{"data":[{"name":"Protein-protein interaction","means":[[32.759631343574,29.376482966789876,25.47452203508849,22.61967301339127,18.13014664457823,22.82843647191729,20.69429534346785,23.67892667252807,24.819125000484377,22.477996453420946,25.718513790992805,28.046873906182665,23.019088798421055,23.351305300500467,26.687993796603966,25.65240363539346,21.293917539102825,23.48191798729759,22.824959576975008,22.629151039016428,24.378922696227402,25.559868002751532,25.88304959968546,23.516545675306247,20.57633719788339,19.736687083540005,17.665681100497952,17.48346077757767,21.121204937016387,23.259224729060225,28.975159638553745,28.497318571943552,33.064150197714056,34.26089664327564,30.18420089809743,26.680615878953425,25.76546243187318,22.125245381556123,19.064340171262803,21.931937271833444,17.622288644245135,21.3281179902751,24.40191149555786,21.78283065178602,22.599863245731317,20.041099795442456,23.589963762672337,23.833358275168326,18.752303229125502,21.50980655551018,25.071301833963357,25.10233205385188,28.405331260944426,24.595690443529843,30.48931626754401,31.816923384206873,28.183731153139444,30.073885124835023,34.293246509312205,32.38133758529712,30.808129881374043,34.243219460583134,34.453928068778275,35.08310900605434,31.241581160875104,28.876782621032003,28.323491586047357,27.76581196584485,26.831491312446524,27.983107802425568,27.41600837856985,30.90612058494848,31.779582356427245,31.867722906027034,31.44582965001788,36.45455825370887,32.82493163284809,36.62928413411232,33.72499242219088,32.14654170537051,30.72353505408979,27.681553059703482,27.58612349960143,25.284664401632597,21.299358425502955,23.282030690085964,25.116868821964673,28.68175391984136,28.445785063820644,34.11075971846052,33.07016210786118,37.26105503119621,35.79718081215753,35.26946821013779,31.71713409597063,34.52849302433396,31.37545642239109,31.9118502627307,30.448465960739203,33.49425031443356,30.15110985962444,29.523122761152408,27.004445902053906,25.718671250678877,24.283961674924793,21.73090751844518,24.4196054701394,21.829660410473146,20.87870335686097,22.284274680386435,20.293100782946084,17.206396224957913,18.31804419059044,14.383423579768182,16.438413265275848,13.388423234712764,15.356534392852101,13.22287476792133,18.705328362447784,20.12862223510474,19.228767290743757,18.834367771109275,15.342836256910639,15.375849959700027,16.839941079806913,12.686925612160952,17.02640104887153,14.251102075296476,15.870424889398567,16.93823963607048,15.659494984229758,19.13025231128995,16.05654136625991,18.33350792974355,12.657682213112476,10.916320211668799,10.06845724930695,7.232363791172513,6.679057677716372,7.078792214471385,7.1800638398966745,9.806212474016881,12.37801007383479,10.98492558334998,13.378128080306602,16.189154633434015,14.14503184818162,17.230186758951472,18.125191452532157,20.683607067730662,23.28309873766161,26.963489037506708,30.681082964227798,34.53094655312627,33.37745391407564,30.700419253084664,26.98135163689675,25.645139844471206,23.60968445989757,20.622649600464527,15.461593663025923,17.30745408489383,11.596126758188907,15.306786484818062,11.687302816845285,6.71007725098193,9.366851165521018,9.486890874752804,8.586252828119735,4.984397142421427,7.380936376842191,7.026419226374779,11.695705816895458,15.277917246103938,18.478424341920157,22.04814365840403,22.77838751385852,26.73335704612431,22.97685122372117,23.69534581178543,18.928526294201607,18.775580556737772,19.264329934892004,19.45568426894254,16.111207857540823,18.03465543571554,17.69951108086734,19.6974635502657,16.016487810013142,17.403306945447582,16.99980964669472,15.468511986453617,15.469300894261801,14.926709053767567,16.952636120829972,18.83794287687911,16.3387617521825,20.158205759472523,21.131798749380714,21.738783434558545,26.269901830676897,26.89037600849578,23.454951680999894,25.11726776346119,29.279105165038644,27.772572898932193,24.996916633864,29.387776096004124,32.86998217758959,29.692554862225247,30.795272155178402,34.545858826585956,33.98779729765498,32.02327210345755,35.08821348078858,32.69151328182513,37.80663307666429,34.095843155865516,33.44256721876175,37.30717958016758,39.099257535138285,43.797121600864976,42.70310105497562,42.81365907372044,39.363406915526234,40.03494363477369,36.48741149189414,38.357455556861275,38.59516901994415,32.77627599870404,32.860681174351335,35.20389311098053,32.34122716056196,28.936967236824096,29.59946036631808,30.68944323804766,27.918111872420113,23.619769458939363,24.59930388837213,24.914685840694442,28.7812951603836,31.333956436801245,32.920356544818354,37.52922892748461,34.378182680633415,30.769283429480197,35.6826454161674,36.67651659901103,32.08880534899989,32.684501975859895,36.80610798336966,36.22384824919577,33.81226556104675,38.03767452630665,40.15560585098452,37.70042664134562,38.245870286246735,41.32130947607018,38.804905014447044,39.41749069692284,36.29599553939788,38.421859849801486,39.44526747031713,33.96686311369089,34.14178918993796,36.43497623903306,34.6826702365082,30.357951749020398,34.71369410562666,35.54740851486791,30.555859791598873,29.201483908537384,34.01420264323596,34.0438520310139,30.502062836705765,28.056072058600503,31.17146268120934,29.430616295664215,32.69241122101854,28.655482472535382,27.802798369834992,26.63947274117698,25.482528175103166,23.517864753236655,23.925963101752767,21.64107677008208,23.366751305214514,19.515632010605312,19.216788142114073,17.09889525129829,21.83191309929101,24.48489563598006,28.126181299099862,28.508646459849885,24.794035548884565,27.567132284172477,30.710074313522483,26.906020960969446,27.46802244648052,31.553337027468128,34.73964263650622,36.28790475304017,37.31989382513592,38.749638096838424],[29.571078587428943,26.164872950895216,22.32721992754388,19.391584078234903,15.04921664999544,20.085531909910582,18.333220072245005,21.691575625212675,22.923774863500302,21.052786940354178,24.52733116576843,26.90357735601571,22.293779541973546,22.50284231974124,26.302896929802035,25.50939992351494,21.365534724852978,24.127173852283363,24.00350111198242,24.149577858155098,26.267493599785514,27.820417312206814,28.257872963097963,26.04957876022522,22.980253802698222,21.655241210949097,19.44895171916118,18.55364082559006,21.891361480607674,23.609891908331466,29.38041582776933,28.66699170790469,33.27921275250538,34.928271351126256,30.94710656929258,27.648608487334737,26.50461899757899,23.52335293157048,20.751148561621395,24.030259190457112,19.999782289543145,23.521324630395007,26.83099024099247,24.505243648006218,25.543413923340843,23.15552054418329,26.769827335340047,26.823262014356853,21.73257744664115,24.59990980054127,27.986953050749424,27.816767789028468,31.076847327615862,27.038044180198582,32.819396650097346,34.439335549919036,30.799402825633248,32.32085822636264,36.699817968931235,35.0701362852899,33.23801271027537,36.41691735781156,36.32526856261863,37.183514339180604,33.47203757438565,30.82061269002645,29.995981249722824,29.014462613995622,27.830571835547698,28.493281640466307,27.892483105456765,31.382193806343707,32.41635625679111,32.999613723074596,32.42403751387859,37.72056619650099,34.318485650114475,38.01470249046558,35.260364803643,33.955578343836926,32.28328020511405,29.47574506054587,28.82446927019556,26.823703362671065,22.961669002049895,24.618416190222774,26.758037256515284,29.897252817509568,29.84111876910896,35.23750297317585,34.064626022898615,38.22467088700272,36.42741054816489,35.60842982473422,31.767117469081377,34.365953776484915,30.933088270503273,31.605338498765835,29.82171695266353,32.57763077762282,29.830366782755032,28.852039680608854,26.965221184229957,25.217894999310342,24.264299386007735,21.02766438933431,23.593730147180477,20.950306504106486,19.345611275683453,20.87464493667999,18.351877801452243,15.801555749180212,16.633804681470473,13.039752434817364,15.581778859313998,12.801923326979754,15.57922858491753,13.883048957907208,19.802233547582727,20.646526885695852,19.32787803600027,18.35758853488782,14.517352613056643,13.982318813886744,14.900766002259815,10.601572482553228,14.47672619567739,12.278911095615317,14.112419896223097,16.101979181606882,14.422340355176635,18.403082704441474,15.992435892585771,18.384387929073156,12.577025114235827,10.268895549665254,8.154014703881494,5.43964713394609,5.03786751054301,7.3328197211807655,8.60332191922898,12.282264492139156,14.25961209649018,12.326749850355343,15.05904370978041,17.08356973471867,14.540141603335003,17.01947116524986,17.478606066758708,19.45320158239619,21.827583510708926,25.37958571930739,29.2333436902388,32.78082580451367,31.986682854753717,29.598177954065687,26.039548649006342,24.686560041537422,23.153099741499087,20.058003769289737,15.437277963487357,18.04241499068209,12.788789045852244,16.921419846430833,13.766428939305326,9.25946133605204,11.27828201703515,11.738026982536418,9.720877786623644,6.046252358749057,7.952416205647512,7.615380282826108,12.813827056635972,16.203104154802904,19.312666825526875,22.50777632018888,23.168264097349315,27.33530885875536,24.04836641972848,24.57559725371982,20.210489988142577,19.053066621530284,20.142062999862773,20.749627542124113,17.55705229873311,20.17527440372505,19.994215833646667,22.35276682053632,19.07034552357241,20.153002479745634,19.575712970502842,17.68493814092028,17.10197891186979,15.880647053062344,17.38393945187679,18.7155301167636,15.4853822883311,19.06537222458839,19.372275705292207,19.94749441204628,24.33463207490645,24.882257746967518,21.235117096756507,22.66161024850958,26.886763679051555,25.18501238847357,22.077463002390427,26.59956010240176,30.182531896242065,26.71502635812703,27.724507853735478,31.538202025875005,30.96344536217568,28.833886239305226,31.894348839501415,29.523475136211086,34.75465447840065,31.125289167324983,30.580948992050832,34.49148356275323,36.53304780411062,41.17744018362748,40.3535672963507,40.63103985627415,37.31721686270453,38.24110107717429,34.8293790918571,36.94515359407768,36.92320162138718,30.955521837657013,31.43400265405739,33.89279696364872,30.730593650051798,27.440174675479955,28.560712656872603,29.41572920832601,26.307748380986556,22.5111188308691,22.842955546770373,23.668934792372294,27.522288488360054,29.695488036882452,31.51398981141869,35.99995817528268,32.96650100380221,29.121162407310774,33.76378453695853,34.86292806523945,30.17683072473101,30.454051112781713,34.52992442086778,33.87460838724532,31.24694224988525,35.515674927106694,37.58870860452007,34.95195749936019,35.4432871173923,38.60890306572869,36.11590317741059,36.958746346674914,34.01978555703413,36.27224684631089,36.99585353167339,31.409519271321205,31.93121296714695,34.10146299397985,32.14393476944189,28.007463294740305,32.62530030061928,33.17868386934425,28.03878803457618,27.08627294651714,31.986035189306254,31.74442887615728,28.061039520915926,25.313769493293723,28.58242982157197,26.585857184783602,29.729612481354028,25.522979649700144,24.72478168116999,23.419827817428196,22.20206953871719,20.362410815108483,20.976007314969344,18.85072878161298,20.6932814342213,16.710330637721967,16.926855724039,14.545761664992044,19.12648505448274,22.309983473680415,25.87204088204275,26.48499345821364,22.419198469402065,24.893134509718614,28.16438619523947,24.418205715194773,24.55988992062164,28.6878034285678,31.99789485262027,33.59715847037706,34.69795236212332,36.11806482804382],[25.452274004643503,22.117025337169434,18.77495512092029,15.183187160059347,11.910681011555324,17.183611938914297,16.18986281303842,20.250137585896347,21.155475208608763,19.91162006845961,23.5566848760791,26.222492196378905,22.352469118228502,21.935282180189287,26.40725818798833,26.189089749233617,22.326854148223063,25.645675446399114,25.927856792519655,26.795276281602195,29.149791639283677,31.30821408031327,31.66788856726488,29.561472901860064,26.518349938334932,24.52043001479811,22.516370851962996,20.864974429114362,23.896026669530904,25.257127782592057,30.650205895224524,30.009957447155255,34.55132200860526,36.717784038652944,33.01819431265489,29.902978060139112,28.808331353310425,26.53895619155384,24.213532925371616,28.169383427817486,24.162519196344387,27.19707244405522,30.85775073094678,28.848352135051908,29.908496486337018,27.69581185874338,31.450355194613465,31.479018308141075,26.508069934330475,29.619151482118575,32.901140680476566,32.67015632231665,35.8115191070499,31.517112891663714,37.190995893316334,38.94698822694505,35.17045409095085,36.30406768955617,40.839015402516566,39.37325790447152,37.113204403881745,39.91084896112881,39.43471195308108,40.35663624854956,36.86832382537241,34.0070067242376,32.525838421490604,31.13219469694225,29.35376462273752,29.430624567049648,28.58804896030088,31.875901482625206,33.34935476272658,34.61474137497168,34.113160336424365,39.79130345482973,36.89872146762735,40.54851554537737,38.15072900667131,37.302518560928995,35.581982378294846,33.23008766252056,32.10632585203076,30.630889873224987,26.851555556850947,27.938244249936627,30.115403463734154,32.79565540787009,32.60980927661453,37.644791721575245,36.0884684908902,40.02563194355234,37.80904897636354,36.72167816131456,32.51397954737398,34.66146974232089,30.849842949057166,32.07380245523851,29.99143097967787,32.50592134324291,30.751553938380503,29.622604619037183,28.644316021974237,26.599560430412126,26.581661610996342,22.56520827900986,25.031029484684947,22.53403032651198,19.942247957397626,21.41422873967222,17.957154042863554,16.321748980247804,16.160857587490963,13.2741633033214,15.748247742601237,13.31208689120226,16.828176531756718,15.435830167905335,21.50208733597677,21.82888247707737,19.790402412857816,18.211550942052494,13.903589598973559,12.906793472436064,13.218132695958296,9.733908254711595,12.772671600048996,12.313486437532848,14.617868270093314,17.943626910984612,15.978274107292073,20.434029794377683,19.019105114736284,21.3432411038356,15.788878587021971,12.894742887691738,9.588892650365938,7.511870114546882,6.461561152242247,10.181206080089988,11.420554084872853,15.968006860825742,17.42899572898361,15.33795185631477,18.527160104790845,19.656723460983095,16.679167265691202,18.43910903116657,18.594443448427036,19.423217317994464,21.644303511730055,24.581458153097618,28.787153473847425,31.542945599011794,31.220985175995384,29.483856034116126,26.160567735580596,25.130438515235742,24.18347185486764,21.47117022771054,17.788463457787504,20.839581230445745,16.27834120896976,20.793284888492053,18.37708401572726,14.223829691265916,16.13550562586394,16.599916425215067,14.023715904182948,10.779745824232968,12.247958314284961,11.721279963952565,16.85125858026676,19.82010927923266,22.563511818989937,25.248753477774077,25.494112285961332,30.024354687356304,27.39575681890687,27.87645999482111,24.12296796958215,22.002453169153917,23.884000764138182,24.923054462884533,21.899265953361542,24.855978009916758,24.55124674900311,27.28977624208481,24.124906643569165,25.257590073531997,24.614424770137813,22.595113026060726,21.639893645706625,19.91812797688528,20.84824167000421,21.43989477662982,17.45953792408955,20.48109126722094,19.622920368859575,20.151638527391004,24.061852006897187,24.421982406365082,20.465713989754075,21.328617591408815,25.560184894941617,23.397081602476245,19.531651784860305,24.293574480180066,28.0344342757278,23.793049662290304,24.536300802676795,28.482582092239856,27.765882537757207,25.11030442545377,28.18375983979366,25.93686082827959,31.50064224156182,28.027973185155197,27.919766178223167,31.92293412346232,34.51742591987978,39.03860985887778,38.787358536865234,39.46135991972188,36.4827844274963,37.901116678068426,34.8099139788991,37.308802157483534,36.785799873188935,30.67522093437017,31.871948251162685,34.40730271431554,30.74345595397317,27.790459087547003,29.63507961212151,29.921693853257928,26.313935352531676,23.606710171679023,22.886163135164942,24.661138420818162,28.369743305531042,29.82663753788885,31.999912723914395,36.17338169650207,33.34846326792881,29.207807614619533,33.23716006330805,34.43892021058059,29.632442001197667,29.32717356147143,33.1730935675016,32.29424171903786,29.28125518500493,33.642229519396416,35.51724646663176,32.4141662677067,32.87415662640854,36.259315858574816,33.88332588264218,35.270197854864065,32.78514947459946,35.27376760191799,35.32874020197928,29.589930827744862,30.875439220059388,32.698946842656994,30.29976064612545,26.682715477637593,31.703858655276026,31.55920632443299,26.192960046942254,26.144727562712408,31.017250662070662,30.109381148098812,26.178030029175236,22.794075944173805,26.10699736950801,23.42780096467325,26.451822977531695,21.849068957717964,21.486781690806712,19.75159176586575,18.108246400919057,16.830877632860183,17.870275852298725,16.45222430835215,18.778416071263905,14.767932152846994,16.294341827890655,13.364059797336635,17.169224727031953,21.400311665626727,24.69628305418714,25.57733220709566,20.82651537808544,22.655727511924717,25.99769145145106,22.219923228912073,21.44538007622655,25.75771431801311,29.16888697317373,30.844096513268884,32.03608366958319,33.4127697843966],[22.62357138208414,19.262410540095416,15.43923659026157,12.60001323579662,7.974554586843471,12.986679348979827,11.76571952182331,15.549662112518973,17.120508526979933,16.414892112429627,20.18848553605865,22.29783066726789,18.79839201511022,19.165007035840794,23.507095012932368,23.058856417260166,19.799885498394904,23.634178280559173,24.951609819897385,25.473507429753507,28.468029289394146,30.640209616098023,31.576729471101178,29.983213867784315,26.51895829041414,24.349910566215385,21.668261238122767,19.352989782420543,21.597893151623968,22.15113092692378,27.910618305315456,26.49900261030013,31.04369890069095,33.619331146373355,29.942687744892684,27.3070203850276,25.607161915168906,24.300609854247618,22.34497141788216,26.37644263809562,23.241707250587915,26.208649139624868,29.891237809930743,28.41932569449981,30.185133977059817,28.463622949986338,32.216677585905245,31.46965707052776,26.52441748816372,29.845124129920876,32.49119901128836,31.79316481018613,34.756893544416286,30.149089472015447,35.46047551393817,37.78787439788352,34.19889745640214,34.687731034515096,39.37581883446092,38.596400290307145,36.15586411715495,38.62293550413241,37.80440356897261,39.362896965274864,36.04229229712079,32.686884126296256,31.5909781259931,29.595660745674667,28.30919803551668,27.818246538598693,27.486936225255658,31.021339599513166,31.954877788028217,33.52866050693079,32.30700637572649,37.99616449477887,35.03486826281004,38.283285673425475,35.869142664018874,35.20169942798213,32.95367971607833,30.83081498047935,28.966579279384497,27.85766242436616,24.438958808252114,25.152940757072667,27.861932563533532,29.873194859632523,30.328016097655038,34.90582343073782,33.61906286070993,37.69436442158625,35.23369695449048,33.73368875345897,29.45439699257995,31.631950030948822,27.810380797990625,28.426294965835314,26.00416341669905,28.025450353570637,26.51872458896641,24.89673228471439,24.3849085477723,21.921158144058705,22.318169981642832,17.946222446192635,20.489928822536193,18.3616502877653,15.463813684210642,16.529649489845493,12.886187000889342,11.424766008308726,11.36245506089815,9.121548287325682,12.614039486893793,11.333236974650246,15.270059615698669,15.244427215355898,21.29331143910587,20.52929911751073,18.836233072126248,16.607733164062697,13.0896988791923,10.865846942472938,9.890910548635892,5.599611063789988,7.759375451993462,7.373304183822872,10.033395049961186,13.816149829535822,12.638934209834176,17.217205513878003,16.55872821789924,18.063135429418637,13.153716101182502,9.610057331898798,7.038030895658035,5.153641966356296,5.758420339944512,9.230896783232609,12.834174357277782,17.11067228311394,17.43880327222666,14.531080005699263,17.28738950269166,17.405917969751144,14.232413653476028,14.94018192363188,14.354369587323967,14.885686398870059,16.67094709228122,19.79593997667556,23.798851596594787,26.744790699667217,26.580763103745287,24.755616497360528,21.650633570509797,20.3405030513322,19.902499478157473,16.94341970021848,14.074836760383539,17.8212704475824,14.350381381305898,18.75761044937542,17.227975521532574,14.325774581348139,15.812163989474204,17.57374129110251,14.768156350517495,11.443874103728865,11.457669981096554,10.202349785100115,14.669659973062544,16.970523287514617,19.34180572975418,21.45067727202092,21.735820208666983,26.20156415464016,24.178855136834127,24.432509299346872,21.421563548170763,18.341561883961003,21.09257877132557,22.78756069080013,19.973994250422038,23.367128763417355,23.17783863013773,26.557209057449388,24.42597371111771,25.136939550452084,24.764046202077225,21.968760698085248,21.013905036808325,18.851703913742096,19.38990141600074,19.989168992597875,15.610917473414538,18.033319434968327,16.97787827849405,16.47863093941293,20.630455986312093,20.290806786857043,16.271286465996045,17.983510757691665,21.904905844025148,19.33704123068569,16.37121995274147,21.167828044967926,24.22835159712914,20.2328408161971,21.575713958464302,25.338016883019257,24.256075380247946,22.218665161431094,25.724018818427023,23.765706209588735,28.939880613749256,26.447920023855172,25.630176101557346,29.364243440937532,32.119395119958504,36.45344538233334,36.3582229226577,36.5544522611584,33.49018437572794,34.72103355204317,31.332806289929774,34.24814447736475,34.06463732982649,27.795642594892236,28.908103570739794,32.08342987252518,28.66087317327321,25.459957812012668,27.492007200846512,28.565688896421843,24.963204238948713,21.99294883953257,20.54968036576761,21.497004276741414,25.12343535150953,26.170116933919445,27.97405440998517,31.985489561726727,28.87461375871804,24.94108186687743,28.977440310880315,29.816514651036673,24.9330497937047,24.97981885497609,28.683372464876342,27.68340858780719,24.966421411074254,29.513292374693123,31.24809082801892,28.26201770888969,29.098953373029026,32.498582895367626,30.320082658327095,31.557747722431323,28.920907621479035,31.734676174534595,32.06665765523979,26.295253734147256,27.64791467962983,29.969734291339456,27.6951457650023,24.094315083847228,29.44516121559026,29.805162006624204,24.477339319731353,24.463214067517622,29.673904894913836,29.18814090869094,25.35476331190468,21.916624683880194,26.049123945146455,23.567270056041785,25.75732097074162,21.032744391690056,19.64855044478556,17.429242680951237,17.077781968294744,15.762272337427303,17.55207748239636,15.65804381814346,16.76583664394497,11.752156831639304,12.759874070416027,8.904637233005412,12.7699703121798,16.561409125136873,19.971185636527572,20.549924809810676,15.897889845790642,18.162338519548424,21.334930345940094,17.515556489757515,17.393971903685113,21.65268727600785,24.91255511580871,26.54706715307812,27.764139122027483,29.27408558358671],[19.329257590751023,16.271238112626094,13.791486288360815,9.11712815999585,7.850194206154039,11.886016418322908,11.796430556667723,16.381500658585882,16.75812016365514,16.54853335993904,20.192540534936324,22.93873335896185,20.343513715725983,19.40929793544943,24.4065652406695,24.83731388675817,21.774713436994094,25.77057671827275,27.00258078156276,28.50187769652392,31.367924281994874,34.19394222065368,34.7639594830007,33.12538283739269,29.929467411717038,27.1405052208779,25.10194206640217,22.400874927461576,24.582360266618778,25.16918480675973,29.960865867984506,29.19972297756242,33.48341361080038,36.3585494966821,33.133459777541226,30.508405037538328,29.35109284712073,28.33876864258313,26.780645240076257,31.510097953262676,27.928229664962796,30.257900411416124,34.28241671051055,32.947706504142715,34.39258828848891,32.72930879067002,36.64587450256247,36.17998829036182,31.448005435845918,35.0461293679938,37.82075124968613,37.320372806624256,40.153360565836195,35.4113844405108,40.733587854371315,42.85027264703712,38.98373072028227,39.31567610991822,44.062260164580486,43.1341527640359,40.249133832178615,42.35561711362208,41.23554570149004,42.52754344837759,39.45942890074091,36.1522977978041,34.10814196294631,31.965536601863075,29.790580523005207,28.87807533273111,28.048847249709596,31.123449901802633,32.77381585443698,34.979501617758174,34.21569081949777,40.228482938596926,37.98939122138385,41.33813539115281,39.435488174677374,39.26069078354763,37.35123278251589,35.74968412919632,33.88194993240827,33.29155435067203,29.78900243334567,29.94456862709878,32.21507011939919,34.03068074528431,33.875646947009976,38.16217794063655,36.26024051646736,39.88663297600374,37.10307096544095,35.55300862465096,30.994761076940378,32.5280947857623,28.373393074403708,30.042556975067544,27.589029915567508,29.652212715981875,29.254003283940982,28.031083994525332,28.281754988686494,26.093304834823094,27.488635063634224,22.830146042082934,25.372213895616607,23.570540608427567,20.036099411460274,20.775745540201747,16.386664776311818,15.758673493538693,14.074509209065024,12.654393996959367,14.708285981131723,13.483171473105578,17.490346261048202,17.231444582826743,22.959589779213623,22.10866668480343,19.555467116963293,17.05795942742109,13.136640077621836,11.1273362133886,10.04061886541035,8.766131167982952,10.04851405256217,12.180859061995191,15.046256136017677,19.405898599851096,18.172274122078235,22.77907952765148,22.56984471698618,24.06708138680465,19.344753774585914,15.736711844555645,12.895172400689662,11.11878920622747,9.977986605102325,13.630832027250579,15.703477112456111,20.529219003067617,20.799305652010833,18.330738726723208,21.599093834130546,21.31085623140233,18.057533087870727,18.532135332864968,18.241613238409943,17.450497616116472,19.384603504074136,21.220208876576653,25.743041776677835,27.37511717204804,27.5638000000256,26.714665010744447,23.844702897466764,23.365776130632856,23.193308818071262,21.316874992363154,19.192212994833056,22.505362603052365,19.34047065887327,24.004909339562357,22.89691169747974,19.637224548821948,21.645728934969476,22.862556712234177,20.10266654664104,16.786134463400277,17.41091518508398,16.111081463923355,20.631788803531528,22.766949054536447,24.75436019689512,26.594266100470676,26.171075377323263,31.034524970423952,29.469865673453857,29.95446047596237,27.315147283638836,24.09414947122255,27.23720315067749,29.01242502105186,26.163696056677125,29.29987354506114,28.701853870036757,32.23407102889661,29.654030737630222,30.841938353864613,30.489188955786688,27.950100667563223,27.011657837121092,24.86549230343928,25.296707142881573,25.489496628432512,20.91027277232936,22.980712300637784,21.02122750399429,20.64378997817213,24.02215972309297,23.489433165248872,19.361279153998467,20.24739800219707,23.947739672232952,20.80466929817104,16.92004850802794,21.826834240260865,24.93721676876765,19.76744660204705,20.673275052847625,24.538555483263586,23.087621540240914,20.13340739600283,23.719289606341658,22.097975944842073,27.755900289198383,25.57357596484362,25.53806424674068,29.32167979939548,32.8097128266693,36.899893367403294,37.56443352950081,38.314355323986675,35.74236583707299,37.543673201329725,34.61290940907918,37.82793252403371,37.071539794078994,30.829464753723972,32.678994286969974,35.74455919517492,31.84610180421046,29.137490675113153,31.752832086995035,32.07138754311494,28.085902393639596,26.304781364582414,24.122416669947214,26.069987725485007,29.44082499899362,29.773257184901357,31.885878499125486,35.45024763879157,32.599974065940025,28.523338079741322,31.720403680762203,32.575193777063845,27.68607645634173,27.075645557134383,30.279628334785162,28.909811464820777,25.800519169031386,30.4164746536779,31.735245139039144,28.030675195999137,28.949902178927925,32.65252469830942,30.744621101936257,32.753038611004584,30.804278074921374,33.85792034913689,33.294643497870155,27.474364374745427,29.80541765856144,31.575591459359355,28.765451853777137,25.985327355700854,31.599446238470936,30.99795347750292,25.548279598722463,26.65709555172889,31.582199821576317,30.20616736469449,26.16724435617127,22.019842677947402,25.85728324802226,22.431705035177576,24.49494926381644,19.272324052759398,18.808346090834522,15.796055615119249,14.642577177571502,14.600077648128396,16.934550257841263,16.35435496990767,18.225029197175097,13.760849777284346,16.36472343044274,12.355149258184426,14.402784884839642,19.24721228961449,22.100769639881435,22.780116943323343,17.388031490670283,18.699424048206204,21.618388896271444,17.590652834423857,16.141062479090234,20.74508086500067,23.89298785101281,25.57252549176435,26.84169552028637,28.257259048313475],[22.84331774740212,20.163345923264952,17.726702616313887,13.282639432678819,11.087426373385858,12.679231305127498,10.491276433125572,14.406453389332876,13.790295516892842,11.957643502130194,15.428790564286945,18.619923362355486,15.150848673262026,13.831360192162835,18.70628709506853,19.158771541710944,15.728246185212148,19.552874816894807,20.736383858695536,22.467307256643654,25.37180189826408,28.482429771469153,29.07977940588414,27.72696732866165,24.49700801952532,21.348144564948615,19.43175037691962,16.462123262598787,18.645368182471127,19.59219870696974,24.000806529136586,23.846718556511377,28.088444769545433,30.65801719288719,27.528473952279413,24.682868032207022,24.0702057638273,22.85648201362803,21.608543932287873,26.95185056207667,23.17230912413582,24.838759465778935,29.072471322562564,28.12183852232942,29.66804788559038,28.528134948009995,32.554896506953924,31.758941548346286,27.455911157093443,31.61791951220706,33.97806257524253,33.545700705844006,36.00053357775732,31.03595985371372,36.21892404858621,38.14856543889732,34.08002867716794,34.116921579026226,38.881635174634134,38.00150726758956,34.72954783318963,36.530249709035665,35.25260231149389,36.48333258318555,33.577509182804896,30.231221742014636,27.908626941041017,25.70409167133685,23.446036039278432,22.577407272807456,21.771014949733203,24.962682787310204,26.48671706187727,28.631284720714028,27.923918470544745,33.961758783598796,31.868908802773646,35.31282303992846,33.600247673041416,33.646995677034106,32.10867261134693,30.914478019678562,29.390843413982964,29.274425971940985,25.599614018540787,25.188398783287294,26.89686959384835,28.776194966870424,28.0658716065965,32.376315728990335,30.221717224004486,33.745549983671815,31.059692308112982,29.752006734799057,25.277983483241357,26.941069875520377,22.913260836152624,24.875468872325474,22.897129592366475,25.851679198490245,24.803685522109774,24.690432255735328,24.244067030335046,23.253559333320023,25.052575936443443,21.13413213484193,24.672582552955912,23.525935944985118,20.65890692751463,20.33682416648156,16.335524021236218,13.941770289823413,11.423295271527149,8.846567665990339,9.181813031673956,7.504863959626611,11.347934079129063,11.400830679564947,16.868234900127433,15.776076517889239,13.231494415139721,10.777317754035778,6.8752937066470095,4.963219806262226,5.584317470216198,5.753776848102187,10.443758808700792,11.567367655012214,15.259417837134716,18.690852297477267,19.088138966686547,23.480453234538704,22.69232624714054,23.198434303594556,18.732227808227535,14.435533156980702,13.877023374876636,9.972343036461739,7.320116317214023,9.749442202093537,11.7656567465058,16.33548756965895,15.647503371085136,13.260084917233385,16.613752582855124,15.912423874870704,12.778639134478214,13.604190681549317,14.337063182185288,13.844363198373458,17.07639122339197,18.650318373090435,23.5798660232788,25.479171652057726,24.61230254154549,23.4748104845532,20.029544477202244,20.257908395698124,18.991097454407264,18.254136428947668,15.709214857283591,17.911889452648023,15.080903267257126,19.81495693635984,19.798495385174583,17.14755952603823,20.199692962377977,21.967741337167173,20.182982718958225,16.246160290412714,16.701113705305023,14.083370050892201,17.977674297321062,19.691827965781805,21.106936066463998,23.094285576912597,21.839182915754073,27.135503240309365,25.554548059131196,26.657110641605993,24.298420661775037,21.788054357005343,25.464810500253655,27.405489922942266,24.22820731387409,26.32948718545304,24.887022864827628,28.99210293240472,26.53920571077876,28.423058409184165,28.8330812976626,26.175176624963186,26.294953987293496,24.71292351237392,25.724388410726103,26.83747576339009,22.647600025626225,25.025961120886144,23.945093417004607,22.79326196106686,26.90082095432854,25.742037765853198,21.701689025743608,23.875787855540953,27.3249800731144,23.87675443618101,21.261043292791694,26.14139268318571,28.43320340996891,23.631351907648547,25.25900651281829,28.88508549190303,26.81892677416248,24.518400409731438,28.637543766749314,27.36019350094188,32.67218451447712,31.188466689161768,30.628218418825053,34.195271204624184,37.63132462726053,41.61673573546533,42.1871107981659,42.38781995670688,39.53786899792191,40.86431532373856,37.39382322757387,40.71228214542463,40.61047626661077,34.28480610719262,35.52100860436963,39.01582728110993,35.60331006100695,32.4278955126446,34.568013934646004,35.77613726859898,32.096531674020554,29.23456528611693,27.52538198128034,28.10276876429582,31.616549812505063,32.19539824675684,33.56885691310008,37.202933594676125,33.662352762425925,30.1851311334552,33.88365708442914,34.00580670143544,29.02212460117437,29.42823823934561,32.42333571817303,30.789388162917902,28.403585955361432,33.3347459591592,34.35132564977654,30.75829369144221,32.44026860659545,36.16824196174798,34.54618824981026,36.237311665326395,33.91604075084572,37.23068152943595,37.2700937233392,31.46770356134478,33.489393366983684,35.86984566377939,33.34859158536869,30.271188813185386,35.91801935825337,35.987290684183414,30.60021518660449,31.18726777258765,36.36821956764825,35.51940531120523,31.574146553052934,27.65785645594688,31.729364319020696,28.55835550312537,30.502505550264342,25.301570353335546,24.301025636882876,20.99501706127249,20.625475197525734,20.464691292286737,22.847106692304614,21.736961085865616,22.992608833949607,17.80344484346939,19.185666588226706,14.451062987439098,16.97285045139389,20.46702067154896,23.720919664233886,23.232191280017695,18.19751727518556,20.87235457098109,23.00237895799391,18.006866836912096,18.41911802640743,23.257576075306478,25.716601269656625,27.142725689231003,28.274277716578503,29.80668570526964],[20.19137043933389,17.99728176503063,16.383477894993067,11.775487715170247,11.074178521893312,10.31302720731959,8.320557402911845,12.184748956117767,10.607619849037958,9.461509680713705,12.773547216107938,16.0979919881884,13.830940860527868,11.965806464547844,17.154144964253973,18.187168697437013,15.641125691584788,19.80783003678687,21.732202011170774,23.838776356356604,27.01469680644481,30.48385696116112,31.231682074335886,30.26124676165256,27.027361783484075,23.488794026340617,21.627401087402205,18.086092391404048,19.423560938370315,19.70536630427167,23.396930571286976,23.20858199076064,27.122482428208787,30.167250694645066,27.49178984163141,25.10484554264659,24.50828455182763,24.277444791333174,23.651663361306763,29.309727393274397,25.95346564550479,27.08339001663622,31.416078081189056,30.951437654449087,32.721578122246456,31.959901041149053,35.99313757316258,34.88471597853111,30.827768551815,35.188961809127846,37.18466164051617,36.59420935736815,38.79825930232096,33.6430962830927,38.47306085852511,40.60958012886041,36.55869411824884,36.03773834216512,40.8548150752738,40.36631992845219,36.72582516501873,37.99537746171775,36.27550088897852,37.7647747024091,35.224567315241856,31.633993515443265,28.98530599274486,26.267077086492996,23.814224696343214,22.15195585225795,21.4285290470592,24.375427679098255,25.940860323711988,28.77138309053406,27.843863160731903,33.99784494109383,32.44050761274799,35.584396065139224,34.27995128177339,34.82415217067366,33.20484326428788,32.58847764532771,30.614067922717854,31.13399663496607,27.751068720978612,26.694336327973748,28.378490669067542,29.575774810512637,28.87876596284909,32.51337503844584,30.13188536515827,33.342173471170796,30.269104660179263,28.632589728361634,23.96840024613717,25.10224897081166,20.855796614984957,23.208404287633293,21.029491725899785,23.712915798410226,23.703703915704082,23.71029290034221,24.128020013372424,23.242970076384605,26.02068611961129,21.92871294636011,25.494498584014142,24.899268006170256,21.676416845796457,20.750770220965048,16.451240443208754,14.671596364134928,11.037053336331981,9.975889807177833,9.479378630683264,9.36098896575785,12.844432061692068,13.868792548396495,18.468699844050484,16.440625089143065,13.718674213821288,10.6136234207629,8.024556005847547,5.455270431822653,4.333950305335793,7.7305890111182585,10.591493622011948,13.082143120911583,16.788502266911358,20.477137915716327,21.37132549533105,25.662752706866826,25.490436583208083,25.489973197612276,21.64601568792214,17.232669751097994,16.931412044970273,13.547684872384654,11.416465567601206,13.446815889652907,15.691801295987156,20.01403325284476,18.674366445897054,16.255161636589452,19.327070079016913,17.678391176393195,14.676710912320491,14.407028318635868,14.842621576297557,13.036813185013093,16.091534615186223,16.534053723574527,21.695003645530022,22.672393382305238,21.990862796616483,21.578137413297018,18.500835685968596,19.343462120096962,18.577845271821268,18.72779690591026,17.437968914935684,19.567920593660723,17.908191418111304,22.40139687375072,23.164047000689894,21.075563541336404,24.017236605624333,26.09327370578644,24.197577741797126,20.322163937431934,20.431273026592887,17.661706212786815,21.02160480949322,22.152748739704403,22.987792908405478,24.327439060303934,22.57106533424342,27.944701853089303,27.148190639678873,28.262382656589235,26.708804821960303,23.666719023102278,27.992305090671294,30.30803120089418,27.297203781990746,29.42152306887204,27.839423467801403,32.31420874534201,30.26364602185081,32.12734222844022,32.69045293897146,29.79273231489738,29.92352329362805,28.15657046721022,28.917775930980216,29.852658169231578,25.461552238542343,27.34469641517966,25.81560191808927,24.13998136320266,27.903859788322542,26.16601767440064,22.211151312303944,24.517110284070135,27.47885709363116,23.50276067428124,21.293479814683753,26.012703979234207,27.64912362437789,22.528244460944936,24.372789784002716,27.74252887713069,25.10159803887073,22.88632168620124,27.323609296158143,26.577382422778104,31.681833172473308,31.17815672144419,30.55943815453141,33.8538362183101,37.73853723270729,41.37918481554844,42.46887365125867,42.6147916421796,40.00171641623275,41.460224715179834,38.055161360251894,41.76315554067262,41.62085669315971,35.30468096899252,36.80749084350372,40.609748299579394,37.173735553578815,34.12228220902677,36.593354006607974,37.90299051201569,34.1078737660294,31.64988287986286,29.271557435850216,29.77404199502035,33.03876628142464,32.98769104505842,34.18884301283704,37.38887958234558,33.79019637886344,30.529532938377404,33.7001433511176,33.464095646193336,28.530103521456333,28.920366993628342,31.369705356424024,29.383959285119396,27.163456159259486,32.20254932847567,32.75635267120734,28.858120630763878,30.996896065782312,34.854836831307466,33.63325077853932,35.61690572839286,33.61060344403827,37.25432456025305,37.025537685515104,31.308937813190525,33.85096725782563,36.25611645493483,33.6012048130154,31.02614312872735,36.89322202585457,36.8157369643834,31.506972796060225,32.6210069798893,37.78279892905383,36.776908863683225,32.862184769532945,28.68414048926857,32.97655603267945,29.550185251987454,30.888398442437968,25.53851457449666,24.393366418449382,20.458538008705148,20.627577299022807,21.104400358560337,24.022975631897015,23.2690426831349,24.145398080919584,18.896010397294273,20.563851076596645,15.51259615670433,16.814798624780465,20.16104614131828,23.034148583592373,22.160869151589257,17.00370152397169,19.50065725408516,20.98744542857848,15.714409792418255,16.189592911342196,21.08054506967194,23.044894487887987,24.35133821678692,25.48120218753817,27.02900771586832],[23.140308566849125,21.400664058321105,20.487555896706876,15.535856047558292,15.66305380141416,14.332271122863327,12.271039468792045,15.42813762620942,12.569653395548873,10.410817127810192,12.721436600474911,16.770664074730856,14.543564509464858,11.184425492759958,16.294092486717894,18.012501629737788,15.338462917644192,18.901979581217457,20.24288797889057,23.162827226729352,25.9239671644267,29.838391367810445,30.18583786202793,29.262472904118976,26.41838824237685,22.497575204533263,21.42644895933067,17.97316889016752,19.417199012832555,20.24068983776474,22.681837272401133,23.65102789593736,27.197971252243015,29.930324594995373,27.663262455813147,25.056400175000718,25.358911231137604,24.81312579240181,24.472641644559832,30.54419097041533,26.726089278212097,27.126947777510804,31.602555689529392,31.28262803545004,32.69575136107361,32.1612583393087,36.229689993232014,35.31100224468537,31.693563471003486,36.32231739415452,38.289792228368825,37.97773241446696,39.93171982222152,34.7915033779076,39.5687895263349,41.28037193840352,36.99310943311971,36.43834790322433,41.150514857707996,40.4035755494564,36.42294059306263,37.37837521049673,35.53619623462278,36.58162104351785,34.30151871053162,30.97405885631497,27.509305137037337,24.957861727833667,21.741067227983436,20.061093345375035,18.785149102248194,21.242024935771624,23.44181406856232,26.50365372275367,26.235066733817554,32.4462711266406,31.50801526886979,34.8424464377682,33.995279160387845,34.87089589876676,33.880825810227094,33.68478455202816,32.21524420343901,33.06117761180584,29.520619470058016,28.089758445310316,29.001806439004724,30.339429337684507,28.764702117639583,32.30371338325396,29.358388045791234,32.071559477063666,29.038902284981447,27.766855487703662,23.198219848608918,23.92336547275659,19.740018958274298,23.195376681708222,21.626271199547592,25.01064944866477,25.032910515147194,26.08591008459856,26.210707511879264,26.25117416778531,29.27238865915321,25.643595733379936,29.523583022462496,29.113136599033936,26.114247799630547,24.939786685046194,20.82151935581761,18.585716944171025,14.717064867674605,13.263292981847853,11.060866778901113,10.423535508239105,12.778366139379285,13.337313682055468,16.846463503555253,15.072287734147224,11.795676376665353,9.193369369808805,7.0218821794223665,6.546462251000015,7.688546644173298,11.586371088527338,15.197916180800544,17.35575688742876,21.15070345011064,24.501856178513652,25.63358719709318,29.89226138680402,29.367184180626108,29.258730678622697,25.321567078940987,20.85267149110138,20.877474054661562,16.90375877966976,13.982711134122143,15.43664696882361,16.273938419694385,20.306695531134793,18.76258939708925,17.079296859868943,20.26638851007793,18.64852547577822,16.065210531428328,16.291980122733268,17.589379493757974,15.842956321609272,19.445128407158784,19.17749495093669,24.476923451537793,24.90219768569173,23.69231854270215,23.631380577330273,20.43362909116421,22.07859902243957,20.655504733747602,21.827985821938533,20.301934914189832,21.420517110474698,19.7805254951804,24.19186168008278,25.31986416302444,23.132946224960516,26.686896400399363,28.499665598119808,27.097043517263142,23.061056276444514,23.55127568923398,20.536630965749424,23.790531486433583,24.888460864012114,25.459884962976243,26.948291272355664,24.577773322483537,30.15869112921123,29.32398344872901,30.879048773843227,29.354477259203026,26.954735421365317,31.269563702258772,33.46064844433766,30.254587698050646,31.67403274107447,29.529837631377923,34.069154750318624,31.654710414329298,34.12533318279547,34.983232598614485,32.35972128800294,32.96020035351638,31.551927000365772,32.62470661542989,33.82221266975976,29.587636927594822,31.71065163878192,30.348955346062148,28.745744298632,32.57640535125152,30.808503270414125,26.876720357762597,29.177394998615753,32.12073745359908,28.071207866634435,25.802740798515515,30.503840871121938,32.06209999850616,26.773274977031303,28.528661675689822,31.837143124592895,29.00088705748745,26.613061836920448,31.041620310286227,30.47080090906696,35.643129042616046,35.21866704092008,34.85149208654234,38.14319641982708,42.164056863243204,45.740499691522025,46.97563751129316,47.20778644304505,44.6488703386998,46.13347043626518,42.71944461032531,46.42792542103498,46.29291269497791,39.97656538289209,41.45597277317326,45.222747489114916,41.76391047207487,38.708123133156555,41.09669621442501,42.340308022960436,38.54050127353692,36.00868084707003,33.83167243140079,34.311064952297336,37.62599459252662,37.63723581096438,38.74215589159115,41.903452561470516,38.18797149079632,35.078263245661,38.225936427792114,37.80545381050287,32.90714547221141,33.41476927301222,35.65972690970129,33.51877108660861,31.432096676170715,36.48644317859132,36.80972218466485,32.75244374831698,35.093433610662096,39.005854764580754,37.94563993614656,40.06463532741456,38.16262120828152,41.86442617604001,41.53788544647965,35.84430837817247,38.496838858571024,40.83868924060519,38.110983669270105,35.6237791086744,41.48835288073814,41.25578694620025,35.91646338680989,37.11148765580781,42.21943859954998,41.04302296377859,37.07182526940935,32.80398271164694,36.854118136376016,33.200540708130745,34.692191810035524,29.287057962062402,28.528598147650346,24.504243151240217,24.311332314619023,25.072445984415094,27.902376955178042,27.40301692806948,28.59579343569831,23.46305510258209,25.186174834178374,20.154716735674498,21.454456627073615,24.651411998098727,27.461185456741035,26.28633147817209,21.277374354794727,23.786087874647787,24.879314230179368,19.469540143749153,20.051812472548068,24.876724798148906,26.422385915295333,27.569138350406885,28.573111027186517,30.00684350324242],[24.152757556813423,22.540948574963735,21.314760537893843,17.239243295225457,16.45147516959956,13.857068180689842,10.790727244297656,12.664170972215304,9.301946349208452,6.027902091401615,8.047584161356554,12.184300927257004,9.878330985040169,6.417111216850651,11.614441904787588,13.340218378376997,11.248544347480287,15.137138656603412,17.48235993120967,20.14357729756495,23.3699392202819,27.299911038079326,28.11090446979494,27.726020332073137,24.649473280720283,20.637136111507544,19.16466512025701,15.212411450248611,15.73261134864746,15.984311392242205,18.23205683680669,18.987089567751905,22.438508906507693,25.35009767187733,23.224696074797897,20.95825488533537,21.168579113024375,21.37006999748385,21.57906510244401,27.769527645885578,24.607583734722155,24.58912010098892,29.01520171340499,29.258683966353228,31.148201170762007,31.13935729230321,35.12153271570097,33.59548309293174,30.273993731656766,35.08240016075246,36.452807472805475,35.89161964660144,37.522473092314975,32.225517681880035,36.56823304092045,38.53892051941546,34.38971428749509,33.2603645130671,37.99701998272667,37.76764438711011,33.57573554794885,34.138069076637755,31.98782648676158,33.50606808872873,31.455004377680062,27.783954290326637,24.588673350874103,21.5049265711775,18.786843464560373,16.528424386411654,15.88042864961832,18.68456642759374,20.142880863213726,23.424573849572,22.4764567460016,28.671108809547952,27.747877322284143,30.764908755451717,30.01952413909308,31.152867790166415,29.99361565191982,30.21949557788406,28.461534645491835,29.83081292300759,26.588318064977837,24.595517105963907,25.496963687335867,26.29010795593006,24.894791379125305,27.989455726124998,25.127221743722437,27.892378589518604,24.690773222283042,23.173700868610176,18.535154191469,19.354116060378136,15.134926216046106,18.363971693657213,16.838251693369685,20.470787070677513,20.381856182506787,21.89663209282477,22.016554171930032,22.62977591090821,26.151114919989848,22.977268225977767,27.17512893333735,27.37065513793127,24.736844269620576,22.83264192612576,19.178987512701372,16.466235149351277,12.247850574115091,11.251848998072038,7.894682234371985,8.730439766034776,10.407195451314134,12.450408356067506,15.197902584846165,12.182446367687866,9.541210547190174,6.2151767446663815,6.64587629805095,5.440797666315661,6.272893015042334,11.083826412223617,14.641673441722991,16.398764347212957,20.150421542124587,22.894094855926664,25.042457511547788,28.924368892752696,28.53667498438395,27.612388222667896,24.434754150209,19.898401970916808,21.139218991942936,17.058826975082656,14.575843533122478,15.055849775785017,16.829295692407783,20.180055833306447,17.676572862425864,15.73144373909714,18.294771696029272,15.738543873467977,13.481895859383789,12.889409041945783,14.336123372114633,12.305325067068019,16.248275395117673,15.56106545572408,20.825019720823484,21.433172191740432,19.614607428329915,19.399860901985644,16.091182762420996,18.214649579736463,16.503054657445183,18.583634206954322,17.726198853977564,18.329624433921676,17.928336613465838,21.85583646027861,23.973723506954837,22.79949132757663,26.296724824951593,28.737478665004854,27.595809391979376,23.57378495521469,23.48134578262703,20.00489305744022,22.29340984324433,22.683518589288532,22.590455631289853,23.62973041812489,20.771521802367676,26.344829225320783,26.018679116743936,27.72129699237009,26.927592915648066,24.516788665748784,29.31374260837131,31.80178626808987,28.72955562952686,29.826615773301064,27.457866385593334,32.41469709243627,30.730447779128898,33.13300197398707,34.37529786442767,31.42668379747321,32.400033620957586,31.073811122094135,32.150351956075795,33.64521360855081,29.60094727477909,31.491917080853383,30.451004514962428,28.21542960598265,32.22616292951818,29.95577629826622,26.272616080064875,29.325225395263587,31.902831087417685,27.726819481480465,26.484141966708837,30.997732644867735,31.863544738867404,27.09833943730664,29.37008118291781,32.40676119881584,29.271386397742248,27.603965259085367,32.30331203365588,31.932893587267646,36.65859327648994,36.862203873395416,35.930677255889904,38.962732622592654,42.89494415499966,46.31049730704552,47.49428146423253,47.243797629528125,44.54172263686191,45.6822655548732,41.96183913689718,45.81103070166439,46.129772516042955,39.84919739944885,40.98024343979598,45.12025350944818,42.04927105250369,38.76559783749091,40.96932931167525,42.88393399517145,39.2938339334302,36.28759609380934,34.08932935759516,33.65969037964686,36.86020661868455,36.789041837120095,37.3502688641288,40.36170842471815,36.292677116232035,33.693305967788525,36.95634306220569,36.01359303854904,31.212044293402673,32.36402007423351,34.361767856716966,32.1053356099765,30.604907271871618,35.73090062818376,35.85868058111753,32.07032784400239,34.8711374969516,38.686755023385714,37.84322266752841,39.65439932813283,37.53329341016402,41.39534622910355,41.510370149828454,35.94665179115412,38.383242459364574,41.16574255786595,38.69979165369963,36.11279001101342,41.97818152735405,42.28965208936976,37.087535659322825,38.00459679160453,43.275772432402,42.55701095561315,38.72101370470892,34.63533977355594,39.07464447299969,35.72916702362591,36.88252759885268,31.54895982730951,30.127475231040187,26.00834244928214,26.63155149403425,27.15321055835207,30.148970858320997,29.20912901519158,29.713353813177587,24.220590278228425,25.221099636894866,20.034920197562524,21.208563015682202,23.324552244125876,26.15756468561264,24.265206716724688,19.835981721629636,23.04721411109292,23.557470845749307,17.927287174233005,19.837148699321443,24.461483478908264,25.532414457383464,26.478633278108614,27.382397489830037,28.891634778805173],[21.592213900136045,20.53863563557324,19.948048808518777,16.553075292945678,16.593654884044803,12.104173059227273,9.578279103559861,10.412416585209249,5.990268967771701,4.880285685301996,6.044500677072213,9.617951078724515,9.839505105703495,7.1086278022359215,11.701188858206446,13.73612175868254,13.335329310287925,17.442536798532387,20.739525602140354,23.153546871397392,26.703741084585154,30.58913971721656,31.737060684782165,31.698564486534977,28.51811133798402,24.53459158304528,22.776944771850253,18.560947769406017,18.086837775562493,17.20369413446296,18.985311410176575,18.9868379091649,21.97724495334044,25.576585409449116,23.915831171927856,22.479221207868797,22.20309640404058,23.685972817952294,24.358263415149903,30.38056613681703,27.963520825604956,27.8465407046606,32.13759759990624,32.75886904233742,34.9952875461677,35.19382354188813,39.10363788133322,37.2237539633099,33.94829859154222,38.71627189394709,39.753607680257225,38.90643479703487,40.397611181388235,35.00814743695446,38.93190914654468,41.30081576886589,37.3750359667377,35.71711784155201,40.45993862971961,40.78340512038024,36.48532604668946,36.63418706932708,34.11428073620091,36.12589460119756,34.39102644626686,30.43506063203723,27.471397251004152,23.875564788362542,21.551176031693664,18.495351498480353,18.346262002678007,20.864884315407835,21.897904420326444,25.71985018277151,24.16823708563156,30.1898519965674,29.602632860144503,32.04219953218834,31.558146120953193,33.04859810745551,31.493835862813246,32.127115832854194,29.672128348563945,31.512337304248035,28.75164071220141,26.37195539315355,27.622537197048462,27.538657131158676,26.700546029451854,28.900242896281206,26.187379235681437,28.72074609967557,25.109499285291406,22.991099895025236,18.270736524653657,18.475205948008803,14.122846721798252,17.13401855853707,15.07363395639002,17.817966975431876,19.205035913215575,20.375513459233197,21.705821759371467,22.03944034721228,26.3943404833622,23.019945506499766,26.955396791960702,27.652050416272917,24.743270497550093,22.377501233710287,18.69987743664689,16.905545628016924,12.261991693271462,12.998729555314432,10.363693655274158,12.515154540529133,14.228100515425036,16.909757422881395,19.311920048283227,15.619486869893631,13.538511226855963,10.180625977416616,11.34920732553202,9.358542071158514,8.091420198785297,13.24131938117409,14.854635279429017,17.46093506918804,20.905007023753384,23.81312415594357,26.251527779112706,29.92992431840474,30.236075621511468,28.91914854210604,26.41492372746745,21.960811516882448,23.201940511351726,19.831500013096264,18.03402297706119,18.70916829855585,21.235595409159306,24.566834771376683,21.860037179063603,19.612632559939158,21.77441309044023,18.577560150539142,16.438574761760336,14.624710553147226,15.16773436578962,11.885092558394172,14.93442854000328,12.926980404020263,18.09530698396579,17.631625215189604,16.182924805284784,16.886324927297377,14.365791710188399,16.909636730322767,16.23340693481883,18.794793057116525,19.38300713786086,20.378388052163253,21.008155173822573,24.597887332607332,27.087226544811568,26.376862396312127,29.429820599045247,32.196680106290835,30.726377149717404,26.85528317573577,26.353979156580355,22.979458157567556,24.88436954554984,24.789926007531452,24.292189461288867,24.54557566312568,21.587830649424493,26.86173961280875,27.426936983051647,28.863682448790325,28.88312129702197,25.744493901758716,31.01057262287829,33.85282118010359,31.083188050352128,32.5367179722864,30.391722394709177,35.540498490605735,34.4150186831169,36.455225046757235,37.66057032188952,34.40305943102931,35.13636358137584,33.497538607109874,34.20746149580277,35.424110965235904,31.215479383181403,32.54701533979267,31.11142242574733,28.40350567674644,31.98248209841985,29.19543325986838,25.768856405213228,28.927352698809695,30.921299331254044,26.41824770041388,25.822173111123835,29.962624732041263,30.06723865722371,25.371504721665943,27.880369345678183,30.50379549807695,26.91713303009892,25.652998350667612,30.51099702289545,30.644982058072305,34.898877746324814,36.10344575804977,34.959922730985824,37.61257231538883,41.8210983700967,44.83916042874873,46.44457232605876,46.04469740600797,43.57207045110981,44.76585417120081,41.13364362969023,45.31536331703826,45.64100832034936,39.47495441198305,40.80345561474689,45.222750488316464,42.22339453553437,39.07985718319872,41.564096831711296,43.63391500498617,40.009022175012326,37.382395148587705,34.5662346531519,34.00041510128664,36.87770236338457,36.18298286050534,36.53611056494435,39.048592342978246,35.00664021184882,32.69967579525119,35.37859665886025,34.07783960195391,29.468441531666116,30.635932359709198,32.03742707560232,29.504946136922875,28.31207861206569,33.392494514039015,33.06973019801877,29.180809348429886,32.40947887247843,36.21675410540483,35.787745621038326,37.744384725836404,35.91206082843959,40.017248608955875,39.97296274710162,34.638307997268086,37.433409070712166,40.26896055111438,37.79699867904307,35.68385966727195,41.63137324307185,41.93406866125922,36.935521633216204,38.22916892907784,43.43563139308409,42.71041431769585,39.0049189241765,34.84145822708957,39.5145552539283,36.14788824039991,36.6480264388765,31.37763901601075,29.64165333026501,25.18982233651148,26.50701668060816,27.3816378379149,30.746134646722414,29.96547990634472,29.94880941235776,24.538370147432914,25.60621188026884,20.430578806619344,20.49367837075274,22.155028974891565,24.477302749403957,22.23470804776376,18.07252995055271,21.031134386447626,20.769271394808353,15.232810204711837,17.46972459679728,21.73252196045773,22.164359377533085,22.912783635684757,23.78667960105957,25.304146175760735],[24.740357398175504,23.96939623160755,23.54871840741553,20.31731169092022,20.282794164989717,15.591424415167479,12.897617617625064,12.75277335622894,8.069641303152546,6.1198253066708395,4.720691089091191,8.4856599116033,9.405311234192286,5.890200398558862,9.362415199910707,12.06187594856303,12.483047293540514,15.997826201763665,19.492134082488437,22.163621122068182,25.612210924266066,29.685735111532324,30.841140836772702,31.168270877747887,28.18249977576298,24.055788438321944,22.62157743491126,18.400738932691393,17.344011727831763,16.36716897301666,16.763758832841962,17.464203670635296,19.86964940656644,23.371434925790457,22.26427046228931,21.068539621777276,21.352359056074338,23.164969701597713,24.352166050881543,30.498521305548504,28.25925581673758,27.466262427162622,31.69499044691083,32.727604754679966,34.976331279582574,35.58807380295709,39.40660873542799,37.33605525968652,34.53098666033869,39.46578353247767,40.154279743098854,39.343105971370626,40.48290569275329,35.098302532834325,38.65776186323117,40.893747588592575,36.96781123783609,34.947831113172434,39.561317623237024,40.052571332763065,35.46760344316901,35.12222832527723,32.32390306237075,34.33826059473022,32.99385047872616,29.065322534472784,25.796663413324197,22.01393018780285,19.603628943370246,16.076260361006085,16.062826419776016,18.231776798789628,19.11256385112599,23.290989319216926,21.71854141468609,27.61292908755687,27.582413001301095,29.827095323177993,29.800561118458308,31.708353801659925,30.48361686901761,31.678843333151782,29.393217526901456,31.730424241620813,29.12860295116677,26.24525228380898,26.967837946001485,26.559314398205476,25.28829750938778,26.94178421171172,23.919138811781313,25.99379636152254,22.271158891086174,20.20063249284189,15.59957916364432,15.299793468117258,11.010380005077872,14.867421798123058,13.423741002677161,16.735585091458756,18.236581897065115,20.452455528168798,21.620225260302895,22.89045501409837,27.550406899461073,24.78082379181373,28.93406277926381,29.997636097643618,27.432192020882777,24.687907480295394,21.439851343904508,19.273763359957478,14.722913013172848,15.337865935344785,11.808388640649474,14.085839266131863,14.751424746975168,17.681630501855267,18.861074940205473,14.802600839765013,13.09954390514848,10.2649787092649,12.75626142429301,11.569967471673827,11.141343736607384,16.18870295594572,18.189831694104576,20.373148718921954,23.764908440126217,26.191058506896603,29.10884737612815,32.575443288067845,32.743538875029394,31.038535325398037,28.845394270500304,24.41937526961509,26.227316104798994,22.577722078004015,20.610267687605127,20.71657754143634,22.889921715936868,25.697344202522054,22.54817429154235,20.660112094526898,22.47044241468394,18.950754475760498,17.37427220728413,15.50780894613213,16.527069779419076,13.4093418793806,16.62978612247753,14.016636960542243,18.839157574711507,18.00892589908687,15.796915879758288,16.765339383799457,14.3536620374956,17.66795328983987,16.486722969811957,20.098115770651265,20.885762490234367,21.02265541859515,22.276107554761346,25.446544993294662,28.540482460432415,28.232748968794034,31.513700963998104,34.380150315287715,33.27002067604027,29.35894815573476,28.825316674749775,25.21356088271636,26.6333086471331,26.19917200106092,25.2338947848914,25.298663660630908,21.788059452673032,26.979458700886884,27.847169498201872,29.584169620287934,30.025511071502564,27.306010886603392,32.6859028715197,35.55947847341092,32.79103954975004,33.68694113875898,31.162077229820447,36.46642395673536,35.52603542838825,37.82981643019433,39.360289088091406,36.132382607660716,37.270782287480046,35.86847365046954,36.73672889177964,38.20971945380101,34.18918242083808,35.55206995724439,34.35592511989093,31.467223331985167,35.134003132037925,32.16297556392596,28.89875882764112,32.31910123627475,34.15224431889713,29.635038368019167,29.403151893051184,33.43534796409884,33.22605037614337,28.74924479488378,31.37902123100432,33.83616251956939,30.08860843006431,29.058821126703442,33.94810363299448,34.233002122604695,38.305211545308936,39.781280982835426,38.53790207198866,41.069714040460845,45.27694725429081,48.178452276756786,49.82303275554732,49.24772204170666,46.749119064439945,47.78676161679585,44.02840903751268,48.246060235158076,48.78756594970473,42.67084809866213,43.81548843993951,48.359228598198506,45.53574155168283,42.29900873861246,44.639891191056854,46.96359866385997,43.43753626044927,40.567576986598425,37.87567940580947,36.91466335576589,39.749429163332515,39.06787341359016,39.11051636167066,41.50140958860835,37.26813967955892,35.326240361139284,38.01646988058755,36.371140712607286,31.913885063795565,33.434367437153945,34.58314955328183,31.95371104252368,31.145809005912117,36.17885281930743,35.634776330223445,31.862982065341892,35.36400727740577,39.10141628119563,38.86653245034223,40.728200049059616,38.86559668706273,43.03475567200743,43.14737826315762,37.92660068281294,40.648810585242316,43.62987726325532,41.25242030607501,39.13802645165569,45.05209758176126,45.51545720776319,40.56990877462031,41.76739440595845,47.00542388705702,46.39445849726778,42.71878291430715,38.596076021842876,43.296580336405974,39.94814198781125,40.41384966056511,35.15715400756449,33.36667680450442,28.8925287240842,30.29248884150696,31.174552168691275,34.532429457408576,33.69034246923343,33.58720337219948,28.115382761577465,28.925060309645712,23.76743777536164,23.868891910397476,24.99967020679107,27.250983781896934,24.5801282968136,20.93217557688022,24.097709874862332,23.390470025633572,17.97602222549832,20.707075090476526,24.68841437507757,24.65186127071901,25.183336629461312,25.88931242481797,27.302700244448918],[27.14135587752841,26.42705850549001,26.29086896653972,22.37258084337937,22.772765013642392,18.7276205367453,16.20549013915011,16.78412028686513,12.168100766779377,9.683141667948192,8.508041624162804,12.434771725839799,12.470511664291443,7.881958227181782,10.996589076733011,14.110071126504964,13.788843912788057,16.487038575374296,18.97145092764312,22.393969265350357,25.276005537962458,29.669302292416667,30.324924221208054,30.516030322819567,27.939830681561588,23.59884771496173,22.929526148705776,19.03430334711407,18.52995641834774,18.44810193930292,17.91717563843084,19.895012854062124,22.052993741697875,24.96129584698685,24.082466427369635,22.432855285522248,23.56311407411611,24.57400601178699,25.68382897482861,32.05376350000984,29.18110133753588,28.01325274051967,32.34210284768032,33.25273183706712,35.04414919259826,35.64765473653333,39.498155465313424,37.79195474157317,35.22001308310252,40.26606570997528,41.15925613041966,40.66929057033767,41.75455885860045,36.46978650887473,40.18607899037563,41.94753271772026,37.7894494988938,36.020937005695316,40.51608503737909,40.56033971175995,35.81584792263168,35.39574074662041,32.66516497793183,34.07095487198689,32.850675822264606,29.316231385091182,25.26708106721442,21.8947075181559,18.598841748359714,15.310501255686953,14.477839302570358,15.990093362336191,17.81107240742558,22.121510623558684,21.492262638906503,27.41527925116751,27.905583894515186,30.494679825168838,30.786704965874225,32.8010933540703,32.21693290013377,33.49104895398842,31.832298368900986,34.08733341220861,31.19237359842092,28.357130878475896,28.448921986180903,28.51649983905489,26.3916139694931,28.260174864476348,24.72159774740349,26.319337096061165,22.812965454058293,21.354192371503686,17.037755198285833,16.402793255512552,12.450070725555547,17.402701119376356,16.723945660039426,20.54979104672423,21.643968540944574,24.408054393988774,25.031222429463384,26.69003688804272,31.047136848417292,28.397603395295835,32.674836308829676,33.479277524286545,30.920832745522716,28.439669477224925,25.037209430175306,22.591561961966747,18.12131456103977,17.918041363701303,13.918616841042438,15.181497597294822,15.365124186628547,17.504440732891137,17.96725449071163,14.554939345715622,12.320586890209515,10.273350540698338,12.59219701681968,12.572524877891388,13.281574515291217,18.28252653400888,21.127293501717674,23.212590434556496,26.819334577997715,29.33001822875091,31.948933569967284,35.62751916196816,35.41220099625238,34.016702078313024,31.331394187086875,26.828623701880783,28.38183942558293,24.306269123291354,21.729582725329504,21.836176163386593,22.935220729497416,25.67098019278758,22.694645826106466,21.401523237406863,23.496366498304226,20.449541736678395,19.0150049453843,18.024272524787616,19.66602102496443,17.07653388950355,20.660602398574166,18.337451594379193,23.17663311310541,22.24144456478787,19.956553570048797,20.92451317473462,18.34286637361742,21.684260854597415,19.971250265733534,23.58342325909536,23.59996484154255,23.27635277943682,23.889209099321537,27.224791866253153,30.135877700831834,29.381195618395427,33.09632174948826,35.57737838346361,34.71148500733058,30.666247034826473,30.575204105302106,26.943839224662714,28.717093939179463,28.614940326359996,27.83221972338607,28.34212044338399,24.69819334482903,30.042612587559177,30.47858443144104,32.49214304869249,32.50384125982956,30.3184612746136,35.426211625038384,38.057654836152636,35.059778351394755,35.57318000099586,32.73082534920236,37.894489406856536,36.41194866505448,39.175271349518496,40.77816029460358,37.866916991646704,39.208605813086386,38.034190525090054,39.15118892469049,40.73524351005632,36.72666745203938,38.42709195372832,37.27367109497345,34.720873410214175,38.49904580646174,35.79095000905431,32.33658953106735,35.49238848216892,37.61021624819943,33.12868874133438,32.322562098758084,36.556256144788506,36.73710453850855,31.91286358698634,34.28209861130873,36.920945991048946,33.25378503250462,31.768970410004886,36.561455183963126,36.76688472252597,41.15890135753117,42.267434317749235,41.384287118844135,44.10487146158483,48.38922606104557,51.407989649432345,53.075567956487575,52.745739143749404,50.266882700495394,51.435809578293664,47.7429305903649,51.86163099159846,52.24928407650826,46.05347038464637,47.274903859364166,51.63880714477018,48.633977416442484,45.41810335172671,47.736909411753636,49.78198662459895,46.16225765851247,43.308831624849425,40.83384520379396,40.20636934157825,43.2061807436115,42.72454466784926,42.96549890333918,45.51656043505337,41.328619344388116,39.19469912014695,41.98062145404432,40.51147635733472,35.972709710708266,37.30454988062223,38.5858748828882,35.97322616809193,34.926306362732916,39.97660357389273,39.477760719353604,35.52344327766974,38.877331488344275,42.69925001686963,42.38367057479617,44.41358558757871,42.61621739701727,46.72918438548534,46.66142006832756,41.319467077446234,44.123126210017205,46.92237799904398,44.39605121342714,42.2431973762719,48.18871315449695,48.38595457190169,43.29433210724935,44.56234036555047,49.77288503636746,48.91362313185924,45.108774962899275,40.85775719141181,45.30046385503737,41.71382167881438,42.49678054720334,37.13310508150378,35.79921366974367,31.326571909647456,32.15755151618923,33.19062322255169,36.42064313320852,35.80062704992171,36.18864979274302,30.785757918709407,31.887348749686268,26.680105000653146,27.10946428516534,28.757572952955414,31.125283712015417,28.678949342996443,24.73765646322958,27.716408710423064,27.258367063473628,21.81028077045764,23.95225312964736,28.116847302122284,28.212716239008458,28.79437149712958,29.483394272841387,30.79656595032745],[22.05262151935268,21.821427593559307,22.427001105033646,18.922162675973862,20.42389251192078,15.354172855925993,13.927171762757316,14.514633811649414,9.86276056620162,9.900857587006596,9.40188686482292,12.420561889001515,14.194441970109569,10.841736771256366,14.40250337392336,17.160637385933125,17.42050491921229,20.926853308478627,24.000212382396114,26.955657945616288,30.218552776240454,34.39998512396696,35.31436576721284,35.394396826864735,32.52112054653766,28.319573293363927,27.083912785875366,22.94742165742291,22.292493101444975,21.410010759942935,21.77639891117164,22.4247680385656,24.635556261449242,28.276783810384142,27.33114349796669,26.184913345727008,26.382085209574306,28.123723641874935,29.091206050020084,35.24379639769269,32.74285895534553,32.17861914752465,36.49033905693451,37.2835472513481,39.33321903416136,39.66474092257801,43.5799585824022,41.79883961551727,38.76512405543913,43.63775267194825,44.64191365194876,43.89005291041036,45.2199918751611,39.83966415279571,43.585022083985486,45.806415179034,41.81700988840536,39.966968476376096,44.60010652843432,44.93841770511501,40.37472377910314,40.089389437079475,37.30812315719452,39.13383215842279,37.79784361420741,33.993464004029796,30.445057979296287,26.83125318585678,23.998986493836366,20.55617745288579,20.084282492142407,21.71764673476036,23.22420274266023,27.589728010052156,26.427782064396382,32.27769044119676,32.53571812734427,34.78296000476882,34.88222275810856,36.81479523434542,35.57770578131418,36.667243337844994,34.26653284611899,36.444335784431935,33.77855152465531,31.113411044034073,31.99048084891496,31.63123250576818,30.391275560547115,31.97994146439957,28.87761929748313,30.679232830285095,26.901760765427934,24.81219528779091,20.34414546415312,19.520293496824745,15.421987190432525,19.38964727849466,17.71237356248528,20.103392032585756,22.617712715772516,24.17696040016771,26.027273347651203,26.61644953938232,31.347283583777923,28.004500185533207,31.773306920526892,32.62019686598273,29.513869147277592,27.09672848059493,23.34300978041846,22.06150731169088,17.393574730294173,18.367721217675175,15.609314982911014,17.449152843494705,18.78156189110381,21.121991345317667,22.764681060943623,19.202146368555297,16.922385028992924,14.087114679297342,15.379595971043713,14.091964446651563,13.163129925314657,18.312668627499935,19.456790241438195,22.538914876240018,25.903136744675713,29.007311713984407,31.29148425133735,35.010926314245786,35.48654019542976,34.21227928037814,31.717577245436438,27.264776607399423,28.161291315434,24.872300406282548,22.85559828544034,23.72108541984842,25.655804653373306,29.0198144337149,26.346858326862577,24.446985086855474,26.67770790705815,23.47647905445282,21.543314438005613,19.807926784098104,20.403608185537895,16.890512550122985,19.44391373442314,16.50235868495551,21.224094104175993,19.272760661645297,18.123297914654923,19.944772637862044,18.16966134540474,21.189248321114867,20.803813909936043,23.83570438884015,24.733296568760707,25.50074587797025,26.220845432477713,29.76834438215031,32.34644105182838,31.468424916875534,34.66184877863085,37.258035371124194,35.754029378806486,31.8385359781016,31.52763750631278,28.217488645034415,30.253099840061523,30.14781990657617,29.518468173086877,29.59111668647551,26.390035272431867,31.53198448661755,32.42485529362563,33.93503649394714,34.184950995544156,31.03621618904532,36.37124992734041,39.2407732071377,36.472942006887294,37.825161055468726,35.52199495931665,40.69629157990624,39.42226949439466,41.66171887635451,42.896656457813364,39.72132689010352,40.45253483203743,38.788400917732694,39.45388752642902,40.52477974070232,36.191278099991266,37.40672056789514,35.645780696021234,32.96307684165917,36.18468828209773,33.27320881623468,29.93914725477565,32.76393830230128,34.48884926077123,29.798517767974964,29.10210282121781,33.01713317764739,32.82762357545844,27.846439443635205,30.16845739192389,32.51544557474477,28.61253206163158,27.18867706032694,31.964569588541657,32.56012739792749,36.65119106442474,38.44834300036247,37.59586898452,40.04747550442328,44.615684763795166,47.31494171372565,49.41032705594805,49.193066960508965,47.032447238975834,48.45633717802888,45.05588633421254,49.418858512900336,49.53215736961044,43.450033198253195,45.08382972805532,49.5118378920261,46.36532517699791,43.43330545818315,46.163541901338846,47.99522348328291,44.23475541638152,42.05389264124258,38.92085581160278,38.67934755250352,41.4088059215143,40.3342009161151,40.731899629830906,42.884661412637215,38.996918368957616,36.784372920372036,38.90828526073247,37.4742596831229,33.067175237824216,33.965895033495975,34.843320613092615,32.07416535224058,30.935657809942295,35.86228662077767,35.080414310316655,30.898281172894063,34.346658800436195,38.19201103234534,38.136852045560914,40.46584576909865,39.084366593320084,43.31672685589018,42.839449478407246,37.67870103710874,40.937165886048334,43.53516279746354,40.88237085217156,39.266145875383216,45.26684707339594,45.186725402043024,40.26771170660727,42.04764785418448,47.09130559990171,46.023887724466036,42.318518591130385,37.943843337827744,42.45923308889658,38.77990102889103,39.00005064159685,33.725728975082816,32.324505145377174,27.622794187834035,28.84292943574926,30.28645537436361,33.80266526494155,33.50581569760154,33.62970227247289,28.51318112090026,30.023856061761634,24.928206929371854,24.359450018971582,26.19206330505024,28.04668066170296,25.8002499613671,21.748213780737238,24.015793838796498,23.21841593905708,18.112988177946544,19.70005671831195,23.56143955577134,23.362768259015034,23.907453431187264,24.688155590090766,26.000470033115466],[22.207732908502695,21.834313413100976,21.82018328282015,19.2967627420624,19.751927198113304,14.039742742463506,12.044037186555988,11.153566175930012,6.433070448044693,7.17509328328768,5.889151347602173,7.810107169017855,10.82398200285078,8.897158286272083,11.69917146317785,14.014154985496493,15.264982613644085,19.039286619229383,23.009873797342163,25.279859921454666,28.972360672984006,32.85108916140666,34.264287337439534,34.67383847283049,31.52137087970965,27.53710112868984,25.7361609284587,21.412446456722638,19.99110555834314,18.262920867900863,18.94867861694535,18.620083068463043,20.7824863962344,24.823000403063055,23.87203438463549,23.27798508964837,22.89328105355812,25.4939799419047,26.75737188639524,32.62595097357141,30.896236392706708,30.363561787674954,34.46947041572433,35.58835260273786,38.09059506354725,38.66905306369038,42.45719524637626,40.19951177413094,37.23160808544857,42.03595153067167,42.61096244044644,41.56194157600877,42.740468660305154,37.32269177242587,40.68306515656024,43.283075860294794,39.568747511553376,37.317856033961135,41.95358028069625,42.81161234407322,38.32371774398494,37.899427128696175,34.97890027149167,37.38151740956161,36.09992275276718,31.974346827320595,29.12580180512252,25.12149149590039,23.165822953616455,19.43712435510372,19.770478436292958,21.88062082395273,22.4049134440141,26.66219471383034,24.621338469093384,30.286782436304545,30.217857630040488,32.036348553952294,31.98705918208768,33.94543153700116,32.255061135448486,33.49752965310948,30.617979375693636,33.07602345426116,30.819081152745554,27.91065557553032,29.133320653763402,28.18764991607636,27.6089088825223,28.762109343343816,26.108710799521116,28.18834947313039,24.274804633134067,21.70840549367754,17.193099429120068,16.610298542895823,12.498199866978041,15.388634287318904,13.242962337164114,15.227829828181061,18.06554983577982,19.484730425522297,21.722916325506002,22.374176819812945,27.471604894075757,24.41594151249354,28.188205555271043,29.511208110219187,26.7006105074647,23.77697933204427,20.52946803096168,19.23925020883066,14.661431549596088,16.3956383764676,13.820828363551463,16.62824941657439,17.801021443050868,20.958953837377518,22.565242088868448,18.34490139701458,16.84754802399291,13.77556995404107,15.865964188830283,13.950655361083523,12.358908220214497,17.27245627821834,17.84121851524298,20.584501715864185,23.651970940223748,26.26453351778267,29.198210419392517,32.51021299727678,33.23842806228082,31.386430967754908,29.62809058263103,25.332314349423626,26.94647591912985,23.92399150382122,22.48862736603981,22.911128599927206,25.722775555968482,28.731806963256272,25.650801266575687,23.403590948443284,25.081396718678437,21.343393167205885,19.634286950526672,17.076506968251667,17.23674429506792,13.393725757067228,15.570998643352446,12.094195943030098,16.60766015702927,14.820901322706586,13.266894259801147,15.082238387363443,13.566434113079126,16.80610267419323,16.744082645730284,20.18196457571805,21.936007944587715,22.686781992321276,24.366575078310262,27.424647099262423,30.497359733528587,30.37167684367817,33.22216175903971,36.28085366582967,34.81553897985814,31.05451991036136,30.239300558599886,26.81948437771995,28.124596236417997,27.47708971273294,26.415491031597288,25.954073992238072,22.687668488410477,27.52883392277865,28.960815366093325,30.336836878172036,31.2308364499072,27.85382314973963,33.45743241868751,36.555847328119164,34.045139232841905,35.41569366179984,33.241213922717535,38.58241813595124,38.000368416464156,39.90673755266759,41.27585027890204,37.818934819875174,38.62199292917444,36.915596687415004,37.44917193468091,38.62160477049819,34.4715665125728,35.38697065683755,33.85592861267741,30.69664397551363,33.95133083482732,30.67056438168348,27.644819727740803,31.031733903402106,32.40877934073275,27.737214515437035,27.97540394407796,31.648337963995527,30.892186671651785,26.565756301269765,29.322570380131612,31.429822476750108,27.432950492349395,26.76208736012277,31.67330755744188,32.30449498811742,35.95359810053438,38.13612770792977,36.727836169184755,38.949044532298636,43.305066681640355,45.89623243933868,47.82966906908761,47.163455405977096,44.86374039910321,45.96000261200386,42.33127597258611,46.7626965217743,47.26043584517557,41.280231586643445,42.60319297833895,47.29734588661844,44.51925134650462,41.43922105149911,44.0059612325228,46.378342331954755,42.839350141835816,40.33392248630405,37.1750903105478,36.20718351450517,38.765298279893564,37.603066068816666,37.55521016345701,39.550902326690554,35.439873796374904,33.66934449700591,35.85486228445222,34.02235562040304,29.75766750703404,31.192951711201655,31.89698901567117,29.10717500714841,28.502838702801263,33.42416571612234,32.573140951123364,28.775605560217464,32.52250371981656,36.20783341985186,36.26361055885349,38.21672934381284,36.600122502988846,40.89740503567385,40.86848136078339,35.87211658012781,38.83662248112621,41.80777873071189,39.4472802331572,37.71245485374356,43.62488261736153,44.06870471672737,39.328158939477085,40.798083800045674,45.93419223364918,45.32471807019989,41.786376073398856,37.66390805475377,42.50263178326629,39.206559081377314,39.17279190461548,34.04807331229418,32.01398199315722,27.4082129072457,29.324329674344686,30.402551148528964,33.970600160693714,33.23411962278045,32.73411120291157,27.435835380934815,28.306326219028616,23.296223644682925,22.575290494201525,23.394931580273596,25.186723987188987,22.391948524676174,19.018243707916174,21.833558039505576,20.575692139740692,15.481015043365348,18.335540871739244,21.878425225575263,21.369011142854134,21.75299299782325,22.450370843048482,23.861126314694037],[25.52406751420989,25.685393521996822,26.319877868303355,23.634582139980438,24.699108483059977,18.92431092702461,17.22061456984907,16.24325986948194,11.620972126821767,11.763903221374575,9.375194774049087,10.918248926707196,14.392872284456121,11.72132050592511,13.182772795198783,16.138443396896683,17.93363528165184,20.850787869955198,24.563428001094493,27.315630174742573,30.661268806708172,34.8030910970176,36.01302969227705,36.67788934983528,33.87905325908182,29.711861738858605,28.479504482961218,24.29457485130273,22.621523099383463,21.05911524002801,20.00389997960561,20.67393659882492,21.87455710239731,25.67947005242289,25.570234532305992,25.23346799408801,25.57779695193173,28.303528143827688,29.961500087680623,35.96472608996018,34.18344217434865,32.99652729617491,37.060534222563724,38.47847259287544,40.80692472163091,41.68450999538105,45.42062870704473,43.16713192921956,40.63522577657642,45.59966399900046,45.98852399138094,45.070370906648016,45.945592767545676,40.573538530603265,43.634656516036124,45.98524902346785,42.22198737798269,39.704440559255325,44.14770434569563,45.04735291093387,40.24862137905164,39.267575996307315,36.06316154437643,38.25845779595576,37.479905210693744,33.55720709153328,30.1438575123562,26.147054590156504,23.81155680449146,19.72832333201525,19.879924457313162,21.08437711416628,21.832955906993018,26.545422479571137,24.864456507607276,30.205088647114987,31.072679635882903,32.654625211783056,33.29012820335235,35.752623260979185,34.55905458076488,36.38457663399119,33.77390167023175,36.65511982027034,34.490853150905735,31.194997890428365,31.798246830470394,30.608457480503766,29.425397009678527,29.888911906714416,26.79576274280861,28.007661426443573,24.023350617514524,21.639578506375642,17.60705673307638,15.92171919918555,12.397503943805857,16.415595532601202,15.191200884752625,17.294129434329573,20.64526750600784,22.977118191029696,25.191055494539558,26.57614356561781,31.87948596589026,29.21865985420057,33.04613184317603,34.56239112343378,31.8543345103964,28.79625646428146,25.697783531320784,24.325859980699924,19.781788816698775,21.251238251281514,18.081468580150382,20.582841876487343,21.090014807740417,24.05017091587068,24.59724616046413,20.442193043595726,18.990024451760668,16.5424822183751,19.12586626117143,17.964785118940505,17.061218949758654,22.122796496255848,23.01893400640782,25.73822220886564,28.847807069411846,31.335310672152637,34.378330274875616,37.66279591319424,38.299899465353185,36.33170528205256,34.61105298244246,30.28004155410572,31.97615317020001,28.701122399999353,26.922306219760607,27.17291469340106,29.36643038718274,32.13187655178475,28.877238074694908,27.071939923617986,28.672091181821955,24.890569142080935,23.563627920010823,21.250104768975547,21.833759824595138,18.194162671062298,20.38575777266286,16.490717245707895,20.377094150212216,17.645761647579914,15.82208906383465,18.312563299319013,17.26557537458034,21.011253122324213,20.654733336429782,24.7663106475695,26.514658613666988,26.63148161452949,28.498502857884876,31.369212830238432,34.75285199401288,34.6598415321699,37.799856537341455,40.76628415233047,39.519621110493816,35.66316087012907,35.00937307736307,31.46859319103856,32.68522202867411,31.940538972300935,30.624014820722962,30.087727899113872,26.413462158897307,31.113246579232065,32.772539957726366,34.40273349741117,35.538626877509046,32.51347752742358,38.13911364932589,41.21416737446405,38.65147584970648,39.591543913271806,37.07258964907967,42.47686097903342,41.82623181751232,44.06159186122507,45.641564860100246,42.29672348935032,43.36476740234627,41.81874543960971,42.475858503500994,43.75278848783124,39.63370111344191,40.60016408130023,39.06270065980327,35.89617628935582,39.072282725953016,35.7060363308224,32.76416583384592,36.07757782872861,37.31669989050622,32.58224638926637,32.821805827899475,36.38371175076344,35.41347202987233,31.02913735948204,33.68933125747174,35.60420109340486,31.421188262526922,30.71368347214958,35.543559411381885,36.45407469753345,39.971677119384395,42.50846948715526,41.25749129773931,43.34730069303783,47.87792235865381,50.26137694896185,52.457112511666224,51.82398123075034,49.67052461310166,50.80821718494249,47.238989217015806,51.75007689462739,52.24213441886371,46.32029263977763,47.69551420676158,52.42697975993886,49.64328882885501,46.610617868052614,49.206435294815954,51.55717012200881,47.986066507422414,45.5441271193829,42.35596280652922,41.39144156640468,43.896302491414446,42.61264861704657,42.449904310650965,44.22520016849221,40.107101617335495,38.562133783934996,40.501944299268466,38.44909828261654,34.392253502712656,35.85116204779088,36.179588367143054,33.25198284089267,32.855807569378605,37.63030980082328,36.433316530942534,32.57210649036555,36.51970694524059,40.165359063233495,40.507582909655284,42.607134812485164,41.213142153737415,45.577950308175645,45.397005372044575,40.54506527553308,43.692073715964554,46.590969432921,44.1738448202013,42.661464089512506,48.58251275380463,48.88387812074028,44.1799122411673,45.83373466618129,50.91192017632327,50.15492760877031,46.603295511898445,42.37517043370761,47.108713196302205,43.62704412524038,43.51225627776734,38.37085547139935,36.55970609018888,31.84034325585567,33.61672658522637,34.97639486652775,38.585333885086634,38.072858672660004,37.70484563781017,32.494709533560616,33.49597894198363,28.485130666420723,27.644345718730623,28.414377431250163,29.98920028509231,27.056861776598186,23.961145478084497,26.511569334128577,24.875750834189777,20.14669404996753,22.741527157199858,25.948441586097168,24.92088400090596,25.08955495196248,25.628321142519198,26.806716960191807],[24.571524021846734,25.004688549563568,26.20263183206344,23.198248422359708,25.069374565073257,19.400748379392095,18.261889267648883,17.953093958193136,13.334680376330127,13.799261408017678,12.06566834929381,14.03033929739067,17.152552246622466,14.038976179368397,16.144414053530852,19.189843868152625,20.469458303224588,23.43044952026048,26.72148746868265,29.772675127251397,32.944560770510115,37.215792126058126,38.18383237494569,38.625462037723366,35.93159875493855,31.668432998363144,30.642998558654885,26.514088192632116,25.263203262949748,24.016310086517283,23.091331122966757,23.979642185879214,25.286333299054107,28.998001062640306,28.83182602784728,28.261547516302485,28.703489149214576,31.081308574623673,32.52488732996871,38.64356171466225,36.50002554753649,35.43601376099648,39.6180522189134,40.81519623235025,42.93573863086396,43.60922434122682,47.43359298852275,45.44314931254973,42.76885306380033,47.73319882092889,48.397814970080205,47.589651331494316,48.61230425623519,43.23850258182094,46.53667765622004,48.7730872660932,44.88575620336971,42.59148377490872,47.06613300890469,47.722238241261195,42.92263093653013,42.06308073685748,38.94060086415509,40.87536854451824,40.03449283850946,36.24909745715919,32.53293572026949,28.736331488059076,25.970911175204108,22.07312364703983,21.78629155974623,22.712355522305177,24.03107046778067,28.78253227001186,27.54774746075244,32.96600217991375,33.959985486441994,35.730668188560685,36.39214686711378,38.801546174874815,37.71688688608048,39.39183114336965,36.87919618102698,39.56840567829645,37.22010383134019,34.11166195071904,34.71223583485857,33.782084170874015,32.42943955076716,33.1201222639448,29.882679605027786,30.989490973482173,27.070110742545996,24.86646927889742,20.858219957994294,19.10503013814889,15.616517673948257,19.854981148658553,18.58692526881501,20.51142623110028,23.97563654211949,26.00690508326346,28.31329034110446,29.359773007599372,34.55442975935947,31.548900207681275,35.2481953364177,36.517551742315874,33.51137655107051,30.73718344509553,27.286076773374674,26.209696823880307,21.573933657291974,22.940286451975407,19.96102675883966,22.078338554240517,22.896731933153898,25.44071853476646,26.233953120483072,22.441155484360632,20.534255887334332,18.088656426574616,20.057270346629526,19.007637944918443,18.115614172311226,23.25865462507927,24.03354149206753,27.145872237354126,30.339404913019543,33.22890669676699,35.84238514746257,39.351779865666785,40.023222385956785,38.3992755941699,36.32625914980359,31.92757351412343,33.08852195143027,29.867189361030867,27.915485783283515,28.555937440995727,30.437618034121865,33.517911119588426,30.560039087765894,28.82351936277921,30.75887706438471,27.245338487118477,25.67931247849973,23.64107682265027,24.205392969926926,20.502714553667392,22.638830803227794,18.866551620588915,22.88022061486442,19.815029439607237,18.597328414292956,21.2624624117072,20.24289201576969,23.753409056613265,23.566865249038624,27.289960892831367,28.788161681865997,29.180140754199545,30.537793896218144,33.73093903262793,36.761211767653684,36.22506446927695,39.43386454211556,42.16671680755862,40.755957690692526,36.853199640068624,36.424741821382256,33.02192508411279,34.69254278278564,34.24517844797575,33.208019093042346,32.868442272656914,29.348226088723788,34.181083246237854,35.63538150431923,37.21571867103829,38.041532191471724,34.9035864239759,40.44124619028334,43.44853606717594,40.796417014006664,41.92627828252993,39.46026020994536,44.773541169961106,43.77499945385496,46.08152917812695,47.50009605028635,44.252905318580794,45.13713768633216,43.49911090402085,44.11945480307452,45.213397402697794,40.919959222544186,41.92499273671512,40.10977064252127,37.1693857766651,40.17260585887412,36.95208024132243,33.88742016479691,36.80543625437057,38.11198692155527,33.32161772843626,33.107573135728074,36.68227064608309,35.899428674504634,31.14630745741529,33.545011302201964,35.476542210883785,31.28499988071433,30.210417624151297,34.91952508094942,35.94049469482194,39.574113594665015,42.11440654806338,41.18645567182939,43.307491411050286,48.03060408831654,50.36353329015194,52.780515025690214,52.431576227616745,50.454637141160426,51.84588668293754,48.48936774647411,53.02872051794437,53.23089245111015,47.294138752006916,48.95191443367473,53.54972705834241,50.52783293244104,47.65913194265233,50.45213886364478,52.44393325834131,48.71862861728159,46.63810393729461,43.29617640283504,42.82839043296556,45.35205124293792,43.9547144694766,44.07702832473731,45.82472233981279,41.91447128479833,40.10803448619544,41.82386461732867,39.99744892556864,35.9049581040993,36.95127261996806,37.24662083300301,34.285109794367024,33.58336047870655,38.30715363031921,37.05240667248702,32.92225041084091,36.7345074090862,40.460934987335946,40.83327935274836,43.226996713547365,42.092477999659934,46.4515733838485,45.901213652025916,41.0297652777887,44.46453934365167,47.09407955209976,44.48571548172569,43.20164494245984,49.171902342210245,49.10146778249988,44.365826940012,46.33038608027427,51.29693006039596,50.22632591186188,46.6230189901982,42.23807603186714,46.78701369425298,43.07867169651249,42.940954588870895,37.7786566681174,36.30989001747178,31.508262493782876,33.00850267598793,34.67565227346285,38.30817989318514,38.129634757691385,38.02805706890323,33.0213274928186,34.459326677371834,29.454256805123254,28.43036745189103,29.760854662166256,31.22148047774291,28.63333716360402,25.165616860089827,27.228356619140662,25.722787720980026,21.11537886697886,22.91410196218786,26.138617271114825,25.15677593018824,25.38232148014546,25.97838316443154,27.088714333869355],[20.213575658420528,20.886252141072557,22.352063622349707,20.033753170433197,22.259297309301818,16.052831106624534,15.699484642495836,15.222625424857055,11.20550174911511,13.342420938207354,12.398536219787088,13.594778994012398,17.316418323644672,15.204980605282799,17.819341373872266,20.344680214952124,21.702044683284903,25.311674275817886,29.025956079375437,31.600593600636785,35.13296217760448,39.15524867789372,40.39437272053529,40.713434011928854,37.69390177503171,33.5977188831501,32.0225432470573,27.740465523686094,26.47139623071361,24.74219920006668,24.946314868142135,24.6952374972294,26.341011327645685,30.510566228464054,29.983402101104588,29.631319018373148,29.2600762801964,32.01285869045166,33.24600971132095,39.10725025616879,37.28349165936316,36.79266331960367,40.94119591763034,41.990498573916895,44.362753621100474,44.803710422428104,48.65719030635643,46.56958003151009,43.497128760919075,48.27215610763076,49.0107501761377,47.97345317215274,49.22563561170749,43.8082796281289,47.17071063876088,49.79763742382699,46.07151421069072,43.801938259100375,48.40991722323446,49.27128059382533,44.716631495806276,44.14332127831739,41.10499344633495,43.40830481611715,42.30281509216247,38.264771898326224,35.1112687506274,31.158579985503597,28.84234020116029,24.99815189772592,25.00256662395074,26.471279372815467,27.45855354231851,32.03158962195563,30.299689243526966,35.79534738038561,36.23055201884063,37.86935106860443,38.12606640793366,40.27567813943656,38.59982318266415,39.95033952457725,36.89717213520231,39.38380399464406,37.206282325369216,34.35008851583634,35.632420279670505,34.517403406159985,33.94694221495282,34.716485488772705,31.95970960561423,33.55857046512583,29.54536494855818,26.92153433173912,22.71718107583365,21.37325988216496,17.69376782983589,20.76456491770552,18.65173469604757,19.449075455284465,23.55949937175301,24.441620544058846,27.496289365199853,27.614789061035633,32.883360818790244,29.426145638637095,32.67836339007389,33.95267878915728,30.66390422903786,27.97928009414315,24.43894654502779,24.200863871345867,19.690147892571062,21.825628083449978,19.827027689278182,22.302935212647323,23.83633522493834,26.58307534020252,28.307040219992405,24.36863351083379,22.478424476827172,19.492580798246795,20.91059775733594,19.043241341498884,17.149753577671774,21.997281054160723,21.524737353503042,25.098381849920816,27.974121672782204,31.13052513104244,33.525459118458066,36.941503257261346,38.10100081218147,36.54054712194991,34.70783571117431,30.467158945580653,31.277970766857667,28.71359715429676,27.303737246671997,28.333643972009874,30.931502193719176,34.3475229862956,31.57773189404606,29.363663587493217,31.315363786422303,27.743931797331395,25.850061456515917,23.350735497799906,23.153696163804835,19.0299288586924,20.303630350678883,16.375248017841002,20.147153399132705,16.63105849797498,16.4705285782499,19.458097229403347,18.97036427559401,21.94630343491053,22.720973526002982,25.775664206064132,27.83545402806293,29.026531641151383,30.442619808261895,33.71088967591967,36.46284307857502,35.945401679972754,38.677645906066374,41.539570029921535,39.70743037587682,35.98594578883947,35.31501855171711,32.18155009021865,33.91085241605762,33.440792604415336,32.55064825489107,31.932116158850302,28.885606353788265,33.50472788209023,35.1789906794343,36.335015535131326,37.27786862345642,33.483071297109824,39.082042249557276,42.22720166503506,39.797109313713776,41.55147690557771,39.553113673807836,44.82265983006364,44.059986776140256,45.89210905854945,47.03031161274289,43.58231757677922,44.017413953849776,42.04564916726854,42.32389842290912,43.06559023838958,38.647486118383206,39.26369223948606,37.11743343087405,34.069941312074626,36.666218901321024,33.32330182285033,30.43587062252919,33.17567417449184,34.15664248227579,29.32054719742035,29.3667499687974,32.6276873033873,31.529882353515585,26.880141029514867,29.318710423774984,31.003000920279,26.706869721269666,25.877257556211436,30.56674324523297,31.80072322323838,35.11326901857347,38.10954121234263,37.05072408834379,38.948412652203096,43.74144793677051,45.87642097150067,48.46604373155824,48.1029119541113,46.29235295025244,47.7797252468085,44.59992495619899,49.25193500195932,49.3316752535651,43.52835962442144,45.38213240385342,50.01118401429636,46.98756983234673,44.30019480420995,47.30122084281142,49.230861466673815,45.497510100107355,43.8085284430302,40.0797687083069,39.75824603353037,42.05385911205026,40.29200210723775,40.48560365492587,41.974887039693805,38.294173582664044,36.460019419617176,37.76001582515301,35.98322797210749,32.01368988131061,32.80381553460205,32.86709126244926,29.85794320377623,29.135863934342964,33.74614651206377,32.37057831075847,28.189445390342257,32.047195532573184,35.74237336177127,36.246223212599155,38.72650024834716,37.799218215732665,42.19218196728828,41.480526586584126,36.77609759446759,40.39066804858708,42.941305652670955,40.3411976548646,39.36112869616351,45.28689353838165,45.16837065541224,40.62249974333733,42.80160644653164,47.64137938076461,46.57221863913443,43.10743341137995,38.76971683316534,43.41600853457496,39.82104625006354,39.268581125936876,34.26879990195362,32.57434884543942,27.74422068418347,29.6863760798261,31.451001045419936,35.215376630831216,35.10405346820845,34.66878959379193,29.901488489382082,31.438082611430275,26.6607616919906,24.979049958285557,26.243893184334325,27.326683264061103,24.9094774274982,21.525018939991867,23.10991764818552,21.366524427276627,17.162204417003387,18.712158338864953,21.582150909672293,20.412165256254767,20.634492211197777,21.336645442645278,22.51950024930298],[22.38844470991011,23.696227264900095,25.678616072644328,23.944985168617638,26.450241904274346,19.965061914794344,19.920702824076518,18.83472249537717,15.183386645057304,17.52729554896195,15.994014232375058,16.338391328908223,20.879449297109282,19.052717221117156,20.784294901022374,23.3458923004263,25.375258652728824,28.67710237125124,32.58301913118566,35.13141645936004,38.647072127537,42.67493357655389,44.003599269516606,44.56908138471373,41.625207682607126,37.51877686559438,36.00466192309416,31.71526465678522,30.040458939156842,27.990366759533295,27.4538886292327,27.147292360441593,28.097544586363544,32.35390686437936,32.38765566975255,32.540563133423696,32.19408752624016,35.4785920911582,37.01986334735108,42.77748607271899,41.294406457400456,40.539090595296464,44.56915304377481,45.8958183512679,48.36810435956462,49.023051554329335,52.81114729345425,50.54416878227737,47.67267504944602,52.47452165093799,52.96154983757054,51.83328580242434,52.88607138952148,47.48196571917803,50.485432737786326,53.20430256922262,49.6088909425738,46.99709601848299,51.48627013386638,52.65138718760136,47.97663631760779,47.01026126160024,43.733584106574234,46.19604101293644,45.42997507299512,41.37318871146795,38.22636040660495,34.135325946377854,31.972843056885186,27.863066594502445,28.045832993359706,29.103071497390054,29.872715280939534,34.63492819845998,32.76162963575257,37.86437994687342,38.75511948183834,39.95728689033698,40.575915763311066,43.036160162375324,41.35961554471791,43.101570937980185,39.85947674726478,42.6963191434897,40.82189777715182,37.691026022532164,38.88912818152521,37.29097310884472,36.8105734358231,36.86579424040351,34.15289375028984,35.28129833737813,31.19683732770333,28.426992635254216,24.665986063697535,22.72794233693353,19.653120195350052,22.510139160743122,20.61927580048162,20.661437689862932,25.61965554651419,26.595906304956767,30.134624999583373,30.420641932846248,35.99931789208798,32.77141138134245,35.81573236338229,37.4228457849583,34.202018477935894,31.296290225055273,28.058883472378426,28.127471027563086,23.75526602555251,26.20525115432065,24.183435541040883,26.848585081817077,28.1379639868968,31.037234295912832,32.33497384847522,28.234347623464288,26.576703584405013,23.764086516302758,25.52277287082655,23.73288542704656,21.816536929676516,26.596690760177932,25.7348395927387,29.3350531049811,31.991266008248815,34.99188867279688,37.57196288425987,40.77104923430631,42.1789482735552,40.36833241578466,38.92386960253802,34.78135249540406,35.71750059154913,33.31787742335459,32.02589675985122,32.95810518798303,35.61441788088227,38.89503466278603,35.95635334983713,33.78495957603069,35.534589531082176,31.749105960524243,30.06853185199649,27.322204502673323,26.99729395460993,22.77337790325527,23.558171138623564,19.125816762349267,22.01212655534361,17.480086277224224,17.6062716621472,21.294459735764548,21.595919035927732,24.74319457347913,25.84252527747083,29.23558326543389,31.81429996433841,32.85385679265575,34.728762265420634,37.740222878592085,40.76738507172435,40.50214101478862,43.15783218733921,46.13886302867659,44.300450340097214,40.62696217001362,39.83347003365519,36.688852990690386,38.15712732378813,37.429977914567225,36.263775592327015,35.274466922110726,32.11284587890421,36.37618349469153,38.53524703155697,39.64526950364859,41.0643374957453,37.17566808694269,42.90184045244542,46.167514274223095,43.886577603018516,45.58674626445621,43.56269740251291,48.91634640307671,48.4132612012203,50.20143922370174,51.42369806933372,47.8858310547157,48.3471223320732,46.334059007067076,46.50470872458264,47.18417682372885,42.79676360472961,43.15789305662846,40.91288099037,37.67021558748231,39.95279554363095,36.368547890367836,33.80235986752592,36.52599257582337,37.05236549912587,32.215564221661616,32.72433619492535,35.5538684169738,33.86946539531089,29.564741578101433,32.008644044467175,33.20927612895069,28.73157184572297,28.307271945017998,32.795161365496405,34.44703166350512,37.1926630289329,40.938428487030464,39.80399828167031,41.3137559728967,46.20929096957239,47.92213734790714,50.83865463766293,50.35990980889564,48.786842918822494,50.2601219014162,47.20531793824893,52.001391390251136,52.12314885995258,46.54041036315188,48.45171752389278,53.197023241612854,50.30210038958903,47.74029321575868,50.823702756470446,52.856251967057304,49.17573993537926,47.68040862196174,43.71928803303214,43.2509518960495,45.29264897555276,43.17580426744837,43.14302270031365,44.17444290238787,40.588691694172134,39.13991941133354,39.934264610986354,37.83626820124651,34.27081444049473,35.10621641793795,34.55498403534365,31.416461518214938,31.122383211746637,35.395599164334534,33.54709434679889,29.503235763194958,33.63064022598361,37.12512807369293,38.07357684478781,40.605013584834495,39.988231912423416,44.44475441477596,43.62178626970843,39.30045946953294,43.074234318392804,45.594859942411944,43.06573093238896,42.47577987977315,48.297214316996524,48.16775040658169,43.87921537882581,46.25310191457549,50.94792666594971,49.87900782171916,46.56685026825036,42.27334672522941,46.91786215741292,43.35385396022128,42.402123602749256,37.60467866613117,35.83996809934211,31.015721464920908,33.23388641175941,35.18034855880281,39.01554034137851,39.024659994759745,38.34651083611074,33.79185193105083,35.27397126129886,30.686893309838638,28.563114024688424,29.375502750588293,29.999770531091762,27.396405016918404,24.65577527056793,25.892509421884565,23.524607785128346,20.092136515835232,21.66741561627082,23.732870600800847,21.804976698198114,21.699753457389363,22.213157457700234,23.143660405041512],[21.59179531920764,23.45711359094107,25.792371975116687,25.226479746480155,27.871019237548033,21.1209059979854,21.76724684811105,20.102353062250423,17.50544139044234,20.796733199209857,19.484880095758857,18.806009120735048,23.922044649824105,23.0120051563837,24.48761157744777,26.607826962724026,29.0441283694611,32.53845893070978,36.839228639548296,38.960948462744,42.71790710955446,46.50754258659778,48.1232071960932,48.77597622465628,45.636301353585935,41.694900985140876,39.80280607033335,35.45320397120376,33.50694747167291,30.937269656242883,30.799600296021584,29.603294020537902,30.35452407685271,34.90560733401686,34.996657109450176,35.64028066869721,34.68690101195485,38.5566980030005,40.132703136195886,45.52617489571251,44.57992160243193,44.08461138042559,47.95530803889474,49.362387293660696,52.105982442235806,52.74679874381917,56.47589000822832,53.98878599669657,50.982361141138455,55.6146732022323,55.94402973632996,54.56536800146539,55.638056953529244,50.26100658740168,53.0150272412103,56.10025714391836,52.76700905688875,49.95004271403904,54.423492674971946,55.97280492009095,51.45444489836162,50.46388468505442,47.129971228048156,49.99210923462421,49.23518819516592,44.99036395357044,42.34541964804044,38.08007396983832,36.4023943808757,32.21777779066575,32.73577986031325,33.98299681667968,34.339596656341875,39.01931006341607,36.67298304397077,41.53761047925976,42.23011985619461,43.032952039966034,43.534350852099095,45.95145221667065,43.81268417572405,45.53909068896077,41.78098444129405,44.66331922079577,43.18225381831138,40.099331887968766,41.7539858942017,39.70396587115201,39.91897188640844,39.57924874800634,37.33504861099829,38.569041137503994,34.444265781528856,31.325060160069725,27.784845994891242,25.915295471892254,23.15562875765625,24.891795168986157,22.60785127599792,21.247904344138735,27.002712746873026,27.074918457676663,31.413315863652397,31.087429703619172,36.79382447007812,33.5041870438274,35.95887152676819,37.822362563603455,34.56040216626169,31.599158205884358,28.70305512235674,29.60019219386752,25.62918294059142,28.753668366795946,27.443093625726704,30.435392905793677,31.989382709441717,35.12816995134792,36.76809594694215,32.47722324170362,31.037846600598076,28.02315821172947,29.67547832273952,27.435562273729172,24.93001515993174,29.263162358162454,27.28576472307625,31.03563721355012,33.1879279160325,36.12799302534566,38.68761017036744,41.540960633385914,43.48897591474864,41.51964793434082,40.63411668277066,36.783175656855114,37.621847312634195,35.87069722474423,35.11063932932822,36.16834553359534,39.386864334794716,42.73145677282677,39.80615459138281,37.337585168893646,38.894901129846595,34.96587672664481,33.2513587461708,30.06222205540633,29.110832435587728,24.71462308615482,24.457420941847275,19.833913951913253,21.583960217463392,16.204955194355996,17.505901568896892,21.663624363611703,22.936463754529523,25.60843628241592,27.61752590135154,30.62881014372448,33.947676801045745,35.42610959692488,37.673083374492215,40.471135418769386,43.47436052586184,43.47203682272952,45.66416246227123,48.834696057981674,46.723204011622514,43.28130912024782,42.18731936176013,39.268544077126414,40.4991046965977,39.546416578313504,38.29103576606585,36.82660052545613,34.02667474583765,37.75276651638667,40.395139073048725,41.11817362140949,42.97651103697934,38.59565523442893,44.36248392835222,47.784561828998925,45.83274380065422,47.93295439580064,46.27656018813154,51.60493511227846,51.521591798417134,52.88076912440478,53.956872104702605,50.21894719779843,50.372607606276965,48.11017005897553,47.93656396051618,48.31658668127647,43.95749462707252,43.80302273263062,41.31825977333407,37.85871192486158,39.55048499424697,35.721551024205404,33.65340290771737,36.23788878899094,36.098640892290675,31.366390380061524,32.56924783474339,34.70963924628488,32.26163865951683,28.574630249747273,31.056390907309858,31.600194644445708,27.015977605878632,27.293777102807027,31.49122203454278,33.58424627422632,35.484328344341144,40.15183321299192,38.766041468601564,39.732736097058805,44.635881679190064,45.82819839519638,49.056238470151754,48.4003378209325,47.13337923627214,48.59547187426707,45.78117296462597,50.718983058964994,50.837336790904146,45.61875369698877,47.64590860847918,52.478772657233776,49.77532676020838,47.4570765462538,50.68848003423116,52.807589941622886,49.24620493506614,48.15134978812595,43.796350723616705,43.231932224332894,44.84988977515177,42.20879035907358,41.99752970136322,42.42970916789025,39.14095317062044,38.057292538189635,38.11336517259324,35.78897952787449,32.757088801906285,33.47354272624378,32.21885298497837,29.013450189676703,29.15699515829719,32.943047118401,30.62980900659204,26.838595696382413,31.179398420722475,34.37635709089736,35.79429061117416,38.317079411060845,38.08293408531091,42.548957853259175,41.60536877824743,37.822659224396354,41.734863900290506,44.195917446772434,41.8242727491718,41.74972946898918,47.34721977718053,47.273545030297136,43.41964441822686,45.99951243967658,50.44245005595611,49.477603239566506,46.4585994814054,42.35407593401171,47.0569537143378,43.735159316797905,42.163036799300805,37.757480725287344,35.68741338799878,31.00956979198835,33.81512542569539,35.82994035854945,39.72861289219495,39.78619146062875,38.59687060834063,34.457740018621315,35.83305795606769,31.703218993961883,28.839687478088777,29.08766350908249,29.01891651584706,26.445332763911928,24.508077136962015,25.099828694799378,22.073315399349685,19.862820834808442,21.33224021639157,22.2626110614512,19.562665392012565,19.144749267554328,19.572937783748376,20.32169085067707],[21.769058757430166,23.993136921571004,27.005110760976123,25.944693201280394,29.422712488146853,23.016421123977068,24.022648982048082,23.140907860455705,20.238220857874897,23.27929295151584,22.180633965751134,22.25439250486269,26.930914715711104,25.319460822953236,27.250371869516318,29.68744703839717,31.678920221377155,35.13590193956831,39.02780923496658,41.5543293845533,45.10730596136567,49.11205828787226,50.438800917655215,50.898200706120825,47.90918468735053,43.81460559756276,42.21993792900744,37.91158997475007,36.340879521657406,34.17124003094871,33.88137989472426,33.23211448716163,34.094670004208545,38.488223299247196,38.56843321913572,38.879184352781245,38.24866058002275,41.68379194943759,43.108229279196266,48.747450237600006,47.32759856393078,46.82112109093137,50.85812419641856,52.07718750193009,54.56500289828561,55.04579814231799,58.87664742443895,56.67813196340112,53.5938736289698,58.29060453690767,58.90446244838447,57.698017757629984,58.88712165990581,53.480927634035986,56.509623242405475,59.38983146668351,55.85666741218644,53.25992750952543,57.775109824197024,59.01341554905615,54.40692523598725,53.481747080497215,50.19284241302226,52.721432289284394,51.94298333770816,47.85435301290181,44.75880338767079,40.66960471225066,38.48139495068633,34.39459345167524,34.4981055216266,35.43966617723789,36.34073231104746,41.13546607058375,39.27990589443189,44.296773936436225,45.22486975194944,46.292992339054784,46.9066389198908,49.34574346770381,47.460120788825854,49.11016881077514,45.592455532168685,48.331125618865954,46.56940941975791,43.59365021858775,45.07660504636746,43.3566817271348,43.16930609697101,43.0926002822217,40.52846415412743,41.5934035493016,37.493317405985934,34.61801548557023,30.994502801458644,28.969535555843496,26.07356056982276,28.548166419016095,26.443527639842106,25.602284241520522,31.098598503597177,31.326966090499972,35.43444245503509,35.07106772855589,40.63046823254549,37.07291260619885,39.55691466960251,41.102168765280055,37.57917612799396,34.94313484968725,31.65232892501854,32.57926471403561,28.44100019525301,31.2396806499209,29.82546285142244,32.420497988405,34.101775645483066,36.851514008892636,38.53721969830602,34.55140502512504,32.72146569768908,29.790443292281097,31.055512367810188,29.062137738942386,26.77565974237085,31.250135342064507,29.47424631445888,33.50888582890095,35.851197088017486,39.16878810600545,41.29892407286211,44.44213910902607,46.2875519091176,44.69789591014978,43.3350036731081,39.358356547843044,39.70565231545421,37.860781727845726,36.810408132286675,38.168399325745995,40.94263367048098,44.53050845030091,41.84323188183867,39.52904587768142,41.41830121449835,37.725103483575566,35.84274755594586,33.00856309275862,32.27618809864795,27.907688884728007,27.983953479236053,23.605106429816594,25.815355048515908,20.617968597669183,21.928760422424478,25.946805365344616,26.841210600124437,29.52047950490531,31.298727651069385,34.16316982316384,37.02974316841172,38.571323641127066,40.29982797256134,43.43441893935175,46.15658811927633,45.686804774365314,48.06675928580829,50.95963760782257,48.76106083760051,45.229993670613936,44.43209544449942,41.590313426279515,43.290444926724234,42.6619897908889,41.662907112580086,40.50979024115839,37.69033590967436,41.71457326848171,44.04678112541398,44.85950767195325,46.326331907346656,41.997717934966595,47.66881533944635,50.98407657944801,48.86016147341128,51.014138821911324,49.283387715905626,54.55392121140258,54.039663144023145,55.58936450719143,56.557519179227185,52.96500458233759,53.02563504341505,50.73944441779096,50.61199309734308,50.86974485603785,46.342441340829346,46.33685428224163,43.61471845434035,40.47785259111846,42.07033326660966,38.49753815740955,36.224995169000394,38.343263307403866,38.39022633453655,33.65090878973906,34.17527363166422,36.38422246030516,34.313251249174776,30.14258508130895,32.21453480360443,32.82254755056608,28.329688374783622,28.02133228429036,31.96807573861127,34.17231386957195,36.257923647435575,40.818018360883414,39.91379163142831,40.956098121286146,46.069765533129114,47.22446075912665,50.699352135054966,50.4429698503963,49.380234036224664,51.147687663332086,48.58313874612533,53.49298164995986,53.26077345686095,48.01467606274178,50.34230372429644,54.97079599197623,51.97232710512195,49.82683876919576,53.238505849153015,54.914395957412836,51.17534246404527,50.437847534586474,46.00935692360361,46.02433451927752,47.731754095828556,45.07839039193109,45.224472431883754,45.72429133471147,42.65443817921046,41.22442800876121,41.14730492771908,39.16022048048436,36.04281512821827,36.282457407081296,35.114814749905946,31.94764839998102,31.634698097635965,35.331750699206225,33.03599132384333,28.936220642054277,32.963375523188645,36.238362950713054,37.63775302244377,40.52278659221355,40.58428080736196,44.98494523394149,43.586801043082865,39.768235372641826,43.98134810314596,46.080853030727745,43.46766565502188,43.62424478130935,49.258590385266125,48.703002569766355,44.79550710903791,47.71553544573749,52.01639196359115,50.64477466864535,47.552382686978554,43.26544984429444,47.676784176177286,44.06362569829734,42.52201340055872,38.11339053474776,36.55695730402518,31.83478291140711,34.17758649054791,36.55448572837007,40.42410563062677,40.88958418033634,40.10729738172051,36.19738734098446,38.063138690148,33.89962093946403,31.03360676452391,32.00420668618751,31.954042449036336,29.81203885011497,27.34267276703874,27.491805805060462,24.83596637091833,22.613966966222137,23.107145151302888,24.16363006289288,21.712295619651634,21.420095181541914,21.874158851463203,22.528140565867556],[23.6717074317449,26.233566661649082,29.40183426663164,29.031355824729978,32.47730598033841,25.97035850191138,27.189302123826156,25.880509257160455,23.437056990929502,26.765787535556576,25.54471232312518,25.039890017312675,30.09886976768811,28.918660729265042,30.467634071114357,32.72890881201761,35.09583232580978,38.5159318292321,42.647085817792366,44.97123413348066,48.6228380079821,52.518857421353786,54.011703228004905,54.613631209019495,51.56526688239195,47.540394120681825,45.80165721111269,41.464968363004,39.628735506468885,37.147767506078594,36.76428942449236,35.75027314237881,36.285840042637446,40.77954482210859,41.08090979470094,41.769098929043174,40.90963978577402,44.76106935349751,46.31900879372208,51.75580722289768,50.70345039191335,50.19494730699056,54.11112237795048,55.48073399935548,58.13119234975072,58.70408787794509,62.47916354165271,60.100931914078835,57.05168828569871,61.68711526838797,62.117427833539274,60.76520575003903,61.873004864807356,56.493475145080545,59.25996216560036,62.32773853484589,58.967820647313125,56.14800279762996,60.59859200417459,62.127155811200744,57.547932251884674,56.46024750662408,53.0632297010929,55.827490838449776,55.182712172919935,51.008725594741996,48.14828972082731,43.93762972644785,42.03072477985623,37.828262607412746,38.15090647553084,39.060932137878254,39.67986772829496,44.48031099736457,42.36209473832125,47.11548586888292,48.10988375304169,48.83965154953975,49.53134523236653,52.05820909322781,49.985869971623345,51.77683192023076,47.99395156173631,50.880115852043446,49.407621854198574,46.34843752047059,47.97499466924951,45.89348791756523,46.02704766182739,45.52414756426297,43.1919942520066,44.13366054039996,40.024249320406554,36.98024869857713,33.632742051376766,31.48182852327478,28.93235274051596,30.87075441040376,28.73546947805858,27.167229073256376,33.109299547968476,33.04152809216996,37.55401502846201,37.04469644471559,42.71204544271992,39.27888237220469,41.4389165933523,43.218008583181394,39.7680933686521,37.03398474314334,34.05807730832673,35.34858508185695,31.439542356098453,34.56097692909216,33.36441217773369,36.170555633107554,37.8391700355432,40.77085623829477,42.423664008660886,38.278751227215906,36.640364715676505,33.680738200356764,35.08148599952034,32.939562792456506,30.451319113098638,34.746013813111674,32.4919343781981,36.50881330525447,38.56591420332743,41.73750007640906,43.956486824657624,46.83957193854045,48.97791947587042,47.20708787057373,46.24615939588594,42.43781815969523,42.85221702170751,41.30203728199179,40.503796848567305,41.82743467184914,44.86513505319457,48.3988250965419,45.62473735796089,43.205463734433714,44.92160482391224,41.08246053903502,39.28234147980561,36.19153787675235,35.20137756476792,30.78339981611027,30.349061751834043,25.828370372547436,27.262599309318254,21.646458645591903,23.384934113968047,27.64734654047284,29.12452859652456,31.655322525582548,33.832432693551816,36.670807935895446,39.98871490729697,41.60989460595092,43.67586009185201,46.604959100166504,49.44329769438154,49.210727198024436,51.3756769014816,54.407529730075076,52.12206235454381,48.7075626735811,47.727296647869544,44.956371499348805,46.423664553099165,45.59117955008121,44.439059057030114,42.96138276911591,40.24866063862092,43.895412684365205,46.5942850313023,47.23705838329057,49.07039452094406,44.54827699099512,50.260049668647554,53.67554312129504,51.75359491672831,54.02198215583557,52.42551978352866,57.71728625075238,57.50023305817817,58.853996880152295,59.8101124528115,56.09975149383843,56.066025624431546,53.680324968757944,53.379402544713635,53.51070630736442,49.045955278946444,48.73321402582916,45.92524876795424,42.630688628778195,43.860732871004316,40.12226597248427,38.2198943326047,40.28836107229114,39.87035048065205,35.261382130328265,36.28619470750051,38.0032241026428,35.38468609812331,31.75123050734261,33.818598748658346,33.92182979012835,29.430904965754163,29.641334618658153,33.27836451341313,35.793305307603084,37.20271703787456,42.42237544399292,41.357284443429286,41.97168281036761,47.04741535228583,47.76403956919812,51.47315894590626,51.06633988873799,50.245007223491065,51.9637408284073,49.57040514960833,54.55579956757921,54.36559756238652,49.42260118151199,51.778085805659046,56.46824595820144,53.650717602811156,51.66215396227481,55.12650870530373,56.90583212589403,53.27795735069017,52.75284534761771,48.116506847394724,47.98424940144258,49.39692152599103,46.41231143464266,46.36310277628308,46.403270223218954,43.53053369107193,42.45630033787889,41.86575373453681,39.65920273924419,37.00603255814953,37.23888550267992,35.52400930301875,32.35268211518162,32.44648688716242,35.68796449147183,33.018959812720496,29.238893342045756,33.374505255594286,36.333161533075305,38.126334841132625,40.95843183423302,41.311851005630885,45.68018566679935,44.22407583861048,40.8735282804511,45.131054329207934,47.188265793405314,44.72426176608968,45.24511693275138,50.67536097191755,50.179291936329804,46.61144851590121,49.63948916535932,53.74711162891188,52.46302826161922,49.59244001088507,45.46154916336802,49.875001663923705,46.4370293853151,44.488708102512284,40.38795228494144,38.65834550864188,34.088509031298905,36.76666207280604,39.166501949123976,43.043264243054985,43.527696378007924,42.422336994665834,38.77457719231154,40.50840756545684,36.62772430713288,33.38839831479702,33.901264839071885,33.41390506717973,31.234272060318233,29.403813317740195,29.22869331146223,26.15141926324563,24.738054072927536,25.282210123432446,25.554518352859418,22.584104152849758,22.021712382523052,22.331852190160053,22.787413173344937],[24.642187873860205,27.585043470048856,31.317515711545628,30.935460048907082,34.99866582974581,28.832141921217982,30.470914234456224,29.61324784441751,27.23797747281601,30.593112947429375,29.60906270458637,29.414026008727486,34.258607795400984,32.812961848844644,34.6733651617721,37.040671019354704,39.14549399267317,42.61585046546523,46.53529043636731,49.04329026124364,52.610412873849185,56.5995903405494,57.94469606375434,58.39685512143464,55.40249217307368,51.31394496329813,49.68742875657161,45.37045069406064,43.773719243181326,41.46665576425756,41.14861662040601,40.28965343152708,40.917247332285164,45.376566799039246,45.63358872497939,46.169724753796174,45.371237159883535,49.021102502108015,50.444307948257446,55.96519812750343,54.67892861596465,54.26991960893864,58.27687848744204,59.4946435302813,62.016864882246665,62.43371845071829,66.27371393717534,64.07733407567781,60.90224754467787,65.52460670093025,66.15994078827399,64.87350958391663,66.1020285164452,60.70943293233692,63.64759715513231,66.66337669595758,63.21588872887097,60.538876397134004,65.03033588097782,66.40519440433714,61.81776894844052,60.81107161668055,57.45207282318103,60.06371915112259,59.373644482139504,55.26442645118814,52.204734270227384,48.089580380899136,45.92218025597676,41.79776376420161,41.89058348630514,42.65546074312463,43.58592874280368,48.42995940914448,46.5621976464744,51.39718522337096,52.47550461981535,53.330500777261534,54.0409003741541,56.54396876704286,54.52337181372087,56.21212977395413,52.46992905224973,55.22304754708016,53.62843895030719,50.69578970219931,52.34018336093711,50.41858831242412,50.44682365255248,50.092807807641734,47.64898467982036,48.53592574121575,44.43812471007546,41.48803608236589,38.093515580298565,35.90182234821178,33.27641014382317,35.46564195360247,33.326814215883466,31.830515928247884,37.72209867092565,37.502289256133594,42.02686734915785,41.28765201058767,46.83485940206989,43.16173343572615,45.1541464920699,46.720755560243376,43.06381521500337,40.61525250172734,37.44294551203265,38.98382974831006,35.09106282740258,38.12356807609796,37.06821255450699,39.645865954798516,41.49846920206442,44.18233052896958,46.003669805278584,42.057072637449586,40.17678956162138,37.22320686101498,38.27352744467507,36.196281579124765,33.725800868489365,37.94972443435737,35.5529496037308,39.791440207176294,41.83075243726264,45.27428430185649,47.10477653413033,50.10479996892004,52.31646424289038,50.835169757650014,49.6472790457218,45.849628766899166,45.81985899036402,44.413328012002495,43.5565863986897,45.15765084460834,48.00401465639223,51.751417092901754,49.19444345866922,46.80590799155605,48.73353441224323,45.05784174384799,43.10600723672017,40.17837761299762,39.18006615576551,34.75979846316375,34.31181292179893,29.983468547961603,31.502608769023205,25.935369819102107,27.932229207207165,32.142181276952236,33.53748539438449,35.92158768211712,38.15717495572131,40.73708020528076,43.88186173542669,45.69746976438888,47.43368346131978,50.57492978593056,53.14977287061897,52.60456428453264,54.7618604528838,57.606878576720035,55.16127004171357,51.76867064181869,50.94370795863416,48.328395847170604,50.11017136101798,49.48706131269591,48.535863877766296,47.18633595698011,44.58521303641449,48.32545796937583,50.887238209975436,51.4781866104599,53.09648992178987,48.47175886988198,54.09042861461175,57.45108973095653,55.49392844813632,57.94460418342119,56.41757936009262,61.63925026299106,61.186395084254784,62.5496076772204,63.353263866329314,59.710840817419204,59.4869642688706,57.003869830641804,56.6272259280449,56.54791825725295,51.975514068603104,51.62286991772676,48.552292127425524,45.50060708104469,46.4383627229294,42.8911183495063,40.99606699432961,42.58856489974705,42.118563503290474,37.61879995034211,38.26914791191007,39.77621692210438,37.283228609194154,33.52630695166414,35.190871575905575,35.10845067798305,30.799436476323276,30.737828021959782,33.914548959684495,36.63324978607812,37.85165130560598,43.22127876170894,42.5230935576107,42.992614942956585,48.18703239883015,48.661617843332905,52.67434882992342,52.584219488066225,52.07270658162892,54.05389856974801,51.99778285322053,56.9610260167675,56.4462958915433,51.652540372878924,54.29880816629986,58.79352890236579,55.797041421761854,54.06726038217129,57.71795632389277,59.11240691566493,55.3956442173945,55.33414697367896,50.53805884018316,50.88745372598858,52.22762707019884,49.08633024610243,49.30299778179653,49.21075504587632,46.66348301217143,45.40386011336155,44.46477684476865,42.52428101446194,39.99656859993604,39.76642925717965,37.936153423734,34.846270665324106,34.672209541419434,37.59570020421713,34.84648130813082,30.98121837266546,34.781265981436185,37.63048918024281,39.539513631805846,42.652402306419596,43.40502297651955,47.653982434404554,45.75313575037107,42.6155248619848,47.13142134303201,48.8089269565596,46.213896488469544,47.1214515851253,52.440264242219385,51.526697788151324,48.114642508059376,51.4869744005062,55.33072119463864,53.725986046001154,50.93041924560735,46.75970712016038,50.86990938872334,47.30754142240995,45.17983311108604,41.3006750210724,39.95150040629042,35.50003663065432,37.92095259677299,40.610868265568186,44.417144644245184,45.26862611888837,44.35577517978072,41.09958171837577,43.18934531940724,39.47558627611425,36.06021149701216,36.99100538616266,36.32142449300401,34.55364139498668,32.54627152835698,31.832855974840037,28.952401607864253,27.904469832108934,27.651586420486044,27.66598844554337,24.7819892406568,24.232604272948656,24.497805100617132,24.79611495901608],[25.5479936629377,28.54838775146761,32.11643045128469,32.36462983499253,36.11266821663167,29.79525718553743,31.47721812551492,30.15260959658508,28.199865359505527,31.823067449238216,30.76349651872717,30.025171730217604,35.168234593396626,34.222242508326055,35.772627156817094,37.90412180673356,40.33818546732892,43.83548676232596,48.046783886568896,50.26619652982567,53.98288520687934,57.81067676234588,59.37359756313398,59.964695671567654,56.85634313811186,52.87710944504406,51.02586136717403,46.676214242117894,44.813150365761956,42.185363444092985,41.953918055995096,40.64430886761447,41.08138136579403,45.64939191705384,45.99681318468153,46.862759702061595,45.76999208832629,49.8041482718047,51.33052059653426,56.60954701564285,55.72889755722003,55.37064069069458,59.24035217225878,60.594801738804286,63.3187981195257,63.8263488934778,67.59569516461049,65.18573007444485,62.030880790614106,66.56954733479199,66.99810944060557,65.55029700592164,66.70758429581112,61.35231866595674,64.03834607008487,67.26280654270225,64.01041947679184,61.13716994660304,65.57637576503326,67.24526988193897,62.735556494656954,61.64439633240443,58.2253451867152,61.11588150777996,60.482076114883945,56.25447870917539,53.53372726591196,49.28413871488591,47.47943524962601,43.26475381890426,43.63332117747745,44.53613849841128,45.10785860641646,49.90131304963497,47.68442328201968,52.327889218793096,53.3030120915888,53.86767787987211,54.54037999458633,57.05094783706895,54.79165211259649,56.548332051677846,52.543742308928486,55.395567102252926,54.08836156188389,51.108471147335635,52.942618848194634,50.7007455337646,51.11143874241779,50.4432602389631,48.28933371600682,49.21046532966783,45.10726720659053,41.96879928910572,38.75162975952711,36.5940667615903,34.18696492400878,35.7758487351684,33.53503815357844,31.421673354562135,37.58990638230636,37.05002274187748,41.886469267476315,40.99712373693658,46.5982998850111,43.08352431261906,44.80641601638042,46.60761997351518,43.090045033353796,40.50949758770862,37.68425186539162,39.48197006090357,35.824683186598904,39.16675297121153,38.33240089577064,41.167880590228606,43.0102608584341,45.938450610475336,47.78926370220208,43.63947975911397,41.99443841271135,38.963588665169574,40.18918179068547,37.903597926765435,35.20599944336404,39.24711149883231,36.44688026611233,40.57835729519752,42.345524730669744,45.5691949067685,47.5684122642664,50.281867977438885,52.73653616238721,51.02829536996201,50.273285383407625,46.65160893497597,46.80680598934498,45.656984478355604,45.085412743560354,46.58199571150222,49.77940367064512,53.4290403457786,50.75219453805277,48.22031518914989,49.932313886996255,46.1038599152481,44.23874369417538,41.03728497721736,39.779276710884496,35.34156756109705,34.44222758685239,30.034955181775523,30.902200568418735,25.14597001352699,27.44941026245518,31.757651549477515,33.61351999258118,35.82262461349552,38.40384608101962,40.928826907892464,44.49581612397775,46.38510632047724,48.481924047392376,51.383820188906554,54.09142690859538,53.852665747056264,55.775395843844464,58.80620961429233,56.31527436210164,53.04565372503492,51.99154263083851,49.419525205751604,50.89923265871527,50.04796226721902,48.93971056677966,47.28441518892994,44.815091710084516,48.18858472920552,51.06693424139965,51.485710802284245,53.452191436176165,48.668600452259874,54.31247169080956,57.76530199635674,56.01700920924842,58.55909407296004,57.181018927267054,62.414013214412456,62.31307045055456,63.44963228783201,64.26030383813409,60.48817289483136,60.20621373994114,57.65343144769368,57.128407497407736,56.98651007562052,52.5243136975969,51.8986961005439,48.85026828628003,45.59681892575279,46.29796470629814,42.57389179282586,41.017370415621805,42.71191192298641,41.85220194065509,37.477023933651296,38.700617682550096,39.83248885868365,36.83787585575822,33.65132380634326,35.451141970220434,34.994609114654516,30.685935079259263,31.201448668267503,34.250541331567,37.123953173381395,37.79209830976881,43.64322017283108,42.64105543075579,42.77767038448312,47.84236849179133,48.01981151781863,52.088809692582984,51.741614403286825,51.3326106107752,53.166338315091174,51.162034173189724,56.16821778943832,55.801420511622226,51.253493447085965,53.81137865002993,58.40188668855084,55.64661330694963,53.976937357142916,57.59509041417532,59.210611389375465,55.646753288286256,55.61666634438317,50.70913966374775,50.76731337955296,51.85907019747844,48.495236954036955,48.465528932606205,48.020834193896945,45.576018607061364,44.67443123620548,43.40590330768359,41.22893620410858,39.08251509279001,38.98044355174756,36.745356702768945,33.6737983871021,33.92748124238994,36.523453318899044,33.522828440138746,30.03062055311294,33.975843246043034,36.54748193183014,38.734035929928716,41.66278060219366,42.52284852765188,46.746417964850075,44.97096825370915,42.19685109769863,46.6168896205978,48.38466548819498,45.99510910796702,47.07350286064098,52.2139183168271,51.52748177714131,48.386104096270564,51.69759663533147,55.44592568637291,54.06534238359258,51.46275733075245,47.48377138022988,51.70760460919304,48.39628022983806,45.9769241871738,42.3185273226091,40.64456004191625,36.32913997661197,39.1558366235097,41.71009989242447,45.52566026122471,46.22887154192045,44.93981208015129,41.79846172249624,43.62689457882547,40.141952203987955,36.48028027753913,36.87394813508126,35.89268900883571,34.00955865677285,32.60879920697733,31.797562366013537,28.55868151849281,28.08876327378299,28.141589860939366,27.58835023747729,24.31453103270155,23.55598995841638,23.72747783540598,23.944652546958533],[23.365033094809856,26.488725731765044,30.088360059939784,30.95045009465015,34.668580540103505,28.521882549497686,30.567360557993606,29.220706218935685,27.858529795273125,31.858612838130217,31.150326148296497,30.20599239298423,35.27749918608207,34.72660168252078,36.488527805264404,38.36496005641557,40.71102793495329,44.45207341272859,48.79137727546352,50.7649254049912,54.63077187730882,58.30091032213154,59.98949606864101,60.49000407744566,57.224990834525535,53.36910030693686,51.258004945039744,46.90082978921859,45.09236427712034,42.32785840249144,42.69801023704376,40.904436225372905,41.59046720139259,46.2953613551806,46.367607627639885,47.25701541644658,45.78001006386849,49.87218138384436,51.23945231224034,56.305076116519174,55.58639551141427,55.55442205261572,59.37581977602492,60.61153967381867,63.44323012150656,63.806520496586934,67.56086245692157,65.12517403499507,61.76864440979179,66.1454848683548,66.62641255089979,65.06814008417916,66.36572769295329,61.04299439338103,63.77363592696529,67.18134248894982,64.03540144499102,61.24276192488942,65.73665642879828,67.47078634912171,63.14518376151172,62.27571988272294,58.960205803069094,62.01203151881922,61.18287164642672,56.847752945766956,54.43177252959161,50.147008353349484,48.542504048847526,44.401983250029076,44.87349091281151,46.09041739010674,46.54373543824501,51.22403446157864,48.79572942844279,53.54159732293335,54.13939654146669,54.71312246089926,55.10103782740135,57.400562151700264,54.844799626839816,56.34959744500693,52.127862463955246,54.77726034421251,53.56728761722043,50.80461546696469,52.97866928526674,50.731106093313294,51.529778658717966,51.022844858127684,49.12352946025123,50.376724452000325,46.262094578782154,42.98180563435366,39.63279243616094,37.782372452171,35.21897901883077,36.342300112357734,33.779514013288605,31.25587401503588,37.42237900734144,36.246852573793184,41.299845737041714,39.88716776283534,45.31555458517894,41.64322674261538,42.99583469291029,44.73932251834256,41.16979772270715,38.76207362528441,36.05208065987599,38.29597548454337,34.9316939516767,38.49960420068778,38.16228397982389,41.058599125053604,43.16693009247523,46.13236364422921,48.39845873940323,44.23548701080108,42.613961672992616,39.41330987694156,40.398749971990675,37.84069394147779,34.83891126633189,38.51683665876335,35.162853510035134,39.328812909145675,40.80470077797857,44.05403562557656,45.85142205149237,48.406306677647045,51.10907233494183,49.4839092548492,48.90400431727317,45.49239990354899,45.453855647984184,44.72190771128788,44.46564610091051,46.100536004046596,49.59734835335554,53.3416232486047,50.79652375735116,48.072308858845666,49.759279650360185,45.99169640274393,44.0090393582505,40.69423231601435,39.10786125806518,34.68758376069525,33.34106540867205,29.176795604640546,29.712990491280298,24.07860851940946,26.953752324883336,31.126367779662843,33.16583280326888,34.936646159073746,37.91645173991196,39.953769538120426,43.688994015251474,45.947976805223576,48.00646538374074,50.88831462198706,53.381983464499925,53.16259505029313,54.77599753415678,57.829158352829744,55.149093921300974,52.06087592721216,50.884355861552145,48.52877774561041,49.99474540195045,49.155798077509644,48.1685137958375,46.4176267819836,44.29263960614427,47.478462702014184,50.37847141457474,50.5427151276846,52.50774634259764,47.46320263478281,52.991511777283336,56.45031170742467,54.86840407740313,57.72750625035622,56.639174733073034,61.76310517531251,61.791877536209675,62.63953627582456,63.27412189329521,59.445209958587036,58.90291481629609,56.200758730621445,55.475581361525094,55.11601186327347,50.69064666048954,49.815094224706534,46.63241821383505,43.4015061428613,43.75730733197612,40.05996069051771,38.74016445605456,40.222762677700445,39.08701956923773,34.87894313473253,36.31935890466766,37.07686973293386,33.84732342923056,31.002005881539656,32.72832737732053,31.96408419620531,27.757787394244744,28.589302302602945,31.3894342558547,34.399677280812114,34.640249535642276,40.81074489271167,39.69880686816658,39.58754787047156,44.588429129864224,44.56148762351781,48.71458533778826,48.34405140602771,48.08952542703492,49.95968281104012,48.14242607447942,53.140138408226115,52.69124112848995,48.3530839683206,50.99965042614216,55.526919831055075,52.836313167840096,51.33781613069333,55.024185881925675,56.577935210886274,53.092104685050835,53.32938490709127,48.27037795873186,48.414839063216164,49.30160630062807,45.73705132129436,45.753862832460136,45.09237003186925,42.914191102561496,42.03778903329055,40.42377774523199,38.34305644888782,36.43166547256467,36.10235712374582,33.65831169044658,30.663790426374515,30.95453070086213,33.24377086464462,30.14490136311886,26.7903592389675,30.64310061728297,33.04894168272567,35.37155774723309,38.30246543429798,39.36292561742518,43.50524425891863,41.62619948880191,39.12177084742482,43.57124748024305,45.232381793781116,42.924267480122445,44.2463985224662,49.21098304962405,48.521868840121435,45.62599578805483,49.01164996906876,52.579006312928456,51.251543737152815,48.82525459282172,45.004096905764314,49.20709317703544,46.08989106179875,43.392454077652474,40.001479648280956,38.18210105898498,34.06419747682651,37.140489748105814,39.64851315997294,43.41855698974842,44.128753332863525,42.611225179968955,39.785443322709376,41.586987443501926,38.43909982158924,34.48421506705855,34.75115314017639,33.45852109736572,31.835088786966892,30.705145147703277,29.47265877999962,26.17290541736193,26.371298170556052,26.14647950873731,25.039877566650322,21.642678691262066,20.836918329436813,21.0427746005244,21.231041270989543],[20.504265000143533,23.58207584883807,27.345450865554,27.651117564800302,31.673829568531662,25.62783322716129,27.71643011855709,26.848875496696863,25.17578518566025,29.05375808353361,28.548095654875702,28.110805402947758,32.86147798499647,31.92711058058926,34.10764551309774,36.146210516424496,38.11498256233964,41.93351531794624,46.03253210435537,48.21601306782397,51.990463989959835,55.77819483783131,57.29014759703019,57.617240211602756,54.407115937695316,50.47469271492107,48.49642792884088,44.157505225905304,42.64137275808162,40.16740269165072,40.67334146240037,39.19105856380535,40.19726205415651,44.84675371704907,44.705773418748215,45.23341349376843,43.944139909787324,47.64033532743191,48.84802798538853,54.12458207619513,53.017033386283956,53.034986247691975,56.994888518738755,58.0503428098808,60.712030614597516,60.94107251412409,64.76963752911531,62.54115269293417,59.09942787669728,63.52843796238911,64.24062979382059,62.82184750156626,64.23774304197194,58.87375112013656,61.902642818148394,65.14100953851737,61.80973315105111,59.254162167428724,63.83291946670713,65.26764957703156,60.914918654608655,60.22016575141786,57.006756250332856,59.82280602392935,58.85246976234862,54.59696226733295,51.934332824949074,47.76940426823247,45.86659062616973,41.8418127761996,42.079408940943786,43.3074114512669,44.06810554094968,48.755693232566564,46.59867250422992,51.60916773849882,52.15857002543995,53.06371209878896,53.37938937133168,55.59469114416339,53.1988465038519,54.54492878255074,50.546182030960374,53.029920518127774,51.520147111607606,48.86606756296296,50.94384830407423,49.05106946076213,49.55875519092818,49.4697000931985,47.33924307120096,48.702545369827796,44.57884203524099,41.4392580381309,37.8185812765313,36.06011860189278,33.17356443849439,34.7795713678843,32.19481914859834,30.245677492723253,36.11147416352039,35.11971790699967,39.88196163584818,38.501430006957065,43.84801928451249,39.94522134634221,41.55499569683295,43.03057959120482,39.28563582396148,37.032950279388366,33.93471876127388,35.98554225826071,32.40749501829068,35.72842324609405,35.29770090843904,37.969495080801316,40.179609504399096,42.92888840301985,45.31455086367,41.335439360862566,39.485488622449346,36.28511953340877,37.02743775799749,34.56947785422004,31.682122368660867,35.47715969500845,32.40197393237996,36.70960266265005,38.43410095152695,41.9376317341851,43.540111890512996,46.392271020549934,48.872272486432756,47.49517304069722,46.477718331181464,42.903917665411875,42.653666385809665,41.728976276727714,41.2603866515496,43.0319755605975,46.281748485233116,50.15373120549064,47.75468964230192,45.10701551096664,47.010095175685436,43.406660917982855,41.2903911494093,38.21590286092363,36.81079223912583,32.386708696566046,31.427154598375207,27.38166095912541,28.629691060989746,23.218563849495638,25.893534372417548,29.936051389690203,31.49255087644681,33.35449817449261,36.06080657881008,38.03914028541566,41.36403120687962,43.64988687309355,45.32306701719497,48.46045880075681,50.76942109931284,50.244935167187826,52.036355532336835,54.9213325235725,52.24926829766398,49.05871787764371,48.07960565052921,45.70883329540081,47.48596324790756,46.88947002965021,46.10023581421841,44.66408690794844,42.47492102433413,46.04360950651805,48.590867554333265,48.88727952167815,50.464680209566815,45.5232224785098,51.01948122398332,54.388410162937554,52.60779279715076,55.44356398105027,54.26452667744808,59.36137395617016,59.056404722211646,60.07346069095713,60.66732074522169,56.95030214502324,56.42363958918998,53.76453417327853,53.16647395890906,52.85366214296182,48.303799392298,47.69308961870807,44.47763502020989,41.4395983652965,42.054678767220715,38.530214493757164,36.83412980014997,38.232193881522555,37.52253502558382,33.14170984637844,34.001912970898054,35.186489101070585,32.4933490928643,28.98516509328142,30.62985845003302,30.31006027908728,26.030337446594096,26.266584558624803,29.324870616348008,32.154080875540835,33.05280122070186,38.69842719134516,37.84464841446418,38.13698285570976,43.29069873282947,43.66383850236299,47.70270688552264,47.58312111237093,47.15792087583677,49.175554033105875,47.258716149883874,52.21759640518056,51.62740487477962,46.97994935036227,49.71113387580296,54.156345456427076,51.20688722276931,49.61708637810051,53.340175017678305,54.68750983885592,51.03582174630658,51.21496516095841,46.25982599775648,46.6998308808924,47.86113299484049,44.54401712327277,44.83959403869253,44.608663653389435,42.29150418754911,40.98445684417088,39.77556012730041,37.972204326712095,35.5788300709357,35.11009736765771,33.16701429578814,30.13113136453349,29.908497443982107,32.6547493597286,29.879272856348564,26.03119044793744,29.778490859370667,32.57062119897906,34.533499174938896,37.660987989448394,38.540312938877456,42.741795083666815,40.76827301598538,37.78751597109826,42.337236906578894,43.94997023194626,41.41488228971872,42.500137215940704,47.69745318859203,46.813046432088974,43.58681171166686,47.00923037390515,50.7256101628759,49.20078884308185,46.55000287668826,42.51986783447062,46.67791512125564,43.31940804474636,40.926526017084015,37.25163263913794,35.68551499605243,31.37914718176852,34.127261476646495,36.74805193451564,40.54178605525391,41.35952947614751,40.18282514331378,37.205847353401495,39.267672491769254,35.88508242098336,32.139193485311424,32.976669898716366,32.019995988463634,30.531433424062183,28.716699059846636,27.56431758344859,24.639039670453034,24.220219244700374,23.644558146370084,23.14638359298807,20.17178393327158,19.639345629182127,20.017290201134767,20.37265343340382],[18.923311210819538,21.550054293461145,24.75792960570977,24.922356938377646,28.413439637860286,22.03352691736271,23.763277412929423,22.60381129155941,20.839930129682017,24.733220612367514,24.145339363858884,23.565320827515208,28.383745290094094,27.628862901797795,29.705793234130148,31.6557322277723,33.71683005766999,37.546041134129375,41.76550142930398,43.820970762786494,47.65488944190449,51.37686545166023,52.97580145205431,53.376109504121,50.11942207259808,46.23527806176595,44.17222234376191,39.82056348992504,38.18976441906739,35.638140127953434,36.22037414133928,34.63610788676345,35.709723461509384,40.378359170570135,40.16405773884279,40.70744382265336,39.377848909042264,43.1307262802574,44.391560547589,49.64174408196894,48.63701224408218,48.61105120002049,52.52821816186309,53.653175445684134,56.38809012652915,56.7053238435765,60.49791207175293,58.16568166207349,54.792656891587235,59.24384121210251,59.84479072955161,58.40302395429772,59.75573054122682,54.39132238719391,57.36352732125716,60.60923647625643,57.30703069198905,54.70773492934895,59.27868611575451,60.75985141675387,56.42544015528917,55.737626544969295,52.539185718388715,55.42683570002781,54.43260988458381,50.138559168602356,47.61108432978537,43.40345138222316,41.66330648067899,37.6305678166309,38.00779579971434,39.405290718053344,39.97489181380264,44.59333640280353,42.2861164215912,47.30935836064773,47.72204648850812,48.626329317128715,48.86726837531167,51.04929437670377,48.63010613845861,49.989687877551916,46.004732377208846,48.537879316349,47.04819293097416,44.333621629424954,46.40017192463441,44.481128334214795,45.031364305159926,44.97100110435407,42.898589630105555,44.38702603386179,40.26513026915563,37.08477401521881,33.40494182974502,31.780598935526022,28.832807767063347,30.29287740725253,27.649025629210097,25.772979671005057,31.56841100000393,30.68519485475915,35.37059797318589,34.148936390759204,39.58167874061006,35.799759770277774,37.63371515420313,39.22740262205574,35.611084112527465,33.13163504435532,30.090077632554156,31.880343522601947,28.229253203506453,31.59187224078553,31.05349245613406,33.87780037963937,35.980784823649145,38.894592976787855,41.20685018799326,37.10948435145527,35.410687004217124,32.18620327515622,33.14571943905907,30.62667093992092,27.717477118028196,31.592109292483904,28.68620134516438,32.84351010321412,34.652212235760125,37.98737690196515,39.89715715192996,42.730280988326136,45.08674616856247,43.512788617518986,42.580550865578964,38.94942705696844,39.048604419685006,37.94804496545985,37.49019384308216,39.05454486365319,42.433969028859536,46.156124302210465,43.61211416082097,40.94107511754796,42.71660856991849,39.01886795295767,36.984094433663586,33.81868552583938,32.43934233012299,28.00243943221931,27.12689493432875,22.949306008312018,24.338696908840422,18.95649878205412,21.437184041537297,25.461060167723936,26.949677303186803,28.92041770131237,31.539492528914735,33.68414877194615,37.06311854542193,39.21761590390575,41.0708560218746,44.095682186859705,46.575658918258114,46.25057469981788,48.08753955966822,51.101907279526685,48.57134576280273,45.33302633368409,44.25842557509182,41.744189005839175,43.32486689219991,42.60924223155775,41.70580043416228,40.243051394229106,37.961828884781916,41.55858217400921,44.11884897500709,44.48502560097233,46.13812891495658,41.29518608741629,46.87285712449512,50.27118962684424,48.4676102466167,51.150276643082044,49.89844549646672,55.04920293452889,54.865172813150124,55.90978257365017,56.62542390451083,52.87026805651857,52.513702993569446,49.9488629826541,49.45238513372372,49.346940154768596,44.85605659289845,44.35666520464474,41.378244994787956,38.15366617360746,39.132886723349294,35.4646660766841,33.64305516898616,35.49251959268616,34.963680308922164,30.410443406650028,31.479153993401845,33.01067725951798,30.352934814921475,26.765915555982637,28.811028291381582,28.827914049897313,24.341210080085645,24.68314391013275,28.30333468986773,30.847336533491823,32.14845998071362,37.45422648911287,36.30456819813868,36.87073708744852,41.93967216398444,42.68128554021397,46.37119276495482,46.01046885659789,45.222460473608905,47.02525849590397,44.7434419011015,49.71817481485073,49.401971477189726,44.50831498516996,46.98341737131938,51.59900518654179,48.744020708176535,46.87124900939843,50.42777993851618,52.088444770961146,48.47220476023696,48.18235763793861,43.40710783124196,43.467426297533464,44.783683659565135,41.68759628703905,41.812504883163996,41.84327644693433,39.16595160279634,37.89884364406605,37.15607663046856,35.176006033948596,32.498727300092945,32.44318129405571,30.772649252661637,27.63389131128515,27.521174257970088,30.745800567280153,28.15722774182359,24.244819297669395,28.31161546063544,31.33298993657645,33.05872904757843,35.953677458845185,36.36949084414615,40.711717172345566,39.15940089242384,35.81532563717004,40.13461844109968,42.114939379176114,39.64444599490434,40.26543102488301,45.64644990224809,45.12059774614974,41.63909482366842,44.72720940313865,48.75124612694501,47.48717545345867,44.69518129546805,40.64421123761904,45.08920495631192,41.78746106167469,39.67596620827851,35.696177943628165,33.81926776892941,29.337700971415018,32.249005271903414,34.602964931140285,38.47239845666356,38.95270577160992,37.6832543423714,34.26605107244281,36.05649464506847,32.43708972738128,28.9067761160112,29.504023985879893,28.822478092317702,26.971798727170825,25.107629430928547,24.5083112918826,21.48040787458253,20.507908014598836,20.637300469882383,20.59815084718277,17.662948327540875,17.208703739370183,17.72141633270436,18.32744491542638],[16.65842936557455,19.15486986348834,22.55699547372489,21.975392239796868,25.902160412427303,19.783889065146294,21.607131078684507,21.19511502987798,19.066592366954467,22.74508111637604,22.50137594959323,22.655394674943537,26.920846289074078,25.654728126417822,28.316434096904935,30.446714576160474,31.964540523951314,35.88450141106766,39.76266777457069,42.07248699636721,45.777544519846515,49.62745024931619,50.99923102562143,51.167286964154194,47.98071109240309,44.01677553455168,42.12087978082752,37.813502471543536,36.59160017406504,34.43777274638796,35.226742193843855,34.03345921395723,35.50201162149986,40.050373129782315,39.56622270274385,39.653231053403125,38.54689196929132,41.76794997755111,42.80065871151753,48.272326288593575,46.78847506350168,46.85623039651887,50.931327394437155,51.81130895216698,54.32719246367279,54.45520987224355,58.33443081686696,56.273434366789395,52.7803077864835,57.269061734370574,58.16755420488275,56.896068115309774,58.40535339846057,53.01444829703436,56.34463711292613,59.38685218970989,55.8777489983405,53.58852244131758,58.24579629154929,59.36189079659845,55.02152388857906,54.563106964557136,51.508993376585316,54.10039309169653,52.92780803128224,48.74634103232846,45.931217307970485,41.89894777555958,39.785512030952354,35.93542319372336,35.99725967279072,37.406698374335555,38.38112118716939,42.978397663617045,41.02963526634747,46.34913192408762,46.68955699343248,47.9905227159692,48.131719746135175,50.18656214709165,47.95779212711089,49.09601736747969,45.39160010588021,47.682868928492574,45.841177471027464,43.30341729361113,45.26406671149963,43.79821890382438,44.01048394770073,44.46951475087311,42.14484722761245,43.76176877609895,39.66751877286769,36.693698464178745,32.72274139003597,31.24827084260228,27.926533002290366,29.968688559450694,27.334991719404382,26.2027434703258,31.48889889766269,30.789125132454142,35.05772785323019,33.83215706391295,39.06489783554273,35.0144769832878,37.086371200164216,38.309431499854604,34.49503625772187,32.287679473945154,28.792233543000684,30.36719026422576,26.50288246628456,29.504306858923798,28.89448615494154,31.382946598831662,33.64776500911649,36.24720623544175,38.753528951279726,34.92742824363976,32.9156299863943,29.69410443408932,30.270554607321852,27.87999052748215,25.12315926099907,29.1047003552195,26.548085991954547,30.876394448490895,32.965385337343584,36.61701103062394,38.21008385781754,41.383240013067784,43.48157947396767,42.257855263019366,40.787727955917354,36.99405027081245,36.76327008123413,35.46636669251332,34.75048663519684,36.52450216725589,39.580336388479346,43.4871759724017,41.16426380138841,38.58839354370987,40.65076589268245,37.20134309860416,34.98450018646778,32.162110558521256,31.00895635090502,26.62899219683397,26.248580869474743,22.371880184761544,24.616739062270053,19.7595988819001,21.93074237106839,25.635222930566243,26.47852151441787,28.476864209751692,30.736154012613053,32.71361336309836,35.53224390530868,37.74905912375313,39.0686285897214,42.41727677484525,44.61463081873949,43.88009526273496,45.9079233938439,48.687675239565486,46.142759563929005,42.80338544860595,41.986780000804195,39.49749127179843,41.49165197828366,41.102816955516104,40.47902363509347,39.41850830706586,37.11972835511394,41.1343560105274,43.23900438975245,43.73464658235912,44.8889621942037,40.17720769484935,45.65335860641173,48.91824687245368,46.89586975732329,49.581103836313716,48.25395824261286,53.335268842393674,52.73690691707501,53.96054116867091,54.59520954875839,50.990283869498114,50.61302612519183,48.08824234325965,47.72242076400054,47.630568713027664,43.00894923439807,42.806188551569505,39.7712997818931,36.840052272885856,38.05715594433454,34.66859731419384,32.43899040102518,34.088821971624945,34.049903534003164,29.39503374058247,29.70069266487765,31.684216798723423,29.711872061815484,25.415221381993156,27.267031740551595,27.78002315125919,23.35843161920997,22.93582424393604,26.728738665410262,29.033896467281814,31.034735000664735,35.685698088515515,34.887369190797585,35.87326259927371,41.05656111071817,42.18293687549917,45.75471209315672,45.711088453938956,44.8016515224337,46.78698098584515,44.48171621000142,49.362842219273944,48.84163770842139,43.68343417565933,46.276570162726266,50.73164016227023,47.587720322680944,45.67127817048778,49.27036335113517,50.63052688168997,46.84259553948544,46.56195527933315,41.914668604770604,42.387107500332604,43.98448593551579,41.167774266901475,41.64511462670571,42.115417542173454,39.390769657707764,37.63463577462428,37.28344751803681,35.68855791202679,32.56218078267734,32.2676235662207,31.16431395821281,28.08062775500574,27.35260506768186,30.94126313258257,28.752178708690746,24.426084003787558,28.189827147752332,31.528925586180364,32.852927327108574,35.94846973143465,36.23003503072042,40.54986477441743,38.84472591993855,35.068013128070085,39.474691602851365,41.318014808099115,38.60997086376956,39.01721064150835,44.582625135418425,43.78803440168857,39.99460178473807,43.1452027691504,47.26217192272124,45.74640380535529,42.738576590645444,38.47986450291152,42.802888141778695,39.23894160093868,37.46928453554348,33.22833202283013,31.710810695447655,27.07853129549385,29.526524074470284,32.02206436681101,35.87961760966629,36.52509501760959,35.69135155444649,32.18234006179956,34.31869843393291,30.4817571480018,27.22984914037463,28.57981308599008,28.282383633875696,26.711632797278224,24.027065676902392,23.465649394565443,21.043141774092792,19.36273969395789,18.909725645863983,19.65204480697002,17.406871739394475,17.31773645918365,18.00795765193947,18.78607031224616],[16.345167781171845,18.118155867553078,20.855533870392318,19.61506076301582,23.077617296560273,16.783793472630148,18.06797913897597,17.74172498124346,15.115492066392108,18.54856252818762,18.307450625827798,18.78652740906351,22.811458298029137,21.363437371661927,24.173815462960423,26.35908170285856,27.718995292866417,31.6368057030935,35.451838452801155,37.80435205289006,41.479138835527024,45.35576312147331,46.688601200453135,46.848895649685645,43.680177734727955,39.6975639852113,37.849170042292776,33.548394152794515,32.38714800356926,30.379367360933717,31.206996525984362,30.21407506862352,31.876751903232275,36.331192672809536,35.712347441499475,35.59775286660883,34.64519711477654,37.658226508445104,38.67754061548977,44.263339055563456,42.63877423011902,42.62844125560953,46.73968779607429,47.609856644053146,50.07982004809731,50.24841680747375,54.131595922552286,52.08855928439365,48.661236387045065,53.218615102604865,54.11922290344084,52.92158995392577,54.404184145235575,49.00017649666665,52.41072463746237,55.33324216812971,51.74596839817837,49.52791584586079,54.19897525028544,55.19450660098881,50.83034783618643,50.428028357743,47.42993178878632,49.928898958776145,48.69822739823377,44.55121753406944,41.677291077287116,37.690458198750875,35.52697478452771,31.738521157143584,31.772936840887667,33.297658596596854,34.288711836776166,38.827154451090486,36.93634426706793,42.37379286546004,42.6248644578871,44.09469823872407,44.17870181814268,46.18796563554715,44.087229170123116,45.19567294799626,41.68519284796428,43.957743593072614,41.96838966034746,39.40354078108919,41.22460038159832,39.93860286866866,39.95539795304148,40.63838759578622,38.21142709684858,39.93640059318255,35.873887174154646,32.999805771853346,28.87708678389821,27.56105156226734,24.038254000532287,26.318223597275843,23.72959538859614,23.17819356143058,28.057422826221792,27.71608812773502,31.611972156174097,30.681886275315044,35.89804948306061,31.9295384485497,34.3922078534918,35.57437157537165,31.85980435161945,29.531561014419086,25.912059018370424,26.970142752363703,22.874030626147533,25.656526433804903,24.753757799971964,27.227359662098685,29.386241664829218,32.008082960821504,34.42987536963479,30.60327291999398,28.5921896781268,25.38029301524969,26.073730928827114,23.748607375853307,21.135870374635314,25.357761524199287,23.344024007954648,27.53254417900825,29.895496729249285,33.47481337514873,35.27543510422492,38.58204991997081,40.380964112498624,39.098833013813824,37.4519109522981,33.4977990219922,33.531771034245565,31.863328196415875,30.960773720750723,32.57195056736137,35.541252357709375,39.35370764450344,36.94546797256662,34.43353769256614,36.500903120943214,33.0545202525471,30.86804720470611,28.147966959580128,27.22482301712344,22.88458586053675,22.981724713628772,19.122756305537592,21.996948241046248,17.59225815396701,19.15305585231502,22.60501467919345,22.97907381410834,25.19373455619131,27.05598990963618,29.235571319016156,31.787435816736355,33.79808578068931,35.06532817107411,38.44482663328645,40.738877736508584,40.023088329930935,42.24850450232016,45.04769181406546,42.688552453824414,39.22470699058712,38.454326044525786,35.783521215971255,37.757175662091804,37.39045265537653,36.74880394676813,35.867733952154104,33.398464736148306,37.651171633701225,39.55481631088455,40.2305084481348,41.24116293829268,36.76624653215153,42.278344858595034,45.50173023917414,43.33493289235976,45.79231713365518,44.2969978136743,49.41897724898503,48.73999365068609,50.127043295642366,50.88414669666653,47.32606195572956,47.16512072377658,44.7914467560619,44.62469928669345,44.78720075318228,40.191840381615066,40.27423604474204,37.50431169935743,34.53970452260506,36.26120235765373,32.89131939268943,30.36103157174929,32.388785741431754,32.770223692865514,27.978959591704783,28.124736760218184,30.654007711336806,29.065154234267837,24.48949982428607,26.600320170811827,27.645607554965974,23.208684377131412,22.55288815215798,26.821091942017766,28.685980404283328,31.309953093325554,35.275810556767155,34.37422620699658,35.77185586733696,40.8433122477691,42.42624173127428,45.60438520199164,45.46392472527502,44.18522748258838,46.01553644653318,43.3722038580926,48.18357112924026,47.853629492496516,42.39839456377236,44.75593152163713,49.27750491800373,46.130963677907665,43.924077274411886,47.34043530665909,48.87831048436064,45.07603731538336,44.30689520996652,39.95310194787113,40.20295831761057,42.079563590672755,39.64627966738812,40.081712120449126,40.98394765507345,37.90290202588624,36.021583426154486,36.31356064677193,34.709356168712276,31.17505733875185,31.22485513430141,30.63805414028191,27.55640784362892,26.721061108214272,30.812451106549116,28.992569090464205,24.607957534067328,28.422519696211612,31.987877661731012,32.92999439726657,35.82669374379349,35.61887984379225,39.99678780374664,38.6499973834183,34.42666034357761,38.575815155288716,40.69053342209896,37.98314991924701,37.841051152347454,43.59961858040559,43.04117493980858,38.90880273751159,41.720788422008596,46.14181470173182,44.77664244855529,41.56366737692954,37.23436170205082,41.72297918662428,38.12128353618792,36.81803838154701,32.22321311372195,30.61169294219661,25.822624232211055,28.123990439941295,30.37296710888676,34.245027355041984,34.61716515535222,33.929902601732195,29.92997210043943,31.914290736497712,27.710384914838603,24.941905255789482,26.377958777886,26.598873290746845,24.77047510230574,21.670167985541973,21.833067863223377,19.69019569179299,16.969929336873324,17.1227002449413,18.809817497563603,17.048107856939925,17.170382003664244,17.970256801680826,18.999114986398027],[20.02111568126231,21.469056076920726,23.926992116012155,21.81419431334685,25.061891476619376,18.940778332248044,19.442113443811667,19.235415605690527,15.661519732352904,18.11176076598752,17.289056576596717,18.32770768046075,22.207208145426307,19.98562998008701,22.555709619080506,25.171296147876465,26.527218183226825,30.052498614061168,33.59420514704593,36.34498098660196,39.76978072613355,43.87786594481319,44.99546381397235,45.245587419649944,42.31831152266308,38.16184142807131,36.7305206219486,32.48311041816047,31.321566250064013,29.628752306403857,29.606808100881953,29.434473258224017,30.83617284887294,35.027239908624274,34.71232418993799,34.45162764144102,34.11223275090915,36.89817976085909,38.1006609859751,43.97220354108384,42.06110443803763,41.593698945451614,45.77463291257198,46.76810137495939,49.044071945423774,49.39336264085198,53.286372686970324,51.321593506212515,48.18777917577882,52.94311257515627,53.79933297859492,52.7850291408077,54.08863006409276,48.67318707723563,52.05823806339176,54.68125163694324,50.93441047576706,48.67538712262446,53.2684015187024,54.1046679017709,49.5097005459358,48.86257533724989,45.76963570915403,47.98580568348009,46.974942435394766,43.00478893439251,39.66095566330607,35.76544035903156,33.23737079524201,29.379169005885974,29.19038243324333,30.294158714704462,31.551932898173053,36.25319857335782,34.73470837524764,40.12381309832669,40.84203971874688,42.40234452436898,42.82976685271916,45.078730460533436,43.43236551116342,44.83065171954243,41.70886348031833,44.19279811613204,42.03754820448176,39.22228065684482,40.5210554127331,39.34891908658563,38.75206962600992,39.345018996214115,36.521373650053626,37.84899195538891,33.817358609809624,31.20945713898541,27.193013836119405,25.51046565798308,22.087195028697515,25.233755841007124,23.18162702539344,23.467636611260108,28.075088411436447,28.698657955339275,32.10276909920088,31.951651718561664,37.252801993972966,33.59051756086426,36.52910841389601,37.73592709861957,34.20029088356426,31.71660697920247,28.058391029987074,28.360316373401265,23.948374239833537,26.197078168480346,24.46020644899792,26.734510654704234,28.429311867182687,30.928658362710355,32.705298403873954,28.953479984106444,26.866143659082493,23.959299459092247,25.024188457290276,23.236848219760308,21.28361171045368,25.993717629551973,25.038730323440934,28.975425792684252,31.71833241492547,35.15634063163043,37.19264793157968,40.65718367387696,42.043656081986136,40.689475565342235,38.788377022205715,34.602556337669526,34.92918992716185,32.63507367952906,31.230861433603515,32.5855708798582,35.01193296370347,38.6420654179664,36.07032491478275,33.89593679104901,36.00575127154526,32.54533251885888,30.556086717037235,28.12362228996376,27.78793330222944,23.59104163806903,24.47364641727315,20.483475099967965,23.797734973254457,19.56328579952291,20.129202267961876,23.541905350180187,23.49354646321165,26.30262717789857,27.428995496256604,30.267500758372208,32.422397970320574,33.82793712926099,35.06505000344275,38.458769546575425,41.009960134475016,40.244088228691965,42.91324503488188,45.6257228984577,43.58849505089793,39.908642725627665,39.3490333282227,36.40017722227649,38.383158552656674,38.03567982303462,37.2592082879953,36.589016810044825,33.66300062778014,38.17844506642299,39.9476403901917,40.99113550639474,41.923542149790784,37.926591992425884,43.487458550967176,46.637506712452435,44.24639336550725,46.2118322908144,44.30767895050257,49.52346286542349,48.62524552403076,50.428093368368735,51.422969099151175,48.00152855950138,48.21787133971405,46.10156490424961,46.23528001308525,46.70998668722683,42.154911724645515,42.60253249881643,40.09405217501499,37.18307371476961,39.33634410410994,36.03092481601073,33.2642133487693,35.516806490725855,36.24593919882522,31.413429751744058,31.278539379121177,34.19966629916677,32.93475374325026,28.163191150113878,30.27305746688473,31.62302140436144,27.25618163781517,26.292369729750558,30.647646680302564,32.28856646010255,35.30342330477211,38.804564106952114,38.047563127712806,39.696578494041155,44.7371046448134,46.526299463215594,49.558582575082,49.440624720216015,47.99408302911729,49.748801732281976,46.91406879626819,51.65984452499968,51.438959810810566,45.80665743093739,48.00380743230404,52.53318867135483,49.353457895305915,46.95555694664988,50.21566396474238,51.8133738459859,47.974673413667034,46.840474985385406,42.79479326576016,42.920048035174815,45.04058815245685,42.92686092113627,43.29736435471196,44.45796073513233,41.10968916465103,39.23363044981165,39.94861390931137,38.263021706567066,34.54482165857001,34.875872813321585,34.52916908484596,31.45210398532142,30.636477808208785,34.91450941607177,33.21064550082554,28.85117922974424,32.65351982999511,36.27923563393895,37.08498671942633,39.91225845881315,39.485727162253056,43.87077142012939,42.67382493489097,38.238303528821426,42.24838098691543,44.45645578282902,41.71202220615715,41.26308723991324,47.12442015886738,46.59314638555445,42.23067296373073,44.87204065841428,49.45280861860278,48.05599883169617,44.67420662585491,40.239887836540596,44.66563049720041,40.89375302286862,40.00038261376555,35.178315026538264,33.79873963905433,28.945752885032825,30.802939520218963,33.00895067721255,36.81786638091811,37.14715517079758,36.79786364557626,32.474781855197676,34.41840575258777,29.868962205398947,27.68512293160634,29.232612086484693,29.87113008940627,27.78253980908484,24.467402956060475,25.2274777016735,23.292380030459313,19.864681697055833,20.44580915207273,22.71062208105125,21.1684734576558,21.2798119490706,21.941577455755514,22.900915998497638],[22.23856803472726,23.21397706416171,25.3418827478684,22.277023381024005,25.3684697094768,19.829461163325025,19.74760340711038,20.12628674559025,15.938605990831686,17.25712639544962,16.36147647162797,18.344978871162954,21.39545491809499,18.297903468071915,21.07534870583691,24.019073727568177,24.873971080835805,28.093487084923073,31.102218181310313,34.272033833076925,37.38177615896254,41.68735716182335,42.487868488535504,42.63329303715981,39.946338946270245,35.66374327646171,34.66313845802905,30.56362308681874,29.736917791309352,28.61329512651761,28.19572877380029,28.871664209312698,30.373089238760738,34.18530902447849,33.85582030603304,33.15559171363379,33.393153103801765,35.573632978461006,36.713283546967,42.840596242146454,40.43289418534146,39.72388278185943,44.01017880190463,44.90623163165991,46.88177868200299,47.227467694745776,51.15232960858168,49.43360879678518,46.449983346965816,51.3231724003985,52.33293666242813,51.563249698254964,52.8388587843606,47.453921954813126,51.029067729470704,53.29077755724106,49.33351323052206,47.288271322184826,51.843860005012864,52.314488951289306,47.60995334632908,46.98018739427439,43.97091826726736,45.765713687697776,44.769618864715085,41.042343332364986,37.22125130303096,33.58177875663113,30.559078475876145,26.88261792596745,26.28035608071622,27.09782051107498,28.850753754546147,33.55771801755269,32.592709760122794,38.09923900965814,39.034757302646206,40.933882571505684,41.488364742674214,43.75914013370794,42.564026679715916,43.96850231324258,41.346869091807754,43.759975903128584,41.288427897458945,38.47759753603467,39.33268916465407,38.58633950672345,37.35586660582991,38.27834343647152,35.07002088316486,36.232319931874116,32.331907107300985,30.130608171527417,26.076053258235376,24.368630273394327,20.845881663858368,24.87956265155744,23.279385554819047,24.61283779690673,28.46089836162744,29.77868492175593,32.47242383326168,32.82028088830556,37.910524913094925,34.3708124137188,37.70806150186069,38.687948388804884,35.24303465267814,32.87075276341613,29.03237340344054,28.652756916529622,24.054179931532495,25.5753070633391,23.2295874635877,25.03172427257964,26.443144958222945,28.570978962623297,29.981338000189407,26.5601952683641,24.220853880155516,21.629409879523603,22.669532905477755,21.462386869483936,20.231742131499,25.196869855115068,25.308110840980962,29.010480556875834,32.12116947595084,35.55586389093945,37.53997770575516,41.24844879918749,42.16244008283169,40.98345236339694,38.61277029379045,34.243386013613716,34.597797432675726,31.757715997043316,29.845106041104113,31.098198769204554,32.86669878797969,36.42222154904996,33.91122805100277,32.08499502736794,34.381880898442276,31.156924939791224,29.22865700161361,27.319820909779782,27.569879382234234,23.692982098209274,25.402364299075472,21.755464709775257,25.697073448384554,22.13337644530234,21.924876773557664,24.879350047393192,24.1201656250895,27.187610899506474,27.53825036060053,30.59907927424302,32.04415779851652,33.03352635871984,33.857783568178675,37.41405909473156,39.92112291467448,38.87732397306108,41.95055046349805,44.43125805429083,42.65436944936795,38.803739306856734,38.557940543453455,35.46446694054882,37.67257516764987,37.553968179311795,36.883413178201494,36.639692113064235,33.47007714351571,38.33903618346202,39.67335192441486,41.029232486920804,41.566529312600096,38.05504330270161,43.48872645083515,46.460905133882335,43.809192967875845,45.40367817057396,43.192258810153284,48.366582352231376,47.06159060743787,49.25189949362655,50.35892217419953,47.1616273985647,47.63713039339982,45.75864317854045,46.186866997281975,46.89776359452218,42.365319316695974,43.24285638379164,40.948705507555886,38.279789269404475,40.84841519228387,37.79294632562618,34.6981235919806,36.984573515925256,38.20999903347227,33.3980695208261,32.70130624582957,36.08735560643218,35.41578476939663,30.297083192381777,32.29514557428894,34.09072324201608,29.91079636774122,28.443473841078212,32.86661302021957,34.148857440227175,37.73889789981528,40.486804999936595,39.972946252936055,42.00076043260387,46.984296466650555,49.12459336055949,51.920165841499596,51.95190256986169,50.30997872143443,52.06900909141121,49.096616166837826,53.69555308847312,53.464417774134105,47.617077621885734,49.717837167520116,54.12827759334508,50.81576977943738,48.26607689771377,51.386622233200924,52.871966921305855,48.96603846974611,47.54938316632255,43.86559113845948,44.0979990153041,46.521346814907105,44.82425754304139,45.32753241701451,46.89839481531381,43.37956391852108,41.27018597448999,42.489659303177454,40.974876457962274,36.95479680520863,37.359372963465205,37.4822591777459,34.49489163583317,33.41534653027308,37.933242170839456,36.54291138589558,32.10026123910559,35.692745620736616,39.45587217229322,39.944476032216784,42.75287736555717,42.081307431718145,46.406688074079035,45.2891673760457,40.53189491005733,44.40131570513648,46.60751927087145,43.767870403830706,42.95502414442307,48.91470409760774,48.31417770878108,43.66807497460442,46.13988900620012,50.85491648017241,49.358017346317816,45.777259058481974,41.23599454719905,45.521640079275414,41.57047738776465,41.20259186547655,36.147516512204206,35.097317366268165,30.24526741640161,31.513485383814096,33.65044267959345,37.32473338330791,37.652528370185706,37.77086687777798,33.219837142979245,35.248177627536506,30.431630105153108,28.91414746169094,30.88525209725126,32.007295045475416,29.954585817765246,26.168562969007372,27.351059169623486,25.936398371554855,21.832320288974095,22.414847625851497,25.375153298380745,24.37380870352054,24.660495359171392,25.330529785718845,26.3272985110204],[27.829648003582076,28.86232977821278,30.60989402500018,28.0252629618481,30.273065301200155,24.251694102792115,23.431974987366,22.60000080793546,18.223058500254062,19.01734456918972,16.752096816835873,17.832085421093073,21.743274428151707,18.9348249048195,19.982970506264543,23.06746055789905,25.042343047254487,27.52381160641794,30.88293652081352,33.96791955353247,37.00492245386255,41.303140533788316,42.28998603746455,43.01737576285134,40.50111018123061,36.229481944035406,35.39115743261035,31.322064863260387,29.66471195447869,28.159309057481302,26.22743771740669,27.25865838143008,27.704161944267447,31.373711953322168,31.931078503349166,31.884798065917753,32.50049990249461,35.36820752134417,37.16207876345893,43.19263319828682,41.34823374870036,39.90741409129176,43.94674634322429,45.45830877289611,47.613787453977864,48.54818189504911,52.28573312168042,50.14726923866493,47.766812383500415,52.782071575061856,53.17923119553465,52.325398533837046,53.092376480750566,47.75579060162644,50.65460136370177,52.8954070465349,49.12298571341544,46.46680447150372,50.761864990075665,51.69280194690434,46.726058538773366,45.36371033950001,41.97102560936167,43.96714516463725,43.58812600004722,39.87702022490683,36.06023176838508,32.19687198908953,29.536328706328103,25.403535709030084,25.253224449256336,25.49877603441819,26.637049533514393,31.580946112579976,30.344155972069057,35.20835822826159,36.883902543816575,38.170649746672794,39.35035668330491,42.15713199092965,41.21208583837913,43.3722601782647,40.769450360072966,43.85845609936601,41.79886179757758,38.370906388472925,38.7550913674276,37.342875776258275,35.93373721947371,35.792963161476365,32.51356862898973,32.9152853498544,28.981374927444076,26.74743845560434,23.379203918005118,20.84062891771744,18.23004905957169,22.35475949919997,21.4910231163793,22.779308295450985,27.017230584585928,29.30750534056063,32.0118450784861,33.345184008176695,38.858133003531066,36.107696338950014,39.665633046554674,41.25621388120757,38.3035660768114,35.302709740857104,32.09040413473099,31.266154689189236,26.706864691122025,28.3592561850995,25.3279506122667,27.585875646074907,28.106128663838707,30.732085289173618,30.93952754105345,27.079359451404112,25.44197222331629,23.292214832222932,25.575229290745582,24.656530289249808,23.7448530364306,28.860452581834625,29.294804939416693,32.48089178222316,35.51699858523763,38.280450828402756,41.08205934323429,44.425609055060285,45.29233396155811,43.427551570165846,41.68282801868467,37.34353185806862,38.62106269048637,35.49952069316603,33.603887016719,34.14524972893937,35.9770981151067,38.88068819694487,35.760059681057534,34.148385853014766,35.87951703969953,32.18154083227598,30.871050548606604,28.639067897062226,29.131022898734763,25.328137338958012,27.04931301898282,22.76428250175013,26.007963083641517,22.020575990748526,20.944893807227515,24.262205171158023,23.971965840900683,27.709137078616493,27.762472823951544,31.88882749809852,33.84934108725371,34.011196342622256,35.80841148005201,38.73613637678697,42.065702720545616,41.75612028250933,44.954110956017296,47.77200356061095,46.395595983641705,42.509323365127806,42.00449354840623,38.56601994063693,39.99914728301942,39.30917166275115,37.98239724370991,37.30528259307223,33.60656778436969,38.09792847896254,40.01888505421726,41.61521025123644,42.9041001772051,39.74809598065902,45.4160122479205,48.527827688757526,45.98741986225425,46.979261565439714,44.416632156861546,49.81294560185378,49.025318183275466,51.36693161848173,52.90651930827156,49.605906401928394,50.57099502859185,48.92759595790459,49.48425376658838,50.5508090105557,46.26909573035317,47.07616085752281,45.16472464788678,42.04439211867554,44.79290676820746,41.340557317538085,38.52982061158794,41.43776773851335,42.359588759169476,37.52453895042702,37.67382291350515,40.90447841999478,39.612524689942255,35.08523786480091,37.478146931219534,38.99938182585052,34.61371553604739,33.829566204406156,38.376323299028,39.79399461329682,42.96558783516861,46.186872734210056,45.24025730582288,47.03071535939194,51.893059903990185,53.84404462629393,56.594116930273366,56.16342164311818,54.408396393484374,55.80328420393801,52.55028917948282,57.23897595183928,57.47416625083483,51.70870137589139,53.4318313912118,58.14866132581275,55.218580097098155,52.4523047289507,55.331233536408554,57.40763199138813,53.70255915560274,51.79103348332962,48.23355422534177,47.64636923687651,49.963119595587216,48.24534491695872,48.158920885221676,49.49509871716063,45.64291647746163,44.190548186576855,45.45835187336266,43.31971108752278,39.57693552645435,40.67156595928291,40.40663916541668,37.30831606667622,36.979397607615944,41.42320770347782,39.72225164742634,35.6811080875236,39.74576411360016,43.311633513026834,44.09869154486608,46.574068860309985,45.73349324663892,50.17164885753658,49.49338495026257,44.94303301089945,48.56114910056427,51.15669788557019,48.580457214623,47.65687646975855,53.569363647764206,53.45053535494318,48.91326026889037,51.09049146320581,55.942413524919154,54.82823435053872,51.332179551120305,46.93844531800361,51.47279942718579,47.72748983393334,47.24613286670396,42.22770914561827,40.751705984123234,35.90122564325123,37.603005892222626,39.493389146274986,43.212874649093685,43.187041621051264,42.915265069009244,38.07005032527874,39.50520946151187,34.61665075832311,33.18586901726568,34.16076881155261,35.228972732723825,32.4476358001902,29.498057837436154,31.260555955700223,29.19676467424976,25.181928926082048,26.974500531728967,29.562800655421423,27.9183958274123,27.85805338645269,28.281533678729303,29.164392246587322],[27.5328748255557,28.29225442672411,30.112049410760793,26.584295557044914,29.233366947849035,24.055335986929563,23.27024852195575,23.587626084316845,18.970566351182562,19.050922197476233,17.487379165645105,19.851599408647896,22.44529764472286,18.669238156637928,20.733169538380814,24.033509089500406,24.87479094188011,27.319517313423777,29.81962983277408,33.42235957992947,36.08995563308791,40.59874030334948,41.105547314418985,41.40986098677869,39.1177445638287,34.72286381920475,34.32339854294235,30.456876474524083,29.613991894413516,28.930304323605206,27.336955128121186,29.080244762594084,30.13209786518736,33.42905199512962,33.54285245099074,32.71154621303045,33.73703345736629,35.59781511709385,36.97279068435476,43.27201663368857,40.61984732801465,39.30031788132534,43.55441356624609,44.63166731860766,46.33809988473124,46.95336872840462,50.80638397179449,49.178926481336404,46.660618090302684,51.69747693526314,52.58534408059922,52.04041035453918,53.04292050648853,47.74116737523723,51.17196676424072,53.0323214419012,48.9564612978489,46.85509274186248,51.217193977490936,51.5112611066032,46.573221494564514,45.59178674211354,42.495523415936134,43.88802930653797,43.23910969112085,39.82959433900164,35.46103043706569,32.050565650817035,28.619649975189454,24.979151617450356,24.066701329794572,24.1278018330736,26.237290787351125,31.047493228102955,30.660994563786804,35.91123115956604,37.50344296671144,39.45162833967607,40.47460094086417,43.02894304798519,42.446747661757556,44.21773844755015,42.121623480933565,44.76743078954675,42.194790108419404,39.12201569765655,39.28674058950923,38.66279374415354,36.68275514263572,37.40965268260847,33.76975511325166,34.31584419653483,30.594034298705772,28.86937697287509,25.2057798416422,23.069511585247692,20.005503997245246,24.91777283458477,24.136471162079474,26.307386256798843,29.64868557384864,31.985114702956253,34.05840919013102,35.27457988154395,40.33675064535315,37.26828411493379,40.99776895153135,42.0428564127116,38.88872533848279,36.36696663529988,32.673858338959015,31.571705613089904,26.90318175290694,27.809930569080883,24.625574450411943,26.09909443284056,26.75775216843319,28.649852711597045,29.011817355572614,25.83593767409716,23.573747261982717,21.65222741726411,23.222269601453377,22.83353725934301,22.508725492311456,27.644755694124882,28.80743149611284,32.0562665635132,35.40966580684913,38.53914024997362,40.79032701407599,44.53507776582297,45.017010374026704,43.718833966005256,41.20632811176189,36.724533160683485,37.468310502174425,34.045597072600856,31.66669974178165,32.497012887598046,33.54993651956138,36.6904239284039,34.00233500822872,32.68924679055517,34.902680673958095,31.750472123068665,30.199902310663855,28.702441364565953,29.607064694079256,26.10896392286639,28.467419144960967,24.85196274724539,28.89549714017597,25.60089958033119,24.52350617162992,27.27324179341003,26.176250007860496,29.709390015159872,29.268758331697292,32.96162764049631,33.981068062934334,34.18864885183282,35.0284101485298,38.42859492070417,41.23435236886254,40.233083572090436,43.74023697447518,46.10574377483209,44.764599691845355,40.76718298870689,40.72830072002153,37.38546824537994,39.461003226237004,39.3142902037558,38.45831843604482,38.416698955838626,34.8110159084767,39.78707236628582,40.97807953820804,42.724826139788846,43.22752443084395,40.3458962557661,45.727774400728556,48.57803661278826,45.746349324329564,46.7066099424199,44.04218730249152,49.239771239512706,47.748041378217806,50.39579106661065,51.79670391941902,48.79965489386172,49.72991820685826,48.18462462044992,48.93285198832482,49.99007069286186,45.60159161295148,46.81181424823289,44.845966411705625,42.21865167782947,45.15413563556538,42.14819956736259,38.935852967302864,41.451578068162476,42.91476474570364,38.12593698999857,37.32773614136576,40.95914306452915,40.46772977575849,35.335580916783826,37.362762556569486,39.33117200365734,35.20426390936629,33.64077278874042,38.094405722704195,39.20707574589427,43.013920906899465,45.421741186002116,44.97222758358999,47.163268197466,52.0754884326069,54.36553592555967,57.01181817394868,57.00529722840585,55.20608053708732,56.845395547537635,53.684804040782325,58.204449061423055,58.12953398153278,52.16929590981739,54.062186922459134,58.48128764216643,55.208203090591745,52.4774571736451,55.391924751354885,56.98929402661599,53.111087315720475,51.30276591487319,47.97185452352404,47.99053330253966,50.59936682307385,49.208196804663196,49.58376347773538,51.347807934051794,47.58711815803258,45.57399418637955,47.15014650249489,45.51066549795216,41.40720293481786,42.11393465283246,42.38020437798993,39.40185746836271,38.43628129651444,43.06080525376285,41.72590412789859,37.36328436237719,40.997750816859444,44.77187245379351,45.18867671757173,47.88798074851643,47.01822905844996,51.33968650210939,50.409348728147485,45.52685070560378,49.21956014990477,51.54110928555499,48.722163407238845,47.63516578920435,53.63124898163717,53.12176663016006,48.32399046285332,50.577111167069155,55.414135974495196,53.95263510858632,50.26165878592042,45.70134202755994,49.910728626537534,45.88687858779533,45.87939910412355,40.70528617970358,39.805440661648674,34.992303321888706,35.933064492099504,37.94432448066375,41.49102795240207,41.72320530666788,42.0900685316049,37.307536156350324,39.179115224111854,34.17057186028091,33.20265805381769,35.09390157557137,36.51779203948647,34.21796968722685,30.46161815486713,32.117701449591415,30.78475637758281,26.336904800666385,27.336549841066855,30.54206711801691,29.591767813800892,29.830067488571466,30.388770993606748,31.33018918617107],[32.06803244743528,32.86825251826146,34.596113704275325,31.092106116575838,33.45989147049626,28.245415968731656,27.12593583434678,27.079687015223232,22.36293706357184,21.959369723144857,19.81034594064941,21.933462799238605,24.57239819784331,20.740271545351654,21.843190446297587,25.254671205053867,26.444664189508867,28.209096406754092,30.503421182010463,34.25008921923308,36.6162527332275,41.18119719213636,41.58064804857565,42.157826640698055,40.16132980082307,35.76642658837467,35.734927163109674,32.051541457010174,30.945962291657544,30.34874860545941,27.68845755519424,30.041880396840106,30.472872454729842,33.40233743578022,34.07093470990858,33.42428063231689,34.93937842346353,36.8642866898171,38.549894179407794,44.83601943239042,42.27431970730523,40.433413168455495,44.54785130243503,45.90820918450101,47.5190635882245,48.45028698544105,52.181993921592394,50.48207311874618,48.40116988115145,53.52647675821915,54.15915602147928,53.6973979038985,54.39813322607162,49.187417729387704,52.29956267120157,53.94449609421355,49.89815375752066,47.575677071780305,51.71705340417437,52.07706825817977,46.95927053562606,45.53588240605523,42.27951435382327,43.50211995450415,43.27744542050059,40.08518839214679,35.460707686383905,32.15502369404911,28.675750654866707,24.979746349643683,24.06211764844409,23.410806163245653,25.486862483365503,30.359483565283135,30.240208587456422,35.01356874574565,37.253226492419635,38.97548906658985,40.479238545816955,43.353321365934626,43.17204502816821,45.36791021864511,43.53307005971962,46.49093827398051,44.032657713937816,40.66618580864213,40.350552213422425,39.55737442129234,37.170510421764206,37.395033547105136,33.54632288021979,33.43532928952383,29.864135276797548,28.43153226066598,25.33264198282979,22.7035565253848,20.35184869527035,25.562951986235912,25.42022706179055,27.82638038160338,31.069299421313755,34.08057394953908,35.918231853725025,37.76521690621254,42.925043475228435,40.287903950757524,44.19065982369958,45.4446898490981,42.5335060314147,39.78563018421464,36.335289112682275,34.90393889287233,30.263322971731682,31.007670059573712,27.37582546999209,28.82874784696527,28.895989733954245,30.78961619117636,30.25918622123086,27.144911013873983,25.20282709515043,23.789408798175764,25.901444414857874,25.92217934599384,25.993728436388214,31.159493127662966,32.70957569735206,35.67279176704481,39.06186756676054,41.88684671046124,44.453261278922945,48.0929608070799,48.41517114847685,46.87590552728813,44.511124591444336,40.02332423016033,41.15145953619148,37.47012991372704,34.943296331247595,35.406340834419524,36.156090398014065,38.886152199031876,35.97142047264846,34.977013104440154,36.954720856566595,33.72958408510062,32.55421327089237,31.143246817416212,32.35008793208925,29.041425846627135,31.56674016539116,27.788425879351607,31.576219322739597,28.211084499964205,26.65334169808627,29.4354483240137,28.415934253470358,32.273169538468565,31.47658946024696,35.69546681375202,36.718624921407844,36.36008847653832,37.4991787827739,40.60643707383328,43.76803572423301,43.005072854530866,46.7050190819804,49.10274207543221,48.05493261480145,44.01184042357931,43.98466273525316,40.47160515273198,42.25556233860078,41.9249710041028,40.79551077214252,40.69049986065649,36.773783344267784,41.6138030357454,42.93830759134132,44.90814670325691,45.640149739131445,43.129361151977385,48.536802083428455,51.370711499348594,48.516596115596776,49.02463960256081,46.07075379477895,51.31382675726835,49.90298183693135,52.78795233434956,54.438231378539946,51.511815262693965,52.767030631336134,51.42589277806879,52.3274965929415,53.60526171379379,49.346540787850266,50.641768784340684,48.880774398136936,46.14269816578955,49.21853481147308,46.10891559108551,42.955813547599426,45.693030248729386,47.11886391049652,42.32408691479994,41.73076169422198,45.365661390250885,44.72511625290199,39.7426667733589,41.867757925501756,43.776881268495615,39.585452867394416,38.17680307021118,42.65003156511843,43.79886883782747,47.52537369090995,50.02483376456466,49.501357941381656,51.65056411726594,56.53821480069704,58.78543714641636,61.42138823557632,61.283828225145186,59.43207314035244,60.944462334463346,57.66227801407111,62.192403367467314,62.29004908059057,56.329776277916494,58.06500095166274,62.57404573444351,59.41747904239026,56.582188909604135,59.37160004911785,61.16058556320213,57.344124598420606,55.293934116593135,52.101108711884905,51.83136300351571,54.45639795834754,53.13376789292202,53.294041020493026,55.0191548551241,51.0997868269264,49.32703414336196,50.9837496292539,49.112103647711244,45.09335871951082,46.07259266954734,46.223229749463684,43.204558160251864,42.496618597904416,47.10360976491345,45.65349228412253,41.41546103703217,45.20700984255316,48.922212068691636,49.442054637686155,52.044631655439424,51.10894599968206,55.46806800019838,54.68474563371844,49.84632230896365,53.44864262961886,55.89618245027125,53.14561331744153,51.98645034297742,57.97985904813228,57.60440446415611,52.801556243739505,54.939856704540425,59.83849559034999,58.46754246862361,54.76943546494705,50.23274248555861,54.46611858388851,50.45491964899206,50.50067034495479,45.312026472951736,44.37061560745333,39.55904288125844,40.51667410732703,42.46335193339575,45.98566314982479,46.12679863148137,46.470635771435155,41.564342523128154,43.24147099522356,38.171287801667724,37.3595381505176,38.94719174601321,40.410788323643466,37.836641947427815,34.3521304331899,36.252347383260386,34.726747394039776,30.269272203292044,31.657728012774278,34.7774751885886,33.610428989387145,33.72454077095517,34.17172456064911,35.0403601381089],[33.24669141380954,34.541176483256734,36.76483801342307,33.704272298403936,36.499871227118696,30.88354220496581,30.196050899081467,29.840464343234224,25.32220839617427,25.59825619007552,23.35404976315883,24.879104175839732,28.246174365466974,24.81075660331176,25.672973399864293,28.991164211479507,30.633631766410804,32.479424837737504,35.05827619881712,38.656858240101776,41.12777818375536,45.63706187322008,46.16410806127353,46.861588273702594,44.82198916638352,40.450078774315756,40.28604185187534,36.50937207611991,35.142385179292646,34.17728038196489,31.382498517914357,33.36339383531679,33.427740779310994,36.54878090328086,37.52045689848185,37.276956676418635,38.57261505432707,40.97040232247445,42.79459528099619,48.98911661160488,46.709503183591046,44.86797960258413,48.918067453357814,50.41462010124811,52.156874641487825,53.148576957808395,56.86489259331115,55.03405443380524,52.95011914960983,58.061937621336426,58.5745390948099,57.991120884734826,58.63420695219316,53.398101524299214,56.30714396798629,58.12027305421778,54.190226871860716,51.639898761374724,55.74110473496299,56.35943221285633,51.21370623082385,49.581287931271305,46.172745521021426,47.59169378190009,47.55276595849907,44.28355277825957,39.81243860946241,36.36701049524749,33.12977078723787,29.269937948789025,28.580126849840024,27.828039017739588,29.615931052275275,34.54082841291371,34.181173020715065,38.6536892202637,41.09963906726529,42.45863550186351,44.135674174308534,47.17275244622287,46.834801670800516,49.218029441475664,47.09251279620091,50.2375403028334,48.001309553077334,44.51345640800275,44.34474994538334,43.1712751581947,41.05554057897147,40.792419728711835,37.09907732715104,36.74982080968176,33.11639052774115,31.468101801957776,28.630144400842457,25.69537112153485,23.680672964434883,28.43836865535504,28.182618482929158,29.849705706952214,33.81704521854138,36.5841032128599,38.95841239185836,40.63997941802222,46.06003221598255,43.37230263869204,47.04202925114618,48.48849842382143,45.47041569069435,42.61934696572801,39.236052095750395,38.247162279962694,33.61863368904087,34.81138875234605,31.438525559768593,33.1571593952464,33.37635947538654,35.45037030837785,35.01473587124104,31.723251320498647,29.887037839836935,28.311300187897203,30.419802423463253,30.153862982742975,29.823920456201783,34.99597380790229,35.9241332360285,39.14955914769997,42.37096244440838,45.26801922068393,47.858185600746715,51.399350424422586,52.03553352926145,50.38369995556984,48.27257371994498,43.831573030132965,44.873356227537464,41.46767299154923,39.14324437314679,39.733243056323246,40.7564869494504,43.578631849344596,40.621668861621245,39.477594120338644,41.38385018671423,37.97794387743168,36.78355441520203,35.04846028262107,35.94497945623384,32.359763315053435,34.39920614018266,30.244059334247186,33.546473005883364,29.481746548155773,28.35413843273474,31.638114778829703,31.20068481111602,35.04997301295402,34.72972904840379,38.986898548489854,40.49945420531932,40.325090108835035,41.74960183891735,44.783438000980745,48.03248368478537,47.38251729422672,50.922220733557786,53.42761108877092,52.21041152937032,48.212298741555685,48.05730364101663,44.601540715659404,46.31012200585965,45.83362538353365,44.58570664461245,44.17270581303183,40.29230048759019,44.895660959896034,46.60186014768188,48.430166479455195,49.48853710415964,46.68007390817178,52.23229554135016,55.20327764419229,52.48025015560498,53.16831819723018,50.32329692328971,55.63620116593269,54.425005297504626,57.162926846048755,58.77579748683085,55.719752350759364,56.84123915632769,55.34749853873243,56.075704986717504,57.18862861474556,52.85146000297726,53.88209744997246,51.90123781948753,49.02313010299785,51.778470586539335,48.48779492354211,45.540915577135095,48.17079686984187,49.24029480398462,44.40044713269754,44.07372462510952,47.37448672816923,46.3190543169951,41.49128333758716,43.57753490165048,45.12259814886799,40.79797382444354,39.612517511481954,43.91584213409113,45.41693220344429,48.71606209014021,51.83276361217736,51.304326939812825,53.14713724934424,58.17004990555574,60.06213694745092,63.024601640746745,62.87177413083114,61.26434516432493,62.84819575716438,59.73269496601223,64.40881443828358,64.44439754734346,58.64869816714781,60.53641707106447,65.12356482819408,61.995186731851035,59.3144551560465,62.26718513724196,64.0478508915567,60.21583415928088,58.464427366307156,54.95961992111447,54.71998495664285,57.133074416596855,55.451746805622776,55.531005755227994,56.88299626996457,53.11086845562108,51.534057112630656,52.720257852736694,50.687992663215006,46.94669928751285,47.82096225588807,47.516102171499256,44.40156459866304,43.898136463069626,48.24769373440232,46.453589347157646,42.25387248266931,46.17931091017818,49.76004365442187,50.613382049468115,53.33500246151393,52.71209152853584,57.12521560567146,56.14420741475748,51.595076865740026,55.41752568354595,57.77143844606839,55.022602454473095,54.24932209322922,60.19115792678605,59.70980916466474,55.11100494337703,57.51384844437403,62.2732582646738,60.82551243302045,57.245708778620305,52.69894712296703,56.92759947683871,52.900108655575195,52.55689866373332,47.53051710810167,46.55886394107145,41.70483167525686,42.902643490291524,45.07143507616478,48.70293125947612,49.01330389689105,49.16038573334305,44.455874487490824,46.216662848942015,41.27360647172627,39.96892880020818,41.37191675187112,42.45448720463928,39.85022176284042,36.67538797498997,38.19500694446025,36.26994011244105,32.319389590504514,33.55208786266005,36.14967288045293,34.51827827935951,34.443980866693224,34.79678656410025,35.51389946024123],[29.200956372724523,30.596013314845838,33.09053883327113,30.01901865936025,33.26169755502205,27.74397757832728,27.50513125102258,27.544437108156647,23.174738986148757,23.935264382054353,22.240660561014987,23.982890007228267,27.2959845146557,23.86730113921138,25.57001903316349,28.82407178567571,30.10450987986021,32.505317807637375,35.1618344434456,38.712342786542116,41.39044301022315,45.88889898256492,46.44276728473917,46.856870697931015,44.6033325972797,40.21302850690448,39.798963875836314,35.892674440421075,34.823699817037884,33.845114517275015,31.949765809215478,33.474913368052825,34.094499149827385,37.523575346358626,38.00664984822835,37.55256473565087,38.46248825066561,40.73709454559873,42.25791151273394,48.48854575710125,46.04982386015641,44.67035788187587,48.86635512185382,50.07186179316159,51.83934018754299,52.51446725252806,56.350704911584494,54.65147425733636,52.16690656369869,57.199199521524704,57.99748074136666,57.37300885828825,58.30911762737133,52.9945040690531,56.236257963856254,58.20300406990423,54.21295069243761,51.90489999950748,56.207283703463204,56.70402784133336,51.703767845554886,50.47698418124811,47.22039315275062,48.71672426606073,48.29905527372846,44.87759221358373,40.534429933855414,37.04421381298884,33.73804111783838,29.955376514632736,29.170999559539734,28.91890009031831,30.884106383323076,35.78384082368398,35.313577478255226,40.23595060005586,42.16537203227522,43.77788081761175,45.050806000357106,47.807584748038366,47.155785255083615,49.14444764153549,46.817948451485904,49.65710601762582,47.281854331246635,44.08107407094835,44.31533368593082,43.34345251325335,41.52539476062372,41.74910761993151,38.181141762539696,38.375415652526044,34.611407290333034,32.75086628482091,29.40824398230516,26.866547411498008,24.22964492267325,28.81909748467861,28.01078229091714,29.451373336927254,33.546025811155125,35.681370569050415,38.28815727987956,39.36040606977662,44.67857430450514,41.54999729922013,45.026631357026005,46.23961453006762,42.94891569201476,40.36232917963209,36.71548879177131,36.09803007461272,31.46011710130134,32.78274372291858,29.846470491477223,31.50412910384283,32.255568567794136,34.228558078307806,34.55326673522889,31.301841914231797,29.136082704096868,27.182658090661235,28.72963757077156,28.162389043817683,27.50424354131999,32.59661420672393,33.12592360487229,36.66375959797427,39.84204202595114,43.07608622220631,45.28686284445561,48.95272521975946,49.742496879851025,48.38102117067047,46.07690836864639,41.64974257164678,42.232046766783164,39.09319817749078,36.8783767157656,37.85578423484552,39.04708189372837,42.26109768394111,39.57289535450904,38.191128807921196,40.35452897423072,37.072154756183515,35.52771293591084,33.77343325753304,34.403801501690644,30.651930955146753,32.50730941205039,28.501018539746752,32.01581844139023,27.91455276449966,27.33439837110645,30.644853861563043,30.16255958907773,33.698173325629725,33.724398753947966,37.464072981632896,38.93471792323921,39.292209964345744,40.363202690872214,43.700567184177,46.565737665079745,45.61643806322823,48.99380055964663,51.40487618467688,49.90033020853361,45.95229150647975,45.840759057062336,42.58024255163376,44.62710749220348,44.370173478856074,43.41302843296012,43.09048893463241,39.50517654721702,44.254011128227226,45.8060776873076,47.431365015726975,48.22859117148766,45.07941032250325,50.58252702787377,53.548007855342,50.83059223361687,51.94805565496153,49.36383688250075,54.610973190177994,53.2473777905545,55.79663285299893,57.15292047537567,54.06858089355594,54.862195328801775,53.17338068766941,53.75511083207273,54.62323590590001,50.14479812406774,51.097387449838116,48.866817355166766,46.14890038352825,48.707056013980974,45.5477023569391,42.5467306437974,44.86049793929087,45.95031376196362,41.12389416093515,40.52271107941477,43.77293342222765,42.873014864514246,37.856157659157525,39.76207435808726,41.319370989550706,37.0637830168326,35.6667838395563,39.861619932267395,41.38994797308237,44.738007436364725,47.80865268184438,47.44765426101113,49.3038020368191,54.39719974133261,56.28324406256203,59.33327162000429,59.380853503257036,57.889464005593084,59.65753296531759,56.72473762674469,61.39409269870513,61.19324863903137,55.41886913289458,57.524247403282665,61.986469242070946,58.69871277043151,56.17168375486197,59.28561764284103,60.792106179017125,56.876815609926204,55.45686270639635,51.79129985200515,51.93522427580247,54.32220317441041,52.53835404406877,52.87690555191126,54.23665663221427,50.67189159785829,48.831188012473994,49.85981000478423,48.08794612264222,44.28706251573267,44.807716242215,44.567024348358764,41.482916418676105,40.68816164782459,45.00167180457549,43.27522651105979,38.90781817189885,42.64834110333898,46.281423956432974,47.07312532022575,49.96502849980519,49.49623294004783,53.8639385987236,52.63768344380323,48.08084560750622,52.06299624665675,54.2144849690491,51.36039771622659,50.74522761749224,56.67548171239789,55.96216898433549,51.39228713214182,53.99108748492685,58.63586523336885,57.01472287155011,53.45000607067697,48.860726679221834,52.98483185967644,48.89773826286466,48.47401496159041,43.50335025070304,42.67988527388584,37.839548171035794,38.94899627165619,41.26505770302556,44.900219650664575,45.39840936131014,45.627196491700815,41.13490823240219,43.16722181142443,38.32324619158979,36.81568489264261,38.586871452194764,39.5753723776632,37.299787664467054,33.848888842011874,34.99848891456657,33.248610961972524,29.419931662051916,30.103050022850045,32.690699285197084,31.221802557969692,31.25510201883341,31.70169778362734,32.445751847307434],[25.67767819053729,27.307247971677025,29.979115652235702,27.465099561186666,30.846595526615907,24.965836973074836,25.136608222689258,24.934223750663794,20.922245821857032,22.507771685265432,21.035833860541423,22.299641400835398,26.130274119573045,23.265995652736223,25.19422378978248,28.21078221349099,29.71701861714279,32.59907909255091,35.7503805870416,38.949193227039515,41.99289783254064,46.33856052072154,47.18148077122687,47.58430007925234,45.02193762261126,40.70898501282442,39.831220864602564,35.7283399582992,34.50227222109359,33.095635326665835,31.857239398675933,32.59036816309426,33.38279868915742,37.21764071947007,37.49452793547987,37.26849656315095,37.60942180284819,40.28386250761187,41.74704910451772,47.82134672000514,45.702391384508005,44.673921890872734,48.85615271277109,50.04024497424936,52.07850107415104,52.6549954106167,56.51874509795307,54.646219210720425,51.894998296623335,56.8260611827838,57.59331710836076,56.760048674650484,57.81999703750978,52.44087066080511,55.66569562757677,57.972246241477556,54.11608843399863,51.72695515725927,56.148845087188484,56.891047482399365,52.0265004122822,50.95393783681973,47.69007457630428,49.57532516066324,48.975074791866746,45.27428536201534,41.37419261775109,37.63021510561088,34.704916418380094,30.775039611869463,30.314491388219235,30.595318698968928,32.18049187382431,37.08014719174621,36.07040977372452,41.13036328086886,42.63777654865081,44.10598859238966,45.097612673840366,47.72136935351099,46.601431275440184,48.43469509603647,45.67221158037139,48.455929094932266,46.25259445977612,43.14049992481383,43.850829566449654,42.645278004475884,41.411453868072776,41.60336723330896,38.3733808200359,38.96012046520412,35.023313365183796,32.75400645673362,29.191281613836892,26.852750704230225,23.977239211484687,27.901764937078386,26.573216807860415,27.3063092662068,31.895837611021,33.38115950307982,36.50223046690017,37.06066515586005,42.480220530283646,39.14410601394121,42.324577978058784,43.620974571936415,40.21252934761747,37.616728848617264,34.016893793492805,33.902263648348296,29.35908651856213,31.195382249618305,28.773822764754748,30.78433177725666,31.93319770079436,34.20828268655719,35.12068125156132,31.558577210889556,29.45709131402068,27.06260006975649,28.480449463443524,27.35003809103019,26.074137395268778,31.041276649213422,30.79518250033583,34.55990861499398,37.50260195844511,40.82046307124881,42.990139922078995,46.52572396598423,47.66755993555423,46.251128157036185,44.216739834058245,39.90257733075536,40.378172514438006,37.661170948813606,35.83237027763759,36.9837147535715,38.77014490278512,42.18019806852439,39.49263500996913,37.738240016399665,39.84929918632229,36.40365880897488,34.687036941218466,32.538449330101415,32.69642259158117,28.6740231857605,29.987551476532854,25.83196038730246,29.058928426260575,24.61848656998871,24.6135851451044,28.173448629555672,28.084197501130873,31.365359292073716,31.978301121770652,35.41966085355291,37.34804363812482,38.16109351203573,39.428821221206206,42.75605281391277,45.55522040224409,44.73841406779425,47.781913136360814,50.36632246499556,48.593331194644435,44.76448056032936,44.42037525526707,41.291116971088734,43.26715984805712,42.90623980990369,41.95979697287145,41.37681005658986,38.04485372835849,42.61858045909938,44.41216327165683,45.76077415759052,46.749610216459814,43.160285678443394,48.74681447579544,51.84101353086304,49.30418360004053,50.81654770404538,48.534370063371284,53.811755895496354,52.71996860823611,54.918406910248294,56.12511370621065,52.85003214108162,53.37331090961909,51.460978099970625,51.80134914337334,52.4581145086989,47.92990501630189,48.579069228629685,46.16712347777169,43.315175239747795,45.586550041857286,42.29918302065427,39.486940768461004,41.740305154426395,42.53669062257024,37.70736706963827,37.41290628860314,40.384719051771505,39.16291247431207,34.33748720914979,36.30304198375998,37.61498182459471,33.27204152241621,32.15342192945133,36.322171695759245,38.04344868084301,41.0642508724513,44.565133347728334,44.03863732356017,45.67663373540916,50.79194535003218,52.486136275113445,55.65633749137561,55.62227773940374,54.24923876841818,56.03060049501043,53.20516109890984,57.955664695687304,57.73105727494511,52.09330396117251,54.28366341133912,58.80131692157956,55.58189930650415,53.16775191072769,56.39359019403231,57.942940426434916,54.0634064759865,52.86536858679243,48.93730901859872,49.06729131738572,51.2588395233388,49.20597656175866,49.512351960252445,50.63672108129724,47.21801089224906,45.459416435081785,46.17326259253597,44.36254722480648,40.723735434868885,41.14030465538638,40.66227313956941,37.54927641205803,36.85055433331907,41.02326697347852,39.15819489846477,34.83197428984554,38.64899683350354,42.20784461779485,43.15011789920925,46.0531721074819,45.72949678760886,50.116613374049756,48.83141748684481,44.45837222758677,48.52552939915776,50.66325473260856,47.86531907788313,47.47224087634631,53.339131934078154,52.666683730066815,48.27398098377497,50.984003192793566,55.54107336596267,53.99016330031185,50.5543284925634,46.034657614442644,50.275131334366485,46.31837410669526,45.547965360927535,40.71243306496669,39.653184691385064,34.80610125868352,36.305668065755874,38.658610422263756,42.39860610340154,42.88849574647436,42.80404785660961,38.4626532432845,40.47389298016612,35.802932842676505,33.85550013927221,35.43786219849798,36.1352839674773,33.91115066863456,30.672855089535982,31.529587972406045,29.539545375751615,26.09893636131279,26.702716837003003,28.920798515028114,27.215108198196685,27.185184496461492,27.65809002237376,28.400395788119607],[24.774438753984118,26.144156697701405,28.873723706409805,25.616021762914208,29.366567012082683,24.215571609015996,24.480312698131762,25.186708974438204,21.074337412015794,22.225636388989173,21.33766674458151,23.45696391945009,26.361543112457845,22.927736051598636,25.621179535312045,28.728759789179964,29.4133733509212,32.349828096271125,34.921507318322234,38.414708814580635,41.229801263229575,45.679766734919355,46.19828445452689,46.24808474241964,43.81013721022079,39.450666409771046,38.82082434758847,34.86985514271383,34.261553011550056,33.41327736447959,32.57360013797189,33.69859790930974,34.996151272715935,38.62079591074547,38.50522962886022,37.70807299133338,38.2570289879391,40.201869300097925,41.308460034554194,47.541152048245586,44.83926276316119,43.997237447568054,48.33037784666541,49.147302483730755,50.86813717889347,51.15184544831107,55.099137536782195,53.62076815011799,50.705249190578904,55.60946436740282,56.78036491959991,56.1602441668677,57.44043695215943,52.09040740228314,55.745782272202604,57.80396196246591,53.73528604663054,51.79314732627779,56.28736828731639,56.555435609135095,51.76241057180276,51.04116987242246,48.02540223581945,49.5082439439783,48.64647794141434,45.13914140443684,40.926526946028986,37.503414791968936,34.09813157317578,30.552239765988748,29.604028680417095,29.88043376971057,32.080570934420194,36.831163917846986,36.354207460142234,41.72991707390001,43.06481759004327,45.02728773656167,45.82717812245081,48.21241031875763,47.29035238332345,48.771484249871364,46.34436687719497,48.7498098384466,46.163013004586595,43.367671542204505,43.995259662301855,43.38023638073548,41.813006246265324,42.691077635547884,39.25085962810722,40.042094788237925,36.23335601931526,34.26743237207723,30.428468058073427,28.42816838789739,25.169811743442096,29.568517994010787,28.225996988049097,29.589274781733437,33.52252886385856,34.976517693518026,37.645106911117736,38.04306975289085,43.09309451510235,39.476524990739705,42.754284845998505,43.599334542897715,40.01998431658897,37.835296536874374,33.85811195722757,33.58419221644957,29.000057678062483,30.307243308725273,27.904196481702055,29.338329619099895,30.68966809917998,32.41348562991799,33.60260756227058,30.554818310449967,28.010708933664844,25.720712991170632,26.484446437273302,25.65094775256816,24.71607755405717,29.604039582860217,29.81411859131888,33.64421424008345,36.79446219724023,40.41766238297964,42.10671273860231,45.94890046342285,46.81786436918877,45.875313088129595,43.24956753434986,38.858516170864576,38.8539145728269,35.99081024205098,33.857970726737605,35.292629677948426,36.55588508752421,40.19051206618395,37.8915096043887,36.305847172747875,38.78341285270665,35.76933732587111,33.83423270961294,32.2081897592268,32.60636730937027,28.810402130974555,30.55701565079654,26.94814972107618,30.797728554170213,26.96187554658022,26.920282449807182,30.026862786986328,29.32771062796796,32.41486373307656,32.70445467633632,35.7433729948787,36.973265525604646,37.907444260677906,38.42826758864177,42.121640427022314,44.45779847106257,43.09300267172476,46.30588572884597,48.52979859272309,46.73424980470667,42.85749224937343,42.862680567592804,39.86293481958459,42.352481007349574,42.42332876467367,41.86992848979916,41.76311021896739,38.557443314167536,43.48604711047966,44.72025771870011,46.142064175836005,46.51202020563586,43.08501113794881,48.42959039269544,51.3181137615245,48.57892652065206,50.1381752333192,47.84310828740749,52.94087407993571,51.32362591459911,53.69279150781771,54.744788778164825,51.69859105124961,52.13374727609984,50.26719206915647,50.724203296816825,51.33346435291773,46.719961261789315,47.66372091478827,45.18697122934723,42.75011834470675,45.143690560832404,42.23878293636894,39.11109825936838,41.01433820801004,42.252662971669686,37.48407655771825,36.396686403050126,39.683997338789595,39.15091735957605,33.83319541237398,35.47635071836188,37.17380780372401,33.083320266324606,31.291197587721893,35.36559750481394,36.80867480254604,40.37491727458951,43.15791168811118,43.051157772189136,45.029374305545076,50.16829231129969,52.156694697023475,55.22009505487613,55.545266725710555,54.13286532380036,56.11688668346791,53.37825421096024,57.97745074504897,57.48732575068133,51.702252894906444,54.03753943465829,58.29553306879199,54.79509443882583,52.426795419906675,55.68796829206355,56.829000738497825,52.81158044722681,51.7347546395691,47.97740345322126,48.62422901296009,51.03894749458486,49.25039823397917,49.94839649430383,51.42891182384375,48.09976205581039,45.87104534653757,46.84109210762464,45.46504332837989,41.52834790014262,41.61454096386038,41.60526121707131,38.614429402883154,37.368632324786724,41.68840706768045,40.17030487739366,35.59362228009393,39.01044341848954,42.74016715321583,43.339199583416274,46.41476977474009,46.05524407204914,50.3283275939802,48.838834497265445,44.190745956745616,48.30632134868831,50.20613674584092,47.21110460449218,46.685630457783574,52.60535858948834,51.605323749949676,47.009340986738,49.78643728011201,54.31352882388236,52.47521874907078,48.88888588092485,44.24249438796816,48.20464075474386,44.02727381732408,43.63702902750729,38.68734642317416,38.11344556139362,33.31737244053643,34.181165283798805,36.641821984541444,40.23298957407999,40.950219548809834,41.38081189353882,37.13326617113297,39.510246337771044,34.78690262792429,33.18713731370052,35.52137448503259,36.503167379659956,34.69841894093779,30.80938817310465,31.561309235468155,30.212374913441213,26.431712048080136,26.356115768910566,29.09138842077037,28.03100954460218,28.280850799971034,28.877068074044406,29.68488464655348],[21.17752724656881,23.26475352366638,26.640613583219945,24.47147325610137,28.702235933532958,23.094212712484847,24.245827708553932,24.578267459270787,21.24456920078075,23.67022717201951,23.072134246869886,24.337611905989654,28.009566184919425,25.462208394838605,28.218886547581544,30.970174538356286,32.05874488602142,35.496939848341405,38.673495720778966,41.704201151377795,44.931750889261124,49.16836617567316,50.04446337488593,50.121604396869614,47.345735977655686,43.11336924244219,41.92950110448979,37.77176230635523,36.90466646588946,35.45125936479147,35.29244330369499,35.39258536590737,36.726078544919176,40.8307255335653,40.60604687245649,40.22423205823992,40.03675441081717,42.591251736798675,43.663889233435505,49.62328819005727,47.41118751499221,46.99033120474988,51.256078777725214,52.083261076297006,54.14531487234864,54.322668659609974,58.27698125149204,56.57281891942495,53.35011416029507,58.08951955987747,59.1949537731969,58.28616202819591,59.7005541929,54.29553257693921,57.84961125296217,60.35757466141287,56.504138548670895,54.40166288666287,58.99887052050169,59.63812703115844,55.00894957660162,54.383487913515324,51.3123056177576,53.28567710163583,52.301308493368,48.47791276266019,44.81829077764874,41.09341616877463,38.19814300993304,34.45937718885411,33.93364667139936,34.666929099441575,36.3709194244716,41.131729271970976,40.01536675321151,45.38673514739725,46.35867800275917,48.013172447233735,48.57062636657511,50.85593202296102,49.34520540317005,50.69696789732712,47.65966655705102,50.03216766493014,47.75127204993628,45.05814207223239,46.298650277572705,45.281225952308056,44.49380319689477,45.142294406401156,42.15288395701425,43.254737598581215,39.263842309810066,36.80620878776697,32.889431162652066,31.004426516873714,27.702542477002254,31.133075198001357,29.186838256594953,29.36878917008559,34.100027317039014,34.58596184163919,38.07597532720214,37.7048196826226,42.89848174033156,38.9894498489887,41.699445562273034,42.67710361482689,38.886186300088006,36.74329618358225,32.87408281016738,33.52887539499375,29.188279516453512,31.296029886416914,29.724422944789517,31.623146636879635,33.47992500788312,35.56897956567818,37.42653401515659,34.02212386718814,31.632949602097153,28.8628549173173,29.447266737466634,27.87112632229268,26.042948793587236,30.599878092000203,29.47357517404169,33.68811148267117,36.39139784117522,40.164212189198295,41.70087212491796,45.31304137427187,46.783352905956704,45.792335137868804,43.60611840014422,39.444471550684554,39.17356424215412,37.05256885665993,35.5268993075906,37.244172002342836,39.290261779866654,43.16293172216874,40.89991635160881,38.84714532395141,41.21980643962324,38.00190057167813,35.87399881455324,33.696062707806924,33.373634117872086,29.215432273830427,29.997927029061366,26.179837796801966,29.351662303528286,24.866716249988723,25.876128883880465,29.41036134884564,29.454803729008677,32.104382871999874,33.33900482760365,35.910236656213065,37.86927526099299,39.455012981656935,40.27862414377256,43.90753196246073,46.134239517226426,44.94680697203872,47.63941441244518,50.06939541202299,47.854359855752406,44.19892799408899,43.88328859047588,41.14317685055743,43.53160737601111,43.44644463097106,42.89744975558176,42.36265756305664,39.54788413572313,44.1144869310627,45.76593094285151,46.762732464343514,47.465462852029304,43.381701595820104,48.81691159782164,51.888963618410706,49.45094181093977,51.592320522469414,49.740767943561636,54.851015847936324,53.624449629272135,55.48732006550612,56.305144275312564,53.00652496283683,53.00683100903311,50.79005903860368,50.84508916291444,51.06059549981763,46.365578917274604,46.77663502420904,43.92126622579086,41.325372154476646,43.09545168420301,40.00922165446053,37.26070212749716,38.88846539241648,39.541987968175725,34.812119221809326,34.178503976443245,36.841141043222436,35.71203477472566,30.72309261071354,32.30525417386967,33.429820328235564,29.2163035840833,27.850494907051345,31.66217632260398,33.596712798838006,36.449173375493075,40.14425980860537,39.90511685230285,41.40121515372173,46.653588248605246,48.16207995413041,51.60530276698318,51.89727426869901,50.83242144953629,52.92861701967848,50.50014090910501,55.2480829752718,54.61946148722236,49.1464705922776,51.724728301869085,56.02420260420716,52.59629188562887,50.52168575222996,54.0309458717295,55.12694313772201,51.14979775467507,50.61719784834193,46.359980290481396,47.115205536385474,49.14481090703133,46.81133762779468,47.49709145863243,48.464446989118294,45.49433505248731,43.42221127687929,43.665875870892684,42.250445767229614,38.70767424755697,38.47375423434655,37.91012750221601,34.87242471675364,33.77118941722803,37.680197492537474,35.80457392821217,31.274069885488434,34.75328264366466,38.29336422196474,39.2732480619999,42.49205404728632,42.576578070085674,46.855431384245655,45.08349169839088,40.880616598003066,45.26489385587451,46.99867490708779,44.05423906267824,44.106848182810175,49.86550541017343,48.77133231334904,44.563763100885375,47.683472046260384,51.945592428729135,50.0947481056453,46.77031883817146,42.23019620778243,46.25055647765418,42.236881108708936,41.14671054743852,36.54700838297679,35.7356427472977,30.983441179652473,32.43421601156729,35.10069649622788,38.83233146574545,39.70212062432943,39.65896505257528,35.85707631361339,38.30431420484787,33.9814796775279,31.531761064936525,33.604233354891306,33.95132489814359,32.345643889278584,28.896826779704487,28.8840463045523,27.08890648918781,24.28767597033992,23.756195639577555,25.58297820769701,24.004527423851552,24.09989634375736,24.693622293935185,25.3917832385654],[18.16925272114489,20.55780346652155,24.34150685939301,22.54657358042441,27.204921243395095,21.840543754993355,23.60508672010939,24.201575206582167,21.43183892098079,24.33891167525096,24.250871571204467,25.421832611733645,28.965814000953756,26.731721646834764,29.87208519297466,32.40036305672628,33.281884784618946,37.02486962319183,40.254781129203984,43.10645211365894,46.45993389963662,50.578687157351034,51.51868648055055,51.426537197470736,48.506734202408474,44.36855885432609,42.955926937576365,38.786803427034435,38.09244271989436,36.5752591401176,37.07851929703959,36.745765756444094,38.38243592947791,42.63331559809351,42.10721392640643,41.67106839205988,41.12691923623033,43.64048148211753,44.48490236251206,50.30366276869834,48.11238752213334,48.07459812505898,52.34901441964553,52.97861254856021,55.086363330049615,55.03687909977177,59.01927099659383,57.380992048168395,53.88316882458896,58.47417879610199,59.74430775279864,58.769963622227586,60.38516932388706,54.99021355903477,58.69590385621127,61.35126209191579,57.54279074411562,55.59523570478329,60.2774479658387,60.89465503654972,56.439110905791985,56.08299406101478,53.13402398804217,55.20210843674036,53.98939458278578,50.081604373688,46.64830659935322,42.9243044660968,40.136986002104116,36.511964568939966,36.01565570442991,37.05182288293945,38.731150496433834,43.378781138540425,42.132808420726,47.65021122105107,48.26570154933108,49.993561725209865,50.27091637224523,52.33613741705405,50.560358887845496,51.614691327221756,48.39520659568638,50.51174909042416,48.230207290608284,45.80264743612506,47.386477027991226,46.45213813975288,45.98968918155207,46.881424798898415,44.08821339582983,45.51332978119677,41.50396469051623,38.92338885808033,34.83487049916494,33.24241141039513,29.74246755521868,32.78598649295576,30.490039602334782,30.320270502081446,35.06987189675561,34.92330073354762,38.61422686873775,37.66572156293111,42.67396110156154,38.459386075362815,40.83453338999459,41.626031048078396,37.64167994614901,35.789392645573365,31.82686084031281,32.98256780605671,28.860347158046984,31.154587209942406,30.162511391227763,32.02388484106221,34.28243242397964,36.29846917749774,38.71363847216076,35.38024950623354,32.903997227530816,29.926666189889385,30.057157905138137,28.181114946783016,25.994386440190382,30.184915637916657,28.44522037297175,32.87395366414518,35.361001085673514,39.35223068146899,40.51011780058153,44.109876058758594,45.803243915367794,45.0493313274343,42.84252400332508,38.833095629353075,38.13863133405268,36.45223465195682,35.19045060675636,37.211906442024144,39.48474659191012,43.58431282790659,41.56353042703369,39.31349491985565,41.781051105025874,38.69746273829996,36.356428501986144,34.13648913397912,33.4883945332349,29.30398301926171,29.70121617041255,26.16266681173979,29.211178426347566,24.817190429887326,26.419778987772368,29.85478119902962,29.99864604589729,32.2073947883098,33.831133649302856,35.833645339763315,37.843380008238434,39.89586735115955,40.50231006336377,44.24751768636044,46.13325926811572,44.78867553220197,47.20490959464855,49.566083684166266,47.08392421228365,43.58029611415992,43.23640983036882,40.76024734739272,43.32922137878777,43.3785828197921,43.05532254104689,42.52006257304927,40.05912957164218,44.55266201713409,46.13335037621156,46.89006329013205,47.45167220607772,43.07296799283159,48.38360465050371,51.437560653481725,49.10067960768221,51.629352918746996,50.07399123351746,55.06047722523673,53.82002189141299,55.427557974301436,56.00811612269573,52.68332853418304,52.357671278133054,49.954150939449065,49.81250824371422,49.749871836914636,44.99059893401271,45.2165073282237,42.10900631177823,39.66005123157503,41.089413352841284,38.1312415086539,35.47127405255305,36.712527245590366,37.23979755297363,32.612983921873514,31.8319113532897,34.24767978375216,33.146548852783894,28.129136431050288,29.477535740314,30.45416938837798,26.343766196444506,24.87777687400705,28.450894655339308,30.522689407852013,33.2198343397153,37.067850511228265,36.95716459755314,38.340339858523066,43.648937075092675,45.038577272339154,48.62427729518918,49.08484892990849,48.20254584455734,50.46771393858855,48.28360523569678,53.013674589631336,52.15939645729444,46.81748540678818,49.60980701019013,53.774448168980754,50.25550526613813,48.39441908542198,52.05690356984478,52.90665350185477,48.90349190668348,48.77257985786288,44.32080789561279,45.41730977241373,47.31701488478272,44.809954453782694,45.70944529901935,46.56660130296584,43.8902272810794,41.65231027894473,41.59904619312394,40.43217982548967,36.981713218352084,36.35340422524794,35.739515676262705,32.77915569059397,31.440742587887822,35.15441968147477,33.295566298788145,28.679000655200788,31.921914480031315,35.43090395474074,36.424560408745606,39.807060184021545,40.13226527423274,44.32527293351624,42.282681531079966,38.21156068632579,42.758629997886054,44.25589444671428,41.250839751730034,41.57968966189178,47.240278603692076,45.92794164961677,41.86869077371629,45.21266190263181,49.281928219306515,47.29191576869427,44.06541752783217,39.55377388180121,43.46180177844995,39.469581977717375,38.13961355051237,33.723355369771106,33.00159446730104,28.347740287673123,29.84400115065748,32.66315698138105,36.37941549901615,37.44423852520995,37.36061161594684,33.9288275482513,36.59060066069924,32.55308693331271,29.778368797878763,32.083235491909804,32.18805789085339,30.984999539688836,27.48917858331931,26.915695866391808,25.255759472471723,22.954342767104528,21.713019691502133,23.213993437642106,21.743449518896387,21.926345382375793,22.60256673212467,23.29623647223186],[21.389838302573455,24.17044367951037,28.541949079802812,26.798490401999658,32.06696763787464,27.34420054596463,29.475563909383173,30.425304570853246,27.80348187628132,30.60578004564711,30.61744296227279,31.946691378172794,35.348625630679,32.87946366192227,36.11909187517557,38.75227782200081,39.440917740611994,43.100853685075954,46.03393539905366,49.09805102869265,52.28109073722173,56.493583522190676,57.227090598825164,56.97751153001338,54.197868280023144,50.016990704695544,48.81224183455756,44.73616395526911,44.276093857766895,42.95100944271916,43.341066982262866,43.22536479897267,44.81236214273846,48.99852248525829,48.53807163866337,48.00097137544374,47.5828073448531,49.9018116985088,50.63546526424033,56.51147065741532,54.069042165900385,54.07775435180294,58.41500004883752,58.893122489894814,60.80595379014696,60.5964504940214,64.61829207958631,63.22186540934391,59.650866144716346,64.20374036903037,65.69662940252037,64.82317471289784,66.54132607625168,61.16420965162472,65.016882110215,67.574722668285,63.67697711833556,61.87455644097582,66.56152554545245,67.0008149379517,62.52636138663136,62.20199165452684,59.280015894919764,61.1391849313342,59.940605567186765,56.15966241445737,52.473905556259744,48.8985994215189,45.828631282604526,42.311690836651074,41.55998170811476,42.30929289314725,44.32501863332444,49.000034912752575,48.07767355665929,53.585685213479636,54.39317097350279,56.205441401765654,56.58129208804381,58.67000522845722,57.00545394781031,58.012440266284564,54.86923357640861,56.88203383561993,54.49726324980304,52.180417505121795,53.71364136060461,52.91335220825496,52.293582472956615,53.24003386585768,50.313703763555395,51.56812378820372,47.591438160093524,45.12700141679698,41.105087718548496,39.3638097595449,35.944493658613816,39.21376980891148,37.00650527784519,36.8031646718613,41.621349843599916,41.40066577863163,45.130800626339585,44.03068263650723,48.915104144008836,44.53623711772759,46.70483462611272,47.28478281774893,43.13627857778755,41.601663358808636,37.53173413787759,38.930085603188346,34.914717739178585,37.05357254726016,36.174065769991884,37.7282944537725,40.07970154049285,41.75033580311628,44.211308371940284,41.176031518679444,38.49084236893453,35.65162350114946,35.429506443888855,33.75718613861974,31.72708962930531,35.72318516862485,33.91184918125586,38.45895984188307,40.87397289226521,45.08882236181531,45.79553259035657,49.47998906866668,51.227242634066045,50.80758267746891,48.368176177306516,44.42856025586797,43.228086718591236,41.718906219073475,40.374983311145904,42.66740499203439,44.59144764072363,48.85731613407703,47.11874696083964,44.98771427044617,47.65375559937778,44.78494067768064,42.35151963511524,40.34844347992756,39.72997247758173,35.615622027843855,35.966390237217034,32.580801455031036,35.51682589844459,31.013692928729046,32.84661425033382,36.34076560616431,36.53044573867478,38.63782038594659,40.30688774866454,42.11413983272347,43.94346558049488,46.12006429502921,46.3847630108899,50.30338006324479,51.90079283876394,50.19590976959076,52.60574733949814,54.68842206428786,52.06446392438614,48.62799649130676,48.50548868545803,46.24284199471262,49.135855263178,49.40983744804389,49.279889988236235,48.86329844938874,46.49459188341299,51.02636949507624,52.499467000385074,53.215733793140544,53.57417654189232,49.14923572179269,54.31425441790435,57.27864747872442,54.91404827912508,57.58887944437665,56.08930571399762,60.958482116542626,59.43185682284782,61.07616313646608,61.48568221201205,58.29225287230367,57.767149465353135,55.29005992138037,55.07578236196872,54.76948064020672,49.939651134438414,50.127839743348275,46.74451286590901,44.63791656028261,45.686930506535894,42.99857423904511,40.40845098652418,41.03977214942646,41.48826108568431,37.091997620244996,35.85945357953519,37.94314794718352,37.025636810621464,31.99371322910157,32.75357159703571,33.460404654465925,29.72251206069133,27.92622309055021,30.706877878868063,32.98943185686202,35.397090446209894,39.310228834257806,39.75992919882158,40.941862809690974,46.33452138901504,47.39988613322551,51.34644492584424,52.23844267231255,51.76526855821634,54.344106040404355,52.60023700018849,57.26116128492148,56.00362455980783,50.90376729216922,54.03094592839149,57.90700868434211,54.18424508025907,52.67450916427915,56.53103689552859,56.867008976718814,52.784510949006766,53.25161215786079,48.665675420474145,50.35021846239604,52.13982135409533,49.467658970472925,50.658693991357474,51.3298214070391,49.048073302936054,46.65500480916424,46.170625323118784,45.289870493412934,42.05838400209527,40.92500077851537,40.138583642396576,37.30479945827473,35.73305850227349,38.97473393663064,37.022813531234284,32.418602453696394,35.185917446231514,38.483248941795985,39.611486867704464,43.300459337345664,44.12449632428692,48.117602257646276,45.5306023618071,41.794229020942296,46.60532849929782,47.585519865692724,44.44092049322596,45.270707702010355,50.70979032513929,48.83566018539108,45.02906774847777,48.79086147534323,52.45242369231894,50.022440674257524,46.92719382278078,42.419459435899725,45.79730654147415,41.6523346055957,40.140668894371636,36.123532729167835,36.02552208846607,31.680446201201423,32.693687645454936,35.86440551173779,39.37231922946511,40.953704454020766,41.17345194278353,38.33888528697194,41.39475238746962,37.65236251664929,34.73827270539059,37.43322408440018,37.29772014746749,36.5325757498045,33.0092246753026,31.835491001608457,30.371396796465984,28.631425661444418,26.598538232848007,27.651430506972936,26.239020997466664,26.362482631824566,26.883202974175564,27.267358780284194],[16.42748766056478,19.531408287075372,23.920670780756456,23.242566802619667,28.25397956108277,23.159589465173113,25.698344441618648,26.21048902877162,24.3432238425293,27.89783472423361,28.151197823388756,28.836828134114846,32.54893759675051,30.90063305140328,34.116033564574835,36.34149062665957,37.297129632218066,41.30450266789231,44.7555945907583,47.30604308519647,50.850102402738145,54.78846354480238,55.89866600540407,55.73545530618751,52.63277568464136,48.635713375460774,46.90434269454094,42.70665280667793,41.993308104336336,40.20172020993246,41.26795900859143,40.292673153751245,42.02207808234567,46.49212304748349,45.81180401164064,45.56336946874421,44.522482497161505,47.272617395124385,47.9792158043385,53.51739408348294,51.593612144208656,51.939026415798146,56.142024740693046,56.66906274370059,58.929387094594766,58.709669132770124,62.676571439350795,60.991275029419654,57.23800675758987,61.624580986333754,62.94437489254612,61.806380399902764,63.580934020836025,58.2138019505929,61.909708627642246,64.84336013814102,61.1887534273047,59.253878812894754,63.98903112019681,64.77006935678172,60.50315404110728,60.30921213503528,57.40644532020672,59.718423155025356,58.36747985469579,54.31556495349681,51.24241649104351,47.42997392452608,44.91753441965141,41.30030868475012,40.97607664700442,42.26068278727326,43.74100430451671,48.318013509007216,46.779254286304706,52.29454126543746,52.615708274015255,54.208434397259005,54.263083094482084,56.170596794918715,54.0082515594654,54.84952598871317,51.268249209348454,53.210669402347165,51.121912936317,48.91664968585051,50.94176471070195,49.85633303019189,49.91972619165656,50.78098567395236,48.31088528517995,49.97079303509241,45.91586837198567,43.10233557167036,38.99979696389672,37.5763265868713,34.08370593642188,36.47226020385956,33.818339309611225,32.86906073141693,37.91813023476687,36.93952056424669,41.09856101439995,39.446271601083,44.311716061825024,39.85642864901821,41.619683126636254,42.3541254219035,38.21374821488007,36.63784644310494,32.81927515083173,34.78416345404612,31.084664629407175,33.798011642850526,33.53918462588356,35.51964744860886,38.13807661092411,40.2152232895912,43.124569587718376,39.74276928332309,37.32763970400256,34.14694881957326,33.97781809243097,31.720119006595066,29.053620414033237,32.69952572326539,29.959999984685332,34.56171962209564,36.57748294294657,40.685269214695744,41.469311392693164,44.849019463835305,47.002071839437875,46.39519259812022,44.45708236302468,40.759119456813806,39.65283552233986,38.67459020398212,37.893611514293276,40.18269327373262,42.86609104289618,47.133461243578495,45.29922537093221,42.786286510249866,45.21864336834928,42.17091177325986,39.68269454491607,37.242053916376705,36.08694412532441,31.853661825416356,31.493340079617738,28.155093725331312,30.558574986547693,26.010101412457946,28.49092521537071,31.974894932581545,32.58964633845082,34.25335054816614,36.53862063261627,37.93743491810351,40.30816510391778,42.89238645788357,43.51262518543601,47.22505384349794,48.834225544788154,47.490396645133835,49.44678181335958,51.82004664762045,48.99149335171021,45.75717229501484,45.25377818755359,43.12842109234131,45.71305696878296,45.76300993410101,45.57485378070464,44.82190436404534,42.802926425523495,46.97329979354786,48.717613300276994,49.104462134142956,49.7590601101842,44.937402949487236,50.124044141038894,53.218078789572,51.13792348090467,54.16042614961007,53.013385966828565,57.87611426415504,56.82009985116121,58.01731284949917,58.326198003506796,54.90369322456249,54.151036079216155,51.47687603175997,50.988409904564016,50.511355337155806,45.7442532378232,45.52544926636379,42.06136911285005,39.69194396057514,40.42172661367101,37.51826715587098,35.256137893377165,35.96157275952159,35.968802230874516,31.598990439153745,31.021722716675754,32.698805880030015,31.21451390761481,26.606219678101105,27.610730001904045,27.947820754488177,24.0027707659963,22.842815031394544,25.75717339960624,28.29842133744592,30.19039923335752,34.79735473914843,34.75380658262133,35.63133992433183,40.993654814825575,41.8773489439979,45.856172110256956,46.44961773177121,46.005042037369044,48.4695320677319,46.74215682698764,51.495084289403685,50.367074439734154,45.43043806884188,48.519826821748936,52.540953762125405,49.038556571952874,47.576561237546336,51.46315982550819,52.063986284843814,48.120580280808426,48.65648743866664,43.82692874642734,45.245049590600125,46.7648756501208,43.807389525695896,44.842036574207064,45.23334160184192,43.08027294444004,40.883651580138974,40.0768604027023,39.090592959712005,36.094307626101035,34.941610551919176,33.86380270650647,31.013217124904205,29.64638517089263,32.735231735451144,30.623066541699743,26.113759971911836,29.084056272048603,32.30728251570234,33.62697880649562,37.21534939354334,38.10086518103239,42.145789301931856,39.67318728545771,36.14822731091772,40.94830737291071,42.08048892138797,39.104868605251745,40.094085826283575,45.45351973913562,43.8809428062967,40.2963014714876,44.015078547411555,47.66347274315079,45.5489543009742,42.636199227630065,38.30663270036932,42.03191283597499,38.22804667410152,36.24786690140669,32.37533330393226,31.64953205974599,27.305994492801542,29.126717295127136,32.129528000733,35.78871204094401,37.11479924898971,36.72995141717203,34.000748791224915,36.8001559758121,33.34990588739402,29.928259710794368,32.144666361642855,31.6244204669177,30.89918138631514,27.844279926404162,26.334266909776915,24.532099803624202,23.483294004305233,21.456452322761127,21.847039737633914,20.078648836089002,20.148584430240007,20.762273304215544,21.246080837224675],[20.2978543591597,23.181852296406454,27.093995233525266,26.33989862679439,30.765277002196356,24.946519243611952,26.850248371461976,26.636019313970465,24.270194844428538,27.646631587783506,27.180152340739166,27.51875841681206,31.831633612392444,30.156758919665652,32.6936628041497,35.07436612513238,36.6133922733783,40.32503479124495,43.99874172878108,46.59646041430131,50.13334759902469,54.148580291984416,55.35059689916339,55.516857485876706,52.49434586909156,48.407063030834315,46.781596237727236,42.50480059599929,41.33252426447785,39.31988251258124,39.58478348625652,38.79213909192389,39.976791193711954,44.42741794291184,44.232805200357184,44.332563770771316,43.511065807064995,46.682086857682464,47.787567372198346,53.40090551325394,51.741598509579084,51.621438955526266,55.7546273386786,56.65879172589597,59.03186041932142,59.177539805607104,63.09103579918696,61.14526343987384,57.73424858981115,62.296694626451334,63.255880964381774,62.072321947958336,63.53975625675538,58.136894665824194,61.46493168092296,64.3875474418129,60.79440459561274,58.47690593119973,63.09455361347925,64.14115934428142,59.66121480600517,59.02840823199919,55.880002642282165,58.301060004348216,57.30166843538402,53.23271371068611,50.08426412750584,46.11624205271707,43.71526736595219,39.814702561817995,39.671852134282275,40.664311699991885,41.9080544872245,46.658048084232654,44.99802458624552,50.2105805236163,50.960852414415164,52.227523401168355,52.648339585640976,54.890964730729664,52.87216881484046,54.18573906970023,50.58797062151638,52.98548414814641,51.09521921256103,48.461077015216624,50.20871083572156,48.73237512619838,48.66673792043261,48.940788519633294,46.402710882287764,47.65086666456977,43.55907083129601,40.706326456087154,36.91430502631244,35.07062692975497,31.959116000866192,34.411273782177,32.055958591458456,31.004301016683122,36.45512528718229,36.03643620060752,40.30559079994073,39.26386004858631,44.54447007495554,40.517406682467225,42.55903105163612,43.74367358782161,39.868960650863464,37.75544009941427,34.21186906054704,35.78235149866002,31.851826680921075,34.67397303755961,33.83484082154915,36.131579040012106,38.288112366313776,40.69347540753948,42.94963485275415,39.25712371236773,37.09806636429922,34.04845650634547,34.595984928541085,32.48721684821126,29.995017170227023,34.09939385726981,31.737525613703063,36.13809461794042,38.285672164053224,42.03833263409763,43.47056276471536,46.71595804888292,48.801617844738004,47.69736810070321,46.084483989043825,42.24619724089219,41.80897812013262,40.44005974693881,39.51665413649234,41.386133633597574,44.09304471204773,48.062425893775355,45.796985095812026,43.388664512383066,45.57183494603785,42.1705862698197,39.97877483858507,37.30918253273461,36.33434931699109,31.971940387440622,31.73069868755848,27.783621862495785,29.928409300598357,24.826769922926122,26.902705618860992,30.7902986852909,31.695226555305588,33.87017475979676,36.00285274108828,38.157760820840856,40.868438880722124,42.953364085768975,44.15890532804814,47.59662455437997,49.77849217014575,48.85390310440273,51.02173815635195,53.65298071333614,51.09737456555027,47.7101001512823,47.06390450164296,44.59058429024853,46.754629864047224,46.45137919220885,45.83663629419986,44.82272069236029,42.39441012937351,46.44861078496322,48.57717670779187,49.154013370470544,50.28338472579677,45.640062773302766,51.10434506042495,54.339499634119456,52.25714121075546,54.88321521735096,53.44583637927253,58.53769271455823,57.75489532355812,59.129515836710084,59.757758369390466,56.23220883128198,55.850564873677534,53.33066812464299,52.97976789386115,52.80974976309462,48.13203202341019,47.94599382693415,44.764918263661365,41.99787278254835,43.01705311784228,39.73938303747227,37.557256806712765,38.88073394583446,38.76305544053214,34.222707826206644,34.265149632097945,36.046444408884945,34.10292313998206,29.807795000509607,31.28142387137001,31.558344999081324,27.32121550868406,26.68963407677759,29.96088123204806,32.49921906484763,34.24541726840535,39.09945866085959,38.67026196545325,39.46747373988202,44.75223535821632,45.56661350066513,49.46822076896679,49.66622104370426,49.0621090386728,51.23019313458857,49.19943762786798,54.07553875521869,53.33684189578859,48.346305214478804,51.13716219894145,55.459395210803095,52.20844490841651,50.49533065761423,54.21395450721081,55.302195351025034,51.45308763664789,51.50334061516118,46.766477301761476,47.540738006982465,49.06927202166354,46.11824141634951,46.69870394627798,46.96974476056464,44.46132984948947,42.72037601691081,42.04131634439218,40.51113743247869,37.60667586001737,37.063150268324115,35.71193248199111,32.676452853204225,31.92427965874831,35.13388440553604,32.741982784533256,28.477032838683666,32.00478097198263,35.147620379100964,36.69427056352596,40.0020414260495,40.66718321458059,44.88543900350616,42.81873012745699,39.3253013518554,43.93449261660937,45.46223267616199,42.66775259513455,43.44138339266848,48.882656973365854,47.73059662739776,44.09981493570315,47.546331227330036,51.42315156383191,49.61385067851591,46.675777083286775,42.37507379588459,46.37891642697843,42.65696211974611,40.74760217548804,36.717659981416,35.627525905476325,31.118621148111867,33.22696698670341,36.01661363561828,39.78884206003272,40.78607875442372,40.17434471883581,36.969332599239216,39.3604699217388,35.607358125299015,32.311678770008704,33.872518942730295,33.42489864117964,32.02262866056789,29.375248773094743,28.507096615047868,26.13029542358272,24.75293313013228,23.86812465731473,24.327288669947066,21.990271514667093,21.768091172590537,22.23837591379869,22.707104369246238],[23.409168930386638,26.517200965318384,30.742831441569166,30.002684170301794,34.74118701318432,29.16930742195763,31.208109590625337,31.128535312070035,28.74218085403866,32.0148382412468,31.494735856088937,31.911194991815382,36.2225637182589,34.36876197884037,36.865064739476594,39.35168068867907,40.87450544664088,44.48767169130368,48.02936809881471,50.776559018387935,54.21519077651164,58.31261201913981,59.41209298734219,59.55066300154871,56.62075946788056,52.47719144628421,50.99454468848942,46.74566304444555,45.62916688470457,43.69417623453566,43.728025276342954,43.11607611254551,44.15832732266336,48.55704869159622,48.50771582425236,48.61522230307681,47.9155504811945,51.05285315383711,52.17010360963104,57.8412841222854,56.080336835098436,55.89869255055681,60.063528795269015,60.95382708681218,63.23868770119654,63.36055277739141,67.29567595649125,65.43705159527212,62.039495115579406,66.62070928397682,67.64508546679924,66.50331689553146,67.9745917667384,62.56893501318664,65.91353207454503,68.7821452032295,65.14707101465652,62.83362595034897,67.43302795143032,68.43414273866038,63.89326186075944,63.18342059971845,59.99420039172127,62.31408715193064,61.40146374939322,57.400814947927536,54.076250598220994,50.15954999648608,47.59798059592557,43.69693017803687,43.42799727061326,44.17962557887459,45.590445031178646,50.40405369785595,48.92053169097497,54.06084838997876,55.03106558543578,56.27629644410342,56.84098721902783,59.17168677356357,57.24722538700026,58.630700845939614,55.06731836769452,57.49391111309414,55.579852562295876,52.92901206806854,54.596002810873095,53.1190109011923,52.932014980738,53.11275765817068,50.47627977598219,51.52241421048175,47.445086494303695,44.66262861347472,40.98261163162783,38.95574710445547,35.97373005296692,38.5976994524945,36.3674554052963,35.29653016955228,40.839674035544945,40.47956587768176,44.78797448735083,43.75898301619414,49.038387368010255,44.97841401975128,46.92816185516751,48.06389981896625,44.12636669198172,42.12020137804062,38.55163200831705,40.21453538836335,36.29613004628049,39.04513277864402,38.16765583766037,40.33862494151055,42.48144545632175,44.74636684581345,46.91661840615449,43.33326792461878,41.08002883203111,38.12334553327256,38.584810245612424,36.61472446915445,34.234008052077556,38.330596509482135,35.97799526628798,40.44063763914837,42.56983663775154,46.411539788109586,47.6775016874585,50.950724140030374,53.075852650068306,52.08508007972889,50.39410539010328,46.56589088992173,45.92971524439251,44.603857109272596,43.60412080070593,45.57585037480245,48.09152263370417,52.1250733112584,49.94060691893656,47.61353901783621,49.88020474414439,46.534483140880894,44.33142927958988,41.7488649958043,40.825002720380326,36.474524334977914,36.23614109160548,32.29742891077432,34.33437918145699,29.123177589169384,31.245060544027307,35.209612059131885,36.179788437140616,38.3786893274862,40.50779395284032,42.67319256916076,45.3355986292788,47.41487541123242,48.52038835798736,52.022889784818354,54.13780148188518,53.071939309428885,55.27371717128481,57.7926603105943,55.18558273264749,51.806502532985284,51.26216282758207,48.85275920075351,51.14487637239254,50.91237851446231,50.33770337477945,49.344615848310994,46.899120301362174,50.95067516640588,53.0913879205324,53.674323473463446,54.77310250514496,50.12150833533832,55.5531353017763,58.766706659549776,56.671591775136115,59.327018729493645,57.873019012269125,62.94667219902779,62.0463682134719,63.47283303668563,64.05425598098736,60.57639498729965,60.13224017329504,57.5822734945084,57.200058963083265,56.92393116962847,52.20949436490536,51.988743696957776,48.670129703193524,46.03854257674636,46.84715775937134,43.66871443280299,41.556748390128874,42.59455681122083,42.38066430720293,37.96331595529604,37.83939854541034,39.40609610953053,37.472858716404204,33.24120545079985,34.41787695991179,34.48092068325676,30.43784045966654,29.70118278389607,32.517226092674804,35.21623461032319,36.69621109585632,41.704781391664206,41.547414524800146,42.16279683804063,47.48641401268401,48.027838716705716,52.17863065285573,52.575072150444555,52.23377380232553,54.55065324994252,52.77061526626335,57.62903846055022,56.69951022179973,51.880481560205666,54.83973824992283,59.03562902257949,55.71137334999568,54.190046964133565,58.01146114711737,58.867480832995014,54.98919617562087,55.34934557312924,50.52063345123086,51.55016632442792,52.99269070092747,49.91199130496848,50.59201509644167,50.68878657928799,48.39644499726243,46.65283219089255,45.68320417958715,44.240712218536146,41.52723725597803,40.752480450795844,39.21597873997887,36.246390500130964,35.4579299862367,38.3390743793981,35.82189576281257,31.64443698356186,34.93598257787586,37.891625764162406,39.596161187334005,43.05038089378149,44.030013123353264,48.139572245050196,45.78087114594396,42.55142838550252,47.30351680050838,48.560502928203086,45.7193789028078,46.8082809840286,52.10966002175444,50.6756539946002,47.22451782004423,50.903153963235816,54.54954648738616,52.52246880443088,49.67938654387338,45.391193512650275,49.12300981775154,45.33202716974521,43.276769270937976,39.48605617970946,38.70045099264303,34.34774176541851,36.23778574896296,39.219242764738354,42.89921204240342,44.16260637460902,43.67660487346375,40.76564093305255,43.338672776538445,39.714880359721256,36.33422619174394,38.037440688568736,37.43715526307677,36.2120739975253,33.616497558180065,32.46102464879351,30.127839386424718,29.05317373579214,27.821402572347658,28.01608008897396,25.65225707544033,25.334991290368652,25.67879821316268,25.940788652873955],[21.09347046333456,24.42402620301784,28.902231730779267,28.642263374539652,33.602313470304736,28.380004760454568,30.88661835598256,31.006361740647662,29.144081004164377,32.74135877883126,32.63375149640939,32.988880467027016,37.13666585637031,35.55000898683192,38.35732770677217,40.64798547100165,41.978694836085566,45.84142484288046,49.42087162790857,51.99837935953673,55.54473299634482,59.52603393608777,60.684165888635,60.6659136951126,57.608284542576534,53.568232397652004,51.87980956862128,47.63876633330265,46.67656650375686,44.69985449355152,45.33152742729991,44.34442345276851,45.677461241182925,50.19026714399212,49.8479112444941,49.89144581362372,48.8745360009154,51.954313878865634,52.85833751891532,58.37359773852716,56.64604347737818,56.81375575688548,60.97184984472987,61.67969687782412,64.00769128728508,63.92302391937224,67.86991307344016,66.06988143533208,62.42913400292376,66.85327033972257,68.02577572679276,66.8146188002558,68.47403529492932,63.09066774331162,66.5730973323056,69.57394045043193,65.9924925403599,63.83206003576119,68.50463482845562,69.48155997747084,65.1143381332628,64.66655048278486,61.6034409654172,64.0112104425027,62.87595104388062,58.799745213929,55.68723438508329,51.77790458425656,49.31845245133856,45.5221179172185,45.2784174874583,46.31257597045102,47.70129506183534,52.415452250826554,50.81226330851918,56.10466050575016,56.726578658840815,58.05424994992678,58.34357114897309,60.457208965178985,58.289050365206506,59.3842028703829,55.667103057626925,57.83406059616865,55.93215079439408,53.546585839269085,55.520210586610425,54.13347382382576,54.24228981703014,54.668110006164966,52.21309246855893,53.57617064737822,49.48612817282576,46.59980492230793,42.75101292636937,41.006394860040245,37.8260950098644,40.13470000569123,37.612716599228634,36.276744187080304,41.758463702195044,40.831487420522585,45.274583286375126,43.72588697876995,48.77607210166973,44.47871239632359,46.08753161455156,47.04582892954564,42.97783320068786,41.263220402436374,37.680976834160404,39.78455965858974,36.126515295092496,39.007092115124465,38.63297575637698,40.760906369160395,43.224042073187285,45.42140405527883,48.05711410474176,44.54627084838574,42.23635019949428,39.11913128210294,39.21315011786211,37.00872319039174,34.36161400186319,38.084759923903896,35.21688581566681,39.786445232075096,41.67090458958631,45.65481907250258,46.5659265923469,49.7759759571643,52.10474433955024,51.33252564863359,49.65718368544388,46.01658213914142,45.02043929411681,44.11541852546272,43.37643538664553,45.58154794391697,48.29105424388616,52.48746475408972,50.51953198761839,48.029574303676725,50.35619082396687,47.14532650294162,44.774767465766146,42.17162857364339,40.971274496006124,36.6547247470409,36.07733599885501,32.44963334566208,34.3390110555726,29.31885570451295,31.92255313908926,35.72703862403918,36.758459120283405,38.538597409050624,40.98605619585577,42.62190903894438,45.30955111578834,47.79080561200458,48.70481434264923,52.28030382991454,54.090415472293365,52.89723609617772,54.82291819795454,57.276041393987946,54.43784641601112,51.22956211937695,50.64840211720117,48.49609451942888,50.91789250749383,50.80119014707582,50.43327738705821,49.44407542622813,47.33986303869074,51.2996631519373,53.36018492765141,53.715810872740086,54.68707959299553,49.785476675899595,55.06146251514538,58.24227550438078,56.26104222899772,59.260421388960516,58.0881493314241,63.026503211343496,62.13012796788686,63.30755422883506,63.66459025634423,60.17725290873979,59.43375662155116,56.724190385529496,56.15322676828111,55.61371009655718,50.8864983403536,50.47275312263325,46.94332178606628,44.474576864561534,44.91013454295213,41.88506402816826,39.92059777729783,40.562462470806466,40.1773830545075,35.949898561700685,35.742602293927675,36.96840159571562,35.02802288787946,30.928705711400653,31.83421995587667,31.65159544372109,27.814317868147498,27.090943539502337,29.50490892018772,32.35824904304927,33.516751170575105,38.72890627565966,38.68429344744331,39.110636407838676,44.430505892963765,44.81947874234381,49.09156951755681,49.649385473827664,49.525445361843865,51.99854506907052,50.49836606360659,55.30551843434962,54.15363355059455,49.53229625902491,52.68476390963193,56.71681957565163,53.34097611596065,52.05784583407568,56.001557420069446,56.615642990153276,52.756190299419146,53.52056103577968,48.534212597023476,49.8742680667935,51.15708062883067,47.91068340789557,48.78860895859009,48.74660188414579,46.78608444457702,44.91190158890431,43.61584627177173,42.43697758248342,39.88024676100831,38.710474828946396,37.095645360713625,34.25445019402368,33.26752867707463,35.840910586987,33.33772230435139,29.17551865753343,32.15200562625783,34.98752125832584,36.7384266191162,40.328521398212516,41.585249111902534,45.55792996654696,42.92493886344351,39.92562941371283,44.79689029715913,45.79006072541675,42.931876787892925,44.33356258410035,49.458923579750646,47.819712745832945,44.59808805210537,48.47174618575241,51.86966343578815,49.73215185376215,47.04472122270419,42.860296250342685,46.43740851117825,42.742329482496395,40.41148522773988,36.915397542537285,36.20414751160601,32.0701161500009,34.0203116109418,37.085892903492216,40.684930946283984,42.11763829542373,41.55550493619918,39.07159620572276,41.78826995010147,38.506944260387996,34.86078294198686,36.70854037799786,35.85103000742139,35.04543751272182,32.50304824431963,30.797172187840726,28.613536272219324,28.14141977441736,26.28509706222774,26.0343982503004,23.76965180993011,23.534826182849294,23.92660841506324,24.141381978635525],[20.768032344940547,24.283963676468634,28.773390827740265,29.30317783328418,34.1237949866368,28.980726431176652,31.765684290693745,31.653318740127954,30.34861965892585,34.29893422734559,34.32785046589383,34.2937432456814,38.575687322196565,37.44920510680177,40.198771335534175,42.24749521532883,43.71263998011799,47.72104441687523,51.52542366839815,53.83052756247886,57.53746776268684,61.35740389286393,62.697717966408305,62.699660255814756,59.49606111245521,55.57385027422584,53.62765242196066,49.3630812542267,48.291218172676764,46.07117227443533,47.04888886665658,45.5825076823918,46.936976896039454,51.58176559384906,51.155062440122144,51.38711908143081,50.01471917981659,53.33146282509354,54.19861933963368,59.472060260613254,58.039759679695194,58.41915226954577,62.481111866625554,63.19055169427501,65.68117939919048,65.55407266057848,69.4573206306088,67.53938048690807,63.78665497802614,68.06913073692773,69.17165609231823,67.8146984923562,69.52375065982845,64.17985271013629,67.55693512299457,70.77411157494274,67.35247407425065,65.135155681617,69.81102750067056,70.9792406702469,66.74881759776132,66.3731990731736,63.328977766979676,65.96453366009725,64.76264195272365,60.567482227369986,57.783476348314885,53.77703076781963,51.60096914906653,47.78031774438552,47.73329980450063,48.981756663288216,50.127735623153356,54.776299979226465,52.88492228858135,58.128051393393235,58.523239148143254,59.69793885624517,59.831123456410126,61.84422544089001,59.391004108122615,60.38427274909204,56.402022354184716,58.50147798382355,56.801943335939626,54.52207680588072,56.78659868413784,55.22730036826535,55.74132326177087,56.07851677326337,53.89739214462805,55.43262796522463,51.32429652618292,48.26347384831799,44.442626347325074,42.840679850983264,39.70301672374679,41.48388981840514,38.7475205146961,36.885081355703015,42.5131953901453,41.07032706657149,45.79790078234218,43.85650627708591,48.82572553960218,44.4922207718721,45.703768297917954,46.72431100751924,42.6774795584859,41.04255261296286,37.700546022159315,40.2430148238773,36.891557926407806,40.06609338308985,40.10311261914065,42.397175658513945,45.01077093121576,47.35265670877748,50.233149653696685,46.604257958046986,44.42364504191687,41.17418916010719,41.22746109977832,38.762903829413865,35.818771507191904,39.221779411808456,35.77641785836624,40.32906795411407,41.87744971089046,45.78497953730252,46.61236260952773,49.5727406429338,52.20279383912381,51.39303344151948,50.04154517785138,46.63331716478638,45.56949041417575,45.0854552414865,44.69381549605188,46.94331987977201,50.0063540025787,54.216661472499034,52.26952642181078,49.594563209390806,51.801913807802016,48.548216907322136,46.15069979831253,43.342473744207624,41.81505548914019,37.49729749686775,36.421588200056654,32.908561608929745,34.28119834256766,29.246335184664865,32.31670275177698,36.10056677368274,37.46672415308432,38.90582329435777,41.76300079444359,43.07652979506343,46.076550343803355,48.82384773481358,49.89226293268491,53.33958616817313,55.07635568080795,54.03860419176712,55.64500591302583,58.19448311444524,55.19685845785984,52.17672364196289,51.408822280564955,49.431237075134014,51.704876924952416,51.48884255381649,51.12231507751511,49.922534118397564,48.09211291022381,51.753787540953034,53.98732375551255,54.10073361661321,55.241813781410784,50.09034231260869,55.296174184857456,58.52295168040777,56.75671872851862,60.01234666684004,59.10102137934449,63.97597084128588,63.326478308344214,64.20878904999161,64.44706740554625,60.86305018056406,59.90595750383327,57.05388150649087,56.263257583244574,55.52066939095339,50.86785639452193,50.13091385926135,46.487726626905065,43.96686615210916,43.98894843329898,40.92657509765983,39.31079970158689,39.77877751577104,38.97814654770101,34.967615527079964,35.156905642936465,35.86054091080985,33.51017450707594,29.9509179888742,30.784585374777315,30.11688100785891,26.41335056585375,26.189734640366048,28.21115148905961,31.311821250894067,31.776040174913014,37.548711429661864,37.33442163475284,37.353499127590716,42.58336432594603,42.60645525508304,47.04414273392787,47.51086218093528,47.625287944439364,50.09895481811471,48.82957586999094,53.638790639669345,52.449348801253045,48.14674247866245,51.36262067622729,55.36170025283088,52.13337552843255,51.05348137243125,55.05575901434312,55.679144969919626,51.946679663307584,52.99342081772025,47.81962166718057,49.13826717177821,50.13142405243919,46.60733954513581,47.4306217562841,47.03192465725343,45.3693902064306,43.673998511585886,41.90631823305464,40.729908510536454,38.56155339217197,37.21729905058232,35.234360015623906,32.49093695090447,31.687991819133224,33.790279960206036,31.08604986043389,27.202479800440933,30.080459713446533,32.61320020674926,34.63489836886243,38.193953668593416,39.742649570358914,43.60808341399974,40.86696823875151,38.314598074247144,43.20579333620825,44.086336356895025,41.372629035647556,43.12839860332091,48.001805187109454,46.396308975998366,43.54270379283874,47.50192417055197,50.66238893404721,48.62333795416133,46.19064194472393,42.22697799644146,45.78648755460271,42.36277734660207,39.61512654771284,36.50035326798882,35.57133582291919,31.691856234340044,34.009211933217415,37.00997538339143,40.56158765445632,41.97801488871332,41.07382907958925,38.94504698305337,41.547463249323485,38.64567765475599,34.655458560811944,36.18866821745252,34.929080773498995,34.30819752153552,32.24989700671843,30.121971324322303,27.75412048819001,28.07650047661428,26.089504345161874,25.099725790373686,22.556559439249472,22.170666571596673,22.473206247483464,22.562850824250237],[18.36494841499568,21.960231455815148,26.651795958348963,27.36288176717023,32.42723522394293,27.85582727222831,31.00186930107779,31.309596955843563,30.364224918710413,34.393431562947924,34.85843800626229,35.013869170151374,38.902121013669074,37.83529969378161,40.9749864216221,42.901432338673054,44.00488218898433,48.189665229928124,51.86036747032877,54.0990853449177,57.81270910456497,61.555286303717054,62.84866222307565,62.6414252620236,59.385015389344204,55.54967174649877,53.51810745821378,49.32478572196598,48.5366631907032,46.449955779723936,47.95319206932034,46.35354237794862,48.06003753680536,52.711748079502016,51.96070723586793,51.97391214945101,50.44768424748252,53.49232925264692,54.09312511103595,59.278581671305176,57.7047565866918,58.39811731185549,62.48252782698207,62.944066761510875,65.36721371140894,64.99886706626761,68.91786511497489,67.16543096937619,63.19461269081083,67.32863611441617,68.65949114834666,67.3214137692867,69.23505282133227,63.94583339861902,67.54399779718825,70.76738650682272,67.33050500530291,65.37230126652315,70.11172989231852,71.11188654147365,67.04671832126537,66.96937270155267,64.09443033970003,66.66888361181057,65.23272345526219,61.049214347051524,58.35139337478948,54.44602343041253,52.231604490138565,48.60035766656821,48.46114676835069,49.91276321562038,51.17919097627455,55.69893415762621,53.86415253148205,59.29250389212087,59.38762722595943,60.7687216069825,60.64854220256238,62.4286366501586,59.87219171272855,60.54354214136233,56.5744421080681,58.358669679377,56.5454512520442,54.563170155713095,57.018065461504776,55.711962649208026,56.329170972154564,57.050412069381935,54.930827937040235,56.74721214065101,52.66613148994111,49.628531081189564,45.6126761508606,44.29215382179135,40.920615761965145,42.63589669175467,39.71307723697031,37.92556694554022,43.26339865593216,41.458979087765734,46.08672641307438,43.74434983597136,48.40945022068508,43.81473574442352,44.810030226650234,45.52197516214914,41.33527891363588,40.07974542781211,36.61114310608748,39.4151742154068,36.2727678591015,39.36955332739822,39.801924779497064,41.89986741518878,44.78825204563919,46.92971553294598,50.2231136245955,46.788323208448226,44.47826978844205,41.15862224848915,40.78328552503825,38.22466188844275,35.18046952193235,38.21886622525993,34.51438199500131,39.13660455924388,40.55401578081897,44.64756801028042,45.034847905821096,48.037712212392385,50.71942406858928,50.24114784358311,48.71086135517268,45.44398736897504,43.953406152080156,43.77190793413264,43.51619132625199,46.00911492889799,49.07554948545824,53.441848854828834,51.780884627142555,49.03685808702702,51.37436048148612,48.35825199283773,45.788860194151624,43.12787332640168,41.475992835881826,37.27963056639747,36.11096840781655,33.02828384425473,34.546435874858346,29.925813961465465,33.20635470130569,36.708510200347355,37.88005120224498,38.971183641610025,41.91836216573237,42.72013924136805,45.49990256934714,48.56485028111666,49.26680620403931,52.85715350442057,54.20227911827455,52.92554557055612,54.35235009270197,56.73021303548658,53.558629716843335,50.67805893449237,49.987040278678556,48.266561183414964,50.77734776545963,50.78455283540711,50.69776371556991,49.66341586674766,48.123504379306446,51.83009279133897,53.80632000958281,53.78401308325967,54.61336856813467,49.36049361057054,54.34620211969201,57.46456671522819,55.725402521314685,59.24279828489994,58.548429485382044,63.24379615720186,62.44452857935658,63.18061848225449,63.20054287657682,59.694315463699596,58.475451810365946,55.524882360261934,54.628222780900536,53.66859294604644,48.99375174576723,48.209981629738834,44.39524059357957,42.15812808260644,41.94877815621902,39.16605762395786,37.54364974132745,37.57064253057007,36.82164899106938,32.99738478496955,32.80769360899365,33.36136778373368,31.31574575736003,27.653402190599945,28.12880930689552,27.435925736064632,24.02637577041036,23.514096366197666,25.147226813897902,28.266563942595464,28.71756118894757,34.34890213129932,34.38618779534707,34.41400302407408,39.663160837756664,39.71835836234575,44.19819604227036,44.92966187007127,45.17156175912772,47.841824443962935,46.801609245819016,51.496936289783825,50.042297619287275,45.81973987978775,49.22564551872211,52.99487120742145,49.620160378453654,48.734879326892674,52.838352481014645,53.12746696523829,49.358369883765924,50.755185511295196,45.53113788872046,47.27550485693616,48.23391744203478,44.71275600232171,45.84183917227019,45.52212373888128,44.126649328689076,42.133266978826484,40.269942519263765,39.49101042577512,37.292268808374736,35.525913722935464,33.74085626542551,31.167746436541762,29.946299349840416,31.90374767990674,29.42647154887907,25.429152667865587,27.846947439392736,30.390788441105332,32.24419043873327,35.97793709524374,37.69111316838917,41.399476837802304,38.37795381740605,35.856462668962685,40.84812810527001,41.435615117024206,38.62236563164318,40.55199960293804,45.316522088299976,43.42868684163333,40.66437392644305,44.79372720431146,47.7569540223724,45.52966655851146,43.15821844592668,39.232718899958435,42.57848143464842,39.165310864148246,36.3219101096847,33.410574187709294,32.70451847857242,29.037965938429338,31.192675122966197,34.28198517268447,37.70807799382277,39.32230790571893,38.53342660135292,36.794584983811,39.620867977631995,36.996042183191385,32.940904686848455,34.85333023639019,33.52629529057829,33.4002913078688,31.127326163180978,28.56515781921028,26.620662409441483,27.20778356894555,24.535953220497838,23.417261566540706,21.312804071863823,21.155706252798126,21.504233198487785,21.577087203683625],[22.049483146305754,25.67337536465953,30.369998541158672,31.342868888969925,36.386584677874374,31.88603270778911,35.05858307594581,35.228699833654815,34.3472648449543,38.411587872035845,38.75744235318287,38.76470941200836,42.822073396632625,41.80342154093309,44.79140519077155,46.726521506207085,47.97625962587854,52.119775990652606,55.847021088384146,58.08277945112155,61.80693923841153,65.55431660983781,66.87874162613961,66.71462068478827,63.463206577437006,59.61691964333628,57.585699495268514,53.37759890023734,52.50076834239646,50.32562452502029,51.69063173823846,50.04144700648819,51.581757347307374,56.26088291107802,55.64474877896855,55.79598503511305,54.237438213852265,57.430566091952066,58.09387630170552,63.23279074517427,61.75828722219884,62.42401748114361,66.48201268857902,66.99776010311507,69.45240683133608,69.11019310568824,73.01705111569875,71.22966441275346,67.2746804494692,71.39032040215592,72.67592354032269,71.29727138448129,73.18427553791781,67.89472287187301,71.40825539372105,74.69026434527474,71.29864142051646,69.2545453604337,73.97145990756738,75.06917638040865,70.98152157968742,70.81552905507145,67.87968621663204,70.50712309449112,69.15202769163481,64.95276118632485,62.26090258663043,58.31343891095239,56.12652007870957,52.423749784687836,52.314879113097604,53.66660314932307,54.90166500864422,59.47867737038319,57.60952680754104,62.939767396734894,63.14599142645906,64.40103846165387,64.36488123116442,66.21571511905296,63.61950572434144,64.37107758745786,60.30762613243657,62.160672707137046,60.446992508771466,58.42555976988459,60.90381420964172,59.46101331363926,60.14664263927008,60.67853764009388,58.59438974655656,60.294662616676156,56.199077242829325,53.11860325599101,49.21860687392789,47.770084486196126,44.538037960477126,46.177369052395605,43.29344170514394,41.28189990966751,46.80423096446242,44.93571718258584,49.71600349134435,47.33741102360238,52.02836923344628,47.48863436641975,48.307022676315526,49.08849584233923,44.93961118671732,43.69811313378337,40.37899052934481,43.319884042101684,40.2603839124363,43.43391262211637,43.884136414624,46.02812721947731,48.888152966023746,51.05988933697508,54.29010930698276,50.81490581539147,48.53381092961287,45.232630554975394,44.916410831565976,42.368545161296886,39.315669945863945,42.32519873116388,38.508337760545686,43.098221256770714,44.389343207649375,48.43103685162335,48.78645341096478,51.66494093861304,54.478657363100446,53.9775461089108,52.59205063705943,49.40939951053532,47.88417821333066,47.82769688862239,47.63227319231764,50.13241403990838,53.22196496751025,57.585861442399526,55.90804631984759,53.156736063150724,55.45879348606707,52.39638126202937,49.85817318784165,47.12964350206598,45.4186883607657,41.207461467738916,39.88863416547015,36.741332401226,37.95751702377884,33.18477691967927,36.57057023249003,40.17687504691283,41.561458640193415,42.63625404198006,45.7036719670475,46.52653642308939,49.452372913011985,52.53058212232614,53.33223278107846,56.864731686369296,58.2356869237704,56.999161361602376,58.35033942431129,60.72970384406485,57.51121877930437,54.697995555721775,53.97534192258335,52.31299866805164,54.77018640578052,54.72158981285123,54.587596672019295,53.436969129776,51.92495858284995,55.48999362710057,57.61009445835901,57.522606337839804,58.481574861122745,53.15848379105172,58.1304355099349,61.271967525376475,59.61822800483339,63.19443506589179,62.54954132784205,67.24120229416086,66.51724105639131,67.18932368082567,67.17716019934514,63.64595168891189,62.36026658391722,59.3615259749479,58.37442672253358,57.30703913332253,52.67747719173715,51.739620152646374,47.85284716866163,45.6397561255492,45.15612799755083,42.394575617302486,40.99612990676962,40.857313361188176,39.8505972170719,36.233276249672684,36.20085821793678,36.388328836747355,34.13496882640789,30.880824608204005,31.180614690737304,30.123560165050684,26.973358796738175,26.69519451523609,27.826337028021648,31.08778807647279,30.966205260327456,36.904671528326396,37.01411198606591,36.69112579858122,41.828424786618136,41.453533010746,46.15405126643237,46.94709225951609,47.47990669716187,50.18996692293531,49.41458746605451,54.07675916473776,52.52901189200368,48.61668229932517,52.1015687253879,55.778511998358475,52.48262891657504,51.80018238511676,55.946635730233844,56.144957882268166,52.45568940295113,54.116589128489984,48.79911541494866,50.596197768527176,51.36179072119586,47.65435693458582,48.748308912935606,48.119098752317235,46.97359257966144,45.15091951990802,42.91085536608887,42.11698822192778,40.26410095902758,38.386759749871935,36.28935276290965,33.82398579238075,32.78497802217578,34.26775432990661,31.613578966271692,27.965343011902927,30.171605461546832,32.341982591242605,34.44549229364258,38.165138922233595,40.194824958169626,43.7455114191421,40.54974369682706,38.48833613228712,43.49367551712817,43.87441257512384,41.16131728921631,43.43435422631636,47.931247017433215,45.93042627100354,43.503742855657975,47.75671693887527,50.443275492308885,48.163411311022095,46.006059900017,42.24392953169085,45.37753270614262,42.09013750008818,38.99595229493374,36.462450961941265,35.84348038785653,32.43916121420375,34.590959283770886,37.70776247082369,41.02048281871647,42.7492982996945,41.874667451322544,40.42602212186154,43.23382535083405,40.81252114905212,36.62811054517718,38.37858987815242,36.825318596046515,36.763112877382035,34.80287179765906,32.06299167503485,30.00342556779947,30.98659290790617,28.31722438335967,26.81581047241595,24.561058960141768,24.192156781606126,24.38593128821844,24.26299568823012],[23.51411249067481,27.043234893688656,31.74489176904267,31.963183792381464,37.10638882356752,32.27435703311511,35.10075505292132,35.297394772376634,33.79001669706629,37.541187301540624,37.58101830624882,37.83151271664949,41.97008815243514,40.51862538343976,43.386280237379324,45.59452838365049,46.89252266230615,50.83228817266735,54.41587103563271,56.93579209830164,60.51312689135549,64.4483329138347,65.62404601569766,65.53084964041604,62.43657543891793,58.43886185807161,56.6808682633718,52.457437685863894,51.55294165740582,49.528256626854294,50.342444060611214,49.17353794509828,50.524053466947166,55.09192096472278,54.71071584848938,54.8020258662484,53.624975579291544,56.74252615773824,57.55813765254786,62.96344955868468,61.281218569521776,61.61902013544013,65.76037856701059,66.38339736167931,68.71847662633913,68.51460986521356,72.46165809014833,70.71307364852878,66.94817487604745,71.26268170371128,72.51643333329213,71.26108736158113,73.0167720296712,67.6603102895001,71.17078828788637,74.26137219584757,70.72865039917137,68.61519900668557,73.3040504731489,74.30713763728875,70.01428673488672,69.64293263267324,66.60754590588971,69.0549195997999,67.87215171432781,63.7745871538578,60.737733265390645,56.830099996978156,54.396312746213916,50.62772843050868,50.377023083768165,51.42615545635224,52.837570644431096,57.53743196002977,55.90884989374968,61.19377535871549,61.756779820968454,63.0471164940728,63.27689421826058,65.33341568039344,63.03512572150612,64.03012984571792,60.18435409166239,62.24379114026771,60.40232709515622,58.148919717695236,60.28788783284089,58.875607826978104,59.1554672536247,59.57808035376629,57.218661282123755,58.623271225386404,54.52775877674589,51.58760552013572,47.75926352533261,46.040354156886835,42.887793367683045,45.01687035230981,42.39999394859695,40.779760254031835,46.34723664934716,45.07719706616244,49.68700118582001,47.81643864842082,52.73688123326934,48.321483638638995,49.576716726514015,50.44283664469168,46.30875901359642,44.830135230034344,41.335112160842385,43.812172331050014,40.381833130434096,43.34981541556057,43.27776322470216,45.3582277847774,47.97914053765313,50.10166393012462,52.93980268951311,49.489248340191914,47.1397606346229,43.984427096723216,43.873605610809115,41.594469260588255,38.834010954538215,42.28511776434728,39.051631557695394,43.66269919694023,45.30792077030093,49.364591101428665,49.97288140662112,53.06870623125992,55.61082857961877,55.00475758435103,53.40188235118085,49.94122178804181,48.633093220045154,48.083627054813846,47.51931227586468,49.896857966820896,52.66470087987969,56.968050303934454,55.15499976113039,52.596544349796694,54.96009536890796,51.82908564416173,49.38059281115106,46.76253785929411,45.38326111301685,41.098834719992816,40.23257621767267,36.77516950411512,38.357743050899685,33.355550204378474,36.290521648827045,40.074775033795945,41.283272626872005,42.809743649383904,45.50651229703208,46.83761967326116,49.60260474988038,52.3220058004852,53.14351974842958,56.74143144058526,58.34711461988493,57.0580540629385,58.77507660306805,61.1384835320525,58.11884077967669,55.07119763711007,54.48865427984828,52.5634261642234,55.06892976077975,55.01534602083073,54.759431027045714,53.7136733377386,51.82899538942652,55.64067825581642,57.7371691908806,57.92049330639161,58.87354593783802,53.79104182225643,58.93762807119522,62.09512760081129,60.235060026240255,63.483912247239275,62.5118506712117,67.34570970287386,66.45607825324605,67.46021069055553,67.64326761722495,64.16111144093215,63.16685106347625,60.32391526176392,59.57075579359846,58.76449495201561,54.05578452848627,53.41750119519375,49.675528565363905,47.38310188938654,47.34753010213526,44.483908641426744,42.77676428898342,42.96284977852956,42.288420005035334,38.37262845723195,38.14113308054559,38.84935758099952,36.807177212181514,33.08092420075826,33.58790959042899,32.95850822795667,29.518500186717777,28.90547725808883,30.556190407755995,33.62996134175705,34.14478169757786,39.68247872314216,39.86260843805944,39.894680806754074,45.1399257605583,45.070963050894086,49.63584237428578,50.406597825286504,50.69207952785523,53.337911023654705,52.26819634534448,56.99759572967615,55.58163251109455,51.345638610320904,54.718110519381796,58.53029288557606,55.14806270603212,54.2120822291044,58.287384827843425,58.60272589463028,54.79942163394419,56.09099009432928,50.92984720675977,52.5899093038757,53.62370287101156,50.131162327195824,51.14739296966355,50.78012905975888,49.25765598777748,47.40428194833955,45.5879280857158,44.60715611663284,42.42786582084662,40.86715918492631,38.972130093220144,36.31838806019278,35.29906364731616,37.26703039510371,34.650595546810294,30.759494767020154,33.29226370899892,35.74821326966566,37.71196897065896,41.41784414343478,43.14460181571867,46.878202841446544,43.86854784306067,41.39369656189644,46.379612251329,46.97523061217243,44.15596067210564,46.069592190270484,50.855781312967096,48.91279703916432,46.11588849568306,50.259613941658706,53.23615158258455,50.91870715802669,48.50240276761975,44.503047062874494,47.732048659936105,44.16678135984012,41.464300274841335,38.49801752456634,38.00560871590364,34.25790117911289,36.149242565473834,39.33323644671218,42.75637863728972,44.45315198565896,43.84360039512546,41.9259429055219,44.77346605338357,41.893210082047304,37.99629485372676,39.87946583918716,38.68033254807244,38.24367298416047,35.94969055991827,33.71438712326125,31.599477431556817,31.819200325291714,29.498444739137447,28.653978388667603,26.390731164877426,26.05778694122092,26.306301481792158,26.282982994969675],[19.590126759941086,23.010506297668613,27.846849226608104,27.62961781873039,33.074908138744604,28.72566513188335,31.70847141195335,32.487415413462095,30.995785616677026,34.61177469456711,35.05837245252349,35.75569995135405,39.36273712931493,37.71438246696415,41.061173055973896,43.26375150451928,44.070182604409354,48.12437185371282,51.43359246508658,54.024527592499304,57.51874517292931,61.454699909956595,62.475497982376574,62.146432157274944,59.073978955336514,55.11076956943538,53.40291491324126,49.2722368837168,48.74344335377747,47.01627909998206,48.23566955301063,47.19830270065104,48.95910963170279,53.454357961196145,52.73256264463794,52.45002095562358,51.31976574828023,53.979062794853874,54.52555214764781,59.98706895042604,57.969791223581026,58.5162060294579,62.73793381711791,63.09327067165487,65.26411395246157,64.83556555863292,68.82439165044514,67.31415096493492,63.389712583277536,67.6434991265573,69.173008210379,68.0365835400093,69.9723139953219,64.64785896024705,68.46667436069438,71.423318347316,67.77273643862546,65.98223776638201,70.73916064669807,71.43375728606784,67.2457522059422,67.17351710820473,64.32626292954376,66.57564270898601,65.15504637106626,61.137673340186495,58.020891819167716,54.28477255311384,51.66313466438118,48.13165130231358,47.67917721289047,48.878916388706955,50.53868754730351,55.111229077254364,53.69540054701768,59.2344392792501,59.55503516219643,61.18408989449194,61.2003183558913,63.04361451838165,60.80903692273998,61.50438833710949,57.85588963952499,59.6146399881846,57.514388024645356,55.511778604519385,57.67151360850166,56.658196092532286,56.80186245545479,57.73563428300712,55.2871467882406,56.94281745974874,52.89233016361457,50.0801294123669,45.99127726872014,44.54544680298816,41.074439371103054,43.42989439347252,40.72097808462226,39.53965172161002,44.666983300013676,43.34778721170206,47.639676980645945,45.616110948421536,50.27166487078728,45.617585084855016,46.96944266367667,47.481194209800435,43.20082641990412,42.02625595004275,38.22505952550121,40.630917962578415,37.202244448293776,39.89251367996066,39.97005594583144,41.74761522708285,44.56665345246096,46.400371675855325,49.54498125747322,46.36806163111234,43.81530504943647,40.6531318777973,40.11445261641086,37.87942781723914,35.19337239073012,38.475673021168134,35.38359116083591,40.067778325384516,41.82987261844988,46.11524181157071,46.371457914411764,49.69645942000951,52.05097545551015,51.788320521303305,49.7748813680487,46.28798038585277,44.633394844750576,44.07889793040894,43.425684927873014,46.006392272017926,48.57252215776846,53.01765810711352,51.480301899685124,48.95862510780701,51.524565738596166,48.671525201441696,46.06043138711392,43.72747893560219,42.43282083736562,38.28111646535079,37.6657906755646,34.584566599998645,36.70621696182308,32.1700164134894,35.0148708897929,38.49131705985873,39.24568177373482,40.62687263362487,43.13371729059566,44.139268568540786,46.45461329686889,49.32464254966353,49.665276008537425,53.49068953003966,54.746853258283686,53.12660628795295,54.879105546766084,57.02245532567772,53.95211963170344,50.90680893463132,50.51575163893385,48.71485217280681,51.547567215650346,51.7861596059071,51.81802445700814,51.09692602769395,49.334411527390216,53.40654374397876,55.09696292940689,55.30941600683408,55.813982676078666,50.81100293730913,55.78556920422498,58.800343803297416,56.81133133319054,60.13897908768179,59.21267927938409,63.90737907411205,62.70857735619741,63.75734528607182,63.80973342144017,60.46999661700462,59.37704985520644,56.54700868391156,55.85949357967616,55.01422456350818,50.23464332309493,49.80879734990011,46.018705356437096,44.01476032060149,44.13089139950115,41.5461349536846,39.538308641883106,39.49701357408125,39.23421571051211,35.28817338137092,34.407958620045,35.452674635423335,34.036056418983115,29.74318003391123,30.044040712894066,29.85868368568878,26.51942719252571,25.24122462598922,26.9905770947983,29.831223140807023,31.016285021338906,35.89777447172691,36.37876748931152,36.826085248874726,42.16306494560518,42.540503364402404,46.92142464918079,47.952748992187004,48.0726447477563,50.86539552299429,49.74913511104206,54.37553056121764,52.788101285410356,48.309890005327574,51.770223862019776,55.423785588023385,51.79622493320762,50.828620343921315,54.92825068712175,54.975145966190986,51.03894378437042,52.36174878408741,47.32493744019223,49.3566799423946,50.61094632631093,47.378396905513334,48.71680029224894,48.768020615668505,47.206484116200244,44.91052051110033,43.45809990460553,42.84092335253965,40.26376982720426,38.48402099166043,37.12775383826852,34.53276212384008,32.96537980923426,35.282032393782046,33.077431250485425,28.80076561941485,31.06687436136486,33.86021499209511,35.38880120970478,39.24988395271922,40.79567773424481,44.50699699285396,41.40689169687936,38.496764528536275,43.52760228640432,44.0188617109197,40.99217310911776,42.68535486733737,47.62332942170958,45.4671066167549,42.38654898033588,46.5611631141043,49.61676740127577,47.09934277891067,44.49641845960193,40.3404182885603,43.46618819886141,39.69990940853164,37.292756277923885,34.12043467735624,33.93747301261552,30.137743259705736,31.633012671053248,34.914472883538416,38.28537019617357,40.11962783950882,39.86307512288453,37.973451525934,41.0929054946374,38.16978559407835,34.48955420252626,36.96181578528577,36.04021980968978,35.910758727497914,33.02469065719607,30.73658028572308,29.167558317222067,28.9986099231835,26.14980684093761,25.802728766328247,24.159543628929445,24.20523514353357,24.6253024954281,24.755899014739516],[22.38337759189407,25.86624603545626,30.824172840049037,31.06158461085966,36.630043631547544,32.80975190477202,36.07902636857808,36.98247712286843,35.84309026421562,39.56837102401252,40.18966968601995,40.82565933967297,44.35882691501559,42.83087088378565,46.27338683984095,48.38995430759923,49.10673624992719,53.24020293446418,56.51344643352888,59.04572692923742,62.5535239520528,66.43151986571512,67.44789687493878,67.00741045547298,63.90795852618038,60.00445888352192,58.23444056651669,54.14770854453874,53.72750336131888,51.99396818333568,53.44482629696937,52.243025592313415,54.071551208503585,58.6110508002807,57.80382949602079,57.52035605279724,56.23468818255071,58.86309819321016,59.28117982818947,64.61962709065628,62.6065659183897,63.36184572929087,67.5674977880826,67.79329978252444,69.94263285906482,69.35704995063232,73.33976275429598,71.9227248191275,67.85372588121336,71.96470994663763,73.62346444652101,72.45982743486792,74.52363756165191,69.24428894670741,73.13367378010078,76.15751659893911,72.54782226396132,70.85814479541153,75.63690885058654,76.31147258879425,72.22489334212668,72.2778420368171,69.48953237039974,71.75162677946118,70.24591411346726,66.22107911800789,63.17955476747239,59.47371810361514,56.8619198533126,53.392847424752205,52.91358427908091,54.14900895185013,55.85493970171744,60.390975360783656,58.975167285757024,64.53717349099661,64.7601813240657,66.39912482106975,66.32151030971384,68.07199203409482,65.71466429022523,66.25883916314655,62.51621012108234,64.11506663580374,62.042998229679675,60.218443790779425,62.54735646654017,61.567562061828006,61.867983106553126,62.87005436244604,60.508270534728716,62.241064160003745,58.19059837964999,55.34061412489981,51.23990465903528,49.85120167583946,46.37235419510996,48.576901459652206,45.76896186971303,44.3675784845172,49.51602924673249,47.85814302507116,52.26068945209703,49.90028650190474,54.36376364047591,49.57666445434718,50.56923555769008,50.92381438120047,46.58403803315443,45.71239453053457,41.991515783059086,44.747090519887905,41.57853866710591,44.30103705996231,44.700825499041706,46.38418558058128,49.36984473248118,51.08331598941079,54.462400892116264,51.39202512388113,48.78696948638586,45.60169678546065,44.813274900386446,42.52357367247649,39.75521253655345,42.70938403066799,39.29420428918333,43.97889934325634,45.49024582079165,49.85061181235203,49.72836290956827,52.94350917586081,55.47976999492069,55.452773156471316,53.46406117462489,50.18760834858576,48.162184303319755,47.99029006050948,47.51532488313867,50.28511550466435,52.870107035776776,57.42235448220168,56.092729795275105,53.516177145951225,56.135128694124816,53.41400958418549,50.71453567231679,48.4137952719831,46.95603402192369,42.87822898271645,42.01204830644318,39.16011779780975,41.03497261499934,36.59315290475154,39.72403726810552,43.13586707327607,44.00524018574473,45.11601741121651,47.83369276981799,48.48767728787894,50.80734595125018,53.928661819431916,54.10601843288749,57.96912842888598,58.95171220770361,57.18832544804462,58.71300728017029,60.712516568503425,57.4570564477893,54.60835638248086,54.24841062110095,52.72029674837339,55.671594481484604,56.01808071276925,56.20820512484759,55.47992761164339,53.96515297717477,57.91157605681857,59.57222835918309,59.60920253148479,60.02233864643786,54.867812254924964,59.65474171715252,62.60695807400091,60.73497645949543,64.32739394751268,63.62236256122006,68.16724061041376,66.93132089557486,67.79601668580516,67.63879178132684,64.34240769982492,62.969030689488356,60.01232345404477,59.14309076237099,58.00573412383216,53.26680888101768,52.636880109329326,48.63771716446194,46.895567335920596,46.52582992243583,44.19418854872911,42.432070640396105,41.85550342240824,41.35436903616058,37.7974036205383,36.789465531323756,37.302686156889216,35.918808021335956,32.01223275199138,31.822268341721074,31.221816054850407,28.43369954339608,27.18702767187535,28.022319956364434,31.001919402700956,31.54712013358748,36.58005369793304,37.388645042925475,37.46031510257286,42.66258153577989,42.59303010321539,47.24029972608439,48.58054109521295,49.13118952441365,52.13022886615521,51.495521208366945,55.98215130549307,54.07026880468979,50.00862037330892,53.70682301774231,57.05556960744643,53.39488227673803,52.81827903807812,57.04044310387119,56.69445446297169,52.826369155499904,54.73566274689783,49.57063910926717,52.007881421717514,53.02270576741348,49.59505947005338,51.136731698268704,50.916176986111914,49.830380642145094,47.49337104788067,45.56132408815613,45.23194746014476,43.00714169651166,40.79087377384388,39.25063129402331,36.90103101045591,35.22465770338618,36.913227354163475,34.70231258776798,30.726932716308244,32.40171164368745,34.78880950779787,36.437336584357446,40.41114839399938,42.4273364134762,45.826771247376385,42.310848609715904,39.93869559765729,45.04994081257191,45.0598881124745,42.06492205401312,44.2774683656808,48.8106693982641,46.27662988522662,43.65760314462612,48.105682001470385,50.66620180438256,47.91607899410167,45.614505286518984,41.68878490431799,44.34505755237924,40.73582986752486,37.98337678696113,35.447937799367665,35.588415563645036,32.29811998379133,33.619078002684,36.99097046257602,40.09677475644965,42.23487681851982,41.99440588259748,40.76385208984093,44.03312935896224,41.568210649040935,37.702362201363776,40.269823366350224,39.04959020588397,39.346476424628904,36.66346120519319,33.86884607307927,32.47340048984052,32.94296386440115,29.6298807080899,28.755971610902808,27.235478235503606,27.191622243443206,27.463458715070473,27.357395382798735],[26.48522294822497,29.928328613761167,34.84387081697239,34.64260416919683,40.20105501814673,35.99893383389161,38.94805050744069,39.69160580059325,38.05270726703008,41.545166228115285,41.779279949904556,42.478794651027954,46.23919476660436,44.39660088979166,47.57433260969016,49.92930125944721,50.83735973553038,54.743833348931325,57.953217842844595,60.72367841326051,64.11252467062359,68.15687082460231,69.08057670773258,68.76316900693972,65.81209366122985,61.76443105872533,60.23416549864037,56.11561159282428,55.56381789446048,53.87258913513324,54.70577133593276,53.88242374907832,55.39845737985335,59.85538498231761,59.37515944510964,59.16593033345368,58.19377712760527,60.90137763529798,61.53294278102179,67.07375302540882,64.98528160413414,65.39398410032507,69.6447229782741,70.04210723487415,72.12490848140581,71.71873708898542,75.7245195189337,74.28367177488897,70.42630550849285,74.72208761444807,76.2781505265068,75.1841054676574,77.08090295124009,71.7357388100945,75.52612811498098,78.43031097844786,74.73556376301113,72.88617638853447,77.61473602702436,78.30414539967587,74.00244818173886,73.77753783903891,70.8418890223351,72.99568811905375,71.72645666344536,67.77727300310468,64.44369198112496,60.73330148404721,57.948353604825535,54.35768664092982,53.7975917515903,54.685483999701894,56.49243471208666,61.17520739124325,59.93013526625335,65.35306101953863,65.98843736807794,67.54192309779467,67.77671200870971,69.77855764494436,67.65829096687438,68.51012345938578,64.88070387893552,66.74738458360851,64.65777428258615,62.56365423317393,64.59805144598701,63.511781431934715,63.50860498991896,64.23868403946246,61.66749792321683,63.03736806938412,58.98303917580014,56.226060507802494,52.294394825381524,50.572676072665786,47.2893317226307,49.840711860486905,47.30217030027494,46.06107216270919,51.39756423897085,50.23185056676773,54.61231962958129,52.70203860179084,57.43182777365226,52.821667371914316,54.0997709828078,54.63871940533296,50.35539567358168,49.20989321200534,45.46366359665347,47.89325557661824,44.438629138925094,47.07381123556783,46.99463343097683,48.69955124725802,51.41925450974199,53.15323185793852,56.08844771705822,52.981824949200174,50.37089074405234,47.33271137750409,46.8340635496661,44.781396942063296,42.254935725712876,45.61522322429507,42.63066872353805,47.30532335842927,49.048002735768634,53.34936765748799,53.52079732597339,56.8255998407685,59.22040052703497,59.0121048040464,56.98312731810415,53.5008841660662,51.735067619683335,51.178310051110174,50.419813056185795,53.036842865286175,55.38081519861561,59.840987328563735,58.331939076305076,55.9216797009597,58.53748730636293,55.68439548206904,53.11221225344613,50.825276182021575,49.61383124365346,45.4408886290304,44.845762587100054,41.629788973497135,43.57912114380211,38.79996944792182,41.619121745295914,45.27478802837191,46.1695256797,47.68229279921026,50.17205584658586,51.33542350644453,53.670449991141695,56.452232669671304,56.78619736823444,60.63461912476923,61.91076980339178,60.188332301598464,62.00018430054296,64.03499988655928,60.949566080247735,57.9195184830322,57.62707684817584,55.85992081710689,58.760915809035176,59.017565424056166,59.0213456803493,58.26942675401197,56.41813520816255,60.46791005156486,62.24969383479212,62.48921744695669,63.04579159526038,58.053851823008635,63.02790919641092,66.03649268269201,64.04476624345114,67.35420340953672,66.36828708081198,71.06823338530751,69.7781355407136,70.90553030896865,70.9391341797423,67.64417599042139,66.52590556240547,63.68555859663582,62.97270544594547,62.03405483515131,57.25830969577791,56.78252803212308,52.89548222018101,51.014529859861604,50.89559701800698,48.40339773234227,46.531807298583026,46.24291530004082,45.82447788898139,42.08175372347332,41.145274554536385,41.89192142190351,40.428571127619186,36.41309826019149,36.420678888461495,35.9370557875486,32.93206985436852,31.69707565619234,32.825517529467675,35.75148432744639,36.456502136057864,41.437253194983775,42.22464437969015,42.3677085172164,47.59480374203472,47.52281388225029,52.17563607907949,53.43318123538744,53.91472935726325,56.83285953896382,56.04667654023111,60.61395162940546,58.82845321173326,54.655187426429436,58.26276552614548,61.74403693345655,58.099599066884615,57.379580882493464,61.55018033421677,61.34642482520149,57.44223145125733,59.111951006311095,54.0184905172785,56.25502602757828,57.37885726481606,53.99637236329732,55.37685528023822,55.16216913464373,53.851986877425496,51.6583393242718,49.855082917094016,49.26301933896114,46.98204753144252,45.04932135614364,43.42168666162648,40.9260235330326,39.4724281134314,41.32349237762294,38.959328923265446,34.986944902460564,36.96672073171114,39.3859587021912,41.13047472153063,45.0450982695044,46.96073592962746,50.477570042492054,47.0891436455475,44.636326889494,49.726313056022015,49.88709395361495,46.89513360531572,48.97044105096329,53.62270019447551,51.167887375533645,48.42022746646404,52.799932496361016,55.49786204872741,52.75910472031162,50.356682551881164,46.329629636301846,49.0262080332414,45.28080728995919,42.722943877833885,39.99460650039945,40.16918915162474,36.67815288774755,37.89847016534657,41.29347342604237,44.46789940185504,46.56858152701802,46.430432911220564,44.87799050980655,48.100828346380034,45.31912989501855,41.59557549436696,44.06717542518613,42.9928741579319,42.91886576059668,40.20877194791854,37.786414458958774,36.15550599911854,36.23280428814117,33.34188662745105,32.74529563672384,30.98379928726682,30.805425745764737,31.057141997975222,30.9613815740381],[27.918119623579905,31.218892058060106,36.15287994254793,35.55505261500065,41.26995218859627,37.30051754026149,40.201901525331635,41.207390053753514,39.38465267064378,42.66436401418472,42.94363457417198,43.91640408288509,47.47158190584213,45.364615128688506,48.67188634471137,51.1351429923522,51.843171332652894,55.683671324331435,58.6653861793915,61.60233364228192,64.85925088112806,68.98353922054636,69.7445076782148,69.33291536497124,66.48398566183737,62.40038992952271,61.04038474301891,56.98651720879326,56.61124220259764,55.1252596517539,55.878146885239026,55.320434449585235,56.89917787589383,61.26539353055586,60.76193000199413,60.37830950195795,59.58998403858919,62.06072900554707,62.62335986953283,68.2769789707071,65.94184249883614,66.31636511372211,70.62767690581242,70.92951227400853,72.86005557021682,72.38171936704991,76.41464925833141,75.13773487000707,71.27479447339398,75.59950675027783,77.29479019971971,76.31647284322597,78.25181397994203,72.91758608482341,76.83498086275553,79.59731463441787,75.8003212744088,74.07981618792348,78.81358640459464,79.31248651205267,74.98475785304132,74.80246499614583,71.91244317640167,73.88115834765141,72.59087276597133,68.74578199475897,65.20822238292858,61.61844908859696,58.62230382926956,55.13074546376478,54.39421417684621,55.15695752629576,57.186387850966675,61.856280192046675,60.85234942751026,66.33201313149557,67.05162674781697,68.75396214554564,69.02972303001619,71.02904523742855,69.06620902891889,69.88480436930716,66.42208257938029,68.22601351069355,65.98511413491613,63.930794392167925,65.8363089214265,64.93343950633717,64.70430435194729,65.58796461542464,62.86393568228573,64.17600901018761,60.15752339564728,57.52969022187205,53.55747623571398,51.81276552332117,48.473139144287934,51.31596064703182,48.86788827256194,47.91878369647375,53.10496843255291,52.11773260031769,56.323072219013056,54.51057144360366,59.188196174991326,54.51843972530376,55.926241842404295,56.322320162714476,51.987476850969266,50.94157696753146,47.03710599413385,49.31170687170266,45.773714356769176,48.1893477340884,47.99643169703009,49.49729171487343,52.20166925276713,53.73109154612565,56.625770983827074,53.70460687669404,50.96419673684578,48.02576892555672,47.38315555954834,45.5065930877489,43.16852847307773,46.564717637863666,43.841835770792194,48.539009096653515,50.41964954827048,54.81947289059396,54.85689483607434,58.31092474699876,60.5464691319636,60.499933502946405,58.21036270626897,54.65976550073012,52.75049008238401,52.062645865631914,51.12975175931821,53.81319409890525,55.87507036398871,60.37801098931287,58.99057444344922,56.70231693992824,59.44419412080694,56.722772303324135,54.117059890873016,52.02517918020013,50.97467334247912,46.860442357595666,46.5067828484094,43.36336307057497,45.586199998588384,40.90099499131254,43.55811588734264,47.15606374350366,47.83621319229412,49.4291594196326,51.71974806557902,52.90397236122113,54.980503718843295,57.70066454212476,57.79842732883182,61.7740869823779,62.93819834308748,61.00824408516773,62.94801246151156,64.82745661488883,61.77374469200808,58.69228226963023,58.569711656873956,56.81112022595808,59.901732022028476,60.307374762556535,60.41116063763647,59.8389275090031,57.926367136182655,62.148634632747275,63.74946875050309,64.08478609674044,64.4373317069837,59.56314234735501,64.48445076787364,67.41640696628055,65.30981532113374,68.55484808123367,67.48984765866172,72.15733660464423,70.6227191333393,71.88925220506387,71.90131343296022,68.71497554463011,67.62407676539289,64.83693459050997,64.21190047864162,63.29387602696682,58.480070714843855,58.169790987814764,54.279619102006684,52.56356136888242,52.551385069820014,50.20218221372392,48.16944723621969,47.77583154325999,47.57876836978015,43.83416317797076,42.542790352283035,43.46856057578216,42.329152281694384,38.063990636505075,37.93762758921233,37.65983137928564,34.755621840443006,33.19087352655654,34.26920765992276,37.045426784869626,38.04786119777219,42.62100917295698,43.661833892368364,43.98319111764403,49.21790785566833,49.3173641678576,53.89192971702777,55.32012258585769,55.7834623435318,58.78823121917583,58.01836325901725,62.51884648964438,60.62796926265228,56.37538912077112,60.032699201821075,63.40573521153701,59.62549347683717,58.914319193156565,63.09153938039779,62.698431567463096,58.72766068459623,60.428643698090674,55.437629079021015,57.880320859138855,59.122871389168594,55.878924073128424,57.399160043717025,57.358424364362314,56.019209047779746,53.65574584517568,52.01029984763569,51.54784197574266,49.11032663542402,47.11031770566095,45.690284383944146,43.21439897919801,41.566901907290216,43.53501425706832,41.31860693371725,37.22884466422491,39.07672330985115,41.58473120716776,43.16527816788366,47.145310802422415,49.016892125563736,52.49562867867573,49.02994020591753,46.43635172243972,51.54005403631659,51.597638462680145,48.50830148255597,50.50775329904125,55.188984359793274,52.5549196372197,49.708107103136484,54.12223981071733,56.80391546204898,53.89228271269486,51.41380097711002,47.31581430823123,49.81958684970199,45.92752823349049,43.591674180692145,40.831678162642184,41.30508499900212,37.835830909029646,38.70058592656553,42.16617946213979,45.2499457241853,47.482495814990926,47.626494610459446,46.09132831134553,49.46901236882645,46.61057542139023,43.08214352076819,45.83324923840113,44.908735080737486,44.903776508202284,41.940324026882784,39.562133262243826,38.13417990415021,37.95711947881936,34.91329611556701,34.58662721313787,33.01678861647012,32.91418518517238,33.140811382510925,33.021664420902425],[29.531393322556887,32.817758381374944,37.64217297214131,36.838642677195786,42.395965354629475,37.985834981292946,40.592345899655086,41.33913510183011,39.18629246720029,42.3220901583684,42.26166223937215,43.174792717495734,46.955643358833534,44.72279164941678,47.734017227122784,50.324020231956894,51.26701996007634,54.92301791534294,57.94384800327327,60.9801123980615,64.18452091561933,68.39364810304427,69.15115735990138,68.89834233498024,66.13301708944792,61.96765549956234,60.7308517524868,56.63976896725004,56.07255721564581,54.54474100319917,54.82502774124723,54.477480017099346,55.78158441232211,60.08604765687104,59.849197171184315,59.59067344856956,58.996998340986465,61.61486506402822,62.38801747527476,68.1437420065641,65.86624679259323,65.95268625342744,70.25555395649985,70.75222368524571,72.70165120883712,72.42842145271605,76.45033173432924,75.06422257005907,71.40520944543938,75.87061306016548,77.39395997237767,76.4260846467144,78.18816302312725,72.80803054047546,76.57064073653741,79.28020562679761,75.46771748337426,73.55876832744895,78.23168493347116,78.82363800202043,74.34246545958922,73.91046180710332,70.89232346279682,72.85054519409411,71.76499757062955,67.94789559201475,64.27994090113276,60.649296783191105,57.62965456876423,54.016149790426866,53.30525406590191,53.848816203269806,55.83656107357905,60.601070510736854,59.62901434543832,64.95018756428001,65.95542442462806,67.52671245320552,68.03280768149686,70.22773282627026,68.41204098686286,69.4964427961923,66.08551421291784,68.1376921755009,65.94897340258561,63.65273539298685,65.34870506635814,64.29148105680125,63.89793206020803,64.5049083239607,61.68195271373462,62.729649384744505,58.7174209250636,56.13077837512246,52.32662808974202,50.349662297206685,47.203133560462476,50.19627284202204,47.94973389596263,47.06613488555778,52.392071609289076,51.76950947375412,55.97345740411675,54.52955073548952,59.431649132128015,54.967891024287304,56.602140396934075,57.219352519166925,52.98018755558116,51.63797566810643,47.78527690086833,49.8014110934399,46.067297325427006,48.48707630862842,47.92965855219545,49.54309921603651,52.00132112151014,53.65207521750417,56.16489439494079,53.13188081189686,50.47606580514887,47.63261912660809,47.32716028893697,45.57480671187293,43.37037244377599,47.08372080080486,44.63911624681363,49.28846012957189,51.318798038407046,55.593921106900716,55.985028171960295,59.450077505464805,61.60136876570846,61.30018690186503,59.09652542180645,55.39940439704036,53.83624456313214,52.847031154664286,51.75524921693691,54.235534828019965,56.23223509749242,60.5997227490979,58.983672077790544,56.78868624220057,59.4450738979169,56.55658996188878,54.093962770699825,51.936472487573816,51.03954419444073,46.8500455427184,46.649609967228756,43.20209141578163,45.40895244757776,40.480033661479006,42.88774975528765,46.65581628498111,47.40221540448381,49.29479520647033,51.43616138375604,53.04476942728097,55.224395803603485,57.654250245530456,58.002816444775725,61.884460456617376,63.370029893617,61.60292750083968,63.738566073077564,65.74480489579973,62.85532284288104,59.628726628266996,59.47088368375662,57.47893531530782,60.40753452972393,60.656930800316324,60.547405657138256,59.890194358957515,57.7154024104312,61.95002549661126,63.70693647923069,64.18947320403308,64.74865816171906,59.999130493543674,65.10054697053668,68.11015297198439,65.94481915477948,68.93802653434169,67.65478434631237,72.47100257190812,71.01364291217502,72.4499258170455,72.66014481390006,69.4293297486029,68.5830707846566,65.8968152753644,65.39224449057922,64.68204822521412,59.863115329500204,59.63865918634891,55.8914123251648,53.949018561847446,54.180729877914,51.606490387950274,49.51771278852776,49.49322099958358,49.31263874812195,45.36498679642563,44.31355903858901,45.434964057067305,44.09749676450821,39.796313921689865,39.96933996416166,39.76939362498434,36.56764824867576,35.1589719585968,36.64181055851548,39.42644464584485,40.538280859499004,45.23675778251781,46.059841636765526,46.4423630094138,51.72696603923825,51.874883071715445,56.41896026274883,57.63254510988893,57.940213836152104,60.79766240081004,59.79125200711038,64.40705056194544,62.73542094295904,58.334254054040265,61.84134583630708,65.42789330529907,61.73042968348887,60.81616682018187,64.91819181588522,64.8101414892776,60.83196449033345,62.19597443488022,57.2533057813175,59.36028718439044,60.68416498301273,57.47024095727107,58.768111604264895,58.73212731377644,57.13359071278953,54.95230135840766,53.45318764833463,52.69659869596136,50.20513831062614,48.53110361910025,47.01937173729642,44.39104395434783,42.99765821794562,45.16864826724417,42.80277519085056,38.69981199077189,40.930524863139134,43.51983906324931,45.19825988140159,49.08264564957472,50.78411317302579,54.433433782677554,51.194035174066585,48.470368029939074,53.52912596057831,53.856713515955526,50.80446941408844,52.61172861206386,57.461842214276245,55.063639000280496,52.05568510846476,56.33225303331234,59.24517649234901,56.485492831289285,53.8963462874443,49.70983217779157,52.45300533301097,48.510197385109684,46.28375386250451,43.25266470968792,43.52283659945301,39.80536794309005,40.81244501926599,44.22146194521253,47.44845022921422,49.51093970211883,49.58655170521935,47.672090502407386,50.89749895247499,47.76188939905054,44.31181899700264,46.838674906720804,46.02096430999427,45.64681985454188,42.744803030952035,40.71846069356307,39.022737610871026,38.55751472589878,35.985886621326166,35.836664669371565,34.004689178725364,33.80838595617711,34.04177327513912,33.97565463369188],[23.853426375334944,27.020963645722286,31.752615292561128,30.68843833568399,36.19161383106067,31.70304762693167,34.24805473358284,35.11383640166553,32.919598475209874,36.04101387050926,36.130243804144534,37.17538324231269,40.774201796792504,38.55227526481676,41.74951173147945,44.287987716849585,45.08572488075634,48.83775663596789,51.8705020507389,54.8412524357202,58.0933555904233,62.257131884959,63.04547356548576,62.76067526121691,59.92884756162928,55.79355648833045,54.47840232555209,50.38351253356059,49.88858863111479,48.409056863202125,48.93870317003246,48.54425837942489,50.06557101073064,54.372793904898636,53.940443294148146,53.55473952357216,52.919279178686836,55.414853146241065,56.11328817410917,61.86679093602889,59.552334987902775,59.71739082940608,64.0279353742317,64.46857077214167,66.43907638824601,66.14243119250368,70.16275336366395,68.7646071398711,65.0689485204008,69.5222896767041,71.0610912271145,70.10080097087655,71.89825292212416,66.52633221467674,70.35792929642108,73.05647875403325,69.23216389837071,67.40559374709693,72.11028733887414,72.64588591509842,68.22938611146147,67.9271298697369,64.98498252103774,66.95480729014618,65.74539068841179,61.90151019287378,58.32370167985184,54.697750639110495,51.71727575345672,48.16231277774237,47.47155152601116,48.22571599181235,50.183100618668306,54.87984767778313,53.85238066979802,59.30740968803551,60.09572933569346,61.789021520363605,62.13973705918896,64.21604509147814,62.3735205318153,63.33526067585624,59.980139139343734,61.94506729346827,59.683884481284046,57.4503344328228,59.18362998860589,58.25065648624348,57.87353112549461,58.700084263237954,55.90163661125832,57.15963436814623,53.14643224497518,50.55906521184412,46.59554327399526,44.813720847580974,41.47782627558854,44.467355343459424,42.1297299816009,41.44594606855019,46.55043371256289,45.92725431831411,49.9768999504932,48.52624295997109,53.371353849407164,48.87117150112249,50.649047422721175,51.20858654468747,46.97131811681879,45.61239071477522,41.65746898496027,43.53544980437569,39.7515113507511,42.11454173061019,41.580121020550344,43.18527686282762,45.69717886037561,47.37056349930162,50.01762945173265,46.970869087188916,44.30312094313003,41.39173037950073,41.034111529524075,39.215142585368554,36.974627863212376,40.701332510625015,38.34762075082522,42.995995545362845,45.124190925390366,49.40886306556009,49.85772413497396,53.39924411233082,55.43673422677713,55.12829140807469,52.84097618390785,49.0898909193186,47.60281863057946,46.51286634740093,45.40836069371984,47.866230033097224,49.934235819426576,54.304117235342595,52.679841158616775,50.442654106972526,53.10654037960065,50.24763042361649,47.74853664038385,45.62669993094069,44.75214177021972,40.591987510945444,40.51742968202626,37.17134637325069,39.656616632731904,34.94484386586738,37.2529093944676,40.87051706781689,41.40168871228713,43.26740278315836,45.31136438188162,46.854345260959796,48.91194811941034,51.35514163528964,51.63740042488712,55.546592410720365,57.0023240454949,55.25486252919775,57.418772425741246,59.46582650415213,56.62434622736327,53.35197996409834,53.17668144970508,51.13192596142348,54.06242045273784,54.3402991212766,54.27185286338846,53.7101057779481,51.55096617077208,55.8862413790517,57.50304413241538,58.018417485957464,58.46523690268148,53.778371336997914,58.87426279077519,61.86245871251526,59.64794419372558,62.604335809414096,61.316875075324596,66.12705174695078,64.66279022970589,66.10152519776472,66.34077621002481,63.11096217138643,62.32197402920236,59.67896712758888,59.24564084529177,58.647306975344634,53.81699064289271,53.715129291320515,50.07432925980021,48.07844957557958,48.58820803159644,45.983719538382914,43.70489753609849,43.88889824412892,43.944744464132526,39.81879276450868,38.68071220388557,40.157029183668065,38.99263829142939,34.36555982096531,34.75205928882042,34.90727891986419,31.47022776856213,29.884666478524156,31.892787711675155,34.51631181811725,36.16871274752634,40.59883490006705,41.256172401973345,41.97193128300252,47.34058212281847,47.905123538443696,52.20392417370102,53.28638423443188,53.26567264970271,56.0315125952047,54.73248025178054,59.37093862468462,57.847871286150756,53.150414425674306,56.529566436119836,60.23021384530942,56.50755060439312,55.366801372045586,59.392377725517065,59.450573483424066,55.42354899861597,56.46741250586517,51.630513161617216,53.60923819907622,55.103206000276664,52.08883529296101,53.38337775223742,53.6462321030878,51.801843418444776,49.487235425550125,48.37674493458872,47.62312628023731,44.81504497591454,43.29030077628233,42.09460446380419,39.387495351263716,37.85408794638859,40.47081877087851,38.29579197339705,33.92384987253976,36.352317962975484,39.27721364827655,40.70966278887534,44.55153954422106,45.90405357063518,49.702692170274226,46.70357326565877,43.53710891574171,48.527502536097536,49.112965440116945,46.00333375961198,47.431607709179126,52.537905674565835,50.346578837871064,47.00547835246394,51.099259536278375,54.32169569376004,51.69949974728729,48.901418117978544,44.57433527849902,47.61673640419293,43.595332444569344,41.60389114697216,38.1614065737769,38.249241027369294,34.269055233958774,35.33928764087318,38.6723773970559,42.03717763621661,43.9098786635184,44.00484522711183,41.76998522625073,44.95182411514181,41.631209222796734,38.32981691816189,40.95635933084911,40.36731258910974,39.91476509509015,36.75884363781734,34.95844680578982,33.38111386620313,32.50889019044818,30.01168408634874,30.26518381816041,28.604393293007462,28.56339121767728,28.9204311364949,29.042722844912106],[27.326991187683912,30.269949879053033,34.93631828079674,33.30945210403153,38.89661280342066,34.657375975869044,36.989175331160205,38.11651033606195,35.56470111094616,38.270061462789926,38.272574157657616,39.67687243008807,43.0379608507766,40.387921171773954,43.60773868246728,46.343362709159784,46.94543407509545,50.48540777981121,53.173512607342815,56.424624227650824,59.441223476365096,63.742807181640075,64.2913249556761,63.93467477238234,61.30589697490437,57.09296794706806,56.09419237042603,52.10375774663396,51.78992931792598,50.60422819395411,50.79777613030832,50.889161485503756,52.36462373468922,56.483344122396836,56.1446260969436,55.5644664788486,55.28381792773654,57.48690803661162,58.17110793851649,64.10089967657316,61.46353077357917,61.45568566479156,65.82986393868184,66.21346384822655,67.95747147123426,67.64471205947282,71.68449255501842,70.48490769286269,66.89055921283862,71.4181088298995,73.07933157530218,72.29343052133282,74.06810147665445,68.71182131287232,72.64486298921578,75.10906438189754,71.14362981171723,69.43065786270999,74.0990089592613,74.40481606719771,69.89360388014907,69.54504769400775,66.62388420792006,68.29865833281195,67.16230813900982,63.504910748736705,59.58241615097322,56.132687562704085,52.83418449034953,49.39275461495361,48.44412507404881,48.88835085139842,51.16568050874258,55.86556596200031,55.22689610945789,60.66232849461704,61.70884185339105,63.55178624192683,64.06731874214591,66.21919096041503,64.675636247742,65.70089075268142,62.61821995303801,64.58931277631262,62.1421837119426,59.87947984997441,61.33184800758678,60.60098226730028,59.826379416484826,60.74652005371645,57.69143577490112,58.73094542988009,54.794898277867,52.433739986530874,48.52110196544979,46.604029455974505,43.31075135833255,46.76942231038674,44.67532546122658,44.42909720920048,49.3435304456054,49.12045911311026,52.90235992840544,51.7368809728413,56.571591599693285,52.09012698271828,54.09580085630326,54.542740983177744,50.29462769692664,48.98196042061161,44.87519728641537,46.439760067630836,42.505249260819554,44.53009617376729,43.686563933077615,45.01895593187572,47.382499858297486,48.78350156560053,51.18321792482721,48.38920635781896,45.575865262208445,42.88899641454383,42.46122548214591,40.988218401623584,39.11213335065416,42.97482116530844,41.132631837615115,45.73649979327086,48.08240612040033,52.430487692692324,52.8108779253936,56.53088294152957,58.320807619659185,58.14643373681891,55.551584523307824,51.67675413749821,50.11396384677399,48.73829922242253,47.324129863879406,49.78682047910856,51.39271352096046,55.74368620881265,54.21549150103379,52.21294159140273,55.01202197333422,52.29537442716897,49.825268672204054,47.979300894803,47.4036364607215,43.33659465526781,43.65393218157767,40.32859946615128,43.13326678559367,38.496661799670576,40.46471599563531,44.04291030560743,44.307663871126664,46.384065202967015,48.07965027493822,49.80555859982577,51.52588804688261,53.750254058300456,53.789924205608315,57.818085798233234,59.226208337714226,57.250778214470486,59.66358310319784,61.512448660854545,58.795078571528016,55.42764487773366,55.486686625059846,53.39006096382709,56.50822299366864,56.93494198783918,56.92434369543897,56.58030246787905,54.245719845575415,58.79307142574699,60.21674959066027,60.91977029128324,61.15709701370615,56.708924436150944,61.76689701868209,64.66261360248188,62.28171418029847,65.03911487977027,63.563535962023394,68.35169727695684,66.57956549303303,68.27872430856593,68.5620193878533,65.48443978431942,64.82279255832383,62.30011583310302,62.02808455961413,61.52555514063252,56.66626502998115,56.810052729719054,53.22251772015114,51.39978636962369,52.10608172064173,49.64494678856639,47.16140924888383,47.29867195017752,47.63602090888623,43.495378116217864,41.964404319731166,43.69613274172273,42.8954369441222,38.004920008181706,38.26602914873903,38.67473633806306,35.35286952535305,33.4045532635054,35.37541542269475,37.79015628030987,39.79689988534773,43.732919178629295,44.677803748932774,45.60600804155861,50.97233082587501,51.67829305306251,55.90865841529594,57.19377844325511,57.13092045115459,59.96142671505449,58.643747889590536,63.2140788076523,61.61075577230076,56.80141294984069,60.199728522480406,63.799738348327544,59.935808459009344,58.76449597556621,62.76697136677301,62.64545828170039,58.54055179985965,59.54348203634447,54.87040525300886,57.023062685289034,58.68605751298481,55.86532870978551,57.269792858970035,57.72833184882777,55.8038142811399,53.34495623489843,52.45566606541185,51.78517263635071,48.80775425357833,47.288835463964276,46.30846165428835,43.609890375396354,41.92788384332589,44.67903825968466,42.63634600437348,38.18196309518361,40.50039223618249,43.500388294474426,44.77475174593845,48.664481152419235,49.94496545922589,53.71203389647209,50.66322041186495,47.33541776156949,52.315461115757124,52.81611504755908,49.60728986026682,50.90696106911951,56.05825575779986,53.69073200358982,50.20981757515688,54.305807396454426,57.537492100611686,54.72970571893266,51.820672023808136,47.40162852252299,50.21525720611104,46.004587230309504,44.339784551643135,40.82279362224578,41.279238113259886,37.31635211107684,37.904837510902304,41.30449499621757,44.55276047489317,46.56649605045382,47.028519118333804,44.73935937297189,48.06397039080142,44.59067518137515,41.593365677691395,44.51296153825812,44.154766008526764,43.70106077819862,40.26217337734769,38.63714176187912,37.270981267278096,36.00649960590781,33.484324613631536,34.1302370047997,32.69256303711895,32.697075100367584,33.02146456837111,33.09733968219628],[31.030345806185657,34.12410106568328,38.75173907605602,37.39394844206128,42.79393110956206,38.10466238448518,40.28970947522352,40.96845152229755,38.31059040016878,41.065716194148045,40.68384435898707,41.77427755704579,45.56304399267516,42.99585679290471,45.77881807937504,48.56953533714683,49.58198098015116,52.967184444075116,55.83887062872192,59.087769291265396,62.127501094734065,66.46254679716516,67.09859683955023,66.95758931301575,64.35866709441022,60.0972461095023,59.12182082760958,55.06370408506807,54.431718343293035,53.039985079103374,52.76296614050784,52.869625711568666,53.95386853658389,58.08511617533726,58.089533781693056,57.80360858294562,57.58135244246618,60.13560573970713,61.06744318116605,67.00315700371185,64.60269994888417,64.34257504830218,68.66224478784677,69.29381269619365,71.14102710874381,71.04186038359126,75.05655549618092,73.6730457971565,70.25511437539006,74.87653912400314,76.30372062766617,75.43955838950005,77.03651101839174,71.65292381558433,75.32622817222607,77.84630779692452,73.95218291515364,71.96152679106727,76.55437267563555,77.0871452558676,72.44838880376125,71.79487639887677,68.69501150847013,70.48001577528919,69.59625535383928,65.90745257965011,61.97206603183788,58.40344745387543,55.212987220516766,51.573540508810076,50.76314672905618,50.99135897590346,53.09021620738184,57.91067356679458,57.163920118038234,62.35133406357885,63.69864573168046,65.2626713741498,66.02880398949036,68.40816604188379,66.89254099766231,68.22152348776761,65.036202379387,67.28958735456953,65.02717104941611,62.51494044476148,63.868215237718246,62.81767630239467,62.05381712520951,62.51828680149288,59.4742466815696,60.21389206990319,56.258456786108304,53.84449953463227,50.189638246063296,47.98470276338263,45.001020803306545,48.382380378507364,46.43995194391986,45.93770386950452,51.19712306442724,51.14875142530104,55.13350717480785,54.196119087390855,59.28288533674182,55.00843550084309,57.02273515136422,57.7580072280602,53.61264044482536,52.02276829675441,48.11050775888435,49.66621415223661,45.66269803173689,47.87955963689321,46.82588716651739,48.3970193557338,50.54760571894068,52.178443529712354,54.228631542092394,51.21801820493491,48.574667695799945,45.930725306059436,45.905943549490104,44.439111490984395,42.54818244873391,46.61099978104675,44.72830832317298,49.295260354678,51.612914775623274,55.794655100473946,56.49454679720791,60.081244964903725,61.97922610214758,61.51068125993381,59.199273342881625,55.292486582073465,54.04317389777413,52.59517758309427,51.19687496424809,53.46900982283046,55.18655218279162,59.39603197213003,57.6159340346779,55.62411705892364,58.26325962573981,55.30626325154195,52.991872474684925,50.936196125303105,50.35599898366102,46.17002461535321,46.368749510091654,42.69537065530045,45.160422047202594,40.13275828966316,42.0629666241777,45.91572426834983,46.49633538381154,48.77343633634562,50.540964194525046,52.621854892510434,54.67256002311199,56.70310925534374,57.139035465258694,60.99213406237629,62.72849616477379,61.022029330314,63.47519079026323,65.50281807844273,62.85779510464208,59.438001130948265,59.36435451593294,57.11676685483902,59.97964571308258,60.173504297132624,59.908918192651434,59.32358770614046,56.81566325977605,61.20010373703178,62.94748380816409,63.68552933483548,64.28340835208462,59.813227752551384,65.0470086865,68.06512712403983,65.74450046848368,68.37281101510366,66.79105110051879,71.71600048479063,70.17932093557557,71.91097543608478,72.3421977349958,69.15879259072737,68.62383156381199,66.11423758736451,65.83087477178633,65.40411784033033,60.571289501713814,60.59829781983194,57.056732688264624,54.98568353240011,55.646053753104226,52.93859420532039,50.627138153984085,50.990903586578135,51.061740958250915,46.87049413783258,45.7997250332957,47.35756005192933,46.10517243008295,41.52551336536521,41.97729923956898,42.111154909501735,38.634423738145614,37.113541684235,39.108249501916255,41.72714699060028,43.32161868643574,47.75687358124557,48.476376012832425,49.14832779815766,54.5020170543722,54.93696897262422,59.30265620651905,60.37831868190228,60.40269868588188,63.12252973796678,61.783226200779886,66.46445151871904,65.00982126714382,60.31180854592764,63.63691351236597,67.39945986106068,63.69990559911156,62.50438320444184,66.49414232983546,66.61062874742134,62.56862439377749,63.49031515781766,58.71802200976291,60.5628463959346,62.106300173406666,59.10592102380372,60.25586913573352,60.44615487711991,58.477817774497225,56.3389927458501,55.243156806234154,54.2699186069218,51.525217436932536,50.21158800503692,48.86066163395596,46.07754050122951,44.78347098807362,47.37371875584201,45.0284972837852,40.775634051474626,43.356286749972654,46.179591076823236,47.75828220013159,51.55745695384267,52.931057365132915,56.76458019123911,53.79775580119048,50.710272489425016,55.686475256733,56.30613416794023,53.218395584086274,54.64102446980445,59.75398543478981,57.55035552018992,54.21031302276443,58.29028148637722,61.52670729088583,58.85610482938403,56.03983590965004,51.68401202646848,54.6306624118932,50.52611119357927,48.64792089575136,45.20317003068507,45.41217139113639,41.40053402913385,42.31101969212445,45.662187016876615,48.99732600744046,50.896706391505255,51.11017720444945,48.71585672461203,51.84626475492813,48.322569813562545,45.171495413898775,47.67162378477019,47.158440079237565,46.435112782219804,43.34812431246671,41.818117966727435,40.054366193536474,38.95380307434496,36.856990953727504,37.22207496928251,35.37295177501543,35.22941987661387,35.47902522854327,35.51079571904385],[28.14817797866281,31.374866957509298,35.92497122031683,35.01723142748189,40.18283262624522,35.07334417378613,37.27999614678631,37.55045015979628,35.09606806303018,38.17168838042448,37.70401242747977,38.390305726133406,42.517124341593274,40.338677848338634,42.93983928018245,45.57817807719617,46.90452876468148,50.40910711534159,53.651834427126616,56.64599464509204,59.90267623442405,64.12288651003117,65.00829962681115,65.01987952269877,62.24689854770042,58.03795412148989,56.79253060710785,52.62076381488695,51.712553336284195,50.001411485189465,49.847446777678385,49.55103820433886,50.55066409279067,54.84079383244832,54.87070532326333,54.84430324494221,54.350114289021285,57.26850076077748,58.31238181333814,64.09953531565066,62.063567102983036,61.848330900902624,66.08779560624743,66.86670242579198,68.95456682115666,68.96726443962082,72.94583456671425,71.30655416212657,67.88706256681787,72.48212112308872,73.69520404321692,72.66747732254116,74.20245290646677,68.80038200120084,72.28059904098045,75.01289950631923,71.26830282588568,69.07764505359191,73.67201601499414,74.48592031044792,69.88684072805803,69.17097706930878,65.99695163776227,68.08436001270375,67.214794811442,63.35022295718196,59.72775458310031,55.95846321708055,53.09699711066567,49.29005646318877,48.766198983033156,49.22266205560311,50.96241613640092,55.811010418660075,54.67022373529816,59.798001294646184,60.999560645789806,62.346875747142086,63.04292250703111,65.42763576483355,63.67413848858479,65.05702948188556,61.62568271399577,63.98755008188446,61.94367766665519,59.35144090894085,60.89157912252069,59.56430015805936,59.135483985746376,59.37739940354569,56.55829600159803,57.40776649161938,53.37860523105486,50.75133369173981,47.12819440624114,44.95901783036926,42.03079773429816,44.987337735540656,42.8985799228627,41.98943600105047,47.48778922513459,47.21880142551419,51.45545457737801,50.41970943699316,55.613101135111336,51.43953474469812,53.33013711212173,54.28553558773233,50.226842941007185,48.4505656970567,44.7431322964111,46.461970507009504,42.5375448576727,45.080460891502824,44.162682668255535,46.05878063153518,48.227858584148,50.19191689847457,52.31169250474689,48.991527258425315,46.547148131027434,43.73107891674358,43.94639492780751,42.200740751679405,40.021642092404946,44.078068576571965,41.840088249351346,46.392486548310686,48.55719556374846,52.581710226267234,53.527242483876734,56.91963798035572,59.011088573579215,58.2840004903923,56.33522019919504,52.49991829855527,51.50711989229444,50.201658954721765,49.0457247106692,51.200134253275266,53.35095482070907,57.4998353844395,55.51758056057002,53.33589203230869,55.78483569942014,52.61111324876878,50.34673331723913,47.98646846522338,47.183655351178174,42.891376562723686,42.77673789221883,38.95074283817294,41.0717810760356,35.87519402872741,37.99547384372223,41.955656884327354,42.833672194436836,45.041016552180565,47.07365088280678,49.17410351567096,51.60719450198688,53.705141807420716,54.509868089396235,58.180584851398656,60.10920977582065,58.725117817130794,61.01088482720185,63.29592884379398,60.61820617620638,57.24022705930417,56.9115600385258,54.61234231429942,57.18940146636802,57.154187171811465,56.72572610401621,55.882159667075314,53.43197591402267,57.59374849049742,59.603246025322065,60.222703238470075,61.12877216902769,56.50063623208415,61.838187446383714,64.97394648674498,62.80211374637509,65.49871482317208,64.0137066585263,69.01989299657413,67.83298509266356,69.37249836645098,69.8539933798707,66.50295313279855,65.96321078562794,63.39242392181969,63.00761929237946,62.59113705825954,57.810905302353525,57.635442268076595,54.137905814335326,51.792740322331234,52.38730875985041,49.44340105084313,47.320383154267574,47.9223238682377,47.7295003437006,43.485412647091856,42.935021202588615,44.33476163576566,42.64176762464775,38.35261288499134,39.07903427185313,39.01301890184216,35.316558067820445,34.25643753699702,36.46524580493766,39.24153231753238,40.55095592111074,45.46663327361911,45.78657985659152,46.285785216098006,51.62652475950471,51.96411722139811,56.336303117160654,57.0903844776514,57.06551911691278,59.62697307341462,58.18376335504111,62.96151962913998,61.713035542405365,57.06929919425448,60.273222530602766,64.22677903675917,60.726333097039124,59.45968339588404,63.41338337987698,63.85038256609845,59.90332927332182,60.684947652236055,55.80524136292165,57.29511212597976,58.70338921475655,55.554781045846134,56.47251214902271,56.48053314009125,54.463364473911575,52.57359508735819,51.35284615602527,50.14956262857616,47.55653832351973,46.42457786396043,44.83532591559203,41.987409903586915,40.9877842909862,43.53745148716377,41.01467233687919,36.88163976555044,39.7448025888645,42.51480765431551,44.272878447616286,47.93740367602481,49.270697260808454,53.19753421662022,50.42748084799825,47.44338989469223,52.36251021872712,53.206544784398204,50.25712328749193,51.68557290324858,56.81089612614156,54.91964184498473,51.65111079430941,55.62524192522822,58.958213568601636,56.5673100781482,53.81613875472335,49.532169929617346,52.80597618264778,48.88654430711854,46.77025501396166,43.289180146650594,43.03335579877576,38.92255477360719,40.35662246719122,43.578149758889516,47.070522283298295,48.72456424951025,48.54305154878589,46.025014967367945,48.90800644097299,45.42097219312374,42.04786528066319,44.11363187347197,43.43149545651797,42.51607182500218,39.78603339227638,38.288795443976184,36.18918286419999,35.32520954559207,33.55096224642481,33.622844965783955,31.411450186447883,31.134826245514404,31.36697790266766,31.43432753154736],[28.414829889412392,31.339734700471894,35.61867817074798,34.070383453518716,39.04879899396849,33.79219317012482,35.553089615847085,35.85891643301157,32.904560557956884,35.54359170426489,34.83645162701995,35.798103665326074,39.79721737709858,37.26200929794087,39.73907219123257,42.561125611152896,43.849516519510075,47.1188701683355,50.175102533796924,53.36814906759535,56.459700666867214,60.78810190433069,61.53708740861619,61.611896788362394,58.99120060025711,54.7067886689226,53.70596699379172,49.586191291903646,48.69101567059552,47.17243366293673,46.58822646157666,46.75034157416243,47.64595384377442,51.75275655418514,51.92034695779297,51.779426464004715,51.641945677621834,54.392879276407584,55.53597116134191,61.48834916228415,59.278189261039124,58.78706726755072,63.05323092061611,63.90620913118202,65.8756247107041,66.01547942187376,69.98731553199954,68.38554225370397,65.1636148994113,69.88885629926362,71.05988016186757,70.15624003905742,71.56652010242546,66.1667361673544,69.63267255088945,72.15653189742703,68.31332878406174,66.11243108089042,70.65096233962946,71.3478480638598,66.62724462754089,65.77816491840113,62.570157800953815,64.47151475945289,63.72302246280878,59.98814865370801,56.116410657226744,52.436388418692744,49.39263322017428,45.60434946458361,44.95879931759425,45.18209511954656,47.05954227685177,51.931516736608245,51.02456344014417,56.0981846420115,57.539625082307666,58.96097358659122,59.83699192944749,62.33661128581263,60.87393212822242,62.410814655724685,59.245399396471846,61.730210705180376,59.56609451805387,56.82076610137918,58.0425533023228,56.815881099137876,56.014390855273135,56.24738503570988,53.20741883777907,53.84604961149492,49.87504876548748,47.4370649426945,43.88265033828735,41.5720552770812,38.71218552757517,42.09399484753362,40.282191016592336,39.87425059718434,45.166711570818485,45.45316163427844,49.37463224422312,48.80966828457328,54.088359401779705,50.08079866261163,52.36321460226662,53.354649358017426,49.38997435153867,47.4382383104996,43.63934163737772,44.85754909850808,40.692319138473614,42.963503006563485,41.58440089944486,43.383197980316965,45.2798083587564,47.182982723993646,48.922410413993745,45.667145719118935,43.207922746662426,40.582629207636785,41.00590973061177,39.542672482345466,37.696550540994394,42.0495330780639,40.42556737656511,44.86327434667821,47.31935434355337,51.26276656926095,52.446266735228306,55.982449969853675,57.772229648571965,56.9504219357178,54.82825069691431,50.8032113399257,50.072058810729885,48.31684881590371,46.855336394510864,48.82383082352006,50.679560642220665,54.6884906636516,52.59229001967896,50.610591996636934,53.067694614252716,49.88770127517454,47.743157283774714,45.54337395626724,45.072383072368616,40.83727048331266,41.1839489172782,37.24436282880751,39.7410292909843,34.62725799514429,36.21238577529422,40.13620388282753,40.727293552051734,43.27554523782975,44.87873599668535,47.36603327470757,49.56351944951463,51.29410534989369,52.09117350808457,55.76274057000972,57.867483661249224,56.49144627043858,59.077752589432414,61.34987237242615,58.91368448152951,55.36453661654462,55.142381183553596,52.61946281617133,55.17643882970753,55.13855704691144,54.61687009913453,53.917067995061075,51.17941720476196,55.536929133771324,57.43375485536941,58.30287132579752,59.14556873275767,54.8296585654308,60.23864304125379,63.340101129294254,61.00095587756646,63.35442536709177,61.594224044482615,66.67406663671838,65.35541987355865,67.17324897692413,67.84318799316237,64.56589988214755,64.31765218267836,61.933996265934546,61.78101566593101,61.64031788397361,56.86397687078157,56.98041880644885,53.70837950865553,51.29949983175406,52.356549800309416,49.35876150999908,46.96768971408268,47.91738975058811,48.06309075617735,43.609063288967256,42.928743549022485,44.81834506307603,43.35375947330245,38.729712755840275,39.69557523472037,40.05332959069406,36.156063416047424,34.88420090714546,37.597056082787745,40.117928544711724,42.01501574854429,46.488687181987686,46.74546145101393,47.60980309741005,52.98515276879703,53.69422590708112,57.83394084501522,58.48709058844734,58.136692990330026,60.57564760329994,58.79354364154978,63.58601737959199,62.52640914521475,57.561875781537246,60.57780384202402,64.65424909865654,61.12480125466807,59.57263625027192,63.38680048426682,64.00521141154057,59.999121483234724,60.32413543147681,55.68055768902145,56.960566250972704,58.6280267283159,55.77118527218932,56.604395455706346,56.939322310544,54.55237645876177,52.61641931964048,51.900453423821226,50.57288847599622,47.64562937786755,46.84329887325447,45.55900792686696,42.60034617094882,41.58973525386823,44.61068020127665,42.23676211293626,37.92714813579569,41.035915563078085,44.08029559141146,45.621431407933194,49.19437450015632,50.14259474105786,54.21700621435543,51.728720688014874,48.31279253374201,53.10928306262499,54.223868473603474,51.22338541740176,52.20389931248045,57.58502352220762,55.87379216170988,52.238541972335604,55.98113348718013,59.63497475285551,57.327179071922224,54.33303464198357,49.89070819763028,53.333939060215755,49.26323950209281,47.56367467552903,43.66858856813942,43.38972005872356,39.02607291022431,40.293453790887106,43.419199907481726,46.97923571676344,48.46210719980662,48.4685972653158,45.488179853055236,48.2945578072209,44.43660462582896,41.445456541011914,43.57217810798885,43.27163151684396,42.05137229126475,39.048819447825785,38.09760174325978,36.058968499346896,34.45981291360087,33.118371360518275,33.82157007460682,31.737273835254154,31.517942445523172,31.783775266736207,31.991218286399846],[32.65203112772041,35.5858298107856,39.91624113385833,38.281367010097995,43.318347607432415,38.15738656474487,39.85851062496644,40.19465096505153,37.11745789366462,39.57453955626861,38.73443278159805,39.760306318404204,43.74607288755541,41.03910227473208,43.37385666529137,46.29702474993747,47.60141760639733,50.69014583891539,53.590080545285126,56.929350205666644,59.878588996693225,64.28259479098548,64.9188316366739,65.01271295845991,62.528968061511705,58.19943142436208,57.38853308610909,53.32576405337339,52.440922030776,51.01870152951966,50.102471868261276,50.521243101176495,51.2410035335621,55.231280576340616,55.57964647353135,55.443516452621964,55.50615037484866,58.20970858028991,59.41019028926709,65.43424691951677,63.12927140108825,62.47963319769942,66.75163381606912,67.64237746591766,69.50875059314986,69.68913304891596,73.65984052523255,72.12699110304155,69.00729975264598,73.78346981957068,74.96201827547888,74.12280108177471,75.47431211824036,70.08346192082722,73.51968575760714,75.93744586225215,72.0506823767177,69.8289673266566,74.3095197465925,74.9549831382486,70.15065976545863,69.17222385822039,65.92342823996401,67.68550949351138,67.07367835634184,63.44851794923999,59.38321153946921,55.785247609212476,52.6043921581714,48.838197856600736,48.08567705887404,48.02931455254615,50.03256239751716,54.92586847389328,54.2212026008766,59.15625925941737,60.86577950352248,62.25671211460042,63.32040267462104,65.9359016466259,64.64304721578448,66.30872585227567,63.24547193838112,65.80773480488007,63.61491741870012,60.80083214747352,61.85078142216569,60.62390235955892,59.6245838416158,59.73567845092462,56.574609659006626,56.95960822349888,53.048921713971836,50.73355413788457,47.338451244200805,44.85240344567134,42.17008520013676,45.73918743413609,44.11528795392402,43.80040089778311,49.10515296412729,49.60025097371779,53.47066757250091,53.07229857201282,58.396566261379505,54.44070269694252,56.772405087391206,57.77280841035022,53.81124056278545,51.85274531148994,48.04745877991895,49.187466631694676,44.975405571830635,47.13797080358356,45.5949916607283,47.2978393691773,49.070766422536956,50.865827784163734,52.37235202341636,49.222517885510904,46.73765259191777,44.26356957639245,44.727485365493806,43.45294819049785,41.781951760659965,46.197517180255126,44.746631882884664,49.16510036555015,51.67260753914236,55.62622013219378,56.79831929974706,60.373302957801684,62.11070144209598,61.3079788161201,59.117355507375116,55.051742314601505,54.299379063284945,52.4506041336042,50.86265780331014,52.81319993956783,54.44488986089284,58.41108149907966,56.32521694194758,54.47635854023812,56.96100494541585,53.80831899334667,51.72113334769083,49.61268469887712,49.26782709509101,45.06116206136599,45.513310741335914,41.52096355024636,44.0006603156182,38.81152858757368,40.27931520393359,44.25609684830846,44.8482456454581,47.51392300939501,49.00179046953262,51.63528407908841,53.76531541779037,55.360211715007694,56.127354828480556,59.80783717979319,61.949653904741325,60.507077501947684,63.201467819901865,65.39236228392726,63.007641946169734,59.42325384795329,59.29489261800152,56.74985704657799,59.35122839528608,59.33682711163259,58.7904311207116,58.12175525235042,55.27689885242582,59.65555458169647,61.561985177030365,62.512259593052605,63.354551640920235,59.12794315765799,64.54448711193692,67.62984803339329,65.24131644774613,67.49022287474206,65.62808356285308,70.71446226552203,69.3001662588429,71.2464330782012,71.95149929562282,68.73260238765539,68.54088730396833,66.19856703564443,66.09211931523801,65.96697942405497,61.17761517498396,61.34192509197327,58.05164208178978,55.7031129525398,56.73830285371807,53.7760473335739,51.38101102123271,52.25749616805223,52.40626963233193,47.988771404255004,47.214163391983945,49.068814999435276,47.640704490275304,43.02816881517738,43.879686646041186,44.18470566757707,40.37919731199735,39.043459544389734,41.56761788534564,44.10821914298397,45.93104734970409,50.3858032796061,50.7982824091465,51.6095474940263,56.985380213416995,57.58381345405019,61.80437718606284,62.57409281601781,62.32807558220886,64.8179241276511,63.121502750402776,67.90377126609685,66.77710144885356,61.86525660961239,64.93385125627418,68.95932696470845,65.39060707439917,63.89718657343548,67.73772052459329,68.25309569759193,64.22705075968852,64.6374019715363,59.999332645166675,61.36545711907001,63.03375790305111,60.1596261463653,61.01199271250024,61.29060588116033,58.94596591339707,57.031837848519075,56.2419068217954,54.912562217889594,52.053197798849524,51.21425928110349,49.86081845762915,46.91844426001119,45.925333672416805,48.83372936437713,46.40409170517465,42.150793676179525,45.17947912781864,48.134984588837085,49.73840113497277,53.357166719063905,54.41671024325193,58.448486469162624,55.851125789638175,52.53537020146011,57.3752140131509,58.380906807633224,55.35869850179615,56.43990221420297,61.76673273617606,59.921213732886805,56.34491507427738,60.16773902155081,63.73305397049821,61.3047766492399,58.333668937933226,53.88741497809987,57.16312967167571,53.02945765433046,51.35180245284102,47.552492221016834,47.464161437277305,43.170191423916926,44.25761291989601,47.45796348814468,50.95034272995845,52.558677211895414,52.683906581549856,49.777887430682405,52.64953866246376,48.784470059793996,45.83688969302492,48.02084376366896,47.71074442327592,46.506655146899156,43.50367757255214,42.52182790637797,40.49717235142046,38.92774192233708,37.53738858589833,38.2078092920318,36.141487934757116,35.89615249105816,36.13258886130299,36.23667656592936],[32.901055354629186,36.09375782636439,40.52476476213129,39.579693334666764,44.56349597886963,39.219558031789155,41.1668117748853,41.16811479085162,38.486063925287375,41.373626142760486,40.53716547351567,41.095953507422905,45.439400595374366,43.177435887093516,45.36930879211131,48.10930391508089,49.70611830711812,52.95185922318466,56.19690220440562,59.281742635226536,62.44599672580595,66.73060727475121,67.60209698642832,67.78965949368946,65.13280437477678,60.864432923756304,59.77503881859051,55.61091539608688,54.49624759976434,52.739212550842275,52.01771142230318,51.950447292111626,52.568923804327184,56.7508793647377,57.130935878152336,57.28576098955512,57.00472585584091,60.09398688635394,61.35323006828799,67.19367827654762,65.24589633639708,64.72566499160497,68.92050870143683,69.90399190065904,71.98856083454848,72.19755083284733,76.14469294051112,74.41642485056438,71.2186864486484,75.91837181102368,76.95829016622268,75.93954503523332,77.28805219662,71.8847884124705,75.15457029699677,77.82746099281266,74.09911873243423,71.70998416747544,76.19866530081586,77.12266054956791,72.38470928658144,71.37136549475916,68.05868600863549,70.11800624459276,69.51182304425636,65.71595326971314,61.96400370516489,58.18005227348015,55.309551412379946,51.40031045865279,50.90383522196441,51.04212735848301,52.730319022851354,57.64888190673882,56.57474229035391,61.42766947900644,63.00299000321656,64.14965269951044,65.14122345556788,67.75199585226058,66.16622861477234,67.8510037994466,64.46614151520508,67.08302739406494,65.13000761481146,62.30972621272047,63.625675702609804,62.10317555351018,61.51294171902155,61.378440052040226,58.47800084832285,58.955096211110195,54.972367338294774,52.41927826102296,49.08845525578023,46.62403062864626,44.035065398204786,47.086709609916724,45.26960707708617,44.352722286669966,49.99786626987468,50.083704563230356,54.33103140838443,53.6495735016188,59.03763200385561,55.089624762529965,57.10014075343417,58.26018208652223,54.31854009362288,52.31597112799685,48.73716034306149,50.27307171737012,46.24857651128306,48.78252051414766,47.54687939043548,49.52269401483262,51.42052555138689,53.46798373188536,55.15787036135013,51.76617992013568,49.43233487857655,46.77305156251062,47.31980254998736,45.74122767647934,43.72414563892246,47.98632673176285,45.96931942199695,50.43042736676352,52.662622668261484,56.54005794158781,57.75208326647693,61.096571059237604,63.15081791193841,62.21149393606065,60.38725345454877,56.47918788319192,55.75449172396018,54.252900260246335,52.97953180589219,54.94816566849549,56.99908986079641,60.98786220531549,58.81740794198005,56.75483590087349,59.09920921251733,55.78554282265704,53.69127359216291,51.28253122339139,50.618907027896434,46.30445269721661,46.27602187942672,42.200327449794116,44.15259258937674,38.73777536022417,40.61137855368932,44.73294585316552,45.749741799897706,48.212902060988256,50.12259207618699,52.6132051045887,55.166741011379955,56.97317562320449,58.02919472404041,61.56793931579569,63.76975602679997,62.550733887983114,64.97323685120912,67.33281012127595,64.79522625632022,61.33891054397284,60.98767667351546,58.533549931578925,60.94126406984119,60.756047299078006,60.12149093862214,59.166293419932174,56.490839328844174,60.57345058376992,62.77547564616752,63.51361809863848,64.6465337838467,60.144050535495246,65.60149381478637,68.79268761717869,66.60880315619512,69.07664134617325,67.41537889163051,72.52195781620019,71.42198537110136,73.10407872208276,73.74776675319926,70.37636224954916,70.02391870105033,67.5344192852966,67.2219168238349,66.9364272417427,62.18534563706519,62.02773033883296,58.62677050824941,56.13818824151166,56.81615046924849,53.72698148987527,51.654798324418756,52.46327341938007,52.19310135664248,47.90407073538667,47.57133413451794,48.972672828944674,47.08195390860661,42.9405053958957,43.79306825995096,43.65119711801526,39.8783052017218,39.00418510891981,41.26139509651804,44.07087713467561,45.254507190334756,50.318951611536356,50.54641373294693,50.956752371727895,56.272856915130816,56.47513127270322,60.885412394544545,61.530834467251665,61.51604777022087,63.975561206832666,62.46730154232663,67.2966303820195,66.18086337081142,61.564852959283265,64.67694726805921,68.73643555460174,65.3342668013388,64.00461195249783,67.90868019388577,68.50545385980524,64.59179529712006,65.23130339364708,60.36927027945278,61.63017941421612,63.019867107820886,59.83867022361334,60.56354999158376,60.45096439994844,58.331317817687946,56.67136468798368,55.424228802810234,53.98606282798388,51.510605377421236,50.6020070530431,48.83063922583884,45.92920845609456,45.20348691786308,47.70378182029986,45.020064111637296,41.04510696080603,44.08043134659962,46.74498850438442,48.655132011804554,52.22578464548439,53.55262459216722,57.52275329742692,54.85562292261961,51.970710708199725,56.8432189065342,57.789373156829264,54.91166937963441,56.332781996139815,61.455695052089254,59.67144968236506,56.43369064150377,60.35294124220521,63.72851020907974,61.406578907020766,58.66482183933542,54.388182755507366,57.707136851479014,53.78836249705069,51.682934552129936,48.184597720472986,47.85952627586107,43.70263068056454,45.19059307499205,48.38101735845486,51.90351403213244,53.491637920548776,53.257375247023006,50.59065592260764,53.34254402495012,49.74042262965031,46.413151993999485,48.23911487020371,47.55749725465992,46.39296179131502,43.85649071046669,42.56663312735988,40.25213935571768,39.32090514512796,37.922757628588585,37.97692344069037,35.58274949350386,35.182468527426124,35.34710824197351,35.352162979132636],[30.153776160280092,33.21630293707343,37.351875362286286,36.412927964750345,41.023632339088344,35.266770578293375,36.93904349065095,36.588352388000814,33.80971928188418,36.70870587320815,35.65803908212991,35.99975504178261,40.555784630969846,38.45810841707308,40.401646743393606,43.09494731393345,44.94267315821499,48.15383265787513,51.61471897038797,54.56594280938087,57.82381642730692,62.05041951856338,63.06467309359058,63.412609313226724,60.689595482499286,56.447014896091765,55.25367516631609,51.03619293241795,49.69137113431869,47.76739702192558,46.9309513354026,46.755971894170415,47.252307622075634,51.46706418145774,51.93129304152295,52.24360118251785,51.91954311325089,55.219648308292406,56.624000950847154,62.40991741139808,60.6836031757272,60.057224341496514,64.18438577712487,65.32841212395854,67.55311237780292,67.92355341626228,71.82724589038523,69.90406784673277,66.81515432595344,71.55300931226581,72.38479200044388,71.29800289096443,72.52489540129933,67.11946495349676,70.211979635388,72.94785788755816,69.30113801185028,66.74475620138094,71.2014758559349,72.29632138420983,67.54129279129606,66.41967773495219,63.03809019617997,65.25773725409944,64.7172803394531,60.84381584806483,57.24896676651496,53.34775153984461,50.686213529309754,46.65537073668097,46.35629313193526,46.593024288305806,48.019411121532045,52.95627068447202,51.650896673098195,56.42823364620934,57.97910318262019,58.98575531985344,59.995723932328836,62.65855910079016,61.02608886010099,62.82872571917408,59.39239457059322,62.15701925698465,60.327971075436224,57.36339972390628,58.66249888572905,56.96731457453566,56.46703891994956,56.15116218752693,53.335483876098344,53.81620160089256,49.80470743245854,47.163588973350926,43.892331907048174,41.40072076619916,38.89147708385109,41.78947987620807,40.00099058915596,39.01952017451522,44.73961539557163,44.960642237365334,49.22577716794945,48.741419136904504,54.256343717458876,50.506590606076784,52.647287111227435,54.01379094531805,50.22093391139831,47.956151254036875,44.51840381649937,45.88041649006496,41.80399647163946,44.450478176114636,43.0759488009767,45.27400308411314,47.02345209543686,49.32191666633574,50.86231434517962,47.24799276293533,45.0998174834409,42.40566582994784,43.278008438837546,41.61875619112455,39.55261896282625,43.94863304028986,42.00012566379876,46.347601170297715,48.60985726795986,52.280907660849124,53.847575989280266,57.099542144065516,59.12501286354843,57.90979365614362,56.29936353585108,52.356528759864425,52.018124222726854,50.38075253392046,49.1502995917847,50.89599726460178,53.151024309200935,56.98648234059015,54.58918308688806,52.47951023411896,54.650417008621105,51.158697065800666,49.18509300100986,46.61060171484176,45.94748159406417,41.59583777587538,41.56695871391313,37.30435231869375,39.17707626006078,33.676332413006946,35.38034755296651,39.564954252755705,40.66854082732777,43.266218899605825,45.144452025903064,47.87187800667088,50.60867492610303,52.25248624176837,53.620741692376626,56.98815608854447,59.45099255020874,58.51766273389346,60.96023024482265,63.52629351323073,61.11255588553906,57.60498538381768,57.09807496289384,54.478575773342385,56.61517687035114,56.23106745953597,55.403713906560476,54.31454421115417,51.53003493449015,55.527030651981285,57.8789531160888,58.66020550115517,60.013060596613535,55.57299666432323,61.14407271094209,64.4065755817198,62.2551336686298,64.57387768170392,62.84347044974594,68.04640689900728,67.17674236516115,68.84640780616675,69.63991997273935,66.17461614820975,65.9931373280952,63.571251364976355,63.31348658132379,63.20891414352404,58.522385271059676,58.374973802683,55.170574902748555,52.41875919384436,53.33624952376558,50.025868931581094,47.951207917165945,49.18455569832005,48.914790374458605,44.46700130442917,44.499053677726934,46.07617070779124,43.97835419028576,39.8910415155452,41.130145470946935,41.106016368899326,37.04347372494194,36.43003956461351,39.183172590867194,41.92822172422515,43.26493889471354,48.39387170225713,48.24213868104514,48.757147576341595,54.05906371069828,54.44941292633331,58.67374237477592,58.98245622073806,58.696515254969796,60.93122602376678,59.10969730148319,64.01360860522021,63.199627695237005,58.425980503094216,61.300576060462596,65.58873272742214,62.34408906333007,60.77005627368009,64.5392307425258,65.52252909307775,61.66371356235157,61.88655042706922,57.10589438215592,57.92475340912853,59.36516968052977,56.26479003078262,56.73865211792357,56.69781958100052,54.29475371826847,52.815337107709105,51.809680005834736,50.100635491695165,47.534493070371916,47.00461252026363,45.25138689591843,42.2324167316257,41.75383903898482,44.533736637779015,41.822762456247105,37.85000883348064,41.27452624562535,44.075101234524155,45.9667222809898,49.34284058992805,50.359187608301156,54.49276024683152,52.19754347328995,49.111923369216264,53.828935796816765,55.14441860359282,52.36037365758084,53.47551054838414,58.7592418926992,57.36653705497123,53.956365412880785,57.61330613228193,61.27162097099379,59.2504950301499,56.414382366911106,52.115871124659755,55.807266548980664,51.96496874495673,49.9424248019654,46.16480928585511,45.43436667473578,41.0632736885559,42.87770555324721,45.87232596857826,49.5474172129307,50.8088266818595,50.357574224162015,47.30782024599213,49.780525687511414,45.999058300374955,42.74199460526537,44.215202859373406,43.63925933732202,42.11683384697064,39.73192746718595,38.832355761907,36.27931527473197,35.089536439709455,34.27471578909091,34.48246614702382,31.875360377216087,31.409175330790113,31.587275973804015,31.712631712113083],[33.37014540530154,36.20315612916987,40.00189725171085,38.77274392659288,42.99565018745721,36.956132077180285,38.11138047707495,37.44634857410884,34.28105547896519,36.77191324152994,35.23755109845295,35.50430491998588,40.192567685083915,37.96019572826479,39.361113971906896,42.17307378111736,44.31073638477036,47.14458371068979,50.57741937561811,53.61483300025198,56.73157115619203,61.00865005596459,61.99773584760568,62.579535634428744,60.01645613741587,55.73445427672385,54.748312591219566,50.577825817649156,48.989845198916946,47.0706468848605,45.509851891146006,45.707372729869846,45.769993054413085,49.78014773807971,50.64192465779132,51.115711365823884,51.12348973456191,54.541597542659716,56.21575548283526,62.05704077236624,60.419426298019054,59.38217277872527,63.43157012064462,64.8302076516525,67.03821884015495,67.68732861267382,71.52139670580763,69.47977435130326,66.72382064916522,71.5894347993271,72.17844719332078,71.13522003702988,72.10487212845045,66.72590301258057,69.55825708103826,72.16003254311944,68.53123126907359,65.75438137978838,70.06454547112823,71.25945923238378,66.3479021311333,64.87883843849573,61.356195986077935,63.51737019342256,63.28523962236341,59.51847439158747,55.7891936084206,51.89781842314779,49.25465881259217,45.1316682843512,44.889989234947286,44.783237861816076,46.09655181679924,51.07373373998672,49.84448754564421,54.29537778377826,56.25959495658164,57.066556500597024,58.41432800704274,61.32711893706885,59.962302092454244,62.120995121867104,58.851492044149516,61.9186913568016,60.168851284488575,56.91208053882028,57.86079434407731,55.995051330351785,55.223168214375725,54.51342544390994,51.57725549759664,51.63604184429427,47.706185215895616,45.203192601396125,42.279067506961994,39.47247238159597,37.36538738560428,40.450355457209064,39.067854795712044,38.314837636660194,44.01310698363848,44.849022872964966,48.93140334292918,49.03995300039958,54.737784299875784,51.35303298765553,53.79368706056189,55.39296324862783,51.81898877809941,49.23712695151673,45.94178200969675,46.856787362159174,42.62775718562889,45.150184914680814,43.28204702437114,45.55672297473927,46.88561056710604,49.29584242499186,50.239149775844844,46.5429248714748,44.586101505069074,42.129462874105215,43.4777945252923,42.06780749102853,40.29115734559968,44.96145113915138,43.50583783673194,47.63716092060712,50.066449399337415,53.48058413295759,55.46756364406928,58.69020716432801,60.52502472654415,59.01738845395558,57.51090467640287,53.44816772767768,53.570346296260006,51.5514054706521,50.12549120099018,51.54259746906573,53.64161204067245,57.19866751925932,54.534227191185884,52.61144039754409,54.6153676062727,50.9724845749058,49.25868928499727,46.68352292147758,46.292779267213774,41.994332031004824,42.247767237557575,37.734246998629885,39.58845818698557,34.025087438514326,35.15941095366166,39.4119029537197,40.50885891804041,43.493597638699384,45.03113338217016,48.31246070898807,51.07341286630896,52.23848565433735,53.909397607033405,57.0799738271816,59.92196282023763,59.2279089502322,61.90354465846264,64.58063516569564,62.44065675610687,58.801638485422224,58.2745088013978,55.39667353934482,57.27695929906986,56.703799261505935,55.605392119073784,54.45397348253548,51.33605822141531,55.2975097865969,57.78737149788197,58.78992879884412,60.36717960018619,56.22646050906126,61.92333620026707,65.21786752992695,63.00369326429938,64.91651480115685,62.90256484609132,68.22388251703612,67.45443723602286,69.34722448214472,70.40278386268682,66.94097611793768,67.09999451324005,64.86469274303843,64.78874249402315,64.97161986874178,60.36204479320698,60.365065217348324,57.4200891623999,54.46838654034733,55.72811179289447,52.242668278978414,50.10132788634564,51.76507603815175,51.59506393873,47.0110279591985,47.25305712234968,49.08613681085171,46.91025488627629,42.832535441392594,44.36256013578024,44.507641827343114,40.266050092289845,39.76252002369896,42.874966608222216,45.493680563822906,47.034966188885384,52.05714449141361,51.706865172331874,52.35281054766308,57.61975262104274,58.15121341126556,62.2201394425589,62.29478031179508,61.78409141668233,63.809381093837125,61.69351564154967,66.63942522685387,66.10850037254414,61.18216942072148,63.81085410080843,68.28569693204676,65.16386199619596,63.34263540403354,66.95128027800739,68.25577307900157,64.4273695577819,64.2031591824919,59.59628567118065,60.00238151789359,61.55688093203557,58.614377962372565,58.82135908640316,58.87227597144402,56.14249259499185,54.88145890377861,54.179553012097166,52.16766061968263,49.52361404014845,49.43609833413142,47.7190341657745,44.60688072928863,44.39814413784684,47.41691681083602,44.684646623562585,40.78709174029989,44.512272055451525,47.38156272984132,49.254753242297355,52.44189628291382,53.17295280789412,57.42704467110075,55.461715144421184,52.20745925253508,56.75673640530454,58.37347910275526,55.658586022951035,56.46725285863464,61.88703232279549,60.7775220466087,57.18761168361052,60.60237621705239,64.5047637366598,62.67039390304599,59.7175679715517,55.37026204722043,59.26123281887753,55.397941942814,53.59273363240812,49.56658006388961,48.6640796244442,44.12801529656647,45.990536793133074,48.83720169704402,52.581394385027295,53.61119212813064,53.13930151397621,49.68549395967057,51.916891598952105,47.863438641404855,44.87075037922698,46.058457780196264,45.69922392816106,43.748204127360154,41.46582621270687,41.10699390173611,38.387368788117975,36.75144183334347,36.60848944708361,37.12433390199369,34.40941435216607,33.8737709593445,34.00676917575003,34.17426711600285],[33.502003195159084,36.04903461755731,39.498958380936266,37.963543776329125,41.827267969661406,35.65719431570141,36.38461935569448,35.57801701480228,32.111476824290634,34.24591422032847,32.43019858105242,32.74580960691721,37.39854682202217,35.043526500505145,36.151519793479984,39.04079087900281,41.28030320751545,43.88283035993311,47.26704933406889,50.352620295081195,53.37570479787704,57.673904728807095,58.638286160406736,59.34062999509247,56.869992609563404,52.57883977265504,51.72016863030385,47.59892124999795,45.90571509409642,44.050606902054476,42.10208680195401,42.580869619168254,42.47534840417848,46.337492695325615,47.35737691274935,47.841627465958645,48.08289934269399,51.47430948295347,53.28027591164523,59.16256994747704,57.530876638048795,56.2569046445301,60.2637762317384,61.78533836190077,63.965373887292,64.77176064777105,68.55905060195141,66.46397890140105,63.909409363535346,68.8468010859224,69.30897604937256,68.31821127389237,69.1464574323146,63.79095313218225,66.51493240677762,68.99929495508027,65.36235808017918,62.50876813103423,66.73954931615835,67.93715514998634,62.9511205430847,61.33439568709325,57.76684314405616,59.86534381730241,59.764121969590526,56.06965623659039,52.26032818642456,48.39466814604932,45.751961085124876,41.603604214437446,41.38651459780893,41.13205962340596,42.38658349035588,47.36724387777471,46.19554319398078,50.524493682971965,52.661916743937205,53.43332634138212,54.92645002020438,57.94277914122513,56.76407839866524,59.08512015967005,55.9850307899519,59.18685355051325,57.432222046020485,54.02804533723206,54.74004243175887,52.85896445622696,51.87570912350853,51.04941563252729,48.01275743505461,47.89470977861257,44.01336376509186,41.6196998300532,38.829475214360116,35.89526336916703,33.95008334427454,37.23224844802882,36.10701223767007,35.6792703735209,41.20897764294022,42.49597100135562,46.33316223709086,46.8528794170359,52.60933623899509,49.45686429772512,52.1688956092483,53.86275985166441,50.44933794786293,47.68141759599197,44.44399899893278,44.963008312892136,40.62741631822921,42.98901470901984,40.77518219306161,43.06463114898341,44.1124327000873,46.57580278891086,47.15676347620998,43.43091027400153,41.59568796408224,39.29731436471326,40.943704073182985,39.711026397776685,38.16520409088468,43.00239399871035,41.97877636376045,45.91850246297704,48.49845305550491,51.73299675042629,53.99278758425172,57.22859349232509,58.85604174337778,57.185388982319175,55.682752063974554,51.53130506954007,51.98078666447103,49.66108548261015,48.086623793539175,49.26330747645033,51.242472445952096,54.59582115308706,51.77060643717989,49.979770633461214,51.880243155643065,48.17902753440057,46.63064266988735,44.109045651741745,43.94496979801035,39.73180591458288,40.27722640008385,35.67426313346272,37.68477095000084,32.242627364189026,32.88433737810132,37.077471263377795,38.019228519649864,41.261443328849495,42.47538985823921,46.0961722206968,48.763235870429554,49.59444048191372,51.4002334674894,54.45514662178916,57.513254719953174,56.96079355669468,59.807241398390495,62.53897515050123,60.61429103395105,56.88634807019888,56.36318744048736,53.3081439052571,55.03172116797367,54.36914053806871,53.129161721927936,52.01460455284455,48.68056063512176,52.6881177971112,55.163864217492126,56.34029879925732,57.971414248043686,54.09075258179185,59.834144027644534,63.1158355820262,60.82993788900117,62.445578351420885,60.23569992313451,65.6082494140481,64.87038819757687,66.92332777423233,68.15377059176818,64.72181791097766,65.13255472896721,63.05453312491604,63.140277898163916,63.55874206454215,59.01488863632641,59.19065331708931,56.48074573453502,53.4240556053753,55.02275596822208,51.463974016062785,49.19641554413639,51.195069222658226,51.21537387264222,46.520081291177114,46.82047521358215,48.95508591496718,46.8642084953947,42.68941816438392,44.453014541282116,44.85834358113067,40.489657476161725,39.97112366970632,43.44696724134983,45.87250634769341,47.742776057222834,52.49705559879354,51.99607762793738,52.8620318589819,58.09297829289384,58.88845449780589,62.72815100166917,62.64668789411661,61.86954560002822,63.73538472719764,61.33785224470521,66.2792451402778,65.9620002087171,60.8396762354599,63.25725936664377,67.84887780022127,64.78875451631029,62.735565442116936,66.18934251996362,67.72361371368368,63.91260114338055,63.2827071174759,58.87937919670107,58.9944618721538,60.70490687657209,57.985003830544215,58.05009110852881,58.31593403800981,55.29138300865281,54.085956531203145,53.77172219886636,51.61427163976745,48.775540887950044,49.01909867264993,47.506540992098884,44.337393771127864,44.21131660150325,47.543572846415685,44.928586518972196,40.99861374729751,44.917356188023234,47.939833498943855,49.662397686649804,52.701563237979585,53.106978219111454,57.45481220255242,55.78455886792119,52.2611461890507,56.642092906760524,58.515787664357404,55.829520676638985,56.282631032897974,61.847476449214504,60.97433589368451,57.16354306713702,60.330760313777944,64.47381373843817,62.79878694663801,59.70913147904233,55.31297836112759,59.38015058987351,55.498733181457666,53.95821936144781,49.67225328308637,48.63358334674589,43.95986376819019,45.818202990421284,48.503370267656955,52.28747971204738,53.09728141135179,52.65451222055301,48.847186513295064,50.895233131134326,46.61326591611936,43.91481432373836,44.97622943033248,44.88693338845839,42.64903771472404,40.30758726948225,40.426565226460085,37.7081413518003,35.58564191282807,35.9341515945069,36.84443824157548,34.203336777617714,33.70186913552306,33.862015289664555,34.153432915089155],[34.17107263904424,36.96731731487855,40.492721865381476,39.68736290947527,43.47247878864109,37.09638002419837,38.07654773912186,36.84600341700995,33.86622317122284,36.494492011123114,34.6895463504831,34.401178133643654,39.47397825190357,37.68544910125384,38.59186346691555,41.22516485130388,43.82434903701178,46.58268815241922,50.35637255431239,53.117783829745,56.37227904684289,60.50593464979237,61.735905620575146,62.556823874475555,59.90311077966571,55.70995854354229,54.535769076352,50.31952175411534,48.35130388659446,46.091865734741845,44.36065870206613,44.23263091393672,43.95669107591133,48.02449793350272,49.11588839917887,49.982009584282004,49.81291692398396,53.67702196056565,55.56455411630597,61.20255310721975,60.012512855634085,58.87599406228663,62.76711749409543,64.40849121398486,66.84105880202284,67.69497705461681,71.43952190263235,69.11103816550145,66.48928415908861,71.33292500622893,71.61158825962708,70.41495975179471,71.21414102234809,65.86823182583385,68.35485514423111,71.12815384728424,67.70013819484276,64.63113914978067,68.84814245416457,70.39090091026843,65.49672809090303,63.81730385505812,60.17224997594274,62.629655759477714,62.5542008701961,58.67483077896954,55.26428006436807,51.201407676210145,48.961050240405775,44.675428280029635,44.77459359091567,44.7549367355502,45.60687514721243,50.56854612275879,48.94963351047883,53.11951702812725,55.10110951012759,55.541588968804284,56.96222110758074,59.9767607649481,58.4592198971573,60.82296909553075,57.35152669891872,60.640914155378724,59.19720361461755,55.76934542564419,56.78005505385709,54.52392806172195,54.040302830996644,52.874975132686146,50.18452212903539,50.154326703532284,46.219116038110684,43.54335954992761,40.890975562300646,37.9988942396403,36.22176854298703,38.793075165691356,37.45276513978153,36.23830646265408,42.19534543137729,43.00985714081675,47.30136651815835,47.52933395324498,53.36679865563295,50.2765519306137,52.627082375309364,54.54268817775348,51.18479943467407,48.330432423779826,45.390275920098794,46.336908805245315,42.23278879743065,45.020576387982786,43.1630478771914,45.76094544525873,46.938561251527155,49.68189093077373,50.464017638954665,46.47867897522728,44.83796567621097,42.34243772278563,44.06987698361016,42.499671557439,40.56982583474574,45.214671347251006,43.56041760017554,47.5312872349415,49.79800709277515,52.90709217514414,55.25128497817558,58.20783462900012,60.184418956822974,58.32611462306167,57.268812425974254,53.305205046991404,53.81576879229149,51.87255126273924,50.65243861680609,51.83456398671286,54.27591331941853,57.639030184192904,54.724434264749355,52.70060781377247,54.42220228266931,50.53987810071981,49.00291330012296,46.13211825119527,45.59593984534679,41.27429814292772,41.245312580734655,36.52998000583248,37.85121983302273,32.10025523788974,33.215178173279604,37.59464673697685,39.090341933478484,42.09902022025676,43.8097682995117,47.28687409853923,50.46675644202528,51.515608172469,53.6801617339765,56.54478493506483,59.68873364397901,59.40900068365356,61.95115496317618,64.88331687536548,62.80537197756191,59.216665595616455,58.43943253884643,55.47655192236539,56.95369822711197,56.07475437485713,54.70776027547191,53.23851824445886,50.095541671797925,53.71569357949369,56.56413309863805,57.4995075965035,59.5056746998237,55.32727088556984,61.11971382057629,64.52533206260462,62.47860456915439,64.31612935443081,62.33193390815717,67.73421457845484,67.36486950148515,69.11457230235692,70.29085642396622,66.68713023218233,66.93717850088476,64.70984277139762,64.57291609939163,64.8321724486093,60.34817353200206,60.16889900409461,57.3651008028329,54.12358622397233,55.35378871738089,51.62294423393061,49.728258634401094,51.705192325894004,51.258515920862806,46.6946630167819,47.5328057132401,49.190006445189994,46.5598027663578,42.92917593341632,44.73902033336559,44.67814545010526,40.31762695017849,40.333666813221534,43.574071081257465,46.265388719531494,47.47906041902589,52.866086340791966,52.13029153141925,52.57806404670605,57.728124693991795,58.115963392170336,62.129934363536236,61.852631421757025,61.291805939160184,63.08026058279746,60.84494032526008,65.84694063604566,65.59400796971293,60.78746491271572,63.21136578549759,67.87249655695115,65.02211914004764,63.119010675088376,66.62074539811344,68.2937568724712,64.61548875797432,64.18765346026582,59.5550994139086,59.49208746442755,60.891320025225745,57.84150699395041,57.70918387202564,57.52735309843153,54.71230690680832,53.85136292227528,53.04910222189993,50.69977062667547,48.308821244150174,48.551669522676406,46.5526498640748,43.41133731259906,43.66164689240116,46.56680791215877,43.65233325068881,40.06707890375535,44.06302208101307,46.76878035533181,48.83244387663822,51.768709151794766,52.419674413061934,56.718733111557185,55.040926277972034,51.97583595111717,56.35783006178686,58.219821673360585,55.71166308056937,56.49336711417445,61.846737086456834,61.093685071918394,57.63028925155685,60.86646885102966,64.83206295900516,63.304976251269736,60.45225886349822,56.23631125990823,60.3737009290295,56.71909994042236,54.74963589116449,50.75713224449258,49.44439689325361,44.905459648706874,47.19669906212927,49.856424803149345,53.67910833008276,54.446153564110446,53.6025898591451,50.02701163344634,51.91039698689105,47.910880607599594,44.80924093616151,45.40489445700188,44.89955139712832,42.64009051932488,40.89292516589824,40.71832553602287,37.62341486386912,36.21146671823893,36.64029779775229,36.87176841888487,33.796207617443095,33.07923097393855,33.132647212266725,33.28245676021134],[30.298042435869338,33.20857646873075,36.91887478595726,36.25441206522888,40.27966725818394,34.044573749062025,35.363731690684816,34.375720384346295,31.619962117407283,34.558218106748456,33.12778520784849,32.95262028261841,37.91647685886489,36.1915199002842,37.58080851268009,40.14706743529602,42.486796234097575,45.57157874271804,49.368815675211515,52.07992012674346,55.456332402931785,59.56523445965872,60.80886458761774,61.43373264753625,58.64413375867345,54.467671936213705,53.12863942097751,48.86127153094147,47.10148379700568,44.85817274671064,43.738392620385675,43.33933074241069,43.48098616069221,47.72985621352039,48.44888641494018,49.13221389955693,48.71431796445833,52.446616616620915,54.110171667725005,59.74021911211103,58.44246496231277,57.63225972218102,61.607524783845065,63.034542561478155,65.47709006475715,66.1085555252773,69.91751467767774,67.68782925491303,64.79710315882055,69.55533856877197,70.03890493392777,68.81843809237161,69.8328322405467,64.45084734225189,67.18333244336429,70.04755551115008,66.57862186277724,63.70920477038838,68.06557953327071,69.49445329346293,64.71753806290181,63.347732946137235,59.828386949557824,62.317490014889735,61.96127288908925,57.98896423279599,54.664958730996254,50.590829380636514,48.306711967389475,44.09123084025703,44.13022137670304,44.41773311195605,45.386755536342406,50.32903242609094,48.65892128880412,53.163876509500284,54.776375303672374,55.43802991266109,56.556522987825886,59.35227065813457,57.63109761941742,59.68691733541895,56.10677946066508,59.14304163602515,57.59652145764875,54.399409344548204,55.681120660596804,53.60613927697942,53.306675038022746,52.53330562453732,49.90659392380018,50.26891376305958,46.24756147962691,43.46166121796534,40.44966590693584,37.83738360540236,35.64935087125724,38.14570581889354,36.4525577340744,35.14278680262126,41.09461236880138,41.455266780738334,45.85789362995596,45.6393733492019,51.34952822724069,47.955003914518926,50.141242904321956,51.866615374831085,48.33502393253973,45.70044102630108,42.60862765383941,43.83912807867899,39.80228609783832,42.672201930463984,41.15768843917674,43.70333860374789,45.203700101464115,47.872794638187194,49.12933182644309,45.19468409354407,43.38774645457676,40.69142192035835,42.067525865090424,40.302106243005525,38.155670516669254,42.63802947897472,40.667212101281706,44.800478991432065,46.985007751383854,50.29865245207515,52.35389097413995,55.365639025925155,57.44764795599449,55.80823232438101,54.634202217319945,50.727777169885094,50.923241528401654,49.215945055351575,48.121060789714946,49.53761032461349,52.099929666520964,55.678854436271806,52.95626968936357,50.78549506211593,52.64912051941881,48.88043703660552,47.13040736258812,44.26719898993688,43.54425211991984,39.16362707912949,38.9755134968706,34.42953539884335,35.87848252289223,30.17307118224824,31.701185415846577,36.033333104850385,37.466003683692286,40.21003999540861,42.14787639212853,45.21757375972938,48.34370628820456,49.7538182932269,51.66565939045004,54.70535719134164,57.561849802550384,57.09353326437662,59.4868260393929,62.34157858658738,60.07616114671499,56.56419046935805,55.80599046516974,53.011027084000766,54.69234583159527,53.968954175952135,52.8190205361715,51.43236242731534,48.52459761253405,52.24052937800042,54.93772700179223,55.725713491648406,57.518686781408455,53.12644054881302,58.83955556385394,62.21837852343298,60.1904764085111,62.3227949521574,60.53592213795608,65.85686748325247,65.39111491698574,66.99201114274584,67.97991127681145,64.37476048473575,64.38936406935498,62.035138997451,61.78892866300787,61.86869861168311,57.31778012931948,57.06914170317831,54.100229846730784,50.99025572158977,52.05095148701018,48.435516027988186,46.5293770629163,48.25545693599316,47.80129987826965,43.27946170116469,43.951141098804385,45.51864018298739,42.98436045114527,39.26468401365122,40.93302029187573,40.83776176165895,36.54010194668034,36.45603740805238,39.57622550632384,42.31043426608591,43.50001794851883,48.88901761831402,48.25445135225897,48.69090441429333,53.882302109871866,54.26853387882702,58.33671985864969,58.20973964467224,57.731673561317564,59.6586356440899,57.56408741259913,62.54614288008785,62.11328817734584,57.334677428208394,59.91327112148074,64.46334106215215,61.5079727379407,59.72717790482895,63.330473466247064,64.80191938031969,61.08393995265931,60.90067807214622,56.17058974310739,56.38435969673101,57.75392239920653,54.63973672258073,54.71186747455917,54.550155052097054,51.90381869059288,50.82929413356113,49.910665666134875,47.78590298904618,45.34937343267285,45.30666520851717,43.36219551247554,40.253687205599334,40.272096776439916,43.13235875903533,40.27340550367118,36.55132618715695,40.39939104611858,43.14529869967444,45.16236581385006,48.23070891626238,49.00073973247973,53.25610201052859,51.39309966268772,48.333196148123626,52.8238821416921,54.52982523894448,51.954680672756744,52.86087294882033,58.181289655158444,57.268744384765945,53.85221160023208,57.2155872006835,61.07793071823567,59.445058500630346,56.62737595115105,52.41786623438937,56.473963730036985,52.824630695075776,50.765359644176215,46.86137578661889,45.624516928599874,41.14420294056899,43.418842260196975,46.1520419454816,49.950200485673086,50.83184893113252,50.012853550379276,46.63861591104078,48.68543340489333,44.82059808071396,41.564754792640436,42.393371545314395,41.796295322995974,39.81322086730846,37.904784427934175,37.41499530365477,34.448173724670326,33.228577519538845,33.23461158108891,33.35324795882147,30.37912700064986,29.747587641027014,29.878937609313155,30.055734301829244],[27.985941833864242,30.622663626875518,34.139476937011175,32.98172530604196,36.91604276979999,30.708998658378306,31.789321544555165,31.00590570589898,27.923486584283914,30.601460030170802,29.17725160875993,29.343514789745324,34.07587114335273,32.07510167658129,33.62958159276649,36.31517394816835,38.44501454105472,41.51014339171879,45.15445120681982,47.992563641286345,51.29494558270414,55.47065310776781,56.608513814053275,57.16506421337688,54.42451677034161,50.20740047025174,48.97701425424475,44.74007073500693,43.12494944337498,41.085365695094254,39.964540631052124,39.8359238784906,40.16822888227481,44.34606270109745,44.93447521307914,45.374803081643805,45.137856936761935,48.600447355343334,50.20262905087276,55.964525303494156,54.437171059531735,53.588837044452006,57.630699480853814,58.98092092497898,61.316989963263914,61.91998955297072,65.7512709885425,63.62408605714052,60.749578005460044,65.55579556685734,66.1317682048295,65.01587404317908,66.05799721583197,60.663723519264025,63.552011764996934,66.27354226239457,62.69014056759973,59.9572728202621,64.34828159669878,65.58535131553414,60.78384286804329,59.50770163035532,56.056088851247374,58.388128847683696,57.95238505010604,54.042169776050365,50.56441835053101,46.567458424046144,44.111100047690435,39.96279154564789,39.874274827851515,40.17305345968704,41.30547945503463,46.24715220690005,44.74162763922024,49.41869449357841,50.991706645535544,51.87983102943801,52.95415407531015,55.700779196680955,54.12540562765764,56.109953105149685,52.73197951514799,55.69727517248716,53.9611886554698,50.7891017048437,51.94010774495404,50.09967447582347,49.5617759346143,49.06017710284093,46.26713083307552,46.707165086580815,42.68452274687778,40.01099416983674,36.82231115715549,34.27100109673363,31.87831605167796,34.74171115893929,33.10234166930368,32.29192491808711,37.96112188958004,38.59457813341692,42.702671025998015,42.660230212320165,48.324916617121005,44.90137628633816,47.36274470903713,48.96617030387152,45.42830753716297,42.80085209029791,39.53078476627126,40.43928176686821,36.24359042097393,38.87905684962693,37.157422259136354,39.57603430157849,41.018244416861336,43.58766827303622,44.79335361846364,40.949286168186774,39.05465681806265,36.41275115484596,37.77352627231585,36.14186137556445,34.17720980281281,38.79367229803527,37.222680303601486,41.307410449224946,43.70212116467722,47.05608191622752,49.12934743042018,52.306796641794676,54.1489775884009,52.581493997884095,51.158016019016635,47.128355679608326,47.37037164568003,45.407911477006,44.12723457966449,45.5019497162711,47.87787493513361,51.436875651868355,48.73523155933462,46.65742268346644,48.60095948962471,44.913603323258755,43.15060491603179,40.457377107561605,39.94077441251741,35.61272890566839,35.7953693013561,31.303736947813817,33.252462173515426,27.7781513552603,28.96021740870139,33.1614242465709,34.21401963230065,37.10944849519743,38.736613428981705,41.89785417652199,44.72509091195369,46.011385870440044,47.74337548294161,50.88134704161277,53.70661143394401,53.12960429024133,55.69226864046821,58.47284764286855,56.3200851982029,52.71818721037113,52.07229578856514,49.1934855344209,50.97657239420713,50.35892124138464,49.27400851216465,48.10112795003245,45.080815315209975,49.05180129709318,51.508638336631776,52.44169302646351,54.00722947404155,49.800002564388016,55.49798125091664,58.808567638777475,56.63613334174128,58.62834945915441,56.71695126227699,62.03132859061118,61.38629361639258,63.141517513448136,64.17745830071819,60.6548376550808,60.7905572841037,58.54058115945675,58.4461629151112,58.6705826484413,54.099456039230695,54.092940563666474,51.247588506099085,48.200566275167645,49.59533322210369,46.05419612062791,43.87446299718106,45.74017807114373,45.6380673321853,40.98429882183956,41.37261419781849,43.3474371405236,41.17488285435312,37.07406446783906,38.83520300038847,39.146656447729356,34.77367355452095,34.3727709513578,37.83597458509266,40.31576408063311,42.0614235693616,46.94874789460446,46.35459108466682,47.14860748093166,52.36809297943372,53.14077929704826,56.98096423886684,56.898389832119825,56.159715701536605,58.06840758029151,55.7581365231513,60.70098092327016,60.31026527662892,55.254258212467235,57.75021658478189,62.305283005517765,59.24740601319765,57.28628154673915,60.80988440195548,62.29113931326529,58.503519976128864,58.055074192613105,53.516972652293404,53.73415403563606,55.34293078121162,52.507742880837206,52.6650375955563,52.87881836005234,49.999680950649534,48.70198904252354,48.23982123342125,46.20490533406587,43.38886821162658,43.45485504821188,41.923637424055165,38.774431356280026,38.56108195444297,41.845906880825,39.25347178933626,35.27541700614623,39.161659287479424,42.195710432997714,43.90660678461835,46.97106181458102,47.43392928783269,51.761728230542076,50.037463672881906,46.56053460775597,50.97747571878658,52.8080764658334,50.13929377059103,50.687257280589584,56.20114608382432,55.33516760109411,51.6144866959878,54.82676948947425,58.90270921793849,57.27084004776252,54.259190368439256,49.92968830485648,54.05565476053772,50.28941098253149,48.576298929679005,44.37966120748654,43.194620319253964,38.565322570597566,40.642740468981565,43.30841184036925,47.11916597509158,47.912807401454444,47.29946919717705,43.6505723979906,45.721321601532004,41.61943719743744,38.670705912289584,39.73738812243505,39.48627112055336,37.43189076953009,35.11673690430949,34.96372064187546,32.23033196585987,30.390216540249437,30.519722441428296,31.21387119178986,28.54840749187313,28.079813513233557,28.320162031159846,28.666111197358653],[27.61882407072236,29.97844516699471,32.870305361665906,32.20007965371361,35.31506001527897,28.67252942430591,29.36209159042962,27.761493241436266,24.909781326099726,27.738818223661166,25.960363844315207,25.352045245680905,30.581318467216185,29.246389723141682,30.171453901464897,32.57490327359905,35.283634622574574,38.29920788545785,42.41445310164757,44.83476970630128,48.34730417129208,52.30400609645532,53.77476497615295,54.61147578152521,51.72388264127325,47.65459413336375,46.13246303000354,41.84458603060008,39.74624294062785,37.25886879081436,36.06608950451629,35.44119157803335,35.467103526250895,39.77453935957259,40.52976342755636,41.418093568928306,40.90591747101241,44.90731864465452,46.75204118656783,52.242669645770384,51.28435149159754,50.354198449606024,54.192522744717856,55.823156771072135,58.45555369154164,59.301100447649546,63.009431773061245,60.51831717053566,57.798428125089984,62.55670782599339,62.74966485284598,61.44029738563012,62.29090970332102,56.937172803600696,59.4333108657042,62.37373834302868,59.035239693495626,55.97996200365891,60.28381367551937,61.92633587607871,57.181270783831934,55.72867504472972,52.16891738002031,54.89428265521404,54.56992858145972,50.49158763974588,47.48648336117306,43.265315060939216,41.379229686877935,37.05163320475445,37.44366464349752,37.99415347822122,38.484418782385276,43.35938307704845,41.29342232813666,45.71482714960381,47.15422450997653,47.65502866697595,48.711949685103534,51.51722462441445,49.70956236749322,51.88563150066157,48.259974172842256,51.46776962257673,50.089485071507596,46.7260796577442,47.989144064253445,45.70473571968467,45.56536373800403,44.6124047302368,42.15320442644471,42.64112622653252,38.58435073646157,35.64646111987091,32.6763338326136,30.13324776244741,28.040628437657524,30.180038567288857,28.508558514100002,27.155311280712617,33.12526885925094,33.74299730543014,38.06983882822531,38.201188099951935,44.04292209315907,41.00944485416562,43.44370885243199,45.445458750269935,42.23184657122444,39.2155360248692,36.41505080373288,37.25012213281768,33.216944326428035,36.174538567320866,34.46157051762037,37.32339523097203,38.55368219027958,41.58129423827638,42.61895536406998,38.391665801525335,36.947556569180136,34.2423150748395,36.12271614063058,34.2632537928942,32.10805000318528,36.65631702795356,34.92371541080426,38.70128250287292,40.90763840052217,43.810567993133986,46.406826745207354,49.245103907716995,51.19554240422269,49.1575533706181,48.29987807452253,44.39582034812545,45.22953295169457,43.320919044979824,42.32042897490979,43.3290665873899,46.17650370461386,49.43799130085394,46.409968620443685,44.18965491063056,45.73980711294297,41.75137835299185,40.22504364510435,37.14512258067078,36.44928584113512,32.11414808177798,31.98386135475447,27.221548997745632,28.58050725914237,22.91762863424144,23.962582292714213,28.314364906883725,29.815015255599743,32.770036457189946,34.57504613739823,38.00470714566147,41.3392805431761,42.4582232262648,44.82968750261732,47.55433498353396,50.76698520595966,50.755380752187904,53.144594911118,56.26004599217058,54.234483544311146,50.7063947082438,49.72628254792449,46.72167916196015,47.94359714476945,46.92795767423905,45.50107120234379,43.95226807787229,40.894224389833745,44.48035275729793,47.34140456975838,48.2060376488247,50.2776176072376,46.065273011058835,51.87974368152517,55.316906325693054,53.34220099768387,55.2079629436128,53.332545991410676,58.73475745808937,58.61094605043168,60.181312172721206,61.38325746145316,57.68932927412441,57.97782883190482,55.77498935296162,55.643579459007704,56.031431028494666,51.65598266017682,51.480335290381824,48.913049826944686,45.47751451883645,46.98051498434139,43.12639051859049,41.19588687964747,43.595994103011215,43.25459710857285,38.59642925244877,39.76303151547703,41.654769816844514,38.99959573248494,35.43375656912875,37.66300215513942,37.871003113448396,33.332961233353004,33.59216793952076,37.379985018209545,39.79852069046779,41.314593608758415,46.42893339264464,45.270533070825024,45.95270317193447,50.967297660334665,51.742477771582145,55.34340291832682,54.76831497800769,53.81094431109361,55.35514956534437,52.759458624599844,57.749057575003235,57.78564825000699,52.77517118446112,54.91900528115294,59.7329965045487,57.03216875602833,54.868019831709155,58.18067516045194,60.204632549395455,56.62197490825102,55.748302233969966,51.284570185497586,50.80784781558162,52.29851143966159,49.45562905621862,49.16376386146428,49.24420006050331,46.120932457710936,45.28459477444212,44.92480050759671,42.45410309814344,39.80467085405329,40.42430238688937,38.714472956062146,35.513105710814756,35.86753043973942,39.20686905592423,36.51970332195548,32.901221576989066,37.18904221073508,40.11989669596812,41.919372067264945,44.581109217931406,44.74121649997709,49.15646712745042,47.94999282469172,44.54379996600561,48.639219590579536,50.89505330624977,48.50389051235133,48.81452777564984,54.29664010809938,53.99493686231958,50.33244391649825,53.173697616025855,57.426399867503584,56.265897896816824,53.33019894522787,49.18255765867696,53.681458567910276,50.21982738712858,48.44297547524241,44.204778671440074,42.421532599849705,37.78096664867628,40.40727768417199,42.70644762350695,46.59563288724494,46.93159364415455,45.84973774329094,41.91682164145382,43.445422189584114,39.357599073272574,36.40155314813769,36.65490493692915,36.357077210453916,33.80633901651836,32.12653994481364,32.4352760668799,29.259692337601855,27.478564925240224,28.603590581527715,29.129905862428352,26.106874451920877,25.468101335987654,25.649115766366904,26.069156464986143],[26.83024266566883,28.76100362715428,31.28374657197861,30.00426383135414,32.84776569467838,26.255252351277978,26.477258373477802,25.031944367935232,21.669737054887992,24.02119121903307,22.074522046148612,21.859618998969985,26.852986555001763,25.15524090723705,26.10471142137254,28.694778952510113,31.251000534249407,34.15160464773527,38.10498446990315,40.69074860622924,44.096261820645594,48.145976319938526,49.500098921573475,50.31327460450045,47.514428276905946,43.387713601492884,42.030915922790655,37.78283069270617,35.777738045715864,33.5253882961409,32.14075256481166,31.93744159817237,32.09066001300782,36.269966856768406,36.96297829055914,37.60145481304509,37.388234108163836,41.10624144178919,42.949672029131946,48.610857017756125,47.4105357557588,46.33555316290784,50.236447594719316,51.84286548583258,54.35649292574205,55.235282145223316,58.95452453481696,56.54785797972418,53.92287838502037,58.764908764099786,59.00706402587694,57.82262466161397,58.647428341471326,53.2841730602898,55.89958431786912,58.649360455234856,55.18202596333758,52.22988999912054,56.544726275622615,57.992230683644394,53.17807707165235,51.754264017170655,48.23537151325858,50.775393607394136,50.42693755355536,46.43203483145444,43.21790167447304,39.071750107722465,37.000177359455975,32.705601686013566,32.984473314421926,33.49101724930897,34.115951341708936,39.01420580551492,37.13438855842417,41.70023309966076,43.1855717578242,43.90897358348733,44.990328858658444,47.80070839545765,46.22317029468581,48.401892209643485,45.05260866111641,48.24536487606063,46.66476781606624,43.26136354999094,44.285271898940664,42.233383725658584,41.74644280430946,41.022593276518826,38.33040750254587,38.82069827719639,34.76797587983742,31.984284560120685,28.864572408974134,26.30914586253423,24.046742604475018,26.710212238213167,25.219106806979738,24.600515536887325,30.174381937583426,31.307086625965837,35.20017555721166,35.70531618096707,41.51107766170252,38.54848741945718,41.36887131633429,43.27055012826466,40.12425826261891,37.06245490830503,34.112889948153686,34.436589735858135,30.197566234499593,32.82684731979128,30.728592503527626,33.47127511617007,34.51115046725951,37.46746686109077,38.28863103480359,34.12663381171337,32.64676672465908,30.062543962992716,32.08013065557921,30.441687829329055,28.590021055107176,33.34677855974325,32.23143691059354,35.858888709185806,38.336260249454185,41.203631622232024,43.909954224614076,46.91595638061515,48.53878038671719,46.522468644322,45.40554842090892,41.346127619701136,42.350400264819,40.063582298788724,38.809169022748385,39.67191765286795,42.27042604194168,45.42912443004837,42.35203096838553,40.28361182167467,41.875010522065395,37.9364594759052,36.468393212165644,33.58572360110879,33.21557284080847,28.977117214853024,29.389350296335277,24.661024026577387,26.64260640494871,21.364733547724615,21.733369374029348,25.8888363009232,26.885522510708483,30.133128056998764,31.445275392342346,35.133353595835636,38.10683387820149,38.95061733117058,41.194641765395396,43.97742886488245,47.25359260452544,47.1782728139628,49.810318321239805,52.864163859613875,51.032916356054905,47.384201478543496,46.52598509047011,43.36904610224285,44.63656130372857,43.69686847173831,42.27950146268687,40.97085259962662,37.69487457228317,41.57624068625759,44.18128005031018,45.27111645192605,47.13074992259669,43.213318329125144,49.025038848847984,52.38414285252547,50.23225280403775,51.837263080413706,49.75207088893413,55.17375754027694,54.87191484916007,56.668788583810034,57.9826911263281,54.38885737323896,54.89220222490421,52.85512229625504,52.937193119772296,53.55069208024529,49.18919059143909,49.321635010491356,46.96392422898212,43.58569310490422,45.52350511275579,41.75490694080979,39.51752599906694,42.14007424653038,42.21606390154928,37.44297929769868,38.31615055446844,40.684282743859924,38.45429009538826,34.52638375182819,36.86980345272714,37.54294344091888,32.98610691813671,32.90936593425366,37.043298263346585,39.13172512511587,41.24400715844939,45.74526098505678,44.61988396904595,45.69534503929709,50.68383685391676,51.8875603824035,55.1922673901117,54.64127183907522,53.3832967366912,54.86790206813426,52.01117725194212,56.928966801626586,57.05405475413114,51.75244247344052,53.749386265874485,58.56902539582846,55.7921934441139,53.40090508771294,56.57736577881811,58.654818791143455,55.02177654606021,53.777601130828884,49.58926505038822,49.040253000682654,50.81353296605704,48.333131720875656,48.091048061102036,48.60596001013298,45.190887391323045,44.15060976735791,44.36239243245842,41.96821235442151,38.9069729053363,39.725369505704464,38.507655265350614,35.299170293313544,35.43477565912447,39.22376128426806,36.86717992587164,33.05524999079261,37.339706953085795,40.535690321534226,41.98309038611115,44.58258229047334,44.36853171219408,48.83297590201071,47.83120835127597,43.98983623020192,47.93693438551917,50.35004495072371,47.88938384491021,47.76072364350856,53.42940863415292,53.217617930072485,49.23107159131231,51.84635291258775,56.33854725943439,55.212241830579295,52.07124996772337,47.820932210443786,52.38419048461564,48.820656849845356,47.466670118270905,42.92319516542541,41.192477440547876,36.42571724361896,38.80550566593608,40.97238998937938,44.84503896268094,45.03860818932113,44.190320673095215,39.903917613093874,41.38914672597798,37.001127987034636,34.49963436924223,34.957302195986145,35.11780676972902,32.425958617491126,30.312358703928993,31.143005470611648,28.271084248561937,25.675799828020818,27.10681958986208,28.359448412422164,25.755031142089685,25.31398495090707,25.59397500525817,26.196232298745286],[25.80500559353231,27.489439929887574,29.46083641789791,28.820892443080663,30.945327162977335,24.11734956556327,24.15110796761603,21.956989130981647,19.120556043343562,21.85165157567616,19.824317936083858,18.711668956126545,24.16767411227446,23.350601120448086,23.903080652735753,26.058828002604944,29.060572027513007,32.099490328279735,36.528011570023466,38.60359244291736,42.28067820643492,46.05329661385809,47.74893357548725,48.71643038186619,45.701560731715134,41.775619625482186,40.01525901951638,35.71883525035178,33.35002317118054,30.619574383531297,29.607674216923336,28.623832125102282,28.714232201151965,33.14070468000968,33.767381942793584,34.78815314037459,34.08758747133654,38.301500541643506,40.24385655396757,45.57867830891376,44.92012418725921,43.98476074596244,47.702565600955666,49.45480790975302,52.267976184692245,53.2447183510611,56.861881141481604,54.15862313100726,51.527162239696956,56.24307765984907,56.22651308620926,54.82414068657308,55.58728917154413,50.25929169816466,52.61137716703519,55.6460194864178,52.42135408825665,49.26653871053899,53.5639782690643,55.361799945887036,50.701964496946445,49.29177796048716,45.75675925433753,48.714343174465924,48.31274565344267,44.10948457317593,41.4778744989578,37.13020495862782,35.66660109406877,31.30107392142637,32.05018289125694,33.00648194555607,33.01768833164051,37.7491200368316,35.26508859149415,39.7093622335757,40.806900977611384,41.240749887137106,42.10542913936014,44.825855113707554,42.86433176845013,45.042137295049265,41.349906380953804,44.631278984012056,43.377291689411095,39.93605882524276,41.26770395423801,38.85063958362102,38.9384634766358,37.97257913328267,35.71862764840776,36.50914874792632,32.412006371619064,29.28611363618151,26.21494593563484,23.920001094947065,21.769738976005428,23.422026735815642,21.6233111879363,20.232917872123963,26.17427222784144,26.943781762991264,31.182658409660153,31.562044720859042,37.4720546802938,34.73494696645957,37.3943855628605,39.59505462689575,36.68911342100162,33.37159739797459,30.855250281558682,31.307958305407546,27.34409431217483,30.37295791778863,28.572520194010252,31.723981203449416,32.75647117363056,36.10526518471348,37.067847613844556,32.59854526224814,31.510471895392847,28.76650259887939,31.03896928412263,29.047094475719813,26.85931538445406,31.337553154122254,29.81807272066051,33.192876796251554,35.38106174251654,37.892507937012496,40.93657893176696,43.606121140484554,45.4208639317919,43.06559189821975,42.478539950554264,38.61884649481319,40.008776081055316,37.97377852078842,37.11678624643453,37.75994529323543,40.904146455801786,43.87991235436381,40.63018104079795,38.330224134187446,39.5893877047746,35.435969264014574,34.087449442326836,30.802921333207316,30.088392210907333,25.829761389236808,25.74434101688283,20.847476356603334,22.19258084405006,16.734945042981668,17.215824409791203,21.526133232361147,23.031427102170912,26.139374622574064,27.834750413193145,31.517227823765374,35.015790025923145,35.934590564734386,38.68542735340195,41.12912004726564,44.60165131695862,44.984877894143786,47.31441710104668,50.64150502761199,48.81366166907917,45.31881329091984,44.134205943504504,40.989272004560284,41.800958304094,40.544617434802404,38.91097401481193,37.24080327161898,34.100899938129565,37.60034738749141,40.55281017103563,41.458614939320036,43.724687621096784,39.65526379490929,45.52430329577361,48.99402633493358,47.074393880565374,48.74967839453468,46.84896679853225,52.289894635245695,52.4642618013651,53.96156831214197,55.31064727662411,51.54997579425636,52.04118368471877,49.967619575228866,49.928339562141176,50.57414731313873,46.38351909268576,46.28267395426356,44.09834613816824,40.430374186831756,42.33605011382464,38.34218293638088,36.38377476286114,39.35823676242252,39.169262853062385,34.47127315677936,36.026007769155534,38.20312113357746,35.56483897168134,32.18849206175572,34.86073976521925,35.381561899636665,30.790601562868193,31.308838598319696,35.576219396665834,37.60921629567099,39.427975186847185,44.11785610630482,42.53692504467804,43.46304119537907,48.232643684316436,49.39796222486047,52.5020886865014,51.58083943202845,50.191142523392706,51.39903754574769,48.37778177098442,53.31137741374798,53.737799015371216,48.54486985099109,50.28826778102157,55.27200588560355,52.79627518023299,50.3093935919089,53.339321935530805,55.80491977449737,52.3652035038049,50.891998426061114,46.71845350280828,45.658440837450236,47.27050439127122,44.734207474883526,44.16244860682847,44.53188769132409,40.99837503169778,40.314065099897306,40.53495474192706,37.845107753783665,34.95973198937055,36.163586253068736,34.79697921135289,31.59126687434552,32.17284846506265,35.93069906979529,33.538640772556775,30.07788666216967,34.59355383024807,37.65371194970991,39.15338015228628,41.41184044311633,40.98906059155104,45.47427095192224,44.86162653826453,41.152409548504146,44.82384404393876,47.5271026693512,45.31717728088833,45.06327161743915,50.629047501928525,50.85179942428685,47.003156963210934,49.33757042078767,53.890003476805646,53.14856531063908,50.136112193723584,46.102433690766865,50.91422636075649,47.67161315554888,46.18927157787896,41.74061022546029,39.51644116727466,34.854015527889494,37.72024708619416,39.56530228310578,43.45069087068874,43.291869598632324,41.99944435815548,37.62362444298009,38.6535331366639,34.42292103965615,31.821741291511927,31.56137693497271,31.5997779570817,28.580069631374144,27.083421273409563,28.18520783995506,24.967330686668298,22.614366971292533,24.82039682071788,25.786135123359543,22.943261813113597,22.378367349896255,22.626484285607106,23.280575408429083],[26.89046593843711,28.049872881394098,29.465708916397436,28.241260548676014,29.818045849369454,23.13444310853998,22.4257365267877,20.20960125640894,16.79573438373489,18.744443702802606,16.255269573857067,15.368783473559903,20.672546910784263,19.58321269786309,19.782591615877998,22.11687127400256,25.18113634845706,27.960293760147618,32.3122293427058,34.4944575334051,38.06204306509002,41.90263503841167,43.53404085078245,44.5871957434888,41.68026764459528,37.72021021795164,36.134428819247105,31.896310214434283,29.4585276076339,26.897369374152802,25.43083255651196,24.928950333108926,24.971638556020494,29.235116619895663,29.936130610467806,30.81696114077512,30.490522755810396,34.529974275452254,36.591421532526546,42.066158022745995,41.276483111093974,40.06405017124603,43.789021186469185,45.63008553363615,48.36333328073584,49.48469388202472,53.06949149738926,50.36756336434019,47.94801893616817,52.76712088098094,52.67945892670971,51.390761932448676,52.02919666533913,46.708205096684146,49.05426427718565,51.8907852001363,48.574500410750545,45.41608071361238,49.67666394774491,51.36369412942115,46.59914835076268,45.10084399476043,41.54714279001986,44.37535266281501,44.043138265426805,39.917130707683725,37.12205612780625,32.804435465103175,31.278263320281575,26.88233162342287,27.650985296709166,28.544707521634944,28.50351731992661,33.25341271330936,30.85187771186108,35.33190524925175,36.550777877105,37.101445089136426,38.074915538851734,40.88043950879377,39.194880073528125,41.50610049958671,38.120353917758315,41.50285608309583,40.11759364292729,36.52556650431274,37.51731807466374,35.22438610384438,34.93144495913972,34.02286035604815,31.541067469275838,32.2460410337746,28.150054733766257,25.157820092409565,22.038099087505458,19.636177763046046,17.459462270005712,19.62065236982162,18.17869475148999,17.706660026575587,23.154821501827293,24.743449659612807,28.412935050458874,29.436996405180967,35.326272124684245,32.869834488435444,35.98799003085241,38.17471952865708,35.485629983701564,32.033996117669915,29.52317201946301,29.268309493995908,25.139018440911098,27.769397189749103,25.415370684642806,28.518816574529342,29.161812406440884,32.53803785423363,33.065904408611175,28.575604771758115,27.623336723153514,25.091227823578958,27.750154787073274,26.050823731300415,24.287758065645946,28.9640699175788,28.250277253078767,31.28067659101378,33.73476639719674,36.032079895146104,39.33973640939114,42.096232458708975,43.52143207525017,41.06659601919366,40.326124604291024,36.331938843675935,38.09628081337743,35.604500360688,34.48876465207342,34.815540061507846,37.71513247034644,40.43453424434572,37.01878174757026,34.91608169793698,36.089630960289035,31.906253408411235,30.75564964568212,27.634619943269314,27.344943993387776,23.27897085808523,23.856680243156806,18.992986432288898,20.915163123574686,16.130279845397606,15.434079698119577,19.42126667419898,20.369366063568783,23.93197609901822,24.94369957961075,29.116726265991264,32.2781592545974,32.71352011288406,35.51849988229523,37.88080944644129,41.57669584181923,42.046515171789636,44.64567952204159,47.96744900448777,46.436198997973044,42.82373331840973,41.718144965936155,38.35377014013433,39.04436047892385,37.758820451193806,36.00944380016629,34.52816290836535,31.056161957110277,34.78790081195341,37.55776250691798,38.75605347206171,40.929539010572164,37.28377275389082,43.15917856810357,46.553940741403956,44.47400956270019,45.741880771120044,43.556793466048504,49.049439632240805,49.147649440299794,50.900571691100396,52.44986170996327,48.78275416474562,49.60059831132432,47.76247710791634,47.98127724894954,48.940423006387114,44.847622498466635,45.071761734796496,43.21827520331633,39.5645738490295,41.967607203059956,38.04848308348369,35.83476925583265,39.13618482060641,39.3523312449385,34.61222429623874,35.97493296908608,38.60775671385248,36.36695783911147,32.787246500285626,35.59469517221637,36.55210774498929,32.02107477733119,32.288100741453476,36.83878072009904,38.50842750534493,40.842506289856665,44.903113855953166,43.299516962913934,44.582524804673525,49.23865434861938,50.802472096366195,53.55730513366264,52.58400383172576,50.87126484904721,51.93434434267662,48.613269628966755,53.43549589412417,54.04217952010624,48.60521569278259,50.09802978966587,55.10393753757673,52.641073633211505,49.88870545039953,52.697343487484936,55.31894170346633,51.89291606469769,49.93005959321928,46.12074687498331,44.82636437873566,46.71238056602366,44.599340172472935,43.97240556792534,44.76696975492425,40.896472527002935,40.1279905094237,40.98549063550385,38.30464479299396,35.07489248845826,36.61338310972543,35.73988715591099,32.587447309158826,33.05966792666834,37.194579294955396,35.151178289309215,31.658673732420528,36.13198296824719,39.363205504902325,40.52221095861189,42.614072259304415,41.76949225842897,46.26116395659971,45.95512949682937,41.8795076383922,45.288938454849315,48.199268457865216,45.99361678768378,45.250319641033066,50.943126098921056,51.351502256712486,47.220671585206276,49.229056416626456,54.022745403870424,53.396711126971354,50.21166042576078,46.14049563100096,51.02136089802238,47.744272477025916,46.70540151306908,41.995530619646715,39.7783724039337,35.0640453430185,37.69217400337846,39.3119780909837,43.137575804681894,42.75320333624116,41.65217937159185,36.88576164927994,37.729418562324376,33.20506339229123,31.19752141931145,30.97008212650862,31.52707251171711,28.27023017493669,26.487926887990973,28.29162201167085,25.40910519088483,22.206962221633134,24.944277499269514,26.633661871061772,24.253238065844872,23.85963351554672,24.135334372546666,24.955014074125746],[26.272671420766173,27.39831894096603,28.58198377352323,27.968858172543573,29.19750828313893,22.399394222056657,21.773580000810224,19.021091558011666,16.254842409544906,18.69327726063476,16.348243871821754,14.642111255236554,20.302004558419217,20.01482101826609,20.028090656340943,21.921147023900414,25.26721188157575,28.214474207654266,32.89629772234837,34.659205782745346,38.43695313540979,42.039227594987835,43.923341333148386,45.04425487406868,41.96351578882746,38.17700327802251,36.25483077004366,31.990687618229632,29.332259050388796,26.374126497989202,25.374839001753255,24.100812609665798,24.128752061592834,28.62523333612954,29.2305289333691,30.432810212017774,29.61264659379596,34.05789475200131,36.13920223097156,41.31807260362878,40.95443805103505,39.94308000340774,43.52489498232206,45.42708571111532,48.384203206236556,49.51712297123521,53.03363427402102,50.13790873108193,47.64627113674714,52.332571076355336,52.09294725650595,50.620812349576234,51.25897930586346,45.96904507822037,48.13384759801359,51.23300256295056,48.11929648454872,44.83152928738646,49.08839420067722,51.0478587134983,46.4397593550051,44.99547999352587,41.45396888046157,44.60633535372838,44.20647249785135,39.9225894575642,37.61262988857122,33.172293076369755,32.114841420071784,27.734298224163908,28.82048039977167,30.047644440817418,29.601021514967858,34.17151917559107,31.331497227647183,35.691565400135005,36.568349399074584,36.88001706468635,37.64387790650195,40.339753599139776,38.28643113261647,40.540617391436484,36.81282006011325,40.21805955832591,39.10816559161882,35.54811435256778,36.87661349511806,34.28891402060184,34.54757198198905,33.46342027085193,31.394415152820425,32.362856891016435,28.263469918910094,24.988946414618965,21.936320740876603,19.83103471889851,17.77433979294789,18.891698536595,17.070157140688533,15.65368094994461,21.566286063211315,22.620066320833658,26.72797818357943,27.463117714870588,33.43305094653329,31.065118923988805,33.93101120544513,36.3304241676634,33.76047155347325,30.17353896408178,27.99233227103322,28.034799808568,24.19214072084151,27.215439450155376,25.280796411604282,28.663201641817786,29.4246494159891,33.03591209381212,33.812916568425145,29.160049652304668,28.45105970233911,25.766573714790283,28.433569053997914,26.41020917732112,24.29548939859312,28.64984867010894,27.41264349978699,30.335677904918295,32.488804714653426,34.58246247854974,38.03977877650872,40.525723554789565,42.195840456334565,39.539395048708826,39.22055523963125,35.42501272056718,37.33683764008396,35.1763235586423,34.427114517990255,34.70028726717867,38.03908415887078,40.70149827176599,37.24484010778122,34.925713222408376,35.88601951179536,31.58365618246729,30.461618697339436,27.01368220018624,26.333130826407327,22.222942665191365,22.21710514735139,17.236366384899334,18.47509574809526,13.388924811204934,13.035683822324977,17.257809108493674,18.790369226466133,22.10243093304697,23.615580315528153,27.623868928486463,31.266980270364375,31.908202535567256,35.04803041933465,37.18553644293839,40.93341939065011,41.692805556005695,43.98625701868191,47.48639502580797,45.8688968474667,42.412933310212125,41.06227650102416,37.79005207955439,38.19464059907213,36.69763997485277,34.83431130330369,33.03405954188605,29.77328193110062,33.14709915891772,36.22312804254342,37.194913498345635,39.683265606327865,35.805121507417525,41.70838490541895,45.19822357516943,43.33384651843048,44.778103326143324,42.81959601456705,48.295997743495406,48.74534338864325,50.204280379341434,51.70902143709668,47.90638420423815,48.61097808333169,46.67853201095225,46.73424671905573,47.61832939569701,43.62622856677093,43.593015861052336,41.76940202960849,37.92585861341261,40.158265847704165,36.078589588493664,34.14083597595461,37.57781038993118,37.50062857404651,32.85258959003719,34.72407556308313,37.084134634024494,34.4780993511336,31.355965968659255,34.31975378779362,35.051350312496055,30.528406038023526,31.249049613682836,35.76023440398713,37.48031287958026,39.46599779524223,43.79468862447106,41.911184628174524,42.99179740902856,47.51291116663183,48.934943612257406,51.64625976392095,50.44727769007634,48.73936726359703,49.65506057158001,46.31295897955889,51.165194208379475,51.92087392487327,46.640752149007064,48.02784755014072,53.12600530960819,50.86683534067296,48.133598710556264,50.899715283290156,53.729724919302164,50.437876042524046,48.4696502792106,44.57701219021952,43.0039319070668,44.69711267194069,42.43450457349054,41.59750950869447,42.17762859373927,38.32207993240189,37.82581849764004,38.52005383048524,35.64194993309366,32.634369032016274,34.35159006809744,33.25592740713203,30.11345473405434,30.919602632969134,34.90883260363073,32.772457272394114,29.558199145850807,34.15371289563195,37.226219022087484,38.49795958499435,40.39322402810641,39.521719904925355,44.00633392662293,43.879607213172314,40.01018412774699,43.2889554347304,46.32447424879731,44.29327306500156,43.605265613424336,49.171634213545566,49.81196028393545,45.869188774681724,47.77615767743302,52.52268297669024,52.117230202065386,49.079079861151044,45.17970030268583,50.1787420918996,47.133837342847265,45.88859351689967,41.34268884643487,38.81930635960402,34.22724811091415,37.21689520086729,38.68052116939052,42.50680777180696,41.95982788483626,40.514346148780426,35.82957976808912,36.4082386740244,32.106152942099314,29.876962679134277,29.127950486492793,29.458560154085248,26.043392331135568,24.805837661713156,26.60751135433468,23.427368129471574,20.655469906887404,23.77579427482139,25.056384329778897,22.439928796446637,21.93375395059652,22.158346683434168,22.954253305251687],[29.796360383291177,30.903759470287934,31.872058218034425,31.538164820165303,32.371721252296766,25.627260243541212,24.7597442595659,21.558413403089062,19.106444537057193,21.2275216610033,18.53719499751795,16.219161236556804,21.965479823476997,22.1217828179618,21.23138271251079,22.862112490434257,26.73610486808155,29.26218183257807,34.10551391712544,35.59905343764858,39.341902023058665,42.76784644567376,44.82168438389731,46.236529160841854,43.22117160754305,39.5802668904254,37.64757935432743,33.4983514482996,30.428372330875856,27.20843847437611,25.617676428307206,24.19401002246759,23.49797309560763,27.88264883724247,28.9895976669835,30.717317260357117,29.897949478046456,34.78570997929191,37.167171574912885,42.06183222240596,42.1706069147263,40.89096670641523,44.22062808556887,46.43542358287608,49.52848875718122,50.93706278134571,54.29721463396472,51.1500660923638,48.963598885716046,53.61063883465668,53.000095296637916,51.43120710291317,51.790692104777364,46.6165840077143,48.295893580511084,51.46340583931381,48.58377167221222,44.95067150592634,48.998899622985135,51.31598721062261,46.69904891734144,44.90107776512944,41.207484596114384,44.58395364508669,44.49176147603313,40.21842064707977,38.188025888228744,33.68385702122297,33.066214631083376,28.61797592727538,30.03041456800864,31.10001109787496,30.161522678633855,34.616045328256746,31.48166638515273,35.28659893516536,36.38802697809584,36.19354537039919,37.20652860973259,40.11131171402038,38.055886473313855,40.6784040518084,36.87461718435913,40.608691589208455,39.87043230335544,36.06514541116034,37.25374730882953,34.199078499052696,34.626994301661455,32.832326619181785,31.010498433489307,31.63402705668007,27.630985966352373,24.26899348921693,21.868377251342615,19.52183371476389,18.309671001944306,18.72277348570621,17.33829667962101,15.406074830522048,21.474547393234186,22.84688648435025,26.984732379253614,28.160395649156445,34.20231193455477,32.385780840918144,35.18315548450703,37.91851215007144,35.707873001364625,31.876088860416004,30.19880223748032,30.113417958495617,26.54398132406747,29.597246562073384,27.557043561668184,31.08234170207785,31.478136009905484,35.272823489114074,35.59926265176471,30.82806763681542,30.52767722313708,28.07085332034814,31.12705950977177,29.201315361007282,27.213309719910363,31.409618028445202,30.232662536414736,32.81061610833315,34.78183737979579,36.43028048116541,40.24599488728652,42.419767851921186,44.11722127514036,41.10254131077418,41.24162606443885,37.601932967135674,39.928491493657894,37.77586460956227,37.140709940829716,37.098586542317236,40.52204084181098,42.847886925001106,39.171906798774465,36.92725982362873,37.533887011720125,33.07645271528118,32.293569576295106,28.705448285834876,28.037964747672394,24.166042838042575,23.969300185895047,18.98711320421064,19.37141159286605,14.409004929634333,13.601433489761085,17.750719377979557,19.769436995874372,23.14353378193628,24.608947033174843,28.95388336921499,32.906068393553205,33.183849281954004,36.83766001116708,38.537694251504305,42.63377459604244,43.816092711465764,46.03379909912258,49.69711112865227,48.25363098505252,44.87467482056027,43.35927411482854,40.02068060714177,39.964345936322424,38.143916147530085,35.94404383684042,33.826088421832935,30.464140297604846,33.34284507250567,36.818923113897355,37.804357971642496,40.77708525757165,37.0849337553314,42.99038770426644,46.52659774285915,44.830109279821464,46.01129437445385,43.995396844712815,49.49090075756132,50.32686929744971,51.73378634956776,53.41466427263643,49.56120184247957,50.45216755562491,48.62727874415288,48.68886777844954,49.704308969464925,45.92027946339638,45.77389520558578,44.169833672094015,40.13461997057148,42.35028574289197,38.121700647944934,36.45989550043963,40.138424300653895,39.83511245694734,35.327941780559456,37.65820478195074,39.82736914683665,36.8974087783615,34.256874123102975,37.34486190881043,37.88259639957493,33.39816437965151,34.48401489530647,38.93127920762902,40.687117220567245,42.36997598609774,46.90823137272024,44.794784023930085,45.69264276856886,50.04950497207063,51.31798270083568,53.957298886200135,52.4740406753983,50.74023241183413,51.40884693057612,47.97255642489754,52.80641995367736,53.83934253144201,48.73156619681722,49.87566007576092,55.08779363948628,53.11238651438512,50.32018528017833,52.9172225175927,56.06233780480099,52.94904424143578,50.77343794408612,46.97385358627603,44.9445419493811,46.486693865415546,44.20088689492857,42.9959003980449,43.35114628241419,39.40819693535356,39.38660823125934,40.023341249619655,36.804460263822904,34.13298103747064,36.22275008779709,34.87365880016387,31.786503653626344,33.06720138558323,36.83605605802368,34.56720433516085,31.76543596885913,36.47719860943443,39.316359324182834,40.74606746381698,42.371637373559444,41.430905119784434,45.8769522717853,46.027865788069676,42.403311053479044,45.45787870434529,48.6672875565686,46.8456159034614,46.1377581666417,51.55813058239129,52.48403868668433,48.696870425396476,50.41829483764986,55.157949562601786,54.99173535237272,52.065624629256135,48.317917726838346,53.399361200144135,50.524017089355105,49.19191771177436,44.75170182316693,42.02527240181156,37.541339434932105,40.71738384909164,42.03513652305937,45.8304312410235,45.10939471990246,43.43730142428599,38.73238571944867,38.97190306813078,34.80254305996361,32.62635956286689,31.30030368766532,31.520312553485592,27.82653028637009,27.246623895930245,29.232315210053855,25.82782942080075,23.393103227665488,26.925382792999915,27.902145598558878,25.082981216217078,24.425565386604834,24.529174160652904,25.238734479034587],[30.682842579726973,31.960469570817846,33.35119021004906,32.36750841053923,33.756667835966304,27.039794763552813,26.202234745823215,23.608747003895175,20.409387694710627,22.118665633447065,19.27351589275936,17.887635787040445,23.326148482550966,22.511351023720263,21.856859114060697,24.05389454510838,27.607886743180895,29.93550543836475,34.37182460992377,36.413889940618766,39.8915915497951,43.63275030740329,45.36529868556794,46.70568158893168,43.913461743122696,40.037664766288216,38.53122304241247,34.396502356648725,31.591333318517623,28.841623677490723,26.632313753431703,26.178678987271432,25.46831884509994,29.56234613298564,30.841143808589884,32.193104085487306,31.986205902471983,36.40261965146879,38.767377415775314,44.04437359098819,43.6245992956266,42.09168983182941,45.60777747991738,47.7538662056786,50.571880026358066,51.96766108514262,55.42144769064163,52.51408811044384,50.407713037051316,55.22846365319461,54.81346090752258,53.46164891234374,53.82487911712774,48.598569129305524,50.50074426725918,53.350205283353404,50.21629359917274,46.72621460257446,50.774302271250455,52.76511313350505,47.93589005383581,46.03114493900789,42.29472620211426,45.26171405850257,45.29457379294118,41.22261938597887,38.55476500957723,34.19649823820799,32.971657225979754,28.478716852171534,29.487167927988622,30.063052373366492,29.641126479551197,34.35721964590648,31.794134225619228,35.70231114352053,37.31828348449544,37.387482888193965,38.71756159623242,41.7937745110313,40.2029858599803,42.91772401058531,39.51055398606568,43.228936016348314,42.155580411573474,38.30332042790903,39.085870599319094,36.37145903599776,36.10946840678068,34.478264447126364,32.12121656059933,32.32874587236284,28.32803717021348,25.327311774469912,22.887492567312684,20.078898311635005,18.77602752360668,20.52052450713931,19.575053230815833,18.71786461177946,24.342839093317046,26.284627104223823,29.992595646783812,31.439300653265683,37.431426636922694,35.43072501815676,38.49136911547932,40.97560951586811,38.548815112673616,34.880940158712924,32.75463851752859,32.42767008341848,28.47706666699291,31.142114222122483,28.63860700640981,31.843800185948268,32.13385303048105,35.64182933366764,35.66778942522312,31.092078291773337,30.47241927864045,28.189140944238396,31.211374446943083,29.649441075295076,28.021759938386996,32.62854356317561,31.95315592741482,34.759766012704304,37.08368467441601,39.05040014960053,42.65149147230255,45.17078564215496,46.63381591080313,43.87908903750624,43.50295089437375,39.609823218353824,41.69628223997423,39.18595166031725,38.11901989238269,38.19219050005848,41.09548231729351,43.53195410908329,39.91096311298313,37.91836591174447,38.80911156131854,34.48248212264309,33.63741385138214,30.415523376041744,30.173386649044186,26.26880798903786,26.687259087217544,21.734361784533544,22.939421050095046,18.046787601971165,17.08146064636102,21.12200742744338,22.5064396002609,26.17561882745725,27.14011320478465,31.660088237960625,35.08713083454245,35.17191202521521,38.41458069073526,40.41976942406693,44.44099985058996,45.24712077876045,47.830133525949655,51.27849334441992,49.896305583137696,46.3189249721946,45.1000592734387,41.658603619649234,41.987179339546,40.43169535120771,38.38023018837831,36.63028174416812,33.019461437176375,36.34252292763667,39.473243694624074,40.71485496441965,43.31537897976088,39.837125264110135,45.73980276255023,49.18232580868448,47.22615287854583,48.239806329824596,45.95676083039082,51.488171031037666,51.88333910281477,53.64492963354839,55.36410036757395,51.66072579394112,52.654315988974965,50.90630385485716,51.135153087331545,52.197354981283375,48.24829287010779,48.37149732471275,46.65516830647398,42.83315670260133,45.18311208731129,41.112717807527346,39.133366749073524,42.600965297447225,42.5858166902543,37.92782112249618,39.67003038757336,42.107994432369615,39.53415412828148,36.325810276929126,39.214260970083785,39.94714444461348,35.39599347275979,35.97175764068144,40.440803986366994,42.2284496153712,44.2519940810851,48.616029022351725,46.85677047529776,47.93965696172065,52.52040873775216,53.88395224527763,56.67493756182285,55.4879260778448,53.812469221129014,54.70652680667673,51.34539380048999,56.18843679878664,56.99573409935865,51.71418667549749,53.053546467328644,58.16590491984524,55.916918764324436,53.14137871391312,55.84995139184512,58.710235582756724,55.406385266704206,53.325235363827595,49.53950844022097,47.90477672183395,49.64986711803042,47.45596991475102,46.52815660104737,47.07149953027698,43.1551942208411,42.79700662860693,43.51301573731424,40.52408849903155,37.61221785323956,39.414210081658176,38.231138607705596,35.085254052125464,35.96945598652106,39.8809985557334,37.63021832411033,34.44543853569251,39.05739492895797,42.0848894857568,43.46013762173303,45.39010972839881,44.5743293562269,49.05709637903874,48.907687236216496,45.076588487445925,48.37848098396101,51.399036417813036,49.34118548907493,48.66572618090173,54.250899469333746,54.83964956019814,50.85426201368192,52.785176765511295,57.554288062013384,57.077471161606674,53.98605351332316,50.00688738468342,54.94173950441909,51.76015076993273,50.59498361073987,45.9772396048238,43.628545038966024,38.96809461358562,41.75326759348071,43.32736680333803,47.15526941385107,46.68669038840502,45.40860376654771,40.6475421871986,41.26524850383789,36.83434100351435,34.797097876588744,34.11740426784111,34.521869616441656,31.036285787181058,29.795279792940637,31.665111978180683,28.51070394156416,25.653906576359866,28.66630080369907,30.016417085264337,27.343841234855674,26.77876500730727,26.931162498954233,27.61995379476709],[30.881230757354967,32.67730044168804,34.6957478066809,34.005003601314165,36.05989996140044,29.23909486320748,29.03564599535847,26.649747990122908,23.678114163433296,25.9254874076493,23.419191779992357,22.147558264381107,27.655426856421343,26.74577475936431,26.52985626744815,28.759798017433944,32.14624813242919,34.6604559395791,39.03130159033172,41.16781455102136,44.65526303659994,48.44351150216224,50.12432332444612,51.36368414611197,48.55392673795949,44.62200105434483,43.102950009827495,38.91147881117114,36.25458645623264,33.500264308091,31.52469464197422,30.92919457542806,30.27211601141059,34.41633306417468,35.6780938141954,37.03848295698745,36.68165115051935,41.11444644138561,43.3717822954119,48.65159745497147,48.18261223484354,46.80946615658728,50.38076422216796,52.431990852386505,55.231373053306626,56.49874695762904,60.01512898532539,57.18184021008118,54.91737189119342,59.70623080036796,59.4123390154545,58.02286486225017,58.493422958007336,53.24376069292678,55.209333759195204,58.1388087122843,55.009896601050826,51.556510250735776,55.632889552041796,57.629708034834344,52.82094078994145,50.95023209013683,47.216149609467536,50.160150068492726,50.184325540755644,46.11334547042269,43.379660792676816,39.04743216631488,37.66584701066599,33.19239405834169,34.03041513040189,34.49136607488822,34.31995364630276,39.09828180625641,36.665619426849354,40.56212622083506,42.2400495977428,42.27891487247515,43.61621794949961,46.673505195862845,44.980006351747846,47.613607124194424,44.047909220421644,47.68086759507496,46.62912076800321,42.88894550109077,43.84900483526411,41.12028403600443,40.98888932809898,39.35021561914864,37.04081379968385,37.19027241880043,33.21057682177425,30.219918521436988,27.80516133975014,24.995132754593968,23.62982619294604,25.32931143381179,24.161192605010154,22.78663736693746,28.736792675566328,30.11023680589149,34.213851362761325,35.172756615382326,41.180629132193296,38.88643938086834,41.61646288118971,44.04873722065782,41.37036965133184,37.86314718571652,35.605662491329504,35.81945894894999,31.88176837957035,34.77459505690012,32.59271649254619,35.744397440953435,36.350452802772864,39.741544383752974,40.05724411529207,35.561665922896886,34.697975063881245,32.271451647071245,34.942518003555605,33.244463390701966,31.365427606670735,35.95619087574237,34.749681536837194,37.931008395262516,40.13580733265044,42.388317926813656,45.69603052606004,48.24159077115801,49.98424115792217,47.39044439413305,46.99694988061398,43.13644221969036,44.81885368257074,42.5891252730446,41.60064907884898,41.994039975452495,44.94126820143819,47.65115533716479,44.19234005290401,42.104240987478875,43.17065084469097,38.90342129453024,37.85683497802728,34.59910158667503,34.11617965680251,30.017928900435063,30.051689077511927,25.065395047390435,25.997306173015282,20.559532257252997,20.535180229644897,24.835883737359612,26.53153639049374,29.902586168346136,31.32431822013866,35.47955754350489,39.054232745925134,39.507169034961635,42.57772832423166,44.75887757447667,48.56696692301078,49.1735501535231,51.64060196045772,55.02641020728951,53.399449520977136,49.85753791097054,48.66497051151768,45.37934468037257,45.93922830182339,44.48789045233736,42.57814653220022,40.76259519478096,37.36464581912214,40.60982168450361,43.81623798358252,44.87372255743556,47.459124031552406,43.66363356034379,49.56945733769401,53.05578877039468,51.16322258323249,52.48751082884936,50.369629651686694,55.874708469116605,56.199429462177065,57.850534223230724,59.406747557853365,55.66350719346067,56.39969988241347,54.46337667838805,54.51255784020593,55.30855324667738,51.21835696030208,51.130252651364025,49.08152331529345,45.312380733155756,47.247205255776755,43.15818237628954,41.32454139222647,44.42836008008401,44.124883413884056,39.47750963499023,41.210727075779126,43.306090632824365,40.47751832015138,37.309427297568284,39.99230917775476,40.37179127803862,35.779588081827704,36.4209967314566,40.59383081108106,42.724773627779314,44.35581986646498,49.2444510287076,47.63055259921444,48.42391407592753,53.16447673712611,54.153945256279926,57.32918479243315,56.279183773323766,54.93914893499281,56.02884918329763,52.97900787783706,57.922337262222705,58.499154119460314,53.41243052687285,55.03650891447697,60.09554454475707,57.760337443872835,55.24133432019742,58.186866025887255,60.81623581846315,57.44384151655729,55.84604671280609,51.73063599947948,50.42514317719609,51.973167388486154,49.4143061927895,48.604529237247256,48.78874501575909,45.19968131695705,44.846869007149635,44.9847708710629,42.04199248743519,39.41150070804234,40.83155250194626,39.224708378603964,36.03158349566597,36.92290126725727,40.48580206930118,37.91035110526241,34.690413549282,39.282427409826646,42.168273319999365,43.85887079410959,46.021546738781424,45.649022141947974,50.120475748992824,49.59574116295632,46.07579375347291,49.68460059595619,52.44632246809231,50.32217981260934,50.12088255811227,55.62183562395005,55.930965518194384,52.16088970649804,54.45940534583527,59.00186792001952,58.31698562905873,55.34159830192276,51.329579301483854,56.13744173125798,52.88777444980478,51.366262831778485,46.94799473451442,44.734311704064105,40.08246199577926,42.93374277253638,44.79961905428461,48.68361464014448,48.51046918785239,47.19112693451965,42.77354777937023,43.67685054487016,39.426445898592966,36.91231460707824,36.393101170088464,36.38466395485588,33.1704951516357,32.01092315093513,33.22707463295202,29.86393989491123,27.63807426692589,30.022843818198766,30.839749675094726,27.814985948465353,27.11395052150112,27.224847967808255,27.732447065578334],[30.516476622060683,32.16915426214535,34.294399594017904,32.77150403987179,35.11664036040118,28.534437389854354,28.155114850557116,26.421998768981126,22.760367911605336,24.43550645705188,21.91530692327197,21.593401779899892,26.575636139377334,24.783923330676483,24.951595684188746,27.632608147586943,30.52414565320366,32.9145078691827,36.81797469745145,39.44870422165694,42.67922125417964,46.74295299931582,48.0826968508398,49.15237469602909,46.54038067906984,42.41995509511236,41.2910153989919,37.154429531564084,34.874979131282856,32.65683683247274,30.399309659494584,30.65859272672488,30.279739248392055,34.18245418314597,35.335564122523664,36.158326147555684,36.341855308401946,40.15344460687769,42.28733767570864,47.94452577140609,46.86335573502281,45.34318533128756,49.120491719213206,50.99828447080764,53.486428416303,54.662927165053816,58.2762753695496,55.748210940410985,53.50363167821015,58.43613295479841,58.41453153372039,57.28143621048429,57.82570777417203,52.530095217938424,54.847214083052236,57.4373398094313,54.01211065297175,50.837773317953705,54.97357977530549,56.524382494623396,51.56942214953652,49.78171412659266,46.120881726995826,48.60902476250233,48.589027887610776,44.71801294684657,41.398741963967694,37.27194310344614,35.28150584203661,30.898750282409942,31.291327245607903,31.437334119252906,31.85098009786678,36.771430931510764,34.93357640908471,39.12246473904561,41.043568616846855,41.541426954315796,42.985721260792516,46.05922909983918,44.78753223078661,47.34589343461344,44.2252208459023,47.7166068815779,46.237173605575435,42.54591808413492,43.155763452885445,40.93170142139317,40.135693205045136,38.97047098883889,36.151805677939244,36.175645161175474,32.21168442974006,29.58599833540633,26.90569494446108,23.966010717449084,22.26245697339131,25.136783485254004,24.232186992066293,24.005010119815733,29.365284640404447,31.27779680647201,34.823578123334386,36.04348191512924,41.92500194629751,39.43914893405778,42.54690845014066,44.646710054725666,41.80523176810139,38.48736725925052,35.7738512533683,35.56919128861149,31.295926834430286,33.68037520593733,31.05988704158965,33.82669100782068,34.3412080318183,37.38693056959272,37.50952247896328,33.294274760798,32.10256731294026,29.857829495196768,32.40898490815541,31.09960871010909,29.653544580950946,34.5499687609902,34.0296934479756,37.296066126517395,39.8907616844354,42.41011093121034,45.50520273592809,48.42943951034381,49.809766494643725,47.520937693598384,46.52531066059667,42.416503541976866,43.899354210101286,41.25324426835469,39.82065500128527,40.29214761825568,42.68459085691938,45.47514794821685,42.135826888178656,40.304683588278,41.66630440594225,37.6130110814989,36.48425378700276,33.66319827917762,33.63567526910839,29.606074906368686,30.370109929989933,25.550022415126776,27.46453729975897,22.433823367806806,21.952218342986914,25.986836297923176,26.896121535316137,30.535574493783862,31.35928741556423,35.62641597646355,38.54093594838029,38.80643393252191,41.36409534351116,43.87154717708985,47.52963438307394,47.72292086073866,50.56322863474247,53.69434309380268,52.17747650086017,48.45053077967258,47.583259709368164,44.20363687605638,45.16203493895011,44.02857281549953,42.330486824999674,40.983949987405396,37.36965301505218,41.16366894293425,43.87414998825931,45.20799103425281,47.28105866721549,43.767704650774505,49.61927503582087,52.96305009480633,50.7679885169945,51.90628115613033,49.53302097799196,55.025928491911614,54.84349127060919,56.8566942788129,58.43599036833398,54.886706982814694,55.74885773402154,53.93872553819707,54.215116697212146,55.12204110521538,50.90728232445095,51.2028834841608,49.15492021712122,45.656800267308846,47.9077728932381,44.061600009892345,41.79767584514507,44.774750779639085,44.96461222878437,40.18480777326343,41.20425881784126,43.76217227234955,41.546131476039896,37.71936819294486,40.23696222261912,41.050443894816155,36.482504117997586,36.47097671298321,40.77208983061638,42.70288878564266,44.95650824809641,49.26396126095546,48.0073325404685,49.188961372834896,54.070005473678364,55.40413757415918,58.51379301978283,57.777318293824855,56.324555681748066,57.60048068443803,54.5025553967354,59.38150234832652,59.76718200586269,54.386561644305786,56.116739045373315,61.04226629461953,58.41029536387922,55.81300926784857,58.783284999869956,61.13494980992293,57.57852829556608,55.91320396380292,51.974066121116685,51.03370213131243,52.90640055737229,50.64371312495879,50.15631952280858,50.78124113489855,47.093956133194304,46.272815386742764,46.809009167114425,44.188946559601774,41.09878645620279,42.32875357634222,41.20717238348719,38.006374473966616,38.368741312979274,42.284697811961365,39.98838398951707,36.34495480122941,40.746327475165124,43.93319261611693,45.31923686456186,47.70738707423466,47.23038864864399,51.71992081311774,51.02886264126395,47.09237440287206,50.80990464943354,53.45209487083716,51.086328425753,50.67173068077351,56.37872602808889,56.415783819079266,52.32024155122808,54.670352287452204,59.32628772696755,58.37743603875597,55.16861864388072,50.93754415561437,55.599176184439074,52.06159091318154,50.92773576792481,46.24929681089507,44.4247340036565,39.633537545723435,41.969969727057375,43.95753121535472,47.80606085395909,47.78787854048168,46.95057753546768,42.373691982047006,43.58666120186745,39.03027949080258,36.89649275601186,37.06760558403089,37.46859825582451,34.432183379969935,32.479636771713096,33.83939912743336,30.952873842545714,27.99907105586203,30.02706067452873,31.53708510593213,28.985726505103077,28.515907972207234,28.73239663847096,29.343545345927655],[35.56047076397977,37.53702404390065,40.057060074368955,38.503921025145914,41.21774458534429,34.68972813525388,34.46849195726571,32.83855769950282,29.156820074414867,30.69160493187994,28.083568529095082,27.835674977730264,32.729236620045185,30.722387117911545,30.63607133008201,33.40906051843487,36.34320135266126,38.379801070071316,42.02626206989797,44.84411838133243,47.82660036768834,51.96501264111922,53.15323406380885,54.32594232095744,51.93855724539282,47.77686889396759,46.94271517184539,42.91505269178094,40.617456967910115,38.52150045814084,35.65468644315875,36.30338788116437,35.48066410691959,39.08894377756578,40.6683833665795,41.611596326027566,42.095331592754015,45.89816920063963,48.16265732510457,53.84061273999734,52.72111779049555,50.92752705789066,54.650805394203196,56.64594285393091,59.01100144989946,60.30918269693942,63.886106849326204,61.39908321555164,59.3648076333463,64.35859185014955,64.27046401672283,63.20259164555328,63.596584291136296,58.351762461574964,60.4991011781654,62.946432609901954,59.52545049647773,56.236927623317634,60.209204244394336,61.78152948365511,56.70688902825946,54.604235030230946,50.83823804577357,53.14480919596725,53.45226901837693,49.781750157206474,46.21759703732945,42.23367250157889,40.09657506022142,35.756349501101184,36.00499602637273,35.59461960743317,36.146832484065136,41.07053525834566,39.545936638344386,43.29902148975479,45.76540538285639,46.053888606298756,47.89334744592518,51.19949371599297,50.202832952366876,53.0312534449333,50.045929814262635,53.70316535511437,52.280614117205054,48.460874607356864,48.79806811156467,46.47514356750067,45.42093117213027,43.86844285720342,40.93230741726419,40.37903419774471,36.597438643999816,34.22859483747471,32.04964467008472,28.778337809257945,27.607833719292916,30.627912601641086,30.1004369663217,29.831603100222292,35.20284361769365,37.331086391444664,40.8577930636771,42.27385642141749,48.19513230914923,45.81672530898121,48.87557223016998,51.03060254590238,48.173694712682284,44.86010536009422,42.15692374590574,41.99769622109696,37.7078955147755,40.0080778359334,37.24009541866576,39.861882428600005,40.21415758345288,43.10304549240437,42.84704701419906,38.79684339717779,37.58789229061802,35.58789973449547,38.157011791126,37.09001404894027,35.82812542285747,40.79134232143001,40.337581838241384,43.67337978920503,46.28708075058622,48.83811440211644,51.89919615958934,54.83759170768137,56.2309521479259,53.94027994069567,52.92884856691314,48.79351751430473,50.20303845538566,47.49507315475048,45.920003525290774,46.404975995334375,48.517313916502886,51.25692316986713,47.91385632516799,46.27053079981892,47.64561268613898,43.62744862727465,42.600464610756944,39.89600601618172,39.99222400014677,36.00781756896732,36.77705282283204,31.928835978116723,33.60742557995799,28.407045860171742,28.007676171177057,32.09171504165428,33.138858787639954,36.82992573735528,37.58983204527966,41.99172577151855,44.88451138374513,44.974881236562865,47.53467454471113,50.009410229256055,53.7429993038403,53.881122779149116,56.84078336048732,59.90058986758237,58.425659596479285,54.65247871064829,53.88053117300335,50.48013407754452,51.478015064736915,50.34087026600523,48.57792356983226,47.20668785976708,43.487462874364276,47.170818456006444,49.97532257077136,51.383549873824286,53.548411545115,50.13595875868744,55.99049467144717,59.329069927959694,57.1163457117951,58.11710067755474,55.61542899460878,61.11755400051465,60.868515312970395,63.02981755387551,64.67378977269394,61.17711707625695,62.10826873189046,60.32981548008419,60.627079845143776,61.51761359043749,57.27152690762073,57.552966592277414,55.4136667855905,51.94631727361955,54.05688002894835,50.197811817579236,48.00178176960138,50.825099375441134,50.892458623034344,46.13094781862511,47.09388098185501,49.500584203906364,47.165801711223914,43.35781329996464,45.710508657428896,46.32343422666282,41.76198394162932,41.71391880727554,45.77377470097666,47.91272365755415,49.94894005557361,54.538727447009805,53.4514178322317,54.46592388136929,59.447454920717334,60.52251909976273,63.89320385574438,63.240315173599335,61.9946363955677,63.35229043613072,60.405875794039,65.33154854697895,65.63565708911564,60.36887923339573,62.2083344042924,67.1187446354868,64.45572090074585,61.96669709532241,65.01844937714604,67.2751254775379,63.67849661457309,62.18991916430481,58.155406341863156,57.326577441738216,59.12432471844023,56.71434894916465,56.21211453483884,56.617876573244175,53.05281308380966,52.34487485965217,52.598413482654216,49.91485661476694,47.04047745447011,48.15700448807407,46.756962942395944,43.5429604392735,43.98617827595379,47.65032871830446,45.1226189755965,41.53060252609199,45.90043220792799,48.95244070289943,50.57057249083773,53.08359720081905,52.8729016306942,57.34503222151639,56.44882249367142,52.72492747688827,56.60089692191768,59.09447915936708,56.6881380173634,56.5361434038681,62.1941325429714,62.04925808995968,58.05754487193904,60.61056621327537,65.14511496155986,64.03844603459711,60.8680499968858,56.58526440275424,61.103946025453936,57.453356287854334,56.189322144438194,51.61092370749339,49.988911225041846,45.20291762734434,47.42223250324865,49.617722959456216,53.46738270667623,53.65920530273825,52.90592385455668,48.47793944538845,49.83526827651225,45.31272412629248,43.062876058688886,43.29845897573562,43.53312516789723,40.55533747082623,38.70528151460197,39.81199524891525,36.82745598540574,34.1672426556504,35.89197765975516,37.14054300068905,34.39858624733607,33.815101772035874,33.94039381895103,34.38220370280165],[31.822147112296186,34.006617282411455,36.97224375005608,35.284913326499094,38.626114280439,32.29621593031942,32.58111157150262,31.529150393584533,27.87250829131291,29.758470950897955,27.69167337838592,27.932491048720223,32.61496640562861,30.317089971024824,31.15090834995222,34.03270986461539,36.4262088616013,38.922421861856165,42.41386421309645,45.41326538000123,48.46524034571827,52.719368161543166,53.76628775183172,54.58366784384554,52.096613010853446,47.839778886023474,46.94954016397313,42.83458876501375,40.98483545980897,39.08506623279813,36.97316473013783,37.50965273117392,37.3399417104753,41.165173510172366,42.22427249732484,42.75123097571101,43.060431665618715,46.50728744513102,48.41922226779601,54.27339613377492,52.75381892274499,51.35592343153469,55.30501245425076,56.93735370894795,59.1844332148134,60.12371633505448,63.857854252533116,61.64351217383969,59.2181313135145,64.17798714642073,64.495134525995,63.48989428292305,64.21506871006346,58.87859999749724,61.49737244527412,63.96242863183212,60.36159457730923,57.42981646915285,61.62624000763018,62.88820011339973,57.89219019924427,56.21869749746308,52.6288315357786,54.79582680355386,54.7250306740571,51.00293704152479,47.28124503006077,43.35745786287164,40.855194894351065,36.63919436235693,36.567032790201495,36.39708507024558,37.444235744842025,42.42403344936246,41.10997590113061,45.419171405526406,47.523780241801795,48.26071233441137,49.75820368888987,52.79958623310327,51.65889424339301,54.061810460733845,51.028104028747876,54.32181936533481,52.60664057382465,49.099664497997985,49.7109852079001,47.77992014179734,46.75883782115651,45.87455687962421,42.841330523901846,42.744447759613244,38.8467610799799,36.43735313840202,33.66384905334728,30.712164796032745,28.816386446730036,32.121639996465056,31.12000254884745,30.918383529063334,36.30244129774775,37.89924903178448,41.54755651851616,42.37330748632569,48.16482188366965,45.23708414626072,48.165943027985726,49.971528188268984,46.74967304897909,43.78834376226903,40.673901104106726,40.85001689673638,36.47420899955369,38.766780293083876,36.323153326623725,38.728082469040515,39.55942138195195,42.184025718642104,42.55138405549086,38.69103502283426,37.036593202874535,34.79033834334423,36.756639565870096,35.562323679348,34.12487202600943,39.053575835524754,38.33420871141175,42.04211990234058,44.69848648558537,47.70395635643944,50.26269887627857,53.44321876217889,54.915507564193945,53.047052631217795,51.644138043660014,47.461928996516036,48.28507640500528,45.759215418133415,44.15886618578334,45.07748224427002,47.12070175748434,50.27262137035158,47.26591642004881,45.50538113556905,47.249573381650954,43.44996904905015,42.047844271241914,39.48553095616787,39.446354631866186,35.3076405264449,36.046550379835416,31.37603016775587,33.49246187352246,28.228581064934854,28.411376744933932,32.52147628084991,33.34389418436346,36.77305511743766,37.754197915208465,41.6365388043401,44.29556071062964,44.878671381089646,46.88863922621862,49.78663990499073,53.054610958078605,52.72462548169981,55.636530467607066,58.48514310381198,56.7411517381103,52.97503692567658,52.37145113154076,49.1685947436648,50.661785841536975,49.867111163562356,48.48264644317861,47.35312438997241,43.877739330811,47.88557547587895,50.374346857670886,51.65630119519736,53.37871072556977,49.686849995259244,55.4675467048018,58.75219199067889,56.450738371797286,57.845504113419615,55.52800189793023,60.94776667684101,60.34085723405004,62.441439914821736,63.816615460442556,60.37005334811256,60.983624434830396,59.03284435249855,59.23297061182717,59.86669650541557,55.42621530174518,55.715154907191966,53.26566885930775,50.066480502867336,51.983490190135825,48.33482004268858,45.991721603083754,48.37124454479563,48.540266683794314,43.766375711774096,44.24290728816099,46.63788646047802,44.58262810411571,40.416086605900794,42.473771658336034,43.12279642958766,38.64069556152249,38.21844553707433,42.09007569571989,44.29221344093982,46.44172858001944,50.93659351439166,50.17840509433759,51.245726431551155,56.37789996070285,57.45971757183332,60.99720331270948,60.691692295965495,59.61297382569661,61.27076472293298,58.569840363843824,63.4899076844555,63.430778792677636,58.139570100218315,60.29996572348435,65.01822010217055,62.0780422335653,59.78340458588844,63.051497703101276,64.87867709967314,61.13159326558498,60.06563928649518,55.869088448867,55.616520793022964,57.44939689134653,54.954162682346016,54.845986333157455,55.32477768109058,52.00778401434973,50.882291886013036,50.97173056420913,48.6655476408938,45.64505956394643,46.25776332349264,44.96908716509231,41.7661605379894,41.7578031580518,45.404107106900504,42.94502080510142,39.03805554950086,43.15771643883305,46.3172259975412,47.86210514359438,50.68307780718117,50.70996671841012,55.13779179651318,53.839910239131484,50.06183313631576,54.20623157915733,56.38520253088345,53.78129797932618,53.84290156915319,59.5203967953392,58.97726881012672,54.978365345110795,57.828389548489,62.21623327141623,60.792948145008154,57.60279024595846,53.21904732770701,57.52439015919096,53.71918294198007,52.41014052984017,47.89194022232007,46.589898257304846,41.81405657866114,43.79092567833939,46.22780593886369,50.05173689968251,50.55261010967142,50.02936549762414,45.86790751900938,47.64173802582539,43.18434844679918,40.75889830590241,41.58412519712212,41.75027401932496,39.211573387683735,36.89000508150192,37.51938342274459,34.78564384238825,32.21167546544015,33.16177359698277,34.42882705135413,31.870469303724473,31.412308284300284,31.62593619230048,32.06931115940077],[35.6385141975522,37.69004294127653,40.59909681447741,38.44235632324641,41.76645944608312,35.63942778798014,35.640599898675845,34.782939954837076,30.79092744093972,32.09383066852289,29.833843529123662,30.432259706870973,34.76446976034973,32.03023989265044,32.63685338834244,35.71178698192596,37.975261814664705,40.0471533053705,43.13737426902833,46.41955291977336,49.1457355558935,53.52109248397194,54.32292082107159,55.184961448565716,52.982821757805496,48.66871828281763,48.179462731463644,44.229029296189466,42.47169850970017,40.90023870739643,38.16180169305599,39.37125297705489,38.97990434051776,42.43676518863292,43.74991415155857,44.135599066562335,44.94030798894283,48.09647647861623,50.08972243102932,56.07489030659911,54.31081554651244,52.58003082377654,56.52281196482319,58.20790908416171,60.22708800769115,61.27838323704292,64.97824498355911,62.897392904104116,60.73064458848297,65.78463945256925,66.10128299824537,65.2717724182339,65.86313826486362,60.5839347463779,63.1751200130315,65.34339118059584,61.6408450242612,58.73744824460775,62.803476582820515,63.885472821094204,58.755710927993135,56.88229964980143,53.271032540687,55.101239393059814,55.25644304021176,51.79477460537773,47.69844397533364,43.995274121725956,41.20931659421277,37.11194710451455,36.80374940548402,36.12316431246554,37.428852178355726,42.38724052671484,41.53051889712627,45.611022744344545,48.16813623275172,48.958515881614986,50.76761871179676,53.96910339103639,53.25364737701844,55.84325335464727,53.175480027239544,56.55768446896796,54.71677673097886,51.10093602252926,51.28724922350541,49.507760128660124,47.980769426693165,47.026416953301016,43.707636062169826,43.173706634268626,39.45225021137867,37.408085757983685,34.909087235667144,31.729520798420527,30.12527896978036,33.95677208491809,33.414185497664405,33.78374547543266,38.79542350390706,40.96308706595993,44.20845592951024,45.48522511084824,51.23396182568437,48.47146693632661,51.657093456740846,53.41033725343774,50.25945360522644,47.28623875706401,44.10215542123564,43.88804929641554,39.39582711490052,41.310726852013225,38.448680488354675,40.596417970760804,41.10523716646306,43.500337945485164,43.35057675388714,39.73771275787194,38.060449302077515,36.17154370059892,38.25473558208702,37.486280745082794,36.50040697998947,41.56885389736946,41.43550918379997,45.01175474508181,47.875793329542994,50.83994299802327,53.44412366608991,56.74923116992778,57.94771208862265,56.11105642256357,54.48725089952591,50.19062350842212,51.09573886300633,48.223940212650376,46.30806094232939,47.094967484679515,48.66153998762974,51.64834696529204,48.62734443446237,47.175241016117866,48.952250465505315,45.264435999586425,44.01259491825402,41.74634087614775,42.084169688193064,38.12424918074455,39.297251854034776,34.69488640364442,37.07194686278752,32.043213188630695,31.74920977124376,35.689751090961146,36.2072065030536,39.876331639841084,40.38839577679438,44.5531740282528,46.87000959171037,47.07066338334258,48.95151929528476,51.85085421896722,55.202178770460684,54.77184727725012,57.96820320107581,60.68218293177029,59.15341192623547,55.276736818382375,54.86194017671854,51.539870575101055,53.090814585479414,52.36745335046902,50.95261811168116,50.017330269900384,46.305533194659205,50.450793678438316,52.77420789398616,54.29675571688105,55.892656441486935,52.553892164124925,58.2952225942013,61.48848463346222,59.03386942161138,60.0910434026586,57.50506913553478,62.9147958665628,62.09346594764251,64.49892411330335,66.011707331013,62.715664602358814,63.561365318832124,61.78851103223694,62.185996251635764,62.99187620154653,58.567784663756996,59.10047968141437,56.77156943389278,53.66683943435348,55.815461664897796,52.25042474664237,49.73659801672205,52.161735064562365,52.566232377490955,47.75730918453398,47.96639668993957,50.59829024389569,48.79687842931579,44.41757820567721,46.42267053767203,47.27146692708817,42.82558945348093,42.141531331568586,46.04831984973142,48.12804153918001,50.55537912753718,54.742167518153884,54.143161710840786,55.386379267936434,60.542414727215416,61.763004046842944,65.24690879960677,65.02632380508629,63.867559361886265,65.53460702996361,62.75007338615774,67.62833497647964,67.5753911752662,62.158092001704965,64.2732366730824,68.96241396131282,65.9466573478338,63.562198183531656,66.76442427465282,68.54945673801404,64.74996402772824,63.522105703610684,59.50602994999923,59.28119489437474,61.276746833406456,58.97629371668131,58.89713307247054,59.55814335532716,56.114110000536726,54.91787251734639,55.24720843844418,52.963054592165896,49.79953034548263,50.48476106796772,49.37466609708821,46.17500412485287,46.07109021273018,49.84858065204183,47.48341259731219,43.50200556362366,47.57223863664455,50.811339230214934,52.249385361044645,55.09701965819313,55.0285236854683,59.461263066905325,58.17834546662366,54.2399677424473,58.358972367166736,60.539903478273054,57.86557958376916,57.77347049212128,63.529689880672116,62.92194604543893,58.766298925887114,61.56871538470169,66.03366746430173,64.52219347540961,61.214737990054765,56.74236752932097,60.955992473964216,57.008634552321496,55.956916326388054,51.31227816534495,50.220950838835634,45.40856276079331,47.073131235341556,49.52785538923614,53.294689532901174,53.8338184307179,53.572448168953244,49.278018439815106,51.10358836413855,46.47570790990172,44.36370877992782,45.37125751523928,45.768245489484826,43.17880445378204,40.64538699629462,41.49326716292016,38.93755491074136,36.01206366958237,36.990281135034024,38.581006031328684,36.203016357554155,35.803736418258374,35.99845283865396,36.44527264015362],[32.79386349042932,34.986592525609495,38.22248175350389,35.98654420164022,39.783603316879166,33.88607634059016,34.29291696414955,33.88606383805645,29.995023354688552,31.57018622449863,29.76628129829249,30.682408804926144,34.825407247918555,31.946528349932358,33.24231873679778,36.34049086487027,38.19477659409482,40.62779208399451,43.615686497490614,46.98289616499655,49.77724713316221,54.20441371703214,54.92136531381344,55.50521857589545,53.208324793577276,48.85095959209722,48.28616072342924,44.2833457250952,42.867796777259755,41.42321326123052,39.31680845890813,40.36570108724489,40.460167615360085,44.091387900378955,44.998593002609184,45.09688396987775,45.72026073315562,48.623057441528736,50.334625657556295,56.408767236672254,54.3729172065727,52.980718517921375,57.07585575569862,58.4740427104012,60.41648429317975,61.17899520977417,64.98884047681379,63.110973267663496,60.63166335353936,65.63362940748405,66.25879312980447,65.46293147058715,66.31334307114085,60.97719910953492,63.91588860307665,66.12045655385988,62.30348656414043,59.67475298892176,63.908034403829305,64.77298867829495,59.73340717141873,58.20656727034146,54.74224928727792,56.49957748226736,56.34777657823407,52.83579702466915,48.684025743957335,45.02558160233658,42.02022511283125,38.03836942806303,37.51996991958132,37.08165310990289,38.71099352428737,43.673846312561274,42.92345156503152,47.41120225936069,49.63762149808014,50.74241232509933,52.26112001737834,55.23964425072636,54.377092123110465,56.62562555850263,53.89879378986243,56.98904102057491,54.949686828737185,51.59512450263597,52.02304274798208,50.52432502387635,49.081270110454014,48.62154209770049,45.283534789887504,45.13168863289847,41.32613772190595,39.221082885321266,36.294880718286436,33.393982765649284,31.27444442574557,35.20170626476139,34.29004630603101,34.64851979173211,39.657108860132325,41.38236787333931,44.72259159330351,45.52597252036482,51.14319821784459,47.979254670668986,51.02893507806702,52.51109652178066,49.099672719990686,46.41878101530193,42.95317406574384,43.01649591882476,38.51094705220738,40.41993003608007,37.86359891859508,39.8369840758685,40.73458055221999,42.92032530264664,43.29780440811186,39.841740333220486,37.84068585336192,35.755995688229994,37.332797282962865,36.4483118980141,35.313866256265726,40.29031226214688,39.92614197637748,43.761403566153334,46.6233627500159,49.91734360212191,52.1150794197766,55.58107873179505,56.84953645463224,55.34451301563216,53.44331133410244,49.14429537968985,49.58120554569648,46.89233347886955,44.98853003562272,46.118877779232875,47.651479202932826,50.95641313002652,48.217001611648506,46.66052424557598,48.706328936781134,45.202056831289404,43.663639440754864,41.50291626384409,41.70916955626929,37.663686780268165,38.774754258646794,34.35824162322909,37.00429475949673,31.989005922128836,32.13406885903876,36.05269380778711,36.4285213084073,39.85210249052888,40.55503347591848,44.28102340328389,46.42629127354782,47.02600037367895,48.48681240249998,51.69013305406724,54.66302156422538,53.877791402949974,57.00111336887742,59.54643199817587,57.7991543759434,53.95460337701298,53.66280485190969,50.52231538292311,52.442866978036164,51.97965108275226,50.86126776678041,50.09643763508879,46.607172918257696,50.954332914523896,53.04711893740534,54.44776609214067,55.715520692436066,52.157473580886176,57.81512616103045,60.95950936067032,58.45945193629572,59.838353078435986,57.42496464033879,62.74967307489586,61.67479283077199,64.00088930058863,65.2891212543246,62.03400760297972,62.61434907396996,60.703898941078165,61.01202496047261,61.60486533564964,57.04952944988669,57.572638485536444,55.00874395906099,52.12788187556176,54.10305708500367,50.72138346027259,48.1188137392756,50.177847934409165,50.65228484258481,45.872872182946985,45.70275854891259,48.29980228700266,46.72908660362426,42.11075813559298,43.86180904983165,44.73175536152443,40.39327371695301,39.4146390728443,43.132836319849,45.24336733125805,47.743256756445646,51.827058669593505,51.493784224463944,52.76930140676226,58.01308800877925,59.23064037395272,62.82868999950573,62.87981419282526,61.85823767765118,63.74842532926538,61.16966681967081,66.02185595732897,65.68883303129063,60.282029259742366,62.63703884757872,67.15861352857915,63.94211829935376,61.72383986281112,65.08305353385323,66.52732296576418,62.62761283857051,61.74352033888664,57.613393193991385,57.83735474140935,59.84181873548711,57.48012612359424,57.70224409970231,58.40817740687135,55.17600647832531,53.67355292222642,53.86722789098307,51.88377195174402,48.63755648574525,48.931656197976785,47.911908673622534,44.74943645623221,44.302334394156844,48.030899675180144,45.73900173427586,41.55505622769002,45.38968985719527,48.685733500026444,50.0553131576158,53.12097505348031,53.23759770826437,57.60858325101043,56.02162726759384,52.06810517768217,56.37086599353331,58.29417965430596,55.48128710955142,55.56121989828565,61.30009594392447,60.3836520978728,56.24689313643519,59.27134157488405,63.59585408331526,61.84281495088864,58.53801169627255,54.00971950376634,58.03058016006226,53.98132823279597,52.89502348497128,48.32897500359106,47.50169645177877,42.736113975708726,44.19179209672997,46.826418058688425,50.54924712423414,51.33533821081324,51.251962500682794,47.20449443538253,49.343089766195874,44.81005655641547,42.56767449175418,44.01688168325745,44.350844350400955,42.12163792825317,39.26505242986264,39.728779259466435,37.39848315950806,34.588032322312834,34.94404753431905,36.52556076808712,34.33087640093645,34.03886477689783,34.303792391841,34.740663310298075],[31.220300447790876,33.68968416206562,37.359456734604926,35.27011952141008,39.58958586484654,33.92667916589477,34.852486410204804,34.7886770616018,31.177404485963965,33.14066023192231,31.77645713916174,32.79750276510127,36.86023132724427,34.01769684831006,35.84339136973694,38.88038745406512,40.45912459714222,43.217627814945715,46.17607617839006,49.538850218848474,52.41876617796538,56.84417873872135,57.52808303995252,57.8904409180497,55.492170501964154,51.13493392371446,50.44992042587956,46.402346405498555,45.23583473459164,43.81340794222566,42.281504167007945,43.05459421927985,43.485729498895125,47.291923633102584,47.90343310527455,47.85994480910537,48.23506111222472,51.02428490501885,52.50185478704173,58.5801567948351,56.4037879307317,55.344303371003996,59.53440446795005,60.70102578813988,62.61559241409698,63.12361744124762,67.01339310987542,65.28174981520672,62.51318165306753,67.43314605573566,68.30387885279171,67.4951374038856,68.57046330811812,63.19568391707069,66.37894864628589,68.67390596462594,64.81032724309236,62.37396558475788,66.73501462856991,67.48755092547563,62.55010209332458,61.29255731807155,57.9344912869185,59.69497899063886,59.30769195414172,55.73351965210849,51.61869795567892,47.978859035793825,44.88104431356704,40.99205285474302,40.36133015356392,40.14146192964991,41.95358150062251,46.89228356683953,46.15380077307077,50.899677163676145,52.8479973480303,54.12006031133307,55.40274283195758,58.20063002494276,57.145085108973774,59.11500397552878,56.253272865983384,59.10383104031814,56.9708000817445,53.851013672974815,54.55502674365035,53.20724997845288,51.94975169001899,51.80167448148725,48.53195063968688,48.67358137460069,44.805757935468485,42.60087460124859,39.40246479368874,36.72390138627246,34.275372189358805,38.08257922341423,36.82476496184947,36.945468346406194,42.062477313042116,43.26625033726125,46.81332152975551,47.10509737356617,52.60565110179772,49.08588282114774,51.8839704013703,53.15465890612047,49.49942899699472,47.10375108769032,43.45010733962636,43.925598333323876,39.49620857659086,41.505101501618114,39.35796062699689,41.22014900257554,42.51024568310462,44.53854102986522,45.43570199318387,42.09742669670322,39.86110298226848,37.57801774703592,38.66957783451129,37.60386293080315,36.23352293045963,41.02567117678713,40.24351832012523,44.344488952825486,47.101985749831414,50.690500465205496,52.480968183753696,56.02600271110315,57.46310654571525,56.24941893717058,54.193447226446544,49.95882720164282,49.91654164084574,47.53252072542815,45.73726805771986,47.21533560986334,48.80094864169834,52.404024047240846,49.93333917910639,48.239603151772044,50.491009902396264,47.132840549356864,45.34010569276173,43.20519208057685,43.18902900815724,39.05340588372487,39.93132245733693,35.681324698300486,38.35309562611762,33.269439551315614,33.9629086959984,37.90533737051867,38.31955731231426,41.43731017521409,42.45426437775193,45.71982929980467,47.83264328316882,48.860522990975596,50.00711660946129,53.43990069332121,56.061249296768594,54.99137110620786,57.95959888802099,60.369941120720995,58.36450008034773,54.60132791925457,54.378628943240756,51.45975353383721,53.682386832234165,53.418845563157795,52.5516578055248,51.85262339624491,48.62648367484592,53.03660761370509,55.01804975627404,56.240727226661676,57.298577949684656,53.46280987015666,59.03638143562549,62.15809650004912,59.68247190075264,61.42311741839666,59.23072079689844,64.4672864087664,63.23450478445319,65.41158012238493,66.4646862775089,63.21907510076689,63.49276028657426,61.40826213168466,61.56432645579855,61.88795221990534,57.21859036236352,57.628073650340156,54.78258335909256,52.10081091688381,53.76193740768583,50.535243399173375,47.962138233373615,49.592658841930444,49.99124153463488,45.300152605826234,44.86251785814301,47.25098247898974,45.77044796260569,41.06356790893116,42.50963324394691,43.23473998970616,39.040226172784436,37.87911605743228,41.25353658573317,43.50418515850171,45.854749021463874,50.035514754846716,49.96687820684091,51.13017061330598,56.45449152765965,57.51023962694214,61.31937835380898,61.63216877132461,60.853990972903425,62.974737137141354,60.6889341495873,65.52677588508924,64.89811511096019,59.61840967719676,62.24379813166094,66.59371379536486,63.220475132565745,61.244020594279974,64.79036018694211,65.88979017965133,61.9199306281284,61.49169689741454,57.170841653733156,57.83866256869932,59.75048671892542,57.21711453312733,57.70053434653017,58.30027597667911,55.3694864164231,53.66057268512797,53.53803397089997,51.81666911239887,48.64454765313493,48.50837402745483,47.41682550518183,44.312046075481675,43.611476691925176,47.1194797266303,44.80228435285533,40.515605069292405,44.086972627396094,47.32707533127704,48.74438813906661,52.03290261577552,52.4579244710224,56.73500019780612,54.784770672058386,50.98467601669338,55.50145254067923,57.11148513632625,54.19489745882999,54.597637673766386,60.23777759250443,58.98577015522623,54.99398933675578,58.3082928263884,62.39870478332281,60.39757033340842,57.175564110914756,52.64001433929108,56.42857504590811,52.321431288462946,51.051616756081124,46.69260124050421,46.12301493492701,41.471240960783184,42.79337309388462,45.64583078570985,49.31596399797407,50.39514216933739,50.406322880451846,46.73398416858438,49.174386778102395,44.8483087904223,42.343863908361406,44.127736083939816,44.25411186038854,42.41194750291785,39.415274659917436,39.350245939427396,37.15237396371752,34.72560431847282,34.39642041398205,35.72024037788602,33.591522592525614,33.34503221170033,33.628612241230975,33.985705945218236],[29.872900532429096,32.064968809615515,35.670396252155996,32.97369525884169,37.44100082422231,32.257838816168125,33.12718254190879,33.64320864134905,29.848762790829067,31.447633142262156,30.3866440242283,32.01482488992817,35.468100543732604,32.202463377668835,34.49730299727428,37.637377429499445,38.665850238807245,41.430002291371814,43.974608978769076,47.5581881398287,50.260300983532474,54.767344676390984,55.20897504715879,55.32736108419026,53.037427475956484,48.64870021031039,48.164632716050036,44.23643735775621,43.48952718229388,42.479162665928136,41.170516677545,42.28828688612526,43.098166180025395,46.75525410240139,47.075932698286145,46.59369218460779,47.168394875738656,49.41248918773343,50.6526810484267,56.86609662398032,54.25029605379547,53.28596890462855,57.584853083098565,58.495602660056335,60.16692311310633,60.483821379124336,64.42276996083876,62.980193182783324,60.127933438437495,65.03684742225846,66.19022109862293,65.55615237725623,66.77527980973233,61.42593953146926,64.92952048623386,67.01060170777342,62.975775969835816,60.87205218722804,65.28557427597606,65.66606626913968,60.769057799984225,59.76704559835566,56.59147710723339,58.03764867454218,57.459854366166965,54.03413694011523,49.6724885983435,46.262686657368555,42.813154057517394,39.183709501798205,38.21673782776885,37.98635337323724,40.22758776113587,45.073581981847326,44.724976128427826,49.73156298920271,51.55810179590781,53.22574919846051,54.37078227857328,57.0013397289434,56.126558459105574,57.8529719901099,55.27912417260946,57.87039214048766,55.43304837103805,52.51716724779106,53.1146498530079,52.21689256487019,50.661936865565536,51.040284911185346,47.57354592466394,47.87572661471269,44.07925474627262,42.09773912804476,38.65245376788718,36.19156262931499,33.42656454262138,37.674656544278214,36.43062476185037,37.13716452054199,41.75532881286407,43.06208681614071,46.21681279141247,46.492446880144264,51.749978322107815,48.06205066562588,51.02363685379322,51.97416540720792,48.22939059970055,46.08560325398817,42.15622353018782,42.40268098069513,37.906318562456335,39.50531547034966,37.28788441976377,38.75766274778265,40.12132015727676,41.77368807199871,42.78931600808744,39.80802192151356,37.29751010052473,35.12423628812019,35.84072577372768,35.019621138479295,33.93566914691727,38.69720153854768,38.34657204119648,42.437870648705726,45.38729890557504,49.154656938795,50.66056919218368,54.441169304469554,55.61199061024095,54.71559119180201,52.21284819790466,47.9018231818182,47.593350286388684,45.03417106387148,42.994301438077855,44.60992607650093,45.79048881143489,49.49470098406235,47.276841186576,45.7354668786871,48.22328354716008,45.16455737582776,43.25171256946547,41.49781951057247,41.708750749571976,37.74029012718372,39.017465379237315,35.10575270371726,38.340794056359016,33.71143887483469,34.21743173041956,37.844905389817896,37.7469105940526,40.8207448064024,41.51575673080604,44.58721977695664,46.165298549841665,47.20370480356335,47.83706496371073,51.51125363551945,53.83704490978897,52.39858501630559,55.525656881479,57.674566696401925,55.71055767220574,51.90196625332693,51.93767422895904,49.077212486901466,51.635138656677064,51.67127556095503,51.06397898846871,50.735159156075696,47.540060429655014,52.259235525096194,53.80684226656417,55.13093300479192,55.72531623925926,52.07375587422644,57.48193623714143,60.44336864715177,57.79356401435358,59.498376286359,57.25221374040176,62.36310689803457,60.74002656354278,63.079665343153195,64.05379960424592,60.99275370929163,61.26107591423729,59.25417814673889,59.541965127315684,59.893018657730174,55.18256823289613,55.865824452879394,53.040466889400896,50.64657129677764,52.506978078289336,49.552512778428095,46.69241029163166,48.15957156843959,48.96244687596642,44.27664180307082,43.25292915235177,45.97693032139509,45.063959105072115,39.935017670017615,41.210801618878136,42.32435237690129,38.2788475497525,36.59208609476301,40.01258370943463,41.98240053568795,44.873397048135935,48.391071993688264,48.60487073529679,50.11368884272562,55.44510604619,56.83495401964721,60.47624006612095,61.02939040523149,60.125815393969205,62.36042450627065,60.04724174038272,64.76453120421768,63.98916871575204,58.523267440613886,61.19764376566891,65.37664118531524,61.79725730569106,59.785237388546626,63.3117608509388,64.15654275031923,60.08637074592513,59.633903638865156,55.508230074015174,56.4918363630699,58.629130992470856,56.375375754573234,57.12926502051061,58.09633567643267,55.13144964852319,53.05291292644774,53.27040016026594,51.851703690004825,48.353872832988465,48.06621608919162,47.42732303301035,44.38901561774542,43.27201349041126,47.02601442096597,45.03478610063838,40.512223312363695,43.841403097666166,47.2882520587344,48.36779238982801,51.74957363560459,52.028363593123444,56.251866169560586,54.23670346168257,50.11536722545363,54.61716973380441,56.123326426228886,53.057385376171425,53.238074041197464,58.96621806806914,57.52924561321159,53.30874823697358,56.59553967129576,60.73416908278121,58.5562611820177,55.178569668261076,50.53789089354439,54.155246966381135,49.87851642624317,48.986775193071296,44.47174419221824,44.235491020836456,39.59065453503101,40.43064982109895,43.31052465843028,46.867615770395425,48.05507669931905,48.465044835821104,44.76772506474701,47.42526999139803,42.99879592199374,40.83535861774617,43.144999416566954,43.578745284451976,41.95714834821439,38.43314299194683,38.446632022879434,36.72656143659375,33.8593497730404,33.20180642103317,35.04808243884744,33.434538503180185,33.41954192837269,33.81448409969586,34.26887428123701],[27.08099133439505,29.473122956248808,33.47049030098612,30.929646078032217,35.90938258119037,31.13865317358423,32.575733350864496,33.514809324801355,30.135053219432418,32.13246607540955,31.6278421354989,33.3441911466709,36.60527309889877,33.4841497441096,36.35600453173377,39.34746151504897,40.03842641244627,43.177527962158884,45.70571554105344,49.19437147933441,52.01239431026462,56.45212271795403,56.8947233611587,56.75208522876719,54.31823958263821,49.98678614266003,49.30981807705962,45.36297416163642,44.90890479351072,43.92197925154324,43.36057648623349,44.105422423148184,45.3363520836892,49.171671313465545,49.1032004278755,48.45226382401309,48.69962418238927,50.7854639114783,51.726347689486495,57.87360663267042,55.13380690209473,54.606464579959365,58.977236130828445,59.601856186814814,61.257985976939004,61.26400676130964,65.26893631002535,63.98676033334485,60.79058895426338,65.55503915078604,66.98748450985406,66.32740753305868,67.81695782249142,62.45824808187788,66.2397653706644,68.43191893088871,64.37509719790603,62.520152772736935,67.07020585631851,67.32678688129624,62.602720236836554,61.958885963710706,58.941277829462436,60.42391912817286,59.536054599813056,56.03028373397033,51.8130340305234,48.42813897884457,44.96582447209121,41.47668296030917,40.44438099222981,40.565909629791925,42.91435684754021,47.670980884317494,47.26454013709663,52.5558466857446,53.97173048940713,55.83143164141781,56.64421270977892,59.01477287632077,57.88925216134171,59.245471955455486,56.529778737325394,58.79729904352412,56.262525174730264,53.66532125833439,54.608413772342615,53.905588437063926,52.61425701150642,53.38820024597279,50.05353939089929,50.759757373331894,46.90911599226629,44.80551277333265,41.05431992479184,38.91906840373962,35.794436218199536,39.80941632585083,38.172350217418646,38.6498312248149,43.26285705079421,43.96132896860899,47.269044921672425,46.94935037765181,51.991144448100556,47.92075668379031,50.58326007765274,51.25361034844911,47.271816768117034,45.49878356315556,41.38704739688592,42.07761473488137,37.745218158972804,39.42146318962858,37.74428406264973,39.07371357777198,40.90086048456159,42.376727934342924,44.050066491624534,41.21031291518421,38.485254962750325,36.080328749860044,36.21006997202791,35.146886853179275,33.78143570399616,38.21744357517773,37.39445667633012,41.717822425305926,44.51533100407634,48.580109538819535,49.59300027498221,53.43984896020007,54.77423381427979,54.23268560199904,51.56081481183158,47.37044465778226,46.51119083604954,44.34426307850688,42.4799028303011,44.48310705259763,45.76770348397347,49.78730891014,47.90297794137171,46.18539197073209,48.87327535185325,46.017614433839,43.823870897671696,42.11705199850031,42.06060485841875,38.06650967110016,39.08085032344326,35.47535323767404,38.75113088365796,34.232034095500396,35.27993260767753,38.81319842448594,38.70243886590151,41.36876822781823,42.387820555604335,44.86400077415879,46.358420326823534,47.89697413535357,48.154309750640294,52.054380173244496,53.93797120208673,52.19312622099265,55.08954021600119,57.07421571348086,54.82006408123897,51.147835821552256,51.251237193402595,48.684771723302745,51.56270118858883,51.83440846794956,51.537062368884186,51.304115847518865,48.46064923065724,53.217650606506304,54.59436481500923,55.69768284958474,56.01950544856176,52.08662010449348,57.33675084123994,60.240911023113085,57.63938254046548,59.76223789473027,57.809170880427416,62.7727733440262,60.999659273656,63.123614466253564,63.80981207010934,60.77341517818679,60.67725300094562,58.48351729271007,58.596297400708785,58.64273027606214,53.84205533605491,54.40901358989391,51.30367296294504,49.17512374365577,50.70533646203418,47.983564331047056,45.14654874521948,46.1193055030345,46.89486300506086,42.35556964596113,40.97585356126743,43.50034938167689,42.79427280128286,37.55885855287738,38.47364648431414,39.503779503441926,35.688749556393084,33.73131862378529,36.772111127089346,38.808554770567866,41.63066699548761,45.094769674767726,45.608710346320905,47.058755973876316,52.43215425366137,53.72906018081153,57.51396937319985,58.36228192907327,57.676342695546595,60.147776738362616,58.13992406035477,62.79181405614696,61.6963115570081,56.363338249469045,59.30459992401267,63.2576443025097,59.51044223364791,57.75692970997722,61.45494643353884,61.90956242081286,57.7797031842287,57.80988308617773,53.52730011456378,55.01018070757141,57.060145182230094,54.685461332753135,55.75179744043093,56.670840183197306,54.03892307855109,51.69359722157217,51.64734806589109,50.577552656648244,47.12496483681203,46.36369069992091,45.76062457239762,42.83564724969129,41.37751387432884,44.92116471267056,43.01483106143054,38.390355792095484,41.350383469536474,44.758071502894346,45.78636746252927,49.37655328649653,49.925363020281885,54.007369987064614,51.637426920124504,47.635507371639086,52.31154830937805,53.47506580212185,50.30238170640188,50.77047128018617,56.372256605695085,54.58475606065285,50.50434879628872,54.05980254259339,57.943746090191304,55.51277040428385,52.22074395682174,47.593091661473764,50.946708252121894,46.62564148488238,45.585304428407134,41.29291007372874,41.35292395164692,36.87834188067976,37.52340951492382,40.60461101245915,44.06833254546275,45.55774442404796,46.091239874388435,42.832504395192394,45.806307662759316,41.657161822241584,39.266546952824136,41.97534302989375,42.23078462491349,41.08440079940716,37.38280665143497,36.8410139377191,35.38657995055445,32.909886484823765,31.47003021275373,33.10518898952103,31.718148309993122,31.816870369573323,32.26823952204957,32.67703228203974],[26.76640456762214,28.61446604866262,32.23326979778419,28.909939610046507,33.75062305889258,29.501454505121806,30.610802447963298,32.05945724681429,28.41721474845439,29.80376884413316,29.503060347453864,31.82549286895,34.37603689726967,30.816434194121495,33.99573392118225,37.070145477712074,37.229194532340564,40.23178590648958,42.288283910793055,45.98754313635003,48.56348940468872,53.06305539734551,53.25112426065992,52.918548381521106,50.6469651997578,46.30807813759847,45.89793816862295,42.12961560576007,42.06186970023868,41.53302384818462,41.03499232806614,42.23138868542132,43.73870073651059,47.31564543932222,47.034121270803276,45.963283285846714,46.51174829173571,48.023767736583785,48.7807428345012,55.038684430953126,51.88189272641397,51.34075823320315,55.771985680216005,56.19805527651028,57.59212763003846,57.48244965073067,61.49908138245716,60.481012208775354,57.311747141061716,62.08478884112801,63.725026940240994,63.265254924929266,64.81868796894778,59.52032541409261,63.538680130088295,65.45795046410836,61.25078985535687,59.69422051545467,64.23344337672893,64.13073228370062,59.43699413370835,58.98201246672171,56.14687942987935,57.2882067661689,56.272734781971856,52.96802152694823,48.506683992474024,45.39458725135453,41.61699642381457,38.42804937694239,37.07772368147981,37.14017649787597,39.86532833108297,44.468722315827456,44.4735607083952,49.918984466975864,51.26663079227036,53.47853741789009,54.21179172938846,56.44581748786101,55.58802652002818,56.77477475783915,54.4392129291752,56.5033958160732,53.68719150927957,51.23974875268876,51.958226384875715,51.69576915250092,50.029665918501884,51.258536365838296,47.727190038326626,48.51206645868667,44.79838238127145,42.9849567556164,39.10689471247096,37.174946782303785,33.86680230853748,38.317366859736374,36.83934423172407,38.01703293661432,41.99590306927494,42.99710905928829,45.765393865820435,45.638451860044896,50.42086089610901,46.35145268213573,49.291791225505825,49.698941827099084,45.75609151681174,44.14576876777761,39.845927351502894,40.08222027876438,35.68497101658919,36.8271295816339,34.92399265664922,35.825949373310884,37.57662747361987,38.66530099259176,40.2853002736931,37.834225427239254,34.90469883148927,32.71806236749883,32.574763809089575,31.879196051646048,30.964858032251332,35.39757033261699,35.277571417739985,39.4321035742598,42.47577820620496,46.58311395695658,47.455716220505835,51.513496095477144,52.462184732747446,52.14667504154885,49.05307301456877,44.76960900861361,43.82626271926556,41.325924913324315,39.136723950951485,41.14369845670153,41.93157641159682,45.93553988426058,44.2443385712485,42.76115039503333,45.621794298778866,43.068344647743636,40.85248923847044,39.58392761168514,39.87305779450641,36.15003310721549,37.700578847943746,34.45098881720984,38.279319365493876,34.338243919324945,34.94983357430663,38.08125915117041,37.40403526738842,40.10851602930482,40.63535746763941,43.05651178939465,43.951425401613434,45.31882841083222,45.120271879007944,49.17786739721018,50.86394933535104,48.82817985111791,51.96217266098257,53.706356607219604,51.61909450752732,47.86742393605378,48.23520206743137,45.647645069873164,48.76457941937842,49.287553493868124,49.17821592010357,49.33051071561462,46.43821942034031,51.472822118472536,52.408612569318315,53.68999534593486,53.58595192693371,49.995921260629984,55.070324000358504,57.79448561716714,54.99867952024626,56.919089987262716,54.82505667260565,59.667619237418926,57.52805604706453,59.887760963388715,60.58612485244678,57.76040715385365,57.79527777762187,55.77444648402097,56.105887585372365,56.310374153129835,51.532950525361315,52.46419641878834,49.535143948100746,47.64638727239323,49.5495429138545,47.071754429706694,43.91753964208482,44.91589538092031,46.18229790347621,41.639723064810546,39.742737242088225,42.7437072938117,42.63397448116392,37.025197759415626,37.90288871922181,39.44558838433935,35.7647130984137,33.33884825063097,36.59221719437936,38.19844185550132,41.69482016491816,44.316575133564115,44.998800389432674,46.8906874311376,52.18834386760726,53.94228744120182,57.39905479868231,58.365290394041665,57.413466804061606,59.874750832761876,57.694401713747354,62.19903331383431,61.102005628072774,55.52002122540338,58.363482380002694,62.19993868942022,58.31915009904074,56.40744705641237,59.97455268748492,60.31803320059804,56.12721937269588,55.89563036314422,51.9491587528221,53.55727538789985,55.89378691878398,53.927339470949185,55.15490693489191,56.52175044195668,53.71778765931851,51.08581641026415,51.56960088174884,50.7029819249661,46.88816757633444,46.18390992876616,46.11517209300991,43.258908712568974,41.494545769809996,45.389198253526274,43.86533653298581,39.0945851697144,41.90040108861698,45.5298035873826,46.15431993227932,49.696075434224255,49.91695180113807,53.96403046967357,51.7318097491717,47.320192721474164,51.833858274596615,53.04296659039092,49.779210598503234,49.82015431184517,55.54442434379471,53.740586054993685,49.34340993933372,52.69250725618643,56.74098383701838,54.25581859445537,50.75241381165774,46.02976986490131,49.29659777185137,44.831428661217565,44.346408204907014,39.781080236767075,40.08704990047876,35.59651451530493,35.73556147522451,38.70624785416807,42.04456303287442,43.495934757863566,44.44099108751295,40.97687807091559,44.03079354748867,39.69234721932197,37.849044836429435,40.967427812957744,41.66555277085306,40.58543084408299,36.405591239414036,36.217863003883195,35.246421208152384,32.131488191303305,30.674552469108633,33.011138610628834,32.173752439447725,32.49042408274368,33.04431701282709,33.588287481531204],[24.557682103561948,26.7162096677488,30.822399349339655,27.908311985477493,33.29260581628025,29.451369929577336,31.232170907811298,32.95706567877277,29.884474199154216,31.808758635126605,31.992183037540112,34.17145133554027,36.70595130008984,33.481220509567144,37.05364101587798,39.91987547592741,39.91467610270775,43.28004830376866,45.44084638673609,48.9459050872515,51.6827223390966,56.06372992969784,56.325953733085484,55.79137931107662,53.351607543503626,49.112199576571115,48.435798869695724,44.63694974732412,44.74236761787861,44.106161540210394,44.30124628564111,44.999132132367976,46.799772035333866,50.5919134764729,50.014984378062486,48.92030232291955,49.06066131942715,50.57486776193684,51.086661040036624,57.197120742995054,54.05978686225194,53.96115046487791,58.41382627429825,58.61023426961967,60.056944716165965,59.671013466714534,63.72387936166389,62.79639527263586,59.29628288875409,63.889667741783725,65.7451422579097,65.20150238473593,67.00147096623193,61.70158444283041,65.90741486684905,68.0060291815809,63.842018317160125,62.45111745325454,67.10176465618989,66.98432766002651,62.47476136340713,62.31208171488617,59.58919855790143,60.860191484117614,59.593652870640156,56.173582502549124,51.95826202638251,48.81311474158228,45.15882079100346,42.044120968974745,40.751791332979664,41.15747789543016,43.828008836476336,48.35316949646985,48.174637811972914,53.79679283692129,54.772430113049346,57.042401789292306,57.48342846678343,59.49772439228323,58.3246380795659,59.19633061268949,56.6266178064226,58.4181248357173,55.60444076263216,53.44669833973906,54.56238576611767,54.36072822477798,53.071230085860265,54.52652498054009,51.20429404872344,52.33185625314397,48.551497438403366,46.54964256683996,42.469464319789516,40.78317178218967,37.255974505994175,41.30334793649726,39.43426438793795,40.17708303756062,44.29376450991059,44.617098078920755,47.66047191733524,46.89677161955909,51.49166718321351,47.07180571858213,49.605832290381336,49.78905716689704,45.6211949928175,44.37197832855314,39.978574800845855,40.79533421398349,36.647223414789444,37.99717726884335,36.74208765377212,37.60751737244571,39.825850274756625,40.83064557357921,43.10558130016529,40.71199809783055,37.67873131248246,35.2371766467336,34.580256903340604,33.54124350240356,32.22523049221683,36.23462001689217,35.425660395493686,39.816069228164636,42.59765247267049,46.96870734057597,47.34779244593422,51.390673570687525,52.60560579610606,52.60479200970628,49.469474283211134,45.37731894405092,43.87705192768645,41.91116366628515,40.02355171031442,42.41591428035594,43.441161124379526,47.734275183462906,46.348604116836164,44.635447057249564,47.61953919018614,45.210991810318724,42.74547717001106,41.415204703683166,41.334339822115126,37.562024979877926,38.67851594625344,35.68714459708664,39.34439517340062,35.409225824349626,36.645776337827996,39.7584587994328,39.24143489405605,41.502828907057825,42.479959295480796,44.29904857300849,45.264290534821235,47.17108286612688,46.72304439216775,50.92750769667492,52.204108108673516,49.9469112546647,52.748851119284865,54.370880944975596,51.944711048231234,48.38915688808646,48.75654569235257,46.510343182656975,49.86841436648389,50.55917709514749,50.71265684384622,50.85224499208994,48.34729320600927,53.299249113516694,54.18295668219148,55.18445549271659,54.924555452358675,50.982676957469025,55.90537362204054,58.60185084989454,55.926472181358506,58.31928033983522,56.5755279156433,61.27221580992435,59.09185493456312,61.14924296995435,61.54259592202288,58.70209197065514,58.32219021293277,56.07112972578947,56.157874434823256,55.995017489207555,51.14560008041484,51.85366634303837,48.595637611266206,46.94981301294162,48.389897441669476,46.12282592598537,43.097622504557776,43.539233922714224,44.65077255320326,40.309082538829145,38.151676866487485,40.79297377064868,40.781636795196185,35.19274852786903,35.654859697393086,36.97831200830779,33.57225533418468,30.956751093087174,33.686008605795166,35.44338410949637,38.69557676588043,41.41862666000873,42.40942737189762,44.12816250257035,49.464128634693886,50.99897240974883,54.67975521640669,55.94344599808045,55.29322156853766,58.00125411927023,56.19994439973878,60.649655902237015,59.21329527449929,53.8599039454891,57.00192189626294,60.60600943475373,56.591786626417885,55.00832509553003,58.77693418809973,58.72368091798319,54.49859153367045,54.86031599300721,50.68062664914137,52.78906104416888,54.94767079249835,52.76181901474728,54.27480695934369,55.47276349612868,53.07515115982854,50.25407069046891,50.326108222990854,49.78300201910888,46.13620277829057,44.92212181443367,44.76545330739423,42.04166039733798,40.00178424697008,43.55007063539809,42.04508917181665,37.25034207956103,39.65205304058713,43.156749991189685,43.80995212514907,47.566259609084284,48.154624657554706,52.03215712333608,49.39322603645089,45.23347570466363,49.94910270731949,50.76429311304642,47.418320495765265,47.87810332594772,53.40594679310584,51.221900130211516,47.073622543381916,50.757203796696466,54.46611355332973,51.717732427698046,48.371799443489934,43.70387767178601,46.66974786968434,42.199326955552266,41.42123211442629,37.197807762907466,37.80171261156048,33.55002425054598,33.56176176776066,36.77478413322742,40.00972311773298,41.81308583191858,42.79724879828079,39.904716714315484,43.26353199161071,39.31931803368596,37.11516608452425,40.530141122858744,40.92202755077505,40.33743040644011,36.14424438923269,35.27799217492593,34.490489352526964,31.99939442222409,29.722354802012063,31.62581772576246,30.932525339899225,31.308971233531796,31.890416449170132,32.32904733671898],[20.60521055268625,22.925750316281732,27.0973588805039,24.597520907579852,29.957692561073763,25.76364455101295,27.751935469120987,29.271064273516433,26.46535432440425,28.83695066033398,29.129331053942682,31.003452016683102,33.78328125563365,30.95619658526757,34.568127328178996,37.25916884233765,37.44641300245045,41.06988821621199,43.61588894729402,46.843573364856674,49.84892300339068,54.10572847712317,54.62502846688321,54.17160242982019,51.49848561513781,47.317720632520576,46.29744569429702,42.35746984673997,42.27496735058178,41.33683994585067,41.894423486740706,42.10779767138469,43.99088336078829,47.991696060893204,47.30089431722571,46.38287677418378,46.16941261709077,47.979913829465666,48.508106575884305,54.482529936946115,51.653489910378724,51.729290631358765,56.13806759952939,56.39751251459954,58.08846018339039,57.72386885835016,61.77297638952397,60.62901306386015,57.012953956015245,61.554921282334675,63.28197771095157,62.57437607850702,64.3964173969806,59.060522697677804,63.17126061128437,65.51375287004065,61.47709497395662,59.965829316902216,64.67221488013334,64.78617243922764,60.35904846343432,60.246804707816096,57.49461191426315,59.075075650588666,57.72383875675389,54.0951262504077,50.22357504483115,46.87304361865344,43.53799662391242,40.282832435010384,39.26318051247373,40.022990138654876,42.3576875601301,46.89862143802207,46.30480737418087,51.982507838130644,52.685284425278624,54.81996904722818,55.08814060148371,57.02952286819439,55.55451946415746,56.36241623694734,53.51780607339346,55.309040588299226,52.65785553060463,50.516218679668505,51.91641435786644,51.52002110264,50.61903132957462,52.00551942205174,48.923058513585936,50.29223469421432,46.41500873844036,44.172024280205626,39.99545979779235,38.45466201608529,34.826069261233364,38.44647396353228,36.314247841078426,36.690341286135634,40.97800518849765,40.938573389583624,44.23032926298474,43.202542223516005,47.841106681452786,43.37324428982854,45.747596601668405,46.03735756914872,41.85469757612153,40.535969510311666,36.22835709327644,37.31380687665754,33.24346905315656,34.93945776515303,33.97408374363832,35.142598941962675,37.53981668974944,38.85677200363575,41.41753188422018,38.721580808361864,35.82146475600079,33.10320840667158,32.52383486002357,31.088560863524894,29.359877302802047,33.310073548729214,32.00421385227021,36.49112321469794,39.11547941678444,43.45710205693946,43.93601803601586,47.84653995583983,49.28727770623365,49.141544436025846,46.27849856958495,42.259190847115505,40.851293132711575,39.12562465404082,37.530529741892686,39.928826747390744,41.46236042062028,45.799569254335076,44.28919185236717,42.31242458312785,45.17557212830685,42.5946575125285,40.07797455327715,38.452012813209414,38.08131308853919,34.17566012921851,34.9624525567974,31.929099506318256,35.396275713452745,31.409788061670387,32.92295258692618,36.069155198545516,35.75394297655764,37.84339495630502,39.13829147377248,40.80233149352129,42.09317483918657,44.22422873160767,44.02212763513002,48.13630549450604,49.480357986106654,47.45247617872426,50.031009754741305,51.87463054485486,49.322444701167306,45.831142704499236,45.957078516013354,43.72892078505886,46.91273298338506,47.45522350827581,47.54778497137677,47.48527494940632,45.124143456417656,49.92068786406694,50.984626901435895,51.82205890327036,51.758246511930125,47.568791910036886,52.56765068292321,55.3709023114952,52.83514878509267,55.420935451902324,53.848662307563714,58.5993438968627,56.72056755239724,58.53170988757131,58.89561491332991,55.8825609895349,55.396357207798545,53.02437501644875,52.96781022166386,52.73718508022949,47.886057412121275,48.38217142954678,45.080323175400075,43.242418480028,44.57324035786843,42.15031659100527,39.25042612320562,39.79794650658512,40.71119484502307,36.31625028919905,34.487745581445715,37.00290233985947,36.708422171227916,31.245652853448806,31.8844697891496,33.08786220331302,29.513715127760072,27.14769888854975,30.074432591339935,31.965302088682456,35.048514384945676,38.146850842241015,38.84461272906659,40.448857669584676,45.8068308950556,47.28230916631456,50.97187607727599,52.04848793957147,51.37244835884686,54.002416672572394,52.15744848975712,56.68365423094145,55.35082235857036,50.0291741132605,53.13591869114677,56.86846826187185,52.97023632518686,51.365467778058864,55.15337978541138,55.30118234939522,51.12985468579314,51.468542440455145,47.134452692069836,49.05380665436993,51.098204705834625,48.767970308927126,50.17723188477719,51.255328982369,48.87050330593096,46.15199586991892,46.11036447552666,45.4832593393995,41.90858598501759,40.73062949626724,40.45675628154921,37.70130300342382,35.76036495713974,39.309408555268796,37.73799574527177,32.95779185455733,35.50444618354382,39.01743392477547,39.748197093687736,43.44893950457881,44.021559660265744,47.96454783589966,45.4209851943926,41.30427766190008,46.02284843332439,46.971653249867266,43.69986456876851,44.196065273079476,49.74863027530817,47.764828340300106,43.668723357918324,47.325316981155666,51.098753380924165,48.54149600058913,45.24957670799763,40.6203852119043,43.872999959405426,39.54451940504835,38.50685728397424,34.2430229483859,34.465941026059404,30.0975479202341,30.573869992065184,33.73736378273841,37.14097522592292,38.78226558949874,39.42610784683545,36.48116559837518,39.714405850171964,35.82955150138547,33.34894781775929,36.54271565866491,36.789109463393366,36.17398470709298,32.13922277909509,31.17864037506424,30.2317495981517,27.931578206977097,25.68615717703344,27.41171441896152,26.59199137261031,26.971402339467847,27.607494357875648,28.1215615633636],[22.416022408976833,24.39589323825378,28.0538953530482,25.16688052455111,29.980340683988718,25.313096318115793,26.646603090907803,27.862924085745142,24.479296974923916,26.41427035160435,26.240832718243723,28.2224866759158,31.100644315205454,27.98891965499386,31.26066763756349,34.14623838999156,34.53349317905795,37.88200610275471,40.416466213930214,43.79300069252879,46.70585132055056,51.06868108973413,51.56292957373229,51.3068804819246,48.74551834341822,44.46782411113882,43.636541815687174,39.68323003831672,39.40019472441162,38.505610181288766,38.46479450413515,39.06950949166786,40.69556929389411,44.55239078534192,44.121277553905614,43.25336479273618,43.36918952457598,45.23783125561071,46.005863593563866,52.12125177469599,49.31140842423173,48.99605841085009,53.391844181169574,53.878243342200875,55.563389502701774,55.46012782026692,59.48249913098378,58.21945068573336,54.88884412983849,59.60055818768493,61.11438748427442,60.45273496060047,62.05289365879212,56.69825948697975,60.633189600857364,62.848610499864904,58.780823572435516,57.09072188766396,61.71340462722158,61.878550172540706,57.28002970965126,56.90169032841435,54.0309557585644,55.54814138347231,54.41335029671932,50.84524147444128,46.78849090332461,43.416780599712936,40.010433456355585,36.637146140145866,35.613792065201636,36.13083150471297,38.457084629822106,43.09880164954071,42.59168228926481,48.13915842339536,49.14483637610438,51.20928676814815,51.723957985563956,53.868274246844926,52.636855215822884,53.73891366179909,51.06396438507281,53.12303552212016,50.483778554011245,48.06014792157272,49.13202607965829,48.643514628073156,47.44508218017086,48.60893261722363,45.35642274559704,46.45392522107522,42.60123527219752,40.47532570414782,36.44367156623455,34.68005625315075,31.209004563234608,35.170110547337075,33.351768473264045,34.09566995424446,38.31375813001697,38.885462769270816,41.96565530170485,41.51923074226094,46.37052085340709,42.22163266139615,44.981201101376485,45.5061932352625,41.53497282999953,39.84580496182392,35.62905129998491,36.174877869210476,31.84344899717048,33.395023654490515,31.82911350490605,33.093163112713185,35.08523404082081,36.54260716162372,38.54481498405789,35.72487764893821,32.928768032795666,30.380583970751907,30.307499923655296,29.12730493486255,27.714148176697332,32.10552211546603,31.41499716865352,35.696189621719505,38.56884317252374,42.65958111681655,43.633328025776876,47.549450490624395,48.76044774229675,48.29271725807917,45.49730604639579,41.29067344210848,40.43231192707041,38.212460131253565,36.359150143434945,38.39642966728115,39.783528196504584,43.86660994607179,42.04394767240901,40.23620321138708,42.974657693676704,40.21485816829823,37.91727803935042,36.2930632359712,36.238131068304476,32.33296815049784,33.51055711715904,30.184161500958993,33.82166626570409,29.786885069879496,30.717537080073694,33.92089128425474,33.47750264837022,35.999338295295445,36.90675682150546,39.153629391245495,40.428813616396724,42.07941971550331,42.15570333151959,46.13089699504109,47.881602003482804,46.090646386710894,48.9621289311046,50.95240961173295,48.70250353255751,45.02407836673291,45.12213037465553,42.56298324437587,45.50098875720599,45.862635211159834,45.69280980395393,45.61252730561828,42.885065155819404,47.758239545357554,48.90435831765395,49.990886256473736,50.10471795433372,46.20970121041489,51.37909727337612,54.22853454926733,51.590433307341,53.757836284779366,51.872090704841725,56.7807015971551,54.97793686001952,57.04559470846241,57.69414014346702,54.66731755842447,54.561512279761324,52.38989580652066,52.55000538959876,52.66374365789407,47.87752095453925,48.567371303472314,45.57788164143008,43.48351545958494,45.257035790339394,42.612333449728375,39.59653479892467,40.70377731731286,41.75183178651106,37.15789472623836,35.61832755629106,38.475828621578515,38.063756044648564,32.60565042652857,33.67123791636347,35.08095643384165,31.237705585439503,29.092852079602068,32.53475805301503,34.26855922189158,37.57001117209962,40.57545819263719,40.95503788463517,42.71627517019436,48.02224755771253,49.70358655496644,53.16689176309112,53.94064687116043,52.972785985496685,55.3542822263964,53.14097541902177,57.72438180019253,56.72745283617384,51.1947133255539,54.00723980509107,57.9725307998067,54.21569346088775,52.29446254929948,55.890600734636266,56.4357073452847,52.30287351180477,52.07078390216277,47.94702462694251,49.36467358759764,51.570079830475784,49.43828412442445,50.5593173898132,51.79055952030798,49.00781111019604,46.48518862758002,46.83673868894167,45.881934572560866,42.14832324323007,41.48084396890532,41.28281901285324,38.39493302719293,36.743273585601294,40.630924375006124,39.037413445446326,34.297574813529415,37.252695100392,40.87592945836257,41.583311543791524,45.057929018041214,45.26738532689184,49.37525469084799,47.240640232183836,42.89120322283315,47.40326243792988,48.74374440291012,45.56442748404807,45.65519798938725,51.390623673290975,49.78879173187566,45.466215159329025,48.79284588455133,52.89076974735392,50.60270846336351,47.17004202131144,42.49742997860135,46.0486735802077,41.74013104969838,40.975096718816125,36.39170532850835,36.30451820978701,31.705623557449638,32.32936641863527,35.24623781774771,38.756330399205936,40.04436427429039,40.62411200966909,37.11595674446986,40.038231176665434,35.76515190078821,33.615015983251666,36.49116640894125,37.02795220152463,35.909653843366904,31.899499375182305,31.617502260349205,30.46305978773672,27.534738332565876,26.14235656378163,28.3005184626666,27.325041415699005,27.64014851450404,28.261388612945684,28.887128715619703],[24.12448389065245,26.43419848866793,30.11878262228844,27.868393358295727,32.40383870490495,27.038141702986586,28.281284174088327,28.742123863124963,25.356259004300025,27.595560555470854,26.898607542581033,28.262132000501985,31.896960473385302,29.112691971022247,31.766636723009707,34.65196497453926,35.70534396204387,38.95785470085522,41.91451336133111,45.14805832589498,48.207429930235065,52.546133275248806,53.26460388592107,53.31780647600664,50.69674349392898,46.402148406028054,45.445659206335336,41.35628371734029,40.56538072323803,39.25064113594483,38.74841736655673,39.145790713913954,40.30109455261982,44.295969819712475,44.25482283380362,43.851063870492844,43.87768126733235,46.3411225135979,47.438554848636855,53.481559181043046,51.114427165852845,50.56658893915238,54.86191270861899,55.680421637694614,57.60225979535781,57.77505758762037,61.743246471716354,60.1598314521823,57.00363880727777,61.78298614940079,62.95433596531061,62.130935310344285,63.52094382626494,58.12782497751752,61.69418089319262,64.08549614211215,60.167565243846546,58.082573485142156,62.63545476785075,63.18279951981233,58.471333125000754,57.74059477463195,54.63203702799219,56.43291929214234,55.56923874483911,51.86868537562651,47.95966966165661,44.33759307900963,41.22548474085159,37.51940554734805,36.81691323032737,37.20899542330934,39.140857359114584,43.95379093250923,43.10784170380604,48.37331924988007,49.638648035925236,51.29374705262374,52.044923348607064,54.44206465357106,53.10894530233019,54.56087108092774,51.63297738298507,54.05105830723717,51.71879960194498,48.985911860031834,50.0624305205795,49.07922781270949,48.072273371979385,48.62699001350147,45.484582309718355,46.314755192910326,42.36933912598753,40.04478497747985,36.28091235128659,34.17373673189736,31.052008902497885,34.73553216038758,32.98430546168258,33.2206168289795,38.016303931513015,38.662914443530504,42.13552681915685,41.86630448035974,47.070385559489964,43.15978934441993,45.85173122663719,46.782408729738975,42.9388481220776,40.876024504396284,36.95993166764094,37.62896275324412,33.275395186405085,35.250317152549854,33.56322816424134,35.28484144761759,37.05702011083109,38.95115230794087,40.61387957288127,37.381002317547534,34.8977026176175,32.30444339644121,32.82271151379092,31.47880893060561,29.85462196879358,34.419443267058874,33.407269758950015,37.663193076644184,40.39685915754547,44.24557417639915,45.64879366349977,49.32291302703232,50.76603534699971,49.88215004432901,47.57101309377157,43.38957091433903,42.954173234607985,40.792399894923406,39.12433017110613,40.90880212158836,42.65726934178441,46.55219160697264,44.37161152783028,42.468991635914435,44.9283248445237,41.79216911453398,39.6871737327714,37.65105488776017,37.44716948542176,33.32789270655518,34.176520202058086,30.3415355731597,33.44514977213602,28.80667518458365,29.81808663161663,33.4469718676849,33.526992454423535,36.25360924143215,37.410994484799545,40.057514204011504,41.91507419776432,43.41478299277702,44.11659971879256,47.80728157829127,49.987602069143705,48.64224249478343,51.434784820298006,53.728843230982086,51.51846146825817,47.83892887611636,47.66419228816512,44.95350441301029,47.47579749405371,47.47283872258664,46.95291516022894,46.47566940129384,43.591286105889615,48.190654310997054,49.821784781865716,50.878498341288804,51.527034306540486,47.506389835773234,52.913026821308854,55.94789517015298,53.45802012083504,55.54930310676194,53.62120492799435,58.711804191917516,57.31863866778832,59.30220628804575,60.10969011990815,56.89136506926079,56.8917174229025,54.6898096338867,54.76609413839529,54.93050509199896,50.197286562995224,50.64019241856279,47.68735628022221,45.22043280580962,46.87226011298239,43.870682264508275,41.13324408419719,42.5370987069854,43.16532304522696,38.497155404346486,37.66638014492692,40.217796225283806,39.139975950151616,34.11670988341791,35.45618399836653,36.459656841938525,32.35807536001178,30.841898114275192,34.33106449512386,36.38529576519008,39.1218448507352,42.87924307926313,42.906095178552455,44.314455688363,49.63606508003503,50.98645728828527,54.622485709108574,55.09486677650574,54.213198062117755,56.442388899138656,54.18320422733102,58.9261693598668,58.140848278618094,52.75028306292236,55.467073594225546,59.66945614781067,56.14641238972209,54.20086652754977,57.79033130896761,58.67957444869292,54.652417058642015,54.33788919732058,50.03823889811497,51.02016066379011,53.02424520967267,50.61997864887291,51.39719637494997,52.26871099948719,49.426819131550836,47.32912922541756,47.386636968863684,46.030000317960656,42.59038358752214,42.18414440477458,41.492932884573335,38.472548492616205,37.32387396845452,41.0350993374121,39.05276099948878,34.51836363171528,37.856447641647385,41.30557105006066,42.39571015740316,45.76265599826961,46.07625471687883,50.298718754770185,48.28675225403582,44.22687630918647,48.74890237351794,50.2731389685519,47.25532806843262,47.52600997145612,53.21761417041914,51.86794963493027,47.74503573333165,51.05799516346093,55.166869027454865,53.101054657683996,49.80786469169993,45.23367860259091,49.01447337104347,44.882475033575766,43.74514583342638,39.28257787631732,38.782820023697234,34.12305083952365,35.31655756499878,38.16937455344796,41.82135608883556,42.935602510651,43.07104588006983,39.47755668830459,42.104747063358886,37.845603550361794,35.370046185101494,37.599772333761756,37.853566425368626,36.36704353137546,32.92215320191805,32.6900084571844,30.91589387594962,28.326717983592278,27.49586802430352,29.134506149427867,27.48885509853288,27.514107250338366,28.002382955477845,28.538867060092947],[27.843715388809823,29.67759635144326,32.91829344443677,29.89880078592296,34.07794467746379,28.944961341490412,29.525809725930852,30.150485649553172,26.17396427578754,27.499608916893457,26.47572013204793,28.35647956584069,31.536528824642474,28.12818882864941,30.552867295195856,33.715046686984785,34.573408463216154,37.34200988601445,39.82312056358512,43.42196322551114,46.11623936314636,50.62287365011032,51.05122888724255,51.13728340482774,48.833261232715316,44.44548909051035,43.97024578675304,40.06283327897206,39.399050786505164,38.51520154609838,37.308168190622915,38.537561576226764,39.52537344574318,43.120324164252544,43.28816654690447,42.64256325316342,43.28606303762739,45.34936187770238,46.53937297598418,52.78408418006756,50.08216055775602,49.12167899662654,53.4382663348265,54.30857436691826,55.95652073674679,56.268337394213546,60.208228231683144,58.78177014958155,55.93782984560751,60.85854501110705,62.02771292395442,61.43451571603195,62.66348021105116,57.325360048894034,60.89741341740399,62.917504408294995,58.84913501356815,56.828552954192155,61.2586071918882,61.55290431583007,56.679935567386565,55.777283775104316,52.67171986819554,54.074250075388775,53.400959852362305,49.98228469758228,45.615189893834355,42.23823763737169,38.74727514760913,35.17489248707615,34.163837960173886,34.05949794922251,36.34850048694897,41.157022529208426,40.83829661468944,45.98301586670084,47.6659444914511,49.480561188110876,50.52143097410841,53.068224441893335,52.2399174251751,53.88364152251019,51.432446764972624,53.95198418650599,51.42545337379993,48.54917304429672,49.09313822032684,48.34815339598165,46.704310202635284,47.29790632099342,43.790948182109844,44.24153464005615,40.45984008001747,38.538409346881586,34.95526998110489,32.64762915324178,29.709357238363655,34.11467177577796,32.89436697815783,33.958778852591706,38.25028936885349,39.70567097753875,42.59837335254295,42.992974212381114,48.158764420904234,44.52181917911059,47.6595544502458,48.55345394068696,44.88667410719639,42.725938759523586,38.760778176029675,38.7283049665145,34.17764605193252,35.59103775299662,33.23151008202483,34.63342210100768,35.94060696359371,37.57088637657051,38.577759626864,35.621337111810874,33.08337225979567,30.927340969197374,31.6702298954278,30.925497359102557,29.985144917459117,34.814497392466556,34.792727496044876,38.75697946018198,41.8257802494698,45.528688951400376,47.11319816757927,50.94420038812832,51.93873757458745,51.03431311551894,48.436479687935,44.07422602429749,43.89884694186819,41.154612140907396,39.01941603146528,40.542728598992845,41.665249715568606,45.317700435468886,43.072788412075326,41.568453320778566,44.063568357354484,41.05065325070281,39.150210603020405,37.504719049399746,37.855169579813506,33.987449238125194,35.52712580639532,31.74371723395295,35.276756606584755,30.98578992188645,31.198783005324476,34.60299389465808,34.21202654756424,37.332392295258565,37.786800207696594,40.88770371379456,42.2605723014382,43.19611965722437,43.74980478138621,47.436962312998126,49.770613751939166,48.3374148532385,51.548935161934345,53.69991123297556,51.84218968301254,47.98668941267465,48.0472137015615,45.11231237908264,47.65839822156344,47.72771690183403,47.14418843645797,46.94481744582616,43.70955407180224,48.544556051578496,49.92713418579919,51.33141961790754,51.802078185049574,48.30271166807893,53.674439774707686,56.587176548535574,53.87206788863135,55.46209741119059,53.15364748225539,58.252647390069384,56.58666005673122,58.99099934231658,60.01696812157386,56.99031140496831,57.36554487243369,55.448407840334156,55.841673980128334,56.328972361743055,51.66188405075407,52.499922668845734,49.84180520951144,47.44821866361353,49.57571434414479,46.65622786116422,43.65033758644334,45.309000933857334,46.34065470562903,41.60728519664299,40.5068539816332,43.51663216773685,42.80998313004494,37.551587544271406,38.97784756190827,40.38101776367355,36.30863618734116,34.52637097798338,38.24676007590851,39.97192022123813,43.2156774891402,46.36275289540281,46.46781775251597,48.216409764969974,53.477231490410084,55.16199472413569,58.54179312819873,59.010590911564805,57.86867154483378,59.99895266259955,57.48450885678804,62.14626544719795,61.493579161834866,55.86132008256517,58.38468720944384,62.59329908465006,59.03014481898968,56.848259966875645,60.251605291633105,61.21288212316787,57.153806405562555,56.40691843101392,52.47043125932592,53.31968766494978,55.60563998510439,53.58471013830644,54.323084613414174,55.54618384738552,52.39899900666613,50.23926798401891,50.82110009887547,49.42353472284818,45.705971561410145,45.589377422001796,45.2502535316536,42.223668390174716,41.03341291961265,45.064773099587796,43.28881194645027,38.71377621632047,42.086857145048995,45.682202650576954,46.535527445604345,49.795694759904194,49.780369632913676,54.032820265996804,52.24631951160659,47.85971421189418,52.196279838630076,53.87494062851065,50.82238121199767,50.66981519340799,56.500312223132994,55.23843849346339,50.82195053638461,53.883296486137894,58.207497610968744,56.15660688571882,52.66345029408302,47.99876698521743,51.75004937208335,47.484128314467036,46.85908733566439,42.124448169669876,41.78354320816304,37.06001257522601,37.85127199035647,40.562199312747694,44.126059544037744,45.12372092094167,45.59347583646432,41.639037425116946,44.191539301077206,39.61098466479543,37.736190582162884,40.09080089804253,40.79329000752505,39.08235379536274,35.36792023502113,35.724038311465925,34.18089224551281,30.872627901980675,30.458378692554987,32.73306094392958,31.367187140106026,31.469559668584346,31.94574223573434,32.5531959671837],[27.521730254764712,29.591335589797037,32.73521942237236,30.52282520605581,34.312147723276574,28.417080949981482,28.960565787410776,28.705480806878576,24.929410938258776,26.790267983369812,25.323723252694837,26.336098139391957,30.402832546201726,27.65354592407934,29.449282388141928,32.443228227850454,34.089060047552294,36.926411004923,40.07879774081541,43.2966804673493,46.31062008949734,50.66874181877625,51.496436892787536,51.92256773307467,49.40314769363194,45.08069439639845,44.236832413105944,40.13528559744073,38.85724689654062,37.35648686264404,35.96958496397894,36.62989135463707,37.198606250428874,41.064037422339986,41.53246936135953,41.47347947437351,41.77349592739368,44.60733523850157,46.11526103446209,52.15676323119706,50.102399119039546,49.05778000786654,53.22120850638459,54.44015214335892,56.47566654033337,57.0515660493372,60.91764224673396,59.0499407710726,56.29747468720308,61.21845170576933,61.97970239985716,61.11970969674741,62.16500101805998,56.78606759849459,59.93495344637618,62.28419533617541,58.461554392516874,55.99444308098349,60.38238823627398,61.20103381579147,56.306007667291134,55.117015380359454,51.78170950382156,53.681414757920415,53.198757403799334,49.51752846924244,45.58522600634687,41.83810663897145,38.9120945073772,34.95101086687566,34.484376199858595,34.559780590930345,36.15927195057952,41.09442889135048,40.117372158924034,44.999540736665665,46.70526633627568,48.01478071837454,49.14574706524683,51.868259092299425,50.728080037873916,52.65642639568637,49.786138304222355,52.641008112092926,50.52790089174632,47.382177593350555,48.1252078245613,46.770383461200254,45.600394147087556,45.55080677672046,42.34970363530377,42.72827250421468,38.799531337133196,36.501804499955625,33.137559846048326,30.60925834753732,27.98150488843032,31.74550322384885,30.42717727318888,30.74509351522968,35.69015394706537,37.009090605606566,40.40962149382948,40.835622523736134,46.34019684327312,42.945689367297305,45.92230397053394,47.26769936171444,43.76222310186655,41.2058062617552,37.63026945794878,37.83573624728957,33.36016817781543,35.365117280180534,33.101876955547,35.1236923977045,36.33543072810039,38.5730953266005,39.477686356216104,35.94635426799414,33.836261254340954,31.46272460338403,32.790785137681254,31.629764536751242,30.239742674504903,35.12412632486914,34.532798917924595,38.45876519724789,41.27885999707564,44.68672488138712,46.74188988038404,50.237257594199505,51.56371899550014,50.17658860750015,48.22082268869404,43.958994126577394,44.25159812978862,41.724983397445804,39.96754408148509,41.245246294539776,43.033101026634206,46.51538095361336,43.880868045812456,42.115447733593854,44.243000241904234,40.781849316633,39.048697805936534,36.82743316203081,36.84947262939271,32.739475676481305,33.76192861849132,29.491728062544585,32.356260407602704,27.50768514949802,27.87890495373338,31.692655230324185,31.94254026784296,35.1500783067737,36.024319041292486,39.410629640024766,41.53147871284852,42.45232546757994,43.76277766138297,47.09011052393522,49.858361187174715,49.00165276804411,51.972096386670245,54.5318850074828,52.644137296825114,48.85569212350257,48.51144833599736,45.46933015515061,47.490383955957135,47.11575426411182,46.15908359317004,45.45115740456973,42.17085532049017,46.60938838809121,48.56914211364942,49.83501447828015,50.94088958273079,47.19963934378409,52.8108623586317,55.94803757480511,53.47491436836455,55.1039365112475,52.88232130829042,58.161058205736616,57.087073466046746,59.23499135980737,60.38427228271058,57.08438007943472,57.492777098288066,55.48665771088628,55.71743708177304,56.22097247443343,51.63701173705593,52.12756252161349,49.52052319754352,46.68199229799822,48.654418586286496,45.3341357236063,42.67524976348651,44.69529402157398,45.24556943666413,40.45883157008738,40.21625727041504,42.88392790342589,41.43848763819695,36.721140846585975,38.50947109810871,39.507536005321576,35.16940412934774,34.12689797753046,37.98508044995335,39.9905463235182,42.64927688913718,46.571739426272124,46.17714765862519,47.56071178843428,52.77866772022396,54.15694337971114,57.62693655252392,57.68799895243727,56.57836719446666,58.48222552254951,55.8798183694738,60.69786935570929,60.332711956580916,54.86816290383184,57.235613645602584,61.72201303301751,58.47262600651254,56.245575834453064,59.61493267467736,61.02569675255073,57.12235643653407,56.254210086358746,52.114897189049834,52.414737928256194,54.4462497209207,52.132350622837976,52.4642515837684,53.300920698862306,50.08900755269307,48.415682999093484,48.711411253840176,46.87767863464702,43.48741570754679,43.69631589737062,42.87163408742716,39.73480128418731,39.11011306580545,42.97750552999198,40.85368100695696,36.55989150652914,40.34559616892209,43.755132855772594,44.959880765976614,48.01664995646404,48.029478803969035,52.39441704812598,50.8438971159502,46.752410730078324,51.0225641697846,52.96716481091698,50.14031170547533,50.119744510623605,55.889605130349175,55.01168770439406,50.81717442616553,53.791360839639424,58.15513970736662,56.44907643020616,53.12360502987037,48.605224620715234,52.70512590183751,48.70692539263137,47.65392684523555,43.02643749400582,42.102119266469785,37.314730455205975,38.84218443739235,41.41266708696246,45.157818854314144,45.87787689851462,45.75420214416169,41.697007929416124,43.857201859245826,39.35297489670812,37.082963171159896,38.65634618139051,39.04364460395233,36.93849538445264,33.90050417401,34.33266316601257,32.146351660817515,29.23198755321886,29.479970047641807,31.211864942570326,29.20795248302187,29.040081561164342,29.421988785640224,29.988192217310147],[33.19562539893357,34.9689311243583,37.76295367364097,35.056459523175256,38.44266294409158,32.677583062369415,32.5750353314343,32.23807696021016,27.998465050504556,28.951516767734756,26.94468556624939,28.19020711321785,31.963180211833645,28.765275054814005,29.883320026042124,33.11143602892676,34.838766687096815,36.97705453662459,39.72129743285759,43.23869119927589,45.844213222521255,50.329054297315174,50.91914764895432,51.542781429269176,49.40098551303339,45.024391190983806,44.69402584530165,40.809951230129045,39.44684014638351,38.263861977265144,35.79480634808254,37.33756143243245,37.40715867683877,40.77754230425317,41.73413528285734,41.65000560810864,42.632419237036316,45.26211101674565,47.021982942140234,53.179232332373836,50.98149006203731,49.356994728340254,53.440512941924986,54.87512552115676,56.688607616896576,57.554413402940554,61.323985732680796,59.49995372144815,57.21949739773416,62.28393802124075,62.875621563481765,62.20422665045279,62.955056326898905,57.66804499751111,60.60820621353387,62.594451997760515,58.70397520445859,56.12808406981077,60.29173406308573,61.00733196469697,55.905015565774,54.31756961350636,50.88182295344741,52.432992479233434,52.35117416654964,48.985276170964646,44.63193692237066,41.104495009392295,37.943138990034925,34.039681868782466,33.3987382347092,32.758652629152785,34.51493521887004,39.45550845655874,38.95118228387036,43.415272951380445,45.792026710265674,47.030386515541174,48.65320561910059,51.67273093155001,51.0987115951128,53.42087419469935,51.01010208053553,54.12705520761889,51.969643502702745,48.548598641340114,48.66174694259358,47.34054664747145,45.529597489769095,45.16699461355461,41.62929466780024,41.34221184924878,37.631945453182155,35.77197437441945,32.9015821074291,29.95783062756402,27.90027509552684,32.26854660115691,31.68395150621682,32.69015229110264,37.21667850596588,39.47033852835135,42.34193671649222,43.58220457428963,49.1146850744576,46.16200185344562,49.531967803895476,50.98188141009431,47.736561799163894,44.98102126553393,41.51555179759844,41.06280842591564,36.46627936444417,38.00978370877463,35.040694239437975,36.85900737885196,37.43632861356256,39.52738015594,39.50153707699029,36.164382422394894,34.2087536000595,32.38251116755947,34.17803077879153,33.61955398716567,32.89263263900399,37.99282536921079,38.280205970022706,41.85133454446683,44.91635795772354,48.051857687323356,50.418900678735106,53.954472040841345,54.90096688686351,53.34800727178283,51.30063152355102,46.91107070486217,47.60787770085071,44.54673792640796,42.4017009179541,43.29450917160868,44.52668367118982,47.61541075837578,44.79262881664834,43.45824565468724,45.46608953440415,42.02796423292519,40.64474270409901,38.71620265793055,39.27528312183535,35.438939713693905,37.02539634149354,32.716297808777284,35.71923486621989,31.121703957560243,30.652250482408338,34.295535771537544,34.26773971464211,37.91929078167852,38.11556692865476,42.10908621748314,43.920756012871735,44.14286880731398,45.54807120581948,48.69745984066456,51.78937056199191,51.02765524391675,54.382844130327676,56.8835117441933,55.39369671866713,51.4577804302873,51.26322639845995,47.96636791231532,49.825093981619325,49.37970784018027,48.21218638192052,47.63924311509977,43.944892755136664,48.44365377141263,50.33367950370205,51.956907252958054,53.09816680293964,49.91107198738847,55.52210839537079,58.57732738387018,55.947211636301915,56.98306985366024,54.342818328285944,59.66107839533012,58.47627286899927,61.0314817924993,62.476330097212,59.33330283124288,60.17997037294385,58.475374057251074,58.999941955070646,59.84579815558272,55.3754662664715,56.168275232457916,53.87171604866982,51.00897328615162,53.374734688337334,50.04472700554717,47.24528202168371,49.56400110692023,50.35389377893412,45.52351233714269,45.22275722415924,48.19125631389062,46.902812922096686,42.12234018563493,44.019930782752425,45.24234531770588,40.897698318574555,39.763946844540314,43.77633142063689,45.5913694006045,48.52633222988039,52.11540303109861,51.7261141421743,53.300867618305425,58.46442259277667,60.0271138063422,63.32887485582173,63.30898290160861,62.00502320190575,63.768394408125175,60.930101139640946,65.70413928902369,65.52990948728956,59.910992974318106,62.059612472040186,66.6089204563908,63.40544764206575,60.96261458422239,64.13836200854286,65.71727925411066,61.82899102835637,60.53539312123714,56.70525795697578,56.74230962112544,58.96481377705478,56.93656819518607,57.11152947006342,58.14734644415338,54.64613183828541,53.080921597377795,53.76362349306634,51.76623679421245,48.25431734891684,48.81193694355788,48.150613508022374,44.99787332738014,44.494655304197565,48.548482443337555,46.49754819457796,42.265530768849445,46.146361289775,49.60573782204805,50.71779289027321,53.645762923352365,53.41000211604273,57.81262539849687,56.49400042402896,52.223471635422385,56.32007208818848,58.43890933670831,55.63071260556538,55.29724518396112,61.1576001629444,60.41757075185995,56.030432746196084,58.7774192926266,63.31955523031033,61.679533061378955,58.22011674632091,53.654146042219956,57.7593652979097,53.68137720094129,52.978230984109466,48.16409328020674,47.312004749964515,42.48088705325715,43.764631641517134,46.206100576088645,49.889184470982435,50.47679699210738,50.54873317726959,46.1766102985132,48.17349673139893,43.416616122881784,41.63200623481129,43.114005545571075,43.823206244392104,41.41823239201262,38.35699039397263,39.322287024433365,37.19859781746784,33.798880257184635,34.53647063488156,36.64783429623205,34.73317501534802,34.552969524055555,34.86474643339038,35.43289721480816],[32.021766505756474,33.683312746119505,36.13384978646903,33.8077089500352,36.69463903435304,30.563656495018733,30.228293752438024,29.33015440566246,25.18730899728872,26.287879518229936,23.97351797340554,24.692027298267742,28.905681690618653,26.16167438073037,26.83152044808121,29.913331250485715,32.12346061617177,34.29836839753464,37.49995504446098,40.706073197071575,43.543644138554356,47.88996986032269,48.77251047808815,49.612159590479656,47.29951755257985,43.002679049665595,42.39233426374207,38.40422917645926,36.64584985821226,35.08629104066749,32.55729439621028,33.72988792885286,33.58783321868388,37.118884732873404,38.19804094666941,38.45333694331268,39.213234166239666,42.289417911630885,44.23886307607626,50.23363948256266,48.46509825285301,46.80639128809462,50.77248347998327,52.42175686076935,54.500833069931595,55.537945442265425,59.24121523281786,57.1169226571456,54.901350950206925,59.945320787523585,60.26173833500834,59.42030079650235,60.05332374610828,54.75783955939208,57.433611529923155,59.62542087958031,55.90499899324916,53.06803710667724,57.21034577035134,58.254612243147925,53.17400954664841,51.4616992243665,47.91315688218437,49.818945168317725,49.79768841955143,46.2395686121318,42.24570780832159,38.46852464526672,35.743106481168354,31.60512261855963,31.374827748910008,30.996944375627777,32.215234548648425,37.197033427054514,36.18301201422734,40.537682455295624,42.802343441283774,43.755487788483904,45.3578360033173,48.43740797823383,47.65024711348824,50.11365157319274,47.47831587860819,50.780274662360995,48.87486969875588,45.30144748533869,45.53380523256827,43.86377904100884,42.36562469023981,41.666888862517276,38.35021966764412,38.12815692166172,34.31204374562577,32.19170415599082,29.409151705083865,26.398283142476096,24.49753016826771,28.447438064256055,27.83662912248807,28.54004344091448,33.29472208399615,35.569940198438935,38.60730591570179,39.963131249081904,45.64151351014809,42.9266316036116,46.27473271144114,47.995250012735724,44.94532909882213,41.92640654378616,38.75655420390536,38.2829205295599,33.765575702578566,35.58371365296547,32.626174073139325,34.82853100536493,35.295197865356904,37.79536612514383,37.71486250629915,33.99285719849709,32.36474210005985,30.40860340279843,32.619182374226476,31.814731496337885,30.875041558036987,35.97118668189885,36.074328040030025,39.48067772315611,42.412570527882785,45.267079944064385,47.99114925391474,51.29706794361606,52.35655677380014,50.47425677401545,48.83114456766305,44.51858052612997,45.61521796484012,42.625608215701796,40.713389672622,41.37098541673035,43.03635492943363,45.957251765582875,42.86792404893946,41.37018749707542,43.10060278172837,39.39132199786436,38.1512938709157,35.88972858979508,36.30067076517176,32.40807022928744,33.78828634472336,29.26820829012257,31.939166436260134,27.251753885938324,26.62144529418317,30.36598514426174,30.610507323138567,34.3413243177291,34.662747904545604,38.86687176006837,41.06691865157878,41.206835092402194,43.100050145162555,45.975936503315985,49.35911985976891,49.01152941437569,52.218186089979426,54.98889716388578,53.54406101925917,49.659659670412715,49.1989041159233,45.812679363156136,47.27948207442459,46.541941757699306,45.1289020156016,44.27477479186398,40.54000411381065,44.798933174073625,46.99296491758645,48.55949518522395,50.07121063850249,46.82872096696985,52.550390262338276,55.71632177137861,53.23165985044687,54.22618481676512,51.62961179411338,57.04221311573158,56.2589843245182,58.649431088669694,60.19718728466071,56.896848742926046,57.819281137879976,56.11351171935701,56.58455901417127,57.517287847041274,53.16125840976653,53.80536861024953,51.66401711244663,48.52691874916305,50.9352972947188,47.388999399336456,44.760761313927304,47.41853044441417,48.023999419553824,43.184874038297586,43.407408525101,46.29144291006006,44.664917280175466,40.22585689289718,42.42076122782219,43.54416169799515,39.08147796596209,38.37904675140204,42.59133598285474,44.41264619282466,47.15253110821479,50.97167170838873,50.20395063115107,51.67434759761232,56.72111201128397,58.25223024057608,61.42976495183556,61.09413498959182,59.67181255710026,61.20916779370537,58.2051033008489,63.017661103367594,63.110917595299775,57.53851077817838,59.474066473511805,64.19774771013138,61.232148965009124,58.67208881953912,61.73074457362908,63.669405010104484,59.9136891943566,58.37314411172291,54.54905849775056,54.1341385919927,56.26124617467953,54.198611612106625,54.08635749505701,55.01855852749411,51.378329694525135,50.10743320000385,50.829880198154136,48.566215592186296,45.16648374625884,46.05733029441184,45.273154028720036,42.092811627003954,41.93240929710335,46.00504909966121,43.88965550229284,39.87441764588725,43.99462465225965,47.38300588879412,48.56722154865113,51.2542992725959,50.85152118587204,55.30772561654502,54.298677542743455,50.095799104113816,54.00694746765313,56.38877395923826,53.75936468616887,53.31128850366915,59.14746506159516,58.767912317412076,54.442728449088264,56.976064464343885,61.62175064274492,60.292821944193506,56.89941912105794,52.4515678646092,56.82498417844145,52.957739841230655,52.140182136827555,47.31517509873276,46.04114872586224,41.18695820631471,42.891873377233345,45.115976395156586,48.8801956180597,49.17264146001295,48.89087250502217,44.344585406082786,45.99069827349228,41.24447772021038,39.40217065799692,40.35574186138166,41.02071775591541,38.30925478826261,35.64085714646287,36.87954434307663,34.474510948411904,31.108872862810568,32.45927247123145,34.445588418042206,32.31260475769532,32.03349648455338,32.31741385678601,32.93601146038202],[36.167142669427804,37.79917703530519,40.03226976394533,37.904430372305924,40.39256944212521,34.10552474336286,33.45871694416506,32.073345259932594,27.984456288692137,28.841074307784783,26.072811456653042,26.31730237464812,30.728938738252662,28.258356653973475,28.059476092430373,31.038229402850266,33.74228421411639,35.451527553245484,38.74258087507901,41.810764633015914,44.5399518615154,48.79034278560572,49.76893190678954,50.93388294415833,48.752205715330426,44.54165444988086,44.02696295296724,40.14045262955837,37.98676789144164,36.26232813557856,32.96969056485998,34.28851639902984,33.48443201841,36.77684624747819,38.399373726658176,39.054425881021906,40.003139396045846,43.402276468521265,45.676297406472145,51.509106965421005,50.09010215172797,48.05330805702494,51.80729165377678,53.78884564269748,55.94622703023717,57.30373262666966,60.86322350904539,58.51827904534901,56.66696204918449,61.740269148319776,61.70029628578376,60.814885536468196,61.14327052836212,55.93920163193545,58.17522383330323,60.33202656033857,56.773757098745214,53.60594571803951,57.52273854452112,58.84316540714721,53.67603522678876,51.53032503886257,47.80539996998878,49.80042111720779,50.17511982571482,46.70218133416914,42.80659936537053,39.00571923204661,36.585877024539435,32.354721196597744,32.39110686007855,31.680994319714408,32.47290365360166,37.397611483122745,36.25765845832362,40.02161000853497,42.72306475225887,43.23534817349989,45.21701426483876,48.573244080853456,47.9535162390188,50.83092321199095,48.245805523339655,51.887205508717535,50.25402953755628,46.395298431256954,46.35773259260162,44.31895373434052,42.76091762112324,41.39376210502058,38.14308964630362,37.39475499558344,33.71591362377352,31.676867172095893,29.528876901735202,26.161426442445016,25.031788854203786,28.718580433470514,28.57684370918788,29.155742304313456,33.94085431526002,36.66256947772705,39.6346903320205,41.48629868113305,47.285122859660014,45.034494417124925,48.442713193052256,50.46613445025378,47.70019515638112,44.40051728238186,41.58331531368468,40.90692336367703,36.487296711113785,38.338411740015346,35.13776135849371,37.50753910124064,37.55573969329175,40.25130486647135,39.58120695548202,35.73375956109584,34.50411501933431,32.80455608926152,35.509375751332406,34.828852082849544,34.02671151780158,39.11872724964827,39.36314121912055,42.49647390445501,45.361252487587876,47.85372898258954,50.966827191256016,54.060138743321716,55.092097249233255,52.86397894053698,51.56568649644806,47.308284030106485,48.850215532251376,45.7505004204573,43.8687942025842,44.1836790571322,45.87596680531134,48.441134938961866,45.0810884429391,43.708335240940265,45.12092732215353,41.234415309470265,40.32962335705841,37.95120679614382,38.461530918072484,34.69714133006634,36.03673717207626,31.354069427272762,33.55956975493708,28.838490886739503,27.812184301323214,31.574859535772468,32.082969973529906,36.01562760845927,36.190499998060446,40.82811341258696,43.257918465527624,42.978006978231,45.345457236089885,47.84945949423057,51.625196630746444,51.6653992039772,54.904246571950715,57.83672238597321,56.603117972317726,52.72305846632584,52.12988899078396,48.59884512251217,49.655323258518145,48.626136988162884,46.88491724040857,45.80295254282867,41.8638253809899,45.804775277412354,48.30100954129566,49.96910028401911,51.88284896808099,48.8662473666152,54.647898081825815,57.86269093318394,55.46485762559364,56.12842194769051,53.373468909765066,58.849761056997245,58.366332670810216,60.81433882809559,62.585972539115126,59.24961324029977,60.42497035379546,58.85116744701062,59.38377405145498,60.49745045273994,56.29265348075605,56.894325599623556,54.960964232734135,51.60945995895919,54.09583912668286,50.36942838898856,47.9053707018616,50.86044777264626,51.31283695562506,46.49685195356464,47.12986441496789,49.934076588071164,48.0128262258479,43.89686149310751,46.277269095533796,47.27398013917964,42.74655567986234,42.37177605361329,46.63907200286807,48.500391776400676,51.03584419699153,55.065802115181086,54.07167955763513,55.42166478020322,60.38016520227955,61.80852652496998,64.9432136070291,64.35320732013831,62.872720766866905,64.20046954558161,61.05877352407496,65.89443653371566,66.24666945182004,60.744124524909935,62.46505290567,67.33670749752898,64.59126190908587,61.923360855761025,64.84123505723512,67.09492583450248,63.45673750014091,61.65747834326461,57.91278802163368,57.06817816847995,59.123877292791825,57.061614523342286,56.62972400465547,57.41984969123476,53.63351238687606,52.73401983403696,53.47314009469207,50.8926260832139,47.68735736140166,48.9315016294895,47.95338524676647,44.757700982510706,44.98717219775365,48.98084302703972,46.729449755595276,42.97897957519814,47.293131572165315,50.54762123605963,51.87428884263475,54.359214227487975,53.8647228821136,58.350283374653046,57.58898670019636,53.51556619192475,57.26853320863839,59.84993843405686,57.372299048346264,56.8601185049542,62.652034829217634,62.5363970020327,58.274653424801556,60.641917388968395,65.35297331788978,64.23543790866114,60.889314349295184,56.523494641157406,61.027703808518616,57.2710816536165,56.40611452884619,51.59521631542631,50.10356083654775,45.25864586252544,47.167727075310424,49.25974466551976,53.044578459407,53.15197066514321,52.67454371616678,47.990931318605604,49.33627024992466,44.58315759498783,42.802062415839984,43.270228480656115,43.903965586985045,40.86878220161896,38.64561801623635,40.15026581723062,37.48316747466676,34.204878102624974,36.07736615579593,37.90183349159011,35.52708961979065,35.10505835882823,35.28688155620148,35.852246567716996],[34.64717848034647,35.92374823833215,37.762857099226615,35.383064242570185,37.49085224125221,31.347414071705373,30.33774574522552,28.998515564424576,24.728395657212157,25.17588342288419,22.299003235226007,22.765969351559626,26.904903603546078,24.29480896545123,24.032591838242478,27.079177927517513,29.685817709215513,31.32620020248167,34.57288826901348,37.66967117226462,40.384673206527424,44.65334720737954,45.61607421823522,46.76865618144391,44.58475826969715,40.373540699788,39.889611105413536,36.034817065492504,33.917858621060184,32.3254703727114,28.999561517509182,30.534097991722977,29.88894459420062,33.11781657540393,34.60615672811347,35.083449650873646,36.16546123183128,39.38038112867905,41.63485139575006,47.516955318957855,46.003658038255985,43.92767282553028,47.703076499308565,49.65999680722757,51.7892769797026,53.15959793119924,56.713244817781366,54.38562622343347,52.56620346197937,57.6558004627746,57.62915709567211,56.797521780953666,57.12860412986005,51.92729096906652,54.24516623150885,56.32420980962623,52.709016975026294,49.62148460417696,53.57051940515768,54.785119773696124,49.61667952473823,47.559502727181176,43.88566653784488,45.82919426470261,46.1125520370652,42.639881782208136,38.70031949003405,34.90846518908286,32.44147584480672,28.212886879976764,28.241529064581126,27.626093049950185,28.423933235309242,33.37010116796169,32.249663962652015,36.20176318011482,38.79046352121568,39.48437684985378,41.37914596377213,44.675069916647104,44.13460938892381,46.949425955580054,44.519355943630956,48.103968797205304,46.36489257603374,42.52044824380451,42.38338062951657,40.50687680541354,38.79694104175498,37.65426440277172,34.29659189069206,33.68955018440904,29.975951441088107,27.997713036074742,25.677111094084346,22.377583243239435,21.087089396125627,25.08879192737357,25.064135898082426,26.16594106827685,30.54845882483653,33.547368080850966,36.18177252738738,38.23763044990835,43.93374879999886,41.772139393082604,45.38148608169639,47.33802320682681,44.682012265646115,41.37140310599816,38.554150585570696,37.54162845719918,33.09788156204305,34.722789299935215,31.31933134896831,33.63353853454878,33.52991980328536,36.226288817833925,35.440197190953334,31.591516661799055,30.41160747856817,28.79498467729131,31.645754591597946,31.08664641420746,30.48825008339775,35.597730342618554,36.22778040937575,39.15314746984838,42.122541339072406,44.50556537394102,47.70330843361278,50.83027900356779,51.65706453343563,49.42353887800254,48.03075179680833,43.741634901128364,45.44923460091595,42.161841854693684,40.19256163481782,40.35631209433877,41.966700971018504,44.41302377474761,41.004482280885476,39.700188463045414,41.08160374969978,37.22801491349448,36.38777716316589,34.12753732771268,34.828989743456624,31.212699495213148,32.869369494285394,28.330678259384015,30.862180620254758,26.576329851827914,25.109255450618594,28.594032378258472,28.74196300452745,32.78237344996756,32.62487038602481,37.36375232844156,39.56110654679872,39.10495746641521,41.42429188284636,43.90751427823813,47.71793726532219,47.78548134924265,51.11310027999662,54.03387623735721,52.936400176180896,49.03065893860492,48.466356505076845,44.862920567938474,45.87252447669564,44.86620278160257,43.130235211050085,42.19406165501394,38.170560572816065,42.25686590308218,44.56888130789148,46.34923930796597,48.12940252377423,45.31475438375815,51.0453057028878,54.196057211417695,51.72633276491389,52.236348666090144,49.39359379336405,54.85800254267319,54.32581782291953,56.853458065803665,58.6862548121762,55.40460394429957,56.70617455050756,55.2443622914979,55.89632305778855,57.15605052444229,53.02239007647729,53.78983437442986,52.0453641802423,48.72505450342969,51.473470204177325,47.81915417075277,45.21949651605647,48.34018560024268,49.02714061276611,44.21102252936729,44.749816516482255,47.803159106260416,46.12365401792958,41.917428940899605,44.39658837393358,45.65873433760487,41.175064409451515,40.6974188667463,45.15814288361278,46.77227812517284,49.61546499577809,53.238438886098045,52.182695295302814,53.75574351012302,58.616991426188456,60.32080228497806,63.19782121187861,62.566055261363815,60.86873087626809,62.10760362292144,58.79166048343496,63.54270953060779,63.992060395316315,58.348125469881474,59.9200156652355,64.78213276492379,62.049269719973886,59.23357327307333,62.01318443937238,64.3491577482234,60.73759395373961,58.662255796398426,55.13977743914655,54.17783213402386,56.38351580953916,54.580164412049115,54.151879986058354,55.21867593657961,51.26431169690879,50.26656637471255,51.38610034882572,48.86294466037639,45.43452299366896,46.83596260125295,46.18554332170837,43.031271535164784,43.163532045597094,47.39789391300912,45.391086248448694,41.60750722217921,45.89551366458964,49.271577758616395,50.35566782752839,52.72436994985376,51.95268113796671,56.4313505957814,55.872533080187615,51.56353135721661,55.13583671618375,57.84712933798826,55.38652532892781,54.55985412232277,60.41086857515975,60.43649888242536,56.01523780711133,58.15627359565339,63.00548026322087,61.99475185299632,58.560885919598526,54.207723027607294,58.775325842679685,55.053177292897345,54.44958663545342,49.497477760227696,47.9500382956692,43.103799551711994,44.92543928532992,46.831768341993886,50.56805460167925,50.50170803323118,50.099476691142186,45.21511491549989,46.434235843128064,41.56675512073684,40.11669554322193,40.60997432721423,41.52790254025727,38.41851255696516,36.02588395952501,37.88865122074666,35.43607461384115,31.735845081873585,33.87760113150204,36.08915577191231,33.99591679591613,33.69465742948339,33.93227143130809,34.627706354999624],[34.15437116028839,35.109510721544986,36.69374692212956,33.8445043041109,35.777352327323065,29.984354734613962,28.681740595017057,27.70576465068563,23.17395614738063,23.029346259563223,20.201036839964942,21.286267845618262,24.79568067743311,21.70908739287971,21.638051535260793,24.86686755013279,27.056658687134288,28.56048106187739,31.464336755657495,34.80187562731883,37.34742374397423,41.728674647838396,42.49496694155138,43.52970718581413,41.45891249202527,37.190079170100624,36.92818401133537,33.17219988881383,31.322755159824325,30.12520457938614,26.756475332058127,28.803588844205937,28.452144123693785,31.4641399616191,32.744282914056434,32.81497084769125,34.209494832107985,36.941969539933176,39.07966294241018,45.11207865451161,43.25154487415982,41.11574725546342,44.97816044412179,46.803605727488026,48.746996302718266,50.06115772708836,53.64035485257246,51.48998966786318,49.699450249321636,54.828435720403114,54.95286301183367,54.275278635581266,54.65759760203358,49.47205661300431,52.00618355980213,53.86932603500455,50.09908144982759,47.23681603146573,51.21555168163303,52.13191162443418,46.9383132595141,45.023686507613185,41.46670726120166,43.13126465523094,43.304848456613506,39.95840289646005,35.73412850270859,32.10900729594212,29.304074854689087,25.213284699352872,24.964402096734077,24.2480671240145,25.40496991859713,30.363580312837243,29.606770621921633,33.81011224857487,36.37477345116397,37.431311675008665,39.26570852995794,42.46992473315588,42.1684709201584,44.85119355173339,42.74180903127688,46.16910452824521,44.177021423072134,40.42338618175767,40.07718361079308,38.584518317085625,36.49614943669433,35.7871121882249,32.17227863404774,31.64845546579973,27.993942902099114,26.290764641894395,23.755126256739057,20.598998923900115,19.03453646857682,23.677478376108393,23.82250493416508,25.693387116802132,29.44328218522572,32.73237630951431,34.87718227481413,37.10490695819413,42.59307900132734,40.41889223339508,44.258125250116315,46.00356825060245,43.37455481692557,40.18924770982094,37.22297579525307,35.836806596631654,31.3214813273686,32.522451314483526,28.845838150038855,30.872559882173828,30.620496045389153,33.0903869865662,32.14005646264231,28.50716174354116,27.195965636815018,25.776846239979644,28.60452127440374,28.354983648890094,28.141101456942003,33.291861621098256,34.48361723576317,37.25704786629994,40.41930567640642,42.82146339647885,45.933790511052976,49.2149393693701,49.74986653514808,47.676305428974,45.96648626515993,41.595969288734466,43.29391391687796,39.73595715420019,37.52386122273506,37.623126802661126,38.88301828536191,41.271525261863516,37.93082521345721,36.81481990959241,38.311106804084154,34.643753786546796,33.81124886056151,31.888188613085177,32.911284564373844,29.507774867298238,31.64418803124526,27.402354839113773,30.45786628712895,26.711095061324567,24.891259015791533,27.981173810655587,27.56783157284271,31.667830744108322,31.053064114631006,35.788747923636976,37.49866291629805,36.86329287193794,38.86146338605236,41.465465625040544,45.174172188973806,45.05662833369619,48.58245698391254,51.35021040160589,50.39631206935163,46.424253994145275,46.03632285823292,42.38447380228089,43.544756978748495,42.718052764327304,41.11418244267644,40.49924073123907,36.399535235047836,40.7698611021065,42.70468772032484,44.64947196360244,46.08468600058395,43.5436816464015,49.15528917173569,52.173776511455486,49.54430477369296,49.88202078201246,46.89831665803345,52.30237274540178,51.49866093751313,54.22474053549699,56.08703933346199,52.952377587470046,54.37143514963781,53.04419922870491,53.86389272674663,55.24922369192345,51.13873437272146,52.16888973307342,50.55664624032543,47.408321701328845,50.419494166178104,46.950396158255586,44.122360205657884,47.25352313259963,48.279704034364144,43.47108244263118,43.65300219966943,47.01176112048208,45.74655259613307,41.28678933833354,43.7249837901893,45.30729778422081,40.92775066386756,40.141231802643325,44.705235159987204,46.058751410568966,49.30775319176116,52.40293247768709,51.46254394583155,53.314560735152995,58.12750383733195,60.12507383254752,62.7961609156399,62.26956674607996,60.40750653753957,61.65963940492174,58.24388573226407,62.884264900445785,63.30971228713952,57.49992416289246,59.014172311353256,63.780788976089696,60.94970355908969,58.03225713283839,60.72017699344054,62.97074666071214,59.32190645454582,57.06482112957631,53.78174972342174,52.9132671754951,55.32745733210935,53.818079672442785,53.53014676833019,54.931788342682886,50.87565289659564,49.63579660927591,51.12985775566179,48.79560463959914,45.09153517466357,46.49277839055265,46.235228019149716,43.14152531682265,43.01174069146446,47.47368668525567,45.742168599844824,41.831047409011894,45.97512078716987,49.50046727776602,50.309462753182835,52.671372877067675,51.69821896832734,56.1408780456951,55.643357157866404,51.065038121234906,54.536243184660684,57.25608337677444,54.72982186682499,53.62905275605701,59.55184285987413,59.553700825122725,54.93577025166399,56.938067074595764,61.884926604361624,60.8376356920421,57.27843885366509,52.88125577837891,57.387108965896054,53.59911927228241,53.33178659252762,48.23442040800686,46.831469674744355,41.995192333943194,43.51654562973881,45.32644604104187,48.9703226805122,48.8578631217302,48.71346908558193,43.693186712483296,44.94836456622229,39.94590036494523,38.8944392070366,39.6822454908695,40.9245913755574,37.895739749339775,35.12628274746085,37.23163277333422,35.14753407051711,30.99141691575096,33.107963777518556,35.78420484033959,34.091628518768275,33.95751255871307,34.2717505931664,35.07408117434612],[30.59508288402156,31.232983705417787,32.474326313050526,29.55305686303711,31.195885075738452,25.497643096028142,24.019710275231496,23.150085655219634,18.538523221591515,18.307207666812022,15.601101581904492,16.986132438276805,20.329906038377384,17.185994931054665,17.605299104501867,20.85998191176671,22.837712068720727,24.769509174002497,27.884393044607393,31.12667776851859,33.92436600288883,38.28524193317322,39.16140977024782,40.040168439995,37.731821205834535,33.45006942903331,32.91826706552914,29.020180465417674,27.288295416552995,26.072031667364705,23.395389521100036,25.157276282115497,25.379976462519497,28.64630574267294,29.41644639620865,29.248458947436184,30.38761130785001,33.01047112577901,34.96798866948343,41.05263422029428,39.12183523345112,37.28474596771637,41.259528189365874,42.91675049703159,44.95338283953819,46.10322222051165,49.75713051170872,47.61070361978313,45.561680114358424,50.65749194487643,50.91437903941813,50.18976342897377,50.758448886723244,45.498787176700795,48.27611044181253,50.262634693351174,46.444760402118234,43.74850795029124,47.913591785603614,48.754091184840675,43.67226728191339,42.115017545944056,38.68905858388457,40.48647707696531,40.29169304403536,36.74996831606186,32.69917881681221,28.945756420286777,26.168904486303653,22.038115968286814,21.839694594934546,21.763988066803808,22.90690276623292,27.880327836642085,26.876583967021993,31.612572416383298,33.5907602421289,34.93379049894246,36.34410535766716,39.28716986939774,38.73232186349526,41.10010067213865,38.890473043739064,42.104752811659864,39.9870677840005,36.398274811702855,36.31729832489449,35.014660254491496,33.12542021656354,32.92287302016243,29.388429525644263,29.496530644867406,25.67977718847583,23.77225696090768,20.619614442346723,17.902907715159834,15.57140713541354,20.31531403834872,20.089296735225098,22.235863826720923,25.745834072988977,28.81912495310665,30.87789897407146,32.88049671429381,38.26324783324214,35.92387420825978,39.80911804762529,41.42627757320707,38.77441589317146,35.66731689197222,32.621136137143445,31.155885309367406,26.61703409367434,27.786195825400625,24.18333150404807,26.276619728160632,26.22192088619153,28.798764307193323,28.293079605053887,24.505829322315204,23.086215153772866,21.384150065458666,24.152845083014117,23.71475814121692,23.40513850645661,28.549214731114166,29.790685106939073,32.51655225035537,35.708767929420326,38.14862303947748,41.20834247999405,44.529388784654124,45.03042119876751,43.03593706864049,41.241018963154715,36.86162812431184,38.546135545606795,35.01152216614015,32.868838790355525,33.007651624887224,34.4792847920034,36.99584496577049,33.6891366434763,32.39119348328114,33.963064021982994,30.294022738138867,29.30022876245079,27.3423355255753,28.31713290495906,24.896822418443328,27.166654704206824,23.101270080031433,26.52709859689202,23.18600147740011,21.281201282620877,24.123457951188605,23.38782534061763,27.40284788998751,26.754589465173098,31.2997875233662,32.89897596214397,32.45965741305716,34.33241405975498,37.065222583411575,40.64347521926084,40.480426918368394,43.93316746451367,46.72931157303503,45.70737954170518,41.75252743271963,41.32401642536464,37.69588997441685,38.92113822189661,38.169136793116465,36.69287427406096,36.18281152701494,32.19468412511518,36.7528325679148,38.50930358044112,40.39249592881521,41.643559222973394,39.005278486286656,44.593709586800536,47.59976374965861,44.95196896029189,45.453987633129344,42.58854889871897,47.98766715236591,47.16466285110571,49.77668516994739,51.54866835162223,48.37508565579544,49.7007591684166,48.329227981141706,49.13328085793259,50.50754774217656,46.3971062823574,47.46757332119597,45.90542899422689,42.79753174039846,45.917071298495244,42.5286545311755,39.61118571995601,42.79336731324954,43.967133071152475,39.18440870064053,39.293500693931826,42.788507121191905,41.71626482890963,37.21395425946465,39.7109470158406,41.475926365066414,37.17763329763966,36.33780255755564,41.01897967867664,42.17153910253368,45.607712055190014,48.40083350848103,47.388416049857554,49.38363984825111,54.096638452201404,56.290438146713,58.75843145004664,58.22405242413372,56.23094750689911,57.45247119947817,53.96807564179454,58.53983490310235,58.97639163283772,53.09319148523063,54.553419695851964,59.282418264697924,56.4413392657941,53.46683948486946,56.10616095823706,58.36261548908034,54.72992972232649,52.377932130788395,49.179324184307035,48.311005605519526,50.80145566689178,49.43118122502394,49.22231570879996,50.821829607654095,46.726979132260034,45.327994400347556,47.04729098790283,44.85217004972335,40.97102524460878,42.38229977521462,42.40272243776162,39.373832689032554,39.09331421451386,43.70918063518468,42.2116279671199,38.27794834959718,42.32862018674655,45.9323527344958,46.5266805868127,48.80671937765571,47.65407993760139,52.06291176204281,51.6775438419722,46.94718517325007,50.29372563024371,53.069566713510916,50.5613365517898,49.26692052392477,55.204789818314076,55.29450623759627,50.60302818163486,52.463917426768546,57.47373129508187,56.51045734336703,52.923927733372714,48.568974794045815,53.135361554715715,49.42857277796575,49.28857181248127,44.138016290225536,42.63881676656092,37.83669644507287,39.367519302144345,41.01685865983188,44.63171537423284,44.383296208668575,44.23070366517612,39.12197355486958,40.31274029970482,35.2793826231612,34.38537519391885,35.24727859382762,36.66560669603058,33.693401517009654,30.73066938919984,33.01847532375533,31.159966159598383,26.726637987849962,28.964188587641477,31.91530140067811,30.518929571251533,30.517981504325803,30.923019978962035,31.869514841271886],[33.34389535933968,33.74487094249807,34.53863316269413,31.69375025276666,32.688061439373065,27.101813988666063,25.11467706235482,23.848563881176013,19.323560710654448,18.462593330149527,15.256897481313182,16.313548211508078,19.461200739529964,16.55518496583316,15.871524788135135,19.062800647332697,21.453453235313976,22.800121598848982,25.96736499795612,29.08618886458726,31.769644076611026,36.05437482797763,37.014591576160456,38.192513098982204,36.004506306234674,31.820167649178657,31.405468547163753,27.65908894794592,25.565210094299164,24.32144821692354,20.808614671724666,22.97529021966513,22.70750864439672,25.66973616732946,26.82910831975834,26.86955929269247,28.335179964885263,31.087372903786864,33.33770702209837,39.295850725267826,37.61890068639565,35.390313811079544,39.17948047384747,41.12593093035943,43.21322797413141,44.67104860373278,48.179061654117675,45.842853775057954,44.16029419393589,49.28131748718142,49.224085357624624,48.50379667523647,48.79855475509747,43.63017898374758,46.07413156152541,47.96365884365878,44.243965425719914,41.31289706643081,45.307342272568974,46.30937958973159,41.140747977797766,39.2644606077955,35.71153453174972,37.556518967036325,37.641242699671366,34.16516629056307,30.166357068981863,26.377773286366143,23.86957060446059,19.62316434385761,19.725840652338086,19.425135589131628,20.091380783952083,25.065726070232415,23.926741673516652,28.319104675613858,30.603936705386207,31.718524247695186,33.40180731977665,36.55253161675243,36.227261676239046,38.92257992953013,36.906580418168254,40.37718833459885,38.42280976909628,34.58783604757239,34.15506763746324,32.65795375063191,30.558111637007777,29.941897121151438,26.341257078480393,26.098214885665726,22.34459306526251,20.576538127436027,17.85415777804444,14.819332836965925,13.13862566591432,18.006216296776476,18.426994835516684,20.99808929254491,24.04836245075854,27.79243926430216,29.440116305290086,32.081207536855956,37.432039241859044,35.61470265391769,39.6776576649316,41.494737557919365,39.21004852002975,35.88476413561691,33.20406154633582,31.304964967798437,26.930513534187234,27.910945712747267,23.960637150142514,26.13244893768287,25.507342636453895,28.254713399620368,27.05117643966337,23.153990239353334,22.237495688511075,20.92642146256225,24.291519506277204,24.09517138952445,24.10654207193165,29.120044679664012,30.770324978903535,33.02590700343294,36.187744931925394,38.179261638233605,41.62183539213812,44.74621484588544,45.05817532650819,42.765345754281725,41.22305780433764,36.91678640661517,39.12128706451428,35.3880611430784,33.24019226237122,32.92251378119489,34.33915224379469,36.38661505831299,32.80041988153522,31.694250757373506,32.910415238693304,29.12319299073161,28.535907396323125,26.59673264169556,27.83515125014865,24.7437779989845,27.208319837629162,23.2209198369931,26.412717609315376,23.507585848984156,20.91192792488398,23.420805428579918,22.598945700978494,26.83691680261799,25.736514220410122,30.73541712959049,32.326113525185505,31.324848669294404,33.599466647800035,35.934922038136634,39.89090852255859,40.11723378774488,43.64303629561195,46.558616488035554,45.84285411316225,41.90932612871917,41.384224715269305,37.60120291780544,38.3899399994212,37.38983915717103,35.62007619935926,35.030765040955394,30.798059199397674,35.1648911870771,37.025520595127205,39.0955811758501,40.593443891303586,38.35515104988623,43.91487206694693,46.89488193066673,44.28211743320751,44.35108642920523,41.27656877924561,46.70612117652889,46.12300468474352,48.84048780763791,50.85671298290485,47.70840488814378,49.355228372763364,48.19878610788708,49.144467738225856,50.78043574904617,46.89145631356837,48.03921779963534,46.8119490509928,43.57372331637985,46.91914121215469,43.465457901229684,40.62619459260383,44.141560549498145,45.33592057425266,40.631270511436576,41.021493139756984,44.57066818866309,43.42824104635281,39.19264606475896,41.86962199592298,43.67611524563043,39.407379350932196,38.780888483570095,43.56051543549973,44.58297557876454,48.009164240849984,50.69201933973595,49.46523824514429,51.48768838598294,56.029478465551755,58.30388303689006,60.55420155323143,59.78989450407745,57.614686749926285,58.59547468622675,54.898508961879024,59.39947297052393,60.11515246630143,54.23137834917019,55.39561294681476,60.21038493138599,57.58114985006107,54.432312201933556,56.834109419713826,59.401390678271866,55.9124198569666,53.158700462838894,50.21546672890043,48.90032981430739,51.420695178653595,50.25089158621295,49.77734068742504,51.448338707185506,47.14118885241401,45.99515212664796,47.98750743996794,45.59247214147286,41.75310109711282,43.55520573196524,43.643172393714764,40.66594143516068,40.641702971238026,45.29922573620865,43.86901998937246,40.170279390159806,44.31092995697365,47.849957069837565,48.39686116523992,50.41835852915441,49.01462238618867,53.40627697635418,53.361127490956406,48.62019773060583,51.684015187133056,54.689594696314025,52.337328264301426,50.78981102407015,56.6828473805403,57.08527073351566,52.37741043182099,53.92959279822688,59.05182033209316,58.342463014255394,54.76430564065386,50.52542591006943,55.20277133456197,51.64314701292797,51.63087608679706,46.454972214637806,44.757059703943014,40.027074274734254,41.651343018612195,43.046843239226746,46.60223550416857,46.08287364601732,45.8153394634638,40.51518672196103,41.336097212208195,36.28713336494642,35.70290652328361,36.144977830684255,37.72243777640961,34.46563187155229,31.820425282968408,34.54586754784424,32.649259836095794,28.101675857255735,30.913629369443466,33.9130273656027,32.52355337157218,32.48495627567897,32.832668983398435,33.808670211490984],[30.18660524203468,30.269216601730964,30.697157615044297,27.847655445853057,28.499416884133797,23.037094419855112,20.84723278208012,19.65308212649941,15.084046225073976,14.082129145117774,10.940851841485724,12.352822320474804,15.335586360677883,12.407867972049313,12.31875426269456,15.546775635419541,17.729377580517905,19.666185931891743,23.144269463336403,26.108683732201747,29.11463455116388,33.355102019802644,34.456798832601166,35.449867874680535,32.975334748774245,28.78753037645816,28.017347283888576,24.077476346524502,22.093300883227933,20.771951488161847,18.188599133692897,19.90663375183956,20.36559249756505,23.661664115578414,24.186967289528223,23.966686436659696,25.0689411334998,27.740214730374884,29.78235446828347,35.79961423812195,34.067618265377966,32.209910366984246,36.1276926937699,37.881849957244114,40.09237965136801,41.35529275464306,44.94855296153379,42.60907277953956,40.615156974890795,45.69400434872106,45.78491941765982,44.99615430723153,45.510092179644296,40.24948383495923,42.96481976159732,45.02276524163635,41.261902939034904,38.50909710097381,42.71701419490719,43.65442838752443,38.62566935790859,37.164465270274135,33.771328025068485,35.78587286154555,35.444552613391444,31.736197195669632,27.98958165958902,24.05023899036449,21.63343398515308,17.365168740167427,17.57397973511233,18.118752515392664,18.71585791904532,23.616364500374843,22.153995643515163,27.126974252215952,28.68455842179612,30.10345068942341,31.27041638451385,34.10536634802316,33.447771516883385,35.772075584460616,33.59458382695243,36.8253938791323,34.74178121489393,31.093764642956128,31.01217201123869,29.70953274293539,27.902079340881574,27.872055236152423,24.423776580920176,24.956160027596226,21.053331453371076,19.02138321046638,15.525712325532629,13.161390310643585,10.39131977636787,15.302097505889728,15.198233133025827,18.071786879895807,20.847947259744977,24.29080217203637,25.879101446299668,28.228572275755045,33.48206331867312,31.463193282849705,35.56212519840124,37.24755751312609,34.92991538066906,31.684600093048683,28.928780705264447,26.961606233218987,22.56695143774094,23.547726898236004,19.69303967409974,22.000361921061625,21.6259749055902,24.545557220552563,23.9126868096266,19.796613997541947,18.776791820099213,17.079838359655305,20.401955501541813,19.93524887805052,19.798032490663086,24.781996759515646,26.442103507974654,28.640902550371116,31.81924467390369,33.85276736730939,37.244349420694526,40.40278170382326,40.70889523150607,38.493082837960394,36.87865103050599,32.564595409181884,34.75667822361566,31.079861608703748,29.04356057445521,28.772740289800364,30.48393246818992,32.69053339717221,29.140311296017323,27.78959921937223,29.085178752899054,25.26223312211789,24.474600226503757,22.440764267794695,23.5950509054403,20.461042873215185,23.061428371271482,19.279621073951514,22.868368085717062,20.455346065232124,17.795022774149267,19.98520193975619,18.79130716571363,22.927297515068155,21.815168420988936,26.599117315551446,28.111257148269463,27.364632549160685,29.530793616337455,32.01714613089046,35.83442402524385,36.02094294156651,39.44268836281775,42.4061351567406,41.59021634737055,37.68100188386069,37.09210445011337,33.339138818899535,34.19224816585399,33.26189316314344,31.629047387074213,31.131810970505878,27.03220778212058,31.61383686183083,33.30114648009781,35.28135827315306,36.59623326005992,34.201174692106996,39.75828224323102,42.7437018522413,40.12068572720312,40.40903381299628,37.485958018937175,42.92385262643015,42.33611500696985,44.90234770184651,46.80791500511435,43.597021103219404,45.1193888551722,43.892164309778906,44.80072807601491,46.40548911565014,42.50737229003987,43.672597956012915,42.48181500020628,39.27786806432478,42.71038240592687,39.33626875180855,36.423503898501714,39.98204367281946,41.30270318437691,36.64310758947904,36.981923747791626,40.633426734560814,39.669412428434626,35.43345973198552,38.15683913042247,40.116379607589536,35.95839720552368,35.3057301260544,40.15537366941606,40.986066420635744,44.54764094809655,46.95140258411589,45.65102377664348,47.78963935892603,52.21942234062433,54.662547724152894,56.7213995062666,55.95314421706148,53.6686318985899,54.624714974440586,50.87960310322071,55.31332527921655,56.02933320427077,50.09141552636876,51.211899202588434,55.987299471489266,53.349711323883454,50.15919276997256,52.52413914667645,55.09031489958177,51.62137278979064,48.79823394454254,45.919947260302564,44.60889893992703,47.19103764237659,46.14149380993461,45.75052982209254,47.60176582625721,43.27675403994884,41.97156733892945,44.164097799889255,41.917223043290704,37.91808718961828,39.7171426711453,40.07075878706478,37.17313718102631,37.00293025873472,41.77916858818966,40.58052641229841,36.8888750618226,40.90995786850964,44.49935925203433,44.84298468420437,46.778837103430334,45.21577810640906,49.561418982379955,49.616331608754905,44.75552736897145,47.69404946053212,50.742122941053154,48.416315910702124,46.69975544853917,52.58998697245289,53.07371058571078,48.31996828151712,49.740227505163666,54.905799555234935,54.278536365442015,50.69314080969202,46.51315173239767,51.23972300053219,47.7806458661851,47.86709518766873,42.676480801903416,40.87623315737418,36.211631381720494,37.86271153396136,39.087742893482385,42.60310052265574,41.94852786459195,41.65046464230613,36.284286578044,37.029097507033356,31.96712994814305,31.53128545696045,32.025104336143265,33.767119087534965,30.581094922493048,27.763962333818576,30.665655708126838,29.005226057462632,24.220811300085753,27.16349926391817,30.39451736328774,29.308902805521516,29.400400889195378,29.830594876065195,30.94817780003808],[30.905739953272683,31.135421591434074,32.101061943391095,28.480501494349692,29.988308041425856,25.027197741936604,23.25233094334368,23.142672027237744,18.33494777076469,17.152227310512256,14.85711221404658,17.358448243240517,19.37546116695596,15.38265080577865,16.435556664322466,19.876739612117383,20.90210618743108,22.645064056122866,25.036343052784957,28.70954976449912,31.184537970473713,35.719351316199244,36.227863259292796,36.837344592350334,34.722230338289506,30.34202710820621,30.205040828340685,26.50662000161754,25.37689072900639,24.907716919810934,22.388888940942945,24.895117391128785,25.6371379436625,28.476258906588274,28.855228301889245,27.98631969257121,29.57444807325513,31.309194237417458,32.983640065052256,39.27662123833342,36.72569956240127,34.87121962808629,38.99160787847194,40.363926939041235,42.05526725847979,43.04304304431141,46.75730089770454,44.960338527883906,42.90405001351998,48.03929552186725,48.60176300066827,48.134446831774554,48.82396955946936,43.61423511497406,46.76635407565204,48.40363916105952,44.34803067818539,42.07510873031888,46.26747209227823,46.59879503857571,41.52215750948949,40.24948713648653,37.071659812930584,38.36795839201982,37.96357910762488,34.67538494199123,30.165324847008925,26.78063102116189,23.37103669955158,19.627758668645544,18.8035234676615,18.59682120663222,20.525397244511645,25.39408142967212,25.098457039350137,30.183348426164393,32.06260008756496,33.99050166898591,35.26075512722583,37.99328718824625,37.80290000227722,39.88682497339522,38.18680498106052,41.071534761756865,38.54675813266266,35.19832949415462,34.82787006516287,34.20036892137524,31.753690830227367,32.30379755944723,28.44814383687151,28.70859067906197,25.114852513994997,23.72044425175989,20.328708026157848,18.072979614770436,15.354482959532522,20.82366047524644,20.792716179835637,23.88187207998562,26.372305568180575,29.660538194649153,30.991235170203428,33.09534128972232,38.05512529445429,35.63940182897033,39.76305613231312,40.99331583487352,38.34236856316892,35.538012998707465,32.24606753887196,30.31541336169188,25.743786556751836,26.176820918638583,22.24310727238012,23.713189787188362,23.512024512656186,25.570555707080075,24.91507818451468,21.62621807740077,19.82792364317345,18.46588386741362,20.98084352678865,21.119484382891375,21.492590019927214,26.617910383606958,28.7114513792599,31.2378176056589,34.69563395378411,37.23057543773021,40.018942462999284,43.58789525248449,43.667601156590514,42.01536692101787,39.67639074474943,35.19929235783771,36.715208282854235,32.80923124211084,30.255966552620148,30.392463415220032,31.21227602349966,33.721385379920505,30.62691181826681,29.647043253491667,31.492935013672525,28.23491337557141,27.183311257262606,25.873928143305477,27.331253639832887,24.314315807396845,27.24762603439558,23.807908248620276,27.883508264560252,25.340900815666604,23.20469035008864,25.396536933455938,23.87154295572092,27.768588847133383,26.50283061779106,30.822447776356192,31.58299283041908,30.96074271355058,32.16031398402895,35.153997191823606,38.443766279844255,37.874337035335735,41.62727962823865,44.117719870836616,43.271330892312,39.22391074856063,39.127420296317396,35.48936613640861,37.06009236616135,36.67024649171749,35.49082800982077,35.52178685617551,31.535278715871552,36.476320282221074,37.59761910127283,39.68020265339022,40.322664181286946,38.08109737649623,43.41488009261453,46.18790473092855,43.29995137811571,43.602525100758065,40.56788474270779,45.82056783410894,44.4992830125335,47.41064177222284,49.1715145139135,46.25337909123724,47.69434207512032,46.502347684732996,47.53725144698918,49.03684420964802,44.94561498454095,46.39841211339548,44.97294376582378,42.203046439187744,45.61543742779588,42.566191627403164,39.34063392323939,42.39510399211515,44.042813593528805,39.33442831707248,38.82924608817781,42.70044095050937,42.257264383348506,37.40719606364389,39.73407118250152,41.90557922857894,37.832201783766685,36.504750800223604,41.196015233392934,42.00083420744014,45.958282803377564,47.99961345491473,47.24065570659389,49.59395275048722,54.23741372987541,56.78121890553576,59.01396616481631,58.6964073219011,56.54912786543395,57.84136847388409,54.30987307335123,58.701334643999466,59.02837981592091,52.96764005626631,54.407466383931244,58.93532762022382,55.91988344898446,52.87004817713356,55.41040643409341,57.44087487761648,53.74361551947728,51.24281890514126,48.37473850897302,47.77110334877099,50.53291033390608,49.55297301694011,49.60782941891304,51.629797543336686,47.499481245345535,45.7280846766373,47.87230080725209,46.01057171524002,41.81714178369307,43.10568320140547,43.635362520609775,40.73166679221791,40.04155234719467,44.85963626923045,43.723825883884224,39.639218685064236,43.39368247327381,47.148902029407736,47.388926472369214,49.702123371796176,48.36490571975325,52.671547981484764,52.27848724898393,47.24443060286254,50.484651054030685,53.17425203819497,50.55694226603467,48.95916612915472,54.94816262957848,54.91011399457797,49.98614494595267,51.713402566684934,56.787584415857516,55.70155378199216,51.95883554740846,47.54513319137307,51.9309868903572,48.10892970231402,48.43942350527184,43.14540189752828,41.95917060668953,37.23387970011368,38.232819782920465,39.79027878423341,43.227973649124266,42.99795781149068,43.28717909137892,38.0980929708476,39.429861106791236,34.273183888959515,33.94908079152653,35.35114100283919,37.17012768632409,34.45693270670402,30.950160924737013,33.41290212302648,32.14619931341966,27.24875405422415,29.197189762077237,32.70773047195832,31.895734540825313,32.12793804557694,32.63042642854543,33.67269013253528],[29.524664332346575,29.392306112172772,30.078733689560334,26.043534195280056,27.405080449158646,23.03562108223701,21.1213427309209,21.634949166983947,16.850295175316468,15.15989187746829,13.495928263898701,16.773480311173316,17.79528733912968,13.33684329561674,15.333125833130225,18.72556055409283,18.89370476745868,20.8592905752156,22.862216114203562,26.69145201345764,29.112295364882897,33.69059885553943,34.03336134338167,34.330587527718116,32.17959813783143,27.760023948064084,27.672874623575982,24.030408621491272,23.445833314704497,23.4287156124208,21.644678204637717,24.236212010271327,25.614531238273983,28.340097500759896,28.17203661145215,26.775034063445027,28.370077955334814,29.486866010442117,30.811570795596506,37.20728180292585,34.23814753854452,32.64608259086805,36.907373022706146,37.95513789482799,39.48361796083838,40.217817486990086,44.019029354325035,42.46579280204414,40.19793288357622,45.30473618475935,46.168519580521675,45.81779143969045,46.722744603360574,41.51687613045995,45.04527195742907,46.57013113848881,42.37021133956694,40.48074884537818,44.78305821296421,44.771499015128754,39.818178704034565,38.96473067159097,36.050440241768804,37.13100202486067,36.364785714467985,33.1354762149349,28.533068351739686,25.360590848519678,21.63378683640885,18.262091848664447,17.049476145652974,17.24574359221006,19.637225975936047,24.27801489872034,24.263790147685445,29.753685071915122,31.169043655963286,33.55546742555955,34.46010782100273,36.86585348650432,36.69111687904463,38.36893783184757,36.871384538147765,39.38256665671429,36.560718796690026,33.52522280414958,33.215699834927456,33.103908871676694,30.54934612598591,31.831365663740332,27.951631673383623,28.67650105163828,25.20338365051958,23.98165944392083,20.21958460926697,18.6078186398096,15.371022951295986,20.907409688245245,20.677529147370688,24.181727147292623,26.025329472884646,29.10705463879472,30.04968966318029,31.930171090953216,36.534359041278954,33.92141620056347,38.11434473411752,39.012901823169315,36.307663839418616,33.79264758605867,30.29637429865539,28.165007306158373,23.616494073735584,23.594398646484755,19.645673836273364,20.68717736718955,20.653959155986648,22.36591168813854,22.079044273552206,19.107814724137558,16.88935659365688,15.50504456052921,17.589659926905956,17.95764481528254,18.672976161030107,23.71886329331428,26.269121652615137,28.70208474507833,32.298631263624536,34.97134806633339,37.4719802584742,41.21470224437753,41.074892682486585,39.72980787511435,37.001823636623186,32.4848508011492,33.77300153856923,29.724327266459678,26.97316602392792,27.233069058906644,27.776376168136668,30.451801286545074,27.594217595262403,26.667102046110305,28.78865785723796,25.84934753239591,24.591864975648203,23.688727112860267,25.327357642610274,22.554207239196067,25.839567847630402,22.947357176348756,27.47681969808513,25.553212276438572,23.456952839993644,25.163934443271938,23.114748374483483,26.738398202225156,25.22537680673764,29.125827511503275,29.32279161447305,28.829604381730903,29.453344349395678,32.72947181246581,35.67020379565729,34.75581365899541,38.609193877011705,40.902345474874814,40.05929555918997,35.980142098538714,36.077967578737024,32.5029865654225,34.39582994621288,34.312799870562706,33.44690582141437,33.85469510634718,30.040361456775223,35.24852667946478,35.89518071856208,37.993056117543624,38.14551259035592,36.016934919748586,41.15322975037387,43.776494054454325,40.75580568711235,41.121898027816705,38.121187658836895,43.24941790943443,41.593982725808026,44.57488837023644,46.222893392247315,43.4348017849796,44.81770273359499,43.664998745602766,44.788035699234435,46.29303676902943,42.19032445231626,43.85666925684316,42.47920222701687,39.966959755158626,43.52780693404004,40.74646522660318,37.3222332836383,40.238258646130255,42.20559113175579,37.58749482561101,36.65217824440989,40.75566218531559,40.772429427539485,35.72184281061459,37.92206709455505,40.37682272488384,36.51360443282884,34.87246991961932,39.55070327828793,40.076140380052905,44.37471173286762,45.85904455853077,45.24608270706468,47.841652186052706,52.39687916941935,55.191043279583965,57.22741817615447,57.062898139929835,54.814382422566304,56.16458847903789,52.63473515481699,56.8838943575322,57.106009112122685,50.94831051131981,52.39594463482998,56.757130401585535,53.619003050484025,50.54749546879499,53.04102718277274,54.884906783252404,51.14902141810729,48.60519308327105,45.93100699366076,45.56251294641227,48.487825604751244,47.758381363519774,48.04223303261213,50.35451761511336,46.261210417949805,44.18299441847292,46.59525665638274,45.03030909708254,40.6243934189088,41.766836326402746,42.68433790659963,39.90473674750174,38.88815470289092,43.82321828516289,42.98965854575749,38.828445329242456,42.31745868866517,46.16074189961361,46.11689205797932,48.43246537517365,46.96658418740816,51.17111338173982,50.77107792387839,45.5417834178297,48.688132224093465,51.29933457887319,48.62197062387074,46.818474121412635,52.81450712366041,52.69529350713151,47.638560069834114,49.26645525841578,54.36149097795458,53.211226782723145,49.38558945786939,44.96399216721538,49.23702854489933,45.386199080821335,46.02007507264806,40.65877672475688,39.64493773149911,35.0165240939705,35.68511195629258,37.13549379706481,40.44159386594862,40.201709441842354,40.7584669118272,35.555698942205616,36.99373632102912,31.804897849600554,31.846152792294703,33.65718804769524,35.73427737550668,33.28793059553655,29.382304747495308,31.913006886525096,31.122520053013965,25.958428909815254,27.648699307789542,31.53511864399829,31.207759837668164,31.637268767181826,32.24348189782365,33.37845925950229],[32.763726429508175,32.312512098944936,32.790402922602915,28.125615477170925,29.357095630387274,26.080717308920093,24.011520357107575,25.247487180121933,20.673280724876,18.16001884849486,17.072972241466246,20.868730940802543,20.51849247781437,15.65705965852899,17.79924774505743,21.02772970939818,20.091271865542815,21.349628639932643,21.98152633189183,26.316421489512912,28.001323406325668,32.69625519591018,32.416304532619094,32.378962741979116,30.72550465035434,26.312913505807586,27.00797560900162,23.946181969994274,24.19504796546898,25.179623622035137,23.314468251742404,26.784620914193688,28.371064394572453,30.37504595327213,30.01126054671494,27.931843579838976,30.16569976210449,30.146123089871676,31.135533844254084,37.579575247318644,33.87212740545389,32.12844614906526,36.40965719878936,37.11871928088973,38.05688854602884,38.63524447228426,42.412394220705096,41.38953431046764,39.30874325196987,44.39706729621451,45.60006957105135,45.6379457706991,46.58552953453138,41.5884300941129,45.4170453406488,46.375861076791416,41.95134036770091,40.59197705930083,44.74596183104417,44.077965592294724,39.17125252376006,38.543940931098305,35.97395373628231,36.26669126533412,35.41153402655355,32.73914996867921,27.542206096271922,25.136117118104593,20.663363797535773,18.216726626121186,16.09278426234054,15.677381278932573,19.140724604069828,23.276749892048564,24.421186664191367,29.85245244998119,31.372321365330638,34.30234995530262,35.21156456086134,37.40783141199639,37.84574165408048,39.28561304380349,38.5359821266322,40.68583721204891,37.47958543997285,34.75369879510555,33.921145220553434,34.580323734343544,31.290831714641982,33.22327156472171,29.050697808159175,29.626623276219814,26.6636446937114,26.197372157164722,22.703308389146773,21.470486264017634,18.52692810257487,24.303304518028092,24.484789342996997,28.610489102544157,29.50287222989912,32.8475483248866,32.99184033667339,35.073870782022695,39.11187467220369,36.5944815106024,40.94469207299823,41.435593015135645,38.83563480581134,36.699194825043286,33.09628875692883,30.507469963335758,26.182791906802276,25.23458716228985,21.079856501892756,21.07993547660905,20.672329712167855,21.349163880180388,20.525461056329693,18.721435018287973,16.149052971673623,15.731089443922071,17.186740534800503,18.611546578924496,20.337579710853696,24.94307760005934,28.46820989172653,30.523375741951423,34.295013414740225,36.95047520600129,39.08358881751445,43.01741727394339,42.34314175607104,41.415077649743566,38.10737047893597,33.61230743899349,34.66553774374534,30.225229820561285,26.95401661904928,27.14958268084139,26.51245015337437,28.983317984627586,26.541860754616486,26.271552964455655,28.65107654486836,26.44672872731321,25.289939984096016,25.35094707906571,27.546525240528727,25.4488427167202,29.240553881042228,27.03945511143292,31.841488446328665,30.524604001355062,28.267501337955967,29.44252455408292,26.858497444370954,30.261103337442993,28.129262475157827,31.719060262241175,30.925792642262326,30.078667629574532,29.83803145706051,33.26405898627848,35.79718633325923,34.36613666685781,38.59449378019095,40.38642218040861,39.86934342578852,35.75087838051555,36.339247805115804,32.84205223292611,35.09506505489166,35.450386642586466,34.918903252475644,35.936381334510074,32.185078746717316,37.58079524237933,37.52393931333319,39.857554049124595,39.33608808867154,37.84748947554517,42.53754626340533,44.8050953239668,41.54147051658157,41.519904920802595,38.284612210631934,43.098044373323944,40.78750122948972,44.20741573406444,45.87014779422431,43.51236066506122,45.0941556831728,44.24501475662948,45.67284719347637,47.337070697999835,43.35544699057411,45.46998417795663,44.29217050343789,42.23122382829792,46.03558051096684,43.671938076458595,40.01025161258542,42.698576104942866,45.12269725449655,40.68160178084796,39.094667148777035,43.490838996954906,44.1432657922892,38.842177002857866,40.774518605393034,43.564328526417334,39.99824377955052,37.88389288224753,42.415115272265766,42.60357703526036,47.34966618914644,48.04116163197101,47.77053034888421,50.68817312094992,55.13425940472085,58.22734119847742,60.041728402907964,60.12754977281464,57.769582519342315,59.18749658282314,55.66147210464113,59.67291609433824,59.77271487511389,53.51087912471338,54.92088930255264,59.003750905803244,55.705748583636506,52.5998089629455,54.942176632065134,56.490202048205326,52.72423959954716,50.0517082064038,47.821662118092505,47.76188703892878,50.9372361943932,50.63575100109855,51.1725701222274,53.85513451459971,49.778639333279536,47.39665711090581,50.171668039493696,48.92356212399856,44.322906982729535,45.32938445546056,46.67186924283873,44.040723918137076,42.684804094009216,47.695393425097194,47.16359172732044,42.92549070962815,46.08793253674437,50.007350892038566,49.66160697883531,52.00642543171758,50.416227509523395,54.462430104294405,54.02813358426507,48.5879186128732,51.60155233313007,54.061598757005555,51.292009830467684,49.225287880665164,55.18403653315068,54.88612015000959,49.649248399596246,51.132159123483504,56.210689271858186,54.8959828318865,50.93985485746014,46.506423694388666,50.44684574163071,46.48094094389317,47.65953942728706,42.245761124993244,41.68828905737648,37.265070727127664,37.241826009360054,38.596813665225945,41.597229570769706,41.439877543820295,42.55381043055646,37.418373256913725,39.00196209999152,33.839157953957596,34.516474729844425,36.83475469961086,39.234092203829086,37.08326100733705,32.819420318476126,35.39903876279628,35.155238621752765,29.80819886100272,31.10021482966424,35.3294711869688,35.47749438412271,36.08016504610602,36.7304463892966,37.8643279486214],[29.381025743589472,29.590424797151126,31.012458210464473,26.6179993695841,29.05388854221147,25.013736808457963,23.877818554448215,25.087184298121716,20.445732236625616,19.3957137793878,18.388865814424236,21.737015311526427,22.803766528756157,18.288615323001803,20.89117052002379,24.221552711288755,23.946699740173482,26.023156275916257,27.481774845508628,31.532632141437038,33.68558459408096,38.31966878037937,38.32070481560416,38.26531367201895,36.305267060082855,31.878864998269272,32.042878956232975,28.563755699136593,28.508896351265598,28.74042175482968,27.28308679867871,29.839736131197686,31.333086957948268,34.06267892816036,33.816442398127386,32.23475876550839,33.79714628171435,34.57183542109436,35.583716755199035,42.0258532861793,38.62917877257416,37.285407893720425,41.63785295170917,42.34466963938277,43.55525091252379,43.95414763901844,47.83402317536175,46.69763407372698,44.227931200781725,49.2606453068136,50.528457478606576,50.329448611364164,51.45115775891041,46.283967095669745,50.11247225887939,51.49682047120562,47.171730685057476,45.60944076837465,49.925715005785165,49.585172832241156,44.70592756255291,44.04886494070025,41.288186873343484,42.02247114956109,41.16734285136023,38.165816392447766,33.30119646819316,30.468922207614742,26.368159695477594,23.403837335869504,21.74891856838685,21.570907410649042,24.559861689033212,29.026934446025123,29.540019844849887,34.98422901403836,36.49917500002179,39.058495919142146,39.95950712488551,42.259063402730696,42.159107165415925,43.611752410804975,42.17766254501829,44.425997165738224,41.40363411961852,38.650846706016964,38.42222650403963,38.58885895717426,35.95816939407233,37.47568435787826,33.53038605343447,34.15144627743687,30.784026569830264,29.677320720003312,25.95517006529869,24.2821995569249,21.08377686667393,26.542333453905307,26.074176511045717,29.191368599684488,31.400704239601023,34.03102011146507,35.23119906861403,36.62085227326238,41.124437742789304,38.055483549537136,42.03391503340344,42.61291866737074,39.52247678493517,37.39394501789777,33.489758367366164,31.817514743285784,27.238220631990895,27.18063688834338,23.69479236946797,24.25674624262945,24.72454676074084,25.786759478209312,25.960401973201787,23.63986612346743,20.93683522721862,19.58087141016779,20.581406659066623,21.03447802571472,21.65373817660786,26.57068310006505,28.83019311564079,31.740510338596934,35.36892113946325,38.5530776048024,40.43485382096304,44.446588810082865,44.37434610744908,43.518979578859565,40.34812569350877,35.810189360452426,36.30699042419323,32.44090810760011,29.529191306031258,30.372057371063416,30.45067098157141,33.548641846852696,31.241848385823285,30.407389823807698,32.94532847233705,30.415359586258102,28.840739068522808,28.21649640218873,29.69545305975013,26.79775695239827,29.874468778283784,27.04424167554321,31.661640804077482,29.286681154457906,27.859198674215662,29.87954736317569,27.978696531575512,31.343051713210752,30.17668543969343,33.57330969444284,33.55324676533264,33.50155646160904,33.469861211855374,37.1320277797247,39.52241946024841,37.979744277813175,41.85197902139117,43.762513097201044,42.676671831666866,38.59907141615856,39.02736697071879,35.727956902859034,38.23082966407419,38.545933175452504,38.05876253036852,38.66590255504013,35.09927657662075,40.41825546403771,40.857809935335446,42.83930816860572,42.610232111176344,40.288107334227135,45.281921493470335,47.80353932887531,44.69602848824547,45.363858550128754,42.50241052640352,47.44253352664211,45.306127072410604,48.33632394773636,49.71602160283213,47.095049902481925,48.178072419112716,46.89246889598988,47.94190766387496,49.1589780479839,44.84205943562915,46.54334718415765,44.78089680857771,42.617700041994446,45.897691870636464,43.34553962041655,39.795322988871206,42.123290731026216,44.16918613282234,39.537805237419775,37.97306565602662,42.038821990909575,42.34060700499094,36.86015065530066,38.63637087303639,41.09250090884218,37.31242227576256,35.16148575572319,39.54678016712753,40.191759941779395,44.62454803295261,46.028288900779316,45.92434803922879,48.55260638869893,53.33165778620194,56.04562631555479,58.37544725206457,58.63524225989678,56.651173036429626,58.35684363085133,55.1495050284112,59.413774819113335,59.214530644506084,53.074441846345835,54.916378742970366,59.05420834058059,55.585849642614,52.77598523753408,55.53587981896459,56.83368167125696,52.89854099992668,50.9086655270762,48.042189087454055,48.3893946058386,51.31759759882915,50.43211174206311,51.10820483327883,53.367058181976496,49.57534313960677,47.15965786082214,49.24894299578067,47.995737811070114,43.5716018229508,44.15770871670138,45.02535466133484,42.2274833706324,40.81760379218457,45.62919994420396,44.73576791433487,40.26963168888092,43.51105563165599,47.42034040859969,47.404793472409956,50.10681503250623,49.00902135575182,53.168908073693686,52.250692917967896,47.03789888724371,50.554033996771615,52.7531929039525,49.82254838218212,48.35601602176947,54.365271773227754,53.69399374260041,48.63307391121142,50.6949276177239,55.57631492717291,53.95755091486507,50.08562826758427,45.48200183357259,49.395454990794335,45.234305430324056,45.87201222090331,40.5583483281547,40.115250313876395,35.47785453531129,35.65748212782739,37.53241463701178,40.788817383098056,41.06462519609079,42.03614031396763,37.217355695303254,39.25119885539773,34.165291587559665,33.95573729810093,36.46801012779245,38.362894152430904,36.37586020060592,32.07315430214198,33.93569063477249,33.327457815654455,28.427811891624142,29.087316646366645,32.901309430551514,32.65684837441876,33.15318492018931,33.79507640263679,34.81058359274921],[28.8885978576218,28.662825333242758,29.911290451677736,24.85170065155543,27.45102655139003,24.736950852830333,23.802870153277365,26.065708583827277,21.858089176069395,20.4924976574792,20.53875436710455,24.45113855830888,24.326217839039398,19.672775968410953,23.208209810527727,26.24160911228891,24.81364986632904,27.007726876404263,27.61724204648576,31.77682936493089,33.6193382150816,38.18036176213923,37.785347360213095,37.140776876682814,35.311892226911986,31.006352613963905,31.390273463951157,28.265857817525383,29.16187502531732,30.069910208526213,29.582181346320603,32.179808905432026,34.34510036447031,36.84519863605316,35.97184474456144,33.73935866508516,35.288917698751966,35.10045291317476,35.493651536119444,41.89993419100241,37.82324391444344,36.95873707083727,41.407715771299294,41.50851078772555,42.29423390413164,42.177113291083714,46.12794449916776,45.563454103206574,42.7870928638855,47.64366274509737,49.49240553779717,49.543705830680636,51.020790527147696,45.98453422530031,50.362440401970964,51.48600549905371,46.98921324004271,46.10755098377138,50.47943454406849,49.53887670541407,44.94369342070814,44.91489774640713,42.61122093073195,42.89462333867742,41.56911054722217,38.83894194890183,33.886050416537074,31.59202284456617,27.14394438524557,24.989475147037794,22.822957645949856,22.94537797781084,26.494502500695567,30.398215653607977,31.447037315010842,37.15429733270061,38.13638214968753,41.254573278457165,41.712680235040814,43.52479008992042,43.512712572711216,44.34365557842295,43.26625039820731,44.883184351732645,41.45004919350681,39.29126195003312,39.13634137375188,40.069534906521206,37.30685399529243,39.74745873970481,35.83170556813145,36.90568909821076,33.80505612776936,32.97728530613839,29.02479042892776,28.018007927230514,24.50587894165698,29.815106394335203,29.138178901499842,32.52839916770841,34.02695509539109,36.24606656621605,36.987633000425106,37.93030784584576,41.80168214056157,38.40598205030953,42.306674840480376,42.28135969651166,39.05310505265594,37.54901865493483,33.33752432390249,31.608330888030057,27.286816590724918,26.536970499092423,23.4575098404118,23.089714885233978,23.969912277243907,24.07607843349349,24.95466296179244,23.59842595874359,20.349041199265177,19.19111782549139,18.83562735040251,19.716053366299118,20.804076451034007,25.143078193652936,27.88303748276984,30.708523603169805,34.42242471029211,37.90631270640513,39.05311397360522,43.34227028041875,42.94922724326706,42.7698094139791,38.91024546750782,34.44289666445076,34.219512988179254,30.329815871231997,27.12048783656879,28.39794631590902,27.7271369249872,31.152853584883548,29.585220546314694,28.956020014484405,31.966652583270964,30.199572479905,28.31002087130796,28.42967528340551,30.040942411668983,27.59953574151643,30.920045182226627,28.936318996048133,33.943947551770684,32.257044915255996,31.06847851187743,32.55145973912077,30.150224328503764,32.979596520432644,31.63654685796004,34.20075348607199,33.30292942699676,33.567461038118125,32.44297487759306,36.527052378079844,38.10716755380189,35.798105254060026,39.750847190777925,41.11547658491423,39.97226650796546,35.94310147976012,36.842678706870636,33.867802817279575,37.04295066447144,37.96380280915097,38.076009722741475,39.26362501072066,36.106161802836816,41.655724936865475,41.375205732313205,43.30496147882033,42.25284135981911,40.11340514457599,44.63622621835656,46.835856430029054,43.55683157435528,44.389765919067656,41.679031901318815,46.23930878188063,43.43386395586933,46.55580133354171,47.63679441621075,45.353713341081715,46.22108019163181,44.983279348123084,46.13219729058563,47.227371422172816,42.89137784636743,44.91939247498684,43.11578121967659,41.547313117842315,44.87527704356122,42.87238247672723,39.06096566242385,40.88000194231489,43.40708451319124,39.016520275097655,36.56271378715252,40.88040282405242,41.99571727754014,36.177551087937545,37.526840224933316,40.366491887042166,37.038124478394344,34.24941310400214,38.36585947827318,38.596998423798695,43.543300439725144,43.9911563810223,44.35103156884143,47.33167714676915,51.9937063709929,55.030141268237905,57.146535330972746,57.80359601471445,55.79076851520999,57.69749584155772,54.6534645099509,58.65475156673986,58.140384551397666,51.938911734320804,53.91705835582905,57.65987706452503,53.91300053843249,51.21202074724386,53.96300308060205,54.7294692836892,50.70206364117163,48.89955980808692,46.31657519595375,47.308452123672815,50.43742113823811,49.887232424610936,51.03192222909571,53.65889114316666,50.078595469396056,47.15039217098395,49.476916982309575,48.77281276149182,44.12831612654939,44.2977213734429,45.685098884057666,43.11167770250759,41.13191647185771,45.9651516224544,45.49908924576858,40.91054216258558,43.60323473161176,47.59239634028169,47.16876546059479,49.97567900587089,48.84339962565787,52.77072651127635,51.658057830996654,46.24051341983239,49.69851577950053,51.58111934840235,48.49820741155665,46.870991474459075,52.80521368061953,51.785608793600545,46.581143881910094,48.636165152956075,53.394966044066656,51.48884634716217,47.50858425106945,42.878623911879444,46.37333544755361,42.069988167077234,43.22378272179208,37.91202212717425,38.043460363775885,33.68210370695986,33.05216100133706,34.90495855050273,37.83519492973394,38.33838359167598,39.93392219382517,35.38517146907675,37.79206255048457,32.8585137740923,33.12747162310464,36.44325749938129,38.58862163199643,37.19525321438188,32.342404658580406,33.98145889441251,34.14094309444863,29.16867023867362,29.026345854117263,33.20962543742354,33.68942890365269,34.467402270219495,35.22839562234111,36.279178118700194],[26.37317367376456,26.85142215653018,28.97496312020982,24.427116856833848,27.9767783145114,24.422733788657943,24.26615197814943,26.22434115113349,22.0583076392759,21.88896637998366,21.771381035693295,25.119714392030428,26.203939601180632,21.946389764510634,25.441666056527964,28.55499849721874,27.860705172642987,30.515149757886647,31.89433005951937,35.82825030284751,38.07699112743755,42.616197657736045,42.5391468112203,42.060985546146895,39.9741774220956,35.63418216311684,35.58686592410145,32.09906595304581,32.51541276423657,32.73968403351148,32.2909013764997,34.25129955761893,36.192416258150516,39.21992426193695,38.56555731768116,36.83563154361614,37.91985767725868,38.523458679489956,39.09749321138955,45.47682699650569,41.833849982864194,41.11924478048852,45.57976835518324,45.850004927842996,46.960739623638474,46.86868559409725,50.85986665937026,50.04053470526422,47.07465793713882,51.91917825293205,53.64505014689475,53.44941219502184,54.95648683693833,49.77328719213114,53.99723263397043,55.50335542027081,51.13206775194483,49.925108917854956,54.39903634499561,53.858847758651535,49.2108577008645,49.000854047286566,46.445527559718,47.16639269517911,45.95502945208665,42.91237810770898,38.2114816350706,35.47818468212012,31.359955974675817,28.650224555205348,26.90292423515299,27.090283366284893,30.21849292982348,34.50228065489271,34.99485297559466,40.6669132444658,41.760070867943185,44.492048654731136,45.0391516211309,47.0355790028851,46.61579379462482,47.603109434620684,45.9479542192755,47.779105068113076,44.60549132985354,42.28939932223208,42.54507187770124,42.93863650799068,40.67881411285855,42.61188238408805,38.85677446611636,39.87064715974442,36.44389725464385,35.13378099048077,31.10879989268861,29.706551547248104,26.150375600151712,31.181030971216483,30.113331725670644,32.66662748386718,35.21251606430573,36.9576752773868,38.55592726194477,39.07061818498814,43.38585739127235,39.68351771269524,43.2623896364857,43.44339079394087,39.89964199823848,38.28596411929932,33.97617044388382,33.012740838867344,28.539892229168217,28.64359100590841,26.019700622058487,26.310416083404764,27.62973876826246,28.293716523851533,29.569651688867683,27.585179348288378,24.474690247953564,22.719446088697076,22.523887122668526,22.578875009376603,22.694818000595173,27.25481628835047,28.80098893517029,32.25612553346594,35.76207322875668,39.53267488062491,40.64566680730083,44.87378026997889,45.04101745896264,44.750383632520986,41.21738653480398,36.762988423602145,36.30064232264244,32.943419354011546,30.168945705349884,31.766114258555707,31.863686631353524,35.57646542263557,33.882858762900504,32.8053198216224,35.746224345926834,33.553030451685125,31.491555561201082,30.931906256428306,31.970313715915275,28.89547001515702,31.547839548728017,28.971707166254372,33.65011005229118,31.066138582035208,30.52267381385943,32.691401163593795,30.93677659058016,33.78415304531471,33.2082550849602,35.77568244064054,35.673958728840624,36.42563724183695,35.762407875181694,39.85309114936626,41.54016313558148,39.397193909829184,43.01044060025471,44.60910641181008,43.05450321201273,39.09850544001002,39.72620421469978,36.85527364471739,39.98708556316371,40.705959784543,40.695401278421116,41.42747195113978,38.33954362305942,43.7287557817963,43.983340324755005,45.65089363695381,45.02851799263453,42.23921236274082,47.065562523939164,49.52386396228292,46.43564025271124,47.73799103755083,45.2806436199822,50.013779050863704,47.54792771014836,50.32893167357633,51.271788443685075,48.707458182144194,49.24359983894926,47.66389242896057,48.4780282429726,49.23949198474365,44.68639659231914,46.27571397614208,44.0268030588064,42.25383027808682,45.09945738826672,42.84364527991021,39.231554531718814,40.835405683145254,42.90856326484713,38.36247825760044,36.14859849211505,40.06814911795246,40.70391834405331,34.86891232341425,36.14366780710027,38.578881762306274,35.01581640342144,32.344616216103425,36.329085345436724,37.053493539688105,41.568686824132136,42.84397708651563,43.24672986401749,45.87478242653436,50.81595321778872,53.43682289498453,56.027515369294214,56.74517702764677,55.0665015372247,57.157916217918356,54.36514634452638,58.603856896815635,57.915662062783895,51.87380372165841,54.16377609290312,58.01576074567916,54.218945941151524,51.75919201921957,54.83294927164835,55.51708574192116,51.40352196453637,50.13487857971585,46.984593027723015,48.148081990896905,51.000810659168486,49.90260095901651,51.05126193493297,53.23353392446032,49.87289400391665,47.05048937967212,48.74117484360641,47.93247059192206,43.52497869215419,43.42309679388784,44.29838303599026,41.57303886556621,39.67202382547269,44.27796598560105,43.43031863687132,38.713607272296464,41.540671919805426,45.47156980213948,45.4127035571739,48.48323440271355,47.785465686940945,51.82277954061134,50.34817065057946,45.2121182548332,49.07840406468795,50.792641121886064,47.62967860301806,46.56423564979207,52.50776448975529,51.258018714973474,46.280130123516344,48.80997414580849,53.392053828421155,51.31147504974155,47.461950333036256,42.73842358541784,46.277683019286094,41.8821560726658,42.42222988370335,37.255502367562094,37.356885477101564,32.80855869348139,32.54867308201868,34.84073693225151,38.03066149356161,38.84544218616836,40.14598514799077,35.87329988706255,38.52909958938208,33.71086498004971,33.12857293021705,36.37914438285093,38.02263807090614,36.67522463891346,31.985225006478647,33.02432897173103,32.73634057291487,28.274125206961607,27.71381044978489,31.378807340603952,31.39117146527375,32.03123050369387,32.7580668902265,33.684024244405784],[25.14651096229395,25.06411377287723,26.8697790413215,21.753807215651058,25.372995133368796,23.187274392170664,23.228519906895546,26.113340312271593,22.497109350552645,22.091177478641264,22.91496511651401,26.652757327471285,26.69547418125432,22.513733377108263,26.75213852762554,29.527810859253997,27.913502278714528,30.758110036676452,31.583729363247105,35.43208860827572,37.52615448452264,41.90218931071157,41.60200414197271,40.627998640950715,38.55064904658045,34.397996590941446,34.362051224512854,31.16054908431152,32.33457478040813,33.0355529919862,33.574358885289726,35.39952480398202,37.96460784882798,40.84792597125857,39.59075982102605,37.35334530125256,38.2865574366265,38.13234540411635,38.143282240874704,44.39118404825507,40.275784146802415,40.10180663303405,44.602568905348235,44.33678357211523,45.168006530901785,44.591983312454076,48.623051143838225,48.24511699339137,44.94010946884997,49.558461522720606,51.778183845396214,51.74167010105687,53.59456779528456,48.53771236838367,53.22189055085553,54.58890593459909,50.13086004771187,49.50577800631791,54.044871883783976,53.05819139929493,48.72903961904707,49.11841770230274,46.96989905073213,47.43337182365935,45.75968345441368,42.87146823866737,38.28970623239314,35.937770379915634,31.714389644413334,29.62914702193328,27.619410608560056,28.245666321383965,31.623444521182194,35.42701235215993,36.165282951278044,42.081217782382275,42.577868245085334,45.74351482809646,45.81716380023651,47.33663688432355,46.87198142190628,47.257588411282555,45.83234269649593,47.06533199582706,43.58430958814395,41.840958211229704,42.28095280089239,43.293973861765565,41.07919509822026,43.807960990681885,40.179961845894745,41.696233526271925,38.45964724685366,37.303001627323866,33.04269786484235,32.27153598272587,28.415515266345075,33.193344226275634,31.896333203506344,34.65450317319934,36.51500888385631,37.808434303720645,39.00266904944598,39.04232075759944,42.73292539588168,38.74168294926219,42.186321894880074,41.807005011666476,38.1642042327523,37.154522486000154,32.62245087850549,31.662884187392553,27.525582658744362,27.068615326980332,24.98709267491003,24.544980339591206,26.330829168611356,26.27077341553381,28.361589440892672,27.087293692552908,23.63457600682958,21.929268690216965,20.53262005799489,20.746453620775394,21.10970643067453,24.98209628052645,26.817578986174915,30.160458104956348,33.66545762706552,37.68167634059804,38.09559915865088,42.527239301642695,42.44937764668041,42.774226629409156,38.685111572891714,34.36347407812568,33.211431176712246,29.972002186749954,27.07630886941975,29.114322987895264,28.75971537148397,32.79435712018518,31.775446809021645,30.755252121529384,34.0529439605901,32.50923293372783,30.152950737573054,30.166236258450706,31.218963485719417,28.582703247269464,31.370561637879856,29.647170702561457,34.61559205345224,32.80119716466349,32.44061899499075,34.034971711340276,31.841705040625236,34.13042276508401,33.4489452149892,35.17930228787601,34.34706843586649,35.47549507124233,33.893521315863005,38.31266019282203,39.23783022575525,36.462940972729236,40.01474091744233,41.158320536789724,39.48080600757198,35.63367696574145,36.622504200815925,34.11435069078132,37.8101272988294,39.0479912431754,39.584524779553774,40.79008686173804,38.149174566632894,43.67319183078651,43.31099249885379,44.86541647459269,43.534903626387,40.8495561789623,45.21864878756298,47.39176913403654,44.20827635768657,45.749382937083695,43.529817042990466,47.89881577934103,44.94019616531389,47.671422239750285,48.29585372213768,45.996875304742325,46.26383622187958,44.683945793139046,45.53369930460398,46.142688674745244,41.592443317506245,43.43193280556948,41.14869950477664,39.93126473360852,42.79677245778307,41.07334712466052,37.254152023417795,38.379546227860615,40.89754202860593,36.632125159798385,33.61016344899954,37.75086785564996,39.17505710029537,33.10124541663369,33.98096805876599,36.80139845569688,33.73430743261107,30.495238413226225,34.21843450378604,34.47704658920988,39.486570664726436,39.779814734072765,40.57156773065261,43.5433935474479,48.31147387889093,51.266341401603896,53.5839262003929,54.63654530083777,52.90277430841557,55.145603587757854,52.49675104657617,56.46123657930362,55.50591941275859,49.43250513871799,51.81739266867664,55.29329316483392,51.27218481829834,48.91591693584174,51.96251967993535,52.17730394735213,48.004669301420904,46.91231522969595,44.02654067238775,45.76441268608364,48.777002158871944,48.004521761516166,49.5755773590764,52.10486184236437,48.95493722255333,45.67332508795156,47.60795582232952,47.32677942395746,42.737043362077735,42.26818550004254,43.673169145149494,41.20665678485071,38.785384727438974,43.39404598535277,43.01302334166821,38.26009900188255,40.52378062026472,44.501330185319816,44.00781593638073,47.1081685838224,46.32888976995701,50.11431355540773,48.51933999422187,43.199788474778614,46.944208486342845,48.382955487730236,45.113911409599275,43.86030754637453,49.7030350817879,48.17960472773803,43.081540473804054,45.56012882656231,50.026703607102476,47.727112411266106,43.791322179181414,39.07512277907298,42.252580709058584,37.76666745624643,38.79923932886024,33.63722484740462,34.23700805334589,29.99859387345418,28.981684116026415,31.201631183219988,34.073145923032456,35.067471577614654,36.913717287156466,32.92347876185835,35.89165092448902,31.284920267928275,31.153507450969617,35.10830792765449,36.98735856427768,36.21603476127008,31.076799811822458,31.926012010672185,32.41535604338538,27.92988523319312,26.660913702505407,30.6668612713899,31.446813898314595,32.374181425012935,33.224557776966165,34.20488416920914],[24.170993358039862,24.520908617185345,27.103850879437594,22.309343829025305,26.900812295420273,25.07880675963246,26.015310719434435,29.121901870334153,25.992645076721974,26.361261040188893,27.459935521026434,30.904855429873898,31.29746678465866,27.457513549578298,31.869966590356135,34.544737733451356,32.9913661509781,36.10746406232284,37.043390207614976,40.748593098216645,42.928824728462054,47.20652058771151,46.92320020439115,45.780606012748926,43.63389502911406,39.58749702677074,39.37926969969781,36.17363023762501,37.42914724671058,37.95095494144376,38.880951421166976,40.29377053653713,42.94463916559649,46.06649534564245,44.716780257557176,42.566565737145616,43.1653346854995,43.122586378206364,42.95410385160218,49.06618182108965,44.96527068502514,45.15629841902936,49.65640351319606,49.193814329701794,50.00475966837249,49.148019683381655,53.197597764883945,52.97998375213217,49.39261169950409,53.82322417547735,56.26937095821396,56.20903227453465,58.27335853390584,53.233886368384496,58.05036723052449,59.55005605615913,55.13467002655968,54.63337450886146,59.23684966945259,58.23007747250633,54.03850262992436,54.599333566111504,52.503201942402264,53.03182904315336,51.23991656066363,48.30519434686116,43.867993216860036,41.49419238758434,37.359801921777866,35.26283707195018,33.31940176701041,34.00418395629828,37.3465922556065,41.15776011109661,41.79499338987764,47.746919245171895,48.12821362065686,51.25685056037282,51.214196740390186,52.63488767224551,51.93255200808135,52.11875634855816,50.45748760176255,51.497674062522016,48.03916219058843,46.52409678210962,47.29648095572758,48.28000379039048,46.36984476211618,49.126994410643285,45.629879255391344,47.25029857419266,43.922796829860474,42.57993889556264,38.23200340793055,37.42659651844034,33.49282128587809,37.99809723707748,36.377596892317236,38.58619712398405,40.8827182573636,41.5815205382679,43.200460125180236,42.647096596464635,46.26499085278643,41.89044353406081,44.906465227034595,44.312538897677406,40.360778816143075,39.72072322992497,35.03397262856089,34.78309146516403,30.850489000227245,30.72303453132397,29.331783581577934,28.917951792865203,31.153574701474856,31.002540276775978,33.61621545302092,32.40229611670499,28.917030897269246,27.001708289899202,25.168524253344454,24.987749213908998,24.812834605118713,28.246849755637204,29.191421110986457,32.91162771395405,36.13985339632068,40.51295122194435,40.34800217224047,44.81042430159533,45.041356485726475,45.735808734104914,41.56865489353281,37.441380119643526,35.5682025599227,32.96168421238302,30.39300217611773,32.91205701274342,32.72401332416423,37.046017050980275,36.40113561123634,35.19514847822657,38.60858468143955,37.19344005400545,34.612957090796264,34.500624164296426,35.138237157035896,32.33504348058178,34.59694515470376,32.91845109654094,37.66073533729685,35.511802552315395,35.829790057878384,37.66590799419746,35.7907812341307,37.7561268071422,37.612928553693585,38.847580672705774,38.190402867227405,39.86329326743533,38.06812401582534,42.62802158519798,43.12328197883852,40.059362499942644,43.267215021117686,44.19760856454868,42.12967665432371,38.50988136420366,39.563408010428304,37.46606238022773,41.46384272742566,42.88285126989134,43.66494293342947,44.806089733523706,42.49525687941954,47.92336401650169,47.60157033449372,48.88745194609535,47.445339948799685,44.365790538460764,48.609019686097504,50.75986319904667,47.690046989094995,49.71616797493719,47.838453547296034,52.03945629416058,48.988768282134025,51.44363941665442,51.73073722793527,49.453714692309354,49.26363171831305,47.43005831812181,48.014301537047295,48.18630459138108,43.507798678714174,45.113117549061684,42.38575216882017,41.474228057150725,43.79691079491447,42.29811674684901,38.58768646543084,39.01840025562727,41.382563561737776,37.278731151409,33.84165606796219,37.61625582916177,39.188409019476794,32.99411414695835,33.34246817022344,35.956615569819284,33.149650277242635,29.552735840954522,32.68724003794167,33.13054781756152,37.98633874194151,38.32128876500931,39.61810289717118,42.4427057916237,47.33896702309652,50.05844578360972,52.69781552795652,54.16360508934291,52.806786699819696,55.39126505300949,53.19070546533103,57.13308019298594,55.738543053372325,49.88551698270048,52.67875261505172,55.886112593331546,51.632731161375744,49.67636024794432,53.00811521691049,52.67352024048263,48.398124203654646,48.0711501770344,44.88069714312377,47.29703095360057,50.122327010282014,49.06198912462741,50.976698173911046,53.2889926141105,50.57806244664378,47.08169607444869,48.50014330505457,48.54225714456901,44.12856359549054,43.06296673377879,44.306290306285,41.919085261879424,39.18966289120881,43.44306793726802,43.010102054043294,38.14296144320959,40.01165443076297,43.895806034750834,43.4660330143602,46.89182990566113,46.58060231147256,50.21633224507302,48.07603753968863,43.003589256325434,47.075348803764406,48.01528445776785,44.577508103200785,43.84840910304418,49.51863895484214,47.43316031827401,42.56332897366182,45.53388276886626,49.60351788665327,46.86062715695514,43.04771501356172,38.297011418764725,41.024633712618645,36.36816824846444,37.146354139614814,32.31135019686988,33.47018085662461,29.449460564481296,28.071806856360116,30.737823017387115,33.48587061125558,35.063554822971696,37.108900852888496,33.820855063691226,37.272987726347985,33.09028662406458,32.45955592424014,36.825285958139034,38.322061604397604,38.06713902504162,32.87815517686768,32.895002039699804,33.5105385820812,29.705287966194284,27.4343436063669,30.96642959195137,31.803751547454272,32.76293435624636,33.59614019844116,34.398352570692474],[21.08636943721516,20.720738043926527,22.653379159712223,17.489469043790226,21.80691628594197,20.82061524323417,21.766993787002765,25.365245082428345,22.748342402889122,23.049413486698867,24.803310988728107,28.324808528134515,28.08178899024065,24.599810507072036,29.437366302905588,31.742556898979963,29.753693946679743,33.15630018178725,34.10035623226726,37.47262307227891,39.79519758723213,43.8472322742049,43.67914902279369,42.34398651487211,39.98465188054479,36.126186964464395,35.597837834165595,32.45561367524962,34.00343039625033,34.60351996323308,36.40013600028089,37.404488766624205,40.4988357967949,43.62243599689404,41.81423629088843,39.477993571373354,39.74176314486134,39.43465415889306,38.94619824024496,44.85713869576307,40.74171466914367,41.385303831675564,45.853982822075004,45.14567198942859,46.03175406788123,44.945315887582126,49.00360768370771,48.81436785825061,44.95076249962899,49.21508245451933,51.82069825782479,51.69076592718289,53.960362079894836,48.97275747440772,53.97855803237736,55.58144970035715,51.226530895783355,50.96444744576291,55.63796771768402,54.57223505210324,50.64482210286679,51.591679785018044,49.71581619036283,50.368500349660586,48.24177794063086,45.21845773403681,41.18562863372071,38.86075591011526,34.993501334232725,33.14832575809966,31.332269648108184,32.61181901957353,35.73077377689593,39.24908692043096,39.6439842548445,45.7584914954268,45.542588484564234,48.81529377618335,48.344612991960226,49.413007683330285,48.4667331895118,48.24505501908758,46.55693664672571,47.236143707084956,43.71013600117636,42.549779068911356,43.62407435889161,44.84764417125841,43.24977318458846,46.43845416408056,43.21536487097331,45.33324639938912,42.07304602556764,40.66912962428322,36.137639355319045,35.86200668652955,31.708066720029723,35.74944291769903,33.87900439365465,36.12319863594924,37.90420326238564,38.18878272846133,39.567331804151344,38.64269077361002,41.84860503338893,37.34106875309985,40.25608249659765,39.384510051225064,35.44404124910479,35.10765878275556,30.374682940156866,30.122846645092938,26.475785994621745,26.12744924865153,25.257232972117077,24.612327794490003,27.261283588166837,26.972046430320052,30.32478284173017,29.239746270398534,25.72787303476936,23.611447860342597,21.14415403559962,20.705202595829782,20.41639182024925,23.333306427783462,24.303079616505908,27.90499842816299,31.079891365784064,35.519215116438325,35.06466058103871,39.574668297044866,39.724874118173716,40.65353979758802,36.32161453831214,32.30053305934865,30.160283278348526,27.710628438677695,25.27456413133591,28.038332535178128,28.056450732407757,32.59099407558026,32.20417484741313,30.794918144184148,34.296433192643505,33.134149554719976,30.3578259867199,30.404890610488717,30.90230455750692,28.379260589412038,30.634454236857263,29.58689690305271,34.45067489447818,33.0229803055719,33.37911154625096,34.70739776018182,32.568254132789754,34.07944869909794,33.943888441443896,34.57732686149303,33.6101821712884,35.61621559720955,33.458527093066394,38.12496708368097,38.250265897244766,35.024913774772855,38.04524690315646,38.92262118186676,36.71582326241194,33.16845500062087,34.237793960491636,32.32520877642816,36.50537238092536,38.11776491766478,39.17468492584589,40.49579634177464,38.54220884123462,43.94218837191478,43.328091448950545,44.46154626290359,42.71960427114912,39.60609764082768,43.614965447733226,45.66140707525593,42.61886261688092,44.87844318514131,43.24842183373505,47.294266270969366,44.2172233792195,46.45753339806454,46.5723253038718,44.30814130869121,43.932240299060695,42.04119224109705,42.59089015676076,42.710072291165076,38.04598735029327,39.73800825779048,37.07486249448522,36.350917246111,38.789850140451506,37.52753117210631,33.707119505879,34.07003182585264,36.714543127709085,32.762182942430094,29.030632252393083,33.04827665852243,35.03864753517409,28.81548699935445,29.153718581621472,32.110750373313,29.561599205968236,25.80761885301533,29.067351294964435,29.07610549951917,34.31109570390026,34.02573781330455,35.23373089259363,38.32585107535572,43.025808398555654,46.070754575810945,48.351102016480105,49.78583559334498,48.22598769169703,50.7397297182142,48.459870357121865,52.248246679480346,50.88289224348754,44.95084249594047,47.64831947133163,50.75975317279255,46.49821445224461,44.4656449322278,47.70874097366414,47.3562789595667,43.09547826840288,42.64253285281413,39.61365931070144,42.112408136235366,45.035000031766636,44.2192920554584,46.264248034205515,48.83285168224408,46.14540095056991,42.45096527524302,44.17133844800564,44.453781416699606,39.90404330168078,38.803143909707536,40.46473141153042,38.263985384764325,35.31650303676116,39.684479303035296,39.632811908198896,34.8640592454274,36.483286707853374,40.411229374228775,39.636562345928,42.88671697673991,42.30749368695628,45.82615190417512,43.88050734753493,38.605825015914206,42.43833566144158,43.44158357295476,40.04171689267057,38.98308604557644,44.65759896813861,42.71095673550671,37.69095328331358,40.42889147847127,44.6111199962056,41.997181400500345,38.09802253076151,33.3697925128588,36.217870407220836,31.62912408995485,32.7180191792573,27.700069168705696,28.78506162697813,24.856194473153792,23.27449517043456,25.693503762679537,28.38372469742113,29.788119583286594,31.95326040969349,28.5994282007661,32.06420101722804,27.956298161018267,27.66298347892206,32.296907568523345,34.02007283436717,34.02730997775637,28.641708642705566,28.75531318091137,29.885359195736743,25.95720410385514,23.52791343588163,27.41867667494025,28.844351547154815,30.027140244017907,31.0071619722224,31.95503977905467],[23.83589646934278,23.300677335170413,25.1345169445989,19.972074135262563,24.221196506134277,24.302082271688793,25.364991726612548,29.26514549559553,26.941059349803048,27.03190674797478,28.985875732837282,32.61968143686865,31.941238201970258,28.453834249164835,33.35241071395407,35.55494463104361,33.161527827851025,36.39185485256196,36.814844065059134,40.21225792439071,42.230588264294134,46.17372676661039,45.72337058593665,44.07435556475284,41.9309345873407,38.260383061326834,37.96556496469707,35.17404509434472,37.15584472257055,38.10775777324126,40.09281354053729,41.25409287958029,44.49733929338953,47.42498528992156,45.45012308081892,42.848754543070775,43.20866818958978,42.39562062735394,41.60692208867467,47.367938061095224,42.90693018783306,43.75989949653737,48.17598597482587,47.123957756574754,47.668640216873875,46.270080495156606,50.269995710638874,50.50827316454588,46.56706924118355,50.61081793579493,53.57161895737579,53.64017536968735,56.08100795056996,51.27521911364552,56.514656859883374,57.889274886163406,53.48115290610195,53.62078021677641,58.232981093808206,56.79936970660381,53.06893389846156,54.29288741450505,52.66651663357296,52.997811156175246,50.71406792846516,47.950820709055044,43.85031299095568,41.88635989756209,37.870125837731976,36.43268784499292,34.387720087490706,35.57810432856037,38.945644194026215,42.178927777351376,42.9284896927492,49.01921328399804,48.694473088677306,52.193264733485805,51.6056242092395,52.464850978718715,51.66466122083044,51.16443999890968,49.75158507719059,50.09219787854958,46.39237824050591,45.56893088150071,46.58211558260195,48.18709444271129,46.44567961223247,49.98167254897913,46.73582699503864,48.900787699751696,45.810494944830076,44.6073181564022,40.10949731451715,39.97440268922306,35.84730160256896,39.926586631379905,38.1143495615731,40.491775324799626,41.966019280406144,42.16514392380863,43.28158488477969,42.21592873968934,45.012895668167175,40.44225862598381,43.21508168433267,41.97329088229031,38.04254025787872,38.14514837759926,33.400294709847614,33.161728623757924,29.851937768906037,29.115650986539627,28.498067428157945,27.346007051144486,30.01733739751987,29.137867716162937,32.62249059130719,32.14374865152703,28.555161815857655,26.755161583894886,23.78502313489819,23.67642436853342,23.705888823515533,25.981975415968726,27.142845508142578,30.49840598494127,33.55080796187288,38.0428487581015,37.026627571108754,41.59807768968439,41.52969738848819,42.94761272967511,38.24946175572714,34.45505713898307,31.779508307957823,29.51408323719259,27.020703199963723,29.981138899640122,29.39055356876433,33.93010519569214,34.108257541614435,32.94583986555613,36.59786629914421,35.94665198483852,33.13724295885455,33.623111586388546,34.20994648343304,32.03567506045268,34.33385364900548,33.68502862061312,38.560681585294255,37.38983540717085,37.80096796732,38.92929490889072,36.63634966485545,37.922336915877665,37.66561527507085,37.913288977840075,36.46998759073688,38.54810660374534,35.80286859702017,40.56425940875802,40.147975681944644,36.44616470520098,39.40891024921645,39.78039714929469,37.5652936839085,34.22288197382743,35.65723745356597,34.11578762885367,38.63587718614173,40.606701538799584,41.997216492696076,43.62577921315658,41.90465706871159,47.31571830419192,46.3197035306668,47.423334886494025,45.22077849113178,42.321314908064195,45.91068074373344,47.680270072098054,44.59124133508383,46.89596110088069,45.38714085836986,49.072543356817626,45.560801048578284,47.83399875332502,47.71017431252361,45.77738040843032,45.22712504781584,43.410248438115346,44.003853006470564,43.97586559878682,39.410835604506744,41.28480361910895,38.60069713750766,38.41248929691186,40.72479881232766,39.93204281758683,36.07889310789368,35.92743967802785,38.81271528372677,35.20499138851274,30.8822399460704,34.84416350179074,37.39110526456705,31.16048281579289,31.028137963980427,34.09512022954183,32.04164710277248,27.928302408714693,30.633998034033635,30.35104632138729,35.758344235031025,34.68660632923672,36.4076640340144,39.65431724396516,44.17754485247755,47.34485837078435,49.496605673641575,51.30894332139614,49.84352985325366,52.526128123003026,50.486553402289445,54.01374179973121,52.35975725819563,46.54181431738523,49.357432486324306,52.061515930853446,47.61560708306076,45.790375914540604,49.00572539927098,48.12608993747527,43.85358815642609,43.71522448377477,40.94654139692171,43.99182312723441,46.96465119995068,46.36386211929741,48.7309053564905,51.45378820667002,49.00933873033778,45.05125460420147,46.80452356489244,47.46185634870662,42.919822166813496,41.505401102948184,43.408592454080704,41.408581208234075,38.16504419812574,42.34328028792215,42.53455590734699,37.81187663596613,38.95647724573852,42.7991826953139,41.793974386195345,45.10599015815189,44.615956631412665,47.8640906645733,45.70560482843939,40.47544359367717,44.233526137386164,44.86373502465837,41.387914221019216,40.352764257413675,45.78785659223977,43.45871484066667,38.49564663105684,41.275862680620804,45.165133922677484,42.231240997950756,38.35196374608113,33.720133601022205,35.939852736203505,31.26333141089368,32.77374057166003,28.04062340775317,29.81492089501867,26.403799302358724,24.015063422077056,26.418698568688203,28.61159359604149,30.360693921138992,33.07730748347546,30.264052198833127,33.96479909641019,30.238326491569115,30.23921805948325,35.25230267395518,37.013686072750545,37.42372821948781,31.944602573994462,31.802237305156144,33.33781103990528,29.646233901130284,26.77485578697844,30.56279427918049,32.31780205023416,33.5741817036657,34.531375168708706,35.37846133303898],[21.481802048149625,20.76795836916039,22.621713387890782,17.766444201581997,22.304625802925994,23.093272686919068,24.686615143984483,28.78922888747091,27.111115430906125,27.660437722576276,30.0019830340491,33.38132315988538,32.6818253037752,29.68800534441331,34.77037704219128,36.69921913899786,34.263655978244465,37.80000752560414,38.44491024167961,41.49606805915772,43.71617598349806,47.4411502730713,47.16584692411989,45.40825619735361,43.05191715104408,39.569825743184325,38.905883820412036,36.10736520271546,38.145748542474664,38.91499575442558,41.548621308376546,42.16774378594163,45.63616986400038,48.73380791383809,46.501693357234025,43.95394352091805,43.870585782397605,43.122186147031265,42.11992230568696,47.613284723221334,43.32020126990903,44.629143882720385,48.9804528360531,47.75475122981952,48.42954669216232,46.801973561826586,50.78459035750507,51.021203428764785,46.776803243405645,50.588100898667165,53.678602177538146,53.62642420520242,56.273788090030045,51.509870768363676,56.84423313351834,58.42797952748262,54.144648982062876,54.39824022228012,59.07404870272137,57.71174855797088,54.21387349583506,55.693424450780405,54.172576136389644,54.71517530181382,52.22055044668951,49.322079059109896,45.621312419234165,43.58281813902142,39.86858604304204,38.45309929248124,36.6146772082064,38.16357976620659,41.28028001021046,44.419634409563656,44.85267637312551,51.0125652560421,50.30510303059407,53.76925942028711,52.891398648170586,53.52655677537592,52.38588998570918,51.58455978616621,49.93849693813381,50.00855580905037,46.379051876441736,45.85273620257053,47.275354436107115,48.88030623226209,47.58541038060128,51.25873806563678,48.29206279041513,50.77652515832298,47.6420428684601,46.245436316186975,41.63199163785082,41.72873934799294,37.48177183900403,41.08370468010994,38.9532491477215,40.94619160139344,42.43607869471774,42.02677637856953,43.31419298264151,41.679475769210974,44.207891234776866,39.385746164772456,41.76249035478309,40.280236211787425,36.212896868600026,36.7003032794919,31.949258176884964,32.21851423628814,29.281078569023837,28.74181711238864,28.85871615121101,27.764000929751425,30.85833137822811,30.03733002277045,34.14351625551964,33.60177911120895,30.097662825051263,28.033722921163978,24.72840740235026,24.146845660877087,23.69304690390011,25.352604768259056,25.79274344128526,29.24460633191335,31.97467398053945,36.642771641766885,35.13655969567023,39.65441923329813,39.81457921294725,41.53237498645947,36.84551599168578,33.3141892819741,30.097517451427755,28.474145722469277,26.43748802728071,29.74290909337985,29.590571648873482,34.32730672414999,34.75947272727981,33.30572002809533,36.953413843153385,36.41926981424752,33.425973460181474,33.79988561471319,33.98890518866888,31.864455454311802,33.73355931909951,33.4370940935453,38.11160893398674,37.14814293514336,37.975453856306835,38.970545057844795,36.804904238655276,37.633541309969026,37.762249485174294,37.40001080946778,36.02677243975324,38.61657064100472,35.71699372359543,40.50977794865515,39.70044748932354,35.89028397475694,38.41351202027948,38.70998134741855,36.14131302742664,33.05889203182399,34.4263348373451,33.27436325982518,37.93778953555953,40.033300386820116,41.66107095779422,43.25296030109685,41.95048673401785,47.189131884119774,46.148499733795255,46.96060016530598,44.63677238242395,41.43649059167951,44.817636178693185,46.54181466392746,43.61586257264494,46.38093450470942,45.26674518208858,48.77567560141315,45.354884211681764,47.2365030032891,46.81098910725555,44.84244716064191,43.87309083843818,41.83269154715706,42.176204455510046,41.804142934108995,37.20671765561776,38.88678117666874,35.953979806322806,36.04072738291821,37.9991827776209,37.47705522029372,33.719646383377764,33.072749801790664,35.94721103489674,32.5986763803671,27.937472716988314,31.701554134054295,34.53844230368846,28.35844811631971,27.86374237969273,30.943347057876196,29.27772802116012,24.94498716047222,27.255207858413392,26.808167103850792,32.264371958069795,30.85515091209559,32.817132101112236,36.08518689372427,40.530881947600676,43.70967024688425,45.85180636296556,47.86839601937325,46.529370252690484,49.360397999003716,47.57459144568362,50.99060987982536,49.095030658752044,43.42734028654861,46.430912622502404,48.914641848207495,44.36289574491394,42.77274474214544,46.11255945537825,44.91032179535075,40.61406199393055,40.929913796297775,38.027017832396474,41.50372333968782,44.350197588641095,43.672452362702394,46.2917557796287,48.97094365961452,46.84388923569233,42.70302247087207,44.25915312300466,45.237659097412276,40.80054137368003,39.01232662660407,41.01780678393869,39.209538743426414,35.709946929059704,39.65577170932364,40.04033438671189,35.40135613564948,36.12043263579593,39.87005457203846,38.709769768855125,42.07409809195516,41.728088240118616,44.783757847124434,42.42255315381473,37.29684964713694,41.08358345105441,41.43523392330706,37.91199727496231,37.04927752159503,42.32881260336247,39.7534561340234,34.90190095531352,37.859724400573356,41.52995547717181,38.42511755075961,34.61006703848091,30.005052457014422,32.01846438392463,27.308341361668408,28.78278751338781,24.20479774386403,26.281809911825366,23.17160185664918,20.45221519832075,22.973864862163516,25.022149581552547,27.053193736298024,29.886796353159315,27.58934540025039,31.541665466813154,28.249823930881675,28.06374121003928,33.348160851664375,34.937221044150625,35.80913628533816,30.343659161043664,29.723545359934054,31.587462420095633,28.377701173378107,24.89989139968611,28.454599822132757,30.53757130585529,31.913924743944484,32.91177405719708,33.71875712876672],[20.658759087377092,19.21578447267509,20.118251317804443,14.898177598479254,18.669509250872714,20.274613856633188,21.554825763186187,25.91141291818926,24.580123628503085,24.827328058390915,27.519501366138503,30.931491275455425,29.652441579623872,26.93946998600323,32.1246484438109,33.756661659177084,31.0055970767189,34.588120727711264,35.159278111864744,37.948923792491385,40.201901559169535,43.735357026906854,43.5333893524063,41.690035334887014,39.22018205945637,35.90473359551366,35.06593238264381,32.39153755756948,34.633214500315106,35.528209862345314,38.646240226324686,39.093135997514764,42.80312050964857,45.77784492453027,43.27088896226416,40.58181484625263,40.35886471856304,39.350457355804714,38.14472007476502,43.46867848366004,39.1640098358022,40.71896150238479,45.006572533052385,43.6452181223291,44.35575337161841,42.62368277253084,46.59214204305287,46.82630934354118,42.46596447288661,46.18871338113113,49.33000510414093,49.267889498578654,51.99610826039161,47.29366001021831,52.708906776593494,54.305790601802464,50.07509999501023,50.481483153844934,55.15319972747006,53.74647382999115,50.42621484713579,52.132593849447815,50.7786959129249,51.36572369906265,48.68428538754635,45.78088973427379,42.37214841812266,40.42526391229714,36.93738339222828,35.75956176476727,34.02432511631734,35.9228367217187,38.840000902739014,41.70319740075844,42.00905768455461,48.17917170358308,47.09736462505437,50.64410900870018,49.507507468210385,49.90578909826606,48.681853333815965,47.63437770017177,46.07478736076176,45.91246759116749,42.2331355282113,41.934733136885846,43.464231359369286,45.26483068844678,44.10846524141795,48.0565801606222,45.277919850495394,48.04042894075973,45.02891590163656,43.67737429963621,39.04654176704268,39.51333005351689,35.236482838778606,38.523682272781656,36.35973621065064,38.51020038720153,39.46458229110859,38.94111299656083,39.88189063120063,38.167528954735296,40.3487450686034,35.58306107261621,38.003542969582604,36.351263327004276,32.421283419623435,33.064456652437435,28.371654646635704,28.394670325775213,25.723472692907826,24.85109496463645,25.252995810123952,23.917622143880163,27.16779834547117,26.212281860652308,30.707465246753667,30.312980083686995,26.893100308881806,24.82726066551854,21.158045181838077,20.5108673416855,20.157837543018733,21.301243739706987,22.07544142709748,25.212759872235907,27.96158406166733,32.54608834161957,30.948583062254002,35.505701660677175,35.464009747689296,37.284485355844005,32.456441006561825,28.976970637823506,25.7047049350056,24.030938463765423,22.018885525411402,25.40924389066623,25.330697917697005,30.127347260905992,30.712524416027307,29.18250581753314,32.83863407622816,32.52691488927145,29.482804524148126,30.06344542629431,30.267315671041874,28.50055676011696,30.494906562941143,30.711852930537088,35.45852992779056,35.13724252917625,35.77206008108885,36.30631004582623,33.88045795522818,34.43706594855055,34.39158445142407,33.68618523127986,31.974556432509758,34.64391227076999,31.48663083657515,36.29154051174701,35.2704234333651,31.388505573586823,33.861595045053214,34.145358532672645,31.582337114602886,28.489747412329034,29.89137606042276,28.804652950080747,33.54600284851338,35.767026299348245,37.55477317588134,39.3210637876641,38.21982691441653,43.41841328204086,42.125814867924284,42.90216526699139,40.35609765884916,37.293059125497265,40.48449462987776,42.11128166866778,39.16372320080819,41.94897996853328,40.93166203178596,44.33282753461351,40.90868348198785,42.708686905849746,42.24725805324432,40.29424963092433,39.324740993154506,37.32988203384805,37.74896216195489,37.48623931022353,32.9411633862042,34.81043630918809,32.10181467677667,32.27460312482641,34.54134211796404,34.161111485699685,30.276847061444684,29.809172161975255,32.99758383383503,29.748228368761737,24.97893036985079,29.09103740362743,32.2251032754915,26.12894592842286,25.825836987605342,29.24458888539785,27.714094276414432,23.462785753709213,26.067765025151637,25.184274833668383,30.951049439030417,29.010723229133593,30.680543851156155,34.21789156154288,38.4280566429648,41.94732868839417,43.674182690332074,45.49578841972949,43.846647137931875,46.48529079018916,44.46695752961741,47.76116856236264,46.05569151123376,40.23672228994003,43.00327206543879,45.50384169621775,41.02292788906756,39.21038734080577,42.36571788372154,41.34350738089695,37.08714665000759,36.992847952343325,34.36465302463808,37.6836286148108,40.69079013458046,40.33974242772659,42.93976267828692,45.902587836907564,43.64263945768703,39.43014971579413,41.41750109334147,42.46463983350597,37.88029173341856,36.28769309143406,38.67349295360785,36.99513481986144,33.4700511747615,37.60242264520888,38.29063182513161,33.81477768363695,34.4879188965816,38.273865396397575,36.834473015423846,39.91475978086616,39.179257338546485,42.18483341286286,40.19930460619502,34.833635115314976,38.2782019892491,38.873537712706444,35.45686505366922,34.09702393887989,39.444479029301796,37.21071753447283,32.1327751855643,34.68112394455302,38.614400972355526,35.795887451932416,31.846091080774908,27.273590299541222,29.571775189869502,25.00300714660492,26.898080401005274,22.030854260895207,23.817772821000357,20.763006702410404,17.943498323866468,19.989864983230877,21.997082004764227,23.631012236160267,26.560746182784925,23.948104813850204,27.746772423739046,24.406794278460325,24.756173466646597,30.10780443967659,32.01639811892037,32.92635958720647,27.378314697360025,27.134764509549925,29.361050359060076,25.893482762630857,22.69057130286468,26.623251538647462,29.088347262871217,30.58746684801525,31.667868493618247,32.62430641832405],[22.12829905329746,20.934310579074737,21.895603922891922,16.366982198460754,19.86697449752765,20.437041113281033,21.1149219701543,25.235101145618003,23.16336119160389,22.945333001362172,25.255638216425204,28.947706076038987,27.72365689641913,24.479955051820053,29.537250024032122,31.465075529470845,28.79162763284388,32.134741683782366,32.59327568618572,35.7427009396103,37.87734435465312,41.67333195149479,41.35933817163094,39.68315939192326,37.358614172915146,33.78545527101907,33.26048982940492,30.494312657967523,32.61305522493077,33.63672062058302,36.10593533280665,37.063811961988044,40.551945326165004,43.40472106868817,41.16271483571225,38.451080718733444,38.652640710419206,37.669400794453274,36.73742903341394,42.39559955043445,37.97393008077756,39.02607573087695,43.41466782437124,42.299674281213335,42.96207838945167,41.52845515225313,45.54780298705175,45.682848679646916,41.630907053715376,45.66004656140222,48.59661828058004,48.60752321150164,51.09539732440933,46.29267547822069,51.57964286012052,53.022034891560104,48.66444678646046,48.8701538004206,53.50744338618606,52.105157835152944,48.4987680953486,49.905093139004144,48.39188219939853,48.843789333750046,46.38447326689148,43.54199412572973,39.73932898768497,37.77931711316403,34.0039444103206,32.72490370127195,30.820984858300875,32.43475495544633,35.55673490458933,38.57455339731469,39.112917229747694,45.2592948297597,44.55208998233218,48.10777274986456,47.26694535415026,47.926934969121696,47.005869487238506,46.313301553640315,44.92759106687627,45.11264108592368,41.38432412302446,40.70801334625062,41.840948439249935,43.57514944900124,41.99638333913276,45.76689856187163,42.70970837304076,45.17815305350055,42.166680643532544,40.96184305177861,36.40833445383966,36.64858513623546,32.45016395846537,36.20999161951321,34.33987517417207,36.87569246256245,37.85193217587075,37.961188655739186,38.77201615951232,37.667922835046305,40.21704841112352,35.71764085689864,38.588796277157265,37.270940566394906,33.48018222692473,33.61786029900994,28.925265315220603,28.399285149697235,25.238355930109165,24.220987568007533,23.773163834478652,22.458123464696794,25.29765976333849,24.394521162500816,28.2867385282512,27.825560528344184,24.285899845598784,22.392647826139935,19.093026625413803,18.88286286393217,19.005289555348142,20.99817385170262,22.54559547160713,25.645297755417342,28.778926453478256,33.168730142900316,32.227933361012326,36.82237930529966,36.59347620864346,37.98155614580808,33.22569594809061,29.40018848419162,26.847034763494793,24.414652157832627,21.889213613338473,24.872119158062958,24.45881646657972,29.089230775592036,29.274226533780087,27.97976510545892,31.637912151593053,31.08991307650279,28.219836687046723,28.836113267216952,29.447942210947797,27.55158852047081,30.009345467239374,29.792874570895993,34.77166398694647,34.2135474771489,34.409506502772075,35.098428618171134,32.54639425708226,33.616147729717774,33.18742044645549,33.19187210668077,31.49562921599028,33.62084552151315,30.735933073121295,35.51341782436794,35.02725733538752,31.361524377859677,34.32914941985142,34.8178795105012,32.63661891547076,29.20761782539025,30.5938298293804,28.988620563213356,33.5103342651341,35.524157046499056,36.994560765687375,38.74094460877391,37.15350887619772,42.54764938072245,41.373937576794965,42.461723969497356,40.13541476110521,37.33451864198888,40.84569479845219,42.58597438265822,39.474619927589885,41.77187027060155,40.31068346580161,43.989213086201744,40.56530742584443,42.770377258579096,42.68063837828852,40.68290638665567,40.195951399367196,38.41877499927023,39.089465824872164,39.22149267761922,34.69620040727356,36.71806982091738,34.2767293418446,34.03028782996735,36.682204218438294,35.910045765260534,31.941643202706697,32.10644283994583,35.23004942259283,31.636209220471144,27.37141632745682,31.669864602117283,34.36390457101045,28.21831720906225,28.380254023589256,31.739896657131812,29.704250011427337,25.742883540454308,28.84739637168123,28.22590152077596,33.88312176925279,32.49599254384137,33.8244798180345,37.28263786339977,41.61879673417338,45.07715572028632,46.86251183867909,48.40231516888529,46.61582335749446,49.070154672236995,46.75064921454599,50.21589069272632,48.81495900151533,42.83390149061466,45.384328657827986,48.196907945977635,43.87387229956774,41.78546169111013,44.81791679261173,44.24670054686753,40.02904047150462,39.4084020961826,36.85658349204236,39.59527933517492,42.712406311410646,42.38313862557436,44.65031318342559,47.61763664734556,44.98347395301254,41.01849362364319,43.192242044333476,43.83093626153308,39.137468333540326,37.992623543065285,40.215174239298314,38.29834343307227,35.09505277145667,39.49785745529928,39.935316929430215,35.36048112715495,36.56009606294402,40.45694578608869,39.231148495461305,42.25381558096548,41.36625128848647,44.624950916452754,42.879087803152046,37.41454077464014,40.85523743860159,41.80529178588563,38.455006584441264,36.94361820419051,42.48686741733992,40.577210961597515,35.402821393582336,37.774640509264216,41.97317687189123,39.39425544965825,35.39778005710415,30.793162251600194,33.41736391399258,28.910822561492186,30.693909506939757,25.65028897837692,26.982862315596847,23.50335842826323,21.24788244632965,23.208901193380587,25.477789545896677,26.752230047244502,29.399313008527677,26.141380005119398,29.606583938563332,25.715130062288154,26.181905252689496,31.157516435208066,33.234308716600765,33.57732174838954,28.02464267714571,28.335587759623913,30.133969184214724,26.104814651469468,23.620311270051648,27.820082088209897,29.882892312271345,31.250192788281794,32.293357780547375,33.31641516117425],[20.062416643393856,18.305125717737496,18.40587407302188,12.688564377476323,15.380977277727672,16.248941739699777,16.620566203926515,20.908338184891505,19.215318087710493,18.9276028210089,21.631908148037304,25.204770201429444,23.63025282073251,20.83832355038148,26.02857264579283,27.631383736859256,24.86533575107345,28.474527792132335,29.25609834412201,32.03983177075498,34.46320625535293,38.09066918469656,38.07219498342514,36.47867618235117,33.848081402431966,30.35865344552196,29.401755634749584,26.507912144708563,28.578293569034454,29.453712870644754,32.49066753455511,33.02016358538634,36.72689280282131,39.634489323282764,37.15252059920661,34.47621402906567,34.35225067478069,33.452451172306255,32.44937743064634,37.99890678666264,33.81666606508943,35.09879474674519,39.45745806243168,38.38253206638114,39.33127878876855,37.935985132712084,41.97673304719213,41.83969663645734,37.641962862668294,41.67596577730583,44.473792489706504,44.320837238036304,46.83869458550245,41.97548808121659,47.2303973291997,48.887351716033365,44.633249516374654,44.76241670082434,49.4654023537069,48.26532079546701,44.75792887004806,46.27604512617081,44.7934273856287,45.53958932364821,42.9435368959956,39.89536125503996,36.51765010114418,34.40007762918561,31.02481054257462,29.73696131195678,28.14361812815978,30.248284897894326,32.94231215112657,35.83213365174883,35.94353300571069,42.12936834316988,41.029880801921955,44.518771944952,43.42503344872471,43.93016095336167,42.74196264960842,41.90506449785932,40.35542061198522,40.45995048526933,36.79740742303318,36.20160970122506,37.59804522022772,39.28545876885641,38.0514602986973,41.91726673652768,39.12787194586786,41.92141964974083,38.913798378407655,37.57538874785239,32.9545304385148,33.540480475967335,29.275741897598586,32.545419784723904,30.509287800925918,33.000047811993234,33.647610917255285,33.51898709836211,34.21015304581056,32.94846247142584,35.36349287376151,30.86526680552554,33.77810519548689,32.474371041457324,28.76153430947739,28.85706690703914,24.20584112508194,23.5406233244736,20.49133985551658,19.414638694533426,19.304860103930974,18.074010514631855,21.238172389601814,20.6165058927337,25.02650707093172,24.29875425142324,20.91256860582485,18.70823770545629,15.195605649807687,14.504340981809195,14.377762183413894,16.1323482643892,17.781030150828087,20.776413376372282,23.970467188208325,28.31145490307515,27.54517058580078,32.132481593008556,31.920209911723674,33.154998889277806,28.494388340065388,24.60008364087844,22.24365295871855,19.740740328795617,17.353516423119956,20.40503360889321,20.640046141675374,25.402856097035382,25.415373682497677,23.77844096050248,27.37214027589648,26.730068064480502,23.746836632098653,24.255496591377568,24.717235040097485,22.960688753181866,25.4209154114559,25.581357732694865,30.56934106525783,30.544163044511592,30.647158982693632,30.962721071064266,28.279243719073484,29.087030846793336,28.668695471822407,28.40234741372725,26.687519860216316,29.007564331206826,26.193720013707818,30.96767344371177,30.536192487493167,27.08425643125559,29.94443199706878,30.75727143220121,28.499892245352697,24.9758161234083,26.114598442379027,24.389225226237258,28.818355039783967,30.756972384729966,32.2360389030317,33.952204553866075,32.51887281237537,37.85034800918332,36.66096960977795,37.65843383179894,35.37435389968578,32.46317074836002,36.035647937294506,37.86315658722165,34.792659620129704,37.21156973326957,35.86342326421492,39.64536575724561,36.51476327828331,38.52679239853789,38.48177873959115,36.2645333384822,35.78535551467562,33.940379199246145,34.58896055206671,34.83471031092509,30.282600622503214,32.30242474440659,30.023130924499835,29.561346473299675,32.48304227263981,31.604171255416365,27.573277846059135,28.124316250342744,31.348460755530937,27.71022992319432,23.693510604290253,28.23873081114125,30.88902028477569,24.90205840319998,25.434525617387266,28.9635108733805,26.877654893965154,23.21772369041308,26.72731794049099,25.903338840988493,31.615468427715232,30.218641098238884,31.040805656759737,34.58494689299106,38.77572642676693,42.40584163787788,43.91974272000361,45.12689886002305,43.0783545521698,45.30062424658635,42.71502547913424,46.1980354350115,45.07364975780283,38.96122938283382,41.275475901862386,44.289614964246155,40.13274140094713,37.79582555520726,40.70965419083431,40.544879342807164,36.38893843043724,35.327687400909106,32.82218403127145,35.1615668647,38.35123085114374,38.15111633292336,40.26262978856465,43.36605313178598,40.55591414152778,36.64498619522121,39.11943509447454,39.67693456374535,34.88623355747757,34.014030774446894,36.44145760721749,34.58013999811106,31.480983036668274,36.06809453783599,36.67054587961229,32.26709966174335,33.577014814973005,37.494823304920615,36.14195890062512,38.88534970790158,37.66018300404351,40.97352266678454,39.62162722524433,33.99856839181973,37.18077427984971,38.484195461857,35.28253088947557,33.40124576936439,39.068898091261026,37.624272489228574,32.31442954252622,34.34132970887408,38.84711153954431,36.67497727137318,32.62588083974691,28.06656469271783,31.21866446065314,26.962592535835693,28.75227251877482,23.468304794253605,24.153159157857562,20.529594114766066,18.734493112533112,20.260503245047786,22.744720801920543,23.473248455543132,25.802475262050315,22.029223663149835,25.21697315959039,21.10638531406968,21.862997766477047,26.711884517339623,29.020977691990396,29.266970314726237,23.70207106078293,24.422619658316087,26.390667041851895,22.113409651514257,20.048123862393766,24.558819608905956,26.84596338522958,28.294977494209338,29.421111004847464,30.6099241446708],[16.8172399272439,15.722016703947945,16.72477578545052,11.349419098027575,15.102983253745629,13.86347565205581,14.6822410711497,18.46933855829597,16.32230921717547,16.923626997206775,19.243396491449428,22.518556099358754,22.086263305787867,19.301568131622798,24.388757941702494,26.27080181498225,24.349777820192102,28.250253758843726,29.84840890708429,32.66995086384508,35.48836541193386,39.302327590148735,39.61597863128762,38.45005020504106,35.62535776555972,31.876785453810886,30.66624602057526,27.24878752839998,28.559068171960686,28.759972031320792,31.375905982725726,31.615391894701187,35.00464175052367,38.34269113288213,36.22025549414,34.04804711019204,33.74088145615729,33.76941536817433,33.25751890766426,38.99759805056799,35.35804723449011,36.32025715484342,40.73474888884302,40.141430537373616,41.50032468031432,40.497811275449855,44.56716194436884,43.93667063813333,39.86527663670159,44.114002177241865,46.47092212050961,46.05143398826589,48.35176358827534,43.26094302492212,48.16116782038764,50.15138153232712,45.98337874146932,45.53242237136519,50.312521604012595,49.62278443785573,45.82918740406416,46.89163467973026,45.00586888994616,46.171361713939966,43.87256451302936,40.49075972763148,37.10536535798149,34.45396607150537,31.21111877511748,29.217765546926593,27.921776232971894,29.932605904783724,32.373637517381084,35.800020155157846,35.46745218065649,41.66261254498734,40.89233877752085,43.99834690462328,43.175111483151966,44.06250962564669,42.64380949812336,42.262045820435056,40.20124723066824,40.834429607305225,37.485626518868976,36.37615362924845,37.91198978374637,38.92971626552386,37.936262311857995,41.155326670324875,38.346616652470075,40.94573209662622,37.611307925666175,35.90396003688144,31.21559963628266,31.387661355097446,27.068032907280326,30.348900685891678,28.110807443516578,30.121678152724435,31.6681542001701,31.484646054238883,32.92261806414731,31.664656811380347,34.83146360650089,30.247789503218666,33.1475705454664,32.384604406113006,28.466965927621168,27.992219675001124,23.27137795723007,23.07073346003155,19.451037470483637,19.398715590339553,19.03914014569988,18.841067376788725,21.956686251499175,22.29075311995289,26.30816864824721,24.65601791467211,21.399765933567334,18.69033923349254,16.192195691957924,14.832981279774003,13.778183185334575,16.685402603502162,17.262988418523104,20.993904245470276,24.172908045833086,28.594212588219573,28.44169383186214,32.87652276086684,33.22584994074738,33.85988650530094,29.83330469006337,25.750322846664364,23.928376438310156,21.593374135865826,19.562382488785854,22.346451373028867,23.471015498864922,28.116786789715906,27.40199587141786,25.43899636233046,28.76432786703109,27.306060866883,24.36947865056648,24.01036971961117,24.131554934334847,21.547760811790315,23.62711995438459,22.91818461462092,27.796904353989206,26.957550627864553,27.343037591983702,28.275739861070313,26.07597808103661,27.23604547526738,27.328868740793617,27.625697759338905,26.925007224350768,29.296058823698818,27.462654657847875,32.05894536183504,32.35187211741611,29.561056830107386,32.310642216688805,33.70414685936645,31.336993542471607,27.74168478574186,28.346456706798357,26.289032423847246,30.210794138035272,31.603449992456277,32.592620269872725,33.721195194214076,31.98040323394288,37.25500040352979,36.77389148933291,37.71738492976331,36.18576432208771,32.75223354766037,36.93969170118568,39.17756723476809,36.2699082274972,38.782201272508146,37.36635249064148,41.58667243400694,39.03815093611034,40.91849199893699,41.07553750633314,38.45414400142548,38.02543190174504,35.973664204736814,36.39442637871674,36.58512125897384,31.870400173692474,33.39988147842231,30.84946333380813,29.727692294462262,32.40275380663944,30.888262028252527,27.03374081004897,27.913747186937844,30.559599776604003,26.455131214661034,23.17201659876829,27.444483416356526,29.23720662174285,23.16149160594953,24.050891244076112,27.191955215655653,24.462386949619297,21.12301399720624,25.034079339878698,24.861791182834235,30.135724531305843,30.02420720512941,30.51386883010067,33.66214888467817,38.23763575611629,41.45463595910598,43.44429674458959,44.41830610547569,42.55038439593433,44.77689369218415,42.16957641038314,46.045725016851044,45.03451278841368,38.954106731365584,41.391888119758974,44.81738198612524,40.78919883569973,38.47211476459898,41.623666366907386,41.83081329056007,37.6524786437458,36.73283598342953,33.61456529951444,35.5666702715478,38.504033917986725,37.718070819003756,39.53512753349795,42.19450528822742,39.294734660011855,35.69926853047221,37.6991577948164,37.83759059373239,33.172116203016465,32.39715147472117,34.24698413991032,32.070567882457006,29.260813797498567,33.899818443627716,34.0169848869242,29.416108024582968,31.24786267810174,35.236967016137314,34.340075782432955,37.26074184116648,36.28400796350139,39.92685124343562,38.46335177926503,32.99649606520809,36.57661358975322,38.05333850999457,34.83882619198302,33.39620584228151,39.25527668776335,37.91573268051079,32.760681463051114,35.138681997378704,39.70204267510978,37.621513983646906,33.68770605600364,29.005260138326374,32.60023218238145,28.33865665518533,29.278074138541896,23.939837281313398,24.086074494551738,19.833428895333036,19.0719806101048,21.051176167437006,24.13432458816924,24.88140419540409,26.467731691894798,22.47885894830282,25.598756593821523,21.208862010816702,20.956375677946877,25.378340514681437,27.300014232441722,27.155134446085274,21.726488735465487,22.27805421803033,23.538619099484645,19.261880394483185,17.286315113262145,21.638372453606358,23.34387654542875,24.65678111955884,25.796362822254938,27.010031145061518],[17.784505842493274,16.403731492345827,16.470812042980775,11.386963489294528,13.553008585659088,11.390293191604943,11.069249600186728,14.626129591255076,12.099320203290423,12.23481878492776,14.650331049520265,18.032775151789995,17.364079935436287,14.651938851770776,19.775969054776372,21.56671369047961,19.74673411279371,23.76458232203979,25.727653867364978,28.402264052941902,31.440337704713965,35.24982822733899,35.80111525064887,34.89285285785045,31.90349377710984,28.089919653431952,26.66261052900749,23.02334576776014,24.038538043315118,24.082875123952746,26.737949504675587,26.89028363516109,30.313116297782145,33.64727775324645,31.508674685414352,29.412589751042145,29.07908455918883,29.320403917542617,29.015659381726945,34.85388007237721,31.468663277192544,32.234870245265924,36.64690308871273,36.323341530190355,37.9399570308561,37.23286482492316,41.294820933231904,40.31250433324385,36.39161765475079,40.81316103525652,42.836983944640856,42.29914068467811,44.419053477101286,39.228197205818304,43.93988461651417,46.032229742377794,41.91085173550062,41.19995024034101,45.99474826490421,45.53927713061457,41.64572032270355,42.56019102759698,40.570251880145,41.95527573858852,39.719237138206566,36.17491892555914,32.960225225727015,30.10295206663107,27.118226203611933,24.9707209188381,23.944869421210793,26.238630766660357,28.31049478136596,31.738222331567147,31.086803225988056,37.276759687720954,36.409163804226054,39.413119972449,38.574587226296586,39.526118394886,38.05484462808063,37.835820618679826,35.714735375257774,36.57475984425203,33.31129896256204,31.947856218168837,33.44704716697866,34.297438542761796,33.36034856518149,36.47673950285216,33.73969309561406,36.43650027217396,33.08869604221497,31.325137549903566,26.616901246562175,26.96242062652604,22.622649465027738,25.739761962838767,23.539928225850097,25.81836541242053,27.06837913214843,27.16884443255062,28.414489114702047,27.51789051699724,30.88438419133765,26.575684721494426,29.853612689652763,29.422948850904397,25.777280482807587,24.801500784949646,20.24467663888167,19.43902490511866,15.475961938807774,15.416677021372003,14.580509861160683,14.795604610789919,17.79694137106706,18.696009601679915,22.57089641612257,20.444441124451878,17.379456708249315,14.396443374452689,12.414819952782713,10.696897313395215,9.52104237042084,13.244295451212825,14.444746493771143,17.926238969446395,21.36757508157536,25.440928967806787,26.046046471525962,30.366336113006525,30.61296440144068,30.711970520386306,26.985130944698927,22.674248605247655,21.766317650941126,18.921852084786018,16.828973504668873,19.111288358551754,20.7347496988056,25.143451949400504,23.876021984254628,21.754070916320956,24.87058540441255,23.02265420776366,20.178001685230704,19.573338460615908,19.83708816097171,17.193860513829016,19.665185113272845,18.904289935112594,23.99022257478992,23.530299924657083,23.398901817781752,24.0654494568071,21.62802887188952,22.991633024080436,22.796862457159005,23.491704560601168,22.9227778251239,25.008285036207397,23.655724064031443,28.09999320594397,28.93991055236734,26.675238120084806,29.58580388677475,31.427703421007912,29.326910575343746,25.543723726947412,25.826920676301913,23.300526340659502,26.765656524407227,27.824465843722418,28.49653197230169,29.505567130548787,27.505617743947393,32.84043520340054,32.501086852633584,33.5877211318567,32.352448334960734,29.021883640156304,33.50615307765078,35.90669951068347,32.97711354561149,35.20507248902968,33.58242083904097,38.07923418604798,35.896281307101695,37.840240499547214,38.3104707849074,35.47925192381062,35.4151526075978,33.49107041140278,34.05018466037847,34.619159764505845,30.01471846190454,31.59094699390141,29.450409052696024,27.829211895863235,30.969692775765726,29.08653465184122,25.22505256650595,26.940045002532095,29.544544961389636,25.269512811536327,22.763817336084188,27.208613059693743,28.59162196905842,22.878664808736787,24.407062062235415,27.540116292740862,24.535562121248308,21.86408104551478,26.251092061987272,26.040855501362106,31.11712679027173,31.269072743940193,31.12155865870589,34.222532200295774,38.62987202603257,41.91577995134794,43.654017811953906,44.14228865915481,41.96775439102236,43.82298501606708,40.7974053031828,44.74952270756901,44.21036149913003,38.00067773343128,40.02648170789755,43.790307234658414,40.0809166466082,37.399669818898225,40.298091993316156,41.16002769484673,37.14369319736735,35.50720957724473,32.558395804606334,33.67456766062737,36.69819561312972,36.06151429133572,37.45026109584294,40.2065294210278,36.888007383851374,33.59706926661236,35.99842867505212,35.74180656440421,30.968777815096615,30.83999217295555,32.73138716566363,30.4700135247808,28.08933943581669,33.001387834056665,33.10031004638912,28.714687475025993,30.98413946457556,34.97157619821813,34.111686359172886,36.66068970414949,35.268852379207054,39.069508747607756,38.16653963903333,32.60426339209695,35.84936085579185,37.853842227325856,34.88802365485264,33.03860299317814,38.99973135411014,38.295359004420646,33.08112791288699,34.976576103419376,39.8699153451587,38.3152089738165,34.395139126608,29.875249051799734,33.94340272037885,30.027236268234088,30.945325699387,25.52801373195194,24.902754739064207,20.526225019866075,20.520474531132677,21.944985862055024,25.155028234719737,25.21441865171949,26.283939006871265,21.574879746903093,24.01671816037075,19.16478447437496,19.251305244325206,22.99809222195075,25.23730589244308,24.490573750153395,19.202682550870932,20.688821825439593,21.6867138191341,16.739939627603047,16.1014513481117,20.77450936796855,22.296061376835148,23.52375482705732,24.65832381543531,26.053664461453273],[13.78296610967826,12.834973935383905,13.63438526827847,9.361576980812796,12.635460896089985,8.919623260708812,9.925705387742136,13.03803543231964,10.972721175312603,12.838595773198119,15.107460557948162,17.649776029358545,18.178135906154253,16.229787906889893,21.065353529200546,22.75261016047175,21.71855004368764,26.04104838988163,28.68604793727899,31.036168333779873,34.41100889424121,38.100802752218875,38.97995648851269,38.26994242620143,35.07521906928923,31.332150001140292,29.505252288914022,25.634886996667223,26.09827989281927,25.420924393206775,28.21617823085775,27.613316344634022,30.87028557364996,34.65790756194549,32.64932581831355,31.07071185141652,30.1962391559414,31.235291494262675,31.115705867447282,36.74337320401017,33.94428524424881,34.84907565001833,39.16326158848425,39.03102893895239,40.981094330602424,40.34989155098028,44.3665020932197,43.09012903305418,39.06635260102453,43.387151813586094,45.202532209783136,44.39318172586935,46.507227986637716,41.25163249672204,45.72396332039785,48.20318646709719,44.287700864848205,43.26506237034892,48.106016072053706,48.07036444033905,44.20444861148735,44.975489890390236,42.80243138802221,44.618658045003066,42.47493581848669,38.66311078972771,35.80246626205732,32.590181152742645,30.008489023048213,27.445392925437364,26.819252422795508,29.165510001061797,30.83522603941911,34.49266588583279,33.316221714875454,39.41497879334824,38.53540057292352,41.160315464132715,40.321264814918706,41.371493103981365,39.464278273887864,39.34595758801456,36.64553991249425,37.6724296173135,34.76523964795155,33.29492964656951,35.23552327858742,35.54086449915327,35.19649031795416,37.846822742736244,35.37852319132375,38.10545569921634,34.53094269247339,32.338857092753706,27.60986075100391,27.765487676128675,23.436156380861615,25.995771450116866,23.342550932726706,24.672848912272016,26.810498460473642,26.221097773525234,28.334218643870955,26.86826608365765,30.611019944114197,26.0165720967379,28.86522216806863,28.690297753710006,24.750662127833962,23.63081074560129,19.034093275930537,19.251991861929763,15.297774037548026,16.463539109641243,16.33762776419916,17.401197667477987,20.57439599746447,22.064909485496894,26.004303190385176,23.346209512260256,20.6197110579957,17.319640791380195,15.891748671723526,13.463037902960636,11.04201726401515,14.599832540613022,13.871586590149732,18.061032809690214,21.080447654691078,25.349258631207018,25.996456273071175,30.11097348043161,31.017502282668374,30.907900584901576,27.736132505649298,23.599995323590473,22.58930528120284,20.556646955714285,19.223788382746488,21.598348598666156,24.054182419585214,28.44711349178456,27.016124312742686,24.523185177638467,27.356931772009048,25.098116244171237,22.227849773655713,20.836126591622033,20.34835696322237,17.062199660010958,18.54986159234516,17.28446348919681,21.979405779271886,20.880387892575786,21.526011230688866,22.691378477205433,20.944351392431617,22.12210812807336,22.859437984170903,23.403189919318432,23.81739377136452,26.406071220135093,25.68647562695031,29.91831292857906,30.901796376426844,29.016371781704116,31.42520503244654,33.56129259531958,31.107595579344732,27.545678023053828,27.410820683021733,25.06182514596922,28.231356554758236,28.97360268101246,29.4722764232012,29.938877112538275,28.126489490159795,33.15000725853806,33.36737847923968,34.12048581725831,33.394378481512426,29.39839804594915,34.13618379158531,36.79433190574022,34.161640458196054,36.84201291524599,35.53903724900685,40.13335674717219,38.43471732989797,39.950988666599706,40.30138058792835,37.1897425399291,36.80120299401017,34.549132287136466,34.71852012572307,34.949333427753686,30.214680969892044,31.224643302321383,28.66479113377351,26.712684570267687,29.338962544064685,27.10875055379212,23.49360923177558,25.11081672663453,27.18598154709266,22.679699262807606,20.632805239238124,24.681607183385346,25.478044863246875,19.738701753115603,21.40600307050791,24.19301565261116,20.842286693597437,18.41629606426906,22.962038606018186,23.20439889505564,27.86939451203779,28.92445895795787,28.577644862449905,31.338109037635924,35.99223814356425,38.937743465935284,41.04310854660577,41.45521179025778,39.515910883487905,41.47450061661986,38.61388968076199,42.817384579994204,42.20151852263761,36.13113534598172,38.39709977385255,42.33719421081023,38.666173634643975,36.17653953836747,39.35911369221834,40.283194351290874,36.246445283132516,35.062848388131364,31.52040358863649,32.64770750616881,35.34776693294497,34.14411838166273,35.479275854180294,37.81201859794242,34.672534495467914,31.504078777631324,33.32257199533117,32.947465868769186,28.359994288412206,28.012866668008094,29.46618138975161,27.051522038814824,24.72897610889079,29.549579751934193,29.357287936266843,24.83478944469957,27.30683993519212,31.304863645782415,30.735054619847705,33.4615256477663,32.37685033098426,36.333806147801525,35.20869264061784,29.850709572403293,33.4486592993569,35.42145513088282,32.43179347043804,31.06054818423274,37.061170555139554,36.309040342231654,31.318538444181563,33.59211789144392,38.37572523003721,36.815131434590036,33.05538194500956,28.504406795422973,32.80244944365125,28.946912072699778,29.153077026406333,23.850672103101935,22.860819634325168,18.17563134132717,18.968324490168854,20.726369246101612,24.291388914636418,24.49339662386724,24.996748172235097,20.50696611103537,23.06589599808196,18.405461787478174,17.358325523577104,20.92389958238583,22.6326388670045,21.92898440824106,16.769431211754952,17.64370498721932,18.224268484044046,13.679123662487097,12.568178768462225,16.967674759893765,18.22030463677294,19.44682240990942,20.698446898451856,22.146850228163625],[15.630794989312006,15.26078953129195,15.993630023908908,12.989548749439075,15.155026442582063,9.54399208076748,9.571501597483904,10.917381425621764,7.693309016546381,10.25105136515729,11.575085039692826,13.62826736718035,15.417692477818788,13.647271070933053,17.859135541373465,19.74329756188375,19.71470686879773,23.99467440850795,27.328350061285107,29.61041202292442,33.221347182127026,36.99209801090986,38.16224697609194,37.93134841840669,34.676866332340566,30.80501975053636,28.872916361840986,24.703461894815902,24.326662124577208,23.042307987424557,25.145566812549145,24.39158738230748,27.20047245721448,31.24331673381307,29.67162788592291,28.61406851961607,27.741233548819718,29.624617989878672,30.08373063432745,35.80167939005377,33.55875185959563,33.95036559884456,38.195991734705146,38.60384754210348,40.87260438565396,40.73457240358231,44.6817654114165,42.93165653081719,39.26614963840696,43.787721701597356,45.06440044467491,44.07623429245516,45.8306543514363,40.45858752056644,44.4487790084035,47.10429044701102,43.30664604300471,41.7074614905589,46.50294389798982,46.938358709864396,42.81444722642804,43.078913068279036,40.552952846536996,42.71533281603721,40.928850029466794,36.906612499669166,34.110273913663555,30.485211472385306,28.194022243803317,25.06656134382493,24.855494994398803,27.110096736349863,28.312474981037713,32.29570135364263,30.674720650169466,36.60129305844193,36.04664258998965,38.25733268867934,37.72726470540554,39.164433601160574,37.19748667075715,37.63509626036519,34.6545382227134,36.29905524319943,33.73609631501759,31.663518650091657,33.48573704963002,33.14497431302144,32.89507269041428,34.84084770564815,32.375219353807516,34.85337291280481,31.078171497031317,28.615409042195328,23.967430808553093,23.771547207738887,19.545889549512157,22.026555764388256,19.357405299286253,20.46611176656888,23.285155501414756,23.11440148434672,25.67387272722835,24.756430350687065,29.241231343524333,25.076804997603517,28.184904616566257,28.734492178401485,25.096808820198547,23.11971831976478,18.96219468434312,18.93009318417201,14.528548233477503,16.419328280344224,15.511432686347828,17.536666287366785,20.097457101817476,22.416883074936642,25.55245528539601,22.13012262451074,19.84419459678038,16.42935021100522,16.41376000856512,13.898958833786494,11.32706416850274,15.737645004465685,14.981391227453763,18.911075687287294,21.89427229981804,25.613720207567262,27.262780485499466,31.018305112815572,32.08825300754029,31.18073298069186,28.737728039926562,24.513895824513902,24.58050603901219,22.302764816292868,21.07772082528756,22.72303223513536,25.58045241188488,29.502616752929693,27.34805946159694,24.810319332575407,27.178623014648217,24.191629010214005,21.68897528240985,19.575818108193353,19.064717767297683,15.187522834296354,16.594092738265335,14.148506063692688,18.767104640214104,16.967353247430694,17.28615731496175,18.99337841737288,17.62706169282846,19.497074823581013,20.351721392267034,21.94007623637613,23.244458592781694,25.334856669793666,25.726757118737144,29.509453806739234,31.379449144478272,30.283119712048578,32.77078938742683,35.395088157824205,33.225182305582194,29.59247708410651,29.053259521008275,26.26518024268055,28.640737062261593,28.73679516448062,28.569513752313373,28.492304450154705,26.16715673951533,31.063178380629115,31.950754402671777,32.837359194503605,32.91664362235744,28.88822467596036,34.124770227919775,37.07504732278264,34.56065093894713,36.88485327383877,35.31893852445494,40.282414548984825,39.148727751916255,40.716066366260016,41.446055305583585,38.08436334853331,38.08079906641573,35.93076252828997,36.128685066412736,36.64538817828759,32.071055008424636,32.85763990802617,30.57105770298095,27.945066070707846,30.67673471617889,27.81554103925154,24.51308595783975,26.913141935410213,28.47327475628999,23.73541482628194,22.93093384383001,26.667463795422094,26.490326394782173,21.336997915744032,23.600866381425266,25.916395101404227,22.05183558450155,20.58062711269973,25.381146321507913,26.02209191190202,30.03592737870083,32.003766551960695,31.1052229553346,33.48089779272163,38.12871398259926,40.77490543887156,42.9786679887108,42.89734690400359,40.90000339763005,42.543155134126124,39.40789035291182,43.83821265097601,43.66130724849554,37.65662819163874,39.62768562436751,43.97897525861234,40.6865280391051,38.0049489430741,41.04948684243498,42.61549320043437,38.76779335237076,37.173403978370104,33.559141546225966,33.79328381719027,36.33045498853479,34.905877284642024,35.63634397120999,37.66101774037974,34.15684207761432,31.605607877035474,33.342682756790296,32.27523266848277,27.850676484346618,28.183330183185593,29.108256207133252,26.405210066735656,24.85319067112454,29.74202226140208,29.09362889176574,24.750613487584392,27.958757861096053,31.86084682137092,31.71669773925091,34.20972817681019,33.02841819523254,37.23593031495742,36.479617478141336,31.343132909459086,34.83999343425562,37.24471958323911,34.50800063665977,33.1706490945929,39.17364275354187,38.91516321798164,34.112004681479974,36.18711903027003,41.09434581208937,39.9343610011809,36.32573730054117,31.945420118355244,36.55831650586238,32.965555853959515,32.805470570807984,27.639657677598613,26.04387785532781,21.274681850813725,22.895302515532258,24.455503301921766,28.14109982785871,27.97271095919903,27.827886883896248,23.012841067304603,24.871693663894483,20.036198641576156,18.689120734493713,20.982617198677154,22.52761405855304,20.879204510930887,16.41368035219134,17.95818977149361,17.43511392540301,12.57341508724726,13.252023197681444,17.19986980434659,17.429444588712776,18.2615090581868,19.36679124799558,20.88021246203546],[12.514934418156132,12.407475690540446,13.423037153477665,11.704439805477769,14.160070031403752,7.806724467747872,9.211022989256772,10.04308425976094,8.360146604998404,12.241132908936862,13.73371978183417,14.747695218039553,17.08655499805707,16.32118399976319,20.22319638369729,21.69633906466313,22.004797304495053,26.477143701919477,30.140034679638166,31.998156734856476,35.81963695240001,39.343070365594826,40.753953668969245,40.54642708704593,37.11085234590855,33.441468958383815,31.137123957958455,26.955456167793187,26.38356471649871,24.643010505430198,27.25625648911403,25.691623651977515,28.49582707483139,32.80762044431008,31.15199428121858,30.43479840953401,28.967286528430545,31.284659122306373,31.687265136043894,37.041188021089425,35.2455562212619,35.98018133354366,40.08192462394186,40.48220840670615,42.97573694890165,42.754566488064825,46.6434418273952,44.74447512721444,40.8884274046108,45.20589172761627,46.41649700770975,45.21295783031533,47.0610226207528,41.71905124033746,45.588475879976556,48.5641955354202,44.983545845607935,43.29850055020627,48.111781137992566,48.81227876588078,44.879601148613226,45.22715815029388,42.71028475705826,45.19042539656728,43.33601618848415,39.15502127763524,36.82504589476833,33.074502360300656,31.21097601443916,28.041867698612776,28.121512139503494,30.547594870121294,31.414283663967883,35.31979231537325,33.30611668251974,39.10597152027094,38.29412959738217,40.252916875649426,39.53330447678833,40.85087972550286,38.44992171421685,38.74330587129019,35.31361282086806,36.86838472527179,34.594476643370875,32.676423120364774,34.98406657403988,34.34933214659638,34.73341972967303,36.49424004677897,34.42244604602774,37.08635434979463,33.26297071573291,30.51045200371158,25.935354876995603,25.841456980650875,21.755351753037015,23.365463841218805,20.264046483887977,20.32731899728045,23.658174908628865,22.52563335956273,25.751136717429873,24.062023409086866,28.5809551938799,24.13625491228297,26.69842080516136,27.339797885234177,23.490061116885,21.567326771527558,17.481465144881373,18.473094745961976,14.501662814445792,17.22865579232467,17.305786281895607,19.637839867774467,22.490714503971322,24.9914207967333,28.494043212131185,24.95585446793572,22.922168996696225,19.38265162614482,19.228872454083504,16.261728102080998,12.987893000533196,16.603936090283113,14.279323879590638,18.557237090431883,21.015098709703203,24.853036946494875,26.349861499796905,29.874305973897265,31.481897505796734,30.538056955112484,28.524983276230458,24.59627819939675,24.425529563977626,22.940187929211827,22.376305654888245,24.20829943742413,27.65921982944977,31.63648882745412,29.58246620415247,26.744023059695603,28.930459736345174,25.882040226281923,23.307413634185142,20.771444223216978,19.535289071870807,15.450307026959377,15.710078940370963,13.225822405372927,17.207062190451964,15.098951385259873,16.452556892789563,18.352018173482588,17.66304217336564,18.939454320091304,20.725161067140352,21.716216477134193,23.684612657549835,26.356802342376497,26.99778827510224,30.616289553030125,32.335092799746654,31.42794516329742,33.3951211178135,36.16596826783863,33.67118779172755,30.304332084494508,29.468900339299136,26.982304146397084,29.201189164729605,29.158803766766063,29.019151514043447,28.57555815163267,26.689886554488403,31.18490404582298,32.381059748927456,32.87163821666557,33.21101434409445,28.638255245156774,33.88616920256236,36.96446695109716,34.74148912884241,37.54709671022311,36.39309398311005,41.28104908926004,40.4878528206118,41.60765647609035,42.13401869453588,38.59738204087823,38.22368823558228,35.79268933843038,35.63767634388935,35.81895533336934,31.19992134618801,31.509947974807332,28.911524736806868,26.102772304805605,28.342777965852818,25.2798813549972,22.256360633193914,24.510605569929584,25.612735482237508,20.798957508413444,20.469285225230447,23.775437790466803,23.114536370523112,18.131700871369706,20.536804784143726,22.52071338333658,18.465896923779905,17.410933494480076,22.251823347543784,23.172331011542433,26.742750800425824,29.33955605862754,28.203616992195613,30.28411493535197,35.009507319138294,37.41190101542033,39.80906266056331,39.643091169954744,37.814755608090444,39.517251742519555,36.54094583924157,41.11323660382943,40.86658045343858,35.02582999414019,37.167064388400775,41.59621890621023,38.3652196835884,35.865496927869245,39.101654324222146,40.68762083223873,36.875288464270966,35.66327897071862,31.63332304017342,31.909038055894708,34.150533575942205,32.298612749709626,33.028409709548,34.72519709447539,31.44667374747525,28.952775109703758,30.207288977161358,29.130247795760777,24.884300615463346,24.980867178398924,25.599959554413324,22.830046575370762,21.302066482614894,26.085188521675512,25.280965143115186,20.892558819540813,24.216342713202586,28.08789321016908,28.119116143151903,30.67936896900315,29.70884524310905,33.98368131395912,33.0997314741642,28.164737645688355,31.852280865510565,34.22784280664066,31.533032802661413,30.54197739546718,36.48991290361476,36.250222618364894,31.688466923880917,33.97204700184302,38.74443767713257,37.64902081056433,34.22402700528194,29.93983288119395,34.694261249153115,31.289529510470647,30.60676312880346,25.668710737142924,23.708702398252814,18.913047430029977,21.212717012642813,22.83618055484255,26.65946288355496,26.51772202122788,25.88208100076373,21.37251694711922,23.23832662999188,18.77718315356913,16.537986011938656,18.589669203497206,19.624196214386238,18.151363278333015,13.907012788098612,14.802912877075558,13.935920744569518,9.648646641923076,9.967500406753807,13.484526487160831,13.544542528716647,14.447274424715449,15.77132179164698,17.432721943113375],[14.310983627876961,15.1536541382842,16.88102102264813,15.686317313871598,18.327053019429545,11.764805584144565,12.86253990939922,12.52343019757172,10.258615100023057,14.164595180828796,14.57230855575438,15.018258039748593,18.571099329174967,17.684159222362492,20.872702177515063,22.646617909995104,23.724749630128112,27.950090624825766,31.886502255063082,33.87901898455595,37.716754305972984,41.37359950056689,42.85374669755952,42.92783089834213,39.57202261735703,35.768727677094226,33.59727536628676,29.303218342609647,28.240287803976337,26.17750700669919,27.894645107610224,26.42762537645876,28.621251644433716,33.10050673339756,31.986834873597456,31.70793889765388,30.396689466724098,33.279676630117805,34.09296329658372,39.51566313002734,37.98873473363906,38.30420899203713,42.36672867126847,43.10588050381282,45.69133416720752,45.755117934355994,49.611125046389844,47.51476743197845,43.923683817708536,48.36847431244443,49.29574746447219,48.03031657784281,49.63246995964094,44.248242093971655,47.77500302507961,50.80084324601368,47.27713756435068,45.20955977273876,49.94586605629677,50.92193495958351,46.76854272667989,46.68077967933459,43.8764190201743,46.49338828242299,44.981899856581656,40.74614612638225,38.26905350480465,34.30227184698186,32.451340404446924,28.879024480709138,29.091441175489017,31.157330626380368,31.897185533231614,36.12979413299039,33.99319049108464,39.581147298578756,39.253109063200675,40.86847130089962,40.53785278766477,42.22978538630084,39.89412669142922,40.6664812186475,37.09176073107786,39.11027165132834,37.08495224104764,34.74717850678039,36.85667394575916,35.741060720867836,36.06646886576153,37.16512020083288,34.998805441690806,37.24001950200609,33.25755625157171,30.33847509266106,25.976029590172413,25.299274836713533,21.484533445665416,23.22330202502001,20.266518735593944,19.846141554101333,24.140757704856522,23.374633530768044,27.090985273326606,25.832544658639932,30.853542107576608,26.752353545590594,29.29020980842499,30.379853340754764,26.69699603914031,24.368132209749447,20.68166411599705,21.682595967790267,17.64218263142986,20.584627926637825,20.0957243129606,22.721098824991095,25.123395275943615,27.882892373111712,30.753245417927648,26.898009447749324,25.02184926042945,21.59979597670991,22.132599632794733,19.419234196471844,16.424529929233888,20.401836117300473,18.19025005284929,22.297742888219258,24.64373855096863,28.182434682500993,30.06552836916564,33.36022815139395,35.113961506460996,33.80714472614862,32.19041799855142,28.273607346406997,28.458903210708407,26.879729815863126,26.229545471297648,27.79106404583651,31.157928071247262,34.941541271093605,32.569225093457305,29.84546167397541,31.83535409581863,28.4376594288104,26.140056076255295,23.320797236978336,22.169553170135146,17.846003035437604,17.8874341781782,14.385478187516245,17.729567748537843,14.250123876792719,15.750441185572797,18.58078995226624,18.58487251310611,20.43371118711256,22.37496205687083,24.138209896625902,26.64897704012041,28.922198652551153,30.145785885530596,33.508468020596474,35.68826255806994,35.086798387332934,37.14267174618118,40.05344576006896,37.68078105629939,34.281719646660655,33.357455476732085,30.70980859411839,32.591635376602845,32.22613728189883,31.69004090327676,30.876510120318333,28.642184978234635,32.938811433108,34.65078107401897,35.22227225655776,36.092837255971,31.539626606836837,37.01097824261739,40.22634927134389,38.08935984080213,40.67226573850057,39.33912347738976,44.40308788788532,43.84112999858463,45.04970587838307,45.759637847466855,42.14500532959752,41.94275290431612,39.55661849892401,39.386356355986464,39.62160096021787,35.076001925041034,35.205081556568075,32.6136359217574,29.558779024952308,31.574984571149855,28.205126223055586,25.523963380557987,27.885434492624746,28.509052647914274,23.66715878781683,23.923435268569307,26.779672104000188,25.422452028881676,20.835766908713527,23.28739779920955,24.728339308180654,20.365876195988843,19.797660786801632,24.47025211072483,25.882794384170484,28.864987065914946,32.28087106922512,31.067091606746395,32.7469827456812,37.595453676613424,39.572454201202305,42.30588643951134,41.98961271090476,40.36726532826598,42.01894229431131,39.10441362020314,43.83669558150196,43.68980148025223,38.0481296455331,40.18644777501535,44.766976016486275,41.69599415860228,39.27283128499629,42.53791925604995,44.289607070488444,40.549006513722574,39.41773722544801,35.235334421030416,35.241105837431974,37.258504909794006,35.088696521444426,35.507338927285545,36.76084647117314,33.46753983203967,31.43612092590694,32.23855867555751,30.721371999632673,26.847648880319493,27.133801086938725,27.063291710680488,24.067527274640625,23.09836010814432,27.603035943968788,26.231369993990125,21.910121924464445,25.686485529493257,29.39747538283996,29.93389170545865,32.54486230984357,31.857673817956613,36.244604524117705,35.294493078366536,30.73505595123655,34.56891792304185,36.96667442487413,34.35490772380032,33.7282915260773,39.5790356872714,39.36497715484762,35.04881847727799,37.484077373557355,42.136310373512636,41.05889101210643,37.77370477590012,33.532936615620514,38.267933434179376,34.86883715678246,33.8315224697719,29.075485944374343,27.08452186396057,22.291093267477805,24.80721485998931,26.62990971705717,30.498486473848477,30.46661827741357,29.62473127330487,25.278589860320857,26.989897514053936,22.657827412187267,20.1048402321624,21.466554349987714,22.050966234269378,20.136684243657502,16.718065235450553,17.436749108678473,15.60435334249017,12.08242168733447,12.88257770821418,15.321424231263729,14.18631775782798,14.610869626935106,15.670569323247664,17.10975880455044],[12.045224861303728,13.281514789344584,15.220304622823484,15.480716513912276,18.121099899440857,11.610792584580741,13.623670367224127,12.87650700691175,12.141266209315683,16.652467876457777,17.36414857331214,17.05523487486112,20.736417496630242,20.664569338149807,23.68423698570443,25.02669562278995,26.25385200478966,30.63242539350562,34.78878184917584,36.37864188209915,40.38495848608073,43.78223025522852,45.47382159851942,45.53593125869305,42.018524723097755,38.425573944337586,35.91702055186147,31.65592509947384,30.497687246752335,28.102926043537398,30.372793344907304,28.17199028031641,30.394647699989285,35.04626716140936,33.799218169410636,33.78867917726838,31.92315500854735,35.11118482096697,35.82112722833299,40.85007079334655,39.72874269442738,40.3989073392919,44.30904821137849,45.00370622408624,47.7790784269908,47.739139442494206,51.527578966529184,49.31632532570411,45.54354341124486,49.75738320639133,50.63883653502204,49.17475307864904,50.879837094351444,45.56261233593631,48.97843532671272,52.29560092580361,48.99486304881005,46.893943948773504,51.629159558380316,52.83109730028475,48.90131228894808,48.94273597683476,46.19365871688393,49.086721080759354,47.47506583304339,43.11445429965299,41.1003649285382,37.06868384552831,35.60604081670823,32.08245194101495,32.5210923626822,34.79444745704146,35.25554192125853,39.34473586470029,36.87907965553322,42.344667320467465,41.70908452594015,43.117080142397036,42.55802036646685,44.08013668774162,41.335659813379166,41.91508056206889,37.9514738820853,39.82125734161526,38.07821088126704,35.950440574904675,38.516947757247976,37.182205033296086,38.113630197309,39.106188838137534,37.348455505799784,39.80546420940273,35.83650482489542,32.70174372235358,28.444181498305635,27.96727251648458,24.314451543634775,25.192261626905374,21.898056368866854,20.48982857892341,25.07418984937035,23.32038817189206,27.581510626985608,25.552125949525486,30.465924818807036,26.172793937990942,28.07750405903016,29.239463166475876,25.444333414352084,23.23998053023296,19.80520031047771,21.7442602554619,18.289343120911713,21.784322010884782,22.14254333427348,24.925403519261742,27.59083452818845,30.448290367242024,33.69866511365969,29.80592868670651,28.11597994108746,24.589495001537216,24.910159087453348,21.849965865514967,18.393382774181106,21.627010871582883,18.22037097067958,22.424164483801555,24.194352824456473,27.735268362910176,29.425199741839673,32.41532238666523,34.66770949417229,33.35210888851365,32.17541115467952,28.616293532252644,28.57799847624971,27.741696261165405,27.671427050376504,29.381540021572953,33.22847516538234,37.052681356571185,34.81144164363262,31.835830203609763,33.66891138762752,30.289732122129987,27.932216103096643,24.835685730432104,23.0783739365201,18.767301548200194,17.7488318637573,14.47068526135854,16.8573326703928,13.182376149267307,15.85870794289442,18.69923953936489,19.359155684583648,20.49914692397643,23.262091069132254,24.352096032376775,27.385541732345366,30.172829329835764,31.551907637117083,34.74446060448754,36.726932967996085,36.287408591461194,37.83862203551279,40.8529098379496,38.19929976502366,35.08867896453288,33.90635947203246,31.577890887607435,33.30335818184902,32.83272725715042,32.35607789664639,31.22812326534815,29.48493135406498,33.326681643574176,35.28021203983431,35.45062373040386,36.53260949080275,31.523442652365244,36.90620061864539,40.20096426383498,38.369342000634354,41.39771695504046,40.48185808246671,45.41988619121603,45.17226198947807,45.9407513166295,46.44088100435474,42.69377026061549,42.13003855086831,39.499071315604695,38.9880087804716,38.89159222651081,34.376339134859776,34.02615026522653,31.17595592869775,27.993193938181275,29.436080839289,25.908852260314852,23.638463204731014,25.78788429911635,25.854045544955582,21.073891807526806,21.929005741406808,24.169802959628065,22.20735354966362,18.059818588315306,20.60322040331084,21.539202421712588,17.031632132427994,17.125597779305608,21.658029212203665,23.388292443789013,25.72146642636886,29.838029980821922,28.355753733504255,29.64091019514892,34.503434669815505,36.16941958338189,39.0921743757567,38.66325092674168,37.246156272846186,38.9370559930521,36.226200736832645,41.067167030160384,40.85689768876664,35.46757820230111,37.752804154786645,42.37167045403557,39.41195278602617,37.21087296232406,40.63003453147507,42.39323439542811,38.74482465482683,38.01100221985832,33.47168886114393,33.500660902363414,35.165580822541905,32.56027366131346,32.95645328889025,33.80877516305422,30.817055324144196,28.907141925668537,29.122855063096683,27.590407062563436,24.02621249191795,24.046677989328245,23.545281580903545,20.49534196738841,19.654316456496435,23.908796562006152,22.30256265490443,17.999015966982792,21.9336367029912,25.538640370392713,26.32496360379865,28.971450942829083,28.551219821715648,32.96461769445024,31.89171220215932,27.659642499145896,31.640592059170004,33.98430691650478,31.47331647335891,31.24676820259445,36.9392121017619,36.7693163428248,32.79240757924323,35.39611898489025,39.84418343043224,38.86676305989742,35.8293022577347,31.776494062389574,36.58735267787105,33.45808245275555,31.887103559308077,27.488879357325263,25.143619745906538,20.514708721816888,23.663107146785276,25.46771925034653,29.362107317911768,29.338463709917026,27.999021436301756,24.097873699800633,25.73237830477304,21.938864764581037,18.616631671058705,19.567692380867285,19.497754878340555,17.82969710562859,14.989012046051736,14.867928525691404,12.508148041010598,10.316284021355566,10.71036173170499,12.011203392922969,10.318602846894162,10.744956197967719,12.09031518852461,13.753234831327996],[17.376868846116192,19.13787291628656,21.247537309078204,21.551748801177922,23.975780496919043,17.238954096471915,18.463653020126536,16.676329421659055,15.214716890582071,19.351033539559882,18.848516932819315,17.809741126672847,22.672719827768578,22.554396903417235,24.51487634425663,26.10668827139264,28.2789316382294,32.233719539926874,36.70803137132205,38.38306906669819,42.380718136667156,45.88634813649605,47.694814076493294,48.16812316543499,44.76578751003401,41.052226650720534,38.70892613328,34.3572492797996,32.55801560114294,29.78735899379724,30.857694790464052,28.797488816214496,30.122003424658175,34.8731155972888,34.38523597132727,34.98172608724501,33.3538154821435,37.242767734489206,38.50491342727254,43.57130789927399,42.84437653558071,42.92552074294742,46.72810511556239,47.9050846446554,50.813153320408446,51.201176911458376,54.91320170669155,52.40142496599221,49.04596234208976,53.43130137487008,53.87431781346801,52.330789798908164,53.653402555463394,48.313232085761136,51.204845433227476,54.56374815610995,51.375283164155974,48.74282528194363,53.322555992384515,54.92154812332316,50.72322557082934,50.1595696208477,47.04666747365985,50.13476651962688,49.00684015018404,44.604474566165244,42.487328133396666,38.21490408175057,36.886600210919006,32.92458088437078,33.60115472405069,35.429847879147765,35.59741432658854,39.98806972634207,37.325215163667565,42.37453766675039,42.357592441023584,43.246430965655506,43.21108624250029,45.22010358737699,42.598045001414604,43.84324529368363,39.75657141025768,42.26174594064359,40.87349273317444,38.17842112195665,40.419777607985445,38.44392863658915,39.29597685025493,39.355882940072796,37.54579449093843,39.4104148486869,35.32145358189767,32.016824019870946,28.212427793648587,27.02845549424422,23.951347852799202,24.800066341951688,21.86406555218712,19.850839302671773,25.484166458771046,24.3951429830738,29.076689626027697,27.82232242410058,33.30034908088174,29.656162085525523,31.659884423285128,33.42752062414001,30.025763113534047,27.252564931478553,24.41197875263263,25.993817374011222,22.42449650435794,25.999089402686778,25.59268204524564,28.710127696496524,30.758606548445076,33.95860075742823,36.3576247536313,32.08756698299192,30.695423092347195,27.376782130995323,28.565642017851975,25.80685491884333,22.708245165989847,26.429560810331004,23.504692303467188,27.36278485026891,29.12351058278901,32.15280280895483,34.47348089293318,37.16302043728041,39.44919152058553,37.58784851255957,36.91462176271073,33.328191685530086,33.920967093060426,32.777155589233104,32.5373583910133,33.81094507559115,37.56467467666027,41.06306385185557,38.36241492364886,35.55381963714836,37.07981540486901,33.26636321051839,31.319765219628675,27.9276375130971,26.38508944354454,21.952718099721192,20.925943214261633,16.651675489097677,18.083152706678018,12.879518903426867,15.352117917142122,19.217683104218658,20.706262591396854,22.588447401342954,25.307921750873135,27.451428317219047,31.040147257808243,33.18100789404137,35.332451296324074,38.135176824889534,40.78420321441324,40.81141744524834,42.53815751205751,45.77471724723121,43.38041546987209,40.18065722689225,38.8768765175558,36.254365652412815,37.47727967628507,36.55897111454298,35.523897496195396,33.94925481759412,31.71478369311287,35.2367976738411,37.8407834571717,38.1753668831918,39.96840509391414,35.144476254785395,40.79068095737917,44.240243415512246,42.49921924970029,45.10312983158738,43.89584055230525,49.0680406366875,49.16408864700095,50.087579696752606,50.90219108037616,47.061403094610434,46.83943673501405,44.35192065697759,43.91025731121876,44.02285400807933,39.67215250461972,39.211895057485954,36.57091302438744,33.06740874459151,34.45220001935011,30.587507018709633,28.712605004312362,31.191551481967863,30.81134337589156,26.137962077609906,27.679091845666612,29.538222199008555,26.862674345748765,23.443766334318283,26.050532646688627,26.437219087437565,21.84588823457212,22.529798455449008,26.745479093842302,28.836798765010872,30.49241025710496,35.31817557964622,33.67913800799681,34.52433175340274,39.34023354369605,40.521154973005764,43.68020423426954,42.940761760516224,41.681860241347266,43.14914362924411,40.40757742379062,45.363980419138144,45.43951837720672,40.31407601766686,42.40350597928189,47.227326434493676,44.57806649860116,42.36154023010584,45.66604190238839,47.78232304389527,44.29131830099419,43.40114483715437,38.86366678734576,38.342270147111584,39.78679354391347,36.965873035986455,36.82898931561031,37.17461530235437,34.06163354903847,32.89030198862837,32.74565620656625,30.546085718075933,27.543839172067283,28.078664396799713,26.78952600161675,23.591613772434435,23.693770471268593,27.471446105123505,25.219119501462803,21.42016636170168,25.800049296561973,29.00526912652486,30.38156345148706,32.84632625260105,32.61551400864248,37.077870484750164,36.15834286859585,32.44075301662231,36.33933916947453,38.81983599410373,36.52951255054193,36.53846316045204,42.05161004415725,42.08726421706265,38.38709190040569,40.95233720823373,45.31731556520037,44.49613898537584,41.61579368104771,37.67604041756213,42.48726880379835,39.4225596555127,37.621254745485096,33.40242981430955,30.999296656557185,26.464306774008715,29.705376440651406,31.552811452669598,35.44420889346325,35.383299107259,33.8479637337405,29.93200287201343,31.21527442328127,27.42733531090286,24.148444517196356,24.20358043058546,23.83945375865824,21.486994698813866,19.74919511050138,19.94924456470831,16.753907851769696,15.147120396874183,16.52778339389139,16.99513131890586,14.153696772255703,13.803444661880885,14.44150588816923,15.454860655160788],[18.94932113535693,20.127538375713705,21.796685231818877,20.905160929885547,23.049604506842226,16.268554781641413,16.593831865528937,15.042358605648444,12.296534242861366,15.748501860856571,14.83959162566963,14.436098482980164,19.186088667590575,18.391544443092496,20.39674330111647,22.371453366016564,24.42880151738539,28.21291761463821,32.4987014213698,34.50397043585345,38.34471205576529,42.063926052615614,43.68886027145818,44.18546131736915,40.935724611537644,37.058829855701134,35.01303302512615,30.65385309754454,28.917470595052688,26.46121989124172,27.03393470783473,25.68326110817899,27.049684572780528,31.619163421424698,31.19990215723998,31.500286545830246,30.408236244875873,33.97254224711616,35.330191231853284,40.7527627914561,39.65309450470078,39.39620265260101,43.325562068757385,44.54654257054093,47.28226255848502,47.783920803073315,51.53935286853534,49.123420329588626,45.960641452603085,50.55352388859371,51.024184312438834,49.67550195354829,50.89609605661266,45.502802066136425,48.51140612544554,51.57490665736719,48.17320699164931,45.593817996367214,50.17525981524787,51.53841264478299,47.14434582731734,46.486358376266665,43.345269596774834,46.16635944880443,45.110914777924684,40.828645291030924,38.3116547833268,34.103985648700466,32.46086611428409,28.464366348094096,28.97713596471327,30.661442588354515,31.02523730084179,35.51628480425471,33.13429161777785,38.322246620596744,38.54131327092574,39.668234376765014,39.810526534189584,41.950454039790635,39.73155363820523,41.131307620305535,37.45688566168236,40.078033489646224,38.39749065398298,35.51300364564727,37.3076946740217,35.583234595679066,35.839525712751644,36.06815649964448,33.86136738975768,35.57741035304384,31.48088666638391,28.39392135776542,24.435348474893225,23.114916471334734,19.82860827181807,21.525449896814887,18.910960857828933,18.06155413498179,23.24182805082793,23.1784239096234,27.212761541608334,26.735653923588238,32.2801946949201,28.81860529603929,31.503394953458393,33.17519801031948,29.894297615795356,26.98566507988187,23.887999445235,24.533305873647194,20.457339138314303,23.513241096640204,22.31264077035149,25.31533651416759,27.04160792515842,30.188646344892444,32.17489479644273,27.92453663958544,26.44713294877885,23.270310380312225,24.763302651671506,22.348606218292495,19.724114999219335,24.023934329453244,22.215875365250024,25.895402974792514,28.188633959446346,31.17452170759501,33.73109920323049,36.71427524966759,38.47679127975595,36.60113321270373,35.51076085528862,31.59464830770103,32.489268773389334,30.63853097253015,29.900081694095583,30.944923487784276,34.280580623871195,37.6532318191539,34.80201794943971,32.2383282885518,33.85308521903246,30.019585243209537,28.171852027458495,25.034353655305388,24.07568354767132,19.676498530002924,19.679491554554325,15.25010961390122,17.805247461053614,13.166181644806294,14.192750154507628,17.88924183023034,18.586542985299882,21.163025639693885,23.019313164131212,25.809965898805554,28.87169648743486,30.48830495016882,32.52398978413244,35.442187824714956,38.30112779306396,38.232552779706786,40.42879011749872,43.5897407472343,41.50747233508579,38.048348143756385,36.95815983868286,34.01855493569397,35.32504152607849,34.489350907481914,33.3911576540954,32.14897180014528,29.434181232669786,33.43587423493276,35.74776879781893,36.49247124768019,38.04832712497122,33.703246201819574,39.42801470867885,42.791516738791465,40.746016240061294,42.88542863182459,41.26894913315217,46.553539316018,46.373149071990895,47.71594978846419,48.75376257525807,45.04380999794977,45.205516703594455,42.982042253163264,42.894379728197585,43.376479149132244,39.01786628117001,39.05496718696098,36.725099417329844,33.31183883562624,35.364969474188136,31.642153779222674,29.292795920516216,32.08752078823445,32.34122736685937,27.533855307169315,28.52935313874959,31.104281066585937,29.101954476581135,25.142332942318813,27.80082972630985,28.83527508680813,24.321613362455896,24.369458840791157,28.927943205041103,30.589574912271708,33.04721055735707,37.02277512954538,35.55428191635502,36.91108884177466,41.690355774323194,43.34900831110113,46.18566785525458,45.52331811432336,43.93113228661871,45.323361032897274,42.270669278872205,47.107455209417225,47.29546905220018,41.815268868634185,43.70211451372076,48.51750787033905,45.758066274941875,43.24026186545619,46.35201481875066,48.52228975336046,44.94349362425484,43.53641177315645,39.40248534699811,38.78643174014843,40.64538190937418,38.347258985262386,38.247820678107644,39.150248820755245,35.6404607533257,34.254960351119664,34.896359172333085,32.76873899442897,29.272114379527977,30.120862258638677,29.48505319902257,26.343645015467544,26.171152542152058,30.43614098459116,28.607846756838697,24.67721712588878,28.907518578553784,32.35451213890265,33.3090351928483,35.695915002005684,35.02765590068816,39.50022921884041,38.809390358467525,34.5872481156617,38.282469635674396,40.91413719358383,38.52039324120026,37.97192266010894,43.713715972139326,43.79856910568885,39.67054307786579,41.968493538627406,46.63163416885139,45.78386775604427,42.61702931659323,38.49851386443038,43.3225168095184,40.039597375572505,38.83765721359814,34.20114931123138,32.017198785885455,27.29037066672277,30.02498575082303,31.770731392905184,35.6405662642357,35.45442912561218,34.351730895421404,29.897568002703036,31.171343152549337,26.83443023429207,24.32127280423379,24.747748906625382,25.134463322704036,22.52496172883812,20.07686473973866,21.187964599542735,18.568489167554905,15.465518280734226,17.349326167837045,19.08412842613505,17.016654058566083,16.917691114871996,17.551295656386497,18.66224884061387],[18.165828429628455,18.84610058971366,19.78894690962982,19.310013052201743,20.676505695717193,13.800934002977273,13.888117543897682,11.765293900640676,9.623556681162173,13.574568230003837,13.0033309249474,12.05546848336104,16.780332115711317,16.763605974593347,18.780785826399615,20.30577592824701,22.38413021064885,26.378146674387867,30.8833891783384,32.492996772104,36.50824968700575,39.99578550191871,41.816769265878975,42.314668103317686,38.89897231582991,35.206699906083784,32.84222818160194,28.48647668280674,26.665129701627503,23.97478671361153,25.23287681873088,23.27175594592546,24.94556853307719,29.621659581994937,28.880477002220992,29.23659805481649,27.725232263820956,31.42312022156368,32.69911375781789,37.89443543507733,37.061898614537114,37.04725597299106,40.87607495212591,42.07131892649632,44.972309884784316,45.44384599074199,49.14169759141822,46.600311538228,43.3425764903293,47.81660601745218,48.21289276832454,46.74441956627082,48.01590066902375,42.6459489892748,45.625071781683765,48.858310690445116,45.58257590662679,43.01662471021692,47.628582964712216,49.10564282295041,44.887886846284566,44.41168294060243,41.37813855217299,44.401079525985985,43.17671717812543,38.78182600244895,36.696671050793164,32.44777941573061,31.198012958680135,27.326842811576114,28.091028616143394,30.184467064228375,30.219302638531865,34.45832718482737,31.75489422167054,36.95811760640155,36.722624457407285,37.82562834669369,37.65408756209054,39.57683877964776,37.07236847274404,38.273273267722836,34.4076615915464,36.91617746117249,35.34906916029506,32.58208954658489,34.67925026071564,32.906823070211864,33.57379541856279,33.95082702087345,32.06261270344041,34.16988034572558,30.124929260970582,26.908292739736112,22.84879928951141,22.02436246719379,18.6422523247351,19.568430967139744,16.554106374608814,15.38169193538058,20.406900232183645,19.838740725608687,23.999850516810703,23.21406476974217,28.737298578787552,25.259401424166317,27.897750526873335,29.65966428538556,26.485194033225554,23.450167164457486,20.53124792208153,21.249722444599247,17.36321745460165,20.729394442421025,19.923806908761218,23.173053409317628,25.013857976845294,28.362791087813157,30.628611180696346,26.28482658648498,25.045655642219465,21.73869170228388,23.229389293801773,20.50421293564599,17.568494800207656,21.522335165253565,19.393013446648787,22.877876128481063,24.99308810070302,27.796743743541843,30.533141950249888,33.35367311620664,35.19895772423766,33.17404701051496,32.33785821478073,28.547714012210992,29.669745687210995,28.01531824354807,27.599175694904126,28.52569629884381,32.26980946829554,35.54350000936637,32.6695514339605,29.91065829352531,31.343552798193304,27.460588298276466,25.604636114810063,22.226950261911828,20.94965861590336,16.51821109379333,16.162850460167885,11.722861435251547,14.274874532054122,9.989908881239899,11.205594659865515,14.65046069213641,15.413182097648688,17.697902280823218,19.866289130543613,22.4034728692645,25.72721736010896,27.54757420556437,29.77526138597845,32.539973037407165,35.40184772405276,35.572900504336836,37.53749767530759,40.85359311613265,38.75453171043604,35.41327504236568,34.11101515888689,31.21314628593193,32.277998798529325,31.30909325366558,30.181602716449984,28.807113823929658,26.295898690529594,30.16749800076545,32.52930686634577,33.12317440754646,34.77543545137439,30.286669156881075,36.02415971493421,39.43613194901602,37.5097445205166,39.77065207394462,38.33150551268983,43.58531430297942,43.64630221753688,44.76557678314709,45.776916475147225,41.973416409458814,42.08701067754365,39.82983502113637,39.673970334781814,40.18273031739048,35.92263366448026,35.86395237873385,33.680273557819326,30.102926357006684,32.25432778488295,28.43459604652986,26.156208169719992,29.2465168832904,29.47634706829923,24.7024921873878,26.07388899365002,28.66436911803517,26.58739915024883,22.92116889576696,25.84088318654356,26.952243036565303,22.514973549863434,22.879560602999863,27.574513437363795,29.01501764231478,31.45696130800959,35.259085118400485,33.484621698309915,34.88288327349636,39.456489050823045,41.26083415165388,43.82191835732227,42.949135116531856,41.16398314152081,42.37523449201256,39.1473642185302,43.954775594410606,44.33072404517567,38.82329313950039,40.51804999018966,45.418533415449396,42.81139332545896,40.173629871079825,43.16383409730109,45.572437514593446,42.106355203710784,40.470579737896514,36.41323050310151,35.48253627762408,37.328861281056156,35.114632669621194,34.880649630254965,35.88584112584958,32.23465018256207,30.91264468692476,31.78553420814777,29.588277132785485,25.991836872047276,27.11046547409994,26.65579509017475,23.561282822596876,23.515829633673757,27.938926592693505,26.317565834205073,22.58373065807482,26.853809257229276,30.289588683513966,31.07664719724025,33.19346889596074,32.23185625214463,36.70756641051042,36.34036694430948,32.04448505953956,35.478843015496686,38.338277622994646,36.096010116225244,35.30028768461768,41.01650823334327,41.416364015040195,37.29410558097744,39.31398514782521,44.07415072071598,43.5015496950852,40.378375376255484,36.4163123881493,41.40817626335087,38.36541675450091,37.21333583345184,32.607623646944774,30.079711334336082,25.468553452023443,28.47637380802834,29.887349537481896,33.71767039140567,33.219595768644325,31.854717985503548,27.262090005150533,28.19358546998519,23.914678722618238,21.445758283298673,21.44936323512503,21.93634047627272,19.11218116907773,16.845764374137033,18.368126274670264,15.702871951570822,12.375280456102205,15.072419856600199,16.911979166854547,15.015029708355927,14.96185993718752,15.652014363997267,16.988739343497826],[17.795067339275963,17.84487813622218,18.23730823050206,17.041356157552592,18.02413817557363,11.319588633015282,10.81185339036795,9.187806623042862,6.278574445233309,10.200359889270736,10.133100200050041,10.004838309320853,13.949522858845263,13.671403817642332,16.335106025591216,17.878992007919102,19.40320939335207,23.573700122469756,27.8769111570915,29.57363451474543,33.5479109167186,37.07931299792115,38.782917122890055,39.11553649224678,35.69380112721925,31.977526188755636,29.642580575882164,25.295952010039162,23.790316390839966,21.424788323571175,23.111642864388017,21.40364477428997,23.594328376561784,28.10194284504708,26.98622934339865,26.88520655245434,25.507518466237162,28.708020565945123,29.778678148860195,35.147077087881016,33.9646600045714,34.05383547927554,37.997457182437124,39.00618688740902,41.78803239456963,42.140018370529205,45.89497883704464,43.50677957412432,40.15825880973478,44.669875667723176,45.25581382242046,43.90816087131221,45.295145680921074,39.89878025104797,43.17035770432118,46.248972911120404,42.821230229563604,40.51585653127044,45.204271205528926,46.39798271193402,42.21186333069853,41.98038031652668,39.11050072194083,41.932565298243794,40.503133565332526,36.169201608294,33.975531813074966,29.861757235677903,28.436067331036103,24.776664939641186,25.37982948224689,27.689612779211174,27.912369081644197,32.01325156665647,29.506452139181917,34.976580799210495,34.51062730258215,35.978577889291316,35.61607855965417,37.355023136771685,34.97842516834397,35.93784610211973,32.335318954274015,34.61199876445094,32.73438447975481,30.12287144805593,32.15760375412392,30.816903674758304,31.244223768626014,32.17592755014737,30.146851275613393,32.50744732047783,28.543956767131434,25.532531899388577,21.175216419400464,20.739111336855174,16.95424975149196,18.24893640588231,15.2158035056197,15.068759188284883,19.13304415291875,18.797689357233264,22.333289100522915,21.630094391940705,26.91121780262205,23.28811677857619,26.284900012643266,27.749484681109024,24.543842870267813,21.652356526787777,18.39290490326862,18.599066462793296,14.415028446948664,17.459104502130057,16.512827298523817,19.637951284608476,21.594625440169366,24.83504126887229,27.30744599229854,23.099731703990173,21.708261668465813,18.323397869691078,19.63591568722126,16.88950322977675,14.006153357467577,18.14020103616928,16.567264639922985,19.997130466334315,22.440100578871803,25.370067451396473,28.03418958694235,31.11117894587891,32.63064624307629,30.791772206065243,29.540136839335517,25.57170187359982,26.69096460487737,24.729205491011502,24.119598090218524,25.053376825815036,28.68323493272755,32.014303691809225,29.22182458265443,26.483103974153188,28.080321022696108,24.344704073658843,22.345813168380506,19.19521577588391,18.146660448255705,13.757159341885778,14.12087120994809,10.132374001849985,13.880730903170397,10.993982235622523,11.379695525025861,13.957124454726186,13.734244528330457,16.040791400572147,17.68357394655777,20.107762091383723,22.88340878348819,24.69950985162013,26.556815071886454,29.549614109559293,32.26672808578294,32.2310337793352,34.37451685757255,37.591724456996694,35.57317591268879,32.12589344589959,30.960653354712967,27.980145527520243,29.26237396618947,28.507913943177538,27.57559681745827,26.582605396766276,24.031007960180723,28.31437160339801,30.215866607230755,30.959168275809315,32.17917703186118,27.882101434304413,33.55517162348489,36.85876051729162,34.733585438384026,36.91650658083095,35.38475296927063,40.611829236941844,40.40980837769029,41.67459558475387,42.68575358269469,38.97628035345707,39.171103364832064,37.00880454992161,37.02657227901994,37.67907313070062,33.38298539689047,33.64894151776022,31.61618742928328,28.213648151084552,30.781609214910173,27.198935027125355,24.539170792793985,27.715271746507742,28.462608424004802,23.675029795633094,24.528311850488898,27.621266259572135,26.184309081641302,22.133098930430524,25.02639731765255,26.64751046568494,22.417000405061778,22.3013375429825,27.164844946535222,28.193201842111,31.22415709082838,34.26148314341764,32.608126747854236,34.4080976492918,38.89198441839232,41.1025202380925,43.36004905686104,42.61273530039534,40.590595105392715,41.80531705269207,38.42807193167753,43.08834215390504,43.446538545943525,37.69528678354642,39.305206914260324,44.105842096687574,41.368346718213296,38.5675377437764,41.45225651819341,43.78628946245549,40.25468816747791,38.350240635980434,34.56772182462014,33.7354498618271,35.88492722617973,34.0766177284303,34.03850600434706,35.53014150770319,31.732493445784144,30.049463342009357,31.500431872722363,29.59718516076563,25.586166487459632,26.718502628792205,26.906968086923015,23.965539166826034,23.49417224565647,28.23831634633802,27.083237241528504,23.245222734663432,27.205987091875627,30.81672933228769,31.176551200678798,33.24556342951016,31.97063179949198,36.377551875971506,36.124264017247995,31.442049418554024,34.70757261415763,37.60194206725602,35.27895008157249,34.06765894343598,39.9084054770508,40.308509067032396,35.90000167545332,37.71670458043238,42.64741697671006,42.054661015110476,38.753183608753396,34.71817404040129,39.69711156731676,36.57968753356559,35.86279358020637,31.02959453443246,28.624918392989777,23.98849146854229,26.65053792291202,27.891229102649238,31.651879385462614,31.03505445497879,29.96312775550037,25.071369779995795,26.03888336343578,21.45267829850568,19.544685060286586,20.025855061978522,21.097846606056095,18.40260777358642,15.374718480112369,17.4427037469713,15.524247756472606,11.124998275318362,13.943996506288615,16.748560148763506,15.726101234895955,16.01162272508969,16.842983436478,18.3705360620296],[14.402897775555141,13.987733608828401,13.853717333817062,13.56214545614293,14.265604945194886,7.3946321337838885,8.016914893935889,6.690840254047685,6.431038104638082,11.175064311726072,12.487209425047077,12.182801036262209,15.054043187866228,15.633742151064641,18.796156918254646,19.685812854210067,20.62753366927771,25.148925735864285,29.369095244668696,30.619872958679096,34.71462299632962,37.917215092584655,39.72548234701722,39.789943222051384,36.16433359100754,32.739364257368095,30.003552258449716,25.782390953678902,24.646876587386817,22.266025374358975,25.255037194661764,22.80022397562378,25.547535208451162,30.057840314488814,28.358243646863176,28.113893251673414,26.07717035879716,29.06085236091234,29.66302278599301,34.63089772599855,33.56605153407335,34.355313207975975,38.21004279706476,38.87352462670509,41.73755479948446,41.736091938478395,45.474125076582744,43.167142424452685,39.40346592543733,43.612726626015125,44.42195068263226,42.949215627644335,44.6556061891147,39.337175122516314,42.83023477304152,46.132049384159096,42.84009979937554,40.84103836377406,45.60568243868767,46.75333543988699,42.94783959065856,43.204363374747814,40.62936889497637,43.556100591792536,41.74990496551131,37.36331304947144,35.671878441315826,31.706586574233008,30.56465008878469,27.304081165904197,27.93547373238981,30.655098431237494,30.823330707137732,34.542891341652286,31.90870398121844,37.44276194768364,36.32708273296712,37.90924150956415,37.02345094080688,38.290482029614154,35.48574880257434,35.84458996261796,31.98761109335185,33.718809889740534,31.868412069505997,29.822809775445478,32.475500809749036,31.359333071618227,32.39046781074727,33.80159516476946,32.20877374714627,35.08782163566759,31.27829204637797,28.23974283170583,23.8264912873083,24.018279929811406,20.19201236720365,20.635752032341728,17.173624567254997,16.434822409248294,19.94540116063702,18.209938655801658,21.918849070056396,19.978096098367033,24.80000089124658,20.565067194856148,23.03379680958971,24.202662212616403,20.656179206127543,18.138783175937792,14.629010032358364,15.831802955021919,12.170712003179018,15.769133053303278,16.238600621342975,19.260968281267772,21.898733894651702,24.97459064072375,28.352505747178064,24.422918068883355,23.016886357429673,19.44697025791732,19.909036129576606,16.622475138307436,12.996372062024694,16.101067814738464,13.10316414522711,16.89041663225972,18.916178852137886,22.190206754616877,24.390505246819473,27.431059611535616,29.325961078717437,27.773122612175953,26.576373762920948,22.880828673806928,23.49047603629916,22.309281006694714,22.33031764030135,23.669575956328853,27.826088045927502,31.396421198903777,29.0160054211243,25.936779500654513,27.587370435846577,24.1752106606034,21.841149639625105,18.644258765760505,16.842151761347672,12.540903690388083,11.867851932031146,8.949536736426179,12.52150523570677,10.716188480571068,12.320463626031716,14.047445393827253,13.868530278193843,14.849686411227795,17.307879286609495,18.30882457091919,21.195076558023537,23.93845744458285,25.42190463287254,28.518099985743635,30.641609480598305,30.470373171238684,32.077078222958505,35.28184094752885,32.874963733223815,29.69861312066554,28.360829105313055,25.801429661247173,27.257255061664374,26.68733143112349,26.168867182840252,25.189246753116908,23.42655835987924,27.491558190760884,29.177182595257875,29.45891423578929,30.412203352919335,25.581936126738228,31.053086400791276,34.347113420200465,32.413388307333214,35.24575581052037,34.25836002060734,39.24007725361333,39.10540972413924,39.89759840881311,40.55081201206209,36.76585969278629,36.46573955246666,34.01062723084117,33.71978103170777,34.01839039350251,29.633642961510926,29.610930382277996,27.308527892829783,23.92631411138322,26.223030351035693,22.682314153446285,20.036286506036543,23.043240715021867,23.718101633649376,18.91424664543773,19.876008497020887,22.861807605631327,21.47128691643782,17.44769850308913,20.446517786966957,22.116972795017286,18.018449716291173,18.07041048139814,22.95726655054826,23.837898907247713,26.821118732460082,29.766682141234913,27.94337487354034,29.752880282172647,34.16019084338769,36.464798990729655,38.61799182359074,37.90118871948802,35.86948023053635,37.17002996776446,33.88866001156925,38.55118138491777,38.76701505171833,33.020742572330256,34.77730374381581,39.52391734350383,36.725974953358225,34.03219494344904,37.05857172250009,39.27682423897728,35.736898326327285,34.107127348493265,30.09111583715849,29.491434574626577,31.54437860295182,29.595574334488543,29.802226235551434,31.346270715077292,27.769719736401814,25.75995591915962,27.125941322370565,25.558867050000682,21.396281776317558,22.187489773398216,22.630983850928285,19.795260518391377,18.95954350076921,23.820860359625026,22.96414084290321,19.082656388268074,22.816416663858714,26.487035925038274,26.622456778233424,28.67564496433642,27.357299259649473,31.734323722067955,31.44053890695783,26.680852957587447,29.964562126655455,32.82525333807794,30.50690626961642,29.31447076852147,35.146048855012324,35.56425094220897,31.219288154998445,33.06471127538211,37.94879989552751,37.417867914673856,34.19899138813872,30.271285304175244,35.34218651781231,32.43459832544787,31.552721051221027,26.86639492392053,24.174556773353785,19.658598533970356,22.701502852214368,23.763565976396173,27.527004833155246,26.820546510075502,25.460721735741696,20.74699732975934,21.75571378808053,17.4483104875152,15.024078459546256,15.65135634183132,16.597582209372067,14.352182541058303,10.923073280947262,12.681083034871948,11.053086900650884,6.487676993677561,9.335040781347896,12.278946597987058,11.874956636544965,12.529373647347835,13.788523460290143,15.686529739299308],[14.293775882546354,13.26742437103942,12.787560596359953,11.125590699055126,11.866771059289896,5.305843165040344,5.523021908459686,6.385589607448941,5.336394533287462,9.36816247624115,11.509183380865082,12.435670179256627,14.024344964399594,13.930276665608218,17.897828487934813,18.921640341119364,19.014077716111267,23.625763974951788,27.38650487241837,28.890256344690226,32.820378142728984,36.13578121849328,37.68988954940854,37.4897071667796,33.92795853274031,30.433371362247904,27.869121461633156,23.71916871562241,23.152403443010535,21.364410704818866,24.626089407353238,22.728315199658276,25.88446282612839,30.104647820252232,28.110865725674294,27.29035813328426,25.57752391467719,27.799475241565617,28.0926557408218,33.30764998629325,31.653731358042915,32.56306994695982,36.58741728227942,36.96017030049947,39.57411345227084,39.35992415295125,43.199185524989986,41.19186060909491,37.29479382549702,41.557367489640654,42.69878992529645,41.43195144461545,43.30352550773152,37.97885506373775,41.86811775599329,44.90588922372896,41.39231237090117,39.76513734316063,44.5928319001633,45.321380534064794,41.53194268964188,42.05521515475158,39.67192821643871,42.25049035855718,40.24182847210838,36.01054804670916,34.03459145593038,30.317913260426756,28.795015012094364,25.83575490740357,26.120845037752588,28.913949703108475,29.480436578011904,33.076159568266334,30.854751447862185,36.6472660512392,35.427161161721024,37.44251484443377,36.44383073669071,37.540504648826044,35.001537477091446,35.093212922070215,31.656743680002037,33.06998933950695,30.78729312367601,28.985744976666396,31.46132878845627,30.933241528129546,31.532963297317426,33.55270392796955,31.707149170753826,34.703394394792,31.010919511155024,28.287886854178787,23.671772436609757,24.089772442375025,19.977568662201367,21.06740650015498,17.83772623894072,18.171002860830427,20.7343301803165,19.43124927826564,22.30283432247647,20.52326016273177,24.879672996780883,20.458303280449183,23.26298014254556,23.903407968493152,20.2299758559254,18.15743090435333,14.08188742520279,14.67159945455892,10.631552122037236,13.517059368667738,13.910592966556806,16.471617540330325,19.400971463461904,22.105525613636402,25.814182672851476,22.23224598798266,20.465581475076515,16.85894344598757,16.753589812963174,13.473725523928456,9.863838832495441,13.245968324429809,10.995999927693868,15.000163668067705,17.553252412468712,21.20008695114324,23.01395355884036,26.49899166130573,27.959841242214463,26.8458284746391,24.91305674634059,20.955055711266066,21.220537688337973,19.63655564492356,19.285194931488967,20.87563376867754,24.713937766562122,28.518636629073693,26.381758358991885,23.38632844899177,25.407385710288462,22.338643001262785,19.74736949791185,17.08831704131118,15.700086638262253,11.679544227107602,12.111030667703549,10.22280526024301,14.683238151824428,13.846673092366052,14.690947000562808,15.756265663580157,14.574707805707984,15.536618481578401,17.18890543956673,17.913881041059813,19.820909276450944,22.59218658145079,23.324320701603718,26.847550853460827,28.620362040943018,27.954559915916953,29.84310524215845,32.79303895907293,30.408702220891247,27.05562298364132,26.033014556410155,23.437610786022102,25.430046331885702,25.299580683002578,25.156582546671814,24.767234028153958,22.996290298149045,27.53118383168801,28.574393169994007,29.05094793568886,29.336029223248318,24.79715519052556,30.07387362512539,33.16788321072511,30.944170710538486,33.7161142096441,32.61084972371087,37.50493082734521,36.883357142433155,37.91005962802233,38.50020882660712,34.89522933226559,34.6249966033293,32.26016428755617,32.181615315964684,32.57009976399216,28.060166433544463,28.4887794061711,26.235610659359036,23.264739031312256,25.95795069133174,22.87335947461992,19.71689419405102,22.510782869640057,23.875235065936067,19.13424218372387,19.056019708857793,22.664438544649155,22.206124314298805,17.555082504838733,20.261744595304137,22.527889078720353,18.75587113309502,17.959664411428758,22.890656617050013,23.344544845157277,27.066866458455717,29.10291737810692,27.643069044567817,29.923212570376037,34.30760371258034,37.01122935651944,38.94377770297098,38.532787556871476,36.35959938984969,37.78843949567906,34.49358357300461,38.95271933130468,38.993410231835135,33.013770460865246,34.80895958449558,39.32569912054032,36.2623758170286,33.48539841898351,36.47001558781076,38.3880912528314,34.69632945188605,32.946390788062835,29.213503223182087,29.033948525460847,31.445170651346167,29.946508167968368,30.525142912933696,32.56437640098134,28.996881199458556,26.498822082588507,28.362008235440594,27.257103439117238,22.76153432146533,23.30865328778907,24.407455600631664,21.801890096155176,20.367448367899176,25.38484037831631,24.974651548217203,20.94028177902725,24.166836686324476,27.990385744280733,27.70063067600933,29.84612170155452,28.367549728571383,32.592419298695965,32.21306517436958,27.076748393274364,30.293160681752163,32.999815961719,30.4955943963831,28.961235448967066,34.920094070580056,35.11600363694983,30.433275462033336,32.21016430737249,37.21076836228086,36.47325913646356,33.01688418776967,28.90934999474449,33.84947678399895,30.713149253798274,30.34962581985851,25.37181090510742,23.06446947227466,18.47808051185065,20.868940302094686,21.909612899877096,25.608101761059974,24.95628382506678,24.160086021765245,19.19599389844109,20.55678615449982,15.851910394345472,14.174488452218611,15.905307049214844,17.490917641378278,15.757741172427655,11.31335990583823,13.298493220206154,12.861612301249759,7.609720672865547,9.3860234621823,13.460045973630518,14.066241763681624,15.060390966954134,16.349039825150598,18.166496504454425],[15.96463291648266,14.288101903284845,13.182628412208956,10.027827369356,10.181604253720591,5.553670015548264,4.301344449572733,7.490063059154349,6.056055159210411,8.038265195793365,11.048521180111885,13.138898274053583,13.073390789123206,12.328883981795624,17.00179092798895,18.03285952488013,17.11492551640761,21.716033521309146,24.904147972781768,26.606526207665766,30.32385134922661,33.70001357972137,34.99017791745022,34.5109687569789,31.029492109484043,27.511348366353932,25.130779179358175,21.129046694588283,21.22363784401201,20.147598322887536,23.718731016436237,22.411364988396425,25.96479849693632,29.780868878701757,27.4629226999843,26.02429934397524,24.670986913632756,26.004329368843646,25.948000097991997,31.364482389164262,29.096631134729556,30.129173115545342,34.29066509799313,34.35285130914308,36.693889721570585,36.27212629496431,40.19216851401733,38.49379957642637,34.49844266189927,38.80171634121889,40.26283413063761,39.22566806512348,41.245391916944236,35.95199816439925,40.22602979108702,42.960486396460084,39.23797237275233,38.01954348355035,42.87799868393444,43.162055322809266,39.42644158583968,40.24960228309788,38.10920740520532,40.311670718104935,38.07973630621642,34.04503240720017,31.84074656276071,28.447360576388412,26.595536228412005,24.06938920280897,24.009448141260275,26.91935800167662,27.84118906441282,31.18287098573023,29.396308522085636,35.38640702930874,33.995627620700944,36.457266426983786,35.30794285504913,36.18323796930626,33.94590108035608,33.74139113983101,30.809717993686508,31.87179934002287,29.148062766792922,27.628150654861646,29.875143724719376,30.000516364539525,30.148556019657892,32.826147412750785,30.776516976781128,33.91423821634061,30.424454259982934,28.085640513483018,23.3634985990975,24.10725081750531,19.83725941712985,21.43809131782283,18.550173152510975,19.9314897471698,21.379814981442696,20.562376585733087,22.442296906624698,20.942895277698113,24.709017436663185,20.28810394473616,23.459740171289454,23.58234584203846,19.98502201341022,18.361067154295448,13.987505943674766,13.623927920339286,9.416383904037799,11.072769201417008,11.297715481829702,13.192413061009416,16.414036540721593,18.664770904057864,22.737871917974754,19.611885826527836,17.511080538946583,13.943417432591167,13.120258197924151,9.86123577578309,6.387036569780948,10.113435283465218,9.382970114841873,13.177541393493266,16.30823521960161,20.128414062162104,21.61138840277699,25.48732495673396,26.365239493395304,25.670253133287147,22.98099683971064,18.769740640685516,18.8147810868231,16.628570314928453,15.778060111484352,17.552846196323465,21.00794356042162,25.00404966348978,23.122375030806584,20.248948122781563,22.64036276810106,20.008450003852474,17.189443467322548,15.255370408375493,14.448895743138214,11.083458006875595,12.747617658199186,12.009013329469383,16.974022146695173,17.08988947667977,17.20656273993681,17.542538021774558,15.423098777300657,16.308906505384975,16.989845186004587,17.428128785011896,18.143681663358787,20.813456814625294,20.703582891528804,24.631114970792854,26.04442767283573,24.885338242003126,27.119944734276334,29.800380010704757,27.538764483829837,23.987088324849385,23.317020603999993,20.640326187920763,23.149255574223172,23.480169507314372,23.720222977255062,23.991253114933514,22.22590653341263,27.174071877948354,27.50146764959314,28.209451507316235,27.781847979508626,23.70426277426232,28.69904943731151,31.539731436525305,29.007204038799877,31.609313985854495,30.35088165214055,35.125685598136144,34.00223817025129,35.302273713829486,35.868765961822454,32.48238352476161,32.32773673334881,30.13876927601682,30.35215122196861,30.93286395560477,26.39799497533339,27.376472162037828,25.3553029494272,22.84428771273594,26.030010349043746,23.46541873249961,19.88132427394262,22.534303223607285,24.616318423564554,20.117411889914067,19.0885713615548,23.275126941805826,23.750493537413337,18.791843044673662,21.17589010519733,23.98976968883055,20.69017768800282,19.21745318458808,24.028008107079085,23.950661776444324,28.332862418281852,29.302108842051283,28.163145358397752,30.907285036033393,35.11651176332573,38.24191979458314,39.824621095804495,39.64414171688967,37.26746339736443,38.720945134807536,35.35608747128231,39.53651388634827,39.49794387768777,33.32454243244537,35.021690721032066,39.28602670407115,36.043207400819725,33.12936432911071,35.94591649875408,37.63805416618314,33.86925404711262,31.831120218484944,28.56984130682097,28.67154446864587,31.460596975602904,30.54309546695276,31.40304224808711,33.96380803069311,30.35888325663196,27.484180156354167,29.942434772814476,29.22900380219725,24.47808825215186,24.94846204582853,26.693231827262952,24.36158422016462,22.524108984626295,27.609648558881528,27.657426245064112,23.660806699992243,26.393172139095356,30.26470347457083,29.541946396037712,31.62943692111619,29.898800610592538,33.90724844749497,33.59218878669377,28.14558024175008,31.106927057747836,33.71563987518716,31.12313302651211,29.128137899947873,35.119075457842804,35.20955650377052,30.219023163316084,31.748262118557363,36.86809032068259,36.02281608828512,32.34971920412081,28.163864073128924,32.92443587150209,29.647675896658736,29.946643345118982,24.740971522302143,22.839603201324454,18.40590669888776,19.96875574654837,20.798986474853574,24.284558180308647,23.567591086392014,23.396114950896497,18.172584054455747,19.705103507397972,14.666443854612503,14.175082028328884,16.75224902396409,18.995254287035856,17.659341104266556,12.67409361288793,15.002870810148801,15.57923995188811,10.15910473966375,11.257866327912339,15.93087975439929,17.288066190964077,18.47109425208464,19.698454906394122,21.40621078297537],[12.046713691354357,10.210297547109148,10.017721605732323,5.761384815857747,8.834585061855103,5.814043946770512,7.772122565547745,11.520202666306371,10.98157503952365,13.233216139153338,16.135102955172634,18.214632262732177,18.290271911567835,17.255616610401876,22.099118745361345,23.23293682477459,21.998924666132332,26.532237233260066,29.265290959717536,31.109962335179368,34.625557318360244,37.97427678093819,39.02963674722276,38.19611142562523,34.80828203307291,31.373834525504005,29.144248170670377,25.393589146334442,25.99268708082754,25.189493840037876,28.884417603108627,27.632290432458152,31.20959166464702,35.02578635228548,32.63597616045699,31.057932825399114,29.656525922180425,30.63373043916782,30.20945994302698,35.444045236604126,32.86475970537182,34.29835766321236,38.47366196876275,38.13828320593089,40.22268679340414,39.37257616462618,43.33101695128803,42.032558299660366,37.72686343367311,41.78251325669931,43.6886926744596,42.74806074574544,45.06706461265392,39.8957735138819,44.45250696046125,47.13188954261246,43.38143350655454,42.53006190854145,47.39780301566718,47.41304750016714,43.86400933045377,44.96443889472807,42.99345353547811,44.98635443719839,42.59016707517185,38.7050097211197,36.3797628470215,33.22161385179057,31.06977478577547,28.75172244729895,28.35123186224189,31.07795745243472,32.43906418773418,35.772190727244094,34.31427160719187,40.37352905848306,38.97170275407314,41.58274641312753,40.35118626918644,41.05980847649663,38.799689615493726,38.270372391233316,35.375696554726325,36.024637485623124,33.1947348981872,32.128747360377375,34.53189166121508,34.923167154044364,35.100123713345695,37.99850237528966,35.92847227986939,39.05028681419052,35.57645648890457,33.28898424929185,28.557297518219073,29.157763070555895,24.854163130720313,26.63636027196515,23.683936826089354,24.636434870879203,26.405614472317374,25.02799019532722,27.13591320102473,24.95385008377105,28.25815623977801,23.36104278330843,25.84752175255901,25.39344787664781,21.292519037485757,20.566941054473872,15.855074601438261,16.631378654480297,13.236816788978905,14.646593889115012,15.709823601997552,16.778949868683995,20.402896721132514,21.895345922134364,26.47424892665352,23.92338472371292,21.435506554299387,18.041533405494626,16.171407396391743,13.219411661382143,10.125355227687509,12.489386851971915,10.605765292833295,15.045042307429373,17.766916943839476,22.262697402876228,22.523589723938365,26.62102141361138,27.74691062190802,27.855075958023964,24.722201552839202,20.82176717195768,19.412694217906257,18.043769234238706,17.351905352430464,20.007447991560635,23.06061010115452,27.532907249528126,26.368607963935037,23.566480578300894,26.314692048272438,24.26767982627517,21.221404707342273,19.756434370882424,18.73744791491003,15.705480070791708,16.63824646825622,16.23769269431851,20.69322325625095,20.35421024237978,21.377661135965962,22.022741581072392,20.287968216874823,20.679091631060338,21.81176024173623,21.404810890048864,21.81615541754116,25.036934007703362,24.123535594283364,28.33267888572587,28.89830895072198,27.01106767751596,28.939902370666786,31.12424141297985,28.371482062457492,25.043397930337694,24.71101051702586,22.701187928021902,25.934578547989748,26.786533418628416,27.569967352820974,28.04181031897716,26.798815718987097,31.59148148451449,31.661544727030158,32.08527805156494,31.18567910875572,26.873558769009584,31.402555703530716,34.03527708279452,31.566719968244477,34.70760286838233,33.83369242351196,38.23319287977057,36.6940420062802,37.79457668030188,37.89377822337413,34.70084921332385,33.95438438874269,31.49155765706208,31.437671444105227,31.438711728040747,26.651366464934732,27.493010126440282,24.795789902003246,22.91548246091566,25.45304795418254,23.374208990058612,19.700969588373074,21.18292254025015,23.38246262528832,18.9752996971331,16.75843026594262,20.931688507857455,22.011904932879798,16.29145497798312,18.002833481036802,21.01392837753721,17.957881223544778,15.544440154063084,20.135955504879043,20.05117447875274,24.83185729271043,25.555744701785887,25.015606412366413,27.896643989312704,32.38947322693421,35.51362698373347,37.39088156347468,37.77572739184311,35.738851380225604,37.68923712737583,34.842080856824204,38.97404887696761,38.31727808702352,32.22457917595759,34.511345872858186,38.40033898979133,34.71531676603177,32.2377948829496,35.461619484831296,36.36210086756385,32.33301652984791,31.227844346767526,27.590329779107293,28.85298767675705,31.53371266335749,30.365558701964638,31.87294998167562,34.331869979767305,31.337891856465152,27.940119136939717,29.854480262141404,29.77099703438842,25.10977936646204,24.565338419781977,26.36476749627597,24.166624407841635,21.567097132667598,26.41496151796235,26.58335634884391,22.207540084491466,24.347200682155638,28.329916524334987,27.473816398019842,30.06755676676408,28.82970691291617,32.68686966954136,31.655876971640637,26.184398973700606,29.650712107309865,31.64919567428602,28.69829037734023,27.167226108072924,33.17307256050222,32.53266581407583,27.51175824721564,29.6818010251826,34.51393680009076,33.08691023367811,29.34793956051182,24.877386570953536,29.35991707325253,25.716447473471817,25.90325317003496,20.612080222476642,19.28729835736137,14.667043243776655,15.752731795118981,17.209680008845044,20.827050747593386,20.810920520957772,21.106657517864466,16.58908888537468,19.20926030678351,14.6958383709319,13.540801721656585,17.48744654686696,19.274849210521282,19.041478981780735,13.643434914340151,14.332617177611189,15.583660942821759,11.245706979648315,9.567152913485065,14.288342607643019,16.279532596088387,17.778609995325137,19.19000013584894,20.759219795166597],[16.614538483612392,14.2269899677896,13.223367480605583,7.630935507088524,9.360825713007246,10.400248924442865,10.872996565981909,15.3910663094714,14.67118111459611,15.03695091007372,18.296801368835425,21.2631335578802,19.724854764616573,18.03456833968359,23.234506812513242,24.30954636538194,21.85086232986314,26.003449713818632,27.635784087204776,29.714553561219365,32.71161670757212,36.02774150109098,36.58777383567429,35.24429886430833,32.117440745389125,28.812352407145678,27.026048698394508,23.813441907772454,25.45810559221212,25.703283198643025,29.615439371451604,29.14428910401641,33.068629600952406,36.281696484350554,33.54240243613624,31.200698740046327,30.317052134152217,29.988608421310804,28.99687076401284,34.265872136218796,30.781794715895433,32.45408880175864,36.69653936162556,35.79883293595008,37.32904340952642,36.048126508590116,40.0574222620252,39.3844533899198,34.95098736518714,38.90677039269154,41.387206284469855,40.8454897894578,43.40260140921752,38.427494377237686,43.4997886870247,45.666883572809894,41.678897546133854,41.527578026924765,46.336481155968364,45.64071235123353,42.28868098256464,43.86310138460941,42.31969312928786,43.68429304764426,40.97966754772642,37.52208668360612,34.91481457354787,32.39578135119171,29.800913394482386,28.265391213339953,27.321528556435634,30.03880162657359,31.942047667775498,34.78190333147026,34.053451494133704,40.2101812621563,38.60573748363934,41.78876919759534,40.365417112178356,40.71878166284732,38.92737545050035,37.94299475148989,35.83295810785152,35.90712647378119,32.53370991990616,31.99680616062613,34.02356074667643,35.34065798959272,34.91197652628916,38.6446854581238,36.36272004098497,39.58556296761711,36.473833555482784,34.74332476527603,30.043574392537753,30.99352334654485,26.681676366601728,28.974604717005843,26.486192117085007,28.44037236749267,29.03193279140359,28.176568312175156,29.13513629276131,27.293488286867507,29.695306689314606,24.974147198414347,27.711727269868184,26.519679165483236,22.69797857209422,22.71194450167712,18.02077561100921,17.72485815032303,14.847015928401609,14.362359496439245,15.29558675313721,14.811209050669957,18.57791156759701,18.854473693580616,23.894700493241555,22.43319875505383,19.533645133717936,16.68429324603404,13.412923303296079,11.318688784071286,9.780581214527178,11.066427079419556,11.645719614294276,15.01623533416348,18.114008317799964,22.595577375569288,22.0697875050551,26.572881711815324,26.795374425226576,27.71126268679537,23.488715675997096,19.56428229714589,17.414123098641348,15.38122038793443,13.846785664511232,17.015139663293365,18.91146738668879,23.69810954337556,23.312431395361923,20.937100120265654,24.213994524049102,23.15393639526679,19.975878130216326,19.81916901374917,19.59539901105664,17.710906460542297,19.67129001618452,20.27281349050101,25.061385069217373,25.576368315819998,25.92313088736779,25.895429637944464,23.345959242728206,23.6179398327102,23.7073224539602,22.886350096946618,21.67825697566594,24.640059225492365,22.32690285731463,26.968273689218965,26.708889015838675,23.850134927791192,26.19175770054601,27.66526908078654,25.072474000357598,21.595837766316652,22.04886852319811,20.25822782279562,24.359322643898295,26.000087342105044,27.4094931932641,28.784297830327304,27.696571621033716,32.78775522612165,31.87205865171436,32.543314317477666,30.59149506870123,27.091344117568276,30.915707257148604,33.02769294501834,30.191229445939136,33.081799344112895,32.096062484226756,36.07494428887722,33.66204157583098,35.12725268251137,35.06202432647493,32.3703974922696,31.682814230952687,29.523420164828686,29.88396335754727,30.061802414050334,25.37015394589808,27.039910648779447,24.7122349634198,23.770315351049383,26.793393998286774,25.61379612166976,21.58591042522736,22.5997338433848,25.718505009313837,21.935323800427163,18.436915237318296,23.123726219839018,25.485952182126407,19.751136440998764,20.803879957720547,24.380678110705546,22.18497381763163,19.066302642999176,23.040705698585906,22.136536878287398,27.660994108872202,26.649029358347907,26.73128691019484,30.202437509864346,34.294461061822254,37.960539507043016,39.30236945289514,40.07527143460273,37.82280715620035,39.813907289009826,36.987499614450044,40.6169518884655,39.78452657221824,33.57891996232116,35.728230737663615,39.087058778705135,35.15396697093492,32.60692300567299,35.53805162930356,35.92145413871459,31.831592578159142,30.47299377360218,27.668865285857407,29.507793631812245,32.63075990133548,32.30350464047253,34.21675852765649,37.30401638263806,34.37509780692245,30.55136192901527,33.14521081036252,33.58937312368697,28.75141012517978,28.096158592123093,30.63274421805475,28.821184716453,25.85020464053023,30.592661391115662,31.322997414576236,27.141103516867254,28.589648186691058,32.49406036669517,31.08524697358922,33.53874861638161,32.028702494236114,35.46132281029387,34.49415748002605,28.782323406568743,31.789361228124346,33.51079420930142,30.49427839819336,28.380717189543017,34.21547915851303,33.3275433188508,27.99041354018793,29.77333239042589,34.59426979897571,32.93181753571985,28.936060273428062,24.46054632063268,28.377344710401438,24.53005094685381,25.900067085197325,20.479763931164744,20.103051759564153,16.208836510203458,15.504690255459307,16.559762872778006,19.510614098552495,19.56244626870065,21.091043467867088,16.690326453778173,19.57729836338792,15.182319902074735,15.816331273399014,20.50699388357582,22.918099800580872,23.136234216647342,17.571381520983582,18.57150617185779,20.71713931454771,16.377358537686113,14.652489546281705,19.395027874017185,21.95477941098207,23.518925850411552,24.78454020919501,26.186249269670874],[14.086885478360436,12.311434819190952,12.82178016560734,7.274024967993075,11.478493844493848,11.436999295378296,13.044663384277948,17.223619154224128,16.2405732600881,17.419408222421012,20.297667395234637,23.114005230786677,22.495589311887343,20.56896987158233,25.724458667318466,27.12351340653711,25.119473557051382,29.313036593393793,31.117308341226696,33.4186876461056,36.43772884789864,39.91280494647046,40.440769954363454,39.15639093350028,36.10015142717162,32.65590090931857,30.98485362209513,27.637140138289478,29.02674093433141,29.016129083328163,32.5067482432014,32.03271119605704,35.709328384774075,39.17155131038752,36.7017292885603,34.5927830785385,33.7119889410872,33.7757605527763,32.97422943790256,38.313606033528984,34.92814472563091,36.45933498267042,40.741082114202186,39.94426667430872,41.46821895653563,40.21912200988604,44.23595970971664,43.574703980405,39.17098249410359,43.12823112238165,45.595944535133484,45.02281601103329,47.55278301761391,42.53896802001067,47.52081950722822,49.756737082248065,45.76942736206895,45.46665468345451,50.29093473111488,49.69185532291288,46.217705146413344,47.601042427832596,45.88465657965936,47.28891436544188,44.738400385955345,41.2350808232749,38.4104422130417,35.74114736121117,32.95536213353612,31.10324883956523,30.088195878501995,32.50987334998568,34.59085439284947,37.772458853757506,37.07383873776156,43.25571898181615,41.97652246108389,45.02672799450397,43.82112831033498,44.390945926566815,42.56530553722688,41.78400289064404,39.463064221820325,39.73069381288779,36.48512137571617,35.77646822746195,37.82312724814485,38.863708923668824,38.447928638194334,41.853387806351996,39.448899089669546,42.443234805965865,39.14151942918152,37.25429409914298,32.51481983489851,33.05660624131092,28.701978920158012,31.230980513859713,28.628368618287315,30.16165550067061,31.55186320752051,30.5602882595441,32.11932488179164,30.119667824465616,32.8826960883056,27.983332754308787,30.429593275723548,29.364057215976533,25.263809511702693,25.2593990671498,20.48143818405191,20.918246356387,17.870254205960737,18.0721926302543,18.865782501632637,18.735862707114933,22.365999481615287,22.76344323410796,27.498817537272835,25.853891233657272,22.83517238863015,19.916961340489827,17.01734217742117,15.008724330033237,13.210866830993409,14.999120515039412,14.47643433455512,18.394736159803696,21.2003928979432,25.874319996461463,25.183411120012092,29.5959058831408,30.21841937471768,31.15708145054792,27.155577662560418,23.363212824376244,20.93489911201202,19.398724635041344,18.04737718938563,21.24028803105623,23.022918553912582,27.82432266634692,27.40951699212996,25.083186039939406,28.337171459070067,27.060942776543598,23.922359147402734,23.43346186145745,22.998284571911373,20.5848624673833,22.072227439565616,22.016878355289087,26.616110740815287,26.272966972080795,27.132278975348914,27.731986946870997,25.64917333808758,26.106886367821307,26.671438005323232,26.073986464238814,25.430093499761366,28.475370749186432,26.45680580766248,31.046148513907923,30.869363627305066,28.0219862088832,30.219488144154063,31.61820002873076,28.845365732823147,25.52756473700918,25.96460381814804,24.34281772258973,28.394332022274835,29.91980869696772,31.208836187585376,32.30336550373847,31.138643783148147,36.15968925214237,35.58742675573038,36.16373019411178,34.47764327342015,30.673385738877542,34.62133122767842,36.82626920485717,34.113275133144306,37.17254704047743,36.244033409425235,40.252647783101594,37.87335768957426,39.27141937037643,39.10992075219559,36.40413063358726,35.51675729853493,33.196877154397896,33.33425842766805,33.187186603193204,28.39236002799913,29.709332591923253,26.908417582701794,25.98790124314618,28.411829035323972,27.139788624626608,23.293583672188074,23.783982660766828,26.519723196732148,22.60483411622546,18.94854817696368,23.243752601926435,25.38954050617094,19.2933547646371,19.997662731893634,23.32902840470276,20.959480176269366,17.442040294108736,21.257184659615135,20.788522688855373,26.232014538265656,25.76935896519804,26.233533673757226,29.49462037598716,33.966732023808156,37.31544307584426,39.16574739222238,40.21441102059773,38.34490217345981,40.648308644942105,38.17389727073954,41.96601672696634,40.8076957856131,34.76699640295744,37.33018679190175,40.63094349413172,36.52653423271661,34.32823589488141,37.59105765111613,37.62942925471463,33.41965678520173,32.78566055917717,29.501881558102017,31.78878075593176,34.64942365313188,33.82978701307996,35.892035653042484,38.596137690718685,35.959309654569914,32.12514188236873,34.062884538311906,34.54836607820286,29.903034459238285,28.789824801906434,30.89427058754187,28.944510683698738,25.821894066535148,30.35843298931352,30.786828516725816,26.298703820632316,27.714857314245705,31.66589688265218,30.515856600880298,33.39764277399103,32.4058319324941,35.902429162481546,34.38610425052561,28.87583066196376,32.4167342285195,33.77678332908612,30.543665752997878,29.084283633697495,34.90982951216888,33.52278701521829,28.360130873915995,30.788040405386397,35.313351996416415,33.2368207950868,29.31436552031715,24.63520657652429,28.346862994047182,24.174047801615647,25.05979067520486,19.682808210993905,19.722959475144048,15.55158862509882,14.769571251044177,16.684757483781624,19.84936972187837,20.60063375936711,22.14013139827214,18.37607500368539,21.753574509346763,17.70201216958349,17.291862717836754,22.141712177306392,23.99261029164695,24.403702237790238,18.876849581774977,18.98388156273945,20.817646289321065,17.007281963757325,14.284977938901289,18.63821012826981,20.95310391402524,22.497593935921238,23.76497206252467,25.0378523712147],[15.577666722163153,13.986214531380895,14.91967037187154,9.62419708837443,14.039938325167215,14.921302774907401,16.655540538453437,20.902783453451026,19.91069571924043,20.881893308430097,23.705657997330867,26.688548682836373,25.909529843025428,23.729481793771793,28.92500047240639,30.40689235674225,28.142946686623997,32.160872683796164,33.538484815624955,35.99914326171013,38.76371294642682,42.24558278304992,42.51926329983771,40.998527209545976,38.13009866516994,34.747621762219865,33.33952575044628,30.235016042587123,31.954318507144173,32.24167703317302,35.661039026854425,35.448526997782906,39.14815347303099,42.48232466582389,39.982740077123516,37.68224444123866,36.97154124105538,36.66733060116807,35.677776045638865,40.968976942799344,37.26201430178906,38.88907643769374,43.17287700110805,42.128138173689095,43.364712246895195,41.87788547835142,45.884296231563596,45.57149262116064,41.11003758374788,44.93431085548648,47.69717753505421,47.28908794643338,49.94417539584082,45.048035013843446,50.219038642365064,52.26200099266368,48.20085934464821,48.181023236276204,52.966113707552225,52.0788330019323,48.69192586386794,50.229792324738966,48.65189462318529,49.7829366270612,47.1581877680841,43.853312597023546,40.843406330956874,38.42198942968326,35.38315249419007,33.75812169416518,32.47855777146657,34.71595162899633,37.117183120974026,40.209628767241284,39.855012955742296,46.05375363472655,44.823879245058,48.04685081458805,46.840395437202936,47.32589590368901,45.66098782294794,44.73440720630359,42.63361654176914,42.69166427567793,39.30058042099172,38.803903624850484,40.740804062905234,42.049555703352205,41.434671037477386,45.041467629852825,42.52638451178816,45.4581875256583,42.235983881403214,40.503302324484835,35.7825601123864,36.2782889232255,31.93066762180765,34.7058971383146,32.20619689591603,33.844387538279214,35.16873366391211,34.21015890516164,35.634589879095266,33.59215986039043,36.09489777806607,31.156515297419364,33.4475886824116,32.08906357248756,27.972324704309482,28.348591857856004,23.590850650518377,24.08654763213956,21.28898713130914,21.15115694345406,21.95547526903633,21.365009127072263,24.940449037721038,24.813621321540968,29.56969866336975,28.387373926242454,25.1954718956109,22.555686298127714,19.28481007722487,17.73965006599678,16.423399104911656,17.801281193211288,17.519768458938007,21.199079888536296,23.863761322803025,28.596047621035396,27.366065837872174,31.83430438093353,32.308590524566064,33.691447235804,29.368960850773284,25.77093366284855,22.78446568031426,21.421004135757016,19.931001027056524,23.33443729738616,24.481511394242002,29.361066800496992,29.39374113819766,27.313635587329813,30.740507827878737,29.85301021468002,26.70487066106668,26.59401661911209,26.302064130041092,24.118005666837124,25.647100491828265,25.71703048325028,30.277511629023472,29.868283500235876,30.80860828521689,31.438500011602933,29.314157259622426,29.723412042470667,30.188642593094546,29.420352344908103,28.416372190678004,31.453066729983355,28.960784601113385,33.65433675859525,33.05162133395117,29.75277251511709,31.940618603468167,32.881674763723915,30.057048838133117,26.892193187521407,27.695343900129995,26.403933685172113,30.78866733596663,32.61958477623491,34.1597774888592,35.48478430605769,34.43834304704429,39.4812811734253,38.65206375798858,39.226229644730246,37.19460890753873,33.56624203299059,37.178991871871695,39.1596865044391,36.402892671105356,39.50051405014113,38.637391219777236,42.37847001092132,39.610756078724684,41.068131371325705,40.702717327678,38.268890498998985,37.212273187609426,34.92942938053585,35.08156078301762,34.75148237818443,30.003475600138255,31.44637130200616,28.527584702310637,28.13160387968574,30.317850178577224,29.473901447618072,25.649617392569215,25.518383818738336,28.400721301016688,24.80603125499749,20.518674161016214,24.658515330714582,27.284565267380042,21.119418844146473,21.228333231129024,24.589754595149603,22.651945608483736,18.65863153241289,21.851891764038143,21.226592302060784,26.860337742286195,25.797101475930916,26.874283845994903,30.244493889932826,34.67936085525462,38.06040702483679,39.95099762203127,41.408048946788846,39.712903377259636,42.244911736502225,40.06758978499944,43.667004408827154,42.174905865945135,36.263999996177,39.032008077358,41.96143519209682,37.63677104580378,35.695636659999316,39.0145266428157,38.50131700383994,34.225200952388384,34.028277347831995,30.877616422884277,33.77621429794993,36.63557491992142,35.90897526197811,38.28620885179124,41.03107017217385,38.673751023337765,34.62690357049699,36.436690981322776,37.24744509213889,32.68318749701853,31.19497757994383,33.38226741409824,31.57767323095291,28.18761896968902,32.462974761465794,33.00505054572984,28.492508236275746,29.473471541297524,33.34817246880577,32.074995057984594,35.12944300416107,34.36050073770881,37.62497571099635,35.772713231371206,30.35749830673441,33.96610321720966,34.89299307508051,31.521836999406595,30.241395156626766,35.86714291652591,33.996324540653326,28.885335913957878,31.527782980554655,35.748921434208235,33.26198484802534,29.325515241936674,24.611724786835342,27.740988443515867,23.307542183605715,24.497340764667086,19.27741041364443,20.17478125429695,16.45237138553528,14.656871689058153,16.851638306594317,19.617468091169652,20.918311257136885,23.07599941248474,19.990515130280908,23.72497958951226,20.123416704419114,19.85428824982722,25.043406752779774,26.792763182539986,27.582245948305378,22.0634284952817,21.74519935578096,23.804114371248282,20.388869357793933,17.131663116629184,21.146515460106926,23.582934314845463,25.132924342583063,26.326211648607224,27.428485747258105],[16.769657887718086,16.201978219747545,18.37470744055634,13.639373199975179,18.706209574422694,18.60966449805112,20.53116193737993,24.41949711306918,22.851648653369683,23.990664175374683,26.328816281730507,29.378867990876614,29.197485078406615,26.535297385009674,31.60527543550996,33.48375239935017,31.499053271353564,35.368670538399066,36.684265159901855,39.52825884099251,42.167051670791075,45.89741856397717,46.00717078876179,44.54117530908305,41.86307692727399,38.27473110538449,37.18401755010409,34.00634070264781,35.58525017283366,35.85310261973053,38.60925979432814,38.75047714991778,42.152804923557966,45.558042538625024,43.39187576326725,41.18470762734926,40.75571933039002,40.62236905922298,39.84859835033545,45.36698099562215,41.55201738420238,42.850497641962285,47.22025017837619,46.29238735209808,47.40090021704198,46.01080062027188,50.041578396170316,49.810647083975155,45.5132400967528,49.45390011078275,52.20709070757139,51.876823195506816,54.432180801250105,49.48901700118128,54.59846979590086,56.5419431703103,52.38188258992982,52.24241086645414,57.01214889580743,56.09433327111167,52.49370711487498,53.78208659897417,52.03794402028003,53.03001130585336,50.61710714579077,47.3800205703315,43.948359844030634,41.49329753796728,38.10120734562939,36.26848209144345,34.78443990019465,36.57601016829709,39.29559493475316,42.6801015810838,42.58189287155011,48.77294751483896,48.00946190913702,51.19296544227591,50.309923408843545,51.068620345054526,49.59552293668448,48.95793301038539,46.872739836446655,47.18859519933138,43.80144022387171,43.04629546341752,44.75240597211008,45.91851467445759,45.019566148902406,48.35743666820762,45.565462594311036,48.139075919786926,44.80650549548847,43.09111953565346,38.40660982207616,38.45716911855574,34.15340914548479,37.41903561486128,35.04280063885304,36.62057216311537,38.50503255704625,37.82313560517466,39.54399797311809,37.72592635527227,40.5976615527839,35.67975612169005,37.987388303794404,36.81002511742752,32.6121769326563,32.8012345521918,28.02464747406818,28.637222531736246,25.52088473797618,25.590510249741065,25.87781876114821,25.397744540563124,28.68987746672121,28.543596193844294,32.79250298312544,31.57945986585164,28.227498192495112,25.706864359569256,22.7819032698901,21.564312456622265,20.424449045460683,22.43609283422951,22.123363732669908,25.996291362107936,28.683088727434093,33.42722580904931,32.30183754456272,36.73246682109686,37.30391636898771,38.608657055014405,34.35880996012494,30.70100376703301,27.798098144353343,26.3319149980486,24.624725414037457,27.896935384944165,28.652489211449957,33.469198605308925,33.40825280231855,31.540248273651656,35.01181079404236,33.9663271429717,30.915507366477037,30.717041805120893,30.555225859665413,28.03692817704343,29.555721288224163,28.990915500370733,33.50856838796965,32.32308650082573,33.392498704554534,34.5660171395378,32.68629265862403,33.49680117644179,34.025140766331226,33.747107709767086,32.993237852436245,35.79904139560976,33.49179485004371,38.19063483741414,37.795293843999495,34.47098810710514,36.83089254850342,37.67466290807364,34.92977382084751,31.74385969101862,32.6448714240976,31.270943429459017,35.621590731713226,37.36709307566586,38.73907733181297,39.94553772523663,38.61144270354669,43.73661749506708,43.122940175386766,43.80500884953725,41.95507643134946,38.31908620944976,42.08898753182774,44.120027880576835,41.33542103240805,44.297839084152514,43.25342648696595,47.08114232704952,44.194440440159376,45.846092465481725,45.541199918255195,43.17261221160948,42.18381115044496,39.93105903176495,40.0820841578383,39.68938496359816,34.932397256351955,36.268897424815286,33.182091304425114,32.75907800207336,34.645963632303825,33.68522900435209,30.008545699640806,29.676957551928393,32.23546589271167,28.565678719917372,24.395160494246657,28.12327910575241,30.429713607717435,24.190060092556863,24.048943679210876,27.006507059945168,24.903864513895634,20.796851709318933,23.615631937931617,23.502068157097405,28.798882034412724,28.27626735121137,29.74577525189528,32.8285862763558,37.515505532971275,40.53321456447292,42.87221418788449,44.56289577451185,43.206385254683575,45.945356371471995,44.021123995829285,47.72132970940813,46.02235443655938,40.284286041131836,43.28581448035,46.15721300611448,41.750247901237366,40.04745553990461,43.52196663895533,42.77445529981571,38.4619538919929,38.67312993345236,35.33282611185263,38.41371639286155,41.12528279037121,40.103354430885446,42.49318272391564,44.944683574677896,42.717157153980494,38.769029647625175,40.13121719831389,40.848464602642274,36.45439135366315,34.78153660546179,36.53090473667288,34.56871409046843,31.23646960703245,35.294301549870596,35.470567292134,30.757744724310367,31.81600121737155,35.651375554771384,34.704802502049496,38.08204287492944,37.74806063971991,41.05298639456489,38.78557421542355,33.64646863294558,37.611342369033274,38.250188696432254,34.760902008073856,34.01214337160571,39.53228871107528,37.26102658486226,32.39214749526654,35.45272643014976,39.36529748182767,36.536442726133195,32.730077330074735,27.989211466852574,30.701963994903043,26.069389275870037,26.916298126924538,22.030461959270657,23.39200478516346,19.698359905230003,17.855548094976605,20.564187587570657,23.237215469348715,25.021241841971072,27.210727548999216,24.532895890613997,28.396414666372344,24.876050884028533,24.1352464704555,29.184761754383242,30.5942228891172,31.284810611347883,25.9025427213634,25.211934158260767,26.789615901853374,23.631163056826637,20.15590389285174,23.69177297514906,25.597588795168054,26.973397760878356,28.042492135492438,28.951544142848118],[15.410793460620246,14.171578560278068,15.87697193373781,11.843778231371605,16.836380584170527,18.406961193401962,20.9008256323355,25.040276121441874,24.557659912407413,26.01509030014678,28.865738164832262,31.581354292476117,31.05858347343235,29.112522139081356,34.28385025276577,35.695704872352415,33.49176400869775,37.56923099652458,38.91815969695555,41.26624894712439,44.00545645345317,47.355678904137065,47.59788360812548,45.9163668130185,43.069623344960796,39.853242798454694,38.38888352236457,35.40916028300905,37.203733284317074,37.4023554656726,41.03729396371711,40.56729434361506,44.29122854208945,47.73977835129959,45.1755637030204,42.93772240602101,41.99610224780516,41.71188376475972,40.55361751777004,45.57498797498843,41.91897257306234,43.85545425386838,48.054853300606936,46.802542692681065,47.96264493763697,46.21161887492086,50.148655062565034,50.03372640471033,45.38159139902585,48.90492038891783,51.88996500628265,51.4700476296414,54.317769770229965,49.550647701178356,54.80387717159951,56.91654111763711,52.94358905320135,53.09985817282599,57.87948497066699,56.93317809305777,53.74280801269284,55.4557365726248,53.971064361981476,55.10581874302005,52.380479961277274,49.104428116648485,46.21761270345067,43.85255987744139,40.853244808101095,39.26964915498293,37.98032592855321,40.17844644997889,42.627967809063115,45.702150991280305,45.34448362932499,51.53652982760022,50.21722468544314,53.423776527560385,52.111275741862116,52.472857040718,50.64353711073812,49.503017432168896,47.27223057353983,47.08485641448148,43.76652663480942,43.547810846563834,45.725602424530926,47.04819256939542,46.67125142363696,50.312981603210154,47.91503979587505,50.9080366410181,47.65719100988187,45.83270036161327,41.097850808734115,41.558809408586136,37.204782363594994,39.801133057823236,37.12338111948533,38.321712913570366,39.91301574829869,38.44879750339857,40.15495629323431,37.592939618483264,39.842808991767654,34.676133926476815,36.38712692279306,34.74211649561574,30.462575636690694,31.36092741773973,26.700026217335054,27.93012442293612,25.59818564021722,25.71384201324427,27.05545149071394,26.449621218035002,30.155597495505496,29.8749904488446,34.82405518903604,33.794296424434116,30.624892182825302,28.00681068769901,24.59856590198005,22.992181858362173,21.458931836037852,22.23267756412784,21.057333146109183,24.761038624703907,26.878889630408377,31.753294678086302,29.78790354608746,34.10070571718833,34.870089191873205,36.718872411861405,32.42241665522103,29.282160557069016,25.55575448945485,25.080015074750314,24.057842417224393,27.706456155257797,28.83887882961408,33.75272488373434,34.18087710384875,32.07043800291902,35.48897189214712,34.814110030226054,31.602987682376376,31.46084251356951,30.84376989231447,28.679997263953513,29.6543287801572,29.850157975041043,34.02360833302911,33.43022938772421,34.929682885063734,35.69476612392612,33.87838908820953,33.948464455359876,34.84747985619652,33.58966455025458,32.706323064505405,36.130927449226704,33.45051709513692,38.11248766676905,37.03163901700117,33.50416734470751,35.21348610516151,35.820496856774234,32.65891905195545,29.94623518594506,30.82332474714518,30.11439526609747,34.65271001818479,36.653684862578224,38.4400123911862,39.719729192009126,39.056345629831846,43.87873323137579,43.03014650345764,43.3209622628607,41.14935125525131,37.28257883996766,40.55185507543155,42.39564155022372,39.84344177792814,43.36722468941871,42.89054035221356,46.31952436841961,43.47127594470716,44.599133014291176,43.84762745114566,41.552259277091416,39.98906398963726,37.49959594015671,37.33988306824752,36.4732611398635,31.76415433833644,32.898578184648066,29.535993538732768,29.684238268806066,31.091760914020263,30.710388622311047,27.16889343714559,26.003624041047676,28.69637021783133,25.58371350052401,20.7166892106279,24.20795438817711,27.21965964526471,21.145495011001604,20.345819376806677,23.47822467343262,22.21673446961653,17.72685453315258,19.821440169119935,19.165464371305433,24.73114119815738,23.25682201766052,25.13083819060382,28.39834493913414,32.847055645304046,36.04857492568723,38.18020299777385,40.20018845543758,38.943140813697376,41.86965150451877,40.29323495185387,43.71728744856102,41.67054683027748,36.13346657344549,39.35001858768349,41.805123693859606,37.23101736654349,35.85272053023063,39.43193593754515,38.15715374294345,33.82932792415092,34.652007177682954,31.273423637498848,35.050584017187916,37.626473368075736,36.662107387939706,39.47834255060496,41.994005283092896,40.245563385010065,35.97230007738709,37.201020591523786,38.499773196073264,34.24648607770825,32.028417965165545,34.1193450825738,32.55955709416332,28.792737309687713,32.48708769714221,33.13121060915626,28.665837520341327,28.918715685301652,32.58209356172942,31.234175757878127,34.5893331255245,34.349115478114946,37.27135704402859,34.78916671093758,29.735037974563603,33.5962465309666,33.810031624982415,30.264309344054833,29.612503014694774,34.864156328897955,32.24899572756794,27.473764999188823,30.687079198527634,34.29686514883256,31.229617976704045,27.472524198637256,22.7875841186798,25.17707903350142,20.50087834834871,21.49259323883281,16.761033243795588,18.689815327998957,15.663491965846827,12.99011144736106,15.784496910314767,18.125052192005402,20.326569989478095,22.826924368658528,21.045477864012682,25.254055280037626,22.561439622133385,21.78674163935646,27.264268084208222,28.514167948635162,29.993948913689692,24.704070256532273,23.36476466598035,25.655125276227242,23.27929421797867,18.995530482052548,22.149741698352564,24.75652808535405,26.338147427508442,27.46088132932021,28.301087944042372],[19.063395312542184,18.33851759351116,20.442082739045166,16.549787773192055,21.488309983825626,22.960990569930722,25.333556482002773,29.453151341784853,28.60332291996717,29.84751705599807,32.50203077671575,35.438506541867774,34.9377369813889,32.581923573829656,37.74674370491527,39.37929081772947,37.0685514698688,40.94283536689879,41.94084772339541,44.57749831811016,47.060559288439194,50.53036363333658,50.50120585529336,48.685696213123904,46.08206160558259,42.81745683552785,41.704383495555476,38.864912789418696,40.83447967191773,41.273802565019665,44.558770466644425,44.486625112750566,48.12006637321488,51.46746426229076,49.01689158865073,46.644100395602166,46.001158752312314,45.48721755231851,44.306206000607794,49.436468160706085,45.472349097996684,47.276000682854246,51.51850375274899,50.15724545494641,51.03481156932982,49.19021705942181,53.11814869166015,53.293218555342555,48.725328512618745,52.23102300022887,55.40361890916918,55.16388555879819,58.02674841834887,53.3246661464209,58.680080374812064,60.56783028683922,56.480223596252316,56.789474482739955,61.524995634029665,60.33086501629983,57.09383637108589,58.7992859773825,57.348482492696945,58.19501237919867,55.5157079671604,52.43324852771175,49.20901768672339,47.027451346168135,43.694177471398184,42.211728694661964,40.64950406354464,42.53497755089456,45.33455163652459,48.4350570132951,48.45636417239014,54.65130636009039,53.571887863845674,56.910437843839254,55.74590616831177,56.17157000635742,54.59095489312454,53.494184980463196,51.484312036498956,51.2875036712545,47.83745153973722,47.61778657387207,49.55561496666759,51.03799284516294,50.33116552102914,54.02885565889069,51.40657368994532,54.19856159089015,50.9803852427855,49.31094436907366,44.60569770923669,44.87961003789622,40.55000214991687,43.5569294358092,41.0430079515424,42.42284496046232,44.098817477748334,42.89853658100652,44.53760956966576,42.16760415686497,44.42715039195332,39.30823874888235,41.06852425688815,39.35208108910706,35.106276143156904,36.060655944712344,31.395922652311036,32.479432568226336,30.047221328686028,29.941710089766953,30.945623950658284,30.081834792387216,33.594837041330386,32.972096866272,37.655973292508556,36.93504373433201,33.595394589803924,31.225907016607948,27.75466311965103,26.582228409627984,25.453989215528427,26.404371046548516,25.657582347594527,29.254287540623494,31.435119936892207,36.277915332346296,34.16891873113634,38.503599153261284,39.10037869214629,41.13584681238772,36.638324181764816,33.5249013375863,29.682437989522576,29.045994078869683,27.728055398775492,31.352464334085376,31.850861797251472,36.71962836703075,37.36278262408124,35.54595080393805,39.094516712705754,38.6003881777318,35.44130932869875,35.54451716033269,35.16924796647419,33.026383407919546,34.198844358628996,34.21507525178959,38.472821909651145,37.600470313384264,39.04790688098992,39.99555287328711,38.142869292344244,38.42275968849703,39.15006737295343,38.08660273275573,36.999420774442996,40.21936549433761,37.310064162492885,42.045615506319315,40.839247729209525,37.03182190620582,38.905682202177566,39.167298276455746,36.128962932322054,33.46658749717479,34.641031430341286,34.006128888507696,38.70775541585488,40.85749865828453,42.70356490777589,44.12966737477871,43.34239792563247,48.28035271433441,47.313224371123255,47.72027065031913,45.38158660741511,41.725476415915296,44.87026985636081,46.575687917035076,43.936077988517965,47.308079507216895,46.71769861359828,50.02089214162274,46.82827709844274,48.158057947635996,47.35459073471186,45.306519896159855,43.76906376000895,41.40305023241121,41.33929709467189,40.440686868665395,35.82991164428481,37.09230566133951,33.74405316024044,34.1609161917612,35.442005125554715,35.24676969295479,31.757337056052418,30.335125839551207,33.003501144958115,30.060594555902227,25.06307236411553,28.29710176828501,31.392847278159895,25.403416664172976,24.294507509974316,27.199004278973987,26.12256212134534,21.552531072181534,23.06399481964884,22.52550272802921,27.845597718145328,26.163291863792242,28.55304931469621,31.70569966040348,36.092840397240906,39.13721150764629,41.39593227332185,43.75053492694532,42.72193505524618,45.810369979594505,44.48258696536228,47.774138849342066,45.49197237844103,40.142296116634995,43.47871844713738,45.65051103911703,40.96910807107656,39.813365206340464,43.386663997597054,41.704627413575615,37.39746154348597,38.52530705370985,35.312515652725175,39.39783324221953,41.953459320894936,41.02489002780094,43.971487008432575,46.44169507339498,44.839076393306286,40.52362211272483,41.6065218348589,43.0042885133948,38.83902131194001,36.467056512915576,38.45055869110069,36.90422647605682,33.102708661134585,36.57680939751947,37.13499283938973,32.64335948600115,32.732923200899045,36.27756930125606,35.000945907029255,38.50117728442647,38.509136604693104,41.27806494550099,38.51230303433178,33.686003005651436,37.604780257327214,37.46844256727224,33.87328813112672,33.4756421457603,38.45909788397964,35.43811202072362,30.889140003664412,34.248891931866616,37.480092374251655,34.06229091777412,30.43588088247686,25.905897715222235,27.54270413479533,22.78702350008005,23.937727448503384,19.776181060789632,22.363068252943886,19.790703494963946,16.71044411675553,19.539894459104445,21.36840564136214,23.93520117249172,26.782817653453645,25.43482197564129,29.704648146132758,27.156689945445912,26.47284909241249,31.968579572082145,33.144952606326754,34.655602959361474,29.389305750812156,27.943282872225083,30.11398377673148,27.806364189432824,23.485640693550685,26.407473722726273,28.802162942187092,30.273310494109893,31.283474143922973,31.96019934879267],[16.25517462235947,16.281630480629495,19.335734565128188,16.29020511758555,21.89762298604596,22.46084314422329,25.35293193310488,29.08227145473692,28.335719127085994,30.24693443349774,32.71983122286978,35.274941643511255,35.48586615611464,33.34577596076066,38.39200507156414,40.08140615674422,38.27402040742762,42.362253925412205,43.874159970093004,46.442611642722525,49.210470202701025,52.74069999378682,52.958302609921446,51.36751548179549,48.583290403121,45.20184052850058,43.84463358213261,40.70594866076315,42.25541444857272,42.240744532961045,45.433168214487296,45.01095986779183,48.4644534038137,52.11604307899661,49.84022135976432,47.81859158878624,46.92465244725022,47.00527218428493,46.0566939971578,51.21414469073405,47.63708924783744,49.37920157304014,53.64147546116246,52.52804573916679,53.70097578058077,52.03364644118058,55.99176296039251,55.85148318897797,51.26328573508095,54.849344140893756,57.78012277645258,57.32537176616844,60.11612430372655,55.279190445562406,60.430277347002686,62.60453399575464,58.61055460758978,58.58098567871135,63.38349672773785,62.543943317795666,59.18875100166607,60.676083164961184,58.99818080526997,60.168322623658966,57.62030793135987,54.293655634714504,51.17045055310155,48.654965420077545,45.47981296402328,43.60375567380962,42.26334079740726,44.15429731046527,46.74513399874917,50.134397826828526,49.814461531119754,56.00467373472274,55.03819981263035,58.10848164940571,57.04015244287182,57.64312810352454,55.810370049190304,54.911350289943535,52.49454870239545,52.54462719355342,49.335127472696215,48.894341780655296,51.047290957640584,52.09848924578403,51.68959271431066,54.99647672800416,52.46047277207171,55.195168240793166,51.7762540821114,49.82793513409011,45.10566592924258,45.16701859190741,40.84824046620609,43.66010837988268,40.94826759422243,41.79278147721021,44.08414416209232,42.596669243968506,44.80114060712155,42.209822242001415,44.828575960254476,39.5895172097404,41.11361635815926,39.673328648723846,35.257899663255245,36.01276484560827,31.386002937113517,33.01589110434798,30.470876892335582,31.021914366104486,32.136369970988206,31.81426005146456,35.40758399361551,35.29130897784257,39.93645479109041,38.70563387552661,35.4613069873706,32.79346377730648,29.72719272593899,28.144070871015074,26.468027499976053,27.736690369211857,26.11227729016958,30.118677663045318,32.10939943679979,37.03060014442704,35.12652297219979,39.29632103250941,40.382032296729854,42.126485320458244,38.07675153246814,34.957181963052754,31.273775415041555,30.941694145102726,29.936925529454676,33.52349523027144,34.62974896787948,39.53392975282991,39.822269761965146,37.7381416286891,41.14311180410866,40.21719910139224,37.04057892656103,36.623240734308865,35.90720029571578,33.33638030703226,34.02370494527176,33.631259266323575,37.55680734494939,36.15753276700093,38.041855183391014,39.372522339278675,37.971349147151855,38.26642555330565,39.48968729351781,38.536711987112554,38.11806910432617,41.53057509131366,39.15609676661958,43.79206118750526,42.90642106762332,39.46420345174593,41.14823376957551,41.772918358933666,38.551868409425815,35.90195215630918,36.717483398246706,35.99269356086995,40.42931613018521,42.27781404965492,43.89636311769689,44.92334980030324,44.11237733248234,48.90011047870239,48.3868726443296,48.64227949090395,46.759842201415154,42.66337696970878,46.112226999202186,48.070484193205345,45.60572311112484,49.19782858262454,48.69571447406369,52.22660170184942,49.43212259748482,50.559813281979885,49.79348605758023,47.46026308677428,45.814487672175694,43.22979214806535,42.913655440434916,41.837887569437456,37.118435719430366,37.92734833657543,34.27371245666571,34.34522522985688,35.19067646681155,34.67107770582078,31.443371094592678,29.94681892682404,32.068740447519296,28.982981729277775,24.423879508675682,27.158128121413608,29.66231581652312,23.73607792451289,22.563894052328326,24.988094673459397,23.693036181330324,19.240794431665893,20.566162540054496,20.655996796390042,25.456296314363442,24.877951923862824,27.18827415699306,29.90562919769102,34.60658273804654,37.20776814722796,39.953665577993895,42.27368448290822,41.55159746765234,44.75680819122248,43.620012473708094,47.15329086913522,44.80163902095432,39.62876497511116,43.18266584622018,45.53794394148852,40.921860793365234,39.94803558189146,43.76632133307044,42.204049904452965,37.89733185213937,39.38477479527162,35.640228081657206,39.64300326744389,41.903506763370366,40.45063814278487,43.30268612088074,45.339710223576425,43.90686267239724,39.77116935397806,40.27513093685093,41.53971425674779,37.62639512031593,35.06071082652155,36.55424640685831,34.898877084110524,31.192315384731018,34.41926545637576,34.641987057750285,30.069494552972508,30.234699245564208,33.71560104520314,32.79497667455927,36.53291576050721,36.94382110600023,39.83096501011482,36.76459899045412,32.243872119252536,36.54335303217743,36.31568768420246,32.68479795581565,32.87032644784684,37.85717642401422,34.73782826707956,30.4787576719414,34.26423891487011,37.35353170956274,33.90720151430546,30.483234615020596,25.925479448297455,27.78915867994663,23.09724453568079,23.280597517671612,19.324657378300188,21.625339069800496,18.804123007094912,16.49840613802057,19.77982634357996,22.002531254832178,24.694854356614925,26.938300298633816,25.78042248306999,30.077733702056022,27.62231901097595,26.122109445395004,31.357509205064268,32.05876300401279,33.57538487190671,28.57915795977062,26.612572535437657,28.37762652718401,26.628626177460028,21.97761056972388,24.293504678447032,26.318027926281168,27.691835540929176,28.655773461917487,29.222211772426082],[18.402266073446654,18.6865911578204,21.79014134283487,17.930095343126375,23.481288828698656,23.168330625125638,25.53200313970782,29.162199642978347,27.591457662714493,29.102795336851315,31.192909988468973,34.07103423045207,34.39070401734137,31.659867506911915,36.60643742213903,38.64553841542434,36.89716027736382,40.74057474042796,42.074161368422615,45.045976664626735,47.64062841311474,51.44650032773447,51.482352551902565,49.99883893520518,47.41103633651635,43.78322466412974,42.79556234792675,39.601483835960444,41.092523976126365,41.24994875403872,43.75104962971025,43.907875200768515,47.13149768366376,50.66164701332602,48.67285815743316,46.592813309794046,46.17061299908917,46.211928762862705,45.498250408482136,51.02416622832342,47.21718696861221,48.48196323084973,52.86409940568203,51.9321146769429,52.97350160490766,51.53299676315768,55.552611131324205,55.41950075595309,51.11286749122345,54.99681141174559,57.82230146001298,57.50066956509104,60.08516444844893,55.15060887402775,60.246660453971266,62.20626233861416,58.03897012995026,57.87302050178466,62.64382692834224,61.72553130628178,58.08155726684612,59.285648086828424,57.46418181072038,58.42137301296597,56.09810790373697,52.88290664323964,49.29869276863145,46.81577548257745,43.28969333064007,41.32699233284793,39.77201474486617,41.29346893357436,44.15994977896099,47.71475203533233,47.70932815666201,53.871556296570866,53.34137155108604,56.45479372856206,55.71556864044469,56.58980939667647,55.112103651777176,54.55713604156459,52.36479228679152,52.73758477165687,49.40992747782341,48.61781693508372,50.343298925576796,51.38461371385878,50.483531514538655,53.637488768216215,50.76574027241262,53.155033174480195,49.7322627670761,47.95143481256278,43.29897894439788,43.06395491399169,38.8144766968964,42.20458343415156,39.793969292301284,41.05240980148944,43.43494519406751,42.62898138254287,44.70582541321228,42.740417496349224,45.73983966953021,40.70832702031564,42.74488284025281,41.57246076452181,37.240369781106054,37.531393266832204,32.7891660770452,33.833008732270166,30.749708701083545,31.097501603902867,31.417873825836594,31.045023365562923,34.28969332408216,34.12906451096823,38.218690452749016,37.00051279109983,33.6117607607299,31.128226150878078,28.346607336960712,27.17463694652023,25.932627729127574,27.974284347689085,27.177685562569337,31.212023935038797,33.67263631368424,38.506209578197144,37.14640057003725,41.480005617622375,42.28678815837954,43.71930712527227,39.55822397399125,36.04837656230143,32.88263145256409,31.761947589834868,30.185041656141056,33.522159569073054,34.176031782391426,38.99094320967956,39.02063358460079,37.20160872664043,40.6811823911577,39.59953654541526,36.55614933201263,36.236801249744495,35.9474717408355,33.22685955032648,34.43453779956835,33.567269063487345,37.82174024655515,36.07238381420859,37.523070722696744,39.09203715826639,37.54617625712555,38.403665934464776,39.2234067784886,38.980516448914116,38.481580768139274,41.38183285779633,39.13924967436448,43.83050978736663,43.36395429804242,39.95866022329971,42.18110194325965,42.87599049092762,39.99847770229153,36.98573663761387,37.92628698687485,36.7434435152159,41.13187001592822,42.87988334545919,44.25299269813488,45.3316593540044,44.01775774393935,49.07304103042422,48.62087911453746,49.21464147362857,47.44927958489543,43.63827266749471,47.3869585512242,49.4207673190743,46.72509101415273,49.8422703100709,48.88502625286852,52.65500525718049,49.71098617755013,51.296357000327696,50.85435642370552,48.54220446212601,47.35131510180034,44.99331426604019,44.979143227967306,44.30194963285953,39.54234226810873,40.640424339146215,37.25095700711233,36.99675576862641,38.34120247780496,37.47412736795349,34.04183047549877,33.179841469735386,35.39094023887006,31.897825049849292,27.670291657905757,30.794543690121824,32.96079931711662,26.840671563471886,26.19449784676037,28.67173157109883,26.77368552993547,22.55641287232592,24.559795207875332,24.85184813004509,29.65841627397683,29.477132232679086,31.477284900736016,34.213227032982495,39.02780596088197,41.62604037347663,44.40119293442702,46.47257795021717,45.57408912715823,48.60880789087707,47.13860344528048,50.833730978975375,48.76549878574851,43.3534138821376,46.69599406904595,49.33566218238544,44.80441493461798,43.5144771733203,47.205172434344476,46.00856528952531,41.68124960971804,42.59699217187296,39.007767195115306,42.535975529046254,45.00029939890831,43.64683736102203,46.21209437848271,48.32837290270208,46.47426737636174,42.520602493202986,43.292323639552706,44.14713056152519,40.04328613656273,37.93853067804417,39.311162106308714,37.36739147907002,33.9581454434706,37.55144937707286,37.498757628161364,32.74436853682432,33.525617961867155,37.171439980944115,36.463225696293684,40.15986540405455,40.37863537028072,43.54531577276218,40.72884778724773,36.020293814006216,40.30896308193199,40.44875866187015,36.853347782005116,36.76986478552244,42.00934164538882,39.18558924464825,34.715644332574506,38.271793197773185,41.680416153525115,38.42096321797602,34.85649605712189,30.20410252770535,32.32065470791419,27.598980253977583,28.006397606820897,23.737988709000945,25.67903933426271,22.352510199767963,20.34839829924742,23.480310743924964,25.912118249594094,28.269881398439612,30.50330690167554,28.584049907529813,32.67950928145278,29.57032918594199,28.319071810813874,33.361268126745976,34.31853908099785,35.24780457499067,30.094084153463232,28.737123707281363,30.088353464192167,27.614832274350803,23.622712859256453,26.399667645980163,27.988370365318087,29.22735605205342,30.16225184852485,30.806965734404088],[12.73043527962216,12.891816347464685,16.222643456276327,13.072804608183347,18.97134906288114,18.628506491159673,21.585742736937885,25.096553939746148,24.27333900313879,26.45178456361571,28.826792358525992,31.20382470904539,31.732114902624303,29.731442177386047,34.685882855205776,36.37811574208991,34.877675820393364,39.082789420203184,40.97138678380242,43.4660839471383,46.448734506165536,50.022770007252,50.4548839003491,49.098005343974016,46.16103244433165,42.67320429662091,41.13281796733433,37.7620948707442,38.986482780225415,38.69302976253755,41.804729581146916,41.20279486647262,44.555491695736315,48.340122654726656,46.169297467846434,44.35775724935331,43.35854395481361,43.819845642381935,43.08879334270372,48.332284781244475,45.03443129988185,46.625334526832724,50.905319870129965,50.05178400508004,51.481057960048815,50.05898544471113,54.05169008489881,53.58248916056188,49.070654145683314,52.82961661012002,55.47194311519603,54.86818072173598,57.51534338232457,52.545438855797,57.5060699304641,59.850345746716215,55.90473096398326,55.573802523070846,60.410332024160475,59.85148874467665,56.3655153503457,57.651355574403354,55.80629869057285,57.21754202486087,54.78333630552439,51.277197431705204,48.25273668358727,45.49531939147754,42.490577839141714,40.361512127561056,39.22575251065199,41.20805012883079,43.55941245972617,47.09277040311584,46.4908198634016,52.65736543275181,51.733277793419504,54.62156306109994,53.619274666194066,54.35724513332668,52.40820024847841,51.71013305292362,49.086124951830556,49.39033031299133,46.32283927370144,45.63185121382718,47.84137147715741,48.60454195397158,48.33386323568836,51.38384548294602,48.90714936602179,51.62669480137508,48.112656359163005,46.01713818712828,41.29715874109952,41.30289558362433,36.9966059650462,39.665406860767995,36.883934213308194,37.57561207022062,40.07562686924179,38.597770645231925,41.008802035153906,38.49491716002101,41.434223581922446,36.23331495832908,37.891275085347374,36.764796053447775,32.320867968749766,32.69342550827487,28.040764773788684,29.697510445827135,26.911760093578376,27.809752260450047,28.825973948718485,28.898738935360836,32.48271738610015,32.7988181894007,37.355804516698,35.710100386202406,32.58046483434048,29.70218268794425,26.991735389012,25.121147899147534,23.127071030302222,24.788244817539873,22.899325345813036,27.153115612268188,29.25164816439672,34.14828069596666,32.742717754228146,36.88953608885205,38.13991833709973,39.45443010862424,35.698003977788325,32.37545024354669,29.15368524274481,28.650937852634506,27.70635126649854,31.13463799839053,32.7104514861448,37.58796658610897,37.46207087604702,35.19441206211469,38.46470592611577,37.16659213588904,34.02247068400319,33.25995074236591,32.433212070288775,29.60058101133795,30.191171007910004,29.527965028431055,33.42627733438022,31.866553452920044,33.76241510500071,35.21141579378809,33.944424490947576,34.356521650714434,35.71220716069429,35.00822678775297,34.97689306479713,38.35204313483811,36.43495026677922,40.981222293745304,40.5230671819248,37.46635962550025,39.21689824079056,40.26483724602349,37.08266357569338,34.23427837378538,34.75220172153959,33.7079935186331,37.864560139789134,39.422719768462635,40.777802326171646,41.56120497828119,40.59068687642688,45.35310264071304,45.133024271839886,45.40893939997251,43.89182936338404,39.62662386404178,43.42705625030135,45.61648391860962,43.17668404658123,46.71053939312941,46.105315029847965,49.9203685129353,47.46696830231891,48.58951952624275,48.0408451283606,45.43881776931603,43.97476393045277,41.348637864573426,41.02670421218714,40.12864739514881,35.30611026822595,35.99475375442533,32.38568335677919,31.927904070875027,32.972642348286904,31.979268543426166,28.718987184839516,27.768854726668764,29.722224840777447,26.210278347321157,22.178401077306013,25.11060633254609,27.086733999019334,20.995557436889907,20.38219924994365,22.820414037746858,20.886451810924466,16.672129509242588,18.8756211688093,19.27114939781885,24.06249611618965,24.332807689273825,25.98597154129725,28.63238295036141,33.553302247331224,36.128818502593184,38.94175324249178,40.821373458055795,39.91980108791429,42.929574813336394,41.473245297637405,45.282277065996446,43.26330365019491,37.8853565453947,41.29019663098796,44.08811282699296,39.64847568477311,38.39215351083148,42.21373479754036,41.22570413695696,36.917866282887665,37.97202014659481,34.01205297345087,37.45215163592642,39.71802247901546,38.099005493585864,40.64346441197874,42.59635466313353,40.87748998465869,36.95188612973339,37.5008816914078,38.404855084503176,34.40993373400449,32.15280765375116,33.4752529685842,31.597161947066652,28.115902748270447,31.653351868269638,31.66361931681129,26.948327169034215,27.650631663545106,31.321540319733643,30.595816620417562,34.2788720224015,34.523099649088884,37.73890528360352,34.94620363754546,30.249455663392286,34.63017056256461,34.86817334551577,31.29915984517887,31.34392146878943,36.66671518766391,34.02648393961488,29.596940914285433,33.264634339674814,36.76461809044027,33.71604513386456,30.204818536178035,25.50740685535135,28.159294293433003,23.583439843212858,23.43143480021042,18.978773160284153,20.38935848131949,16.812447635615452,15.451581153847634,18.73868846309379,21.575665860613174,23.807554863619906,25.503762145896903,23.671056071796833,27.767342035687186,24.89807849869215,23.10731900684594,28.075425774713086,28.77300411747984,29.939856126459976,24.950798236086992,23.177701742177238,24.626078832205447,22.654600951639004,18.216681817618397,20.73302253579765,22.545944383379968,23.91988978169033,24.9672924810495,25.69329260894382],[10.701037555158846,10.464414813996957,13.431689720861701,9.713393012644545,15.593764553750672,14.457901670623826,17.270189336183936,20.715988578179477,19.794000506515616,22.042857754568036,24.429422744049713,26.744162664380205,27.3239276340368,25.45524814062088,30.369270111436514,32.00765051574796,30.660652193835105,34.94504419397468,37.09946286794927,39.492807340666175,42.63225195552451,46.20898538864514,46.81280069478977,45.63999814903105,42.58259331192229,39.04096047065221,37.34594705826472,33.81959596092099,34.82039175908353,34.36328226565979,37.483674331716976,36.764919406722356,40.10590480718449,43.929968680135666,41.77934792596899,40.07110784273127,39.01369166927921,39.68801039668357,39.10748660548426,44.41641395178353,41.31742132870213,42.78298059806824,47.06355038614776,46.41070705733962,48.03657348679675,46.82515373763801,50.83323642126965,50.09625059664092,45.673366064773425,49.57685280596741,51.97697222534189,51.27152815976726,53.790074841968426,48.72993955998978,53.54792840194871,55.986240716031574,52.07739656829073,51.53759897704197,56.38800626235149,56.02225949473725,52.45303163493022,53.61278786741181,51.67529706774876,53.257975439774185,50.88613838760072,47.25689617716497,44.35128766131372,41.43754969150324,38.60957952175806,36.34724410660867,35.39286053161442,37.5225917999995,39.637775666323286,43.20413340270867,42.37416073105663,48.5192786037305,47.55686347823126,50.340805116677814,49.34655306386801,50.14895992552705,48.139362074356676,47.57257018523345,44.85676476312945,45.33998405951838,42.34873724936485,41.472033142440075,43.69023391753225,44.29109227990034,44.0974571069292,47.02341806388025,44.60750073515065,47.36982508420524,43.82760659533091,41.66126310006571,36.93691389457316,37.005463498735125,32.693833103061564,35.22454050770415,32.41563130247511,33.15155274378924,35.60382975593051,34.223341516858845,36.633290939579645,34.2752219729778,37.42706102273557,32.3146561087101,34.22376282702333,33.348232058284886,28.956495473335842,28.959754586605854,24.265315313704896,25.722566069684802,22.697664733296538,23.766549344857356,24.662962822839127,25.024395121603476,28.585028939400082,29.24786545158112,33.74084552933178,31.788118666078198,28.783390694841483,25.746787721655107,23.313334564141826,21.201697501574724,18.979152264053525,20.978497024789498,19.09516220431699,23.476891023055806,25.77401214012406,30.593848117524583,29.703656925579903,33.8663521215887,35.11482805057094,36.03782404630339,32.46909689680358,28.927598941553217,26.21835388484786,25.416681774210467,24.464886589208607,27.69688336258663,29.64922650939813,34.454140348401374,33.97361850642523,31.571201884537498,34.71700294372301,33.14611160639617,30.04201094431849,29.057884977276952,28.21201255767966,25.24258157739895,25.914945755748924,25.13914943316704,29.172195117342458,27.72359627704706,29.426900422541742,30.808908499882197,29.48803113368933,30.002788767259432,31.31871553950013,30.829804288298387,30.990007398518355,34.26848394960826,32.69041089050149,37.155772044853585,37.06610497067258,34.347649930799335,36.214668654639524,37.6221196032509,34.56164948297732,31.509291452641733,31.79108198615371,30.416432348509996,34.319118460710435,35.64736510537766,36.78850133630441,37.443828946956984,36.31749632818692,41.104672541645954,41.03759176914323,41.384571203713314,40.10939497495704,35.81458479615732,39.893752706749105,42.2481959049812,39.78369257820817,43.175527819361754,42.43806454748728,46.48054474953965,44.29356638353531,45.459584994634525,45.13870749788423,42.336857239207475,41.115012382295376,38.52798946932052,38.289295573936435,37.66361655444808,32.794031001151126,33.51306185833875,30.108346909915014,29.17397676063324,30.63597963999357,29.23834259790888,25.84121177817752,25.594820486195452,27.58019775959725,23.667845014500745,20.1312269464735,23.487624120518774,25.105459725378598,18.894354438274767,19.014032876170944,21.659016070516316,19.147227516331636,15.30629527692757,18.544638757964588,18.937109555346577,23.83316837425745,24.488441199686513,25.422508901080416,28.146177758809177,33.090254789653535,35.81377489003917,38.44691812343194,39.8431048451545,38.60846080564974,41.325790946675674,39.43286915885318,43.423911118265124,41.818019247983266,36.171699559479215,39.28916572272873,42.49027418024862,38.25173072707171,36.610897700692114,40.31042768983168,39.92546612681154,35.650939842010885,36.06549224297573,32.104298943716024,34.90287279580788,37.286430566166175,35.71578318658858,37.935765069460714,39.98441505932111,37.8657270511628,34.114260526480884,34.98759996792063,35.53877454622846,31.341823123790086,29.557901987184586,30.92298451666373,28.859108209291605,25.623503150833464,29.617969487721258,29.5670921090261,24.795166140508407,26.06471201583029,29.930956526115082,29.246536353218,32.70136800145643,32.55248515059617,36.057507678102446,33.74280525559658,28.755073382432332,32.99843018670794,33.80113425511746,30.360591603612978,29.98235874099081,35.623709497022276,33.5823647820054,28.901694221794404,32.210317528892965,36.18719416710911,33.61716087971025,29.977699362530917,25.222792218341866,28.58701997057048,24.2008010333825,24.07740001033434,19.15051758857053,19.641928509641463,15.418036036965848,14.902815749463059,17.85345005259668,21.14206084880767,22.741803875486177,24.00835231755387,21.313440615368613,25.095859339563535,21.700993330924497,19.931558368354978,24.659836154229275,25.58802910273724,26.32473451937923,21.214374228844527,19.974941274339862,21.249823419569836,18.685726765888127,14.736787451378426,17.87171148674599,19.642357088749655,21.075826435352766,22.26654710126898,23.2610680183502],[9.855195434966552,8.199230563171973,10.204249322777523,7.398305632592287,13.034465388551201,14.105849239591814,17.3799299609386,21.117517604560103,21.447780054005815,23.781377798706398,26.722315143489965,28.739295728401856,28.74017237926878,27.61466726213795,32.59513233172171,33.70086263633724,32.02878316332764,36.45042937884768,38.54433788132309,40.417690081168075,43.61191599876645,46.77400024818543,47.49356894028225,46.09704427649618,42.890275776275196,39.75517752765172,37.707658900135414,34.44299318392547,35.71649202676473,35.267288214982806,39.31409615206415,38.023305332020534,41.72229358972033,45.49783727925064,42.90126332008145,41.10833832231879,39.557664147339274,39.97929556243928,38.97567916566594,43.73978927571102,40.79535022678172,42.90806584761758,46.99065460988472,45.99777148979102,47.661575255550105,46.09686754273866,49.994419749002496,49.37366730001298,44.6156341232106,48.09052563377154,50.70952748234746,49.92291663841551,52.72966032536997,47.87316668815543,52.834199602629546,55.41556648212781,51.70549579998563,51.4976423688796,56.33395389952627,55.911995235239,52.784616207666275,54.40091203938852,52.76915216704206,54.45624042300229,51.754782074988455,48.126028814761,45.787839551134155,43.02941790679199,40.60286456795295,38.685216974736186,37.89615438914204,40.43375749806167,42.29714446575208,45.46833820923438,44.429544174879695,50.546791035817535,48.98358549169817,51.82204794485034,50.36333346198835,50.7197225703095,48.38055104115575,47.26489044932017,44.46155302763964,44.38696132164296,41.45559943890921,41.166198993590065,43.838950640387225,44.661521734359944,44.97337896879289,48.26979233871701,46.269547297669774,49.472945869225974,46.07882910348924,43.87383772682778,39.139027929041006,39.70118414562407,35.38078236609092,37.212329796327765,34.16237934103431,34.618671544635745,36.553401007102906,34.392719196021616,36.64081765802337,33.5318434569418,35.931173707002245,30.59372150311802,31.88811799279868,30.483311393049636,26.025308357938,26.825155201633272,22.277228414519275,24.339300217519458,22.25089525911258,23.256491683053387,25.254798562082694,25.402747655836034,29.33076126357807,29.800330360043713,34.96243819735755,33.277445274841114,30.473495017451086,27.426384015422446,24.47218202729846,22.064988364872487,19.57638806297908,20.14721414959683,17.407220059992532,21.509047767323068,23.18048777258032,28.112309642819998,26.349661743645658,30.391623817974583,31.825672475097992,33.29888475690132,29.686054733857635,26.696340864102954,23.18323429716451,23.409538068825285,23.183084634270006,26.737634688722068,29.052776781676116,33.89756877912651,33.906745055227475,31.293116704778654,34.361701693728826,33.22400301343904,29.986204072870212,29.13989276758657,27.86488508597453,25.408344593865074,25.560682343821647,25.775420321942416,29.438057951824003,28.86475691464973,30.883817919076428,31.66618243491141,30.31392206563866,29.98966512903127,31.592360955741107,30.014568275751376,29.945143003604578,33.82931267205587,31.831969173178933,36.22915347654415,35.43120228934449,32.542987785003504,33.747482598717376,34.95090148421319,31.50534467359519,28.93189323393316,29.151988063149542,28.443915335511615,32.50154084612881,34.095788060152614,35.68017157993773,36.45640029524483,36.05716652813382,40.514387728125726,40.13509043923425,40.08851621558301,38.44115112370155,33.963660090434786,37.48791477127379,39.635405143626016,37.408225509316175,41.34134710899285,41.177272547148505,44.796054261445185,42.66325853578627,43.30474515406309,42.5564038137111,39.82639441011723,38.052817948104384,35.24162736436246,34.69832494854243,33.624941675932675,28.804844868067036,29.319917002712923,25.648823212344418,25.2766577008403,26.30859931003489,25.52790642924031,22.216149463515798,21.120479938345554,23.341787901865523,19.99696663755663,15.596820438431163,18.86861331250252,21.377315253355256,15.242523524326872,14.678966594360748,17.741121701333725,16.20825253122231,11.82877461807372,14.493022455752424,14.117001843755032,19.5634120305728,19.131885803192677,20.314554282227895,23.363273444253718,28.070646764429455,31.12277708451464,33.437614319402385,35.095820757562,33.85017195314656,36.719087921613834,35.0903949118701,38.80574320474603,36.90396602501245,31.36532842137054,34.66219091962071,37.49495961570103,33.09440213024104,31.700513876476954,35.491965693803174,34.67178763592897,30.37194453330457,31.28853630161444,27.28165221424472,30.73873362160716,33.02681305877743,31.573737793457067,34.24268898326244,36.45230051585047,34.78118012470303,30.643764164324306,31.510192259697128,32.707327540325096,28.58949129404614,26.257842722888697,28.139536305854993,26.554865487703346,22.793680065310756,26.49357124583806,27.074760428937008,22.616027196455576,22.962750090981498,26.69725783245262,25.462926428362326,28.833564601314695,28.649298540875584,31.77960608277657,29.343706421466404,24.29028187007379,28.387957295618175,28.856881309749216,25.347569203164234,24.925273495835025,30.404888864482913,28.133553666896354,23.425183843202888,26.827738109120123,30.639129885428012,27.941157994844243,24.292916951148626,19.541379314732882,22.856724760497276,18.515452823761862,18.464378773668283,13.462015650404256,14.21911117551219,10.438889265447816,9.286720919129941,12.359830690062369,15.554302894460129,17.406758938127293,18.849674163967848,16.95842527237862,21.107756962428006,18.581249444656994,16.827091562977042,22.092100610656708,22.939861081157076,24.58072374991627,19.54692946730412,17.66431799657213,19.925036967106923,18.199002585908946,13.41289179275162,16.216327306716938,18.991013693301927,20.69645043382223,21.95339844388486,22.90759975587682],[6.9041035172246525,5.392074022740599,7.927362718270547,5.281694045927973,11.21975704125115,9.894721720264137,13.436980571728443,16.672577166105945,16.882263600222306,19.77753306573757,22.47924663397418,24.13939168910878,24.777507838724873,23.88885568776881,28.634348669040993,29.77653101431785,28.678818822125198,33.230182653351605,35.89164254838113,37.69516924263181,41.170301150018844,44.422692838414015,45.4264761776786,44.40085890562615,41.03781541260591,37.7341581547908,35.48636583206101,31.875702396727206,32.58182827065549,31.66645735437285,35.467629120408084,33.92951567084322,37.41412229873966,41.407994979514385,39.03877428160173,37.60619735089042,35.93621310853255,37.00557011458246,36.39911618828536,41.31971656286491,38.80751298859928,40.59447392271153,44.693840564515135,44.13033156216351,46.135980594045115,44.975340086515224,48.89650276399996,47.811252282679256,43.25209328543377,46.98835569901775,49.152627474583774,48.16535076163804,50.71355699086213,45.66875493131341,50.298845329558944,53.102798246547565,49.459622623993305,48.76901969691238,53.636166275271265,53.62764689918808,50.2707669249179,51.5259776950343,49.616560870886765,51.630090576737786,49.15434924988655,45.28804308029708,43.03663676932388,39.922191705844696,37.72570290678902,35.40447883351639,34.91875004744965,37.49719279389264,39.018376921135335,42.42496514760341,41.002076945176206,47.046311814850974,45.63646918318321,48.178744475179606,46.88504545479323,47.50147952449002,45.02735280967794,44.289993531518505,41.1708125738596,41.55915145693911,38.865349972330996,38.119528797793706,40.823631922607696,41.158763287383415,41.635744470978935,44.471007330031824,42.523345925342994,45.63268015737431,42.0884075473307,39.661130027647964,34.95550932319553,35.37004631382731,31.10384124087086,32.731815739843945,29.575857292266015,29.748041540040802,32.11973773882831,30.00400637348423,32.66218855418171,29.724753809239814,32.7532464192033,27.505510320559004,29.05699795191854,28.265579098016246,23.79822678274466,23.821018435128813,19.24229238099014,21.354962486272054,18.764376340669568,20.475839895324302,22.207894385073516,23.07699707307132,26.869140953136803,28.035367061913018,32.87354562594784,30.555667948521616,27.968354943309294,24.652909159831133,22.422534294972646,19.62250380669331,16.601266714865567,17.97594645467392,14.744884979914227,19.294383399608385,21.15845825702091,25.965421261026552,25.17394484507024,29.095554459654785,30.780939429858226,31.476704295046215,28.4218180806502,25.10691545067119,22.55107650178318,22.403441818568606,22.226117607839047,25.372861533539684,28.303171695387075,32.982335954752564,32.3254798871399,29.504684125835578,32.317936929520236,30.55241947618627,27.423314253003856,25.96937744272982,24.519159299724052,21.53338275372603,21.481040765851734,21.108219576386702,24.73504753337431,23.78894075135253,25.861513261911732,26.916221359791628,25.836175242728697,25.767099864295876,27.627129743217722,26.57124175879026,27.23639201975247,30.98047990515314,29.80748406224535,34.00950346597161,33.96819448047554,31.736087857495697,33.088647793220815,34.906437375873715,31.64054402146018,28.79455454788583,28.558664363081764,27.296719643034177,30.807280681987898,31.878751318043797,32.97137691424405,33.312213423959975,32.58505185122427,37.01005812932831,37.15794492344382,37.17524324349224,36.17623655743016,31.45453199348957,35.58310914232453,38.10012893239955,35.9169394558021,39.66802130654083,39.288603295732734,43.343740456172235,41.72040819805032,42.413338222312525,42.034378000297956,38.945755417620155,37.52023627463,34.71195515897728,34.19156293562998,33.439736758244244,28.562571017826706,28.8702316709109,25.372292165434487,24.059342004690077,25.39292291230183,23.73750657370829,20.452833275594273,20.436014022740753,22.206904770316225,18.1235978226405,15.060500599815581,18.44375775809582,19.767651323965776,13.567983531592379,14.21326494868321,16.992435027941312,14.265747140522372,10.791480140576478,14.829893310195645,15.134997792310203,19.950970845789804,21.026200328021524,21.176068050268718,23.855367774720865,28.752050215967355,31.55734340544544,34.00961711552869,35.00996610159985,33.58681778709575,36.12302096402226,34.04850425685866,38.17131201629626,36.79295820300936,31.083352011727488,34.10098707756355,37.57450725022476,33.53624680079898,31.76757566941227,35.50025429978554,35.548054219844694,31.360310934495377,31.626426560415876,27.369867583672683,29.80274219624702,32.040204565122316,30.284868372721057,32.378029793506236,34.371442817228335,32.232096491236895,28.525049715510068,29.39278074941928,29.916050950747817,25.701297863353158,23.954961176573985,25.424083366223428,23.412607665439186,20.147660853758207,24.334842392707827,24.45680343260418,19.792167954903036,21.15728886070091,25.105287865879262,24.312101042150243,27.550800993432166,27.1611070674275,30.796411390254914,28.794600476462165,23.66782557081106,27.834556512534586,29.003234997611674,25.705758244135897,25.172732537333395,30.970298601502943,29.432008453914683,24.73901775547588,27.870586445914793,32.096468733913284,30.004996831077055,26.437947448507025,21.793915371071193,25.87508848019487,21.94927688728924,21.394486960010553,16.351212526228956,15.667940930872378,10.989518877426091,11.930709592341612,14.486121768430847,18.208606563597925,19.231588313477133,19.65265074869592,16.678599661343757,20.22504103425807,16.96209247409125,14.579447330105012,19.160652142318014,19.954782515048038,20.86840692527845,15.841840044627924,14.346720199729393,15.88313860914733,13.668590163148206,9.259131690204192,12.591852166995054,14.934038161075769,16.64581526404955,18.104706971888707,19.358615061039817],[6.136778019240582,4.67694379244893,6.570604771047362,5.8515765476589925,10.380812017363194,7.088461659317412,11.010229381971525,13.50141993018265,14.16936227793195,17.69524159917421,20.251954929056268,21.325991343297645,22.46055580459875,22.150530123440884,26.55817174341738,27.515158228664596,26.925571915204962,31.58203646478647,34.74468986742705,36.26823815493109,39.99430053770261,43.15093045994519,44.45420711305391,43.70646075708627,40.181382196231006,36.90601529615999,34.37152520212454,30.577952970917234,30.801838991343,29.413850843555725,33.263439819789525,31.254407552395467,34.61176776669457,38.79141552044299,36.509372882166325,35.43592616207369,33.46392325124158,35.09662724124192,34.73473927461393,39.541850240002,37.54278799385049,39.23707232946288,43.23878126383862,42.96637118186255,45.289556793738036,44.386785671758,48.252625196646534,46.7877430247323,42.32999519973308,46.11730722161597,47.91832132527766,46.71766599032248,49.108842131219625,43.998382038024396,48.32512412325261,51.38115724817663,47.90279356880889,46.87174053817746,51.73193155679087,52.10228332691666,48.71104814513067,49.77558412325575,47.71762685758947,50.074659332246505,47.714908565569665,43.649216751369,41.705549249201056,38.33231595157878,36.52837117129267,33.96277980016654,33.83623599174371,36.55544541948213,37.643479733044074,41.10657663359656,39.24993777423736,45.162005288674116,43.69729158223026,45.94400822241651,44.65234257925134,45.35745929335035,42.636851304913506,42.07397392425625,38.61792778402377,39.25469067563741,36.85599463701959,35.885887188449345,38.776343623140285,38.693409020448954,39.53353858407291,42.014128353569156,40.292713304583536,43.44391700339607,39.825718134986076,37.171736146133966,32.53788280065857,32.9713943250037,28.815545414122216,29.929383973641627,26.58969617157308,26.294706258992885,28.94816936185147,26.55270059085429,29.600536866868797,26.54697151304344,29.913793571689606,24.731900222737014,26.249377744114177,25.90796201798828,21.485216383669517,21.00085938066907,16.583402367978984,19.008586536205055,16.36083697598557,18.806399073864736,20.646021718752884,22.15249390017961,25.830719737870687,27.571209998371128,32.236495506720665,29.44619508289901,27.198684074024584,23.70787559706442,22.079471522682088,18.909463980569477,15.391406690105732,16.95503643235718,12.958869124126513,17.640313077915213,19.341535838664896,23.924378382123674,23.782039069081407,27.430487431956628,29.43012877308773,29.56126322735978,27.12055695351122,23.799881643662506,21.940003327832663,21.86557059678051,22.03085893373211,24.803657831828307,28.358789713733486,32.80133546979114,31.717532474713355,28.679716590682716,31.158688369146972,28.96464862154183,25.960629893136396,23.952969055197894,22.152790782628088,18.851484325537193,18.280807381042067,17.632482645092086,20.96408205474139,19.938988458506262,22.237830984364532,23.362405923374936,22.628546119871867,22.482406226804176,24.76160198845655,23.83492768462473,25.210489794002743,28.991781384029807,28.518227003648846,32.422660888491755,32.846770246072865,31.215213443713356,32.422755913951974,34.701731578878956,31.506841254718452,28.659620423496325,27.977679118736386,26.482844002370218,29.43785141922309,30.068620739919854,30.81808113982183,30.73771649076685,29.976937015263147,34.17917349191812,34.758509167320696,34.67354098103889,34.20684299815571,29.21067523844475,33.674320955747085,36.44741766518025,34.43591254509074,38.184688498191235,37.82702833681834,42.097166713510305,40.99165852573038,41.522418034582195,41.32643351352085,37.96152587271921,36.662718410209536,33.80457673410415,33.183726241344914,32.55761234311907,27.740306301353982,27.737724749876705,24.364164362646253,22.37329799087342,23.759256898755712,21.486831710669282,18.390802570973573,19.12129692187645,20.427043183127317,15.94136037399133,14.15244605733159,17.360917354038673,17.731888699620285,11.848594909386977,13.44495560205208,15.884573707050778,12.466770451720054,10.15194241352755,14.868154104069536,15.495548458147846,19.641569406799434,21.64999823552397,20.98158072344712,23.329374001858618,28.198740514940035,30.82308500366621,33.27148085693553,33.747651962500704,32.19147533803623,34.44654633434677,32.08567400285371,36.45725037600259,35.466757578128984,29.732987491324256,32.52344895060725,36.41850538955435,32.71084079142172,30.734361999011572,34.40317106134943,35.078440495585056,31.052155337187987,30.941756729167746,26.495638034338,28.15706159068671,30.248013502460257,28.23363362837258,29.900035550742718,31.690278149212347,29.29048427963625,25.92613015596694,26.737536314299913,26.811207337011815,22.5959498619866,21.263498845145143,22.446908958106388,20.197138836462628,17.335887329348164,21.814601301786556,21.691539701499813,17.04357317862138,19.089013939631442,23.09215583725326,22.5604613702587,25.572221312957357,24.993376863346988,28.924453243635924,27.313484008235825,22.229951470447478,26.328001620535534,28.000477106627812,24.948331992272596,24.34696379544259,30.244146781886684,29.299625794336624,24.74420850898605,27.614779756069392,32.04822948684625,30.468088005359487,27.056655990357708,22.641318059439943,27.20830601752846,23.72383826607756,22.781545513364854,17.92094800524902,16.205999944311987,11.356579111342109,13.700188508737805,15.706901184828485,19.593350923932718,20.00471928002792,19.552044208539293,16.075158436317572,18.989141056477443,15.521479360184209,12.51152344353094,16.286716739552283,16.909729229029846,17.36474933921143,12.542647629810704,11.221393546773314,12.198205498650001,9.875983213319536,5.719186053572761,9.406235224673678,11.53710339253167,13.306427887789122,14.989843887684765,16.554460953425227],[6.198648013041886,7.0386718422731205,10.32686008552663,9.388099175091222,14.145698624435232,9.803612404806485,13.215771336926833,15.0822102355314,14.759206788313733,18.48783576406872,20.45012243659295,21.5126869579816,23.44089491731704,22.670687128791965,26.90393755951369,28.26490869962769,28.092707976447368,32.65154777872243,35.93669704782138,37.78659136376859,41.49652355656354,44.911230653932634,46.16352581081366,45.57473894655394,42.14756020630367,38.624830148110966,36.30817229847944,32.343027835496926,32.299374990727806,30.791979634540063,33.90971286110335,32.190346464430284,35.17656971332039,39.4855499949498,37.60004590019983,36.715749644193345,35.01396034501497,36.963804187813366,36.91639054493322,42.004388731818395,39.98874125644378,41.28065560306838,45.37874274982495,45.33849545459678,47.6494894150815,46.94885068325542,50.864384817413594,49.33091440779723,45.07154886667605,49.066599342943434,50.73148636705819,49.557562512254165,51.77285585056793,46.56047945173741,50.73612812154095,53.750830924475245,50.19300727407211,48.90706718901839,53.761471095875365,54.231041413682355,50.56782140227179,51.2959803388095,48.997517461994455,51.34614900986388,49.239150585653604,45.149730131127065,42.85992703140377,39.33177822359325,37.295131175721295,34.40469375145568,34.21479197676161,36.60927631817164,37.82595146068921,41.62997550292482,39.84506023398836,45.736153815390765,44.73069986579288,46.84544232733225,45.904273213918266,46.94548001525624,44.38228032027019,44.21722700009035,40.72881437686572,41.75744955492952,39.410198371626244,38.053292896243384,40.69029853971272,40.34373100792361,40.937464809086336,43.0249081723359,41.060586862272835,43.86066098410924,40.085030853806906,37.363793444406866,32.76830204756084,32.73184496716685,28.62434285027064,30.153570306071607,26.92595643429856,26.518456400617403,29.877220862880026,27.910322129959507,31.298459348091743,28.68266797490801,32.57393263436389,27.586829626870426,29.279185070956267,29.29506820190484,24.95769392841266,24.048730836764623,19.758079306868133,21.948193938452,18.802784823907444,21.36547031657721,22.466682135448593,24.164727535721653,27.564950857569155,29.445337328335803,33.64199467008948,30.628131755615534,28.278144807367244,24.78946918872454,23.59036975919673,20.637676610787576,17.31619423524062,19.7636110560196,16.29747994324251,20.99396322367913,22.890604444127394,27.324921001276515,27.552199679511062,31.14825655451138,33.14674878174786,33.0181116793006,30.701000201055084,27.198292312446576,25.648792280908946,25.170572673793103,24.96333583717433,27.57746227017887,30.87239961237617,35.29311455247535,33.95030239694907,31.05134122600737,33.54777126421137,31.06011029075273,28.17821473429515,26.01334692376038,24.433429664126905,20.733529677739703,20.305222773807625,18.697417662833924,21.975455633562955,19.866423857258923,22.24914341736318,24.09050736547135,23.676322784762537,24.140991083022296,26.412462951070463,26.260183065751104,27.939109985503773,31.34261379165688,31.20275827352895,35.0900894760453,35.91040838750953,34.364158423615606,35.85916255207705,38.18188777601134,35.13102588221012,32.11863551539319,31.502506268541467,29.749315675107002,32.59866338415593,33.04922161626431,33.50074235914466,33.23820874329467,32.04457708820754,36.32780900958169,37.235314078343734,37.327344155291044,37.183352390799726,32.25083293235201,36.983623149692775,39.863619635800205,37.7951802971351,41.28895721237292,40.65589137537775,45.13631314161759,44.02728052594893,44.79474356921089,44.77727251660036,41.3920653154175,40.30477922249202,37.528461995620994,36.98928816505871,36.46398976779399,31.660853373313298,31.641435590740166,28.285063840877747,26.140147707689405,27.409223688735974,24.891598770007064,22.00939653385209,22.828010780869104,23.757463748913327,19.211784441977418,17.85434625699465,20.636163085388535,20.39415097808134,14.76358252730835,16.248679651316007,18.086771740629004,14.255394317063546,12.208625036095091,16.64626993813378,17.929818269662764,21.552731265045004,24.374071691488453,23.878745154068355,25.853520423725044,30.940605899082843,33.142224500456514,36.014205648842655,36.501342957076254,35.204672319067974,37.507357101775604,35.2577210925593,39.76674501288231,38.77278682429532,33.2012670019902,36.052622162550236,40.02302607767652,36.370736767071634,34.49324515878859,38.20460457094844,38.900722930640306,34.890219173696764,34.888543875590784,30.362074145805433,31.892449494719614,33.856749102422086,31.59287956579278,33.04917779621087,34.48624245645343,32.06626712146473,29.03227374441867,29.44281696101423,29.160044863717484,25.195962864322343,23.97905350979625,24.513062022254704,21.98580452528456,19.54103949592234,23.790169464954843,23.070309918559513,18.244291117606547,20.744241311968285,24.677769585718636,24.667087412493043,27.889476586140105,27.679141266598872,31.7195688704186,29.88899339806165,25.15472151014177,29.489795131210897,31.064953132465963,28.007422497602242,27.824622957372824,33.62692205078293,32.5266002660104,28.186308536079196,31.28986164561167,35.555098300760335,33.826971788841185,30.514062331301457,26.074542954206674,30.440072026355228,26.80059937477833,25.588222768666586,20.89904582203329,19.49668971837925,14.699905076874941,16.851225603322597,19.239597486707517,23.094528678183337,23.78425116840495,23.383405104594157,20.056899882069523,22.90122600398658,19.33513121421053,16.241367417371404,19.45650093949661,19.764438963655078,19.730749321289405,15.354506971857298,14.06535604576841,13.968945853404595,11.778440436178766,8.482747067945768,11.10112721828493,11.908268192484904,13.297891586752348,14.834913626042209,16.26151472848681],[6.295793187380009,8.123272812156516,11.043374893061127,12.855452183358762,16.310393678312447,11.38486420139746,14.907503261092671,15.263929617036768,15.999778075810625,20.484720315612222,22.096626658934877,22.006648090593522,24.769724737078565,24.96651134616841,28.526798510081896,29.526266992488406,30.096691848487037,34.70575526220789,38.57754253221484,39.94182136183726,43.93583776579074,47.09383318713801,48.738926435042536,48.42827276384352,44.80980843956537,41.463313564295945,38.74801954648724,34.69346146478741,34.069801824822285,31.88633325987563,35.123920250027204,32.56301795817521,35.251927692397885,39.842458314126894,38.10234663942635,37.83133564997787,35.55505862941305,38.301677590832334,38.48021638019929,43.13305836601312,41.91082790414195,43.27588592254998,47.13410247452017,47.367004531831824,50.06335142035241,49.55118280298327,53.332356527080016,51.39051418859867,47.17081178742032,51.0110736230546,52.28773075277382,50.791146067799076,52.88958443892226,47.716201559217254,51.45134766628873,54.87662093329674,51.658627402279,49.99886818042708,54.79253332173511,55.795782126435434,52.24468465296317,52.804223877030495,50.369736442288854,53.212447779212305,51.224184629621995,46.901310219411336,45.16637569302895,41.356189422683414,39.921800331535096,36.78141699974499,37.072155957331475,39.60158498622533,40.23862278546132,44.054593716978275,41.67139026127573,47.275901168607994,46.143210684809326,47.76522592183047,46.76953672078845,47.84654644649833,44.820085713305595,44.77341057962462,40.72428691413244,41.94097173894758,40.138620044813685,38.67718953772318,41.71542791957428,40.750418399685515,42.05618611888112,43.58383055667839,42.08462168570044,44.9367089386406,41.0889606975571,38.00395385969402,33.63959160387745,33.584621218952435,29.78828191799809,30.344186397502305,26.828752211344636,25.22104380850588,29.23427952835909,26.46134705776938,30.641949235698025,27.523098331996632,31.63088623768265,26.770617180720983,27.813972695876632,28.339604714403794,24.13452271358692,22.908771022118177,19.323453343667584,22.392665716901263,19.791300197664736,23.229749185348968,24.76304562164853,27.08756325582442,30.363070596492502,32.77670256920381,36.871704106168515,33.42223903424706,31.54412527732932,27.94946845572695,27.302241066652158,24.015872876440305,20.273204673545624,22.334811569510517,17.75345147716459,22.202583263428608,23.361226599508512,27.36442067671794,27.957447844808957,30.912780763564843,33.56780874312785,32.94986889007542,31.611735710267553,28.51915066597189,27.397204047168042,27.580937078444126,28.041238880477085,30.355492501404967,34.34844873371172,38.50284995269103,36.88712703442551,33.72771372363482,35.760179330287926,32.91331911030456,30.226029862640797,27.414318716535337,25.20904859732582,21.336411530056623,19.690799413738617,17.7687229160563,19.73730852505538,17.130215388589587,20.49351440335144,22.61271000179992,23.171135260816698,23.227308516293967,26.41292448872461,26.10386107161798,28.829972145891922,32.446871322049994,33.11302216944028,36.501825859381384,37.61357660306177,36.7286348248875,37.704777174035755,40.419769393275665,37.26405446985658,34.55374811678488,33.41661459997888,31.7737202621208,33.94412176230302,33.893480014615115,34.01779736240326,33.08986878598372,32.1746965528467,35.79735422828299,37.35622078806988,37.06960368387778,37.639839506325124,32.24284793641246,37.098396027836536,40.21191624432859,38.58487926275756,42.33222511998985,42.0121653371682,46.534474886748995,46.12566724965178,46.4298958200152,46.41089175129989,42.7486482514634,41.498622389422025,38.53388310479708,37.62849743170418,36.90451558475656,32.29566425089462,31.57203279147367,28.1315870940123,25.438751793543958,26.028263645823145,22.950513788507486,20.860177021662096,21.883640737213415,21.71453211549036,17.18330201255059,17.52983750206584,19.178479094464727,17.40718706472894,12.918140211886664,14.954786776057647,15.651309987200104,11.205895183096416,11.086399525293238,15.391889785326345,17.386741789095694,19.518031694968045,23.923655921117405,22.64177589919216,23.78760541321893,28.849502594865186,30.42617825307908,33.59861039695443,33.59873028760816,32.52614468878753,34.66067333229159,32.50631551067379,37.27662719452444,36.49308837268359,31.31639563603451,34.14082457242618,38.40006217485221,35.163973861827664,33.4466027131259,37.222673674583326,38.35546443513119,34.62040834120021,34.8169438444359,29.868392391178972,30.830131229918802,32.23352007470264,29.29823461388929,30.34073748153386,31.06001966073872,28.83671620369858,26.359871368537636,25.935829651588804,25.231188500597263,21.827359248895732,20.642562294834967,20.25071858960356,17.500234264614008,15.670491699724971,19.58461857544082,18.248017768836466,13.490618729517681,16.711604891917865,20.461949515464923,21.085240425614764,24.207949653959727,24.305612498133545,28.528080644534345,26.783215660907526,22.658828462395984,27.0940557406993,28.883919971582777,26.157832880628508,26.51361138329501,32.06337112055354,31.385071883676854,27.648740511246803,30.769107618559477,34.832888342038494,33.5419304484293,30.6779260205564,26.676260064458045,31.300895533755728,28.270984577231694,26.188661794875312,22.171159254965634,19.87121278976462,15.462533580137807,18.931758072508284,20.972745594698964,24.807571429002536,25.186119084036747,23.73356136610481,20.8102398903944,23.013380435208244,20.098432140355722,16.00816823172291,17.79704465346471,17.10613995351452,16.921309622839107,13.886777576978698,11.794286361600978,10.342371191545636,10.18728972448149,7.478285387465054,7.532868432798726,6.975986604507829,8.40243518922198,10.375150469957815,12.144207088210287],[8.560049223040167,11.619160834260281,15.393590642798166,17.018112251493005,21.012163231626094,16.045670848483965,19.370903412091323,19.43042043817449,19.570486936121625,24.058176665211846,25.164227358878037,24.954008955590307,28.35225692040569,28.244053936525994,31.557696410087527,32.84148714283189,33.765172197696934,38.25601521926292,42.20379511855885,43.788679566757274,47.75792668994387,51.080434955326545,52.689903256384,52.483514389610946,48.94264102727843,45.44242658099922,42.88236898956222,38.73670518008852,37.92569254321962,35.63444345787482,38.268843935024776,35.881834404508034,38.1677455629077,42.86220549599531,41.4968197729877,41.449126403254326,39.333327902387374,42.35647832689158,42.7495261773999,47.52562642654997,46.33588492649624,47.45857452545876,51.35791307204915,51.74054566817745,54.428169010568176,54.0242396644447,57.83064080327517,55.85604417201419,51.74461143382499,55.67756748522791,56.877095550820776,55.37656598111615,57.37035908992782,52.15192819292481,55.7466417023368,59.182097082714954,55.94873461668279,54.093909076883584,58.86285287383955,59.977725709717866,56.25835319104815,56.554605484498005,53.92896688270186,56.79500559338257,55.01703350843753,50.680313487271114,48.71733119274682,44.7962229098569,43.20778981150185,39.81917978911674,40.06536289997367,42.28564528975212,43.013910209671714,47.09833713675016,44.75984268468553,50.27488132587331,49.53138386707197,50.97633529697933,50.2711256287375,51.60827947940596,48.65715683816044,48.90330424601232,44.77799362442335,46.25812125246942,44.560017333518076,42.862516747575235,45.75750531916638,44.53959870423434,45.73662675185147,46.87021011033858,45.2386326439018,47.75927237371638,43.794350670649585,40.63233797965985,36.39986268719672,35.89783314874156,32.26549176977065,33.057626846989415,29.675641327610858,27.761198651294293,32.4398826247493,29.9014871066546,34.40926133207695,31.532584939409936,35.91503445806709,31.222919579481555,32.16893148880131,32.891491169840585,28.754065959673934,27.41220251187029,24.027328656561213,27.071468193629915,24.310086872980968,27.76536920126182,28.907670169038493,31.28912719412672,34.399461314965535,36.84797059100738,40.64291773377732,37.075462241168985,35.12424634635417,31.57193243994312,31.148341706093465,28.04061744894745,24.46375016914333,26.916107022599288,22.554975551643995,27.019844983169634,28.182779453645527,32.10952145651586,32.74799298425672,35.60358402904211,38.36028395771656,37.66719309450567,36.446199216205834,33.33756993918153,32.208593820617736,32.31547956691898,32.59957166239932,34.909695911688935,38.71183937789807,42.89773414456189,41.17969457178592,38.112926345817876,40.1675323119663,37.164670598179576,34.56022377905317,31.669621764296824,29.58026775876689,25.530817955301618,23.891979024352775,21.378218329679747,22.935207626705207,19.331203947992513,22.894417904804882,25.653215465861894,26.641215947362042,27.066952052409473,30.315630886134354,30.45984813964934,33.40345501742131,36.818741625464014,37.67598764702416,41.04135291397681,42.33105396129739,41.44855939185843,42.52155044648934,45.21112421459348,42.05558808885743,39.311690356971226,38.23492785191902,36.54386790764664,38.69576890689587,38.55391329846132,38.512870045610235,37.415358415779586,36.2890843379677,39.8287924237924,41.67498588782893,41.43075117183312,42.25040259890709,36.849883527968686,41.793710853148035,44.95743422356698,43.36309343621573,47.03797021718967,46.61486159457321,51.22796834707142,50.82501395618891,51.21136921774255,51.23274089332121,47.56825802797093,46.33777213520689,43.36303608418665,42.417526685871564,41.61111021546073,37.019865934437455,36.16961462358387,32.612566326676294,29.95936401365479,30.173416539721927,27.073120859599317,25.307182035566324,26.042725618660647,25.45525496030552,21.17724901952383,21.64519779265584,22.703621361289795,20.48209737363537,16.52528903054509,18.06854260788148,18.002362122838967,13.68756531972897,13.784546284352182,17.191682637143114,19.829163201602455,21.12592345050714,26.39552866846713,25.391218309017983,26.000326678921585,31.198065120238525,32.15051238991633,35.85286461210417,35.97203268467381,35.358619068919076,37.62859904025462,35.833287173603544,40.656104964809884,39.71750606431739,34.91150190840199,37.911575987385675,42.09341074071307,38.8978649567013,37.463456372191374,41.34824658890621,42.31960658707297,38.62127968640335,39.211961105753886,34.10689198927546,35.18732385118923,36.34084676749444,33.07755552928206,34.03253451567028,34.242094435364685,32.304476489563804,30.149619419515634,29.053603715567217,28.17606050088264,25.324860001962367,23.983289802503858,22.828561215999787,20.034469621417315,18.63162882678993,21.76627613104562,19.777743376806715,15.191553117116577,18.437418644825808,21.803684054615424,23.061641524973005,26.42169771371077,27.14862180946608,31.279074781779272,29.122990119275656,25.644399901874586,30.318944930290947,31.776816300094413,29.071067545331204,30.063492807544744,35.33529545371923,34.355787335371495,31.018076402664597,34.48615269549929,38.18462296077744,36.67579177273695,34.02463248238399,30.081448505042854,34.388802572399314,31.29254105265133,28.792593063118325,25.164326042766294,23.23944573556123,19.075659912062704,22.311953474157225,24.717172826648667,28.468045791303933,29.214880446141443,27.817789444877196,25.33928223783286,27.648510084893793,24.91013352391782,20.720792283540895,22.257410345493103,21.147176864020235,20.866818991194883,18.453564083465615,16.13611122304155,14.132611727088252,14.6420487410977,12.236394760936468,11.269906403065708,9.394756371180037,9.909238363322872,11.23805137032285,12.455754242272477],[11.060068792424877,13.630745942759619,17.094029559475732,17.45191044779009,21.39604059041833,15.636286210820588,18.2973055990823,18.195324183024493,17.294107618397554,21.56253475193752,22.213341443557557,22.22002967300581,25.93289480693223,25.347691032385793,28.51889306583225,30.140683218148077,31.2469188806289,35.570400354764224,39.501916828942,41.384484262205554,45.26797535507082,48.81905541000382,50.33268805291914,50.267178517242534,46.84811000980153,43.142671458246994,40.83600426782537,36.595820505814736,35.639913857623334,33.42244307323989,35.404244563232375,33.499749356127936,35.56130916818911,40.20762353281968,39.12405334190967,39.064543746608834,37.36538001726246,40.42570351398799,41.065947098750655,46.18801301257053,44.8277624340871,45.519557647786876,49.521210146611175,50.09757366059024,52.71621967742337,52.53171027331982,56.38636116897429,54.37517834432723,50.50840283051688,54.707312745721886,55.79368868376456,54.40195179412884,56.202174190438264,50.886636069466995,54.419166241971205,57.67506774532211,54.2936312833427,52.282778710777244,57.03302859932592,58.11330393721232,54.12935827643399,54.15270169418065,51.37018567455998,54.112780078246885,52.54117258091625,48.2561913583107,45.94093812692892,41.97156113121118,40.16330766073136,36.6045953602756,36.777197171034416,38.7511909858303,39.57574955796025,43.84838930810471,41.66049858884358,47.16452943667462,46.79710462088957,48.246308047664456,47.84255140761076,49.448694395185065,46.802572877453656,47.390362774725645,43.466223656383974,45.274609661202454,43.45717985213259,41.40492190930996,43.9106450949928,42.645269732914436,43.40863409349015,44.361257099653834,42.427684380536846,44.65731549194811,40.635122926840445,37.5529577095372,33.339166932752676,32.5306144207603,28.91950296156952,30.235004877363377,27.09369266319723,25.61108952778165,30.475092257881055,28.731132312809333,33.09205404108403,30.937981287800646,35.726876526457595,31.26767872530951,32.844762194058355,33.77888964772772,29.761308244306246,27.974646061659357,24.424673309730352,26.724766541526137,23.360798331994115,26.640496896605853,27.023334157314487,29.480933313199994,32.277945970959614,34.818297695283796,38.13278688435172,34.438655056002126,32.44507755343405,28.975116038991146,28.95231727534876,26.08407603312571,22.786459035216783,25.986782718941086,22.45573722377461,26.92499515433501,28.605566576052183,32.45090216313794,33.58065126085418,36.654355034573804,39.04916872536644,38.10417308274233,36.702251636092974,33.213058809654946,32.53801613443718,31.928183008358495,31.74328917979304,33.81671760537495,37.33612327082597,41.42069593731213,39.424993143435785,36.54163565598443,38.621612148836356,35.415108266423935,32.9402667367237,30.068795857364133,28.38926767912324,24.134549456577922,23.12079182255379,19.975944473285004,22.074336225888047,17.968447328140886,20.923624445105375,24.04806666304661,24.854806577078335,25.982721492351867,28.771629012470342,29.71902362816142,32.568697246605545,35.4793566459425,36.512262652925834,39.91500907038048,41.61248461949764,40.78962581327259,42.32769279874935,45.081708411470046,42.2169910908347,39.15745432847895,38.194663886849696,36.09360878317383,38.1982829447768,37.962187492774675,37.67876306925319,36.64410230788956,34.97835732387141,38.82323589412405,40.724324009121425,40.83764339871242,41.752830174683965,36.66230772633728,41.88779514042114,45.10405365634862,43.27111297088785,46.49084470576794,45.64408843946124,50.48872248784248,49.9767453352302,50.76045488344111,51.07444031353401,47.42664357579419,46.614932545843246,43.858744232945824,43.22051776331149,42.802931292007855,38.16924487417717,37.695453026291155,34.43215070799013,31.613332053086292,32.47237914614197,29.21230289780257,27.09375887816913,28.40764106466887,28.234923825802845,23.66602390535092,23.99865250973316,25.73683134553684,23.769773394053445,19.46673396023437,21.301675209902953,21.756725907057675,17.330892075478804,17.045410324495634,20.910250707193672,23.21707753758488,25.13982805733106,29.85555448823161,28.903658168917165,29.863996719611627,35.03035317589699,36.24693233894838,39.74337565171938,39.749146965941584,38.85587076535484,40.94477860529941,38.78147003154576,43.62663482995057,42.945274702291215,37.84518794349948,40.58902053038523,44.93930724291504,41.750166537723494,39.98368198975144,43.69724700282776,44.9111212080174,41.147020312646866,41.17648079061719,36.34365720318494,37.08041256112916,38.54227725059988,35.599371528161825,36.329296441521194,36.81951926276609,34.37670072305801,32.3352856271318,31.815181291035667,30.592098102816703,27.423886739917616,26.691673061125904,25.751812341403465,22.779299669898045,21.647095638646135,25.25089560046042,23.296030962554127,18.766231345867624,22.338331880104707,25.8041534840244,26.944732822587838,30.11196524050955,30.43615201194404,34.70280256771614,32.89005903012006,29.073472516939727,33.55009590694275,35.30076251419358,32.58127713428995,33.091647120116434,38.602375402092406,37.79267293036854,34.09657614654256,37.31211967994309,41.334703922980836,39.87193678163032,36.96548061049081,32.82225965068482,37.229954222626965,33.88113558510398,31.880889099982518,27.792836043510352,26.003475030091153,21.481641208089734,24.340966475605235,26.735413730093978,30.590609458696715,31.19772163079449,30.099119145395143,26.926913072142366,29.13757514046693,25.722634043393374,22.045931123433604,23.56660067557984,23.009388063386762,22.016534642573127,19.248594675033814,17.97864771156388,15.802261959060457,14.834700550021319,13.495361409861312,13.812457933387888,11.885706752627701,12.196044774816597,13.329913158683011,14.48731963485819],[9.748881558064289,11.816832936552764,15.2447410089057,14.633113768942682,18.922151995093994,13.427789888188766,16.101090381734625,16.779066399967235,15.564086129292125,19.524940343294155,20.533918891826765,21.180300013974026,24.27652534920365,23.299518513510215,26.936548838117126,28.651542939480265,29.26056370002233,33.625226571496974,37.24607636672333,39.30048240524706,43.06059693392232,46.68494733566657,48.016016816656176,47.76532741422634,44.40930426662046,40.66556865790701,38.4953488549805,34.3225940111909,33.72361228645407,31.870400006019437,34.03552503142994,32.46983987814206,34.84726845496983,39.33501539183501,38.02629422405133,37.5787837965906,36.0853328394772,38.65985730415409,39.10330984086963,44.38898035407061,42.63105056599708,43.392399642208154,47.502588556007936,47.87952671012183,50.31257660010206,49.983299252120396,53.89609912812852,52.10454010947159,48.16337221708732,52.39095238515507,53.70701792779655,52.46818672358673,54.37903183993776,49.06038555407354,52.8715858075906,55.93552968489974,52.393876685320585,50.64594689269164,55.443827318768,56.21935812163176,52.24702395428107,52.46211294954421,49.817659554160436,52.310191256322575,50.59248780950515,46.420261433682846,43.906915334158455,40.11018807487913,38.040145202190665,34.683147924841336,34.61817057128677,36.63618329673473,37.74353343538657,41.93224256959042,40.03032449307388,45.73360943451851,45.28031614427974,47.04777624638372,46.55337371805107,48.0391322294716,45.57503329967014,45.980590698474415,42.337400650770086,43.941592846812846,41.825735161237105,39.92504617353539,42.31046831977622,41.44150718741124,41.91128143792633,43.29787854148213,41.18162517890186,43.52032248052193,39.56408788447518,36.68192640439106,32.27891126836209,31.64419790811222,27.782412746686493,29.51571648331238,26.44056209628674,25.64812235412193,29.957108107517993,28.457553725280643,32.34903355015156,30.28480219947428,34.858803862865855,30.244110074562425,32.10246946070717,32.71252775668015,28.585921152862184,27.019991666365,23.08013211948626,25.049830651831968,21.49877436884603,24.384111032557254,24.69957726793941,26.8410610746246,29.766189451481175,32.032619723547306,35.51466539502418,32.07200086544907,29.849265618884907,26.400797993724247,26.029159508700555,23.26373375444882,20.110209507907616,23.381273364151077,20.268675932044466,24.843355496183214,26.82599449037404,30.907253472010943,31.80933265621986,35.19440505163706,37.28623832511612,36.621243697505726,34.73278382964214,31.083142110241724,30.178738577978717,29.326917131398133,28.89768768964617,31.124727136538585,34.36958157541818,38.58251047907953,36.76709393923675,33.97327751235165,36.278635816106465,33.303511625891275,30.693309882761326,28.153115587788143,26.711685362140766,22.581055445724115,22.101559426509017,19.32058189765636,22.191644404090376,18.723358589564018,21.19193500337219,23.934542704390907,24.11992276930963,25.278708054909426,27.65000670242326,28.47160614177366,30.765026522152354,33.676723322887156,34.245537197634036,37.90299893011606,39.37457219667854,38.2224092190473,39.95022925781413,42.51317212387964,39.678959620250204,36.511845541231196,35.77478701923131,33.66524508729236,36.106045675313915,36.147778194935675,36.09421873534818,35.43184842757465,33.735888170167705,37.924047913383525,39.408517419463415,39.66301903202919,40.14117851676968,35.24050126197559,40.36235550578976,43.44796347476817,41.410503708123045,44.5712621722271,43.63542623279341,48.415703725777064,47.561248449620116,48.51670345656415,48.79308037066807,45.28199637974434,44.50559815860095,41.82368115183756,41.34380063826376,41.005645492878976,36.27904198518893,36.1344700433539,32.90931166517563,30.346746256888878,31.555647773783427,28.567703896691636,26.02216671541362,27.263090109273506,27.656532058284895,23.0097055437804,22.57843947990552,24.901045107588278,23.702039419906175,18.727504172828183,20.4404093164269,21.542356931790405,17.28312602249175,16.156490420663815,20.305382435874108,22.197007536909204,24.95248563580741,28.807041679731785,28.13416443463512,29.586981867028666,34.764165413255306,36.43028507956505,39.67582528261844,39.90351080887525,38.80326058592459,40.97111266150954,38.698574393224284,43.41689890607723,42.63867296260603,37.26220591744911,40.01235128168466,44.23373449569195,40.82363989485131,38.93891149240322,42.61800347412975,43.63835229772154,39.73691686974749,39.62741648885463,35.00264920205006,36.01573238791471,37.784325970983694,35.206347748059194,36.19755329658035,37.15681612783333,34.59057528011331,32.150059080790065,32.150195287673625,31.23379461365924,27.636869186366148,26.83552981076593,26.53577868464358,23.67512944957076,22.038762263402184,26.025033070687822,24.54886556886742,19.82099839007525,23.046785663253544,26.76107106043879,27.43091183898683,30.642412460383532,30.69477016474505,34.91204918582406,33.11322571921973,28.837469321040906,33.25726576717083,34.96813131407951,32.072746653407805,32.21926245976005,37.91500624498388,36.9627138070883,32.909609248036034,36.059199664255395,40.24322210504857,38.62394530556882,35.47603813393806,31.136504036204066,35.490561769014874,31.90486538676644,30.360675254314245,25.92164853920456,24.427463144473883,19.718399724079145,22.092591751462074,24.54197712332535,28.400880677062833,29.068403279418607,28.402892529128984,25.00503250843604,27.480115930840235,23.783695717241685,20.520610431566357,22.75289304497279,22.703905207343507,21.89762595868423,18.326986027903118,17.335921864681925,15.909229866922148,13.978006177539871,12.191303066264366,13.685874171046716,12.752139103307204,13.450230422138336,14.700173386466123,15.952886478676948],[12.334776095307777,14.748710379892964,18.562119991185163,17.462982240267387,22.126207352900163,16.814894672747442,19.23063216782515,19.970256079545646,18.136610677235556,21.731953506868223,22.36490700265395,23.252099398311916,26.535361334935967,25.03199697968275,28.568597429190998,30.61559252351595,31.28957339608721,35.462784007162206,38.922377926110606,41.303430501186504,44.91614731474252,48.742170716605685,49.90935147968376,49.67889044901521,46.478346445326984,42.57380593646333,40.688202896196046,36.50805076095765,35.91941922190761,34.20780207174544,35.7887523587627,34.67825923764938,36.80342503752254,41.231898553084484,40.19689172015143,39.7335036371157,38.58277194659599,41.11344413936125,41.674721398380576,47.173991175317,45.21212028753322,45.71572505113688,49.91002038006031,50.342944537751826,52.637896241826304,52.367980809948016,56.32428831168409,54.62599097665809,50.804968362029236,55.15821646699576,56.507511387254695,55.37244903026992,57.20950209370089,51.8563673844008,55.66942156496955,58.586427732127184,54.9305673999952,53.138472177820965,57.912481154339396,58.60497013226284,54.45786717010112,54.49097027316753,51.740031525635466,54.065682961277666,52.50962296399635,48.43018639070372,45.54967803542491,41.78056624698784,39.39969033733797,35.9416918646167,35.682065624540805,37.34261857007683,38.71311155150578,43.09465680236604,41.4558676976729,47.133191814872404,47.06770248610071,48.84489174084633,48.62433518744307,50.31508312420093,48.093143239013,48.71134129410009,45.213873711430615,46.978262961759825,44.78084842486629,42.71495576604433,44.82580570838804,43.95475452788544,44.081117931905716,45.31537732411581,42.93523474808503,44.95139883700393,40.95447166292545,38.16974477802896,33.84616542495171,32.844830058560845,29.0718361628588,31.32829153313133,28.51204991730092,27.91763154376989,32.4505567390871,31.41069356893225,35.26506074797541,33.560202091852,38.27882947420716,33.762523036914715,35.76057253370579,36.39126118676375,32.274474463250975,30.674355260735663,26.69700656832395,28.424789977504574,24.66401255852202,27.30936246211581,27.16782016324097,29.16068993081093,31.898538386422736,34.02462067788221,37.183271604734784,33.80631381781983,31.426699781943572,28.125831979913432,27.849057450936474,25.4114733266567,22.61192658257825,26.22455311177049,23.59717531316911,28.168414488545462,30.327704490005367,34.435974722727856,35.32853460071549,38.81292523160549,40.78128914497361,40.15733421911133,38.103444216815554,34.33127226175933,33.38232409059381,32.26729447644158,31.517325198891047,33.748483828476914,36.59976769952575,40.838137264072536,39.00123338181454,36.402112460665606,38.820051846997124,35.83485745466074,33.282749665909215,30.886668596818698,29.732106867858363,25.56868318344039,25.40700205990402,22.342060144965654,25.266114754579,21.359399087752617,23.59349392077554,26.651985612933046,26.843761898034366,28.381285788203076,30.505430174460265,31.721608933237345,33.884025132525046,36.528858244174316,37.041261011064684,40.78196766963772,42.340715423301354,41.04068848933707,43.01005665679384,45.45138933493695,42.69723702451787,39.417373117029285,38.86377296528033,36.665288971451574,39.231498313214985,39.324142342173026,39.21615006753783,38.6196818713981,36.66676179363836,40.98209267359948,42.485697245692826,42.90620094170308,43.374168933748855,38.634710896718985,43.80028434302601,46.860710255202825,44.71198481204927,47.69405499573708,46.55710574259942,51.39619707251107,50.3502235608944,51.53448479576547,51.8775196201286,48.449342752039364,47.78150305547451,45.17355530466168,44.792333787333,44.493985833573724,39.73268771424756,39.707858272913874,36.45473680203553,34.0085075538875,35.203898980650216,32.28557060901186,29.716894916163984,30.80906852716442,31.226511589492016,26.636195342125117,25.96053127906847,28.238123779494334,27.10692626568551,22.09402958124332,23.520446167077548,24.505176376290734,20.354994481196755,18.993574759709205,22.769752198746964,24.817039610418885,27.501549155532857,31.41955342571319,31.074757470600765,32.4568981067534,37.72911135462403,39.226742067341775,42.68825961983067,43.091750973781075,42.161190456372225,44.43765214831411,42.29575189171252,47.009064341453616,46.11380444525229,40.80056428973745,43.64662261565754,47.788673005725364,44.29281304389986,42.495631079179034,46.2182872021683,47.06680197471914,43.106695731219645,43.12819321268287,38.52375291481809,39.702564064705484,41.48939801239434,38.8909548379967,39.914763807244476,40.7873318288297,38.27393956531861,35.87437525307665,35.74365959878698,34.79798669379071,31.310805502752373,30.448881156575048,29.976880937403582,27.09848916084323,25.51977690634651,29.292654843809462,27.63285925963923,22.918537906578422,26.061217414274804,29.670538755393345,30.504436516840077,33.86704330673358,34.143065476244075,38.3152454574328,36.2956962353859,32.16515995581489,36.708488539045575,38.22675344599182,35.25168767950981,35.58818471751849,41.23263382881653,40.02391223929187,36.015822965952395,39.34370108774844,43.404731615960685,41.553735787788305,38.39774618249775,33.97673363915665,38.07988420682588,34.2949614440316,32.76477108433297,28.38703978371491,27.311647718796397,22.65634020098108,24.604399085260106,27.308318338753676,31.09978974886211,32.03834685088414,31.650472627286543,28.37493727349993,31.023450572747905,27.26409130384533,24.14139964113515,26.500155727559545,26.44104755820704,25.589228166192157,22.04908702261792,21.057490211468778,19.573379097235485,17.654689381301292,15.871205172425656,17.224110203515465,16.045768786192056,16.50933581521269,17.478573645649515,18.42496675473031],[15.223424702441575,16.819633943217156,19.839201028050304,17.689896334770395,21.816871601918443,16.24771852003295,17.741452324399635,18.499065438254366,15.686646512779687,18.64348636615097,18.928779930261797,20.29189540594784,23.443192189864337,21.384907915737074,24.871023784432175,27.20338495033189,27.839101523216,31.79487882078471,35.104948480840285,37.74924185217969,41.21958869258363,45.21281952249722,46.25252291598123,46.10908825148183,43.051630385099195,39.007784596714465,37.38853113676619,33.206275263060874,32.59836654158986,31.110645663679023,32.17785099790646,31.633631154892488,33.674136311339375,37.918366442204466,37.025060926712484,36.40808213000822,35.701660435547275,38.0534939417552,38.76486119469682,44.526921222249534,42.350474283848264,42.489512304014525,46.75019399422418,47.30037509963608,49.4833730314617,49.390695659138885,53.36116949350628,51.67419512268917,48.09417214873745,52.644504017848355,53.91809840740117,52.91789642346203,54.59576450022849,49.208214700700445,53.00881513260638,55.69528531426756,51.90518074500834,50.07182292265442,54.80435237685645,55.37931062673744,51.05171365620752,50.92354017395532,48.11634579466874,50.25336661778174,48.82519088127912,44.850876858001705,41.66124289238743,37.940787596744734,35.33424593493958,31.838763577287065,31.453994314022182,32.93535528629947,34.44514756763306,38.90336044702522,37.48405647160706,43.177092681751866,43.361500159638375,45.24664677378259,45.22392150245827,47.06605163145252,45.17950163005698,46.00973590844211,42.824165573022256,44.77296971987333,42.41875669101341,40.1236084503872,41.83392788304049,41.07243854320431,40.73643947733774,41.979298132136144,39.31704025232328,41.13905413196243,37.17036989293793,34.57510957149597,30.2477490297425,29.10930564142041,25.302605323149486,28.14639778814259,25.651843389236447,25.795239883124797,30.043096830113086,29.80051257170228,33.21807769726489,32.20301031420628,37.06289368518809,32.82091336703006,35.38923634364702,36.107140718163514,32.19081853594336,30.30171338972383,26.254276107771695,27.158232901390942,22.981107574751285,25.230605150821027,24.341307625692288,26.271731524618247,28.657879197006103,30.783632177062074,33.479756172364674,30.090054464533157,27.666964683600508,24.517718875074483,24.583304747976744,22.47873921541088,20.129347188533018,24.329374269415617,22.72439603516414,27.071335664588634,29.672674441189788,33.61105538369377,34.90246107131071,38.548805668845624,40.09027154383354,39.2904499381916,37.03366962542532,32.977403241613004,32.48224073358562,30.679449667767976,29.47838494221465,31.41658663703188,33.92261529275243,37.990124702480564,35.937460224656036,33.56562568092545,35.99669655295851,32.937697977282504,30.532563271179423,28.309580966115295,27.641443969785414,23.5142507096941,24.104834728377682,20.825661141604655,24.346419050623943,20.616781615700237,21.95961957853638,24.9543085425954,24.69842337496441,26.780015843568158,28.26284466145759,30.094655501860977,31.945184413605986,34.06655579657268,34.61882288295043,38.37052629685234,40.23158672168728,38.97319658376648,41.36813672111571,43.82677700372978,41.40949242187687,37.87898846817376,37.451163485982356,34.9030784887844,37.410124545945806,37.46877612749399,37.203252434211564,36.78520118235746,34.402414171500304,39.0056795874028,40.38614907688355,41.15026298577173,41.57209203689805,37.25152688352651,42.5414961894789,45.57307762117353,43.200817214643166,45.71110996803426,44.19110679896226,49.163395787828996,47.98273467633134,49.53669826839618,50.14480155375407,46.79242612229509,46.535346558759116,44.18625495072401,44.12458736418111,44.22129339242614,39.502262155444065,39.87334469975429,36.988962794703276,34.45774014930689,36.28301880100595,33.31802736791139,30.441178907005796,32.0525422602242,32.89961997522313,28.157087533053087,27.37915343406199,30.2539282770793,29.421024726062072,24.23168859524644,25.945348536506486,27.4101304329568,23.23567845325276,21.72843904070275,25.90789519578904,27.53188823914919,30.76396446204909,34.03881698297159,33.62073314415211,35.37065686304565,40.52081081896125,42.38430847129056,45.50439751008022,45.76462364425628,44.48231766735738,46.550524343788894,44.026539655503484,48.69267643329812,48.0645037849319,42.460491947464355,45.0042407700297,49.26166251822446,45.80240771902531,43.66154457396919,47.14861609283085,48.24704577592481,44.27709747531546,43.68076731812469,39.4502535793872,40.27788837752271,42.378378431117234,40.190125949834595,41.045436913018484,42.29050760130565,39.327816310867334,36.96092003442001,37.48205706474342,36.34376392198545,32.5272240421074,32.1873761613815,32.08011942117564,29.147533266678433,27.694815089199533,31.90172092301439,30.439179021313056,25.78573154402539,29.114266018782835,32.85402988928025,33.452257102062894,36.57461682006698,36.37947687973287,40.63328102412243,39.01782612168816,34.51695748265805,38.77021499571575,40.602120364751826,37.65780937720678,37.42942289308468,43.263821538952,42.31565234892203,37.96333889057879,40.915894133881345,45.30394725033206,43.59849225072345,40.21642660678199,35.7022170408436,39.92532843393576,36.03824367967578,35.06832304788742,30.310242151441656,29.234726416030508,24.416379152399628,26.052340070872447,28.517279456582333,32.30353788722842,32.96938813088191,32.82715148866097,28.929783269583094,31.374084852195235,27.089351515648886,24.63814430950539,26.966908086629946,27.48383958503946,26.14399992593643,22.305033298489022,22.28971291405779,20.917342980155855,17.823818238423872,17.01911929017837,19.34215963813055,18.374535590370357,18.823854478742266,19.731576288192155,20.775600860384255],[13.250139803185188,14.293639170616244,16.91558435611774,14.528325236429655,18.539846494471657,13.1024591829088,14.710386220779904,15.901043701763832,13.367544044715848,16.41958433700937,17.2650550245046,18.810091179573426,21.4401592190366,19.575097606113697,23.455210588805198,25.560164557731305,25.841623334605817,29.998308327634607,33.26212577059303,35.740216527260735,39.268161340401065,43.140002833254535,44.20977594945993,43.9309883246178,40.77469024218725,36.83561285498202,35.05493663121537,30.91037031641657,30.513643033480346,29.115711855640132,30.789268766150972,30.036726550107623,32.454535580625866,36.67019259315068,35.427038619429034,34.614367727636164,33.72388091316936,35.84452216972667,36.33879483569237,42.01472139737179,39.77832494175226,40.18634245587068,44.4452275540169,44.82570220758387,47.01661736807784,46.7767029114976,50.75215612202351,49.1206022159659,45.38117017877002,49.838628365598936,51.228405519325705,50.22224575375723,52.03475053857632,46.67347147665861,50.63207739765444,53.34447558272056,49.56148146991023,47.914242227856015,52.69762471955305,53.17599863110299,49.00228315795506,49.138018574211905,46.494802343163094,48.63724938323644,46.98746418470425,42.99357487083023,39.99682956264416,36.349268235645575,33.84352331909353,30.551111473960393,30.18267817057642,31.994630466688783,33.458983176759645,37.70956257135121,36.232982405781165,42.060858813700264,41.87118935003679,43.91835903283394,43.61492342825686,45.21789599843838,43.21663863610483,43.76401538276208,40.59752724361568,42.29501350640421,39.849919252453766,37.78469470878112,39.67008703471255,39.12465510106041,38.92749940746285,40.53212535704792,37.9988417774134,40.15124696501404,36.25138189135092,33.67702182406217,29.185611780726713,28.453035328461805,24.440204550815178,27.051725834757054,24.370279365726176,24.670098105112082,28.460406435208107,27.937878893276448,31.156037352568767,29.87329509930658,34.484554065068394,30.08483316886607,32.64861256574564,33.17035645446746,29.202472862068877,27.486333628410257,23.295609058079908,24.209291523283795,20.10534310372995,22.29646092497199,21.737788774742647,23.587067812809956,26.233000113247755,28.298475887762987,31.400226245750385,28.109628491647182,25.654173271889253,22.373306703032213,22.104229870656635,19.78229378467484,17.23147603110342,21.226634633809656,19.526357721520426,23.913973003914272,26.53158011145746,30.570885067179486,31.710300680211596,35.42801265410722,36.916860864332584,36.2592073301902,33.870261605524306,29.837641790274592,29.214619625721514,27.496404849911073,26.40009391491276,28.453575718957392,31.110581164131595,35.265077495236746,33.35351931337321,30.86608782077449,33.35518000602273,30.44495072494816,27.898328348398078,25.75562502008401,24.98776489633066,20.96532449993772,21.596393337669685,18.760135771319217,22.57765618336932,19.4977744004784,20.83602633960169,23.382074283608468,22.81963306133806,24.591049611563818,26.062695137644212,27.486107095800797,29.129628835005114,31.484707250636415,31.80045443148463,35.64315235231746,37.282943807642425,35.93351383035813,38.230259444587446,40.66256260480321,38.17899795832589,34.68823576830495,34.25275134999516,31.790740039945252,34.407901189533696,34.59264575462232,34.51102111892284,34.23965907270772,32.06871351414053,36.73615884479907,37.88224865486375,38.57070092462649,38.76073349642109,34.402613041958105,39.58138372226508,42.55577207521698,40.172485678872235,42.81942587264324,41.4314276036963,46.31067740729312,45.08666044566279,46.537337609036136,47.04938889819758,43.710225945334855,43.35638224259401,40.97725291535511,40.90704577524129,40.98557544274057,36.254111707185274,36.69015222521569,33.83603784295334,31.38712840249011,33.34258449286713,30.500319859682346,27.4743321926571,29.09729681355872,30.17282767769983,25.434008379158332,24.448696057241392,27.56595902902182,27.047181692084703,21.688197781198323,23.464109814491263,25.239632202717573,21.17317787368748,19.48351039511436,23.876104452054125,25.204348155998673,28.773236246995168,31.609656597321273,31.13096999214716,33.10855989171226,38.163630363992056,40.295953612856735,43.172141035496566,43.436215305593386,41.98682790124018,44.02910683503003,41.418655256218436,46.00355195498924,45.38202795579742,39.66383363209162,42.15731295391131,46.36846611391891,42.87158254312685,40.65538665201765,44.09812581092404,45.18462133104955,41.20341074487151,40.50219996227347,36.362261265074245,37.24411417734478,39.45065289527454,37.437731878371196,38.40837603465722,39.895905429244294,36.90006079839729,34.326169469821494,35.12295881084412,34.1745603356599,30.148706403161352,29.77992843591575,30.046212357850973,27.214095575308196,25.517059028052188,29.931906740335705,28.789952469584165,24.106722190531524,27.27361434045064,31.125290849908556,31.42963136762421,34.46466712266063,34.045775229786976,38.261106433003306,36.770336054386924,32.04016753594704,36.1666146949012,38.061130728601604,35.10778084528606,34.62664334351405,40.52201277192582,39.65400716279701,35.16034634368877,37.96821708309735,42.460684803835,40.82599743024283,37.37085338039605,32.85492483751583,37.168647572949666,33.3279642491385,32.54956767123668,27.65471097132265,26.483705734186252,21.63392991072873,23.2533352069971,25.560224021041048,29.348949921020033,29.88001566044718,29.775020490918514,25.752019676767812,28.208574810337872,23.87528174854902,21.57508188077305,24.154619353984774,24.894491790304684,23.720465619722837,19.53977141306706,19.650177589912673,18.69259981821544,15.234962624444632,14.281681926385298,17.137152370190265,16.735691547513355,17.45057297556244,18.538122736959867,19.77799644524235],[16.375155258315313,16.72997620129705,18.664176772837138,15.113476148929783,18.658677322457002,13.819697549700159,14.453826434113331,16.156424395937997,12.783347170590346,14.646036792422427,15.449797471696552,17.882790549604533,19.766185786303225,17.0828017573012,21.22562249756038,23.60646597084857,23.429720013026607,27.35454554615485,30.18048167622263,33.01608798788082,36.29188631653439,40.34127257150915,41.1512288133997,40.792563100493496,37.82597231598447,33.759006280520616,32.34098902196819,28.29766876127948,28.19163377969043,27.29939837145968,28.642802673083512,28.624870852385754,31.13433683630859,35.02531777697753,33.76449851765121,32.56239283413247,32.1953269879145,33.7842547725037,34.24335218789327,40.18603254335911,37.500394563601745,37.664851184088924,42.029649062239194,42.346310820429366,44.28636860742556,44.0704201996284,48.08478739662552,46.64417669802272,43.056926047181456,47.6581630638219,49.155286069734665,48.37191831222045,50.1325472456216,44.78225607541334,48.895351400962376,51.283337806420164,47.30596534572582,45.825935283819526,50.57904886067081,50.74724623409786,46.46170973760121,46.606119385823526,44.03168409678425,45.82405340137308,44.18116905140386,40.38438522191632,36.98970054025576,33.55053052612049,30.645376573528946,27.520778699742216,26.82494077407978,28.48314470717387,30.31818830970636,34.53886449728791,33.49907598359179,39.43640230720661,39.3999050469186,41.74065511272575,41.539705481738736,43.166791365655065,41.57088620094582,42.15117624471138,39.44616790922342,41.12192156658115,38.385201889165714,36.2792637929634,37.741387815103046,37.566815679267805,36.79745020478386,38.69228763016893,35.83181808737177,37.870928234937686,34.08602804429424,31.847726638921458,27.30886061466743,26.597770979510095,22.479456713349197,25.8178370035879,23.532095910911497,24.8070571033115,27.926700145720783,28.151470270231208,30.680048306518746,29.984928707058632,34.449631453089296,30.25349707258962,33.29847284797346,33.66846081154335,29.874398498212088,28.164396700103104,23.858419719425356,23.912073403584348,19.542182854675776,20.96670760042728,19.69882672505695,21.13012471017318,23.524030199982064,25.291891215318735,28.103111304840986,25.06919740044582,22.3709416487832,19.30555790072727,19.001997556783206,17.187297594492954,15.354951410723396,19.78170049479357,19.38534571349477,23.45248507874652,26.511494227364466,30.465423927003584,31.68650870352712,35.632873812389754,36.601248862862676,36.031033479971455,33.206970029925905,28.943315198522768,28.487039348151438,26.093512900915343,24.43033884211059,26.338468992447222,28.39560213181373,32.4886917835987,30.576951433227844,28.39550620001535,31.05984831367669,28.32511215946662,25.8367586442001,24.171566328866078,24.01646722270572,20.28838903134493,21.843912211554112,19.24745240482836,23.685493593000885,21.174061671645564,21.623667621492697,23.795234085881546,22.554116731628902,24.67622723750551,25.33603866284591,27.096629521393112,28.05838741846374,29.948052280044163,29.921712559474987,33.91575062105153,35.5892519830685,34.019699507856586,36.76165604685166,39.01871695770035,36.83654688233274,33.12956999468602,32.98419735311367,30.299782776519073,33.09226575630571,33.45762556707067,33.42543627213568,33.54836198196248,31.080233448303414,36.098499711268666,36.86144459848879,37.88405734575146,37.74128503265871,33.894022790842584,38.995360597053434,41.815665218920685,39.163838811219314,41.392240502809365,39.66790110575232,44.55067198481696,42.97124836156615,44.8173787281633,45.48680923337675,42.33996468287968,42.307248978346216,40.194130174801316,40.455472832576525,40.84580050012665,36.163817438868605,37.07072844738779,34.532658826628165,32.26626133070031,34.74729346672247,32.113367965057556,28.765719045012133,30.57962954441851,32.1737616949272,27.47816319896671,26.039108519386776,29.673854036756815,29.71070165246799,24.1582173819349,25.902229562015705,28.131752791619586,24.292020167414414,22.2341437841529,26.688089030110657,27.577826486339024,31.693590922095265,33.712607930057544,33.39775442158636,35.75575270785074,40.671318517263714,43.16288862039079,45.72697653367458,46.047197460385014,44.34582660062935,46.302756711879844,43.478845088998376,47.90658691227807,47.37503655604621,41.43847116350359,43.73534394319276,47.87102656753113,44.30945494845923,41.87365280873774,45.106817484145644,46.189875401445015,42.17788253064035,41.04781717149441,37.34544593053056,38.180301665136874,40.710436409868336,39.17035447982537,40.17195760586217,42.075386316245435,38.825050489698164,36.11839067839585,37.504883880602954,36.61772231508336,32.311055679536295,32.19156067382928,32.91212063224825,30.166667477306042,28.372038574355006,33.024436803259924,32.17457514203492,27.546534709780353,30.576123625114633,34.503206069282705,34.507778362876536,37.407791524575075,36.6561547602602,40.811069653997265,39.53343424536002,34.49965564854649,38.37026177672203,40.354194077618125,37.37280540520693,36.425492687180494,42.40564838139524,41.586160699981775,36.79896744573275,39.31812990971074,43.994100357448616,42.34934885747999,38.69006534998383,34.100594239673526,38.31380458346361,34.333378461692696,34.1672464960796,29.015936897838277,28.120965968037453,23.313280489233907,24.303495937429535,26.425878699348925,30.058735971918434,30.48006613025175,30.835967897242774,26.453817779103346,28.87395254671747,24.184324535458625,22.728032509759807,25.579286147306515,26.88597116980546,25.57592292313491,21.032331805814092,21.845139263093024,21.335433161995134,17.065463236029043,16.569334226852874,20.15355077707151,20.181816995493246,20.95177570271012,21.946015542591166,23.180960693543263],[17.411313222641713,17.254497918928017,18.88808386942151,14.4339129949824,18.041002579077276,14.440791890368072,14.89826353295613,17.476638176405842,14.225777276626966,15.220308355516499,16.50863675738517,19.57485248607441,20.42493024037263,17.3084876669367,21.887603582859146,24.253441142502282,23.319635303046827,27.13097719912873,29.3532733720982,32.391614359038364,35.40173018606996,39.485688448558754,40.00541344581672,39.35237645584485,36.527248954735164,32.474880701487145,31.31215270368649,27.498554054161115,27.974125040987527,27.650128390003225,29.220511292290993,29.615979160313227,32.421316150245836,36.0082559580794,34.49070078179686,32.821774895609636,32.70744592348405,33.58936175292551,33.73497002135201,39.746983497530536,36.55597514613174,36.851516816786535,41.29220518047869,41.29625345156616,42.93344155423186,42.47909192302378,46.53575017858248,45.444598176974694,41.77108154878607,46.33078662744062,48.152219918334346,47.57905955115049,49.48984577020662,44.21870150314738,48.647354114069095,50.77370627727689,46.64388421509684,45.55311769983013,50.306220103877074,50.068188129596955,45.8714721979566,46.29309629352325,43.952341016431426,45.380892707024195,43.54744861043125,39.97165988308526,36.35804268316462,33.259706261997984,30.015759321089583,27.314302812439866,26.234943889789363,27.884872068888424,30.14527093748856,34.13326248561231,33.55000049763027,39.62169529267328,39.46153708956343,42.16968780328374,41.840773996251386,43.26448641619625,41.90258790332708,42.207677302527465,39.884776646684266,41.23450375973677,38.18567286991043,36.36728488404805,37.67104609177388,38.018589722468356,36.92263812646069,39.34178286018526,36.33792514328586,38.47376285176275,34.873967434299004,32.952231424267445,28.35586780772493,27.900065385155454,23.689502131223062,27.337991243070668,25.23162432889402,27.074777743117565,29.490927031760215,29.849482189013873,31.81418323486849,31.14270872022841,35.16614205019342,30.89743429607494,34.05016516973741,34.012098121493516,30.208132097412424,28.89299435437898,24.391328750748364,24.10809396482023,19.85525522891856,20.53848541144336,19.245194937296766,19.97170871785259,22.48389165110411,23.649917303140747,26.688540099198814,24.216412741305746,21.17751575476952,18.323476146076484,17.293576527025607,15.885775303530979,14.622638152201201,18.812028994037135,19.174454608678616,23.072200792239432,26.32714607847942,30.42651614219567,31.22894952804682,35.416714673560236,36.02520325519031,35.87525242923824,32.50813348131344,28.207917243323198,27.363582561271237,24.736483222454417,22.711723130977578,24.843414621276583,26.316825235975156,30.57348669629624,29.037525063847532,27.070661682776077,30.03958152323966,27.775424453162305,25.161577924984684,24.10758418060405,24.282387195997448,21.003872571217816,23.03898044512279,21.10498090913092,25.87390156824841,24.01294727731697,24.215139349038218,25.899944284415763,24.139794108245127,26.082803295161877,26.28881539809893,27.71635143290818,27.911026926489576,29.77445209715987,29.034509264419047,33.29682123417941,34.55119092686914,32.4908571322926,35.42374414551655,37.32806819249821,35.19842944237398,31.43980332358748,31.65403549000784,29.080273028144692,32.313238362168846,33.076585206175594,33.385629797201965,33.970982885686524,31.61128633604093,36.85106603789016,37.08721575110604,38.21219571451309,37.50955257765744,33.96829087995107,38.76406255847334,41.34851782723234,38.51209905676557,40.67489396337689,38.90707622092139,43.58846561169764,41.54153509113647,43.57112067912674,44.1369965182723,41.235307460437,41.192332922352726,39.19076407387868,39.61653180183952,40.03703074933616,35.34871509356986,36.60082661732696,34.129074483343445,32.28785320923667,34.96136571140171,32.7390541580682,29.13176776526635,30.670412916285542,32.73094293623609,28.21145814408072,26.032134186872813,29.995935980982914,30.73183009126663,24.900260299758386,26.333691517235486,28.95358244670546,25.489707151528712,22.87233638987248,27.16147248937464,27.656639027471062,32.28447913664139,33.46044939598398,33.49719311170849,36.19662289453784,41.0121471479104,43.80695324664306,46.15773706980613,46.738663729539304,44.94708159293711,46.999695207540924,44.210074953866375,48.431581207313045,47.74084696752313,41.698572819419496,44.01859560237924,47.898855800252434,44.1465980079201,41.70620206841527,44.875240488158134,45.643254552669454,41.55352132484358,40.405380907014795,36.99767917735029,38.21361966794893,40.96538768737181,39.776728103265235,41.06547458151859,43.31188314491818,40.11506310854797,37.073385027627886,38.78176728864972,38.24553888819501,33.745885836085556,33.44565486749486,34.61992515088676,32.05827655354945,29.885970551495785,34.59458559442829,34.09696567361887,29.434379440921774,32.05328026269781,36.039267040822374,35.704157438786496,38.62960519178623,37.763450874690804,41.7504293479897,40.413749749754615,35.16459340115781,38.927215349727625,40.74034218385113,37.648703729289565,36.46533095491373,42.43754884016483,41.411305463672065,36.431669857890626,38.87683295771381,43.547423087590275,41.71398456449718,37.91004140484854,33.25019933090194,37.20196453920266,33.05746063099327,33.385674791875445,28.114824429810188,27.679567782067775,23.03122452776479,23.28107046397099,25.374012035382048,28.79272072849747,29.340505292119612,30.240127061218807,25.90711715199828,28.576972048577225,23.867587009252272,22.99637324832738,26.462318439488843,28.098788963955467,27.139709415623045,22.180686810835265,23.03812033946123,23.195590470578406,18.725825700976145,17.765977560250107,21.77229903412815,22.42398484464108,23.3894116441371,24.411736221392026,25.620654806201692],[19.959946604306772,19.123766890687165,19.626721260696517,14.892850314785727,17.03321750059403,13.835637980206888,13.042032933452507,15.707147217048082,12.130370999178503,11.85577963902235,13.327033881983882,16.954771786274158,16.853069450627387,13.396680889285816,18.198881592565645,20.502114217590425,19.131820852199986,22.842772149759092,24.88253821810388,27.953926652517907,30.90416879542674,34.995917547321234,35.48514125243058,34.84859122119445,32.031991308422036,27.95798158220423,26.86374281358335,23.094594880725904,23.72498133532796,23.72760527320884,25.367692127880908,26.081960697941586,29.0826878764539,32.38567306389364,30.69797221314272,28.74844387959343,28.87566075040105,29.385026894379717,29.505750058678835,35.615740983169765,32.271841067907005,32.433548737681654,36.89331162942698,36.91112049163797,38.51183000532477,38.15710889413571,42.20724283327839,41.087777927677585,37.54440630518719,42.20019336024226,43.95822172836614,43.465613896229634,45.29768994660197,40.041493152326474,44.50503825103331,46.4781797306085,42.28680491258451,41.26754498419345,45.9961461102704,45.643638726158066,41.434589146974226,41.918715474615645,39.6716400462979,40.99203017551552,39.09033063657367,35.57431832960036,31.93875631131835,28.944950479996898,25.675841294376976,23.173394468443266,22.045169211431926,23.93144353023875,26.163658509068775,29.951728706738773,29.449797117375553,35.5863753513195,35.26549146508596,38.157019553907894,37.73926484822184,39.074123683413646,37.89512325355136,38.165139234982206,36.143762376813044,37.463033306974545,34.27256139507795,32.432408665016645,33.5050213561854,34.1039581082411,32.75723289407752,35.4577127796489,32.397649928838845,34.66556956047211,31.21728622282063,29.515188713728897,24.894136834994068,24.775078807235687,20.51139447773242,24.28825392838434,22.432379464940247,25.00386031873205,26.588315314825763,27.423856631723936,28.72388499157726,28.517412517789957,32.34810690433485,28.401049326660427,31.960987615196476,31.92331316962772,28.462042289634624,27.00453017863608,22.653015044268795,21.507470312796112,17.17100808116711,17.20820930831279,15.309834838187266,15.824373432376955,18.10019110064631,19.25933837075314,22.170094310425586,19.741798241772685,16.662203491383,13.85418762755765,12.92592632236589,11.795665267590755,11.196432069684422,15.71266348923694,17.312774935695263,20.614719571205537,24.156988320484043,27.912132846077878,29.067984281050705,33.26439067979925,33.44628407163211,33.14193104042471,29.664584601651214,25.2252512518404,24.930717934667555,21.69278931272484,19.326533935323685,21.068457110577945,22.36735641840345,26.42475656281855,24.700213990213456,22.859131498772275,25.813812387003853,23.597663041823033,21.081438297085832,20.333170044359438,20.9769850412521,18.08784345559614,20.847253519916052,19.30330426356299,24.415081191330003,23.36884650502587,22.81281648297626,23.900375955004243,21.552733284297414,23.618424948981737,23.1360008465111,24.774623281116103,24.479303187324167,25.917406282780814,25.0928419051445,29.33074080787266,30.76297991950345,28.815636981115457,32.04077897278909,34.0122491356112,32.22913900004565,28.317997343372735,28.56571222303567,25.701460890777884,28.792926652376284,29.546979170530175,29.799539494118644,30.63406754666397,28.093677740169905,33.50413687080366,33.4605549294668,34.82146224373143,33.96680857177316,30.873026470555065,35.6232670691296,38.12367298443327,35.142076923933686,36.9110734199131,34.899638530771185,39.62613403729892,37.53790359974206,39.788829419304804,40.568784026426485,37.72591208875204,38.03829267604072,36.29529711836548,36.99825564266708,37.801159602032556,33.28855741639862,34.869039184402965,32.87917676311716,30.98031064022666,34.19849614854405,32.015377671297195,28.267572571057208,30.30470866939998,32.68134076881286,28.239969240810865,26.196595059486903,30.509655776841445,31.440594873805555,25.8344440525311,27.55004662341696,30.44543838851752,27.10642304098671,24.697158290471595,29.187796128652064,29.28417559489827,34.116421454106806,34.766470523380995,34.53219099886965,37.456347271093165,41.97907514675543,45.07858407734665,46.988880233772925,47.33259731057398,45.18704825677999,46.95157604000187,43.81946597304937,47.89907099316839,47.52556706816399,41.32901542473226,43.25622313288162,47.19794121980943,43.61229015184436,40.85438768557633,43.69468073174508,44.79012249992413,40.8224243275929,39.00784205093698,36.06532409335495,36.814901817476525,39.798486029863675,39.06280828027037,40.16458917734952,42.75868673899328,39.23541382166444,36.25994066848877,38.588452649542276,37.95575493606289,33.264590323921375,33.44458296358152,34.996888444992656,32.5300134945439,30.51111033949677,35.45082546816549,35.220146441100205,30.79999307798367,33.468867773891795,37.45222039826331,36.87541784134418,39.43771186239224,38.09501195886621,42.047469636191835,41.20364351769918,35.744029840235804,39.05503359548239,41.1944613563501,38.27191681512993,36.52175955834547,42.51366600890062,41.90559518087175,36.749963609363945,38.6581214750167,43.58248644009869,42.08130836427325,38.19212170327845,33.66614961715352,37.76579419490742,33.818670561306035,34.5920999816345,29.196834532974012,28.50697627150208,23.998130118263344,24.2068244139021,25.745679438116163,29.012640851850705,29.065697470262872,29.990031765617076,25.167805422731668,27.37624308356601,22.3866581870457,22.33488373811887,25.5454325271918,27.69202198477976,26.43405480861225,21.458589532876598,23.19474062006614,23.57705851149489,18.477630699596286,18.49091824518233,22.94578137784319,23.845805182996088,24.834877258439075,25.830785349876347,27.16320214859647],[22.705684495117413,21.59039500495084,21.93028042521244,16.5780715745957,18.640871060821745,16.99231569669539,16.13504950461777,19.37112238039285,16.106961637753173,14.965173544328936,16.611501971884824,20.616210127816412,19.5172286096991,15.671388909597518,20.504481570147945,22.771198594387418,20.557270707334805,23.80593814979518,24.839913037158457,28.235982044874795,30.66801679055197,34.8035809700565,34.81595878738248,33.79549319287652,31.304989063326197,27.274735612369565,26.7159990694078,23.418025118600035,24.815163861333314,25.610087387773234,27.22368911212701,28.581994826626847,31.732355958389913,34.56333148821429,32.71218702770713,30.23715132734964,30.812211106900843,30.395558710837783,30.156440913167177,36.288633642058905,32.27201376835514,32.478213155681914,36.97737504693954,36.609224800536325,37.713042639650745,37.08082541957594,41.14961775346208,40.54603221681718,37.01219126975813,41.60356003602145,43.76439685415713,43.59669876158258,45.55700555341725,40.470067406829024,45.26189527418145,46.80928829775261,42.43263541719124,41.9132339619574,46.559675472403086,45.65368746233983,41.546412491034964,42.31077836790133,40.362205674461826,41.11922255210539,39.06028526594719,35.94225322092351,31.939985743788796,29.50404864729714,25.74414644618169,23.892670407313275,22.192570292802692,23.841402777216256,26.691895605676493,30.11813051906842,30.351648440520307,36.501777321889286,36.173915046455875,39.48212747634429,39.01404786652406,40.14424246555546,39.380283909790016,39.386965999842,37.94149663175546,38.8979001129611,35.35921160802696,33.85513534794851,34.58209110979122,35.82156929777654,33.96080641850523,37.19807509054634,33.93280181709853,36.14834610785725,33.00227159025083,31.770413488544765,27.269991138420036,27.320763356688467,23.180069680157565,27.315268680246845,25.8104182493782,28.896716868194993,29.804593932983888,30.88552905801249,31.542678127734106,31.479791711088914,34.76858228189396,30.885182943181796,34.5124218398308,34.03652315933168,30.663960518211425,29.661736893186244,25.25442202448079,23.735270735112472,19.749150869322918,18.818935207891453,16.83560274764817,16.222864886367514,18.35226588449343,18.45292534190661,21.37173788417894,19.93891734991326,16.467878316550717,14.346688069200638,12.423363484498555,12.381762412030598,12.976286148077572,16.75599202119961,19.360598075947177,22.223292722515012,25.876673401042943,29.651499187523548,30.298288475223877,34.694601077710495,34.384543751952535,34.589203323452494,30.49450052140731,26.115622053226897,25.37785256060816,21.824080376045607,18.900794709534125,20.805834218966567,20.952095113050643,25.09993732173989,23.939757538785997,22.59632064363221,25.90127606782607,24.41175728028672,21.897627691585676,22.060996268454563,23.18329461808402,20.974852280553755,24.13582931706532,23.199252363690327,28.42160739686537,27.80523422405579,27.062017934142176,27.78745610667027,25.04950096589743,26.95218575366245,25.946275425876774,27.27473612950379,26.045768978236584,27.26499523392558,25.530124484828566,29.994185597820515,30.894009480761806,28.298940069500254,31.828569862439167,33.24886044167593,31.65198708436914,27.709507113148106,28.50582187061793,25.818569243354776,29.405581709021998,30.651279482446625,31.28802455814135,32.67796500042755,30.248848881036817,35.80722437459548,35.145851789711564,36.66361834203479,35.15102646826571,32.58415830679974,36.86760730609846,39.018711547958276,35.82078956627188,37.36968398949661,35.24500726925451,39.648360400487476,36.904106208866494,39.4765632420729,40.16116111068407,37.72000473904991,38.091164448535125,36.57318208910122,37.524001600425564,38.392754776297885,33.968296167660014,35.97969059008165,34.12614852999457,32.777092691010715,36.145836266057515,34.454784557225686,30.515925554706538,32.18135112597192,35.00383958065961,30.833513971739016,28.0449633280999,32.58011984686141,34.19665065674911,28.40756940562572,29.729782648566054,32.92122231728152,29.986678296052293,27.07234141720234,31.251891079018797,30.99029198106735,36.24098550797295,36.02103957547321,36.22556415047087,39.452994705921185,43.84042237109997,47.20520052562788,48.91112980679247,49.56194684232621,47.36690964951164,49.237602174227696,46.1899826866808,50.00731809771227,49.44683722838236,43.205777302685775,45.14724342917686,48.74820978373039,44.97266519179968,42.25130850269207,44.97663791690111,45.671540432811476,41.65778820877446,39.842946748928995,37.32088828024216,38.50874166024584,41.70516564286398,41.365592116246354,42.76265372003585,45.671977619866794,42.247796853425974,38.97341776264823,41.57222047769251,41.2892063032879,36.48494296669524,36.46112336697471,38.389194379842806,36.10482980951454,33.759508694653746,38.66041265258762,38.71668775182179,34.276328160534874,36.54033921020254,40.53636452069706,39.67192502584968,42.27446104787978,40.87779509629456,44.61653383117309,43.67547687754147,38.07995488842601,41.26484865949638,43.16460499326147,40.14373892217403,38.19587867477025,44.09112311506002,43.219334122382286,37.923806664231876,39.73937961895512,44.57544185281746,42.839112515481574,38.83276365071915,34.29549633684871,37.96361532897356,33.86218105306026,35.219593447382096,29.819607191893656,29.735208014283177,25.546228092491027,24.86375630476343,26.339989980923384,29.224650456172803,29.46127546948376,31.057597611914375,26.451970043963666,28.89211598892236,24.05242396137819,24.66219406695149,28.407100115619926,30.798502374295172,29.9036225358645,24.69413774297659,26.35127399611957,27.272798689805935,22.223097851838993,21.74443288586993,26.346774964736994,27.67041783223985,28.778769421347974,29.761110543272288,31.014387548621638],[26.34907239810555,25.08770194192755,24.818785342001938,19.748485887390665,20.54135618067895,18.65263071322345,16.67843284407397,19.255915092802546,15.575251242184628,13.075957223601476,14.147367417969862,18.468576911786684,16.70385488257847,12.317356581525035,16.74808249012397,19.13216255557253,16.73345770719004,19.46597986293034,20.245683257029533,23.91805841855985,26.18917624742194,30.49198626996523,30.448506308681164,29.66319972608864,27.30283983497054,23.100548926221244,22.86426972908092,19.61021417499775,20.91897010895079,22.075814842521027,23.04854825684439,25.101106333905786,28.098803783375526,30.52945597143819,28.817979705049655,26.1765448271393,27.308291551610903,26.65988075245756,26.683113682666836,32.99870628126255,28.931339287008818,28.571771279294072,33.0746226292686,32.975355963495915,34.05441954758617,33.80423293085642,37.82652320017565,37.05510675658331,33.94853297659414,38.765138495361725,40.62516923258818,40.54563161268523,42.20906753412906,37.12754897084219,41.729455877571176,43.055704990286486,38.61167082603017,37.94261141530118,42.489495873609755,41.57099601689344,37.26179541745786,37.79232082515828,35.78089505561872,36.39645017774999,34.499451191507674,31.475151091782983,27.205906904081147,24.829759989928213,20.878423080356935,19.099614275671666,17.250246710062292,18.875345440365646,21.788333364183295,25.162392315218504,25.601695841112466,31.714454150299936,31.561824757473005,34.95602880251123,34.66630316878168,35.93867445951263,35.55507183098188,35.84592248757046,34.78251698815525,35.99442966810944,32.42830943572795,30.612165971939195,30.806953609092734,32.124627375551945,29.763283698989706,32.98664127807902,29.508351666437125,31.560678583196836,28.574613157091242,27.66161208761058,23.336267572882694,23.473560941907042,19.534712734609393,24.027954112625437,23.079667106769577,26.906988927449397,27.151066342208555,29.08487549834498,29.106410004860482,29.906067116301525,33.21155052793757,29.952877320428506,34.02811395495786,33.82934855210227,30.955090687894913,29.540141100962913,25.5432661257678,23.128535489481294,19.091500429860407,17.63591825542308,14.500246102152154,13.777065824574029,14.9280660214841,15.145973666487269,17.070176202272844,15.569106366212441,12.099757448151566,10.463706898492731,9.539432870091334,10.516501843658869,12.283206334662689,16.371875442165937,20.1220176946046,22.211786596833132,26.028816208736306,29.167055109291187,30.509217821500734,34.71802357748862,34.01780970382815,33.76996341737368,29.87025827975761,25.397829540159368,25.65042098495135,21.41579166220317,18.153195912255985,19.150403522267272,18.925093897046274,22.453757563483133,20.732673526702598,19.769918908731615,22.843902236241224,21.204719370791814,19.124239059293355,19.56355398103731,21.36907809669744,19.56737769145024,23.375057941366965,22.42610787679485,27.691393785314535,27.48411321836658,25.900900950732492,26.277014774729764,23.17106964977517,25.487028522086806,23.682220986668224,25.718874716511337,24.22562791988911,24.54585996939549,23.131477892671636,27.30527665097179,28.797652888135104,26.64593714138528,30.586738120536854,32.20100516329639,31.180415843336913,27.09331170884609,27.815119503173236,24.66842826572146,27.725774731376728,28.706917886936544,28.987924407034807,30.471211989030415,27.59031483516314,33.22409832081166,32.49366902341234,34.386670149636274,33.02193160084125,31.079679629744092,35.42470592291758,37.54910310463998,34.24238173902344,35.082127239558666,32.4859637022406,37.05403857032605,34.421651796084014,37.37030558208291,38.485504651928814,36.08481511259385,37.05343405966135,35.90983632770713,37.1814157567989,38.54739003222269,34.414557584171924,36.64427551967205,35.34359904199034,33.73145024743835,37.55344547422606,35.69071119777215,31.79787065078802,34.09703728160086,36.95202019925537,32.79056992846549,30.54013040037364,35.179296356476776,36.57863880849805,31.152218420561468,32.85029873581399,36.044260355320816,32.99776595348557,30.515770541321455,34.92493341839945,34.581149375449115,39.73169030040368,39.52269677010686,39.35388770236499,42.58708936376311,46.77503626072922,50.23362079681775,51.67132194106428,51.97153441807454,49.50194926052926,51.03048160473621,47.62729824062819,51.39285699890181,51.2512930080876,44.942018254821804,46.44660033160598,50.22514300327886,46.74221671737112,43.70707901374472,46.079763174773504,47.277598719568914,43.45832205737748,40.9375199943441,38.82146779158763,39.28249381674277,42.596248040658004,42.562768813342046,43.570414131806785,46.62660501003141,42.82349428565399,39.87011768802938,42.907516110724494,42.291292652794205,37.4535661751092,38.038456411380906,40.02814724229967,37.72349893231314,35.77773235916763,40.82624802436884,40.88699953919712,36.68263169948548,39.23532657042971,43.187698115093504,42.327935164990244,44.59770458795923,42.83877809128411,46.62718086211256,46.1744703868746,40.53017238733,43.343851587430905,45.62928758274961,42.82718469172306,40.49252961579625,46.377037685584526,45.992577005886815,40.652960264101786,41.98940559071553,47.04007235601729,45.699403754182974,41.698344495725294,37.337967835413366,41.20363843998074,37.351027010871995,38.86530008429998,33.44410622204407,32.97227226831962,28.835643687665772,28.45097553686374,29.499433585269216,32.308365940311646,32.05433292202326,33.42619855667713,28.39198791981944,30.189770824494037,25.152204183839864,26.29491702571683,29.357820770105672,32.0461781430634,30.613394453755266,25.748633392249648,28.199739379233133,28.901969384594768,23.47040812732165,24.108296328066633,28.790629005618076,29.912538229363072,30.896920677313986,31.786466004174567,33.09971506901884],[30.201889001419122,29.077055923846338,29.126525601554164,23.752912561717007,24.949582949923723,23.597355009217296,21.861518312681238,24.57475329666406,20.856532573646643,18.26069870358792,18.988825686685356,23.327259165772595,21.458473348779478,16.854930088868382,20.681513238439244,23.200781160669,20.57658928221202,22.472965995034123,22.164191928591254,26.29276967819597,27.80936155996373,32.21575104467996,31.57013588820016,30.55243126135349,28.80422697970662,24.652249935989072,25.27352531851673,22.626416790840842,24.354115011599035,26.095665655512168,26.35263495276164,29.20072902585428,31.938858908788237,33.892922765557685,32.4039057260288,29.49612629886271,31.241410677440776,29.96994874938239,29.89373024237845,36.17740650836924,31.595608519982047,30.93308716663184,35.36764430889089,35.07582379490635,35.56459488970165,35.22800921096669,39.17323732482993,38.91124003609369,36.10693600352986,40.87500138581045,42.97857482130608,43.254477016078624,44.86264770073844,40.00736314806204,44.700923336788996,45.51355519072847,40.92016299570891,40.581073423031924,44.91419969659358,43.50088104685083,39.171427473187215,39.67979085279324,37.8387072374267,37.773433092719344,36.00915925591025,33.53125197322731,28.666634935363522,26.916049099174316,22.36481559148922,21.151672469995354,18.65551433517083,19.384813473908522,23.095594948066328,26.21730313112463,27.623575932387883,33.47823610812685,33.77574704819839,37.41146738468149,37.39234007122234,38.69996848557311,38.90095108559081,39.23101145984326,38.736179999470714,39.843039934624855,36.09205615820481,34.38211547797453,34.033989896938174,35.739407374639505,32.72543422899797,36.06551065609892,32.26431990557094,33.851927646705064,31.176864289958925,30.776436473860304,26.805144210919543,26.69963460704913,23.139069455127412,28.131407933947273,27.62974466657671,31.726088578793124,31.819107958224134,34.13721313865731,33.848030095178764,34.938841719835494,38.02515814166413,34.912896344747125,39.01862617435876,38.62410349548127,35.80070349172296,34.60253054509512,30.58815765971389,28.0691580861577,24.215193058382475,22.373741660004523,19.15957139296392,17.79288971028741,18.39506664139224,17.64373633562321,18.6815329450931,18.27058904626853,14.788101247501409,14.282290288149253,13.15379052628379,15.027506799675622,17.283916156190678,20.872970172079878,24.939720004092493,26.865497674591786,30.681143521492768,33.79712622282413,34.825213994700206,39.12030601506393,38.09221925828334,38.15553679783938,33.90883312061592,29.55150178578735,29.51025232959902,25.141343463140853,21.534374185687444,22.494494686893727,21.002666698706914,24.228084530720796,22.98172006237079,22.750171648547607,25.916590367030178,24.853627483897473,23.032130103519346,24.073088887059715,26.20743043230095,24.71992642210254,28.637170835828808,27.71006000530665,32.955251542584904,32.582777861596675,30.9135726160048,31.375612739373633,28.229767298415,30.647911281824527,28.556146993301713,30.64741200079917,28.68977879578343,28.63235647748448,26.72448314473776,30.860538419900397,32.06303600292975,29.482276531158746,33.695344690552226,34.78029222301015,34.03951190457832,30.002511075546867,31.19281910487787,28.21924436527793,31.50673028115283,32.76609540700907,33.19727378449213,34.988278375120615,32.05001227104337,37.69429400172154,36.64475050938533,38.72597083013183,37.01649030841523,35.56803802267289,39.57729186393662,41.42359840766237,37.976112063306736,38.450637073820204,35.64186538746881,39.90386538049229,36.71333911944864,40.06267362694002,41.18421571288911,39.20703499664186,40.32391948984206,39.43296583808406,40.91290565085525,42.33144208570081,38.303825406721316,40.802709955177356,39.54841382488467,38.29946178994683,42.11932791893669,40.52169837302417,36.54955213028193,38.537374147403106,41.580772511194205,37.52542786491741,34.816726223693706,39.50330896855668,41.22463589290592,35.5969907931868,36.995378294926184,40.27189990117271,37.36283956848109,34.52318628052748,38.69296561112248,38.286438672845485,43.635447423121306,43.048454910203176,43.28366111371307,46.642408233993564,50.85034264787013,54.37660466194976,55.8358873236864,56.40380792677206,53.99821443441192,55.65973002311755,52.37155420101816,56.00925474576205,55.69225469270885,49.38644342477319,50.969743238020364,54.51158541423143,50.871931775754945,47.92501379285708,50.2570671769222,51.10939950579697,47.24764916010797,44.83900092282944,42.969119454463474,43.78004585834579,47.18935591661173,47.32345314676313,48.51099608018167,51.6693730791506,47.945307440931046,44.85347118061534,47.91553598984419,47.45216939413921,42.59260416299835,43.00389669982363,45.06001249689418,42.77733936582746,40.662810388901136,45.65685045610963,45.73896003372419,41.413129579968086,43.80707574884792,47.78689843737773,46.87192455307266,49.28936979659648,47.632227613721895,51.328269051925574,50.68209336220253,45.0079472369824,47.87851649821398,49.932793058056795,47.01420608278168,44.707324246103255,50.52181514223747,49.83547098942568,44.449129329287594,45.85820774096659,50.77021968988543,49.157271508974084,45.0967507707382,40.69811378258378,44.14774193653322,40.11228047277422,41.94866963397555,36.581355311709366,36.646667606167476,32.665047760069626,31.680119478267294,32.86781285491199,35.414507483315276,35.44993572048416,37.30971401139071,32.5489662875936,34.58189426551922,29.69769288763343,31.026257758632337,34.4013557943761,37.105571529110044,35.83874674387522,30.871055190322842,33.11117485733475,33.93599094124585,28.60011305039089,28.826884019799447,33.48452829758951,34.63604030480534,35.62166517399819,36.459819409389645,37.65820189381383],[34.09503950997739,32.65128681352197,31.955168826270373,26.852682165931974,26.771443715437673,25.63786687376713,23.029947777060425,25.21836690975084,21.632465384539657,17.946322671886524,18.295557729061372,22.56271891269997,19.698959443588294,15.21188403551289,18.097413645393978,20.32080774131263,17.266067372284912,18.146756770767784,16.973299443710676,21.324116564331636,22.387497936389245,26.84764054458704,26.020396602606855,25.151617291076036,23.673008138945242,19.488661589945753,20.669748846937118,18.48310510437448,20.368074285172323,22.764040431393013,22.515093168956668,26.104062145608054,28.73653027839686,29.982925160940095,28.492620925823147,25.2573962312942,27.63958749026283,25.744898684853624,25.781645107192613,32.02001440773459,27.316853157316483,26.091324997904294,30.412910905909992,30.282141651859074,30.606879446334773,30.63661331569242,34.459503158373614,34.11986697555159,31.8416140111213,36.73143307914842,38.563334456805514,39.00861382400078,40.318597699884336,35.61328766949093,40.13369198164611,40.592175033438224,35.948753749318875,35.645505457888184,39.791732680467874,38.21212627320321,33.79807369049933,34.22151093036022,32.509577853907906,32.121487143341994,30.418299551213167,28.220325224151935,23.118703682002117,21.773178738523633,17.020454020989167,16.47658024716924,13.665386852909965,14.399000102018288,18.22341177422405,20.813940742099938,22.689154638442574,28.37176291935449,28.648902027076677,32.5071044460988,32.53011611357344,33.79075432374502,34.49590260059744,34.94816616948413,35.07206588296905,36.23313706976954,32.44807928643731,30.625810979573554,29.632555516701398,31.660430739489293,28.068794189930582,31.62809768927804,27.72057311288352,29.22999243618838,26.991670008618204,27.14687181306601,23.58718929860422,23.87241633740515,20.80463149885239,25.731532647968148,25.87760331086401,30.651212620207797,29.688437943597428,32.72537071602489,31.533381053249915,33.42124999883141,36.17214287967804,33.80411989618106,38.23452169380138,37.98545705941653,35.77735486724212,34.35616166493483,30.875673596236073,27.515058267241194,23.998449458191548,21.526311679334256,17.598777232520014,15.884884470639546,15.191133792766852,14.160874418648142,13.680394690008676,13.873071420430877,10.751304098340434,11.61447629106622,11.488233326752676,14.383144219825523,17.58105324208604,20.77051469844077,25.801387479138345,26.775310561768695,30.58175324995366,32.936259854325506,34.503366352733494,38.518884420471124,36.99617892560168,36.71496237307037,32.66281381465476,28.42318492272445,29.305133177713977,24.433860147046353,20.662216493418413,20.593639617985477,18.510130352248133,20.743113598493164,19.06438753932975,19.492594104097495,22.271791995377907,21.414318267079924,20.226161928698836,21.830774285608463,24.63296714379961,23.91832045849457,28.308608383688377,27.739881548350652,32.83744858509349,33.19528091052399,30.782504041362326,30.622769419453594,27.095572045740823,29.612884467095892,26.679755424782954,29.14686129726885,26.6973851956277,25.65457948772318,23.87790261185124,27.536580292975888,29.167596941391363,27.041191237238408,31.582954050463357,32.75301331622716,32.695207406057534,28.66033366979637,29.806121876578466,26.527316182525244,29.202981276896256,30.272290514359042,30.451679810072587,32.470541647199646,29.285157303734128,34.82939412099922,33.48510458307055,35.921920125269715,34.19343908240612,33.600184673037575,37.391965885657164,39.06486368066756,35.54864149811988,35.20014677057127,31.948396559011186,36.177328774041825,33.045097607350094,36.782984421069266,38.33107469273874,36.523755612290984,38.26914710526884,37.84823057281601,39.680893426095174,41.61147883581039,38.009906293174836,40.762089727234574,40.15167791653059,38.77697042065404,43.0284290556112,41.413827796847464,37.52382964394966,40.04138614681954,43.183068702997765,39.284765406848955,37.008145729850895,41.79082763989011,43.45153915981609,38.246490619243,39.946383155277324,43.28923162018261,40.42312705476549,37.95699303980227,42.29201606104458,41.677865443371196,46.98151960747246,46.19015155307272,46.05743024118488,49.47560559941525,53.370909032039,57.07164899456592,58.12654479199732,58.34899911572335,55.62523082349043,56.909444999105126,53.28160752623794,56.74329220880802,56.85288780371096,50.528358752580154,51.60954344255753,55.227044008824755,51.91540681624566,48.66413428034795,50.55272214550953,51.878737824674985,48.276293793239894,45.12578423828037,43.80854380611199,43.91965082625057,47.44545305590768,48.01672014782715,48.85976600182031,52.24093440243987,48.206812069809274,45.39556467428104,48.9753446296402,48.302653722001494,43.43770726515303,44.408641828188145,46.660490518308976,44.47316409430611,42.6784792466494,47.76746781368165,47.99670541964033,43.984923166695374,46.507716177121004,50.409649999699276,49.382812635178354,51.396547939887924,49.31644441463505,52.957115073157595,52.855404055025375,47.134128097321714,49.51196506493514,51.9244804364927,49.264978364617654,46.490100644296994,52.206022616980334,52.0431819596153,46.63148991021067,47.45647316886395,52.54830433127766,51.38108422163278,47.35099103910513,43.20849822510332,46.81550354991742,43.109918610891356,45.18094815310113,39.83224338996741,39.52164088227666,35.71240163893589,34.948591540933734,35.617128333638895,37.999367973838304,37.49917225525377,39.16722614693405,34.09183805004156,35.44853758933462,30.560291791013054,32.52785610319366,35.28047844164372,38.30299125178493,36.66825255243074,32.098406976138136,35.03348572837601,35.846050879997705,30.29562332585422,31.413689274600408,36.148956484029874,37.2989428054656,38.25606729938306,39.038237536158626,40.32691680406102],[32.9266625151927,31.917875436864797,31.7112407097389,26.82336064114245,27.27986778811689,24.9876118825055,22.50875440545466,24.182361924843534,20.035061530218293,16.731860334676448,16.341498400006774,20.509488002359472,18.76101690085094,13.907847880878771,16.516304882564654,19.310242490466674,17.292801814050378,18.422156678237492,18.31556664959748,22.71106022358652,24.20196675226502,28.836747539303666,28.36911873295389,27.999212364525714,26.3544239123652,21.987747305016974,22.840940769310386,20.078659800637475,21.034154330253457,22.698390427278536,21.62449510729356,25.205077658087813,27.376173972590408,29.024054098062027,28.062131553414492,25.38579908389948,27.709355114881678,26.819382798688963,27.403941627619744,33.809507607299984,29.672086725821085,28.139328566851884,32.473433885672804,32.84077476741436,33.5693264422249,33.94183028625827,37.751508113720995,36.96680694197106,34.7910997673616,39.81806191192739,41.2635195739892,41.459518550991206,42.564821219336324,37.66399862836118,41.815658483863565,42.5774595630329,38.04319175714174,37.13382227280162,41.322155410509595,40.2689464483325,35.561535745451366,35.42396928989393,33.22990334076081,33.262280033844,31.985247907564016,29.457550126763493,24.29249743523181,22.28611876509569,17.622187092618894,15.96366590949987,13.454431941608645,13.732115857911607,17.435359203032355,20.936425093969046,22.371691413551538,28.061859821423642,28.927243423771344,32.33899928226877,32.79052299661511,34.546665741934476,35.08545247901929,36.068427379284586,35.71349759872024,37.42507232888291,33.93949797216313,31.59365485307625,30.688432942811925,31.98891220761494,28.54485148865068,31.302092152212303,27.23097091542362,28.343175702360657,25.691260246594553,25.518231622565768,21.89712433165637,21.50841688778763,18.39881707106376,23.818829916570465,23.99320988872806,28.564883841677176,28.429071818356668,31.682303078637357,31.11504408124548,33.16186532532911,36.60180230745218,34.18404436085456,38.62938326896362,38.79662614079222,36.41547119234675,34.569691381971346,31.04248638428249,27.98922530492775,24.004740102150983,22.29734413568233,18.094094560355032,17.36113882675979,16.754942399535143,16.826712580275597,16.09965752703965,14.9876015770216,12.10316012836169,12.208307330966665,13.202635264284234,15.319910182619216,17.821923595466675,21.87759730411448,26.219620140862958,27.716103599268397,31.538920846576197,34.010285665583595,35.966260718894915,39.928206350209045,38.84453315954025,38.155802977281276,34.53325158021325,30.12424519151682,31.211773323843907,26.51262303999112,23.009300555696658,23.01112545910122,21.842222709650166,24.18312259276804,21.957576011384884,21.952164629092174,24.487750374051107,22.804470986994648,21.64275650829884,22.39603369968545,24.94351613424759,23.517644877847623,27.69902316917973,26.322661427965752,31.330815926100886,30.958039152520794,28.532193284903617,28.956532088258236,25.816208029257904,28.821743285712056,26.213411990030114,29.3336139705616,27.750487260364093,26.75735534669334,25.881084840931194,29.406904392212763,31.617427396501228,29.948031239503795,34.33126146733315,35.911155106055304,35.62310326460981,31.520558852183346,32.312213722835,28.85221281287207,31.23815610727158,31.877477263925645,31.635149711810275,33.12163584925761,29.587521884945545,35.10058128589252,34.43622640620632,36.84552014414469,35.78450751230111,34.72591463868444,39.038124527753254,41.051834240500774,37.66612336570187,37.469626570468826,34.20044872627213,38.79922782622472,36.17617710868013,39.733221818450644,41.3781798873948,39.23315520768682,40.927212329829096,40.28272818816761,41.909163343154326,43.738988705717865,39.94363474269755,42.361583837595,41.4969205302013,39.70915911144054,43.786161086530306,41.75013114365397,37.969447575142325,40.66479077990662,43.44478476879334,39.25051216768239,37.39198363038363,42.00994629888917,43.13381524033376,37.90361632344111,39.786149110406456,42.869925415587964,39.628857557697025,37.385678779151434,41.88477346903955,41.65694465286787,46.687459149348264,46.65766029538396,46.38397952065296,49.55666563948119,53.71571194190749,57.12919043209461,58.53493720899347,58.63514063287033,56.05507615586421,57.36701416803308,53.74020187484947,57.49335812876075,57.64936613401593,51.3347829376206,52.540766180507894,56.43755868869955,53.16620690352682,49.9465458391489,52.04384828363339,53.56238607184068,49.89089601964226,46.90920852390933,45.128408214929,45.05862544128414,48.416638971143115,48.55892490778756,49.203019931474344,52.250229875232485,48.14496697723829,45.5761741320475,48.80474727560862,47.807123138713244,43.05224039771242,44.11052031689442,45.92861616630528,43.51552186621977,41.97254224334469,47.06195391805826,46.9266170370207,42.822427397727225,45.69912072450079,49.6182315850388,48.920621908791716,51.05936213752807,49.17144108619516,53.03475428498708,52.82980843169704,47.22642380005688,49.889833796986494,52.38786921007505,49.69548583732216,47.22973872655849,53.089864873489034,52.930345609972136,47.590850858055845,48.70400767117007,53.83324579945948,52.6502353073394,48.652685564909056,44.366878154429926,48.21604858942668,44.40382480386401,46.01493570439166,40.5998884804611,40.077944584199436,35.92785996430124,35.61271034387506,36.58621511227996,39.31839405959843,38.92430280650646,40.24793629243075,35.057145876902204,36.46355596746148,31.378694135881684,32.72566781613759,35.194880916099585,37.94835205982445,35.99344526460083,31.57869006475236,34.445272615532694,34.724678591808384,29.188226294040213,30.526909769782794,35.06528228851551,35.73381135091809,36.51630400401091,37.242922742104355,38.48491468422297],[30.058133296229244,29.36493888819516,29.77020447831199,24.77692674835132,26.189311979351952,23.57780308018689,21.764644009773043,23.734007677350984,19.457481251339633,17.077697483069127,16.9323530411734,21.075549996525954,20.18341298549452,15.34298263537143,18.61960737292863,21.580153243185382,19.90313084915167,21.76326660135054,22.220098145246073,26.434938590587905,28.23585190016889,32.82413673134995,32.48262532228763,31.993499297229725,30.15072479141714,25.7947387488492,26.270335974672406,23.20732581781387,24.07839273685311,25.25798530953738,24.598700809125283,27.559795202496186,29.784953647515383,31.96844678454258,31.011688784472014,28.597576896728754,30.428646629567947,29.99738309479647,30.494122428390295,36.92708309171061,32.87865897478472,31.74491116752975,36.162056669806006,36.41233458493599,37.25740868670534,37.38044547105589,41.28560607787084,40.54414680170365,38.00063088251096,42.958715783514556,44.58448657893306,44.65605087130574,45.96677024010071,40.954125032250474,45.22070284611211,46.24571141809559,41.74606427362116,40.80648181521199,45.12951389107456,44.20323460361293,39.55618531653398,39.48749662168284,37.21017144088085,37.481936104360926,36.14799450406738,33.42425060938826,28.456255131280464,26.19196534572411,21.721835376972052,19.682711200461835,17.45345859295843,17.79671998010683,21.311459000920205,25.094367169475987,26.168065030017083,31.932571596185966,32.78496692456506,36.01599908162151,36.42508167037388,38.2053854599511,38.367131466421704,39.26304768055823,38.4496911570373,40.13074986827771,36.68560001694875,34.415536680632435,33.98196037530455,35.0393978355091,32.04237884288848,34.628837152296384,30.67552273820827,31.851010365806427,28.895013821296235,28.287559220821457,24.39547664832191,23.704942795571597,20.25928001223546,25.636096170104047,25.29812315084408,29.282810311864594,30.006614432024875,32.70544560057473,32.847047984003524,34.30489649402845,38.01489443815944,35.071718863772766,39.2714084941595,39.37108828087128,36.55230033080477,34.83000781563127,30.93837764379444,28.525070705596292,24.29210375167811,23.106060318831446,19.43114367824669,18.97280572031618,19.24615532502475,19.463967035734296,19.768640978136826,18.355147482232024,15.217431339592947,14.426492515157507,14.709793299699983,16.09741353310847,17.852746121242184,22.213550208258052,25.779733355873205,27.976390708281656,31.784966135604357,34.78065861027957,36.39287495637335,40.52840989551684,39.823879264478215,39.34288366893788,35.62797588776636,31.142202636392497,31.623553389357134,27.29741531299517,23.941794819613634,24.611988818539874,23.85319444544337,26.842595548469475,24.89348665546723,24.451902949753293,27.251808024980416,25.433023115926126,23.833879285516243,24.172041620554324,26.211928044858638,24.195726563101523,27.98057889110048,26.27123953508342,31.345356306139603,30.345486757087556,28.50530560937309,29.45481014245154,26.65809879544098,29.599014737168066,27.652957181955852,30.51323422227549,29.334998208757323,29.042049571426094,28.09628319095987,31.943570707727734,33.874437089601784,31.921402797577713,36.07511376745528,37.62655011815809,36.86873200085107,32.76708219672984,33.557042634635536,30.293504892442193,33.07090596824075,33.82110266165381,33.73929674017539,35.03690417451655,31.68465712033806,37.2444781617123,36.81960639567964,38.96543638999228,37.95238373031186,36.26952738798473,40.75494005151601,42.90801387926399,39.58158151961293,39.960429034081805,36.999340526570045,41.63577241477593,38.98539302964599,42.27409452605214,43.635533823103394,41.35475839582372,42.61777795671521,41.639667109716136,43.00844208880971,44.47795527833635,40.38500905828243,42.58979045187088,41.260976042803435,39.51859619110372,43.26163183642769,41.19335409227195,37.38354450750472,39.72439084303232,42.37713251194675,38.04875036380992,35.96087027791645,40.46652280643555,41.54949392572259,36.039080231252385,37.73372621262676,40.716667379880846,37.394974842523965,34.937921807333936,39.33216980192837,39.31670390477765,44.312676829467875,44.54827486945961,44.50534552233914,47.5893584463129,51.99300614880727,55.23943516383891,56.97067089165736,57.29143936847795,54.95743069451907,56.533951105990624,53.15279338095468,57.05305684185639,56.917836542588105,50.63264038588805,52.1978825838832,56.06735044935942,52.58134667505096,49.58257414900972,52.005437431606445,53.21831859745051,49.36991818239347,46.92130126535986,44.715000501149454,45.1061016192642,48.35548482781752,48.14515124030835,49.00655757390935,51.85250195848785,47.96962579594286,45.2353631250513,48.04759363321726,47.163578080295586,42.43870500884805,43.10635298238825,44.7237395538614,42.21887125939892,40.48554749983204,45.494325482648684,45.203264752159235,40.86911661661593,43.700939609833355,47.66865868986916,47.099877786481606,49.53552663997944,47.9756307130474,51.89784247365501,51.29756653568193,45.758349619440665,48.7960986001728,51.05007467638356,48.18144148091417,46.08879428224984,52.01897061593043,51.50078151856603,46.206605960909044,47.75328467390919,52.75066094274819,51.265169216593364,47.26602273227813,42.80425469631723,46.568452845895735,42.537274037043,43.90609985881259,38.496417951529786,38.19418997325326,33.89309957498036,33.51328652745699,34.877702822474966,37.758472767566445,37.73723992094027,39.13211586777028,34.16534687323413,36.02911821538428,30.950887107144673,31.76848496149443,34.62161792645529,37.10354910278645,35.377794326144446,30.72473672804315,33.068811180751084,33.275188346474636,27.925094047785628,28.648615294107415,33.07810637324451,33.66060544079033,34.44282476939822,35.19808007564174,36.37325636689482],[26.29114056901348,25.791216637604442,26.438064141815207,21.725185189137033,23.49647644036096,20.182802623075965,18.68110988016637,20.50901751116392,16.140152534726532,14.539030971239733,14.484339133103036,18.441124699401147,18.343741452772626,13.768785953518318,17.48224512553912,20.462949502029158,19.307760943865958,21.9150165218088,23.318355210955787,27.155248360354125,29.53052276625417,34.021554059922586,34.11245502775025,33.74590630248374,31.481113231653627,27.12455305384945,26.946716080428565,23.4241529163087,23.87753015534806,24.380370306995676,24.20305403064245,26.361260862382505,28.667989869850576,31.42406238917104,30.41454155339375,28.378745690799953,29.60378160921079,29.87891746587905,30.46147435636041,36.87138339677279,33.26081837002034,32.43792136503508,36.893097044989716,37.254086623098765,38.514058924666934,38.61134379139202,42.57965086141189,41.529036141603484,38.685869790023624,43.6222112045222,45.13722185536173,44.92339422137797,46.32569718882045,41.142627375965255,45.33622093723189,46.80702017956873,42.44327373004439,41.240122084571276,45.73081483186459,45.20602548073064,40.59075878648609,40.513168141296646,38.06438309863897,38.88358687223461,37.487437666465965,34.345725351406145,29.83660417789006,27.06039559463007,23.076493108992437,20.482060296124214,18.813162282467744,19.680202207830078,22.574077368964385,26.657188796274287,26.946616308982044,32.85802105771453,33.47714978406263,36.41744243422405,36.68498752098409,38.496431756264236,38.12485813461018,39.017785309815444,37.61286801157141,39.400060753343396,36.15600893142996,33.81113675802331,33.91135100837699,34.531765865519,32.16146062872659,34.48578850008786,30.795108920316167,32.23474692293137,28.92918241874436,27.76952934199657,23.571461003933713,22.806448090973937,19.008481884581983,24.03961982721744,23.183783558938988,26.614149044965014,28.003046849936332,30.207926973924383,30.985573144386972,32.00388112118301,36.04340414986205,32.80183860051194,36.81386818725291,37.068266875108385,34.019351416286966,32.17454103911878,28.175928680567,26.247679667822194,21.80720923921283,21.301775804180693,17.998655984183454,18.225438676750734,19.106772048184826,20.014935642353546,21.09451537197808,18.891221021494218,15.828412576107917,14.101442765667592,14.456490575290234,14.854791568555907,15.698294795290746,20.440738315213572,23.17082506327296,25.844299308102784,29.558250242916706,32.77747982707446,34.44966657579718,38.55000058267943,38.286499055381185,37.66543998978924,34.22707355956767,29.697095863877525,30.090788394462052,26.141556547487408,23.180675739433795,24.137099578282044,24.331727407037704,27.684539464645265,25.570844016628143,24.534827401005685,27.295060408775274,25.028672210996625,23.160919320507052,22.83032377641316,24.352606605297737,21.780454190185967,25.163747273389994,23.113156444733853,28.138165107817525,26.764322906579928,25.303837382897903,26.584260931342243,24.109590423197147,27.01285522942183,25.6544210370307,28.437868136751373,27.894674675571245,28.129837433125385,27.5883077289972,31.500317086214995,33.52556299623942,31.77472608382754,35.59850375788766,37.460922448973285,36.32163257970357,32.247843454236325,32.719585993020125,29.483159436096905,32.2079726023135,32.7728777644564,32.611461870951494,33.54367487532155,30.296604797115755,35.79425603477596,35.77186212555763,37.66220413882319,36.98083122654091,34.68618335146613,39.46610440616725,41.867299531723106,38.70205009466031,39.55700544329512,36.87751675901067,41.70390811554962,39.43621542121511,42.33718538534267,43.57082199752345,40.970882049841634,41.94038366835273,40.64951392952387,41.73913103710193,42.98275946944217,38.708843337192214,40.581253475166875,38.979699306585225,37.00117620384541,40.509335861474035,38.21667479917559,34.505451061478645,36.85679126080393,39.24179240910165,34.7728015708318,32.94699752438689,37.28484239791316,38.045538760966494,32.55922468349507,34.355908158089974,37.16247817677946,33.668267829862586,31.3836495675429,35.8648068656195,36.067354512800044,40.840475633271296,41.56547186726218,41.373735611366776,44.275541593239716,48.80491201621446,51.86539332660825,53.78986863275545,54.038445085012214,51.82236393842808,53.444774653343,50.13534021217106,54.20519420281709,54.04062364588537,47.80951029961277,49.51109004943354,53.52459114092549,50.055579747417696,47.1393130421671,49.75467419441146,51.04272750598199,47.152994520075126,44.94161995005051,42.33869931215053,42.71464258462835,45.79933769045347,45.25216003033396,46.07312775067112,48.68491285691278,44.878764764202636,42.208738331949526,44.71858300688066,43.74865040393282,39.10630403389286,39.69343516366435,41.07893296278857,38.48831080594446,36.82113069529293,41.78869515722559,41.341473716930835,36.96788960882519,39.92586980170648,43.88414635541211,43.47414500605403,45.977326365937955,44.56220415804626,48.5818452136459,47.888410475218066,42.45484877993504,45.67099141189037,47.940735363535445,45.068516340373726,43.211078202437754,49.19552446421765,48.684551878681,43.49060965070024,45.239578026764654,50.2229262010815,48.758377486266006,44.82806510521668,40.319117320791335,44.28992398835542,40.277021118567056,41.25212931110876,35.85125617083484,35.310232615431694,30.830226285732994,30.85971066312492,32.37593606078592,35.50221419559242,35.5169151773159,36.589767365729315,31.628665592047156,33.55964864931742,28.453836327742756,28.755549288389453,31.51054551038176,33.76045156985914,32.00498667320546,27.39258068257288,29.542349000207924,29.51645254082282,24.280685942390946,24.967300343987294,29.25387670465916,29.65993375768531,30.404032170654524,31.190142303701727,32.38766814789356],[25.001833296510046,24.459680936719764,25.405132160169327,20.285500123051712,22.762722721804714,20.253294716899514,19.40373172584687,22.013320313796132,18.113079894588505,16.97627289581675,17.68711675237869,21.659589860135263,21.282392918985085,16.939736571312473,21.166764798938953,23.915217169115795,22.24655699056521,25.055969449391448,26.054530501666637,29.853927748581594,32.09094504197591,36.483304348673435,36.36334336083503,35.59362569400629,33.37343499155586,29.144201857508627,28.99545192518664,25.67033558079278,26.684063126425453,27.412585557723403,27.911231916964425,29.8365547221564,32.46086513267696,35.23514671545896,33.91852471716168,31.645216960718653,32.668820362812525,32.53534101439445,32.69440636270806,39.01061984699827,35.04795439148211,34.68049326246438,39.18003473258406,39.119357171406186,40.14364983295217,39.81915967976008,43.8454980790088,43.178697847391625,40.01962495200667,44.78000005228566,46.724125569389294,46.616791044248636,48.31304572025304,43.20310020584475,47.74296479490191,49.14995962421398,44.721963842408705,43.92518580682711,48.466272812012136,47.63298802888235,43.23324806418383,43.540955279825916,41.341286177831336,41.95841779771541,40.292736349499066,37.283738059042875,32.807867365862094,30.317417935725572,26.222418403389504,24.054492883589056,22.172385866941998,23.11167725550759,26.265923673381153,30.063992489519716,30.590659705530207,36.576012090165634,36.93033388259263,40.08929761356334,40.112456474876424,41.645119810440356,41.19726287622443,41.685347055822916,40.323410216595065,41.697976851455415,38.25890990627227,36.340499542063625,36.66363567299125,37.634861866308114,35.37334025191425,38.11772921930005,34.51819065897005,36.16611547610487,32.95176466926924,31.826559026940533,27.533446888687564,26.982776452454914,23.07447970289348,27.853765844686677,26.710977425506904,29.88950119288241,31.271209573238316,32.92615709623864,33.76212538973354,34.20961841848446,37.924334529643914,34.27083103481931,38.0326027771894,37.86872930352476,34.53889460883152,33.19428510574687,28.883454953095583,27.328394227512803,23.075607017638955,22.404407493806456,19.786621221839376,19.479156344036,20.95739318765919,21.22840948839655,23.081403098641786,21.492045073855962,18.112042797819065,16.359004850615317,15.453608002514102,15.80838040730672,16.534518157106824,20.78522999553938,23.298849893919204,26.24074657820863,29.91484872685932,33.55177942425347,34.53622208480369,38.85348492783948,38.590106096871054,38.516039217068226,34.635186928387,30.18752702202281,29.774129470691197,26.08578469133152,23.07024919777224,24.627024223601016,24.492540119904074,28.284472052815154,26.807088574823943,25.7604318122262,28.8853978327421,27.11129890207016,24.912936691487218,24.90420860390894,26.226025381030414,23.748150881914913,26.940298654258484,25.294670942375927,30.409845511234156,29.090819535974852,28.156147006594242,29.390522891814488,26.896753499071547,29.355135863972876,28.259916242886575,30.3275938580359,29.436334835531824,30.183172493396516,28.915066954103157,33.16943296807842,34.520968451020444,32.160983109238416,35.88174068059355,37.35712568571297,35.957195962918675,31.96178259101129,32.73727395854063,29.863571896231228,33.17380717529614,34.172905861765166,34.468330384171495,35.65915628984197,32.806024427790774,38.363558922940435,38.01372171435458,39.72774105982194,38.56691557112681,36.12315689239517,40.6251841915519,42.86560338351082,39.65331725109577,40.87129148619785,38.44956150664626,43.00602529155415,40.31993734342805,43.13786224694314,44.04203410842848,41.61373118515598,42.22920250976501,40.81315289391609,41.823586251081466,42.78848104932531,38.38227359229799,40.32707043523047,38.453552266641516,36.90521813510438,40.207207084425825,38.268801003578666,34.427903589461245,36.208742468823296,38.79247536028444,34.449836631067896,31.93822285935002,36.312848700321446,37.54846970646478,31.74154480652695,33.12178187260843,36.07133846832424,32.845691968400736,30.04715481401089,34.24010246716024,34.32290822708553,39.35179120681248,39.64930822261336,39.893425788920396,42.93645651833375,47.515622029126924,50.65112453943402,52.63426386429672,53.258183801580735,51.1867713653448,53.078638837756856,50.03627708233283,54.00220418112145,53.47683082004833,47.26699242565448,49.2490083849123,52.97623886240418,49.231940147276184,46.53098340828816,49.30708172701201,50.08230335901171,46.0567039336322,44.282876027950564,41.638310671811,42.681555944298346,45.80172655823885,45.2657863313196,46.49306024213841,49.187933932821615,45.67666955715747,42.62694468235969,45.008970706001385,44.44970531970627,39.75055663523147,39.83793374748379,41.3989026889419,38.91937800629919,36.80866182308864,41.677017973356136,41.392262158577594,36.848055650172526,39.40957459446942,43.40933445288318,42.83795259077846,45.570016011479204,44.348748154484625,48.2275664603213,47.179658334610885,41.70437899316122,45.08556376585819,46.99480223640146,43.941214520591025,42.22548491834793,48.161670149072854,47.2231829538563,41.99985604262855,43.992063935750615,48.79060964470665,46.9746923676574,42.99816892495778,38.39547026378597,42.029502809173366,37.817219900566194,38.95802542642305,33.5966665944694,33.564321194958154,29.213400762977344,28.67804094065678,30.41337204300597,33.39443888480238,33.78304172674559,35.28870669810904,30.700703370490192,33.11957464519806,28.20756422575417,28.493537506743326,31.944513726038196,34.144449095057716,32.93162919133265,27.937618741748793,29.558625220346997,29.968167284308535,24.958575157383606,24.690784950641696,29.0341145150582,29.819942914488504,30.730445675288138,31.598196098574512,32.748037103436054],[22.849636886627227,22.905089505150553,24.44418369796401,19.964440143628185,22.952322262062022,19.136457884443626,18.690492698813102,20.622741942330148,16.47731284901737,16.363748035745235,16.55890447316493,19.972350145737046,20.915484925370702,16.90616278460117,20.81601916840852,23.723860803937246,23.01250358749231,26.122684024633973,27.995806819796726,31.58254847988666,34.227388015382594,38.62427171503237,38.88391718635343,38.462479552013534,36.011700509122186,31.720026103625013,31.18160921996419,27.46482874881634,27.753954705160126,27.72927574321568,27.952372077852324,29.377101975827824,31.652571055633704,34.89521632412514,33.914559738143815,32.22241236433238,32.90430603994203,33.6967361905017,34.2259025778145,40.52795077173497,37.15326740558953,36.69607252216936,41.15901730375431,41.45860271413968,42.882205653452516,42.79410980446285,46.810331379061644,45.727737494672255,42.57443057763614,47.39358573515509,49.00184700372039,48.62144298522465,50.19185007186859,44.93321904517382,49.14729385021375,50.92323503383399,46.655008554415794,45.372371900930645,49.96545782157444,49.64109265322931,45.10534968374327,45.067680228150216,42.53608005028304,43.63565565185431,42.20396759510472,38.86784948729438,34.621117352714414,31.62237716063883,27.898800701814597,25.055869964809535,23.658679318017754,24.57933082339824,27.238559146368146,31.482850599151778,31.408429370971465,37.30477177489676,37.87306103862071,40.57580995179945,40.785597125765406,42.606064563172275,41.826932230372236,42.646393893612775,40.74388778715129,42.507984854556014,39.414092336666975,37.1524191703011,37.741603880327055,38.05047462201164,36.20702363546122,38.28941963383351,34.81017583151492,36.3130043686958,32.77619071381673,31.200391530654393,26.888586038964934,25.895602881662498,21.992362779034163,26.598423849805293,25.20544216610436,27.728730743209073,30.075323579566597,31.542644674107645,33.14223793760611,33.465767476305125,37.748789164876534,34.02108153411201,37.62063340859491,37.86355961857405,34.38880721054751,32.67420577992216,28.4201594613209,27.392496101801044,22.892207111430608,23.148550501625024,20.662026875393543,21.267335359374076,22.847647579041432,23.936023107677045,25.722272409948204,23.30341515987599,20.26377067199019,18.015586062444054,17.89021366890206,17.450343064594787,17.225412229008107,21.931758673803827,23.3872999922553,26.8010269754444,30.301958797208826,33.98567124565592,35.30645374397196,39.45121084165475,39.69777294407416,39.23210237859299,35.89060616134129,31.424011898558188,31.21988468829908,27.901631062336048,25.343267236277384,26.878414909427747,27.61256059872819,31.403000064866735,29.50848896408439,28.074233116432897,30.924389269531314,28.52906720444814,26.352783091165545,25.53651939956593,26.39708113711508,23.259133386591014,25.907714470351166,23.489685276828503,28.303022188434966,26.148994568412444,25.54352292846849,27.427831293020816,25.534220909176387,28.224033964868216,27.729179389798997,30.144034340444318,30.181878463506003,31.129272237265415,30.661941365347126,34.72298693683878,36.506496247300596,34.62496643791127,38.0725025376856,39.95864021113389,38.33072962742561,34.37445249050146,34.73609013007168,31.780201741518614,34.73139382464725,35.317583926611434,35.268290595526096,35.90537635714814,32.93355884078372,38.299941636145206,38.60034189290072,40.15643088197885,39.63218988703667,36.67289611051678,41.586223105722176,44.13993301951489,41.13417977598581,42.587105288986805,40.27473873151095,45.10431056416168,42.948877561561204,45.492671303502995,46.44165487415594,43.6793513824648,44.18082917937132,42.52648523937507,43.27544486341743,44.09070177209585,39.563174068329666,41.07225047563398,38.947655862306924,36.97030037103163,39.966233642661756,37.596889031234845,33.98901508346295,35.9107779750198,37.99374949591781,33.41436396523498,31.49847524476158,35.533698197486984,36.085896552394686,30.402770719577497,31.988432042019735,34.53795883910227,30.920730843512587,28.507144822146127,32.824722227529804,33.38937502020554,37.94151148866638,39.19253124801283,39.19849977881522,41.87775289789338,46.67983676722759,49.44247475858063,51.78696004071171,52.238232717465856,50.35526338703424,52.25421096733178,49.2657436905082,53.50427480340257,53.03405684545934,46.93234570484795,49.02982046190116,53.021654714576854,49.38511828559708,46.7649669258316,49.73848161782421,50.73476544770586,46.70654922836517,45.1492700631404,42.021509102435544,42.844092788462014,45.70484367294243,44.680525424368284,45.69116183906466,47.96526577400795,44.4723970595901,41.70857452010081,43.619326138587674,42.74517090550562,38.25550742726922,38.3822956883233,39.41977190554193,36.73266895098401,34.91823758669039,39.69082953119249,38.99894004916694,34.40729710135726,37.33223467007484,41.290778595441985,41.10726143359777,43.93945006121023,42.964126668315025,47.0347825387051,45.88503779805675,40.64209744917768,44.291105807274526,46.27658769528435,43.250367643625836,41.92294005729852,47.916648269052224,47.03616804005753,42.004890861936396,44.26758292742646,49.03754798285365,47.282050951323896,43.43362204385109,38.79136257823154,42.69023579152407,38.51239289624438,39.030775825065014,33.73703938509555,33.35113598055476,28.720633111401106,28.86813511583793,30.860296200863733,34.1763825095319,34.61090101942847,35.59906332624456,31.018739563773718,33.394232830969635,28.46270547362548,27.968193416852138,30.995992359201438,32.786864980825605,31.311599143977986,26.627394085927268,28.014283363342482,27.789543032570496,23.03897339447502,22.923769516077314,26.854915673446158,27.042332628557414,27.76308153883816,28.586315966457015,29.692148986323033],[20.027996049673252,19.902975167510526,21.763138432858145,16.859476143961306,20.778710207702527,18.216497625790485,18.704369686902236,21.65555675925656,18.415543347777948,18.8080064411869,20.061530295693355,23.475050799087743,23.84790144804649,20.255452994822605,24.84436012741458,27.359012700067776,25.972348449973016,29.43388660690892,30.97051070031386,34.36175443073968,36.968978875414805,41.16474113389909,41.292900610497334,40.39269383623796,37.870445519066024,33.79418369729168,33.10137381889052,29.583378399240978,30.51705871865354,30.709536235224714,32.010881670635705,32.986323643980974,35.78546866460839,39.08015139348767,37.58187991076411,35.590218393144845,35.87896984377539,36.19471174410099,36.161471299324816,42.258785514735294,38.56784498893029,38.801933734180324,43.29437693714386,43.06214098639567,44.304412138019515,43.67100200051748,47.74283567309621,47.056288695862975,43.42881647221597,47.9621417666808,50.08301275769774,49.76332095054991,51.74491630393468,46.577626369357084,51.22494460168546,53.021581906907045,48.729833614514924,47.950775827877614,52.64132215750773,52.003161405706976,47.80587251253956,48.3287880888972,46.1303332051969,47.11068952999138,45.2574408542761,41.98770409512343,37.96418953483144,35.23324179247855,31.521663426557332,29.160029232263792,27.618082101261624,28.887075773068165,31.702204796916405,35.577390007300906,35.6038950929699,41.67268337382822,41.71071969999353,44.68625886629506,44.454574748369296,45.842611299209025,44.83417909100861,45.0534893594077,43.124733611218595,44.299091308396626,41.003833518975235,39.34380947903434,40.344761050247364,41.081627973350066,39.53191753546106,42.21357602275547,38.95415950706736,40.8980606043021,37.45686214803568,35.865654982313444,31.360842565765797,30.823306692481435,26.70566881105331,30.832232817002488,29.018105049164394,31.225902754392546,33.37063088860696,33.99564886485869,35.62042367050139,35.09716738931049,38.857267466075115,34.592251088909016,37.77882197606095,37.447524823761874,33.630214820667575,32.633058314255315,28.036998453113757,27.574513939975184,23.464662967785923,23.56039206290264,22.105956610451532,22.15084083997506,24.514574108619858,24.98714632131237,27.85681493320265,26.025640179257735,22.69577321174081,20.311260694542423,18.79528702939716,18.10052748195415,17.572015677789732,21.431176376739728,22.386339793348522,26.101470047245733,29.437482816796535,33.629637407113265,34.01858692377962,38.377468027046426,38.6935837366817,38.935426096504266,35.11405236642798,30.841376516076433,29.580858909996383,26.791203898785763,24.37825446705125,26.66923371224565,27.279244614427682,31.593218383697103,30.45553599439622,28.876248249854985,32.10046206678001,30.282174146947618,27.68088805510665,27.19710973416091,27.71498361880595,24.778112703037223,27.099086537477444,25.411837620266372,30.26915190821322,28.469558356300293,28.56105306525944,30.173216755639938,28.20440233641817,30.16793012654532,30.03744614004417,31.38441074839172,31.009006969723362,32.701467233503585,31.376669657558093,35.814742104878334,36.72089759985578,34.1636379159909,37.319000315920405,38.779419110488924,36.74050221453302,32.97341825866764,33.61546455019048,31.195104450757945,34.816486724699296,35.92184645571953,36.471813806890665,37.40825428751476,35.04466551056937,40.426723528206665,40.30197601722462,41.5584125209589,40.435207467999355,37.219031514422284,41.73316261005447,44.08776697823809,41.09141972165038,43.11139855128381,41.23509270601609,45.706148463894294,43.14900183649628,45.43913161621979,45.9194560774425,43.3219903083751,43.28669169205581,41.416695292285894,41.98979319406033,42.387188941546405,37.713573661567956,39.2353996101181,36.74305316189924,35.337916797743596,38.00341856469409,36.13984672187322,32.40868659366328,33.53486877670675,35.86076438117634,31.523680252652785,28.70496031999465,32.741129759693465,33.9643597613008,27.92222850648288,28.92271785633919,31.67765623868095,28.515254180404515,25.406724139906807,29.304058535838536,29.65261173414344,34.54870190296866,35.177684761941975,35.72335112831319,38.589717439792054,43.40479302733392,46.28936299466938,48.653023749643324,49.58132810384312,47.877408148882616,50.11202899818471,47.49176372352,51.55828479782223,50.6190730046383,44.58402622213604,47.03636894850744,50.63204090692979,46.66622800226779,44.35042229521062,47.527404957849264,47.86744073759828,43.69259718138224,42.744231472096416,39.539576427502304,41.229947113238985,44.09679941486331,43.09045539049058,44.64703305393469,47.03601331474887,43.978792774175105,40.70711118229407,42.45637679369202,42.18533527574388,37.64837517863084,37.08709589065049,38.420764950175545,35.957345786828036,33.51692895192043,38.11555191290618,37.73257519767127,32.987051546367546,35.2759448280953,39.25895421781631,38.795101451775395,41.88083753014751,41.13489817738201,44.969019514783426,43.38244831906236,38.1030806282632,41.91780986796775,43.422605736509475,40.18655903138461,39.04036274053231,44.92892354352082,43.519689708531786,38.48484430325337,41.048654477225526,45.55472702741088,43.382074868032234,39.505256000379546,34.77726142797093,38.26926303325931,33.88603585825903,34.563187188465065,29.346640897833908,29.580752567759067,25.168254716595346,24.61378420953867,26.879128090516975,30.01264792114985,30.91886874613009,32.39719966733315,28.38029988194396,31.367264775597558,26.80084405121955,26.25583039937949,30.18154399712221,31.894387472628736,31.22777701516955,26.093563252347785,26.73270655910213,27.20870330485002,22.877931163529656,21.40423892456499,25.378179968367174,26.230493741429765,27.22829205171077,28.182225556447694,29.242414756517846],[14.79333478231657,15.320594845493801,18.109099310667435,14.142546979452689,19.050887795383193,15.75424701660772,17.40569181526332,20.072101845679068,17.535413513503915,19.382527984513498,20.809319735154844,23.413617721541165,24.693519098244312,21.973596410359708,26.51920662207096,28.778040105089108,27.966004125657708,31.924460324493296,34.20428465749915,37.13079681271038,40.18914570119239,44.19100017577063,44.723193584488804,43.943252373925915,41.075582913180746,37.116521566960444,35.833820983332075,32.04864091953765,32.57075862489944,32.06500568155209,33.892788909281684,33.911706807580806,36.70431216916058,40.494194324109124,38.955899453925305,37.42590083811154,37.00608044917359,38.03873385824919,38.04927246556096,43.890264684130614,40.77159680831912,41.36797431757488,45.783870875654756,45.640666035833014,47.27938609973337,46.60780458580567,50.670266847735114,49.6856543755909,45.782438069378664,50.16795017064157,52.16016314088066,51.52408433258307,53.60639048935886,48.36203039566554,52.863733845061034,55.12993002151705,51.06360133492989,50.04890993097502,54.84068488880816,54.627074906062425,50.54912270399781,51.08095232528525,48.763520046546624,50.26546584939332,48.36482918897241,44.75090918713881,41.25467220583496,38.14389622165074,34.95956264924276,32.24868055739182,31.191820324283245,32.790705400928545,35.071755745312885,39.08901755275543,38.443388583314814,44.497240639107524,44.28935549299496,46.918414719544884,46.52003572581689,47.87896890918365,46.296098676281176,46.45217330057091,43.88395340698599,45.081484320088165,42.11317762744479,40.49223138842324,42.09758502277327,42.36274645327792,41.5672273088766,43.93227226953142,41.06124587996415,43.2309628574983,39.55927724831828,37.474998688066265,32.87849210034193,32.32871335010459,28.15078203751336,31.505549561560322,29.13144846871597,30.310174812560444,33.22826142133848,32.96192939945732,35.40808674689676,34.13251519622917,38.09544200458886,33.47358427017834,36.12115986548097,35.91732533636403,31.798162400274453,30.83785383772943,26.233108813160637,26.80135871514567,22.85489027642198,23.937127864058095,23.368493370749828,24.095475893140822,26.943836895227292,27.982715858651108,31.386753546541126,29.016386790121732,25.964274810071228,23.04973086464488,21.647608480138608,19.999008743157795,18.27796731207787,21.866660069037273,21.139322927378128,25.441730160623525,28.330400854672085,32.76347787109632,33.008603734862426,37.17548660397753,38.163962832869,38.329266620077895,34.97966457083371,30.913509862030903,29.374325665063914,27.445184363892757,25.79003395443922,28.356205072723462,29.969454953997822,34.46189153074944,33.251860893384624,31.14441092685039,34.18392015601512,32.04106220879663,29.267416680276515,28.08736698217469,27.821613875159557,24.40446964077319,25.75260731635206,23.83010198981368,28.188096842505463,25.876012151631134,26.881815382522827,28.87364615537953,27.565660864371036,29.14690026572301,29.96596174146466,30.89408318874336,31.346388894984276,33.71942069226853,32.83493141296601,37.17168133767457,38.04941621230194,35.767448134615506,38.34106370149733,40.08528069831459,37.57498542368639,34.04446014756555,34.27577545335109,32.10760062001635,35.57245846951701,36.465703506401816,36.97779769357833,37.441968159339865,35.425479899117114,40.482076187846275,40.81743090879393,41.656546185237296,40.919638779681854,36.97576853377477,41.64993976073296,44.23253975348146,41.5490704688879,44.18106955404544,42.747756755373366,47.27833560018198,45.19752080879334,46.9463573452825,47.20709367558331,44.30276888346888,43.815689398167535,41.54946637094687,41.68056734122554,41.654866713637695,36.83589369254362,37.778318690591036,34.821882479442955,33.21478454006539,35.26596767675841,33.19359572680652,29.753509191821276,30.5865054467264,32.38448902752793,27.969675975330574,25.465014676908208,28.99641216915779,29.733981662495285,23.73314903198059,24.67319787757194,27.023317572536943,23.670019229792523,20.702238302163497,24.543194493372454,25.366163503108464,29.803278190360935,31.30741470343089,31.74449494353719,34.23887126955102,39.27588625161271,41.789172704023,44.53650917535668,45.46453448738956,44.06462952477184,46.453985339174466,44.106787116975234,48.36584445270628,47.26475957668365,41.44450391336222,44.190736014881935,47.87153749801324,43.918343172304795,41.8744699549516,45.359551557972466,45.65841314010347,41.46573914328884,41.091994567720796,37.28644143172747,39.12945008906417,41.640840858647934,40.06923903250304,41.66506311746452,43.61238662364894,40.87404236412076,37.66532761133413,38.75274498096709,38.497123241366886,34.226741602957745,33.294379944797214,34.20292847605549,31.680965140237095,29.213910743288057,33.55841477148499,32.92681293825602,28.084696796232503,30.388867959225355,34.31937310527912,34.12576916206179,37.42325337002953,37.0746427808361,40.96920869378636,39.06810218168014,34.07715584095223,38.2475258657182,39.60172439638622,36.33457660756242,35.74725138750959,41.59460647213441,40.054077209901735,35.306201145087506,38.29616397186858,42.60866858787738,40.384022429932266,36.704884437816375,31.971096906119822,35.63363578890827,31.3254331711195,31.23082339422083,26.20550387312752,26.173402608668404,21.58529580506752,21.703041696404078,24.336995295090187,27.77338767444397,28.883431865503365,29.845381193844606,26.219156618468137,29.385999592203667,25.152498974865953,23.591716433160776,27.42936354234895,28.55659819173562,28.140424685304232,23.224359440555993,23.0446624121306,23.231982120896532,19.674959287865693,17.45268350022716,20.83501364591453,21.462016475856274,22.474899153523793,23.51914995148856,24.560298441653387],[16.583827125379884,17.951025667501472,21.14068485169998,18.0148721023179,22.67398340605273,18.13229152674093,19.59460882866023,21.246084822593467,18.215141887106128,20.402613955007048,20.963084687749923,23.102388544486892,25.453568035749,22.70595115094825,26.60861003807899,29.142231430997324,29.129702101156525,32.92459030168723,35.61116031577112,38.6330619879369,41.786102651533625,45.930031654215206,46.603226953876174,46.183589979967046,43.344138076792326,39.22569818149,37.987873931090384,33.99727943399222,33.923398284124325,33.01108584068739,34.01204320036042,34.084792065519274,36.31657133004179,40.27787689231146,39.26621158406253,38.19099953650309,37.87813999034218,39.562989960074276,40.03380945854157,45.98204326028924,43.221520237834845,43.37264531507916,47.760391905529104,48.03156057240228,49.853613372177435,49.54681266705712,53.58280840751506,52.29040981917351,48.66625440198244,53.23003245274671,54.852148411980075,54.10167844238678,55.90773229342181,50.566867658747576,54.694347078139174,57.06733023552338,53.06394670650958,51.58618122510184,56.32354326645936,56.45816503487867,52.12078246046137,52.16819750099481,49.52103575753978,51.21772627565747,49.69073455280695,45.96781057986353,42.354370163682105,38.956876574694654,35.83749604350109,32.65074427349852,31.787292495887815,33.03155474154717,35.12637564324257,39.51024469508709,38.67930131850774,44.51988693233127,44.80781862571597,47.06496239926543,47.063945980038795,48.82235460143881,47.2682486268096,47.93140323335733,45.152658096805624,46.85967427517821,44.15799275219014,42.060167667618664,43.514336080572065,43.24657168197949,42.4313126100333,44.1093748285137,41.14876668398506,42.8966568952739,39.05570156070192,36.801518363391224,32.40827656667142,31.301440302937255,27.38455144925831,30.86678246329837,28.62463206766587,29.436918976496486,33.15099637830195,33.204044636212565,36.12284171180626,35.22133698059499,39.7620551984469,35.3981593442106,38.106065563968606,38.41720268071261,34.399770683837204,32.90049115233987,28.553428316367928,29.16741092387096,24.958053866273918,26.53365773583503,25.471352580142028,26.75062356545856,29.1804201391493,30.704945463333637,33.44038108486506,30.583611043986267,27.76390509597403,24.86163746221765,24.364316198644826,22.73281113359274,20.932404721928098,25.07838579738901,24.15678441425751,28.487809406300865,31.330693398714892,35.51417864425286,36.3417942134207,40.29346564523452,41.499955016448624,41.15644162767407,38.29455947319825,34.14981294544325,33.18065674934129,31.139709290698335,29.51975091553198,31.710270041438804,33.51918206054377,37.76231296979977,36.06887905688688,33.97544967141479,36.75129630690776,34.10991481805699,31.589986952768548,29.950988345888657,29.66509213248624,25.843997959308,26.97955795404549,24.166778165082334,28.14286571666535,24.864544268677033,25.899806722522655,28.577947846054542,27.80260000388562,29.883408131391565,30.889416911882755,32.55743840820835,33.6779222181127,35.72265781061731,35.58198201300939,39.64820926290946,41.129903149640185,39.31743182600836,41.967210470885874,44.021120060943915,41.63750825499969,38.031217729226945,38.02079482097078,35.574930179808895,38.58509856499117,39.054348356057666,39.1054569825242,39.14551957460244,36.755534250837854,41.66641251787023,42.56160187759119,43.48093886499964,43.35658907086669,39.32429465566193,44.368338806368016,47.178468550100554,44.58292498421598,47.009704413652436,45.37866892698012,50.18734406452774,48.45819403576097,50.273859339625375,50.78167469975224,47.69661808989995,47.426241633278266,45.174823361421716,45.275701275032205,45.35724669773703,40.56923612978978,41.28018061920408,38.347735572937,36.286676176891326,38.2241753153659,35.682623324933125,32.51478921908916,33.7099267083961,35.006653346127614,30.39508185125807,28.714269734324088,31.87896006344138,31.78330731881541,26.13766551336076,27.38302611298391,29.200956165533267,25.390381257190583,23.09056371413559,26.983960545746097,28.34738264148451,32.11351647589545,34.635079767416066,34.78153175555258,36.847107286614666,42.02747209934089,44.11271510050555,47.1903453192658,47.85841584174203,46.603101360725866,48.887642350556796,46.49779726501509,50.99261474137106,50.082389641069845,44.38354619652097,47.07918140640989,51.043573221181504,47.297419019552535,45.23563966946379,48.75204965473483,49.39352568572601,45.277742096892844,44.840942439640365,40.812166061104264,42.191067999228665,44.505984347479206,42.58739138683114,43.80513438549201,45.3449879893209,42.48936146699041,39.73760915299486,40.463468014513076,39.71254834116074,35.70465992468424,35.055567369941876,35.334366801006,32.552101570943435,30.63046254242606,34.84752376510606,33.66935086406079,28.8665783779196,31.720102385847618,35.53956381015993,35.85557875328669,39.165600347770834,39.01159002783626,43.106858867217504,41.23309115340568,36.54588211814151,40.856956751512264,42.37832705028005,39.22502656341142,38.93018660434052,44.77283741060399,43.40834279340752,38.87933208497813,41.95463716557308,46.257126418671255,44.178780102208854,40.644814974526774,35.97456258714357,39.80632200649394,35.60904596647079,35.04802892392952,30.195065313567927,29.80896776366345,25.092355663758443,25.853893028909432,28.53548523096769,32.13029102895499,33.14476601095529,33.64978934355727,29.92154898496726,32.788240916718756,28.469461161363014,26.46434366646434,29.55678613001856,30.34828703783048,29.401322174523017,25.036475370347112,24.91860495453158,24.20735901570696,20.883512948878355,19.368999913141124,22.123389348757122,21.77429760480404,22.41673954462106,23.305766503786842,24.239165598175948],[10.807740949108863,12.687173919568444,16.53107139709279,14.557217646333678,19.724251762056284,15.303952522651832,17.895595758329627,19.585791913308437,17.824385659681145,21.025720059613683,22.226218136785523,23.731239353997633,26.162735314915583,24.376284425952853,28.466514741454,30.481420951879787,30.49201198189919,34.73135496748262,37.77800840205785,40.25941621043432,43.72478263743025,47.54648043952952,48.50935960924703,47.99043517534546,44.843373949895124,40.98142717113195,39.19784419683597,35.16842029274969,35.081714350856416,33.79435385551781,35.80120108856227,34.91509119602588,37.45258171884225,41.69848212545019,40.318264862013216,39.41555383693915,38.36413930784055,40.29512991671353,40.52516460529119,46.06907243489529,43.686421713607785,44.429751681988705,48.70328172543092,48.81444622302978,50.88723886972253,50.34823715155102,54.35049372622215,52.95466382468742,48.960471748736055,53.23619396997702,54.916207355353386,53.933916639028574,55.97312856986129,50.67168002134228,54.82882119115581,57.570557648057616,53.78555983793621,52.37404157351008,57.19588397654438,57.52984205638172,53.504528947432924,53.864573203855855,51.34288586879344,53.401593217640766,51.602378216646905,47.660170275962194,44.66899705494296,41.15133513398864,38.53272167721115,35.40979846709557,34.87556436393575,36.65112360822532,38.33954002736229,42.52885002896985,41.19984887483775,47.085961937004306,46.79302467742223,48.932348182745486,48.50407263275426,49.95376382615481,47.84507388861556,48.126513661188724,44.89845103784901,46.29971705076396,43.80415328781086,42.05763197610101,44.1543675134523,43.76717950035935,43.70424965300682,45.49694798039726,43.023971658843735,45.25368058338371,41.37293694570626,38.80256783176122,34.292356531514244,33.598306736740625,29.577557935199064,32.08707045789831,29.280354748680114,29.243557930243252,33.11168737243011,32.05514311519194,35.436964190168084,33.58600245428844,37.89037404097724,33.14834836036841,35.21690754581241,35.39417171627043,31.142898865759477,29.980742577674587,25.669164397004632,27.257266461580468,23.55592550162408,25.72701475569044,25.778755396608137,27.29247179088406,30.283658945552194,31.978977499330156,35.508881928176926,32.53961203218568,29.890848460670753,26.633454526844545,25.726138338326372,23.39428244318846,20.757252581136154,24.11414075905502,21.77361298048338,26.403113470425183,28.712787732773158,33.098000947253624,33.505613922822086,37.26266148426256,38.98446287237706,38.80990320015963,36.236578147196816,32.44151531601607,31.008543822952007,29.867673948815636,28.9644499873252,31.489614792035958,34.03258312072988,38.47007159852792,36.99727576985013,34.47180033160112,37.15980497179994,34.56658976094429,31.820354246692013,29.857021844551173,28.85447170691708,24.96895213876649,25.182790479325636,22.763746641117702,26.235254570677533,23.10945989529912,25.103376133927846,27.642585591388578,27.26040436054234,28.56831869374348,30.38078491315727,31.15710506925956,32.67942863647088,35.48643006838563,35.351579543362696,39.37403667181341,40.48299596152229,38.732018901719385,40.759107820467165,42.90292028611045,40.08245293052384,36.80247024688623,36.51816157522805,34.48987560454365,37.49521200910451,37.9700084032195,38.23071397648014,38.05021536446358,36.2703615305746,40.837754867398644,41.83832853301326,42.29028524718303,42.206012363394365,37.607081754497564,42.50986508664661,45.37500869262652,43.0770559917666,46.144820498926116,45.062164997409475,49.710848036494646,48.27105979610493,49.521522353976415,49.69928103567041,46.45596141811052,45.668871474252,43.08093024511857,42.78016442080653,42.42326372685682,37.588728923691576,37.83011508285579,34.525025821412555,32.49402596859299,33.839088261547914,31.336916354294335,28.435786656752764,29.182742653784878,30.11210901109922,25.613982243674744,24.0480381064987,26.73426452543598,26.437687382640156,20.87258342578299,21.960032421451892,23.495826728620724,19.70373503760951,17.47206994128998,21.249162066661047,22.87695986164294,26.305933098233705,29.313882986347334,29.361921650130657,31.1825335823982,36.4338796686657,38.33005348795681,41.573703528828574,42.29833933184478,41.25827510324117,43.69030517575973,41.58912285276961,46.1176160944994,45.00339273369693,39.52337591131552,42.46632377169247,46.356381173964806,42.60383958965263,40.81982840157792,44.55249252974603,45.04084512434913,40.952504474622714,41.052583797375966,36.626442477906465,38.287718252473724,40.30361248534577,38.02246487260643,39.422864905188874,40.70235633407884,38.25376806383784,35.39291734783982,35.6197934414826,35.129796622217334,31.331135958341786,30.187945607197776,30.318350756545758,27.640883456087813,25.478540899472264,29.434644740852892,28.27162680996696,23.405994903170676,26.022296840642547,29.803531164009176,30.163488211850698,33.61721236561053,33.75113201840976,37.77576024539294,35.6418256619766,31.167635293284643,35.682717138912295,37.005552232452004,33.844627980073675,33.95228432267365,39.669422446027916,38.19180540042047,33.92673749652388,37.27456778661083,41.35620079521002,39.266569177188806,35.93078776697199,31.360752178122226,35.27437103400247,31.26864856935639,30.143057637579908,25.54715076533559,24.913499692544793,20.24954706731763,21.559898779876818,24.378316507811316,28.078359263956706,29.208081439122356,29.31285964735348,26.100556351928642,29.117602886820254,25.327895794872262,22.581756028602648,25.74594298042129,26.04744493367125,25.647195774443386,21.43942946214813,20.405781090694024,19.784786934055674,17.430981663209497,14.862991573036606,16.990676587792922,16.809143365672682,17.65440852837109,18.744880170944167,19.747743115845186],[14.717480913785588,16.984838915792373,21.12857697472322,18.99635735360486,24.345436875558057,20.063818613450707,22.42479152407599,24.008017184798288,21.762686802511514,24.6411791376858,25.407051099837965,27.05409629038198,29.728965256427053,27.463647525098693,31.35584098852744,33.69445104067724,33.81607934630903,37.81061753443271,40.666684601357225,43.48798390394517,46.77252232960657,50.79782636211588,51.57518046477187,51.08119122441002,48.12712704332868,44.110174385167085,42.650421660041445,38.63922456915792,38.54290042162613,37.38256945887233,38.74275987252718,38.31549561679218,40.54925324812463,44.72849839648843,43.665090159184324,42.77901344285718,42.07618682153129,43.99222788420279,44.35760634963691,50.09596338032357,47.52542532583828,47.987536474317366,52.330578553723285,52.50700485727232,54.42225811675298,53.947598089045364,57.98117057785531,56.69413524400625,52.84337777373575,57.23355825057226,58.943874029367805,58.0691208070383,60.02402108847839,54.69882997697024,58.837392286753825,61.425436344279724,57.53241910580101,56.06679450090939,60.849295565726464,61.10215867465853,56.895787683838776,57.04623970180494,54.40860178437531,56.27917274786849,54.67396285070988,50.84880875573047,47.46633508179029,43.995343902122364,41.05138226683268,37.83494641712396,37.08780697454784,38.420660643130205,40.40102687331238,44.783920737143355,43.757155729420994,49.572064559744454,49.72326286404597,51.84832144287358,51.729668826502866,53.406223030890175,51.55105318057723,52.068858526119065,48.97477991964495,50.55387966659492,48.001249756462165,46.078811291926556,47.892423001386504,47.47508898257143,47.06716678147481,48.65910033266572,45.91823827180923,47.770485268493296,43.860951188536255,41.400404600582014,37.01956241439734,35.91811557311788,32.05185525367202,35.05878467938486,32.52421111045589,32.59865736364474,36.75117949981811,36.10981207361645,39.51930064032568,37.99930431501642,42.47275027611265,37.83309310136259,39.98813118057563,40.218472318085084,35.97923603995386,34.765129981958665,30.468731480953227,31.89570145629162,28.03716227906717,30.024914998408896,29.63326231943082,31.00324564436242,33.75446841326345,35.28714710373622,38.41661640344395,35.54610631550168,32.762249670019074,29.71613882144009,28.941690785025802,26.99881252887986,24.753499354595863,28.384890330290986,26.457921223761446,31.046142573297818,33.46621616417377,37.8485404670339,38.25013665303031,42.061823203622936,43.70054462206369,43.55523031169176,40.86841677073934,36.98988291575031,35.51815005051996,34.163575328510326,32.96348953052316,35.46670440875092,37.57027800082143,41.99639316235909,40.51685557211685,38.21858484313175,40.9972967903645,38.39736913904414,35.738686445607385,33.90417243530473,33.159186786741245,29.234534731549918,29.656545120710593,26.912431954727488,30.32287952213585,26.694239897765566,28.554345229294007,31.44473700064756,31.15660481577061,32.817404248722795,34.4532321704685,35.622716415616274,37.0816026254523,39.61692860096867,39.45801419947913,43.530994829284445,44.7304211206245,42.84264782927115,45.09199644654884,47.094100742047175,44.35838976566227,40.99895899689458,40.89814501650617,38.80644355144893,41.906939533130306,42.413491646658386,42.602735341799544,42.45073336348316,40.42362090397543,45.07700449507094,46.1368047323721,46.73821638816342,46.68008996667978,42.22460534557044,47.16982279457291,50.01372194218153,47.627000105750554,50.51954687359843,49.24266256925548,53.936560787780536,52.308410380133864,53.785013077141926,54.022203768882,50.87358001500549,50.18200472544706,47.66381684569732,47.441204268908535,47.09659332181736,42.246403511840604,42.56142324513875,39.20946393722215,37.285570010908664,38.5376921249211,36.08080060140459,33.22631002581369,33.80193408067194,34.66068619837356,30.24121492992105,28.553491443412277,31.06409041960936,30.725644903303767,25.24239883523324,26.043237505687436,27.33342733302318,23.65847131763481,21.36204080907982,24.62371143646735,26.46435839648695,29.646671593304728,32.808287602973486,33.20545061186372,34.86353030648031,40.196513496118904,41.83187475593221,45.350745087247915,46.27179865654755,45.465096871768345,48.024875086150054,46.10547403008784,50.63864233793825,49.380566619454505,44.02260707535972,47.08797795148226,50.8843490460615,47.056196278957096,45.409917332417976,49.20248982145399,49.48931818438172,45.36023195577513,45.66522156409792,41.233003462932444,43.06788738411358,45.05288015298878,42.689972587783096,44.11288032958556,45.236223383908225,42.87963815630785,40.09369405372963,40.0935526106161,39.555154346044006,35.91980027836862,34.69333470086442,34.56071808960687,31.848850849631287,29.790414583369056,33.471915327587624,32.065588185818925,27.231530872169863,29.78770565537627,33.415931338173685,34.00317969156922,37.62103999082319,38.04698269580667,42.01889963117615,39.61886184664632,35.38045321924869,40.041419206803866,41.13031543168335,37.90708584889267,38.29564620188664,43.9030210749259,42.13202972676896,37.99946836424232,41.56088276944961,45.44380406717598,43.09645272019401,39.810866153762184,35.21416028926891,38.78572296631967,34.615865935074694,33.44554703523042,29.057114839712856,28.874556553500444,24.381683554446884,25.287990341264102,28.33932497495756,31.89815757785565,33.33534213757657,33.68327413195608,30.694201029457883,33.8481532077997,30.07639106081292,27.384250084343446,30.55682026317417,30.752203738249765,30.29703234087167,26.227603191246615,25.112901703013904,24.296050504330207,22.118260109051352,19.62765147620726,21.393629986888463,20.830586883095435,21.422130437463586,22.27020049809852,22.994435040397903],[11.44248792903771,14.03983861065861,18.764304054900403,17.42017783937355,23.26449276991045,20.064980020812637,23.2360218747778,25.242455601422343,24.00257258527621,27.230245776534836,28.630745760821494,30.126052865969296,32.42113009789368,30.64043185064557,34.86622603286643,36.84595154745685,36.63898636310515,40.904758914950335,43.719773902454186,46.239855318094165,49.610145763532486,53.40035701234805,54.22860400240224,53.478442724818876,50.38051169856852,46.59168340885224,44.85950610053825,40.96362806717735,41.15704511059898,39.99128724794925,42.2057800021183,41.265083040240825,43.87112347974016,48.13197814167668,46.665716097348465,45.68068148536554,44.53166015326992,46.27560861646521,46.27323811614511,51.690446676506994,49.150053682297795,50.17732442719513,54.45840696425253,54.31155633607202,56.23592294952,55.405788358566056,59.41889439820324,58.28611836335968,54.07345718156282,58.15509677560273,60.131566525145175,59.19187661096105,61.44250653647032,56.2175687914518,60.56159251255169,63.30051652541086,59.5081742033609,58.32883876414382,63.1749884239565,63.35062407300404,59.45692888731182,60.01200682074845,57.59789711330651,59.54538381033048,57.62657162578272,53.7578948512444,50.725203203205524,47.34388375297889,44.583972581032405,41.60976893527093,40.90119337710902,42.58393270385928,44.51004783109994,48.6614786933468,47.5098319424794,53.43872217897305,53.105776339891044,55.332793983160826,54.824598533921666,56.15315808736465,53.97968040254671,54.032478041997514,50.77752011406875,51.90773642903801,49.36555138214364,47.910330724633816,50.16129046523123,49.92451133352216,49.93971356730617,51.8859784640325,49.43317045269597,51.68839035752336,47.821717595465145,45.26993282177031,40.755631036652616,40.046859622510055,36.03297707804018,38.52331018453109,35.64961485970363,35.35249558459741,39.30332235837371,37.8407743473018,41.34456553950219,39.036118874991665,43.02945776858473,38.03269928124963,39.60196512613897,39.43602378511054,34.99379686186954,34.39729468200339,30.086830723692138,32.22536851194955,28.932349028187883,31.011390270949413,31.518113010640235,32.70498982503143,35.929422863773105,37.253062871878996,41.091074670226305,38.443756030924916,35.62674691462744,32.44399278918214,31.02673068826023,28.781985875660883,26.19130677267944,28.958321727552796,26.19875603992932,30.876771185000354,32.84674882622354,37.47006775966309,37.133698515985444,40.86302511447723,42.78251081752191,43.11111329404874,40.37304361597132,36.867516220178466,34.657737357138984,34.084973143837516,33.34591760727841,36.26458763567629,38.595514963709654,43.246115761391096,42.212329703194584,39.70765411184892,42.569788894956964,40.2911062541725,37.39876842154335,35.633026211397386,34.473532530200444,30.750982219752682,30.64605718621628,28.570645028502163,31.697504197311726,28.537931733571767,31.006945455378926,33.55829891403388,33.33496482607842,34.287314357046135,36.34977464082198,36.600942502034236,37.979258400076375,41.137190632450796,40.5774290639327,44.74125604569475,45.33511112093712,43.18387492102092,44.944318990874976,46.74017752280423,43.62288877968855,40.606963616728294,40.508909808351106,38.939343440017424,42.295452706877796,43.05285696803479,43.63085203132219,43.54470401146221,42.10695296890095,46.56919378617571,47.429935191517586,47.671404937315934,47.319490742615436,42.5538391902746,47.13373502649987,49.85375983698364,47.65249745673835,51.09233426091967,50.29347651908789,54.685543093043435,53.01065990959421,54.0784746055857,53.91450774300238,50.815382912851284,49.59787026008934,46.833497166461015,46.306402862987824,45.491594137653856,40.633490277899476,40.67284163148248,36.94836082492011,35.44211010850575,36.07835581426301,34.03025545150038,31.362545259403955,31.105551458182248,31.829675681952242,27.802806930913885,25.645068289084143,27.664970664822718,27.646472272587093,22.190356912171907,22.315400964292543,23.409460174452608,20.270498257413845,17.54490224393691,20.04345589852405,22.006811432994663,25.01545034992258,28.141165339142,28.937363037569547,30.464286007637636,35.81833338546976,37.32786367404956,41.01193132579839,42.32357331201379,41.83307285477022,44.700843891885235,43.258289618921374,47.639628403862645,45.94490538747059,40.87022526495798,44.28763064415114,47.724180821868714,43.72756787036898,42.49967802345847,46.49992078614339,46.26154252819801,42.11803230994966,43.16355642055229,38.51408659320468,41.028620560309484,42.793835505187246,40.255017946302786,42.10433929054539,43.11032868135372,41.318421517093675,38.22034514734928,37.79111941154732,37.811215773551844,34.377257662262636,32.42706533473497,32.36999232011302,29.96112559690438,27.395690770386082,30.610707743479317,29.43917512908306,24.615553051396493,26.40621102520374,29.906691927204047,30.3522580214727,34.22184810408905,35.04695908076947,38.72854399126733,35.83730231586597,31.849958309378245,36.704667503064385,37.2698463494276,33.933817851436004,34.79184206836348,40.12782892522549,37.89012329629422,34.044276772807464,37.9844322774308,41.442613337853025,38.79479680818124,35.69893873322215,31.199151516437095,34.42374905077201,30.30029202194882,28.75237406670344,24.792058544452164,24.968075337146068,20.884633320294594,21.627774003715718,24.938929883743818,28.316811040594313,30.17059320199368,30.560549971693458,28.431939472955435,31.950023739949692,28.860722124733776,25.81104348618712,29.419545216061856,29.26154500817091,29.634305868315376,25.585750444770078,23.513202900457404,23.238032002168172,22.0387348612878,18.28957432301578,19.421200841209206,19.409729168250706,20.234385353920818,21.129570993870715,21.721455184649734],[6.551578804363386,9.697525732859644,14.679077967897692,14.796449538816882,20.365490604020952,17.385868275052605,21.097200182115415,22.90670338646059,22.675884464184147,26.410639082555175,28.162316512642544,29.14833543780905,31.406047259304646,30.409384654667,34.60686943613078,36.14284634005834,36.01242256705767,40.51752699268355,43.64410858042276,45.67021773585852,49.28152246522048,52.76372036635692,53.875614500502024,53.138727856425625,49.80042526532904,46.254496810270425,44.08057532316703,40.187251016347375,40.275273590243884,38.803581534099386,41.721693406134385,40.06002236175242,42.85616846803854,47.255957415602076,45.522478678080084,44.708205614865726,43.00498207117267,44.96488248431033,44.83314575788393,49.84808013072281,47.72991481577983,49.14909687066921,53.26922801195881,53.07760654252618,55.25065824924599,54.33842436079172,58.270112105967144,56.95884195770423,52.55579831224967,56.400188877213935,58.293000906069246,57.14570432595476,59.500776661442664,54.3495040703187,58.60402360715904,61.635222097871186,58.07596646797626,56.891447346170104,61.74968058208611,62.14980766153132,58.51944679505137,59.27294866607337,56.95768280334089,59.22462200122528,57.13299614235904,53.098550390357964,50.63438021385248,47.15310493087686,44.88128130154617,41.9513388405366,41.56577157444178,43.67625038134636,45.1841716458306,49.144466293075446,47.54845802420884,53.43891247545802,52.634924063116216,54.721626403143034,53.879584315547234,54.96345208029836,52.37072397807757,52.16033333570262,48.586231688624224,49.507991094768336,47.20069487882942,45.987756267918456,48.69691269528672,48.32760280933649,48.9432491330294,50.92538458611303,48.899256223664175,51.52188660418709,47.67243599027447,44.910989283860744,40.37791666106597,40.02962474330164,36.00478358897063,37.70326282155979,34.49243844580159,33.64333315165357,37.51177386248634,35.27622085336394,39.00481495882944,36.06473938542549,39.803699919313665,34.67341287660585,35.7373365747583,35.53569277370661,31.055977201571217,30.666126121192363,26.57939332812634,29.374958657320242,26.603302955722345,29.101592446400105,30.3664665158858,31.79865241174336,35.282708589871625,36.84025654127615,41.1147135619886,38.31539014039626,35.756788245247655,32.36927555200544,30.87373703437746,28.152620820316283,25.03934149331547,27.154421372235714,23.40423767784219,28.06613376142206,29.532036076019022,34.107288156491926,33.599106791137764,37.04289163756847,39.353857987828746,39.676368675208536,37.33442051586153,34.17148529944698,31.85194741058034,31.962465203225523,31.84350270757805,34.80872075711509,37.78051264478634,42.40345935328031,41.414320178898095,38.5981213122235,41.25307863240241,38.966064736030525,36.01580804721766,33.98018598184392,32.31113089589254,28.668928339449458,27.874082892987463,26.20953174653087,28.841261531624852,26.07590737453653,29.068730930399504,31.333373059736818,31.366506333492715,31.708637063242588,34.290837987925656,33.9015069784168,35.61506942413413,39.229990546812914,38.825722198097516,42.80091969704769,43.22561641299735,41.322325751273965,42.569544564792636,44.53688098408915,41.184655283439994,38.455922860479674,38.03836442878036,36.74302313235202,39.88108571816778,40.533014973734076,41.18497681913842,40.88568286699661,39.91710038618531,44.014154237724426,44.97644651446185,44.86766939851642,44.63238895483655,39.521689083569385,43.96275301527652,46.72671365667795,44.810219043292456,48.64415276723735,48.25233011785173,52.518610765990964,51.21716541640927,51.82269961297015,51.48351263551024,48.23311753717307,46.7071294897369,43.736570809345025,42.911147149909574,41.84001177149408,37.046160826540124,36.67721156964477,32.79109717417719,31.19948574410415,31.40705546752823,29.33244478557409,26.963572682921566,26.49811912285855,26.858122692850483,22.960749968572244,21.15769499671785,22.714682472738527,22.408167739815163,17.18676067839827,17.305207659585612,18.124839582273342,14.953359983078766,12.478138473987768,15.037922228164012,17.25690034590793,19.925460337700816,23.61315986682205,24.028622098351327,25.344256140437157,30.721261157767028,32.15601664034455,35.852404394556075,37.02718995989082,36.58049957681364,39.44384669757692,38.105780864126956,42.519498370103825,40.81560507417448,35.88491186965417,39.36899789278809,42.837242156630346,38.95614492909454,37.8512543724297,41.93153703824274,41.78699843242523,37.746444948588106,39.01495372233598,34.109940902497456,36.599583311480856,38.10831944864478,35.323969504552416,37.20813423123172,38.03484470083669,36.49582172659259,33.39717471596974,32.66454860055233,32.84179923375808,29.588909352739,27.36474052127799,27.24061227114584,24.963008362838703,22.258015481786625,25.29496309510225,24.216749466644078,19.417160891166052,21.024605292318306,24.531859541551295,24.959339808764074,28.835151051666486,29.7552719591137,33.41120777499274,30.49345321351981,26.626221097995135,31.54136143726016,32.11754692462077,28.856909269530288,29.921083953489887,35.177742566252554,33.09697482094982,29.449033492839053,33.44092927996068,36.83372814025165,34.40104672139302,31.481506034882123,27.149440087774014,30.667206009076295,26.893524287880155,24.826934958596308,21.05934561722029,20.649988857847017,16.64241816060084,18.22489704250315,21.39524397577648,24.876827440540858,26.559908461190993,26.38380638559581,24.590372761840765,27.981881906764723,25.38446903235088,21.81008558052391,25.209825802152686,24.6723818867978,25.438700912827297,21.725768896300952,19.026253838423514,18.861607991978392,18.574806961580666,14.264894045361746,14.658952429800392,14.889088991450295,15.905590986357076,16.95854582197723,17.65159643643982],[9.387885407524658,11.608052859069936,16.389063571152953,15.905337013836613,21.81638117831575,20.152568887666536,23.86744021720203,26.324654931045092,26.07286954984543,29.387765736600116,31.406044257934504,32.82987520586333,34.54002384652624,33.229628151103945,37.74142203066438,39.32625806108583,38.70392958761587,43.15838347884213,45.843571470810005,48.022733279560654,51.42282177993296,54.91744412263952,55.77815744526657,54.752541457734466,51.54417142472602,48.049335594462384,46.06693676277527,42.37381529466398,42.91268294107753,41.83125761825655,44.91344694365086,43.53417226439796,46.5444283322651,50.78703258690609,48.87241705352643,47.72243310297831,46.17315822095162,47.61260110698095,47.196709775311646,52.21594447915735,49.68745404488764,51.30068482293339,55.472627316472455,54.96285884246851,56.8571762986904,55.65461125149649,59.60467216170408,58.65984690251039,54.11173852512942,57.825176770227294,60.08439939100026,59.10602230097191,61.658398247128034,56.596605017238645,61.15601614653824,63.99116074370288,60.31870313781891,59.49828007474071,64.36859093079924,64.41326485549155,60.893035892013515,61.90399937088478,59.77554569056596,61.7523720836644,59.49414294253889,55.63549706328321,52.994029954811644,49.76989149470129,47.21894570723424,44.56948496360109,43.8925602740733,45.94011527360946,47.800236589800704,51.63698420650475,50.39754831567983,56.41461770218854,55.544310914638466,57.914433282040925,56.97793136765443,57.899329363590034,55.45389950219978,54.98377266362563,51.667858320832615,52.27144060095226,49.71870619922602,48.80199248160769,51.44834774892161,51.48255213072932,51.88182552225655,54.26116728014966,52.10754301429282,54.78738206428812,51.025915329349225,48.45606118734803,43.83569803696047,43.58468363741943,39.44262850482044,41.44783566818051,38.319068011735325,37.84093633057732,41.33868649282613,39.151832628031066,42.5366587800617,39.50931392294463,42.85263022554812,37.579497342064016,38.572567359564616,37.91169685831551,33.361929706265435,33.49425948289097,29.248177874840113,31.955964844923155,29.35789179029018,31.355444202867808,32.74392601844294,33.66091306540235,37.28348082231826,38.33776805675089,42.84027875513069,40.494867412178,37.69302483186105,34.460501492321825,32.415213688568514,29.955310291292882,27.1616456766575,28.910807226513082,25.50358237857224,30.055957465459542,31.532049779948228,36.30552302996457,35.15104587413849,38.76744905009766,40.86967847770683,41.743987873159675,38.91743306153124,35.87022908030987,32.913183947064994,33.151087201196475,32.8964426490028,36.16631746052992,38.663227674572106,43.44964648227831,42.90771636440565,40.248236222667806,43.156056585569694,41.2920858084165,38.213706529597836,36.62593268064804,35.12996912729155,31.784465396764272,31.277679962555272,30.05645149389781,32.96255669310392,30.56263456814905,33.39912012300878,35.42511537883924,35.11660345726297,35.33477211582955,37.65756401579043,36.93751115108391,38.0696102256588,41.78478568348932,40.748023385476614,44.952452482396005,44.86861889577973,42.453457637265004,43.689617563242386,45.21893914796379,41.763499436071406,39.159232982785774,39.0888250197118,38.103690295453816,41.693370392601004,42.743355194393246,43.755841755091524,43.821494928031214,43.015182155055655,47.26845396615306,47.809086609600335,47.70757079845843,46.96207732096307,42.01724583699451,46.09884743915642,48.61602340486989,46.605305567511536,50.545187494845116,50.241666558394755,54.244938349780924,52.50624773966204,53.151391983863945,52.570594537916065,49.583184022131555,47.84524144921844,44.883071556632174,44.0772304503812,42.80591202488031,38.01190246410776,37.83287756181636,33.812284766923,32.85927969457027,32.91888766635371,31.451641176426016,28.95189214432039,27.77406506695975,28.50940742721413,25.048322798200417,22.22281749607694,23.78350801268414,24.40958122801838,19.038553290141284,18.300587206477662,19.38202151040222,17.155732627785643,13.779029061797395,15.252412864853769,17.061929384093318,20.16183668019915,22.785634886586276,24.084465979091874,25.64325626764518,30.918320722850062,32.490992920659465,36.15382165663902,37.917285401338795,37.64977851774748,40.80665044785659,39.82007338361244,43.93697462093678,41.80055497917844,36.98655674756918,40.70773130259097,43.69286613316646,39.51191623161814,38.693159073817206,42.83660037946756,42.0194028915812,37.88267921154808,39.63927095970676,34.90365734025295,38.14991480712416,39.740079116678785,37.185323409235075,39.52441049373049,40.56219087319814,39.33507900312356,35.8537092669403,35.18099422423448,35.887308195695226,32.60526901698979,29.944910882283484,30.217385311285394,28.25751491686477,25.08760431261461,27.83673168054769,27.17148329455402,22.51317495173636,23.25113642356246,26.603683416933862,26.652342296080374,30.677735434673775,31.765909368175485,35.04694368325236,31.734059967308195,27.90833738513321,32.81974388563407,32.82606906074886,29.372595878877128,30.57155424543578,35.592452744236866,32.88001219249429,29.26926633014661,33.512609158303064,36.54631018733708,33.59312477606006,30.661066933489927,26.288681319033223,29.1159714276334,25.063561099799703,23.230085897421095,19.715609833073845,20.36421785720314,16.920134967382197,17.29879615701212,20.77824176683874,23.84937738532813,26.114054878520385,26.625362458191944,25.479300801902152,29.321909545710618,27.043569492187824,23.86771095567822,27.953126115232735,27.579380026507216,28.868030569878254,24.83764288450523,21.9570846177139,22.514752676726474,22.181834236839503,17.361722730377284,17.997312543495966,18.899910375456333,20.00950775935523,20.917746054989276,21.38248482448111],[9.6243554723082,12.029681017434838,16.694666412357737,17.632249516703155,23.111510437012566,21.785899723434206,25.789011212230474,27.95507002873353,28.35711908235776,31.999010977822238,34.10859195750982,35.11993860901921,36.956690038504696,36.134762066453945,40.52791191425948,41.866210177739184,41.38714327399098,45.954473904424994,48.846387280145926,50.725594921716954,54.266726832902506,57.5630264818241,58.60128149743648,57.58469803230117,54.24446377043725,50.91372236518149,48.66926295367491,44.993427412179045,45.42743672924272,44.107707547526296,47.537231321605425,45.68257235331312,48.712072154367924,53.070187979469026,51.062780382375344,50.09843480544948,48.175194668717374,49.825257492978295,49.34292504075683,54.03925047989323,51.83699243151202,53.711328817550175,57.75467828482909,57.215547164201496,59.26259878673901,57.98561617530685,61.861359626826186,60.821335870828335,56.1435184155455,59.63971988796471,61.85866905810345,60.72394823950448,63.35899534193081,58.376265263799816,62.841456202496076,65.89314616424281,62.40946499531858,61.57116617864788,66.4318188807009,66.65176770231812,63.31522008587103,64.4267010977436,62.337904195889614,64.53446555287535,62.19929066046985,58.23690807817165,55.948466988194326,52.648166387830706,50.392086138032774,47.72694344993006,47.24563548345083,49.473497245221864,51.09411036124714,54.86226839878646,53.34762437317323,59.2984759615693,58.20064017423784,60.421371473396185,59.31466053108284,60.107029846418826,57.3641709208754,56.74202667144667,53.167540774108105,53.63424224251618,51.30273857430595,50.55895343935443,53.52541189421118,53.4075517747255,54.23712998394077,56.54202974974233,54.67213445919539,57.51509042512169,53.74327043520413,51.012211503605144,46.434471223482404,46.30596927164914,42.22461832856683,43.72716465491511,40.404752168617456,39.41352159898352,43.01220176830241,40.25963470330562,43.89872962810587,40.395169958983686,43.5286591858206,38.20162174258999,38.64412368976748,37.9476106872402,33.4184391335005,33.79621592054037,29.873750064824527,33.15369897933803,31.023182272213624,33.32068630837988,35.20015382447044,36.277864544114856,40.024332638535874,41.21040308698338,45.93546267430724,43.497013710097534,40.86271130166981,37.5345735931758,35.48521884719101,32.78038333912176,29.703944311914796,30.978310239764113,26.86819284592753,31.29985913250102,32.268989810347165,36.93844320209493,35.53030952175581,38.80713167039996,41.286815696169725,42.225285999350206,39.76905493712861,37.098105639340794,33.97221768969961,34.842108187204445,35.05984584223887,38.36160789953096,41.229513777629556,45.97836166753016,45.50767906022029,42.66887881148016,45.42014587855043,43.56042302960073,40.4730069760598,38.69291328698291,36.830805371989115,33.55391737683827,32.471098140835515,31.469610883154367,33.805728908641875,31.508943965390614,34.79135260781862,36.742698588464044,36.76356593197014,36.56594949701009,39.32029458594589,38.16292270942453,39.59504187847524,43.625911556831944,42.71810107474246,46.75021615540694,46.50342919775622,44.24516133114429,45.03404486116817,46.61163629160874,42.94817870974605,40.660538659266194,40.37950987291346,39.69582473630262,43.11554910624559,44.08929040830569,45.15533364192978,45.01675045867088,44.577639106238216,48.477107847362795,49.153994070246355,48.74994945724297,48.12956920520408,42.91576340568721,46.81268336116549,49.331103389376395,47.599377790772074,51.875852216179986,51.91848732580425,55.775118529948955,54.303661239699316,54.56467745094761,53.78921461131364,50.73453029626492,48.67614188919018,45.533304969053574,44.42410692970029,42.81915571009339,38.15172680671546,37.532016176739134,33.30227977080178,32.43579444441364,31.81770601917931,30.478067199632925,28.455483547102578,26.780717828328676,26.979034585427573,23.966758742431278,21.467082582097863,22.117405192974527,22.441514196801897,17.772841429232603,16.56713137695152,16.899796437231892,15.220249477109338,12.278946113791829,12.562172239725538,14.858623718508303,16.95011490127116,20.338785900783204,21.653461819397766,22.66437733680083,27.921314532063068,29.06298245885131,33.014329211944265,34.90247913618573,35.016853994435365,38.323610997585405,37.76701243546328,41.82510223094459,39.463658257745585,35.0919441198067,39.02036182783857,41.82895745863728,37.73815722776943,37.30399450126589,41.57449624474551,40.58030759686351,36.59146196301351,38.92160029951331,33.92845799492558,37.36483197824246,38.56637798339597,35.66843782350341,38.11121707320279,38.765381579611486,38.03909702799939,34.629276111820836,33.34159645247695,34.28725891602745,31.462669806916054,28.35876539587139,28.335388062140833,26.63436115704553,23.417581309996958,25.46234206937898,24.779995169645282,20.434060528710788,20.577649239850885,23.57759242304777,23.77327014651403,27.920610477199205,29.485727484592644,32.52186000412666,28.844199751134234,25.59194971558316,30.62607237296777,30.26249641420304,26.88981431147563,28.724160488986236,33.34762154470263,30.44733707744282,27.39461784218184,31.908318318294377,34.49058589669588,31.512683282852215,28.973888279963525,24.940942590394847,27.588895710831554,23.943633104493337,21.323977445825687,18.61965796322271,19.10777367229188,16.329896576699703,17.211542667808857,20.57389514367484,23.431754303209644,25.789769893268712,25.851958570544937,25.494614019922597,29.237060126892157,27.65335379532353,24.0353978070588,27.810750584442125,26.910623219250645,28.64388266453717,25.185385197084955,21.631421241456874,22.189514861893056,22.95871047517909,17.86640962434497,17.387284151450828,18.252980001578702,19.265426441769637,20.03416732498543,20.273965164719947],[8.854923076564376,9.983143418498782,14.094662300697625,14.680248112587234,20.084567787810098,19.859284491193453,23.83410928488516,26.521595150209663,27.170987993441543,30.491634831016928,32.97526148686377,34.249841803552734,35.43654724940016,34.64764507340474,39.27473259730395,40.45120888114215,39.53217021288774,44.098448600797,46.71911572775422,48.502390871022506,51.940188865894896,55.106491736270044,56.0545839943754,54.84647083420575,51.52679026567756,48.34879084395429,46.10098361611936,42.61484865596537,43.38104393844415,42.331101351023946,46.163138859823945,44.3533217491246,47.68229011422539,51.86944191521924,49.57140403190765,48.32628041126037,46.3971962374091,47.60885186243816,46.85681610228612,51.43165370551247,49.02980004164406,51.147150786444286,55.15695218485458,54.3739088645161,56.29156505462459,54.813553537417675,58.661828173580886,57.812632688009685,53.01608056551075,56.36945145915474,58.79451181387949,57.752924228892056,60.53013447448495,55.6505566834963,60.31785057147852,63.258124644930994,59.75361879631496,59.21187909097895,64.06450374142068,64.05418897640591,60.899167500504795,62.29056656918831,60.41971139813552,62.46924988175195,59.93449331514744,56.081299995890824,53.88696931790634,50.79347833460417,48.53963796150459,46.17419312636205,45.60580728949378,48.00284422172074,49.68903639210305,53.20607796841095,51.814750288501145,57.834612302325006,56.46210955724647,58.90109121667127,57.57455241518131,58.12214660263549,55.419273217624955,54.49557239973175,51.12809056973113,51.27209436275951,48.77463897848635,48.33232005442639,51.3304537573451,51.56115645787083,52.35307861434912,55.06289528265709,53.23622111004272,56.29383108282163,52.65746172732245,50.07265026988863,45.4183456607545,45.597724200637266,41.408066344878165,42.891747247460316,39.575975571345644,38.94367049452123,41.95462148998579,39.15543879406306,42.37088411459883,38.75261851370387,41.46243441814909,36.04613865416093,36.51010676116377,35.43347802818699,30.88852768920617,31.656580052969375,27.6061390720685,30.76365688075681,28.88611881123072,30.8158943035681,32.97899318255559,33.725474464392235,37.61084004405224,38.512320091698044,43.51938125145525,41.38851430777408,38.71458147238,35.46588096239348,33.01505251299536,30.355923265358587,27.3997726196524,28.17779597820262,24.21597085642281,28.48156137691205,29.431545798515014,34.2029586794979,32.3858343824982,35.80824025878905,38.07555708884,39.36823758675675,36.57960843533111,34.01503351745534,30.52467444299668,31.538305981592163,31.811427193764366,35.26646575967867,38.00711129999451,42.792350960755165,42.61804943358678,39.813451661038506,42.65216606057411,41.128433045344096,37.95853391196191,36.49167640211391,34.68976584870804,31.755466859286653,30.876859905467334,30.4577125835084,33.0998431401743,31.501406213293222,34.53441849249262,36.01744355159608,35.63356998164948,35.18641919333243,37.7033032713624,36.13165533129399,37.07743362126258,41.23270816321297,39.87943345990279,44.00448790954563,43.377374656452105,40.863787372476665,41.56886955442122,42.930832253657265,39.216246791938644,37.0308343250632,36.89728526211395,36.431455491797465,40.08411503202682,41.32339116513179,42.67402273924771,42.83663443347192,42.612637912179956,46.592869109610135,46.8706252436011,46.45202450641255,45.414195460213264,40.35550478891573,43.958667137379734,46.291715223911005,44.50046863057569,48.846518473078895,49.00207668723593,52.643809010659815,50.96502924942274,51.183296990731336,50.26359034876261,47.35541459208718,45.18450385943602,42.06625404643378,41.00259304355069,39.35456502288077,34.68618579140475,34.27364581764004,30.06031288230953,29.57059929739207,29.137954254930623,28.206880579271107,25.906587902114364,23.954324422801534,24.71398160388126,21.852831275607226,18.49969657784599,19.61806328477289,20.915083058474952,15.788414652423183,14.250545599425694,15.43562798679561,14.27152575914062,10.38734325049163,10.779115075690257,12.205336521717786,15.58590620378168,17.5258946315919,19.15502311952559,20.84849629911034,25.992495323830884,27.788433317309998,31.26490327194669,33.323049516490975,33.13106407690594,36.465404737926676,35.79515297582689,39.65348224375125,37.21209735118568,32.594852842186995,36.50321049045143,39.1258593300227,34.83532699991482,34.32148221633774,38.53757425954013,37.31736860338142,33.22633818851395,35.51260419141679,30.73678094665522,34.5181106222939,35.947575502370945,33.4413662668122,36.167473961639594,37.28738064124006,36.51493002422298,32.73204487812063,31.95895588243534,33.265391338939075,30.11603196527124,26.926110308776366,27.60920898571116,26.118973523103275,22.464090945750257,24.82694449410599,24.762469626302366,20.42389544695274,20.153197143555673,23.354650967636715,22.892798450041912,26.914028109460784,28.078166988695948,30.980953179853085,27.447283871153008,23.68390540509712,28.525135621317233,28.127672276379197,24.605352709084574,25.983020061333043,30.74394637606433,27.744699539765975,24.289931161051157,28.70811130285596,31.446981197493578,28.348294915297394,25.542884515604495,21.313430803387718,23.960558469344257,20.083862063214664,17.934826258932805,14.779954823858617,15.669308780009741,12.970734163642723,13.176732024638104,16.62035088139318,19.39818598392902,21.884954647002704,22.361649801822878,22.12154078218296,26.10519827730012,24.64814055869466,21.44543576337953,25.792492391256115,25.276203128463795,27.338341639478667,23.463815256892318,20.030922873532557,21.38440559679501,21.773822370340312,16.370879384539652,16.58581768930983,18.37767263169909,19.70811870409247,20.638235527767595,21.01819286401756],[4.976630425538132,6.283469943240056,10.898283907332805,11.472046312006684,16.961864891990675,15.936280837856305,19.937628104530148,22.459022840329137,23.090469108826493,26.549293929009497,28.978836630692772,30.133859944387684,31.453985629502704,30.794666809895514,35.32273683238411,36.46785537288162,35.7293891307391,40.330490189500395,43.16491498811951,44.88608128653948,48.43466264157128,51.619990557423165,52.69462518739122,51.6542073861881,48.259925379957586,45.02494059917417,42.683552735147266,39.07066807316488,39.62228908084296,38.416593378311305,42.18911902301081,40.29491299723801,43.5724671771434,47.80015639627101,45.55979968891187,44.42615968998543,42.468322910731054,43.89232646843814,43.29705954063948,47.95032575131521,45.712014369898256,47.679540268017426,51.69297598633443,51.099886285887415,53.16855786828503,51.88860090847903,55.753071698420726,54.68239400905149,49.98919707770046,53.49536868870977,55.70216359256081,54.58727052882723,57.23218796336151,52.26311020587469,56.79556480698286,59.80526227013845,56.316056846463276,55.574917339239995,60.434076088512576,60.58713677888935,57.33359547361933,58.58064819459306,56.61463518314451,58.79153892693875,56.34095036107639,52.39880018938148,50.26945156646544,47.05059212084697,44.92907763626017,42.44366318788338,42.019249019682064,44.483293144834704,45.98544146222743,49.54043931092789,47.98289941976196,53.96168989760031,52.606227049513045,54.94249237420014,53.66125124821728,54.29616231553069,51.56528255284529,50.79429873005646,47.345443171193274,47.68450478528014,45.25450065962642,44.61495478978671,47.595298511185185,47.662502858308464,48.49586208784912,51.05833098146474,49.264483073665176,52.31450055511359,48.65330957637029,46.01048720814642,41.37431414196846,41.56353399729094,37.400090507649885,38.771973173117594,35.435470085591234,34.78873272089172,37.839553463654376,35.1205542965922,38.399244703701676,34.91873319112964,37.886311143273325,32.52299850600229,33.230329992759536,32.41602682344002,27.858821878572293,28.248539920258814,24.11569197907066,27.184005626708988,25.092247476462983,27.24107714630357,29.297908826326307,30.30946629440083,34.133661334044824,35.32113721822833,40.20767875340692,37.82819053916375,35.27307000279531,31.9292472655582,29.75658528922834,26.93522407998863,23.794435452739368,24.840034087476976,20.764565634282423,25.19614078965295,26.31381491765216,31.054097136213272,29.730836637180705,33.206457920603825,35.48414443639521,36.39850484772502,33.77169264091185,30.984775793928012,27.95107068184871,28.697433455406635,28.95768054541922,32.23273764845488,35.25127499101394,39.96126546307755,39.481303636949875,36.588523472375776,39.31557763025819,37.543002790495855,34.425418928138896,32.744850815402486,30.90995815488007,27.814313652709615,26.930262935478094,26.343479785890956,29.061929083747657,27.449906978662884,30.40009982955291,31.893681552220322,31.525187190880775,31.182116352171086,33.71602221094162,32.366594419618366,33.54046114180078,37.598640191769434,36.569884527342865,40.62038559585698,40.345247438880484,38.12115331088747,38.9640598029639,40.64006310368873,37.044833304554224,34.647264675519786,34.32153155241271,33.545699073857364,36.97668971303748,38.00042730793613,39.139706658392875,39.166616840490434,38.77601204254839,42.78560426552261,43.23275655362699,42.891165666419674,42.09647601393293,36.993398978384576,40.89493884320359,43.397918538471735,41.56360924243414,45.76216941882443,45.76867972106219,49.63325867658629,48.16674797499315,48.46520755522841,47.7700267458757,44.68310064348472,42.75676968558407,39.67816652797311,38.708608166303414,37.33209470381578,32.573759017062066,32.20740799255592,28.151084642948373,27.15074579653633,27.151496254731136,25.738081635602644,23.25240616935097,22.01694542320055,22.81625996392179,19.369917494198727,16.488297931716744,18.154449970688628,19.010596113955962,13.421088205344399,12.772646801626852,14.31041804179915,12.13021084708495,8.356327227336067,10.615215145020123,12.107540115715697,15.830519396751615,18.2445247730738,19.026944103147567,20.887056083811817,26.144209972715217,28.145379586581054,31.4440534133264,32.96391319905416,32.384711277823435,35.428031098304515,34.252284202780146,38.36567827835051,36.358194577576185,31.371685173500204,35.01286583030852,38.10233929512404,33.97503087845407,33.025662847736434,37.15074801224473,36.54730967891867,32.4398760663312,34.05409457380191,29.238299595591112,32.396151536976106,33.974472372804485,31.47846830743613,33.88110752222618,35.105341936470694,33.8765772001344,30.237501953674034,29.77909254163948,30.68623401523276,27.263931098783534,24.517961487975423,25.20930339365329,23.423631692740003,19.94722207279402,22.950814342786583,22.745494649811054,18.11429047899388,18.636860744985903,22.21886427436276,21.84438740981129,25.70441548120957,26.44171481789443,29.761057961217997,26.727748491676557,22.521552470394063,27.32472590341558,27.58739950733992,24.14888866536355,25.035720435055737,30.25163970296542,27.89057853230832,24.056450855796374,28.122110942487957,31.438071922743706,28.81681999911467,25.794322658942246,21.40176447523578,24.832042490009286,21.028301754193237,19.106839499990517,15.20872115703227,15.092493347442378,11.365062771259325,12.55060916581081,15.797696032245662,19.135720746523432,21.032534848392746,21.123090679951403,19.951857936099014,23.710693764753493,21.72024082380228,18.36219080012404,22.53450360788031,22.17752657170969,23.833820523427093,19.799978008334673,16.671885069616817,17.808172883686783,17.788624570328356,12.515311492554696,13.19388801235032,14.975076236640636,16.47645967138571,17.63777240019814,18.354287348001282],[7.38982827051216,8.273074882916427,12.569517118076982,11.519273674915391,17.462156546865174,16.556165584120937,20.252988061539007,23.169841834358092,23.199549037752323,26.26328671328244,28.66391751909075,30.273899012839575,31.37881034578405,30.201030955855984,34.90942359905533,36.28963055191089,35.307886841539535,39.796503914564454,42.32917739384576,44.35569355501044,47.723341243808086,51.0799251923787,51.930337769956765,50.79064757663576,47.54776539359392,44.18903243101206,42.12999848641049,38.56327959237914,39.33306290858381,38.433438725052525,41.936836146864046,40.51667550346975,43.81136428561171,47.91058476125349,45.717037171053185,44.35016673262144,42.746422303775134,43.860259460337886,43.23936819114737,48.15185241665282,45.524671987793724,47.33570468453798,51.468904616265185,50.80149821520621,52.65424128491219,51.33732690494735,55.26480195075667,54.39486124887715,49.76385449597196,53.39169420471486,55.74886418761573,54.813665459125886,57.453964036977396,52.45710363704882,57.14645664826647,59.92470276676674,56.25533387264571,55.635269859184085,60.5023962091321,60.41247968351537,57.04354334841919,58.2797255979988,56.329259260411,58.24354840523673,55.812384840359435,52.00650036071356,49.52572864057093,46.440643706978,43.9826631665859,41.58054183342687,40.903198678555725,43.18663565426546,44.999198793662444,48.591072446555145,47.36574410089179,53.43199583617443,52.26263463111606,54.79154654244697,53.6342433020257,54.33648919630214,51.887582818928784,51.172908205161114,48.00351595179013,48.36400764471672,45.6957351872174,45.00157287518954,47.7002564842053,47.995547901242766,48.417485902104936,51.13227386540508,49.0674496961083,51.98292632471453,48.34584126406019,45.88030927207321,41.193020214610435,41.27977865641906,37.04324329778173,38.92256245986083,35.77306863268735,35.607966503476604,38.52929092205225,36.28755162328177,39.29052291908838,36.181261171706126,39.201960400139875,33.87442262966905,34.96816385430163,34.059355790551415,29.510077368851842,29.85780933155179,25.47650779705345,28.02695174670476,25.601870755791296,27.33643812741104,28.99336270523869,29.70494106406995,33.464294734208174,34.37559254603773,39.14604905978747,36.983477186489445,34.20343270098291,30.987960524040616,28.643375008797893,26.1233327052075,23.33940089720795,24.694152900224367,21.377125843489026,25.836619583965216,27.36186745609009,32.20601521138856,30.876655616533917,34.6351715436533,36.545573645415274,37.590007541729996,34.534054493761964,31.50342585503567,28.397176020080234,28.66347338392752,28.47168313943111,31.82381214913953,34.35472979834568,39.15477475918619,38.77000778836083,36.0829539122913,39.02211720909392,37.378403907446504,34.23406020303371,32.851030948833916,31.37935764647461,28.31169885136506,27.98304423859703,27.2921087757132,30.493835808159652,28.810165905728507,31.38565395053334,32.92784636144691,32.24092386196058,32.2235625835555,34.34033902893453,33.27788703975393,34.04290117714382,37.85851316834357,36.5320903633083,40.78884855958382,40.48167655691899,37.95528732452196,39.15200420214155,40.62303930960874,37.16250217641616,34.56874198353669,34.543730281476805,33.638774264887125,37.350068720622865,38.55874163068435,39.759302996266186,40.04855630949244,39.40671654809845,43.725116608733984,43.95720564991808,43.8552635622476,42.81895059875309,37.99351664599215,41.90918597710456,44.32211011587059,42.25084137895253,46.21060748742542,45.97432256758579,49.85912797416874,48.03574384194839,48.64881629743165,48.018987683729954,45.08696775777376,43.336061574382676,40.40997247117245,39.67882785963776,38.48165157316203,33.66362955657997,33.69141263886413,29.77499536350088,28.954920880170103,29.366787074522435,28.082604873219655,25.27195470167204,24.163013127220246,25.414419738990418,21.893131788830612,18.531011031995046,20.739163563112786,22.025440266276103,16.179873905513382,15.555185513602627,17.468722204483278,15.348001146434399,11.364315642714557,13.602107476856617,14.65998295545034,18.84365211816978,20.431522237183916,21.60244050226348,23.77179420518236,28.930187577885455,31.128789893018432,34.27983749471037,35.950524428224185,35.26482171763427,38.30642011840001,37.02422370780655,41.04371892465499,39.027228443682404,33.88062528033183,37.448282502548274,40.44581570509538,36.18604376399544,35.11830946496383,39.15209517690346,38.40403320983371,34.19689882239955,35.61262424705929,31.082121405916745,34.353851457722314,36.19882483620504,34.01417584563384,36.46328473687011,37.95116572430058,36.5192099062748,32.777263915375435,32.69164532857835,33.568559946882125,29.916684561784813,27.371213958817,28.27548846728157,26.420112320820273,22.961250663346373,26.190577486309895,26.025012207106602,21.332960055528513,21.97759745703254,25.595369027503953,25.11755976394922,28.928043761876182,29.493290275653354,32.79153187699934,29.83107894646679,25.43602029080096,30.106711823956786,30.355683040567136,26.84875250503679,27.43094832181425,32.713494837816135,30.217107957976467,26.137888738566534,30.095076928880342,33.49087243691684,30.67474461656477,27.446850802042526,22.88370985051834,26.035277894684445,21.868524404097077,20.58600942734109,16.40026678171475,16.942698181805476,13.17268135049738,13.295600420149116,16.702978648988932,19.92849375022366,22.00681000242023,22.7285031678365,21.262755454430614,25.203619023817602,22.811779300206275,20.003516429912192,24.525751351596988,24.57976365597492,26.007163519967033,21.55216692593309,18.955142072643458,20.168787237685056,19.31558267918679,14.307824334960905,15.812311900490467,17.551496244174977,18.98541495204104,20.10643507455661,20.82034222716788],[6.738622743314629,7.980107495440999,12.291220066505856,10.611056235252915,16.54020892859093,14.235801258178363,17.699771275380762,20.348219534822658,19.86609484876517,23.016801447676063,25.149694099778696,26.753105504810662,28.197141511229585,26.871193268937205,31.45159144916692,32.99437496466768,32.29158450056311,36.75257640707368,39.486590755614905,41.630912014575195,45.067255869955986,48.57116190876952,49.48792951188091,48.56194152570898,45.312449733458074,41.78134484005606,39.765089651174044,36.01536822711247,36.507939976980275,35.47411734009187,38.59155521074612,37.30144388066404,40.416001389214216,44.564876424686354,42.582426800792845,41.34441498770906,39.88926666201377,41.26583147213748,40.91734749669412,46.06236334497683,43.52246167751898,44.99454610306324,49.187646320360884,48.78729667269217,50.747089678510854,49.70524973967004,53.67311009556231,52.58997753210794,48.15810641011356,52.03569201308745,54.14562378311607,53.1809694793771,55.617128000341744,50.49328211933511,55.01724808913453,57.79870042191123,54.08417150060756,53.19334953928313,58.06272881104592,58.12509404097708,54.53640781030902,55.499746349296245,53.36861961211107,55.352732451827094,53.10641592909997,49.23155061548423,46.61875782669104,43.37727177799995,40.90083188187299,38.27518724338689,37.67005011997507,39.86372785850582,41.59825664073612,45.359935173371575,44.06134900661597,50.09301587541333,49.14983032316004,51.56732896044948,50.610151001975595,51.5364777039521,49.17833607604629,48.77557298165195,45.5762207773534,46.28165208977671,43.653240172175096,42.60474130080665,45.129331344218926,45.2125843141364,45.49689820085291,47.953599644013266,45.775013066014274,48.52486395381514,44.81413082656482,42.3105919313657,37.648945261668075,37.55912226856793,33.354763329258404,35.386832726669894,32.31182860789594,32.231533889675184,35.377978155373576,33.497633400552054,36.596987037965064,33.88501229884833,37.35696065368894,32.18338864771251,33.682067517496904,33.156862851814935,28.671465025535518,28.45060916912084,23.996259168953344,26.20508650182776,23.288322220858213,25.20152279594265,26.376616082920723,27.383883673984514,30.949883023803036,32.165753519408575,36.595392203684085,34.134296823390315,31.39902174265826,28.115359773090958,26.20723943645475,23.65826754054163,20.822562959592677,22.879870376449606,19.831069588161427,24.459810221241007,26.33041020048817,31.06970751485977,30.41699918823724,34.23255968384117,36.06331463057256,36.63765101968855,33.728271051849866,30.359419410386955,27.888289117967663,27.60146694233998,27.164005502183606,30.247295568632012,32.875442342137426,37.57997725176676,36.788787924581364,34.10804197123225,36.96993540250245,34.98288525367746,31.93917032671767,30.33901939542172,28.999990113616747,25.635545692330876,25.508968316147023,24.309978533949316,27.704775059781106,25.675761828130003,28.040797980904483,29.821324904083255,29.162453670072367,29.545870297481336,31.55739715346846,31.0719403240415,32.08532355363275,35.597294675210236,34.677675155434024,38.881545508734064,39.08561404750077,36.85141646408988,38.36342887772096,40.1319423940201,36.90074048784873,34.00773091571089,33.85758805168027,32.50145281538393,35.97235872710887,36.920609527067455,37.80072426434681,37.94271718685399,36.91616923696311,41.35880333748432,41.831271407526394,41.92651212381843,41.20689839884697,36.435084562107896,40.746367477774015,43.34503540938474,41.1696262654979,44.82180732432117,44.28131364776726,48.46802303029033,46.7983714176758,47.63963408803867,47.32018229156515,44.239554091848916,42.85920652515307,40.049694399707896,39.49432399854094,38.652501060667106,33.786129549537236,33.928528867655594,30.261954543344817,28.911461301892956,29.802322868718857,27.99832071322361,25.048230525782735,24.77607288767494,25.993547065293512,21.95805923983286,19.273414214286163,21.879085789012905,22.573414647906105,16.62827436538715,16.878436631995356,18.817002560268897,15.847229696270073,12.491984073028643,15.792927412539512,17.01619976012014,21.060577727408077,23.17895501639143,23.743149382835316,25.876275838643352,31.07954746246517,33.27265925619378,36.37358206370605,37.59316612703985,36.65604803130882,39.415309142548764,37.705992509077205,41.95106224219054,40.34950543899342,34.96259317233236,38.24294980287146,41.65603982400754,37.59509890507895,36.15096203665693,40.05240861865392,39.87717281915944,35.69761307507297,36.462127681369346,31.976575280785177,34.55700081776866,36.53399973334885,34.35835441361105,36.398593310762266,37.900409812210114,35.99361853521339,32.53129006547756,32.697895992336704,33.04845007531359,29.21468453976479,27.249815908706946,27.975744783650907,25.774111498942453,22.73597064283977,26.441806948064713,25.959614386679707,21.099672562546772,22.60540583096151,26.40832032550665,26.18486245849258,29.824452050657218,30.089943722278008,33.74150152206083,31.209044730384104,26.621479031550003,31.210049875999598,32.0068916086989,28.63405321407764,28.872409836850792,34.4395156013571,32.465088887966154,28.19246732975511,31.81976698963183,35.62296718683674,33.184882180755906,29.847172810788503,25.23786897768942,28.861151710716058,24.775746671314998,23.654094798930334,19.125651821591422,18.984156212169736,14.60756676211751,15.392550631416055,18.490872658571718,22.033660809553197,23.595459758882317,24.0307458709074,21.64709717095214,25.242045628008594,22.171467520900627,19.370233636618384,23.502398872504827,23.747735150603777,24.489083134602286,19.93810194435081,17.96947679083831,18.611461289083373,17.024077383237817,12.695729316964146,14.779871777163002,16.013245189489584,17.376540685780032,18.603753488963974,19.56245735888053],[11.511532487145464,13.122881874457446,17.3143203974116,14.825148986613625,20.731845145697,18.087434189580584,20.99115140970337,23.57821792986196,22.136649048718073,24.87089428452912,26.54477943903218,28.526971378618434,30.184717130393008,28.119336577943095,32.64031455130686,34.6315740555672,33.967700946011114,38.17780639198028,40.65498510172414,43.28119907962835,46.49609697428886,50.300379507777315,50.96183698451741,50.05247128584404,47.04082773005852,43.26647681757481,41.68139196315259,37.91628344563319,38.43950656066076,37.63135784950415,39.988476676851334,39.349344624034174,42.19769305986279,46.254932810654,44.59426220882547,43.274632875868264,42.326367216794424,43.60130506989214,43.425133112190075,48.92684852163019,46.05266838970006,47.119649711116004,51.45100738606697,51.13105486415437,52.8707692571225,51.93093807897922,55.96473884076893,55.0276825669379,50.80172123528965,54.89295830852466,57.043018308878146,56.25535289880803,58.56973081500263,53.38340949426015,57.93186478158344,60.47020766859649,56.56130828741119,55.62470619941999,60.47071965489652,60.37305029139988,56.521717940065315,57.24820250374104,54.98727884964948,56.69950879435391,54.65679758318605,50.92648523981491,47.76898707715968,44.59098594190634,41.65297402531673,38.93082448965255,38.02725113281034,39.761196520631415,41.893259105702235,45.88327449503178,44.98753581234792,51.02760901629803,50.584293489911964,53.076177149341504,52.475311960549995,53.67411652803355,51.68830951669948,51.58394109507817,48.62890356663821,49.57904918379197,46.79589476427478,45.48008027264625,47.58094169231169,47.70463062347693,47.4581419430725,49.77888380308524,47.208518406874624,49.56094103743713,45.80968289872461,43.46855556229319,38.85945186494663,38.35374267692266,34.201679737238116,36.95865660807766,34.19805737245499,34.48345953291636,37.87278997491305,36.66815291001332,39.68983799265236,37.547562777429896,41.310006903761476,36.3024243968326,38.1602708445483,37.74868551720457,33.32927099158513,32.87698223329873,28.3453016648737,30.04320681485313,26.67492472059387,28.277983598189387,28.68082958154646,29.506378327106205,32.76686602039293,33.788090840360056,37.72463340153742,35.37269863998991,32.40161673385493,29.328638505753176,27.57952338635,25.528832940951663,23.22541860140896,25.951487136283216,23.794400466445786,28.380004003207816,30.62169225811606,35.32681048382529,34.863407758647696,38.83451945776078,40.39144456585122,40.92352961558035,37.77303792563675,34.14756769487115,31.823341817552492,30.949646704869664,29.944440010044044,32.93803929178471,34.939223514096604,39.641106559219004,38.78306929639107,36.41204170916253,39.43574322547331,37.41204075754254,34.46127219684375,33.05645865548611,32.16625799460775,28.681605029956028,29.073372926937804,27.354520705386346,31.00906188688893,28.40258269018151,30.42950838463913,32.60685882523703,31.872204385132182,32.843140580277506,34.47131572359741,34.64234518656628,35.47865313560768,38.538337472333986,37.56837921970586,41.89535454947842,42.30254705894541,39.885674338187435,41.84556878186421,43.45820213697805,40.447199430753926,37.32786673311544,37.45466825026467,35.86027273089479,39.46391822137664,40.453305847844874,41.2099484791422,41.463256676119904,39.99580666454372,44.7013615623436,45.180194630260615,45.570632742885266,44.84215098414817,40.354966548368296,44.80095345830722,47.376896074386316,44.99158965910697,48.285101056027194,47.38012813734115,51.68453160343059,49.71438115513554,50.96151617614638,50.8032294562743,47.8562374983792,46.743938295809386,44.11338303724626,43.78682044252618,43.131882492499464,38.25082984342181,38.6593626988951,35.106367409514235,33.807911592234774,34.88873957207423,33.06308395367036,30.02476163406284,29.85966761573929,31.15346889423986,27.082289941308716,24.339732384610542,26.998727310309935,27.654033344374522,21.764314214777254,21.925737115608257,23.70466753074111,20.71486527032,17.44203619512105,20.335722531165555,21.681308795489382,25.566865847762372,27.65053760555335,28.572134111620425,30.63657479796766,35.87436966764031,37.90654803663146,41.181719168796384,42.54890912392533,41.73157825664884,44.540873625553516,42.86405692251592,47.10926158266405,45.46696852887626,40.09630627776657,43.37855172264198,46.743764933993305,42.62065306195214,41.179861578985324,45.044502086415534,44.75117455336482,40.5266401791643,41.243095743632146,36.91843301279556,39.51999491868161,41.600289086621096,39.492995742587546,41.46902276610243,42.94400339208616,40.92520246716117,37.56496375618155,37.73826434823508,37.91092885135187,34.09257696561941,32.285512184167985,32.80886566573115,30.46840980373693,27.64903325541635,31.28520704139809,30.529644239718262,25.638710434275392,27.321338426280388,31.033856512715417,31.031555848518437,34.7641846127521,35.16533247597305,38.82636995526318,36.17259759573057,31.710906853265012,36.34465433239273,37.03042195423186,33.61629971780946,33.93341803075432,39.44826621534192,37.26303718143451,33.013813668083515,36.70166348206027,40.409128038986026,37.744004266736795,34.37686164615561,29.7178713276118,32.95400298255891,28.63003244659397,27.744343610060383,23.32967773997842,23.736131258133714,19.51731011990449,19.660038574713077,22.885753991464107,26.226432521004554,28.01545590123981,28.85222619077469,26.391894800852654,30.025735753294146,26.664991511760423,24.196826002242357,28.272491110780372,28.62952847562908,29.01762718898557,24.44072096316199,22.83878218476637,23.107414441080557,21.10724306822847,17.383974679289942,19.494064388052678,20.123967286276127,21.17345720590834,22.172893479967303,22.932053424066766],[14.98652247277986,16.447759975654236,20.30809705462733,17.166884198735232,22.815920471188903,19.87051569999957,22.21420510027335,24.74906862840347,22.596313150602757,24.869337505297732,26.1945523160692,28.494712763876812,30.17500703027989,27.574247868484754,31.995814867371642,34.28821762653792,33.62846545754564,37.593477909556654,39.85894503257854,42.818810631380835,45.849321054579406,49.857167265928595,50.33792360623808,49.48049205408841,46.65699050208714,42.71790391220251,41.463323571261,37.7095089712022,38.2377507781527,37.62934520205559,39.39962404753406,39.29506905844793,41.95413709719063,45.871201021672064,44.439452874491124,43.03568885543492,42.50747487441176,43.66839967839645,43.64014773952826,49.39995090267674,46.29679520456008,47.00957761233671,51.41956007373492,51.196278219053,52.78259779411881,51.97670432560735,56.03997699980086,55.171452776935624,51.160074862709216,55.433540802718646,57.554638078253205,56.90284134492806,59.08146000044499,53.86051658843081,58.3907870912489,60.71876373468782,56.67411452468392,55.689084922276294,60.491772321172384,60.27886246061523,56.23050182867706,56.76298930654753,54.41787179919174,55.914911306098084,54.039634499602855,50.43731253103255,46.89519183396635,43.78626808502141,40.53851281818537,37.77889617736256,36.671126209082566,38.07251011185197,40.46203446714883,44.57146583811658,43.98008653844125,49.98947913360954,49.907069252375855,52.460036470871145,52.1230153881938,53.51763505962636,51.8506939742911,51.9844512956067,49.26750838815205,50.41705056066076,47.515251038355814,45.977513941113486,47.71046409313931,47.88410605952502,47.20394051746461,49.438326947116835,46.57943376058481,48.63599152549253,44.90041694639114,42.73095535378815,38.192333823374796,37.42972234050907,33.34620920943831,36.64067089662457,34.175304832739165,34.87194147279961,38.26480833251,37.66197515137413,40.492991013231354,38.87592077673182,42.836977892458066,38.021240967429144,40.2545470706644,39.95897395624349,35.64638198502125,34.948915274634594,30.36904004631744,31.545492929104245,27.834834046282193,29.15458157605832,28.91968392574631,29.622054736437857,32.57537317832803,33.48708907720304,36.96605212417313,34.68972745727343,31.59949516998449,28.727974769668503,27.18718753239117,25.538188624880537,23.683484440118484,26.914555750356985,25.528705597560243,30.010260158955152,32.580984700833795,37.193239487243865,37.00880685182324,41.10304979599616,42.38208786299627,42.791481080465154,39.480722342917204,35.624511455873794,33.58161419471493,32.15965030492511,30.71487347338515,33.53012989533018,35.08570383239134,39.69746953239856,38.71503727924167,36.59697579654546,39.68876213540266,37.62274912257218,34.79056417994052,33.54894127493607,33.04865923973849,29.539216703834857,30.41181937617331,28.385592261937266,32.31353884375244,29.488816067830022,31.073943049298165,33.407924794896154,32.5066829173889,33.9303341111069,35.156295730554014,35.85935699094115,36.5167300325321,39.15153374327175,38.19104918301322,42.56060569079938,43.19861873250367,40.736171071520495,43.079884917849064,44.643206003491066,41.884622526641685,38.55321021252097,38.84514153729137,36.987903946931915,40.605223149260524,41.58288105538093,42.20522986484702,42.56284020963434,40.72732189152966,45.63962281549309,46.09190852211321,46.752464761425415,46.027062298844456,41.833192520173554,46.40297643206891,48.96851429594219,46.40330150339329,49.32887004701858,48.0953169002475,52.5113672398766,50.36005428277999,51.95348718542902,51.9932691301977,49.13173442394906,48.325620352982305,45.88463658790472,45.792233799665176,45.3960528878283,40.523484035596105,41.196694732123,37.84763788182853,36.48435786290614,37.90799401655337,35.99487603769187,32.80563962297338,32.9527732362438,34.41281908513456,30.211252271496104,27.501815883391952,30.427776743195874,31.080636815782395,25.145714022063274,25.489590699246698,27.369511142750458,24.242355001742343,21.062244706233702,24.09984710189623,25.359955572581242,29.346689947347016,31.27109197982859,32.210786024706316,34.368319857519836,39.5837497760295,41.67449975613985,44.89332488296551,46.20914714317573,45.28815193226847,48.011644063586665,46.16322908752616,50.42601619966907,48.91073979801978,43.412770550164986,46.559227673166355,49.9982084777329,45.88450968158952,44.27921484658241,48.03374468076769,47.84541089093038,43.600117200885116,44.00325743288007,39.88117586100536,42.292403561400675,44.537205348230415,42.595071164062574,44.43869698520022,46.02426946107775,43.754168558448136,40.48180615510548,40.89648505111433,40.86416684529042,36.92811463751029,35.42264033670353,35.95003417327835,33.48678637384703,30.855465069748302,34.667034159448804,33.81201235458235,28.90450333766297,30.851161654671504,34.5969761369254,34.64736246181135,38.31482171264527,38.576597549272066,42.32132747950761,39.810659922635566,35.246444443146395,39.79552173775887,40.618166037068136,37.21498879038642,37.32543310447142,42.92510666222252,40.815300957102544,36.42983256525211,39.96751501104537,43.80540914366845,41.14985099230418,37.67799521632454,32.96565005600631,36.15109637799808,31.72035334165861,31.15555754760616,26.61289717337162,27.12268369678362,22.83350907344727,22.73059500028976,25.86121944539233,29.15026545163422,30.861357492558817,31.90606925766495,29.097254650344343,32.634249167388134,28.916701898594507,26.80796782132445,30.8007766799421,31.399969450260937,31.418617548117197,26.748079879646056,25.650258234568174,25.73257807838158,23.173886193791738,20.06029685443856,22.508173191678853,22.891146798031386,23.804079506225868,24.723155351237015,25.46690748409882],[18.058878832085444,19.455967980075226,23.01088682935936,19.522506238240382,24.76196545018062,21.313205181895473,23.070283953387392,25.345516603274543,22.52754555966829,24.390744094700025,25.250957466233878,27.735658002906067,29.564445675196247,26.529752075027677,30.703421880436352,33.2756167641082,32.76914141019583,36.46499368371591,38.63431498228577,41.86761943564335,44.75978995871425,48.94903922461841,49.32383055145727,48.60936906846446,45.94753679610734,41.85092678887948,40.87533422750384,37.100147842148964,37.495562094307466,36.982134608181575,38.0922619067233,38.45989928121544,40.85062639990771,44.644773381097885,43.50307806041055,42.11558244915877,41.9710903316947,43.155454135895546,43.355873524889546,49.334132788758545,46.141908492892256,46.44646527522627,50.89755247763146,50.862506322109795,52.374443923483305,51.78909886690094,55.858101959975464,54.95125550320711,51.20722687914081,55.67419132650531,57.65589845602927,57.08863453481459,59.072414026560686,53.81080724430075,58.22448241530097,60.39278768748864,56.26067591649649,55.12826893437195,59.86882515767921,59.64454998350299,55.38321936283598,55.6458854913087,53.169635171378964,54.53040680937237,52.87904180105116,49.366352612663775,45.504839355230345,42.40238188421697,38.93915875475679,36.066988997542374,34.84367509690354,35.90614293483757,38.444100924544806,42.70100921901993,42.31718440894849,48.236239062608576,48.53995459236689,51.06411972845084,51.02104732249287,52.652118799285944,51.26869120616429,51.7090873340328,49.1700983004251,50.59427907677945,47.65911065023569,45.83085059854817,47.207989483626264,47.31891656941212,46.267556042317274,48.29316540855261,45.1890846052865,46.91867195532378,43.18793713948948,41.152303913424156,36.736081291111,35.68228039745909,31.730880048768842,35.48174715286637,33.323890672837265,34.35077610596377,37.8026590544997,37.80096073836519,40.499364382536506,39.43605420541518,43.65352032141689,39.0955233050876,41.68404948092225,41.60528731912032,37.44191186115846,36.40426443302824,31.865165932382403,32.557906145099786,28.526979056624825,29.68525485562029,28.793258714892545,29.516492375896174,32.08545155786418,33.034971114312825,35.94998947418346,33.62537439804452,30.519574985386345,27.83878688977446,26.711998734529875,25.40965959738681,23.93901832681622,27.698532395185037,26.96335058311778,31.308565804123614,34.1486178625018,38.583852429547605,38.814637754201456,42.95017770701164,44.019481151413174,44.17512167913452,40.86178629886853,36.79433528554214,35.19286309513879,33.255903562383864,31.461273150549978,33.98680315678582,35.243619799323305,39.67690920024864,38.445189647164405,36.54486583437065,39.60257069804149,37.389116314517175,34.73681173815052,33.54281876633644,33.38524420714403,29.818894441401966,31.08359211486971,28.68135621732809,32.769595382345805,29.699017831143166,30.834886168321205,33.348460673141076,32.367001634921344,34.258438995100285,35.13334838463917,36.43845482244151,37.06503973540568,39.2370026637499,38.47001660483094,42.78286374959654,43.77951312078955,41.435219799974284,44.122597868323524,45.75205662139365,43.27028978982623,39.73673972864284,40.081496498865455,37.912413113707245,41.389890883997865,42.24209668577648,42.63513049314201,42.99621339743213,40.77145937870485,45.81372158294884,46.346284260213544,47.261943307315484,46.67737760386073,42.74869507898021,47.49852494624356,50.104275519885654,47.40889790423979,49.943360621334165,48.37684673763298,52.95159871554554,50.76228846520473,52.6629317376638,52.95454398828345,50.11459627010963,49.65290408069295,47.396394359471664,47.512658313978264,47.40280020276874,42.56401250097216,43.42255439772824,40.30388627592344,38.74535928263249,40.498706669749474,38.3896745272602,35.11701420313603,35.688776249447905,37.2093239016472,32.837677458481316,30.379183877078887,33.51074691146758,33.987072761648136,28.08830146695646,28.731447098890786,30.646424627920513,27.279365475001907,24.341031308947457,27.646846416135826,28.90061919162642,32.891255545375266,34.8800830340093,35.659648644131096,37.84645065470795,43.0542853002216,45.16928627107411,48.341701158645726,49.482330597954146,48.427552996272446,51.002731951628135,48.92696576690664,53.256439211060474,51.95563898537461,46.333392075144076,49.29498101035477,52.89962128214065,48.873535342076224,47.062527507182196,50.691342819447776,50.75647424188485,46.527748233013654,46.540368584496036,42.57354554160629,44.62970317916972,46.99445342744636,45.16096737253415,46.7761228110926,48.4144448226736,45.85372820184012,42.763310579342836,43.39174755798164,43.06237711105819,39.04685377875441,37.92146991919119,38.38177331155727,35.769959349194444,33.41940025844283,37.41746647177809,36.41591040059325,31.52189137517272,33.83044808486457,37.61175745392294,37.766624307871204,41.32506550438465,41.4196388652296,45.29760690745688,43.008309624794926,38.35832361784124,42.812142214355866,43.87210168754723,40.52696120225749,40.42993331255242,46.13876585379434,44.235850412504604,39.73412188828606,43.08253159109747,47.1032239029824,44.57763869470138,41.02657154840417,36.28874190484026,39.58234524561161,35.13594318273915,34.76124410230447,30.07590855928585,30.450667903878593,26.023081058155423,25.973889015312363,28.950004441290318,32.2718276022885,33.781333749059,34.836072984084,31.614653276035938,34.936858947432185,30.86931173680877,29.01631067632216,32.74458476466834,33.531772118773986,33.09957997549456,28.463551465115025,27.891863673192002,27.675629953674395,24.631405887145622,22.250481544071373,24.934110051640555,24.98733422450688,25.74136628982437,26.57762861979964,27.33511229502957],[21.61988433650468,22.593338257374633,25.67057445651449,21.5295082899628,26.36288133126048,23.24043017663561,24.39929794282305,26.84763172866247,23.56641192422473,24.645428344195086,25.333711167511186,28.28193864334421,29.660216352370753,26.08582270655457,30.208345887694858,32.97904726774058,32.18841609222854,35.53172588736554,37.22718581544983,40.78037470163505,43.35478337886763,47.68091743898296,47.774428060562556,47.00259442742467,44.60230527732448,40.43069734029477,39.87011558618722,36.27175156845487,36.88521491396267,36.786472494903165,37.45986036020692,38.46821710279779,40.80403791501952,44.287834975753015,43.23421288171781,41.58632829214079,41.91859251051989,42.688934939099745,42.89310522242682,49.04065800109864,45.49226583928378,45.526377518044434,50.01826059329645,49.94713514240761,51.18675659718685,50.64123617956921,54.705212974455314,54.00093031751779,50.46179458144731,55.02651648650227,57.08377100384231,56.729077364905244,58.63133100933935,53.41991774444853,57.90840510625701,59.760743211672015,55.48135290153401,54.4796767320166,59.14060083436073,58.645563473470155,54.285792932380566,54.49525008292124,52.07229713427493,53.073037593568195,51.50215316391473,48.234232211690426,43.99183225900642,41.13784306816544,37.316254347646236,34.63891417485689,33.097788137118464,33.83261701242375,36.73962542343111,40.93767628435819,41.0241837639362,46.909831279402944,47.46035005707398,50.18017316060327,50.30313758061049,51.99519136869667,51.00671463575195,51.530453712496765,49.39534587627842,50.83909177155005,47.70430757213795,45.821070657741906,46.79048533089739,47.16983858779073,45.6098051047239,47.77459405707603,44.391610263067406,45.89888764611232,42.310447382494445,40.597690111403466,36.27235446057597,35.143311545916646,31.270167980369717,35.55912291954994,33.77197690228187,35.4246755035318,38.471929262591594,39.0543287694692,41.28507754845207,40.70507063370265,44.84623616437002,40.48928480131289,43.419959816099826,43.273253575037685,39.25989185453926,38.1845178416327,33.61043629378716,33.71366793114692,29.545841240639305,30.164969421194147,28.736061750150228,29.083359815489214,31.321165066779674,31.92945839680496,34.416578202479336,32.43065398495138,29.184825011410286,26.87062499524999,25.750828458007835,25.02093781406628,24.20846077641771,28.147530008140947,28.33800473808648,32.39822630721256,35.51794251052751,39.841438288828286,40.15771351064796,44.43163772612454,45.10192174283976,45.304794000642225,41.69622994964372,37.49112724123422,36.0370625569275,33.596225118056665,31.354285173057093,33.714916864408885,34.33546005147238,38.628116991165754,37.442265258220736,35.89448840792089,39.051356027468465,37.02273634781327,34.49530868312603,33.700601005650356,34.01112344540695,30.686671135768037,32.52395241784174,30.196960831718858,34.61238325716812,31.78101954040715,32.35747437374249,34.70126107863932,33.34162659174008,35.509790782307576,35.82342071796823,37.429639261410784,37.587616718574054,39.33193635441676,38.32254459598254,42.688008104161895,43.71737664726058,41.20198944446607,44.252410806463445,45.69170769760819,43.49901677418068,39.82353243129695,40.42835950149065,38.1091655872606,41.684255087509435,42.65972193798211,43.06052734085242,43.69627004860478,41.22774423836229,46.478452215842395,46.75397091230485,47.93889857658294,47.13461391738274,43.64365313067752,48.31814316997899,50.79139703952841,47.89698229746412,50.04423869656368,48.18644418864104,52.726186992041065,50.23013951789859,52.48582812472758,52.917436654131194,50.276131102671684,50.09534045698726,48.08031422011462,48.46766770351207,48.60896768245086,43.837356459384814,45.050023704878406,42.18362103886142,40.74246910786258,42.87144219762763,40.87306567423659,37.395591023300376,38.13824780910573,39.993325879139505,35.62102744937659,32.93145744845314,36.40747854041489,37.19365848991782,31.18462254991788,31.870935036534235,34.07033296243987,30.781029428949502,27.69641421632063,31.093080617235202,32.054758216815884,36.38597533881514,37.82668970041634,38.703215298263196,41.14207510078138,46.250925304972505,48.60267766460529,51.564914905872385,52.727925111099964,51.48980085790456,53.99238378789445,51.746927135433324,55.980329883956266,54.760867209785026,48.98087413030005,51.78906733603347,55.35057850034001,51.2871393392833,49.31152673768456,52.77569652720194,52.84378810550213,48.60109510103418,48.286748423227735,44.66062257056108,46.6543054872602,49.246578431584204,47.74119836971288,49.34447110752334,51.25618666888769,48.48572726111127,45.340487581591134,46.369191096549415,46.0225030865666,41.815393195059876,40.906147210831485,41.62525646113442,39.02145851003159,36.66536750982366,40.86067873701949,40.00137218951599,35.119383757656585,37.44283046773091,41.29039373926817,41.27785172293066,44.73738441781048,44.594472869067594,48.46104582683843,46.339361315952026,41.47889675226496,45.755729386209424,46.902082652561695,43.54645396497579,43.11606635282681,48.88378915738334,47.026307225244246,42.321930792817184,45.44753374906337,49.594342172610986,47.06241036263457,43.369639158614554,38.598218264888246,41.777187044746675,37.23871215037771,37.347517408748374,32.50993678596709,33.07976570052939,28.697809330320982,28.222324130239674,31.031505662862337,34.19652184601962,35.624362270176505,37.019033531811274,33.55042111820185,36.81317230465335,32.51576028663886,31.220680851046875,35.051411900687874,36.19520402399334,35.598958977628556,30.773374822909826,30.68201417088046,30.633860213969253,27.059743114799247,25.071264123173847,28.199408576221476,28.405203438154523,29.167059556917046,29.965109275166096,30.75134775508311],[22.142247132719106,23.11852287509613,25.868070032159753,21.907715557388876,26.14419164810266,22.094097790650622,22.724050254911273,24.549792191908196,20.78777993625436,21.76343297874532,21.889941467975778,24.692502454965783,26.52145662874548,22.882983257550634,26.58658334836429,29.512351812131246,29.206712626027663,32.42625033188917,34.46262390830311,38.02027981613966,40.709609678087176,45.10838624625363,45.376870736294165,44.932536193631734,42.491969987459726,38.21363134535674,37.61853823620082,33.84955518357853,34.008335881806566,33.66610926114581,33.805183942210085,34.90749691504437,36.92968745387516,40.44577664050924,39.68954964421119,38.300656914401486,38.748791390044595,39.9190923835913,40.47405582708184,46.705847448129575,43.45756527652073,43.12648238989756,47.58265517933925,47.86763591223542,49.3112140889265,49.1180461379592,53.1511965877742,52.115740075849395,48.830713407205465,53.568683393802466,55.258533111243196,54.80334015189363,56.45178061051581,51.1666708248287,55.350261972881576,57.2717627054819,53.051997352308746,51.68855121743871,56.302281055713436,56.08961004752727,51.5465229367301,51.4149627629522,48.77288177499215,49.95750241867248,48.63072802357479,45.25323227134253,41.007288848971704,37.9223368180814,34.2315442925548,31.22145284107294,29.885683472993794,30.51916302094102,33.18016858051291,37.59291129595009,37.463342849550415,43.222790047749164,44.02029314483082,46.50504869052693,46.85281306594078,48.793052015311986,47.846764035279826,48.729720593567905,46.518244185352984,48.33592212814368,45.37706592623757,43.12208655780906,43.933220648746925,43.9751634142818,42.37116986301708,44.12136565658031,40.694667198510054,41.99152585254738,38.32140639659589,36.53508834330673,32.326958390872775,30.948616222617495,27.21435642147994,31.61527498624519,29.999210888521933,31.708426997513474,34.95094995479081,35.94434320777344,38.23948956264264,38.10797650048926,42.60366477708092,38.558654797842564,41.734907662914516,41.987662981645705,38.176548355975896,36.60704805576058,32.236711845963264,32.03896554048337,27.61875996268706,28.44046319499016,26.507283846560274,27.28335636859064,29.155962840550973,30.23723840561624,32.21008674932335,29.771924506686762,26.75506653312773,24.412749676135075,24.07213624498454,23.317651542661373,22.51188885315733,26.978048382488726,27.357858451210795,31.300715040879755,34.525486233912964,38.546131719783645,39.50474721611482,43.63751125266583,44.3164685970614,44.015625059204694,40.768732714568955,36.424358558257566,35.66806988844617,32.919337133098644,30.650503984204892,32.58263287352478,33.47003229274381,37.492748838367135,35.79889710014153,34.233466468816,37.13453411726785,34.693970097860486,32.3931379819852,31.29599352779634,31.71457280665418,28.212200016628056,30.163107362288336,27.36752043273364,31.7261983852266,28.653066518806696,28.862093245425456,31.396646011749397,30.149224339110027,32.71464052387161,32.90599543922638,35.12060290817122,35.62979718140488,37.00028062249898,36.59115344123866,40.71179161984142,42.313408192904646,40.28566761334632,43.46949635705143,45.26921085215101,43.290869310418344,39.475013602258926,39.8273876850426,37.150545280552535,40.274998117017724,40.88349231340594,40.89333502825092,41.28181328201373,38.477308153552954,43.673083474075824,44.27260575688318,45.59744849678588,45.22993579621024,41.816669851573934,46.78774065035704,49.43080297840976,46.55914257118964,48.41154744244488,46.32890800955605,51.1273044981377,48.980414224432735,51.32477243541766,52.05413176042244,49.23773541860043,49.37619070857118,47.45809201294729,47.92738480349961,48.34190244429184,43.63639533730357,44.80769475406822,42.180713628230386,40.28658347871965,42.66907660770468,40.27514509082635,36.865209760944154,38.22335350477697,39.91637479390409,35.324688614306346,33.30689751019784,36.851246297117726,37.13969947251821,31.355896699212543,32.55544800123921,34.667329701125176,30.990423471917932,28.440137455796982,32.3059709942305,33.380132541390324,37.52482866009763,39.42613694168532,39.7961393749663,42.13474476119598,47.23413320443741,49.548695654476624,52.44855859099549,53.19779257462448,51.778427707433,54.008453898213816,51.4519787239813,55.833173533714415,54.99043963890315,49.12270252631851,51.65969372859451,55.5547361086952,51.74305041578285,49.50873070539149,52.83719038811677,53.44148282233942,49.294759928125096,48.49844058864286,44.88544943128525,46.22205622705107,48.812367984244666,47.280854923986176,48.483147241731366,50.32272440983591,47.22364856671463,44.431419151318195,45.59854296455451,44.81206389126002,40.61307017214497,40.210728062436615,40.746256857926745,37.97296573613937,36.06057272372372,40.445188453573444,39.386575782697754,34.604627798464186,37.438099010254156,41.30379054083097,41.46876264264053,44.71059579662559,44.343467521772254,48.41252258508671,46.66866828863258,41.77679277495877,45.918853151401265,47.48442615754414,44.291937820108224,43.66679805348811,49.56481236797558,48.173612793520384,43.42070922689987,46.291198423327614,50.70524670764906,48.5464245658167,44.84453200450322,40.10930233154195,43.726622343970476,39.357077887607176,39.354044424698365,34.349800716767,34.3282440870967,29.692768884667235,29.82709387526656,32.39655058354015,35.78136619252943,36.78592064965958,37.767089493102034,33.793178831622505,36.62462099258036,32.02443685725668,30.729386254772677,33.95432439840379,35.16267424620107,34.00255138322833,29.452185462169385,29.895329903819874,29.36974015914656,25.45901437418943,24.400948924217072,27.600003071440973,27.37726475118212,27.97518161883409,28.73510256113192,29.60783729184973],[26.25590112332454,27.40628321031035,30.45563750087688,26.331112120915215,30.86920869645666,27.34574519077734,28.072063580026807,30.106091141521965,26.332535927602446,27.014511232168374,27.06314704313474,30.02059237337032,31.652787055551123,27.714901019794908,31.28911646923941,34.34993453095462,33.842250502486756,36.73057065702299,38.25658822385227,42.10963346128252,44.44196349081656,48.94562149975084,48.88419543551277,48.30497309077959,46.17539750053844,41.87420106774043,41.698994045198035,38.154550254464226,38.564555561191575,38.54988569603354,38.304576736966716,39.883914105485765,41.76772239818957,45.055307630207324,44.448532394523,42.89905819157437,43.69334094460837,44.534763521494085,45.03087873700309,51.34080912314802,47.7519446228762,47.281731341457025,51.75807200262438,51.92335633506076,53.044961586741984,52.76972109348127,56.79080367920593,56.06251431691116,52.88679991289937,57.618529054068006,59.49914311289141,59.24303913235417,60.89877803448705,55.688312622244226,59.979092163037976,61.63185108723342,57.288743869872825,56.09903705986248,60.632642344872686,60.138682260417056,55.543522728626904,55.372421564995534,52.784498496410095,53.586029757429344,52.36198076245752,49.26240131479461,44.635560784571325,41.84186898848087,37.78536809228224,34.99966008026521,33.320834777616675,33.45713149454073,36.54660993972126,40.897197355400024,41.298572762864445,46.93108705466264,48.06106922824815,50.67248849194487,51.22084603071501,53.22576241247022,52.59890566729017,53.519192936194074,51.58719262242132,53.35814556077265,50.25022377890595,48.03826166350527,48.574582893783464,48.82609608232402,46.838023362605234,48.636893798223774,44.97724763359446,45.96064632690873,42.425412078231574,40.91274704598154,36.88228067643518,35.31070898945674,31.78046276483175,36.54325405652763,35.18802909350899,37.076227798324076,40.262403152798825,41.479048283063804,43.625741905605324,43.6287030188628,48.02760040890872,43.97769886984049,47.161635837656,47.25478219129015,43.39491866566122,42.00958959869403,37.55991770497206,37.31196150677024,32.94071359615255,33.459370665192,31.40154651701279,31.784750737913964,33.49737032168099,34.12369225475242,35.800956422014345,33.82304169041891,30.67003748102664,28.71251933332032,28.159490977337757,27.859874601733623,27.45568360850491,31.762751198207624,32.4240689652664,36.31693452086725,39.58388867255535,43.69607911143261,44.381476323049185,48.62826688584567,49.155448111271575,49.10805625523162,45.575724277449595,41.243410521360644,40.19530275779168,37.37190866852535,34.862746677592874,36.882704746275394,37.147312213192,41.14381352968697,39.70977150608848,38.46003730428606,41.50762703284201,39.339306715334985,37.08341611981602,36.32669672339707,36.96060082704224,33.61495683603036,35.70799595128898,32.97691312873582,37.33890203469006,34.1583219422315,34.34341114638355,36.93246966749195,35.630932030706056,38.26135820582738,38.272562296365564,40.509547964153825,40.71404942147175,41.94254677097041,41.197857558729375,45.415281124482,46.82452032257195,44.4647280696883,47.81063579981293,49.285281785029724,47.37534978500444,43.568561648639324,44.216544121246336,41.645259583970414,45.01790582256887,45.83334903536647,45.9678862191093,46.55164739468152,43.693146217155615,48.97771495924224,49.3989869586332,50.828192330167845,50.230552122710456,47.016186102189344,51.837550104614984,54.342826137618154,51.36254379904498,53.09707805628698,50.90427586042185,55.567653335610444,53.05354862712622,55.61575990094477,56.29818713742429,53.70699131407878,53.85406142781875,52.02099181618605,52.57651524140547,52.94347613976325,48.23139948414987,49.54558535347632,46.841790247538015,45.23492919582892,47.52861171041477,45.35011682084096,41.88961810675129,42.910145833516566,44.70195834065422,40.223634082846765,37.79975099702621,41.28801853567456,41.827750766356644,35.92079053308281,36.76567880166175,38.848563569828066,35.378858794769606,32.52101717866437,35.97293090614497,37.0644836505522,41.238041182568956,42.91169415791049,43.720400179836886,46.07407856073694,51.2192595094027,53.465127333977094,56.511486078040825,57.56730968647037,56.316226763016445,58.73345766572933,56.3730905804327,60.68125262055479,59.60258395818316,53.79202033226008,56.49284439106837,60.18038704485014,56.19432619826335,54.11425523571511,57.5019042518885,57.74604913588626,53.5261009056161,52.9880873232592,49.444945505942606,51.1644431921026,53.79352271636788,52.295618871319064,53.69019175057025,55.539237151035024,52.58152616749673,49.65473161521068,50.71792747959022,50.092373231318696,45.92493976197155,45.286395273268326,45.811057231324625,43.07886530098731,41.00580292334836,45.22729582466644,44.14902422064766,39.30425305336882,41.90310635930327,45.71808808225668,45.892893445246536,49.32065922211005,49.16545313592289,53.13160573676318,51.09719190125876,46.282386757157184,50.55072360916294,51.8202213940165,48.504537469926646,48.05377573671004,53.86044822402112,52.09630467764115,47.386329591492654,50.450220056137475,54.660508467299444,52.17750310804927,48.474670475814456,43.704362207244955,46.891481398825945,42.341394921482355,42.47302010207224,37.64094638164909,38.15941700424513,33.72220744447595,33.328636429677466,36.091666120301305,39.25717246942064,40.60568370311203,41.97174590617983,38.30695433897974,41.39669521909759,36.91197256559143,35.71616278468974,39.23929932008377,40.416633078880935,39.45102637410751,34.80977188733538,35.01772444442452,34.62156481238488,30.887829771664535,29.439559255668083,32.50004298949368,32.30467673852206,32.86810650909586,33.530721553766845,34.24653327268191],[22.584420219632374,24.214961060940915,27.861041394935327,24.3665763793277,29.498475523679524,25.859914101690045,27.333176337897527,29.342037123263186,26.109886823112777,27.668748287685585,28.032783676636782,30.55941164935217,32.62258613495658,29.225463905041856,33.026494805530064,35.872074054429994,35.55493487932351,38.90988462607285,40.89662539504417,44.426163539285035,47.10499981761135,51.46972821019749,51.671839049340406,51.05867827271028,48.62826672778429,44.40740160864682,43.77698277027828,40.04805996290139,40.34291393598364,39.92695388650428,40.299984740722316,41.147674308754034,43.17752228473824,46.84096419379825,46.06363030882067,44.733370674105736,44.970148559266896,46.18074716454252,46.582397903307665,52.72404435804969,49.42299749262376,49.35417118257767,53.82484379327702,53.929987365348225,55.301273579792166,54.87299614091184,58.9298179255863,58.07356902679344,54.575790317416306,59.17470334827883,61.08976414395547,60.626468358116135,62.45107252768386,57.18198811638371,61.49340295501566,63.486606150845894,59.27163748150721,58.028473503332805,62.685462400786335,62.4167241350407,57.96100521503828,57.9417699515779,55.33617513158758,56.50252331150405,55.11292245490282,51.747798597814416,47.51783549626103,44.48041666820189,40.757245807039006,37.80527626023279,36.416666792569096,36.96827679284492,39.73057565817774,44.13446481446479,44.05486896633782,49.80078549740861,50.59768638435809,53.06055600531012,53.370475157752225,55.25659418249889,54.16996337613881,54.910372209564535,52.53325421722948,54.19713594947605,51.24816802350027,49.181372173770576,50.218566845516186,50.25547223708639,48.837493918765944,50.59141037697018,47.23233755711014,48.52493633576834,44.81693629327112,42.93578680424791,38.735061175732596,37.28194854748557,33.58504464632107,37.77133984010611,35.944120724000356,37.12060695701949,40.771349061109085,41.25194004283126,43.93141515673588,43.29039187711246,47.71748253062354,43.344164150036065,46.095656197874305,46.16121514024828,42.07075710216467,40.85158633606844,36.37231192369411,36.837816643691966,32.64040143824419,33.687613180346794,32.30898402403017,32.98723383175533,35.18808352767648,36.062580959394424,38.39307425638258,36.13610544855974,33.02392518288396,30.627680876168423,29.833799250481487,28.919569322096986,27.8130521683095,31.8545846097966,31.50316973636438,35.754984209409905,38.71188267915964,43.04584469236435,43.45876587870463,47.60752515261574,48.57157537009325,48.617291749128995,45.2899946874281,41.12343199489121,39.70635990680152,37.491909164604195,35.44063363221557,37.78528600292274,38.65890845428745,42.932598237784624,41.588539022492625,39.943814864871406,42.986369826631744,40.70866527259782,38.23007525931716,37.109902967561595,37.21376436004807,33.613593090103045,35.07472244673819,32.329941435166205,36.36261051667277,32.900658464251265,33.80256181754055,36.58955110240092,35.68634646649442,37.94988296791468,38.614091964902684,40.394201692919694,41.024836902467825,42.82889854019465,42.17949585280555,46.44120560579827,47.65950977109688,45.32630550008592,48.25780785551833,49.834556077944015,47.53349491118299,43.902741435770785,44.353295341379116,42.034716493875386,45.45533030547311,46.24419974930138,46.47628111869048,46.823190408210095,44.29996650580584,49.39745153643274,50.028391089281925,51.1295933420521,50.65698012804029,46.922722235450784,51.76772795300232,54.38055458014518,51.601176196902685,53.85556756982568,52.03719302947431,56.69016549238354,54.396135028854715,56.55397803175624,56.993623306580375,54.22565896881194,53.96818661707866,51.833072076544454,52.06822281638867,52.07488903961726,47.25731209390859,48.19949319452375,45.140212656995985,43.53849705330482,45.33803124912971,43.148937376587014,39.90098886811072,40.5502629133904,42.00719869422024,37.60200052631835,35.245275574443944,38.31191172258658,38.63508040687546,32.8198223314999,33.44948000249287,35.20432283962594,31.779211000001077,28.95987297276745,32.10133556863113,33.499108610613774,37.29371144697639,39.45466985327919,40.33985068525181,42.41288846962849,47.664645431485425,49.614312052838336,52.94302506197734,54.11394539802926,53.151793852285024,55.73985974469854,53.682385784670565,58.05522325790348,56.76084342590821,51.17269668816425,54.13467219144442,57.76352361431941,53.74026175306268,51.93576936747622,55.55334368197356,55.61511832018198,51.381021190558904,51.36946464438948,47.442711504126436,49.435618032322196,51.8076913495172,49.939546760908456,51.460310276556214,53.00270008268911,50.381381575601345,47.42843014708428,47.97925905107299,47.48506873853975,43.548545132007625,42.52669106432551,42.7782661175079,40.078657001626546,37.9149816817761,41.82626489254953,40.61097054518661,35.74480613810375,38.18245553444007,41.885715149555764,42.23027693753577,45.83798444775714,46.04531806659399,49.95671735135936,47.60111580606856,43.07134216661685,47.58190218555796,48.60768959452958,45.2588293850006,45.266533684021304,50.94815243052321,48.966256506792206,44.522573908687754,47.92519701263137,51.88889357853904,49.27708786023876,45.74742590768608,41.01036237789255,44.144625775628214,39.635977534776366,39.26971504228873,34.69699429891419,35.223496049112185,30.84497246620739,30.69324766435203,33.71682587093393,36.965089774232744,38.555324106769916,39.694631247978556,36.463247566860865,39.75018379790772,35.59263706619792,33.79615788974188,37.367456469917954,38.124667326273986,37.47548608839348,32.982918921244696,32.525219084006665,32.037017465334294,28.976195065351988,26.89563066705789,29.41346183220976,29.10410710939494,29.665402240677412,30.35317535200036,30.98244501513176],[23.37462632523003,24.729065716113663,28.276623348658028,24.44031342169981,29.672114318435696,26.76963151439434,28.289436264722102,30.753047094633008,27.65322388910689,28.947392416401147,29.62222366388015,32.4406287560238,33.99020513148079,30.45682076899034,34.52656533950236,37.3219160449862,36.56992519359715,39.89016376657168,41.503656301302,45.1079906841821,47.612074692149214,51.953666686987994,51.960366029042284,51.11497781432067,48.78956177800182,44.63443985846618,44.14668041355033,40.59788924587843,41.26217833550941,41.155623762931285,41.77294445122253,42.77251347719045,45.032037926098305,48.55357786835737,47.57004569956137,45.957735649848026,46.276177135629574,47.05846928792506,47.222629035687966,53.34840790266558,49.74085633647596,49.828322275981975,54.32373104467732,54.18069915795744,55.33447781309472,54.692374635773895,58.75534459347787,58.17544769715322,54.58621982585261,59.09183581368883,61.26351580873848,60.93766369809605,62.89901398914808,57.70870016867708,62.24384931378253,64.08099022250813,59.78635830275625,58.837962121625175,63.49563462627896,62.94514008797077,58.59644106373148,58.80838628150931,56.38506293473623,57.31638173742894,55.76981159039061,52.555770795524985,48.23371594064103,45.4333979111344,41.533572079463326,38.876757771782124,37.26872186643177,37.83153419938919,40.84608321239476,45.065371844265506,45.26103805072561,51.09683577852026,51.76226066448365,54.46557619838599,54.648783456199624,56.3655106111658,55.38141188543137,55.89123020546923,53.720018916342624,55.126273649767874,51.990093425323565,50.16197907299088,51.16431363979154,51.53631425917532,49.979830524420606,52.094508325496186,48.6825311289513,50.08518779031978,46.48756902979558,44.77020151615164,40.49769533786639,39.23861592478129,35.44139538691653,39.73415936061816,37.921381088944344,39.35150411215799,42.63858143377218,43.07232965152651,45.48331310743723,44.736793243276445,48.87251935704249,44.39034118779939,47.12624533597814,46.89840934846798,42.76442237568567,41.85168248337872,37.2487418438619,37.6467270617039,33.57895305162515,34.28224167089875,33.031354800669604,33.31616333874988,35.62033900637669,36.09549603562116,38.61120364921739,36.74944972000046,33.46882725035431,31.21042092805776,29.95783927275333,29.24515363189321,28.369910755488945,32.11978902650271,32.013304903993955,36.18518615331595,39.171385146836506,43.623596046814285,43.67069966817022,47.945307520326075,48.733374899626234,49.11395420438604,45.45653922343787,41.345647921691956,39.57338125644673,37.37441220831398,35.203672547107246,37.72683360354517,38.23255886515048,42.595119893290324,41.58464325757681,40.068980874426686,43.28636926050755,41.34333624261735,38.773937498623496,37.99289702938773,38.20453457620148,34.83686426883621,36.46620430830577,34.099365222207105,38.333357119431206,35.23515360461035,36.09960407235072,38.6236904915201,37.449716827577646,39.5451089816025,40.0457682420284,41.528876994873436,41.73834133887267,43.61814634261766,42.50131280188917,46.91790455054248,47.779906237154805,45.098894809810574,48.058730140517234,49.34150870493093,47.02493805111411,43.45116852798585,44.14279060692493,42.00165107212837,45.71571846412578,46.779543768742386,47.2681710650901,47.887986007311234,45.50426008249175,50.713565900337684,51.014536214054225,52.124891240650015,51.27559222679585,47.67555908527141,52.28124716995333,54.72422592669064,51.86311122139488,54.154532192425464,52.384597384677356,56.8447927685762,54.234138349765935,56.447748961813,56.74863892429182,54.17064244222418,53.81862436575041,51.72368463672841,52.01305617057369,51.953778069681455,47.14538798472654,48.2564166286864,45.17770829247575,43.91399064421831,45.72614614686367,43.850015749624994,40.47448193813947,40.82507722524518,42.54397305764796,38.2994856920338,35.43113314423089,38.612168466363364,39.41534619354911,33.43337714466524,33.7735124138816,35.740080824169674,32.627059378360144,29.41503171197595,32.31574917993128,33.459294360174844,37.54967899470052,39.107815803798715,40.32743644217495,42.59736870191238,47.77309771008194,49.88990266356078,53.10629056224967,54.53497201747216,53.57648876188209,56.282724981516616,54.33122095339045,58.54632237811646,57.06612709825425,51.46407745565804,54.50457317063739,57.89559308262517,53.713933659467955,51.99219640026201,55.60148639225563,55.340407273050204,51.060274665851324,51.18940745846912,47.42553561633588,49.7824365274241,52.25539231463294,50.57632071663349,52.345081160292274,54.08320516878689,51.57110726153756,48.36228787097435,49.045713202496486,48.84158505800254,44.79805466098882,43.56788835713319,44.10480301671818,41.54091619119628,39.079774968828076,42.97937531881737,42.01223356366161,37.10951737949832,39.205480774130656,42.93104341637976,43.03721530855912,46.70073707928911,46.89813362741781,50.66036915754411,48.18204956385736,43.560363241760605,48.03374256201294,48.85062128795693,45.412123998585166,45.355557822322474,50.9671575997666,48.74610424705043,44.24416287881975,47.66912160067896,51.524281189400895,48.70583601764081,45.12792609748715,40.38123212804748,43.19973140242019,38.585014384151044,38.51157807043591,33.98926555555663,34.93768907202767,30.766580928788287,30.07160073950855,33.125801224324164,36.15140510355085,37.93590727950995,39.45502898399654,36.43507342352622,39.92945264301974,35.88587160616392,34.35155126391442,38.32724668156427,39.224656097375906,38.869254510779875,34.1197372205848,33.56971505677578,33.50385841335579,30.392399564723554,27.935835542858648,30.643547864420782,30.74900714708605,31.45005472784539,32.17092762613069,32.79288110617313],[18.48872225402584,20.247005648795675,24.337897795539295,21.309158013504486,27.046580393826538,24.247640429310234,26.563120513122733,29.03477924861297,26.705252465650958,28.840860339227106,29.937927105157307,32.29424717613484,34.099991890853296,31.244321292699198,35.53875106381246,38.00738886959175,37.37877500339627,41.1719898126792,43.247087678869484,46.42371236725218,49.29408961088863,53.4158287580368,53.7320952065527,52.842058179686866,50.18082988194218,46.1743327963245,45.1577849791471,41.46410995698709,42.0376430654009,41.53610885892797,42.93844614185429,43.116383276507385,45.6039665334116,49.465948898768346,48.21377885835699,46.79735398289764,46.47934216716366,47.58404516583912,47.59801496288576,53.45187099941326,50.19313421049146,50.767853268828254,55.21244205902926,54.978900905148485,56.414556592696066,55.59633946413799,59.6675072344307,58.93790372157053,54.99804185435375,59.30085548188256,61.499897507134,60.94029319801938,63.098583450645364,57.88820561536704,62.44041786444795,64.64843343275423,60.5306118968415,59.566758138101406,64.33979020723069,64.02480307725467,59.89020178872628,60.32717378406343,57.94050345963227,59.269715858185975,57.50084584659916,54.01122802489737,50.20665402346322,47.18177259337788,43.703803683890335,40.94381749694702,39.66433239309426,40.74252013220415,43.36674441396892,47.55885653899394,47.22119439686175,53.171607508609206,53.37029653799949,55.9394868005697,55.7864357224846,57.29819051288911,55.798376033348255,56.03818826407483,53.41797093293916,54.62943418527982,51.67808521549274,50.081972388880125,51.650532859009154,51.84458562608066,50.94608900544251,53.09184423574663,50.06416892967318,51.879327908283294,48.14805533641758,46.07111621480828,41.624474343262946,40.6205476905029,36.648801019034764,40.23073562974424,37.919598079947,38.643970894605964,42.21299108274534,41.79333646234547,44.66090022930685,43.17155610710906,47.19373610614418,42.3971437890041,44.616158568248046,44.303578567503735,39.96971665451122,39.312580460216175,34.738146638162355,35.90757062211552,32.162452514321664,33.383292704374306,32.95632076020205,33.52596014514178,36.34009433772219,37.07501531845712,40.312719422733764,38.18644139248168,35.00873384145658,32.31638279770872,30.80038840165005,29.42217248821398,27.80761520028166,31.09341937693696,29.868739138272872,34.323746774035364,36.90284880415201,41.53971146298211,41.247976557870714,45.365945647559265,46.61416253450242,47.120544296813655,43.71396573103318,39.86057176695713,37.693142441057454,36.22929752225722,34.63596711079537,37.470524042146984,38.68505120145127,43.28546728007325,42.386502707543976,40.43912909535278,43.602542423329844,41.59748947117984,38.809947446512226,37.67980638548481,37.30627661517646,33.78995872205447,34.72063599898926,32.53808950629966,36.39364519110952,33.270769095785006,34.860288359674136,37.40013439459473,36.577818493442166,38.15473794270769,39.322181385012115,40.18243427138657,40.784731627588144,43.300386649884004,42.2571056056617,46.668639318705274,47.275656433078105,44.66287097513974,47.1036832413397,48.50170209812398,45.771093540207026,42.4481086934687,42.89196015959165,41.073128214367344,44.7928251504042,45.83515601237129,46.463394980725425,46.85776735477444,44.92230098077722,49.8770669218534,50.33486154291136,51.059881570773456,50.300294810022045,46.17855368400577,50.72079707599991,53.24249878085648,50.63330987298374,53.494025876497986,52.17904370879644,56.56746835377932,54.23989585744033,55.95883510125135,55.97994695192193,53.22347890950719,52.41568884803212,50.005372878072436,49.93481149132526,49.48043602328557,44.61077900959323,45.30523303191077,41.87799621808717,40.659340470838586,41.9281618555796,40.106154113205825,36.978469286933894,36.893659158743084,38.279837645809415,34.18925652441556,31.36052327899288,34.074895954206426,34.73329313157952,28.883326136772876,28.953551618404106,30.61542239115951,27.650307910814405,24.42938896155725,26.96976693449459,28.37345201169745,32.111947023702704,34.09012285940004,35.36217628208955,37.370986559394616,42.614378885383736,44.48716478695427,47.9208288044046,49.45895606028315,48.76439045895619,51.63088882073006,49.994177221081976,54.22797993867291,52.53098166345785,47.175348668989585,50.462570654630404,53.760010741859915,49.56252350589638,48.1310851838763,51.95131833918604,51.51138423712327,47.24447824235025,47.91725743177261,43.78089060406346,46.424193577054965,48.61689949662308,46.59692189748046,48.52320654801628,49.985348021543366,47.859421575279846,44.59036959553813,44.78449648751283,44.79709616311999,40.99454530873622,39.3321407252117,39.68377611027385,37.230080954314616,34.60554917088914,38.16610085426559,37.17297142065093,32.29035174845532,34.09717718536549,37.704713094001825,37.893917590701484,41.70696462630009,42.23586027531415,45.89249813359549,43.11489847042653,38.771649744816614,43.4410695841498,44.00267299483436,40.54682187961842,40.931023165819894,46.38332380196822,43.972786414698554,39.753643149969925,43.490795696261905,47.08539123865439,44.18049494567412,40.79655006244158,36.12024460197248,38.92226091144429,34.4072149890308,33.78870514999006,29.54759133030037,30.45847618571838,26.40995529574455,26.000860093958735,29.28239148826697,32.37810180982267,34.3730602033497,35.60817035994334,33.103469451232364,36.76769892322415,33.16799309922182,31.03609643070872,35.06899071256468,35.54151125021255,35.619538943735364,31.04168475759834,29.76373347364293,29.748672196240516,27.420313804881133,24.21989602818923,26.3445201860399,26.515419830525744,27.291270315176394,28.063867531499824,28.622493406359336],[18.445779902599995,19.15216147510092,22.379259064708215,18.27198326475397,23.661820783411475,21.763437289846852,23.643768271480354,26.75833024020078,24.370510423404237,25.80429757664626,27.309070281121144,30.212475225197867,31.081738184047992,27.983973556501827,32.63161510373126,35.00510422071192,33.72895522811061,37.43262230798552,39.03292402214701,42.261426824946284,44.92259318831472,48.98963381793489,49.10529416158525,47.98028991922279,45.418048056472685,41.49886817386545,40.641723479343064,37.180748538316536,38.221320692851634,38.19535216475859,39.91534269550766,40.38527222554083,43.225970344452044,46.79773697594851,45.2247314472618,43.373032909727904,43.244300164315234,43.70416467084804,43.44111910994136,49.299435695017266,45.653167862461906,46.34860267822021,50.81012517735919,50.316449497259846,51.51547817164128,50.521467528950595,54.591312387983464,54.12382528777295,50.15082591872465,54.39865876172798,56.82579814989576,56.449343868026276,58.709244117824404,53.599077018726945,58.40019346117335,60.364777844654775,56.145854130177135,55.53732302318768,60.28864003317969,59.62359160479728,55.619672063264694,56.34788213633458,54.215748641907176,55.260387599773594,53.27862710663236,49.9764694690902,46.11296457238627,43.39105194159947,39.75712160594541,37.40854851383958,35.89987452711772,37.132954950929076,39.97364397917413,43.861502862805644,43.819427557637304,49.893626297398775,49.83246282953308,52.74386316762317,52.387981296919676,53.654654168590135,52.3494362818396,52.312806263498025,50.07676675517963,50.98669128511182,47.76208149568616,46.42238492982534,47.84497782818683,48.528322998865136,47.375455915006576,50.053487545144705,46.96452787939711,48.98851205552151,45.45082307107108,43.645859691079494,39.09819615621475,38.47054624590076,34.34357434971852,38.10057783709723,35.90966558762609,37.2983064568674,40.05337375672863,39.84091014498955,42.06350617471638,40.70864084993343,44.322862918383734,39.563193581740364,42.04771314974743,41.41353905910151,37.18606164900884,36.758820353518196,32.03874644311653,32.67527713544593,28.992534831125244,29.557965101391364,29.073772954822207,29.115351412299308,31.965029862625176,32.25011776761962,35.67036391072455,33.998988602258436,30.653653154202555,28.14564784929356,26.12433588951877,25.050302897585635,23.891400273808483,26.950276075807377,26.53484553688556,30.70722602760409,33.52900440335177,38.16858740108602,37.687994174489894,42.016851612008004,42.810158845075705,43.585932586461794,39.7213842213025,35.8139330222565,33.518092915586344,31.729915429678574,29.83614827184896,32.73483313094743,33.49635434468909,38.12560544255578,37.511448586874394,35.74674051917011,39.08600331893808,37.480409391576195,34.63843293831295,34.01543803186264,33.95916826369783,30.86285985578963,32.33963460534922,30.73483024077836,35.10249505066001,32.80044800067904,33.904380370687406,35.86703172101674,34.427384468861554,35.89948880506947,36.54535419217076,37.18156722768376,37.073339841829586,39.47928056356526,37.8797240689863,42.44536440897613,42.74962535712755,39.81412560414874,42.44450774891141,43.58529425119655,41.00928659176227,37.6211762035522,38.34434571318384,36.55379187778443,40.5438942082133,41.88585675837653,42.76894165804261,43.5947983172622,41.72080775715272,46.88977997138368,46.83384782900529,47.69678843937618,46.44258525962767,42.702535043533985,46.98012377481318,49.28126890287998,46.48859683420938,49.1763713667177,47.78850815680069,51.993610599942194,49.317979753491606,51.21014799315507,51.210346708676376,48.67176963599455,47.973726964728904,45.7472438617443,45.912661857682124,45.646300712924216,40.83078406573434,41.955144716376275,38.795408478432726,37.86147650557006,39.61661466756183,38.10404966414912,34.62307999961418,34.63128283163004,36.6392051806425,32.608924954459525,29.205468686681208,32.5531912885263,33.946598751803684,27.794233582246875,27.906247498906094,30.253902263716007,27.52285426312519,23.870514405194847,26.75181666285191,27.458749989389272,32.04008159068589,32.85066336193167,34.18275649251085,36.7596725122763,41.78638881003086,44.25775859832088,47.15546324713028,48.71513843200507,47.62887353914962,50.38748458601457,48.48989044813047,52.51216967512894,50.901193142689245,45.261023559867326,48.3403156771737,51.515634344938924,47.22844189337629,45.557634875170564,49.162971733243104,48.676682131111434,44.373490590768604,44.632069437624956,40.95151406408157,43.657695231485704,46.18757361728389,44.70904852499483,46.7716450696533,48.7720763768582,46.431058753109625,42.879135222572124,43.76754985015163,43.990529538109314,39.80364875529082,38.30133260638448,39.32603006280961,37.00884360508733,34.11634203882974,38.07753160475584,37.588024959197966,32.69900514813405,34.33594881286401,38.13814340652402,37.809540046370174,41.41056275025907,41.43920831332172,45.02037298651744,42.56593118445953,37.73775178776589,42.069027038731846,42.77809136356627,39.29448644435867,39.03265490306174,44.61128757938725,42.331060684426006,37.70761629293935,41.05835557046502,44.90942363597977,42.06560274045348,38.41695004755886,33.660541561055076,36.46140412849954,31.836396291111086,32.00859758635245,27.352555190025946,28.448534547924456,24.417811800581607,23.360649557982267,26.365171953457114,29.302876589673417,31.130770168235593,32.84995116262648,30.029053976341004,33.7199538588498,29.92434227084079,28.561961026961065,33.025196142769865,34.06695282241327,34.22148809621666,29.16401389072155,28.413809708375666,29.043246187754903,25.9784518489844,22.89775419213159,25.92219846430872,26.82166207154688,27.858422009048013,28.771148877787642,29.52610269164179],[19.222665756349336,20.40787723706927,24.24119411670378,20.95868691383511,26.791008999821837,25.40263100583332,27.906784983376866,31.029665474838744,29.154169667174738,31.03251233731172,32.66922375339125,35.303760496026115,36.36785968481488,33.544855409670106,38.219910397717314,40.49265814027153,39.25373711248182,43.08345800777613,44.71801631631497,47.8336553263154,50.528945832602545,54.504555480791915,54.62373791586076,53.36748384566901,50.77700328192123,46.965778608017715,46.00281273877625,42.587254788266975,43.69142451914295,43.554676733704056,45.537891951707884,45.71544318370516,48.594116045046086,52.305359332291694,50.66759143784345,48.886622377500736,48.511560962408915,49.03464219729306,48.631536008111304,54.31614679883305,50.7162583084961,51.69086769551422,56.118664570323034,55.46563453547502,56.64363460450932,55.43624885022892,59.48546786983756,59.14554530619475,54.97501878941266,59.02219208101095,61.62614144974717,61.21080818388402,63.63961892407464,58.5829364056817,63.469091309805144,65.53615567112332,61.374404806526314,60.87819733661289,65.66084122234862,64.98009120257196,61.11146632439775,61.978722819026444,59.89872868074673,60.98898785719843,58.9167452823935,55.59361632422291,51.84896381063365,49.13473696318981,45.562446823221606,43.23426005692846,41.752302650912156,43.00369243914453,45.841410366035404,49.71737668326946,49.62158291120691,55.70426390899771,55.551570646008486,58.432385206843215,57.98015282451668,59.154530367009784,57.66666787574106,57.46014633354744,55.05352259832723,55.78491032669436,52.61668823979961,51.48487436736537,53.15660849126823,53.820706566472865,52.91139578705039,55.60766479815007,52.634752933264174,54.73163454600807,51.14956121404133,49.22910553770393,44.659798352234056,44.02107185582407,39.891611367258996,43.413549374970366,41.026472201134034,41.968752569167144,44.99566055834531,44.296499142771005,46.81665134520817,44.98274975119405,48.44668770764348,43.45095996372371,45.473838832815474,44.649012807129395,40.25269092379715,40.19485444340805,35.509212996273966,36.75155068364088,33.39184672501216,34.177810062176675,34.20804344566061,34.24069500536487,37.31974345470164,37.51061232365789,41.22311181419935,39.63764686258201,36.297312613609265,33.72933048093742,31.473120870294096,30.225959075049115,28.795802855949784,31.372403419256695,30.24919234470327,34.53943472864247,36.9930603294847,41.80192647321482,40.7957194252726,45.024326309712684,46.097183177981044,47.197910841451026,43.358828325105115,39.73724395387162,36.88131256694153,35.71684965782248,34.15676444969001,37.33162356516509,38.18263704234048,42.93631472032482,42.615937000312414,40.75364637721937,44.128985256750106,42.65744895669382,39.70222055686546,39.01903688503465,38.654902449250095,35.53632909974469,36.53871248363524,35.05019369461888,39.06993538491061,36.582374899926656,38.22724557979516,40.316852820088386,39.16454156544868,40.323801167391245,41.38239795844757,41.58974639910126,41.614697650949125,44.40475923481323,42.65499608123237,47.25513125948886,47.20056429212286,44.0777448148614,46.35764671296544,47.29602001632986,44.42601189845956,41.3256936823785,42.079201567966294,40.688073873323965,44.83845748231909,46.30821482723963,47.38595921599239,48.15055975972584,46.58773794555721,51.59766932739857,51.56563527677297,52.18489207324343,50.84899086627998,46.8368392638915,50.915732100134825,53.15702993059222,50.51752067280523,53.59224402761712,52.51349185379923,56.529545926673926,53.8047477258403,55.431047016877024,55.13243442694048,52.65031773281231,51.54642308960245,49.12354520028913,49.029845265610035,48.34467032488041,43.52464306532276,44.37533282135534,40.85424722214148,40.25689882198937,41.38098548241196,40.151221018297065,36.91994710085075,36.1907941264196,37.938185650772176,34.25494863850219,30.576428812655525,33.31979779033766,34.810987559695185,28.837502157678294,28.303433279633808,30.25813929579979,28.000621704715574,24.15175785876075,26.06407377073332,26.988529941778157,31.136924522310323,32.019461492306185,33.906540111236296,36.196628043137586,41.239182644587544,43.36120847358677,46.587175750008406,48.587588750738874,47.95611857708414,51.038192611881264,49.67379576813489,53.59342332109319,51.53552024381712,46.26796376733363,49.71943670313156,52.54841838918778,48.10712410094449,46.91004098794102,50.740417069655884,49.69454610735773,45.38219408394869,46.45331302198895,42.536552786257,45.86441548918267,48.1316201823724,46.377682808634034,48.750623637676526,50.47492662027735,48.65044581027089,44.965221524533796,45.2800343127289,45.848060853740584,41.97025215388242,39.87795269843647,40.6955445693341,38.55309877805553,35.42494752977176,38.82718979753248,38.304142298441974,33.481333784510205,34.5652869473044,38.1180653126086,37.87374950051874,41.745961976270316,42.30877491663186,45.625237309067714,42.60801545896793,38.21770645138051,42.79195545940944,42.91607625713638,39.33815429826814,39.703916223046306,44.93009869578766,42.069031944306495,37.859920380967765,41.678119145929685,44.976826603098914,41.70778944530162,38.31766644352404,33.69254814966945,35.88679756462444,31.2396790836341,31.02322553654348,27.011586692858295,28.702125025408368,25.189073763106506,23.826467455583465,27.16481160380999,29.80778684851667,32.200724130320594,34.022405902707476,32.103790073230876,36.11477739276435,32.92007238873753,31.131634446416797,35.7861755868327,36.390598270945034,37.07133253571041,32.20496857761171,30.63993397928367,31.37244673743492,29.1921899969171,25.314034097348085,27.57104315475766,28.486713903671042,29.49222976000474,30.311121247515736,30.817847933921133],[19.521339133791802,21.06634495972375,25.237806330663904,22.64171000831373,28.63062398195395,27.3272103157614,30.18541594077326,33.1842965796694,31.62465139930125,33.850036238760914,35.52140686341541,37.90756795689217,39.20253698944161,36.61587947979972,41.2631512503005,43.46063428821328,42.35484461100637,46.30199737651291,48.09202926135306,51.09106651740497,53.885916230552375,57.799746173921854,58.00337741445746,56.738124130893276,54.071371741645464,50.31092826682544,49.204551602807854,45.750916345633776,46.783855973823286,46.47529285142851,48.6133135560792,48.52070581109415,51.38573665698224,55.234271939201825,53.58457356940352,51.92998709002922,51.342382190610756,52.03860457481201,51.60959629533733,57.17605684744717,53.721725961900724,54.84729123534964,59.244996182245366,58.567979432735555,59.823692219148924,58.547559032044745,62.58318489751684,62.2171690720521,57.93516102074412,61.879211990146146,64.50336864617995,64.00653811454514,66.50540938084882,61.457241254731926,66.3254597410541,68.52798103987813,64.43892308428899,63.920955436023185,68.72979736319982,68.14150588855654,64.33778070595122,65.24078372942895,63.1450791190154,64.36064384072613,62.25839524852554,58.8566774771397,55.24783066470238,52.454421448232075,48.99654523905552,46.596140754267715,45.2102163636827,46.519162212794654,49.26039058943101,53.17460356210253,52.93126397954264,59.00885074774966,58.7932539738685,61.5845447729896,61.078108769489106,62.225319236546994,60.56185063862433,60.29621988703192,57.70068407928936,58.38359740525017,55.31806623678682,54.25804905609782,56.12656006300108,56.67652341893627,55.99772213149774,58.61736401172156,55.75885546618278,57.90965201503348,54.266367188183125,52.213163360873246,47.635782816016274,46.977430354570224,42.85675842178151,46.15546180578721,43.618448882723186,44.1976221471619,47.46525978587497,46.43203036326842,49.213941660400266,47.078757879272494,50.513629398412206,45.40264120290472,47.11569793639457,46.26165277243353,41.7853905623516,41.872093583210486,37.26831719996672,38.92064936057289,35.7418078105968,36.776114357541175,37.10747732205998,37.26437542215385,40.474649153738916,40.750249183779516,44.62584003858865,42.95449999381223,39.66587441669316,36.99227130243091,34.7169450690447,33.27603222307031,31.592081964597778,33.958830798628426,32.308630729352224,36.683183819426745,38.88005457801977,43.7417904002178,42.52669077643667,46.626533734469135,47.94909945456983,49.13846266306566,45.44855802807626,42.00243066877014,38.930449346669114,38.16437507813832,36.87013379389325,40.15208716678258,41.219767814623104,46.0268392689712,45.77058712683756,43.78316100200201,47.12053776265863,45.622803271711085,42.61593346405466,41.78116408223744,41.17494713602396,37.98292004076026,38.62469998191702,37.13737199954264,40.865914226058,38.21725700776235,40.22275995184364,42.42427080405124,41.522956956282464,42.498896870540996,43.877015083764995,43.86914341466746,44.11406823526001,47.141381372349116,45.45003611251176,50.018047358471144,49.849286501720954,46.74294709644757,48.77253058002454,49.701000671589874,46.64633690279956,43.7184543168546,44.38724947066181,43.18993406938166,47.32869800808889,48.78341682771057,49.90604173599766,50.54096147044788,49.15653664043348,54.01740431895291,54.10032452615107,54.54593924883731,53.28026904344427,49.040828016413236,53.0619559490792,55.32221837992968,52.82116273694442,56.14559538520516,55.26601926400404,59.22348681337156,56.59733728931318,58.0120150990375,57.56495534934446,55.043612430673164,53.703553344875,51.13590809806322,50.84648860012807,49.910689385841145,45.100802367901146,45.69838166351516,41.96283069570321,41.46051993717612,42.156269123586235,41.01008991156383,38.00712505282021,36.907541319890434,38.3726819473477,34.89312991137895,31.255133568274733,33.52569615271049,34.898550276907976,29.16614162505794,28.313034662424272,29.899270320891553,27.88941846541444,24.10637349248841,25.410328633419933,26.571988412451816,30.2475625115268,31.42079662480973,33.52571947410729,35.519226676088834,40.56565674399389,42.37145131885073,45.845852367120536,48.04102807562655,47.71929836057531,50.96319038870539,49.92619236324619,53.81768832651114,51.53489758577565,46.54688748195947,50.20362357847572,52.878922604074155,48.415757371233475,47.509800530277644,51.4778964183422,50.192163438089715,45.91558677910446,47.4659485220887,43.34395031677419,46.927539396028024,48.97263393421046,46.97438054835873,49.46096005541388,50.930085912403634,49.4263424028443,45.74781230991285,45.63656033934964,46.34713183996434,42.725913896832544,40.31663719945505,40.90845356194963,38.862243142567365,35.68461952119407,38.68955110166353,38.08138351604326,33.35775847983666,34.15399682146612,37.500593759025605,37.3882555785174,41.397782897181685,42.319337537950574,45.4884436886282,42.150692858563076,38.11871118221919,42.83937809204147,42.645612527586565,39.06225887348676,39.874918972536946,44.85856711074751,41.71914250837811,37.84793118468549,41.94423922992859,44.89660806821738,41.45054907904349,38.28454885155291,33.79698440622011,35.70756813454083,31.15627196705049,30.523208179303197,26.992054000529137,28.859938758936817,25.65690441914705,24.366032705142146,27.848737762067014,30.366370935890824,33.010379006932546,34.71026966042343,33.30955166869714,37.41604607119941,34.58626255082318,32.44486652345648,37.056442870062796,37.329561606823354,38.26996182980656,33.631495142550946,31.58246977639583,32.26410686618679,30.686371943802232,26.44792474944391,28.13096013531088,28.949269262077074,29.892606988982042,30.641224195609006,30.99052973980122],[16.141468655339104,17.919254148281794,22.28524104725777,19.98486625761527,26.033968141151316,24.248690823857242,27.239263001990178,30.01905936677469,28.586275043588966,31.11272966132732,32.76397123742642,34.910090704343844,36.45445804820251,34.1205001638749,38.695866631595266,40.81043915808655,39.939566570780755,44.02036210107696,46.13533996201296,48.97116074475811,51.965430397564994,55.833081059028586,56.24504076496051,55.12699922142546,52.29951368401411,48.531132619353386,47.20003238862902,43.60029636196804,44.39862685809268,43.83352335875444,46.06581723508007,45.688086054866886,48.51676990625293,52.49698230421862,50.863686800966846,49.39456646812218,48.60887721169801,49.60683641644615,49.28418127396131,54.80146974718049,51.62458051017093,52.75724688252144,57.126175274825464,56.596690186380044,58.07335399955016,56.91903097376794,60.95770160620381,60.34775847794117,56.0566058510296,60.040020357208576,62.474489039824164,61.834081761849696,64.27461132669498,59.16600317645829,63.89225926965086,66.2749979751894,62.277660493818466,61.569635001748,66.40273468679042,66.04967023844219,62.230356656052585,63.05547536407388,60.873525696173466,62.328938696250255,60.254856123604505,56.693230843611076,53.28579228427211,50.3044552609384,47.071520012239404,44.501095195154484,43.32810193306718,44.800553493333425,47.28364007733059,51.26384192722011,50.721306861929385,56.78106455955102,56.48407095096811,59.11767163062505,58.577361871171114,59.755772951683035,57.91323796332546,57.7134240541413,54.90816658595751,55.7000002659763,52.78421959528055,51.62878080970115,53.64338334469082,53.97175854888389,53.52813035100726,55.97950167818986,53.25976776056615,55.48435993386487,51.76964203916974,49.557454281113124,44.97276664700556,44.337031044549065,40.21705545682834,43.254648934100636,40.59322699457612,40.92537250630101,44.35539709604301,43.15981564148776,46.14073523502222,43.91668305760261,47.48968914065776,42.38607375353307,44.04879499501685,43.372846055193364,38.886276393069444,38.801226651255156,34.2574756469886,36.07170678636208,32.8697410806818,34.20845353212304,34.64102609209572,35.100087156176855,38.36395728100193,38.96108460894558,42.895661625651904,40.91872001321252,37.758794778860235,34.897281519071214,32.83067344461246,31.106905419304397,29.116921694356392,31.57735848400229,29.562835286370984,34.05550565321487,36.186814396028716,41.00953900811482,40.02631685567108,44.03438135124851,45.544787464318276,46.49430484232121,43.07235856902994,39.60426512414753,36.75237610777679,36.06704105766092,34.95721691796872,38.16694381887625,39.66213075039815,44.45718574935077,43.971401942290456,41.79585861886924,45.003180147463,43.27629805793258,40.27767884839291,39.16543062878125,38.376176184592325,35.03517217989624,35.4576775627648,33.851223455041506,37.43036192947322,34.696323964606485,36.83881274986853,39.10087768208914,38.37013910602402,39.3033727696663,40.888561943946534,40.905575992014725,41.46943449842128,44.576998431284146,43.201027171450704,47.66672441208362,47.704154658897295,44.8768848302222,46.809691697511106,48.013731224080566,44.91069234252349,41.95062278030621,42.378638797899555,41.07812858328944,45.004398999874425,46.263989466881874,47.24577624390622,47.67649949982044,46.303029835303555,51.05140295141333,51.34772062741989,51.71851839926956,50.70549963144505,46.28729237439449,50.47112932985516,52.87186583568653,50.46088208864717,53.85222517415501,53.01752982624461,57.107320802336446,54.777048269643906,56.0658177081014,55.6927785820176,52.98043768121879,51.65702986481742,49.011218060480545,48.639725543753286,47.72930969396809,42.882437794751866,43.31112051177019,39.557852941455195,38.76504671465735,39.449244250793214,38.05062331539937,35.12110347781011,34.247675112385686,35.52636262664923,31.87695276927738,28.60213232550265,30.8395976945789,31.863470704223218,26.14582609413625,25.54827744925305,27.049373331697097,24.72956335825303,21.1465971127174,22.820356457856782,24.19916018741592,27.7819277797099,29.50537462072611,31.23029703268892,33.13202072690345,38.30276897678739,40.06578989573877,43.59210488312944,45.527379029733865,45.13330301328135,48.272777606403295,47.10224506685423,51.144400092590686,49.03432361031055,43.987957372935945,47.58323649295041,50.49545639945818,46.153895756405205,45.13939448762716,49.13135129118646,48.163505506692864,43.90616428057604,45.30264291524158,41.00261312569608,44.2902757725305,46.26509583512391,44.11363375363703,46.43319365305345,47.79231876790182,46.202655635306634,42.66309231320134,42.48254714566713,43.01966344800556,39.42751314934428,37.13129097152917,37.58046336440921,35.44221153912023,32.394229613697966,35.48645395091847,34.75588765909792,29.98549286784763,31.03299227715626,34.4545107548172,34.46514805851372,38.445390469704584,39.31957249505452,42.64586612702182,39.4386280064746,35.37067815197935,40.1450826270891,40.183326305195024,36.64932485416738,37.45623609638659,42.58387083497663,39.713384459794426,35.80250003855101,39.869856979505485,43.01167725414093,39.80190206692985,36.62243609832674,32.082450402190496,34.45185631613341,29.987363092427795,29.063272684001717,25.313349126370326,26.684060866356504,23.16760400509042,22.45026370101856,25.941986537717295,28.772102230869777,31.194402914282005,32.51077167996889,30.88083408095497,34.85321035990028,31.939538087178846,29.528277021127405,33.91246042357926,34.07978195337566,34.894821248244426,30.37923399352736,28.306695673489592,28.78557282821378,27.296974142118856,23.12192969806749,24.705622633262607,25.377371995890385,26.31883192323169,27.116379531130434,27.543502987534666],[18.28252607946316,20.837996271182373,25.55143078991648,23.78666090597604,29.75042101347679,26.814418437131156,29.724759386857208,31.813312518945963,30.04686901828631,32.870835430124046,33.95196376803709,35.736637080222614,38.093583777264286,35.73875804284409,39.878421527158004,42.19759655426443,41.93899978506351,45.93980396511861,48.40342685858766,51.337745609470545,54.441145158605174,58.45692084862431,58.99641529849059,58.17367002581318,55.33942590494256,51.39723427182437,50.08070236239784,46.26413761245504,46.590302650523554,45.68340137401063,47.291822100542326,46.92074139934798,49.29831782287124,53.43771967943683,52.23552544508207,51.14706105374895,50.42024050201383,51.97971442031465,52.033723539868745,57.68640748755814,54.79738021891778,55.57052763349136,59.95190468381098,59.77529444990969,61.429709521155395,60.58127336316512,64.6359359881199,63.74629092781332,59.6542781080924,63.83028891441624,65.95522447551757,65.19769360164932,67.41649237263958,62.18602429999861,66.61403471883474,69.11680600149387,65.15790737495303,64.04050775634202,68.85299745182972,68.81202826957899,64.74961541865952,65.16352480631892,62.68898722238809,64.3245809132289,62.55949633440038,58.88100127075685,55.36040752425131,52.1228797054346,48.92588563861271,45.96311037559294,44.934763526965504,46.129925156685196,48.47674018234475,52.76874279037419,52.06971793461757,57.962809811236845,58.080236370475006,60.39641973544801,60.187792559470445,61.70891668523344,59.8620287070411,60.089949518165305,57.06310693758075,58.29221303108048,55.59528915565834,54.03260657401301,55.954312571399896,55.822923078491044,55.3871415623902,57.26267337824078,54.47719339749996,56.35409485363937,52.496051895429744,50.13267143321418,45.7212444307985,44.644100303553024,40.75116399480744,43.83848250722371,41.258352550220856,41.21650241252767,45.32773177816048,44.31976773457278,47.746891568995586,45.772681854131704,49.85974915692339,44.920688860454774,46.62094469997469,46.40132842122496,41.95374313837021,41.39317431565808,37.016715250004545,38.90925370334682,35.43401322953551,37.198441391533784,37.25601859004226,38.160165871606274,41.171197396253355,42.17466627019402,45.64304969043637,43.2520348414235,40.224457985241486,37.312917955589725,35.87778814886098,34.10638627101206,31.99008653915526,35.00086079931082,32.806643563868526,37.43422500569745,39.578152829871605,44.25310696039463,43.78989037154006,47.64359957501039,49.38365360385061,49.875332128047575,46.860933162627596,43.2628947791438,40.89463175213058,40.060653506467375,38.938783156991775,41.894053976319505,43.60121424936418,48.270884996189174,47.358458084989415,45.151339972551085,48.18909461982154,46.02188847343838,43.17929301123094,41.67275744450858,40.84000550046919,37.127356257871014,37.353866465127965,35.0484581944918,38.272994428448875,34.730435571981914,37.00229815938849,39.821528722878625,39.55848263560129,40.854556930858735,42.64671061184043,43.23570080336444,44.37901850081289,47.27096757661121,46.50278720649723,50.80085822408309,51.363792058759884,48.91561584153742,50.94696347742743,52.46240677970816,49.43730774599436,46.34908709059732,46.55545050511208,44.9705257877065,48.555547921134384,49.45956887922324,50.0589759349176,50.11942378411167,48.441743147783725,53.07966335421343,53.872602340525496,54.29620750893887,53.81750375469533,49.254923077630444,53.80882089158212,56.443212640720745,54.095573140996464,57.35352083762327,56.34818970060835,60.722871320879975,58.69351120169925,60.04672969176563,59.8908423197517,56.97948831514801,55.83507030502061,53.169527264966696,52.7605025671388,51.94013687866606,47.07209502768628,47.279408167625945,43.51655547604971,42.267672260639586,42.83925835257263,40.97432234187591,38.28678944879988,37.76766525101014,38.5449706433341,34.68506520879156,32.213420206069216,34.11026599885961,34.26652920428244,28.90499083933624,28.645584090927752,29.564237687307717,26.773197776431218,23.92295783309387,25.67332272500932,27.65310317213619,30.420363086664523,33.32062361240187,34.6840251849456,36.083951845856646,41.3935274942528,42.64944470877888,46.5549070623379,48.22479519835346,48.029114153022114,51.0837910048209,49.91201517173282,54.20179942530326,52.25733711658391,47.35324217518962,50.9253459340019,54.12407280104245,49.98487653185745,48.96187432125126,53.01070091246614,52.38170322573735,48.19336642209273,49.532564268942195,44.97625392271389,47.82763425104284,49.60805962187306,47.080504942892105,49.05200944810357,49.97770523963192,48.32446610313877,45.2071292691593,44.61172241225559,44.69384190933308,41.38513293747769,39.30234038437864,39.09726150020392,36.72073747568998,34.18425458233198,37.08558979357286,35.7756760156477,31.062683194710015,32.62051067254932,35.88054984388966,36.464918200218825,40.480507104456656,41.614308279366924,45.13229504667785,41.90752119587416,38.20127239432299,43.140955529223135,43.33111149262368,39.923596045098975,41.05723307549149,46.177318340966416,43.49135907921259,39.832091615481374,43.985561773691124,47.117352158340836,44.07770353218165,41.06672151540415,36.60424374790486,39.19457525290532,34.89764359022608,33.47113256579799,29.901687289642187,30.79386956102774,27.078702157409154,27.10879602761692,30.59374741224715,33.64349028299803,35.90129564263177,36.73476224831001,34.91194773942423,38.62842511003177,35.553142004121355,32.71628808151843,36.48097352249025,36.32014560475118,36.69781221421812,32.63562092851462,30.569164991249224,30.249544873956314,29.02054202816128,25.354941816965336,26.38045624077377,26.14774796809228,26.741266118758414,27.38070413073074,27.6800636409471],[17.763822606453257,20.61837323012425,25.30710896107502,23.810890985557133,29.50311267158859,25.60474248540686,28.32943856535745,29.83608425136194,27.862640610437147,30.906104833486374,31.59454630248818,33.04236987229105,35.95366567510857,33.73129292500727,37.50922560077111,39.88203955679773,40.10782806160145,44.074655324615705,46.89650952459011,49.7735532763739,53.021860945374044,57.073072468995434,57.79995632897473,57.25426882932201,54.34859079041621,50.32687125591276,48.91612936406093,44.927740450473856,44.83853203743412,43.620345555632944,44.87154096916578,44.39325715305724,46.47070163186824,50.72096923532896,49.78613927674635,49.01124714726886,48.257607757841086,50.27500743992871,50.62576067075574,56.316642812023154,53.75248978362689,54.272445496901796,58.61741233463302,58.74870500278633,60.61785744095951,60.05277972364158,64.09333736228486,62.89458871173395,58.97506235082782,63.29168228674961,65.09239126323898,64.20854073290278,66.22429135899361,60.91436612670157,65.05574016629791,67.68894740476597,63.810807301616556,62.34744739899778,67.13074423181206,67.39494023799023,63.18966096882007,63.306787762480425,60.62844880898975,62.4870465714229,60.93098198977978,57.12278737914017,53.67063716445861,50.20535445727935,47.189436192576295,43.936030240638026,43.131491314569786,44.27067400728452,46.349867871971135,50.811045284599345,49.85227904580803,55.60047000628198,55.90319473135716,57.94628567162924,57.915439346203165,59.64884872702278,57.74730059546097,58.28089313638442,55.07497991338906,56.63943981807934,54.149402270857095,52.27294011925653,54.15821424565312,53.653522582443784,53.31068347175776,54.75770205099641,52.01549734512374,53.72586830056628,49.78016236078119,47.27385347979957,42.9909869187734,41.695953224969955,37.96669682546485,40.934745235920445,38.389086938600215,38.08925547865222,42.5905103134496,41.72506327041606,45.41599730074778,43.67064843090336,48.12803653914177,43.388175747480005,45.19629208877122,45.373888091976305,41.030568338314296,40.020577782654435,35.8089311007143,37.65257679385998,33.98430548406443,36.08624678150222,35.886770488585924,37.203254370165425,40.014767034882816,41.4345578767595,44.58945149595649,41.801506393510095,38.971799658572344,35.97584980258496,35.08620699700675,33.184777476224355,30.912136314093956,34.31610710264602,32.01884335275313,36.67944334247368,38.857959531017556,43.334989207911,43.41610590674529,47.13457611739773,49.00121836718404,49.03369126183596,46.397178829969775,42.68534557774509,40.85433661358263,39.84956060370473,38.76832938569238,41.44619149934254,43.46807787910204,47.985355675403355,46.66571279905342,44.377416861893,47.2061231417519,44.66236926575849,41.968517688932295,40.11408758300366,39.23003954334686,35.274633890511836,35.37354189507565,32.58774353389568,35.579134878391464,31.58510037149009,33.85097179310682,36.97891663031212,37.01849523722324,38.56404737462116,40.47494272770908,41.49877412774353,43.09892148446804,45.79805434072463,45.58208064894993,49.68097422325826,50.71760703842334,48.68844858567166,50.78225377379835,52.643296291740384,49.72873385710385,46.516511119669,46.470444489999515,44.60317021289876,47.815875540782784,48.38213695131379,48.64276339911185,48.400940157728606,46.4993337722368,51.01749538502471,52.189279029988874,52.65827965083287,52.632150612761336,47.999434687284044,52.85688624069672,55.68757800906668,53.39854800238237,56.50180755768518,55.36394899180872,59.978219123264466,58.29492449628673,59.665438637022376,59.73763443568366,56.62585663936935,55.694201704706366,53.046892079207964,52.64809439269501,52.008435887269584,47.1476855081065,47.23199969813575,43.591388579739096,41.87157660189739,42.56771730586182,40.25809080994859,37.68595497957402,37.69837712522685,38.20247851829519,34.073198629586074,32.320739135575316,34.20054831838651,33.704264320914625,28.5462838525715,28.81247724913811,29.52736057862985,26.204897322008602,23.966393035042223,26.253642525828553,28.49833950777093,30.96401104575011,34.593884967766,35.40541707011615,36.61722747220044,42.00085333403563,43.1202649049085,47.084081306068335,48.322573145405286,48.02290878733464,50.851798554932365,49.430931794052526,53.93447473575896,52.32291070111698,47.35971592639069,50.743559727929096,54.30218672972467,50.39541941362257,49.165894925142915,53.159791986721835,53.03682005121456,48.91595956192094,49.891509306884906,45.22262232276855,47.49138104837097,49.206291145554594,46.51374299290798,48.10418110907962,48.83529801259859,46.93688631271685,44.17977279977409,43.52846244668534,43.156729467223975,39.93193678637994,38.241325634179695,37.68601339177725,35.084431499517564,33.00503895394942,36.02981870597168,34.37047812561661,29.680605633482713,31.84612074809342,35.12772420366943,36.028167391725695,39.90884309474555,40.944618377881795,44.71114651787984,41.772920159935076,38.0985665476147,43.021325299796985,43.606062350451595,40.34249787163122,41.40582812832894,46.67738209084572,44.42626493825363,40.74819207925659,44.745241790523316,48.12755953571585,45.438674764546484,42.428766036532735,37.96554426336816,41.04036366187315,36.888023079308965,35.25635465029992,31.49112126456146,31.74320304820401,27.68192477909116,28.4173769449953,31.75564007910257,35.09869268581145,36.99097540484495,37.371420068441424,35.098972996223914,38.480531420653826,35.15272524967425,32.10624025477787,35.30238092916787,35.04024726863202,34.93348070254674,31.19240363340137,29.393907356129468,28.47570949841641,27.19504893254102,24.174601616536265,25.045971676469307,24.189440981845568,24.580640448826564,25.19407869613473,25.557205389396753],[20.216471504542557,23.30709766106623,28.222598286512422,27.27265622776295,33.11060144693936,29.594589222884316,32.61931100743445,34.13032619826489,32.48579657823282,35.69776364945227,36.465621026210485,37.76380929903068,40.74443793463968,38.658846922226736,42.44074048031976,44.75330330805709,44.98860102854539,49.009984033496885,51.834859338866785,54.66610189836116,57.92997020479282,61.942387204358965,62.66855625793279,62.050030189265414,59.12953706109721,55.15444335652897,53.694697499610875,49.73064667667989,49.68281650383899,48.40957969500955,49.78763168706745,49.14875426377088,51.21523948557519,55.53367707635984,54.58616350818281,53.86852700858454,52.97506539831223,55.03883294071709,55.31473806991229,60.90315408378979,58.37615226870579,59.04851875891078,63.378124355016354,63.43086819014744,65.29350056678871,64.60908243031604,68.64957007495249,67.51461705026253,63.47693160110583,67.68689183269234,69.58183912784901,68.66490250381156,70.77622778851237,65.49016762845653,69.66562852842948,72.36862042258015,68.53266830799238,67.11481132266802,71.91334770763167,72.18928002321154,68.0470412537384,68.22871659887792,65.56778138514761,67.4582339367046,65.86359120865656,62.03988136321688,58.640201464824685,55.17943728644884,52.183410590806076,48.94306549230486,48.13488458328881,49.260195561934786,51.35905770296935,55.82051273579918,54.84513112581166,60.581268552949766,60.85726509258413,62.862534656262945,62.792932384010456,64.48717580008254,62.47305388553447,62.92238008717093,59.60143878696332,61.06943262219293,58.6339131812618,56.87550587369057,58.90560368963275,58.36986799021917,58.17543439394307,59.60224859954161,56.933453884354996,58.659493900241316,54.69565379897644,52.12869836402649,47.868558727703046,46.55575382265918,42.865311480208476,45.6830688457047,43.05215515439078,42.45277580076137,47.109979710043895,45.942902357373484,49.81791665146523,47.78400033913991,52.13360768632779,47.28443564217513,48.762182552895474,48.84668410431429,44.43342119171402,43.651427237968626,39.524793494438654,41.73389206750325,38.28792987183111,40.48582237392514,40.56357398820456,41.84331935180454,44.78087422666184,46.125367545369684,49.439917159798085,46.71514018099568,43.86665429929202,40.85111031131129,39.797443285727404,37.837653656549946,35.46748019476419,38.59541193565594,35.937856934533315,40.625875535079466,42.561815726630435,47.10679145813756,46.87924669793183,50.49112835231154,52.55621651526357,52.766065401475366,50.18793784436773,46.66104342142347,44.51453232829634,43.87117934768949,42.96378851340753,45.79994604043721,47.8509397991125,52.45190432725264,51.295417105058135,48.95795071587509,51.81470903304798,49.34910703302778,46.59387229280378,44.719299527875506,43.6658256696471,39.72902775316594,39.536883596235874,36.85456698753497,39.53842289074503,35.464186896404904,38.05527914216781,41.237386934999044,41.480799120155915,42.81847766640318,44.97678839570372,45.74131657733608,47.427863069320225,50.34364350652235,50.044229779191625,54.158216906763464,54.9957717343192,52.86353365874267,54.75120565120678,56.50231801033922,53.41238770046124,50.37472845004222,50.33960403879937,48.703844179697455,52.00026632221366,52.63124433403419,52.99709312378695,52.69871967101531,50.991591514386606,55.377488054761756,56.590729425771016,56.90075877009928,56.85593234860301,52.05384018852207,56.7846459370348,59.586433952468816,57.40882834578462,60.74769604100419,59.79452590681538,64.3019080343257,62.609808957150456,63.819438130386125,63.7171862796905,60.624899567799226,59.4463999726124,56.67406988474347,56.10146095272359,55.19207713743344,50.352130174968494,50.226591360638906,46.367112977593585,44.84719749140616,45.071281115873525,42.93748542511827,40.61061742379728,40.14321539200974,40.375531247834836,36.55664245969522,34.746369074153414,36.097592354246224,35.541091728460884,30.724035705140896,30.550897718239685,30.823991758468782,27.915114197184266,25.749138620429306,27.195121321573883,29.666791514533386,31.51055724693819,35.40721703756062,36.528153285533975,37.372011363077,42.69760400890637,43.38375714657473,47.65008570756092,49.17280626777304,49.279400617625775,52.31016909625894,51.32111733199606,55.74586184234067,53.83689016874039,49.23837567835926,52.86305291204108,56.18099331584541,52.234753465055384,51.36359619164812,55.49683779627538,55.02800256125088,50.94930566103919,52.48535715902552,47.65226236118281,50.28026766185692,51.76145754596917,48.83456698223078,50.58952808314139,51.02961769124498,49.54732456763815,46.782192655944215,45.63475496418296,45.47082499673803,42.58357353406276,40.49736349155538,39.68559324512687,37.2491853310483,35.11275556403308,37.57268048157315,35.814884456787695,31.336316346267697,33.06070566520181,36.00633183316874,37.08382813396528,41.11505152296791,42.614825363039536,46.14738942804802,42.80056890019152,39.61546828980959,44.673655985035715,44.827972188619796,41.57173662763541,43.1573672188843,48.08980092380413,45.472105206922826,42.213655229767134,46.51077832472216,49.4466835253981,46.52001478834455,43.77946167836829,39.4996174446529,42.1501295154626,38.1057890505862,36.10103863874412,32.9232950823798,33.47925596235162,29.85729187021557,30.482414924444235,33.95391552724772,37.076227470366725,39.28362145638773,39.65335431479646,37.99456105877821,41.51977062032477,38.6085166146502,35.308613521203206,38.53712463036058,37.94259364654592,38.18743471571947,34.68005345884499,32.361331231022945,31.48481758837248,30.891618939520264,27.45365016516827,27.70243139391181,26.811097254005617,27.119346914246087,27.617065995461445,27.770546446030743],[15.06688729282898,18.450379588332687,23.409909020877755,23.412706207682003,29.029073016961664,25.437493609430817,28.818699721766393,30.092240745727054,29.15336024708619,32.862552572383876,33.900960374918895,34.75793764793781,37.80897831601029,36.382576945511794,40.18034330532985,42.129345010143474,42.48564445860433,46.771854692900746,49.962489882251035,52.354673262248824,55.88952835555952,59.65149611375543,60.672341966828334,60.104469202672085,56.924295358064164,53.12887767875214,51.240084058895846,47.217185037946166,47.020657884636094,45.42619004191062,47.41601244305047,46.107396858524034,48.34145259742231,52.83149860788796,51.651501795271955,51.11460040981725,49.720302544909245,52.04577988028139,52.25162922269234,57.520175605270204,55.40423366787692,56.39035960938132,60.59267261648156,60.65019087419539,62.78388511500127,62.06974297299947,66.05404720571418,64.69758254235096,60.498147699348735,64.54198065751639,66.3118713734807,65.18736258705727,67.35888591696164,62.11529352606673,66.18193687121928,69.17251671177692,65.54533673764391,64.06849676705203,68.8910299426167,69.41391992497054,65.48296959302905,65.81453807787571,63.21077112326935,65.4431512266195,63.69655342089175,59.67640975449837,56.800386493208094,53.18668352459689,50.642950207012795,47.376873848372114,46.89360496922046,48.46335832523415,50.15021011246442,54.48776183077001,53.0427971564546,58.783305385384715,58.61966696834479,60.48181434116729,60.11293422700064,61.61117363069128,59.20229884245754,59.457504450765974,55.821376881122056,57.166924312463784,54.95477085551798,53.34943210310215,55.78581723017787,55.08208371844174,55.43775632344915,56.867635729337984,54.58092106869919,56.66669023357499,52.67700983479027,49.87585368038178,45.55430154427904,44.55971826147089,40.80469243588699,42.92133899215924,39.95535168837477,38.85392266187701,43.51938959818734,41.714519622330506,45.82828707940569,43.303577982159034,47.52622140274985,42.597712328517304,43.70042126887043,43.83508911542176,39.4295069285825,38.71264448269666,34.7962056390744,37.484947880042945,34.38120666350493,36.97699853060471,37.618578489796185,39.18291148372289,42.34772271650106,43.98165262345085,47.688744209354994,44.73152998041461,42.09983859628447,38.83315434161585,37.77115356003707,35.35146907771403,32.49647424778385,35.23085124618794,31.81006274346118,36.50093089113436,38.07529146706623,42.53386474806385,42.28720305319638,45.6431651039591,48.032819061218966,48.14475076882472,45.9538120122282,42.66775963159987,40.54750669477389,40.39051909379376,39.97333994770756,42.8162248402064,45.48472948255913,50.07812365464076,48.87828858555756,46.2353933259303,48.90216343570773,46.350135154900926,43.545725057541006,41.37693255418438,39.8949852393955,35.953739164182515,35.203975455315025,32.7413486856418,35.02493780272821,31.156519672998208,34.206018310379996,37.22376088946871,37.71451982339085,38.60560639490654,41.213896339203394,41.533172520661424,43.572397102787676,46.840857494574465,46.76188766496368,50.70493133575257,51.482414403198824,49.633619684830315,51.11594300613064,53.08562500237139,49.82302947615453,46.97695648627604,46.63227630182439,45.15254563899402,48.211540981744605,48.6978382620323,49.066942467012744,48.543635300090415,47.18465381214568,51.2609914609292,52.61821066238502,52.64467734166842,52.77155560559904,47.67621599476418,52.35140053501126,55.22387024076642,53.289661456982465,56.9307020805118,56.29689910387565,60.753166260339164,59.44220082172574,60.26177149392377,60.05754622707682,56.79411437520204,55.40210502160662,52.46601896225149,51.65941233478236,50.58900800961951,45.810641348245916,45.347033225122196,41.41362790622005,39.724868010712584,39.65453878474491,37.410311119136544,35.35652341263118,34.86592916142663,34.75252718904719,31.00858182178533,29.657108787676105,30.642871401617366,29.695752316326733,25.203689129518526,25.145863810271816,25.111838467800197,22.109003654221752,20.37697981375549,21.861073223622355,24.597193587903607,26.022808644852184,30.53159183825925,31.229533340967826,31.84007164186777,37.17410321894207,37.753304469170246,42.05305937281911,43.32822964245087,43.44423383886007,46.40069192649072,45.44024644295923,49.92048261174373,48.09230044669471,43.617443011529545,47.22570000856484,50.64181810124943,46.86198000676041,46.03882015231122,50.199435746398024,49.93503926679063,45.96838623236044,47.57560022883229,42.54647135236462,44.998395181416946,46.25867913245694,43.1189863782872,44.800554131329406,45.05382246290082,43.722872673080985,41.056406242405885,39.66151764535008,39.51265663101062,36.80614847886002,34.61634056782659,33.65098897258473,31.271302719221776,29.176861687523868,31.47991432258797,29.685869088886886,25.26076196894382,27.004520107269183,29.915688244976238,31.08674868385405,35.07035595211795,36.62509461706981,40.17399590173072,36.89282385788463,33.85029010120715,38.91168731612429,39.16885589792599,36.03045500619183,37.75169655473707,42.62601423362928,40.25744553135665,37.16386686812589,41.43309882573023,44.37124485901763,41.715571787382764,39.11870522694081,34.98324509675953,37.983874800707234,34.248579242979,31.800148248717413,28.72663162524695,28.715061154672252,25.116308178987865,26.458210769695885,29.77698409861796,33.03227971397415,35.00884298647511,34.85989425893067,33.347907070821094,36.68142867834104,34.08252338278585,30.38517743920682,33.29868950836515,32.39347275925464,32.8223674733737,29.65256006143673,26.971101712334953,26.008147805472973,26.045986419464736,22.447658564404108,22.126332180012508,21.17186187684311,21.58290390722087,22.1591668775129,22.43094631481739],[16.86063114667483,19.921111223400832,24.90580404371689,24.668462598710416,30.54892951393411,27.87639385490259,31.3953404380444,33.19074967586973,32.345550935051335,35.82359393783005,37.142974052769034,38.33085321984323,40.93770189167245,39.31456917975116,43.41135873087778,45.37191637711763,45.321011559945745,49.611748397409535,52.46694575415445,54.961588213303806,58.349330292317454,62.11076351433888,62.94011744332077,62.126466784099875,59.030180814124975,55.28349513520547,53.517771677648476,49.64410413870671,49.814846833811615,48.51152410033936,50.724350562749784,49.578741345354715,52.03585791513624,56.42719945018107,55.0577217574958,54.24437314697279,52.919591672971016,54.83816854497615,54.79602717565695,60.05609509219032,57.621127274248664,58.807367515642,63.05559543802674,62.83991263310788,64.76155478431191,63.79055619999044,67.79175467880376,66.73408052660854,62.386722088418956,66.31070504987893,68.38399652924535,67.38987545833406,69.74275465764399,64.56121828867235,68.89032536956505,71.75382646931381,68.03622831447618,66.86277775030963,71.71426857548907,71.9538748258417,68.12529004257541,68.69347580603265,66.2514183522071,68.26331958219609,66.35535464239756,62.462133533662886,59.46453880025225,56.051903873145015,53.297195390119604,50.26098596757143,49.549010349232745,51.1013979870759,53.069424952780096,57.30148604385491,56.126364953140175,61.997473328074555,61.736311560565845,63.83938395990163,63.35829023734504,64.7018734746916,62.37120181536151,62.38058211975812,58.91734795752288,59.979053505640636,57.57450024947626,56.232841715812654,58.67096368042836,58.2961145059512,58.523293560178296,60.303635824745825,57.935514231646565,60.111469641666226,56.184994182762715,53.51922530829424,49.0936787485154,48.21686704797413,44.3311821617534,46.648363736581146,43.692546489529235,42.84956591549727,47.21265854284722,45.342095461173486,49.224521176207205,46.53164865601441,50.424081486610426,45.326860755482116,46.32150292909506,46.08145366983607,41.58138138745336,41.29876411138919,37.23633191649591,39.95876959907382,37.01389207035737,39.28532616493414,40.10556080050567,41.28772731258155,44.606569991123315,45.85159900416444,49.79096524332557,47.19293075397802,44.364714865207695,41.19346826224893,39.6695095875907,37.40655160308821,34.72839959766505,37.14611352153077,33.85687701515076,38.509075451887774,40.046244527674496,44.69179315255895,43.91032500254675,47.386021992106535,49.66350692729724,50.22498170880031,47.675163831350496,44.501499731500786,41.854478502045296,41.86177366964598,41.38789546689302,44.48936166767174,46.827156023908614,51.56111889822025,50.73325747777166,48.18702107166332,51.05661135911082,48.84193469324074,45.90981647202907,44.06609361698824,42.66032875275773,38.926662795244845,38.32645446855033,36.25193452185398,38.75517622805402,35.230217192831226,38.24553795700471,41.03497840593953,41.2596854305171,41.98159869097926,44.457928177730814,44.4339764195482,46.04997826229455,49.47062310178436,48.88499335852495,53.018672168371104,53.368168368285204,51.10905614284154,52.540838878656515,54.166280080549676,50.79306623106728,48.07543453685644,47.98264244301053,46.77540121129412,50.19258989168763,50.99509586438255,51.67026476033747,51.424640481336496,50.24155291955128,54.44079162949077,55.46123718709609,55.4567275490015,55.170835866478555,50.14640487865601,54.536602257406805,57.22100894680671,55.232391339264126,59.013336631460966,58.48982769127156,62.72879082675393,61.07321988428092,61.888414972915854,61.4633209357175,58.3963742934041,56.79832816662477,53.842018036671845,53.015329380706184,51.74631963013268,46.968890992926234,46.6038204452398,42.526049521459086,41.32999089564412,41.075916573444296,39.29997985270104,37.16630010810662,36.08619014300937,36.20403146559913,32.78907420699687,30.709009294021456,31.616049840444074,31.328310423858085,26.709744899537228,26.02450795879506,26.110469126315433,23.770011274860842,21.417991104230754,22.121036362989297,24.616817307372504,26.20607446282362,30.014272791139017,31.375507419261297,32.09112606172045,37.33422410224546,37.94022970940318,42.259538442389406,44.050608803229004,44.36105127709892,47.58442266424685,46.95589807225806,51.201651321470834,48.98770950294855,44.65024297809654,48.48540798462675,51.494351793748216,47.47747489322967,46.92890261970416,51.16093686429527,50.3297055803059,46.30892032618732,48.37129953480532,43.43715104232141,46.51604603865975,47.80685790288837,44.79983434996966,46.872535658645745,47.26542790022676,46.232124418595895,43.229875585882695,41.819638992914825,42.13471568550126,39.40274240115611,36.792561259748716,36.13154126837286,34.00543919005359,31.475099861581054,33.54597737040618,32.09145647463565,27.723242193159287,28.74671621071607,31.54558467551227,32.42513241661146,36.565929827585364,38.30798239918492,41.55200354124768,37.898375974349186,34.93746738745915,40.03358073198608,39.79645208818997,36.51472977469223,38.42008607940118,43.06475024115685,40.164934014054865,37.189284201302364,41.682292754499635,44.266371213580726,41.19528948739069,38.65847967420168,34.5631319176661,36.956623815252975,33.092621138637334,30.75673094296145,28.04058717616321,28.76918022836961,25.626740274434397,26.211125308495436,29.708072251134915,32.61611266748984,35.0303663712966,35.339118840895466,34.37492869532844,38.05407466924393,35.74087630291766,32.24265140004844,35.700215921450976,34.86798959416289,35.75687138301532,32.32453056478136,29.37829870847386,28.97709860059106,29.07781229232267,24.882252012261244,24.66970405700755,24.283660770243245,24.768903055317676,25.294535812253468,25.380410895581406],[16.055514316748752,18.81057654090824,23.663156093963913,23.71695170282979,29.552475705049055,27.64514822513751,31.371275185634904,33.4504405081816,33.027328503088135,36.50049094048303,38.160072654677606,39.39342970971526,41.635951807526105,40.1942619296004,44.49408655815854,46.26887348130042,45.94750873090899,50.336074367403434,53.08480849453427,55.424851907509414,58.80950552062179,62.424329414228936,63.25046858681325,62.26814581096717,59.12563549467913,55.52906503001933,53.656381589284294,49.90063226159086,50.28979932840767,49.07770271631889,51.75787891462262,50.43080160155713,53.14288856645422,57.50551652816158,55.870133374808326,54.91885737862692,53.41787894809744,55.1158114663395,54.83829229494603,59.90736081853984,57.431449988318555,58.92257432986445,63.12190907694003,62.694346158423706,64.5727799212997,63.3922046376237,67.3596964131861,66.4308831705589,61.909770282587864,65.63710994473183,67.88425914362264,66.8891168551213,69.40830868209534,64.32105029289797,68.7934200557457,71.67910128001152,68.00643681316771,67.05762969067152,71.92362361466544,72.05306572412155,68.4250488872227,69.25897950797737,66.98842428064722,68.98213967189908,66.87488964389557,63.00296563540503,60.184435492711685,56.87689908407308,54.19769686531508,51.35427652741181,50.62939709468047,52.38606982001153,54.35420230291542,58.41306686076848,57.225833707877364,63.173680950706895,62.61544679774722,64.83945551171372,64.11809368720589,65.23020788166555,62.783934581390874,62.4995379355035,59.047508542497035,59.81026548536109,57.36462837925729,56.32082998899541,58.94029045171702,58.75837960950563,59.14426329345161,61.211529806971235,58.97398358319634,61.39464498660018,57.528997255616375,54.87638071044578,50.359917332353966,49.747356911077894,45.75098062756758,47.876405147970026,44.794206092006945,43.953165078275696,48.012852987634695,45.813774800272085,49.57139902360154,46.538024017389894,50.071189939364345,44.83738871106415,45.57705754208708,45.05281781060661,40.519472909495185,40.62054415322051,36.577369263107435,39.513273480918905,36.89434372115434,39.06340855739366,40.29025357932457,41.297633566322865,44.815699955176946,45.888893562181934,50.173719551099694,47.763260238457356,44.91503033445436,41.72469083625351,39.85378008562409,37.51259897779108,34.773353158022466,36.710455042311445,33.20286630289888,37.761456835153744,39.081118590410036,43.7930676236711,42.58268970434069,46.01248160266394,48.32970334576197,49.19915848680664,46.55915605002899,43.61349369475098,40.591028877428684,40.96393675343812,40.69346485063355,43.968835778873434,46.337318247790485,51.13438350136224,50.57990959359981,47.97747999384352,50.88956551187598,48.91790593544154,45.88514836117117,44.177256053509815,42.64425634426936,39.12157058369749,38.396909822214745,36.77568386492484,39.2632312048941,36.18634294297124,39.32218623518063,41.80492682637041,41.908008864781955,42.2752212772666,44.821692871228436,44.30856437318457,45.72648340698591,49.40976076807482,48.530243924175636,52.70091471951533,52.68161797552354,50.25614931207295,51.440535408411826,52.89475378258099,49.374929978501044,46.87222905324627,46.822310919860705,45.91268120808858,49.470867095262484,50.451466716601544,51.37108405113548,51.250488414855496,50.38068817808419,54.51149795747736,55.31427180190175,55.155213345651994,54.614063998587554,49.543316195445406,53.65005348849917,56.20201639078016,54.293438304339666,58.30528783529782,58.023414195549414,62.04199615287216,60.313741634833995,60.934294493428744,60.29055037208977,57.313021295891744,55.45930583220268,52.427572214543645,51.48275727232007,49.99553763562835,45.275547263948596,44.84148217491464,40.65093158412176,39.784581190221886,39.27250273778849,37.84377164402284,35.772755561364065,34.227130873125276,34.403548860909545,31.318622764101335,28.86246404902248,29.556182371071582,29.6780083025315,25.1357212118169,24.002902861041864,24.098674492167973,22.312966444006264,19.657580781213902,19.734734949763286,22.070618093207248,23.66737853887333,27.069404064922185,28.75473053241244,29.497723539896047,34.636642186060165,35.28731516960377,39.55088197968505,41.64631152739082,42.06154900449181,45.43314140471808,45.04732468748212,49.1067375068587,46.64908731259336,42.45866398148874,46.43281159533426,49.15801801471994,45.04196932927974,44.71116362445816,48.98568255780447,47.81780043726706,43.8139736455959,46.235549865389125,41.32136621339443,44.79387454760181,46.01972804519241,43.06697509351633,45.41373421008473,45.87496101859253,45.12509881988689,41.89717987016764,40.43063197595224,41.13645438327269,38.4483522298302,35.493892367075446,35.07692218311968,33.20639767732085,30.34454349887603,32.18973792419307,31.063241215786316,26.803583844534383,27.22971350459648,29.933336998822558,30.54501587487179,34.740229397641414,36.58693652538002,39.58063932405173,35.715658850799095,32.84209860287504,37.9120534093978,37.35297279453538,34.020758154093144,36.073541102924764,40.5068265268819,37.329382004662214,34.502842351157646,39.11547276415058,41.43906468290566,38.1885576933722,35.757482682544854,31.77867593934508,33.86700113917543,30.060686231997046,27.641157909046935,25.26014434078977,26.301758074935176,23.590378155952127,23.896323401845535,27.404006879964847,30.06806792577409,32.687897947660126,33.11210314092173,32.6527323551887,36.47526136910135,34.55920353836083,31.092304612829953,34.818222249558644,33.94341143690538,35.286876027450994,31.81015463090399,28.540240316651374,28.599357135112605,29.008528178638027,24.334416479811697,23.99672401739253,24.1533097064971,24.82515963531277,25.40209218664955,25.456980978989506],[16.039830223874535,18.415667682193213,23.1592713129129,22.22369735754416,28.24301359362758,26.488925015470063,29.96726125777402,32.40331711194045,31.57431401532035,34.6637082267194,36.35137100382572,37.99290102868942,39.921874450639855,38.08994262030389,42.54350929895636,44.46683575076317,43.87724825936296,48.14906591571223,50.60178568523523,53.16211480316137,56.36977296228584,60.09563312420618,60.72231655985258,59.65057752174074,56.64577869176112,52.984170901878954,51.350151350924996,47.673322058669854,48.27452031130901,47.35858732122365,49.878786054227646,48.96044188084926,51.74695688653849,55.951578477162876,54.29755096773961,53.100764108477385,51.90341098118814,53.2686560499333,52.94038079808686,58.20203250032755,55.39077370872032,56.76144472889,61.03992439068051,60.53205114179017,62.21489838992773,61.005761391932076,65.00760399799276,64.25550424767347,59.80092793043728,63.62388841372013,65.99716651580918,65.16798850731382,67.67992277016323,62.58894419244062,67.21001346412244,69.86741537705116,66.04244895178995,65.23404329256694,70.09430197497149,69.98487075647178,66.28887383548346,67.14681258661247,64.93050507197258,66.67225598978759,64.55948888472905,60.830431035256986,57.747201183648194,54.59412607202941,51.65515533923325,48.94600758441731,48.00989822984742,49.63916544548184,51.85646828410584,55.87999350337059,54.991943900935766,61.00691821319436,60.55213612590602,62.97555756268714,62.31999244290187,63.44534677751518,61.2581324345075,60.98017749520399,57.81170226404251,58.554602010853706,55.883605141291056,54.82554852208992,57.197681087603335,57.26526712421472,57.29003581610158,59.55627759035564,57.10311337970582,59.45062918389673,55.64691434021715,53.185898684556165,48.62259819170871,48.00282217621795,43.93446482280518,46.46709964316364,43.54970805760895,43.21313120029087,47.006897760302685,45.21149718564652,48.63812060361681,45.911832315654195,49.438572444762684,44.216571039755095,45.329695106875995,44.688962504509846,40.141193311878226,40.22329549298238,35.93217574832775,38.427644241365954,35.576263089136326,37.378635628787976,38.31227203179314,39.053161582176116,42.49553209668773,43.32675019459698,47.503345979681676,45.31149104996243,42.30804800762004,39.256427877665054,37.24776078672249,35.168721254253335,32.74018040566138,34.85185574813808,31.943917151371583,36.49518288290828,38.15057224416904,42.95387230374651,41.755310041133,45.45513853444696,47.42889988995127,48.40097495340784,45.376682502967874,42.223343744219584,39.179165330718945,39.15204490576303,38.53569846132923,41.83119984211865,43.80251066518577,48.625701896886895,48.15253177747679,45.73334234546868,48.79874993237434,46.96701097388665,43.924777418901506,42.49541847758478,41.26953322326617,37.82852770308194,37.58669092026241,35.99868631509432,38.97561475719518,36.04159164241046,38.78428190533618,41.17690340861784,40.91234541409913,41.50033495193477,43.647088617932084,43.31304361971207,44.33235814889819,47.809018325430415,46.65790296761731,50.98408495224929,50.925906658425006,48.2721249253164,49.75512516761048,51.05404844235639,47.681769915176424,45.00671137618555,45.19209881634058,44.1632601351944,47.93245839999117,49.07502108083069,50.06370132280088,50.205237512859576,49.14514557377906,53.55734737893961,54.11132078344421,54.16882096473535,53.37620649472749,48.572270593034965,52.68235426497268,55.15010954520889,53.022064821225996,56.80622328818876,56.310841973822036,60.334749110869915,58.30447249077497,59.201971054797276,58.63432150428038,55.790878930184626,54.11904597917967,51.23673430826873,50.52375214532029,49.2394202222168,44.45278523212657,44.391471094226844,40.34494192639075,39.580841196876705,39.544139059366096,38.18820842281963,35.73250691773876,34.37542708040068,35.057421806717386,31.755689512651816,28.825868111380498,30.175896141005396,30.78434141851383,25.67125758330076,24.668844031449954,25.40733042808896,23.450926027621435,20.26254114919753,20.939584525330126,22.83615337834594,25.367018686126784,27.925726988940834,29.75723699425945,31.03783652282175,36.19919414460804,37.33760387361553,41.309974746000684,43.42251507517132,43.512482886161735,46.83234635860377,46.15718355204039,50.18766094976115,47.81137840880952,43.26267244503146,47.12160543364983,49.87112556977173,45.60841586848724,45.02935627265608,49.211178826707254,48.03064153765572,43.89431307863216,45.967581725479846,41.30915554463561,44.814439321355444,46.36486587687143,43.76236783534882,46.16033861475993,47.02517982704588,45.95298372483328,42.53635114599997,41.61019124693172,42.30417694393969,39.21437465685793,36.47293982095339,36.46366788714718,34.493349682523,31.480542683705252,33.85364098048827,32.93214003115174,28.419010746643632,29.04328075312457,32.069792600895056,32.38028466792738,36.52347806642768,37.97940562628826,41.08750693372747,37.441482309061094,34.042100557291114,39.01431162685544,38.636566900570095,35.17721295394228,36.72829592850516,41.44494715646479,38.29782462277786,35.0045189171579,39.444124595729846,42.06803099607594,38.74756847475956,35.992137186462585,31.75411652623213,33.862356089746356,29.720047291548077,27.95054844164024,25.01957596933191,26.351444453679324,23.34008769342251,23.08058052031433,26.657111173261402,29.34963356314245,31.984938789145925,32.86987565970954,32.00753649331661,35.96895172217582,33.67152763950091,30.645211490644627,34.742811615716306,34.30856524139354,35.49568615011416,31.527464103616303,28.69396195767197,28.99549162766038,28.61732987861911,24.030477074707957,24.513220414750656,24.946969549461908,25.756290031797874,26.42974933537587,26.605375668331458],[16.381692291496968,18.07702505138117,22.411679493301246,21.423089687391908,27.334248558447904,26.693033077897756,30.257932773053955,33.13506918337243,32.67262621703806,35.56332837915999,37.6425458220234,39.46434217165579,40.82813107370885,39.08397521012416,43.788539476638775,45.530629919328106,44.516884039005056,48.82306412093175,51.0057281306994,53.45059597792968,56.560342796841496,60.12994240465824,60.661689066277866,59.34542327876779,56.36347525045153,52.88426170384743,51.22779061688161,47.75876422387627,48.713906924000355,48.03381707992403,51.02854388595419,50.058540515270735,53.14818945813298,57.23705883991902,55.273803968145,53.82533248167759,52.54171150093429,53.497338626223296,52.85849576052531,57.93126796193024,54.94112632227706,56.638099133850524,60.87032932027523,60.063408018472074,61.59893455460529,60.111940915757074,64.07073568148967,63.56520399901842,58.937556207155545,62.528841484419154,65.16911081029431,64.41833204606084,67.13273696567987,62.17946380476563,67.01355804600827,69.59580260673764,65.78322482657815,65.31133817200072,70.16679157583111,69.8233473283374,66.36045743864115,67.5506054076056,65.57154354151608,67.18268495096373,64.83372075223318,61.20628242129937,58.24862849394754,55.305112022555306,52.3708066207093,49.96677366822214,48.93589902259732,50.74640183516063,53.04912390362367,56.82481771259922,56.04771696921238,62.14850866619496,61.382968882683706,64.01544056626842,63.10366325525534,63.95200868076948,61.73687481633575,61.102405292543644,58.07836517010874,58.43990189074686,55.643130424029025,54.95282801314382,57.436235368586686,57.83682827730616,57.91099784245508,60.583756709973656,58.21622565286818,60.80863782406398,57.11977561269801,54.760197119216,50.10660140284782,49.7904370755564,45.604088857603124,48.04223426300093,45.06359973594518,44.90439623773491,48.230436052748665,46.21092448576851,49.34073700075429,46.343589865375954,49.3964369279878,44.05463106094102,44.98811498545141,43.945639975809975,39.39102544778975,39.95439846002086,35.63490709294624,38.18861888453944,35.69014800971357,37.18930934507722,38.50301516661778,38.900254880192826,42.52835319683998,43.02558219575432,47.55990310950787,45.71229825549149,42.6472309385032,39.664809770167764,37.18251555810786,35.14385542654845,32.80827418493793,34.33940549532268,31.44778888393612,35.81458329819846,37.31236766235658,42.193550762752935,40.44610769955447,44.174952109517804,46.035051990948666,47.449785029115084,44.160477862295885,41.24335174085258,37.70847506293208,37.99270284514897,37.49743045178651,41.00210842301277,42.812602030184905,47.69978588048234,47.62544951825445,45.23350424938772,48.39776408704667,46.947406336915485,43.80063445446368,42.669947170787516,41.422247278757276,38.31243536090701,38.106635956994886,37.08986844523538,40.18472369451882,37.8387126302571,40.55589818839614,42.547480536825695,42.01494178239678,42.259253217741964,44.3191162914103,43.46075656573822,44.06392255593942,47.75670140990289,46.125722767744136,50.5370008263748,49.986277224068,47.022426972563935,48.30717516556274,49.297418445958705,45.807063539507375,43.35672345938317,43.7146565219967,43.03789039287263,47.061186554877416,48.495837734818075,49.8158539078615,50.218227925958416,49.47682677226489,53.885656858939114,54.070186178293,54.0219152650362,52.81129130322877,48.09059982176757,51.813642741211915,54.06132270885286,51.951842028488784,55.91585087503743,55.643058269664806,59.366033969798046,57.114521857338175,57.873999062571016,57.053769295660366,54.402735279211036,52.483836298407724,49.582741943794446,48.82045999074291,47.341020029297404,42.631160645208354,42.64706037018679,38.54378995019617,38.27469906307506,38.1040808619181,37.249733148740226,34.741931485623574,32.863851073948226,33.83785463649935,30.926432416467172,27.331654548525012,28.669038096837212,30.018009459317085,24.874991720033464,23.355799316177304,24.37987165428748,23.125459031183947,19.42634798051575,19.50233984664316,20.884003283445743,23.816324448247276,25.306186757990595,27.65603792518871,29.20445443739176,34.15600049515348,35.58971092968626,39.29719980317211,41.76641009538253,41.87130756538936,45.343526848739735,44.87147347294933,48.61801764474344,45.97189750608593,41.501463169876764,45.46674000571553,47.83128353077918,43.39312418738976,43.00509857457111,47.17252534030273,45.529974758512004,41.38591891989736,43.78043763135343,39.304366686705244,43.328172091706925,44.920132675977065,42.558346398057935,45.30742220546948,46.411697523108785,45.57709252929338,41.83462159755157,41.05764831043604,42.218236104532004,39.06352211144816,36.009051785021875,36.451779946823486,34.77833027501541,31.360196854217772,33.61742077912716,33.177868828701506,28.788007322633636,28.75868161285532,31.72924303056736,31.585361849738806,35.71045897426523,37.12723104698057,39.923879506478976,36.136656086030584,32.6810899880473,37.51239212327188,36.78612388999279,33.24432976133498,34.75178280541251,39.25896694541808,35.7702541637379,32.49721644120958,36.98414685994277,39.36099011640801,35.76995096164679,33.02658387944215,28.862317260439145,30.49201191750196,26.28912998270818,24.767252172645012,22.094748912886516,24.051293578234052,21.58724450399611,20.59750142864812,24.165241700810824,26.461460365156967,29.393875777453804,30.676755299007105,30.346843631336483,34.523038320881746,32.61786985643132,29.87664788091301,34.40469610250434,34.097355523116065,35.76186218558279,31.60796441960106,28.611720421208783,29.558423413076124,29.254875201402914,24.249921608865044,24.882665000830247,25.991376418526606,26.99460156029385,27.704694864066852,27.873327870095817],[15.394231797975939,16.41576089696325,20.32741898721265,18.833577971902027,24.660047665733355,24.639546702389097,28.08997443665251,31.309008055714347,30.927008863682925,33.54644416251443,35.86173035040906,37.89419018392431,38.79817156759785,37.03369875978406,41.89663926227745,43.5426278715376,42.21718603716208,46.49896414062058,48.47257176955293,50.87398104448868,53.89612272922628,57.389571274418465,57.84615753351317,56.40774543644512,53.452487772549,50.064532131412314,48.436472897763096,45.101216457750745,46.28841266870016,45.817526689783755,49.04598754630041,48.15231476048624,51.43814590599598,55.39043064658292,53.23895741401609,51.58518124046304,50.34006983686892,50.97647047244101,50.17054382190599,55.18966650700251,52.03687607542559,53.857231878393996,58.07250812311153,57.11266954023118,58.545739972997914,56.94402110280391,60.88820383499156,60.5124789387122,55.83608661363862,59.35946886075715,62.127420886557175,61.45599636692046,64.24363392418898,59.355052891607556,64.32097567571043,66.79917991596665,62.959460758984164,62.68316435245918,67.5245611397934,67.01403558823814,63.657315154019535,65.02346027129666,63.19062568261018,64.68505542983691,62.20925159484842,58.66852173557908,55.75230173847732,52.961533911714284,50.01381281529722,47.825435315312745,46.72396914101915,48.64943081667826,51.00231150089847,54.598186825108186,53.92279971991497,60.06814679684028,59.12555461282276,61.91658642652355,60.86821139871737,61.560742914572295,59.408398846819836,58.59404562403372,55.74778325115681,55.91764485921563,52.99429291432156,52.47647513994103,54.93409711647326,55.582387496415514,55.58688826114884,58.537559479557224,56.181599694121616,58.910141193047316,55.322902821665174,53.08146457185781,48.37927278194396,48.27581125080671,44.01636072256737,46.470907884155274,43.521658408936126,43.65664753211188,46.56380755656085,44.58652196275605,47.39436244753949,44.4019550586191,47.203632309720476,41.846384918912584,42.88043938548896,41.62298591436373,37.09524894517055,37.841902046363685,33.42960980766555,35.78523889553316,33.39202661009571,34.59456781758818,36.01080671501902,36.16126630315069,39.8500209948689,40.13779284356248,44.82904627411456,43.2030873376861,40.10315414660457,37.19466815867665,34.44390959831556,32.47950650701139,30.285236767579054,31.55716759387703,28.926765441949307,33.159202751612014,34.724478006818345,39.641882515346026,37.709948910966524,41.56205730416422,43.206475030723034,44.81390482375639,41.27481309268765,38.375496823351675,34.67511181167378,34.9214388892861,34.37648192580284,37.95756937168007,39.61819733238684,44.52158455168327,44.631255073870165,42.293229574238374,45.52493428849084,44.30026858238316,41.113905409159145,40.22135363895348,39.07266279937656,36.194333155564195,36.20158740672894,35.53189361629866,38.87678731285163,36.982358449616655,39.482997199311995,41.16172320267748,40.32679296366094,40.459171092382704,42.29800921365983,41.239198523517054,41.483580162456605,45.18886858201429,43.258494582602594,47.73644848459218,46.97164490327323,43.832230737586045,45.13716759144637,45.98333844867042,42.5160790343212,40.079559227721646,40.56767341991232,39.97627177009761,44.153914308389204,45.76058531500601,47.2460711656667,47.86916244424038,47.218194425277474,51.709752801062805,51.6168795834445,51.60357686208434,50.11548862735834,45.56038008521526,49.11327071109019,51.2364860071938,49.050844700684934,52.9851585447686,52.73116404791395,56.32782583414857,53.91639257790105,54.704214570889654,53.83140550709548,51.29289140831467,49.3704577019149,46.53303814889433,45.8622104905071,44.43611816502374,39.73182652796094,39.96571855513991,35.95868656036097,35.89013819222852,35.97159715654638,35.325997874240116,32.59389332702268,30.691877313196514,32.07486008864007,29.18813550976064,25.13292064508185,26.890648883719802,28.782078989762137,23.348100117443774,21.79943614201332,23.363528660399904,22.25036393203892,18.13574809111381,18.500534103484494,19.34393789041568,23.05896706691305,23.645618696056594,26.089232429257237,28.102654244311495,32.966412036970745,34.88085791123309,38.216036946829725,40.69886660932855,40.52296166872145,43.947105667048916,43.29874270747556,46.93287292749041,44.32251610628514,39.627646062669086,43.50077392808544,45.79808942073057,41.262057304553316,40.730552257699905,44.80646057864014,43.10606070807318,38.898616538648,41.1021564365129,36.8476776017239,40.98343795697941,42.77904856101479,40.72991882048108,43.59714926536641,45.04703206710068,44.082942823971905,40.13324157803052,39.78336450501317,41.09468910098429,37.68022914134489,34.68639342658116,35.57732864902784,33.97990925451216,30.349620161529558,32.908710085343124,32.810646203380344,28.368612045366234,28.246796227077212,31.40267379104668,30.881663822589854,34.88822926480763,35.963482554019556,38.73522870673068,35.148878064526365,31.303921350493713,35.95793177758917,35.32668253295751,31.72035142758874,32.8036042401839,37.44990299795107,34.011100548173985,30.401934538719992,34.70845269158356,37.2819320976106,33.683728045229664,30.710109734103025,26.402153194419142,28.07009656731644,23.67517093602045,22.677439580858984,19.596958487673565,21.788218233197654,19.307887778510835,17.79163800739491,21.326403787599364,23.55970979145863,26.499859173615206,28.118430005146433,27.68326843842693,31.957814034529054,30.011227116209998,27.64740682029143,32.49596372042145,32.50482275778243,34.26569792628646,29.815925263816137,27.044037431261643,28.416824188543604,27.736446831556176,22.675648424353035,23.839113493923477,25.43622456482935,26.64232925549332,27.469361946792837,27.779303473316556],[17.167626387597327,17.616956656866645,20.997866159321735,19.105510186226994,24.69063347599262,25.42356248994765,28.71334786333629,32.241463023190754,31.905279401827492,34.207247118642265,36.70179305069633,38.95600964931722,39.423624104097286,37.57253278770339,42.56561210256798,44.15567362142539,42.49961510841327,46.70365565139389,48.375366291177016,50.78619755875093,53.65242922620698,57.080020719551094,57.39278992448078,55.78045123062268,52.91350343813344,49.62815574767176,48.107756066778144,44.962100670299506,46.43496664247413,46.22587247871004,49.61683402403687,48.86809591668905,52.313888229716376,56.11236837842047,53.80393762916371,51.926715481209676,50.76760004699341,51.0305721084445,50.03056426545297,54.9824089398434,51.59962547045807,53.55081697405337,57.74506415210254,56.57910695003231,57.830079325345615,56.054186724415196,59.96905111152195,59.8229115578532,55.09387660222367,58.502628849698525,61.469695900103865,60.92683430564544,63.81267455226642,59.02460986420441,64.15249548850687,66.48494184586278,62.60380651882174,62.58060859977587,67.39163455054872,66.64981664025932,63.41402860477237,64.9729284656241,63.30644277770026,64.61337663391068,62.014299625395104,58.614736020926514,55.67505063784561,53.09022480321533,50.05752813068317,48.11631412069935,46.8811544486492,48.831347275909,51.31965235717902,54.73723506793783,54.255465088286634,60.433220312887904,59.36934959629225,62.339675837794765,61.18438466688913,61.72465959117835,59.67493004960607,58.667421424366275,56.036662999339065,55.98108986446454,52.91317263052833,52.606872211698644,55.007336239399706,55.94047446811689,55.82560880612503,59.059645667191944,56.6789119892341,59.49042281047635,56.013098327816884,53.91775062456771,49.190279191594946,49.241305293622375,44.935835526368,47.47573225539953,44.590841863965586,44.99937710833631,47.539554780540875,45.617215939929466,48.11409146667833,45.12315388159377,47.629319306760934,42.26881392226604,43.33177752758837,41.81205021977007,37.338477207365855,38.34677910919234,33.897631437376724,36.065377357866886,33.82680780376627,34.670479378079385,36.162109157771674,35.98334881725336,39.69892004505333,39.66695729517274,44.476170217118096,43.1711015289973,40.00304122547367,37.23965286413959,34.1804720693689,32.39910056849409,30.44939459804082,31.414192903318263,29.12266026897264,33.14314835882969,34.72625106972472,39.653752850959044,37.414312203557714,41.34938128445097,42.75981999515491,44.66599906543359,40.84026019536918,38.0344929561067,34.06131725192533,34.32171087535636,33.699766633727734,37.37846103585744,38.72653421188638,43.636414927245326,44.033805958360205,41.82100510259145,45.14947065170098,44.22854497734543,41.0122344227095,40.42777664733702,39.41046690893754,36.79831867194662,37.01554059555198,36.67363530703071,40.201913132259676,38.666075861165034,40.98937107676972,42.41492328871224,41.31825606194291,41.350370066495465,42.96400373580315,41.69773533049685,41.53487354037118,45.23792549788339,42.92329582552616,47.47659243917821,46.40189410262118,42.99082840590504,44.29195429968087,44.85812187801195,41.40924548975401,39.066394248224626,39.77215581056193,39.36131813612519,43.748259678168345,45.58645043542563,47.282493689066065,48.15746964882279,47.61677893095508,52.177291552786905,51.77700380089856,51.789739487926326,49.96656392356906,45.614415310964276,48.90464773096882,50.84273383767138,48.59330151380511,52.510299298554116,52.30033382514516,55.69269459649948,53.02652521277931,53.84631541550156,52.85376694933611,50.510092666300096,48.52723619336338,45.76478367815415,45.16943008127951,43.718299958212185,39.08400230219821,39.52524073258282,35.59755871814072,35.884083774320075,36.071413245983734,35.76777616791839,32.907652935059495,30.800196765891823,32.52776582624587,29.858758964460627,25.327865161618348,27.2846369577348,29.733852113529935,24.257682242715656,22.513554895558777,24.404131209580278,23.66206915105845,19.29793085629058,19.496441500222915,19.813942185351987,23.934852305686825,23.515173727225612,26.27899857719738,28.594352421308834,33.22583195766404,35.427757207409336,38.468641910482226,41.14368875527849,40.86856271657385,44.322642025846406,43.70168729326305,47.11912505371116,44.400895629982074,39.6794904730367,43.527689214805896,45.572979684258,40.91760735861335,40.41671806286403,44.400040829409896,42.4135844201584,38.19593035377391,40.436312028106315,36.466394273746054,40.885707096927234,42.81236163695357,41.064151135448405,44.11938844191693,45.82544226955104,44.89448360890151,40.74761245317735,40.671973223825425,42.21391106278847,38.6793004796914,35.636703608817044,36.88452128006681,35.436370619811726,31.623548816597058,34.22982463135022,34.43706416285873,30.07620004207328,29.68731248118021,32.833697840537425,31.998282304595833,35.901737421824464,36.812747071205585,39.40304391983834,35.86368079912186,31.885009304681024,36.33202561486158,35.56461034651935,31.930384738296638,32.774609735003715,37.31634466977673,33.725517479761756,30.013408676847366,34.19945531926513,36.69347063399989,32.9373136121334,29.884648519206998,25.607466560398844,26.893240944720482,22.382779471758322,21.9365466940158,18.89682659105434,21.600621688706656,19.482520372536865,17.223022070131062,20.627383354067327,22.49730988557366,25.595392958178692,27.674154958508666,27.428260425317244,31.80871793041782,29.989321955512903,28.05027828408767,33.182550795006655,33.42348082339141,35.35094349556774,30.723779222092745,28.09476014883227,29.849117227829083,28.959757690643663,23.872177355958478,25.346476637784363,27.29544843969654,28.577695001549987,29.41882745201923,29.74120106951946],[19.042458564564434,18.813458412265245,21.44248672274846,19.45205811251539,24.531591903482035,26.298963295015213,29.461235757695828,33.27423257622313,33.21319665700432,35.23267379056917,37.99123169422321,40.373216259372434,40.321600279318986,38.56308267137876,43.66954957370131,45.0820120407104,43.06374615517058,47.21156555316537,48.59460868414265,50.87746529654666,53.604571396215235,56.85698382192172,57.065198569778524,55.24145169622322,52.43644605872228,49.360616063351145,47.859333732906336,44.96436418778084,46.75078059317344,46.781328926062464,50.51850591151655,49.77088971482242,53.43386308519348,57.07052367603598,54.520630549421355,52.42703140331235,51.23809047585308,51.09958401485664,49.82838322806035,54.56330443945988,51.022793928793554,53.23802661659098,57.34757912568738,55.912625343532646,56.99805472896646,54.98178199777293,58.82294356954486,58.91934029621748,54.084774644942684,57.25921927186049,60.45914150186188,60.00823884025643,63.047518917523256,58.42891556205493,63.720411261488316,65.93933250807646,62.083235703342105,62.37714885019044,67.14565345262864,66.1775916216637,63.17511215000203,65.01806231425128,63.58132430063208,64.74389469045452,61.95734914354605,58.693452084354554,55.88488000648404,53.528913729399896,50.53158328793889,48.899397046398605,47.59377571901402,49.67026387083401,52.20354529903676,55.35340631958951,54.98852191630245,61.17433213824825,59.85273157140149,62.99149289461101,61.627270242956094,61.91828018383764,59.890544745530754,58.58003516131527,56.14143690148006,55.7476523653355,52.575266251689314,52.60095840480746,55.04217082284218,56.284532146535945,56.180278485108076,59.75154051550293,57.45478648103729,60.44529851083508,57.109708350686674,55.1398224224721,50.39722794846499,50.70589922954032,46.36624752342684,48.81211956468509,45.93901257559758,46.53714297280663,48.61796674297857,46.5902181326091,48.74955276049755,45.620025169192445,47.66856569377634,42.305994734570405,43.25393857753096,41.38446325940186,37.00982512875166,38.42112504438617,34.033503006299156,36.11277494033977,34.22788988757558,34.7172699166182,36.48353925691705,35.96261748134519,39.75002143448588,39.38716444476476,44.43146933944255,43.479961630108654,40.3149016445045,37.691029401446464,34.267685045051515,32.602997687549305,30.844428115971212,31.240232705921652,29.15687922634457,32.8391391569375,34.28267072818924,39.169206783013266,36.469093762180535,40.40080497576017,41.607949136301514,43.91169714321908,39.840005070447845,37.284889277333576,32.92849250567471,33.42226580016595,32.88906821357362,36.68105041285115,37.79952562092314,42.685445126824796,43.46395824079924,41.33370169336329,44.709581966206045,44.17314314827741,40.923840329519855,40.65799436310424,39.68193992170239,37.44117905326346,37.74736041809219,37.89937495771959,41.499555165198956,40.48040202666737,42.689674310470515,43.75241043826036,42.41462730799402,42.18388537294633,43.637970701757396,41.963664953415645,41.37240599089002,45.173330336452715,42.42498990759566,46.99836828731415,45.47591841685463,41.792968608585916,42.924081421988156,43.158908246213926,39.669787042545536,37.561017696463686,38.46179173271342,38.3841686336205,42.961400137758105,45.06356607834563,47.04333715860354,48.17384513594822,47.89885255956345,52.421862015155796,51.66849239591567,51.617627539244765,49.40749868981065,45.24260374868942,48.12767912446179,49.82301591011957,47.585704047096165,51.58340079072519,51.55102867697745,54.62931054091915,51.74844688114539,52.46749864145455,51.26138540139878,49.14549307686474,46.979869409965545,44.26299682141372,43.67449175797224,42.10270055985727,37.60985674586604,38.20318711112671,34.348904889238476,35.121988898330066,35.296172747535316,35.47206249543598,32.569258253464966,30.103219297487062,32.168053093901925,29.900041798316817,24.859196360421304,26.886030381097168,30.00202651851372,24.661285470883787,22.61777416057087,24.807755447617247,24.648843553991366,20.111629762335912,19.945916455745188,19.593971784788614,24.058880777572842,22.377864897817197,25.513749426158785,28.13825354592358,32.40200561749381,34.935834095329035,37.57756650643872,40.48776915820663,40.12462660396149,43.61511153182432,43.0978178074264,46.20306772238926,43.32503526807563,38.66667749732174,42.49392762846611,44.17024690661161,39.404644329800945,39.01428159809417,42.88870458304406,40.51367290811059,36.32412163756076,38.725999722429776,35.08091342660397,39.887169773931426,41.89060183622151,40.478294257761895,43.78461645621036,45.755841724445425,44.967199854599926,40.5907803640062,40.77057847313292,42.659918750459475,39.07140634886522,35.90337810470516,37.57490764051063,36.38423087399543,32.35103976801882,34.88871175861823,35.5076459952348,31.346182076142835,30.523148631355962,33.5785395224634,32.340793085903044,36.075677638795256,36.82086290101638,39.11087088824352,35.62080555514716,31.578218343190837,35.72200360993349,34.731951340199934,31.107980304040822,31.718631754935316,36.027675553431564,32.24541623277758,28.50831775784068,32.54291309057249,34.84747095186211,30.919204660839505,27.843632783867562,23.704573285894277,24.458350497995028,19.91502471725084,20.088781897221814,17.287474909669687,20.590597117468146,19.13215139313374,16.055416115341817,19.171601681892895,20.47284685863957,23.763005900650235,26.323523987960737,26.515741634310384,30.968700166498177,29.513319849504498,28.027190860213675,33.413745154251245,33.84484163649727,36.07946698909769,31.375240562996016,28.804515825582836,31.051571303225337,30.133811093369122,24.993921429111154,26.6428980126935,29.058426885838,30.47149392000738,31.347580109466797,31.698566502201537],[16.19767410098263,15.221423968003576,17.19642088178441,15.053696462151775,19.85493821668402,22.123988188887722,25.224128245482106,29.15067915972909,29.40784877903036,31.366330290125134,34.336362905203984,36.647218539281184,36.31323645742776,34.845957960435214,39.964104891492006,41.154109782525765,39.04759987579271,43.26057328243604,44.73332386240019,46.77850562327945,49.60123492489044,52.707105535735536,53.05128194112635,51.25762339770981,48.32571111160139,45.357663452594004,43.65596215963082,40.779617200222226,42.573469742058016,42.570558305175126,46.636390448113566,45.67724035584606,49.475168433661516,53.06705739671554,50.35719323127775,48.2521804678532,46.899167725742785,46.72530419463855,45.381069554903334,49.97650140937579,46.56769060677919,48.92697387840408,52.972130320653896,51.52852335991743,52.73720141065509,50.7332530946989,54.554251303903676,54.52648952218662,49.63897629615352,52.77344776912551,55.90211686655229,55.3813097442244,58.43593491103959,53.829314275709926,59.10007208361416,61.402266827699414,57.61824628716016,57.920391759365906,62.691069786265714,61.79813335912696,58.897820642619166,60.833156684186406,59.46266473874882,60.7444722859007,57.87181966339126,54.54809926359617,52.00614795222464,49.635879061213565,46.87656071991792,45.32068621650181,44.16639897953168,46.493614770331206,48.801447463038976,51.80443121092263,51.2504154185405,57.413655653958834,55.840814700453684,58.96204770031976,57.431395507393,57.5908319543321,55.447741604752174,54.017128373039746,51.54875441800524,51.05615491560095,47.91893394640421,48.04491401753934,50.61073717836787,51.88110373773322,51.954935540998775,55.622218746161025,53.49722301682655,56.67577350640242,53.40311294165009,51.41473657353008,46.67306396685319,47.22517144698856,42.87623026474607,45.03111443957815,42.101789188450404,42.73770109773228,44.49682902755412,42.33604701111553,44.33232585850363,41.10628981835883,42.97700930054194,37.62409760527483,38.583320609229936,36.64553463626619,32.303355731185846,33.78696909919106,29.413966927529156,31.457825044528903,29.766002997764407,30.20908483560967,32.24872333974256,31.741051930367373,35.6322801389443,35.35686309478381,40.61335169953806,39.61397036238235,36.58157506712178,33.89036689996317,30.390412255673823,28.537254850199133,26.65411174663596,26.714164290299415,24.530810003600244,28.10521947335423,29.500406103007528,34.37254715137807,31.66586411609108,35.63038828920759,36.811819253297045,39.09433904325968,35.03197445706544,32.505040622478994,28.14508413209255,28.74800737093187,28.402028042257292,32.21035093494118,33.62864914587413,38.5077140381989,39.26010811903059,36.99442225114955,40.29179232094458,39.78489394243164,36.51712653641586,36.24292264684391,35.175740052936256,33.10523021702681,33.385673284798315,33.868273982506054,37.48771616825501,36.921395092217836,39.0231393666704,39.77314492526205,38.3083499205583,37.867196652807536,39.292452935651376,37.37986080926117,36.71327425402223,40.61886901312667,37.86348448661161,42.38501476030048,40.82494606049564,37.243505698263874,38.27105594291441,38.650706591212554,35.111957093392625,32.98925356740906,33.768328928257105,33.70613561295967,38.23086185518116,40.3228492663743,42.34789797913329,43.503420803172965,43.369319921275746,47.82363136742843,46.99282901745727,46.88615049620289,44.63934659623975,40.46390549201857,43.309510979849186,45.016220277542665,42.79982087944866,46.857130512177996,46.907447485646124,49.986034451077074,47.24887076740304,47.85399929661647,46.66669917409443,44.45015948350759,42.288397186954576,39.54155302561869,38.951910495259405,37.45460057838779,32.90733958633487,33.551662692371046,29.765101405134004,30.47733468108678,30.90136079520901,31.07385351690609,28.02359427881721,25.72275809903635,28.054793821256617,25.706689897246036,20.49704792655335,22.951645170419138,26.324009772241393,20.811659443582524,18.967686627367495,21.642180055763657,21.437585969365436,16.791262577209014,17.213414701547364,16.407917898703396,21.5633842492061,19.504012457879078,22.25119454460681,25.269229972677184,29.540864098273108,32.501957171656755,34.81017792425755,37.42427560848496,36.68810904091292,40.00391298054227,39.162728670807326,42.3081703995249,39.66340838333621,34.70423683526303,38.36509851900264,40.23943534935684,35.498248755015574,34.82405479018832,38.636606508426425,36.56199119833643,32.30891663731114,34.320051461615265,30.705972754978202,35.34069079539194,37.48384265005921,36.24855248261556,39.5078408791325,41.71591936575306,40.730960281563576,36.287626831330584,36.83203086423108,38.712710305472925,34.931351226452534,31.934646002945346,33.93074398356035,32.77704336487406,28.68551666206203,31.54549878104397,32.40744470999925,28.264660457896326,27.53001538698156,30.775130027888352,29.285135478411757,32.82353967425499,33.16453916431512,35.567947571406044,32.44564111706376,27.98362705745264,31.96436522872835,31.334820009693225,27.712923763714134,27.834561327230485,32.463469571727224,29.068966251467742,24.894575076060843,28.68445998419211,31.459451944502018,27.832878387425904,24.455999268956653,20.047536236826033,21.499958685173752,16.821316287196463,17.313392561652254,13.63112556663295,16.637191862782235,14.91285783770175,11.653826414798713,14.726672902168751,16.334993427854865,19.38861852979653,21.952168597769216,21.81693738283118,26.26243940413565,24.746435432779286,23.458408485775244,28.95229420732436,29.60483938798333,31.857571354343705,27.060048364372534,24.703392083262234,27.249444753381123,26.138762186187524,21.08318024332858,23.08876680644395,25.876035359908315,27.420979780216705,28.403639960348546,28.9315884721506],[19.70876527433961,18.448857569181747,19.87900377394785,16.89433933772438,21.19980995589975,24.01580875385567,26.646056579237055,30.867403756831397,30.84647338748692,32.23129922261868,35.254470580322625,37.94159264554401,37.10240194604169,35.310671617347765,40.51582459575415,41.756073739684,39.244001239002216,43.226355938429315,44.199179588535856,46.40116548746446,48.92061247273501,52.02916048251568,52.090518717042755,50.08294598228385,47.37620333219961,44.4768820773348,43.083210463499114,40.47593956159419,42.64052789861153,43.064949535128974,47.05201212759212,46.513977417114575,50.40583641432127,53.735398635866545,50.94731340710105,48.530350582182834,47.48920404131164,46.787097150622,45.26832951037799,49.90126693199842,46.07886700393164,48.42407193338716,52.47488495673139,50.81166161710096,51.69449490432737,49.52728760481039,53.32543878527828,53.63958455940504,48.803937829887026,51.88242880931196,55.26468044678804,54.97314703708626,58.08312191738897,53.596459858099166,59.063382906032686,61.05394890006176,57.15107252691998,57.75837578593001,62.46311322759144,61.21237474148203,58.37316019472779,60.4618485615973,59.26825370283572,60.201942804917195,57.253224175072035,54.18126373576099,51.437688869257926,49.37627187306264,46.38119730106281,45.14513662885591,43.73642753722079,45.94906998015881,48.52575514943636,51.32913111524531,51.15978892401156,57.326694867838455,55.7672199921895,59.13524127623543,57.59724959648886,57.658116214057394,55.806820977526236,54.25871816351637,52.18869117593401,51.52268748910791,48.14357197383866,48.4188805389799,50.7190014822911,52.370766734073186,52.08332098706407,56.05648937032276,53.77448278893034,56.91421941671926,53.798571361422795,52.07290875746386,47.35237714128907,47.98261558868608,43.6321129412178,46.10069959296751,43.38537821957726,44.50851439209554,45.853706221871,44.05256113188619,45.59053985814909,42.64988308262444,44.287411590950995,39.05770267790657,40.27767132914655,38.128176903469544,33.94181045688895,35.542853978001396,31.115994760680213,32.6219434673378,30.922868527865774,30.777101963569965,32.57812648805945,31.579608151025326,35.34080533043454,34.575862167695995,39.765316411438185,39.242463239590265,36.08273186503043,33.69159527760065,29.883323673868343,28.477182848647026,27.14349039839931,27.070136980380248,25.77570656910902,29.011635972419928,30.634497389026553,35.43303147454335,32.56661695577256,36.69283940811404,37.38928781459508,39.94353662442077,35.43864111831051,32.889248753921855,28.39189572394098,28.638825248041076,27.919249795005523,31.74776732161662,32.47739896684097,37.31685334462866,38.40719048829421,36.44772047078878,39.90305980671272,39.77765286945922,36.54263061738028,36.749031275667726,36.04831979605578,34.28996083336777,35.05485084847978,35.73291271621348,39.67602504929888,39.365819777610376,41.085286470668635,41.64195301963728,39.812157458290415,39.48228823561316,40.44326407068327,38.569850541969934,37.310624028804924,40.972093738454866,37.731807813187864,42.36322195612946,40.52868433947097,36.562458114441725,37.82324899946946,37.79275166037272,34.454415003432004,32.31896978224231,33.49980943079312,33.50860801963702,38.30372266449814,40.680166904326725,42.887945368713055,44.406676459546915,44.20966556315681,48.84403750283836,47.62789693353823,47.70346720576339,45.050819537370174,41.309904836603934,43.900533538764705,45.36613455846093,42.9612569958323,46.7668095506236,46.68409928867707,49.553296351834966,46.38351680678897,47.23608549537645,46.01657849216119,44.11221514841346,42.06793865913852,39.552247043043714,39.22548913803499,37.89539639714111,33.46748003760417,34.566280912904155,31.07844469157621,32.12731038192512,32.93855923176791,33.383571943170786,30.11318703222965,27.904721343100217,30.68051912870702,28.43679995806522,22.92766730314938,25.77448071951268,29.547638772554645,24.002013537449443,22.265240417520186,25.221437339136237,25.083501293472494,20.411865785917264,21.000624656659713,19.8367386484368,25.204222906557764,22.310387622150333,25.185410455175504,28.47841419857052,32.437250320767,35.66325867538505,37.61328232340901,40.3186461107312,39.38778186281219,42.619755478177666,41.665505767261266,44.57898718648423,41.95766992715039,36.908697944183515,40.38526406482583,42.037520523392196,37.23510059688868,36.447171051720794,40.024915700845895,37.75307330518745,33.51796335027098,35.260250378982576,32.182796095983655,36.91615762262651,39.317798674488635,38.539909100969695,41.86985592481563,44.41295296496786,43.284920060302966,38.72048024894246,39.71627234164052,41.66471515539943,37.69283640497688,34.88343278274421,37.197096633530954,36.08096290269786,31.971733748641697,35.00984758898552,36.040323135643305,31.92018508113328,31.21518688058293,34.484186868231696,32.79857049654154,36.16791332755847,36.23784660105817,38.52846991797534,35.61413216965375,30.987562523554306,34.64476069520667,34.035133856319085,30.46749487445868,30.139608456020504,34.67412542437379,31.29386016028928,26.96029014024834,30.36011556294251,33.14671711953439,29.471914517384818,25.975759641107594,21.694032511879673,22.667905491026087,17.964778026006446,19.468152389305214,15.853968440569593,19.17648130532,17.69964025000249,13.803235190339848,16.36610494513185,17.437026216181607,20.42275923062901,23.626918252544645,23.341043805179165,27.74333177963937,26.10319648860392,25.54146428392408,31.21928583299599,32.266518474229116,34.43413169514323,29.389898804723458,27.505419395060283,30.243976402228643,28.602054309972587,23.874137269666512,26.380128973525032,29.28906359400867,30.872922267544567,31.871808767436452,32.46912461201305],[20.869215981817355,18.87081420138318,19.15560168549513,15.89300095228534,19.119440932294186,22.994014095829833,25.21774607833908,29.642870877216993,29.90261314759838,30.864254085267135,34.13041403215082,36.894113513338546,35.42717717813222,33.83569435159692,39.043514923808495,40.01990238484596,37.14968542420732,41.02278696544537,41.73473544572841,43.709422935489044,46.108951478277135,48.98836026125816,49.00945251116442,46.85010342184564,44.16356135778352,41.51279502011147,40.08302747792075,37.751511053920645,40.19615622687976,40.86278384757305,45.211122699593936,44.65451162176485,48.74629341253826,51.84721321385256,48.81388664276963,46.195546923898355,45.12669174754254,44.01156802058067,42.23855722756199,46.625926099570414,42.70069327297809,45.28555299385643,49.21730033018159,47.33804956226034,48.11591977418196,45.77544022962711,49.50166740578396,49.962894529289336,45.05626255349939,47.95082585608898,51.47838840252478,51.26251138599398,54.47352486484779,50.14396007812017,55.72150601882377,57.605328424240426,53.75070920048681,54.627598114891896,59.26592543805305,57.84448236189583,55.23841643394216,57.58748500143336,56.62787170963441,57.464409334508176,54.340942459629915,51.392537926567364,48.88008934831941,47.04453188462878,44.20774226004025,43.30965914116754,41.91804019682715,44.331085393173865,46.81144716112423,49.27429764082982,49.14111046853428,55.24892871552835,53.37813587589263,56.87460097977411,55.11020085259607,54.90874342057123,53.08814122392095,51.25886351984982,49.41826362662563,48.44171359768317,44.97221339758203,45.555115367757665,47.86480788824332,49.81706856268201,49.554518426601845,53.8443152671432,51.70431770282274,55.0412193818374,52.11800495377971,50.53838369161542,45.86656680641308,46.82345977117165,42.505362041036065,44.77461553029111,42.128152445771974,43.50917333172809,44.24142371814406,42.43346813260859,43.5013354588236,40.55528615423051,41.71872617608679,36.610900708849215,37.86674586682046,35.43576685780242,31.461311517659258,33.33977594344394,29.0335244646019,30.212294391905424,28.896551183080287,28.291477869087938,30.340850211619113,28.997440958056487,32.774272741251494,31.724699719021004,37.13488725266154,36.93645865776188,33.89036255742879,31.667505631878857,27.561463207233437,26.26669603358586,25.187018161236793,24.448089481747,23.599063451425767,26.318742016650504,27.885404183436606,32.53116291458758,29.390064649076013,33.5530207006958,33.906646891732876,36.737401044452774,31.974534638974394,29.61127922238521,24.901395029472244,25.2193489666709,24.572693622998887,28.43513750259315,29.006686977195464,33.76540166212165,35.16944114868192,33.277387572791646,36.715958799633285,36.96954102361179,33.75462825535434,34.303969587521095,33.699789570449376,32.42257496568783,33.37370342494025,34.60055942613624,38.62369375768239,38.96981641719621,40.40580671935041,40.491526711805754,38.35766440687207,37.78152369287618,38.46073500464039,36.23351790406858,34.48035997467744,38.14190610589768,34.51142641334799,39.107608418102416,36.90581118027611,32.74839105968038,33.90872909661829,33.648663931061456,30.340552820432965,28.335700096751996,29.688039103835752,29.93368167797381,34.85423333669439,37.45578489295107,39.90006796778203,41.69179323087552,41.722759929446674,46.301190056895834,44.714958411854454,44.7805900867702,41.76752670815167,38.317907644544604,40.541284028645,41.785270175775494,39.34546784490267,43.12055539013747,43.152589272572094,45.76138796760865,42.44872111317793,43.24269923562726,41.9159406076665,40.17845257636536,38.09675970217755,35.68839699028329,35.47860981890929,34.23109550309045,29.92843154432067,31.34157281840718,28.14302423487775,29.518786488471868,30.67798574521583,31.45554859383649,28.03730940933382,25.893259248541558,29.14756231201,27.14383853120748,21.361045963470584,24.62030982604936,28.900332570984542,23.510210198080838,21.927261852115187,25.30521631365568,25.403682476930076,20.847397362859574,21.70554423409945,19.915010302548833,25.6601339204957,21.810869190152438,24.457413392706034,28.146193628236315,31.711636567002603,35.41146610821423,36.76815972531787,39.33481805166977,38.03186703304115,41.060415535334386,39.8749012173762,42.5482757115721,40.08361546094694,34.872456910920384,38.07434454137992,39.601534549290875,34.81352871505769,33.807830555614366,37.13054790196948,34.87057623729056,30.664340849621688,32.0055528118488,29.408328946265236,34.14953156068137,36.77606311612847,36.49565291511617,39.87988346171476,42.813894156063775,41.56484126043639,36.87162066711399,38.41646244218018,40.504239243835656,36.368279681399535,33.76241757722303,36.56407544464476,35.62398449151921,31.479030440134874,34.69961709171153,36.104011184622706,32.191241892867204,31.403029570846435,34.68297898698293,32.63494636389248,35.648260233525434,35.2500922854545,37.403980518080395,34.92356104294267,30.019047839129364,33.1920436334292,32.78378856226453,29.34162184046946,28.3455956487289,32.875954388497625,29.80671962778309,25.17290707523188,28.020995050662368,31.052263411677718,27.61494287993874,23.9093739547855,19.70262876153267,20.749980362786143,16.160751816790114,18.625635952893482,14.732347951803627,17.96646588930128,16.836323642701778,12.451910231988236,14.235674614872517,14.878955564419163,17.54367868344249,21.21322962469372,20.804480026058176,25.070997858684066,23.56796780328005,23.756924999709813,29.534019968868893,30.969104328294083,33.20998417799795,28.10705670909909,26.65582401739367,29.815841520772263,27.8911727178858,23.519288794084556,26.415088705923623,29.70844904189089,31.395717670562387,32.461325519002735,33.19172662428506],[21.118617803416434,19.2066386404617,19.576987928532674,15.172950168778463,18.493395616315585,21.7064099849438,23.423454149836576,27.946484808926627,27.54672893318925,28.0540978985702,31.151108639821274,34.26640967221756,32.67928395397085,30.597284744129723,35.82529415256469,37.040257111821276,34.071910017005465,37.77279309205493,38.28114576868646,40.59800553983,42.860321094526064,45.989923831909195,45.849134336302036,43.746560428067276,41.19231765106969,38.30369504318817,37.17768816728899,34.79289543591556,37.2871925068226,38.176655884266886,42.0657265310012,42.00497658110951,45.99366343989666,48.962273993604406,46.09229145612768,43.344968638662344,42.68798994912916,41.444014098539895,39.82999803536272,44.61046297360276,40.399141730943356,42.58839922456391,46.670696353600405,44.92672691615407,45.59205165679186,43.44209545223083,47.275984654835796,47.7368140528121,43.047089368172365,46.28099099205488,49.7277443831551,49.63974412981666,52.675632588084966,48.21588963449135,53.795939554528935,55.482087104413196,51.43452821693765,52.21434488956245,56.85508297541855,55.336758654507456,52.46476274976409,54.61557071798151,53.55762930268745,54.20388815923694,51.218661200495696,48.35360311438151,45.45129941991719,43.665934070458555,40.52994988943993,39.637114793989284,38.05347069208265,40.26935677724656,42.96968932493247,45.503740700901105,45.63734364518718,51.77056452029278,50.18299506880681,53.775871026165376,52.238492301587875,52.23236299976477,50.726220494642945,49.16301462499643,47.551897955531594,46.8462554227917,43.20956183990247,43.488976991985794,45.41936627880933,47.43484415634644,46.723179261278155,50.987006594932744,48.564924527614664,51.68804629553909,48.785230645822246,47.37220952039857,42.723147297407934,43.5445143503708,39.24383906831842,41.96317487226167,39.561189093508716,41.39253972018614,42.05550588838895,40.851401584663236,41.716230577084104,39.34119377571512,40.842886210022456,35.89994479860724,37.73540579125964,35.563656235678756,31.640309757181413,33.03562312478892,28.528278251307405,29.06008383431959,27.205462063804465,26.2925677565772,27.664402692407293,26.150527623640127,29.714219200704697,28.537186080386057,33.62769891770583,33.50738303165089,30.29061428315674,28.215757069322166,24.13668717809922,23.207202649068016,22.567877350547224,22.459276566656843,22.548182243296647,25.345705019689042,27.497396462547094,32.120823765520406,29.589578205333936,34.00392968867122,34.03243513805651,36.51205188277831,31.55798144987478,28.68937442280026,24.519834700651874,23.864239852740944,22.529646117537844,26.255151060838216,26.366874596300708,31.171693664621262,32.36836212969459,30.694710834085008,34.284432331592164,34.44186423247134,31.288527268544808,32.00935003530624,31.83199124538293,30.472833943541083,31.989994430728558,32.91092814398761,37.32835392549304,37.52599234297226,38.52902839539024,38.70235368843539,36.327660149829676,36.21208509205517,36.458722227905625,34.825002734810234,32.88790485104574,36.09458122217382,32.48073502578072,37.21717668248052,35.404411857002444,31.21891352326695,33.01901607600799,32.88114713397952,29.936444845667854,27.419122525537023,28.926222219728924,28.62252320001316,33.58685019631305,36.13155558162325,38.37514412624168,40.2778435448544,39.84105413216394,44.73207451808545,43.13721025614744,43.54840955095303,40.59302916051206,37.42588243289893,39.9903269470696,41.33263630694375,38.6065325732825,41.9018413535204,41.45921393843769,44.34830955096436,40.85193514782295,42.14572417751264,41.180466516557956,39.425915595917026,37.86113901923289,35.69341196294377,35.84659806149378,35.100744218492466,30.697566123671425,32.46957994431096,29.581317987848447,30.498710747389207,32.30290879653885,32.630121663981114,28.912076092188517,27.56608989841456,30.944506103756652,28.384491700952555,22.93793212607942,26.752156564367755,30.64375344598889,24.877153490339925,23.90913905728212,27.429859957754218,26.802218713726354,22.32188375922889,24.068555733843727,22.591419821108406,28.478233676973545,25.334647879560162,27.505016485046873,31.22326181676113,35.030801217519006,38.747520450917094,40.16348283919517,42.379239514766226,40.83464988122807,43.64938215298693,42.021390300897146,44.92485158454064,42.83744186051689,37.28745998228073,40.226893475257924,42.16710804075057,37.50735470965227,36.061922120817606,39.23969496462683,37.53766546810563,33.30676520723707,33.84759281146162,31.38699805462617,35.48976089243964,38.38287410099367,38.21181013693329,41.26456928686552,44.329400610415256,42.57300458235567,38.04148799299663,39.941145334260504,41.591624398648875,37.17831535409217,35.074219607540854,37.81162349076077,36.558011204983586,32.656098920607306,36.365768368632004,37.519996647163126,33.348143953040626,33.21508867010062,36.75792870343508,34.91169303882405,37.909656495670184,37.25644012125594,39.78525070515333,37.60968144172242,32.40422781740509,35.616667662635244,35.71388316977516,32.293051312191956,30.968814508415896,35.89569136142002,33.26776555478446,28.343692285885403,30.920740114485316,34.43565238618049,31.326030494676544,27.453388257424027,23.08112920978995,24.716416855211992,20.16247391548302,22.56660356779767,18.12280224574613,20.666184787455407,18.62009671895594,14.804423427664796,16.6012494741748,17.84956533348581,19.928107569516232,23.41550651697969,21.869744941638668,25.935827460471565,23.549166118375403,24.048056352274493,29.740653244347996,31.51737894617095,33.17330388038189,27.782455245550583,26.98398381663813,29.844925876353017,27.109723372783936,23.283011495657597,26.79526257640845,29.825003512888916,31.46244650347003,32.55445024487939,33.41550309042611],[25.905110189593707,23.82433452841338,23.73737501116671,19.602816155706794,22.058499441515146,26.08927746585706,27.517481955121912,32.12562119651736,31.866899115575166,31.946795021932225,35.12971647875923,38.382024441637085,36.2585048327729,34.170332467610166,39.34453704196781,40.414818086439944,37.03102403861758,40.43520111846524,40.35913067427473,42.59673144421303,44.478023302478015,47.373994997687966,46.9420634421469,44.51314745799641,42.23220106181471,39.67568649472334,38.80714292378007,36.91682558241019,39.84947185601407,41.15491094845012,45.195160031945385,45.34414031232931,49.46406493762934,52.126248235023226,49.07196979119517,46.03428550469352,45.52243273481222,43.65848083010527,41.714661817257,46.18124132042936,41.64919729654233,44.061618897263216,47.97848437915306,45.8423282705945,46.10056451126714,43.6030193602438,47.27699490896683,48.2354492770165,43.53658874301373,46.408687429128584,50.22840485107719,50.39001531270018,53.584102057083214,49.44142169651235,55.21865626467697,56.592781146831705,52.55562032163147,53.82811456050452,58.32276384666176,56.38224049313032,53.823081515212806,56.311381093660195,55.58804885443473,55.877566195379615,52.71321202385539,50.18426832145024,47.328775178850094,45.98305861172933,42.797373189730386,42.386857759995856,40.623757935669985,42.79455618960107,45.648841370372494,47.78851012111776,48.262795475121294,54.292871386783254,52.52492258744493,56.34675039157956,54.64777147773097,54.35936198870505,53.05302474763526,51.16016191232878,49.96151731907634,48.84346550822265,45.053466546843,45.74480717822424,47.53822157304725,50.00574980050448,49.12955957892926,53.7770278623024,51.38367194865386,54.57403900589094,51.9167245742912,50.76207641578693,46.2059105727968,47.227818633232104,42.99883716126573,45.739022830180424,43.48821268536521,45.583080232607166,45.74877479495102,44.6009946445417,45.00332695585568,42.65089224980861,43.58981920363534,38.81411550650858,40.54731966465595,37.996821296862194,34.35152796285674,36.16063752445891,31.871841558484753,32.14318904778658,30.720621616096917,29.281207684057776,30.73998803201364,28.705025380631206,32.08902859780962,30.30409230776158,35.3841407127667,35.92338498732991,32.7524017048906,31.088148077775745,26.701498779076783,26.219869885408727,26.080804288536445,25.353417706480744,25.983295386471983,28.145654906016045,30.108950929580196,34.46970000557851,31.433453279065475,35.7441349263266,35.33323798214221,38.33182620264835,33.05159440326024,30.590821811686865,26.086075299083667,25.576429587820396,24.212094624364333,27.872045125617333,27.222681615949668,31.77541890411141,33.61597964936193,32.300850819030586,35.91340764037067,36.693022414315834,33.63932950267862,34.89330258605577,34.92208330734208,34.07559900858513,35.760932391145836,37.10293973671968,41.52912484200272,42.1239101882611,42.96489486873576,42.83244382348567,40.22413670195598,39.92791369781029,39.87551736153662,37.92465431346648,35.38335620415907,38.470957606794244,34.25744406010175,38.927090626302196,36.50040158016683,31.87542173069624,33.55081806822656,32.7295401048158,29.948906198978342,27.824815085745985,29.77711416752579,29.946929793643246,35.10439669248039,38.015059878637764,40.590968920087434,42.86715166105689,42.679062560766425,47.49749236835496,45.4185513442271,45.832465978245494,42.34482187824367,39.65409731565303,41.5886156063553,42.506864432345694,39.76563546447941,42.95190177474111,42.649536616450156,45.00155278363143,41.04353276437867,42.34529775938963,41.11206994306636,39.85648429236782,38.169403251750296,36.236871361468886,36.52593738809762,35.72259475464761,31.691097598551885,33.77592337264042,31.181873986444856,32.7514862796166,34.543625474018974,35.452744907556365,31.797898297347533,30.098648392567405,33.75460708294309,31.729778353040594,25.981719967999435,29.662425883751645,34.0779593439656,28.65869709020049,27.398586960444845,30.96666278230488,30.877261098193404,26.400314301876577,27.62319284794321,25.733228827385496,31.57823596383719,27.36821492801487,29.900072549812,33.75957991540086,37.05233005107317,40.982803501358454,41.96080610441724,44.452785037013484,42.87876771681944,45.69548726608267,44.24339543688965,46.68839788190208,44.430090728148436,39.094981462777405,41.92237542114648,43.30825708389125,38.59908579715706,37.323257947817986,40.2194844857961,37.98333595035905,33.92131691672735,34.575240074435214,32.78605138203189,37.273979864273265,40.237522277970356,40.53790213527728,43.82331091793967,47.140206333498014,45.57389296891719,40.88098418642998,43.016283146800596,45.00062063474581,40.63069902773591,38.435838344492026,41.49579152989633,40.50312791854663,36.482598909865786,39.989040206629426,41.45673378872703,37.516644347247656,36.97625733148663,40.334427342011416,38.19618682434982,41.008471557759485,40.25922366117955,42.39154512040158,40.26379310214446,35.17936899290571,37.97313648501742,37.76986511265095,34.46347628366069,32.922376066151315,37.37054270091215,34.55493023460542,29.800259878192083,32.02044371468885,35.14994716279126,31.896368420739293,28.145479939863808,24.233403732730586,24.929630251763683,20.661833151519758,23.892475275672098,20.13229174439135,23.210176975602515,22.05131251349907,17.680821435233604,18.855782811349794,19.08954469853383,21.20985067894563,25.27386600132306,24.344842196921796,28.254957786378395,26.398643928481558,27.50289400273663,33.22428010131162,35.148338680342405,37.04403788645228,31.745521071555423,31.028652841322042,34.19278466803551,31.53252034987249,27.7941610392793,31.237307451202028,34.46714022035647,36.1137425711343,37.148619253995484,37.946341572239156],[26.483965730099886,24.442571049960858,24.30709655642019,19.4321372968026,21.697723092673105,25.150640575611956,26.017934142436687,30.61850054681147,29.803280618087214,29.368919469012518,32.36232558790168,35.91053667055387,33.59913402323453,31.09449729029086,36.207327156126,37.45480655571772,33.95221440173125,37.119291283656956,36.78331492972824,39.31896796859529,41.02767454162796,44.13036743634869,43.53055813532727,41.14991124175971,39.02033670847047,36.27135647805229,35.721994313264794,33.84441422971721,36.84506356667664,38.39907782511677,42.0011970213208,42.632329552575435,46.64466089724245,49.12503393468725,46.216850718065345,43.047510125805914,42.94056156936626,40.908453379222514,39.10508687709074,43.895736202881494,39.10373875103309,41.128393509155934,45.15814120276455,43.14728330530745,43.28289460607302,40.97908051941054,44.73871845599428,45.696545570940344,41.236451997984105,44.420415095620996,48.143238694381765,48.42983732093024,51.441388557334705,47.20408091696633,52.96078431452685,54.1293938161384,49.92624330177132,51.121406206534296,55.5928892858304,53.55228696086899,50.763260604874084,53.07513551384722,52.28608485008887,52.37620108046086,49.33867403215628,46.91901041692775,43.71852372882767,42.467955178624045,39.0231084601948,38.685167480688236,36.73885417120778,38.72340203753494,41.76964800140032,43.90992079965696,44.65799961868636,50.671284797522965,49.146776577681656,53.06154431104968,51.56298652245302,51.434788816081515,50.444816084225806,48.79111747623266,47.845423512576176,46.964713165568085,43.034665371473466,43.45904244559333,44.86813511009711,47.41715713865798,46.11089264645437,50.74689437092227,48.112849462389825,51.10375909902574,48.51172117485711,47.550599607866694,43.06285554962622,43.9959725326772,39.83369843062555,42.94907507869324,40.968904301884024,43.500799831762926,43.51258461656436,42.94154629631963,43.0897338601926,41.29662055865392,42.48938718524435,37.93382871394977,40.18075991642823,37.87503878502021,34.338968264034385,35.7114568961978,31.327467456323394,30.96925459195144,29.13086437227605,27.35822540327902,28.154518275220436,25.91336549206894,29.007070037894344,27.04298245499066,31.758672549836508,32.449007220969065,29.158303665448052,27.725867501036756,23.385863383019405,23.356841598920724,23.742822183093512,23.529424286811665,25.091149343804855,27.192539525406556,29.638242829750638,33.886774757691796,31.443094933969014,35.92422399403976,35.20451692341207,37.847414395117944,32.444402844533506,29.56218458150536,25.651617911632982,24.229599493686834,22.21728834922774,25.644765415934625,24.4692489935476,28.99390605355965,30.649622617549177,29.598054076171803,33.31759417564001,34.05128194041286,31.10760054093885,32.57180135141266,33.02988674605124,32.1940664544637,34.39996080423641,35.514949371575135,40.242976666850886,40.78342742483475,41.18196444707111,41.0652276128668,38.22558184672653,38.32782411563084,37.83201425826058,36.42135111493065,33.68041465296969,36.28241601352112,32.08647272665851,36.832712209227815,34.78160446838072,30.170976217243773,32.45471587903662,31.763922391697633,29.385986010274614,26.79492070018921,28.87230703141346,28.519828182860223,33.64914213707744,36.48824022771857,38.865260027668825,41.252940878117855,40.64753571802873,45.71037887642891,43.602013732649105,44.3417631151318,40.9098789613239,38.54259238812464,40.75222282389212,41.74543451171334,38.75410605828949,41.4425099808648,40.68545925729895,43.279354237875516,39.165034376827165,40.94974860343099,40.08435081269609,38.82102379770513,37.656859941934854,35.97857418658643,36.611542732556806,36.29570119054225,32.218404889114794,34.605419199565205,32.325957048402614,33.47034275884145,35.82768289189596,36.343341071735686,32.46395907422959,31.479063674765502,35.22420556067791,32.75963185883428,27.356421917535982,31.471729127366483,35.552370012223705,29.892781619569273,29.153551878666168,32.83826618347255,32.179284841656646,27.831647612954168,29.762670490251175,28.08570324411453,34.05644550501711,30.410579595173505,32.50908127014829,36.40465752759891,39.89752381994408,43.86783281240308,44.87267440755844,47.02275810779983,45.211592490405515,47.814376119411826,45.95006379398332,48.59387756799881,46.703038849749205,41.06834744457634,43.635221104557175,45.40813677429694,40.84192954847582,39.15985377343236,41.90797754030287,40.229695074301446,36.162613970915494,36.067549840747404,34.40350570675643,38.26414449833052,41.452228418364506,41.86356220321614,44.828995845643284,48.26591409403175,46.243542561990836,41.7218959870887,44.19204009586711,45.78509338023391,41.191895687720155,39.46961513411054,42.488585772084,41.248864291341675,37.46896586089722,41.381529654558555,42.6586487426856,38.54915688464686,38.55591551411936,42.12196093856282,40.13732185786085,42.898957322595514,41.897432356009,44.34756158624575,42.52476464434692,37.17795305924536,39.97306750419871,40.23676649373468,36.96218512247153,35.11911298607599,39.91748233602662,37.52819370326503,32.51127711478244,34.48750290738803,38.0682433399351,35.14130044225515,31.23661360462645,27.16358368253907,28.459698315720463,24.19657673480888,27.31773510568878,23.046506111424534,25.54168724328106,23.693375184104212,19.808315846819568,20.96853186318501,21.717215457155028,23.331584590794478,27.164182804609318,25.2865910638985,28.93974976706236,26.36355025234645,27.770868648712025,33.31971976533581,35.54454876120155,36.916635718181425,31.448332408831007,31.34360003335765,34.24620740327305,30.915101681464893,27.76636551133306,31.682246486031556,34.680471203168516,36.26885904015074,37.30826095444199,38.21651924046993],[23.27487042580728,20.97659162068319,20.481505358966295,15.529231393986954,17.57795801086418,21.157010730948937,22.04512950997958,26.669094044274043,26.110024239254646,25.858026573343146,29.013499294506925,32.382728430975206,30.114868042861243,27.926250949665615,33.09075262218319,34.189119585264386,30.81727387088404,34.246008182801155,34.33376087887824,36.65118838508434,38.68523211392897,41.75208176589775,41.4569940255191,39.245753197598155,36.81112623800527,34.01192488276812,33.0758277500632,30.95552169013424,33.76101280457255,35.0488927345447,38.94556022326965,39.20596108242846,43.28458818880077,45.922910715292986,42.94363442437184,39.9276448450307,39.5333740523951,37.79633622615515,36.048745415721775,40.83939297264321,36.339043911993166,38.475688012752066,42.53375876647101,40.67602252736714,41.15619874700486,38.97762891851708,42.80973513453826,43.411042184785614,38.82219088264539,42.1075939500492,45.627101600875235,45.69968977500046,48.69965786731655,44.317156288304616,49.985387813635185,51.42956301828028,47.305015604352256,48.27729494292735,52.84510904480315,51.101243257419554,48.27792173886641,50.54223801450905,49.646715693675,50.06839760428121,47.012080833417656,44.33235040428695,41.39957895555449,39.88290993359613,36.71386793147384,36.177503194537906,34.48940693797159,36.76038195305927,39.49523649368195,41.72195379626341,42.072608036846866,48.137650742483416,46.44218102233162,50.211312781416844,48.61324558828208,48.485897806288094,47.228958736675445,45.58347782392013,44.35880379676459,43.54610159915884,39.72821445698036,40.09448541527498,41.75750634013132,44.099670398557706,43.10776308692099,47.64231805356629,45.18052185943038,48.33744072354687,45.649915620050706,44.49846594926478,39.94999061258108,40.99236422221311,36.78148244141536,39.57505486032234,37.43053667926555,39.77593800888694,39.806727375676594,39.00973402180254,39.28374291944545,37.317334541143666,38.57906702298849,33.936712678849794,36.16232086363941,33.943420458395124,30.33616764236821,31.632307713967872,27.219895426239525,26.96841361050798,25.16134574482974,23.56426465244231,24.652892948912843,22.64823479017231,26.0118659006268,24.426078796391476,29.48549888173812,29.775088326230755,26.580807716136242,24.832227307640608,20.49604135685884,20.020065534839368,20.04692819760513,19.700605368027595,20.989156613587596,23.205973172642025,25.6609466661187,30.002234474579392,27.699728566286367,32.221194273606045,31.69898739116658,34.15203615210548,28.895966920689307,25.89554889337299,22.034315130627157,20.688886889830417,18.88200510005441,22.466399558287986,22.007986825119463,26.74313683000656,28.1128942192931,26.69423229228482,30.357508678145372,30.84074914873609,27.787870091138643,28.990150865588586,29.226647832391514,28.321538185219268,30.377260057967582,31.5950017815294,36.25210080866788,36.945867531435866,37.40536302701893,37.195237920087074,34.41327455558109,34.37243112672854,34.04860556471353,32.50568239615898,29.975370115180006,32.80912935584633,28.839817377923435,33.60297475885284,31.719781577026122,27.3519903859011,29.52585935291082,29.253012043903016,26.662567632098455,23.914213134990835,25.698490998492364,25.215604657703164,30.27478650594671,32.97448138513011,35.284130848961155,37.51200511459383,36.97696753983694,41.981725317763846,40.03837070235477,40.67584662279708,37.439336447143894,34.79103252304265,37.21002908552267,38.395844878267404,35.45961858736707,38.35191734839216,37.682366682523934,40.5036234849205,36.750153693118186,38.34463401223858,37.54357147208165,35.952631886859365,34.74277027178916,32.881463450247566,33.40405952668444,33.102736882618785,28.841890374737332,31.106666099982387,28.76385769187264,29.641269203614755,32.10971304149873,32.43061030715206,28.50497754020133,27.75812849050963,31.494367522457683,28.881394117457862,23.635417675952944,27.927618595589305,31.87242047368788,26.212297922617385,25.72446195947612,29.498969536815686,28.692934620168852,24.503148277245668,26.786593323697737,25.092419503781723,31.12191530371853,27.76152877975188,29.46400525356446,33.38304515471327,36.95617079879728,40.96780757576802,41.95797075208303,43.843033732148925,41.896820965201655,44.386101662255214,42.336236995305136,45.13860026624543,43.43246052595102,37.64702674049831,40.148298569409675,42.206479324995534,37.719466063271064,35.85465935886964,38.66434678448089,37.35738014967141,33.23032238016796,32.902470613017016,31.006512081097227,34.60488309955801,37.80435801860529,38.12442866721066,40.96599621341632,44.39064112922472,42.252180148562964,37.786954484833444,40.32223255356782,41.80257354376941,37.16478627766764,35.571221044380636,38.611516848236,37.34610944584843,33.63902268380731,37.68236717617749,38.96971563772303,34.90133353693153,35.05382344863139,38.67569664695171,36.69829544142682,39.36339147564881,38.21551862867107,40.804781702883766,39.17115918229932,33.69530422658987,36.48112603524234,37.01945160802792,33.780413700000864,31.793142145791236,36.828413788399516,34.7457039336527,29.566623922723256,31.48152959921321,35.38298614937389,32.71853088424051,28.710470711066648,24.475754069274693,26.42027913277507,22.17530098137924,25.07137735956615,20.40301225895258,22.382619828378207,20.232800065563314,16.684437616283944,17.746018658049774,18.914143142108543,20.22532456807483,23.77675420828933,21.480280768660613,25.098245466819204,22.33068837605326,23.71284864222757,29.22595663762771,31.500401759037764,32.81786889948666,27.35086311841095,27.358553456909295,30.29892179733977,26.923433528187452,23.8962219782824,27.928069112220975,31.01019917776167,32.64901726773406,33.75768285359809,34.76757805765665],[25.190271005678042,22.528971146672216,21.377364812153303,17.307727772842647,18.451860312504554,23.322319732165774,24.35595976312051,28.979647657626437,29.165376630293796,28.993950398062868,32.40988369917413,35.5217346024894,32.909730783344244,31.27707549950696,36.36083509233168,37.06349104158579,33.492010056988356,36.89563741939604,36.8390914465176,38.67948646308035,40.63420651664241,43.25635349686278,42.987714830044844,40.53955860887342,38.095753930458464,35.78315035526529,34.63968510318514,32.90537697076525,35.945887707674785,37.29078846242673,41.80499368016197,41.68522804873092,45.97579571638644,48.50564555862781,45.21170780682074,42.12399762921957,41.40186430451019,39.356396308606584,37.21972179792543,41.401917431776155,36.99152961607667,39.69543457503242,43.483963120315096,41.2500158879259,41.63003231975881,39.05774778611587,42.69641769608279,43.55588775532879,38.72675236420526,41.47833988374979,45.28896545881558,45.38342504217809,48.64768637422317,44.58000850734526,50.3713201765825,51.82084027586778,47.8983046045384,49.27175871696652,53.7444258471505,51.8517011258028,49.50237997149552,52.189900258353056,51.6190598645052,52.03755766129868,48.71591241487135,46.150430140966485,43.72099751327842,42.43086829100033,39.62018021972932,39.40987535594773,37.86174457242449,40.375650676795615,42.892764574146646,44.74340434423724,44.98062128979661,50.92891368714353,48.77148501373262,52.58238765671216,50.620423646589906,50.08977826477603,48.64452604488851,46.507596254290334,45.3518127972806,43.997815433478266,40.225455988052786,41.16870858477785,43.11917804987907,45.71185886660739,45.07683007110418,49.908190785642745,47.78564434907731,51.23786307200892,48.718365446897906,47.5802320343148,43.08896603253159,44.46348277657636,40.30011281446538,42.59496307362163,40.3294637695928,42.48161418129861,42.11854030372287,40.82485506123784,40.87968925049821,38.44142801652789,38.97005576335668,34.32928378818462,36.05577612368269,33.34399461625875,29.92906683763529,31.906476686874726,27.822750537236406,27.842565902103008,26.866444772065595,25.128610243895114,26.98571730332041,24.80067284958554,28.271609506291217,26.45696967216722,31.886706106727903,32.49393200736451,29.57053272537572,27.927251443058438,23.38207395858303,22.76981006662007,22.675886761268128,21.18511157336461,22.076243529665952,23.689790160464753,25.541860216681744,29.69957385833431,26.553302387559597,30.854199398003786,30.21837039241663,33.31921291038543,27.940580006394338,25.638005202050266,21.0501354936637,20.65330510967348,19.527317312009373,23.22019298498076,22.82311041552865,27.351927687150347,29.335837735102704,27.88725700315935,31.39117201184398,32.39420520361728,29.35067062710106,30.76259774023115,30.74162687655779,30.3380771912277,32.043779414027284,33.916176480484566,38.25910000712523,39.49836368988801,40.14203540060843,39.54406824141175,36.76085924417822,36.14673495230834,35.954116464684425,33.615115395713715,30.771901617166463,33.9522937377379,29.546072242209338,34.12695457975411,31.45620449780119,26.82080717742173,28.324728564234615,27.532450513127937,24.688067954857654,22.6030452815004,24.556338258165397,24.891477151946216,30.066462037951666,33.082420582810684,35.81650149233499,38.225706287880605,38.30478949369067,42.96917923932961,40.67060598598389,41.00647997098038,37.332938472942146,34.78509326217796,36.47657533082787,37.2963928693075,34.5695587439409,37.819909938881466,37.681429018770366,39.915155915219856,36.06325605375414,37.19118684928525,35.91060616982895,34.61393230331848,32.89181270290881,30.97811439239136,31.333611639878807,30.66522945717391,26.693546260740376,29.00330310734762,26.72663164748367,28.376729633739963,30.54721072952645,31.58803043806884,27.858444183468773,26.445584701238438,30.4103406401702,28.5337980119179,22.873455474954838,26.8826311729616,31.478468196471294,26.335730806601447,25.402968277547586,29.231195762693954,29.216407633690174,25.062288126453346,26.659584433249783,24.39868730618393,30.3848202542768,25.847512845196043,27.82342735590051,31.901790367692573,34.90435539128188,39.16447003193643,39.669779162556274,41.80567802709222,39.84112427478758,42.36184636827009,40.58175466711582,42.91584004947331,40.97125187589033,35.44982560290421,37.93416682935433,39.41981331264857,34.85608686685448,33.246718350902476,35.899490855132484,34.014090768914414,30.003626981073257,30.03374657890105,28.591003602874164,32.7848912243039,35.92794979874976,36.608541303065124,39.79481189622515,43.39834301618074,41.65686100970341,36.96511522877674,39.58485636244876,41.57126381953775,37.100501913266136,35.207939556311885,38.622560448323085,37.76886505792529,33.84637230673428,37.520136551233335,39.25754734797794,35.56813870657191,35.0737686363659,38.42717826141525,36.05942477073743,38.48557788973228,37.26888262167295,39.366903490925786,37.76166457043977,32.45074406804067,34.79061820218196,34.973761214896975,31.860422390660105,29.689041710159923,34.23145362391314,31.981107802493373,26.96196331044764,28.581891555801924,32.12466461597435,29.370014222721196,25.458778654907707,21.634458552557867,22.89541831405587,18.964886174791445,22.58204893546342,18.501402863440646,20.935179909846557,19.893296591598403,15.713479380418612,16.05484996912909,16.189340239514294,17.579996745183415,21.681460148955615,20.352363839028886,23.936785824227943,22.148078177149028,23.91257168950233,29.503962317718315,31.744845563360574,33.62589759815777,28.42561524389659,28.157200913486754,31.598527111467124,28.78152090120141,25.525654092048036,29.20177298200078,32.69408950358934,34.418322599005904,35.52073670167038,36.471709431245124],[29.202525575851457,26.671296144092736,25.622258785667814,21.23131815916577,22.208871511359312,26.855160192180254,27.46664589647528,32.09631145071788,31.877612797414336,31.167641393430223,34.426132092777756,37.84225875005908,34.89114170453534,32.87126792625744,37.8607748806765,38.6696121315767,34.79459391516616,37.78995553619,37.10650302468339,39.1719702504608,40.67770612099805,43.30745146221739,42.65089262988469,39.98632673598269,37.92426093894956,35.70546652695263,35.066051275749686,33.70707828942743,37.07572097191416,38.87935443345913,43.056835144657,43.48470464756595,47.73096847986742,49.938156301303465,46.684532951587606,43.32019543580432,43.04230750758614,40.4716372547744,38.241288153303344,42.44841829302098,37.595920275255644,40.114982275216164,43.86065610939022,41.433364848416744,41.359712834391814,38.66509159053614,42.224709092246805,43.518718770299444,38.909208829698095,41.60099683068512,45.6351810367389,46.04080737368196,49.27037993309613,45.388587976750244,51.29243509393903,52.325550526622,48.27998118860397,49.95946651266784,54.28947948665876,51.98527261249003,49.682590561721746,52.45470875988722,52.06411186117517,52.03456514915957,48.70985771233844,46.50491894061543,43.78445460055518,42.89367208843168,39.79717066946032,39.953058821504705,38.1081719642218,40.36477784311901,43.18902277467808,44.80034580456863,45.53671825948644,51.387997052189284,49.36355362985046,53.398797812477795,51.524585144108826,50.95057162801558,49.91930812489709,47.768182110220486,47.10081536965473,45.66591880494625,41.69537799994233,42.69740462061259,44.22247142004959,47.170731887483655,46.05657494641516,51.100718691860656,48.77713761237207,52.06452862055799,49.746966537723914,48.927910213598004,44.55359942380164,45.91450315274091,41.848723476688754,44.51220785768088,42.546824522252486,45.14464191366641,44.48097512236432,43.66171257436737,43.31234484231658,41.3113724481804,41.72060799505425,37.35362443149718,39.35097415599144,36.60961278725235,33.440118149052864,35.33302169519578,31.315274760554637,30.799164606364876,29.71985771557477,27.499087724327943,28.83222226749947,26.19805009617575,29.262825346763847,26.88276134442703,31.90668691752833,33.106407429565294,30.109470841309754,28.940681215217342,24.310280587581975,24.368858114969896,24.955935799078983,23.630825811396416,25.42880358128304,26.707541412412354,28.76566966222015,32.654165176118944,29.635254693689394,33.921319840055354,32.79738728712387,35.973450003673314,30.351098410472144,28.050386235616457,23.756237697834436,22.781417976025338,21.12363413414455,24.506802974078777,23.039577750395658,27.275339876879336,29.61376775786787,28.693613641653855,32.278652044817136,33.67015254275003,30.809822371695677,32.70691030848085,33.14312713651098,32.98519459018905,35.134285455826515,36.969641885212276,41.52110917068733,42.793494903590485,43.096948134679046,42.43929170898239,39.406591444107114,39.02856142191362,38.36792268912924,36.29873894501005,32.9885546034403,35.68184313578066,30.92143502738165,35.47914205125245,32.676270081455606,27.741983568354303,29.620652234199635,28.34464143120537,26.00831549454124,23.92968763519814,26.316186202774023,26.60024271074908,31.830342773425265,35.01991463770985,37.80014425904256,40.5133283194461,40.41442276639652,45.20481089858481,42.595877690524865,43.18097528011563,39.21624745937171,37.2469306940611,38.703796018710676,39.26479602364544,36.36444987397761,39.120902252876306,38.72614073957419,40.713136073347,36.3594866972416,37.88614319609149,36.67405247391347,35.81023785796039,34.401501096395116,32.88741375525351,33.58712253056247,33.20670690592097,29.536550051804806,32.20614230830309,30.31757395840182,32.08340964947791,34.499138449414204,35.61588652667307,31.837756797652425,30.608075776874145,34.67560554046427,32.818684460013884,27.230978853167347,31.29433492605886,35.90427855680363,30.75201027610602,29.87989316592663,33.70810840384731,33.61845508587981,29.44041761367745,31.063521860436826,28.839076542803742,34.81154469217709,30.128774014432164,32.20678479318009,36.29839419511947,39.172628946718824,43.47609454952929,43.843666789253604,46.028565593678685,44.01137135573869,46.45774143572987,44.624029038293806,46.7872441755073,44.900154487380576,39.422067382994946,41.72257494704302,43.036859137295124,38.54034760524761,36.881365804783584,39.261031080549394,37.29721662605047,33.4480329212638,33.19865529026565,32.26713451880261,36.32446777401815,39.5925082266362,40.568390576116066,43.700855375425895,47.45705550055994,45.59586291823936,40.94041716087536,43.788133967066535,45.7239992156598,41.18459224792287,39.46921756321361,42.941401866511235,42.052153102762894,38.19662179199605,41.944465125210584,43.667029931802226,39.938726144767834,39.53601380038593,42.90444561706182,40.53236763603701,42.91595199847815,41.616233107230066,43.6627715120125,42.14568447661322,36.84058136204727,39.02660536137589,39.206338957763286,36.15734524388088,33.85251148605431,38.23005951698736,35.99709313600449,31.055878761479537,32.419020290023134,35.833423472019334,33.09229172274076,29.26825118308855,25.69065125926852,26.524218122412105,22.773033553116175,26.646290880356098,22.81824656255513,25.36910729899954,24.359396504919822,20.174282914048913,20.451210651952334,20.338428143616728,21.59976765786235,25.80830640390617,24.3889175396162,27.7192295232009,25.803287409436823,27.930481282879114,33.406382008574774,35.82990287479379,37.509313699136726,32.25855586156121,32.3033402766492,35.65703528584188,32.50994998599261,29.540165876599975,33.39501354700078,36.770972497044795,38.439621801964066,39.48585377074428,40.41898449310427],[27.82113509148821,25.14725530140221,23.722067979298558,18.922170627410605,19.272751386529762,23.641450067998793,23.704027501416792,28.2756961534855,27.873560461840288,26.780885698947618,30.011236508072027,33.504534252265024,30.310968155976777,28.25997164814542,33.180081556982536,33.95047237348244,30.0000164359346,32.94576580422051,32.2909098160133,34.38458369507996,35.96703321424389,38.69853506982826,38.127584155104195,35.593286684885896,33.413402869072094,31.041486274282665,30.36809563174692,28.913669273755,32.272338491972256,34.14568845652069,38.25143346164358,38.79200544853824,43.0238715086989,45.14845715246788,41.917508925676756,38.52158517116945,38.35796684440137,35.77395363259177,33.64109175736707,38.07688616752281,33.188482706714346,35.525257283803796,39.37560645085062,37.121229132115225,37.193032480993054,34.718369398110504,38.417515533679065,39.45770172677515,34.918206848934865,37.94033066583985,41.76899883418022,42.126070319089244,45.21716307521524,41.162278700422924,47.01047262920221,48.069994791782705,43.94592761515968,45.44086963882355,49.822240847896474,47.63146002572301,45.145232029057794,47.788768928644835,47.30533557278603,47.349073649686055,44.0738036738098,41.778979276823584,39.02370296112898,38.060922576992475,34.99894549995119,35.15241282138196,33.36014637779073,35.72359308892709,38.43883157108625,40.03302017708047,40.700154573270076,46.55838577773636,44.54064916761098,48.56626732570268,46.73647268659741,46.24356735805734,45.27551738644962,43.2731679515492,42.6498246940313,41.4039380701267,37.381478969464496,38.18007841816783,39.57684494192621,42.50008471256746,41.273694722249836,46.29401387015283,43.936083466597466,47.22165530773287,44.92820887868771,44.15518470877986,39.82099306456351,41.25400701749291,37.242248050284054,39.90599953995598,38.06604379844154,40.90233797789778,40.0144420592752,39.495067339212866,38.9401581278266,37.27733703570423,37.845788941335236,33.65002803931185,36.0412208856412,33.534496994867816,30.476072064173756,31.99211131741479,27.962286501964794,26.9307400459137,25.654058318582443,23.165746916451237,24.20105683080871,21.451604339302477,24.4403920176683,22.07453917351833,27.127075581424336,28.259335110358922,25.281606154763075,24.15307521523639,19.500136668635797,19.699648461111494,20.591035625101405,19.384387185891452,21.910150201933078,23.02356302121805,25.447687541681606,29.22205978341844,26.780395663016723,31.205889296429756,29.91010673792311,32.6764147036598,27.031538768183495,24.333561142560647,20.59588175023469,18.857291928337784,16.760781425599784,20.044751235755836,18.539087380951848,22.93945260282106,25.006128525343506,24.061818463432783,27.70765980380485,28.984673534431888,26.151698209337688,28.137370687511517,28.801150843632016,28.73721499188451,31.216494603869553,33.04011246864458,37.732551039690655,39.173486312509695,39.129533163571516,38.33488057954462,35.12887816696244,34.916186062609576,33.96273843702599,32.17418092552914,28.746460629988036,31.182521789225767,26.499893809210725,31.13323756924343,28.691608387807428,23.889204104143257,26.228301490322117,25.353407444860395,23.227285712999286,20.608464226738118,22.936232371781607,22.702573195165026,27.887529896314348,30.962311240170475,33.57207161116964,36.31396896131555,35.971051002610444,40.89301336574865,38.312739885062435,39.09042699673315,35.25226609387231,33.41451495919953,35.182252233868596,35.911839746005576,32.8330351209854,35.30922138642961,34.60925718650576,36.93856729478789,32.68958907326473,34.487421564444695,33.63076133123579,32.526937031310126,31.537834117163335,30.1267794123789,31.060594544524385,31.12749670977818,27.327505338027635,30.18678826965608,28.5767404283695,29.83144898055221,32.79424520368742,33.49572698572845,29.5429422527112,29.0639304143679,33.18830503677153,30.955860112859103,25.810598100916543,30.276711948245065,34.53078897238298,29.306724315906195,28.999455829677313,32.94131981934872,32.378318772379224,28.47854582542776,30.797509160910703,28.70296622360918,34.7476549578807,30.65608119514338,32.12532144062647,36.23879840581458,39.272303024539895,43.62889470759954,43.976885764012,45.69944596739722,43.39652467442722,45.57012889064545,43.27965403666023,45.67816705872127,44.231566275542384,38.43925604529574,40.44818296868835,42.25676710960618,37.961708750881456,35.84559046324609,38.11204960562351,36.88611188770394,33.02327256417936,31.96326708271292,31.023750108957056,34.34401975646906,37.7999660235498,38.84457252952681,41.6202090876204,45.47822819194484,43.17974893716587,38.719181472113625,41.909172505084435,43.46828141409914,38.748190757900154,37.524480512906955,40.999444260559144,39.938429192829894,36.3511897805181,40.46156109238494,42.07127909810551,38.308442619872416,38.391552852283105,41.91581394596065,39.6526067125876,41.884508585601104,40.2671812196899,42.62138951968606,41.50739086345639,35.94646548783928,38.06556600657996,38.80272812803847,35.83678432068299,33.18294047030784,37.95253217530954,36.293634688995056,31.0743443149379,32.16113255219011,36.13631529350093,33.861666071664274,29.87682285880247,26.11248042096978,27.83504697537739,24.131497455776906,27.74068870776867,23.33950325057807,25.09203310620987,23.46286052125007,19.91789876880355,20.036811334486245,20.539930412296936,21.150396842322372,24.931811051411376,22.502068329790625,25.492586607756916,22.92839210917294,25.393955615490857,30.61369674089497,33.32712459161954,34.556139525076915,29.255392466262503,29.910413657119875,33.094933243016705,29.43779820818204,27.118720806607616,31.350182431591595,34.59885209377433,36.24277940136302,37.32097035215599,38.39914812047989],[25.608928056739032,22.48469157681784,20.214038138660115,16.37543249930275,15.70378737515477,21.305479052945895,21.707435248010622,26.209867278216667,26.83704372842739,26.2851802816523,29.872570036497457,32.804711025488174,29.621489719173567,28.510313146540362,33.38318526934726,33.66463593573032,29.895108426730697,33.21962473571471,33.15354736251621,34.534533575724936,36.54262361019378,38.8485600462219,38.759973707029786,36.31460744344353,33.70500770655247,31.68168421889207,30.246143615443543,28.72510928690066,31.87913458260846,33.297942840778454,38.27307319326445,37.908107536198905,42.348547580861585,44.68103037906271,41.14839365767163,38.00169089549472,37.09139699666422,34.810067322463546,32.46537683674354,36.33265319552444,32.04908250714898,35.04547664644846,38.68055141703123,36.35813535763317,36.87580938871149,34.255984701635555,37.856702360924935,38.582398864759234,33.63748685500739,36.291710914734935,40.065356877225156,40.095156076497936,43.41246218605696,39.42045088785745,45.21719338882227,46.72562001414652,42.92055998594656,44.395118950406406,48.83133593449615,46.98842321389827,44.8544089774784,47.73883336221418,47.33549921685031,47.878620815397916,44.406675618878886,41.82109273438137,39.86345126486588,38.65879730650593,36.28396095872888,36.31952364927402,35.01932960982267,37.8682405207883,39.99285616827339,41.49346342743225,41.48991782935386,47.297042433930926,44.73933647680755,48.530362607322765,46.30137969855972,45.513542944063374,43.954693241397685,41.56861303861962,40.506648423897786,38.90520945664325,35.13994202187505,36.34877945528616,38.42515647948776,41.17031260956573,40.76248188450104,45.783394452074646,43.95329222896924,47.6566744451289,45.320371746435775,44.2371040489494,39.87081588339786,41.62311092111709,37.59447710739134,39.40255128411847,37.18625559658324,39.44852163234035,38.44604317514561,37.08426521596715,36.67699629192778,34.246112607849355,34.30518340938175,29.904665599026004,31.707845331632665,28.85776942797309,25.79806195566507,27.883000271589808,24.108300491458134,23.671698805293033,23.23146171550884,21.064532393511925,23.305245484577284,20.93288354378854,24.404443560777686,22.560921572952687,28.29185335409245,28.991187988511555,26.413735888839685,24.8668183057737,20.263136575140734,19.56842281469274,19.626489335354982,17.211288307806754,18.628025014105642,19.41516925798015,21.18185604212762,24.99251864857009,21.84418424387612,26.138438076869026,25.13760444643399,28.29236196396322,22.765644225976022,20.606936185362805,16.053783784436078,15.628071491846335,14.761563439272658,18.412974200520118,18.313017825288767,22.748691119827047,24.86651067579834,23.289935006599077,26.636853143860307,27.915321640723956,24.93209005673211,26.571568354198423,26.56026281003252,26.736229111923905,28.529762735873028,30.980585298135267,35.20870230021183,37.1667997695488,37.50548345777871,36.37718747934848,33.38291479630261,32.456787965850076,32.018361989634016,29.306458838916697,26.0546267403417,29.251672946682035,24.617747983805508,29.077197731680492,26.15606234476918,21.515652038942367,22.896849467106513,22.18950113548703,19.327955251692575,17.179150179058343,19.162179908651677,19.63010908321235,24.820690009229025,27.9596143549968,30.857099554927984,33.446501129649185,33.78915874002731,38.28407326031805,35.71646065628599,36.010076468343215,32.11864279006535,29.818287127594697,31.245415497957094,31.955223489275742,29.197525903888852,32.44245292331907,32.434594352667645,34.567044813464946,30.834091351316218,31.81930599134108,30.54960270835854,29.185434765159755,27.51995461726829,25.679490992936802,26.197646431922323,25.821548604128196,21.940951737340814,24.603477282180833,22.852138644821284,24.48299536681642,27.215396234250726,28.31924141152316,24.525997727674746,23.657764341131912,27.909506985178528,26.172956209366806,20.89094039430473,25.212847030919118,29.811905151393105,25.100069837033228,24.66259178768269,28.648674943499714,28.615964759294958,24.985215896358817,27.016646669042174,24.513184221032777,30.436540426861942,25.829805140817484,27.058134804970393,31.248828776863792,33.90457810160848,38.43835731378163,38.43734151993673,40.08656555333261,37.67962097347263,39.79469623217749,37.58375704353651,39.804727546907735,38.312192213122195,32.59608855401701,34.58939885490757,36.25539431793998,31.95529777086592,29.888535501380186,32.179993917670046,30.86539799763674,26.992668876521005,26.07576877269499,25.12307527230616,28.74166820690235,32.1192213653506,33.27180889767095,36.24085839895055,40.167154622076346,38.15253633586503,33.54534694389275,36.762541519836326,38.65509299370802,34.08243643220568,32.66067187175775,36.41556259400632,35.68827478325567,31.993819235696414,35.852617953194695,37.82096022003212,34.444652595209426,34.103851540948675,37.41974905801323,34.879909389028256,36.83107281384812,35.069633295913476,37.155152018468144,36.21125646629656,30.71265445871728,32.48795647185444,33.19453541251736,30.373998059607526,27.48396165990281,32.100372116859596,30.61994392228527,25.405397685123706,26.227055746575715,30.25007171793677,28.196337815434518,24.215248784649386,20.639358906645,22.582967070289445,19.25311934608306,23.012142823236697,18.777035407033097,20.223683710086583,19.24982971865219,15.73736453643408,15.071702399194624,15.186875354785661,15.414446066865821,19.26126910049574,17.249724544612295,20.204022015619163,18.398324186296065,21.063045824692175,26.299547627665014,28.937629156161922,30.66820346669775,25.668961917808875,26.059201763107932,29.68012459035275,26.64062182269086,24.15952212924947,28.0474289524471,31.677848818006225,33.43574970699802,34.574033066726265,35.68858086913682],[29.82948734402804,26.827317899060624,24.77241799917676,20.925173271114495,20.41030875373564,25.96426154071511,26.236558774494867,30.73838936101839,31.16020792259219,30.273302199748304,33.758734220535764,36.896223500505755,33.439516373309296,32.07251452650706,36.86452139336908,37.18287152867704,33.126634578224525,36.06852391434898,35.37152055121681,36.84178263612797,38.377947156814066,40.54191771671862,40.06892567723788,37.31659531756819,35.10505896680605,33.348579730089384,32.36106614528909,31.330901019311742,34.8428215700108,36.68107873377525,41.477711636175094,41.50584817917909,45.941061403340925,47.97373390214971,44.40981535191118,41.007859972352875,40.41028558239731,37.57245749230451,35.02403004393935,38.668492600486495,34.00655343052065,37.01822012385217,40.49877121510713,37.839814174223534,37.84702911462134,34.93074313478343,38.35374818223284,39.64858530220156,34.83667887300864,37.16620375951744,41.29986500667809,41.6509317662286,45.043536014675674,41.38482913919732,47.320849602302886,48.42323295244929,44.5899513838195,46.51671880543099,50.76721861011314,48.465937285881154,46.564260017650696,49.67527143828478,49.55245606899851,49.657911196697846,46.101104783993456,43.91269240325869,41.82390486928272,41.06890176041468,38.50450257262868,38.950863613859276,37.3927281588409,40.03518779501922,42.422491172087504,43.62258872573492,44.069725619291084,49.754661630331476,47.20585251808845,51.21140898826294,48.964415317579686,48.011868278659676,46.7801876386824,44.21969444168184,43.63266163664499,41.7669840400571,37.86005876238006,39.327245634277375,41.095950584291266,44.2367087539506,43.49895423594144,48.7838839249587,46.86195323872043,50.47947624507609,48.360745602622714,47.55806553133449,43.303434680670044,45.085960652603,41.139155388365545,43.18457600045011,41.18231462848087,43.72513837809781,42.45400979025253,41.33673129752921,40.58268043675888,38.36658940315894,38.10082485197872,33.94784479325751,35.73715225326991,32.701407319986124,29.92062610212826,32.17354826550496,28.578769180945482,27.89142582656082,27.56164426477385,25.042847726013573,26.974282314820545,24.191499472660038,27.286764794219632,24.84067022746755,30.243186855456837,31.595597466161685,28.99703568337185,27.905884654979864,23.194705833981168,23.087645507319657,23.67351544045345,21.28391123960483,23.200313064609546,23.640073181740522,25.314049149194886,28.794075165942292,25.424999995418386,29.513572549050533,28.074137903452318,31.571159831346023,25.86820920463049,24.07066310705506,19.57761782797315,19.05679543705667,17.932925079569124,21.232266553399786,20.018453623711,24.024820892873628,26.741127921401585,25.708233401483607,29.055583260640063,30.867182233242147,28.081313045424597,30.191880272897507,30.494647693438672,30.9506553470462,32.96274520431559,35.46759637028627,39.759548246988366,41.768612573052344,41.958854340650724,40.76337798821752,37.61662411748239,36.754445236976714,36.010509264773376,33.32746931146544,29.640415071211198,32.48653020772881,27.420634912755926,31.743635658194982,28.392469599593117,23.37122899824125,24.784983686109502,23.26617967376183,20.837926184327337,19.13984642526293,21.625825944725733,22.429546593973704,27.633496741666104,31.025202520622823,34.09622526076529,36.9894843294648,37.376388939756374,41.83962836012083,38.89938155458726,39.29521563099658,35.001241350933725,33.27638149037763,34.16689222765297,34.455472159768824,31.668343648327912,34.57918298440896,34.5593630735792,36.160448468025734,31.87855100165373,33.03693124842469,31.5806367787928,30.83462634664202,29.211084859008167,27.75371045553374,28.489436484267063,28.144977598203763,24.768064848420163,27.683927219167604,26.25002050127943,28.350683381319858,30.983585768111766,32.46399466292863,28.787671054735586,27.65118170786538,31.96518388791616,30.55433519829471,25.127333947129486,29.225701972577486,34.07261224388314,29.485994879228418,28.78211979367582,32.71932756949393,32.94467705378755,29.169075203617925,30.82693804957136,28.206887523650337,34.088576540706036,28.890983315269132,30.51854492078569,34.73284675926871,37.08679206323974,41.67989177095585,41.45091524258138,43.371361954231176,41.02668930500365,43.17091062824192,41.155485036855715,43.00402722421008,41.35458424170854,35.896295665320395,37.80845210583593,38.97302299498637,34.670774623981615,32.8124238203359,34.82266519623615,33.01233969075252,29.359836474406293,28.5881822547672,28.271059736912676,32.14800348500882,35.52064906469425,36.99899286794084,40.10624219475843,44.14692351541268,42.2863255039677,37.62885525986289,40.91618075035236,42.998598502435826,38.49983956196551,36.99757609224679,40.849772564407175,40.2373563203233,36.475333482618794,40.169939942541966,42.2452080648784,38.92272735849395,38.35718593533305,41.568546668603545,38.91443754976114,40.833350580433915,39.116120509058916,40.92042403898454,39.91190594280014,34.58004296830007,36.139963622371525,36.542015782365546,33.788029399583365,30.89944525979574,35.06121966494001,33.34421126999746,28.37383871634791,28.994818291119575,32.565263497901,30.331631860292138,26.531246830261146,23.371374338311632,24.38527024473591,21.267882689158817,25.526182437803005,21.859165642528243,23.872263156857816,23.376864861897708,19.446533043901614,18.75349702478311,18.16235152047136,18.631315153671842,22.832658021314153,21.440474276995992,24.238950946552006,22.81342752848053,25.649724262614395,30.834209875491293,33.48334127803209,35.29379446146932,30.352643627339585,30.718316259860167,34.38372373452575,31.354803697420806,28.82322610044876,32.64938829227518,36.292346423503346,38.021279725303614,39.10148604471961,40.12629954081258],[33.0457546351235,30.262621971155923,28.51645594775033,23.96473285795719,23.620445378066425,28.385692185082956,28.089301920995958,32.54833275412825,32.22736054628377,30.64768047783909,33.819476966264936,37.37640598456237,33.63341696959279,31.63499283935752,36.27381870836236,36.84270530619084,32.51529836948882,34.931309477486295,33.51904045843052,35.4436705995053,36.457514013037844,38.823529015034616,37.8715134658899,34.97561037576229,33.23239317632408,31.37409435789339,31.10898312270175,30.387338588935947,34.18298362710979,36.5536943702739,40.669009629034456,41.512649337358646,45.78714145334031,47.450530094114384,44.07751117770407,40.383121301637175,40.47536995545645,37.144447952726125,34.68172817035006,38.64941209045437,33.41841022283573,35.89746448261912,39.44916054009596,36.76081238305968,36.27139360545113,33.436314507335524,36.87454670365029,38.53834961187589,34.148889146016415,36.7263917459806,40.93521437945447,41.6472521177162,44.82788248589516,41.22825000233241,47.20885517667059,47.80478898198364,43.7235987731619,45.802773228908464,49.91931570186663,47.209490279617405,45.12405128569431,48.127566402620694,48.07424937695392,47.647122976474435,44.21084815593379,42.40873518125442,39.76446068528448,39.408297663091886,36.38659334518191,37.17360643370032,35.23009243914416,37.490324108724,40.27975576438101,41.29992287969716,42.379270180766575,47.96607623042655,45.76108040984185,50.007167618953126,48.02604638302617,47.2048876225318,46.56985603709838,44.24548293547002,44.22398074381037,42.55341526569671,38.40078631579969,39.631473538240016,40.7270593296709,44.17156582046623,42.690948523148215,48.08808389013202,45.79543314374099,49.09019960691139,47.16839405590811,46.75630205345756,42.65409233338331,44.311553398192544,40.503898741383466,43.138377599048574,41.56721431905703,44.72266677294065,43.221378681331196,42.905790301873104,41.7481084156606,40.303576559791175,40.2615355197773,36.46547992503147,38.83383089109076,36.058394019651764,33.467548568881035,35.243721612991955,31.580929092419797,30.13560709788362,29.312310795270278,26.30055172821126,27.246171330942662,24.01437013284016,26.50420818926389,23.459775195057286,28.158924841297914,30.12545575139812,27.38257543220806,26.872359534269957,22.20528699630452,22.987962630016877,24.446484514398946,22.73305987382165,25.854442700219213,26.19545468829654,28.40631517007363,31.647502601793732,28.95526961680337,33.12772961672716,31.218202856615786,34.359681514305954,28.50922118837182,26.318192550015624,22.671374989434888,20.93039130755709,18.815483329663117,21.590720339939022,18.973414967338933,22.66192095339726,25.4998813720768,25.166293577474015,28.659743965917183,30.69434020921641,28.164684055274943,30.763798498160458,31.74095727682633,32.28437663867666,34.96685810260412,37.15338743268272,41.7981198711769,43.653335655802564,43.335196215070184,42.2004202085203,38.76090569604734,38.4265705660986,37.05212613428869,35.07905949274596,31.01054459169242,33.05606869763929,27.82202027684216,32.16963641299896,29.13557429733861,23.97265187191197,26.270877495863843,24.554698191619202,22.98224037452523,20.854535580936542,23.69054093634367,23.897350478940883,29.022358994986778,32.40755472145236,35.27559097432516,38.424221028878016,38.28750061701387,43.0415480290681,39.919405925327304,40.778550202397625,36.40446410831045,35.33763190413179,36.36451103863239,36.56914354815787,33.46735293789048,35.52958596277375,34.877826602285,36.52118972020804,31.713480152410586,33.6597459032453,32.63041315453213,32.21252489034245,31.33867840089234,30.409599585587564,31.65086983110454,31.895100381608717,28.693920061541967,31.939607479728902,30.8829991879625,32.61931578660326,35.69884458595961,36.839162503057956,32.99682764467319,32.43623058808908,36.752194234087426,34.95248851492173,29.785824221955657,34.1437457275337,38.69322209319384,33.81155646546116,33.40486850688302,37.37328603775399,37.12776119014633,33.303084653821976,35.36938945273391,33.01169271087798,38.99757581695274,34.22704389068986,35.792162882573706,39.987440825097295,42.55168985818118,47.09726064464845,46.982851862404566,48.77619612653188,46.34634677892566,48.37333412180597,46.10581674604211,48.05571855755211,46.64370806663721,41.045959518177554,42.7542984428145,44.11459501437689,39.94657749616993,37.854300194955016,39.66418116789342,38.193086235896146,34.6370156866689,33.319959953674335,33.23380565504941,36.56543398092466,40.104763422283305,41.69624067100298,44.52740073522877,48.64876577185871,46.410093276427034,41.929649079791325,45.45170679692835,47.192365891995344,42.51781779863073,41.3950089663672,45.138899267276294,44.2795407322202,40.70402369817419,44.70068985662235,46.55051397125344,43.004336630108945,42.87292517277139,46.26038628465656,43.781214748864436,45.76668391213697,43.957189244151444,45.99741730113668,45.10211541597528,39.63418505541202,41.27895630660519,41.91923391008965,39.14769503664208,36.18958820410753,40.518954319464505,38.94805043728207,33.90060259687524,34.4529856076223,38.163771896925944,36.01404753774212,32.19459568537282,28.9456544343551,30.050356003537736,26.80641252486688,30.94630160164811,27.042572828299566,28.963449819481028,27.905660261496447,24.168493591146756,23.810875382838162,23.6142983275918,23.993448993069087,28.011673110881215,25.959909783192206,28.53516939757657,26.42948694221852,29.454625532465577,34.466291586951776,37.347913261282045,38.64125369197059,33.53174893024424,34.400273443533564,37.748944545267776,34.09138154763141,32.02049283163803,36.22063991061435,39.5740540530901,41.213814716612376,42.24408997626219,43.2945751583489],[30.228970399557433,27.137903419809366,24.63851626589789,20.358991888278975,18.778775583823474,23.82601575187165,23.12109145040007,27.41288052521473,27.53130836562539,25.871163079609705,29.22996757998044,32.49811519783525,28.491965112119942,27.08348121420227,31.6144405786492,31.813568113703024,27.499215974449726,30.131897375565877,29.164331010234214,30.63068697475425,32.06004286346326,34.2717579835904,33.770839358521116,31.076227054429957,28.83874731457561,27.020433142847565,26.148032781988352,25.265580257151726,28.95788955315121,31.12272035892595,35.76779209536664,36.127764892026,40.53662978727697,42.264231425913614,38.70267085617092,35.12458693128097,34.838626298320264,31.668492572540202,29.139992503922805,33.02700156535276,28.105281416770854,30.876409716237895,34.44520056304092,31.887537454386802,31.90083716503038,29.19123660986642,32.781990829903094,33.91800649044806,29.25433908276576,32.009980435864705,35.979375883911494,36.404151011693465,39.61151302104991,35.80899322538992,41.74528367463914,42.69823671225475,38.71327541515678,40.56836696041889,44.821317047362754,42.48255380455087,40.40243906548637,43.43729066267328,43.31791320031855,43.33887339999128,39.80413515559251,37.66308064888563,35.52084384787973,34.890189024901446,32.372355698308084,33.05983762577858,31.51737052268732,34.247033435137496,36.508537719840504,37.4743882826788,37.99747413411964,43.59244980009238,41.01921260373275,45.106382790812454,42.89674495457703,41.96890872183924,40.98835136906673,38.559393049172115,38.286350146598146,36.58163857799396,32.503600114266966,33.793748384502564,35.216425000466344,38.53278087269545,37.4782192134914,42.8713124194051,40.88724539494885,44.47745603588,42.531165095840144,41.945939948189604,37.8499121843169,39.79383375106823,36.024888546171915,38.09752356377857,36.4131286623746,39.448094164860734,37.637890809688486,37.109657363232664,35.81375968762455,34.25622087850496,34.05436638898493,30.336565072809474,32.776136753680085,30.05571195744966,27.63257638639511,29.32662777876307,25.860979505600195,24.163379106650034,23.672812648694606,20.501816004148054,21.878245167070006,18.691892479669782,21.42691825438629,18.689974499487494,24.010175483662554,25.60693415046759,23.155284750794454,22.407470743046275,17.71475182636845,18.099340619001797,19.427618371859754,17.02822009025103,20.4039374382547,20.249142544384192,22.455091219291543,25.51703763231342,23.07000366947231,27.27990302664,25.316312975204877,28.243292933904314,22.407156898416527,20.10344277989902,16.672352556361243,14.717095890447066,12.760361341667993,15.65916066189125,13.811879344923701,17.87419980218276,20.515909541039026,19.70044040145423,23.125413411522928,25.09072181353367,22.471070276567833,25.010298577351666,25.836663083947247,26.68035435759076,29.303515475564467,31.862737499335754,36.34396959566338,38.68013092628792,38.242634177555786,36.7605898971667,33.27415513693579,32.66819037536739,31.284993539642972,29.028321445998298,24.878241590769424,27.119584099838136,21.903430573819904,26.28376296060979,23.28062721134208,18.246156749045987,20.53914985519566,19.372070657533026,17.578900125394583,15.032325472375307,17.6934873076986,17.738153534645285,22.901593533828553,26.253740618070317,29.149938081814295,32.26712552302707,32.30488869533192,36.94776532643182,33.84268210950807,34.610057664588155,30.30326338009729,29.110970880237982,30.25736595396237,30.63329823531656,27.502064034541448,29.75829652968448,29.208437038007652,31.144325143301916,26.75738283922684,28.490237458007147,27.590617794670944,26.701713650245065,25.87731080871941,24.803371413015277,26.08129005076464,26.581732182485172,23.23334731583937,26.574651980470687,25.79069137058767,27.18308009667537,30.6738215302258,31.603897761437914,27.732062552914723,27.748130903224478,32.113193642586126,30.249245345603967,25.57203077858398,30.1373621017064,34.44476634075069,29.862237087598526,29.928398626346016,33.94812365447463,33.545835170133884,30.1897166294386,32.69805024566377,30.297284395701013,36.18168169174124,31.775549458667054,32.63404363151064,36.81906029140814,39.31098101525911,43.93673554199364,43.64028714369054,44.93944865377045,42.20289418579214,43.91546336833254,41.260472920435056,43.33732565045248,42.3467013181343,36.53470154712724,37.92429770108618,39.69770782947335,35.769369690992285,33.26637286648011,34.9547552464266,34.20723143840913,30.67492014359852,28.608985161160216,28.530965335945208,31.20439454529819,34.865918332085855,36.579115584089244,39.128802040084175,43.35947631852149,40.85622134647497,36.52882135879786,40.38186215248694,41.91807322679952,37.188139545388395,36.464065556488485,40.32528779813361,39.4937947049672,36.16521161124782,40.32424164848,42.24128641984008,38.914883849583354,39.014997496703316,42.39735753061418,39.90352087750962,41.57201784260958,39.39873981923729,41.572023015310386,41.16399358997366,35.55603320671737,36.92871927317562,38.08573059295301,35.507267922493206,32.13775465697943,36.70453220115598,35.797616102843186,30.57148515764503,30.71012556194141,34.93578562113949,33.37102437827506,29.466375324838623,26.20835951845421,28.213345427378766,25.2469365052146,29.11706150220593,24.88122410526341,25.886534630855323,24.625315901134854,21.61301769194553,20.74934193232934,20.91847442634271,20.47420231035825,23.96528024805012,21.18064578728209,23.25337761222136,20.938597205282736,24.423537013976084,29.067011689110384,32.17532495175154,33.27702944531074,28.35994556353381,29.70171894296818,33.07643396059917,29.308662030385072,27.844424192370514,32.14523568815753,35.5407836520705,37.19554647214331,38.27400813741419,39.46860315956806],[31.5276183710658,28.266243168530252,25.421035193795056,21.742094557611725,19.699349084598996,25.406568093429083,24.875702743566325,29.08308175534059,29.717934889119185,28.247149392893625,31.73245068917628,34.744122755150485,30.643330450542663,29.68255488764704,34.10106784554264,34.01905505197283,29.706673808120076,32.32555660024285,31.37088490991584,32.40190514461882,33.79965678902766,35.60375323534058,35.186507964804505,32.37659638998399,30.131730534558855,28.75945955646716,27.666963345214477,27.07299843100609,30.798530099661107,32.893874444817165,37.95238583724768,37.959086363191474,42.468258969756235,44.13972513496882,40.38475248159253,36.84181782290856,36.25396113333489,32.959785336159456,30.173061268237774,33.465061300710914,28.75923960777556,31.9875708863949,35.266905832494224,32.44789456131844,32.43008953368423,29.427638081619126,32.796917596756245,34.09369197266965,29.25551796699022,31.49222286938396,35.66207644544765,36.07405768610641,39.485265971361976,35.974670175135756,41.94430863410313,42.93313941966487,39.17177744820589,41.308596583916525,45.454830463735775,43.06222035858331,41.39482432185257,44.72581852513649,44.84217395745103,44.917127146619656,41.21826444654256,39.15351858081535,37.481676672476794,36.977756356621924,34.8116135898525,35.655369799570266,34.280800606252114,37.156258211383324,39.194482559524,39.920520391117755,40.283702501738865,45.73298407856641,42.829382871633825,46.87039776576211,44.39676105848852,43.16828579988286,42.00347094801997,39.20643881280638,38.949334445570045,36.825563719457634,32.85604505093081,34.604404553496,36.284842690942895,39.71448848241626,39.010965638203906,44.5344423674327,42.853270300551635,46.63810818035667,44.805656851154325,44.191723659497725,40.16625504859371,42.30921656102476,38.597109839618106,40.26303018176612,38.47314167811727,41.28424837322132,39.25764662857947,38.329234323736955,36.922965702781575,34.99683326873302,34.229290163495456,30.56647953660634,32.58419989962414,29.516285673774703,27.3129287859834,29.490719447960508,26.35001915038498,24.907818954064197,25.056765283044435,21.946633193861643,23.91438184379857,20.812658400996707,23.579616253555063,20.89361601815508,26.332151184147445,28.01199491141316,25.83520928545601,25.08893898840381,20.47199512303256,20.602990023471726,21.648114959244268,18.557856551825836,21.410347756237712,20.812965002979396,22.465201129851167,25.277878419477986,22.202652458762977,26.14976499537207,24.055802203654384,27.49455309478985,21.638894217430373,20.029004695818866,16.095525799631506,15.101800142975112,13.984944781974596,16.797489548819453,15.295248998254202,18.921555864509326,21.965528528460684,21.08415217223213,24.220572728568865,26.51589619641498,23.964951576278327,26.522563480880624,27.073973992010014,28.23549485119032,30.5099706661939,33.47990348400442,37.67243403307531,40.345532263363395,40.07244285608177,38.3548249352901,34.94212540688446,33.91459550143112,32.69818550141995,29.856230291725947,25.58243450213936,28.097967830562734,22.691766458559197,26.78679245083447,23.138663232510734,17.990535464389616,19.53296704593431,17.85466925478833,15.832409951104852,14.03194935995323,16.819104437610996,17.68230982918802,22.794184265338107,26.349615914401024,29.551734328723654,32.74673299026726,33.290194198216746,37.584672644454955,34.25509078827855,34.74886394403291,30.14459015468645,29.040790943289146,29.55254184853089,29.607119219697775,26.691022246163747,29.257226807494764,29.21056528120383,30.60911607585627,26.225269345558335,27.46757204015851,26.12549146633509,25.49846505360256,24.21033385271249,23.11685418774475,24.277961939901317,24.526156525948906,21.503852940694273,24.919564150101866,24.319285480822117,26.26408026693688,29.555299289467285,30.985326132670668,27.316622764395134,26.942707068484626,31.409768634321747,30.077492161046433,25.284206446294352,29.596825755665396,34.23459200009979,30.080432128467454,29.924188854103217,33.91852544122177,33.98344327022265,30.72814295305051,32.84966918841375,30.15735940144825,35.90483065239851,30.887572244706032,31.788115182877593,36.00976859860071,38.062434760460775,42.81809640544855,42.14831918709136,43.535673002960536,40.75491805242042,42.41653109471004,39.91610410177735,41.62952260335262,40.54592582930433,34.951907568912,36.236439901894485,37.60486478645695,33.70894993426105,31.339020418571895,32.81703333374623,31.74875706946662,28.385680648107076,26.403503421399595,26.800416920100893,29.773991588182977,33.38623060444043,35.408320931958364,38.149494135166194,42.499883612864636,40.27287718553638,35.83935132594141,39.765498333717666,41.62288727814787,37.050044556979,36.169082593508875,40.25869072424499,39.71222627110255,36.29675416917764,40.18616960114606,42.38613979915576,39.34685097622379,39.05939666897403,42.2381231977133,39.51319518618841,40.96499835678898,38.71536643178259,40.538210554254974,40.2316175627991,34.78215182534729,35.77057262000208,36.74798583246756,34.3327630380636,30.792310808913747,34.95858587838568,34.08282149853021,29.0331348553625,28.81014269004356,32.79941213783102,31.33833969021258,27.576011300625517,24.744467789362815,26.36705784578687,23.84118068620267,28.028739301023847,24.2528721598693,25.338145325922365,24.750725922888034,21.582976399378687,20.228654252457616,19.762455225836458,19.130806333082784,22.797985891037627,20.656388551564483,22.532778158160486,21.00182173198519,24.703757716134906,29.274344609212342,32.327599521973994,33.7902189673338,29.137800218987866,30.289952220912664,33.94206154824081,30.591949094646665,28.995739129637876,33.02346594999193,36.64197790941459,38.34424571179697,39.42354068844628,40.58460663164259],[35.13623018428238,31.967419372862633,29.302898151272846,25.413185324524967,23.569002682308383,29.049308649590504,28.32908758802269,32.507438613011644,32.84395920361189,31.01289308207045,34.33577096324113,37.5483996006542,33.21938068804689,31.972973108441792,36.245528770340634,36.227904563761626,31.69693547837359,33.88162284485831,32.30804652618269,33.46732925280344,34.367059128854635,36.067822404849956,35.25273079671098,32.194738844984656,30.394968616372957,29.25157986932717,28.68030136156132,28.552589343857317,32.551599015104664,35.048761428696736,39.78690418171511,40.25274731102694,44.69106732930369,46.03924828945943,42.325485525026465,38.55824062416485,38.36289941891705,34.57460322498069,31.692622717932164,34.84932310795571,29.778038445992284,32.84391495482902,35.976388393022525,32.91800261401083,32.37677386438435,29.191667326195535,32.38653789103068,34.21089082766899,29.645767291979034,31.67219094025717,36.09361216178727,36.845987558161546,40.221145480034146,37.01321455786433,43.04062928341801,43.58424133977987,39.77005110613776,42.27327537159199,46.21256440744178,43.387406482233736,41.87380404621319,45.33725761613284,45.69108646580623,45.316173068455136,41.597857181998215,39.94462269353953,38.090758961384715,38.02959617235345,35.6746143936641,36.907841453104574,35.29514966673058,37.93564265576622,40.19856047367124,40.62499652332259,41.443006484698586,46.72668937924274,43.90362125726713,48.13054537341417,45.709759744218,44.388156004721985,43.619776366816374,40.77403529262787,41.01593745606263,38.77390026157362,34.683971312913464,36.53643304274595,37.801958645951316,41.56813584577608,40.45495691205087,46.1627185495821,44.354956844289624,47.99066973793185,46.38670695101211,46.072282168995834,42.19774692089819,44.34007430193347,40.75112386900096,42.679008263791616,41.1507912777831,44.28516246377118,42.012929610093735,41.455065848277094,39.715934812960995,38.152544319152305,37.23894013992293,33.87520998213476,36.02571038006536,32.95309430747043,30.98855574489299,33.109634326262,30.073081450628056,28.313787442517288,28.38825789611693,24.998907860819962,26.49641723826612,23.085063154009703,25.383505640066456,22.18852914173879,27.105589028128126,29.388829074776712,27.22741727774735,26.949523740713772,22.37066866584982,23.072912297356954,24.612710274951315,21.772152646003065,25.12263414312886,24.366238992357136,26.090580057634323,28.60911448953506,25.65553632177033,29.43187003692554,26.96944033177292,30.447025184065044,24.56488934082011,23.10587180624046,19.573178422000606,18.22615796880093,16.726986157923942,19.039083441820736,16.413799665686163,19.43970948549778,22.91678578804104,22.649762940722788,25.736223389556486,28.436872581080397,26.14333372344631,29.097317629533848,30.015659568645088,31.36101267140069,33.9181271468166,36.826561983681906,41.12615180694237,43.79958550175072,43.29957113423924,41.54641191534252,37.97882474750344,37.12775357508007,35.56049521598153,32.94971722001076,28.358640107764625,30.377445112771557,24.735253201252895,28.644524145722933,24.856830277838334,19.5506802980891,21.34146885210846,19.05608540895824,17.755534431981513,16.23251292162255,19.328728478124976,20.194077811880373,25.12218217151248,28.766033449226406,31.97293826943682,35.40197784535045,35.83143038007865,40.13288765597942,36.52743187589194,37.215524963670006,32.372098895302194,31.868017021660126,32.05466041348968,31.794721717539204,28.814287991371682,30.83128902828317,30.59138329107001,31.582918667357042,26.691806153551326,28.288791928977,26.972803379175605,26.924859296187368,25.95069863626442,25.331729346770498,26.776828889319766,27.234196878830286,24.651544841112933,28.23744308605939,27.92745850005707,30.003677231349666,33.32714097860127,34.8607399985668,31.231766930339894,30.859142407010044,35.340128101680286,34.077427551033914,29.26574603554261,33.53033716615119,38.22191058219288,34.045378345963684,33.822215954191954,37.811974034682976,37.891617873171086,34.534271086243315,36.577395632047626,33.88149034762359,39.654982041448804,34.43444089450066,35.524924052355416,39.75677901703778,41.69806300341354,46.48086934533743,45.699467922315684,47.18415510177185,44.412811551583495,46.04217657671807,43.58353280777184,45.096151390655876,44.00846065018295,38.54960106553316,39.71197934731926,40.837017727974406,37.01564864315385,34.71231505897093,35.94309616217942,34.7090870307529,31.546013935083167,29.50540195692454,30.326938081890642,33.25745470847445,36.879606070173985,39.11276870709975,41.83609866778478,46.261913773009944,44.022804118953786,39.633487584466934,43.655309236556654,45.520514322040654,40.95429381963322,40.136122837873344,44.24761942683662,43.70168133504776,40.30051176124586,44.18159184922963,46.385232012156855,43.31891246265904,43.02328641778649,46.194539217250465,43.44890612522525,44.89407393857109,42.63944590119811,44.36524223578256,44.0659524351752,38.67487451492495,39.56404670414891,40.44185302867718,38.065942119972476,34.516966442274516,38.46279162230952,37.51144508207509,32.589729383915376,32.244280314643916,35.9988467038775,34.48337306925926,30.834630983097735,28.200394757660654,29.370746111944346,26.923870217733068,31.32038501322965,27.746217454436856,29.104368053795827,28.59635718674108,25.2311595110355,23.97995966988183,23.302793025503092,22.819430320375698,26.609390245294545,24.63616122391244,26.40256524683597,24.898273488912306,28.67630158320664,33.170876275679724,36.27580132195357,37.64330272974474,32.99162519093773,34.247348163210305,37.8412654757298,34.340161539308035,32.820597733634386,36.91799565824396,40.47511098827823,42.14469758100782,43.179185115802774,44.305222665256494],[34.45790388120127,31.35082291676795,28.649961817953375,24.41184978746795,22.28247349161677,27.114199079289865,25.83999853365526,29.847433781978328,29.819890426894787,27.525299096536266,30.671894193311164,34.00852530637347,29.465304882183677,28.04628565999738,32.1534516483886,32.175623690928305,27.539504955207843,29.525608730047015,27.79763670270392,29.12825787097956,29.99193772354223,31.911542436544106,31.063929408767333,28.10136857789766,26.25661836420966,24.86883005803229,24.45755791617413,24.306830836714763,28.375923058406777,31.072617138671127,35.525785510247516,36.313467581697466,40.66961111399728,41.87651561251559,38.261876188959526,34.402246892673276,34.50792834831712,30.611239379770602,27.869251709355815,31.44379462262208,26.135970944417423,28.845918398348438,32.17613341646254,29.31786761567778,28.831279649946076,25.927573120199835,29.370382835873286,30.96886427810819,26.556504980676323,29.13524379771398,33.32805894909808,34.1013877099155,37.262875657460974,33.79862679878832,39.79936479596501,40.27768961476382,36.265184795653546,38.55963241197224,42.568898572850415,39.78504046016383,37.94822703083036,41.218302353768216,41.44629439408469,41.030957583967506,37.39988480670568,35.711434253081585,33.62607991827077,33.56608418444766,31.10825642901925,32.4079194011304,30.755768763891464,33.38700241575766,35.64256152711452,36.04125677491027,36.945664661860086,42.23663681484049,39.54408277112312,43.82156175926102,41.542164424285836,40.38165092143396,39.8210628308714,37.23449846948724,37.62071061241903,35.68527382081455,31.4669270204244,32.98926901559207,33.946355155453745,37.73626043320264,36.303030268713904,41.991655554911816,40.02598316824803,43.56009278095573,41.99866856046174,41.80718977771647,38.009139481563125,40.14847988673684,36.66046330529994,38.74400353138635,37.44217589317222,40.902550613544015,38.45214074189219,38.383326626020455,36.41950155050061,35.38397753598703,34.77656358198812,31.6467502960581,34.31084032016032,31.601834936503856,29.733643135564648,31.31731299087311,28.251501321434244,25.88426827980851,25.616853854538764,21.913444049409325,22.818851593353536,19.198044151893203,21.18160364445623,17.792973050689113,22.553243348343788,24.953480805300956,22.809974270385226,22.767116157445678,18.29010151627921,19.396674684191513,21.438462422178645,18.935969743111162,23.1679677083869,22.285177912602453,24.477798457876183,26.84376458007368,24.714164601224184,28.634208938218638,26.0149612370326,28.88624825348698,23.02129532416506,20.992530912445723,18.357952983046005,15.868777531395382,13.61492321781599,15.540167821646321,12.266706655539943,15.444837605884402,18.72490900039116,18.65763372881051,21.885403902929617,24.530399810475885,22.34463983688959,25.51500889546171,26.835392217404674,28.25165633850789,31.240740547306576,33.97051980650619,38.43747821896271,41.11604701876838,40.22521674226104,38.43371894481509,34.69159555031759,34.16258145416489,32.195735904371006,30.098472918152183,25.36244632202718,26.88732469599185,21.291651801396426,25.32581966997883,22.079235074243076,16.864992712621316,19.548823356482377,17.812982640203042,16.99245186708448,14.614693982321866,17.677176901176015,17.70211130398822,22.54531281534837,26.030337059360424,28.96680462318481,32.45271760672387,32.45756010318951,36.987730328046034,33.42646683527687,34.44062348710933,29.775923877468703,29.511447495837285,30.161187628766235,30.136181600802498,26.87773393366856,28.377296509972048,27.58193721259072,29.071899191253014,24.159787974407923,26.33966061377506,25.602113507547877,25.273530087003987,24.99449974658997,24.566409358263982,26.327152603387454,27.341162786091118,24.59432996530779,28.29307642576043,28.18847966707957,29.608055577276442,33.41259269791877,34.4088459752511,30.626720750182578,31.000291137882623,35.41259778786577,33.687016698539395,29.34211157382756,33.902438077465014,38.139417872630474,33.807328300846784,34.05392365496148,38.06476436131118,37.631004882390364,34.46530253176584,37.07081149347768,34.62637301545074,40.43591770071735,35.920393658451566,36.61234856630823,40.794527468633895,43.0303505460354,47.747733813531866,47.14270458494108,48.265119684979965,45.333849109098175,46.77630132002775,43.928271319567024,45.75922072216938,45.05031790728307,39.31347263590824,40.282318061111695,41.947372927510926,38.29949727260875,35.617410057025175,36.826397820501214,36.31748528019246,33.108309770359625,30.42288014212513,31.050553524446794,33.21294937590902,36.97446587589121,39.13087476462225,41.462171469068934,45.8909548922911,43.203495175979235,39.06069616149608,43.294130185905544,44.71727390703936,39.99177399229914,39.63828142426784,43.614680687138616,42.83019409400199,39.70943806780298,43.917955803751724,45.896841163406634,42.71824585369668,42.929222341382946,46.26396410707729,43.72250044827574,45.14528470600867,42.71764466213559,44.79951044689421,44.74137749716817,39.15873044388528,40.155101480804525,41.493928858975174,39.12296841464012,35.45388493220155,39.80674906935127,39.23381729986982,34.101425074023,33.741934093378575,37.946995113667725,36.69681211643769,32.91531613949437,29.991493850502813,31.86573654296264,29.23329430681806,33.263089866966816,29.19249938637324,30.034397505983726,28.872696184694302,26.033991491100803,24.937091939303563,24.91428767750248,24.12649439735377,27.462526164555033,24.564455782657355,26.04805697462842,23.791803808023314,27.716228407035498,31.904269728557473,35.2230603481707,36.06082378423108,31.36930891898018,33.17130073630965,36.45915216100143,32.46359845503539,31.553812000711254,35.9394065548187,39.24433926041017,40.841469089572385,41.86410742383957,43.080895434233085],[33.0197014794704,29.664421448109035,26.341841190187033,22.83385472815641,19.703556872428024,25.13056504953326,23.858140038382135,27.665027998683094,28.389666881423324,26.389247952878037,29.76933805122364,32.63574232919341,28.022904266041806,27.419255075783727,31.409855091214443,30.983836946135263,26.502545977956334,28.783641195405412,27.63048747773793,28.262952060386834,29.560315545021925,31.076459802614878,30.749507475715323,27.950524516118936,25.628002447697344,24.565385431105558,23.35834625091102,23.148245482844896,27.018609964097596,29.338148825562605,34.53924376477171,34.56369848659385,39.087946255352804,40.428255798651286,36.54914465065447,32.90122564264557,32.3656034252088,28.68879054048564,25.734117269248863,28.790884197284196,24.02753979501161,27.387655336574333,30.523946963312344,27.633743158508146,27.65885508228785,24.66615713680399,28.057048372052105,29.242738093917236,24.392425105910064,26.702144053442623,30.819046027814128,31.2785161866022,34.64748826147777,31.18415123434303,37.16475221932902,38.06850640196563,34.33228484138101,36.57470420127849,40.65397733840744,38.22929033222924,36.68437292435643,40.150779622780625,40.43025108914379,40.50756863769589,36.71699125860169,34.72663314718672,33.40984073590936,33.09422215025573,31.305845688393436,32.46886390055209,31.289706486421768,34.34654374118095,36.036847021795374,36.36591815348173,36.627319526203024,41.847393000630035,38.67387533075823,42.723751105423815,40.08898721782624,38.66598203525523,37.58124027929045,34.646568085149674,34.68668413354749,32.42515988190816,28.385561043045662,30.296694394350045,31.84582257267463,35.50225694373236,34.78998649442374,40.47954957627594,38.99133834082263,42.88922757605091,41.3048891793386,40.86000993511855,37.068438296386326,39.49530903874992,36.03328867699883,37.37540818701216,35.817667080279584,38.87807127576643,36.20995271245842,35.54804638831624,33.55837128715912,32.0166058988463,30.906173163665564,27.76873569939915,30.090098577655155,27.149082399511318,25.50652586598284,27.42185395771289,24.72662691663239,22.51936019295301,23.004878488876596,19.396458041873444,21.23039569153159,17.90882519970716,20.24260584321292,17.408281844757397,22.77054337038489,24.68733349884236,22.95607738736204,22.54896888084722,18.212567707893022,18.587215401373825,20.065089240573798,16.555269634406002,20.292323312649312,18.788650851459845,20.488439133143956,22.58745209327457,20.11102121010865,23.868357228994338,21.19562397233398,24.328177749281608,18.446205854028985,16.883588333408184,13.951805099327085,12.183498713225498,10.974586388559555,13.015011049731012,11.213385486592692,14.400076833644237,17.660370020827585,16.930467420564785,19.8366736845785,22.54236664823121,20.26764120526307,23.2281887298855,24.07268494989881,25.848842840714507,28.39324276580809,31.657535240440268,35.74149324430922,38.916453602326776,38.19330506255698,36.060832446972164,32.436510425631404,31.35082846865465,29.663696940737886,26.83575147496628,22.066911036552955,24.140275857552343,18.487154495340942,22.359161896308585,18.580519534978883,13.356230159923062,15.292985781930017,13.684984912988488,12.299309764570678,10.101217644662155,13.131288509562177,13.7693167944555,18.68626270939439,22.31916302251265,25.546101943181824,28.994700144549306,29.574671670043852,33.74391998338654,30.11042736783418,30.763337927549706,25.96301171496703,25.482212621911764,25.787375256482147,25.709461766949023,22.61199935098047,24.71623065451784,24.506494748306718,25.87651257204393,21.43059772179852,22.89116003523782,21.835640714012822,21.200029247155715,20.459132620690266,19.77810136196363,21.412999166644987,22.36919276853763,19.698063457772346,23.455360986467742,23.617743341816816,25.168310575767602,29.034395100728364,30.23166206870339,26.616439299577053,27.054893956545538,31.49711689948985,30.122071773160233,26.060761741255593,30.483008413125468,34.74286297808323,30.94269992386843,31.297644208521877,35.2551672268634,35.07141480229772,32.28897478577449,34.82664521598025,32.205613434376886,37.77216489344062,33.157644817438786,33.447497770572866,37.582415579500335,39.48130546775585,44.266842507588514,43.35413458278147,44.24187977743924,41.13503817031236,42.36713768333588,39.424029769738965,41.110164441271586,40.57446012699571,34.888390404970146,35.620055754960944,37.28675267702325,33.81738460256923,30.997963675915994,32.03363177670204,31.781304251109443,28.700669978890456,25.6475573186019,26.52109514630288,28.468300212852526,32.238619589467724,34.623924092344225,36.92270705149343,41.45677250985048,38.8450826381043,34.71840554273478,39.134756285461144,40.673816064673474,36.06208348890614,35.79749175756321,39.96651774567448,39.41307162206822,36.381022915899536,40.443461527774865,42.645637544364924,39.82212542420388,39.871885765976465,43.029544766414475,40.346266757148804,41.43850077459718,38.78474885473944,40.6974590970918,40.97043641687357,35.469016870598274,36.05977507412163,37.569428481993334,35.436522940376996,31.476314926624035,35.68166040992101,35.524039527270645,30.468934620968607,29.661806811328727,33.98857258314669,33.16551829357025,29.48161462601812,26.861552904258115,29.03130985547385,26.876233259341287,30.806666447650734,26.920396738207824,27.2450468019029,26.43416167792836,24.005423517863882,22.34346989457605,22.16637104205164,20.778178500291993,23.76239722064542,20.897028449968904,21.886749285313204,20.113626561438714,24.39475018104299,28.266676581791916,31.624824413972615,32.64648117885031,28.316319513260925,30.181686325883042,33.66906799908298,30.02552584662381,29.31747007738992,33.47228250454226,36.94507121592743,38.575683569582324,39.62720751179406,40.88842737728707],[36.25145507867596,32.84573381643878,29.507134493323232,26.309670905569888,23.321827210058856,29.180810115907356,28.184968709398028,32.007020616925985,32.942933310116246,31.060597608277114,34.46205940024833,37.26892552900792,32.626377667511704,32.110047069963976,36.02969720708637,35.510167539786195,30.98809090911232,33.06355723596949,31.60270572303242,32.02844753986544,32.986746248368455,34.10130333725428,33.5724580638372,30.527875752834117,28.549916114292362,27.998521897518483,26.9803769413514,27.229860890427734,31.201663025904036,33.61859716971603,38.89782152942627,38.88882571791675,43.421205758003104,44.591243903895446,40.62236509721445,36.92658463716953,36.35306916330974,32.39232398261853,29.217425049810586,31.60017209674503,26.90526803561411,30.521682621152745,33.26351216064026,29.997447952546626,29.619951643172957,26.227454448321815,29.20037127708619,30.94259671426729,26.16356285644982,27.689279824620012,32.181275193782696,32.839293252630625,36.38668119089966,33.46807871341764,39.46092598907781,40.11706565732708,36.604056132694055,39.335394610022036,43.15404098510954,40.41068503036109,39.372700422527515,43.157617356579294,43.776368191379106,43.61518850807801,39.70420368236409,38.0546669404806,36.98310254626112,37.017811305903074,35.332638828020805,36.77395342395166,35.541354256091054,38.510034632967674,40.23771945528394,40.27730881945385,40.70819072244971,45.72311842860451,42.383857858658885,46.47926055554686,43.688351585749025,41.97596070495693,40.95896514627111,37.690977915125075,37.99992669395883,35.296440815932186,31.360472839686533,33.73106569067728,35.27443812789307,39.15979931239251,38.52659539892492,44.36534274154893,43.03692585607168,46.96528193077327,45.56760165440147,45.2390157087575,41.55881617550867,44.06546745452105,40.66966055863755,41.90813519715945,40.360211998637816,43.33217607753607,40.520738468791656,39.65567970707335,37.53705265689786,35.789452431176464,34.14807611063238,31.15898508901993,33.04071961223319,29.759440488650647,28.36338825207703,30.748332333784443,28.32838062465329,26.419710491880256,27.300337084541493,23.794610667991297,25.83860275891922,22.52422943482794,24.69502852437048,21.690949218555733,26.74900437829197,29.015884759778366,27.398924361569453,27.170879630890116,22.85712035710656,23.293772409226854,24.68640182987965,20.994020240660888,24.247556246863827,22.58818260534231,23.774848915805677,25.599033504244556,22.465412233233522,25.800806487055898,22.92909498344425,26.653909193103726,20.880207683180082,20.176965619197173,16.851250388798444,16.090132519565785,15.442436204867203,17.25313294851779,15.210644203381257,17.554889727877548,21.31181065816923,20.906207313859923,23.491485869246386,26.588270568573687,24.506495885348183,27.551578685788957,28.280116412599206,30.232408136561155,32.53723288049743,36.00345260102522,39.90416998298449,43.211393814384735,42.6297265753009,40.40262870232201,36.83558606943028,35.51219676985185,33.911585994456466,30.72965079605084,25.8741793069643,27.967250838273483,22.187013537245882,25.610577895920745,21.198251751655228,15.962406222123596,17.016787016138252,14.316601319278092,13.12540048059631,12.332691671743325,15.491833903149436,17.054157866104102,21.645278090860415,25.42855279740985,28.893329915716,32.4475086623062,33.421637342721986,37.24312633585671,33.33368122664224,33.789641155317085,28.645558831432563,28.50639934370609,27.974955472765366,27.358285112492386,24.553710436102666,26.686488209850367,26.934318446514744,27.40832415626067,22.689510345489,23.756814059576257,22.133700392022163,22.26360199145887,21.085028302467823,20.656482641954202,22.226787436295314,22.868890820365547,20.85393534144117,24.658363064585252,25.02391293171477,27.294950932903454,30.780650808973974,32.58044844498422,29.214225510858544,29.05871705790042,33.564263688752696,32.753434764570805,28.413713464048698,32.50260428183587,37.167260109658606,33.66603538639041,33.640246549629325,37.55900046171129,37.86649575405479,34.98719561029514,37.0188311229608,34.135272533445274,39.612945451982746,34.242219745079794,34.837697393113075,39.00706322742891,40.44556428601071,45.343325906430046,44.05324108947144,45.20212217155218,42.15501075476163,43.4112561283297,40.77550536436748,41.9565720540978,41.199371316106365,35.88256069018575,36.552045324531576,37.5550140031836,34.097336560973524,31.588079262067698,32.323496931443856,31.43783818296907,28.64260719420337,25.906634701795014,27.45867808045282,29.90894687913041,33.555373761767825,36.28136050786994,38.852867617334674,43.477504850770764,41.24602969730515,36.997253398026956,41.38582305459686,43.312140850838546,38.89703250095588,38.35982860075047,42.70804229316662,42.42357943922075,39.23323257721999,42.9727326422125,45.42684563695181,42.80058740163871,42.40371505446289,45.36188785856032,42.45286999275397,43.42410941342115,40.81383282486032,42.29120777970589,42.52119780446299,37.25644254221926,37.50951892509539,38.63839722240659,36.635697411878546,32.64063100772998,36.25974532310579,35.92057629175194,31.16664861705683,30.062630052743522,33.87964306821532,32.99545040828781,29.545726768927,27.449824493692407,28.819876051652482,27.081133739929573,31.44880481015566,28.1623536937263,28.915021200443963,28.804733060741743,25.943001154834942,24.03211403591083,23.096255091377202,21.83480541385767,25.180865830873564,23.265032706981096,24.229419950433318,23.304822056554517,27.577385683669338,31.4959704230411,34.7162583297124,36.126870896840856,31.96846737125988,33.50894137168858,37.228457647268876,33.95659202845039,32.92012684047667,36.831754389814144,40.4904572144051,42.16371339299441,43.19710825523356,44.37931248324611],[33.893915153938515,30.468543182058042,27.187646648956115,24.24854923147043,21.53856566428302,27.744208793436318,27.235588143125536,31.21105309228915,32.390593962151236,31.006606108152404,34.56727645663719,37.26558059960992,32.98774272169502,32.56174158148783,36.74311236675026,36.296321693290665,31.98881519135357,34.48892311117984,33.50602875066921,33.981234397678264,35.29807165997324,36.56456619874446,36.258244017413325,33.352466698687344,31.127825056394954,30.33393771599368,29.008816513028357,28.820116971167927,32.559544548253356,34.60786426453664,40.09064295931951,39.72561653051878,44.3143319870658,45.83513090340501,41.866029014965534,38.36673232660056,37.46787342603404,33.985629934968436,30.91191096660368,33.405018019722945,29.017619226942937,32.738662361318156,35.60283877305408,32.50021245714702,32.44363306949218,29.143999245796202,32.17989636832091,33.64131214445878,28.67985470218273,30.230483562673502,34.58533041458572,34.98768203194658,38.60308630958804,35.514222013756914,41.45753755388932,42.452306418009435,39.00517019502725,41.485851023518094,45.45047690014565,42.997833231527174,41.86265890565905,45.54025894400484,45.96592524318758,46.093752551162815,42.218021099614326,40.282535021334844,39.21999159402443,38.905482983744704,37.20619655942822,38.28073127051725,37.123880214048675,40.169439075073974,41.89680929392475,42.275917646381,42.45159006367322,47.65802038869986,44.34905256212559,48.31726541610304,45.52788860047249,43.92143186647855,42.57912023492025,39.348398106009206,39.18739309758386,36.55463708571463,32.75396342629717,35.0563402859249,36.976708331130475,40.554083921123144,40.245023169017,45.90985793348418,44.61704519796481,48.616979016285306,46.97602605947075,46.37595809315376,42.5024286563559,44.907890818691975,41.33029650292758,42.48799382447697,40.65037700486316,43.25847240334183,40.86379219659923,39.560252446626556,37.908550977523404,35.672476512424744,34.16932944123484,30.75001178271766,32.2966614470176,28.87807868404568,27.12308398741057,29.783734205162432,27.183366989657525,25.890802614832786,26.805322832447192,23.718379345128266,26.21543292128027,23.208074507647158,25.863059640488203,23.243104507227926,28.67919862664693,30.480006956664923,28.687580580436666,28.024361114578358,23.584010095605542,23.538517807630658,24.394383235810594,20.62056727626173,23.04669077284182,21.783426056508045,22.754877188529655,25.027146371331735,21.379713661812207,24.831953420080616,22.468056500841502,26.435579231002443,20.703978891036652,20.041855980112086,15.89949766909813,15.948951911451516,15.755209637314307,18.184576279235486,17.03819991537247,19.95156562162353,23.36493007177713,22.4804383808591,25.16881858856383,27.86202863474232,25.498386031990087,28.1115839817121,28.422058114137947,30.039951099216285,31.96561202479618,35.41253344026547,39.22478606006753,42.36156425633527,42.16661816861112,40.112491089230865,36.76166213858252,35.27088727614188,34.14639865293289,30.69624110500125,26.253917600905847,28.92798459197313,23.385356583146905,26.9923550471079,22.639591085946797,17.553181036479955,18.11310254347193,15.780241823724062,13.666624435214736,13.02298493789731,15.842645357125514,17.662407396207207,22.45356730070883,26.173648047052374,29.679097149715123,32.970773191972015,34.09904633767094,37.90787147823658,34.28427723653556,34.48147013909145,29.53917260632039,28.712958269727356,28.365259137584307,27.962922983177897,25.34815676022343,28.147033008808677,28.694909675332056,29.374670761666682,25.071086790796556,25.695080287970153,23.83856955990762,23.600515488190926,21.82164725153712,20.831324760997482,21.915693731898546,21.97136835501671,19.584290870230397,23.113983370318888,22.97460177744288,25.51251758349088,28.6252980251312,30.613004570323483,27.273532295586445,26.619344101588936,31.13047759893699,30.459803858165333,25.797241385975525,29.74479644611319,34.62306138738112,31.118620391826454,30.82916254166051,34.7267540053166,35.27480033737816,32.28883071570278,34.03791666758108,31.063013533829142,36.52371212210886,30.92910691962483,31.71510842822261,35.90497271024918,37.34337230985375,42.2365500445868,41.0281547913226,42.390886678956,39.493260159232754,40.96898209894253,38.57807762191139,39.79344120846541,38.73408115437294,33.45426335970526,34.445610632196,35.3296358380825,31.621101496832363,29.343204203520585,30.39642651713393,29.097134180534837,26.087215711748964,23.967672959319373,25.15882194555203,28.231281223543977,31.770350938616236,34.26515598054192,37.115321062838056,41.62561137138699,39.66996634117806,35.223066121754826,39.32049223651631,41.47969057947344,37.13238319329879,36.21933716939128,40.5621954839692,40.35805021265525,36.96580176272524,40.53655835306996,43.05507823820669,40.42991090354551,39.771423272964675,42.67439276184623,39.70461008355037,40.78977449663903,38.36765606105442,39.75532222859962,39.72299521275025,34.517034231747175,34.9081050917069,35.77716296247088,33.670357669546824,29.85023833683501,33.44482302009293,32.804711567358524,28.057741522198604,27.19688438826331,30.898969658025273,29.763902980949624,26.2737947832874,24.130990927444778,25.348797817441366,23.567554051150402,27.999054191282056,24.852182494192437,25.81527389287361,25.980901017478136,22.903980982702862,20.94403497526614,19.77985041226939,18.724893980623282,22.324284277216247,20.882807484745435,22.237460193226678,21.650484790877975,25.637081503541012,29.870607704594477,32.88480425968952,34.64801201479667,30.433148988346463,31.52007162023986,35.398457396199426,32.48053257274819,30.96452234463054,34.67525151118863,38.47039767938848,40.19827735689552,41.26385393791435,42.40464544250666],[38.38593777685859,35.08493217153435,32.12606724409361,28.866795577232402,26.633900607178504,32.64201928163691,32.06479035004066,36.11723663266523,36.934643255304046,35.24134900216712,38.65775361349698,41.62322539410161,37.16938411556956,36.34967387423493,40.46168449896568,40.15004067058611,35.611689619195296,37.68327730556035,36.023895552161285,36.699011010436145,37.44325629858945,38.60399122731382,37.81027474631901,34.60714805261782,32.94285004575552,32.398089287467144,31.692867944019035,31.98068563638049,36.01375940508776,38.487993508781706,43.58963367546109,43.74651570513717,48.25770819258414,49.45957657998384,45.552674455458124,41.80875101033989,41.35203018526425,37.353000383767494,34.19508340584215,36.53590215201962,31.746427616102224,35.26047175544291,37.94316311978419,34.551459610418426,33.840432573019584,30.30457359876717,33.0622844097902,35.21594683151312,30.61364882446481,31.81957999108054,36.49135898529489,37.32202838007488,40.89728749127733,38.21881883777568,44.21073049656157,44.66517272417099,41.181157525227135,44.11062897163559,47.81056517694924,44.82840444130875,43.908988465158835,47.739815625470044,48.44044729067963,48.02711502218702,44.139583206556374,42.698280767064844,41.39015857421611,41.57205531707152,39.60315235996831,41.07606510160212,39.616057041307926,42.3636331333806,44.40405179218747,44.49175363726104,45.212138997489916,50.25122657497666,47.07112618706721,51.25453738703985,48.54317717395596,46.84073356624496,45.95420140939474,42.6740477814983,43.06528848164776,40.303916607450844,36.38853465137085,38.79182779326256,40.24643952380739,44.186458025481436,43.407695080452974,49.26620663944094,47.80269262914597,51.61440277421331,50.20408973989618,49.92260319622192,46.17821747342902,48.53893786972409,45.048323955860944,46.56603315581251,44.98082985039985,47.917939064951774,45.35527228187926,44.42665453246476,42.49525642680305,40.60913417128899,39.000752729233874,35.84094578710298,37.48925064783075,34.05873209101512,32.47595173715278,35.09588326836791,32.51170214760082,30.988867703883447,31.721400728210106,28.39304232413376,30.381793362689667,27.048034731712825,29.278769351548792,26.116734016182924,30.990433512403,33.431107233509124,31.57765345535174,31.368442409119147,26.893421390419903,27.42000630133102,28.749492920876698,25.333915882337294,28.2018331224895,26.97835630101431,28.07673451702177,30.156251290387523,26.60212220699339,29.860735806382582,27.197743141167436,31.2128977284388,25.510755705485202,24.962384640490008,21.169954578920333,20.805427688121505,20.091214436973022,22.15192771457539,19.812917132319996,22.12535412778353,25.987027637607074,25.770917534344573,28.444778325662668,31.533800286847548,29.40772781387838,32.40642119150879,33.0911896669687,34.79798612800277,37.011441673987676,40.33214251980209,44.30366170959104,47.34487331859382,46.981128980397884,44.96204629263488,41.464831225274345,40.18882412260369,38.74462883333615,35.56287337891324,30.845164143879437,33.015548084860114,27.244608868738588,30.67204830601464,26.197143600339516,20.978742551025583,21.796605644435328,18.754875948996155,17.538254101499067,17.223306064807698,20.311451465316033,22.066589163712898,26.662272048570262,30.452107157108454,33.94489690834797,37.46327781215701,38.45137804129306,42.287162857720055,38.38923642055166,38.78394933672783,33.60303016559501,33.389162664359844,32.690082613081465,31.91847327743025,29.28882111100082,31.471024347911367,31.825796881937926,31.964783765370914,27.067039005308988,28.052162160701577,26.166704908274493,26.706206367332552,25.246045759279554,24.81241067605991,26.143213386891304,26.31741098289681,24.46552277944762,28.05373253991798,28.097572286601636,30.826320426626435,33.82486783205057,35.966558192781406,32.67459595345403,31.85619729937906,36.35556299148883,35.77146451717666,30.936165997755452,34.78909712216182,39.79866414243968,36.18694346052405,35.699880155777734,39.59138588780306,40.217083104777835,36.997691967926265,38.55143359183984,35.560866337090204,41.07641318664331,35.146119152307236,36.31695434867376,40.51501355731972,41.82673208776912,46.71556033365006,45.415503053436815,47.02177266994791,44.23505067190523,45.75876788082441,43.550430036967576,44.49022575730947,43.2984715361591,38.27538184973237,39.22783464059972,39.69777335774105,36.03107502914441,33.9864611590222,34.8026479891012,33.09279748550569,30.34042155585149,28.456116526223898,30.050538389144478,33.26088230208122,36.73344743167778,39.391146327718374,42.30202302220423,46.8411599725708,44.974832080033735,40.53498047239003,44.61825223197174,46.85797792828916,42.54264753936546,41.56856730538548,45.9095090065044,45.71142320402712,42.25331938297501,45.76435356590621,48.28758066714234,45.58722422219899,44.83538420627643,47.722512559661254,44.720690785258085,45.87348188490622,43.549315944948354,44.778057430396636,44.62007081104591,39.53241653865133,39.88738111582733,40.49034492844428,38.38503695576215,34.69150791467464,37.94896044279912,37.03941602249608,32.51609954547084,31.655876644914862,34.903140805452736,33.551667783101955,30.24699670976906,28.33892250209333,28.807079858146885,27.068083957928515,31.784309367025884,28.950455569511092,30.429450612033822,30.722079584260275,27.242812827508523,25.51809445603833,24.075096571361474,23.4283324440591,27.28714380115308,26.18642136308516,27.624577359123176,27.052345539103676,30.983342091815057,35.28253606186727,38.28844098957005,40.02268384085765,35.73374921045745,36.79230238555656,40.639758704461336,37.59358009646674,35.970358820148114,39.742676375691374,43.50410906420658,45.20174167650504,46.218982293894506,47.286282150811374],[34.69187150260016,31.34857121476337,28.355217402548504,26.134448290094845,24.180869456613234,30.779317453424937,31.106330444541594,35.18083715457557,36.72402391587915,36.0255664423728,39.71662678588742,42.24365467191594,38.43936683150027,38.1190998873942,42.52347087972712,42.136740799143816,38.06752059372462,40.87079000544474,40.17747863427021,40.62308698151871,42.07762484832498,43.27601346519093,43.04501334916229,40.1255395423689,37.89686789971397,37.14326193144367,35.67355545080715,35.31013385990274,38.85823393635957,40.57186517500894,46.25259324430274,45.50620141953534,50.12645979622275,51.932618080055164,47.93774185485028,44.635843019247496,43.388175621085594,40.26625171227928,37.202418402293254,39.392823867768385,35.386884518316535,39.31215268556077,42.0553870056524,38.90330841075637,38.89516040188648,35.468965591540766,38.27487092473193,39.81432468116199,34.78402502755924,35.84365547196775,40.23838333948332,40.52095419281859,44.278447132552316,41.39967375206151,47.24544898200281,48.424028134469765,45.21130397653523,47.731555983918454,51.654645876474845,49.30171286461771,48.393838724335865,52.144557700635126,52.577145796886164,52.834248482216005,48.93562580088612,46.934829001287625,45.99341387316789,45.53836996532207,43.84544718729045,44.69680267842745,43.559221928734786,46.5906578207855,48.382648101575825,48.96208106772166,49.00626331441372,54.28751586152033,50.944207589877934,54.803577626574025,51.939145009196096,50.278260807353675,48.644431626507775,45.27060380383062,44.77076178823812,41.96795914764555,38.4301045435975,40.905048397016834,43.194081788925,46.5601627245824,46.631896138748615,52.176840661233214,51.005464483902614,55.07375642210368,53.2804417916468,52.457523812250734,48.44549798540651,50.75096542802034,47.01677516342041,48.05527226063228,45.90702865015264,48.005938653315496,46.06638295145234,44.13372292468475,42.99135080194626,40.07971796910333,38.431996747149924,34.67045147999397,35.441258569162876,31.71642936050228,29.735514719607014,32.980116879714,30.4193015501927,30.133321929061257,31.266245487339827,28.806432700671536,31.798296310192658,29.146280787112218,32.141226498779865,29.790681283788924,35.37087873233078,36.920857267719605,34.99382831542028,34.00867154029969,29.500036223632733,29.03860314646626,29.277034653816,25.513184347506986,26.595950218865866,25.825497932952725,26.178807700106155,28.711151597714476,24.184567265894255,27.250274218224867,25.546093960122466,30.024895021392407,24.72120188674599,24.659756763668973,19.711253448556047,21.111663797478055,21.547095210852945,24.330713017505495,23.760144921582473,26.744930664896913,30.08920686390998,28.97261300768338,31.583213687131195,34.06428744897582,31.55381022880012,33.73470185145558,33.53252563482263,34.81870884439915,36.109673841887734,39.562610351477204,43.089559329805674,46.01233786244794,46.41981155652039,44.568334039018126,41.565555865739576,39.76622735917436,39.27585042318375,35.38262418801641,31.46723130023364,34.700470581006805,29.421781202995714,32.90414401952564,28.355339293396547,23.565133446500695,23.197071229796183,20.752621272127396,18.111512260786277,18.425404283571698,20.736243878818822,23.142767211093403,27.750348232031158,31.376626729187304,34.982169694450235,37.98363273106467,39.50339462912927,43.03519565666094,39.6116218423544,39.38524913927743,34.55342307524664,33.1949317891736,32.51459035464354,31.9988529030663,29.899370274561214,33.345370475077544,34.470715327982724,34.78225817197135,30.80017840160125,30.71772887861474,28.302132903638306,28.208946272207772,25.565474119653285,24.17316522077893,24.52313874547733,23.517540307676082,21.381047871900975,24.23649457703587,23.503671454875228,26.88226888113996,28.921700527725275,31.61574697470748,28.67310514235727,26.776825246074143,31.12351296433577,31.171543879265602,25.978926653242265,29.189426221902202,34.58543047444503,31.426936608297,30.373500219172207,34.056017702297545,35.393884279673024,32.221898996093614,32.98260033388948,29.73170993253772,34.90928035429718,28.347740181658217,29.80958195204262,33.92929015376381,34.88899701583874,39.75759182022879,38.3660978878241,40.35441935385241,37.85368781458142,39.69495829845966,38.067337313800024,38.83253952025305,37.070756493355866,32.39026074100135,33.82723799601332,33.82770882905442,29.82870239633211,28.377209924256007,29.620562364470462,26.996930165091353,24.066178401597217,23.521684122374374,24.679427479429414,29.035138923728013,32.127580742466684,34.465307240331924,37.890366195345855,42.17826253608307,41.007790529527675,36.29430719435963,39.789719574804586,42.57406703808148,38.59743584960027,36.91322210811679,41.26773243696092,41.40270677605561,37.653524983625346,40.5951017207464,43.3594200679138,40.93843656906732,39.506361378517134,42.08311586569172,38.89182641186494,40.05014046360818,38.05379033046746,38.86555593186126,38.33337741295703,33.60249130443897,33.92007223919828,33.93124932596149,31.824474033000417,28.455775403321542,31.272913616871406,29.87921416914512,25.659597328383594,25.015117180041358,27.75850456358308,26.067481155562938,22.912314722462543,21.37102004996112,21.21040086404351,19.889341730900266,24.75332536173424,22.691525334082364,24.485016796690516,25.747767653936698,22.063470297081835,19.999441206281684,17.72699375261155,17.397026816473264,21.512792836640525,21.84450672003973,23.688957576880583,24.236410213357225,27.544957903345484,32.07809637690756,34.56976801410592,37.06482493875948,33.026511010481066,33.17361967801863,37.32037153117023,35.242798363545326,32.84046315134148,35.94514207331281,39.96179795123319,41.72683410896669,42.766480988097726,43.72405758062655],[33.91192843379888,30.735905509461688,28.221910867416526,25.24429365590195,24.00026323817453,30.21400381599475,30.518497526937406,34.83350790245174,35.83055876060393,34.9700235916502,38.56546226207384,41.43739462229781,37.70280775228624,36.836663432837966,41.41672819097476,41.35931848184112,37.19361420892473,39.95714902590821,39.05869887322162,39.992964064679434,41.327965191942404,42.91126981415633,42.43250481058222,39.46844917053261,37.387802220202936,36.279792502592194,35.171749163570595,34.666182487869264,38.32598300957379,40.23040995164809,45.479940569833055,45.199833022367294,49.75126103382191,51.57501098815298,47.75368343802892,44.31499651706108,43.45459069877199,40.27378134001789,37.36445822040834,40.14990330445261,35.70064835095391,39.23253176318211,42.26204141672499,39.202322802860365,39.01076746715347,35.69229905356518,38.71176539889386,40.36597648016455,35.47240970148367,36.990140688404615,41.412521694914886,41.84875421551825,45.47531399689023,42.35632289281894,48.30560462248146,49.30458502849722,45.793933392406956,48.21401631908758,52.22619633244184,49.7239899483229,48.452339271015596,52.00326159873277,52.28589954970208,52.320460714037814,48.53784013723401,46.5893640285987,45.085950526936685,44.647994724211365,42.4981236932601,43.30295482781595,41.891716014906905,44.68723360493894,46.83547853987586,47.5943315069628,47.969970772436994,53.40259439929722,50.41399307831302,54.420172648924016,51.82254630105873,50.42189637450024,49.07689044505385,46.004596978878496,45.61918625289154,43.14917752815371,39.38329728351451,41.49183830760724,43.452664448877975,46.85655346530432,46.45436112228852,51.98323846847691,50.43931764904802,54.284539979166965,52.41034500672672,51.68245425175213,47.581855241458825,49.66452047643868,45.844809793641616,47.414581244886186,45.382044722588525,47.76515737254863,46.0548339075436,44.54841604652696,43.48679988534106,40.93333030172031,39.82125447003031,35.92042477275895,37.15468095656423,33.67327740371076,31.368556973343804,34.23094882465657,31.205493569768766,30.686527078020994,31.184200721169844,28.590566586671297,31.054494255849693,28.21291187187623,31.17130359479453,28.585939791180756,34.00780467162919,35.68228956042919,33.44293145508353,32.5373002806653,27.88249253150682,27.72408576560866,28.242242030691052,25.059771591820446,26.634005491262677,26.34837918574392,27.2956095174106,30.221427419397152,26.127587426276833,29.644304436488795,27.936238030103187,32.08414765431412,26.504325618266805,25.727242714785955,20.93007803711897,21.433074247015416,21.0971235620525,24.060885396440195,22.868886690934165,26.181345360322275,29.46613493240785,28.5532610189959,31.51285911378846,33.872171363872575,31.277982440930845,33.57615079716838,33.68582819152689,34.671064912916094,36.3506777269596,39.40415660527783,43.317741163766414,45.83874523067734,46.12571307952406,44.554341520874466,41.433710416945104,40.06744102605814,39.382347071215804,36.02288010651761,32.06565834757692,35.044345087291326,29.69552023437033,33.54317907859678,29.378258617582834,24.319757005029366,24.794452479841034,22.483773781596813,20.08528774277872,19.584243514116558,22.16682295895023,23.94889991998769,28.88232367820301,32.502947216464655,35.93727540869866,38.996187053221156,40.01906648824856,43.983634778686415,40.65278429261655,40.741872434367636,36.00939847895158,34.64860696658258,34.52987585940794,34.25022031120339,31.812773650362086,34.91060836419762,35.508567519311335,36.22386199962483,31.886910503654637,32.443213409557735,30.398828490957587,30.232304066881216,28.077900085381042,26.78414156715414,27.38919223599473,26.698733973127712,24.109643126391358,27.070502593911087,26.06077148298366,28.999794434871156,31.271733859908334,33.52973656403996,30.25695672209585,28.58435967002517,32.95687844178313,32.42318637796482,26.996024025345488,30.569857607796948,35.83865195862155,32.019296569007004,31.00480001603298,34.812126510998944,35.74765547803905,32.20906129145888,33.23362526909047,30.209668933374804,35.732651525117745,29.55113827907326,31.276093104793976,35.46609867955042,36.98874233300937,41.75015029332446,40.84186865873044,42.92993369783035,40.54667122309856,42.56974093201076,40.85329573416343,42.004773052460514,40.20795835144043,35.25502239871898,36.92475617842236,37.28867850220681,33.12477914845816,31.580603293114816,33.119076906555804,30.67392793951318,27.46398249899387,26.92618909734078,27.546793402635437,31.813385298907946,35.03446795073411,37.05424475701575,40.40404890311361,44.61170327885091,43.187396351883386,38.45460560794618,41.85858679996613,44.403485532569924,40.19620747804838,38.530899816324926,42.69570582909407,42.52433435318526,38.70909499437387,41.946787835838876,44.438741918064885,41.60164142284979,40.465620746160276,43.3093306264469,40.3152304209702,41.84239913810792,40.01164962015416,41.19049773918106,40.373992748364486,35.40977970650718,36.26912916312196,36.326108881579614,33.91277353488192,30.797753036549913,34.10175389179583,32.41626925862839,27.92235883648654,27.867095317736837,30.817782765321134,28.748938615943672,25.346706689296315,23.147120089498095,23.17373989737984,21.029683276271342,25.822942045654436,23.20093869415992,25.346741208558242,25.966283681177597,21.957019538326247,20.516710754517028,18.786425592586077,18.98150909646758,23.321627695711687,23.05205435262218,25.373420908582144,25.10607822224507,28.25108334291762,33.14486953883172,35.71438850487478,37.95520212123099,33.476788354825764,33.68139251550406,37.660294485905425,35.158869852671984,32.61848243917976,36.04314480259201,39.92851951252648,41.68321027341319,42.73096606508807,43.689755755504706],[37.693988465802256,34.60424403884707,32.24659638609874,28.996274549159118,27.863761968667085,33.89891767902498,33.997754729375,38.331959446057446,39.05628020005193,37.86601159496569,41.34867872431676,44.42032667819625,40.46565700593826,39.3417337505035,43.83098679720154,43.836511577562035,39.466050752526094,41.88783647998071,40.48073725481394,41.5306914061219,42.453042126896015,43.94987938053711,43.13349132680799,39.97033426575897,38.27243566520397,37.35104248173295,36.665869235522905,36.52520406077871,40.42089041031877,42.6688414289142,47.661805407466645,47.77981317640413,52.28750067623373,53.84066217334359,50.04722477721763,46.4058067978784,45.88016136422981,42.274664789149135,39.2813974820903,41.96795380136801,37.208862344659074,40.60484746823082,43.50945135581062,40.24893169679989,39.61196712130117,36.147222837824486,38.98631154993366,41.09813710581009,36.45169953065426,37.76658536402401,42.40007178862274,43.13368018332342,46.72878869027783,43.88234275453077,49.88124828584225,50.48561265303331,46.93736866621464,49.67881683006919,53.50629983147513,50.62209401147024,49.494743406730834,53.15925427896257,53.64880878840277,53.28888301938918,49.495017148896515,47.902944663030134,46.239144209874155,46.17252356478999,43.85256280347744,44.97780991648709,43.35901946370281,45.95041825266364,48.30142075389622,48.8141309111932,49.5837187856211,54.88182391414262,51.96824441341925,56.139998254324034,53.58877332822767,52.108693563522955,51.10607294491415,47.988414538162814,48.03186855148275,45.45775719470985,41.57558501172654,43.77184873553406,45.3839360623066,49.08201068697103,48.3239823204496,54.02019136256154,52.357987960812785,56.076058169731176,54.392693568896455,53.92133936320966,49.93382643943598,52.01597583106963,48.28419892912032,50.099288065202536,48.28506449656996,50.97011063673898,49.042378462642354,47.86487377726004,46.50765078143487,44.27057119731404,43.04444109545797,39.38232867699287,40.77778621965627,37.294079918518676,35.186561987309226,37.975062226449126,35.000056113187284,34.14986136510381,34.55783420130776,31.675360959107763,33.76197633809728,30.63533453720657,33.25679039232323,30.265882973207088,35.29408321754977,37.44679702873249,35.20302582700749,34.662105840769215,29.99886237892146,30.29038024375481,31.232954975256547,28.217813337911313,30.324931788608303,29.892900309946604,30.97679562168889,33.68155630269131,29.729704134221365,33.14840137541422,31.09024979371688,35.25691872893302,29.600726578979486,28.87572564808597,24.404152101285423,24.481262929649336,23.774790844044677,26.430115196196095,24.413151011342837,27.307377403139032,30.906599890020555,30.45733602599856,33.40229371567939,36.089054181955106,33.67783351871296,36.320086784986145,36.75063161313315,37.895700920337454,39.86000999470953,42.871227156133955,46.92041503279872,49.44763415003138,49.52320000696709,47.917962579931825,44.63627617601585,43.43030365392465,42.42512127743559,39.26083787568627,34.99455927287457,37.574724148887235,31.996572938699543,35.73134609179939,31.448844687682875,26.240296393241692,26.947649272859522,24.164908382359442,22.358769605164152,21.98529591339091,24.850844212198425,26.5921861464663,31.444321161781914,35.16060008457484,38.61229806905405,41.889731987454546,42.80439246523489,46.80778309008565,43.22773492022199,43.49267593221687,38.53899183968671,37.68521374243736,37.31192301396153,36.766597876629056,34.25598888266067,36.886492957824835,37.31844113766112,37.68856597091511,32.93196885534184,33.775471508077096,31.750505203929215,32.08458530369357,30.21211900856675,29.337100614831204,30.213833591101558,29.75252399322871,27.536931199675536,30.6814535497736,29.96395264198755,32.95158728907218,35.317224978090294,37.6214597166138,34.349213842034786,32.76413246749326,37.14848267537205,36.62593382089177,31.218039003088077,34.79210213638163,40.06468763651385,36.1962058608816,35.167643193796614,38.9684765674375,39.86986073952542,36.24380551501157,37.24373147620942,34.25668274818161,39.78501101490891,33.50771359396339,35.37680934761496,39.54601480371816,40.97157084345782,45.721792425206225,44.72244438449349,46.887207137170634,44.52209486728352,46.500761865125625,44.81427603009778,45.782156511449635,43.99993999457698,39.18700123463637,40.722183310907376,40.87150019440022,36.81419599811787,35.319921940622685,36.60877000351943,34.054076467229805,31.07558436717403,30.423673960653716,31.432240904355503,35.578801851886446,38.822296817799476,41.03535816349211,44.34626982768256,48.6269921047891,47.1675273821001,42.4793479419749,45.989238196584616,48.519984875264385,44.29577021138167,42.7149907131216,46.89639616130396,46.70719799250701,42.913080137201504,46.17125762227552,48.651509946166804,45.772487440023234,44.66238937685318,47.50896788609093,44.514066752732546,46.037117264686096,44.197315366580476,45.304326179879574,44.504512167848844,39.59815534521741,40.37262329572778,40.361173482365956,37.997672509256546,34.88434284960413,37.98322923306904,36.255937386200735,31.921488459745046,31.745097212711137,34.45762752359205,32.371584335521554,29.134319209756406,27.1395734239475,26.77285525160133,24.738541775626878,29.608180482771594,27.16855121658391,29.49162051558923,30.08079345058096,25.97184156023942,24.673697663236023,22.901915523802526,23.165527648511894,27.510271866072276,27.218459947660392,29.41730383229958,29.047064098864862,32.3257259042902,37.167858034193166,39.82155698531851,41.944291856313406,37.42399742199056,37.7739975073142,41.69549587799087,38.99766031865789,36.55489801598185,40.09189421730524,43.91260702669972,45.63760943040242,46.64382982103182,47.57721713414872],[39.425252571681725,36.563651470517776,34.7030465324388,31.618441610063844,31.258315313260596,37.220063042273736,37.777724284896664,42.22364937291787,42.903737612739555,42.038400097474614,45.52377742223645,48.636878153170095,44.99874114678339,43.70097521582281,48.367313240787254,48.55276116448741,44.28454000138878,46.842814374849304,45.50234380802067,46.736904341685566,47.672293768391604,49.28276681591289,48.396276196555625,45.20897739322046,43.586051147497194,42.55536707106112,41.94139718144899,41.65948840411419,45.49265987647695,47.638511389994854,52.545361338968874,52.65914590523372,57.14883645719698,58.864834426681234,55.13541949243324,51.54252104336975,50.991979494318144,47.54935386863102,44.61560466075172,47.37096082085878,42.6336373676064,45.98789879637236,48.934333091372345,45.67847579799794,44.98276052605177,41.492312356854015,44.273993725803514,46.48895482798519,41.86660654496991,43.08335347165544,47.75580181392646,48.489983983830385,52.11468164996785,49.3004791400163,55.295219432107615,55.910537963839296,52.372748456534616,55.111718300998035,58.945127047228354,56.034660196698525,54.89266193796784,58.52091922424023,58.961978949723466,58.55954976395465,54.806225526514666,53.21797162122,51.379769854102896,51.255064405523704,48.74177644999075,49.72530044931368,47.996062381337985,50.44345804905576,52.99629082806402,53.69614914264987,54.553039309315096,59.94546287992058,57.17823864931815,61.35576706322614,58.8804674865744,57.47707308211546,56.44252416056592,53.36109087109944,53.27624961196203,50.732135422025095,46.89276322379534,49.048067207274535,50.72474934363492,54.33336834271632,53.579947994329075,59.206463226801574,57.4470716106221,61.094878802144144,59.29549759221132,58.746701605443896,54.65006975502026,56.56386527778291,52.71660201743169,54.70586948519203,52.772994117742144,55.285778498569314,53.72683215799953,52.38180508232979,51.342420369661646,48.88376066479593,47.7918788314565,43.89615787244582,45.050831153362004,41.51162195439389,39.17268981927052,42.10681377463409,38.98934867282912,38.58379057063019,38.858222420060414,36.2653686006656,38.39633973855782,35.399972604416654,38.16904102891311,35.24501822667215,40.250492079104546,42.31307805363755,39.88228390879421,39.207853196386104,34.49986230703332,34.690371365930204,35.408714412382906,32.64912258708065,34.23715083302517,34.23653976226088,35.217472206302446,38.18396548997826,33.968001693061595,37.32981330943146,35.60891149851397,39.904600703516515,34.36715016338629,33.687026177052644,28.910392709028468,29.31348928712551,28.667402871658794,31.535089762403263,29.622443696748327,32.648942201477325,36.17981773306175,35.6826768281953,38.70968467801082,41.24617778628894,38.73050620783544,41.191478760149515,41.47452062046059,42.320415668442266,44.08943344303456,46.91485688645499,50.951648037875124,53.150824467469846,53.52826980108774,52.17917108811952,49.054707204717715,47.86578164203881,47.12992268316501,43.94583342088583,39.936431237701306,42.71197091472881,37.23143463804702,41.04138217103867,36.781044152941426,31.605820939172744,32.15025971776747,29.365797482051068,27.375920236678418,27.156588403401877,29.89458251368539,31.717630791043778,36.60846485004712,40.287226193077245,43.73622917579765,46.889904883946,47.820474625970114,51.848002105538974,48.40364968010027,48.56605235814136,43.694810642655284,42.56915648265256,42.22555693351782,41.702595478899894,39.33002004639207,42.16596637094627,42.70539172495704,43.02591918010435,38.302468639696606,39.015349207153584,36.839479572612035,37.22261261788414,35.094445486346316,34.06114820669661,34.666943138092925,33.79660869981738,31.578795696398338,34.38071195639169,33.26416128732191,36.48545063174026,38.306489800011335,40.80373696203666,37.665996584542754,35.49404990892668,39.69947166071837,39.36012042148308,33.650179521934525,36.83966631429409,42.26734411842572,38.37414688916228,36.89275157843598,40.51655653487452,41.71907109230752,37.8548346085416,38.282059794225056,35.320430579415465,40.677959353150605,34.09610594472829,36.54199485259635,40.58138008621169,41.925779690843164,46.49537944867795,45.63948726043074,48.27020284957025,46.278943926441606,48.559247027491935,47.355355032817506,48.186832516908595,45.952139642028754,41.49665506884107,43.38431307686145,43.11882997124006,38.88911685748586,37.90796261177532,39.3979784044297,36.151073127816304,33.20604341491738,33.49820367455587,34.26310104055265,39.02127113802574,42.020613454178196,43.981941433809126,47.57139540905986,51.64349528009699,50.56588929475413,45.74960434878024,48.81626948193213,51.604567584847686,47.540073758399835,45.51370617501093,49.56320309967345,49.444546382661464,45.43832394571245,48.38823038056867,50.8617366076241,47.942599548692705,46.483066290701316,49.20147504157957,46.20491619367885,47.942214423152954,46.49408338715553,47.3804912298859,46.11404279492306,41.5080292900049,42.47755683002814,41.91231546016185,39.45297161783961,36.84490024998351,39.57239591000669,37.218671773992476,33.26997367256858,33.52030494566917,35.57574103138986,32.96862226283777,30.00430983489936,28.20865505875409,26.91556815104512,24.89503911151294,29.77331700811646,27.96466814790914,30.949778005473615,31.902859484785527,27.41072638901514,26.448177630987068,24.35307819582812,25.2969509212222,29.83163529703825,30.294191156745164,32.884773994556646,32.79842372569223,35.59316158747929,40.68764449414442,43.04330971511594,45.463099263257014,40.89455389827495,40.71434056361105,44.6629526265567,42.306151601146496,39.30224121527865,42.56022761732766,46.39165847860696,48.10841248788137,49.07761696404527,49.87363742515169],[44.41163786101085,41.50944426412308,39.50477215582307,36.366680435069,35.67671518949367,41.665043687524474,41.93732135159953,46.31907981662618,46.934292702291245,45.72991214912063,49.14224142184305,52.33037805850314,48.375922199836985,47.04779288444488,51.521515056836755,51.61708319064052,47.15847483326116,49.345043289995026,47.53630575090568,48.67241287569661,49.19873358692302,50.536234316831504,49.38970185038009,46.0267346922157,44.77531339647616,44.105191260579666,43.7993984859161,43.974671240669174,48.008708756447234,50.45716313600755,55.264914632163595,55.62762334405006,60.10079445333733,61.483426017489236,57.71383650156734,53.950231073820625,53.61808966900499,49.726580669936666,46.650418472422096,49.05451847402131,44.174769406972125,47.51182788447416,50.18253549609039,46.696108177566344,45.58326276218508,41.92907983335028,44.394504729875564,47.0509234764006,42.70166751871104,43.51268873649676,48.37052130374901,49.34879057837004,52.9637380433071,50.55488743319931,56.54525904428653,56.77308806890848,53.329708964926745,56.45810505896338,60.02816282114819,56.75737040993306,55.93579345396436,59.75618124250895,60.499735825773925,59.74612877603252,55.94664819943757,54.751191583234004,52.99032286962105,53.27730384986256,50.79984039006905,52.1655117121783,50.34408651805627,52.676958613470866,55.2660434618665,55.59744067602299,56.73644053872112,61.890106310357496,59.048885097065586,63.34270399147314,60.8075115860125,59.2066339977693,58.44977092537788,55.20913098245062,55.56927007459282,52.79388328508696,48.92022255142629,51.30377095578629,52.711392015625655,56.62904422237808,55.6684874590287,61.484094327904046,59.756188720966996,63.356722014421145,61.824157707449594,61.53348658121142,57.61348603323209,59.639747066241036,55.93954720872083,57.958473038691885,56.233360133277806,58.994078077762566,57.051160626571,55.92452424073729,54.487329335440144,52.26801167747081,50.85095865112935,47.28648944260157,48.49399700838069,44.88142198003144,42.88568630080213,45.84878581581022,42.95429156925023,42.21448620433473,42.64170830018142,39.74772104778594,41.693296899116916,38.46357835860255,40.885138138190854,37.64251927111941,42.273790070520086,44.796343252550315,42.518767659045636,42.209072341887854,37.561965539411126,38.09466620185644,39.16299595188419,36.29785378468423,38.34209082094215,37.95165123940599,38.896054949764576,41.486251860086206,37.323399427836776,40.45406751748148,38.33543008407791,42.71158344412338,37.18978128609946,36.77188204366591,32.30921695291277,32.52674031061774,31.778142381430946,34.272282002131014,31.797260655970007,34.23247678758243,38.07166758679485,37.97807917311532,40.83503344661913,43.7625413223669,41.48370560668163,44.27834334940054,44.800811116825486,45.96841006114997,47.9298566707686,50.89688499443313,54.944571741802285,57.369092609101486,57.50692436007924,55.97432502808527,52.69072069898018,51.50479501379354,50.45969648356494,47.287063258431,42.93358016662002,45.35838726032569,39.67149040599013,43.2090535820466,38.72104633145367,33.54149025891274,34.059129601065514,30.818557655196646,29.39059321844606,29.507095590902942,32.41120623228229,34.36027021478542,39.036930492975145,42.801332545723135,46.315301091407264,49.69203032650084,50.68255081519714,54.58531832372623,50.82505750810224,51.07702274068472,45.94191428758846,45.39229268967426,44.590194454113885,43.71014004230792,41.37552766467485,43.786508760146056,44.31641909519297,44.121315488907406,39.12606952769517,39.93045326015779,37.702359561828864,38.6307428052412,36.70281378637924,36.102506066231065,36.93476455635571,36.27351983213294,34.58171116711927,37.57395638591183,36.90500329189376,40.26490866605533,42.21005746299289,44.861020173599364,41.794793856897165,39.7526548263033,44.007678225305256,43.83373898090039,38.258860627376244,41.42879370815028,46.88522008121866,43.1595158744425,41.74591357145384,45.36905749465948,46.61791439781729,42.82799313917418,43.2705441787999,40.254992682755535,45.53462447247098,38.79644500088751,41.170458392196046,45.18746340806527,46.239813457084836,50.84471221024802,49.69724081078854,52.293109827849605,50.21279465285427,52.31557734208421,51.09335684197871,51.607141066718086,49.487983480000395,45.230989272921214,46.824680553563226,46.272551504540274,42.2768089769059,41.29462876061168,42.373737047128465,39.103050731850175,36.524241221289444,36.53090805714201,37.88602175245106,42.41494360678176,45.430234227117445,47.73738374818368,51.25785217594107,55.47128371206819,54.38061414979464,49.63818467924093,52.93460875093668,55.7460599494977,51.70994194325869,49.8504676420398,54.018440053144964,53.976894291757276,50.04597485577043,52.9799929186348,55.545165576602756,52.735635619319886,51.26201941177364,53.91587327779502,50.844563258245266,52.403893618053225,50.81011936562043,51.53255640199807,50.47399255665002,45.95253524373683,46.607431389399196,46.06207905458018,43.78773337537611,40.99918992261703,43.409008266205696,41.247258148153435,37.49842561237477,37.34899910481079,39.19643397722258,36.824205268921695,34.092214622075694,32.67538505246499,31.15865364643128,29.527555663462493,34.46226382652337,32.868869242522095,35.75049321122763,36.79939020241382,32.385102332206394,31.269168340603176,29.058452378899872,29.748048467877364,34.181457146716056,34.62562722616125,36.885583957162545,36.88979269827712,39.981518414398074,44.8874564701406,47.37335491645407,49.71190147634027,45.24637578168586,45.291789959139635,49.2551937586827,46.77830339706923,44.01096740491228,47.34517191151876,51.19259696879285,52.90194839400284,53.85898360319763,54.67206352345503],[43.0963317218698,40.444654001104794,38.96167204532033,35.87431632182497,35.98483191077467,41.787679233601025,42.51344511102943,47.017194738739256,47.54497353467741,46.731939415180086,50.1555306817575,53.372994892642026,49.8421068385766,48.33130149782045,53.05074843625702,53.3744071313858,49.09527503430537,51.58511152384105,50.077303208712614,51.4759916654964,52.24454149209165,53.893269844916226,52.82019021833279,49.55141908044292,48.14365326748831,47.11725016664981,46.724957549993576,46.50234572193324,50.38435089332839,52.60815431725413,57.33505961838323,57.62276796778624,62.07539825663555,63.77403035799762,60.10607719982947,56.46111177577973,56.04397101175583,52.53083030378881,49.609548746440375,52.37776628630019,47.529756241590974,50.78334375995776,53.70394498384465,50.38555302647736,49.47358756266239,45.93373389561428,48.60236823563363,51.05278780071404,46.56983793308946,47.65883002140248,52.419508254964114,53.274278038015055,56.88767092059915,54.20140085992073,60.20537287322253,60.65656980502224,57.10859439463033,59.96819359613657,63.72267091253728,60.63957774617072,59.54041367327819,63.17516101429071,63.6670314994079,63.06330806354794,59.34628336619014,57.91761395894627,55.89791330165516,55.89196430804144,53.19013752391285,54.21531434492604,52.33391126093953,54.588419004932824,57.34639147657687,58.05901274167828,59.141856265949535,64.52531195401511,61.89649985270028,66.14393594918477,63.74863492921135,62.36965810559165,61.47003727753412,58.405332251850574,58.42195607670687,55.87026300267514,52.00320675281242,54.15612358479944,55.71778049999038,59.38987175608027,58.47857222404414,64.12244125926503,62.24471688220084,65.78023160233565,63.99230396419834,63.5099580174111,59.402222722090336,61.20253292169333,57.332399346549956,59.538008940293416,57.63302152974001,60.17385936441314,58.75220459054707,57.459505505674784,56.487694883916255,54.04301681297061,53.00160602017313,49.066533441609124,50.16445535018444,46.6034144295396,44.207193975118436,47.17613671279804,43.99227660763766,43.6949386121253,43.84604147918446,41.3044671380794,43.297383317000126,40.27339037046587,42.979538531216164,39.95124349272966,44.7542084412112,46.950146252030756,44.41365729523859,43.81487179443675,39.10546562246759,39.41694832069271,40.17529167125717,37.64072621159599,39.155720073032505,39.34058475631106,40.33175193558356,43.36051704001064,39.07897585601946,42.380985924426106,40.71429713576129,45.0666434741701,39.56450106620962,38.90548826951209,34.10230288289395,34.49405348980182,33.7380924401971,36.60221930464386,34.45441450496576,37.38215248383637,40.96571296844869,40.622887406293785,43.687803951644156,46.25445034582888,43.755020820312865,46.24460759986229,46.57711336095189,47.30950826674138,49.088714554205886,51.772797013111095,55.85721774431086,57.84957502813415,58.31352238465471,57.11230898881019,54.016948803042204,52.917325495104755,52.20274558086042,49.10400029458674,45.12200768226601,47.84150990137821,42.33811113700882,46.14854235098111,41.8754870941336,36.67705379927067,37.24225444389339,34.314622219631374,32.45276413827122,32.32702810185647,35.092010466039106,36.91630646342241,41.79789827981667,45.48737437327664,48.93221582888454,52.10033546470677,52.98091705880395,57.048309791448474,53.58661198783067,53.77218215615145,48.870232002368354,47.78789095924055,47.382249893746504,46.78000866902179,44.44899715430636,47.20455856882654,47.721119589626504,47.89297467942495,43.03465827486607,43.80302968518026,41.576233816789895,42.16805696095323,40.030195124253495,39.07103641321204,39.638776450909326,38.651443131661814,36.561563151922826,39.24050426791558,38.01893129139187,41.35011340068107,42.909293459223605,45.50348023247448,42.44510531326583,40.009629454722536,44.09032890806022,43.841980713398385,38.01347478782536,40.9712827594336,46.43712464117052,42.521939452364975,40.79414533928757,44.275047646024085,45.616095411153125,41.608185291279696,41.690156220624694,38.809712502844754,44.00371392947584,37.31187592038221,40.12589150686885,44.02888248723279,45.28363915236334,49.684601721036714,48.90608133335925,51.83580449708959,50.10016632709674,52.53331718537131,51.63339134403499,52.31810336010451,49.83212714636494,45.66733312883351,47.69827197899046,47.122036719243894,42.86613726167354,42.20049766186797,43.702494249509854,40.06110003794402,37.25621739054349,38.009225290356156,38.76575410728406,43.77492867251532,46.638303541911554,48.51232029336861,52.22976360001443,56.19130621205635,55.31857781234242,50.46273765121843,53.30089980873128,56.215154474236726,52.24082808127115,50.002085185962414,53.95609260090062,53.86224322312307,49.75888119421225,52.528245470044034,54.97050353416481,52.01009211742998,50.37484833938699,53.007287312605605,50.037516857410935,51.90144635573448,50.69714155152248,51.429989966559766,49.890662744730896,45.51607382475038,46.57487134566217,45.663746649310056,43.184068032809265,40.90462328933265,43.321789476733656,40.603277931773384,36.99434336530657,37.45475292692997,39.01453063845465,36.128751093548296,33.444446737759904,31.857138888885377,29.929734585053676,28.00786783597842,32.757908648711656,31.418955452391483,34.78730262273642,35.89508093168255,31.2311606054173,30.535443880617205,28.323624771078617,29.6286936241264,34.19164604449206,35.010651807069564,37.75282253729016,37.752875702144436,40.32471670531899,45.51926575941164,47.73568336078901,50.25716325829204,45.658464972422024,45.237478110727686,49.15325155111505,46.91355343329901,43.64302822306437,46.77040798643652,50.54996006922805,52.243356200459836,53.16809715363647,53.87496994798282],[42.37476158629138,39.9600748706021,38.94460319825443,35.308720130231734,36.020086956609255,41.292248047040296,41.986319886370495,46.57936401692435,46.60341323954282,45.686559806616415,48.932931675473725,52.39732555346952,49.03440807776656,47.053643168067005,51.83907658253154,52.476971331104195,48.22401454219408,50.6525703604325,49.033622009290504,50.87299683478908,51.56153334981506,53.57569919248034,52.32618587159536,49.110096626709165,47.822212178503136,46.44650467674529,46.36014186328215,45.96443781306706,49.83088800692389,52.150812803347605,56.39864579501244,57.0961753039773,61.41829736292909,63.1442828287216,59.69474567143816,55.99733099443557,55.91761454580521,52.460909187115746,49.74736953506977,53.03859309946662,47.905769815301525,50.75133306635871,53.918454282509195,50.7737023624302,49.78143982128853,46.43674687719084,49.300449480986906,51.7316169917612,47.39812221459835,48.93999350268436,53.62138405346758,54.56879846039339,58.02716479113893,55.0841155344223,61.116516110128,61.46226421294948,57.66351383635698,60.33601637111732,64.17435614277868,61.04107892592943,59.56231154422364,62.932812811367135,63.23237665592486,62.46651600959964,58.92428426528394,57.51346919591055,54.979270527932606,54.94331824889419,51.84688124093001,52.7639047036218,50.65917449464998,52.62723329086387,55.69213394049689,56.6119265705592,57.97476847495933,63.450090397539384,61.2139393494881,65.53252668955321,63.42931526483351,62.33814730502089,61.679337149762524,58.947041713262394,59.008883489483445,56.80630428361182,52.79089125207396,54.56462759284205,55.84610014005708,59.46297523788436,58.153058986771306,63.68211616514373,61.47037007472578,64.74629028847433,62.8747693234094,62.46554001385398,58.31899458576127,59.862404914699056,55.9625543320907,58.639990737290816,56.85910111912908,59.608875776425556,58.448107902543285,57.54524908625191,56.68888042505174,54.57213661009274,54.032378955928614,49.996782438412026,51.47834884162415,48.15694293770987,45.50558494656078,48.1165757916196,44.59066914970399,44.120592673857296,43.7342692048631,41.17469775991218,42.67029849455768,39.606710371556616,42.21494111595025,39.11531566823049,43.62902877521295,45.831061633080985,43.06165651773197,42.52790075410476,37.864844441192595,38.415466706991594,39.36512800334103,37.43122977626347,39.26019706286928,39.84030457611188,41.27196133656436,44.57962779750443,40.686509621986076,44.33685917356239,42.70122443792232,46.752589709326685,41.08195194382194,39.87408753289007,35.25855117956543,35.03007572366449,33.750423342760485,36.66003103883321,34.161887528279706,37.29369636082339,40.66043485111704,40.459529854054054,43.74734387723169,46.10012380854026,43.56908450653152,46.06131145070746,46.63104161026464,47.06527234634323,49.133090292045985,51.40710950612741,55.774295023793684,57.35966784436153,57.71228983315725,56.797789976813526,53.65398664303267,52.959981000446085,52.1072189899646,49.521310490312445,45.60484216696547,48.09688227651967,42.67938670335956,46.74051212951371,42.891163287121266,37.606122612918924,38.78200122502497,36.0860287516209,34.32060129012122,33.60500361527629,36.46380175922769,37.78382997944769,42.83042296559061,46.44506269058559,49.690776727456175,52.84103857104353,53.274028576414686,57.68518829273506,54.37982832400741,54.825233633266045,50.08970232227616,48.948613306892746,49.065620730142605,48.71512679588742,46.116562081851505,48.627285278853655,48.69941403910715,49.2976694116053,44.26383563775633,45.529671333941394,43.645489634023534,44.0570735693029,42.28575710088632,41.33018234074301,42.065843233158326,41.31957951290969,38.81359462411693,41.58511341360633,40.15960229673646,43.09192670214315,44.88370846061157,47.065183034407276,43.748170214452024,41.57836009038121,45.656574700451976,44.888574829216225,38.994911553391525,42.24383699765873,47.49868869643894,43.062757347143645,41.44875375407444,44.99011434008359,45.90215053885795,41.668987218692926,42.04435224185625,39.444587839653835,44.872700141667494,38.720992718834516,41.61862780632586,45.55037695592384,47.34671849274499,51.64788038459183,51.32090591137203,54.23472924257947,52.54985293942928,55.106041404557644,54.04264269563853,55.13591197836176,52.691768450713404,48.195857429681084,50.397030705839434,50.25730646263573,45.854976627448025,45.00176056757034,46.7741595059612,43.41810805598749,40.30660729648724,40.906172246113506,41.21707039774454,46.08443098550991,49.085739258714874,50.689378425264536,54.30081374985139,58.19598743717294,57.05085945377697,52.20644410263294,54.98416382372184,57.63395945938185,53.4625231632875,51.29339023137639,55.04843349060668,54.66360078906059,50.56504695979684,53.60785431659845,55.76697638872796,52.450411988244916,51.15240454826705,54.0240189410821,51.27607685156679,53.4442585226033,52.352657533927605,53.46142936434037,51.733853017285284,47.12988676920642,48.64964522895276,47.88464503341278,45.15359207457435,43.030853886651265,45.96137097964041,43.122944433671094,39.20569501308545,40.089657300217624,42.00616707235631,38.92217776666947,35.962604992051226,33.791659342487726,32.29475731066754,29.72105663050275,34.24531732902321,32.354373614477446,35.82534118097786,36.316894433676985,31.59470181701815,31.40672333475346,29.729522443497235,31.27830186833099,35.891226807046216,36.159277289321814,39.19179563898624,38.55250172966283,40.947553035229646,46.335996090875014,48.60029471323804,50.85207451910515,45.941219130644285,45.60001191771252,49.29079956772239,46.702755272562975,43.401502841238354,46.756748590204175,50.3314364175151,51.9831861223639,52.897154295790536,53.60028610686189],[39.068239000872346,36.833535387960026,36.18897199680539,32.52017831687425,33.79537622280064,38.78109147542063,39.75060780997541,44.37752591178785,44.30480867240145,43.68007801066263,46.90259282631845,50.34967241107011,47.34765865643274,45.26348650871825,50.19216681418349,50.99625009466139,46.94696632085983,49.6321251480058,48.35810945295041,50.37465868405354,51.339094557655415,53.624765955985275,52.528589585010685,49.46536397145742,47.958650909419646,46.25129750868776,46.02005781571526,45.242530221723484,48.91154481806453,50.99763085538934,55.16219234694566,55.76441037373372,60.03837560078504,62.028382013627,58.689499283258776,55.13640220802722,54.97072928287114,51.90014582731062,49.36606594376567,52.99448838429667,47.947260511733916,50.690945873746884,54.083506069650035,51.15824186055238,50.43592731841642,47.26064841058468,50.34974669582364,52.47264942727347,48.015893912370395,49.89114377982972,54.42093371031988,55.18571735754924,58.61392037719961,55.35456348343271,61.374612877069204,61.96837811950588,58.07471454848178,60.42290598835069,64.4476368965502,61.570674720082664,59.79931233088173,62.95461246369175,62.98948238516824,62.445542624760876,58.99487261430681,57.31593388319611,54.612245782434684,54.2588420722973,51.04604950655452,51.62326580396667,49.53855594043836,51.49296070417377,54.60437502420997,55.87352027733464,57.08542650465769,62.741422220919276,60.67302657848993,64.9006317118802,62.92260924865422,62.051373155829445,61.24259312505131,58.717231327281745,58.45437190467455,56.511804345656444,52.523371602074526,54.03623011797172,55.447646605113725,58.79399366550735,57.55624906736109,62.88018901842875,60.56980969557848,63.79822507884329,61.70299697897736,61.107403961490014,56.82718021160864,58.18892521440469,54.177226342326286,56.95551730272493,55.04328441299609,57.612526845084915,56.86616833608205,55.87910957051662,55.39564689804838,53.17099320339153,53.014391764799065,48.72553092873655,50.21548691749509,47.03657923361603,44.08042721278851,46.56279772175226,42.811816907088925,42.611455954979206,41.95478629558305,39.69097365599549,41.177778793895335,38.3410811442108,41.163486889616024,38.330367090142445,42.987499246265486,44.81783542172801,41.882310292875054,41.07721665792263,36.438177741663885,36.77147276783515,37.45939077543729,35.84583579258182,37.319083110496294,38.342678201789795,39.876480721012825,43.51089245892834,39.70641684465284,43.53363675941843,42.242263369711615,46.12780880485231,40.505435542338304,39.00989597743642,34.28346507200022,34.064036853092276,32.75432125255758,35.91176055832938,33.785128279442674,37.32677772202684,40.37454593256878,39.91815132441508,43.34347214842111,45.323709900688606,42.63103935208784,44.828036195108986,45.25573970632159,45.327559805656726,47.275902632341435,49.281731585613635,53.67058836358037,54.91825719369169,55.46305724809265,54.811873682347354,51.825649325129646,51.24079505325861,50.62889186326929,48.18680849202859,44.61483243185159,47.299096427554026,42.12495051411565,46.3918453977557,42.838005292476474,37.62368476249176,38.909474207753384,36.601218958796416,34.51556301288596,33.48992356828244,36.17710567222115,37.277250727099606,42.43309323127241,45.9193420431309,49.036678752530804,51.9797260439874,52.26285062322705,56.80918540860272,53.806599826284774,54.230182523243805,49.76969706490783,48.194670542867684,48.74832795400099,48.702046998166466,46.06790063913671,48.812336434462196,48.80999058143789,49.83252698538523,44.99621861226749,46.27100380300117,44.489221749520084,44.50843923931721,42.67623469136224,41.43401614521961,42.01304908362328,41.14516427152144,38.24217685151269,40.81041988090898,38.99581179904122,41.71305556657808,43.365498322524694,45.32479785840058,41.954406052529016,39.70753929907225,43.655060478907444,42.65907251759216,36.69240818102976,39.91861662505639,45.04213096037954,40.378354542225544,38.68910753268318,42.16706114955792,42.95623342945096,38.59579678965869,38.941566611864864,36.51968711941906,41.96889800047835,36.14575265355033,39.18250306310085,43.05766551801145,45.18872684600084,49.337915490595215,49.393269468983604,52.38372268041628,50.84638238913152,53.57618701222368,52.56766512818354,53.95251113161315,51.39856834549351,46.786356597421516,49.25899484377299,49.36484310159581,44.80196538087818,43.99173512065309,46.110525033323405,42.79827984799343,39.42678389323632,40.30893010888206,40.06194571570339,45.05700945722206,48.00542401740504,49.23629718622661,52.8707141218214,56.580229058098446,55.44504603782017,50.57870790907356,53.08049633787362,55.6577754528857,51.48013669797494,49.16480333424587,52.71854608850359,52.21174943782097,48.06343241491333,51.11183600372757,53.10090905836113,49.6265181226721,48.38525645588404,51.3243441263342,48.72338168335878,51.123480823891995,50.24422070306897,51.527920688773904,49.53884436017704,44.91357385937365,46.801971923660886,45.983342279652454,43.071267759537896,41.24220846432207,44.430643768963044,41.36676126156523,37.35551133935092,38.69745400383911,40.714769856871875,37.385564085330515,34.29863519810762,31.77016608370664,30.445830098090788,27.441111575198423,31.716702068856772,29.648478185314783,33.2818287261633,33.5545281837239,28.78025987265857,28.9700914732277,27.562885594131426,29.45228458999649,34.04984667709749,34.2826321466998,37.63045536421294,36.802192480550836,38.80427570017707,44.35239904812788,46.459544476355624,48.71751260948944,43.69765034679362,43.119670186050435,46.692980389956,44.1900697057167,40.63349564508109,43.907594996866266,47.39538694978894,49.033279080134925,49.96044821485369,50.6334850214085],[39.71148464231903,37.783182944599154,37.64652324133436,33.81614050171767,35.69870056480848,40.214393717351946,41.32635526034545,45.96364748112926,45.58441842406925,45.05695004984407,48.13146205307319,51.683184580677946,48.96130616681164,46.57957006575512,51.55893028835531,52.60552482677212,48.67751325324749,51.37850144422922,50.130778236471855,52.43595125075541,53.3946738285743,55.92020975802304,54.74371660765085,51.74773988346535,50.304455764505896,48.36089819530452,48.28579453225705,47.33695659977911,50.9134333535919,52.96606604263627,56.7993402378632,57.600200436020074,61.75930014657347,63.84020821029232,60.67596621210085,57.15699992397893,57.14906706387603,54.23192375727511,51.86411143313203,55.79006046779474,50.65396533268755,53.15028692982303,56.68495904675392,53.89483224682984,53.15804400671754,50.115426627785965,53.29260409275071,55.37958078687382,51.011018449963814,53.10790071647926,57.57414972488023,58.346985220315375,61.68975364970398,58.28665464283718,64.29669870248635,64.87223951193249,60.858980463402084,63.057861647130814,67.13481179361007,64.27394839089743,62.27464831600192,65.23515698747623,65.11582224782659,64.51028108050875,61.19620520788368,59.50046771489373,56.474267433186995,56.041723588776286,52.57353607168981,52.98948139298521,50.77553007111595,52.503346429013426,55.821437853299074,57.30694182178643,58.66112966419178,64.38223123642825,62.607139147575694,66.835273452602,65.06503300917805,64.40311344772398,63.692951883691556,61.38860801479515,61.06858856316775,59.35773235620187,55.33136190590085,56.60021526055802,57.895987118672544,61.1305989896883,59.70493911250219,64.88425637488392,62.3660046469847,65.40399591851701,63.20617079328824,62.601387452518594,58.27883398394015,59.40517397050111,55.35989936010063,58.44336214579432,56.55890373106977,59.13906998765007,58.71678241861266,57.88399649691681,57.61315065103954,55.49942105208554,55.69248052618185,51.28915035443832,52.895741714703206,49.86790937927804,46.71555949175587,49.01117451567541,45.06160609521924,44.93234786177326,43.932624521459815,41.81527654725487,43.0311132711784,40.28820044828563,43.08470139143855,40.31660524779066,44.769427846806174,46.49871802024254,43.399787645217444,42.56249662517664,38.024803378911194,38.41767867846812,39.09120159653099,37.94282254968312,39.36199705030314,40.74269984997583,42.459685935441875,46.29426260679374,42.66730774238244,46.62419156045048,45.480039157547246,49.202151044874064,43.58658902569058,41.8255437920754,37.17522495201383,36.7387391073916,35.21184099879409,38.4182531733192,36.23324890367069,39.896563464300215,42.740929488502935,42.31414246629564,45.847908201283445,47.610999196301684,44.883184769118934,46.96554943864166,47.45040028802164,47.22988078589669,49.23404513889273,50.89917924754363,55.39237746755084,56.24785196992729,56.851308412103656,56.48551462270624,53.57417641407904,53.23367339353208,52.66774178860812,50.531653999081676,47.14555432532189,49.76508323605493,44.74313544604988,49.136897661954684,45.85454338081336,40.668271500195154,42.19392888034698,40.04831258451347,37.955782757813424,36.68466825665103,39.33431155098687,40.18209689020786,45.38189850941723,48.777571360910514,51.754921835293956,54.606958242243415,54.643793421631486,59.35919775448493,56.53203746309087,57.05335408375801,52.76060912003245,51.043360440307346,51.90764508641068,52.022451439266064,49.30863154972199,51.999958034988516,51.80264462954777,53.06153449145836,48.201732875722804,49.66665224297942,48.0249652340466,47.93076728352265,46.20955271458757,44.91137784176723,45.48263138263681,44.62287423872907,41.52035390356089,43.99699474387094,41.96655244302293,44.48655685766404,46.06625678086951,47.81523531858302,44.3916503659249,42.143545174631,45.9543931117666,44.72379480626713,38.741134078022206,41.93458685963139,46.88011503439978,41.97395418199517,40.228346885791076,43.59753350460738,44.209285743854345,39.71044471191209,40.01698970287649,37.855458580310454,43.25554371383482,37.820869716999375,41.03967894436892,44.79952158204733,47.20714376415714,51.15071342521788,51.55690416915924,54.66459831429917,53.3090524192535,56.18765407953969,55.258055196547716,56.834227675962524,54.177751042482065,49.53978399507857,52.204292693513864,52.437621230290745,47.78543920868791,47.041264901386434,49.3574211042197,46.040679254217494,42.55449352580797,43.62517012603745,43.04694196173393,48.084835198740315,50.99777691848377,51.962308818548664,55.59078323635528,59.14781889638019,57.9959924211466,53.1415056131741,55.417398643757906,57.89703483562739,53.70403580253861,51.29884168800464,54.633212947026585,53.97806194646329,49.81166344925893,52.870939713441935,54.65100495318973,50.98468023516271,49.84362605424239,52.842807544551974,50.422498952501876,53.06053651497603,52.407231525551296,53.830323955386724,51.58142848605621,46.993796227525166,49.20727960641787,48.299732173312165,45.24882817890162,43.72634368888893,47.046447915561,43.75406991258052,39.77152143251714,41.48056050387177,43.46057772222748,39.91146800026232,36.82686597121001,34.08817275892407,32.771736402730085,29.491352840766506,33.4361225993183,31.32482214953072,35.12323504843025,35.13006412095502,30.361905571367778,30.98056460364702,29.85436140723531,32.02580626683745,36.56425391687561,36.712181192511316,40.27773958954242,39.19508869387284,40.881819396779335,46.53228093326323,48.526343209785516,50.69800039892487,45.556536118094044,44.83288146371151,48.215468718165894,45.679742015045456,41.95160345739467,45.18934804565963,48.492252809190205,50.076619992505194,50.971513727966894,51.589460275523706],[36.088152654293346,34.351059501335286,34.57039242599188,30.440781593581768,32.81645403726231,36.79042192287818,37.959990084738465,42.576396640864196,41.907694382392336,41.48411374352584,44.431374828263756,48.033325217753834,45.61092717246075,43.017328062525415,48.0485875793306,49.29956137519072,45.56383531428128,48.38609211889829,47.380406280494846,49.92409737004891,51.06734048269915,53.89072282976794,52.80915865063423,50.00293546649746,48.421388900367766,46.128836518802565,46.03297488025647,44.752042043593235,48.12822432407826,50.031561948903615,53.59388745676059,54.472134371919665,58.513997368012916,60.75661006532397,57.771597119835725,54.36784966481041,54.42882143866964,51.8328439869424,49.70513294523596,54.02893120596562,48.91895456778667,51.15644449894898,54.90878500672809,52.39089776992858,51.86660584322099,49.077091948427885,52.47136453858013,54.253822364440296,49.893965145469565,52.4050281592473,56.66005805816594,57.31554989332274,60.53473922357827,56.8222874114152,62.770102348026114,63.49380124726336,59.353484381529626,61.20504181014261,65.4221238321333,62.7827946822841,60.43713576991245,63.11290896915902,62.72359332468494,62.26088259499865,59.0998985707684,57.204534531963,53.92998251815808,53.2407680601447,49.61480568223997,49.738092441890444,47.50678328702695,49.14546636321247,52.53318106637267,54.32486919969994,55.618240806874056,61.45478518035766,59.93053958750938,64.07589561986882,62.50583966877247,62.11126655914151,61.38499952876135,59.379910238838534,58.86026624403251,57.49716005957131,53.47144967625607,54.38351920702238,55.6433305627779,58.63272702522422,57.12633249577732,62.072248594461726,59.396275072656806,62.29824510901496,59.933100768283246,59.22933640125304,54.84346093971838,55.76303010649055,51.67334211018462,54.955033738514594,53.0634865909316,55.61980056721603,55.52617192100874,54.84406005648537,54.822868809359676,52.84525796952533,53.498651270693486,48.980262977809346,50.80053949200087,48.03374232235563,44.65779169211308,46.628833532898966,42.45509950238272,42.33913820348817,40.93963527398912,39.01018314722516,39.96765389463607,37.409334083445444,40.25540684124793,37.71531773915355,42.103902592827325,43.5199018639155,40.274713065574645,39.279652740716244,34.866337141019486,35.199450418962876,35.787560425889424,35.137036746433125,36.52035051555934,38.29213896756696,40.2762507423032,44.33969998221393,41.07621089233313,45.248379851472286,44.30293581623262,47.68578834961566,42.11108740358375,39.93092769835851,35.464120499710894,34.69981222892107,32.94606474277347,36.238726795160765,34.24400725837727,38.198606468195614,40.65148127225505,40.093034594631575,43.74117974877379,45.125517112984305,42.32409829306608,44.18213082671138,44.6856603024247,44.13189842361292,46.19871793137898,47.50962214495481,52.1081247910058,52.6213893113957,53.228053926303964,53.11556664684588,50.28597962557331,50.2023407207633,49.69709676094019,47.9212258145639,44.81484657499693,47.40072835994152,42.66712406327631,47.22865318242632,44.394972985858445,39.33825549913848,41.184431487775306,39.47021686514367,37.27333205180266,35.54441584862261,38.053482035735705,38.48657212633465,43.71389269511863,46.92846526392698,49.68114964257567,52.3597201464352,52.0939687882238,56.99414046286248,54.45783115033155,55.086070845773676,51.10509095102048,49.12831720965066,50.50983951254572,50.94113813242632,48.10601697393573,50.786743685876125,50.340846823065554,52.079442199220495,47.37437899043452,49.031528525237455,47.65198236820674,47.19330844046356,45.653196967509864,44.21043617425711,44.78668490528136,44.04748696224789,40.56165166682053,42.96766040533894,40.72099606828424,42.81137669332911,44.521835241910075,45.85442325541982,42.28746043859426,40.308235140060006,44.026334008212146,42.35758702642805,36.473751899420385,39.86026718002406,44.50667200501605,39.25695640105046,37.68699474167624,41.067008652926816,41.27334903728055,36.70116770103388,37.34236913459841,35.45471006623189,40.99116363410512,36.20509715710634,39.30277115830412,43.045270053385806,45.922855267376626,49.763958415027695,50.55626298201919,53.512323941846915,52.154276490177345,55.07558028416437,53.96263812016696,55.93804175829117,53.39419404840222,48.46612869662035,51.248236089727,51.95087747838476,47.23098663947405,46.29329269021632,48.8633348950514,45.92853449963633,42.1878037255255,43.10803769994246,42.046190353829104,46.867015962517314,49.832401322861195,50.48924365957238,53.96692077355388,57.39898981336699,56.02879259347752,51.25199503018573,53.42352067509053,55.6333427317827,51.335372496471265,49.02084349473005,52.13756529066584,51.246924513531674,47.152363632618126,50.419913120257,51.94337425289929,48.03967307933068,47.22956990334374,50.410930381441204,48.2096848361571,51.04590554947941,50.458556478129026,52.227656556709306,49.901495026996955,45.135049817499066,47.714797429557684,47.03033781698691,43.81360865946491,42.40627598453612,46.199059438639125,42.95904771451244,38.70033626798986,40.730757047381886,43.109327735368204,39.542381170513735,36.20864738461435,32.96756323226309,32.284374742463896,28.513047538767673,32.111278613411464,29.425072077745856,33.085925340618424,32.51352890263799,27.898292012644227,28.92588652633817,28.373082979667124,30.6391780377183,35.028960642596374,34.68820031287716,38.43398774778841,36.870918096343864,38.28144770819433,43.98002920104773,45.94376603473433,47.88581975133375,42.596725206112495,41.900331674787616,45.046412358332795,42.3305691833382,38.60664433989778,41.95380516978458,45.06194338872304,46.61003873178235,47.51586935558744,48.15489860905658],[37.94054939134618,36.42462165107254,36.956092115516,33.2960814405093,36.00831544575076,40.00655416607869,41.54999157967331,46.13860650572242,45.64501124658025,45.56929321879817,48.549476276965706,52.0227940528473,49.85444037940753,47.36082754911756,52.45597663733075,53.71827933463267,50.109070666485536,53.08091461213024,52.23960764371628,54.731431604892904,55.96967262262197,58.7617085007637,57.740884173438346,54.92435448894191,53.29040387611079,51.02558737358474,50.808862494128206,49.454137258783184,52.75195555662676,54.49268128910935,58.1683436118011,58.84553002505519,62.89792299863684,65.29565241432526,62.298524266057036,58.98898798810417,58.873051742929924,56.44007063883315,54.29257656540469,58.51670453403658,53.53416784094636,55.911820551517415,59.64007668553974,57.084873510703204,56.610643073296295,53.74117765194647,57.08671059938011,58.88478575137656,54.42676199149209,56.78420807891049,61.08605658956841,61.6822157488716,64.98674344982484,61.30912812931006,67.26261868964284,68.092154695781,64.01816245881463,65.88058733561792,70.1216050222334,67.53187951740281,65.26087346723816,67.97704733285322,67.57334510884671,67.19610900400333,64.01110814801694,62.05312624636812,58.85079524817612,58.073377375650395,54.48441143457065,54.4894109659447,52.30476733690304,53.949930508954466,57.32297178405348,59.21887426494449,60.41433608489277,66.29457604919982,64.74930814468912,68.84260333675657,67.23591451098972,66.8244816142831,65.94656211765492,63.874904521384124,63.183792458364,61.75356510625746,57.80825502499021,58.79862327208491,60.24393373872884,63.141475793705006,61.81895473222168,66.71354998113235,64.09263377615575,67.03189173662929,64.57775594071595,63.7494675992577,59.298996737002234,60.15710755462764,56.00718128648667,59.210012561445716,57.16597700854577,59.448205872735365,59.610795833012716,58.63794714802258,58.87242138892786,56.597052447076685,57.222622637522306,52.54898678027651,54.063942701176465,51.21180494371433,47.735111316650766,49.89624064334815,45.7475492445124,46.04276409360439,44.74773792313482,43.083647328871734,44.2886347758333,41.89079407014489,44.88854324400538,42.47996867697917,46.992880967767285,48.274248297058705,45.01864543277996,43.86981513073883,39.47062592365081,39.58109119548017,39.87720276771867,39.16738466011448,40.005164002695686,41.93798155240798,43.68221953494585,47.838371412844765,44.292875423051065,48.33129288350395,47.636453873396235,51.18002437906524,45.73345665276383,43.75015845077096,39.01572139662009,38.7024170630546,37.22992721715356,40.64602771955778,38.922188744915076,42.920585359187776,45.40296289833874,44.70970230229371,48.33072995826007,49.658242580787764,46.783910923572044,48.46921903463322,48.74547431024962,48.05770596462845,49.826952987530376,51.10462296446318,55.53819553647788,55.879307328813326,56.8014371925412,56.82460718536801,54.186895722080706,53.972553570663706,53.76241008296024,51.796316438837145,48.89781369180577,51.73577185339332,47.059567385914555,51.60590331787882,48.64100361661938,43.60509001114863,45.1438951923436,43.374951213397864,40.97277399301546,39.4966082625516,41.906675115333464,42.57094483595603,47.79395624448336,51.009328511863956,53.825370357727266,56.394577753742354,56.291418718689705,61.092605329412216,58.64566291795393,59.102720172463485,55.15229946529985,52.94312581108737,54.23133672864531,54.64536433069592,51.967503750689396,54.92356384620392,54.70094246352588,56.334343747207,51.71480989774378,53.11994817640266,51.53629416684549,51.09341384480718,49.253975977941614,47.66182903767428,48.00697213451596,46.93738811380347,43.51283363607129,45.64912829563183,43.167052426048,45.46720777135566,46.70441529729471,48.23137401335889,44.87063747018588,42.42239718720341,45.92679016438038,44.525393428105794,38.549057211745996,41.482996643148105,46.18116279232708,41.12786159179389,39.19021260806483,42.303729189550914,42.846438338997814,38.24141124528476,38.2796260052575,36.45025707595464,41.62139662281299,36.7016292232912,40.18227581200972,43.70153228292582,46.42322186045959,50.0206137197482,50.9274428820703,54.222553174150704,53.195557573181866,56.31987324088804,55.62372565332223,57.4533261389193,54.57459069014095,50.01286907824559,53.02784652598438,53.39457451642132,48.611153675120335,48.0799477683987,50.762860376114986,47.36297308438943,43.70705146680779,45.28988079111483,44.095918332241624,49.32829094137527,52.06298601014838,52.53861728737209,56.2175962919,59.45094995397498,58.4492287369543,53.60823791414093,55.395590657087794,57.83757910153593,53.75667015926034,51.084133482718805,54.07579334352312,53.3115851481919,49.097442964388605,51.99384135353099,53.52995526629277,49.72082066557949,48.55492934725942,51.52801045002622,49.34180865394255,52.282440745117505,52.02776720761807,53.551380992760556,50.882408680134255,46.48053855019724,49.13401398654592,48.00259169008408,44.786935645714,43.81362026358701,47.215662288571565,43.553419072061295,39.72306013551495,42.02023136239308,43.84616573324709,39.971060819827215,36.9563365633064,33.994274956561945,32.64304876461073,29.05700090530576,32.43030108826877,30.44429138708361,34.47556019461166,34.328893066940694,29.62260431670981,30.7861078263005,29.948295580127205,32.57449315700282,36.94436035321048,37.266401576270496,41.16046805235871,39.99575588560429,41.060033538316304,46.81262762405304,48.49056397832525,50.71966246985013,45.55388077592106,44.40339223663754,47.56997879274229,45.30703675337288,41.18986501227483,44.13909993028095,47.23562029312689,48.75819894443178,49.61120221037071,50.12080190252035],[38.356178543280244,36.496888367391634,36.48059836012456,33.16807381570535,35.259471704971986,39.9171201269826,41.42011328770703,46.025580783072186,45.97263689035885,45.87238145541533,49.06641656511605,52.39917813089102,49.9331286697802,47.81353227422934,52.892448795557186,53.86495306547622,50.11009101987783,53.099602815701665,52.2284562324474,54.36834799295541,55.610254423999045,58.09314822310861,57.153075147465394,54.22253777420305,52.52849087129809,50.573513589305385,50.16210368150331,49.017869127024184,52.43894490302462,54.2011894929454,58.331226250119606,58.72200355274065,62.93941189008675,65.26124157962846,62.02871922552715,58.67903625855054,58.327043814489826,55.71513602396385,53.33667510358359,57.15327588627078,52.292754049314816,55.02304380896875,58.56223054719912,55.80273878624247,55.320301751403036,52.2409007636937,55.44313085167587,57.339658831512175,52.75310835484903,54.758199193334384,59.18002000692465,59.762632333688586,63.20822426260006,59.74852258909832,65.7321386107325,66.58960034875942,62.68433689949493,64.77483664061215,68.94499682246095,66.30998942172515,64.36389578479489,67.35687280957396,67.16350104938857,66.84908712704205,63.47648828066309,61.551617796130344,58.74886261624924,58.076946266807326,54.78407889518607,54.983032896041955,52.94017305544119,54.85286565109554,58.006821670749524,59.649002509823816,60.68271910721752,66.50100994447185,64.58455981864414,68.68806366985099,66.80643898736362,66.11431342539765,65.08614358650243,62.69762663341322,62.04762081463947,60.28253342585987,56.39824933821418,57.73919667777152,59.37599531958461,62.41631658990443,61.36272494255026,66.45377892756684,64.09541229190238,67.28511205841191,64.94107840146035,64.10358090294125,59.675728623980675,60.814787464122396,56.67450984476354,59.49882035205798,57.37217755962827,59.57459623567698,59.397403007982014,58.13349508818274,58.172335093294926,55.64715940696031,55.80380617400556,51.20590312576042,52.45423494413706,49.35506253768374,46.08114777212033,48.578556192888,44.675361955464716,45.0314264882,44.203935464654855,42.42461953310534,44.048060622221776,41.55260783957225,44.63290375284212,42.14258459856157,46.93980857853816,48.35330124823541,45.27261832959266,44.13562717708861,39.577098283594324,39.57187024666361,39.81418959069062,38.49850628368715,39.22833073810188,40.77566594381263,42.20447343255756,46.15785141220812,42.24857997415627,46.07369212636425,45.2816359069251,49.12054548132906,43.696582367444144,42.12584952318999,37.16729202908978,37.29152194684051,36.16621877630766,39.57938396917688,37.96693429610673,41.822996674992886,44.59602363852275,43.84909938313674,47.34296088987387,48.94988790507926,46.09005179420095,47.889654825532624,48.02995419671816,47.67089821756409,49.28307715051191,50.99692604833809,55.2652471985711,56.05712773985607,57.011794033059985,56.7136973264709,54.02524195470009,53.45383817461175,53.27551807159599,50.844594583843296,47.75665762331377,50.76136724123703,45.87978950573327,50.27167826325587,46.898324494130044,41.81414882602987,42.946790260847,40.92808598299209,38.46992027259054,37.40614457335295,39.839902930333395,40.91355246628662,46.096874501698196,49.44420507485549,52.474834080706394,55.14190915010374,55.41061310724495,59.97741441000095,57.31253030115157,57.58927213614965,53.40894659572907,51.31079253399215,52.14941368479189,52.333578416350086,49.81536334930011,52.929054565901296,53.030837449184055,54.299466730372714,49.71033707485227,50.79744289427005,48.952195986787274,48.6886681179126,46.59549281374743,45.02664893351555,45.28839918265041,44.06128473883407,40.927839783906684,43.072618985766276,40.7583131927983,43.434927777515,44.55738925323793,46.47030994323229,43.25195207014694,40.57137018035318,44.18739315520326,43.21842427711479,37.16560582528597,39.96081663211387,44.96912768355861,40.291353419722014,38.24094943942189,41.411456532450345,42.35994719899589,37.87874939578449,37.693924122195085,35.50699405040292,40.62726143995173,35.02370770880814,38.493804251195954,42.09636942366793,44.36483334883864,48.153318299280194,48.62263622521632,51.95611218934826,50.844161617777154,53.88032444008234,53.283951495106,54.77375607872094,51.853100957251925,47.496167978653865,50.37636784408727,50.38781132105189,45.67450181747027,45.262523942489864,47.73921471233769,44.083548460684426,40.61463181595866,42.29466169375604,41.48121127724781,46.88232126782694,49.56666232722681,50.32439085747804,54.12359863940621,57.488929116379914,56.67505641547593,51.76758430142039,53.695941504828895,56.390173073179945,52.40726490348578,49.68146967980727,52.93327590471574,52.42389824376809,48.154734610083054,50.884238842842585,52.72321267362779,49.19687301915738,47.72020234493683,50.53145327483456,48.085077111416574,50.76466165935999,50.357612272673464,51.57373873431895,49.077294161747226,44.77654951206696,47.032907753342414,45.7860965524013,42.742107441499684,41.55837671388469,44.59338577595983,40.991613168940745,37.320909806268055,39.270908453313574,40.85597471193172,37.079376054356636,34.210207486320755,31.659487611586137,29.897497653949788,26.739996551888897,30.522210858192096,28.938940329257726,32.99524121050898,33.41258688532334,28.578503511537125,29.24749709741367,27.877815859345056,30.35180282325061,34.84122129222741,35.59270065299608,39.299417271308016,38.628598682526686,39.97125179872409,45.655835845724916,47.37589781157487,49.851680888041514,44.86560183069384,43.71225267518618,47.167541297982794,45.10845345105793,41.02533096018852,43.88790428546773,47.25797497317148,48.84786132251113,49.731166499263,50.26377577650796],[32.55522455786626,30.54834338702009,30.406444589287528,26.914293017075142,29.02166733865237,33.61134255078075,35.11032206177524,39.716759390918426,39.69783467176256,39.68973449352274,42.92641870408847,46.184755236947524,43.809866544864896,41.79266012594736,46.912125717787404,47.8612977839318,44.23026522530113,47.40694771949411,46.86425046548012,48.97030486120993,50.48934967537045,53.085968746539336,52.379544273425026,49.62231890992317,47.65639158357567,45.51095187094225,44.857109872425625,43.44529570646068,46.69787003314659,48.2689593911858,52.473029908523564,52.68693334928492,56.90187197699764,59.36192314373213,56.15046720321546,52.92517635703989,52.44131414926037,50.107093228197684,47.85025620768289,51.85441984349749,47.14974870382299,49.84558396935248,53.515321777750856,50.96235799490789,50.79659818731209,47.89748185741362,51.29142164845854,52.8142293204284,48.11575026998657,50.420484670269914,54.635643584028,55.02996867896235,58.418473681464974,54.70004258471889,60.62119894594709,61.720526699414464,57.787562203594874,59.581168023918444,63.88909474270788,61.542240594411986,59.400320973418445,62.24588641914679,61.870043751860926,61.83249332548043,58.49853709015266,56.31433661538898,53.572069577140326,52.63401343417922,49.444800649302806,49.42663188586508,47.52760601657034,49.6047617628255,52.595942637218954,54.40117391618373,55.161963051685944,61.06853752711582,59.13089458856567,63.11852493137012,61.25058769964397,60.667417218172204,59.47494102157618,57.21734324608915,56.32867509628333,54.75381637754735,50.91720134027276,52.07361084187414,53.836721085601674,56.6664117576586,55.75860735737638,60.707569838915916,58.39295157410589,61.64121111984869,59.181008626997304,58.199718715244316,53.71790054376908,54.86483467174311,50.685539717032256,53.387821799593034,51.18091373774589,53.29928935800295,53.209240545272095,51.90349037416862,52.06972890045513,49.53203716043851,49.90459399450802,45.22531724465475,46.591303139425605,43.6393938501718,40.234084804651026,42.55883424159735,38.547769033068334,38.92105577378953,37.977590179237936,36.322406045203245,37.99998815236235,35.66782476751619,38.90577044681986,36.67462036936426,41.67716552134427,42.76336869196639,39.67597799595961,38.32213923402169,33.78632435923519,33.55911038730045,33.62456350724998,32.38148097550239,33.002131699703654,34.71251276236817,36.261977285049646,40.35919313173078,36.66816952449605,40.66392439696588,40.02406072829713,43.62106152036049,38.23572225434299,36.4063262964225,31.512247814944576,31.533221466720143,30.4130446269493,33.953935908513586,32.75453372285659,36.89873298519898,39.378761869362094,38.37625352007377,41.90490406925563,43.24029578052338,40.29168046259334,41.89029661165901,41.93726379281829,41.44900565176544,43.03023723424151,44.693254518923716,48.97371401079758,49.77102034273301,50.71375639367802,50.42243255804732,47.77123101367082,47.21996696402447,47.12358611842628,44.763568687247684,41.86214288201761,44.96773740425829,40.29727254152741,44.787162492115364,41.684202135368054,36.73892681681938,37.98893650962045,36.390281980033784,33.73061019075499,32.33119935367586,34.59435684708836,35.427288405702406,40.62808948964246,43.84442693592689,46.75329188901386,49.27895346767333,49.45606955679208,54.07566090478228,51.60809635132391,51.889258153647276,47.9356540396477,45.58758345778359,46.7775165497078,47.2207365432202,44.641104708519514,47.86389828050672,47.884887198420216,49.53511661867139,45.199870599826774,46.29601204066567,44.62520375861809,43.971946520480905,41.95071443876342,40.202240022698916,40.43895268652244,39.315228410046736,35.833004665835276,37.95539432392141,35.516490004888766,37.86998459826912,39.20939368763889,40.82788515084163,37.46323189672273,35.06092872773163,38.73177724956901,37.45079661149643,31.445916862344525,34.54746848212366,39.432599805056675,34.53068456586434,32.71565449737495,36.063999757611086,36.726471657684,32.242891850538896,32.50482527814216,30.32836423169196,35.76782544005964,30.49194652067022,33.658594098417645,37.41770468870009,40.03806281473619,43.95431685795355,44.56462848713054,47.594837080436285,46.28014750133675,49.24216786474864,48.327036773655955,50.15494411339321,47.46592701020168,42.717854495373466,45.59121798656622,46.09765043383264,41.34535266659309,40.61419342436713,43.26398678513397,40.09254261557381,36.36144591599879,37.69955090863103,36.53486019272661,41.67920107667444,44.47212746012659,45.088918517593555,48.738468543421135,52.11388596949829,51.048992950751796,46.189329711541156,48.212672693871745,50.69644277683817,46.57864632943607,44.016929701343436,47.25148925276356,46.60843582225128,42.40210032849881,45.39467012064111,47.156887577210945,43.51648841837177,42.31626964767717,45.31765723755805,42.927968026036034,45.63250454967375,45.07247031737488,46.596176367880965,44.24806205374678,39.631806363015315,42.051944788041766,41.17588980299752,38.023429873199014,36.66284097642189,40.22659482177735,36.897991890158195,32.769552605552434,34.81187792675267,37.000428874572805,33.38582517172544,30.121718297595542,27.043067348286815,26.136283325259136,22.495117618815474,26.248041305496685,23.88117390036844,27.68275264897981,27.672559384758422,22.897668622783755,23.658254019082385,22.710397651244048,25.11073714592072,29.547043258878723,29.808865435157717,33.59989009338853,32.61449090697214,33.90760148255224,39.61654829675693,41.40818578146076,43.74160750019792,38.673924037772565,37.646288102454605,41.06298118361652,38.85325855862593,34.87054677064268,37.90767322599919,41.28931751484754,42.918983620728916,43.8636082264472,44.49289316605877],[32.53215537203023,30.993256814930195,31.587079589361768,28.08090660272367,31.019533543401792,34.94205382637983,36.71996895629116,41.27213939970981,40.956760801692496,41.20770731553248,44.265150798768936,47.55679861287545,45.63565204835589,43.35011193374789,48.52259709537275,49.74085639993326,46.34457242580136,49.61005217730062,49.2301445318684,51.6152544640477,53.21369655477443,56.071775239021164,55.35277665118282,52.71165870501169,50.74800406191315,48.329604005799695,47.759013089721584,46.08988113591678,49.1551951664413,50.582137797749226,54.44548963669348,54.770065311575614,58.83620157169976,61.47470923732362,58.47309589557961,55.362832438906835,54.96776317366957,52.93182509647437,50.888602252880055,55.19878304408127,50.49425100500979,52.94800718404511,56.77363549579381,54.40509353737809,54.302741757556944,51.56226608325424,55.057410024083126,56.469718474187786,51.83355548493185,54.36495872612808,58.47457478167747,58.82393642624671,62.128322982109964,58.232177966760496,64.10514082737534,65.26467815017908,61.23447548624401,62.80346905567469,67.1899331361884,64.94560054765591,62.5503577908093,65.15927727664454,64.57114965583554,64.56132233225533,61.38542855222766,59.109963767650534,56.06799036639738,54.955021630466916,51.537292871626526,51.2465159219038,49.264750776587896,51.125835354234674,54.28592217741781,56.39986771844007,57.21328833916632,63.20643973184354,61.583837335807075,65.51232239997574,63.86821180820499,63.53462998612246,62.366170855737906,60.36668012260002,59.31415650851043,58.01769601084257,54.1968399837449,55.067216283792625,56.78109061997935,59.39716961857427,58.38137487312846,63.09977954848378,60.59480037654323,63.648340615635284,61.02243876374002,59.954273927919864,55.409299285247094,56.26357011301086,52.03557493707003,55.01294756242929,52.7767737077218,54.77783762769669,55.17048058271267,53.94063298122817,54.46243103270828,51.96758121956089,52.76875537122404,47.93522388039941,49.34747387075138,46.60074143881946,42.955339427560965,45.0614235724362,40.85435012635515,41.44006159368332,40.117904597066286,38.764651867899104,40.19985705467451,38.087350477462934,41.34125509416604,39.29896311028311,44.11839598326311,44.96713715472127,41.71656326208887,40.237256983347855,35.87533908290102,35.60057536121517,35.51513424857928,34.83245126242632,35.186631729804965,37.372592330664574,39.05967041170828,43.38467749731874,39.89740530243181,43.976739743398184,43.6056010826749,46.990413177790984,41.713908261805074,39.62629799710524,34.82588506147112,34.71496230904122,33.45137001024228,37.04837586297234,35.94444404004497,40.23900863426772,42.43787336749648,41.38798151617092,45.00274540368853,46.017481270183666,43.01516094546018,44.37387754038705,44.392748615233835,43.501513869389235,45.02548307434525,46.24937883705867,50.564394557208004,50.83578308271725,51.95006267825032,52.04330636801278,49.57314279397216,49.26906749389194,49.343407167037235,47.30553519624316,44.746098891245644,47.85018853633792,43.446880093741726,48.051491595408514,45.27665241024591,40.43331162741319,41.860514415829066,40.49054493734819,37.77170464994303,36.151950408941566,38.29655024069649,38.87194574759916,44.06511611034638,47.12939533450607,49.856038537568146,52.198285018471196,52.13214180101294,56.888492815834724,54.70241538532275,55.03592670747046,51.347350754428945,48.74245884221655,50.302574851859006,50.95898713526182,48.34719153051498,51.59016689384881,51.45424555646986,53.38322733654933,49.11568869493995,50.335745708210744,48.79082408387346,47.96556154287906,46.00388782314268,44.14272546425807,44.30265163318689,43.124683910893914,39.431561433090046,41.34531487266193,38.60951051143672,40.707371378813754,41.84070314959758,43.19538047019419,39.849060612426385,37.39084273062487,40.78726537307421,39.26334380893788,33.319748600100226,36.24205915200775,40.83062693629588,35.711983149399856,33.78312571843106,36.89525445167917,37.375115129004215,32.76166567167443,32.864589210036556,31.08473893692607,36.32568099604549,31.65422964037676,35.052075050506744,38.57441539598919,41.52525818808498,45.097681337242484,46.18948628000023,49.378681136572126,48.35046853579232,51.508379845609475,50.75939581288893,52.81521215468197,49.972224783888784,45.28037215593146,48.414522229984776,49.05103150568286,44.22155584351932,43.63733839663387,46.546282728354385,43.35016249892413,39.51659686619924,41.18087763893333,39.56295444038144,44.765201128514164,47.43853632239505,47.660350556199255,51.301222324671464,54.409190145608996,53.40060672770629,48.58741069613274,50.223935948594644,52.60249073529011,48.54602147804117,45.82117408342339,48.71708851525896,47.91409075099724,43.70000048328511,46.61093986177653,48.08974084587134,44.25272778333251,43.12945471128123,46.14979111022658,44.021553697327946,47.028151274806625,46.81942103068407,48.47942843295913,45.7661372602012,41.29756012445633,44.13456122894763,43.09763896098645,39.79663447564216,38.92302696187069,42.574642183570504,38.94321514152428,34.959882379598234,37.49526497401354,39.55074991431689,35.67198967916814,32.4965381062986,29.228009795956243,28.302502427736687,24.403619769144022,27.553096681192198,25.26325336763419,29.242076547744073,28.94137012823451,24.28686339915847,25.638687581957637,25.062842907971586,27.81971728160066,32.05557294417659,32.32242742894245,36.35496359733739,35.151174556681035,35.92611034807729,41.69811875078443,43.256398037484104,45.52791959047557,40.38929671296223,39.076233676487355,42.22027355395728,40.11481037471085,35.859243047880504,38.71794200812316,41.84236852322509,43.402503132012974,44.30687256711195,44.843619294285084],[34.82284869767181,33.27868625255314,33.77902091839402,30.98682529659146,33.75168938268352,38.078214071799465,40.122650016684474,44.61969334150558,44.73442385599686,45.24282455300369,48.439862667290605,51.523011958057594,49.62542139786014,47.66080203314959,52.84677444811716,53.889258592910686,50.50912472860388,53.88325399566167,53.59694973097187,55.72384354567786,57.38424175573039,60.02250610663879,59.39105340138286,56.66938495599333,54.64265488623187,52.4449833064391,51.67526523749186,50.093743557904176,53.171552779797494,54.484946293899434,58.706085697278624,58.69513685113359,62.86069377145139,65.56676169222241,62.416000212519926,59.36125951691222,58.68180308779265,56.664728890252135,54.46594749554493,58.42777413322451,53.90953114335055,56.68480395430469,60.365040779624856,57.84305089722878,57.7677535090718,54.83632801525089,58.199414730988906,59.688105046218936,54.90440750371506,57.088680812309526,61.303467328804615,61.59574974553471,65.05205291811939,61.32980875568849,67.2132239593646,68.47010829262196,64.6063723267469,66.32663771202195,70.67930568245781,68.44722445658729,66.3152163331018,69.12720778803987,68.6623880405226,68.75161033565736,65.44391467497219,63.14862651938454,60.408663881362784,59.303516363570616,56.095814270060835,55.84465041036604,53.980751586497284,55.996901972797325,59.017909045765606,61.04624353459671,61.695273436162864,67.67267610348055,65.80836111686082,69.69871048270589,67.85756288824747,67.33515757280944,65.95479500481001,63.70673099309972,62.54387979717073,60.98418722079675,57.27996685624563,58.432559312955846,60.40911532581189,63.036780710552364,62.335406225579,67.12805734985461,64.83381075176423,68.06480425842345,65.44453430174138,64.27746544334275,59.70911657302123,60.68656791136645,56.43210555163653,59.10226092504338,56.70102596354268,58.41659113355705,58.80364418188646,57.14999449853176,57.75931122480697,54.86436884533759,55.33724715926947,50.443901041293834,51.4079766113712,48.444741072843506,44.86520274981867,47.34135000162316,43.34956535995533,44.322856301323824,43.40005705009599,42.196110486101155,44.07836467513047,42.03339530503344,45.42870103907756,43.42775985676175,48.48628375462528,49.3309402701837,46.19047328484876,44.622543292468244,40.19457379641029,39.6995001311211,39.367896457336286,38.256755073890645,38.097010448225696,40.14336126073225,41.40525425372483,45.64582925916153,41.70598793628647,45.49865588556837,45.2929997416529,48.98358547546728,43.866671983672425,42.22354097484293,37.09612472401446,37.636588547447154,36.82121209710566,40.48023093161611,39.63241094783654,43.845089028171714,46.248132042161416,45.078868023419666,48.579669117751074,49.72786041332678,46.69394703153351,47.98788700429182,47.73887446475042,46.95561908673509,48.120534534393336,49.58979644141718,53.63004002472517,54.04389005915571,55.44210968965281,55.443110578400315,53.113837294209425,52.47329050235057,52.81299943426424,50.33129020527139,47.83520946227372,51.233040065335615,46.761583309274606,51.2361247018056,48.10994681562188,43.272303027020364,44.191249589907486,42.62703837828276,39.723539035279636,38.582825119618896,40.647695390683204,41.66703912877732,46.80097171435683,49.93401513834,52.83659181588901,55.139966646916754,55.44532294874171,59.95210839827815,57.71040634407488,57.78501928331243,53.991559130542335,51.27321998225431,52.46074067037165,52.95527052033241,50.590274716304634,54.14806038705066,54.3986653917492,56.00717517609601,51.83771528973326,52.654696621078905,50.78383211535419,50.08548104340756,47.723144399584,45.7571259007995,45.65979853602412,44.09435322066838,40.66605699335209,42.32031535272428,39.49368830314249,42.008129438566954,42.61504828194546,44.3922178196244,41.35889189065374,38.33197489061733,41.566121124029124,40.596578785902004,34.58054320102238,36.93994386001812,41.7428355043863,37.11890663342412,34.78122274980405,37.63650424133749,38.7172768337321,34.21634503966386,33.568814456476716,31.618595065088353,36.401647240120504,31.165481557094676,34.91267833069667,38.2371708781455,40.71423122125791,44.15925621763998,45.073213895029355,48.60360891422225,47.85005848150074,51.135859329123754,50.85609647177507,52.54902391393247,49.36775114535519,45.183999695931846,48.44173193330673,48.53289786916461,43.70877038527607,43.59673119048839,46.47140774074536,42.69257258650113,39.08032088693436,41.431082756745326,39.93431002786383,45.591236004068975,47.998069178454536,48.225851747855685,52.11271200861343,55.10263613797267,54.56483762128477,49.676177391760326,51.032736846850916,53.78079118473197,50.0143521528751,46.93833673383052,49.86832688918418,49.35944860036503,45.02715896858809,47.450192343528016,49.13516840494504,45.607359501131306,43.94025662529003,46.62775421712219,44.35205861470364,47.2675771614572,47.28113364082556,48.49364643766404,45.57335745179739,41.557934681872496,44.18677787936372,42.64290515243872,39.47641788162886,38.90183370679602,41.90814900529747,37.91619719603816,34.49638641687916,37.05724871311464,38.39923928429913,34.297473794372245,31.560647951408995,28.87513470744467,27.007582768380523,23.6266209811496,26.77363147626419,25.52284160897899,29.82739780368601,30.338769420825543,25.600643026459608,26.713265243686738,25.506951577437814,28.469468918941637,32.70163141834103,33.87471332575218,37.873497973590744,37.36337474590748,38.00579892105182,43.72523613946539,45.03703385354391,47.71415475374469,42.845622340538945,41.13761848627091,44.45764587823243,42.91060931223289,38.37754897742751,40.78393121661173,44.03718720631899,45.58916817710518,46.44219198212225,46.865207376479724],[32.063055978456745,30.1511338210549,30.12288307506782,27.498556959443953,29.75908703806448,34.53219647509195,36.51198239262327,41.001980457862246,41.447240337547825,41.95551740908756,45.30715880148067,48.2477269725638,46.16951922737217,44.52833285508342,49.688641399690134,50.50734585125947,47.09479838577108,50.545928860061444,50.39270791009453,52.25012517631308,54.036843508561816,56.50805413793641,56.04906836924701,53.351785332948204,51.161644395519914,49.09167032087652,48.076337714481866,46.51964496300895,49.58545045576587,50.82143147267037,55.37337732055356,55.08919828427968,59.354537716864876,62.05262436835623,58.75848721046974,55.74201018173687,54.84550069779985,52.83993801935821,50.55322019362285,54.31435991714543,49.97587122852473,52.95679515859895,56.55629863193904,54.01047065790444,54.08963892637674,51.13095880437822,54.47608684253922,55.83153007528932,50.9326907228066,53.02675177883677,57.193972830519755,57.383321732909366,60.88888550744275,57.19237446607238,63.04790095124201,64.43988607332452,60.6832251609124,62.40311505939867,66.76295811648187,64.64803900687775,62.643728943641094,65.5580130975596,65.1496935541309,65.41175235338454,62.00894225766876,59.621890854541334,57.193863528651015,56.041968024912975,53.10295376129087,52.89101444263753,51.20243635581085,53.47074571834323,56.24652877424746,58.160717775888884,58.570206907055436,64.52227837016102,62.39844497923596,66.2295086559085,64.21347766932779,63.5537405106216,62.00225868361405,59.61068363380354,58.37026285287761,56.68159949866301,53.052262238683014,54.34756975153631,56.503231215872425,59.122559801903144,58.671210461145186,63.517472086319685,61.43101567152713,64.85030931178203,62.26721803022027,61.03970723531308,56.48408026171482,57.66597677168652,53.42293224963838,55.7607419466669,53.28350237178259,54.920687233424104,55.080933107244036,53.225801958769885,53.736524016668675,50.684127862658485,50.9285566624442,46.06812688577,46.91740679438486,43.855224458381684,40.36457544391751,42.98764252709756,39.12788998436275,40.1327473279523,39.49546344391844,38.26742003991086,40.45954485416161,38.437332648453136,41.93854742544529,40.023446576928656,45.335435039023174,46.11070813452387,43.112713329310914,41.467029597692296,36.97657926569165,36.29858610960773,35.850635442015154,34.3425849136616,34.05787312345116,35.88648412303263,36.97922273940369,41.131119937857704,37.056259632330786,40.785960143448044,40.58291385514488,44.34524008539715,39.27443778738738,37.79579456668249,32.567362736932985,33.37311568849073,32.82248754857226,36.51271110768148,35.96810659118635,40.18916918865884,42.62180367064082,41.296235751053075,44.70169947154389,45.90269414469584,42.8546621192921,44.12661364040035,43.74430444789285,43.145040792059156,44.19377189745974,45.95677444018948,49.88461236810826,50.6483120070715,52.03046493287066,51.78659145527664,49.42983984031043,48.5512803376268,48.932672641285045,46.17085066444112,43.63405910482759,47.17592996097184,42.69011659456188,47.082857879044106,43.83058931058186,39.06335299479341,39.755624228513014,38.256983854125714,35.21759484817608,34.193341909397766,36.16578323099376,37.34218156667228,42.428178000841534,45.57188896013806,48.5506788998263,50.85022067991221,51.363740524764175,55.723930875077656,53.42759044776398,53.3861771534644,49.556536073053756,46.80600262308062,47.85795899261726,48.32591468642082,46.04187898933088,49.74685150987054,50.171615159038325,51.72609304096876,47.72340347430304,48.32808778518293,46.384219632950234,45.60352569604894,43.11721918588084,41.07854508849849,40.912551575183535,39.3003468816643,35.89009423213695,37.54513449894495,34.7800448127448,37.39469579697141,38.06214532377755,39.963907133120195,36.943247962068035,33.911163276618275,37.28731426307439,36.46172615038979,30.406402046251927,32.86343382438649,37.8551836676327,33.380437627761125,31.109525156512255,34.14339658375125,35.35802300605729,30.958287079152463,30.437907403627793,28.17935929807086,33.16724692682056,27.532886139720286,31.085426084361313,34.61148242617347,36.956040242913275,40.68322948022733,41.31428990848254,44.67164259239775,43.69883082835773,46.86635556798551,46.440477403721005,48.08107719614755,45.021998885062565,40.72269837876206,43.86389852992512,43.99344033577259,39.18479918577476,38.952064195590296,41.76643558228985,38.08873503499512,34.449879063161234,36.65188066361643,35.247344610366994,40.88098300691499,43.329696175131595,43.70846387432355,47.59495526798161,50.715304127081616,50.14637660686201,45.232541926209294,46.786529154687685,49.59353699350167,45.80233583911743,42.80386912210347,45.942680658326225,45.54308904345888,41.210465754018294,43.69199283211657,45.57339640660923,42.18617252669711,40.46667713083077,43.162946510404474,40.70550038959308,43.425993332688606,43.199191162892866,44.37343663244612,41.69906238968047,37.53097225032866,39.942102151048296,38.554693879911014,35.44642953519715,34.560762002396444,37.63079398051978,33.86062316824294,30.238495483987535,32.5762676017798,34.134171258311106,30.197113125673763,27.291315960941212,24.58043337162634,22.907190578054163,19.5275762375171,23.069650079486482,21.637097528257954,25.82455537057293,26.540567752541545,21.726023399379052,22.472475941449193,21.060861400842768,23.872865195189142,28.192015258976856,29.41550528477752,33.3125563321116,33.000212902081174,33.842355495184684,39.51201366206836,40.91303189361728,43.67467190098377,38.902896968127365,37.293541485671255,40.808089416751386,39.30370464217124,34.893068619213714,37.34939352810226,40.810072345868925,42.43023315016682,43.330415563305856,43.83332652631003],[28.645004478871343,26.913814761981577,27.280508886478415,24.41344381127039,27.24392440999824,31.515172705267975,33.623923621575244,38.09757640220754,38.32104627014391,38.993186340830995,42.243789997457874,45.1943858073326,43.42228536001869,41.63517163192767,46.83945103208037,47.82576623857284,44.61378446085791,48.18927540302604,48.281269065617344,50.31878205106186,52.275328133505354,54.984826332618795,54.619119117605884,52.093658160425434,49.78614242960769,47.43322782539098,46.38087838252749,44.5292208503466,47.39290471031431,48.465370041209006,52.796827237796606,52.541584139788256,56.701840032085066,59.55815379980267,56.42173469785383,53.5266515560288,52.66569591914317,50.97144906821172,48.901539214519396,52.994682936884956,48.70422358310883,51.462051670304554,55.23538917894615,52.93110751700892,53.19535778156567,50.45871009799297,53.971928026511506,55.06691812499126,50.190530417441416,52.628460773841155,56.60311915201397,56.69057001605984,60.081104871351904,56.125567871425375,61.91167744279657,63.433912646007236,59.579926223807036,60.99413784513707,65.466855609514,63.54998003055306,61.25869856353391,63.92476275888958,63.284199145957594,63.68073015289031,60.414439154053845,57.855379752424,55.24047636308774,53.85723420159215,50.814954792807974,50.333990771624784,48.660221123318756,50.86523977873664,53.66458817573733,55.84225603748233,56.16951945356165,62.20731653781557,60.29424291360492,64.0371537708843,62.191464424523524,61.762687814373855,60.18587712263737,58.05840993350568,56.628505979136904,55.25162857419141,51.6361292116998,52.614612819975235,54.752086544930044,57.1384915985593,56.64086669209031,61.267304958576496,59.06037463916179,62.3662849114185,59.633933089211226,58.302364374268116,53.69057567852209,54.691803974676326,50.40811914309337,52.885341008135114,50.377653434781486,51.952507777133945,52.43608831505193,50.68063863827592,51.44694604003653,48.490299875885455,49.16535055109721,44.18496131487753,45.21707228629228,42.40574042539581,38.68742061648919,41.00644986535937,36.92499966659791,37.99366330144179,36.99420821713436,35.98929832933778,37.992531678094714,36.18080982700771,39.744344859111784,38.07369021976276,43.33306558876655,43.802439748883465,40.700484617575306,38.88489086556305,34.528868792686275,33.733198521008646,33.131820283440305,32.06630041351053,31.64419521312168,33.8806115634706,35.206479935883166,39.588904945048895,35.859019577508136,39.78694816257149,39.787557934726294,43.219781865489516,38.209561181317575,36.34809065150139,31.29192021523511,31.82843304080354,31.1151126559914,34.883592231288276,34.5681674801274,39.018304418226386,41.09563621586356,39.63670024624042,43.12119173423403,43.97022670760397,40.8559551310183,41.89116440866338,41.4905124595859,40.56547390319247,41.627340664502384,43.06318178143026,47.07096151348152,47.50878831452168,48.9347990950491,48.93209953912471,46.673649625051695,46.00953861409867,46.48570070110942,44.03257839254343,41.78617200376903,45.31926417352249,41.11945998731533,45.64526444035766,42.8010225124374,38.17736514936212,39.14028100486428,38.03544648371478,34.92028769853293,33.49103418799065,35.31375308572738,36.1131282080022,41.201539722818914,44.167226308060734,46.936045955163664,49.06157333220409,49.31294082637737,53.825108230147904,51.80570802845823,51.85076182583645,48.317338169359516,45.31604923391837,46.845763476047914,47.60538961020272,45.2211115813952,48.912839047736405,49.123606992888014,51.09162139868397,47.239519781817506,48.00869574319054,46.30396270299681,45.20653478325684,42.894290731417016,40.73305139965618,40.57175076338605,39.08149001370695,35.31454054071482,36.88656958864613,33.90106638249729,36.07895254174857,36.85894072910088,38.339217731220685,35.17766568842705,32.39126082681083,35.66524374805762,34.38896923593466,28.398715075722457,31.049646096640295,35.75030478347354,30.89085680549577,28.75926074451766,31.817922066879483,32.63503256527378,28.10259734774597,27.896938228252253,25.92177243753843,31.097050083602493,26.162388866435844,29.605885228007818,33.12273328003375,35.98742936375602,39.59723726882164,40.645375212050176,43.84903852230149,42.87616765844928,46.087527751182776,45.47960408808389,47.52161393103595,44.58136934029326,39.99284823856342,43.25186548006918,43.85474193811054,38.99573178356491,38.56418304589483,41.626860000349005,38.35367990280109,34.473806112571594,36.50800394498946,34.61081833328406,40.01891418850639,42.51224495349006,42.574627844674616,46.315730006696036,49.306104436374476,48.53166844998561,43.687523429617485,45.12243746518103,47.67262659673273,43.778444308853665,40.842673055657855,43.765091198510824,43.13263588975635,38.843706774760975,41.53283035663463,43.16108672517927,39.51810630530378,38.10793705199636,41.002189687479444,38.762552255311945,41.70684861674267,41.5593412992491,43.089465150740104,40.32095598164688,35.960116323672906,38.77061811083634,37.61095687940732,34.319019617419,33.569576381882186,37.13969862080508,33.43212025750491,29.5142609017563,32.20406117327365,34.18310751498548,30.25217227572017,27.088287112814147,23.808752989438002,22.895226931002572,18.934935940548325,22.02393423329089,19.893097641996626,23.985700848040707,24.080773975998813,19.358524600485115,20.624941540274673,19.879133356441443,22.834186919204665,26.980483113211555,27.718903102660768,31.82530681859949,31.05330166613322,31.569095765346834,37.313933291300636,38.6653116067583,41.23536197021895,36.31183484625005,34.66809466616917,37.97736307466428,36.346031211081005,31.856693387741057,34.396323964517315,37.707080496562256,39.31813540413567,40.2510492473514,40.77408452559322],[29.245318633316135,27.996975910618303,29.026353585673487,26.51865698185571,29.979096693083836,33.737210666454615,36.18697229064667,40.53640916280408,40.68152638878568,41.698402315652224,44.826206141696495,47.685997157669156,46.34635377888961,44.48268770683806,49.707717641528184,50.845467041671554,47.8690835109017,51.56169255674724,51.852926406613406,54.01112034040007,56.07167003356015,58.91330235018594,58.58899971729565,56.1428826244813,53.800822131033975,51.30338268464681,50.231615463757905,48.1918637880608,50.87771243248387,51.76015583536678,55.93114704993486,55.61633339993032,59.66901740672568,62.71258587993949,59.708606659390696,56.95792979062506,56.04946157999351,54.64580093651763,52.711951576599674,56.92323322268333,52.73137532066474,55.40028657251462,59.24502251251111,57.05400357050891,57.4007147666574,54.734556501917275,58.289758464230765,59.29915389790018,54.416630707730285,56.92826344657327,60.83677500353146,60.85483513392874,64.22079796246167,60.172653908005834,65.90563806013054,67.52975702504979,63.66421263201295,64.92165509849428,69.44849459297339,67.64987790853492,65.23919990860698,67.76819483828544,66.9850592176337,67.46689890330897,64.29040223334275,61.63334799391333,58.89960974735803,57.35626758533465,54.22564621694282,53.51495964967027,51.838845335186114,53.92637491670806,56.789496879058845,59.2008349170225,59.480076652601404,65.57402190788444,63.83387921033059,67.4887406320477,65.76034675800186,65.47853599203555,63.82664964212087,61.83701646401952,60.2071039741985,58.98301355079937,55.4457745870503,56.2750588697105,58.47807600769225,60.660977725274975,60.213476069130465,64.64500561288487,62.3729251775469,65.57943430293126,62.70439795656733,61.24709007918592,56.584456602698324,57.3788750580773,53.05877761899208,55.61956266515145,53.01990965835838,54.34525758316988,55.266331302479394,53.40150525249029,54.528509751130926,51.45762641923711,52.387620250734145,47.273710528492515,48.16210435825234,45.47793208512816,41.59712325909615,43.83710498531018,39.70275886586187,41.11224149007642,39.9463937192946,39.28279908821135,41.24171507261507,39.666910854279855,43.28353298324918,41.80623345585599,46.99383090244486,47.241286548227706,44.06301385690805,42.103810939375165,37.90419758892444,36.97778171593002,36.14546545203121,35.40657001801121,34.544910623920515,37.12487355701187,38.39295402073268,42.905712400665706,39.22364450287354,43.083922461278654,43.39198610880829,46.71907574065096,41.90601113993544,39.998135294198605,34.95519379434016,35.607453000878714,34.944237750400966,38.75405634039846,38.62190173243963,43.154319086195066,45.0597565228601,43.51229847958696,47.0097173996065,47.62301995282218,44.46439693464331,45.25090899896999,44.71326924701921,43.47776571778908,44.32394568989187,45.45389860665488,49.34225980504392,49.35758898554617,51.05946806788379,51.36630734739744,49.35082094597993,48.76867803356295,49.51327046113802,47.181743301739964,45.28692189170686,48.91954356887304,44.954069271628704,49.50729018442153,46.82935304619337,42.31999319996413,43.24326482421417,42.271863579842176,39.058184538335595,37.6208782849168,39.30039757668467,40.03433715862143,45.061891925587815,47.901442131903146,50.56067114846662,52.49004039882623,52.67363013847369,57.18414148900612,55.41051243448105,55.39503923318695,52.08240102409874,48.8155974252758,50.53162836894961,51.42346167735239,49.11454148494128,52.93446328836612,53.155533760339736,55.250137507751695,51.51536547700223,52.233304527044915,50.52866343922668,49.31954207767035,46.92127266157155,44.630254302629645,44.30780615920716,42.642372321703014,38.80921934693215,40.08082704717679,36.82375232914518,38.890904844370475,39.27004342275529,40.64337584049896,37.65880890721116,34.63885011766847,37.542134025758024,36.26672420013229,30.401764731367262,32.60939695181282,37.04206096856513,32.23984431325822,29.860367489700977,32.5338525936559,33.4137903872471,28.866581864526076,28.17869783260524,26.569053331789956,31.271864096931395,26.812402253829234,30.563875852189497,33.71982413794291,36.71049999885081,39.896680705950004,41.359656226769275,44.81319697115348,44.22245753644849,47.64496203387769,47.36963813409246,49.48992822965365,46.30476451072944,41.98703383182311,45.51164326144778,46.04886867181802,41.15847289002879,41.0359381150986,44.30459322427636,40.8465025248074,36.9866127537114,39.538234297848035,37.28036932545117,42.84488926753628,45.10571024702903,44.79223095301434,48.58679373885466,51.25498717065771,50.719467048552204,45.92831092680613,46.87471375298639,49.44879317883767,45.75654244192707,42.553810983827205,45.140146766066735,44.479306550617494,40.17260582121284,42.56135105813964,43.98726013830457,40.31180180636578,38.764176983215705,41.51903399797252,39.49503431169844,42.67494294816283,42.95529583753159,44.436684252399054,41.258335328830825,37.25634114641005,40.3657258784334,38.87673383593325,35.52410648914305,35.37283739568595,38.75606226291697,34.67129808868524,31.152053149434845,34.29250012916779,35.871690734752605,31.6695955745207,28.792615656270268,25.604496978572776,24.365519903171556,20.449684327858055,22.810625760477127,21.225614084318092,25.508738554165642,25.645843569718483,21.152814339660253,22.857351120245667,22.2535632374637,25.52845419488527,29.383497680150313,30.453131477467956,34.69913636461585,34.00464548613133,33.98284170118179,39.690354608033275,40.71020781926582,43.366876322521996,38.53285804654823,36.48036682355107,39.56737836118536,38.28796831809072,33.4850833230883,35.630120436983255,38.71379090233666,40.24626482675602,41.105562761272616,41.49728191762112],[30.356089906502458,28.690395885064387,28.98356528615636,27.242423893945144,29.862262300230835,34.45395144994451,36.93787528252348,41.22566403381497,42.01784567130301,43.10318836309521,46.475999426463865,49.07920770482212,47.4634191395146,46.12932331385988,51.30058233459344,52.06932599733547,48.994264349416596,52.74145884217722,53.07913302914659,54.782809093807394,56.8979144396067,59.362151824141336,59.18696868672125,56.64350509364066,54.195574690488904,52.062412193429054,50.69843130948373,48.868428292295185,51.63181160943484,52.45393741664278,57.197764144484395,56.446118627558434,60.679135082740245,63.67542142983454,60.39958702214129,57.66630331236573,56.3935661510038,54.87918443771078,52.692670129119065,56.36699946632405,52.43411072443961,55.549115060597615,59.152246724797635,56.754981080079155,57.16325145136342,54.28128467818542,57.65378069867507,58.70421709742268,53.653471980666424,55.720034730403036,59.71819034048525,59.65384547267544,63.189550766622986,59.39718630225489,65.12371910984025,66.8576704684248,63.23593885043442,64.71548986227575,69.16601947241776,67.38703039805327,65.37268184731163,68.21197204259659,67.65418251695671,68.26966753301014,64.8851310508792,62.22669502353674,60.01207314841339,58.54590798073258,55.80779554164543,55.28010122581928,53.80848664765494,56.210438502184864,58.780648950543096,60.92124280515388,60.95274026422956,66.96635188996731,64.77935951559716,68.39758817413725,66.33400860867971,65.72339820053787,63.81632890043042,61.445505457020325,59.76721659000437,58.14279712577131,54.74788726472411,56.003544634932695,58.51696878431524,60.79526479524586,60.76579270101158,65.37536584758443,63.458617911325355,66.97054361077653,64.20473345291566,62.69147593409664,58.06261892920029,59.181470200955204,54.88572594397996,56.91877357176618,54.179406604168044,55.29087958979049,55.86547146386965,53.52685603312162,54.50998791821305,51.01912810689079,51.35884406574245,46.302128030979226,46.70900203081097,43.705191459241426,40.05249694336819,42.78386163133917,39.02307726388459,40.684309487582624,40.176400619619145,39.494995038987376,42.05417095319058,40.45294488783909,44.18864576574683,42.703628805542124,48.229374785095686,48.5597877852929,45.61839063832518,43.63646153058085,39.304576647703406,38.165781559159186,37.170293156595534,35.65440042626362,34.42553332934714,36.54086951359239,37.27613645851218,41.538754423609525,37.32444769727079,40.826091503285916,41.18433480815242,44.884280131433364,40.230444445044746,38.91818605360892,33.547800856765036,34.95464903726072,34.862737765253044,38.670568472057845,38.841839362685256,43.203875986062684,45.39323494956322,43.71559447579216,47.01396531656539,47.89818923230998,44.752851270100656,45.5798185966355,44.77562952084601,43.910098315706755,44.42090884262743,46.09713930735758,49.662154732531704,50.217687317898964,52.05619038562789,51.983959935264814,49.99625661278728,48.90861882444683,49.81097419090909,46.83859401294331,44.840539694289866,48.764324407836085,44.647268376360415,48.97214646913716,45.82129401671442,41.350829736155745,41.649512124839354,40.47326896740819,37.081679170905694,36.218676046737244,37.80264734008373,39.090174627455355,44.00020216668524,46.94526140694231,49.85239680128726,51.815649554200164,52.52024179073867,56.66724328059346,54.7050259951722,54.389873516143815,50.8743721613361,47.61845498719443,48.77714714552184,49.4240675794367,47.401362375427794,51.53667462329323,52.23286477000381,53.90323616512804,50.32906188620249,50.54779305304722,48.4907988518895,47.42338999966436,44.60336929902534,42.23634334184355,41.67246390771468,39.65378790810577,36.17807957090058,37.26919572447839,34.08588216902409,36.69171636477778,36.67969332982662,38.62790664330693,35.95486418423033,32.427716265694194,35.354054702053794,34.804792421633266,28.86353693542946,30.633074927697493,35.496116366247605,31.38208089912649,28.71564452321521,31.331743028369054,32.94833039333152,28.671371728222976,27.41017701845017,25.263248540345007,29.696293884389114,24.125464723243336,28.02343507474927,31.20381812251881,33.491221436948756,36.86828752464932,37.787647470338946,41.42408818392621,40.8464296215895,44.24384604011443,44.26763528314413,45.91576733410675,42.53534583810926,38.62518108911191,42.096729257694456,42.07904589044602,37.235432308013344,37.45145623197913,40.555711024059484,36.60324993913965,32.982112513709694,36.0038832503704,34.07966329521701,40.02488274128791,42.09323733553812,42.028030421396615,46.04901632038973,48.78799506397723,48.6507188505591,43.76735451647216,44.72463198458114,47.716262136948075,44.26488135685031,40.86133410997765,43.73894158103388,43.486707544529665,39.09266663242297,41.08290559883347,42.93925504170233,39.74032315672734,37.620422074916526,40.04430246069177,37.65597750723525,40.49132515787123,40.69132410892364,41.657070948296344,38.579632076869515,34.87295470881275,37.46931267799172,35.63716630301873,32.513648129027686,32.280380548639386,35.02255307166078,30.814221334178644,27.686653824770335,30.53775308685487,31.57550246543406,27.321031803667914,24.755928504449262,22.236454003057794,20.106591038795337,16.846388084902447,19.685948719378963,19.119798146651533,23.563598098255554,24.772634312081358,20.173303856409344,21.140763598935774,19.621249966524935,22.86120685311015,26.792788765687952,28.776052188619264,32.797037216115555,32.9503150474116,33.13232791724578,38.69198264650566,39.63093002806583,42.710796144454754,38.23747793541869,36.02602664404105,39.479090443845955,38.675480631944396,33.86517891422587,35.69462982258964,39.10642428414049,40.69121177672172,41.54735507960553,41.92419492012536],[27.71447927834215,25.681611049740194,25.48350404187986,23.654662413040505,25.858719207952525,30.76607894188759,33.10543092550123,37.41484150076706,38.360237388777456,39.35396127000255,42.81497296389873,45.366600195594735,43.574991062669525,42.417169123837034,47.550107084356185,48.18301936165042,45.071260375416834,48.83427812867047,49.239483059729615,50.79553303921254,52.981861861895574,55.3685924249629,55.29865589582788,52.80607797562212,50.25463473733808,48.169390121121204,46.67248092626291,44.847121162715936,47.598215083172775,48.39984728486645,53.30318715283462,52.442011775930645,56.72822983569354,59.68256850147554,56.33323759694297,53.60646665403656,52.25183233869219,50.72777056233463,48.51331622520882,52.1266046952598,48.27845604174743,51.46069358280551,55.03555595601582,52.66561106016634,53.183086313709026,50.34027165003953,53.73050151832421,54.65287045364016,49.56623481464711,51.66335420501183,55.58731774413116,55.46369720972134,58.992743302727675,55.172657963436706,60.87075343578277,62.6717579262702,59.086644066039874,60.5274230304144,64.9874397358709,63.29074586430497,61.30051979838379,64.16251512887753,63.61987736723133,64.3294651890473,60.91383619162443,58.20076216565777,56.14971882369269,54.656702982571694,52.078259090782126,51.58383701922348,50.219810230946486,52.771803982073855,55.18072436358799,57.23672756771897,57.13677798361925,63.11567814559695,60.79767318357787,64.38486979823129,62.24130509777585,61.57250397569654,59.60405535760669,57.190482036945696,55.49708220953275,53.84349734422465,50.46722341269863,51.756464810457004,54.32751689627801,56.60563611861846,56.67268327897586,61.309950944556206,59.49582129058302,63.10078920215934,60.37655015124347,58.858012725108885,54.25533686985925,55.508521320541924,51.23946440545567,53.09549638728197,50.35370353903234,51.50854076243263,51.873212011325165,49.510934476515416,50.36493777893001,46.87345090519668,47.118373149669516,42.10002857580293,42.5650543795343,39.534602424672585,35.923663393403295,38.674021306698776,34.94090628783022,36.50137422701551,36.11854467855956,35.36415241303484,38.05716006742151,36.455825428508184,40.22812948674487,38.806812461622904,44.44773097630704,44.729159940316,41.88711895698139,39.877831714378395,35.529410592530404,34.30268154261383,33.2792669872238,31.53666494539328,30.349049493813983,32.31851371134504,33.042533092844735,37.27451248395014,33.074246851290305,36.638098775001545,36.94011716828572,40.61353374282936,35.92750892188095,34.608751250846325,29.23197593784982,30.682773767527234,30.69885143815152,34.50958746834369,34.87245898439037,39.24658974027652,41.39151286088172,39.62377248672405,42.86901158715096,43.760425959308066,40.61823446308631,41.45137343786806,40.62123303504866,39.888272616672545,40.42175216010908,42.28629840918906,45.859359619178875,46.689401487874306,48.40298094336796,48.14037696432746,46.06876684252056,44.88455310441805,45.726094202536785,42.64887526984482,40.581836740508926,44.536494377514764,40.42393399415031,44.718324140533035,41.56961662946113,37.1619033359275,37.428521585606845,36.37579741193595,32.92481163291872,32.0069054506265,33.5301618926872,34.812730975302685,39.70178794410058,42.639704263192634,45.56078491851716,47.543678107229155,48.30560937464447,52.41699120013888,50.413797693568974,50.09065591020121,46.56392749889536,43.32007470377585,44.48519474751183,45.16096625267619,43.11843778014609,47.27282566212649,47.988653810197754,49.710164403930236,46.24045126021272,46.42119764558474,44.412741767835904,43.233535599980584,40.443190264316286,38.04596926117339,37.51142717577361,35.58371133520662,32.014314394105206,33.20778310269818,30.090559233401137,32.65821437821539,32.9093104359494,34.83179010468807,32.02693504532241,28.678599390222065,31.842167607958658,31.210812320959466,25.192098361102694,27.307903062988583,32.32091289356113,28.119583213366063,25.657377518285266,28.58459264226024,30.101069702207923,25.847080207782653,25.013407737127082,22.606518202794504,27.479797487176118,21.70166744613349,25.280151405705947,28.778109852140236,31.1449838880112,34.86337557446115,35.581244901219954,38.926684105984165,38.01680964395431,41.26133532820244,40.95558291769717,42.70238135269948,39.556593578756285,35.308528051537934,38.63664062222031,38.8661491580819,34.011090943982936,33.91657016149379,36.994706321119175,33.34870752082243,29.58424286416515,32.207822179866284,30.308176310432675,36.10436544023559,38.332833599271105,38.417783043816854,42.36637605099239,45.29479679700793,44.94230483293563,40.03506499754104,41.30250505463744,44.222272667495304,40.615162340663666,37.40243074201112,40.48725979316103,40.22292922241127,35.84889991648972,38.10237394305393,40.07309186899205,36.871490871230385,34.907081275645744,37.48632964104813,34.969732023217716,37.667614280266456,37.54317126717417,38.6571504752949,35.88907905416598,31.819725747174658,34.302976038327806,32.822095673559936,29.67751118834404,29.000534667160238,32.097323656822944,28.237613916460845,24.62796592483461,27.270299314214935,28.83574853874584,24.81957681650845,21.860299435620014,19.008323557793965,17.506075068764332,13.910359714754836,17.258905341308193,15.985565121771833,20.257882163183595,21.376471172671167,16.647408390152272,17.337251086284198,15.820309090868182,18.908602570064584,22.99549496378783,24.71330787155275,28.696590307569437,28.792755007582134,29.21256589985609,34.79002787209791,35.916762823659,38.942775288733706,34.43049772228402,32.4479890043247,36.04602229226341,35.069660827363386,30.45344973576131,32.51448182343527,36.09767772311559,37.75825402154026,38.69151479383133,39.19030253597379],[23.14971129143689,21.71148226695633,22.646673161356365,20.595755446131506,24.168146256080714,27.881662073901985,30.61226215601034,34.818550066989495,35.33120828438504,36.7526498431508,39.966074242950974,42.49878486566923,41.414630814892234,39.9598865337146,45.151643977533865,46.137611097923255,43.454434613051895,47.4248532586399,48.25420936071689,50.16708893647345,52.60884187044476,55.419621789644474,55.46625368251385,53.25481985786334,50.57072237723204,48.003632617084364,46.50351636726704,44.171043927461234,46.53142721658956,47.01490257345316,51.441382271777066,50.6457314650082,54.69736033561086,57.963360451641826,54.94324631678721,52.461999929170325,51.18732205695819,50.25476129885662,48.449253060566505,52.628719726971575,48.86773029046462,51.621790978720675,55.47953025244983,53.52232290914749,54.298268493712214,51.821432231342946,55.45761924851558,56.00600679997319,51.00085971700368,53.64187325304468,57.25460980972788,56.98856645947049,60.30750921420881,56.081128746013334,61.640341927812706,63.63279339107725,59.886533502134064,60.81287196803567,65.44336899660794,64.05991702849322,61.583247171173305,63.99673276672155,63.04808289674968,63.953624244979764,60.80214770735976,57.82707553283712,55.40095081531468,53.51739441264139,50.71506970301281,49.72041726163305,48.356979448493895,50.71727450119229,53.21470937413101,55.76825633596835,55.566280796087696,61.6816201839667,59.79904568264931,63.21980181340443,61.4161101138173,61.178154309985715,59.185345116391595,57.260986157330706,55.229182318485464,54.142524188993825,50.8170897204923,51.53246294853812,54.05071460854993,55.8913113243956,55.860191807802366,60.06431694282299,58.0106063299807,61.3632391707878,58.356670782639256,56.64087101477319,51.94085404686848,52.79655420033589,48.45804201972524,50.60542093761938,47.79293713817859,48.74701941483529,49.84252894422473,47.62830572142846,49.049427728203476,45.70329195693785,46.77198386329947,41.53453686347567,42.25438659386786,39.717395508248885,35.68804173093423,37.862364275028725,33.74775186512973,35.5436212613306,34.46192035869668,34.225887162626854,36.53447835622085,35.371253990834546,39.21271536438533,38.233628416277774,43.67930494356358,43.42419528653936,40.39048090311363,38.086041823592005,34.057625074756736,32.6253799924945,31.274561448303565,30.458010574949892,28.87494310901039,31.678276854921013,32.77962588381854,37.40760185789064,33.85249926918849,37.67773269575668,38.39752239653357,41.46613688955432,36.97944986356416,35.02528219654001,30.02566695573176,31.012537556067947,30.738305786528375,34.62769361040096,35.32835558424895,40.02128018332503,41.55874856150565,39.60776358228349,42.97012082096115,43.22296194831795,39.98719325715447,40.35116693564889,39.46323443492204,38.053006397640445,38.52501113959791,39.674913444030445,43.32945750846909,43.389679949822586,45.30839611113142,45.60357600715612,43.806233401289866,43.037982165076,44.13608348009781,41.6597382745782,40.21086300003095,44.13447961495336,40.581148644037384,45.07233493239385,42.654776868615826,38.519242033367995,39.23634769800907,38.795827794735814,35.29000109202802,33.7452608732437,35.00472384980558,35.63646980813309,40.46852358890092,43.06057001711831,45.58103599922344,47.20989876137995,47.49368526098687,51.8498359519854,50.38604596562905,50.20004440624901,47.23677468452774,43.54277940450935,45.53484370767659,46.70042134362438,44.52619236713641,48.631261405324196,48.98181349350906,51.36591147484576,48.12932561475485,48.59173750722303,46.96610870018435,45.32431333091791,42.82956332383976,40.25886243221011,39.71032637597531,37.95578215374591,33.86160185936296,34.80734465721291,31.278407151358902,33.0294461548097,33.28871847451748,34.42420504667987,31.485304093722362,28.48767420418601,31.250866747993136,29.830309341122774,24.0385926192567,26.24460723994753,30.56136939895256,25.701609063298957,23.350069689362723,26.09862525173765,26.927022441047416,22.39360367380673,21.84948986977055,20.191152896331104,25.147587601775825,20.98148248710516,24.498168538355696,27.740414008021027,31.066771911018556,34.33232998056277,35.95512254286785,39.14462304626229,38.45000560607072,41.84779368943024,41.412846944953465,43.828531960081264,40.78500442288347,36.24701554359476,39.854477574227936,40.80121495383118,35.914363525540935,35.64755559456268,39.15728522212741,36.107001945343214,32.05818460089623,34.5763943874743,31.786398760478292,37.194928935225235,39.37278589736316,38.76810915070966,42.46964720324344,45.01561060086756,44.432849083815576,39.69566166694814,40.517007173356646,43.00287846565767,39.3289125652919,36.10252410474654,38.62883888872811,37.944837198630196,33.63946718487566,36.093224103185584,37.51279661156498,33.83362111879407,32.3384120123577,35.193864263041796,33.18088827288088,36.39051993706123,36.63207505241213,38.319712756142316,35.18942532512502,31.008823609753353,34.316818815572255,33.061405072489094,29.608063131832626,29.49289666843107,33.27926027223408,29.387920397539474,25.570354860598403,28.97111577249461,30.982934671226843,26.92524995005645,23.78629860055009,20.10721469456241,19.78742444151089,15.406152184502748,17.33012143394328,15.073000536276234,19.199881439212994,19.14503379169352,14.765530871824438,16.73951240294322,16.61547802751003,19.999327136534262,23.520905422498803,24.50613142011386,28.85723923986779,28.183256259728594,27.76703584182809,33.42289620455038,34.289939531497254,37.005058253584586,32.29470084295758,30.04070340369868,33.14741277448795,32.13392296644452,27.198142899371977,29.18562041872926,32.374166328870565,33.96446695846573,34.899926052019005,35.348246449241294],[24.478064121191093,22.42844931250661,22.444003110130353,19.46784031848957,22.135929445396915,26.530982968099373,28.618140174365294,33.08610350049834,33.473294098881695,34.22251743888815,37.5569433930501,40.38303248717957,38.612996346686735,37.044763218585196,42.23670371527503,43.11357414065366,39.99998901288869,43.71714759164815,44.09469538539848,45.99009009289853,48.16998946630875,50.875264175702085,50.73232054197844,48.3599076764636,45.83084314558841,43.41526962704602,42.110511474177855,40.087510852836125,42.79702434052956,43.69395903066989,48.18332284960778,47.70404431990177,51.889497055977756,54.82368341196051,51.658255536609296,48.874348687417985,47.84698429910428,46.36383581054146,44.364474512788,48.49706353307561,44.41134603965789,47.19074830516657,50.99663706141446,48.84854009185956,49.38139862468412,46.79081818261144,50.38990847069407,51.1739299846829,46.23363476710422,48.82886829585674,52.60980364606464,52.535171590442445,55.876296981882334,51.776729146645465,57.477042020392076,59.190554419902476,55.37485324918868,56.581287517040245,61.12463399901182,59.44650821541277,57.07972075422243,59.66927537982034,58.93210717156776,59.56745056117609,56.31371509731322,53.56554660274518,51.12290156754366,49.5504799750287,46.70465666303472,46.0922253904612,44.60258645481726,47.00264185740718,49.56994463472058,51.79640861828064,51.8478244803945,57.899660297382816,55.887596749848804,59.5174130863278,57.625622700199166,57.22349784963642,55.485995501345776,53.41073745145827,51.79872536033694,50.52062860465862,46.98057652279209,47.86767614722789,50.142656492308475,52.369453671732344,52.05997527860353,56.5920740079496,54.49789029192931,57.900489506325854,55.11811123786671,53.67492011618564,49.048034334969834,50.132534269302184,45.84524229698888,48.09745434868719,45.51275240000966,47.00430806495479,47.45222988955329,45.60573795344501,46.4177594436687,43.41105195013888,44.16963540800715,39.152932698459836,40.248321157109785,37.535901454006385,33.752307877132935,35.965135094417626,31.842548747362333,32.935542464634,31.944903992848538,31.049721487860598,33.21252457986705,31.569697524457904,35.26439843161544,33.85909010476008,39.297314352601674,39.48934695309916,36.47409011224251,34.47591803167947,30.172711776496545,29.11395408215619,28.297236544708113,27.146620323039723,26.547708859836206,28.853141771071947,30.21617801797056,34.67678027792218,31.116391238029472,35.14324625142774,35.26324201596816,38.49250141444955,33.56491982891767,31.55603579869516,26.568783227993624,27.11937899320011,26.538142682620563,30.37163977334272,30.52998031826908,35.118468750843014,36.947950279024134,35.25191412473735,38.68577552072131,39.33647479926722,36.17388239418046,37.03098068530851,36.50697948075101,35.54852658919658,36.54170064297294,38.049753907971244,42.03142738580305,42.620728388424055,44.01368415681912,43.91482790952018,41.66883616016112,40.93418890106791,41.48211881719065,38.98885143695999,36.88473209657375,40.528380744508254,36.52288883873232,41.05403500181903,38.40453421537277,33.97945100826443,34.945077013383624,34.212573220000934,30.95481110709954,29.316310926424002,30.926265449677185,31.565952500353983,36.591427923707165,39.43123707249155,42.11351718274613,44.12358328753607,44.374495299673875,48.86275603808264,46.97366211400401,46.988227163837685,43.62809324440833,40.44582443501097,42.19801965201411,43.141900427186386,40.75052081033074,44.53129008470635,44.73310704354288,46.94296082197425,43.36499778416607,44.07282259242914,42.50125858446668,41.103481060138556,38.84406742570046,36.552830102196005,36.360489978399315,34.97006251860867,30.966860413800436,32.5109805521371,29.470982692247908,31.375211514516675,32.38608700099948,33.64020698196004,30.345800554488818,27.83477968397345,31.215522570435773,29.695023645428748,23.73020568809918,26.734826402287496,31.38730110965266,26.358944873748825,24.495208428496326,27.807719600515778,28.389039917968848,23.88826710091121,24.20726277746279,22.13192027334283,27.68346180862738,22.97629251062185,25.985854197024768,29.706043959110126,32.811532764240425,36.60998945864117,37.64798213125596,40.49981905911454,39.25936493535533,42.33273792216743,41.38790759077427,43.67810081410749,41.00467412013235,36.06392159071272,39.23686270841853,40.26244541769226,35.42819180906304,34.66608789521912,37.81009752340633,35.029931310637984,30.974622565136695,32.60136315400877,30.461853847334062,35.58448520200708,38.18536754356594,38.2005847422316,41.79563897344245,44.85210671864062,43.84123417774585,39.03278292239004,40.64656049528265,43.030499669894205,38.99936609236902,36.252707792625344,39.250023017489596,38.53859202397546,34.303551082534476,37.26744720843097,38.904321306440316,35.21095922001789,34.043009437885935,37.11527848104795,34.85708811046742,37.73370636285475,37.34313426114362,39.128033968400956,36.61226167130388,31.91520641569037,34.769155873878496,34.020449555508,30.682685391268063,29.638518701123164,33.681129432335894,30.36297725717744,25.99120504920091,28.630106569761647,31.20883265809085,27.572873214552114,24.051633080141723,20.308394089191857,20.38774328066392,16.082904898650956,19.174998178178694,16.1192798164319,19.82900654923714,19.524661533417625,14.8229809572185,16.07882431437631,15.786916699494073,18.568065044916278,22.63461211802481,22.88527674936522,27.02974761036329,26.028808902931203,26.564349887600173,32.32748060836012,33.79095727609437,36.25914243854378,31.281612929322048,29.79945584818644,33.16090346935516,31.393001793064787,27.036728637134182,29.781896365032836,33.20049502327313,34.88277851713866,35.903098525126936,36.5619318204934],[24.44329166272209,23.108306118693154,24.227624273739547,20.433337693582853,24.24183061683178,27.246684801538713,29.286251384156966,33.71279681226526,33.211808184807516,33.90378726767827,36.84610730486686,39.97948053711767,38.6569243634177,36.375581743781346,41.59534218396256,42.97717407136068,40.05717050712727,43.67318862783097,44.00078237890885,46.48776066539107,48.5788762028673,51.75053190542831,51.41574814579561,49.18625911564176,46.829775608612046,43.964697150584335,43.06149480195288,40.77921543859004,43.33603160517578,44.280496505614636,47.96164590143306,48.046048061976535,51.95192908640721,54.947878955155105,52.169106597665255,49.404160764315776,48.844593484623374,47.54909056533079,45.90668265219305,50.65253051696916,46.30877470742163,48.48891872569372,52.555957814926714,50.68696922033943,51.1303661742474,48.835012017785054,52.599050987228644,53.33804967347724,48.66998842376912,51.74346754045788,55.38075521001401,55.40236224665153,58.50710544467032,54.15456954706533,59.803027676405094,61.373266478921465,57.29837484090523,58.221854800757136,62.822416787380625,61.1320538773577,58.30049954652151,60.47957368639626,59.45586843517497,59.91824677157563,56.95611705626031,54.22904264421021,51.12778889832308,49.45552612368313,46.10094297970249,45.22658973073519,43.467715657234734,45.41923941429371,48.376139889595485,50.97341014853395,51.34860187077955,57.48012117370992,56.067869178049484,59.715195147339074,58.268438861971454,58.291603052174,56.87648604100923,55.29773196561109,53.740624021160116,52.97408062584609,49.31810651850658,49.66143783955599,51.5327733124142,53.59874934475108,52.773260418074926,57.026585390035,54.48605968836926,57.467987237425405,54.54252504979903,53.16343047665173,48.51340243141959,49.139836779751626,44.83757388478397,47.78298960470489,45.38832725772883,47.10498225942209,48.05504742118222,46.804547731397086,47.84256959234818,45.37163560417478,46.864384283993424,41.84734928717157,43.44816857462178,41.17239189634407,37.19190587816518,38.773158524773244,34.299761005981985,35.11764697536552,33.286368686792486,32.48878395713924,33.794344992056814,32.246776010353514,35.71035067279415,34.35557669589483,39.24635522861831,39.308365897139225,35.99294389934183,34.038960084832816,30.00274279169044,29.25402702768403,28.660140909348982,28.660792995282996,28.504303203996564,31.3732637045032,33.326592737765,37.97145979697726,35.1190111549306,39.40470868958848,39.51670957324228,42.253183321367715,37.29514502140949,34.65078367433115,30.224150621006764,29.857930759632215,28.56336473294315,32.27707357994703,32.02916019299268,36.72959239946404,38.15730621350909,36.66456443578524,40.29138607406066,40.56541333982635,37.43659412017955,38.19696068236065,38.00765452517862,36.542444217987565,37.91224681411401,38.64284124965418,42.955126027629404,42.779658163845816,44.03335847624717,44.469066326822976,42.25587046177713,42.18660373823065,42.5703809568817,40.93930219506594,39.056801209627615,42.27925749801212,38.563065233756284,43.291974847495034,41.27654862823753,36.906143960441696,38.576666797310615,38.08122055594147,35.120217327556254,32.897580667670965,34.562367212729356,34.52528219493788,39.55469301247267,42.195273249174946,44.51864741476853,46.42952592002484,46.033151082031154,50.902977560208015,49.29782539406781,49.65900047210887,46.614253805131376,43.443920760366076,45.8210266292077,47.030929182344146,44.37661405029856,47.741130477787316,47.38541004318431,50.05802351410693,46.338806467841515,47.607443049223804,46.4430751213318,44.92948837907392,43.16480137355971,40.99939431542798,41.044863048592944,40.011435524449965,35.75779249533607,37.38347729972178,34.29980176523719,35.57243990833412,36.84941778609856,37.451828320919525,33.96283339947847,32.00743470286307,35.15023119590191,32.9073107930104,27.285668496954525,30.49398101133261,34.4742637145293,28.861925872182205,27.31882280639754,30.4589036880176,30.22089065794755,25.56308580185747,26.389215500806543,25.076952026525017,30.561675064528504,27.19603920272548,30.10613647205111,33.57384579056681,37.296260465657966,40.720641671489425,42.37020106837776,45.11029125049004,44.00481888292184,47.127333282879654,46.01730893534974,48.734715449710365,46.19699609469143,41.05602063586282,44.300772809446954,45.782779097527445,40.97369931441114,40.02804764545029,43.31341315377317,40.933706535584584,36.7734832277316,38.102512406362315,35.632476599994696,40.305013085816874,42.979050049162204,42.65185735948167,45.968211006116945,48.82229093179784,47.47466770275632,42.859279500926235,44.301773677436266,46.21144192628727,42.04040851366302,39.4982810716406,42.031604400103234,40.87577675148669,36.82134116102485,40.07491244755343,41.164381689145564,37.00280292998208,36.45391615611242,39.77842302389838,38.00196663989434,41.243497671137156,41.07008227133371,43.317426571308104,40.61478972791895,35.84578476444916,39.22670992830799,38.69654497925551,35.19970980211372,34.46409124898356,38.91560203370015,35.61384338854741,31.177022066906886,34.14771280353708,36.9533388613349,33.29908192456374,29.747164404820182,25.661463529646426,26.20013993843581,21.639378798078734,23.930888999189072,20.445280895674937,23.84592349605286,22.430885059880588,18.287473088314798,20.374518886010303,21.024885472827833,23.755661161459596,27.437892444970785,26.83814561188333,31.0766391318952,29.173026776479713,29.32564519094581,35.0643572340047,36.501126625684,38.42653352031085,33.172221940981736,31.833316177925006,34.60436441167046,32.356126758661965,28.064534644509997,31.037754606058805,33.9017969382633,35.444037840689106,36.40529249221927,37.03688125470841],[28.29262793725338,26.97790687220625,28.005929915145174,24.172188482584648,27.710315701374814,30.918331345691207,32.778807134598516,37.26019348356736,36.650401438670684,37.07323328400475,39.981107977227055,43.27079172853762,41.72406880995691,39.274834136112545,44.46777140822145,45.879856011217996,42.753924100040365,46.16077926718901,46.112362140861855,48.68904788739,50.51236944778192,53.64228911714955,53.07261909970341,50.67393691095678,48.54682350552632,45.792938853075896,45.15120310932181,43.11726327340387,45.90080493558547,47.10941520353789,50.692194134648965,51.039365380118895,54.96142071630614,57.78142304019495,54.97997322597577,52.039947969969056,51.67912991294426,50.04580637066793,48.28469730251235,52.965937110605,48.37405939015853,50.5482352390078,54.56175089409932,52.51435549817372,52.67189624112435,50.22967134415018,53.91289535775688,54.96429094329142,50.368543126713966,53.30414106245049,57.1407518038723,57.346239983054204,60.49426673249526,56.29496432524951,62.0474846561273,63.379677446517185,59.26087355656746,60.433768099537474,64.94443746764146,62.978840517108374,60.24384724068299,62.53885409055158,61.66389091109858,61.84948190322104,58.84912191200684,56.35059457957281,53.120054608679226,51.706215417671764,48.19861098630961,47.56348622991918,45.62621107101151,47.425411065903894,50.578472218055204,53.014924338052246,53.69092152090185,59.76968002785508,58.39392711667943,62.18857277965837,60.74849728369441,60.694221663195336,59.48238795568818,57.811510119062575,56.52473657075306,55.614519613097016,51.84186878721098,52.31966993300532,54.01303319330197,56.32260288100645,55.27341919804414,59.69884177622387,57.06950578340416,59.98720709098312,57.184408529128994,55.984932292642036,51.388351178643546,52.0282985802201,47.76744371814436,50.891863257064934,48.63337296311662,50.56344098205575,51.32458157052853,50.23763978742622,51.04705946364864,48.70031502867873,50.00941014878435,45.0874576460254,46.72488344509207,44.3079335656625,40.44992099685687,42.1536458866033,37.73417223228877,38.348888394491105,36.591893593004045,35.51069705354205,36.681922164098175,34.85507096622262,38.15500759581669,36.4551954535847,41.1838257923024,41.61891578196177,38.26764071923657,36.57466800913971,32.429702060149495,32.00928883119209,31.748174529865555,31.642845735964926,31.878061709556253,34.50664550173616,36.46723179047157,40.99776556539399,37.98491004733374,42.24796740039978,42.10603473469658,45.05549433044847,39.91076354676753,37.387195695227,32.88673090996662,32.43239451366717,30.9837556828096,34.61771666601097,33.84080465894997,38.37730514406693,40.09379163175819,38.87054307779734,42.541808487502344,43.10458651530401,40.04778678167072,41.10058833929262,41.104268963318546,39.83101563174196,41.382472374349085,42.200973214514406,46.59573632560522,46.49439683922422,47.6204173550862,47.98895199172121,45.63902279118717,45.605383346747665,45.77563474762863,44.13853585283332,41.94649321167368,45.00746359085048,41.0031639991016,45.72297548999974,43.47746360667635,38.87574122300678,40.60148204563313,39.73882437430882,36.95324033840955,34.87513299058072,36.79758373053348,36.90548464184892,42.03166788782903,44.84370230397844,47.28886717553578,49.401788375648714,49.01726278545979,53.92531477658635,52.08721806836867,52.52203088619579,49.222452635520916,46.341819509061295,48.462173639059316,49.46401276745553,46.757380129458674,49.96385810990448,49.57873120584019,52.005571410891186,47.979278377079545,49.366039242873775,48.11796171296389,46.90123768697539,45.16108380393614,43.16856059088357,43.33340978987213,42.32082954906817,38.26183843187012,40.06952860646481,37.14768283514062,38.694831420504165,39.99355011809732,40.82803070254575,37.34498093918227,35.2730542122309,38.526208043080516,36.47559929372519,30.743381659202647,33.89548902210172,38.060532230296495,32.559484005130905,30.906023332511133,34.026970432516414,33.96811861596871,29.30636352988419,29.904527248606417,28.486199360564743,33.88185085992765,30.108909087638438,33.23057645681979,36.71055337519865,40.199927207331,43.65302252290929,45.15106981699887,48.06954882939196,47.000581970698036,50.14502372363041,49.14319251316183,51.64482955636769,49.00294983554647,43.9934865619654,47.19416756335059,48.38981568777944,43.55916316850474,42.71741287573824,45.85609459553192,43.18762851552461,39.13221615107841,40.52425608171811,38.39815364783401,43.23337693753772,45.948947965136846,45.83404171173152,49.24732223786582,52.20461828655546,50.92564159099653,46.24778826310193,47.78299283216061,49.81310739397109,45.64813729279622,43.079075632760585,45.712832221200024,44.6320162501968,40.53980504958589,43.71168329957106,44.88479754424762,40.78200895787348,40.09604916957324,43.338571027479865,41.47955165189173,44.675853985773,44.502864311975806,46.57746954269477,43.85075339312673,39.17401092380998,42.395322182427684,41.69128391961766,38.24477891048067,37.46335412952176,41.65538655105627,38.211035478462094,33.920572230964716,36.74276884000315,39.290238182841726,35.52360699629422,32.09306734883469,28.279831268087246,28.25022725742867,23.885084998037122,26.510787157800774,23.45444162750794,27.09759533718224,26.016056723443675,21.6822478678755,23.535313314482586,23.751876576296194,26.497421915964868,30.425763383797598,30.048774230575376,34.214990539209055,32.45112823425114,32.874099799716056,38.632579373396055,40.14911371063551,42.11993321935187,36.85463455638574,35.59244412220376,38.43218117774255,36.1244629949387,31.90082998689647,34.88809216604016,37.765958784905735,39.278664912196355,40.195256377029146,40.77835967577333],[30.96475023533337,29.280685975606417,29.676454041298644,25.3695442410696,28.107120673999304,31.703867126554428,32.987146224109814,37.57536858337536,36.83143193902369,36.62605691292811,39.555267553106695,43.08725648175761,40.95110202844291,38.36621802881653,43.473085509002274,44.8026411178561,41.29578473089119,44.363700961861085,43.78391779181848,46.38208144694776,47.85563608623866,50.87561226188363,50.04612876852122,47.46608529741361,45.59601884089484,43.01920949143266,42.682849314132305,41.02179578567034,44.13918725539483,45.771550944743936,49.30289018314551,50.01259536395424,54.00141691451777,56.46908505467366,53.57511362882056,50.353930359207126,50.286772920039894,48.10634717677791,46.18087385332481,50.77368399464516,45.85964736541493,47.99284293192451,51.91689225964255,49.674628599020494,49.50747669871569,46.95310760007007,50.548442572880326,51.908697197586775,47.45821093910465,50.30528435620804,54.30583150823873,54.7476892883976,57.88532019956453,53.873327996659036,59.72389110204542,60.72713762641565,56.55222322995104,58.026713453166515,62.402650612484116,60.10472941097136,57.49743641033467,59.94946683354913,59.30122276676725,59.149997315348294,56.07968372752538,53.87748607580784,50.58241333086293,49.540480880391144,45.94977417170618,45.730327112388515,43.62624115105502,45.370017986827435,48.64316957863492,50.73037563486918,51.739496095295834,57.70288948988784,56.25812000896291,60.25469777861552,58.76643432918029,58.56258538486355,57.65367785107265,55.860764989273946,55.02197570882799,53.93835309694887,49.99052980954801,50.6246286566152,52.01971382575693,54.703080475988365,53.33809630959034,58.050199877511,55.36423063539475,58.269115834921045,55.71320400871938,54.81241527567884,50.33597051783164,51.1545104444473,46.99329317145139,50.24161443617713,48.23896465903811,50.6395787048616,50.833259567161804,50.106669675417194,50.366156035125194,48.364644375881454,49.37935058952278,44.72908989416205,46.64322037562176,44.10428772673892,40.529370083894534,42.249928025521456,37.92123361483936,37.92872146657072,36.27260418100554,34.6118501860301,35.540115450580885,33.2564548939149,36.28283525846185,34.10945637742937,38.653525164979385,39.61343050357781,36.29702566343767,35.00437145599041,30.684037778306486,30.747211480414727,31.072645997649584,30.738622245035433,31.878528190882413,34.00555779497823,36.138074749047696,40.40587202296661,37.43913217990639,41.7539749160554,41.08494816896034,44.14651686360263,38.70630865826722,36.20779918447555,31.867213649997822,30.97809504875334,29.198705478960946,32.63267348972077,31.14286575051661,35.435485675862296,37.46706861689593,36.610551496746616,40.309034620768784,41.282759843506284,38.36920137705972,39.90760100228616,40.284628477800815,39.43406441854264,41.42373587211525,42.51132930558825,47.11684177066074,47.42988318385559,48.113011164674,48.15915334787161,45.45252440235048,45.46952536861095,45.13811144715258,43.53930480462688,40.7792505097011,43.482820377560714,39.088718590165165,43.768719738811534,41.326030955871936,36.48857570930905,38.4623973670863,37.25553209032081,34.84249848839907,32.750416046265215,35.006800343645445,35.11777198186937,40.31887164600871,43.326941082967075,45.88608490115674,48.335396405172325,47.91064444501361,52.887577655511016,50.66571074496906,51.29195716779581,47.64902146156427,45.315923000931235,47.15588762085413,47.90977715014889,45.04328901958927,47.85843180262623,47.313774544755056,49.50208274532652,45.117701182673486,46.7721092435359,45.58337334342926,44.689861117110425,43.21212390071927,41.55086728604384,42.042594246678824,41.351716874728425,37.51146809330493,39.76775292808738,37.306219342940395,38.986538448584064,40.77771263783672,41.736704810421244,38.08139927139231,36.34648963693793,39.96280845708005,37.93790106279188,32.18812771840705,35.74167962496778,40.113364854906166,34.62696175405722,33.2532833122399,36.66700855660546,36.53752404263801,31.96003580645593,32.96040787678016,31.262268264378292,36.93267475543606,32.73202048606587,35.59352423149408,39.332280190829884,42.592957099212015,46.37739582273438,47.45019130339971,50.18265866190017,48.775017438230826,51.68661662846444,50.38379128459,52.71655999590201,50.31884192566204,45.13550113917178,47.993341335195154,49.15006574212693,44.41257760146296,43.28232457621377,46.08097926491849,43.56241085195406,39.60764195793043,40.37777012267019,38.83670860982258,43.41867851938705,46.3951724922897,46.763445048283295,50.088410114757274,53.39663244014421,51.85348968963959,47.163149500770686,49.24379679828602,51.223863327002746,46.86045806026,44.63488678472434,47.58701433144526,46.52660642744432,42.50852421499029,45.95226240957916,47.295698941067556,43.244396211596026,42.713004005387475,46.04320634990117,44.00314013420429,46.946870221424966,46.36453394113213,48.4318127523933,46.115465204442806,41.18109988079158,44.032681920592225,43.60752339662946,40.28159003949299,38.92596780563837,43.15097583450808,40.06477638428268,35.54152009182963,37.807949569256955,40.59847882279049,37.118532405053,33.55512655879969,29.866923677002763,29.915920375064076,25.75803710181745,29.005802825746365,25.721067322166316,29.118295090675776,28.027999880228148,23.6205653499933,24.95340156206806,24.969066154674653,27.241561939663082,31.410209541908742,30.626208906750694,34.50301595031513,32.57658774244289,33.70918921059636,39.41665291815511,41.33583907023721,43.11791753417665,37.75366807547582,37.06228996168679,40.047886625534126,37.24553336605935,33.522600756281875,36.9507683314083,39.952577842062894,41.498668728124315,42.43893520808661,43.13334032706675],[32.263661176966714,30.91984583879107,31.752927725692338,27.079879695751174,30.201579950756212,33.03284269507938,34.15613192544497,38.64853834098204,37.355504203773386,36.98526642828478,39.60848577665323,43.33339860889375,41.39481204980266,38.36063762179461,43.37993571322348,45.008455238157,41.60318317901796,44.4879888843301,43.772214286722644,46.74463485687562,48.07305802731941,51.35914844232242,50.360220186378164,47.87592923561202,46.19279691351915,43.37482349747282,43.37117344214861,41.62979197760201,44.6625893055281,46.38539792178497,49.33043776399865,50.47891715364954,54.258270551988815,56.673330862790145,54.04271488879703,50.81155786421734,51.106220312388636,48.973436271533615,47.27459907287341,52.20352628407931,47.12507141564124,48.830291128528934,52.87230704814769,50.80902301467286,50.53498348726087,48.193325082033695,51.84921521187561,53.20756701678053,49.00465631841281,52.12618148861483,56.01609727429813,56.548489482335306,59.50694071305654,55.38591117228597,61.174448264521295,62.02466551477111,57.700299244390884,59.02427342842564,63.38395153139563,61.03882984703952,58.15816745126738,60.34125596497008,59.54595862909882,59.2125617093588,56.35452037913587,54.241960150578485,50.51361341433932,49.48991223127215,45.56983245655314,45.26294639138751,42.959053403068175,44.33869994878291,47.882794757504506,50.131625579576195,51.43151285832074,57.37205645762752,56.337111204943376,60.353683267042804,59.16734753320475,59.22218400797443,58.58653904203068,57.110392281821085,56.386020914141575,55.60956827533184,51.5943613684432,51.901071273193594,52.97158697981671,55.591420193302284,53.840859362777834,58.381101227079604,55.40724628451956,57.99861355246633,55.41894695808432,54.634559923855285,50.21369773616333,50.75296427178058,46.65440288758042,50.35275451182323,48.55054977762704,51.16463261275741,51.56256103331471,51.28249834902796,51.58231264844058,49.985170379633864,51.388649782145954,46.81449973429155,49.04828476371114,46.76248182693267,43.13469840654573,44.487102130204356,40.01770119874893,39.78263059359344,37.677874681689545,36.011311531938624,36.353094341399306,34.095777014448885,36.855153530647534,34.67240219690745,38.71080582603137,39.67411813805081,36.22193622571569,35.07669542914203,31.008106420669723,31.37317575119479,31.94323563853376,32.265619141855495,33.76283671201431,36.09793975791434,38.5511885863074,42.84924648615075,40.31553602283107,44.75182919701506,44.032589622688235,46.794395778892145,41.35211989862609,38.516059625547,34.5721243021703,33.14197149920658,30.94862362724803,34.1981335520179,32.38760237966239,36.616343382556806,38.38763008837648,37.73973042809336,41.50328773729712,42.28610674078897,39.46476373013728,40.99945283470516,41.63972390885219,40.566893328543664,42.82939932202929,43.48632364811205,48.274650767063044,48.20039311155057,48.69934661521725,49.01367877274664,46.29027736032872,46.724774075574025,46.207597919897076,45.15992865188712,42.48048997391098,44.83612287097268,40.62634317835451,45.360222942785875,43.32182666815915,38.565434842192445,40.96656011278691,39.897823224986894,37.72276061304263,35.314024343621945,37.590808866364824,37.29849060329936,42.435033901654904,45.3102613062434,47.63756671833042,50.0519433956258,49.22352749366611,54.40499684315306,52.31959281206957,53.1845696975146,49.71920271653244,47.485683524394204,49.6525340793285,50.534999940766205,47.51344650701898,49.99955487867806,49.08706244059203,51.52129494167815,47.05138396853172,49.07884908604758,48.168357844124216,47.23769811715672,46.10420853914322,44.55948311570545,45.215247430786675,44.764035542947134,40.81608610360976,43.140058027692,40.700798982387546,42.0437711137392,44.027162005212965,44.643561179265184,40.879650284879496,39.48460192034472,43.009046788280315,40.61569623982488,35.07507582635596,38.76306095174876,42.7986479316324,37.05244172365551,35.89178964157395,39.23913122524331,38.68054251660074,34.09710877055803,35.40072695287382,34.040009288404654,39.68738759584863,36.101810889193914,38.87064252835914,42.51802821123825,46.07414277551244,49.70862077399119,51.0537405967592,53.69640698175744,52.308796253236956,55.21489142748674,53.77365734809613,56.331036928900886,54.04425013351994,48.71805170177099,51.57543092520661,52.995002998304855,48.276361055497794,47.00702012061441,49.85453764487994,47.588290231886916,43.57219205684718,44.12065344843283,42.440237502412714,46.740234076733365,49.78153330746427,50.01414982777284,53.16375479402274,56.39838208556888,54.627980457193,50.059735447847764,52.11561823487447,53.81497848152348,49.36135275274514,47.31039258595047,50.0430765403813,48.74483905687923,44.863422183400075,48.48980767080977,49.55406178178677,45.28325330508089,45.11674591917235,48.58080019218126,46.778147816780866,49.87055227184415,49.34416225726887,51.66343956397326,49.30962849444437,44.30171478398326,47.382820172355444,47.11829101788419,43.72041783693511,42.45129650633866,46.91361499358445,43.88048417569445,39.27207285963755,41.663826365488084,44.6259237377478,41.16270309234823,37.54163211943561,33.660212238607926,33.98404686626584,29.67096059886582,32.620992110572466,29.084907067028144,32.30734256303548,30.710500848043413,26.589435135760983,28.22448658744734,28.65200506451795,30.878955956914997,34.871729083529345,33.63316028537153,37.50378995235519,35.1034981631309,36.10587951123953,41.735917388571394,43.682327734223435,45.12324936619164,39.643403929832616,39.12553932500859,41.77970572448808,38.66508376707277,35.129222203822536,38.698087696789074,41.3807914269335,42.83116913233364,43.73247110763279,44.421463353473875],[36.72513121060335,35.284800731803394,35.865767014714805,30.992470738466977,33.652865285418535,36.581031986607435,37.30139508190813,41.78301389885293,40.2856375586595,39.42619976064104,41.92857346872973,45.84795571542977,43.542883778112774,40.300503322651075,45.14386817105396,46.78569909996272,43.130440794059346,45.60539859153849,44.32950895281554,47.41689656175905,48.31316883281642,51.53450201418416,50.19783224227717,47.559105848256166,46.257003505165336,43.59672246560801,44.024026883827844,42.659642901972454,45.94099847445415,48.04972339726829,50.728561305336925,52.32176348242229,56.057291197601245,58.13237721658387,55.52710729395284,52.06929752594021,52.73014329261431,50.13154432282105,48.35027830797892,53.21066354556114,47.82661335915267,49.364665073994416,53.29872967942594,51.086933115356196,50.417017057361015,48.012025300384344,51.53168557440445,53.24981484362719,49.30191756436503,52.324854357165535,56.354654173384056,57.15255850443084,60.05049655746282,56.14336381817327,61.97948843094637,62.44326245450163,58.059095545817364,59.65652243029303,63.84087437356028,61.138935258852314,58.345949900100976,60.598208367538696,59.99786763215571,59.24500769294697,56.409826013714394,54.665387798855996,50.74984653163718,50.126727807082986,46.037820475600796,46.10795582342917,43.58519668322906,44.716839331132476,48.46881759103432,50.41622043343478,52.15955769677567,57.925522726982905,56.98742591960366,61.175379709388174,60.05336521208978,60.040438088559085,59.77687923842468,58.272036524279976,57.99239183121602,57.119247081548146,52.968833946902095,53.355767830146384,54.05860173848071,56.98906301105412,54.84923533206866,59.56554752879533,56.466294554899584,58.90582964962419,56.565841980193326,56.0968240269113,51.840745022011774,52.41857001063272,48.46864245463958,52.390993689493264,50.871017369112664,53.87396433411251,53.90203281277641,54.0038885063526,53.89133935935314,52.65040934272361,53.87342564932865,49.55278653237986,51.994277274390704,49.648465758323034,46.2496489500108,47.58487894563684,43.207512814957035,42.52563738449401,40.451795851120615,38.37412560487053,38.383271491264765,35.787523443696024,38.16832877453199,35.56646351932913,39.160820079361386,40.640863093766654,37.234013837677836,36.536604416915274,32.48881757429059,33.35778242001371,34.44196711685511,34.71910043329411,36.88752996460244,38.85905737812048,41.42533265635018,45.48089523043713,43.01606197045814,47.43636521816373,46.31309546985377,49.14198416509433,43.52074768948709,40.73284616433102,36.99788198206262,35.21970946557332,32.74136968748189,35.70001747926373,33.157828732168035,37.00308622649601,39.01961685230872,38.813082070148795,42.55456370352477,43.674021896471764,41.049223156208335,42.98126176296328,43.97309999455391,43.1917995444773,45.79626926593315,46.542856491661894,51.46795923471532,51.572327690234026,51.733290718320454,51.89377711665957,48.93640751444806,49.498531943672404,48.568976468235505,47.671246930514556,44.58175083958618,46.53792820566609,42.06823086443141,46.705885414452915,44.56177391790602,39.658532007502714,42.28889257160065,40.88021787668295,39.118554106830906,36.75755340538798,39.30500500259791,39.00159528460081,44.11604421758286,47.11466709056066,49.48424765922639,52.15585272740345,51.22775119544338,56.46247048240785,54.08773795122257,55.14720391351575,51.43314772574278,49.70428945866542,51.63395225265315,52.2890071053295,49.1511660773481,51.21644036772909,50.11287615798189,52.301289794196705,47.48205318534218,49.80759410674147,48.97361910617458,48.39624490441876,47.527998955831556,46.309938024357805,47.23458098336025,47.02727199658775,43.320941644119124,45.94417055386996,43.84213795276265,45.29861844840301,47.551567598959025,48.26781031918161,44.43194253902967,43.21475617884991,46.9191913149692,44.57379719803158,39.04777089426631,42.88905021564353,47.02842425702269,41.317261660322536,40.26758088566311,43.716673716794595,43.13972131501608,38.601781731198756,40.020599752858374,38.54903708002036,44.26633900561865,40.427975501509565,43.1499375050746,46.895016974256144,50.28855042655348,54.05746175250486,55.183114101003554,57.795299278434975,56.26269128003235,59.05311801793139,57.489700418065276,59.89360960575554,57.71252697659436,52.35694514351656,55.00767268227516,56.31681472214128,51.66547460582786,50.28253370671907,52.879501332068386,50.62020066220852,46.726681240659765,46.94408485535869,45.70278115673401,49.85976926930567,53.04371246448022,53.59088492835164,56.6911778077958,60.12398644364086,58.21486666025843,53.6578097108978,56.013867503625875,57.6858835088888,53.138987278911394,51.284779043874956,54.16883889820837,52.877448148349906,49.050495979261434,52.790197899710655,53.923771704905754,49.67630438965322,49.58086277435331,53.06670112285491,51.18481034544029,54.15794737937556,53.446349923214235,55.72310327924057,53.55440772668441,48.465422953931345,51.330321077408016,51.15107783063838,47.830071660657424,46.29380697206091,50.67682105907508,47.77497771920676,43.129320486787485,45.20566830213036,48.1792961042015,44.82850181465024,41.21282206824735,37.499083133075295,37.66678645579848,33.536896870479595,36.804925219315386,33.32749770454002,36.50364964555779,34.975364240417,30.817948207756434,32.18464597317265,32.4166578328419,34.41278376271795,38.53540564052145,37.14927683633703,40.803070332005134,38.33655768563349,39.75468046751764,45.301984295599034,47.46946057475596,48.76810526427567,43.26271295212681,43.07755448598988,45.7594953597518,42.358912862743836,39.14711905531018,42.914675251152204,45.60156626522066,47.03778663281674,47.921049376627494,48.62845301762913],[33.37310391557921,32.11061621774433,32.93961239371313,27.804278865060606,30.779720638198505,33.00057430127405,33.65179014499628,38.01373313233555,36.18861679244344,35.37372094256354,37.69479219381837,41.64371740257509,39.635994641211525,36.198050283497544,41.033134146907,42.8644131715657,39.4472358745489,42.015300866384585,41.031982004197005,44.31738972786198,45.423033088831346,48.90933213953927,47.7244209349102,45.335150034442265,43.87051283157077,40.87823311351826,41.25014477082779,39.54597529927674,42.5609453540528,44.49091762682385,46.86550526195074,48.52511889967697,52.11365479148067,54.3284554481756,51.91707430362685,48.61007439422658,49.33338634948019,47.0947702603726,45.59060512294927,50.78944611626539,45.52649210409524,46.77832037383028,50.88573457172551,48.992466746045544,48.583827250175474,46.484628340396846,50.1759505503723,51.52433637957807,47.6327588494506,51.03016981710948,54.77537370257897,55.42826954788236,58.16717477799293,53.987709273570104,59.689704792109055,60.32229382339683,55.863383309708276,57.078930615211,61.373252907955745,58.94602569248135,55.83326239968319,57.778070545079885,56.90079012070814,56.34017482717153,53.67650424472657,51.71534577681153,47.61256395607375,46.70424939116584,42.51343104070503,42.26235051744452,39.762906367112535,40.82170075306729,44.588757577446984,46.84908997879637,48.47402336383841,54.32384337178825,53.622515046037236,57.688617941162946,56.762083547145025,57.01384738031555,56.722188047881026,55.53244691476353,55.055462875513015,54.54520631504607,50.447751818807504,50.46329078011014,51.12308445820107,53.769328947795515,51.57897837147105,56.01967533711542,52.79603382081694,55.102490812355846,52.60492936174386,52.03435839059046,47.74427743485646,48.1251758442775,44.159900782070956,48.24920522338488,46.7524912432015,49.747199345875806,50.056381287760516,50.349540324378616,50.44600515550251,49.4013841644039,51.06394637054224,46.72826249590506,49.388863961374035,47.3534734936238,43.83377882424543,44.78426124116636,40.27870818521432,39.536003478963615,37.07168408217443,35.19201938992647,34.86905399419293,32.517216419285184,34.87736577988927,32.590802062874616,36.04332855028472,37.13872004195437,33.62872077273441,32.774020008132325,28.962829236723746,29.781091609380546,30.807393572704466,31.65765023935549,33.85246625604901,36.13124844706549,38.94372780917222,43.103405291693235,41.109265055561515,45.64553158039269,44.699833243826596,47.112598674411004,41.646457326679034,38.48684547848164,35.11192741211476,32.978017306105734,30.302419793409822,33.22448156388449,30.963224824305037,35.00749609638627,36.531029051391165,36.18140487086443,39.958841468313885,40.65133981984077,38.00636508238082,39.67934093249893,40.706663295575304,39.61566087814976,42.29959060015749,42.679025963554885,47.67629544558004,47.483365589691715,47.575329281539894,47.95542778243312,45.0789447326049,45.916046167108654,45.011480992328536,44.525007607835754,41.75008054672735,43.60386549243146,39.52536531936808,44.24052875279705,42.61502889072418,37.975900119491314,40.87785558626542,39.9503553069894,38.15256707396615,35.394909204614024,37.719464306550364,36.973727937085684,41.97667294381719,44.72433284745037,46.814138713420434,49.278293811134695,48.04179794991367,53.40020723713808,51.34079207133251,52.5067019607139,49.16044399466118,47.22828370326327,49.643930925892434,50.59996953523673,47.39019854383436,49.39086629759116,48.04982256646108,50.69451829278145,46.13771109036815,48.60209246747102,48.04985168504812,47.11491758672394,46.4603381899749,45.14146578715509,46.07281911168368,46.02448830650061,42.05034431220818,44.58257026036642,42.38432518122286,43.35987558906632,45.77604581169238,46.047759979190786,42.127093572425935,41.306970780483574,44.87513767740395,42.11897821099628,36.88673981142237,40.89573826271071,44.63323965631774,38.7071682487891,37.964725848458876,41.391036795784984,40.356415530153306,35.90366424812763,37.77458821691297,36.58981353687426,42.342896240303084,39.2241650089724,41.64559228835774,45.328326737736326,49.076243747192024,52.74387642656956,54.13571317790985,56.488430363071494,54.9030634576827,57.63593649315857,55.84591201255242,58.591964585080454,56.61506569822468,51.02957700779126,53.682197619805926,55.446244965271895,50.83884980183435,49.23632832337705,51.981627718355064,50.18492259080313,46.148040798025846,46.10755109029062,44.49360691940061,48.27145416208435,51.47931959122748,51.77567445930571,54.642314323709776,57.95242929812764,55.79322262262285,51.397440888688635,53.704148907170755,55.04994702760492,50.42964094349989,48.78128059092204,51.44438234081981,49.92710896745827,46.273200135473715,50.22721246981165,51.106107185229845,46.69640599047661,47.00599985231675,50.64263526141595,48.98617865757398,52.04540474961511,51.32043087466187,53.9190680628641,51.81088607306425,46.58408655220212,49.68686644016306,49.81218551424834,46.427652074221065,44.926204892888265,49.69794280249951,47.0072165117107,42.15931589602425,44.38547274636156,47.73643568440352,44.52526039762621,40.74781776574816,36.693401093257286,37.52955247538012,33.15572679127007,36.040101738256624,32.05684757638133,34.846316690024125,32.723227965241875,28.97170809417515,30.605545215765634,31.41993574687395,33.30198985662465,37.11167200810139,35.165591437905064,38.82263473381845,35.87729778129563,37.05800020039798,42.4842490747759,44.64255539079057,45.618836648785326,40.05865299915884,40.028770263809506,42.40972865338577,38.776292935507996,35.76873024327527,39.66534992306435,42.1017260398577,43.48055798172578,44.37332461878437,45.139135188899154],[30.062240970495985,28.47729119457061,28.957231333227316,24.011899970780497,26.78573048347384,29.634368469565263,30.491204474431424,34.99714022279268,33.68806329147902,33.12425729135379,35.79778635960977,39.55458780972055,37.42908186457093,34.439108722955254,39.45592518299517,41.0112027867978,37.53958578456113,40.428933494547394,39.75151569952264,42.6727637549338,44.06922134492912,47.358305488395644,46.44230202693118,44.013502125745646,42.23122237853406,39.37489102720374,39.29792712796603,37.52109726004206,40.55797223986246,42.30409090737064,45.319049330588314,46.45121525546831,50.26804962923159,52.639159054522395,49.96495429612178,46.715973944042716,47.00859448593772,44.85795975644128,43.17536577067009,48.15230558106219,43.09877608538832,44.777107460051376,48.845264503470986,46.847261266786305,46.67556128721486,44.41816315344755,48.13533584967944,49.348765040691056,45.144234922636976,48.38755737252309,52.17899770048649,52.66484985423217,55.57516099556338,51.386972175036,57.148444448816235,58.04272501919052,53.70990516857491,54.95924133433555,59.34506351169718,57.07800770927574,54.153933421630846,56.31869055876541,55.50329349694184,55.25250510860122,52.377258071149804,50.196791991687505,46.53761692098654,45.4701094693017,41.627751994863594,41.33792203267848,39.09340012317908,40.61285304219087,44.053154018584415,46.262857410118166,47.46617930340079,53.42190861853469,52.29790770720063,56.30629403771261,55.078889731013604,55.12309607981136,54.47123735416454,53.01581850473802,52.30140583610417,51.56726152141712,47.54655401365903,47.80455059375176,48.860250451723495,51.47788044657357,49.73979947875895,54.30295479555466,51.37067307659071,54.03248385723164,51.47405375030321,50.69646513430898,46.28213908910446,46.929431211723376,42.8374861284301,46.455371393828415,44.68807409012042,47.417024031208605,47.62370327518061,47.43478041478328,47.59491596243836,46.117496500984885,47.52423396761214,43.04181934576413,45.43743928629057,43.22574923863301,39.67303338524335,40.89384647385991,36.43952381763326,35.96654137125245,33.82996660037407,32.030594024496494,32.29979019755961,29.990790482067382,32.74296507733916,30.576864003088897,34.69427632356297,35.61827823560659,32.1878658326518,31.03607404936482,26.918601657014964,27.31550827661858,28.000493775268232,28.316724998306956,30.113401461294057,32.33955287621011,34.92530678108616,39.15468489167004,36.841658427035185,41.33392712237053,40.520567631771286,43.12260369054428,37.6734164241269,34.70404902400869,30.97385598601055,29.27786475673458,26.956492327393693,30.160099589066355,28.38629851431706,32.677996235606045,34.342227786196204,33.65490941050291,37.423026597471775,38.171711094947455,35.35948026643886,36.9346457632448,37.65285356341846,36.66899803010649,39.072623376881424,39.812358087068624,44.66768535100311,44.79508538679069,45.110217430894,45.27583520896725,42.44017464223439,42.8887061763674,42.23384872973926,41.24154697579646,38.48643810914679,40.7561478297915,36.57388329477246,41.317606149662666,39.4068888434857,34.722585785558934,37.26942625360929,36.37436840379837,34.2641601784549,31.660744869252735,33.8984621335886,33.42475639838799,38.52553671381043,41.3536630415892,43.625154556635614,46.059387441126496,45.1735615071098,50.38045546651579,48.28201159460598,49.2075291547204,45.78178897963808,43.61424159060215,45.87718487171016,46.82003487358821,43.73713140509694,46.12467303365539,45.1186945929464,47.68208399736903,43.29596426333113,45.392401033140864,44.62119427406284,43.57336026339906,42.59960164792224,41.09159014651675,41.84462823794431,41.59155359409814,37.5900797288128,40.0239086988152,37.737115462801086,38.883728409334196,41.16752558284655,41.63037483105186,37.761652102042824,36.722989903187205,40.35559553400965,37.80655076196477,32.41308095684485,36.3843659636069,40.34494693490766,34.55388179828689,33.69517183520108,37.21083133967336,36.44576756661894,31.977630716970165,33.724954301548394,32.29499237867566,38.13043822887788,34.662905310277864,37.06696209498494,40.83371727358487,44.43549677430829,48.22421828844303,49.44601639551166,51.80287822533801,50.180014377776466,52.910719563291885,51.18278390709869,53.83546058271222,51.807029547633675,46.26762299373703,48.94080882052836,50.60999747639705,45.98495580299413,44.440401335390916,47.208988128602584,45.324871885717236,41.28201297723932,41.37517873132019,39.73742668344841,43.69104887835411,46.85203341477425,47.18426748017503,50.168494556811815,53.51561341660497,51.5108099227481,47.014718172921626,49.32583227321114,50.86493839742836,46.29211073371381,44.507541751069795,47.33397969005733,45.981160614779945,42.21045459776443,46.06880047810534,47.155564557212344,42.88951723322988,42.95425072971799,46.525264821306585,44.69628004320762,47.65352879244703,46.87110756334604,49.337348161344906,47.27352644510812,42.05037864017197,45.02950526087146,45.10169426470055,41.75165503790021,40.17576925167268,44.87560624284902,42.20369875020522,37.34869556849152,39.52164202938584,42.85684250305455,39.680562764537264,35.889574622643764,31.868901607370944,32.7294869169825,28.39560550773675,31.414448704000414,27.429450140622258,30.247767134448882,28.366413214174607,24.439907676866856,25.909737881448862,26.586106695652855,28.472531897400874,32.3559977020059,30.628814868938967,34.34443390092949,31.68087751323419,32.90765035064508,38.446032048504236,40.58066731341305,41.832123916979796,36.31470357966576,36.13145319239277,38.790405891684735,35.39416699687957,32.18175545238313,36.017038186614975,38.7408584508753,40.218494913876555,41.16866023549286,41.967199699229525],[35.09971606627921,33.21447466755556,33.10394284612037,28.11874276124308,29.974879991590925,33.377726460091154,33.72851103090185,38.25161878980333,36.978953479507496,35.79871037667026,38.48076735338285,42.3899214622395,39.607117796648836,36.60210118123326,41.41219244489242,42.791814408452694,38.886941879229916,41.29229509559709,39.88111890055593,42.73026909503163,43.59951660956423,46.63074199577323,45.338688276316574,42.611180015530074,41.24603394544248,38.76423831403699,39.10254522350218,37.931717696577756,41.397303553243894,43.65504506739041,46.66032090782118,48.15713122174069,52.04352292003133,53.95571596292434,51.14713599913657,47.573384790356414,48.16899406151675,45.30453604355881,43.35536101925719,48.03344150160242,42.622418024125786,44.33143556390392,48.18129548155181,45.84893663004787,45.175629501451496,42.68506939857197,46.190392928509915,47.92139289342076,43.918329127194795,46.86865819744554,50.9362203853251,51.74865031182336,54.68674370280664,50.86125899747513,56.73731194443248,57.18148633064554,52.84300902190949,54.58134589232721,58.73590500101144,55.9861017033321,53.35366414209225,55.79735166223176,55.351670171121576,54.62705998835805,51.634563150224515,49.912870569689844,46.26270945580407,45.75854693874757,41.88384924207239,42.20217752136355,39.77352233404944,41.19150854366818,44.7464334424637,46.41706289569226,48.06200631954531,53.79032781876564,52.531531488684834,56.77974580821995,55.44584222546245,55.22594669206634,54.93522330039067,53.239187020407286,53.09960127642258,52.04005536645326,47.85684133155491,48.43178225729869,49.15540403306629,52.267103797056926,50.20867896666379,55.14298798913622,52.214237855593495,54.8695509417338,52.668359884328055,52.26739377130922,48.05467843205791,48.94008142681006,45.02515777977998,48.67295111514403,47.18991015277982,50.34544641684107,49.886063442950665,49.98073981643287,49.51270762172221,48.31694903260117,49.22502111504174,45.08371421347136,47.59675246528955,45.16191886957081,41.99193033468678,43.38801230163255,39.171233759568345,38.172104455037676,36.357547365945805,33.94919552131756,34.07849758868143,31.24069694234219,33.59123893356898,30.790692005929056,34.59957085106965,36.29385644744206,33.01454043484601,32.43599447968103,28.180831883877918,29.152744750620993,30.465130818441953,30.30878776282717,32.90546814815144,34.44851901318894,37.009918737032365,40.84293264945731,38.40057613921532,42.79066674860924,41.402559618782824,44.262876503339086,38.55645547033946,35.855282517531066,32.23037006980965,30.308385868888983,27.79237253557606,30.66062297861368,27.94961185857766,31.730071010182904,33.94304993230212,33.78454474477276,37.489800440615845,38.86355939155107,36.285352792350416,38.459051459785016,39.53885468482168,39.126969529752714,41.86496958664894,42.99162580043944,47.92155991548661,48.53887540037612,48.47650091508647,48.255139559521254,45.09405957847465,45.474472903532316,44.32720407501504,43.22404526421572,39.81454499209081,41.698045530466935,37.011279644164865,41.585161934406884,39.273162982966625,34.305098605358985,36.960800155475894,35.48337824410789,33.85689027260425,31.490544609500628,34.13074934124792,33.86872494523063,38.97739509614339,42.068320560488566,44.53969387947344,47.37329917127568,46.58663175494019,51.73981514994605,49.138636133035135,50.20641142852397,46.312088561340325,44.834456508059155,46.55735764433143,47.09375610874828,43.92462183045312,45.88285443078356,44.812176133693114,46.880506195146104,42.01922125353239,44.34378411072047,43.52625326504393,43.01232446214693,42.2409358995643,41.152473996977285,42.21778758717718,42.204602387063716,38.624720703885934,41.46725167968689,39.68264133406292,41.16911028541096,43.74359819779232,44.53175107762813,40.63467007026105,39.68473333100295,43.61181768614929,41.34240711806293,35.89336380976322,39.99209835341395,44.25985278251749,38.690008376955085,37.88075236748393,41.55655347145115,40.9992234518198,36.61881487162456,38.3538120497277,36.60493393185189,42.525217800769404,38.400424271159096,40.766002791551664,44.70555826307012,47.91127171078382,51.96667096316238,52.719252707445065,55.05844678677493,53.216098477543184,55.76918256294698,53.93328440212931,56.24038032187927,54.32431652204698,48.8258249442503,51.18321184979872,52.56179883413328,48.0433272018363,46.3977946637589,48.761965003389136,46.78572604690832,42.96302735847121,42.660007339147505,41.75152258720255,45.61872525928319,48.94679736615275,49.81222195400104,52.80530282561457,56.47492549058332,54.3931762478844,49.861108131885324,52.619774902031494,54.26524671601778,49.62094112958896,48.03622158438079,51.19162281881549,49.98431673141727,46.23357128391835,50.140897009677275,51.47575305038108,47.378646105034775,47.3460632212156,50.866031466818065,48.80249407304239,51.49662859977418,50.41554384248833,52.680878050321525,50.918263274096475,45.6330371860151,48.16394497495364,48.28505748539531,45.09806228436699,43.09067221593516,47.542000270527666,45.056939601174946,40.205886345214694,41.83718111346819,45.10778722396898,42.11023335899461,38.36709582812171,34.70542240616029,35.21940656423631,31.25415856157839,34.853663830324265,31.09648662454637,33.91329394924682,32.40862204985839,28.317552637565743,29.23041222557691,29.40563174079238,30.94762044552739,35.08275911084606,33.381345779772325,36.74967264378514,34.26075039461015,36.174634242495955,41.60107244435037,44.03341367262968,45.260474979000215,39.799458285611074,40.00632962058126,42.875325871633365,39.25993646493368,36.427695877948736,40.445232436007,43.331567719194524,44.83007086075715,45.76185447864558,46.59036044151755],[35.713520893951674,34.02526932806933,34.1065379280934,28.77064858001823,30.72266380987114,33.365162638494965,33.37781774945909,37.732791884571995,35.92338339954794,34.42705115053764,36.77497970069924,40.866769257508366,38.162290427319455,34.74417020950838,39.37712918566054,41.00404759189416,37.18035433839461,39.322096591983104,37.739365461951216,40.94772754972319,41.65705074734982,44.95281833559247,43.51319072682458,40.93578081107346,39.75069001100226,37.01395368259512,37.7037380944162,36.4724347417311,39.835513553372365,42.215714797627086,44.60330782309837,46.57381856048356,50.235494887239646,52.02225223866927,49.47859455139413,45.89024055140665,46.88502145943154,44.047661806649444,42.3601727429527,47.37115319758699,41.836957124168705,43.04475315346695,46.9998593713477,44.91093811451675,44.17191358654719,41.98627035628571,45.55879856702114,47.19554121248317,43.50205772837323,46.78849889247948,50.647753378721205,51.53058163534107,54.227465421618035,50.284524966353445,56.03650437195151,56.32918957291471,51.853408431456124,53.38919406401558,57.510022753978774,54.755574988939884,51.82333431962624,53.96125286489684,53.36360011093049,52.46889922085012,49.70802864200146,48.07616687132077,44.01006777172816,43.540432486367564,39.36916097254711,39.64916972818372,37.03264857899852,38.11049543928949,41.89677970785829,43.66874549914819,45.59994551141503,51.266727812332896,50.399479593904104,54.65811966691236,53.62569738113552,53.66615533878248,53.67703978933624,52.33151026041978,52.34192160861176,51.625822377528635,47.39670964813501,47.603894727010015,47.952562015951344,50.99541550737569,48.52823390408092,53.28230243525192,50.08519637832036,52.428962675029815,50.252948900510034,50.01159998966514,45.907394990169514,46.57295609271791,42.77590204891077,46.82483683078507,45.60731025372291,49.05173566680338,48.65180526713249,49.27156261006565,48.73595748722272,48.04459230526093,49.31941834409529,45.35677989711938,48.249217963982275,46.119076523729255,42.978262360567186,43.93879257809838,39.65404130377336,38.2852500071178,36.049002171850944,33.570696745199456,33.03101345041404,30.207962124292095,32.18395801533701,29.384931726168897,32.576154331277976,34.29499658483363,30.932071863529917,30.58279059732897,26.653180501608126,28.011429365896017,29.672185726272293,30.162176661467697,33.25396930736075,34.888546465685906,37.7888983095269,41.55244887900751,39.67805113461221,44.15967468198364,42.68980740111722,45.1378402318458,39.49584728912982,36.43261080826619,33.380481648176755,30.819467314171426,27.863208450759213,30.422280971170125,27.400738297323144,31.041714436110738,32.880581564075804,32.96251698948918,36.68118140269965,37.839715326528506,35.41715683220734,37.61260003947439,39.01679495413931,38.465431501168,41.539636832308446,42.290944145790746,47.388317500695024,47.760251377835765,47.385477275410764,47.32434565336358,44.09457775822358,44.899391654194304,43.46899154729705,42.96868734869642,39.61674089221092,41.04606716848289,36.61333569899475,41.18091123580978,39.38747065764561,34.62337937708983,37.76312616442128,36.55030820159573,35.227263672512386,32.481993597974366,35.06994092902621,34.30334055524324,39.240777929318725,42.13346315025329,44.30957707522609,47.102644709735785,45.877570101479286,51.20918959390363,48.74443314805886,50.089722948744104,46.42425845108259,45.117339519074065,47.194673082111734,47.88479328315556,44.5572165325362,46.09287884722695,44.590490902120116,46.963476601928875,42.1069292843978,44.84392037550369,44.40634052266002,43.79289803013611,43.47029793505634,42.52888807982493,43.7919826728233,44.11077017321921,40.437317419105206,43.36008091006173,41.68443749124694,42.74406483527812,45.620877644125606,46.01099451450671,42.00010219279393,41.54511222618082,45.40778893476658,42.7517243907399,37.62053831738827,41.929399355100344,45.83103425669147,40.064456820961695,39.59459888836632,43.26311979605347,42.23995728025785,37.95934460046323,40.14430857668024,38.66149244346227,44.60810585960956,41.07926330418723,43.189849245913216,47.08670987420756,50.5610285507196,54.546414135356386,55.483071831548905,57.59379513089176,55.658320868904376,58.10967008230624,56.00921779475699,58.563057600354334,56.88741477581557,51.17571799433813,53.4303527548374,55.173724648315805,50.73921910076667,48.84259664183349,51.204764981878114,49.66356871805566,45.786711654607565,45.07356417942871,44.05113731116762,47.455072178132475,50.877871384695055,51.66097227411852,54.386660426675064,58.02754581018221,55.6197451823207,51.27115233849445,54.125457417380616,55.417439585226056,50.65758057739232,49.3878034173859,52.37312209222063,50.93048542211204,47.39251285978604,51.55630413639425,52.646012759907975,48.387009638848355,48.79648183211893,52.46784329144966,50.610671488863524,53.352796613280816,52.1966403323378,54.75281250022825,53.109273564365274,47.678880976228335,50.35077934152417,50.779583483920945,47.56417718536205,45.50211182063809,50.26007702208523,47.99998525201273,42.97867056097859,44.622393293487214,48.208249921744994,45.361597134689646,41.50256022791209,37.62215612341866,38.60806971877612,34.50438274079916,37.853530290127964,33.718683119143606,36.19472067254806,34.15382721069729,30.442934374321215,31.52762859189257,32.1569331599747,33.51191456725574,37.39498293383424,35.086588185783505,38.326150697839886,35.307155928672515,37.194623690555375,42.4258559879467,44.96137848703143,45.756383211315764,40.2340811603058,40.78575200910614,43.324948513553046,39.30631919217368,36.88019737665516,41.11155191299697,43.69995882062925,45.110772520030714,46.02042155812915,46.89299633532829],[31.066134228767268,29.248729663781102,29.18337297368693,23.786166043463574,25.707182606383302,28.30787026979166,28.36811950954687,32.76433325878714,31.102618679912275,29.7971395614428,32.316299300032306,36.304332124534966,33.692756671512036,30.469731362715407,35.284493906470516,36.833265062504346,33.116659895861744,35.62553845499911,34.53797538529147,37.60624645510378,38.74610289481525,42.09757256407142,41.01316354638778,38.59652095721668,36.99021719080712,34.08663447552334,34.33584016560601,32.75498268378796,35.94986203815927,38.05164496374062,40.760588518322564,42.348876552193076,46.10764939513156,48.14075361146253,45.513349919608586,42.073577051333245,42.758958746255274,40.261810176154356,38.63179359895251,43.746958556376,38.46256269246721,39.8173666329431,43.89471922972666,41.9615379772351,41.63670235438766,39.54990961046139,43.290100216380054,44.52095318293107,40.58953082616041,44.04643087792988,47.73273065732282,48.357973691002314,51.08583918882232,46.91086081758355,52.6286931940763,53.273710332197076,48.837789532218316,50.1061419788785,54.404274720201464,51.99718160607046,48.96755460436846,51.05854888198571,50.293921919895865,49.81667141401549,47.00118859343373,45.000301893948354,41.15512240529504,40.31269653719339,36.344969722076826,36.330312532624596,33.94181082678816,35.381034081839935,38.907213899061176,40.895771793661844,42.369297853487126,48.219660767172726,47.17002642974223,51.2966227009674,50.15649791961644,50.22777111565811,49.90893249560265,48.57906477676448,48.236092990438884,47.61094414194706,43.47135449217339,43.59318672472402,44.244151836999066,47.05372776189506,44.92117625036014,49.58336834123767,46.52546909648406,49.07805624861796,46.717456502443106,46.218657234344384,41.96307653460449,42.70816844154073,38.771280718486224,42.573983983919135,41.14677333858253,44.392056047211284,44.107747986583874,44.48941872255545,44.15136052979954,43.263372810701014,44.667410865291934,40.569496070467565,43.434823040612955,41.39763362562821,38.14908285341646,39.02534859789787,34.681425111846835,33.438393156632635,31.15233560916671,28.8460047316593,28.510484640817634,25.87385375969643,28.187034753394446,25.716845234638708,29.42182768784796,30.68531580724697,27.273260313328397,26.534026299950074,22.4697224375163,23.46792178206803,24.858460495521356,25.36722991658392,28.256217944984808,30.057775797516875,32.99322983808852,36.886429552657134,35.131663647888146,39.67041578759346,38.42592071071888,40.70777728335533,35.18032350115294,31.963534635179283,28.922591676459877,26.38142394281734,23.505553168179805,26.284565131589247,23.874705171816068,27.938056476362895,29.50186540518612,29.171426809382346,32.94336068131874,33.81649462851118,31.21723460209669,33.152798631486355,34.35269242081833,33.66172185690914,36.607218044416165,37.38267393509468,42.442228115156624,42.86655919176653,42.59958331363738,42.51836235357173,39.360109206288946,40.065195661150405,38.83400600252019,38.240033734149556,35.116187329861035,36.8092156957704,32.56731489553037,37.25021092060493,35.62071627365897,31.00674998843992,34.0877147931437,33.280229632276104,31.675368461573097,28.72607375429543,31.079290931042678,30.16928384168972,35.1226669929611,37.89938723243311,40.01739510114162,42.642335595979375,41.45954249954519,46.78808926305123,44.519828544951324,45.75707459825211,42.293796157340594,40.63927252714257,42.97231731278925,43.883640983720035,40.593457859411814,42.40183062013766,40.98784328231219,43.66017342567764,39.142463333670186,41.68344805301669,41.27957789435111,40.29166365625283,39.87371740140361,38.703514420012155,39.836130327980285,40.12381713063261,36.23282392431367,39.01987950183888,37.22750233270075,38.05025556131549,40.96668823386496,41.17151289659264,37.13694352102589,36.844104435681366,40.653930453613796,37.85957718651777,32.86288781513635,37.267218277119056,41.02367307256234,35.237278933729165,34.93775321427262,38.64316192755834,37.48764575387324,33.30788975556805,35.739585910051346,34.284243318192964,40.26747313434324,37.01618645172595,38.860485536286006,42.753016903902086,46.33933476340131,50.32725219860503,51.3129332224586,53.22534212849785,51.22261400775641,53.61475001007518,51.396006324102565,54.116651020499624,52.560317318845335,46.73323921329983,48.98710017584993,50.98601617383761,46.587991581174414,44.57237577406545,47.04542564929501,45.78630410153572,41.82152409816504,41.000293371373125,39.70321500418889,42.93313355852463,46.340764733841205,46.97883179076094,49.61199415776049,53.19272596513152,50.71583345491402,46.41685224907572,49.251630133301774,50.44656849441143,45.67023511500042,44.46825343303981,47.420732321135034,45.942351826064794,42.459336528335704,46.705799899929595,47.77073932933875,43.52345078725067,44.05029829672893,47.76548242112549,45.94466322551122,48.64761893613112,47.42672232743117,50.10779502500131,48.56274153227189,43.053323756960204,45.776400317850936,46.39655862851836,43.18555676756757,41.08041500771784,46.04288809247513,43.9755918802347,38.83085952545172,40.50923314933908,44.3420159988283,41.651623532011,37.694276927825875,33.638812964760156,35.11871677053684,30.9397956152906,34.089162276947974,29.643100063476624,31.792020497821074,29.505755263353667,26.037086364069143,27.131154114186106,28.08041636529734,29.290299181252966,32.960064395918224,30.364783987255002,33.611202055882565,30.42550864340051,32.215796599328996,37.420017281793825,39.95070802067643,40.70397182315953,35.17353457729947,35.765773316182006,38.294650077646835,34.256776351302044,31.8818065985701,36.17768761014467,38.80169422990209,40.24905424751777,41.21115171415265,42.16231122811608],[32.30858131901132,30.075754734515392,29.368019591411585,24.284203094035373,25.40640332530306,29.047892187434062,29.051661753144163,33.5629010583088,32.477687647368654,31.08231097276797,33.91868641850898,37.7662529468469,34.66346025067502,31.91212178413827,36.711605944832414,37.86850319741674,33.841529610443416,36.31303483985104,35.009626525333225,37.641025941136995,38.673552916767854,41.61819527745978,40.51855314770095,37.836049696721396,36.23094124960668,33.7745222875432,33.87321809300399,32.68598007195285,36.19857489096001,38.457653226973164,41.773042237957654,43.07936024602754,47.082333815637554,48.95848612409719,45.99962277808834,42.41120189899946,42.86771966687994,39.96160920127185,37.946849123401435,42.58533415691953,37.2530787760563,39.093447146618736,42.95527523111102,40.647735389898756,40.172364871046966,37.714644660900426,41.31414830390165,42.82874807346785,38.70633496300043,41.75607670988302,45.72926234776904,46.435181835643554,49.379533789296204,45.475909068425075,51.34581331215145,51.92380689100049,47.61868034424087,49.295390305482904,53.509619731198924,50.89945043359176,48.28922068288507,50.80315981627282,50.371543221386005,49.845991265257936,46.74816877480311,44.879359517676505,41.48844189060894,40.904692822620945,37.27197082701623,37.64171575104835,35.38347743754842,37.142668019672406,40.43053440937731,41.990783645024756,43.37443922328002,49.13190090666978,47.601978411500944,51.82448183413673,50.32602002168402,50.00415627539891,49.58057728348822,47.80153428467624,47.6237596817089,46.520559018682455,42.344840321823234,42.96771963304863,43.794539279770376,46.9224119579828,45.027313107889874,50.04919679985434,47.28574582143822,50.149905603580535,47.980303264600835,47.537165048781894,43.32353903171009,44.45065136041061,40.5402746331616,43.89608974809666,42.3931249990597,45.606619654616686,44.82692756047111,44.887556708011374,44.2176255271056,43.05015417139899,43.827318604127996,39.80075175578373,42.421928727438335,40.01778372072334,36.993733076631834,38.320555473347675,34.21015453595834,32.94540213911546,31.269876675671256,28.65529268028563,28.88817049836055,25.941828926392553,28.362127784710264,25.557320008276747,29.698734567939823,31.350595999208522,28.168255680120456,27.547194256056805,23.12770804230782,24.067554181604546,25.49414362590692,25.046434945894283,27.99047767248579,29.24351262574466,31.86859102601714,35.55901930436756,33.29935103236358,37.70843174534967,36.19861705947647,38.92624824671566,33.21192629800336,30.4403967883422,27.016839378573763,24.86303157796346,22.27870259552379,25.128361227685847,22.52059570674423,26.44971678790205,28.632509372297136,28.34611160654753,32.04932565179288,33.46359720429318,30.867145389471673,33.12120270475281,34.22574653428945,34.04024589548988,36.86860870582853,38.25375701568461,43.16879622898545,44.17383992010397,43.93560089924042,43.42795281943902,40.141603844859375,40.39347357769666,39.12040206670133,37.903139321923206,34.35001956760483,36.22546719931131,31.489727146646064,36.06988228594543,33.78225069867736,28.86223644300723,31.6073697233703,30.333082782078247,28.725706618471456,26.161046640761747,28.7621152283394,28.370985449079367,33.463286124350574,36.54477060446588,39.02258770067548,41.898770411440424,41.17519219858624,46.28707884764902,43.623216969625794,44.69389292371103,40.79097760248686,39.375106990376736,41.121230185585866,41.70322934550291,38.491734691827034,40.42832243745211,39.34953550058747,41.53441622362358,36.80897527277213,39.114192093046185,38.40013919656,37.71657684938776,37.06072991489997,35.98634798123563,37.14297635556491,37.34187550040735,33.73527176222058,36.70387226566464,35.14662515961708,36.453140456950685,39.360515998685564,40.038150631797464,36.073090841986115,35.518033816583205,39.567076181488716,37.23243140119485,32.00681928274081,36.367518992907925,40.56980424479291,35.10922087205594,34.639931828644855,38.47441232704384,37.79101587188847,33.64478531994522,35.79896843115943,33.921196265362866,39.954017517896546,35.902133552044816,37.79308712012142,41.840757070027095,44.99311724047832,49.22413162366967,49.761532758748466,51.74356840831762,49.61869602559196,51.931756912258415,49.780266244660915,52.13928809394182,50.54005157293785,44.84626884613195,46.94704089336753,48.58028770976827,44.21229399800075,42.25205145358668,44.48366307331893,42.96972999339647,39.157810793601,38.296054917263504,37.494442639647936,40.9392065713085,44.3893520187364,45.417532534454985,48.22172423759644,52.03125364087461,49.72487687335072,45.283013369472215,48.35756083304982,49.864581992051754,45.131078481843616,43.85507346720789,47.161203019033834,45.965575140801725,42.35852312705622,46.460190791757896,47.88535104745593,43.90455310181025,44.055391817638714,47.62823600108078,45.49521318381841,47.9526954384532,46.54726386487183,48.91249509548244,47.53812441352941,42.062134602826816,44.37364518445382,44.88196699407484,41.810833108129366,39.413900898063694,44.06226342182331,42.05333889968928,36.9743704543985,38.26616856638074,41.9438794606205,39.34683113463839,35.456335191730375,31.732887922028798,32.86092713902296,29.004509118230988,32.66056755268807,28.510850247741676,30.779821794855486,29.096413254137175,25.30468428435739,25.860732141594323,26.233909593215476,27.268227896130472,31.224829538284528,29.011305566219228,32.10027169237849,29.425518000377064,31.700189802078924,36.94814356406875,39.60050174657909,40.67313729024343,35.261034131058494,35.86243887062003,38.801358781814464,34.96897516866243,32.563167829805224,36.80447788940152,39.7907375484289,41.336541403324915,42.325501634074115,43.292036998149484],[36.45143025115797,34.233470244345625,33.39570041829666,28.168965598031058,28.87518880391283,32.28584034755658,31.79299973771717,36.14113381326587,34.74262019790102,32.770899194881714,35.352877528182276,39.37932171074898,35.923155202237915,32.92021061328609,37.40085843773834,38.58712433813919,34.34207185772104,36.24929131205372,34.273077413062374,37.06919918558523,37.56971125139147,40.471712765106666,38.97414884434997,36.15502061968298,35.02164809642043,32.712907740437274,33.389377593408085,32.6540563914706,36.39203542646263,39.09258820367494,41.962334291013626,43.83539319962974,47.71059702749348,49.16586919735242,46.30121163110644,42.486355965673205,43.42971270086632,40.028820752373655,38.00121504715145,42.59892678949777,36.93835435319693,38.449202146831226,42.189275141650555,39.78894830692648,38.86161201519189,36.42934909221546,39.889251056883566,41.75857627564183,38.030766750570585,41.058061610221856,45.09382545138732,46.10292511855539,48.89457732414075,45.212715932931594,51.06360632454966,51.19105317951655,46.803399055199314,48.72027851526147,52.71903075102025,49.735741775644264,47.161976473757655,49.683422708288745,49.43927840787664,48.43583824322783,45.40693855724167,43.96486307753973,40.319478316227936,40.201221485843725,36.37135599560513,37.1807349362178,34.67809367740392,36.12444293021943,39.62596735163432,40.8297635949935,42.73173473665096,48.249248880227896,46.88026366742672,51.27326085831315,49.899221267158644,49.55063113629623,49.601343315862245,47.882334793819055,48.23496563462687,47.12277371526122,42.82572324980654,43.437350973296326,43.75639529639333,47.19148993475127,44.7957392618495,49.94978484049675,47.02632828279357,49.66736680600046,47.78702734698464,47.72349901079573,43.75228369095768,44.89411484967715,41.21399187076947,44.82881272145229,43.705512123276776,47.36436238717237,46.187195363797024,46.77933073405389,45.644711449101834,45.00740120948214,45.67173238293741,42.033997208357064,44.94553293618708,42.608731601116354,39.88978855134456,41.04379817756212,37.09411273983253,35.27499879408353,33.56316112119074,30.540541283143273,30.219334597109714,26.95289502847257,28.76461868516487,25.50127963458897,28.909376703510087,31.173463482181354,28.094960822821466,28.076538175462357,23.869040840731408,25.47543924239726,27.534011420963203,27.215414127242042,30.93057800996906,31.783594197821923,34.559972592148874,37.88322295761522,35.92688267994747,40.25841966688034,38.316244461819,40.929975553383784,35.151657134971195,32.38435267525836,29.48130926128988,26.79868329080411,23.838629492531904,26.135910848584018,22.590201957352956,25.914279913836474,28.268318352187222,28.58715802135448,32.200264224002915,33.93851842751061,31.66095898481384,34.34036977301061,35.90264356009473,36.016117963293155,39.244668544058705,40.61574849485671,45.640325709865245,46.774877208177024,46.11266811337353,45.47052315000253,41.95709153522195,42.43731877688491,40.6612947357156,39.77613036130716,35.84500174890248,37.109479517358935,32.222805812325554,36.61189126488991,34.39211481452523,29.45525696025294,32.579667901310025,31.040364877692753,30.05453260288791,27.471585712473594,30.2959021787484,29.732488896577095,34.63029116653504,37.73659208137566,40.1388353439388,43.25067720444405,42.31595548363738,47.46489535335112,44.54660060819981,45.894824455621475,41.83208119684319,41.047931858063656,42.61549310612646,42.99181802460618,39.6442296733048,40.95059917610116,39.53844014710365,41.52292509332639,36.45239319261102,39.20748472769202,38.72186947729432,38.40026758818988,38.208098162046475,37.562641729404476,39.06197972897114,39.63834475578435,36.32434461802842,39.57501971144099,38.43062308950291,39.68735334456056,42.909841165252566,43.55056230565206,39.548453744399005,39.327433917050506,43.462910233916475,41.093947346594206,36.06719777630572,40.55157244767692,44.68586285739487,39.27242792284054,38.99854795044846,42.87229100917107,42.05063045149483,38.01368728728444,40.35682241950674,38.484455380537305,44.53174986443237,40.472886394282654,42.234155560565114,46.31666039867852,49.380673559145556,53.68806866342845,54.06879656776898,55.926469857899335,53.64831633416177,55.79333618315879,53.45155871925915,55.719075480392604,54.32346927329858,48.586634982221206,50.423631824670935,52.05872659954102,47.83663556833593,45.70129731974559,47.65269877289509,46.326583817121545,42.66761230488773,41.341612784759825,40.95512434635769,44.04217360271749,47.61881460574119,48.92383154644987,51.55954342330262,55.522582362182916,52.997772822378,48.67439469093818,52.04533451372798,53.40400293804594,48.59508043514321,47.622910696808056,50.99293354973444,49.75062231642338,46.29609843140058,50.53660998284845,51.948075653864244,47.98069804428786,48.31819875355897,51.92708741854813,49.79556314748686,52.13332072848645,50.538400686531645,52.92999046910014,51.78519322925958,46.24040455034946,48.36575211712945,49.04927257439067,46.07208367273395,43.43978521652898,48.05762053238171,46.26896661034989,41.16265159641443,42.14782312533412,45.89871237572575,43.48754741304339,39.613554436885,36.02680647294897,37.14272481993352,33.44904114282131,37.23973842012015,33.09266981198234,35.20651309642213,33.460142027265405,29.81501041228243,30.205612723746537,30.531510026083883,31.291317472086263,35.19632838306618,32.71548296616917,35.473864199406066,32.639316474727025,35.26091418181904,40.26309281111166,43.12122346996053,43.91384043900846,38.549935267679864,39.563601691986335,42.39231395955449,38.234297405559644,36.291023413946284,40.70615710783074,43.57480711529587,45.063564519815614,46.01019891968904,46.99827923959049],[35.98556913709708,33.71831443027884,32.691798918757684,27.35968502968895,27.70670219412708,30.84480458337367,29.991419353061456,34.200867165237014,32.65688182596132,30.383480534131447,32.86247910376564,36.931399656020936,33.307092618954435,30.250710670804647,34.59404919452662,35.76141240295815,31.459956737802464,33.21353297903997,31.130318662355872,33.98643189802475,34.44431614554031,37.41754455899151,35.91359818378731,33.161290677625956,32.02652070711046,29.62699026672214,30.403216498875185,29.69197805058738,33.44258297139612,36.25106412714968,38.973998505172105,41.00618493138351,44.831897075233535,46.169646063353255,43.34539824288572,39.49051159051794,40.58476577047004,37.117223318240356,35.16799215617905,39.88625152514736,34.17865794985769,35.49809807402637,39.28252594947192,36.99407146914359,36.09925553052643,33.83062196500832,37.36095092207609,39.10058728716723,35.49048685603841,38.720369508253214,42.61253457709499,43.62348975467055,46.29604559783431,42.54259959999347,48.33342315000324,48.423550852349386,43.98296074818334,45.80283495796265,49.80082885949239,46.852815482400295,44.159305942068364,46.59156135238693,46.30881947676792,45.29147702039832,42.30459658016097,40.862831399039685,37.145600622796415,37.052756958634504,33.202166495508045,34.08580531480871,31.568561208975865,33.031115823074636,36.50448695635181,37.64510920263852,39.58544642571242,45.07484417221797,43.73525100868166,48.141816002256505,46.81742388971295,46.52151284901987,46.678400506296796,45.07195474241414,45.52265753628051,44.53630682408892,40.218002867562,40.69166695169577,40.846815249151874,44.29472831140218,41.75690205649523,46.899317815036,43.93447590258352,46.53798584909244,44.71565261722654,44.73702486714647,40.83999250818985,42.024096824936635,38.428184187191626,42.070551032840896,41.09074384447957,44.93263073321608,43.57494582458243,44.41906502441835,43.1084448849087,42.754170513095595,43.493400828704985,40.04440752856952,43.18010569334301,41.00811496924752,38.42011757695613,39.33242557164606,35.45534529400619,33.30410417634745,31.494727009973357,28.308146488685672,27.67533451361169,24.3235307191622,25.90243486010383,22.563075850768975,25.77618197921479,28.12489194134816,25.082163325288075,25.238877952946105,21.13275072762784,22.997949538430657,25.350315355819447,25.178430836240253,29.334713632797023,30.0240426949889,32.96419563214667,36.1185595588423,34.54563401938771,38.87814163617248,36.81980192746729,39.15800180231858,33.44219939858021,30.503153670080213,28.05323422627692,24.937022532424137,21.720788826850445,23.748465831518565,19.980359069988946,23.220517765085873,25.400749215247014,25.8488799672434,29.449477895843575,31.153526280565806,28.98469549723051,31.76594612816236,33.5321322146064,33.741546880551134,37.18108306701694,38.51909025992672,43.58641933664652,44.823385188449116,43.91057022065459,43.176520150051836,39.56131064548568,40.17296107322546,38.16543193411861,37.517529673697034,33.51380587212818,34.49489842168586,29.693292148961824,34.04579110388494,32.09407859847256,27.3041282118314,30.725511508865846,29.403845169972904,28.644569346452553,25.812451562276195,28.5809216944413,27.69933921214594,32.44887323939279,35.44679926287121,37.70381368803833,40.83550273231542,39.72502490662015,44.920090578872625,42.008332903659046,43.502717063353664,39.53254375973363,38.92259892199566,40.63199629471214,41.0783503003716,37.64300826764293,38.68095042526743,37.03841763418437,39.19956098824937,34.182549232524586,37.15203057047203,36.91861925978936,36.49884844323395,36.61341986285586,36.08376295621522,37.7318714835162,38.58006023677297,35.26889206455877,38.60130399365003,37.65002216760085,38.62883395578068,42.1218570764974,42.541721252682976,38.49516742212432,38.68254193010348,42.81238696540163,40.27946423998864,35.548290486061276,40.18741591828369,44.10810805077899,38.71970333581457,38.7395492122083,42.64336211736384,41.58912880281406,37.73871217407102,40.41364027816453,38.60475178383686,44.6564299522797,40.88552457163174,42.333151880592126,46.412969901656545,49.5322413830931,53.86360895318593,54.21563989545592,55.81691339109275,53.38512162853762,55.36408705699961,52.77917069098763,55.15114440361437,54.00941779922764,48.13648172833572,49.79045065513423,51.67566209765508,47.58967500003164,45.22114950350094,47.08129537669849,46.15860085022695,42.521554625204075,40.765775526629305,40.40974565262003,43.06096066117777,46.71442261525818,48.069502104253495,50.48244150790846,54.48680973140901,51.725391053306716,47.55187516697113,51.10569330706519,52.242309720145336,47.36875045910523,46.69285110172107,50.04680370857411,48.72199863284181,45.45049109053423,49.85792150369378,51.205549960436166,47.25427936385114,47.85155735575143,51.51996187264179,49.45076618814023,51.6823525561309,49.913613877093894,52.44991321829672,51.540748822073205,45.891451643515296,47.95002919020185,48.92682880373564,46.01459663760865,43.20373848786489,47.98898753403193,46.512781793703816,41.288015147737,42.110762203168655,46.12950803603231,43.970349147401805,40.027302825641826,36.3753880606947,37.90581357355685,34.246089040719355,37.927228039789874,33.53265323889706,35.25943267304232,33.25189483954652,29.944360441217803,30.23918420259215,30.815737278404402,31.264973823987365,34.92963825645929,31.992811830447344,34.504625046885415,31.382202922456695,34.161819101549206,38.92632681484292,41.92236568323416,42.43770996820706,37.12252927476432,38.48693604528086,41.182202228776994,36.7692960234414,35.25074875413864,39.81903654681414,42.58202442988466,44.03804865201545,44.984643764518346,46.04187633024864],[33.85868754385618,31.29247643433371,29.81644045214223,24.77137293367454,24.618684449937493,28.4944942245971,27.76587928047432,32.09358957037518,31.12550097783842,29.082720590785463,31.929313441735733,35.76767799181907,31.983154458391752,29.460731638057993,33.95887727619357,34.797360319588115,30.423587802521386,32.51598953912437,30.77066868482912,33.154852710130264,33.93064463360809,36.628222440948726,35.43297122043573,32.61764790435104,31.110698579172716,28.935375562029126,29.161188307908244,28.42385592608434,32.237545751790215,34.86453090050145,38.31914002324488,39.766752413852814,43.84044748955149,45.32649593397623,42.20486373018415,38.4037388392841,39.013295351668,35.584052025166656,33.37897468283188,37.800422555340255,32.28693690542505,34.168127938963906,37.885830684974884,35.421687329539694,34.77462994370872,32.25626721671736,35.8098894455887,37.4450400129732,33.42751526756075,36.44345678159684,40.45791033078808,41.30540345938698,44.210528252190954,40.46967362369176,46.36799125404162,46.729144154900766,42.433084918815545,44.34482387257181,48.43677920006974,45.635156451670724,43.19691877398572,45.908255473331366,45.72140431094626,45.03709317850055,41.80644426735684,40.13926912786341,36.96768160246828,36.71740879383941,33.30335650236587,34.151365434750005,31.946243043465447,33.89462905462276,36.975215923786756,38.04271370574378,39.50624578878596,45.07314663340435,43.260136515578836,47.598195641052506,45.929273469965196,45.374799790606595,45.13569681657894,43.189519368382676,43.414107411198415,42.12343104975392,37.85706015158624,38.667141086611444,39.270639573549786,42.73051490211654,40.70270349137384,45.999780478552566,43.37283438111383,46.35883044187779,44.487094329086304,44.29274574454095,40.285649282184124,41.75405836550383,38.049342665922964,41.16549245579011,39.909550746473094,43.47316272004806,41.96524074629944,42.29622203616138,40.996166705719055,40.18036058558926,40.56359366932163,36.986220900495695,39.84842198594714,37.43857897632106,34.88258845283612,36.12297326638508,32.3510326757675,30.39913145992812,29.031524641065626,25.828902813332856,25.900117486295237,22.524245269234186,24.552287598858268,21.297032736220725,25.359237726561744,27.531132216784997,24.629674534986368,24.463612740828243,19.994747103304363,21.392707332350415,23.42385120290938,22.499216217560896,26.381394770422958,26.84025888725352,29.52525248566236,32.684889533116404,30.723796922616767,35.01128283691971,32.97605896597893,35.59610994538519,29.80156795111119,27.114136374621346,24.25112964596167,21.5575212556895,18.705063690857408,21.063196734265674,17.737722822307813,21.308248601591977,23.79936418917609,23.86057025076511,27.46279729201877,29.33531371812608,26.97914182344879,29.73059181469201,31.17818901960914,31.598486988171402,34.75869725311908,36.53572655880262,41.43310986899698,43.04219041898151,42.33935330181803,41.35260698609675,37.76761549004084,37.93781799995299,36.16020810699173,34.9110633824359,30.815998326406657,32.256549210375155,27.214744205042283,31.612875762613058,29.204288963247745,24.22872192631471,27.267725324591705,25.860849058465924,24.783363581124455,22.12201633334713,24.923039254422626,24.412650078333307,29.35388614117411,32.528208081185106,35.05515487649176,38.21968356737309,37.53500249909286,42.55626065828465,39.53050398620086,40.762120089268045,36.60783534663779,35.81352743384137,37.267861601466095,37.6398781157723,34.31085109992169,35.7776367422078,34.537195389650414,36.54501706113103,31.63322959525042,34.18770595625863,33.66201418845143,33.173281114314705,32.926992188573514,32.23449200898721,33.75237134706263,34.43021069686583,31.142896547894022,34.47698176340008,33.54705109666911,34.759733014820966,38.184447497120615,38.85188388836868,34.86569876789962,34.87468616053607,39.103353145405165,36.84054637800724,32.00790099402743,36.600575989539564,40.74272959684817,35.58957711498876,35.53160419455297,39.49438576480584,38.73098193760057,34.95710864532111,37.492076843132054,35.44044597164167,41.479961015928616,37.35536573990792,38.72101889898473,42.86131760234244,45.7481385629024,50.19653222734663,50.3161896053767,51.89872890438745,49.40108121649621,51.336704498789494,48.797227575225385,51.02065505363289,49.855650850199126,44.04510430825863,45.65382041640273,47.40646680079534,43.33378854905313,40.990695287612986,42.798947704735085,41.79783166085644,38.199720483091596,36.461388072192975,36.227762165301286,39.019073609105526,42.65983883356933,44.14485536492916,46.671904374609554,50.75722511912568,48.14635091334971,43.872099893679085,47.49417653994981,48.8368602393519,44.018232631524846,43.244218277427066,46.79254780395237,45.65914900153613,42.30215811018794,46.59261748456926,48.16498320563537,44.40951761134225,44.75857483395429,48.32414578885291,46.07676786314761,48.148963493833264,46.28378203261599,48.64936717501556,47.844465316906565,42.22588590225684,44.06567487212719,45.0113820490944,42.18844628119445,39.228465465515,43.88373827698026,42.497874477993356,37.29745028318784,37.93090005217833,41.93103560033409,39.885057201214316,35.965836679190616,32.46042098824353,33.992098860659155,30.530078047378005,34.369086976472545,30.077105284331665,31.722915543571634,30.034505458457637,26.659630600455717,26.613949255473543,26.964381791561287,27.24224898004239,30.965886721589566,28.21796591668579,30.669329423478096,27.877871488634714,30.865234711991498,35.68191737175239,38.69523050252974,39.48393643524029,34.25943905980416,35.533826340871784,38.51512138688789,34.35018877719422,32.72054644637844,37.199405639677664,40.22987344928306,41.77333719957217,42.76876982819132,43.85770041779037],[38.00687360498736,35.46995996615801,34.08220160083769,29.199765504664978,29.161570187722553,33.34887296666916,32.76921056807956,37.130615656839595,36.23267457230205,34.18465669337925,36.99821819144958,40.856501510466586,36.98883004489917,34.449475819680735,38.84412224611781,39.654479751973284,35.180468427680296,37.004552245750645,34.84231270147687,37.16623150884335,37.53836475384284,39.98975224905276,38.486550134555685,35.42953875664382,34.33252277840771,32.52747808670772,33.061517223227774,32.74940842175423,36.73432001590611,39.56233282654119,42.95257157093448,44.55728771959084,48.61862327099785,49.89873304800378,46.74786109883307,42.82386774253986,43.55824562778667,39.78001872457717,37.40325968885202,41.46544159653474,35.80772845433722,37.76743599542502,41.237225395720934,38.479704204661815,37.384635584121725,34.5959786196748,37.86032206024225,40.02584372465153,36.16892474531409,38.73990877262176,43.04144461481118,44.145844188491125,47.12366904780493,43.759856677389536,49.71286617852227,49.74551159898001,45.520168756371916,47.84103590971838,51.714468211767176,48.5355488643575,46.407505853099984,49.329992788923434,49.422014783115,48.37334787729926,45.091919938402,43.80610057545401,40.65180176631382,40.79451525061402,37.34557663553401,38.509697577028746,36.17211923697722,37.90506545225988,41.12519429709158,41.90399126409236,43.69471771689734,49.06382527900683,47.24025154339183,51.690201481456405,49.981009917603615,49.249016530402976,49.217035260221216,47.07735558972162,47.62220934942588,46.05560797117406,41.760303361878364,42.85291254849933,43.30957802271622,47.03383782037599,44.87208878376513,50.329151445359955,47.71249217060664,50.626317389647355,48.94907360187531,48.9443588846936,45.05473673640426,46.542407332362785,42.925164752369184,46.098177512234315,44.93000985086832,48.54834495689372,46.90317591143229,47.227345342518376,45.76140194134543,44.91294069959264,44.97250686322014,41.4876143527495,44.17146330313357,41.53190864205476,39.10343847815744,40.62903335982966,36.97187641851759,35.0994622760093,33.96873857901428,30.696591400521434,30.85795496867385,27.375599912098416,29.204638339443783,25.695451247767416,29.404381889250075,31.999693066981116,29.21178205056881,29.310741023829944,24.91622909818045,26.444147270063024,28.510828756252042,27.37131291536943,31.122280216161418,31.414049854741943,33.86628249292849,36.88844736739917,34.540234059949206,38.6652145340465,36.4319280158165,39.416637492479346,33.542460465200605,31.25976578775244,28.14734703865802,25.831330080143932,23.20782657580827,25.421246666427532,21.705220421364874,24.70906419011654,27.65331393755824,28.05216862683363,31.50468273407541,33.76085531752627,31.55435681798683,34.5092728886775,35.98998594720598,36.5868236790791,39.69468660406845,41.59433931701095,46.445098287946614,48.104341394013794,47.44271444428802,46.41034508039285,42.801559070623455,42.8787981674715,41.049003699052086,39.62490023324518,35.318482955567454,36.682276049038485,31.3944654744663,35.58332769324513,32.75270095815039,27.598393097511867,30.368479152481193,28.33603812408283,27.474645795309698,25.344422904436687,28.384208910280314,28.324477922471544,33.228615835469036,36.58228566461497,39.29001083546979,42.6236010966114,42.1199604060547,47.0083045619218,43.720676309205544,44.91794177041058,40.46015081749741,39.98480206517599,40.94636571643956,40.972270266251336,37.72578548874199,39.07070719129359,37.97897446702636,39.42899542802937,34.170277056210075,36.69813181885746,35.927362489002,35.965913066542115,35.60272881532722,35.12791732448752,36.68617067161352,37.23684531220974,34.298973459414036,37.719678723184664,36.89227786806524,38.55705458716053,41.78314036199338,42.83176901471545,38.94333329253818,38.5582168330752,42.86162992747802,40.92306768201301,35.820478236038994,40.22124471417682,44.67287400123427,39.623144870720886,39.254123277528855,43.198059151087975,42.760882159907105,38.831506692501264,40.96168623420159,38.75494151766363,44.7713256041129,40.090894526572505,41.81149573526225,45.98584014809962,48.61727704699842,53.11783118905838,53.059999947270455,54.92057788283185,52.513646358519075,54.52891283567277,52.223993135309996,54.13136992438875,52.75744236081764,47.182150365377524,48.80538887258259,50.10208583009968,45.985179414941854,43.879794349535395,45.53083248012156,44.04009462302149,40.599113243155394,39.14131102251847,39.29949917651456,42.46311932929883,46.05987352650922,47.75591655350298,50.489376453034055,54.65113678621607,52.26664147427605,47.87386078475448,51.48068068635571,53.083129107155116,48.344701086121475,47.36707938892554,51.03190994225513,50.04461936487858,46.54007049334999,50.63916125652343,52.35593377269676,48.66117821123097,48.7036999130164,52.163962244942375,49.776612543901194,51.847068034680035,50.06073261168116,52.156617315425606,51.229886895870216,45.753901159082346,47.44931448619351,48.07496255858737,45.27944149380227,42.36294160960124,46.64525229993309,44.999367330283185,40.00656567321185,40.5538573214917,44.149714896186275,41.91979954365033,38.16109232665508,34.96117394886562,35.787485972591675,32.501861986466,36.67043284169778,32.83851117042671,34.94285286527906,33.71918247941961,29.93845846147323,29.81968953677087,29.646142280356223,30.14410437363258,34.185978598828314,32.0310949571347,34.52317337969832,32.179763624456605,35.2300763077062,40.14984379684202,43.10956273959974,44.13753694575079,38.953862638609415,40.02069059573678,43.158263821575,39.18728895840848,37.30302158291399,41.643043257968344,44.783618147249754,46.342477428509795,47.30635420860845,48.314068772258196],[40.16539956492713,37.62483021250034,36.099468613166316,31.085150618070887,30.685322385163865,34.55544762589273,33.530494533671344,37.69761368723335,36.55908207998665,34.0546539360578,36.648904106962014,40.59278842534554,36.45754144370977,33.789116543930085,37.87476457209868,38.669202603966816,34.071395721486574,35.44534758664037,32.81550877972132,35.22175007396169,35.21478192573627,37.63219702385485,35.869659266576114,32.759099639749465,31.992209926409124,30.288671733153087,31.24207804693345,31.26131743967034,35.36163838309078,38.49639162274164,41.5306660262081,43.54045126738697,47.47832186530594,48.425991067938305,45.36264974759149,41.29982758694066,42.40333052515513,38.295738479312625,35.95977835607317,40.016376240049155,34.158643785490675,35.80044607421183,39.180406845133795,36.42472481670881,35.0422941924141,32.36289160226301,35.54999893986669,37.88345461492463,34.37514767133734,37.02467796916987,41.27148321764343,42.57338961761313,45.37395778793857,42.13485504206825,48.01776459315594,47.73510890621836,43.446853954041075,45.87250603643822,49.587636601752386,46.19054296393234,44.04450468057871,46.928573292763446,47.134951373995136,45.77492940383218,42.56206329296286,41.56810124928919,38.26084224770021,38.7300249901755,35.203035481341416,36.69402885743536,34.2364662354823,35.78776041776283,39.06974338077814,39.554921624380235,41.6694481120107,46.8292714458868,45.108991322233955,49.65221060827253,48.04206006248305,47.31045472284501,47.63392243441277,45.59374802152789,46.52790580331026,45.02614688729271,40.667814080606085,41.67998720562994,41.72755649229767,45.63879005860242,43.107633137189154,48.62196935694423,45.91201699034923,48.66378024997604,47.21541116574346,47.48960019638336,43.81550510581824,45.33844061819647,41.932154678485745,45.23173251811083,44.36913437998335,48.32147152421402,46.34789427269914,47.11575643630452,45.283811993985275,44.908493668500675,44.94274295393214,41.813012476006236,44.779634432023,42.2934389183629,40.12174759099131,41.395960205303574,37.88589599357044,35.53400833092538,34.337005846530516,30.781028875896702,30.46527804624935,26.799362684407825,28.11006572106252,24.32534641043987,27.416912412565072,30.43028359691754,27.79125042817244,28.347355443586515,24.207368823042568,26.21028911076862,28.742248879748093,27.763373882873317,32.126846953917436,32.119651837316205,34.73220521472738,37.43048457424032,35.50474615163128,39.56071105749544,37.0278224248979,39.754498082598914,33.92751149913508,31.566579377955005,29.054696965695918,26.215806504497355,23.28165693740824,24.97069794427073,20.609691064328103,23.073508349022678,26.02873472450834,26.891218407088463,30.224038021601192,32.660971813699426,30.73941019339213,33.9784398719732,35.822854189359816,36.64282119022626,40.067481614956506,41.929389287332384,46.83948456954669,48.61958612247291,47.5870698089923,46.43027595398423,42.65647555147277,42.932353699379924,40.69632616217889,39.601918697075455,35.065260614626744,35.89081864147057,30.602337853951074,34.601212342972495,31.980821726472765,26.95849151796192,30.109528021837153,28.061853284861513,27.748430548568678,25.48476756508825,28.58251398923036,28.232783446542808,32.87346076340331,36.15153776800894,38.71198484668363,42.17921694489007,41.459257327199495,46.36140554503863,42.93565616575408,44.37754070103892,39.898950190535395,39.91405805697441,40.84415744405705,40.785591949699786,37.42501302359806,38.204235861148646,36.776689306735015,38.17978329499021,32.753142938150766,35.68861010555672,35.22553855890737,35.440188560601555,35.56232175354199,35.427139207070994,37.270408190588476,38.20875736676649,35.45579475234055,39.05555431326986,38.56786292576578,40.01572358439581,43.558313606140096,44.43787195052275,40.51570587779901,40.5548064541754,44.87876307294016,42.814455065314306,38.00374965335308,42.55044117748672,46.81929401312782,41.800152426786866,41.702866689934766,45.67694631117529,45.017883143803566,41.245414610159976,43.66973277874249,41.522271347899434,47.55045107641048,43.07482301903082,44.54589583310609,48.72703672868305,51.36508346193996,55.905733044344395,55.76922324556102,57.404879083826685,54.832046635712224,56.65654060991336,54.10472676900341,56.03106415548077,54.92723827313457,49.25473054911369,50.624907329888124,52.08276671797871,48.13981140201707,45.80303470704166,47.245966764829156,46.122190643547555,42.78685834188472,40.82180624214026,41.204875854538514,43.88918180578884,47.58604366907468,49.44738686768772,51.94334017418805,56.198256851554454,53.55529653070006,49.33142632804405,53.19233411468882,54.5728255152988,49.76534216351378,49.12782328178686,52.80046064940119,51.73463277153355,48.42481766254188,52.692210663295135,54.3519350096408,50.66817972711834,50.96892134335706,54.48585650893259,52.14844349187048,54.101896980474606,52.12208630548064,54.32504067007292,53.654147608640166,48.08562521011096,49.658015913320256,50.553825753437465,47.84309627068598,44.71751580244211,49.088573194255225,47.74558481506775,42.67354897953497,42.98436326980462,46.77845707895735,44.797835877575544,41.01068301700483,37.825258517321345,38.914092684118046,35.70728349205257,39.83782270246916,35.83984023392333,37.642474347860684,36.2044602712022,32.6978915694903,32.48789484358081,32.47836542576568,32.6752011019689,36.52039300312727,33.953948287751324,36.1265909620009,33.52936636005699,36.81745540126592,41.45203047997523,44.5870105702767,45.29689697964074,40.18270663687889,41.657687328677795,44.64365992424824,40.36884894886889,38.96259295406229,43.46942056715777,46.47486750582095,47.98417223111275,48.92379312711568,49.98094072515372],[37.959735174709756,35.22828320699575,33.254777734656024,28.37085673897478,27.25635202816379,31.179204644705834,29.814501318752445,33.831470252334434,32.89818977712057,30.2116016247834,32.89310578666791,36.69887792384234,32.29190548547103,29.944143986413675,33.93071719370436,34.47509321898236,29.785644506179636,31.19886600078819,28.692999322431813,30.833031126570145,31.02104603355143,33.35192372224352,31.823269475426127,28.756380392092908,27.677342868151392,26.001819313310204,26.67485621033113,26.711140889085097,30.865548743104227,33.99759675531671,37.34471701733218,39.13554849141472,43.167694323467025,44.088915604247916,40.88139406547989,36.81969053125857,37.76892314503482,33.62074377696452,31.207701768137763,35.23695101747723,29.439089173752702,31.239816809862226,34.65826597154723,31.926928686564345,30.793929676315067,28.148094521896766,31.498495413028955,33.551621099060064,29.867476962947556,32.68316523083763,36.83217104723092,38.00035231448958,40.819548271942146,37.45170860177216,43.34761289846827,43.24016187926088,38.96565389652829,41.30369849034162,45.11562428224658,41.89612661176006,39.74008892931905,42.69749068507428,42.89515900213849,41.78797121615959,38.452207065178165,37.26213613368893,34.248897379215556,34.609813683338324,31.375615590102463,32.911290570011154,30.676317958073128,32.59113774366115,35.54075985791521,35.92221124271869,37.719229751020954,42.909729561193735,40.90084416876715,45.40187151637825,43.619512478641994,42.789639177049764,42.9524396087377,40.830404908227585,41.70936425343924,40.17609020298839,35.82109798503364,36.876434212012626,37.03616662801785,40.95713592130553,38.61140392267967,44.20412131058886,41.67584871170248,44.6462531825913,43.215973897502025,43.427388384374005,39.771078111544746,41.52470004770965,38.156675171239,41.118924682893805,40.24316701715151,44.20310097698321,41.93854084454493,42.66919304132779,40.64804380151128,40.31779819743424,40.22643382449951,37.255869544324874,40.318690303848506,37.90521118967369,35.923728487799984,37.08916787932715,33.76146387235314,31.139660299405573,30.12202866675368,26.380853153141672,26.141532150544116,22.378168086723107,23.662736361783036,19.835838878056204,23.27642875351275,26.265749488397898,23.80267595363724,24.361840298980056,20.17211435772239,22.168714088694685,24.82463058275727,23.53679880697703,28.2235408189581,27.851176904805758,30.481020952815562,32.945099882117084,31.283345601096173,35.292009909757695,32.64317055470224,35.17726018690472,29.39993672041511,26.990026422568793,24.842321200506895,21.72648015870421,18.730583639818384,20.212828519088916,15.787693770042468,18.339464077022956,21.334515988521048,22.11406628327147,25.428111013493247,27.95014708124422,26.052232335606,29.396107684898766,31.27765797087334,32.35481824117365,35.82866726614166,37.91253026418433,42.729289174165615,44.84517002912193,43.66421774202754,42.25062287768511,38.40054904293565,38.54976802129438,36.195750150104665,35.00906833400903,30.34011641416826,31.104655997559156,25.7630265323278,29.74586153213387,27.16383125710056,22.193186905357933,25.511722218396493,23.715218828432533,23.505875130449635,21.007246287103715,24.04906125125273,23.516205643132754,28.075942875297272,31.327527961986696,33.87707446820403,37.38211554381665,36.721799527020565,41.56296982108704,38.08541829248218,39.53547429257242,35.06489157374182,35.16882858294401,36.12975857469674,36.130220163200406,32.719161295155956,33.44554638288934,31.9816262971083,33.54828731532002,28.25194333735436,31.205435055055606,30.890246994554055,30.894367316944955,31.187433750356593,31.086545711683552,33.03513183455894,34.2175061364047,31.478187084838154,35.15707468003461,34.91851977677122,36.13569782248177,39.94521122193766,40.682133855565105,36.77090477939158,37.207150630452254,41.53953475655327,39.44247768489899,34.980337087424296,39.63821498134561,43.73370009622043,38.918027156034306,39.1241444261808,43.127623165149195,42.360100711339925,38.883196215907944,41.59265143396193,39.41474962684997,45.38742020272921,41.1189580625879,42.15809163939673,46.333108845666146,48.91046283211246,53.51204296044685,53.23520504625445,54.54058739238231,51.7637305456646,53.36213952195288,50.55192521232539,52.533462668451726,51.72736573589908,45.941950965544805,47.068390155425156,48.774174695312475,45.016685326622564,42.416934554420884,43.72944159898113,43.083235283518874,39.80090762052346,37.32659059840518,37.787670686260284,39.991019656662836,43.75627952050083,45.726383847970254,48.00346381121044,52.32939904518761,49.497656917453426,45.41665039719674,49.50820493228185,50.73090687184556,45.90275736853935,45.56429808083748,49.300891634815265,48.25104410534002,45.13042308554244,49.5007180690062,51.19749588389434,47.66471082206006,48.12992968779138,51.63921316696864,49.29593385350814,51.029695520488644,48.805695215872746,51.08366973346567,50.748895603995265,45.105482274745754,46.47914352239255,47.70973807335155,45.137025884017156,41.746452033322115,46.23617473152613,45.32702148872643,40.155170635831816,40.18120289839586,44.28104115449901,42.67503325697164,38.8383069760166,35.66524564123659,37.26729897221636,34.218479674354434,38.236249468472145,34.03134081708635,35.30817605454308,33.747536271989034,30.654868144420405,30.15848509249891,30.338641729437366,30.067823664184175,33.5951166507702,30.60646027944998,32.41132436065796,29.684113571093846,33.24996835710391,37.578649114027556,40.86222881465912,41.39573787145319,36.439419275605395,38.261938864809046,41.22818531850202,36.84503361260731,35.8862675690338,40.46817763162761,43.47636905700874,44.98480377269594,45.94639156688935,47.09699763220774],[38.50319148081238,35.632022430230755,33.540360580618575,29.01337334850768,27.904261475891555,32.612443954490445,31.689782746131144,35.89297897889502,35.45687709604701,33.1891651950776,36.155030453655186,39.786982269076766,35.443257766094554,33.446096010542476,37.616013107246054,37.98664042690479,33.31990359018771,35.00285521426514,32.721028524827176,34.49592073118061,34.807370555088625,36.80156015644193,35.40181617125728,32.20515630352764,31.032901658055742,29.713237367554232,30.025670542127497,30.128873545381033,34.29902953901486,37.24160916918011,41.12098657924462,42.447188507349864,46.65333248643608,47.71231681875983,44.2933405477209,40.29609996909942,40.83042783316197,36.70558400948506,34.02887413238658,37.576181404518394,31.982845175708935,34.34294849514337,37.55179325974127,34.531075513861495,33.39898029136658,30.36242276789301,33.50288016088653,35.77520752762159,31.7902609510334,34.045348089026355,38.490175488645086,39.62729831339286,42.728079162660734,39.604991986096294,45.60166483165831,45.601339748233734,41.53752556654157,44.14845058966057,47.92039922024493,44.6635294028378,42.91449864741072,46.17842934009528,46.556098728744225,45.56950759935764,42.05511668799602,40.846822947772075,38.26422247523033,38.60494013957688,35.6477874408837,37.14621937280477,35.06633868484196,37.1597612627864,39.960636965206774,40.30071600434048,41.863709740139086,47.0503742757274,44.73885791334379,49.19086004170328,47.146376529317855,46.05378984647174,45.92430150707327,43.423788584102226,44.16058952437604,42.218758839023444,37.94800423889518,39.44742035242902,40.00889548378074,43.9750226145159,42.06418177210132,47.77259523902845,45.50606446531696,48.70574044847419,47.248954870551806,47.30352773389405,43.55617705498168,45.431124660888905,41.949635859055725,44.59318238643812,43.44767036197711,47.07633255395786,44.85008658100416,45.02221531724193,43.12467160870937,42.22604775240136,41.711552498683304,38.53770406327827,41.128659008874195,38.32513970174767,36.31986684714433,38.026762154167095,34.77292385029767,32.62591579220302,32.070154637889885,28.487310094400385,29.000574113203303,25.333156828232696,27.04771039630498,23.368069535427324,27.327213195323196,30.177417107493163,27.78712001639765,28.04267945366103,23.61636427053091,25.11059996953812,27.28429988721469,25.366494785387328,29.383890729852038,28.944607254309325,31.1393497887268,33.68034586799398,31.253401805949714,35.13427197638948,32.52667356909903,35.65299456635525,29.771401786066562,27.895016037713102,24.955427133185353,22.745425977221,20.397205157397316,22.294864103252777,18.426592294571027,21.02245170695798,24.442944689926346,24.917254005480974,28.134430015572004,30.86654810020543,28.812120960182668,32.05138632402324,33.52818191614972,34.69187204689164,37.76041410019863,40.178851734383784,44.81909742606752,47.09119446469247,46.27369522484192,44.7753884633491,41.04451489976758,40.7681668380742,38.769445934212065,36.92897751990238,32.238733343142826,33.54566650040623,27.95823093737562,31.87732687350305,28.593612183751194,23.35276322757092,25.918068332010147,23.574854900319856,22.99785912578806,21.15453363127215,24.345019131357386,24.59494927626592,29.356328356474737,32.86578575852172,35.77815823835613,39.315300764817145,39.16815935146089,43.77178238171947,40.14627604720143,41.2570130313734,36.49526773295735,36.42762655659231,36.875097417267504,36.61443432475393,33.422287885981156,34.663118512607184,33.78422991590713,34.83891118060892,29.49402585338664,31.87573082418404,30.98889678810809,31.262146582500034,30.935362910551127,30.703504431421496,32.43179707908065,33.18998831430674,30.642920080516614,34.287233818944436,33.96503388829621,35.775448629835076,39.223555533360795,40.476272683625425,36.7008601483757,36.52218853711055,40.94960701316885,39.31608704987229,34.46614393179536,38.87622511093571,43.40522745019916,38.797046622986606,38.607808533378815,42.60965975024588,42.34848696299716,38.74067502806402,40.946325373559226,38.49393591958662,44.42458168265121,39.47162011189288,40.81322358477022,45.039325574325595,47.285174712808754,51.97285161445196,51.461193033360864,53.05457608138176,50.38115184858785,52.09989198029403,49.61028853947323,51.25947391364293,50.157650599425324,44.63245718632868,45.86350657103807,47.072906724945625,43.2104504845682,40.91287714893352,42.176553903572426,40.94092681709089,37.751449062055066,35.738380925390466,36.46194582217871,39.269914153514044,42.93678275323554,45.05493137470633,47.67174708905031,52.047444294228704,49.61004054211667,45.30042570673835,49.282683549867485,50.92762044521218,46.23545540992359,45.515302113137274,49.439178583819,48.64702730291325,45.276730962222985,49.35081273007742,51.30758241457603,47.93079292055495,47.90758391056151,51.24985286664262,48.680927406493225,50.371810226857136,48.24341010079584,50.16948409370087,49.6895289004552,44.21791069531305,45.41053130887786,46.26347369836036,43.73063595594273,40.37883035620422,44.47162411081943,43.299170648811625,38.33331281724406,38.27876241846408,41.982488676769236,40.214986420861756,36.52648694130503,33.668724889691276,34.662974336546924,31.85231426111845,36.20269143361535,32.46598158538932,34.13518331702585,33.19823996315744,29.673769798955952,28.954222776085658,28.545037928172007,28.447342179956177,32.32266646753465,30.092994059467976,32.04892484944344,30.001875802642587,33.588837337050094,38.162165362876024,41.3110971672721,42.34647796753636,37.44742036868122,38.841893249665354,42.15409712624018,38.22448268700592,36.7648468326895,41.10134361971644,44.404373748995624,46.00039318741628,46.984266554670086,48.074444523980375],[41.47514652526072,38.69427464418549,36.813477165360005,32.29176213202556,31.50611263828618,36.2548226004125,35.490825276298416,39.75148752340187,39.23829458876709,37.00637052956386,39.915337595071016,43.619771004419285,39.33067256923889,37.18757035055826,41.345083802016816,41.8018413909531,37.1231675010566,38.662730389726214,36.14954442767196,38.006531210534654,38.06061221162169,39.97961865425143,38.354183547329406,35.05233490279415,34.19254096910665,33.01712147850596,33.58588696813164,33.860568699790186,38.07402361878238,41.112048468012766,44.82188587785365,46.31808828662349,50.47560691472915,51.44220699857531,48.07217494066158,44.020340928008444,44.687503289856224,40.42783245843271,37.7280336589482,41.13108299855095,35.46813379726198,37.75994607647132,40.83386503700468,37.696512251427556,36.266408230109356,33.13133571512406,36.050299727952286,38.65972966054336,34.86560852461893,36.850408630671886,41.4238436060711,42.733251120715515,45.83009648358818,42.94440613300715,48.929845619903276,48.69797556696691,44.6733982389748,47.491399355601814,51.110940575401436,47.61887057429806,46.01629813728288,49.334757258991715,49.84229890118339,48.59275443643426,45.1124127442316,44.15707103825972,41.47037636709442,42.02689365962377,38.945149608368006,40.56673257248687,38.34790814618549,40.219898698835976,43.196147799146146,43.44270183307692,45.26786408626689,50.34690098759382,48.14328895249863,52.6576441634841,50.66652364583215,49.53764226248781,49.57676080595749,47.039648502717014,47.953737711095584,45.922133549136554,41.65073366418409,43.232698605076244,43.661378065835294,47.734356927889245,45.67803308792855,51.41933803840856,49.086571295669685,52.167292114469014,50.7962507327639,50.965455116314075,47.26836134358782,49.06899608675782,45.61511674036633,48.41699026448491,47.328391937212714,50.99733613763384,48.80909310938465,49.022381989809745,47.11237434000131,46.21904204690593,45.629026842518826,42.464387711191286,44.95923273021077,42.06081002605517,40.05662276758125,41.8877733026202,38.623893971053164,36.58666111053163,36.02876473661022,32.484328946910146,32.94608913301729,29.26958900176912,30.88217555840057,27.115250824338336,30.76001352261971,33.79649469350719,31.38273599921241,31.75941606125911,27.38766368228562,28.97324458538789,31.151496106917214,29.327968432305518,33.20716900763419,32.84938764139553,34.96063184352071,37.50846386283696,34.881789882831676,38.68072492754823,36.04260234213728,39.3441886037932,33.46566363264481,31.763461562799556,28.672054415109454,26.67412351468541,24.399381714827662,26.26808745861868,22.259054392592933,24.55359249877277,28.08039776869793,28.747698926629557,31.896419877913353,34.732328484055245,32.74994559514257,36.03272640115663,37.53523076542654,38.66921944059198,41.720612993963414,44.08915076169973,48.75196010804441,50.920447495770084,50.152774548799634,48.72889517348502,45.00780931751397,44.76195895146281,42.76321298760304,40.92580775291467,36.21197905945317,37.46338122199074,31.836942154650167,35.648638083237856,32.2382163526711,26.988673744083375,29.387780859034223,26.73281831344505,26.26588272430965,24.746268340510365,27.991761110242045,28.43853018210112,33.14665724161764,36.70014418284231,39.65608235360789,43.239657449508954,43.120595134234776,47.68787764968783,43.979841439025606,45.08845534555156,40.22401962046456,40.2844443841196,40.52122888398833,40.09042779170355,36.96946534149709,38.122925204209814,37.29704864698773,38.04308891040173,32.53529506335354,34.90726105308771,33.891214122781115,34.48954571295798,34.09043054165195,33.96848379152625,35.673069962034425,36.29914525888205,33.93502477155578,37.555990868686514,37.200081214690066,39.254367273419156,42.51352814626271,43.95932209064389,40.233998731002664,39.769862791681135,44.20088624903826,42.70807928652956,37.654821491594056,41.930914093780316,46.62369663251833,41.992995584056516,41.57854119033965,45.54905285029448,45.44940930674506,41.68279129217515,43.625999342344144,41.13558847508626,47.05402250053584,41.8184981245319,43.456736657836615,47.680999372811854,49.828696834678865,54.50261132729923,53.95890706367588,55.78177246400947,53.22697672552242,55.049309014474154,52.75787081637976,54.23951302684882,52.95045516195555,47.59558968418021,48.90567578549411,49.81756090154075,45.897466290190756,43.809741521528295,45.031390773558,43.420050713526315,40.316112008636395,38.614971453165346,39.483664292494424,42.58735938673296,46.19145394905729,48.35631709364626,51.119727928950304,55.49067899149461,53.214004597704815,48.825636934495606,52.712881522556685,54.509702495416995,49.86642246438146,48.9696499339141,52.90622361863444,52.16492698675757,48.680104803131016,52.63600899257747,54.63163800993583,51.22885233943679,51.03125956125076,54.327699285402254,51.71064882716016,53.47277611510112,51.46689732170392,53.24780251779188,52.603351042164036,47.23706835470776,48.43287546895126,49.029753689932704,46.47293544283721,43.24910503014818,47.11391379993788,45.68395811833527,40.875546146784714,40.88149568463856,44.27014869116131,42.301490697127406,38.732276458230345,36.02913300819085,36.517897472458344,33.756491592676916,38.25635443700515,34.813128472118926,36.84753429063676,36.13173344098163,32.32425404500879,31.697010257214128,31.021478865232673,31.187188164587823,35.26764983319781,33.43125306271977,35.51934223439915,33.68191117802511,37.17005289851686,41.869418076488074,44.93988014549694,46.11387744360799,41.181268353746205,42.38239897037559,45.74503257321852,41.91527202094466,40.2158768049868,44.4751661118824,47.80426825128316,49.39962460016259,50.35519957106419,51.377128334287086],[38.97562269224613,36.16780565345195,34.329179981240294,30.015498934146734,29.43414609686853,34.48318489197427,34.09192019279626,38.480519050213154,38.234482657234494,36.41210323072087,39.5164311534584,43.100670533943976,39.0449918249523,37.07675056243214,41.480979779028154,41.92023571716741,37.37163012417846,39.32795020413671,37.281182307989276,39.04388725420778,39.49096065613561,41.45897774609657,40.120941305120645,36.90741423517268,35.68719239508433,34.382320112784434,34.52605476728718,34.467990554611596,38.54809741611354,41.278817558552845,45.337949027984635,46.42394538465627,50.69395420729002,51.972893591699844,48.51744885385895,44.61477750465778,44.914314407785575,40.99663529290205,38.27764084066217,41.69759881729156,36.267637394113244,38.8461787394778,42.02116976603911,38.92895613321256,37.841764842589576,34.66026863317529,37.68988539993992,40.040724792471856,35.90566914568533,37.87285290514014,42.434023424639264,43.50985948749903,46.75797936191185,43.71353503330674,49.74072846227139,49.859191065362566,45.89728949363855,48.55753667183055,52.347435012055115,49.12365705831825,47.502549972016965,50.831250099811186,51.203234043994,50.29709522345448,46.75654659755426,45.4826443516557,42.957765609796766,43.17627134295973,40.19723152838904,41.50722475078615,39.42875808804304,41.50421076213507,44.381332211975135,44.90211514449895,46.38095477001072,51.66066276457067,49.34107448482554,53.74886644552454,51.65805307993559,50.53812254352204,50.213933720294555,47.59914809387236,48.112238319789725,46.04175782350801,41.85024639585093,43.48671120856319,44.318696409486805,48.1843656001417,46.504720823031235,52.173926949006805,49.94937859984478,53.19908042829111,51.61056402912367,51.50705838049555,47.61950121656152,49.40995376067791,45.777130042805965,48.40737093121133,47.035745613557765,50.378544940897974,48.469019534545374,48.25702057954608,46.68131902248175,45.346206045154226,44.774611014462195,41.29706402773544,43.518362862621515,40.49312233674049,38.27169619173288,40.3284977797038,36.96921203109655,35.37157807610758,34.91323541610958,31.64156771408471,32.55851021296113,29.07669852391031,31.14761006091056,27.668516573997046,31.878100708196488,34.502084678174526,31.981912625339742,31.944248459454453,27.381902341231868,28.51968082721213,30.26216776861148,28.25070537329308,31.546139725632845,31.41612388868574,33.34969431440437,36.16687801777207,33.169319168937555,37.01309070777752,34.67815552281974,38.18980113471937,32.3055597377677,30.68408608395504,27.063969603499448,25.583004436867782,23.643203376416146,25.963748472571705,22.625757525032427,25.431729804101824,28.875101465845432,29.08440928663991,32.32524772271939,34.95771252860935,32.72127709134486,35.71927774102962,36.87121817443587,37.82126638625678,40.559232947041664,42.98747912279926,47.55619147763929,49.65691194812225,49.21857060810565,47.87749594132453,44.31808542262572,43.867305138914325,42.24867800015984,40.09716370673589,35.62134439852122,37.37421420302626,31.79542895196287,35.77000538014553,32.21160774331488,26.898159894064207,28.925332053856984,26.374270704866127,25.34080656070951,23.93277742197338,27.070729695838054,27.77287820571608,32.69018543818341,36.282446012645146,39.35385294846717,42.78731408575484,42.8755737218156,47.40875431320387,43.855790997402956,44.726779592694236,39.9225431240099,39.49868540791065,39.78897709119169,39.46930242288365,36.4677043956626,38.1771253589271,37.66541547730991,38.51937926856264,33.25525435465972,35.216345758376136,33.937404459411866,34.287133161591974,33.42308978852443,32.94380782654584,34.35729985958169,34.61595068548379,32.06616471207673,35.50141739763124,34.84030488936563,37.07788307952415,40.05093704463571,41.645054695838276,37.97131964746761,37.144941241856216,41.54799487091584,40.191665237511536,34.926468344653756,39.05575984366247,43.895990025930914,39.30074717836098,38.670174700160416,42.604754106005004,42.71771918786301,38.87355590310391,40.5628966660407,38.000339842341674,43.878783966106724,38.46111743375356,40.26381501113009,44.47695114332493,46.59121939318098,51.235233489153515,50.74002665562285,52.7264017765481,50.29872144806897,52.268945556809484,50.180929010893564,51.65254855585844,50.145357652078495,44.87226899790908,46.39367713365207,47.18703606934189,43.12267747137241,41.22626081684686,42.64005011261239,40.73560732478273,37.529616526324844,36.26870900705057,36.91931308816813,40.42747138268842,43.93355716273401,45.946798746070364,48.905890405500244,53.1873081378405,51.14000043156822,46.61770021617654,50.28484271502218,52.271650813742994,47.70536719336685,46.52685911518881,50.46126081367576,49.80568798711087,46.173411791271455,49.96821875129491,52.027417412005946,48.656543247500515,48.22977860743058,51.45752282042715,48.789729760896385,50.61831837262837,48.76057718212815,50.4412592021102,49.60750622261028,44.32944728701879,45.601398521887745,45.98587584137794,43.37568853451222,40.31087491714265,44.098204906634734,42.44327880778363,37.70120475072327,37.88438843778467,41.12496673136979,38.973301553366696,35.42418998828883,32.72637200004734,33.027808052444115,30.240583032786386,34.77705327370173,31.490670637037933,33.72452309971121,33.235759971703025,29.243580317972555,28.622943839814454,27.777582346193125,28.154050388417225,32.37695288369929,30.91246017829459,33.24281561627898,31.666629491739265,34.95403100131456,39.85626053288901,42.76706365630516,44.22107771810922,39.27611117178665,40.13193765998313,43.62992702771336,40.09978148583691,38.028408988077544,42.11208305889008,45.5655621004912,47.204472738962316,48.18682240003342,49.174840168852846],[39.327791500309026,36.7750512818453,35.46812194122262,31.01431818941391,31.22501383576472,35.98632158564154,35.91428448009538,40.41674040365152,39.922562201954555,38.3185564956641,41.34329456564642,45.0500517821324,41.33708548745607,39.048789008722956,43.613699882541155,44.328290848502924,39.91056101505969,41.97726300364095,40.010787629617546,42.097055457013276,42.57585191783701,44.803996414489866,43.389388890004014,40.23325230424819,39.074168299364814,37.50257545338349,37.77474960289456,37.47415227953156,41.44656873366742,44.09053256280492,47.87658419447836,49.103484455055764,53.29377229069627,54.73319483738288,51.4338445561923,47.580283179981805,47.97509568463509,44.27314175066751,41.71527436802938,45.42002062037015,39.94765932261629,42.32156301392926,45.64367713592352,42.677543497791596,41.586883884956016,38.51376330421921,41.598180645571965,43.93183938154549,39.856644732741294,41.96437335131389,46.47981435077685,47.54484825134446,50.746032173067235,47.57994952206222,53.59769016071247,53.73115902990545,49.680841453003154,52.19987418373493,56.04758732419786,52.84729768656156,51.02653278137659,54.174725883459615,54.389007489248115,53.433737394552296,50.02242046132158,48.71318099811874,45.84890508315857,45.95345309113983,42.67377587410016,43.772946100944836,41.5367344338935,43.38037697281591,46.52386667562132,47.3197375687483,48.94132503932707,54.33750913171267,52.31178083593069,56.72201538853452,54.825897836701685,53.911479086616076,53.63144211609368,51.20784864343904,51.590611850295474,49.716959028838716,45.512669952892054,46.935509299529514,47.732332445098194,51.45652812877893,49.646254296956094,55.17076864357161,52.73688179522916,55.81633494756099,54.0821996649381,53.92678323283491,49.936874426251734,51.475236589561305,47.74258535085485,50.695304979731496,49.27734984100445,52.562954574662704,51.06371722340329,50.8827144782756,49.619365288880715,48.246862468036795,48.01002774942972,44.29950708918555,46.51100631532353,43.54982320594428,41.0383157764517,43.04320562403509,39.42738950754334,38.094211458107836,37.307270393254775,34.275530352149076,35.0390973174455,31.69124583394781,33.86421240322356,30.491968541125424,34.57419731566606,37.04262380918495,34.27953923515517,34.12140228597202,29.57340030421583,30.682577254297772,32.29138406558233,30.73438436591375,33.73918147433443,34.102410108519294,36.14205774558324,39.28581052107935,36.25056362305269,40.22207150334862,38.15872755618906,41.64197564090593,35.76850818270248,33.94716477676938,30.141014129286344,28.697591816855304,26.646679183642103,29.185022568428707,25.94705006583326,28.987722830922003,32.1976456919211,32.3559624906441,35.74008701333107,38.10284903682744,35.758144156616964,38.565569491728546,39.675849247247925,40.25347346753499,42.954881609250094,45.06156183760313,49.73802520671368,51.41851278570663,51.15178860880643,50.130931779835485,46.680366321667925,46.416699417421896,44.96178583826494,43.01365513140185,38.79470896489746,40.63618453382952,35.21882329174548,39.35918909955693,36.018576165147465,30.728934107794185,32.82802125835511,30.41942581389396,29.19126317904257,27.669459900866098,30.7163285616253,31.290954310608026,36.31091989347672,39.82848619937511,42.805449001490224,46.11027491870617,46.0205427786416,50.71524188763833,47.365170322823765,48.256120600959896,43.615472804616545,42.90943763006551,43.474397773582965,43.308361241871346,40.30019477338128,42.121204477626556,41.52571116173277,42.57081023094671,37.33441068544887,39.34882939035862,38.08811650237497,38.33121278269942,37.3840303742496,36.73828160627586,38.0051198158091,38.05968453504532,35.28931324654113,38.5358748054305,37.50241704830112,39.7239631542932,42.44648167356551,43.97950287537881,40.272269543923244,39.18083799945377,43.475855339344285,41.99564975366356,36.5046572774172,40.533225345127576,45.37392764421303,40.520386203223545,39.66536468465615,43.52114166728489,43.61555038845029,39.52146350760891,41.009247340878595,38.59565313747704,44.48157536046492,39.14747664934054,41.31847625076311,45.46975083763364,47.79123030778175,52.28142723139545,52.089031457137004,54.34566468639296,52.16319547423296,54.378875536847005,52.512200087313076,54.09841862327525,52.32600777537388,47.10480135240727,48.93439897636781,49.68034391745284,45.42660449540288,43.7556614073182,45.43601233170508,43.22773534247432,39.88191537220262,39.14390664998252,39.425020282174046,43.283489469233544,46.699475310074426,48.42036812693004,51.518209656380655,55.63459165883234,53.710524005870404,49.10236092492532,52.45361021941225,54.48516932263865,49.92975989442346,48.490809599550786,52.249625071892964,51.503269848835195,47.73649965760125,51.466015322646626,53.38842997466716,49.82516034956888,49.34087236609967,52.60365398179498,50.03899828297657,52.14219706328104,50.57830692033202,52.30161050973963,51.09327891475711,45.8848829425086,47.49398464825428,47.61247870361076,44.82480136672689,42.131982514931494,45.9430853253761,43.862867032842345,39.19471237746989,39.82742824176535,42.85590125041285,40.31231243723345,36.78473056837547,33.92894733974922,33.91868143967011,30.84433693477646,35.268736497259596,32.08017741615447,34.73885872070509,34.18258018047533,29.937281384974334,29.746825979752515,28.955000301977357,29.837090739523912,34.20722439567342,32.97183799236366,35.69707386560886,34.03686345417048,36.91406346456104,42.07743426768789,44.8091625890851,46.34168499912407,41.226941340216044,41.758031970990025,45.17117803966789,41.7163534215346,39.252180835970485,43.25684497962875,46.625332006227914,48.24431691315423,49.2075628266032,50.11266806754347],[36.042840675830234,33.69705504348025,32.82809883694759,28.2316050291156,29.13896005981532,33.534473311296594,33.76835855840666,38.34398837667621,37.682705857085644,36.40186437344249,39.39886381895767,43.128023500513684,39.841509753099075,37.37433208748288,42.14276884324616,43.08508164102766,38.903009418904944,41.28358602826123,39.72970960339762,42.060051196367816,42.867098520209446,45.43110460740302,44.193944373337686,41.23697725285738,39.82756557503906,37.84001642412464,37.94966927142057,37.16908321188497,40.90101287727459,43.27112105201055,46.93226776839141,48.075400660072305,52.20893556135137,53.96257671788578,50.802460582617584,47.11426136202028,47.42473354420534,44.18614039640598,41.85411709576407,45.96617853908238,40.60524929429604,42.8386202356811,46.4243308266283,43.73080212253802,42.959450677661124,40.103576209984645,43.426174597052174,45.395631801222514,41.1979033702497,43.670584069924125,47.99260461107056,48.85126792194814,52.00659590457482,48.491876342886385,54.47557635794895,54.88789798682032,50.74119619530318,52.87664837974069,56.92929260063469,54.02808595303797,51.86768751894007,54.75007055917484,54.64852472193938,53.9431570229847,50.65555740400744,49.03634799278073,45.94695257907675,45.66853106901037,42.21866490867071,42.89665361102348,40.65933761152124,42.466500505818416,45.7008336012464,46.934625628834404,48.3973704690653,54.01630187818109,52.21276841050611,56.51892819329369,54.78517865787512,54.14003980617082,53.69525075307,51.52309885027795,51.52898513313752,49.966155737241245,45.797532561398036,46.90236556107186,47.84275461998803,51.24425519717188,49.50152540586209,54.7789771260421,52.209036633889724,55.21756427387374,53.21269585167375,52.84264831916674,48.68270315110992,49.99060086596387,46.10950931686285,49.22929912544722,47.66168990150704,50.7638496411496,49.76022339815747,49.50404158273023,48.678915591181045,47.1937555628371,47.419136032300074,43.40808833097234,45.64188652279008,42.84702458988454,39.97855744233454,41.823876935296916,37.92368063004649,36.88936793794796,35.74177385089976,33.0513140502697,33.76705768115265,30.683443816073122,33.126441817881044,30.08354862079177,34.329468476774245,36.33493233309408,33.3333800012558,32.83753984608248,28.295745502408625,29.16114680820222,30.47908728919189,29.364199066777033,31.98868056898887,32.90754194192865,35.09798438330524,38.635712202732236,35.70981397289347,39.88563844899923,38.22300819878167,41.51452075144153,35.70323909348399,33.53148553636919,29.597276207142905,28.137913031852086,26.016086478266324,28.877857394768576,26.111515563458823,29.673267947993782,32.4569109341846,32.29894744475742,35.858889106036635,37.75203362531014,35.20454912817681,37.65527111651615,38.61163126121753,38.738563973558286,41.33159505251829,43.103230553942005,47.8422820728829,49.11344317483498,49.05435148825605,48.35455263953665,45.07257173112659,44.96356032619484,43.7789431367018,42.02459089569114,38.213828405675144,40.278150214011205,35.16219396612801,39.55407692533809,36.58111717100683,31.39756477829177,33.610010932551845,31.666718539886133,30.052770529801048,28.17918371391049,31.00720739066525,31.3112703242578,36.45791680032757,39.81680380404709,42.63554115933392,45.69457882939019,45.412637164594116,50.279999950331984,47.28875662197824,48.158174070230466,43.845236091698254,42.6287649778681,43.70395511130666,43.88510634909337,40.848095012988196,42.94218519137509,42.26571235681879,43.79659475458362,38.81561253410341,40.8137333070139,39.657166752787816,39.46082198512335,38.42528583575689,37.449247093344084,38.52313475586619,38.422639600524185,35.216789906919466,38.22460646006949,36.755526951295195,38.72734384240044,41.29917560414767,42.57469347784956,38.7965526022762,37.63744078504633,41.787856473360605,40.02993353047535,34.460456123560704,38.49058520197737,43.17053795818899,38.03353617236086,37.12291466084937,40.918541856234704,40.836793479996736,36.594926561934045,38.105771127240146,35.905393603453454,41.82483324232068,36.89027456055136,39.18750602775027,43.27121201787936,45.95283133479733,50.27752092807411,50.48279731761964,52.815540246982884,50.80159820750326,53.20467165370725,51.40551906043929,53.30106575648693,51.40353458676735,46.07189026238851,48.19632495503304,49.190360420998715,44.77088151010728,43.160094872962844,45.208852399366876,43.022834159959444,39.41983941209974,39.006466582769214,38.683236064997345,42.68266057473042,46.0350575896011,47.3444511802408,50.46781822254197,54.37611801777516,52.46118836855969,47.83026043823955,50.87424515790639,52.81847065322516,48.24509311819554,46.64885311737539,50.17990456152072,49.28351297332778,45.462757083709505,49.218780775651766,50.9427094945304,47.181568516864786,46.79110715889612,50.14073718192156,47.745982796382805,50.105752760077266,48.77421784522364,50.69293907801279,49.20309711805638,43.970673732899044,45.98499093653136,46.04795401647519,43.07014123429563,40.696046688341305,44.77624920545634,42.46206747395235,37.70697368829967,38.82375397376301,41.939188791258985,39.14696510270139,35.50610881416541,32.278992922588635,32.467535565412604,28.97373472665359,33.09772213618808,29.68144646530494,32.47608368444632,31.61419915126493,27.333882638750094,27.58169526956041,27.13696276206949,28.37263926302755,32.71311924568455,31.39624004328307,34.48713570048919,32.57139870097048,35.000092872103785,40.359361045760366,42.924151812479735,44.44633667450421,39.1787063153575,39.46002105495354,42.73155929102395,39.322458725668135,36.57317756049732,40.53331065827585,43.7873318693619,45.39072362474414,46.363744288714486,47.2389737975425],[38.22641187614609,35.96512251308572,35.263348815657984,31.012044642693006,32.15736988545547,36.785721774993746,37.33992743677005,41.95581460210297,41.48477387087978,40.45498825137352,43.51873476331659,47.17037691032861,44.00176910801714,41.62805061397296,46.45603693589305,47.375846864143504,43.229146956547744,45.680880809474985,44.15353259377336,46.39577650130014,47.18509082906993,49.629675234199695,48.37277878032546,45.33649338203345,43.9763870635031,42.13270892827386,42.19115405601022,41.46731708237634,45.20537419491125,47.5091015016555,51.31012498820151,52.31073262024038,56.486902500580214,58.302732614655596,55.08751985363863,51.42346029538484,51.601488324317366,48.370732481102834,45.94564820906378,49.849398410242124,44.55893660772957,46.97311952758495,50.45900812845765,47.63358786957489,46.78940702176965,43.772536894365516,46.959220497700755,49.09207804474082,44.835102202956264,47.020160261779644,51.475926731379914,52.352559503358975,55.61925370343285,52.25701408787624,58.27120319255876,58.68072740715267,54.62587426956111,56.908737828498566,60.915810095006044,57.945253666290206,55.96514108466617,58.97040361992346,58.95712050636611,58.22883228092957,54.88598251679472,53.31744674925237,50.33046495602022,50.09018513647515,46.68336120559541,47.36363806315856,45.13659774331352,46.92906840645664,50.177146311965636,51.39913891361852,52.85368607378923,58.46324380533588,56.59521675280471,60.89920511776492,59.09155582969445,58.35195943114901,57.824847302297215,55.50580580726806,55.46903782734482,53.73354090435232,49.61582616169675,50.90171598463602,51.97658473333544,55.40136128713336,53.794219939597035,59.10987787448046,56.60811494025752,59.662401832013614,57.646224276576206,57.228302231348046,53.03396530699666,54.33593821084923,50.411481865431206,53.46286975247546,51.784907529186064,54.70710572980719,53.81295304234102,53.30289241662067,52.59735773661553,50.840805693484576,50.90280146867347,46.783422482456054,48.72295214876134,45.75053233458834,42.84526669428237,44.96677609113831,41.111199536944575,40.40834500007377,39.44279269461045,36.906301487315716,37.89448828981344,34.88210806500313,37.436489140021784,34.42373209060163,38.74944367096326,40.75759506248189,37.77193701104985,37.203012210863555,32.63220104839618,33.33493610111097,34.430965823221165,33.14444090026327,35.32102012099071,36.29270900293581,38.22207486040397,41.80215049366856,38.484280685829916,42.52096982264039,40.97067371268058,44.547087362536494,38.778402358085984,36.90200239355709,32.619914546039126,31.665666172413818,29.853545888012032,32.81664804382597,30.203979497225767,33.68571681251001,36.632238113938065,36.425779793042814,39.93093456088842,41.90658608458678,39.32079317806999,41.70854399633604,42.48424981314553,42.58865375783075,44.94623459145978,46.789410860472806,51.413646598840074,52.636593893173746,52.81777258638111,52.16358421107127,48.98933833742604,48.716269452163964,47.73737054949161,45.72666071028481,41.97656889722704,44.25543499470354,39.07583457907436,43.407609039671314,40.16055854373237,34.923265579594045,36.76587805842587,34.57621868974596,32.82113229752716,31.33990218177041,34.16317916488086,34.823784834293434,39.98552580247728,43.42465663987624,46.38031577347413,49.42492107858853,49.3585848104928,54.110323195949825,51.07882387106144,51.78824133102496,47.37111673769405,46.064253479893885,46.88397505727227,46.92807202542451,44.04483244259607,46.357249281183705,45.94051267053103,47.19794186461502,42.19377602897526,43.93455038056919,42.504288645616725,42.485162931419865,41.13416095189328,40.09423438444182,40.990930477986645,40.575106073060816,37.52787404118897,40.384242483070594,38.778992494548355,41.10460874071661,43.28796874289018,44.87579347448225,41.25537869707046,39.606238570955576,43.68792159334273,42.24909166152487,36.46170096589787,40.15628477273749,45.052743943740545,40.07258382525242,38.79777475307775,42.463825735469165,42.75128843397945,38.40583725572246,39.394921135563564,37.10964361058858,42.85210964425003,37.50905844212189,40.18620901309561,44.19136930283435,46.65046291634405,50.89987183820937,51.05447887405508,53.71176823051389,51.91610024590955,54.47961033773117,53.034519826923095,54.69538940214192,52.49145233710269,47.47006168377825,49.754011454343214,50.33149309741112,45.83165611272043,44.57843376319375,46.6446121989466,43.923995623377095,40.42551275226971,40.58086416318997,40.33182725366144,44.79539392973221,47.98883693322808,49.283627682807605,52.646274038358904,56.48402317943709,54.90327163099439,50.1534468782038,52.96892555332055,55.19457733411243,50.77635662093505,48.855559602778456,52.39724946623012,51.65586593140669,47.67338413761749,51.13318434847778,52.961595452499964,49.28857622549997,48.529492754068194,51.716262040978116,49.23522593777299,51.64363808487674,50.52462569155038,52.168721194322046,50.43144998119359,45.45335539075922,47.43326216188097,47.08674123708418,44.11799033311182,41.99070586105633,45.6781218522148,42.99553953257133,38.56038663098539,39.7881391453964,42.40353068146991,39.33908572628702,35.93519601939048,33.0051812114216,32.47196159795202,29.158388201921316,33.381934644814635,30.555553688886423,33.790269272919076,33.41340186275539,28.853326896881143,29.11932702336657,28.23542406093057,29.8010051050293,34.30911106936849,33.68114436018437,36.91005852779044,35.45386177244124,37.7046852503913,43.18047876654051,45.55519432150975,47.39230984332219,42.19737031258889,42.09950218791442,45.49699128333359,42.451516626498744,39.32288773096622,43.00359277515047,46.34779947651952,47.96185605637898,48.9093736068986,49.68639129199205],[39.46789130112428,36.84814817219007,35.465346097824494,31.480851174212038,31.68484938333649,36.90795137225285,37.18067446781254,41.72607245279666,41.64563143701343,40.392351120612155,43.60685418323531,47.120989616051155,43.502133059995714,41.529398365002535,46.20032048717924,46.76744987708204,42.41417598186617,44.7157521386528,43.00355253583189,44.82231919287419,45.4852729949696,47.52165643828644,46.28554682834969,43.10115493751485,41.773493467017914,40.36885257902387,40.316141776575876,39.97920211268853,43.903122487644204,46.344944310544804,50.54224416574644,51.358203237768144,55.668931666295705,57.25990814439128,53.80924493960803,50.05135466955863,50.0906158120426,46.51245154913753,43.81697402740595,47.21683082872757,41.98639091997152,44.73174081168294,47.94541533942359,44.860470915622535,43.90233805763982,40.64900371187099,43.63216257424472,45.955024907268175,41.65200692770316,43.431983306227906,48.04196385823983,48.99288617230438,52.37152718119869,49.31636798882979,55.35503628357713,55.67050977187906,51.788988459886845,54.39305136064904,58.25579899230924,55.14724235287781,53.56030131282747,56.88345559129263,57.16506153040527,56.40531768023341,52.86876167566238,51.44673481844896,48.9125781776346,48.91034321251609,45.861686737625114,46.87697635598596,44.80120928126479,46.844305056291724,49.819804342706135,50.63531307098323,51.99109396859614,57.42638267012792,55.15921755406308,59.49531954071229,57.40197892383466,56.32767666677293,55.76039097321405,53.09965209379144,53.278287435597996,51.16506252353563,47.07767374568874,48.761438907366696,49.903374708621854,53.575650831630774,52.14923063579948,57.70942322363947,55.49090059697179,58.7703487165722,56.97433789541245,56.650301166956915,52.579249273545045,54.21578325071733,50.39774857222196,53.04950165217627,51.405132141840795,54.376676723667984,52.9482111113438,52.30464362772917,51.1987859752523,49.374589899739775,48.87166553180455,45.01136831204368,46.81394357303637,43.62047901282249,41.089138727557255,43.4644591888668,39.95599964437547,39.049264889370725,38.6046997042298,35.780410535085664,37.07601274637254,33.8696806258506,36.33071008997191,33.1296851338564,37.59910843224663,39.89175017127857,37.194749887766854,36.795747084891204,32.14246953476071,32.87181070487237,34.09427135205425,32.1327431113786,34.523093487069204,34.86691586912807,36.53059654634351,39.70917357506422,36.172881007121326,39.968458678821456,38.080914057620774,41.90624718660378,36.11506558512018,34.683396267214924,30.401910685966108,29.681288284337374,28.143734431474126,30.899725905816798,28.1687848664976,31.281003282666116,34.62683510906969,34.516174990196745,37.81635536554052,40.22096653958619,37.7654409207593,40.41666814152755,41.19149858168898,41.79408649788115,44.12719910567,46.45631136979985,50.925843108174064,52.71253524092398,52.7534852571242,51.677603659023376,48.369393957912,47.775828002461566,46.642120202695075,44.23090584105824,40.12025232304578,42.369644826422196,36.90925784951358,40.985826768992226,37.2841875628164,31.976903576022174,33.501389701153464,30.924779525186267,29.35694332458738,28.30468170247401,31.263941838093142,32.31785605320774,37.36515404380923,40.96620291488924,44.13605506999554,47.37696746116597,47.65631908014894,52.14506516456853,48.779598668513906,49.39118096440808,44.659132266928125,43.72739310706382,43.99096760913722,43.70909900104115,40.92674434107096,43.17751498734246,43.011608041003264,43.79864874524609,38.71228380897917,40.24482866657743,38.612562593220126,38.91179653922973,37.4813995451633,36.65441502668442,37.64921894844943,37.3045370494658,34.67869044208393,37.73740536929335,36.57247859108416,39.19457857346765,41.5169325311998,43.42030672909354,39.90448696517438,38.30886328073138,42.56460430637408,41.49012527254382,35.80729156263401,39.50559413252268,44.606124705094736,40.0281217725073,38.848960358576356,42.611786155006435,43.14461307975067,39.03831038733054,40.04503910687925,37.44445385447445,43.15892958302133,37.331696373872795,39.741032691703914,43.84861938001478,45.86084124679708,50.34624630414077,49.98733662782146,52.47990608494784,50.44063137669466,52.75860278933366,51.21010090963786,52.53435807369527,50.50221439376743,45.579865178015865,47.522357144708934,47.86188173769291,43.5536310435039,42.20473234743124,43.885577084233496,41.18813359445826,37.948033564543806,37.73488393255817,38.11109150845994,42.43072903299,45.67816345460323,47.42415827291484,50.765493040569176,54.83532445999924,53.27303418031901,48.53995182141041,51.70650111562659,54.05885927966345,49.682625682389855,47.93104157729381,51.77158000966136,51.24682335242169,47.327811849262886,50.743554613821104,52.85287352677681,49.47503139015997,48.57998169565527,51.64903091104704,48.93432921666099,50.983587805485605,49.54683524329327,50.9581174063719,49.61117316947813,44.64058762110107,46.105071844119514,45.87773150983265,43.153936010390815,40.59350926429336,44.00610997448843,41.68487818116796,37.29777571452352,37.92062771069534,40.52478555950527,37.82882282038481,34.509225865348746,31.988683417637137,31.394625173720936,28.59786360540556,33.19126791972653,30.541553350499893,33.48927533346972,33.501534020278264,29.03077531517106,28.670357383687147,27.384798170686018,28.453540658444457,32.97146874395495,32.446305862780626,35.25185758319115,34.17285073309829,36.93594665197532,42.182838664122954,44.73352096824494,46.6509162203036,41.67688669930603,41.83541057290053,45.4620800793366,42.45124469701435,39.637864915044645,43.34368465222161,46.89507691107203,48.55732861421728,49.523160261617505,50.3655547272189],[34.11388292590078,31.37555992330327,29.826907226813123,25.803974889057052,25.90380899344784,31.15094719478694,31.46580765769171,36.019904220819406,36.07041507876867,35.00210714176666,38.31844024084464,41.70983663438395,38.229982002236426,36.43233165344318,41.207912472029925,41.734425378323,37.530896733765424,40.155681725051274,38.92543742193824,40.68258091107715,41.77294013949552,43.96306219165443,43.06954088474578,40.09393508573796,38.338648452311595,36.671272712421455,36.2206058280068,35.49533809216459,39.223046083262076,41.383886257964804,45.784051143118695,46.28873164187713,50.63946497842649,52.475418232797736,49.01053820499406,45.41828773292224,45.20372958704402,42.010470548968094,39.42529355048394,43.05715060415722,38.04035096952325,40.84950810978709,44.259210594446095,41.40756368554497,40.911915175763,37.842128340281356,41.097888503598746,42.91624883616971,38.36327838961469,40.49828375992254,44.881191452192574,45.54681362759995,48.91911316315247,45.50935949383172,51.51744675862499,52.2150797434824,48.30349395892489,50.53781213551619,54.62236434324787,51.90722205807881,50.08515487066007,53.2580469945455,53.29340437169426,52.94187722657578,49.41817889533068,47.60408392358441,45.17372360407198,44.77797838203395,41.86495722333675,42.56287605120712,40.68225665234149,42.971526559268504,45.741909831290755,46.8161376584435,47.776036220638,53.38208608342988,51.05249794511645,55.24444273488476,53.13022702384348,52.17570462730211,51.31370732935215,48.762651019609756,48.556643715770214,46.63056707829531,42.60302721498875,44.10997997459015,45.518108337539765,48.91332168784442,47.754558629908004,53.15893325956553,51.01374555279647,54.4162881524754,52.42475674949844,51.86409880958969,47.67480608840183,49.321286572652674,45.41296178518775,47.87732175822555,46.06630971151188,48.85137144532346,47.586913714297026,46.76866333304229,45.88846114914056,43.91461156874878,43.632697208275175,39.59453202512714,41.43419467445494,38.35761518999378,35.643581458115094,37.90586663517484,34.28506500139843,33.49407923036972,32.98283160291435,30.327528847471434,31.820879764033513,28.80791481612754,31.571820789099192,28.703189768462025,33.60036166050687,35.4375035239737,32.705237926380505,31.968377776556693,27.26232954614615,27.648349280405206,28.600015211193636,26.598979936115928,28.784800462279225,29.2950257357696,31.033600293456843,34.42259756410817,31.012588790031025,34.995227847585774,33.35544254613498,36.98673275450379,31.220117809119937,29.52630561009325,25.16414531396072,24.44254938514373,22.981753172445316,26.01687715272292,23.89776233929674,27.518587615920534,30.541316440021173,30.01309865059816,33.4025233542365,35.47455070262443,32.839201561430315,35.22175712604936,35.80581163387345,36.24982664130406,38.46623651938005,40.77819503720864,45.21292589309528,46.995508080392874,47.118775875992284,46.06600314774073,42.84351817888301,42.20057941771963,41.25543789005312,38.81186505127006,34.94179220662545,37.450529131569105,32.19435709868034,36.45198823837178,32.98688819852191,27.77980933495145,29.355033581737146,27.297412384233603,25.320155035497176,23.88143109664278,26.642640719562042,27.49924270566628,32.66032967877265,36.14901347813066,39.236427860525914,42.29523651956328,42.5447808224281,47.087621755688616,43.97063080484538,44.51461084763838,40.03086401538849,38.68169039057137,39.34044114462115,39.37864046251655,36.55660230207588,39.10800555716855,38.94389778684422,40.20420484366956,35.46394657828214,36.89329838566534,35.38148938797141,35.14724498850365,33.65502265339317,32.510936327533045,33.388396169264375,33.0426983327867,29.993851654265285,32.969445916376856,31.603428014258142,33.936918583174325,36.385666440017616,38.034190885369,34.416026368023594,33.02122595397549,37.28188652302971,35.97359991234148,30.36902433882938,34.265975062028254,39.224770683997704,34.54123529690509,33.5578928301007,37.40203853692843,37.73879152467614,33.71363325865683,35.031207842992636,32.468236264582735,38.3080398693658,32.82996296024766,34.94971117976713,39.111113868912255,41.382640641852966,45.89475829011118,45.694072141028016,47.953515308595996,45.80665935341563,48.0929000170224,46.3361955561986,47.97403746887782,46.08899502723434,40.87957782062907,42.87428619366544,43.64751403201422,39.291680332372216,37.7160208608022,39.623549382806004,37.32604403880351,33.82852260116215,33.421468148371986,33.37161469726012,37.522806980505216,40.828319275501755,42.37212829952723,45.609214542754,49.62905699020829,47.91417910776037,43.211280451241315,46.37677646471785,48.575245357554415,44.124898367708774,42.461625221770745,46.25511190585458,45.64207174867194,41.779660654966136,45.347524629250564,47.38762051249341,43.96629721396369,43.25735946603931,46.428684339570424,43.781726769706324,45.84544003309503,44.33248399846743,45.97880869815719,44.715183564226834,39.55563505965407,41.169349651165106,41.21469024462021,38.4175419702332,35.77659981202076,39.60566652818847,37.48614813956008,32.78894565225082,33.531822155570666,36.603260626958736,34.03207459234302,30.440957587129645,27.520964643016217,27.661579204797476,24.566536775603222,29.00411683576484,25.816664929739197,28.439726012674175,28.13912917554629,23.8423311428185,23.4723337657425,22.555858194202795,23.48790294793455,27.90204216763022,26.96953571498622,29.861863336483914,28.540449853658558,31.241420796302005,36.51272745787157,39.08283858084915,40.92682527380305,35.912007455706224,36.125221184328566,39.726244229153906,36.67752087733223,33.930704124389756,37.70941889615516,41.26896252635334,42.9562880867117,43.97252353290143,44.88964514234792],[34.01465306932925,31.626059810722662,30.78470460709391,26.865067356357986,28.002130438436353,32.92239179549189,33.77358451672981,38.403391568274614,38.31950635517301,37.68590660625379,40.94257878756498,44.3539639673155,41.370932314329075,39.3532573311718,44.31124389474898,45.09469858091077,41.118719214140604,43.952796475960426,42.945904890025595,44.953459401832895,46.167366008805594,48.583748177733405,47.69414981982586,44.790311981431465,43.019600902734744,41.10980014526219,40.67279320632405,39.6538561185152,43.20108675078382,45.15397116659216,49.37155500467443,49.857294931957185,54.13310652327157,56.2268500245048,52.90489721781708,49.43851053964557,49.189114500075526,46.33438739253214,43.9085539638558,47.75889227759244,42.8054146527459,45.498802586247514,49.0401332002743,46.31112833721777,45.88331895351059,42.886939886468696,46.19143947257565,47.95361981513545,43.386814760715474,45.60187489426359,49.93940340493213,50.53719121372064,53.903623878768755,50.371087513893414,56.35572359428079,57.162895959257156,53.209586079119504,55.277184037901755,59.444936567967616,56.82593232718604,54.83966629630501,57.8517829481992,57.70888322325032,57.41119330367575,53.99437930581701,52.07178018281836,49.39518938600199,48.80304354711502,45.66486526876878,46.063698713559624,44.09665695862843,46.20910753306207,49.178662611732754,50.589409489507844,51.569278494993945,57.315965133121736,55.23369294236733,59.37384710417154,57.416350718098805,56.6542977279205,55.71968219709673,53.327978512436104,52.872570481987864,51.121640226938304,47.14480324309474,48.46936931719711,49.96421910352697,53.14064170110754,51.99445716122299,57.208298128705515,54.916955569628456,58.19631697063886,56.00198065884995,55.29559458003956,50.970323687478555,52.34945403021255,48.31022733363082,51.00075329698831,49.04664113613118,51.59984221382194,50.882382094791815,49.922129105763624,49.50134619334847,47.329560843287034,47.38074651862793,43.043759539237676,44.713978251648605,41.690327794004496,38.63846293727079,40.91649407183517,37.06448044933663,36.76845933818145,35.98266944832998,33.747484824946056,35.22844915348877,32.47986681232816,35.424567411948026,32.780388937386995,37.63774276288367,39.20050104802945,36.24941741060896,35.27940835262132,30.63073850908942,30.824142377232306,31.441235099105448,29.885557647148648,31.436105699000056,32.54578245048528,34.25653468267247,38.00389447011141,34.464762137400065,38.487702168312374,37.272872955928214,40.90492895460657,35.26582641209644,33.47152848305018,28.85598163649522,28.405251745133988,27.007851869786357,30.277665130565367,28.445685278469753,32.2897235458449,35.07790496854899,34.40714973771041,37.896397492794044,39.64707234792558,36.87483312088438,38.94209457722949,39.34318775336711,39.33463394650266,41.33195743930852,43.299558276390066,47.734151167633364,49.01687211879182,49.482263911556814,48.81275752013031,45.81693208077457,45.28163481175714,44.67469529443218,42.33778154956977,38.87401004526423,41.601480081519185,36.581783998500654,40.97085583795073,37.68495247207074,32.55933950934829,34.04855619189089,32.14477015975162,29.901918232793133,28.47252764911233,31.049908394708424,31.869188925986847,37.077203717215724,40.458682091754234,43.460148470867935,46.30674958887173,46.4668402145768,51.09734873898731,48.255011012666735,48.722385205599146,44.4547779777355,42.69192958820375,43.600814038097546,43.80552595247952,41.065662195729494,43.863970858555156,43.73217388293861,45.153170857149185,40.519994289125734,41.86784744821098,40.293441359876496,39.92896275519889,38.22729646335834,36.84232297938383,37.454881177346074,36.759852525983256,33.5156319672158,36.13366063276518,34.26658218904644,36.6352389665921,38.59362210885473,40.236888285485875,36.69549632366488,34.823634437499365,38.849556510202774,37.52117492690618,31.66124825355815,35.240264253832976,40.203398558738755,35.33725429248783,33.95707830404888,37.60828924078798,38.06780057965031,33.76158445232972,34.61772599127995,32.23002759224004,37.94967219813892,32.516101941796855,35.17641516601186,39.185721798913384,41.63769534926222,45.893144229689575,46.07121910663943,48.7280525938948,46.96713062548365,49.58736454482306,48.22393618949786,49.94256557803034,47.65981033252504,42.64915775696866,45.06508084342464,45.68450009897437,41.11467487042737,39.93898863438213,42.18789688127983,39.42266593099979,35.8074505813894,36.23130930477371,35.69337874709043,40.35145374220834,43.44415227101932,44.576937147070325,48.02573163097586,51.76956533072746,50.339720663594754,45.53945952539894,48.1941591359376,50.52673997872777,46.19531743414145,44.10990725543889,47.65467224631828,47.00319593187033,42.95651963782889,46.294877397555695,48.196995334678306,44.622064040290915,43.70363010544889,46.8281604674929,44.29695034292879,46.68967488456922,45.62205551559401,47.22250106066235,45.431214935063586,40.49135440353672,42.50241511672102,42.10026089633823,39.111994645271054,37.0567112710435,40.771608302001596,38.044140484783945,33.585962721670974,34.94393670391899,37.5892066492185,34.483484567516776,31.024881414232645,28.012650500139237,27.591650836906958,24.20103479531647,28.416028961099027,25.574985265323836,28.82555194384108,28.624514791014803,24.007746113523762,24.204744189587004,23.25328652137684,24.92701609616767,29.443918601342414,29.0562068369126,32.420514044937484,31.20249360968783,33.2638365234538,38.803059986737516,41.03853075212221,43.09387345604396,37.983447718536254,37.63620750861374,41.15267141074641,38.4169205109943,35.07225000501221,38.573521388413745,42.04957950292335,43.713119768081796,44.69773308281688,45.47941151362879],[36.50385190402675,33.916269087269804,32.659142505342686,29.257774172373598,29.80784934938258,35.29853666388712,36.15219239855094,40.72396612723078,41.0681601495169,40.44491027856249,43.845161642661274,47.08798305940378,43.87066448005372,42.21777432328277,47.091588079510565,47.60172591674439,43.51721934340329,46.297796538859956,45.20049178221093,46.8438681003538,47.978494420329795,50.029956775111025,49.16697175033269,46.12541622372288,44.387082478711356,42.87017842475218,42.299729113954726,41.57534957834752,45.238972983108866,47.2257548166361,51.825746466001426,52.06280833519612,56.45927928705209,58.44322480689784,54.91694488861,51.41668003796633,50.958975518378026,47.89124438192712,45.22034558054285,48.55933622076947,43.737402509530206,46.79094277900243,50.07138421088784,47.09023921722121,46.56987997262723,43.31863896929849,46.39084971949556,48.35329694635455,43.70541567595672,45.43674880929618,49.945037375367015,50.5762918475156,54.09745415988105,50.88171578919672,56.88496168402497,57.6557460792617,53.90484135798257,56.27484218516328,60.31443301905788,57.58561767948846,55.99626293640855,59.30679824021375,59.41997255500017,59.1125907750716,55.52492847386441,53.7180794291979,51.442842482645,51.024282198407654,48.1765467000821,48.80063595587223,46.95434838572248,49.239978412454015,52.01986973960501,53.14658919478621,54.03199438150761,59.65274677234755,57.239078052541664,61.386465209454954,59.17219860753512,58.111166142092486,57.067509677867854,54.33377633192611,53.97423894271237,51.83752446210584,47.94111820446608,49.67132793507381,51.327629303201185,54.67211383854065,53.77405980323598,59.17200540067488,57.1406342778078,60.616771042773955,58.56462589051813,57.88179044780694,53.622867101383655,55.2382251781562,51.25017325094402,53.59033878918316,51.581582090278566,54.028603054904956,53.00399875969337,51.75379517442228,51.13885474276553,48.71379401878502,48.233615068956986,44.01530141205386,45.345947038768934,42.038690764864874,39.24890716850903,41.91553328603966,38.38274835767531,38.18955557464646,37.928651022478824,35.611169047276114,37.50126346141949,34.68074611428221,37.62810640124149,34.89209015098482,39.90108187945033,41.64624964485058,38.91264600368176,38.01223282823607,33.30264553491345,33.409106655924965,33.966766602151566,31.809871774512832,33.1810487818186,33.85027124151819,35.14970751325961,38.61157706530229,34.62943836514229,38.339641106665624,36.9944647447103,41.004974642931295,35.42520212548534,34.18911785456356,29.34332591508486,29.459904670445173,28.504010850639876,31.6781058661988,29.911998878663987,33.44795388536863,36.59026011063914,35.934671906520215,39.22802401927978,41.31556364615572,38.61339861319457,40.8040893963245,41.06496458038851,41.40144951988318,43.195056436922926,45.56833280029501,49.78133190406301,51.44964508038879,51.983261071021424,51.034547888775286,48.03149364025335,47.1391754244455,46.57878489047788,43.766776291065796,40.1149992784065,42.98035186845678,37.75089167279721,41.90066366052389,38.11880103738029,32.95097076940721,33.91275632930606,31.605147727725736,29.358071737150308,28.54080095748988,31.164036774722128,32.52388904390986,37.62687310290877,41.15768753707477,44.39795415682919,47.35191422627119,47.92438092258327,52.262263053846716,49.173201696430276,49.43916031342073,44.89932283091272,43.317189864662694,43.640811233471496,43.52377048969855,40.99469268502486,43.93548035759969,44.1869578741378,45.09655780501583,40.44935312254687,41.42480575106497,39.5059767437949,39.45706474488982,37.44059682399107,36.131998050569976,36.64849329441016,35.738069107602556,32.93165331727197,35.546216793671874,33.89992384028204,36.75756563751979,38.49720482070622,40.61804187266592,37.30490548152191,35.10259708432441,39.18132138717929,38.397948134977476,32.50545757446723,35.7902735022397,41.047858694384644,36.66476458166739,35.097199234225755,38.693785029082605,39.63000103645562,35.48393874774244,35.950226314330536,33.26059264038836,38.764979318301144,32.65007475304306,35.36805130506544,39.37236857454183,41.27330247922251,45.645408708240936,45.371388847370014,48.14288825865978,46.36775715392099,48.917489315035304,47.75757092473198,49.03446098413565,46.64536723062079,41.97109007417354,44.24892431039626,44.359599691850676,39.88054755337794,38.92563327898187,40.90060136499632,37.7300682152641,34.39910476646014,35.02147941648468,35.00111130780401,39.90331497292308,42.89248591658084,44.34328881763894,47.950705967247515,51.79891489483334,50.649889042629106,45.78944951497098,48.520528663998455,51.15843542250637,46.99933256876965,44.80429366820158,48.571630320616975,48.21121589996544,44.11492431107454,47.172297144182295,49.366688272229695,46.114077283334424,44.8130633394887,47.70056403910258,44.929416824310984,47.0609098745101,45.91294688852502,47.110518487189246,45.440719335044655,40.73092860531724,42.297526443607154,41.66757253841677,38.895697864654295,36.70357399871337,39.872741908376824,37.14553095933195,33.00475645866176,33.96679376352845,36.18844231554528,33.163039402454295,29.979123488148634,27.570046414053497,26.500211766107533,23.732587804644794,28.30639290862889,26.135784968582495,29.450487553908275,29.956730891832912,25.277137535830835,24.95476939735075,23.319867418682694,24.831523767717474,29.440591602223627,29.692110886797213,32.80326163598554,32.244700196371824,34.54350040782607,39.94841729957278,42.15795436829462,44.50204312353854,39.65097761595628,39.221703351323725,42.984737655116426,40.56397014163771,37.21862709432037,40.50239185686295,44.18234550769919,45.879293405010266,46.853739192301845,47.61187431679697],[34.86441878515471,32.046812916095206,30.35040135128255,27.056298811836896,27.03675781361802,32.80014117539771,33.4913329969775,38.00200420624443,38.57213445723337,37.88942340787103,41.37482897123663,44.49486084561162,41.11555052486658,39.72731479083246,44.5297102928833,44.85382875035901,40.74772730622137,43.55828704766479,42.56448810728212,43.979573961167105,45.216976124442645,47.13521302577401,46.42295508134935,43.41843691636589,41.532076357685575,40.11856483547791,39.34319549495931,38.65159998212728,42.30394451892904,44.24243670952882,49.07730169936839,49.119529780425346,53.57592162835369,55.53200512189048,51.905495397351835,48.43548705111582,47.82556273500579,44.75319164101075,42.014687883603926,45.20438679308289,40.51390520990734,43.72512880550993,46.947248207212404,43.95878194902927,43.580468975567655,40.320583820040234,43.40341806995972,45.22796834494605,40.47981111851286,42.17645884283446,46.64152177869567,47.185400394244425,50.74019627198895,47.522367379002354,53.50894372204164,54.38563795919546,50.705913221950446,53.060842403828794,57.11357951568084,54.48974611415186,52.98029957681411,56.35728712987762,56.503636213092115,56.34215718297585,52.6884982256669,50.80015946911734,48.779515185089814,48.319871773808856,45.7040970815602,46.36090989255742,44.669487709176416,47.150292165549914,49.71060211175323,50.74077057423092,51.42711055965749,57.00895789938645,54.40017134339731,58.49351065751195,56.15121376038526,54.990653467008336,53.82384773425593,50.99087085388457,50.58817627748067,48.36343051298311,44.51151078191257,46.344559191177694,48.12212733390755,51.46361385434888,50.746984184713995,56.17859483991191,54.30935616968402,57.920795289987176,55.907211478413934,55.18779355970437,50.963451160834396,52.73563295640844,48.78685934878671,50.862726583409696,48.82697948520656,51.239739075269895,50.00720268149916,48.655532956111806,47.9192484664957,45.43511153105668,44.776527681316914,40.63474588917965,41.9386248179279,38.582923460617714,35.91766543483565,38.64212571215593,35.24605513471297,34.96746420930796,34.935999785075026,32.5437144325104,34.639627722386535,31.82098221688549,34.81069957666494,32.14210531037352,37.336943813250855,39.02506465141734,36.437290677704155,35.50106867226523,30.78217343285084,30.77225330088085,31.292162824545954,28.801043971687523,30.21327261073221,30.61252458653796,31.81407197092146,35.14377034584913,31.12946116026785,34.805292684667776,33.377357332394425,37.415042299677935,31.834168183069018,30.708610010456432,25.853531664574096,26.089527540416885,25.321756854695,28.47374612022012,26.929503339574257,30.456581780803937,33.62300916131568,32.84941317497534,36.0554981778062,38.20050480784484,35.50960421798789,37.71298358988146,37.90801025243239,38.43269060798444,40.18190615521208,42.77719178373198,46.89980547227969,48.84829945112586,49.31144924519777,48.161269136353546,45.12296967913382,44.071968088643445,43.490014627212425,40.497154967341274,36.76881209356208,39.69868697686803,34.44425047112159,38.523520329135806,34.64394333393102,29.51328062303366,30.33793145528246,28.07793698203481,25.748495033716335,24.984186529365836,27.577255297179228,29.042958841232174,34.11228365471127,37.661950750545394,40.95651251665135,43.927881021413235,44.63966863584425,48.86871497550775,45.72462151316996,45.9288728727245,41.351034778686206,39.79580153549125,40.0213838155647,39.88472349340747,37.38030674872454,40.39737294500923,40.75493028448099,41.647641207728135,37.12300835618324,37.963879359267644,36.017699338053454,35.88600857628713,33.821910686607225,32.48686861120536,33.0161836329828,32.166691048895295,29.378049967876144,32.08825294092836,30.603418322263668,33.46983366660747,35.38657232616758,37.5344558744067,34.213714946975124,32.179418920886654,36.3698641708218,35.64184509414943,29.865964223517526,33.28143976075683,38.560241066108595,34.32684445133973,32.94413071630597,36.64204886370821,37.56833607486416,33.60358319342999,34.28610070627869,31.46379646831131,37.02913375368216,30.873643314418068,33.26068137998471,37.35919655674775,39.17122692798447,43.69926135363662,43.22936098769703,45.76372625529444,43.77396144647143,46.15927072256338,44.79893582013825,46.0688515872438,43.87605553177562,39.07048811080586,41.17050134832119,41.40235584582067,37.002311900819784,35.84017145847044,37.70930744081166,34.79076156653209,31.455660515266544,31.71601374057811,31.843833745005117,36.55576865773824,39.627033664004394,41.23804822110353,44.76363514485178,48.728404959971435,47.47610331220216,42.64858103562772,45.59876911942524,48.199867558015114,44.008977596284815,41.98313620006937,45.88612611216461,45.578583357450476,41.56359991742519,44.70406390142837,46.99805186591278,43.8671152966362,42.63031922768631,45.524430221166774,42.674148560407744,44.617579008710884,43.237104262011286,44.45451913324139,43.06309602421267,38.23184857427769,39.592918836539816,39.205989100480984,36.52801771150817,34.021733718605354,37.29059647307179,34.90099453986366,30.58662977224065,31.249116123902652,33.759968461621455,31.03074922290507,27.719345880262686,25.309528887998088,24.64995676239605,22.010237384167958,26.71486129694325,24.312664243769262,27.26112919906409,27.78534526507492,23.27775947672204,22.58934733087147,20.928474586205493,22.051948840749443,26.619394683595612,26.68377698441501,29.586823401415657,29.095670606769733,31.657176582814454,36.92945147800392,39.25966041927586,41.5735063422294,36.82245989523841,36.59413539740358,40.44112742863313,37.98451823139879,34.88571225678635,38.23718999611283,42.00318679950912,43.73063387409086,44.737361333674286,45.57237408584745],[30.45702607717375,27.82042410122311,26.58454583000654,23.32917995225669,24.14033014939123,29.594436235246935,30.76463727310449,35.32638273841332,35.86176815153962,35.67865598026585,39.163750972761825,42.1988247711127,39.35841392905823,37.9120903005772,42.910164559457655,43.427263763508556,39.650436611023956,42.84926310001202,42.395834229226345,43.994393237410094,45.633112847860524,47.87422954049306,47.4043323426562,44.64100299477713,42.45533188140056,40.624719888216305,39.60388637176074,38.36934097831475,41.69221546944521,43.24212313587511,48.013796848456884,47.83790246689894,52.232696698638335,54.57291228933993,51.08811714833246,47.85921398979561,47.066720978021124,44.58954976591341,42.11241401798698,45.7018531100468,41.22597112416662,44.306006211464705,47.78881827732033,45.12304983004309,45.13561184674806,42.13130786700235,45.45981164524628,46.844257910236564,41.96745374110583,44.05852450857224,48.26124899110398,48.54331227188052,52.03539298970384,48.431752381753505,54.34048726502695,55.572476539675826,51.82111538391986,53.72192961557151,57.997716787288624,55.75412918129231,53.89332122639316,56.979018476363095,56.77616028893388,56.946349748855944,53.42529598014739,51.17022607136506,48.99019950161115,48.08069780090122,45.37393927443998,45.54487163011322,43.930479386863716,46.42417125032427,48.987250907627036,50.48257357909028,50.905545490074346,56.705426756372454,54.29458636966697,58.22621932259139,56.03415280011168,55.156940310206174,53.74497624503965,51.184293951623516,50.294805396630835,48.4204307701109,44.662292210916796,46.143776979864796,48.14611354183175,51.073231242040414,50.5282653893522,55.6494041509149,53.69593872510879,57.26313412649215,54.944820667086695,53.94069416634258,49.53581637102735,51.07877621779123,46.975451317486815,49.1079437731899,46.84860262796882,48.93929358852727,48.29821035984605,46.74152383557053,46.56839684511155,43.85814447575309,43.71775572304409,39.19979812342186,40.44158966941135,37.283471082361345,34.16319576695446,36.74141101751669,33.03504411708554,33.251031658198244,32.8823405624527,30.998426195988753,33.18063585490916,30.762303374908935,34.09112322225673,31.887215979959286,37.283685436681374,38.3931671649665,35.615208700374424,34.247675523008496,29.596394951909307,29.169678486852106,29.19644058609598,27.113141417159742,27.81936034192353,28.909292407594158,30.192172713367214,34.00964446546753,30.095355941319582,33.98037154993779,33.13829987147755,36.91538844416389,31.502027739029586,30.003320001633035,24.968227837151463,25.347241711789984,24.650149656307363,28.16829050060804,27.324300024355676,31.37689605381503,34.03348987848494,32.85407189513482,36.196100785055016,37.773558439449104,34.85595090030628,36.56804715864235,36.48371569548301,36.476685765240326,37.96788409706131,40.22137884956116,44.326382985810945,45.83259136347277,46.62308983054796,45.82401671324529,43.04353828578315,42.08371424933084,41.91461717732204,39.05884096829661,35.896483513503206,39.15455149702575,34.32217702757475,38.637816210291525,35.20374516652967,30.290712966251608,31.180006465619858,29.55129425636738,26.75777510128601,25.5922584140995,27.824258548596656,28.984770392018792,34.13007252957419,37.446864616835335,40.544046381688716,43.172688497805346,43.72488331425176,48.085111369651884,45.39912525675258,45.525606473789594,41.38260526105543,39.162572462400156,39.993279525905685,40.29406353504268,37.80628979666717,41.179475851134555,41.48457354170487,42.933787268488416,38.780435499672386,39.562044919329104,37.75694992061037,37.07248895945323,34.89732991885968,33.134541095012914,33.3734314117535,32.29488169243142,28.948142907941836,31.259497868359905,29.151288037990525,31.70777242885795,33.34508411560318,35.19745158287813,31.82796486761824,29.606465893642838,33.5956595874005,32.57922688994506,26.646503790306088,30.008480708439173,35.14827246151895,30.60776911616383,29.074175917784785,32.7064763298494,33.524088579332535,29.370053060419618,29.978136439886867,27.340196789113012,32.97446070707554,27.20698406479584,29.796139365658497,33.83541916161088,36.10517310987212,40.44436865331387,40.481817752326364,43.12416761019934,41.358715020886656,43.999978013439595,42.75365855221317,44.41977714838154,42.04845286672276,37.11557753578171,39.6250507651661,40.180838902485235,35.56286046454903,34.50784793067331,36.890258578607664,34.01269975018493,30.32914090098502,31.08809846580494,30.344551894760762,35.27569575092347,38.22317268962328,39.27072006868488,42.85126284827489,46.53040465237105,45.34146341195739,40.47567427856323,42.99525880733827,45.53382715276442,41.35572067872518,39.072537817853195,42.70786304029356,42.26001440956826,38.14285421488883,41.26388658362021,43.358609192196575,40.025741347465775,38.81443248805451,41.793050199182325,39.114770193679256,41.37656826176063,40.30357081530518,41.74137904066019,39.97035556864005,35.115449652934636,37.000632053583146,36.51094020123185,33.573233580639865,31.506937766559087,35.12823229691155,32.40503649003687,27.962714547819882,29.326665184259706,31.952719210683714,28.870012533112074,25.381140736674983,22.41852977551539,22.054753686383332,18.750011236722624,23.104132532151898,20.393652880730745,23.611863737587793,23.879985413024876,19.218730054753777,19.06400133691502,17.785285775974028,19.49696084281597,24.051601357188982,24.15228616534201,27.570454550204676,26.878017865541196,28.800707444386983,34.3265262972826,36.39580798984207,38.78773385820714,33.90204621164698,33.2616585508825,36.996715629070614,34.73979149011626,31.20564029732526,34.40897684064061,38.10304558621474,39.831656309835424,40.85603093853399,41.649904857818264],[34.79995248755341,32.39149302000666,31.475517393476377,28.627110880943913,29.725419170945948,35.182794474418785,36.58632480056375,41.126811503883594,41.718375187691834,41.656650572425896,45.12252401799001,48.15338942920054,45.38504674135603,43.89834090022957,48.9090165317722,49.4528720425969,45.64922441950385,48.778386883777095,48.15044234291133,49.74893261574126,51.216372112152136,53.34326847367449,52.723633055276785,49.8121390848177,47.81898244403654,46.15887555911123,45.272730443217455,44.21603366413323,47.625342597374825,49.236433070638824,54.00843568006428,53.85703467299306,58.258028542773964,60.57078663496371,57.0602463909857,53.78991525191924,53.001916470249355,50.39715514857411,47.81747829208821,51.17673267251959,46.6680548289605,49.848244647408826,53.20114564408,50.35136711437609,50.137976588198256,46.943543704810295,50.082453677784244,51.7741309150996,46.93834044129915,48.679962236163476,53.06931471565014,53.464035598892224,57.04627341126028,53.69010217132728,59.63027688367812,60.73115999323156,57.060266355614196,59.202594994117106,63.37061876669064,60.93555364477912,59.28527912999326,62.51649938859028,62.45854754805193,62.46472859253743,58.892982575759625,56.80897422234993,54.6310063666707,53.88539238728889,51.11675886481642,51.39683336746422,49.688067408889516,52.065391891166485,54.75720470571563,56.1791677004629,56.75887792897573,62.516575063293146,60.096029656256455,64.08541569046302,61.85328193738094,60.871738169962,59.50056162255096,56.7936619644682,56.00057207043554,53.93149373563978,50.20170312721062,51.879070015837485,53.88208890635069,56.920131570597206,56.37230087843841,61.57476975429274,59.62911503585884,63.179712658042725,60.90673416595398,59.94588850333193,55.54759124680603,57.059581993321935,52.94772302566491,55.128882608350615,52.84814355657446,54.85094057701786,54.275845253314095,52.58461607070814,52.45130137921573,49.58490878873859,49.24343132567259,44.728201926511964,45.67552099426369,42.35619092047524,39.30764238148163,42.13411726736309,38.55502022454243,39.00675523965635,38.78303326111896,36.967941483260475,39.21076154737757,36.75833254423352,40.02755411899423,37.682771401205564,42.963690772164476,44.267053140100835,41.47435411893997,40.19822325731017,35.53677305074557,35.189043260742984,35.2059819334759,33.09585885902864,33.56192921100255,34.63131730445222,35.65958454661398,39.379919328768835,35.136944291338246,38.751035431759654,37.944458881997924,42.00086907208362,36.68652397901518,35.54582990674249,30.359631767532353,31.08375803773759,30.525423972468335,33.9704035683588,32.90834141114046,36.72882928077817,39.63094816755854,38.601217252155706,41.88795471291529,43.64651521327149,40.77394641216586,42.54364019430732,42.40898790901558,42.42225182034907,43.76319043393505,46.031272249642555,50.02500947147625,51.4408871212617,52.41610279116199,51.67990973908039,48.98125743124221,47.93121395800391,47.86601309743847,44.85601664943271,41.68242414865486,44.98184304172192,40.03867499378776,44.237110655378466,40.52297359021337,35.543020374903094,36.13862299466579,34.12054002268062,31.407807897900465,30.71812082713457,33.009085327535125,34.49897405598274,39.57618681348817,42.97677904552512,46.192648062982855,48.858340720015505,49.58185095081598,53.819038305368046,51.03064970153353,51.0481782530138,46.75676710506342,44.6222021714782,45.087781337929385,45.152591533409854,42.83457858149794,46.26458792666612,46.77361725210683,47.8324130629749,43.5428265984039,44.153222498783535,42.07779148274196,41.73993104797285,39.325137442987405,37.636416367285655,37.74433784817107,36.363882750099975,33.394537600099305,35.525738303819125,33.38816153877738,36.35348884610996,37.48615692535995,39.71769294129074,36.621573318675026,33.86226387744041,37.66258782828846,37.09045143546206,31.062838667343595,33.86775771952294,39.166839054562935,34.93073950193984,32.95968621035202,36.309137666418906,37.58466716970162,33.38087598374342,33.25843371123013,30.59708022813093,35.81527291770054,29.567807718904973,32.68536536286769,36.50527856739922,38.37360780428769,42.53116093290038,42.47208858498894,45.56736505461554,44.13860771260297,46.956943306232766,46.22151448095077,47.49765748491617,44.734163838826625,40.34867932654402,42.998760704775584,42.913618993929624,38.281666818046716,37.762122136174135,40.05708212031226,36.448445998182976,33.04889644056641,34.55469251744014,34.04806189673218,39.45082968476836,42.14637272285942,43.21345700157952,47.03994800954968,50.59727778098991,49.841031920231984,44.907980989804145,47.12362367226752,49.98224495912087,46.05404198221109,43.42392757235663,47.01364029348923,46.761143076452846,42.51742433961419,45.20402557788566,47.3942071847393,44.21368825328128,42.553187327757875,45.2625219975737,42.51448981898176,44.80365296570727,44.03439903155779,45.055949089709266,42.97449096190745,38.582585996041175,40.35543263613106,39.27874632752524,36.42878658886787,34.75923611750813,37.67926378990461,34.45423141096337,30.643996040245725,32.09029341861008,33.84643718581372,30.405997072464523,27.423890731174442,25.105502526095172,23.47010292230287,20.666063285957467,25.030770397866544,23.44275794639579,27.195890914905892,28.115137526024437,23.29801161276821,23.209190035788886,21.343373517819522,23.42207129746718,27.995852507245324,28.991976030406555,32.412763190399815,32.252875215729816,33.96544971003616,39.47953885024782,41.30575671805201,43.99113298524744,39.26012809909336,38.23663700260326,42.01724684863586,40.151423694503826,36.289667186245666,39.12420085669242,42.82106619295166,44.514510596743996,45.46674879950554,46.1078904585615],[35.88193627944861,33.12113959526748,31.468593097429775,29.099705586063877,29.200176892429855,35.25664024316037,36.457924914033356,40.86309974132872,41.939207152998875,41.77777270159813,45.38993434318631,48.198062546447936,45.092085784063926,44.08565815726284,48.93277022382837,49.11275386831754,45.20901652029763,48.26865481623283,47.618574202211946,48.75223713795098,50.20613773245218,51.92520763099456,51.435915635302685,48.462222933480234,46.40955079236058,45.153995278282615,44.03541062695506,43.262289474491396,46.741543752545304,48.35837295513305,53.570678744111376,53.10466139990921,57.62532735546166,59.78902731067137,56.0527026710379,52.78082665577872,51.73717127547011,48.946652366745454,46.13633360765904,48.936556146904785,44.665985138354735,48.217484685306644,51.286880461346605,48.24983999187814,48.06489706164338,44.692483486018254,47.62072353007963,49.35529042763154,44.429620414748186,45.73274306827162,50.1856975981973,50.54447402519541,54.25033288642094,51.182337078382645,57.08235169665202,58.2161098548653,54.787069463951376,57.15768454544492,61.201095003676976,58.761025372429934,57.50435776453899,61.01121066260564,61.19326096302947,61.28763215849212,57.547944213350675,55.51984289075292,53.86074851034791,53.24567674226654,50.88991523160613,51.39484317729823,49.89329715821776,52.53458602600875,54.909744135374304,56.00698190293854,56.38054884328834,61.97348713897954,59.14939882740061,63.094857281273995,60.568511276840425,59.26865544425196,57.74080070356894,54.694133775271496,53.97667319670886,51.53092574649878,47.92527479361534,50.002309240189426,52.194923940325836,55.36488382955006,55.13758079325024,60.49946578291643,58.8908549191228,62.68272363355645,60.58005636896421,59.63796639125821,55.351438449252264,57.175473932926664,53.1652842971795,54.86851871042236,52.56128576216236,54.486078279538845,53.45760093814139,51.499759567653534,51.07128427321104,48.004448768001474,47.069453424954915,42.773232138051675,43.42747509871892,39.855184500573266,37.18217960666828,40.347886598500075,37.18991626599698,37.60607841322367,37.987403780790025,36.03104847344746,38.69610596115602,36.189028452047005,39.43023998650818,37.065771563272776,42.52618675056907,43.9455516793462,41.45469629410744,40.24756143323265,35.57439635552644,35.12062569268272,35.11535562724481,32.312441461193224,32.73261571012416,33.18489656930614,33.792140773496264,37.1014911016535,32.518411341287624,35.78546343518739,34.79153490184542,39.14968048469702,33.94609736636055,33.380115649109115,28.102027090530537,29.35572353496779,29.284167039401368,32.55753429687884,31.700639156356253,35.20019454164341,38.35813607821455,37.28377185810958,40.30880518812686,42.374985865151864,39.608442528972006,41.49475089739531,41.22734521204075,41.69009174562422,42.85984497397015,45.6249724706179,49.3610389907659,51.337903890498175,52.25648651868268,51.115379196117,48.370131069914905,46.92677497197825,46.84056655426518,43.34237432293473,39.957204230549465,43.357544707926074,38.26998741106892,42.16673393924702,38.020911679772425,33.11298166286175,33.156906778137994,30.875759732323942,28.146167927136066,28.03851815999619,30.29053147275932,32.281465040441006,37.16307920072231,40.66190524371033,44.08354896436587,46.84306599634409,47.999197795148135,51.8862860569021,48.85334465012585,48.66848957608429,44.146269244288604,42.2309539601726,42.112191533266845,41.879739276750506,39.781484356577934,43.33908074589098,44.23559991517403,44.84530980816351,40.68128898831563,40.87499534637259,38.5160297385862,38.38650002063536,35.69759880456992,34.07838695034069,34.11046448973989,32.60409327210778,30.091323079652295,32.277927813059875,30.51745232435011,33.89475069309643,35.002838654110974,37.65966117617918,34.77263277023469,31.93027127755552,35.858054071605025,35.8038310233229,29.92957348863903,32.593543080030884,38.11942424349557,34.457743557846705,32.55192373835827,35.93532339322517,37.55997412708945,33.69985714969813,33.514035147761454,30.50046897833067,35.56021295923287,28.732704202579388,31.52588354949865,35.41323675700176,36.681637510400094,41.09140226428203,40.406624689443035,43.35284268188736,41.695758336741434,44.27157500773157,43.51540895122748,44.377186883195904,41.723397803884154,37.531163040384044,39.86187338064363,39.42024383213134,34.96737964644448,34.456148476641914,36.37817480563531,32.63074943585232,29.51971357684797,30.871205315469563,30.999708352943774,36.4005985427895,39.06692450983285,40.57678218225818,44.438867896680364,48.193448857477485,47.56887089796965,42.64490661553761,45.144546985657165,48.20457311774926,44.40183195798611,41.87658547763426,45.771295505757024,45.80549917274592,41.63286687322461,44.16947728897067,46.687188471902466,43.8998578881137,42.020010320783655,44.53205009888685,41.51665820533339,43.376607743555056,42.29815994323984,42.98523322571069,41.3102886069108,37.015440006971644,38.17144285758097,37.14421727594467,34.60406798387947,32.49524146739138,34.988763051904265,32.12367274045711,28.460816987723454,29.211719483987306,30.831961566959787,27.78566452243897,24.9637532977394,23.26754800728836,21.413865807510724,19.4259414120913,24.216466778389314,23.020762434474083,26.389730215377025,27.893674928685293,23.28397262962454,22.39765402025282,19.932855241411204,21.43675872433722,25.98060682514296,27.343431073049913,30.29555926704764,30.74350267133261,32.888748576281614,38.107300320856424,40.02910067373187,42.87974760892484,38.47558214263341,37.622198549278735,41.643804492749254,39.95911467372454,36.39736438302925,39.13654833015506,43.04361349904867,44.773411012186834,45.74421182884092,46.441262249834395],[30.79483486476751,27.87536576196083,25.98773649737527,23.659554240260686,23.603939741355433,29.718320835886527,30.97169688913901,35.34061224790498,36.55854668830704,36.58004430902414,40.241079779205286,42.89959806795791,39.948513000558314,39.129107129539484,43.99403529689827,44.13264700012025,40.414921815609176,43.71125682913895,43.482001811336936,44.5548448335257,46.34800151051231,48.19432011653769,47.98733891648661,45.23147855153625,42.859158154638784,41.38876788432279,39.95655850940383,38.8546880410567,42.104274035655834,43.45160769432448,48.77599135150334,48.0533870308205,52.56937539139205,54.9229105809643,51.21267080183348,48.11269287688824,46.868651200355174,44.449435088883114,41.779396134923694,44.78447770082303,40.735797715389346,44.27271095922341,47.491042246668194,44.70431723087037,44.91195260586237,41.75932665330474,44.90486660164504,46.18369450556075,41.114147919184916,42.765618538355156,46.9644133471875,47.07612168326993,50.72694635227979,47.340565733218966,53.173383278352524,54.61975348610496,51.16140857436577,53.173297276040664,57.3865478825392,55.29776235770893,53.81207257190916,57.13839266314906,57.09663974323061,57.520537324176026,53.839232773342644,51.50198853562064,49.92309839506253,48.98500998147834,46.766681925803375,46.99952565466594,45.6828617805787,48.48789223056952,50.66179460412977,51.96028141718803,52.00775310109254,57.68944850790938,54.85724459748208,58.652335964819535,56.145903978687,54.97877403107768,53.22695980371952,50.325711358667085,49.27698642116635,47.04418487691234,43.50744372642053,45.38314543403311,47.77537343360556,50.67229887748824,50.65727915314438,55.83385987345721,54.2858214689791,58.13823159473459,55.88943583852552,54.76089202413727,50.413982073966835,52.23057706922679,48.18550322372007,49.71105876776982,47.28197640305238,49.039308186663405,48.15579351876856,46.06842071111846,45.84338603216299,42.670284999289045,41.969723286568566,37.510426974304956,38.22104819599167,34.77194623971533,31.8935799873264,34.94708236634426,31.67383130738436,32.226243261955155,32.56331763542745,30.814982120434443,33.664139886084875,31.404583143391683,34.85692004326544,32.85480063673519,38.553537254546775,39.554637076864125,37.09017187638139,35.611147788773984,31.013425212703996,30.22527264558432,29.922308495900488,27.0832292919559,27.194715813373612,27.809660809906,28.45581571656345,31.984027918667763,27.524702620811304,31.011512449036864,30.281286801590863,34.41919642631759,29.255275539187863,28.435946183025266,23.071407427432582,24.42979054557801,24.53416961287019,27.99523785700872,27.778566224120414,31.610058411019374,34.40440614375865,32.97766009722162,36.019472957430224,37.745863041912514,34.8589838903877,36.45884896697134,36.004387286170534,36.31482015062102,37.35436370609835,40.09698084117626,43.787837882429585,45.76430527697791,46.73712202268498,45.615163338420345,42.95849815936488,41.48069096575847,41.5663687793653,38.06573999370068,34.94406555847046,38.55620982782288,33.7341613562982,37.74606776428638,33.8891205056188,29.164325634807224,29.25162349801328,27.52498339079196,24.419019839551403,23.945481446333048,25.93784118714124,27.72576453585664,32.646914137237154,35.99833849973307,39.30484997374332,41.87317730130082,42.97535424410669,46.90331897835328,44.124733251551,43.89823835513253,39.64694866976202,37.34011609715178,37.63810648380179,37.739412831867504,35.592192215206175,39.38554612202709,40.23897745325149,41.31027913698348,37.492082438774816,37.64128366509886,35.46414668581394,34.81195804777345,32.123466384723926,30.19491291924406,30.118090142935102,28.636195256231172,25.61668172772881,27.730000501427753,25.71280990041009,28.79448182569343,30.082514911571142,32.4637220227603,29.42383745593511,26.77888794066078,30.787356409081493,30.45160580068392,24.580092624072584,27.537133421306216,32.979745859353216,29.148667328971403,27.45561887141824,30.999952605325177,32.39954837638159,28.60352860190286,28.802790638615793,25.77526018456665,31.09602033327412,24.59976931456521,27.051859724520426,31.09791693494561,32.74228605108424,37.26613487157763,36.77770303430674,39.426759919244375,37.58123312715202,40.12418702267266,39.05645253030727,40.32625155373854,37.87068687350028,33.227849019699725,35.62504005775571,35.75542036035611,31.199251614947503,30.34753847206153,32.55635911471597,29.332817894702824,25.83458692028145,26.890804116313298,26.50068339877203,31.7442008992901,34.52738095929102,35.830468171660115,39.58421388365296,43.33129839955556,42.48234370950919,37.56444218414784,40.119628160386796,42.99911800373902,39.06533046913398,36.64832397945794,40.53021210307641,40.45070120617318,36.319753866933254,39.084448149099835,41.53661114548184,38.666674203717534,37.01607438636422,39.69357150530327,36.73129585960288,38.626925393298386,37.41762866501218,38.42487702925296,36.86119514392767,32.24056543022721,33.595281160533304,32.93668905674481,30.257831274981854,27.972452941819892,31.084191696163533,28.475404521549798,24.276393746236007,25.18668548940672,27.52370941078616,24.62342452632942,21.313555630301007,18.968873120378035,18.168045974499062,15.627069943060873,20.398452862946137,18.396732224728336,21.43765787949589,22.635097282182343,18.133821952058653,17.135159409656396,14.970559999702553,16.367374967857202,20.952369102069266,21.904049001592742,25.003210621566154,25.236608924296085,27.31750115701589,32.589235097611706,34.55286754155418,37.32811486615754,32.873729203842515,32.07934819777785,36.0968668888061,34.36729104908724,30.88158666596611,33.709326189276624,37.64181333154815,39.41089704105853,40.440598656964596,41.23252594835225],[29.329064295613353,26.803893020977362,25.737126986332562,23.50385146014445,24.62636992663464,30.20022430774878,31.980634571801833,36.389848568975424,37.41609826573265,37.874223070721115,41.44846695767849,44.11887457723043,41.70695588199357,40.647149534162736,45.684984611762935,46.1012752430711,42.63919397804052,46.15827383925083,46.19050147975905,47.55803901194178,49.51539092890809,51.661957745247605,51.48006700878328,48.82955337286885,46.39847504942314,44.59883040269721,43.186008026411294,41.72891336239301,44.77123381306095,45.89410068673944,50.98122661586157,50.25514309129336,54.66920073510172,57.307171340057614,53.77664165555582,50.82311593683051,49.57380836624587,47.553526381245106,45.10482389042426,48.46168949999075,44.4465888271666,47.779454605339836,51.198552659692666,48.605457822534355,48.92492361143983,45.91644160595903,49.1960856529218,50.33980217879903,45.273327669083436,47.16939502145073,51.25761460650913,51.28412310275698,54.873187635441624,51.26401067257071,57.0559680512875,58.6404813202036,55.08872035346804,56.83790174776853,61.175069204109604,59.23704009622888,57.481039906489315,60.57853927657423,60.293977499446136,60.812763786859506,57.262545232818034,54.763161790808645,52.88743136078843,51.698868672078284,49.24179837907039,49.134124345583444,47.74785818268151,50.40183361108158,52.749122238179076,54.425220625915934,54.458199673393814,60.307108571371366,57.75571721135213,61.482987078107804,59.17301010304419,58.26299392086761,56.445412724565735,53.795031069582336,52.46198210576265,50.523033923815,47.02784896894944,48.60121908748383,51.04269956733534,53.66719904113011,53.63058224977827,58.56922643856589,56.84629307732018,60.5611091896748,58.07940920253704,56.78327033296103,52.29427298993583,53.823231517944635,49.64890958160279,51.408263673977316,48.8405398191635,50.36036637414895,50.08293037835415,47.90905059850071,48.19484443620648,44.89856164046733,44.687832099141815,39.932828693575836,40.57000334690904,37.31724092926377,34.045363881714714,36.94462351036438,33.385392815380584,34.39969711220052,34.32637649614374,33.02341091153583,35.750340466493704,33.76702355918651,37.38321480936598,35.614101208937214,41.277007703607985,41.965541735037334,39.268359378273104,37.544900403812456,33.01980214612741,32.06007372770451,31.44735978873959,29.186881115460917,28.728119747924747,30.054967647683874,30.80102467685444,34.728270541125774,30.391628471787016,33.97104144144768,33.7282934704607,37.6475475100888,32.66168763890086,31.540367833169608,26.14012281673207,27.474424627624277,27.454337384843228,31.124493331171507,31.10699060164949,35.24066705128254,37.73173343030364,36.169189444148174,39.35716486757387,40.68498372396059,37.65763021663834,38.91760844764785,38.31978722370296,38.10389200520535,38.95633024626523,41.25594706526003,44.95680159514215,46.3583038875465,47.667444270204136,46.976378725568544,44.56695162712215,43.27041479343174,43.68852813042453,40.42944704474655,37.784330615591315,41.54539642440387,37.03006769283434,41.225381358038696,37.724298583753175,33.105731547423005,33.35031222079099,31.933920953465268,28.6761361678374,27.932905729044826,29.734520210717402,31.238065958860403,36.196454765480695,39.36731435325477,42.48982156685144,44.799898582623506,45.696089319490746,49.76620234883158,47.348303151063064,47.106711178040534,43.186483367758484,40.43441782928748,41.183145654037375,41.567769173566205,39.437533645381045,43.37773658550136,44.12155268101717,45.524283086708124,41.822236806156326,42.0430389462121,39.962156683834635,39.07206168142851,36.36076596837417,34.214685517286384,33.93640311924868,32.2462941380905,28.92166561906212,30.61202399807393,28.025432144678703,30.870187740439878,31.68347919767679,33.845396584630116,30.864699990784036,27.862830662758686,31.517971343373013,30.99850802278164,24.953740702729057,27.58470011363911,32.88296080400717,28.778250190183872,26.704561484279342,30.018622598042988,31.451861430365472,27.359157687312596,27.113453016421218,24.346516528061425,29.559693361137214,23.316431544850857,26.359994140693534,30.20547298016648,32.223474313965525,36.40895027814074,36.49370317787413,39.506993177047335,38.104098735143836,41.00992465551535,40.304089288236355,41.815094210571395,39.0023835406541,34.51292603532379,37.38710076808908,37.55929620121572,32.81345000391563,32.33014584931724,34.982618936601874,31.50549210789771,27.840438415819527,29.695198766380198,28.55297752723232,34.11963686732165,36.6626452834822,37.3798028584996,41.25152075506061,44.628014405893865,43.99702606973407,39.05176181020333,41.00713279435561,43.91022766820284,40.089701086178195,37.27909984714445,40.7988879010817,40.608031462064616,36.326898551120394,38.89419289821327,41.1166530288206,38.03659083555841,36.25185507792805,38.92131848796025,36.15870781908582,38.469075564116345,37.77522034198585,38.8545284753847,36.690481492345555,32.28049061488809,34.21049966177101,33.14473113704527,30.203263824486175,28.671771392268134,31.816821375262244,28.551260209762013,24.574225525270695,26.358987218744097,28.333291370088798,24.821970083229303,21.622596961919825,18.963881763514845,17.752979065509727,14.5873114898259,18.887299241322715,17.1344745623239,20.877839258597437,22.007056911289403,17.23354975311178,17.074221554107147,15.178693757002126,17.519409500570656,22.000118424561673,23.306282487299015,26.923385308803713,27.026354051803718,28.318950765846033,33.828223160194476,35.41965933422674,38.31665525390122,33.7485768015872,32.392909603322195,36.232712316753506,34.79349607403426,30.724804946215496,33.26435245884851,37.05187888428775,38.78176960386333,39.77214538779491,40.43023010358522],[34.13124235203739,31.6404079868867,30.461232488005948,28.67914847865652,29.479047861420355,35.29500526576277,37.066670313480415,41.40116124536008,42.64028391194913,43.05378839506376,46.67314712097962,49.28275200168421,46.7060686404753,45.788664501688714,50.760839996965515,51.036660621229856,47.45544962156155,50.8472492097472,50.66267879278816,51.841113975965875,53.616792262093576,55.48937119180235,55.21371088221869,52.39248139873344,50.1173830430225,48.63910861734491,47.27210101170012,46.12065538474116,49.31098488063644,50.54425865627958,55.81083154112021,55.019501571532025,59.49681921688821,62.00556959921987,58.34643493962825,55.322939770919575,54.00721448962504,51.73498712361525,49.08528792817861,52.00948412092567,48.03086551880329,51.59600853114293,54.783667426666085,51.939295158256705,52.0552966019542,48.80722516657831,51.837941859345854,53.277224956118985,48.222983521093745,49.63877020175969,53.91842603997885,54.04480697671266,57.7591783653804,54.49754750719039,60.304642083172155,61.76122811170264,58.37487824070371,60.45136958108734,64.63285261507696,62.50282157538006,61.100527966798616,64.45385251198306,64.41224079009977,64.8041987531503,61.1273577673857,58.81903324797048,57.15637968462106,56.19579148634424,53.848243511618016,53.973317091316744,52.57548763011772,55.24641465567996,57.583178555637964,59.023425542888475,59.134156590620414,64.8715027789439,62.13026698199688,65.91098839570661,63.43496738178939,62.28699423442319,60.46777408683631,57.539337294539244,56.36971096830116,54.09107181204636,50.656958055280455,52.57537377790422,55.06063651956695,57.87566627678685,57.93599397944115,63.04420120020184,61.464627389223516,65.27023572587227,62.92532636581715,61.70717127217168,57.283653696286976,58.9413194575188,54.8150905816099,56.429463736039196,53.868250979250995,55.3440642300469,54.85586694114828,52.51086002856895,52.63057920912587,49.17523415590354,48.50518924500578,43.9038239020563,44.20623977836394,40.71374779010307,37.729638213530244,40.95873357328472,37.720601362965375,38.8041854908602,39.108384604135786,37.70751516500591,40.60581272253441,38.49509937429149,42.015590184208534,40.05064445799892,45.689505708019276,46.6519856663739,44.06501440403054,42.496422680364276,37.918706322488966,37.05928099498999,36.53649447432866,33.94748560248453,33.46120600144974,34.42329993136825,34.821287972550394,38.42794297964889,33.71897408507122,36.899608174921624,36.535906642713606,40.80820412655228,35.933721838127674,35.347753352805235,29.852909782430068,31.574126839237312,31.783846107796048,35.2958614642574,35.068828054367124,38.87677867019907,41.71385988097821,40.300275780108706,43.346836003730964,45.00485942994626,42.07634854162739,43.504652854062314,42.87157288154157,42.922163304648805,43.648339557179916,46.195134551769755,49.7141930105982,51.32677631002132,52.70086408321578,51.85020621125117,49.444980785495424,47.92134257904735,48.34224243479751,44.7685727405327,41.94865810841206,45.72604847335763,41.00724018936931,44.97821968806247,41.049280439436124,36.376425883717225,36.20021171710821,34.32345510554825,31.18968331584179,31.05520210377289,32.938010360360124,34.899545250239804,39.72543799043386,43.02546589130188,46.339145197241805,48.759697277899036,49.971306983972525,53.79632544606965,51.14560389635614,50.75187739461953,46.57684295896882,44.06844852523469,44.22915713257,44.26018729232257,42.35082931612394,46.33412253236748,47.38663276919265,48.25400791156085,44.46013065950379,44.39588901255001,41.986935677666466,41.50575764111955,38.52128678228696,36.51670382747858,36.13973620829999,34.19449468888385,31.448288009457695,33.05129460257169,30.704388148810807,34.05862984289737,34.485479297827894,37.15466599972029,34.50974321845591,31.11030521017155,34.64933549954097,34.753936083740626,28.803163579896868,30.896374853178337,36.37307153208656,32.8493073230752,30.51261440678265,33.57000969837565,35.51775839568463,31.613426924644635,30.774507453996147,27.862505821377415,32.5458285886079,25.6767029876898,28.947263647045954,32.57718484268296,33.87564203835682,37.995822055240765,37.63991329724373,40.95834030682101,39.739122982906196,42.6437564580536,42.36660595948912,43.304418689742214,40.231002001812016,36.360322188003366,39.147524063934206,38.567009524014935,33.94831604574977,33.93502851795162,36.27442788757685,32.1155031098767,28.903358913622643,31.274240645370423,30.714696521140937,36.59054035376767,38.906575796451975,39.891222547543464,43.95057836616855,47.32138509289297,47.10449264072045,42.14339789351519,44.00892439908066,47.253330446419646,43.70953955583887,40.71723595432819,44.339239989425735,44.44899624611722,40.14267900428683,42.27133130928181,44.723188762363506,41.98759550504172,39.754305932076555,42.07484169868147,39.13845255519064,41.21876669358443,40.61450274585338,41.15341695939518,38.96612256443137,35.049557842174956,36.52186822720851,34.98705625550584,32.330839602216265,30.914956792922357,33.165889343136996,29.681839823610236,26.427765035859174,27.857221826972058,28.93141536694072,25.350096821845412,22.78331222038312,21.15248859939187,18.62849350237661,16.56779031911919,20.975076869830602,20.512928479035892,24.361247214209797,26.25675851611289,21.59698159229805,21.07851229790505,18.485166331751724,20.68681357186949,25.057895910178033,27.175683488119375,30.47896870709853,31.239352251893035,32.64848579871644,37.949413452993596,39.42117895200985,42.583804374443865,38.299173705875624,36.8047567680451,40.76500999578452,39.65665269176996,35.56553661390809,37.8008327716695,41.65816178521645,43.35430322339132,44.288694070940906,44.847876853359644],[33.774416752363834,30.935696900400092,29.022145793035754,27.637512554854645,27.475596143207238,33.75925134342725,35.31056496029404,39.48529928136774,41.14489308069903,41.47738930195677,45.200759999906396,47.58507088334359,44.75048063465409,44.278691395981554,49.078569961941206,49.03687865984519,45.429677857257296,48.78778281411969,48.67844378769658,49.45314302008292,51.28873988670055,52.84960708512023,52.753597202000606,49.9600208549022,47.56448817451528,46.371978477357565,44.74723828353283,43.76133612674938,46.934648337715714,48.109626331915905,53.735884341788136,52.63889554482448,57.195095012312905,59.60113240612143,55.7744573229396,52.79965945483763,51.23799529451136,48.90551004151758,46.11315632077661,48.609384749633264,44.90765276848247,48.75067759557467,51.7235591676472,48.8105165010473,49.05527578075784,45.74776423037166,48.64620940956507,49.981881892767326,44.847896165801295,45.988596446585305,50.2231705906139,50.25008952927086,54.031715127478634,50.94021061349554,56.665629055272305,58.228045500309314,55.047504069437586,57.20709472451234,61.31372957023745,59.28000357479467,58.145640183065645,61.662735042343066,61.763057427313875,62.30325172144917,58.52247991066476,56.19427465593609,54.98581233852492,54.06208745895245,52.09900486493676,52.35230224370416,51.17237866930621,54.08474534835191,56.10241753521619,57.30997917366294,57.176638191126116,62.77228807059079,59.70682388671009,63.40264449018776,60.69894388872932,59.32443918673319,57.33490946501248,54.173297989727644,52.99681573494632,50.466770035874305,47.16598348802488,49.35952290406165,52.03372907964271,54.88299985181317,55.25309485407653,60.43092847219379,59.14939412880517,63.15243422037309,60.93005264174181,59.698468209808865,55.37904440490261,57.29586104726455,53.268952312662314,54.44266238936333,51.8584963318631,53.25142262487657,52.385883861690836,49.81973274320764,49.71073152429124,46.09713362550436,44.975773539639434,40.555381603897374,40.63253432846266,36.963432455357136,34.28633211788154,37.76285260589094,34.88993247254545,35.93793839281044,36.75062253472278,35.2725256780529,38.53158871356407,36.44553258248222,39.949907579195354,38.07046821700368,43.8572193638799,44.814616239503316,42.50276754229502,40.95240843638479,36.42444490919606,35.42525839045234,34.84205524496444,31.68829977410297,31.12761750149687,31.562220112524578,31.60077401476226,34.86244852362278,29.921191058781194,32.82804134026771,32.36441169330719,36.81950147090744,32.08643535195493,31.945808844827518,26.416585086845636,28.608277081831034,29.273637585733532,32.633839106513314,32.74203031968235,36.32087155151271,39.24107681482577,37.71866694116778,40.522288065308395,42.34024537472924,39.498758644515,40.952731075304015,40.179880334832426,40.59123330800487,41.15949774328095,44.12100169472647,47.406549008694014,49.51687770067807,50.8082321691768,49.60384487935594,47.17051970757395,45.32103077472746,45.73665412029939,41.77614927776441,38.84519352356321,42.7224863178622,37.98568669780775,41.69745017592559,37.507322558808454,33.003485345352665,32.36217742003033,30.444593021166416,27.218738597751393,27.503025923145678,29.2433534092885,31.560039163947586,36.173052811754914,39.4943981221712,42.932391311083826,45.37813312487036,46.93092939000608,50.45428097547583,47.665140457488214,47.09905151333888,42.81474897844735,40.41549663201627,40.177519463509135,40.04075367276958,38.31754012298678,42.44821979913351,43.808389278763684,44.421136182761074,40.860670035360016,40.43280925375909,37.850500944407095,37.394858429194194,34.19090921590302,32.16613896356461,31.68585475213679,29.635296989834377,27.177059203687016,28.804374101178244,26.75632918466279,30.399434926992416,30.882732073836213,33.85431768751797,31.35770488410456,27.98869674055861,31.67837284980224,32.164709812628715,26.412891215792882,28.48327725308995,34.115440870595336,31.074186536520713,28.924470660744003,32.06844798821528,34.20796708888962,30.669549292548037,29.979100447936915,26.760303151985887,31.385977596996703,24.139022251503764,26.91542139658714,30.669352767710045,31.519829894930492,35.947228534131504,35.035251524508254,38.07314137991089,36.532504920795425,39.17340860980235,38.73398980698613,39.415396878967556,36.5395144682089,32.67279832417732,35.15348339912936,34.433679154214865,29.946354602270386,29.802829009006285,31.864797426199488,27.746439127451268,24.674258966328733,26.785695670168618,26.696450165485476,32.50232499134382,34.839565853089745,36.19926585550639,40.23965183626666,43.81281251232687,43.610470005775525,38.67289531267738,40.85806304665242,44.202713660447934,40.72087067831415,37.90576504409793,41.808687117708914,42.1299841444222,37.933352721090664,40.02965490425551,42.74995228390807,40.3425677892004,38.03778173577635,40.2456975884632,37.0883319915701,38.75939436701076,37.78605054434499,38.13328030431617,36.41043485559551,32.45165734391767,33.37876163317172,32.05500266728915,29.661784757908926,27.713577506316103,29.771825333808557,26.770675492441022,23.44943471726761,24.195140325097647,25.414251806731695,22.300501882424996,19.70086100390311,18.508255966490573,16.1421304040938,14.810293554353022,19.627554819481368,19.241739627079234,22.51496101192314,24.807308960121052,20.46887562641059,19.15534884353994,16.10573456326439,17.632271357098514,21.93803344463851,24.249975320485053,27.10710237133739,28.349976976304635,30.150113865303645,35.15087056577241,36.74168155536102,39.985695890549025,35.99870457983906,34.73118485448943,38.87540320047276,37.867043444474305,34.139834024031764,36.34884619535605,40.36694653642514,42.0995271226867,43.05296091334896,43.69751646338913],[30.147399154604013,27.2152723547434,25.15461505226201,23.912052290588633,23.688104808409975,29.972383837731243,31.615735589896865,35.74373661573782,37.51106870835415,38.0203189673483,41.760315378316484,44.02016812028476,41.34850265667093,41.00789456367951,45.81061850703292,45.754421553374605,42.31574556875099,45.84253691365936,46.04666289255775,46.79362986742856,48.86810619779771,50.53133986522149,50.630941625779215,48.00644126401166,45.39753275216101,44.04071343603562,42.207170372076476,40.97259854292016,43.95262363507316,44.911207591927116,50.587318306230024,49.30402900389287,53.839951915537675,56.396140942985085,52.60862865770612,49.77544324081273,48.071916069155336,46.04126752951012,43.37259004071379,46.02739131259933,42.49751337645843,46.30357089509513,49.38272156510566,46.668871107983314,47.18956210676921,44.055139034141746,47.10169123338173,48.11395661187445,42.89840065206891,44.295740092182456,48.333135863802255,48.17881580722912,51.907940174006505,48.58629889769336,54.24252227521712,56.0315530654272,52.832917874028425,54.716646281044625,58.94067684109265,57.16574717958071,55.85265321187204,59.21834749090088,59.147220951029084,59.91757365581573,56.19805799461883,53.65344851328396,52.48187198477861,51.321421279543074,49.445638769520365,49.48714406272313,48.43653072798163,51.439781239452884,53.32206904664134,54.688843204537264,54.32962290588238,59.98378693395098,56.93890348291124,60.51667890841385,57.847365084573106,56.58763236096542,54.440676816879375,51.4055640971169,49.9725484348101,47.62147326685104,44.38316223726729,46.4088807051243,49.22402370071918,51.85152455716371,52.37181406544077,57.3895414334382,56.141448423240924,60.1678892538,57.83239212856056,56.461492692663484,52.1016010423092,53.98829711756854,49.94257081495011,50.99481311671361,48.31624950459192,49.56177460913201,48.8452432405109,46.1716060563976,46.25182078469789,42.542987601804235,41.62485983385756,37.05978967261668,37.15388599742884,33.58421948096872,30.719312732951767,34.12091950678778,31.157014227939495,32.37118856091992,33.14372130534259,31.876624532057452,35.26643287248815,33.40163495936711,37.047261655018985,35.455340712530585,41.36411368482895,42.00548424450085,39.71345110364492,37.96435441357742,33.5298248757664,32.279940288456785,31.443979773265728,28.30513377234613,27.41393336648678,28.01699431602029,28.051111044813144,31.500926897759808,26.64098075525609,29.702622401150276,29.50083717621364,33.77295369106333,29.11079432530132,28.786454412715816,23.19883525776027,25.52384897272437,26.3459141203191,29.820079747902117,30.412060349907208,34.201009684374014,36.827336854203324,35.0561379095092,37.85863418268783,39.39836472025253,36.47561644735685,37.683816996692926,36.75315161094626,37.01590074732651,37.450577544756314,40.36697337207773,43.60295011504423,45.6758414826708,47.036977755771375,45.876273140681405,43.53645285740656,41.66565003690348,42.242738825737455,38.28888354960543,35.60578596859811,39.64609065452648,35.14911762731024,38.93287322970938,34.987917266196696,30.66041360847877,30.044357886618307,28.564037661920356,25.067183240041025,25.08867922973514,26.59239087457127,28.748002516831534,33.354121210353426,36.539792146529486,39.87297392276161,42.14947339844466,43.65530433081058,47.203530229840766,44.631071654855894,44.030548966643344,39.97779430162236,37.25483550417004,37.35110297449398,37.48194068575603,35.73584281483353,40.04215564907297,41.36543052030548,42.32844252579736,39.031796431105995,38.58129691752086,36.14458265878186,35.299231968469726,32.100418239587206,29.83086103819526,29.23911240587717,27.173665358418567,24.30652446383965,25.812806905120272,23.48592803454673,26.919621306254438,27.472036616607706,30.246980791382892,27.645560061855512,24.340417099197456,28.083646539444644,28.372300391687453,22.57449678163622,24.823623555726723,30.432927069187528,27.258741817008758,25.214597708903465,28.477307713940153,30.486170499297888,26.978375229427307,26.521742242349866,23.274142581853887,28.10407816027697,21.053330904596315,23.623984406666942,27.524736404865305,28.70009593350076,33.20367326305774,32.49329055700615,35.35028023132842,33.68538069860005,36.34049730059027,35.68544524361247,36.70896116128176,33.94913663373607,29.71154906128213,32.30260141088828,32.03684499034976,27.423694297379477,27.0394723256182,29.388321844568274,25.64812503889224,22.21029436273629,24.198463026902516,23.610432541052184,29.379850823275792,31.789038501643258,32.943039082184576,36.932764357596646,40.48264416169438,40.13182671801255,35.17597221928624,37.3605708483836,40.58934021747487,37.01502978205968,34.23075979502932,38.11594500344324,38.35352405424348,34.15979345860442,36.41140655243363,39.082517577533366,36.59900192016612,34.436972937987505,36.77420742586327,33.65050016320718,35.382837206271034,34.34175361923592,34.93998219789736,33.24863765277707,29.026991824556248,30.15473407682081,29.07854618478028,26.534768799606386,24.484450976287132,27.058555697817688,24.191478310455075,20.39812157922322,21.360259128367073,23.166855432418615,20.085166423869723,17.029134288239113,15.244965141457028,13.707183203563593,11.828601439742869,16.721572859624036,15.74257941034391,18.840493393554947,20.998624852111146,16.722886841508437,15.295815715234037,12.335267328329511,13.909927673797306,18.30012709310345,20.450786820039884,23.47060627794339,24.617083870134646,26.27734400285422,31.33278291496298,32.91487743700675,36.13790675588108,32.12609353079063,30.828092785412633,34.98432002743892,34.00453850367997,30.27762253920825,32.49726096891161,36.55874011175894,38.341343918197815,39.37156173622298,40.085316331541016],[28.009290282364915,24.794234178922494,22.157734692165203,20.71704002914017,19.721054653687162,26.238884474465063,27.54629339130747,31.63206574987536,33.48627687169165,33.80947386767944,37.579130249863354,39.78534500820796,36.916748462659065,36.74994942335475,41.44760617401511,41.26105709951456,37.80373177933004,41.317661611885434,41.61285897490807,42.22720979751191,44.39316942518045,46.027585728165526,46.25423057103522,43.73597468973149,40.99519013164283,39.63401916555275,37.65819475831805,36.39455650911107,39.3307454592338,40.27088517577732,46.03970719480982,44.69737355633069,49.25534700157704,51.75229089888166,47.9285712995876,45.10610264749022,43.36418386583941,41.34010817162417,38.68706821868351,41.374550529596824,37.91329782060396,41.72324549701559,44.819643059185964,42.197973390795674,42.881817039748285,39.86672059451667,42.995717780373994,43.78924422025791,38.54258773292204,40.12500695047259,44.03231767285267,43.79908643694232,47.47533810531288,44.025780658762386,49.673337090661555,51.53542877291054,48.31270766105795,50.08070337410101,54.34798744080469,52.69014615643746,51.309272975273885,54.62517998075897,54.517165367177846,55.392957549087406,51.685580356569744,49.05944051238804,48.010361581238804,46.795172969525716,45.07923747550556,45.13117428715924,44.20331030811091,47.32833516335541,49.02696173526614,50.33022475004205,49.833543391577386,55.442758130966844,52.31851571228096,55.853194533939735,53.15151250202074,51.88908199809951,49.70983871922762,46.7024574187709,45.25534181116148,42.95563394545747,39.69760010787743,41.67736290012323,44.5116216077209,47.117834551877316,47.68465210375867,52.69539607212068,51.515113268148795,55.59344510492219,53.29811121738113,51.936952137733876,47.62957862215687,49.62823000302271,45.64589301692035,46.547524453115734,43.91734001925742,45.269982468511174,44.316685291925836,41.73147581844621,41.635476465715556,38.039714174060194,37.10401437590681,32.5978065473628,32.92069019028777,29.37846322948469,26.558561899232483,29.86626455862503,26.905367533587583,27.84099496079534,28.713812330572487,27.303851545424642,30.77331580940958,28.9188445701922,32.55502439564759,31.076053904862373,37.05126214791105,37.59824492718689,35.44048519409704,33.68635571508273,29.320455847363903,27.99609059158897,27.186612351301886,23.802419061216057,23.135588642429138,23.47055019648859,23.589143178783576,27.00579361492118,22.27950825593663,25.568121893554963,25.20670383777017,29.366684696654982,24.556841574087617,24.09609701609995,18.535611516606558,20.812641904215802,21.75224141491526,25.194775006467488,26.064485363909085,29.876415721663605,32.36173303449423,30.47557036882591,33.221688039905395,34.722548800461155,31.815335468143175,33.03635189716085,32.13097760343099,32.55875785423412,33.1108384083609,36.19223854420451,39.47591105867021,41.81995726572795,42.95196292762758,41.59562461835218,39.13499124050969,37.23636177264772,37.66549866894724,33.69655261263429,30.89844398116961,34.91737061505676,30.447375659226726,34.23443465357476,30.38706323270654,26.132945270033783,25.59754209617693,24.386727657828516,20.791004508598085,20.575366245470377,22.002134023810925,24.05583388558289,28.679631948804634,31.85107831023978,35.16526915091939,37.47891381981218,38.95558575401651,42.534830515831125,39.935670697717704,39.39695988177513,35.35690408580906,32.655867828658295,32.896411217512,33.14152301573501,31.266716560003616,35.54777456706627,36.7831854748357,37.94903075238848,34.77575521672797,34.383983538512766,32.122743340755925,31.03729272938439,27.988045914765937,25.66854584871713,25.210324444977587,23.427916598297156,20.262169546921847,22.077140400444478,19.92811621557521,23.13634351278097,24.31251025171734,26.856564067226426,23.982943146372747,21.241277603265377,25.314165813105426,25.292502192006147,19.623533937996957,22.489971327078553,28.013197821619954,24.698115564495403,23.170126358359855,26.734007515608674,28.34237956088519,25.01715677806323,25.314775478255427,22.04119848653035,27.2061706891049,20.640223766475795,22.466040381821003,26.592368236526802,28.016263457968545,32.72863888057626,31.962515445067467,34.28237848516506,32.17560063068659,34.54926735060077,33.31108805869931,34.61718073265368,32.33237323444591,27.529563120291588,29.835864265375577,30.16199944708431,25.631156144613833,24.59276404854442,26.88659255140485,23.956473959024542,20.294136234327663,21.24405885076159,20.668366281014226,25.93963113512057,28.683720089583854,30.024221105196393,33.779730891361744,37.57606279656013,36.77947379129188,31.8591795266811,34.52084196644016,37.48113184348218,33.6451691534557,31.27635552185557,35.33466412197595,35.449957202017046,31.40711402587649,34.08861158024714,36.75176009240878,34.21667256157595,32.47594516159971,35.03716460500469,31.92291897563729,33.49590304531008,32.01950916765555,32.96828576045604,31.750675705339507,27.048790045428973,28.08517858750613,27.697841100133758,25.170489740076615,22.482664640087446,25.727468484666282,23.59687929471687,19.140434475885378,19.693022381054483,22.507905512478953,20.06517630323477,16.525921351391098,14.188049526772657,14.317207696329321,12.22167350355526,16.963772525917758,14.814326224670138,17.037795610000625,18.66282006770771,14.72875053895089,12.801261773931298,10.2610082238348,10.966525198760126,15.443876425753144,16.68537307844767,19.532490169316805,20.38039233290309,22.513430349827782,27.50523901799794,29.418459730907756,32.390588242225384,28.309190896974762,27.498109577235375,31.692012636789542,30.345981644342302,27.085753569001675,29.656837442815135,33.753624201070515,35.57303849724555,36.66830146821065,37.543866252249664],[31.213795100203146,28.063480601107507,25.319715611970214,24.81624232300509,23.572072399259444,30.16820331802276,31.636799308775686,35.45062413682539,37.73633842746202,38.26223244527664,42.05902881846763,43.98083792927555,41.14735453416484,41.351353927825606,45.90497922285367,45.495229459611,42.12500650281518,45.61070312928184,45.955924360519816,46.22244392005663,48.37255610523822,49.659709465700544,49.98528510138669,47.42608231731898,44.69776477957842,43.683794387057475,41.54572414301428,40.48713777075911,43.36484366341708,44.17924935168486,50.23352404760245,48.54243627845032,53.12241041427641,55.59300571219418,51.64631819441664,48.93790839688862,46.900855337762366,44.894236359619406,42.102510006674606,44.177032415538136,41.09002862803879,45.209710578752215,47.9993670121882,45.23336659600873,45.9285305493221,42.75161980353003,45.59792644117472,46.46238614876036,41.181193121466045,42.20405738241861,46.14022356223205,45.82364938435619,49.62476298095044,46.52752201556392,52.05155514575019,53.99169547765619,51.0814716904477,53.03305113987536,57.14617851949377,55.53091303405667,54.5528154459431,58.08381711720266,58.16449568688222,59.13090174274175,55.32032699224832,52.75007345806586,52.12387349550618,50.9856850614741,49.568909956227266,49.7120822867932,48.92569997012539,52.1586735105963,53.671969198432606,54.803768414284654,54.14562328456861,59.6064854726752,56.21669638909451,59.64743901728708,56.72734295745648,55.214544338037385,52.824963282082,49.526557859892975,48.02044596414558,45.37365461096639,42.3800946370228,44.727359923617136,47.807969992974925,50.40302539783395,51.35150503662719,56.377375195014025,55.502169370469424,59.72991260720568,57.5215789082099,56.10451833535561,51.88355867606909,54.02123607461977,50.11209639725729,50.6241893372559,47.89714735972482,48.93188342570758,47.87472755596923,44.85476947868326,44.765631329258134,40.7882230908711,39.31761663999211,34.975646975009894,34.63747025597944,30.85591503636911,28.397872196346274,32.14306082347555,29.731212085342353,31.05924018197159,32.483019442863714,31.272380483380793,35.086555606184575,33.36079261107564,36.94815932384662,35.538018017551806,41.526939028493146,42.10508375950248,40.153218518599196,38.40932035202717,34.14456778982319,32.70267807697383,31.725090059010686,28.02055736662931,26.83665090647781,26.826843701071788,26.277280635031094,29.2302783975995,24.04913988558089,26.59235933278616,26.423353253452706,30.91612294710169,26.626398429664004,26.981306812898268,21.435978113717976,24.49577742247996,25.960215919078408,29.165393489970782,30.237121397089467,33.678455017902564,36.3290119048381,34.42046836709204,36.86620026331758,38.528193697578104,35.740082116214076,36.878196780016296,35.70558717445514,36.3398405577271,36.45241379815403,39.801465837912694,42.638191199639,45.21439577134218,46.58097838345539,45.062259634353495,42.79855351656191,40.51296421913913,41.195311638755236,36.76457547914935,34.10085853861518,38.28918220375522,33.90301433647632,37.28960828585119,33.081688364908594,29.100541807609357,27.784137299407863,26.325371008296912,22.714494012590446,23.377925704167474,24.550928923600722,27.173997242010007,31.371479283175283,34.50094339789943,37.94371036045802,40.15831592026371,42.123471425721455,45.22148310099275,42.55923732555494,41.67867072800498,37.578444255394324,34.91354596993238,34.48052469699571,34.409682441414915,33.00734938319808,37.56535776232277,39.33027014785867,39.949564011689255,37.052611428471636,36.0549483660533,33.37767998851346,32.54942340985298,28.985170258632273,26.629834378105695,25.76483968782058,23.398144995077338,21.00384989843918,22.314759113371196,20.30925032239161,24.177823931847712,24.534060678019284,27.770016434682272,25.540533034610732,22.12482305524962,25.863386439332285,26.801106813553705,21.44194452208966,23.332232819185457,29.01754284432359,26.669041124194862,24.775414280666663,27.915617995843814,30.26437410648481,27.322244205600814,26.804008192172496,23.32611637593279,27.71982833595584,20.371131911965048,22.33022572432802,26.171586948781968,26.636869219949226,31.354719951606736,29.979483438678653,32.583435899373036,30.64386420702603,33.01433562147695,32.33995238782648,32.95689779154499,30.322873487291737,26.291997842316032,28.559071524484985,27.96388752259835,23.523264844909978,23.1675115536076,25.19318945544331,21.318119358208097,18.140639100934056,20.12640122935767,20.102147341787493,25.89288433018447,28.17762017746936,29.727030989766305,33.74603996207365,37.43419697032811,37.27566805372928,32.37967006831565,34.77788564383619,38.206141160087604,34.854230254833574,32.183692715502346,36.320026686487175,36.88349825801557,32.85258406602065,34.85381308595681,37.83543438741868,35.85381988289085,33.48785007741739,35.54515235411711,32.1930671757974,33.40294927468681,32.03937554270454,32.26038103938016,31.05677533894061,27.02514838849779,27.419807274074586,26.4395993057816,24.31072014015747,21.769538433826423,23.834110946016317,21.501982092863916,17.927577198255445,17.98921091052106,19.718708567350955,17.257053792284882,14.406073729655585,13.564428577829709,12.076054212434132,11.682773576617393,16.50667024578901,16.097031862362712,18.318118402629437,21.104859284291845,17.54388578383659,15.230917648902912,11.75299820340232,12.286399238789157,16.223034468245814,18.953073525893544,21.28131083174595,23.263116005407976,25.202340252871384,29.72760626116248,31.29391025566391,34.6852397519248,31.19646108732059,30.02643827923481,34.31921013606779,33.672135466308085,30.342739716850815,32.29955083668604,36.46142446478919,38.24501584376335,39.27634244339016,40.033695181892746],[30.147280528411457,26.749763934562235,23.36577065308885,22.947611691065887,20.71338418816775,27.498098461951994,28.591284161245998,32.22034211146417,34.725806035610944,35.08011043426444,38.88613753347956,40.64828969418149,37.59772302677726,38.12205584067009,42.471198105252526,41.836777371666734,38.48453445881214,41.912892071995444,42.3626738698605,42.35661711637929,44.587311436069704,45.7161237700537,46.21529614237531,43.76433328179561,40.91348874562197,40.0241122866888,37.68263696960199,36.68080645145478,39.47820070392931,40.23790312972741,46.46572602879744,44.61100000214237,49.21114592464184,51.58463845427627,47.5640120153249,44.904403584852375,42.74025276153101,40.735116657174146,37.91521903629903,39.80520073399283,36.93174212748256,41.14715393220723,43.84279654957655,41.13815629614793,42.0200930621282,38.93636707119449,41.77650354273778,42.40874693520636,37.096364253985044,38.142094368809985,41.93467775775677,41.49962641898774,45.27925406081094,42.158227466688786,47.62928869986189,49.6642903065397,46.83225525630036,48.715542006566494,52.820007770342684,51.34534403065972,50.422399156644886,53.963265902662954,54.069651025349884,55.17312582003439,51.35038750600903,48.72101282683076,48.37454547559772,47.213788986753265,46.08428432679698,46.2776710772164,45.67793335888486,49.05275047219887,50.300351848740874,51.292995515714594,50.44037487193598,55.779926444768336,52.2242042853443,55.570073381099526,52.54904027228193,50.95181215017397,48.46926099952036,45.108131876367274,43.58328767689181,40.87322529871387,37.93801653407153,40.36583197868127,43.536456094716726,46.11075609371328,47.22604748844466,52.2477291424313,51.546715084359036,55.86945678318742,53.7482074052405,52.33953399831545,48.225893159730596,50.53197205239282,46.73918663717289,46.95742528729327,44.2757293156642,45.34302751940308,43.962781615093874,40.928942476028226,40.60856497890453,36.661856216544535,34.96785221742935,30.77603521903415,30.497517057008718,26.654635906776562,24.412843313331024,28.194277083165407,26.016400934428866,27.111061544370415,28.861390051228973,27.54534164645073,31.537115166937188,29.876899803396153,33.387108558345965,32.13874950672329,38.1445888872091,38.63227073972076,36.924763752144784,35.206563372136706,31.10723645988438,29.569839726453036,28.59306838371968,24.520270834753692,23.453564563452787,22.944219604261324,22.231615935510032,24.924564208537955,19.729787528697717,22.271138581386452,21.933753763718087,26.439581906713787,22.147390910974575,22.684268288242187,17.22447831336043,20.543926639916574,22.361639387350223,25.368214228619262,26.826581122630266,30.10405692273535,32.630085680460226,30.600931437346528,32.84489753591944,34.52223930340646,31.82166213745917,32.95246448112873,31.73204144576981,32.652218897587275,32.76587936748778,36.390682032027144,39.1299916083656,42.096136567309415,43.24551074475105,41.44726473267355,39.10367303608463,36.668449412899115,37.23807746494483,32.64338122151852,29.87395288440583,34.071538839101216,29.75765672942061,32.97668275701099,28.757780610525902,24.9919590160706,23.459621972631183,22.242128594461544,18.51019456444696,19.27376946542188,20.219389785175828,22.949636876006466,26.97132637776465,30.068426974624096,33.53636285538784,35.7710845725653,37.86862672061705,40.83568431272033,38.104270144841585,37.18816935108173,33.06670288089614,30.463952682843765,29.94479820944013,29.8899328466791,28.491893075534655,33.11389535693824,34.96037524484089,35.623285567381664,32.97449277024767,31.837373335535574,29.232920560243667,28.199522918471438,24.624143909725067,22.185819361756263,21.341848726287367,19.118654705777203,16.620774946012244,18.200303841651223,16.53881746125035,20.397385583665088,21.30879888330307,24.49149431894514,22.148787175236333,19.26411298524155,23.299121563412964,24.163637186780736,19.154112009290646,21.466936386128097,27.029272957177522,24.83684582146545,23.48034293250473,26.80576732533079,28.863313063982787,26.273146349189215,26.39360375155162,22.90427357100269,27.40109970259158,20.565648709406712,21.642787952074098,25.60877642128078,26.112834565190603,30.997035034125116,29.43369928786142,31.44580067230701,29.003383490744238,30.991588651956246,29.7390200873077,30.494890054293908,28.384143166926087,23.875374069021976,25.72496265772463,25.609236993710166,21.342022732645468,20.302473558968632,22.13028988834734,19.072228139954788,15.771842104059631,16.577023478935885,16.85012370944282,22.14032901298921,24.733542225620045,26.63503412544056,30.430383635891054,34.40835165832429,33.884767339405144,29.047991059756356,31.98103962462241,35.21158857896662,31.691504560038258,29.46648062241135,33.827157804700626,34.37447137080195,30.558907585735973,32.865733784673154,35.911335351007665,34.038487250291695,32.014197042396184,34.18165988851328,30.80061841209212,31.704522928497596,29.840328895545294,30.275713409887477,29.679586364922,25.287800887285965,25.352459302141984,25.08415106005989,23.124484147348646,19.825389503401894,22.369885566444864,20.97806685793741,16.890284041608577,16.192914344591856,18.926274329104334,17.38204089333373,14.217645436349201,13.151516054633433,13.404866187917776,13.099180680152617,17.505211816836628,16.24032348382331,17.3723613091497,19.803859146279926,16.872631503743676,13.962836738107997,10.863802148599198,10.033614938970635,13.737643979301676,15.788593064075492,17.595879288891254,19.65187665427456,22.125025847242256,26.35076891769772,28.21755989174555,31.42173831616356,28.06043435023971,27.38849447804148,31.72412141431779,30.859209724906396,28.106114133927655,30.274562439743725,34.46608140615202,36.26769345374165,37.35899854627679,38.27031215847328],[33.41282290254093,29.98071839855414,26.639670650097614,25.360381529946686,22.9701531208671,29.7896022491771,30.37338170708947,34.17355659300078,36.29731880611008,36.03478715250454,39.80626357815544,41.90531122434534,38.333230674397115,38.56240910613795,42.86597336061074,42.239213722924866,38.473767478677864,41.521633358315384,41.34510772017165,41.40465173967619,43.2051978808406,44.20790685104887,44.36630648103266,41.64992380734108,39.11832787920585,38.46621502465559,36.50454797507546,35.963996395778075,39.18278761620383,40.462239794142434,46.535955304756385,45.177033732270786,49.820176307524115,51.822094536336785,47.73890341215795,44.733624909642145,42.975318359974736,40.28944128441648,37.24609391962241,39.05199228598545,35.67747663928464,39.88687092422397,42.483928102538705,39.46553945789996,39.88707150374407,36.55274963160358,39.2788129583532,40.406000354909835,35.2063159565132,36.055877032463044,40.201468885309744,40.13546551459017,43.9636417923652,41.10029590460501,46.75684299290116,48.34171956789465,45.40911930474574,47.73149321487726,51.68397387552689,49.73385729868761,48.98061452505833,52.738915510695705,53.11520800913334,53.792635831718144,49.871706069651054,47.60857126853622,47.1398399968173,46.412416159103394,45.133408109956385,45.76089536480299,44.944389907929754,48.20580057389295,49.63946811282167,50.29240439592129,49.85604043601071,55.09079730514499,51.50981827719368,55.11098781476499,52.06870164886895,50.31473545472358,48.23487033451478,44.72661566938352,43.79749816825483,40.87363694181161,37.66052421022448,40.29020951519424,43.05530749732329,46.112884128422344,46.784164183030725,52.143138130251685,51.31442187021943,55.575905070619505,53.69918196941498,52.62114952624157,48.61427195546706,51.02175765163351,47.30670366262624,47.809075187741094,45.42091326971342,47.02742351922329,45.173647199502525,42.65890982072866,41.76165425440746,38.32266271212529,36.394273707496346,32.55993773196374,32.745385820339926,28.85916900181613,26.968688927504367,30.57928689339196,28.388115433194606,28.671864833713617,30.322479673319112,28.320492810544646,31.906237828745983,29.69820392234727,32.89599598517763,31.059883348358582,36.86814368549368,37.96467539261315,36.25608124704408,34.96730366652212,30.67310908280237,29.690671037793447,29.37568927356365,25.2394862666371,25.36469517920042,24.436741281204682,24.133005252188603,26.50897759718674,21.53457503084072,24.186334582227307,22.936369016980876,27.607626842816984,22.788940677778154,23.302744757424023,18.107888269057003,20.626260052717114,21.920647194480555,24.7000404943756,25.177793403986705,28.13114336104176,31.178745792538347,29.6264037919562,31.94063466289178,34.177020737129354,31.636880719190877,33.38459277890887,32.67761902524298,33.98072422438575,34.68480444014014,38.38394614621534,41.455089205000604,44.58686022249072,45.297309158173135,43.32953591001873,40.61059023522438,38.38785879924657,38.35529819675853,33.96556888226764,30.471513086661147,34.16833795220232,29.277849433632447,32.49093505575669,27.884127554061237,23.616225487454027,22.39386254436242,20.363797138891343,17.153909152321386,18.056002146070416,19.715554627829587,22.553146920417298,26.78907177310442,30.22714628966328,33.86588534025605,36.56624943232586,38.52833994104588,41.65265462567236,38.43168373646344,37.806734316799194,33.181535412013424,31.38105212777884,30.476701116579612,30.00862357597659,28.328160914937996,32.38452340778734,34.02978207533003,34.29162884636088,30.990357196048283,30.201760085442718,27.534809819299774,27.106874767923767,23.85923188708535,22.016524052875475,21.80328106574822,20.19652694722606,18.18200495874527,20.58238351519477,19.736692442313583,23.499566861449704,25.069813581087615,28.140107407465624,25.57051416425625,23.278711489636475,27.49510489761383,28.09856240484162,23.13449644568096,25.86651356485225,31.3381342789131,28.839179473695452,27.693489072349045,31.181881641484335,32.92958278301385,30.14709381191767,30.58869922678408,27.175212264031934,31.935788831506255,25.15487200382721,26.329537041313397,30.337966381864796,30.85747548616363,35.78261317349725,34.068330787859324,35.985631884477556,33.437355491870186,35.21504751402748,33.74112373298519,34.30026461990209,32.46359423380175,27.983002493479976,29.406324700708165,29.18434921881324,25.196851807505205,23.909258698472264,25.159725195369465,22.3128343433024,19.433786000057633,19.254970486667897,20.48118197634172,25.153547853080187,28.021776858120088,30.399767118210423,33.97045603327356,38.19937901363589,37.36200844454392,32.63220279538759,35.9976384447787,39.035174765585246,35.331842370779114,33.48192762008078,37.923964860280655,38.34450782811796,34.627801058886924,37.21331298460606,40.19504351795722,38.16789669588735,36.41528911516875,38.71855225601192,35.38176501630736,36.257706271978904,34.21227923503883,34.71486676250615,34.330418735678236,29.843432530582763,29.78255156830989,29.701268016350063,27.82333129976869,24.339663000146107,26.795292339789192,25.595962928912243,21.596846291619716,20.57832444603359,23.207227294140008,21.807193481062978,18.811486531542506,17.806398273763808,17.677401407289075,17.12656925192544,21.83679562172769,20.31297057206719,21.686401601450818,23.601558823831088,20.352483813045122,17.744087386953648,15.003634916654397,14.2166553118574,18.007153651267398,19.141893132326004,20.68391980330709,22.13061998000224,25.25853752857082,29.48006045501431,31.729056951099718,34.565360872957385,30.983811178100815,30.850775063101278,35.12091173198563,33.64378169029745,31.216508253353275,33.858737745425444,37.972264278735324,39.74301654307846,40.789083298215665,41.72232192373511],[29.801234352932557,26.24513461402797,22.573323732826776,21.075638471654997,18.0909903712519,24.90501192206345,25.22349879084751,28.988411068482232,31.11285820982873,30.78540574084442,34.562027039826795,36.609943358645474,33.02490939835639,33.35976175571967,37.62930087724373,36.97740351665204,33.3002758865264,36.48392050806409,36.59637661028118,36.66764040866042,38.73048709308379,39.921828012237526,40.283845266239986,37.77890426031095,34.98364752418453,34.072686510077375,31.89621170010794,31.065294223667298,34.12904242463749,35.26898065393992,41.3618194439756,39.928230717503794,44.5692431517111,46.6691511968649,42.628116324176844,39.698066761506254,37.89048040653211,35.43958532236352,32.536329400015696,34.71576632960822,31.390118794467103,35.48244527381308,38.29346030101076,35.546814763007525,36.30057263913764,33.24652767585942,36.25021782807811,36.940952691227935,31.662008417712844,33.045840491706585,36.92670830555099,36.69114800235135,40.40548143071806,37.13652169450322,42.78010171036794,44.580748137320455,41.50671440663888,43.46852429125234,47.60936427481357,45.92296777176508,44.83708528711729,48.37710640474962,48.52538972511891,49.42429017775862,45.58707807577357,43.07144117172755,42.558915421746825,41.5793999697998,40.3636465337402,40.798932980073786,40.111043134765055,43.471448342547035,44.75632560241026,45.556843132500916,44.918491175900876,50.23123986365843,46.70924579146852,50.232628119626796,47.26688042339311,45.6872168888659,43.52120396729341,40.220554587131225,39.08157186968685,36.43862500004789,33.16077280135642,35.51494109213962,38.34105818188867,41.21803462595534,41.915585396398406,47.14850665544602,46.28254173765617,50.54838011001244,48.571893911166455,47.40420383191219,43.36541576749183,45.76790725769743,42.05669130101145,42.4978217199978,40.09667941313298,41.74929471988821,39.90020320362538,37.48854065943484,36.622462280682306,33.291055295396134,31.66945138819099,27.699785057045542,28.264413179784196,24.55440252201721,22.457679989977844,25.796243463366505,23.406544310124932,23.459168036464735,25.016048322291677,22.984140042917147,26.634019198479884,24.559983478722565,27.87128442766988,26.320201480109734,32.263367869661415,33.03839500207955,31.37503685892261,29.933699981863874,25.752014488362033,24.57407284293665,24.158911222774016,19.91759347386794,20.187374518405818,19.180175273564164,19.126057255102264,21.74591164335353,17.066552726199845,20.274904242500458,19.043945952705375,23.3884380865903,18.288160755024485,18.285941517162026,12.998423383403965,15.393646292230585,16.813658953905797,19.722492072846194,20.772400470752697,24.03729749201389,26.68979895371736,24.84663043209301,27.223566072910188,29.167557154072547,26.5251830572339,28.127229223503253,27.397101307894133,28.661974593813753,29.48065452975403,33.1752522842519,36.35672189230756,39.546677114592356,40.095455155424595,38.09515127837689,35.313968233209465,33.171983582238646,33.083615967344564,28.815359023132896,25.36036929972017,29.14776265458136,24.40688448033166,27.83839994425809,23.593943620014095,19.404806001801543,18.52542445126372,17.223996152770937,13.616872605655551,13.750174485606825,15.239161534822642,17.724192833346397,22.16841906350657,25.53210015143425,29.06055561246732,31.697670784482607,33.45757792201417,36.78927782561233,33.73727559180219,33.231223574610134,28.802216701374892,26.71629704517875,26.416562072931026,26.37456984417534,24.408766852258974,28.537867823881708,29.91964766890249,30.820250639497576,27.73576012696426,27.187315137749966,24.929423800947173,23.867143867308073,20.91281070365991,18.803032097527694,18.73536079098576,17.561082985833583,14.666503668143493,17.397532628912618,16.477705934273725,19.629124131919088,21.943020783383364,24.448183230517223,21.470362741554297,19.921102638143033,24.361666729624055,24.35094048069529,19.58066482497247,22.97180517517084,28.141637727002912,25.304635461712362,24.697014369964602,28.4011008185018,29.59044417250841,26.940681444011812,28.129148856722512,24.893562455788675,29.93413844311952,24.0058490055352,24.586498718789873,28.709284210626212,29.805956895141854,34.728152996147,33.37152197359295,34.809758453035286,31.98614617039697,33.615955367465155,31.547981234866022,32.72217757660211,31.333625636635645,26.160354517323906,27.49912565768975,28.23596777572092,24.27019266428325,22.268483371508164,23.7821583425311,22.066351209577597,18.741755797656083,17.48397197533706,18.11174730208782,22.1174798694584,25.37013433575758,27.595867724710182,30.85955207033809,35.191211394941625,33.806487603196985,29.121963773029634,32.80519732673434,35.43088301271889,31.40073753629109,29.941715521135805,34.38057849536264,34.537085165569145,30.971760911047884,34.04872223492113,36.85008699449698,34.62660361831923,33.40412674832778,36.00103870145674,32.83080828273734,33.75336706188419,31.44158464879748,32.51201982449869,32.382614549278266,27.39695156254039,27.605597245987145,28.22544735359956,26.201997950463213,22.39398736090128,25.81375414992886,25.139096799280626,20.469409774676397,19.55275771830363,23.261935483730735,22.211669113546275,18.733176007123678,16.859635313248646,18.339415401910802,17.13459980253998,21.350685634934855,18.717653320789974,19.3084567787797,20.394739284266006,17.64600788562425,14.952686928629875,13.179411700823078,11.662799749481302,15.195575458182075,14.951022586841493,16.43567290913856,17.221306046576533,20.69739682612333,24.93840829339696,27.491424005760425,29.9936571290713,26.215291172590735,26.524974753363885,30.722362642157293,28.8516006696768,26.82784194405995,29.810152185528892,33.8815793695585,35.682307927570946,36.8143884853631,37.91020144394075],[28.55038943327547,25.137240439319545,22.03499197973308,19.47693495105663,17.41637176286939,23.91670629532694,24.24357462928509,28.402667480060643,29.870660545061526,29.35814764389518,33.08398295286856,35.57785098176991,32.04723529470329,31.718520486877633,36.26805007223285,36.009790860302026,32.17499949383661,35.36175014002845,35.24378397516817,35.889621982934806,37.833519181642096,39.47710696014079,39.55423574113602,36.972407584524696,34.32162293656846,32.9925169868318,31.21214776919154,30.19825410228668,33.4372029071152,34.820079973735325,40.453089417270284,39.56361905088138,44.156292636202906,46.293932837354106,42.433376083793505,39.317738510789866,37.963489428166106,35.41400580020472,32.66627342344563,35.56913278720161,31.66950915811069,35.33655416786093,38.49998710457351,35.82398468305612,36.35078631495171,33.37372409312551,36.63400980900999,37.494846842279905,32.337490735207105,34.23233613856349,38.20021397400774,38.169976515634154,41.753789962095304,38.21731114181718,44.014609824852634,45.5878905153388,42.15788724196083,44.03643022821967,48.28781001508877,46.403665717226076,44.91041365001054,48.248576445498415,48.23143700717532,48.87201553958462,45.144162031230124,42.67942872713935,41.51556676339799,40.544124313199376,38.786971692755095,39.1619520206347,38.15409828437427,41.285756534146806,42.98565650130652,44.00722356034957,43.73904766359459,49.26428019969146,46.13157799493313,49.84689923731917,47.17493018164689,45.88593827560054,44.05586213583887,41.09011000906951,40.10370118235391,37.83903992790648,34.26510070794464,36.19645916798759,38.63666426266129,41.58555635962581,41.720672125510745,46.96993005119769,45.66054129826129,49.69367864673917,47.60772002473832,46.53862392170702,42.35989855055379,44.51564427606181,40.664058434437756,41.74329483535904,39.45522140040144,41.457345897916035,39.888216643441574,37.982039906027104,37.21759504355908,34.31681235901478,33.36355986150047,29.213762055068727,30.370280523788928,26.978609578716025,24.461798698399512,27.299133359159246,24.26225301161558,24.01394478982368,24.731850875702634,22.490407613550385,25.537442688376185,23.181097256385154,26.540365245369642,24.683327545285984,30.570432757414576,31.485623015391546,29.41860918319508,28.021898057495413,23.562019443316967,22.693484326446168,22.595727305259526,19.001872298019133,19.934476985224837,19.627041849616134,20.425473486718534,23.591487355247793,19.52135340057295,23.28440034408763,22.014981189228198,25.922886271868858,20.46212012366075,19.484688948351657,14.37170597932161,15.428626547274364,15.789248409195471,19.072816459284596,19.36746915818086,23.132150111520218,25.77361260727307,24.142272906519693,26.999511975672295,28.828450747297587,26.03768788058596,27.814374532565164,27.47518789589481,28.357177997560303,29.681913890596384,32.89556094615771,36.59052869325191,39.28779859013767,39.71110705675352,38.051946236965286,35.10740414464795,33.49244309033248,33.16457276111729,29.54279280624628,25.997468449225323,29.48699700404384,24.58287877610556,28.515046129377467,24.683064879391598,20.056880129543813,20.274036963552895,18.989384974546322,15.78665414038774,14.849634165451171,16.830252076773654,18.49665805463908,23.437517481011653,26.835069347733445,30.17326548963485,32.90771986943559,34.05572793362261,37.93996449402196,34.9762660754339,34.8625178222774,30.522160727384964,28.471961370884816,28.84509782941772,29.04712132034682,26.658607970393152,30.322385170399023,31.06822011730014,32.40595994249661,28.82788580188198,29.042067274893714,27.177739014739277,26.128382856845324,23.78851546214646,21.90545966500925,22.21583766814034,21.46910114625781,18.16871009421082,20.98406225639034,19.713048330842234,22.26795267013033,24.80066861557828,26.75295335323022,23.361744762797944,22.042823565214558,26.48396558881216,25.73512877839316,20.567899121271477,24.426062626098265,29.480930325126604,25.761578352655096,25.145632038152318,29.034573431496938,29.760106262635666,26.58815224890411,28.07398233759851,25.070672067671776,30.593766237808016,25.011912474363303,26.02407254083666,30.248986943059542,32.01233353149075,36.81154658127912,36.024910303748314,37.646802672676834,35.020833427104,36.90096865760463,34.807313647595834,36.38978136259873,34.90115860763438,29.504792256687693,31.15194523274763,32.21037819909903,28.05785590319264,26.07220437289602,27.906037561345165,26.243408274830234,22.682886257621767,21.63973500775993,21.631243398705866,25.55113163092739,28.89082039903892,30.697240066471547,33.878362329684194,38.07540864472302,36.42486159856608,31.728029321071066,35.239745507629394,37.59132632609908,33.2924121529405,31.815615710088423,36.00597072381982,35.78885567359961,32.10773479609363,35.53330971006082,38.00864160805889,35.25756580635363,34.359938060449586,37.28265334468898,34.34066582883598,35.74094194529178,33.67969454749897,35.16303617228708,34.62897262971579,29.39479631460603,30.300239058201125,30.88166496700788,28.469064599912322,25.064204924199878,28.984021904382807,27.836187509757302,22.90061619154732,22.79925781955088,26.57311630624324,24.952712947834794,21.21436115235086,18.545224083655075,20.02497413406926,17.77958139358374,22.06296826346435,18.739388903877543,19.924213754515907,20.216801245967954,16.881782248612126,14.994617426634766,13.850274455809993,13.271832510314816,17.23645170192588,16.25411334275226,18.499563675459232,18.113551553373316,21.365048875018324,26.156825109502766,28.795827004129354,30.99467161707396,26.61754430421948,26.961859802409123,30.977821455776567,28.56357234799749,26.286597495750794,29.705825303216788,33.63857420263341,35.43270460931547,36.55973490713743,37.65338523085998],[27.687663592195367,24.246879976674805,20.915269447152113,17.788804059811504,14.977027855008284,21.08193747101313,20.699095334385326,24.795572212667658,26.004210383290026,25.01160858717937,28.681878372556863,31.281431388086478,27.44017960331894,27.075064711687126,31.513182181200595,31.218285600930603,27.265933000435886,30.37384769960462,30.25240892184116,30.9407161263173,32.95151255664784,34.74067027181784,34.880924810002305,32.42954971658579,29.657538513638197,28.146000304745183,26.331229440318797,25.223794348303166,28.4968986075042,30.008573522423745,35.543114429007026,34.84697844031419,39.43014390781788,41.45732346434253,37.62836039826509,34.430045052333746,33.25864949548955,30.626766527490354,27.963509740096217,31.241645794523624,27.17679738618658,30.63170196226996,33.968150166602605,31.480351611235044,32.14930424203774,29.421593388562187,32.899874478874146,33.49221852985305,28.39457945127456,30.793429663666288,34.55945637239377,34.50252736816123,37.92647923516233,34.111354105027985,39.925531478166505,41.482762211283244,37.88170060227463,39.55572995334743,43.90050252579201,42.09457274654982,40.32857419381007,43.510851969978674,43.38070667601254,44.05244313505902,40.3877196450416,37.83763350773001,36.574193359904,35.54602473391112,33.80270726585986,34.19690550319958,33.23607156322153,36.43341476225258,38.033464366701445,39.02723471645988,38.73324090073752,44.266166251378934,41.18481853160324,44.92646502198645,42.33491355344383,41.163372471969446,39.45887513510386,36.68577624314241,35.79237168285617,33.77516828625928,30.038507348960135,31.71088635637472,33.96227068543731,36.93470518782989,36.860213179483026,42.11760236437449,40.714119970468296,44.71502765165638,42.661099840651886,41.673717009305534,37.542532080211686,39.75751352477362,35.97901069453492,37.116905167807076,35.00164911872704,37.34131438643728,35.50728511495449,34.03620277086018,32.98704440501745,30.560089148185774,29.864296114595987,25.885805095112435,27.68966383779816,24.626098615824382,22.20563619880618,24.478949578486763,21.335883703880736,20.293302414404504,20.754009171450818,18.059376906764758,20.811108347213718,18.27378619313952,21.55375910080983,19.704280165930744,25.63030569728497,26.4938689385345,24.49676590295573,23.17762410208745,18.761224519429977,18.0209122836939,18.2817233295087,14.628546017230724,16.665877171043864,16.041134114867777,17.466057843253875,20.558699130021118,17.355679920638686,21.47435000760152,19.867810994503245,23.18785370176175,17.47888517573675,15.765641317356945,11.317820236025277,11.067320074243787,10.908742439191577,14.20515522809028,14.565452115303351,18.567357622181092,20.936371456737984,19.243009309244204,22.222265087168594,23.97561855690358,21.184200794843125,23.146826533260644,23.130458824099108,24.176208498606616,25.987626063197528,29.173378487415683,33.10579051533439,35.947465036290275,35.92640458993813,34.13572010539482,30.942040113320132,29.572408145165507,28.82241334604673,25.564713161475414,21.728927103151975,24.91530148977378,19.954746934734132,24.101871099837837,20.670298262394418,16.021304298508966,17.03758094264958,16.327533546143602,13.421657712831376,11.372867947299719,13.454617357772761,14.352656620789205,19.490445060172565,22.85077118974837,26.028761065634814,28.884567466152934,29.675303703771036,33.82846153470576,30.848516630403893,31.044005524569194,26.784194766157658,24.923376557589467,25.797457111821394,26.25783342097708,23.496783858370073,26.75918324768376,27.029207402773697,28.87696708704196,25.311680061420567,26.009479343455784,24.677269002530696,23.287484753020067,21.626234515758604,19.922049509778606,20.687472088506365,20.72875650209487,17.156583830440827,20.333596953505957,19.473098567630295,21.153514095507884,24.51869789070064,25.781992582212183,22.08739955359477,21.89213342331609,26.343624662041407,24.95862397218083,20.4016260981857,24.78836283591672,29.268756402130997,25.321050750940586,25.400279380763617,29.374345798634266,29.40859512495411,26.484261334626247,28.791344625808744,26.10590810227428,31.70218178568895,27.07924491035966,27.487280780019166,31.652036925052982,33.76533544552388,38.49063371531164,37.87671839563797,38.982233329868606,36.09267294280755,37.675156593689756,35.013654654398984,36.97669539469029,36.03815653492402,30.252563017201435,31.558883418419654,33.32587028184905,29.458003717095906,26.888500078792795,28.598784873518074,27.979792327997874,24.4418967725426,22.28315865364654,22.170745035489553,24.95365732873244,28.574762310753158,30.394420483948963,33.06983815770143,37.36665499566219,35.096209838562395,30.65842941317967,34.57917565404351,36.38323995520407,31.807609111243657,30.974166686888154,35.08743766734953,34.57807817679287,31.23267774635937,35.14632978443013,37.38109469427402,34.48651374819888,34.252487457020564,37.406942587296875,34.69549870608842,36.02417032876984,33.657965028216886,35.608826712012274,35.46914370485198,29.941203140232446,30.918363887610933,32.1794392649209,29.814644048509525,26.151757528722474,30.61005460332144,30.071350038892657,24.879751859572437,24.629254023187997,29.023709160506034,27.86603483208681,24.019123917628683,21.036705873893357,23.482079031758154,21.0710200823415,24.794750282277196,20.786133507829547,21.1562937690343,20.46041849714777,17.90431207444745,16.218942165800122,16.15720287482272,14.974518066650319,18.16018592932326,15.569412175314318,17.346414335441377,15.814322765886075,19.588006707425276,24.08988713045622,27.139591761510946,28.697404009701817,24.16892940472172,25.314885500076095,29.05500019439683,25.94296362925582,24.45165547969043,28.35999415453475,32.06751482755355,33.8205363019531,34.97391886565554,36.22816653897517],[27.416989000532066,23.80175560828662,19.84253817729076,18.00164224635107,14.216168848302406,20.84604334998449,20.6860619093371,24.380901163364328,26.44170456149622,25.918354841517832,29.679418602817236,31.700242817901696,28.009317917773206,28.45210540211318,32.64526173180889,31.949568963946284,28.325688350991406,31.603524478769597,31.978728589790702,32.05320161676477,34.35607601458254,35.734274867286395,36.28763209004393,34.01121148017419,30.981249895955646,29.814609172229368,27.434529990549837,26.32156521465585,29.238201771566807,30.282068080323718,36.37311137200028,34.92042179175766,39.55924030719415,41.70954182438678,37.70967407027671,34.82492114584214,33.018318675453706,30.75487100864247,28.004226705581083,30.598789597372242,27.29963534070491,31.21579114754761,34.24026145916292,31.79132315938845,32.86586682916638,30.14078546251022,33.40367468446702,33.651386748970566,28.360685985441627,30.323664253302148,33.89637453017419,33.49770660164982,37.05850113526909,33.38571005966608,39.008003669929806,40.96927882772597,37.746406884336416,39.34382955225302,43.653080649091095,42.21290095197498,40.78625095136766,44.096078426851975,44.02680989128877,45.119985799632964,41.37661089187751,38.63223628593943,38.06556875611999,36.86060104151549,35.719711720995285,35.99653692192683,35.44208681015058,38.8974639949791,40.01796587701977,40.92759152212726,40.10669984513298,45.477287832744054,42.01620988119726,45.47483535858335,42.594386833850656,41.191694017960785,38.98793309909597,35.920562722695564,34.630043673496125,32.3000488374574,28.931545594932476,30.969579453028043,33.79623060718198,36.51922714866869,37.18846267716502,42.31390296108153,41.39744765367934,45.658911102071514,43.61096688882789,42.39096240506014,38.341624397651046,40.76197087187971,37.07812288346584,37.47198980732979,35.108578636092155,36.896653539090586,34.96496145029745,32.766744110304465,31.835510877703324,28.74109600682871,27.467911691312032,23.43668809917775,24.558597647159083,21.140557071585505,18.905479525861978,21.782025884969308,19.183357337650442,18.745926106886213,20.162201424762863,17.964016085215334,21.626433033341584,19.65333357472455,23.039522172440225,21.790446329101776,27.82397434275187,28.28172476775808,26.70414142926435,25.147698787563968,21.128470953914608,19.78262134789112,19.35378891819886,14.948835260429584,15.692500842611526,14.450367725491503,14.852426355888682,17.681017894241865,13.651492832905502,17.47892642358013,16.16631841251387,19.930782451924685,14.526230987589688,13.740079894036434,8.537371827853992,10.445336607594104,11.973279155583722,14.977316845171496,16.694128514741298,20.23259582533682,22.399751757240132,20.264402591044,22.699150572133835,24.340121804714336,21.60902396741028,23.116167306260508,22.444753152223164,23.739429644096095,24.80709347523203,28.501559266222912,31.84901225610235,35.13957815535836,35.41195623324712,33.337329733407714,30.42414954230554,28.417760363508233,28.152369365931477,24.086314713442544,20.5721685618277,24.368434729667005,19.77018955665853,23.44462659491754,19.689489046814266,15.647562794760363,15.332471957857381,14.969548236969299,11.242846032763124,10.183349064175415,11.429193386211539,13.27564475962935,17.957653674535795,21.2194361247492,24.590669293776234,27.203679368873484,28.682967831141976,32.27078389867837,29.363558833062612,29.054229202793678,24.838744421374262,22.560093941537588,22.970919038025837,23.39004673367319,21.074806949855137,25.105699135158744,26.11008768229453,27.703556428167257,24.853504343285202,24.65042956535895,22.938596867150082,21.257121187001843,18.84263690356647,16.621379002054617,16.846457839440053,16.386663629982664,12.735012131801874,15.78121405278914,14.996122988366503,17.141871666787054,20.349863525883602,22.071423705208613,18.676926098325314,18.236048199094263,22.741864052314526,21.99054001977578,17.718653761771773,21.74430643091969,26.360984134775236,23.212616871956513,23.286405254619538,27.1132143553757,27.611595417804626,25.185645413226254,27.1981424153592,24.278194754386494,29.452082923813656,24.592745226717714,24.554780131453366,28.640526204401027,30.257069625677467,35.07696296330875,34.04755980139779,34.96422265556504,31.9126245764245,33.31888453312134,30.657583772969705,32.401097781984646,31.53789318272992,25.836900769958596,26.972656777316626,28.633727476529156,24.872122275125722,22.22970876137602,23.847427198270125,23.332210228203632,19.868260234214397,17.515611234709898,17.599003399604808,20.48825752135363,24.070486121724745,26.127891199858276,28.925475910761623,33.32245928756963,31.305791607988038,26.79597459932812,30.82773819601367,32.91465822405562,28.55600423628422,27.651900767341985,32.01291771839485,31.85686705554149,28.558850090138503,32.156138699665895,34.706175641290876,32.29588952684595,31.721413247152793,34.59149107074325,31.66692665040584,32.59840779184744,30.02040852382351,31.66753426681111,31.849463777563226,26.481570689799263,26.92958950608319,28.275219424728828,26.20106108763965,22.1951033074718,26.396017472068706,26.28202675239447,21.232279023031438,20.41036002407004,24.901424046633817,24.22819137486624,20.543777482917918,18.066756621176975,20.77585991574873,19.125476332277263,22.672044925946246,19.15045368267629,18.89157660153066,18.920205240563845,16.937015161436555,14.438635899454061,13.959727345855642,11.887879296197786,14.601687707516565,12.48384856062433,13.66423318907142,13.321382350492787,17.312239109162242,21.423070027457356,24.365944467744228,26.34160255336744,22.36164021285181,23.338403993746443,27.341781626894036,24.911891692080367,23.517599778703488,26.9235591197732,30.839952377689627,32.62669423889871,33.81863014817114,35.07571140828027],[24.871313605597262,21.293754907337078,17.606569095034388,15.90517972764986,12.95391393888825,19.740450352211447,20.271127629608838,24.17184280293246,26.236655358446036,26.25397328245174,30.05920946054331,32.07430249951419,28.905893434430457,29.17661091061394,33.63275872879532,33.179701310315586,29.80065455218153,33.38003168675563,34.05065499326564,34.39434963493314,36.87564067453667,38.51747773667353,39.09789071402547,36.90241698437287,33.82053885749841,32.348767472940374,29.97328236837744,28.482891744789853,31.18800722782359,31.957345631357345,37.92072063946053,36.365622502732904,40.95152050469559,43.42088212616375,39.55739418259173,36.8372366281226,34.94699202189802,33.12908992888513,30.597193669964632,33.4781686290433,30.273354208512263,34.017555329819466,37.208737298291204,34.92303763288953,36.08269353758296,33.455348345968275,36.793758942164075,36.9627527931769,31.686918616885258,33.7774943618918,37.25648617343597,36.78181437346363,40.28941777430087,36.47014293942306,42.01343807482108,44.126915770799236,40.864003142562446,42.231479127253,46.63628602376565,45.34618320494228,43.72500758526848,46.84309040294366,46.559788938409056,47.764707331830024,44.12694638146761,41.22510755218747,40.41988903167321,38.960958597207664,37.60817966742634,37.548553770563345,36.9413374236926,40.31536466051123,41.5864021976541,42.85345653842869,41.979619325936234,47.527146007498885,44.28447710144943,47.666952027848495,44.93654185419629,43.75054636725619,41.43108530715681,38.574012729890455,36.95041561417188,34.88190313915042,31.6166193945383,33.37614184072805,36.316260751557486,38.74374032394324,39.470898585972016,44.368334916588815,43.32638552933271,47.50420214361225,45.22060462102002,43.80184168336024,39.576900835639904,41.76349060428135,37.907032957363526,38.45461683529831,35.87583269034632,37.36331969204138,36.03317002095835,33.5918357503042,33.24441506281991,29.855320368333125,29.04183987752622,24.584451109627864,25.468032675167724,22.142062606933436,19.33109709508111,22.26026512840567,19.25613649989953,19.590782486251193,20.63832777778294,19.026687422584015,22.749872227565128,21.08840429235237,24.770223151616218,23.760622781613396,29.865499931734053,30.00131890333573,28.154973972005955,26.279873831078273,22.206762002315124,20.564455244680726,19.657914903996925,15.717819464259225,15.436356736104623,15.18965515334647,15.586444799895435,19.072428676124545,14.902245287979344,18.817053408460904,18.276666418195298,21.900606983085822,16.840393559572433,15.799007394135376,10.324015755395843,12.485307473885726,13.86861783524131,17.27366379521065,19.17542979486115,23.088694798567065,24.99993988235106,22.709082384476396,25.313404425641654,26.51722530190777,23.592697876440702,24.670776598423473,23.727925841107137,24.4195585829221,25.171291432944408,28.54649640170175,31.903071832322215,34.74291508487348,35.42718611320704,33.71894798172958,31.062276818042005,29.11882379705067,29.316437539898057,25.349476219433562,22.450701212163775,26.527188968312974,22.30030195661351,26.146915574824533,22.750843767515136,18.87951679638004,18.625831059711196,18.453467966670182,14.643337989267813,13.53105469471657,14.490143718611003,16.035917913913707,20.674958477069392,23.691387882373505,26.8693074159602,29.152033436065345,30.50520157008944,34.19064733404619,31.6807419105689,31.27097909483273,27.43602578039332,24.574568383131584,25.40986882493034,26.099214201698388,23.93330846927488,28.190352173045856,29.173313333244135,30.997563199774568,28.287758191061727,28.055350063733595,26.3352042707922,24.51191138091858,21.933170404590918,19.440894054294876,19.257755930871483,18.264699148477266,14.276122930874688,16.62912497309956,14.885453782541616,17.08379443555361,19.69127082361616,21.413365766282382,17.96620379257508,16.830870299822713,21.299092282998206,20.454948998238237,15.552961793803494,19.557826178520855,24.42563558327541,20.949764430056696,20.66102650101442,24.539785478577382,25.190664456691085,22.45936016761815,24.227780876011366,21.255729534361834,26.594313860495905,21.60058222136797,21.909849209767884,26.07944919686829,27.978745807134942,32.72636396660964,32.04088684307546,33.29217026633839,30.51438137894552,32.295736379887124,29.960237056275894,31.91045658296657,30.627598489666084,24.922899494233974,26.62111368212921,28.252174396280417,24.12719857369841,21.849892306849764,24.03307308602816,23.013515109845166,19.186669580238263,17.928322086676324,17.105783659338716,20.81214431048912,24.161406126876845,25.670136872335245,28.765104168070202,32.89061418729389,31.155955463417865,26.451116431049357,29.95602132192513,32.22194991760121,27.903067557369784,26.48163127521206,30.702821258693945,30.510066818161413,26.91644130371691,30.408170078388775,32.91100226403526,30.314345045498364,29.523369126933535,32.44411542514145,29.52804992986333,30.790635794426258,28.566316449488085,30.261138895372685,29.941222884816604,24.545325058511747,25.475336185019913,26.4666549486136,24.09147938019018,20.493510987891717,24.892696995379715,24.2118643010904,19.02169866974065,18.913335062474317,23.305966817330184,22.10675059581013,18.2348036438911,15.300800993594054,18.044324009893906,15.96972085025845,19.499727120108698,15.829844826426683,15.927236155178626,16.05897436461091,13.659627931828197,11.245286283847792,10.771474901265314,9.21615352903444,12.511176132518324,10.911722281222334,13.151330773983346,12.92400963209061,16.129136461759906,20.837127476526966,23.44151410932339,25.75745416902782,21.553591320471256,21.869346110711486,25.98374886017639,23.875771536186058,21.76054183783576,24.988562262457833,29.024306168297123,30.851045494169778,32.073935374130194,33.24797095508237],[24.711792000653595,21.20732133147425,17.71265469726098,16.839355955335975,14.582996840019032,21.358925207947348,22.504645302361432,26.306497336102925,28.626222317300293,29.12307453659677,32.931030556235314,34.75747070952139,31.962513790577336,32.33917142482793,36.83917775380862,36.40438157521434,33.23401913472437,36.939546044666116,37.775335277618446,38.07031636081323,40.61887943825679,42.197164723157314,42.83498832732547,40.637714459382416,37.54798184688683,36.12908737928908,33.684226034061595,32.14219345009608,34.7028951321114,35.24891933847567,41.2825538486835,39.47053455674067,44.02306866427755,46.657201270387915,42.808021080762096,40.251668167978856,38.14470171386738,36.575756785802234,34.068086123653366,36.721414414658696,33.770585628839186,37.62493925365087,40.72116461662097,38.41669796282854,39.61090070157943,36.91018816641698,40.13277862683612,40.32610212095125,35.01402208116015,36.83293753767667,40.314655916650715,39.76144145187884,43.33232215475855,39.63812349531087,45.08487610697326,47.33096397429937,44.21880552518498,45.58532312733665,49.959459369787645,48.76192051254448,47.269592380304694,50.41732208677581,50.132302021028956,51.43671278840344,47.79517918868819,44.85210693718622,44.153676301050275,42.613982553289254,41.306082119049215,41.11826098911019,40.55027777498568,43.912551315594435,45.17953107776721,46.54970005578955,45.570877532341825,51.12157708776183,47.858714731792915,51.139987144717104,48.37012874525667,47.15681438152362,44.65234235171201,41.72912880067635,39.88821949452281,37.74210718456737,34.68131359014369,36.532459144907,39.68271616380511,41.947614102431814,42.928820652081434,47.70629369744441,46.76870413927184,50.97394968426661,48.60947848701984,47.04840372635433,42.78508043504336,44.89938437943406,40.997087569648905,41.41189775244298,38.65380535845303,39.7481074668122,38.7384774632177,35.879962449147186,35.89289034820712,32.084137369252794,31.187738548656924,26.58409304884249,26.867060415811235,23.408474122720307,20.481884708259212,23.775015226716764,20.922830236448757,22.031116951980135,23.235522323738433,22.127650089134697,26.048758201993014,24.642782022751874,28.406797308926933,27.53172428502333,33.64096776184452,33.655303579432086,31.77912261150675,29.763132810812348,25.743700746848972,23.92238586929575,22.66319736293767,18.892502646856553,17.61890816276586,17.73105822691357,17.582914430647783,21.086904305628074,16.44041861587159,19.908437000468794,19.919338489064394,23.76728826622593,19.19137498116006,18.64991911768784,13.049601150841509,15.94851299252248,17.590435154566272,20.974231020088723,22.984370074933434,26.83246226575754,28.77208453607893,26.425531142233798,28.92691027641177,30.02861716179292,27.095878634893104,27.896465176606334,26.636918110505807,27.104408256962397,27.353548723358223,30.6726678167438,33.72277857694876,36.389948838177745,37.50135960961465,35.94344362982785,33.59067579214628,31.446453883333124,32.09144185037423,27.89376582030907,25.434376681956962,29.760211556277604,25.766049949593846,29.439310148058816,25.944274641632433,22.26722418085899,21.504671115726463,21.193567735152847,17.2284303641618,16.74418358033022,17.467841397888694,19.354461207554657,23.708431400024683,26.599244662340578,29.77670514104395,31.820031802053265,33.420268222579594,36.850492446732986,34.51742070442266,33.832405972800586,30.14072051997029,26.981914006880796,27.5924951808589,28.221847185349255,26.41530050636585,31.00759503477634,32.325403274136846,33.92568609155428,31.407580818311995,30.79224612686807,28.78091622722093,27.032400183763762,23.992217664319732,21.286605622560725,20.620835460121732,18.926308817837043,15.139068611081306,16.81496666601145,14.48897277551697,17.285528909962306,18.95185697081023,21.180611228995833,18.114387867310615,15.912928502408771,20.234434348632576,19.968121853816143,14.658443992605259,18.042754759911862,23.33358101189668,20.186326390233447,19.305441112230177,23.03301194685945,24.307345470253857,21.515553131007408,22.550889853293178,19.320061939196762,24.475626207887743,18.782343987944248,19.468925428168717,23.658426242044545,25.303008215658252,30.075776706551597,29.328455285932336,30.971936218038202,28.430450464125027,30.492018750370352,28.65535720315014,30.399119741522348,28.63802203674143,23.2437036244966,25.336462172540028,26.497087887972263,22.104371283940132,20.368713277137104,22.839047956072125,21.0194991474611,17.0564867943964,17.0278043265088,15.884285618513262,20.59164660376695,23.5704492585692,24.861804043144108,28.36034050957682,32.27979450659829,31.107764157268843,26.239815225365525,29.251784587253265,31.95263906337875,27.941274451660625,25.93757474073364,30.145088323275267,30.208936441375236,26.37284391390643,29.38567079732565,32.07102720379349,29.656434778855544,28.294480800555256,30.982686323036663,27.89617806155987,29.21173162240827,27.284989855512848,28.614019895490234,27.934647974839773,22.807910733768807,23.74016695689235,24.167507186016834,21.729932317748396,18.419870072347532,22.459277289902715,21.268446011018067,16.229033051142164,16.404211694770176,20.377279927539014,18.794776114190014,14.934982847938135,12.145357283696491,14.444545048275247,12.581035228024987,16.33809082766813,13.273031267928907,13.817773925307126,14.94785922885187,12.174697247694434,9.400383994466388,7.909549073840753,6.785761496393441,10.691179545234178,10.872848503130598,13.527004094663756,14.392014001308757,16.80588147539931,21.593057414841095,23.71088997142166,26.574407847913992,22.64021964062365,22.1789814429664,26.449210370707327,25.083448610568166,22.35046399774115,25.00090656610965,29.185205836706434,31.035150330093252,32.24478549961537,33.292757413459604],[21.482971205498195,18.053370698277657,14.990397420841314,13.611642068291063,12.34463810972298,18.835270436544494,20.355898780760963,24.392272158891547,26.383576270901127,27.148421166096014,30.915999872400626,32.87972058801818,30.484380540091525,30.5231092901184,35.24105813008077,35.11688288550828,32.120004042901414,36.03428034746281,37.08767828922679,37.76397377745701,40.460527369821584,42.43041786683426,43.05643436546861,40.98471271688047,37.84300592331207,35.99972588646677,33.63987703904612,31.697093921943498,34.09124098341872,34.49802562920282,40.21661569704057,38.54733866955515,43.01209012554819,45.88293768781064,42.23575675369245,39.75481261389479,37.78202137536556,36.551378472055625,34.32009841388643,37.5498848944522,34.474141294302,37.97606813994705,41.36173454596364,39.30707351597314,40.58425465866417,38.10027590984947,41.538732323573754,41.58333734935275,36.34176296579048,38.614631855217276,41.95282956368752,41.3808105550004,44.801730674899275,40.78641900149079,46.21571690436538,48.51605008605397,45.204155845757114,46.25700651122367,50.776356682228325,49.695481326598845,47.80962826951062,50.66226713093183,50.098057501306904,51.44719325054672,47.966972212264594,44.869588836070484,43.76418474765764,41.97861420145254,40.37356173630245,39.86462891791636,39.2053411161511,42.44074115873624,43.88667271264585,45.62109894511863,44.671454798743454,50.41183245548993,47.48074942192761,50.741693428729505,48.22728227280528,47.33805594165755,44.88630852559149,42.328374976355114,40.29613866900987,38.590920906009934,35.46146584749204,36.85055596581521,39.9008154274368,41.93098670185628,42.71795754928562,47.28203539491673,46.07723559033244,50.11537310144628,47.53170111376448,45.8563317009428,41.4373546770552,43.28439940094004,39.238973838659675,39.98916655984218,37.156563660725865,38.220836716284076,37.72826778259735,35.020244523585745,35.44683414339989,31.757676908857157,31.59006552557638,26.6870584843017,27.288524277140656,24.217915452078092,20.771637486666272,23.58998130830318,20.14947168193637,21.447435741501003,21.940566958807505,21.142946579136105,24.79102790613753,23.584349245828218,27.52844045173268,26.852594272082857,32.93377877675856,32.645594061287625,30.499225253015787,28.24623608308552,24.23986905487917,22.266996426720528,20.76540523712711,17.662400745487027,16.089717003947335,17.172887506300697,17.580336145537473,21.692299461296965,17.646737505275645,21.489558861572636,21.835916638657086,25.14602343852626,20.60420818936179,19.278230536445918,13.899970212905474,16.084930965188036,17.236913965249784,20.911501727780543,22.991368954818896,27.250333339191762,28.815313340950024,26.369829046821387,29.125896059061635,29.77915523561435,26.677886233291563,27.203816966214415,25.957394497623355,25.844140091536975,26.170996919961677,28.997507934701662,32.30888373672244,34.442674746302586,35.689186489789904,34.527301927747835,32.2626396154467,30.46395713837615,31.255152889730745,27.532174623947693,25.455437265375412,29.775941503508932,26.065449937128285,30.060751371231245,27.136759995317412,23.496414246985907,23.344518305381825,23.406467747329273,19.549474168618254,18.352971518177938,19.03183504906995,20.2119690137965,24.7135124677959,27.399300091767046,30.285992061327903,32.132247405296425,33.279151882448375,37.05712184449493,35.08240263890641,34.57546261633095,31.25618827821509,27.751745120782424,29.119615095350646,30.139131303630425,28.140505876092636,32.59357908592792,33.51692162351571,35.63952347029478,33.11333645152673,32.87879207126692,31.19295920070254,29.189594010193364,26.498326132931417,23.75750225709445,23.172108179735353,21.683261381716044,17.475331821587393,18.916846414044706,16.099957974659723,18.117596217487993,19.775892634316264,21.33548302374775,17.965617671042327,15.931102854529973,20.071155215528584,19.031982831114956,13.371733467816657,17.170378674374028,22.228129536945247,18.246574093954123,17.367591965819383,21.251712218161742,22.082384562353514,18.864951469999966,20.227860887059283,17.250217752065595,22.822958859131223,17.788321510956763,18.704385159290393,22.911433431115356,25.31287437409767,29.84411628565511,29.779242948366587,31.50527096918254,29.191373234770627,31.494011379502115,29.655391073347026,31.907472272349427,30.073594609119567,24.488913256862677,26.943262397666246,28.551283467083444,24.042388074983798,22.345577692719846,25.228520583467617,23.631994225112642,19.46886100278217,19.709517380363387,17.687710080721306,22.213086327300793,25.133672613190786,25.795888164805902,29.188594278686335,32.82803218665416,31.485827435135903,26.64198422306601,29.296013933345545,31.72701416617227,27.54302602393242,25.42364561145457,29.304510954536166,29.02455044176454,25.068559306429826,28.358454130944416,30.709397683068577,27.8279299826263,26.753811678889246,29.7398777193806,26.916792142108868,28.70817166103532,27.084381955339,28.8664665234337,27.770694969514462,22.434746695332116,24.15351785714224,24.599879981099768,21.784599788735537,19.01151689934196,23.615825171571295,22.063365830511305,16.812610816667405,17.939244657224727,22.015581836449297,20.004509085328404,15.96599510966,12.279349184730778,15.020247154310985,12.108885120681816,15.429955734798328,11.451703871910597,12.267788781354465,12.445317273507335,9.268623628425633,7.358405312459866,7.11290010801177,7.07610711934375,10.95629581163196,10.343652909670872,13.884388895465278,13.715327241502727,15.443054156739741,20.780791016535844,22.797442467980986,25.495612594083177,21.09138937051928,20.39163022149241,24.518276220449177,22.9423351364097,19.764476247706007,22.643545276763266,26.76633617260618,28.619644686156033,29.873310140050364,30.912330148971204],[22.492455923727224,19.38049107018095,17.30705732428454,14.83725829568872,15.047998842005688,20.938150678721605,22.488986009682883,26.830510325691485,28.13801423571713,28.671967522321125,32.34488171530592,34.75988267985916,32.36008390424679,31.726698858094423,36.66519564754931,36.891515404052065,33.674410261704445,37.451137409439866,38.09183255858539,39.233790353297486,41.65671663649016,43.88165384006287,44.14761243940766,41.889883178461254,39.01512545784476,36.991182381757625,35.090256450667695,33.21522409580355,35.88446158180046,36.636519732947136,41.92423093723132,40.820399773486436,45.23367800032748,48.02772017309651,44.50727048596689,41.79356240895435,40.27210531538742,38.73744872122223,36.51407718809373,40.101221526546894,36.48411940584789,39.737350585451175,43.28974571203854,41.108878718097145,42.01423636739906,39.427711714552615,42.93737909682356,43.35696733585985,38.22348945540793,40.617341017752956,44.21727034335475,43.90206019862095,47.314449634061994,43.30379559942684,48.911928007582574,50.89189191770859,47.343726009646076,48.56315664953562,53.07718550786025,51.66019722053248,49.62496232975471,52.44451673073375,51.88104498795372,52.869930628199675,49.428958105768366,46.52929011087428,44.907521996819064,43.29997375635461,41.19923835821258,40.780810099841105,39.761502473504585,42.72531491974787,44.61905998371228,46.43462345951747,45.941271931505405,51.800824828699746,49.163338723890256,52.64798354573663,50.334935817679685,49.57260756151947,47.48100409303581,45.05317202006433,43.332831359763745,41.730486407431044,38.34913063023376,39.59877698940798,42.26551492881915,44.517099123289526,44.78120748583686,49.46193632619416,47.89647111948792,51.7229093167574,49.12882302082129,47.626488645004706,43.13691921721109,44.7764974662908,40.63800728998393,42.003794447651806,39.333349938731196,40.746930603542786,40.4124400482087,38.170693933421134,38.54675777467811,35.25337405268966,35.362953689331604,30.49812214301084,31.44399523976592,28.470003991271398,24.987925063669866,27.54468798399521,23.805897339922044,24.743920624054617,24.63204687924988,23.529383085935432,26.53855274150047,24.94738583430134,28.788401602655565,27.648632305140822,33.56989607207106,33.62820651007219,31.127900377527375,29.0587946288394,24.766365692928996,23.26399759977115,22.224998870828305,19.763104658521417,19.015010461851016,20.460661258817723,21.419469354919297,25.59913362302586,21.778982637597544,25.764484539208944,25.761312754163402,29.102997636082407,24.209382994259535,22.55597285392597,17.33254961396182,18.56844804501829,18.8285579665611,22.63634689194495,23.73577576405589,28.171863589407238,29.990149775437228,27.910970025102923,31.00528441398468,31.81988283513024,28.69316924946911,29.55174569264537,28.736647087696696,28.437224895135888,29.23186895453331,31.64325888893528,35.34504961210827,37.03059325782189,38.17193152910674,37.30386549803481,34.89053018253421,33.53318949848311,34.033512290562356,30.806293112983976,28.464989948129734,32.41026053162971,28.37043992463217,32.63638247816977,29.70013045270809,25.56419530637283,25.994332731831538,25.5871414584597,22.05105757989453,20.587203317634245,21.859757168752356,22.821320982135244,27.6737189209072,30.54309585330093,33.41804557774708,35.48012935442627,36.2500272445778,40.37299989739418,38.27425947554418,38.05276663565938,34.5604772691732,31.385767962709107,32.820825238471365,33.71891691664973,31.466180413319872,35.53240705889152,36.10928135263265,38.206298437377875,35.10292863893202,35.33692396030008,33.70127043250792,32.040075485981305,29.603471973370265,27.16217050258592,26.896380765255632,25.5979700017905,21.539225151200174,23.275336718930742,20.583596438626596,22.580875686823443,24.203107842310335,25.65148880455383,22.220640453862842,20.155493159512734,24.127573277025025,22.842285888854352,16.990386984253785,20.682576770469982,25.670230383428077,21.159300298647025,19.97672823778229,23.82027212147617,24.48587918712832,20.69108244611434,21.869610907675607,19.09655112381771,24.92828611799351,19.822977427895083,21.512808791575257,25.68390249473264,28.343185877109,32.74536406828054,32.98005619924832,35.064684961839596,33.030860467479705,35.55311069680165,33.93361939361628,36.15381707747545,34.093352965320264,28.674356159521118,31.28144587240339,32.664607702541566,28.054081721167524,26.602518364049782,29.449815671888263,27.44907189409525,23.350437273731078,23.870956973574376,22.063134532314525,26.705800818153005,29.614032086150406,30.20095191073294,33.623826853042395,37.16906537645168,35.8296293208441,31.002477852851836,33.45702309478158,35.82633024502515,31.60411602234771,29.37805424381768,33.02021061286048,32.55134258729845,28.497700313622786,31.805593008337393,33.92739829582137,30.699193765359766,29.672219649707078,32.76874363467086,30.102672314693546,32.25789005953886,30.967074015738877,32.78081818071922,31.270560613840896,26.04731129214465,28.121784706331738,28.213205826261543,25.2019413624759,22.90694488517303,27.34451327331559,25.21024210080585,20.154002237940833,21.720241393328124,25.32473135000348,22.74601666931257,18.78359018426261,14.98979827923171,16.743765688435563,13.137858148858847,16.766636746852893,12.746480140098724,14.826686853496453,14.697090619091725,10.487745094977914,9.894116324871757,9.619240772013827,10.896448531818773,15.036977705641972,14.582990857352296,18.284829563525275,17.58159670507473,19.116169935691932,24.655269614226405,26.620714995559037,29.12215536417981,24.396374222132927,23.61116261623433,27.48957228284976,25.58199675082438,22.075677580418024,25.144934988707465,29.047513272503156,30.881222580524394,32.04529958305621,33.00785386598878],[20.216470258767096,17.156329857015823,15.287594107321535,11.332467494833383,11.904899014609548,17.094279150018338,18.280982029028937,22.839992443135337,23.537918703406813,23.82803248750474,27.416886067534524,30.111862138022317,27.76078171589896,26.723128895877878,31.77751844149928,32.260956990367845,29.081856045782814,32.913265508221556,33.665152860612245,35.16609602170476,37.686542155882044,40.29172470324599,40.55583246955768,38.48917811285644,35.562330822819575,33.11834905644678,31.336517273965164,29.12048833912049,31.66885870886116,32.44264257608016,37.329725880239934,36.561202400324824,40.8787948411093,43.719697943447834,40.39709709852696,37.66595661648493,36.444814302664646,35.07198760635887,33.14057309663928,37.35817070673291,33.56127010355872,36.34110509645161,40.17451838121291,38.317934598817324,39.33145211083297,37.09029052343169,40.8378139297291,41.00458196716912,36.04082981539689,39.02895146306428,42.37583613361693,42.06260168788191,45.236788789081245,40.87686486849007,46.43629114891358,48.38887110898621,44.608319214674836,45.48445459308665,50.11458132180531,48.803366724796895,46.32149122751903,48.80957526759966,47.98536979934961,48.98599119400668,45.72725241639982,42.708730940654355,40.681692553409825,38.89077659947534,36.53940637476027,35.90578356282125,34.81117407757477,37.6830889494776,39.680716642511506,41.74486473844796,41.31213168800921,47.29556638857635,44.97232528796553,48.4660003483256,46.422739281262004,45.98280775237963,44.078405728864794,42.06270111459379,40.341276453120244,39.216146654309476,35.69899910876049,36.433858069826364,38.82265253703245,40.93528544766163,40.848514837586656,45.368756430518815,43.51638062329506,47.15745951061794,44.45003393092867,42.965159896719804,38.40871361909561,39.873899854615736,35.68103646594199,37.42744797235881,34.87837351729256,36.613942535553946,36.422571730555546,34.712903084831446,35.115222371629535,32.34661514482642,33.12350232716874,28.264031264952774,29.935583131546547,27.4485275417254,23.79166952538283,25.58646842592447,21.395170695456912,21.771811813227817,20.846895942945338,19.630981134428833,22.061160243763545,20.50672128522547,24.377517795943927,23.403247021106626,29.18676215311245,28.99024754958614,26.297332822023783,24.111127423340303,19.858244063693714,18.372262069581552,17.447501139258588,15.719121921992416,15.711049418197547,17.676520125746237,19.505814031688093,23.947085119948948,21.12027975768587,25.536191472664818,25.425585126291594,28.0612287096332,23.061736915614528,20.483388775572998,15.996409869660347,15.915721547369383,15.388289528730155,19.280292710688244,20.390889003850887,25.144305928553216,26.437432869794723,24.324445883503657,27.636845970464556,28.040796259507193,24.84072986134849,25.62084794718593,25.111584143966713,24.475524159962955,25.79075173370501,27.768682874034088,31.922211640639368,33.32540715389059,34.13350060211658,33.45773857949033,30.871386132771164,30.02395794580406,30.241164135519313,27.715093536597784,25.43982962509665,29.067974761197615,25.275106245771866,29.828377789978273,27.6290969172376,23.625067894267282,24.89929798160665,25.045858539419253,21.80818190068007,19.411962726605626,20.629828863909886,20.64583339314172,25.571658232029957,28.21928248269716,30.7409057219917,32.753002309568515,32.91175035133771,37.45921902560194,35.583690130626266,35.72858576658745,32.549878778034156,29.364908674701258,31.58006046325222,32.851291499657655,30.25205820117807,33.8821075487777,33.86365071739138,36.59629399186404,33.50801893874817,34.30808389425818,33.22253058888504,31.243678264753736,29.47402730779638,27.166077245614513,27.254655130230045,26.594469699123223,22.16703057575985,24.126999451190873,21.595767118806663,22.601383385955295,24.962069970562705,25.524734663582688,21.671775097054752,20.73300445801922,24.645999598207823,22.385007226719033,17.02447074678936,21.41856431218005,25.677356624459026,20.487408784600476,20.072690476033422,24.03663470119227,23.680625109479948,19.878268841677574,22.165398156770884,19.96940414726576,25.987192760044113,22.252498278560903,23.39788516096377,27.460503469756738,30.719978101686344,34.96084563322235,35.575132525871375,37.201817344143215,35.02312643217538,37.36269266880181,35.22671153485185,37.96708542602707,36.36642226130758,30.517757078836038,32.94355220123657,35.07819349433599,30.653559240663995,28.68573333533412,31.550020866312316,30.454371856489313,26.29305822099946,25.91212316516149,23.81537035388882,27.476971163744988,30.62471968614339,31.003413586037603,33.94340113202712,37.46649161877343,35.488620876769794,30.901885030894434,33.570089604646796,35.3028309449219,30.73649031192394,29.058298147761782,32.45003953629474,31.503413210148498,27.718829612908017,31.653821737952814,33.34456047958418,29.694353978758777,29.520420573024477,32.99570129196452,30.70884598201835,33.01311845077944,31.571863462405926,34.01143453039143,32.70637494660972,27.13909278144387,29.57582696554096,30.3101696097677,27.22901342963424,24.86020064973364,29.95656231798236,28.289879831694428,22.96125008011831,24.57631660318078,28.779553479294336,26.533853238274663,22.451265165505752,18.24965648260886,20.948265536018184,17.099277081125383,19.9645156318101,15.100385863026476,16.314132629230997,14.553501528845494,11.246094705121097,11.38335387085377,12.659271663514609,13.353441803424747,16.728842597419163,14.415778653529326,18.060807804062886,15.834470454742938,17.418135574712387,23.005929210507738,25.29732564662196,27.085051503433206,21.87645617570188,21.745492015850974,25.23149627777701,22.411492210174746,19.346636055718236,23.166076267128417,26.770290529295202,28.56476517531537,29.788667319975836,30.91425315973552],[19.02345560783268,16.5337415523887,16.027789797136514,11.767560136134287,14.398318618023916,18.351827631083655,20.076861057267212,24.626483891819323,24.78834020533263,25.42584004732039,28.772620947439357,31.616520696627077,29.864421431440103,28.320661138148008,33.51320603228296,34.4082836167625,31.471977312639847,35.35490884337714,36.16365424921384,38.09045837860902,40.59140073778799,43.51167848487015,43.6485822926599,41.63098201712117,38.822984206013814,36.07981260111199,34.55005074808421,32.110852174618564,34.504772500601995,35.19042877941595,39.56733148276991,39.04757080509365,43.173522152415366,46.199206571804424,43.14567765141034,40.50290637308473,39.48572674592812,38.377288121202284,36.6864191693906,41.24046437806366,37.34127407076792,39.79504022238287,43.78761373119554,42.07120756328357,43.00745253965705,40.87197436763331,44.687399825224986,44.89964957267088,40.060578784370804,43.21595256810602,46.53954552221587,46.269365471385754,49.354581844455694,44.88179914303841,50.39921677942411,52.31536388380245,48.4159127946977,49.1285377484076,53.80200546587717,52.49754709601862,49.763035441133844,52.011437637681944,50.98676476085675,51.91406658470363,48.82767614798157,45.79275035849223,43.327138985866085,41.41337497989458,38.68218250865403,37.77338307466275,36.48422987805293,39.04717129364147,41.36042294822833,43.780761491573216,43.52773713375928,49.62648806259073,47.70898362416213,51.18534292359352,49.42575779071202,49.2691214833706,47.480106603513754,45.75997572716424,43.948853273804524,43.125158750043276,39.61184406460514,40.02901687405869,42.26251162370509,44.18888287179275,43.87288006377288,48.15668645017632,46.024860501133844,49.40258636858171,46.513027492093485,44.965838295301936,40.31586104636176,41.39642954930865,37.10469486397742,39.31308020496542,36.74860658971921,38.38674203430878,38.83029409756488,37.27292735824433,38.11068399250721,35.44733330763236,36.74105455885263,31.74644900852233,33.43552928343816,31.19051708161636,27.277453571266157,28.811107699756835,24.385134903958217,25.066048902755142,23.556344490846755,22.73939040678803,24.662875275302696,23.311058702340013,27.11020647336896,26.20591334469854,31.66810865402599,31.324526483382233,28.34079995069393,26.0640861638516,21.96446227745145,20.588403911784123,19.57749213775678,18.880945343241365,18.557128370449345,21.2384453771634,23.209599633871647,27.84966644675068,25.23069219297883,29.624450657656187,29.783049022269402,32.24432796695463,27.406705137272965,24.637969756909413,20.348353755118314,20.062409764992495,19.18175437788201,23.01807101416823,23.824909575022186,28.670417918088663,29.778866054629706,27.785017296662208,31.227968273708097,31.336272542920376,28.11855100206871,28.68001511453802,28.220735756218613,27.02125107540602,28.30009739615866,29.614841701115925,33.867828424583664,34.512043170810045,35.563842347474534,35.434099933248994,33.06855041398799,32.60126279475855,33.00610599329327,30.96847423062879,29.099012785643893,32.60398530400492,29.07815339906832,33.73096662756691,31.85383319866248,27.87010552969171,29.369047688215705,29.501314227088923,26.338727472911824,23.868632094528518,25.107385802220396,24.903177599063344,29.78189021923677,32.27505293267437,34.5787136921959,36.403331509482086,36.23569257665519,40.94897321409394,39.368026492200414,39.601893379589406,36.68816183276917,33.32932483454276,35.85916523091082,37.26708908845243,34.654122965604195,38.2013119080497,37.986497483438704,40.896558277192504,37.723362793895745,38.717176067102564,37.70540218209909,35.7373207828281,34.028916220465,31.7025430238882,31.724692269102086,30.936706331916206,26.448059457670603,28.136075815390242,25.245656554466937,26.094979402468766,28.013768480294207,28.352883843632945,24.59753867729136,23.365045622675556,26.884679679613214,24.371688553311056,18.923018461118783,22.974094210318654,26.980322954649495,21.353463991785993,20.59384007219752,24.33238727744244,23.785712418151856,19.517446497269113,21.56142588504027,19.791336720480118,25.818945888923345,22.553959633796023,24.26448732800101,28.128028576655982,31.819929537090804,35.737094796825296,36.90338173992348,38.8490635402841,37.0713451815218,39.7253000462966,37.90346618908105,40.82696037246601,38.92528163681947,33.23389134159054,36.04015629796295,38.14267212064399,33.565488975446506,31.930433660357203,35.08392901599736,33.6770143110643,29.428810925970566,29.705647871879822,27.17743712395467,31.11568362397935,34.04865562709598,33.9554555732044,36.96327969538019,40.13823052171749,38.320928158438505,33.76820761206189,35.87199048048541,37.54951062416571,33.0886497849568,31.089535791524664,34.04775213465927,32.902811340611365,29.01133981231125,32.82185536010236,34.17966434916014,30.18775321861365,30.036324252988475,33.58482001564855,31.573585941911084,34.33758747825816,33.40618371791075,35.95333116797852,34.08348515626605,28.70400547932786,31.712489826956684,32.08219035820563,28.753884741857465,27.090551730748633,32.17806958712738,29.929896150117674,24.803188613908652,27.135474691138747,30.976990507417803,28.21051956530263,24.21918406930296,19.778300711161442,22.055707493554177,17.673780450323072,20.10121506338449,15.264154866075883,17.226853518277725,15.125545139167235,11.469765397959547,12.844392385828183,14.358849807501606,16.012326663074766,19.346875265435163,17.5114856672237,21.52980790276344,19.203288956386487,19.875208949194242,25.586023430533753,27.48164098209977,29.245229456729884,23.91306478817938,23.23645779096463,26.368986546316766,23.69584913696333,20.000971882580053,23.619525299054427,26.940626233227608,28.677636959675414,29.854117586027012,30.840995732928743],[16.685887478207366,14.203196690415412,13.704819335308455,8.52179856893537,11.51625282781512,14.458186549479976,15.999217209011022,20.543935418432916,20.388165209126083,21.08489326582507,24.360811737659184,27.214965446810357,25.69484866526711,24.076101683255853,29.280500336795185,30.29066726254085,27.61041304236159,31.635638141188927,32.82245044438019,34.847465951717766,37.58027117419422,40.701671882130135,41.02235118174549,39.292462119021415,36.33450546611023,33.31700220249134,31.67417952528543,28.873850692208396,30.932949715478877,31.389125952856343,35.54443895865885,35.018214753165914,39.03527827449174,42.19299835160109,39.3015586202569,36.820876078036314,35.83488680581845,35.1196797465775,33.73684613419491,38.620718039920796,34.90432463530071,37.03286735777974,41.15581375416843,39.79777155464434,41.003716786431596,39.227572610418186,43.15370318116653,42.97644766521254,38.27902770391222,41.80105758312746,44.76978096791699,44.36559659436853,47.234801275507216,42.5171085036021,47.851276525036404,49.90489883127193,45.958719535376346,46.275702498649764,51.02784892642247,50.006601231886584,46.981943580372985,48.92168784537685,47.64534783030986,48.776673419872935,45.866534483264736,42.62811416122217,40.071547318082565,37.868105842912904,35.161036186182905,33.938392996277265,32.779017267718146,35.37165711404289,37.54788733188042,40.205721553709616,39.74876174049502,45.89055318842914,44.1447000770381,47.477780063828035,45.88473925013064,45.97390657271653,44.157144229448264,42.76831651431846,40.77184771131374,40.35095833527944,36.906402398067854,36.904045929176334,39.08448900460232,40.709834191609474,40.36906655489019,44.3778891772023,42.169972474080076,45.459871922849466,42.43896563565931,40.779422404866445,36.093667617259136,37.0605111615441,32.74680281795225,35.010206185805316,32.43928105482842,34.111700499511294,34.75602491235811,33.420838600472045,34.427358979635144,32.02824806434687,33.84519649572515,28.874715061752106,30.94692920886662,29.142327363057074,25.148021590035654,26.077151091198495,21.45306752241467,21.918494545199017,19.85026559238925,19.280677451019105,20.8732699865123,19.9010150600881,23.728244534155323,23.311695339389658,28.62769926434487,27.79372808386926,24.80456198214137,22.267675737385037,18.484289659572777,16.817162007100357,15.539076222647687,15.57687159508748,15.333491862331874,18.477397569542727,20.89170852657446,25.603019804817382,23.794652739199858,28.29538807746524,28.58118993219524,30.404932802049572,25.81702794363834,22.53117746278115,18.985082585479084,18.05987240741829,16.9393914756882,20.625150819127644,21.919017120145412,26.833532800880427,27.319456317828095,25.13611881975674,28.542226128475562,28.132892585414005,24.901175351009716,25.11527261896743,24.683911367459366,23.120709446213233,24.5632067606279,25.52032730483627,29.954930576101248,30.41512734109085,31.302660466162443,31.31393368891278,28.95746989362501,28.78563759117801,29.17281470985396,27.615420058325842,26.106324474125426,29.464304686199906,26.456872959186693,31.141918344670824,29.938887633800626,26.397945266923717,28.24314466435734,28.976024791286022,25.970275952603064,23.029409144642045,23.9248905872378,23.067149372321,27.682353973024018,29.82164651537014,31.75612146741147,33.34923936897297,32.8074254306955,37.67645936058612,36.43066140995529,36.818374629285955,34.3426316545652,30.8186201679969,33.9468902629571,35.69594961702902,32.99325533271416,36.339877721791304,35.81793210937336,39.21633929268512,36.37210958947411,37.55242495351093,36.92747443505453,34.60588619564179,33.28172371369262,30.95846651998927,31.076075474210942,30.641340774826226,25.96089280505666,27.583554755942043,24.791027633134707,24.843946972601753,27.167579960799383,26.816782534879675,22.904975611500163,22.538002503565995,25.874258525361725,22.71849181818965,17.946729792110343,22.343160013591067,25.6524489319473,19.773472691944725,19.744341899641096,23.466435581083903,22.140867864407674,18.18385985242066,21.156917367489985,19.83124965711203,25.74690538617543,23.62499836172839,24.641509537196065,28.34353322618519,32.35152448268595,36.1314991704352,37.49173362083822,38.95714580152379,37.01878856718678,39.45466663638158,37.23106505866916,40.53466986812634,39.04245176688278,33.09068591801705,35.71173272046293,38.40504172706711,34.05012020833447,32.04238162378327,35.20155894224036,34.55353619564463,30.30752344304045,29.967572367454203,27.158652667639828,30.285732931645438,33.28402531244739,32.98032825578024,35.565920404822016,38.65458126705612,36.398036252850254,32.11126495497627,34.3223473062538,35.49340719697394,30.86279498681049,29.323419208421956,32.05863100708511,30.5948818450958,27.010254896198745,31.238095754477715,32.28880132256546,28.112540496435752,28.641473746040642,32.40343943692132,30.68174248949379,33.4205670121699,32.31803859018104,35.30437608442692,33.71839701420322,28.15211448639043,31.310413580375965,32.240601366718025,28.97057933827185,27.20213022236918,32.715295561863094,30.992217954261534,25.725332553932095,27.967120847075392,32.27366265250552,29.935149569333742,25.9049848172164,21.318516968182657,24.453838238176065,20.218275115896503,22.01037394439159,16.746362941563703,17.63680011968578,14.479644137795862,12.120387429005357,13.606765105960173,16.038450120649635,17.049856577199936,19.574342428471244,16.568534494179943,20.324409636610167,17.08501844240454,17.55506188487643,23.03268240022198,25.07126461726973,26.272078642323628,20.767991486731418,20.58046067319488,23.33124777043162,20.070964507306485,16.85743241683721,20.957173785818746,23.996942459246036,25.695026332662994,26.92927648867118,28.09051108287859],[23.286369406066775,20.54470349579028,18.965975491427024,13.883481105431759,14.163965454657859,18.059045110924973,18.072691204269088,22.66180257915327,22.281153022608574,21.466218349288102,24.79904391319265,28.138628371789885,25.25580408198208,23.391613880958626,28.445223106217533,29.22693929324333,25.624630951383747,29.02748769557258,29.1546022943242,31.193000384864796,33.34104289251135,36.2776020078646,36.16432709643391,34.04362628129774,31.406269625843315,28.675197147485317,27.500739106893505,25.407689134199543,28.293944940037324,29.679569743299236,33.89427835522841,34.05231463625738,38.263668746220375,40.73179860753625,37.57945534529878,34.483020942927034,34.0293993364291,32.127698295686784,30.311228020048244,35.08068540610989,30.636329938421976,32.838757426581566,36.87965792315444,35.083381920800946,35.75292180373046,33.69413755108309,37.58224104391865,37.93234993381429,33.323499288321564,36.75974261871304,40.10979379134647,40.11117692395438,43.0499793213186,38.60161739046767,44.24324065656371,45.74111529661919,41.64112825439936,42.560229569778286,47.14300053007356,45.501064725635715,42.70130109475666,45.022398586444545,44.18189291923395,44.736398808087046,41.59932176012207,38.83778168038228,36.19397869302886,34.6710172386957,31.812156100553146,31.433644278393167,29.9531140973094,32.566645628841634,34.9577105741362,36.94065241957568,37.06936783413663,43.07862542616246,41.09546798135172,44.86176417388772,43.0991074852815,42.84847960381141,41.54883582991371,39.832265297920934,38.68964390873092,37.84612446760723,33.989331008658205,34.3811310652837,36.05214715436376,38.48445883352463,37.57006337220011,42.24315212056361,39.94934287133104,43.304675631466345,40.74499819183975,39.651202193108965,35.17753494425858,36.55297822574518,32.432685565015476,34.895180426732644,32.844022607732846,35.448896188896214,34.87888797951997,34.22934632344465,34.05503697739466,32.31355687676462,33.39634649713254,29.006618432023224,31.5664476464597,29.432697316391305,26.123842054340457,27.206477665466423,22.954458675834967,22.017157599021427,20.352932931865023,18.246013858742682,19.377789714005072,17.141722159511055,20.557497146804145,18.995190186007026,24.363199896913326,24.630300687139425,21.642777338488663,19.918588218638874,15.407515829499202,14.897955762249197,15.242255055806412,14.404761224819891,16.680915103446797,18.31157570359126,21.043013213524578,25.10449785336688,23.2615320025824,27.8442985169976,27.00108472597049,29.165834292395715,23.847441446324574,20.60993007394869,17.272958283360687,15.239148878574978,13.160188338315459,16.70699389349837,16.509912943070272,21.341308766730805,22.54524640386414,20.981140497778103,24.618826902236677,25.160737977373696,22.118116718764995,23.522510222387197,23.930881805405892,23.451516042990548,25.84086508200736,27.46273810869393,32.18450908562658,33.51233655353787,33.525285714678446,32.84024643603948,29.761572670143774,29.622433713759264,28.92454284412908,27.32904455762163,24.449788485162532,27.13340418157452,23.08221755244971,27.852017349984912,26.10578063411897,21.88626597951263,24.313722579123944,24.40068550613966,22.003964085851916,18.865864739686735,20.5517333671926,19.701168948941802,24.707971740366844,27.38084291144649,29.662678314373913,32.02571288016418,31.480630102892583,36.496534675831526,34.39759874473599,35.142772513995205,31.86302654780185,29.448449864968538,31.936640157512354,33.17190944014315,30.110890117697732,32.79459428291334,31.993612890731722,34.985774659893615,31.40036731620516,33.07902061845868,32.52890005364761,30.749679194164273,29.874292066215727,28.147555085950806,28.913829467328107,29.08229674466973,24.850710889259734,27.40697035851457,25.583962257683847,26.08843129781717,29.242433391690938,29.333099543901277,25.265177336127245,25.36740873907797,29.296198227301943,26.55160336855113,21.868654421213584,26.580082256615807,30.30283334459646,24.920319749517397,25.110281689443966,29.04092889164482,27.971655762736468,24.338613591388647,27.28495597660546,25.47679571133598,31.463532963962802,28.325150044680537,29.21661447786349,33.20412451217011,36.58917103014001,40.79716973081676,41.42019470661773,42.74163386206188,40.35397317872315,42.414008646258665,39.83699568111703,42.67691476144736,41.51361780689736,35.4682926635415,37.46953577557285,39.89730097762967,35.724036155074295,33.33622782805814,35.824522467206776,35.28780860409542,31.29113570213333,29.93378180979427,28.35505366251074,31.104352235665182,34.541775294679525,35.203339788387765,37.67632979050904,41.36574627232182,38.78786938091032,34.508943865779514,37.64337006666831,38.8332666209471,34.01805483802845,33.04988735440748,36.321721439200644,35.04385594323193,31.658943383655995,36.03616345200806,37.424492662453716,33.56865058350414,34.098063159218114,37.76594486201029,35.72637561100826,37.96723707390847,36.27181692956986,39.010923287921116,38.05170442562278,32.336360975904064,34.68822343795558,35.869020000440365,32.89095230439618,30.255792414451548,35.50258465732118,34.228184601222104,28.828578010382415,30.065634337497613,34.513634895040916,32.54470337598967,28.45611100719479,24.349599899105563,27.083965139408708,23.2944925093858,26.187813861966607,21.224132885465856,22.134577788161693,19.718354785763214,17.02669698649388,17.31519419978964,18.768051991308813,19.011271037361396,22.081865632244817,18.733778255550007,21.696628415099976,18.417740335914733,20.602142080820787,25.710653327259273,28.450874686170554,29.365330015992033,23.969131583584236,24.857666730647935,27.821865575268404,23.91860162763501,21.88589913767334,26.331001502338538,29.447870406881613,31.090114228765138,32.23902925846955,33.453279061936136],[24.436007559642263,22.15943026661922,21.348827531182373,15.838359392238612,17.047568865041107,19.707950092895093,19.577864309213087,24.050491156880447,22.831445971280747,21.749751902397982,24.69365416075297,28.40051999152172,25.75046811603523,23.134962072595528,28.19469330051645,29.422564213016717,25.87434785515381,29.040158338866174,28.908228637634718,31.512495403384214,33.43800238273451,36.74010950109671,36.35914369138021,34.292526963264756,31.92533065558089,28.862449823895957,28.198905749194058,26.027796262935006,28.87549963604508,30.447819017276835,33.89256563884383,34.676983590437,38.65064925444607,41.05008269485647,38.20847236352983,35.047515389585385,35.104234697693016,33.197161676591975,31.652815228628604,36.837644248168786,32.12352593264016,33.771436374247855,37.966843837372544,36.341548491938525,36.801019944491365,34.95246521007484,38.89748062486736,39.3392211494333,35.05206580312936,38.76431220423086,42.04011331695408,42.198944681354966,44.934232339223875,40.40750343152947,45.99042501788937,47.25349346241607,42.962785685070074,43.75978906453621,48.31345711618671,46.55155853933014,43.43771604998669,45.47044247451641,44.47430202155314,44.76220661501784,41.84789955214957,39.21999519743636,35.972695352954226,34.49840436362695,31.12379260177244,30.658151866072064,28.839470779889673,31.036287988795966,33.86516982603224,36.06973390382778,36.616982265372435,42.670882268316184,41.179397341284385,45.02760278132271,43.624998272315864,43.67711503691353,42.74922536367338,41.40507532253388,40.457804615294286,39.964016813387275,36.01892244162395,36.02254537319227,37.241063179496265,39.64313906570673,38.19277974887262,42.70907166937863,40.019323285293574,43.00926063376303,40.407827467002384,39.47121845932909,35.01439395770638,36.047756867421526,31.935845498887108,35.06397440312907,33.268072068100025,36.1893024472713,35.88442748280931,35.822547236817464,35.69558122146433,34.48228191221056,36.02886280951814,31.774749336727826,34.6613756803845,32.82410029488972,29.491181416593626,30.152581527162557,25.77449085747529,24.58157628750325,22.284379517026913,20.188600456159907,20.348788453403817,18.079095595422142,21.069683070634948,19.361408808625352,24.056125851473276,24.41689855286987,21.11094113315003,19.603989670416286,15.298317872109955,15.413504440220521,16.256635398269722,16.60460212202212,19.331084144015854,21.269234215974336,24.323999691467492,28.34361610914689,26.974565617136577,31.578781316384664,30.67763737521328,32.538112800273474,27.287213314668215,23.76047572810016,20.968305501734225,18.33621897977103,15.65165050764772,18.782456722743973,17.842877271466403,22.542548706114417,23.48181190570253,22.30791539521009,26.06018593154859,26.403148848457818,23.50696712862082,24.960828947726288,25.77612482292592,24.973952378584276,27.738288360024907,28.746591883754263,33.72378785162263,34.52158859416888,34.31939422152682,33.99883459172537,30.886685844483733,31.318747806775193,30.366582587979984,29.526505834476676,26.754365067977176,28.91039261386763,25.073524204274968,29.878639228697686,28.60564514262277,24.459129220610407,27.39478919282251,27.471765158461437,25.455471252606923,22.11193995200377,23.89037652602519,22.616868852711608,27.466803174269263,29.975029380821443,31.96178725972951,34.29396062130733,33.23095458709437,38.4978445027035,36.54294858417087,37.58886728323163,34.50360954660239,32.29072787429049,35.077176359907796,36.38912844539734,33.1830698080244,35.40887903831026,34.15946786654234,37.35278170455626,33.58220706302485,35.72658294661527,35.4583235181538,33.76835177882317,33.278204451216155,31.75231769616101,32.69421148753011,33.05959185349745,28.8454282599984,31.41872548958746,29.59597516037389,29.8480338904482,33.030673917308775,32.82845262022471,28.730532556003705,29.019515085783794,32.77088659379944,29.708406725192535,25.18918179163746,29.875433950613633,33.28350779688302,27.60811254389642,27.86342457116849,31.6739183159545,30.22410707466821,26.46583396815562,29.559394642149968,28.102751783199672,34.07119799273249,31.396839427515022,32.44569839924309,36.32258834508737,39.98853937455808,44.0205125270898,44.94567603316684,46.31659279800309,44.04767993472662,46.17473458643521,43.58674081733115,46.587339239602905,45.42494232396155,39.35433651923774,41.42234937050061,43.966628424163645,39.77822972590987,37.40251584703887,39.940309875816226,39.441429398479585,35.418423935830496,34.087256181922996,32.408752717496604,35.016299600420915,38.442766944943536,38.933532923927,41.273667675391565,44.83008902672215,42.10392559078825,37.96131883766164,40.958093818338355,41.89863527288168,37.046900779798186,36.175119446388145,39.160814509182885,37.63829968992785,34.363418712852784,38.85208806021971,39.93337191813276,35.81776521792707,36.65594639001478,40.44041282372626,38.64680954965536,41.1043604374156,39.57477232386537,42.50222155646419,41.37921953891406,35.679647430351444,38.311844380650264,39.483334688128764,36.40075996458545,34.007817743245056,39.35302675888968,37.92556982488302,32.550327780348056,34.03306986194648,38.43354212691857,36.2928555103843,32.20466792698086,27.961314319685805,30.57620589757544,26.5403355414268,29.25397127809379,24.23035566491432,25.33665276499715,22.536906129946143,19.903947445041595,20.71186104252105,22.36114886670132,22.898767022530162,25.917346265179567,22.464490474088482,25.46706103337798,21.830903619083085,23.67282225289721,28.67186908447922,31.34397127512181,31.907097259125468,26.40298278978793,27.36452300273054,29.913139256339317,25.690929987814947,23.757510302912717,28.303896808768027,31.04719578555034,32.57714233596822,33.67245262565258,34.84242607741356],[28.303224088682807,26.0065267737242,25.000038971398762,19.538288552324584,20.15151785149595,22.91393728365479,22.28510392485108,26.615344215327067,25.193623499316125,23.45930510650509,26.21809469884492,30.12787897200021,26.97829121169296,24.132338752296675,28.941340501430812,30.146574322813287,26.23018001997156,28.873009202827355,28.012656362692383,30.762595146296654,32.205863081227555,35.460744696416945,34.71076206517463,32.427069229952814,30.417256097114443,27.490661249329623,27.332661101156862,25.640494667029735,28.874737960761053,30.968929715968798,34.144052284324566,35.45163239465054,39.39127090875987,41.37742708292279,38.527964754080074,35.06909637484202,35.55629720233415,33.036318144327055,31.355412628567827,36.48383471052814,31.35238814230494,32.84114646995373,36.9611096718503,35.13801731019057,35.17258197615534,33.22663119221817,37.103867634858176,37.92124215219561,33.85445897484855,37.52088023517348,40.974259044819235,41.42278054198913,44.11378329992329,39.78793007443777,45.462938173982664,46.32254491149326,41.93261256233378,43.04676884531017,47.44321990068632,45.28733632139946,42.25022103230563,44.40243520106627,43.62810470914408,43.47836633438667,40.528905189064574,38.27259133877766,34.81492673682586,33.80059113158412,30.21681302154827,30.243844178991008,28.15112607686113,30.149387378353296,33.21917525044794,35.05743008437782,36.094869851066235,42.00075435273554,40.55046934425713,44.626301990974554,43.25331526422765,43.20072086853881,42.68090522311076,41.273333452611986,40.8532549238932,40.225241183200275,36.102256092888894,36.22304677609872,37.014562577293354,39.81647674872511,37.91803471995167,42.69369107480786,39.87462413056173,42.746927488016894,40.4219766153034,39.85159470611868,35.58601866164836,36.710381673047365,32.782131792693036,36.13413608965189,34.68883019505662,38.06112724113567,37.26761925517447,37.65161919421588,36.994438783872845,36.21487236426457,37.48880706699385,33.59470225164223,36.690313384477726,34.78095254633416,31.781151760871744,32.442999805946826,28.277366362025578,26.529725125700402,24.368314527843655,21.705301445608892,21.406079887716114,18.591709941700277,21.0282883420631,18.624208373844322,22.883555204085607,23.984934932347667,20.700206884703032,19.848940472299624,15.486940931694278,16.468061600987603,18.142537708712528,18.332209807915937,21.946215249930333,23.286085717853272,26.400811775054056,30.034838664114737,28.737768821564043,33.272726857871554,31.87037544510644,33.8158522928,28.3587608261018,24.936463745729892,22.43911669348058,19.353262669895418,16.238888641394155,18.919845594117742,16.798137387032536,21.141918435015395,22.45563979224569,21.87108542514141,25.654354844916377,26.485547413753537,23.846898172585238,25.885560375946547,27.173940053252462,26.816294872928513,29.973808074412908,31.11726070791992,36.17265994972939,37.203978632869834,36.611433635705296,36.07833645643882,32.701995961080556,33.25803968904025,31.78544176312034,31.106745379631032,27.787826479520323,29.41159662192029,25.18394379615752,29.89160206902771,28.462118129017195,24.069295014408397,27.354913118480734,27.024179602269694,25.51463859580336,22.186600065921066,24.34946941573675,23.061274637715368,27.898646747357596,30.579574074428624,32.63235066802516,35.295651154881874,34.13636910173177,39.43928046537392,37.11671579723493,38.39320980187413,34.99175683628892,33.42471252663821,35.89019446117761,36.92394179579807,33.568948735643154,35.287042682036706,33.79708811945195,36.73533737941482,32.5242752148343,35.0502909384016,34.886524997610806,33.58192095273309,33.42071959568245,32.28572092806325,33.558099800754384,34.21882633752107,30.31444600060592,33.2387940853906,31.832011385539534,32.25739815764051,35.6943161608048,35.648305090284744,31.540596674418158,31.96957314380086,35.88154710723976,32.96431177932628,28.485568471978652,33.22352167315062,36.75277218718913,31.215927749771406,31.503969830737255,35.36369355778453,33.98311768632632,30.28074130971189,33.33663918750358,31.755594224877704,37.75107453860394,34.745598871088745,35.822310989438925,39.78131939244673,43.24611930553913,47.40706980091102,48.09381734099037,49.450653493470156,47.05150609570249,49.05303425634183,46.3624676358525,49.16677215094395,48.1139722074261,42.05418690388752,43.888631979043566,46.28755212699042,42.18459805322373,39.70695584580504,41.953101989159755,41.45579455900756,37.57462703574458,35.893906875516606,34.737866327399544,37.18959839428826,40.750918206957266,41.60253514957837,43.883962034206014,47.63983835438996,44.79737644617342,40.69540192430421,43.9972747330878,44.92514379150416,40.030946254392134,39.36396505668172,42.49677119837171,41.020893988647565,37.825301864402086,42.351920821369916,43.516601161798405,39.48090541257599,40.32931157752267,44.088294812130606,42.207712306432235,44.52514416898385,42.82342348059728,45.656259763966226,44.718945779109724,38.99402632142025,41.365415074768634,42.58474323018103,39.596588581546186,36.95411261780935,42.1553618170864,40.837277196418015,35.46308188426261,36.61363978554145,40.98582910909845,38.938207235536126,34.86808301837952,30.82815655053265,33.18440147219003,29.307421789859866,32.380136131153506,27.512261282194387,28.709052081265316,26.13922147500096,23.36765439153064,23.899243796280725,25.200423630443037,25.56155484849496,28.756013056273595,25.30116884088737,27.998333978081433,24.425523522850238,26.753690511449353,31.560354244309746,34.43498676166153,34.860082671831485,29.44456446329354,30.738032579430385,33.29617189473554,28.87673016675539,27.318986358264265,31.93930069997442,34.65571678083051,36.1399979468739,37.18211395281526,38.341432601326176],[26.552297592716705,24.609723529859597,23.956691752267748,18.312197790793427,19.22071556110173,20.36183636765589,19.339641258171536,23.325981263408362,21.145072066813597,19.227457647218195,21.60500165888997,25.693553768464657,22.96023222648379,19.596891694483464,24.41430600948992,26.00855298238245,22.47871280537482,25.231260986311774,24.859664812938004,28.017297262436994,29.764038499398982,33.47095674240981,32.93599076227691,31.1334128614369,28.96555063667392,25.476423931581188,25.308511982160073,23.007913057955374,25.70953073551639,27.53790724339772,30.056248250843414,31.614189021201117,35.28723109176029,37.45438114461675,34.96245711814677,31.731550184152184,32.43748892542013,30.519633663407827,29.395836266335362,35.07308683950144,30.208917497933598,31.05976554166883,35.41118462296348,34.1779815766807,34.5873195842913,33.23846629512387,37.25145268116469,37.495704508418406,33.71330217714689,37.89650280052283,40.80832381884992,41.06563243954149,43.41298353967045,38.74114797522278,44.11385102951725,45.147085212227445,40.67344654219838,41.16149369159039,45.66328193543962,43.920858122539876,40.378033640721675,41.975187219512655,40.75718075491767,40.85127429872696,38.243041844820866,35.697178112677776,31.871724871016205,30.395055956752724,26.588901244887428,26.053946801109262,23.966872242510377,25.839895528003016,28.95611241203753,31.320049280079566,32.212948616563594,38.248808105762784,37.247187977487755,41.13581968970488,40.133345401343604,40.547794385291894,40.070956021773334,39.24743011797623,38.57971959546028,38.60150985624759,34.60717621723039,34.03632821708377,34.64111964764965,36.965773497522385,34.87969235334888,39.179980157707256,36.09980280289798,38.70769856562762,36.142679616348815,35.45417503732534,31.130035965295782,31.928993603314073,27.962802211239364,31.7078436369269,30.37907078643435,33.8876313705379,33.49028684762746,34.35593857399916,33.97330507939517,33.680859690447036,35.72290336191001,31.930801752831375,35.423958740638575,34.10574425430738,31.03343884986455,30.953897413203833,26.687815247022957,24.71086520264561,21.76926861072514,19.443557442329407,18.205239877082903,15.902891156476752,18.121214562178498,16.440645881290255,20.156978527366338,20.4855612701743,16.963604288442202,15.83070492364275,12.044935574101409,13.110309617223258,14.91481503363529,16.552897931293145,20.374146110571946,22.16043194690204,25.675207949209007,29.29698774522981,28.949655754964514,33.48851801957764,32.37104757950687,33.5266449910538,28.530362381924743,24.56686480393113,23.015764828098213,19.33067758839705,15.92693958399334,18.176735843316912,16.685633867966203,21.00520701746087,21.209356807712606,20.449357353216847,24.166834017459912,24.142791080864438,21.5687695077693,23.12231740254693,24.598644151938814,23.69109447773356,27.11994719901722,27.56503473820067,32.78702364031668,33.35615009490402,32.49831313416549,32.30446518647916,28.99447910946174,30.134693579342592,28.575276235194387,28.78716617244644,26.05167798617249,27.303577048499033,23.942794366144593,28.633770369285987,28.25556632771839,24.584956299441462,28.236588155965713,28.68978375962464,27.314379232392945,23.556775431180306,25.194622844250148,23.109666213631872,27.45561404373881,29.579270501278653,31.042299603706805,33.327936305722645,31.54902052674707,37.064146709318585,35.28412722969684,36.79013233027017,34.074693948101974,32.291095517193035,35.5279389983936,37.00720382810501,33.60875976233853,35.05923981561521,33.12643191169958,36.74147742081125,33.0479661048165,35.78887229941046,36.11491576583586,34.34623455973194,34.60168951101476,33.415663939652376,34.68966316160941,35.6073374139408,31.501022469909632,34.18284274207774,32.72945512039527,32.364150917500474,35.97556876329161,35.225110520060966,31.103408465126034,32.21682549669729,35.781766590192895,32.305769838442764,28.530595961729915,33.33473901245682,36.11528304551124,30.444789866193307,31.24750955420189,34.92548063949725,32.87267877571652,29.489337608043698,33.12535240139365,32.02778809447286,37.814499490622794,35.90236975489092,36.54636467450004,40.27303871594101,44.10791765768233,48.0121068371528,49.05262907065499,50.05418227928671,47.638580504360995,49.516306987812044,46.56042856634541,49.7824685774685,49.02849419554547,42.80882663861835,44.58828168348089,47.54595275705213,43.611858230106144,40.91396333686365,43.28187053411875,43.410002076797845,39.48469172290122,37.51361855995619,35.8974578009983,37.663995307949094,41.17168907904159,41.64797876634193,43.5059102145243,47.01819967159172,43.81362147537455,40.061092947362475,43.255613827683575,43.639275837793186,38.700810671252924,38.43158367424135,41.16193762026329,39.34895064445818,36.526724807569074,41.30694057880862,42.058406027280334,37.863426208083276,39.343901903910485,43.239381455435826,41.73455294255137,44.11306806908328,42.41699042970409,45.65624871230238,44.831875725022826,39.066213916313046,41.701608730324786,43.31194451574471,40.326562787062045,37.82328532628409,43.37818157707445,42.3548363963599,36.92541682378137,38.23811156630997,42.91802080606235,41.081228580833965,36.9847000097689,32.715370289229746,35.719091059707786,31.748531085172147,34.185571563968516,28.979433558669975,29.56523060913811,26.250660094352362,24.34248887581768,25.19422203473916,27.210248588977016,27.38756162318555,29.91580809889521,25.74730471869047,28.240930039931946,23.960405915042198,25.83654199735605,30.200548404696967,33.041906128889444,32.83786347227337,27.439504545224285,29.11676196985199,31.068883984777774,26.202687852476895,25.264390169154964,30.041502337014055,32.254223833158775,33.61151171490488,34.64434231151917,35.88570787352066],[23.91997648337918,21.46940069690231,20.08357117252373,14.648412163712884,14.773101986796036,17.098531523380988,16.266275603790103,20.601723469278117,19.384992584113512,17.905289880742863,20.94574669993829,24.62807378214744,21.6521354785459,19.222811814826866,24.24626645183946,25.30396997507328,21.697841255555193,24.96209279567798,25.08114659840614,27.53441684511303,29.691777077406762,33.00078979652626,32.85819099222508,30.992822697900557,28.383885808855965,25.2262985696291,24.299597723362243,21.930791355340947,24.67625267027294,26.194141823028595,29.802479479037284,30.473649289433634,34.506755673411,36.88362778425045,33.977868273431234,30.84352193771921,30.835974165510553,29.024129820039313,27.573714218279942,32.88029559115659,28.32829957131248,29.898921085667897,34.145739441838394,32.725160698851695,33.46713047276074,31.858186511781557,35.87119520245131,35.95121968281956,31.696132162873475,35.62655307336654,38.627228837225495,38.648373565059266,41.26826856838874,36.59591165819967,42.07359056859284,43.47299755355733,39.20030803664455,39.778828483350125,44.390998419084035,42.8491338780873,39.6382107672922,41.584193022943666,40.50449070493117,41.01427395326101,38.1075297418746,35.2961284789459,32.22610104671375,30.57672430728889,27.43343309470662,26.90266486211395,25.302230091070467,27.79607692553487,30.30792080119669,32.48090838694492,32.741550806903874,38.80977429174134,37.1740188211809,40.951771757715306,39.48988248278117,39.560509095195975,38.54506819196285,37.28250429294447,36.26437560895763,35.912467397495234,31.998744584215043,31.843656441449905,33.08764411225045,35.39672562065529,34.032722733181224,38.52358467558574,35.92869406004455,39.04556432172007,36.44667943827102,35.467495686561556,31.01992592974299,32.239076759396596,28.158355128946777,31.061882420178954,29.30139042788398,32.37109957420677,31.771173591140293,31.853710449724186,31.532333118505765,30.53692942339559,32.167592014611515,28.09406659566566,31.26829587436684,29.66126642774567,26.5137652864949,26.82877518229492,22.562134657829393,20.882557433037153,18.471022560610287,16.13809504797328,16.105310287150967,13.821628802551535,16.899642548062545,15.474002388063795,20.391628864233134,20.450537972996027,17.24651395892215,15.577143596378818,11.19282406755011,11.187095502522133,12.279233273153151,12.725526665389443,16.187328008711738,17.85544508123182,21.17357814319751,24.975154891362244,24.20190621180455,28.781117649382782,27.806150971149528,29.228658467585696,24.14476346427014,20.330793406224487,18.25380692413758,15.009846206180816,12.050002422030653,14.985201456805058,14.53390558243951,19.319614578807695,19.78952346650501,18.384295727603252,22.104045953173415,22.212210465191358,19.299419531589404,20.71926414232584,21.663259369406237,20.99254335884514,24.018838576852573,25.14440218975981,30.17280724377438,31.303657442254735,30.783428151059553,30.21000387184362,26.933742202856106,27.40361696224938,26.22329014157709,25.540853942409864,22.734426648191967,24.736911131605694,21.11550551584814,25.92593967780202,25.05611696299894,21.281372424091817,24.438739532844068,25.01881768049082,23.17036649093843,19.505651934490594,20.98764531750683,19.22168917191778,23.837114327635007,26.139422708978547,27.9375873968042,30.228391654819987,29.023668445244272,34.33972412972113,32.44914738479628,33.59479696653683,30.695509183173538,28.52945324997074,31.581295217595446,33.0630882624997,29.800307680810032,31.854376147240444,30.43545623574128,33.93537119436515,30.481254884685146,32.68040566905193,32.69706078148278,30.732657223555748,30.548789803772525,29.078151957502154,30.135086231118255,30.83795283216308,26.6306104795858,29.243126749888248,27.72609183245269,27.512232991319486,31.098215952357794,30.564406650394144,26.433582652403736,27.412123923817273,31.122817792494637,27.87819921398623,23.961377818476397,28.82030248174093,31.865048720168623,26.406698995525662,27.180799912692198,30.987084067238477,29.257142609721498,25.96406625068017,29.522091801975805,28.12157678466998,33.94254217630343,31.679788886277233,32.14409738709585,35.959638660034855,39.57353565969684,43.627367626743045,44.42023440289821,45.36324685837022,42.84955316960229,44.681895542621625,41.7382902716759,44.85418365903959,44.09124359145564,37.879101445385075,39.62961330058481,42.52459136794259,38.598962033522135,35.89071648941062,38.262091214323604,38.389093116952644,34.46956421898533,32.50027049612299,30.872709050252,32.757342536078,36.26585677612803,36.838587851188755,38.83177173946005,42.45553592784456,39.39646535701229,35.48273146201457,38.781152789176254,39.41169726480693,34.47681388591844,34.08483866896219,37.09096302330821,35.49969886714489,32.53346393008751,37.23910081357472,38.28655546190749,34.30703569458492,35.496033357355614,39.30416791731488,37.5688741577785,39.76602237253445,37.925324163876326,41.01830853309313,40.327817398302884,34.53119341802036,36.95244890436655,38.58646729598247,35.685124259517735,32.98941523339077,38.493339768156915,37.61830690054484,32.16880974814998,33.30229965194362,38.04563691788339,36.37428389898056,32.28550023562544,28.111030069421524,31.302830122175646,27.540518448406765,30.039752745831578,24.847939687380467,25.186379344907476,22.11388008128935,20.25027975230417,20.705317673582314,22.663183238614806,22.567004434415978,25.037249878925522,20.86088428969332,23.34065196541346,19.251336747367464,21.40715704390785,25.953745805898716,28.870648077980647,29.02852939525128,23.632219028983883,25.226633036715707,27.6231997073457,23.02054547429802,21.895619561019895,26.661276553291252,29.299464757661056,30.795750226245577,31.909988637536404,33.21873635974876],[28.666826363168255,25.968948077719645,24.000435496672292,18.93101635864649,17.87333300668631,21.08059424404995,19.708161291383025,23.83131376238918,22.878740932698495,20.635833196135863,23.614056004078165,27.31911527741889,23.433480219335415,21.1996386707757,25.787360945360195,26.476078928670848,22.228873445323096,24.814207244811396,23.93101790512696,26.174978931118236,27.73868219852706,30.70070233694514,30.17641373312371,27.88814255815013,25.594169380757762,22.89914219923238,22.37829451514228,20.877283683008798,24.345760134200425,26.59566531309758,30.357652634154782,31.394212781551552,35.54264625806695,37.318436320828084,34.163205159691785,30.58838604134156,30.890306258424904,28.053989801113904,26.13840281206905,31.065116199285296,25.97258176554597,27.752696491610003,31.79696129973508,29.893276782924854,30.118569271750474,28.15566150821378,32.075644627890114,32.689264527247985,28.479164033182354,32.176708892637414,35.559281477597324,35.92558532544944,38.65532907084574,34.33338702681723,40.050197256148095,40.98652155655857,36.67111660304895,37.866629469418605,42.276596616656235,40.18660445754924,37.32590505066834,39.70750097681389,39.099700845410936,39.126914080828975,35.964304963480025,33.624367873072515,30.683348841115375,29.731600258036,26.652073754244377,26.986612844064783,25.213013361195408,27.728233919671812,30.278540153089427,31.703120240908625,32.412301768897976,38.22599285536897,36.26645772610073,40.35561399075328,38.657163029317395,38.32276174211099,37.67317422053596,36.011640815338346,35.70333686429072,34.85843640642901,30.69684137706236,31.042174577454272,31.939297652361226,34.93981718407342,33.25903283475316,38.30418094264615,35.80231920781792,39.01803017339345,36.88159199622036,36.356931222044715,32.20100293475522,33.80389604500327,30.012146228503656,32.7774387677007,31.383801069279993,34.89841255027454,33.37087194735041,33.725059670138215,32.53526186521105,31.84839209176618,32.69184830016311,29.117474605791646,32.364742637122426,30.432194595688845,27.855573556052743,28.479431654493236,24.68365167635466,22.329871921755473,20.63480019444682,17.37943320233032,17.292143200076502,14.054708425598074,16.496279819684652,13.873400131388156,18.760789606411013,20.017089344657222,17.099185443115875,16.380113129654095,11.724213127987609,12.798524067996023,14.919381670440908,14.207455756648153,18.72592045709317,19.169248924650955,22.29800481439912,25.45606126309299,24.454995233150257,28.874564525423,27.11432038781501,28.903076480399452,23.424325080523378,20.012710927231513,18.06738639802315,14.44406518141535,11.073415315997863,13.517972173134494,11.355938655874857,15.869701326767876,17.269178497435327,16.55875383849931,20.321010038618518,21.466975507617107,18.867202279835666,21.28613594621557,22.721076187308782,23.025909499815693,26.366433038618887,28.101785908187125,33.02475963368105,34.82542097238006,33.89918086554396,32.776295955457826,29.147378212741444,29.40191708737632,27.588245139736117,26.613119266415964,22.811193592292252,24.30780949147584,19.790330792681367,24.456893178981534,22.92559809084731,18.59020571379832,22.047845759381207,21.95372414643688,20.688501819245268,17.132801804419294,19.25143739011621,17.748087414309918,22.507723216727257,25.255539198470757,27.402453458146155,30.277162035055575,29.307557001433434,34.48956692749138,31.88214073999688,33.182884399276965,29.59770644684827,28.363626480044335,30.653739013531087,31.61768638726559,28.19611456560925,29.7538725334821,28.259823649934255,31.212195511087618,27.128586306027195,29.637207184448926,29.622231633118407,28.208516961537608,28.296862317241022,27.329464929323684,28.816260851788407,29.86492216007371,26.16687646816957,29.325424569027792,28.472197663248796,28.7309806726376,32.631216443832216,32.56153130301743,28.482815932302803,29.481185787348966,33.51285472361839,30.738111679568107,26.75478288137564,31.630321890539925,35.06478587970729,30.002590306449015,30.7017592279891,34.62635592997371,33.27287906938468,30.072926941524987,33.404269058517855,31.621888170635764,37.492846373502424,34.43914334064841,34.919307538336696,38.906997329193956,42.045312423325115,46.37316155792199,46.64400282684299,47.57309711456755,44.820561090266295,46.437326098113466,43.38845648225117,46.07934666109445,45.45516160660605,39.31786994491395,40.68194952540367,43.24227675822634,39.45870706422355,36.62365848319819,38.507371910842814,38.58002286507543,34.91229531339777,32.425874821112735,31.690817954798323,33.45143301953196,37.15223067016629,38.385531664325626,40.39018689566836,44.381920418482196,41.28766386069117,37.35251133548795,41.15878740644379,41.957308873152826,37.02378162992538,36.83507669186009,40.22101634854204,38.87374051816033,35.93954284087426,40.5738547443496,41.935319397191115,38.23908274799559,39.19876632782744,42.87667101343582,40.862785832397364,42.73697417672903,40.57933372955413,43.3766447753097,43.026554757990496,37.22720306348855,39.08941299279765,40.74733522806985,38.049787085362965,34.88139159573246,40.05764828067656,39.39871675325575,33.97584621979752,34.482439336874116,39.15961040549164,37.704867376084565,33.66645830165914,29.894646449136882,32.706688148874356,29.30752885773401,32.43194999815031,27.537756770834992,28.000718641609982,25.54418636565099,23.338965069962494,23.170152707790255,24.45016778453636,23.993552948033184,26.780796949511632,22.803183632578055,24.782072542351944,21.13453900466683,24.195589114629083,28.497226039192785,31.71067747609149,31.928914061096958,26.785481578889133,28.734274820688302,31.399492266588286,26.80719913933777,26.062161546972877,30.79496626433988,33.62440643565211,35.127124747068684,36.192674475698496,37.496237426050044],[30.066153244711582,27.655430464681174,25.96408999908485,20.737865050010225,19.823145221054936,21.78379560723267,19.852969682705595,23.56444365990477,21.86202316993106,18.98733754988395,21.47569723674048,25.460879403580407,21.518555345883264,18.67287838841623,23.01817663069157,24.00513859488162,19.74112231020345,21.938189746437228,20.777374134597515,23.56706537314073,24.96425067509971,28.33631627256914,27.656495324294703,25.588243649446238,23.473300751155687,20.33045672602365,20.30528538195806,18.678201770430675,22.05442683502767,24.558326736304025,27.51293110746457,29.22868579717722,33.12049979806029,34.70030096810143,31.84439199879264,28.19466349164507,29.079601921797305,26.233535791737378,24.7089688445242,30.112678103302823,24.882121358905657,25.89887098206131,30.111625604586802,28.57692796965773,28.756364634468753,27.273459283320832,31.25877315189233,31.686295111078987,27.955326770941003,32.08193116032353,35.11868492750202,35.56385322418473,37.94159103864457,33.48041977529493,38.99886720411202,39.74176727684133,35.25423880492515,36.16156380203971,40.54095211064424,38.46816660282012,35.19953151606255,37.197184107674765,36.38473519814728,36.237165086436654,33.32950204112406,31.050132210033304,27.55183007207957,26.6070319623697,23.10834026587254,23.435300102497354,21.40613128846419,23.677662549883923,26.483242398630185,28.022093538258023,29.05480649488716,34.88140963902488,33.34247231268116,37.489216467247836,36.13907938578268,36.13093308749105,35.87930684888694,34.690065877544,34.60892055591177,34.24022040528155,30.05111383226654,29.861449055166428,30.205401733683612,33.1330399410538,30.87808353801654,35.74921193483337,32.894455535466165,35.79037029372549,33.68394281663373,33.37683852315278,29.33316011972479,30.74883712908628,27.09090855044956,30.361594107743066,29.359896457728812,33.33450776225533,31.764767543809366,32.88049388252972,31.522338728235983,31.598228143539142,32.906156802335346,29.699764819886898,33.40610738865967,31.9347576929793,29.516683652981968,29.52323185341246,25.7949910068312,22.918119459505682,20.654776779426363,17.311337161477354,15.96760958022938,12.69025007795889,14.341176136213395,11.6217759558054,15.616780265302284,16.95385513473663,13.804169211837143,13.534062103091857,9.28508568575221,11.392018090776372,14.333582484441449,14.797536070685705,19.9619718331898,20.444233527688688,23.908933569456075,26.77906786855044,26.62828975375388,30.960736189683196,29.13580336020415,30.295307429407313,25.132846742569686,21.374799852010593,20.47912785394927,16.142949559659513,12.291725803265702,13.788342283696823,11.102842475058946,15.154156580721486,15.765901226949858,15.497006063017732,19.232313441450987,20.015773921083767,17.723794651892923,20.220540479987307,22.221502279105373,22.389782526185005,26.228068853861384,27.45536959991166,32.54773631145536,34.104556325713375,32.69896661566779,31.712262158356193,27.955431949121564,28.804299590668425,26.51839621849335,26.461868114923618,22.780257683731637,23.468027485874842,19.446332929441176,23.986730864616863,23.334957010022247,19.538717277781974,23.57211168119612,23.851803951296127,23.11962576614047,19.303477278289474,21.188041341207043,18.9792395296593,23.188265899490684,25.532969832682614,27.17872419917717,29.96987395051071,28.365302871728396,33.75824511702194,31.34131561209799,33.03418031720448,29.82816273540192,28.916870987787853,31.628954850336477,32.76418527539485,29.21925162250088,30.1035887607935,27.998150051338694,31.346618506023237,27.369143488788158,30.40027587951076,30.912335756748266,29.42063243190294,30.133387082421475,29.422967068864192,31.11944112223998,32.5502602405658,28.921350375822367,32.04970483800394,31.374403762067796,31.12422808934342,35.24861069453224,34.72210213136314,30.647626398515403,32.197177900019064,36.024734580051955,32.90010713646169,29.4287104644482,34.35331937633552,37.296324349489915,32.1661860829938,33.20954626024377,37.0185313540323,35.205412807880094,32.204469779285105,35.89979386923977,34.42776531135934,40.189486117399824,37.75451255248617,38.019723860826836,41.87683998029193,45.21824843795709,49.417548069182466,49.85814862410838,50.55122484592956,47.751821454015705,49.234238313772664,45.95592828144083,48.85237091104272,48.49122864196526,42.263251613213946,43.480493333463436,46.36159012168696,42.74306417166601,39.72644972525294,41.54929897776184,42.051748331713725,38.43226391683642,35.61110273670116,34.79557454122664,35.97440999406241,39.68176901612522,40.80723083095207,42.45242665411503,46.345138618105786,42.91597942187015,39.291405932970456,43.148033164429016,43.51751552712735,38.54109122260714,38.752992707243365,41.88313672850914,40.29527520713774,37.68123910865462,42.51198926397332,43.58677522673658,39.790644570550064,41.219242885460226,44.98988286065477,43.22537356911834,45.10971002329084,42.904321666476605,45.955427780143175,45.740200253641106,39.91240537066132,41.876446206356,43.80776053830592,41.136127403203595,38.00125832078124,43.351293893021975,42.89904934532746,37.450836199414034,37.97561971284934,42.81497866623654,41.49705238103626,37.45062794870103,33.58249173354319,36.655927544799496,33.18514405920495,36.03891767487795,30.971075025540525,31.163619825169775,28.266543878265676,26.508032382363584,26.55815649876459,28.184288760533807,27.644011420376117,30.078158610406845,25.65335547311628,27.364379429787828,23.2363445342292,26.128304203295116,29.977629252883172,33.24219719022014,32.8889846924138,27.832798506912997,30.209992530132876,32.38982710556099,27.371642521772674,27.252506667867504,32.116962554923624,34.515678403239946,35.88013714204934,36.87110468931318,38.19753090492538],[25.334042151889395,23.00170072184692,21.349019474059716,16.221318774633307,15.387165280479582,16.45553492413049,14.479909084617532,18.23352033074067,16.502709227412943,14.070792172268076,16.875090199423386,20.735015747405484,17.320467357093104,14.663196180873447,19.524458871796128,20.591039307815112,16.876203697118985,20.03340672809226,20.282614938448106,22.87989217739735,25.180211819342933,28.703602515432603,28.710466291478888,27.172754540115037,24.446782966030877,20.977453545844533,20.04654520650845,17.38920473099071,19.96913427726172,21.603349999570472,24.900208706603195,25.886843360837567,29.836356369402957,32.06199136209978,29.259714814963942,26.089211067655494,26.37943576603129,24.629479798343088,23.49806279007139,29.18218076259434,24.711103818673127,25.76860095856077,30.141423795801185,29.119245218325084,30.08863346205817,28.966775516788854,33.04168457929267,32.70285170808121,28.7704019637446,33.10173885949681,35.65848016044255,35.61650645335534,37.926379410598095,33.06895171601028,38.32912239492566,39.72447684840609,35.381885634430084,35.60900954053514,40.24528522711775,38.90316175621627,35.3924761971749,37.046272891681454,35.781577724693115,36.397643575809305,33.643566880467034,30.69938214067667,27.50332965585494,25.680452683554496,22.547470718096992,21.927450008155468,20.42200600018731,23.084090929921754,25.400323803346478,27.608341053795385,27.759462985827994,33.8482915020801,32.30742868475015,36.05611894840232,34.73200169927931,34.99949975804765,34.142654112752695,33.22295500831267,32.30284634353257,32.35001100066758,28.445952771877952,27.83446667721077,28.760650821377702,30.956232790268693,29.32692577586712,33.70831451250613,30.99655128022277,34.05784241563485,31.481703269834103,30.596149868072317,26.21643789896311,27.52060321123575,23.546380959648904,26.547219506207426,25.082860849370217,28.62525126203554,27.661723933561266,28.396848060910642,27.726254821103673,27.459115726692403,29.407133091493797,25.810817067246266,29.52776866580297,28.414887950400498,25.641157247085157,25.257249972936638,21.264643116192232,18.71351272472965,15.8792340512648,13.175792201074197,11.959629068048647,9.585625550780511,12.273452805245439,11.210595026126803,15.83801906161054,15.529421312727361,12.291650628663133,10.615706163812764,6.291015630838905,6.910706874194834,9.165569562478703,10.596133352162243,15.307407793356056,16.517860593792317,20.200712684997367,23.461129216022833,23.771520433913185,28.173667522156535,27.027863055382536,27.682856799613134,22.982049669765885,18.789171086734953,18.14452684158113,13.934972894365048,10.457665555021627,12.37756067803097,12.113767705538281,16.587900612477565,16.1292971704102,14.737107139941676,18.373598727464522,18.024894215832894,15.29535624546197,16.764451167993894,18.2646433029257,17.704562003743764,21.354348798889543,22.278130917300487,27.43222520160375,28.753304171022933,27.586890495949653,26.827541022426033,23.285707588861108,24.18161356731954,22.416962284005688,22.49432760457396,19.680442380545863,20.963305065801457,17.85732866985256,22.5592872884565,22.587593072901168,19.499911788248276,23.173225704644697,24.348119938934552,23.03981596439802,19.03787733042023,20.14339120047117,17.541026978451477,21.52210348333886,23.381465905501763,24.692031682745647,26.9167886554877,25.18118140543681,30.670306232267258,28.925213613209753,30.415518953582012,27.894506831362293,26.051809144026553,29.53412932192649,31.223691431943504,27.848202815039027,29.29410121423273,27.360675016425297,31.32778608700003,28.219457432042105,30.760494282923432,31.325941894451773,29.130302365097783,29.6041301960339,28.39587096794595,29.706088419693348,30.950243603519095,26.913040387988943,29.55646538049821,28.50626759032068,27.64170298800734,31.675375590898902,30.63405118564489,26.563934156355714,28.448449214903892,31.957272997574087,28.454462585700956,25.44986974720997,30.351307865343863,32.77752740545948,27.60691698215402,28.978596897025426,32.63779509130874,30.468493259091925,27.750182768350943,31.781673168970535,30.605389047710027,36.145272721140906,34.51786114519297,34.41643218416241,38.0641429686467,41.66732987058343,45.64152698821292,46.37609396998598,46.83695475403291,44.104938244214175,45.58357740830202,42.23010026941211,45.49648792171191,45.23234452577812,38.92397052178747,40.270865546581575,43.57959815803635,40.01558956215449,36.95259871088811,39.07603172111858,39.94761275519133,36.2100044839942,33.508381947981704,31.997598308040995,32.88948520260756,36.44725502721553,37.08013585553837,38.53950043269777,42.15827770520668,38.632050202010475,35.14684131394447,38.74207901313722,38.85036920310975,33.871036746390345,34.166072910759304,37.02316261563584,35.26158892225788,32.80438107401116,37.74036183355989,38.59386865316493,34.73963985259692,36.47187446870898,40.29499797093596,38.75744600286665,40.69641929185857,38.56724636782439,41.8872727669244,41.66344560580988,35.84895941932284,38.0748032116996,40.22204837784359,37.53558132779848,34.61647171987385,40.23840903291306,39.942172300191075,34.50120162067508,35.29313576988219,40.32379220917462,39.1264783990052,35.092846145726035,31.030304219491317,34.68403038213721,31.17167392692566,33.39498846586256,28.124255880692026,27.7629653420227,24.382107739317956,23.37035756423163,23.618876410027596,25.84726241048342,25.20920487811597,27.028051436628303,22.164197078088883,23.894543059060695,19.29052669266596,21.634893129662334,25.328108685578044,28.467503281489382,27.892977604741297,22.77582332451076,25.220571811989746,27.13355912742447,21.998123119500868,22.097929915225905,26.997063158741817,29.22386975652595,30.568469203737244,31.61707986720526,33.03052653156348],[29.508881691488288,26.743659323372746,24.071479469993154,19.70564421141329,16.972107676189808,19.2764987120249,16.615575245004543,19.875118693175438,19.078466842596406,15.92690400827729,18.78240593056897,22.185282306856912,17.458685693039723,15.913934272555919,19.932314393046617,20.056825115567353,15.53318760396819,18.029113436327766,17.45415894932872,19.21423983507804,21.21233860903963,24.11832968397597,24.106125741534935,22.22656040230043,19.388349517080247,16.55033403641553,15.411059136847225,13.67238689438845,17.17350451307316,19.56028916604972,23.699092090557105,24.58095574211578,28.82607056370055,30.376332610871902,27.03752622264713,23.410746460671238,23.668435456224067,20.73435951039728,18.907378195661142,24.10150376680994,19.23814156665182,20.857585486692503,25.025158330106887,23.52833310304754,24.355426111773024,22.94876743157906,27.00563892404505,26.825508643944943,22.733828176957395,26.93175123163878,29.696373891939785,29.816546666366143,32.283110741476925,27.65883568099053,33.20344750534714,34.35499153584955,30.046744032765083,30.847788851080363,35.37549311310412,33.683530950527356,30.63214280168798,32.89864440456136,32.18738692196808,32.623551176227366,29.429807096951585,26.745878037894517,24.260315246702245,23.068676920027755,20.620623107450637,21.052316865586818,19.812408175609896,22.94007435434624,24.69632385932539,25.840059335802867,25.980251917905804,31.72412273747876,29.37365038414801,33.36651092630392,31.48724747441535,31.112514259364797,30.352003274223925,28.801636946298537,28.512213323647646,27.896767923719736,23.734688264636635,23.80609225684649,24.64700033919563,27.617072629051098,26.038854519451572,31.159172562248802,28.8993389611264,32.4008550878903,30.39455427269027,29.89346344615882,25.91067042452358,27.983318617176668,24.45877272599802,26.614313228274014,25.455240820259256,29.297700193835617,26.94106946687433,27.70654240884715,25.863622691090075,25.808340063530064,26.631562478542673,23.71675702671057,27.51677533392579,26.093543129849433,24.156782016892272,24.071328109530526,20.876741824643027,17.389457885883285,15.832708858679892,11.862337523089435,11.106438521636488,7.35183234459947,9.441988765640305,6.9602990148132955,12.63002931287659,13.511276494755068,11.194481416044859,10.638531606758022,6.271516384118493,7.776087317142861,10.87564356189909,9.894368799923198,15.8705809912298,15.185805556022052,18.546993329188453,20.803891259519137,21.166322990304007,25.257787223254542,23.252973693748093,24.0445987736664,19.088644227630997,15.273245795148773,15.37073559158814,10.48377386654125,6.503009830544435,7.318520245362269,5.916961589084274,10.482857482166311,10.630280839440166,9.481127822605643,13.249653051638703,14.16393127117627,11.696649275186193,14.521483701773626,16.508550366489406,17.525586420300314,21.368810026902686,23.40388327142304,28.16069223477561,30.673821908809316,29.059806598554996,27.341454994815592,23.403851954900404,23.691816911929806,21.19604556854113,20.57700101437648,16.44125004144006,17.235720734641994,12.98349022597782,17.607348627280498,17.035204374849453,13.672119077567736,17.748044403242233,18.7682654600863,18.13809536307328,14.094746560096706,15.462580300858276,12.772574554282071,16.70595589037002,18.984381610761634,20.707680672048813,23.625842632159635,22.361678100228648,27.582000515902894,24.96158881508136,26.555076164269426,23.279609425375412,22.46083942047375,25.156175210418155,26.39290606859276,22.850030787845817,23.809432895121454,21.828578415673448,25.427655665694495,22.047731413567917,24.758534300402655,25.43869312857939,23.498615055414053,24.386971151902877,23.68691800957106,25.46261356698597,27.252712700101682,23.830488767414188,26.984305989997186,26.859250416287107,26.2692510054192,30.782267226647328,30.15109375708943,26.233094678910852,28.431007687989638,32.216159343409835,29.30145170839197,26.578380065526236,31.454146343717653,34.151224059443955,29.715907046309905,31.18869503171402,34.93330782025719,33.20865171257628,30.869243570880712,34.740356971478384,33.117953731359464,38.5516584842684,36.22971225780448,35.80337926428053,39.56427149328305,42.52796648674933,46.7839342915636,46.834534915744584,47.03025018512788,43.91258581917091,44.965976457349214,41.34599058362661,44.15711749588512,44.26767569258529,38.04600426874612,38.76880285094831,41.879569417810316,38.674416887381945,35.32332254383627,36.80581041940243,38.01205753614316,34.659981589088154,31.075189101687073,30.544583081053393,30.848680753864656,34.60638598759426,36.02252525071024,37.31379703892892,41.36446477658569,37.71234825057136,34.3318867137811,38.635801746698064,38.85269815367749,33.91933173316013,34.64564136232879,37.98157881069208,36.57603732487667,34.2998949553676,39.13445835809921,40.41157616028824,37.08335815526157,38.57977430923227,42.179687150472894,40.31281008356437,41.68556016167608,39.038436544374335,42.027803857997704,42.44145960026238,36.65771556599044,38.068911305620695,40.46641354114644,38.15748411127047,34.57952765866253,39.83980352279757,40.122458901720364,34.75683574901337,34.65330155487019,39.742542314290105,39.10035663551428,35.190392285048645,31.676162055945888,35.250645366593346,32.356591317062495,35.03783501940815,30.08309986683402,29.422123596256622,26.720629602761118,25.7401885564468,25.10392831613418,26.7443714134221,25.37074136491422,27.10453029477332,22.232005630944734,23.020207054059018,18.916620040678872,22.43210053755288,25.512341125157352,29.06410661718118,28.513604416370434,23.910052996593507,26.955922174824035,29.221115942030856,24.244950717643263,25.03249052117688,29.806417680602436,32.31693042979913,33.71271021752745,34.74718512990824,36.22696486288717],[33.23534241328603,30.705683281159576,28.316512463745106,23.801239738767446,21.36917371183112,22.85724780266978,19.83404940730282,22.568261642657788,21.06932578534042,17.182911840793405,19.28146918572415,22.909244365460392,17.947283252097087,15.781727959119513,19.087089120441966,19.40665498113801,14.646800448461157,16.040191780407504,14.318666383815799,16.73055870881634,18.061599477827475,21.31807294712452,20.823101016169957,18.9527711451876,16.566519414047143,13.368358693125504,13.332912358320671,12.128315562853706,15.929698079311141,19.07521820539455,22.114329445499205,24.084614638946427,27.985312087965614,28.947348831733382,25.89628443446899,21.952441895067146,23.179618140179464,19.652452859841752,18.101552459098652,23.57436544475229,18.246330857098933,18.900822053454085,23.140480375355313,21.81808049372997,22.20510191887005,21.20028884029044,25.251764347899858,25.207564286377114,21.82395740060711,26.341663214249177,28.90138663762007,29.354054441230446,31.433019166774933,26.910079520393484,32.30360166060188,32.90728702934961,28.372079533173622,29.196281930411946,33.53434675204964,31.51421447715758,28.160827819048265,30.203500754753815,29.52429905842299,29.413026010571716,26.385054671537134,24.09268977034413,20.918233199285282,20.209731557274917,17.229320593192057,18.25058790419127,16.579466121077353,19.405159470045636,21.480138801850856,22.282993123864678,23.141909064979615,28.73939069425625,26.74725547392515,31.003912972766745,29.445337108549325,29.251309986685722,29.24003397656758,28.071430084437374,28.4980579227493,28.191961939786204,23.946690754290707,23.634034776916,23.50608304126861,26.768425187305155,24.243873570937907,29.436524321203173,26.776903893804278,29.90097371908808,28.206515667573637,28.243343164769506,24.61007433677832,26.603115216902196,23.451899342387858,26.146474947394353,25.661902387680982,30.141240634556006,27.422071763896415,29.170681505077837,26.815980884662938,27.760956613551684,28.727164240137245,26.49120564655073,30.62891364715816,29.533123087252633,27.966008283766378,27.46691077637126,24.560280239171927,20.60616141558545,18.788578622370633,14.785394759729924,12.579633472734141,8.839485558747223,8.791789246496043,5.127077723429232,9.052517528109679,11.115377770041903,8.823422726573883,9.797757892158186,6.714156875770809,9.829857926383317,13.682694138984214,13.725546919451743,19.910034153624927,19.085693908600923,22.467264598970424,24.178693208981894,25.109952533474576,28.937639790887218,26.625974228573863,27.01363399294349,22.378053528570664,18.6824652620761,19.582568570727272,14.52265584582658,10.659076189727253,10.006447267981912,6.726339785937003,9.538328519190847,9.116798038343982,9.472205601035277,12.920330947007656,14.006718373741062,12.4116875194221,15.702276867778409,18.48520108149427,19.65247127599177,23.943021729284528,25.53968200319829,30.325817362729964,32.69721851085323,30.501699189393847,28.809331224333878,24.71477859715633,25.58923068246279,22.39291148808012,22.73383840336652,18.515340600781947,17.975516495931657,14.108209214597721,18.158652893670048,18.292469719557356,15.41600763506471,20.018681011698614,20.882111752871964,21.11208848739808,17.204699840386212,18.655092193510896,15.710025326228621,18.812689964642054,20.753610735013346,22.0008666849674,25.0155205603927,23.152890873553606,28.41379346675995,25.708471281333512,27.802012995103865,24.6837349884045,24.743089922790436,27.390187421047372,28.481562998005344,24.84773731640182,24.73243339990854,22.0146479967917,25.631633686510575,22.0350126665578,25.501568430241946,26.70735124309741,25.107072003757686,26.73729427255549,26.571885164005383,28.680227255124496,30.859977438129164,27.795695465129167,31.051911712642198,31.238699263430153,30.49676743888541,35.13939964128558,34.34125536842601,30.503206937895726,32.968286780031384,36.656336745099836,33.63496158656523,31.164397466541356,36.03026797136896,38.50219593429351,34.056424317758214,35.65602828723767,39.34044100065068,37.384671352874946,35.10053427735335,39.11275515124157,37.63012690353855,43.04697000774891,40.903320055947674,40.47231511526781,44.19234033658507,47.201406297926894,51.4043418503031,51.48056159542725,51.57820693591092,48.412006852248936,49.337512020312296,45.580959065036254,48.382316879834626,48.682735998695485,42.479909740964544,43.00943812999774,46.175361265518646,43.124513908780756,39.67950477192792,40.950678047458354,42.35122982612753,39.12531765612326,35.26563242902023,34.98386684537573,34.9135863289039,38.677543706043565,40.1928455210109,41.22026420169348,45.25135171019491,41.37628787782057,38.27339798364044,42.68118854401878,42.615103545491635,37.71246428542374,38.75485840283259,41.9380903054067,40.40453431719212,38.374229643930015,43.29043756061781,44.39555287888811,41.03187097397713,42.80079986583031,46.43501057918621,44.70125617216243,46.049551576559985,43.35048463601302,46.418908446694054,46.951960527278096,41.18352673374082,42.562198992995306,45.07692874848897,42.809336021907946,39.20819532520338,44.44829417039768,44.82781856301396,39.473675481794345,39.28598295524812,44.37901681237339,43.790088922584715,39.890102022208495,36.3920624643151,39.89651823053743,36.95459914319993,39.686789698367704,34.69243016522484,34.08508441479259,31.240057767541227,30.273645856589344,29.77034424081681,31.418242184247983,30.083596630090828,31.812731537878392,26.878381148401424,27.475266741016018,23.29688743741523,26.72676742757286,29.42485689745531,32.997442342653365,32.018467145362244,27.61735027491822,30.946599462878897,32.85847473127301,27.623776736235854,28.8459316273354,33.65771959197212,35.846640822078896,37.11435589459496,38.06609367234056,39.51828336039808],[31.591176291795993,29.404277134188813,27.600951504997983,22.791133752727696,21.244067238195836,21.678534043400376,18.753152224287895,21.44437238117382,19.16380463743087,15.293208265246268,17.060723368867087,21.065974358013797,16.773221812750666,13.648077816308394,17.323260232764188,18.35951615978163,14.07611971034287,15.800385006284426,14.703863246931656,17.88736813652298,19.471386824646345,23.286878696656363,22.843158480182424,21.431697081797786,19.112104212403523,15.369683156148728,15.49874747524789,13.459353087208276,16.463152741594207,19.168024531681485,21.354662702184918,23.660931225275874,27.29180527457424,28.611591211085553,26.01475286436201,22.36206738530649,23.79692737120682,21.124071835188076,20.22471418849479,26.144910313573238,21.16964316357106,21.232526444973665,25.622955576453542,24.808143974199695,25.38091293225536,24.75452370180483,28.783349169469783,28.489378932247334,25.330861815907806,30.05116588307695,32.31345478881014,32.6278335282423,34.47913581899435,29.74528286330831,34.86068852102469,35.60908156688548,31.03092182947307,31.31577954104166,35.71767314644109,34.01741744619335,30.228404819330382,31.679500563902984,30.522280403383622,30.53647910789601,27.93665937374583,25.435933182973034,21.624464352759375,20.38360488138595,16.775289574875618,16.985651915826736,15.022423764483934,17.519777007919018,20.071078106871802,21.706034215745866,22.631192995100207,28.491637197240898,27.198602449563403,31.28371462111957,30.217104314253078,30.577079914332696,30.59675754536993,30.02344981118734,30.066337739744142,30.373405467354036,26.31126489847305,25.356547594564542,25.14558469995318,27.81198149721239,25.09713914145896,29.70462912038118,26.62320551413388,29.35820965458722,27.281107424146143,27.14369932395838,23.28437175922855,24.74912038739182,21.367895782708953,24.797881558641574,24.31450939152721,28.83858537268987,26.88017835091967,28.929698629957354,27.18660147708254,28.303716904249168,30.10460630268673,27.597085708744498,31.854897763224198,31.098038017695504,29.135967251340002,28.25187119552435,24.97673609817701,21.312806174306317,18.642673932782955,15.263326057239537,12.267681106514335,9.308757500164665,9.424576116326955,7.30419953687718,9.968624257067809,10.82134190735284,7.6113492056451975,8.021147852199773,5.310507694079878,8.752917436104882,12.610602713439475,14.196077301806001,19.976848482457793,20.060069621973014,23.715504694507302,25.866402810746646,27.059375282122012,31.04286875281366,29.199756175909666,29.2975043994663,24.9015241635326,20.84970893982341,21.66317501748548,16.682496842878315,12.843769667322054,12.705651828742443,10.578715755755004,13.465096806315705,12.319241590160987,12.301478502342523,15.59948581154306,15.579943920843629,13.867692777816774,16.295808430723397,19.007514201449755,19.26523860552838,23.648413032228074,24.447363161921604,29.476715500417974,31.12730619992612,28.945584634116397,27.819110980649,23.88973246350512,25.351422080703177,22.368787228588587,23.473872322218305,20.076196475777145,19.6019859120591,16.680298765668145,20.763791929124764,21.566400807420134,19.04482658502363,23.507678195211298,24.65606581417334,24.548422670101477,20.525027243123294,21.72227713979475,18.576307046402686,21.600568013372204,23.153865457547468,23.978368861366146,26.517915440666748,24.142233801155445,29.640279125271675,27.571089772768808,29.719131826904412,27.223169029073155,26.718389444218484,30.00215002477387,31.449831228101907,27.88426681620472,27.93200179877242,25.111014823825794,29.113771842886806,25.83766509942194,29.244286220721293,30.51232347978835,28.665997845846853,30.195529054868512,29.761607748888597,31.646639915400193,33.63085567952013,30.221923656637887,33.193032243892645,32.940147715266136,31.873449907046588,36.34591027282219,35.16762838728426,31.267483406578677,33.77357946950824,37.23715801037486,33.80794887649163,31.41342748096469,36.283538539022054,38.42193228271251,33.63418696720268,35.310136292742975,38.884147024726666,36.55288889868917,34.20379016116426,38.39583582434387,37.24874738715322,42.64147213222497,41.08005170915088,40.717331140248426,44.31867878120174,47.71382973970915,51.708487879519446,52.214833297359235,52.35582869660726,49.3607585249615,50.455538693512956,46.75283246539404,49.87759479062548,50.073750477623186,43.795500967704356,44.60134754147134,47.998338407247125,44.81471232124959,41.45566163039497,43.05522796677611,44.437988363173424,41.017589277003985,37.51327869506203,36.666486443357755,36.697057086635255,40.35204995558966,41.406750176729666,42.385319646656235,46.14308933487346,42.21317973404331,39.17992568736694,43.22882782852498,42.937647214479895,38.005803972589895,38.98752681889923,41.817711093123094,40.01798764652659,38.04077881380556,43.060056905838216,43.8373644768774,40.20123835144018,42.261557346536655,46.02354854140937,44.55721633427667,46.182470176925676,43.73092285172274,47.060471839239796,47.32286649499377,41.54425195471427,43.36598102850076,45.85562164418617,43.41419770419678,40.160156851108,45.647195451508324,45.81289722112216,40.41705880658066,40.6851059034901,45.817892239950645,44.9994529643995,41.0352653170612,37.23024109508849,40.87751082433949,37.61056601082042,40.017406134251864,34.82056672498306,34.253199043856455,30.955545614399757,30.1476892910349,30.122692490662256,32.159003607914286,31.145249600204963,32.78564454485566,27.708218407412225,28.667095608015764,24.084062973200453,26.88473413086809,29.68462362575483,33.054393617777656,31.830725736830477,27.26187276712347,30.45136245375656,31.971169193071713,26.540371690223004,27.713836798337653,32.57818011008507,34.42554511990593,35.60203538196281,36.52486449748507,37.95480447747107],[32.409199125364246,30.467633701307413,28.93004444575318,24.170240839430573,22.897391944915178,22.56165513650804,19.527125316568156,21.808360580275174,19.054152205805828,15.014437444955625,16.177233991091946,20.241123296867496,16.266076863066505,12.678363761479408,15.942029557807574,17.321002006927635,13.405913970954867,14.764336864938086,13.743326203263617,17.391119591423895,18.92927904016947,23.051504493081808,22.598152565583568,21.562456164556252,19.394613379045232,15.398682506328099,15.831230043726032,13.606560894192942,16.066237445110687,18.692843171009738,19.98311301526687,22.784383002611886,26.08913926717637,27.343680666124545,25.107638336547645,21.587477164233015,23.41560965835733,21.071712190094658,20.63412670081184,26.72556487050717,21.979654158884635,21.440547865982875,25.83453641415629,25.434890951049677,26.077804562080583,25.858445657588593,29.818023846620292,29.294227017702617,26.519095204572697,31.39110377248977,33.33013234909951,33.60415016808816,35.17470721467,30.39952759716125,35.21199918201796,35.90027317876466,31.327150401892627,31.264039114575663,35.59973576266348,34.06835015829695,29.979661282752595,31.001666187460092,29.582666176670873,29.579894827056805,27.302706046805838,24.78318251522136,20.562001972821612,19.134228134987087,15.16744656741588,15.085415259552855,12.914190657243502,15.16297703106222,17.932387772039725,19.879687847176392,20.9622833079794,26.83487822356542,26.006273019042368,30.00499254633209,29.297746323759593,30.01312941772617,30.255776596978414,30.127976075801225,30.185997720265675,30.92645240409293,26.999922023068805,25.601311944435334,25.052772610093527,27.431719475576536,24.383193648843847,28.6192419326716,25.257621959974273,27.658886706789815,25.51431698649131,25.47496159643643,21.713539467002928,22.906893869984664,19.66111432279795,23.515057954152716,23.32669010462706,28.048743185198393,26.270159046799726,28.810308116730095,27.140798696685646,28.71613172596666,30.911357966198967,28.607118362940735,32.99878067604619,32.56030980956057,30.637491750140487,29.40431495700586,26.21086168194619,22.508001761481243,19.523609454149714,16.49671781897049,12.878345978826486,10.604427649493658,10.017424588322667,8.759607846003773,9.689432790036529,10.002472744235178,6.7155297341638995,7.58745167308301,6.673599017647245,9.904994837251738,13.579581171426542,15.871310811250945,21.438747575498287,21.691134367040583,25.375751232179372,27.41768047975537,28.9960207999001,32.87844584712134,31.165859697573588,30.909244403975936,26.846696566465543,22.722816848017708,23.89505566840726,18.926807500862857,15.248965700420884,14.851364585010664,13.066172480103486,15.364008285333952,13.656755389231517,13.795663895823363,16.68400485692036,16.138888501500993,14.782544359869132,16.83360216143265,19.693828607142365,19.667891213328776,24.130463458155592,24.436702696742117,29.445827914520564,30.78772236963224,28.346135608132165,27.442731891685206,23.599651992262004,25.50009219785436,22.38825467929489,24.16621675592949,21.185700179012077,20.28239938118507,18.07773957313144,21.838499022624763,23.188337129062635,21.162159216583525,25.641297219041643,26.96809061064362,26.978669089552827,22.977646010056763,23.99077853140981,20.68858407498724,23.276351026332687,24.475120679215205,24.895879262150103,27.174266894422736,24.392880376352103,29.888377708381004,28.15150457528446,30.470573739768415,28.39625453725017,27.937503424396375,31.48162642699365,33.06725016108259,29.556795150291652,29.334681412359153,26.26202771587835,30.457446624009098,27.482314482284156,30.999180434508936,32.487226967709994,30.55807489116645,32.280041377563286,31.88863987674346,33.76524887027102,35.82248125513415,32.427342546610895,35.27047694940577,34.99754546861683,33.66755541955995,38.1311722886456,36.69256811577027,32.85195132210239,35.558014674299635,38.84084426510167,35.22960465327891,33.11544683916112,37.93306324592842,39.75979690235697,34.95529678205263,36.7754776327217,40.23247214450848,37.65434211132808,35.43058625147803,39.764813806084966,38.823322818720065,44.10130042464532,42.932635044659236,42.48738548168903,45.97643513994322,49.50761916767232,53.34031677443699,54.02544426240027,54.07094475937794,51.10922459612128,52.162134068288,48.393259956362435,51.659896428035694,51.95385592915861,45.66754112162887,46.45763699649251,50.023462594105865,46.91090480000711,43.513643359887254,45.14484840321173,46.7070864787094,43.278983507633875,39.74450646362255,38.75043541158071,38.55724886364347,42.147930597209964,43.04268754158139,43.83056341448154,47.44118428943019,43.38043348567486,40.55151491844746,44.5047026126454,43.96125613879311,39.07426924515791,40.22522039743351,42.826974862073115,40.882528111752784,39.10521118668483,44.172291882038984,44.739151399681866,41.056216824127006,43.37309411447981,47.16099002720848,45.876897500270886,47.53884305266936,45.132556909778614,48.60157443050274,48.87598394824179,43.134241650861114,45.06753588451456,47.65766867682735,45.214933421471834,42.068608591062876,47.63561864562237,47.856567716280495,42.47451641721467,42.836681500607185,48.01816209036911,47.21312991416804,43.25775120142205,39.38210596639967,43.148164528144,39.8138770961854,42.030668988340565,36.77133030910962,36.10271141571624,32.59548807370366,32.00278260272254,32.1381919782545,34.35206389550857,33.37399518970097,34.8493163424762,29.65913170211821,30.565212162731,25.843691802646006,28.348547151025063,30.87990474242148,34.167197711074955,32.63109238487865,28.2024354824936,31.503821666229495,32.69815777184133,27.164613797747812,28.615491072501094,33.423737892759284,35.00259196816986,36.09821717614368,37.02919915429899,38.45213871484954],[33.8718033957933,31.962272404857284,30.442145191757874,25.727792283974093,24.430874234597077,24.066935015388385,21.00628965160153,23.146645287243903,20.341071333318407,16.261495731693888,17.186249860104486,21.183200085975635,17.233956990788375,13.665322897264161,16.560583622316976,17.91624967531024,14.095617800503208,15.004880120686316,13.543677405724443,17.245610824377263,18.464253765976373,22.576468003013982,21.96430066784412,20.91128994701511,18.96913726393794,15.020025872975344,15.821228282139971,13.965044421647347,16.447269606846504,19.229613564846492,20.208766989666064,23.24409194821798,26.42498366100776,27.447547188208638,25.294296733558,21.72362843634973,23.783363727182056,21.246528520334927,20.84045041037941,26.8197036538925,22.000939152726325,21.25158041539246,25.551131828927602,25.146579907323744,25.623667133160982,25.49222395843089,29.382451986181245,28.93052587709305,26.381880266207716,31.241772258228053,33.13542449183818,33.51525942298615,34.975221165845575,30.331924394522847,35.07649361139607,35.58700871120396,30.98488673083399,30.993113680294385,35.22557438615243,33.57402892404574,29.48827069331082,30.47409445830467,29.131924557618177,28.896075154554214,26.688449138678997,24.37251953414563,20.050307329396773,18.87081656634381,14.849800645364455,15.054630108644233,12.82326240228832,14.869879232716075,17.665059724442013,19.378887785957364,20.70326573557636,26.405046563910602,25.656840472607243,29.714114968680438,29.080703408478286,29.790981834562803,30.260901698924048,30.181304710390734,30.46935917323785,31.24215392269026,27.303644813689985,25.892907924681115,25.097476765518426,27.58451457258922,24.314878123346386,28.56267559994598,25.146221397657637,27.42382964713222,25.439444269416473,25.58864764305546,22.01943853204376,23.198081141711146,20.139497420222874,24.035726383959144,24.036372535136966,28.87149496686459,26.948932889496255,29.68153599639886,27.851316818458542,29.631110588690177,31.763801772986316,29.642816143564843,34.04056996782025,33.6295292196165,31.84569591444385,30.596867325144572,27.529430412599364,23.74709377502229,20.861910191332406,17.833362816246147,14.179821438824321,11.99950450609633,10.993383015915159,9.56006172243443,9.543078437663981,10.448897781603364,7.643091854548849,8.934588356198963,8.532593634239529,11.627336189509007,15.173172755055342,17.375754909623595,22.910159227508803,23.02695386158624,26.639250711994137,28.501382705842996,30.128339701009917,33.91025838757906,32.08271057874601,31.79569720827628,27.79631093569869,23.796992243849164,25.089212500553664,20.125013794375647,16.51856972761742,15.888490856822663,13.765621957103475,15.541202669139295,13.889124454621307,14.417037470926555,17.090897108707583,16.730288202313535,15.658456281539216,17.816040570571932,20.76992613530625,20.865500241985057,25.33445080882585,25.607234779584577,30.542863605897438,31.886920205814693,29.33472185364753,28.398850922576276,24.559974368586225,26.52238841204272,23.278606304393122,25.169042812986767,22.1255021868831,20.936899603034895,18.769996196358225,22.29182000180723,23.632126204035806,21.722943626948013,26.256585870607456,27.486758605402922,27.73688886856452,23.810714989000576,24.87254141071738,21.59777555961662,23.99284146566606,25.17789675116289,25.54189986037548,27.870246811754644,25.045618189744843,30.43965454678544,28.623154506938064,31.03639289828889,28.945107325816622,28.764915477555654,32.16861847098737,33.653438449726096,30.14737654918733,29.667357549489626,26.475358500288184,30.565716981743428,27.50810198196297,31.171487958107576,32.759544186715374,30.965865403061855,32.841187139226896,32.60474518337636,34.568786952709516,36.717071497596464,33.46524938045033,36.3535592115331,36.20176492833738,34.89588317659851,39.38431176056073,37.966945453007206,34.17366499541835,36.90933627993574,40.186417007273675,36.61806794894329,34.553931392769215,39.348243479925834,41.160949261369176,36.41086479866381,38.2388747956704,41.68144139187289,39.10603556142057,36.90969918560832,41.2329535066081,40.29202793510168,45.54330615821762,44.34866991202912,43.90323220578907,47.38766017925759,50.87245264483888,54.677286152536944,55.364821749255945,55.38408719072339,52.38728163698761,53.38462905222858,49.58931983213938,52.803389059326925,53.14970204658601,46.898862481620114,47.606676975024065,51.147498686003615,48.092295820401326,44.669822718051385,46.2117458369501,47.81311068226491,44.43890549673048,40.812122837640075,39.945374609587425,39.672932927179176,43.26315320681261,44.237239678669106,44.96651696400888,48.59224785463842,44.50175212419574,41.74181439098938,45.74467260689852,45.16143865710926,40.31045844756391,41.53562957516972,44.133679178054386,42.19772401360695,40.477744488060075,45.5319878750283,46.09427985832298,42.442849073346636,44.78332494569597,48.55392739033174,47.27352830121366,48.89341111009499,46.4528262036381,49.89720669296808,50.23049330350263,44.50916287409727,46.37691583524162,48.986529408885865,46.578671172793406,43.39345463942887,48.912118658938134,49.176796123398546,43.81156787854233,44.099151652608214,49.260639654648934,48.49212854223619,44.555367746677966,40.73604054984069,44.44913744333227,41.16062029584929,43.411577759038465,38.201050473031806,37.5473817661742,34.08276481001873,33.471635920481894,33.5777428890065,35.73000575003426,34.726003466212006,36.2058934465511,31.057605973515983,31.877424086266622,27.231852959847924,29.77691336288763,32.19509038916241,35.48444230129409,33.88151575403125,29.614459011775025,32.919557926443034,34.07378871649536,28.580950877346602,30.083176695813247,34.83730097908142,36.384037460056696,37.47552032890545,38.402475385849186,39.81679377144567],[36.063330255179636,34.27483716531938,32.905946624932,28.20227170777554,27.075559925373398,26.61372930695294,23.623070550430345,25.56277709802282,22.645643183144276,18.613759533273612,19.0854067486936,22.93098032237643,19.227550956011275,15.6330569075419,17.807773433014205,19.291780481223995,15.84234989854835,16.075444086455295,14.238169129167632,18.135672380287136,18.882925901072365,23.058179455433933,22.175806796271814,21.270627110545977,19.789647442949143,15.993226198102375,17.313847398322466,15.801545884607211,17.94994999051081,20.776992800739123,20.937568803164147,24.47111917141498,27.301996516480017,28.030069517201312,26.189802402160662,22.67497193097097,25.13150199641034,22.576787233773604,22.393419495817973,28.196927283454688,23.47938077423124,22.31374585303325,26.422149529576654,26.174029736964805,26.454463462365357,26.53397860886913,30.242345256471623,29.851371371123154,27.691312920493033,32.493959182946824,34.293146024229635,34.75972713959372,36.02014607414046,31.53335848921086,36.096000857215444,36.33566882141948,31.760188470101028,31.733532513681368,35.76532638726474,34.03007106938493,29.851927482309293,30.592179333801173,29.218356009313855,28.68810994277605,26.737733033823755,24.706541357748822,20.029237061797474,19.10441929025092,14.814801324887517,15.185173457555624,12.700872704260833,14.167603689173719,17.22553967194572,18.83892782082916,20.64477344317691,26.095605586512374,25.762426286144038,29.81399558820287,29.47072937224118,30.3516725103713,31.176965677288464,31.334999499597618,31.874700823337978,32.794366994589964,28.942841228417848,27.400758369152737,26.223610039369824,28.67016545675815,25.03356058162063,29.05898557500014,25.444840122143642,27.338237180058556,25.524558198258795,25.966652334249247,22.705798307304452,23.684900056763034,20.968172899623454,25.103609537373423,25.448107757954872,30.398279320854932,28.466747913389742,31.53873539221922,29.61661846746501,31.707072002465736,33.88320940672952,31.958641117860836,36.35730668330355,36.01542697781445,34.32424955362076,33.02600643659763,30.077321203008182,26.31175502890024,23.46732837599081,20.569608605470453,16.8795195737274,14.95436074804581,13.620124726327536,12.366062217640334,11.147237916131019,12.126841636935042,10.024643054271108,11.624588159152662,11.865628043667172,14.71805370930164,18.052707576930324,20.221420492985892,25.614732497099247,25.686927013847153,29.205807080157534,30.946465485931768,32.59893500297739,36.29406607820367,34.4078696611674,34.08429116329763,30.187148283028403,26.305708495064696,27.61603612107095,22.755898074089654,19.24124377586884,18.548516903676145,16.214531958226942,17.55492286748293,15.992370392145666,16.827536674074366,19.148169153483956,18.804416753515255,18.084894921290854,20.16347993981793,23.16584384507143,23.266316928137165,27.676468168424645,27.766379251181224,32.572408869697185,33.78721730491692,31.07282588893858,30.230276680621234,26.485985996792106,28.62585744270332,25.284995738836848,27.448634746627153,24.495437727779493,23.001764442458672,21.069790116293714,24.24914925273322,25.656658651723124,23.86086385257052,28.366489399500928,29.424043641421953,29.85121635851352,26.05733750851784,27.201117248552674,24.05063788977545,26.263337541352318,27.359019942909626,27.587791994272973,29.858329821462608,26.902610944180587,32.14357498062918,30.39010221366229,32.90489097615415,30.903966765164544,30.981030829494948,34.27734383983363,35.6768291324849,32.216171859170665,31.47115934227232,28.146497216403528,32.099923395320324,29.048374400600665,32.84095693000562,34.51311239466699,32.87054364058036,34.85822990157581,34.75096601889525,36.77301942820644,38.968091161630625,35.82472180062152,38.74143689213834,38.64736524220927,37.37512200187442,41.84137695244859,40.43334137964456,36.68132213703087,39.39188385001714,42.646282461940196,39.09046923538755,37.02822800794592,41.78767011566976,43.57681856054243,38.82558777778467,40.62209532527582,44.038879364928306,41.438861627611494,39.22122322069944,43.51259680848116,42.60346456387504,47.8480812669796,46.65418645099254,46.27369090328938,49.74588777671697,53.24154088824867,56.9627632634648,57.716909580355384,57.77516359333445,54.78648323384462,55.76703083797369,51.97732378640913,55.17342064304375,55.5264082023844,49.30629496898718,49.99104471680322,53.50125922468381,50.46202516599055,47.05121623324076,48.53868841660973,50.12620350014878,46.777890753965515,43.146533042972386,42.366642228270614,42.076611005034,45.65643256851155,46.648060971262254,47.33809109011939,50.93498842270578,46.8270444283525,44.14149096919617,48.130360759489804,47.4913279652227,42.687516336486134,43.95107723180686,46.48759458361983,44.52721983493442,42.86169289111084,47.891148691187155,48.39542455935523,44.739817943614845,47.11758363373594,50.88089515230006,49.64143454239928,51.27660670889927,48.85942802313983,52.29942951753527,52.622959082480136,46.92918265355536,48.79909154443478,51.38697136753489,48.975942767290086,45.813605202404695,51.2975673857715,51.53131628066472,46.17742840351229,46.46423164539237,51.58653922994121,50.781027845297075,46.846833794428434,43.040341709863014,46.652989986245174,43.33625237754633,45.64361947529845,40.46105838570866,39.91258537507416,36.46759734793366,35.76505214925096,35.918150451788506,38.01447900446234,37.0748674223554,38.62852797633545,33.568817708757564,34.395405212801805,29.836546121906114,32.31796110906942,34.68127514312594,37.93635260650921,36.26350665441448,32.069943922039926,35.38077950129803,36.450296907299375,30.973420643551748,32.51757782899225,37.21466592716292,38.70923800398908,39.781383328634845,40.74193502992246,42.14266365464944]],"stdvs":[[0.7638029738483008,0.8730284806741234,1.021405978757124,0.6578020300312618,0.7355407829306295,0.6449360644965052,0.6968388804682246,0.7597461804743827,0.8986028426211661,1.1024086166393194,1.1979861834331458,1.1303796783380107,1.2576827116807416,1.3241287563398108,1.4296457339899264,1.431258777892221,1.5919378536201718,1.688568287515777,1.792975075316705,1.7573289223699142,1.8189854917878732,1.6592793241462718,1.894963681528227,1.9773538152587569,1.9861096874143656,1.8728132169899447,1.7346756164940293,1.6537320134380842,1.5685420167707835,1.380856257970129,1.555421351823104,1.293210063751088,1.3116956012764907,1.4158471870203218,1.370776031619671,1.4898355118334428,1.2982569233543044,1.4593938587066242,1.4145354558861585,1.1657831777801908,1.3997181862551624,1.56664751102461,1.519491518024145,1.5397738156993273,1.9544241894123708,2.389968426083849,2.3756179651423954,1.6616622141707362,1.7160536914895568,1.7703279884895917,1.5661915832939886,1.8432448663512335,1.370292321896536,1.3445601789151256,1.5055387302380518,1.3752081380378578,1.5331393885244424,1.591358176246359,1.5300762423964003,1.8781655559851467,1.8528704722515075,1.7117265604563596,1.6651737703763063,1.8610519406219608,1.8890468549780222,1.6846903106587452,1.854583003549844,1.7599466785605278,1.867083748320843,1.7940176606252445,1.846719755829968,2.0035285668164864,1.822034098816405,1.9423579937916327,1.7366319215690185,1.9134458881827403,1.6945123759594465,1.603076034689198,1.528935754048199,1.4773046453446457,1.2386265405887589,1.1132908290055663,1.1605664833066678,1.0337954759588819,1.059255474988937,1.1875642717315427,1.3361897160924647,1.2885896805896144,1.4999862644176107,1.4506133176352467,1.6212360415218223,1.7270975660649768,1.6674809053256716,1.4611580831905477,1.4397625649004426,1.4685198497050502,1.4981893452536077,1.3431349084917363,1.2433962417612536,1.0535861104639166,1.1014694603391866,0.9259694878017818,0.9710205934082471,0.7797892721238204,1.0075809251584087,0.7761170660798331,0.7979757847438284,0.8531593082535569,0.8737912041599775,0.7512556174155066,0.7189010298469015,0.6945620950230622,0.8070742731176298,0.98803770693429,1.3451238417387141,1.4836637023928754,1.623081585003205,1.750026388165638,1.8391565632306668,1.6967062633560008,1.7468298925791539,1.618118616017659,1.5305508479705392,1.2562383813524942,0.9828560613659895,0.8154542978049232,0.7991649594284109,0.7134057793776977,0.8294764799080554,0.7347867750355033,0.9865335905134804,0.9149849554405589,0.8631643470752868,0.7420732542297884,0.7458920192840153,0.727145019579327,0.9707910896446429,0.664740361749307,1.1499470242835237,1.475299502170524,1.7183093325329504,1.8508681789324444,1.7551246195922463,1.6869696934343783,1.546823954744916,1.4622560755620413,1.4224095137834372,1.198608317938404,0.9554562416328809,0.9437249547464902,0.8121125020001994,0.8186328125410692,0.9510228134429549,1.0152472164230526,0.9931816106193073,0.9004418772466328,0.9849159059950321,0.8500774847010162,0.9971554800527851,0.8002686079048413,0.8804988067755676,1.2034719352150378,1.3249570050506814,1.210660039050888,1.2360007874067533,1.2588063044451763,0.8500906853613582,1.0537153848876566,0.77570139679017,0.6111812776504952,0.5778785043180983,0.7509766853105615,0.7875862692741462,0.8324434977993304,0.8979031172053951,0.8439099863207501,1.0173476103574384,0.9497692268305958,0.9832370245988606,0.8570486865291427,1.1603753186415147,0.7193479010953332,0.710109426392481,0.7596640677340839,0.7655167848450265,0.9130853643209251,1.0702584463722382,1.1627849180855017,1.533960954424427,1.0832181278079334,1.3251789142220993,1.0236234668555644,0.9725725387279559,0.9722933608464961,0.978427565366933,1.2411907237184978,1.332513688526528,1.3304890429714613,1.4399047197559711,1.1906916586222356,1.3260288299767458,1.0993723304409673,1.0808987425234755,1.3621943311118303,1.2837209835739396,1.108724004241139,1.3453311660222744,1.4273970349466492,1.1924249162459728,1.1241013473322838,1.3692195806872198,1.3280568905151664,1.126045950566784,1.2932424110767746,1.4693421437153038,1.6777336473189277,1.566863942666578,1.802200655007514,1.6680872775196918,1.640393574610703,1.7583251827336226,2.1975091720907174,2.1052320034774676,1.4538867104491722,1.4686727201479395,1.4664833587596597,1.369409013253866,1.5667753978356314,1.5615929729874183,1.5429553125386022,1.4607931023770802,1.682109053716518,1.6566326532187416,1.5846203745156584,1.784684675495048,1.9472428683079936,1.916592062746407,1.8251126154908597,1.566144165157394,1.3472080226047058,1.3058838499618186,1.2841097522011786,1.2591978387261769,1.1886044428223803,1.186050368861006,1.1482110040720093,1.1919527517197819,1.0211380788638624,0.9728596362680975,1.0397589850456717,0.9930746382742033,0.9241710233838413,1.0211297756798026,1.1625377296527888,1.0482304853545026,1.144506912207774,1.2025610908016104,1.2423193422912713,1.3296107670358557,1.2980755599621923,1.254892607184238,1.3828235855902595,1.4536393059726422,1.41631881154172,1.444010850253102,1.5870206279318333,1.6144395093534178,1.6036371283025457,1.759252005211009,1.9047042956559306,1.807157685803984,1.814248674261563,1.9000632860731048,2.033059423964363,2.0310586422728334,1.9706929224107144,2.4014650264443684,2.369823675471147,1.9850890981786549,1.9359763565236396,1.6878715718633084,1.4583481648182897,1.9348819489503835,1.8394180469900732,2.0161838842539512,1.8238170236885771,1.6088467058284144,1.3609475015649257,1.2624343803866531,0.9085371481509136,0.9384985096141654,0.8359440384193668,0.9024243840885706,1.0315914594739457,0.8040144340677432,1.0126522082018916,0.8559983461263988,0.8871126361705001,0.7755280806630864,1.0139479434285656,1.0836381574417693,2.342730964357042,3.273723740005924,3.3911869136912522],[0.6089390458677335,0.6765813220438732,0.7728749325570493,0.5243173661377722,0.574530381558357,0.5570587756830921,0.5003130298855208,0.530138439718723,0.5627926838552499,0.5926934345262889,0.6247103583631365,0.5863602745376425,0.6203089279430348,0.6760392917033142,0.7140925528299427,0.6904774520528657,0.7495029818483299,0.7607319719869452,0.8198958984423966,0.764132812253922,0.8359843924582303,0.7785459549077355,1.1533695082560833,1.227849948587045,1.2679333649474014,0.8959458414679703,0.7343101463216801,0.6863365417212691,0.6702092981954622,0.6114354950650938,0.7190488450169891,0.5759354189037555,0.6084927172057799,0.6083614848430778,0.5870006762321096,0.6294188661451284,0.587096246039169,0.6192651963289684,0.5629763549935889,0.5925850206547802,0.6244977420109531,0.6733575239155852,0.6823421083511712,0.8680345707994106,1.424103138759597,2.0244400378734535,2.0682514927522875,1.1970034933839118,1.3414575223811875,1.5429554222366075,1.2926555031907103,1.6278533997735245,1.1153760844109109,0.9717129011856775,1.1579157381941771,0.8966938923279246,0.9243900840351007,0.9392149997114484,0.8735551505229561,1.3179727863966297,1.0739158712327281,0.8534574235711262,0.7683641540299295,0.9107419823690855,0.9284518144874991,0.7412879611678527,0.9134062624829608,0.7818018129131014,0.9493274184063284,0.9108742032253327,1.043319328930992,1.2838588953953582,0.9430085368020404,1.0221687570871603,0.8246558678705914,1.046877985508538,0.7413788216785412,0.6798440542975505,0.6456281776502147,0.6894592503017026,0.5867725612115016,0.6198234404531794,0.8652566202010964,0.8526715349369655,0.7021932903470849,0.5647375663556327,0.5776813246786044,0.6026905521079647,0.6098446535309872,0.6482532321212172,0.708240829884429,0.9031988159624609,0.8250967958031072,0.6620620238722512,0.6785175772047233,0.7635228582866265,0.8751336045639384,0.6689191507692807,0.6552544775965227,0.5875444401468058,0.5457019032175288,0.6292848123358947,0.5772500146588624,0.6435191111510502,1.0838197607204187,0.7902752986432033,0.8586765023951737,0.8692468276835226,0.8248843154409622,0.7652399513046256,0.6507783884551956,0.5423041350910557,0.4963397484068346,0.5168001489121012,0.7230012856240715,0.7962764419725269,0.7812342979950091,0.8428722386069861,0.8933915319835086,0.8158523164131203,0.9260174332992545,0.9016679439576886,0.9283740772565222,0.7498950754971228,0.612823451002353,0.48881284891941046,0.7361519444375976,0.6033468701029437,0.7701776931998526,0.7614142827288632,0.8988191616914768,0.8917530198645364,0.8443359642626865,0.7902793861732069,0.7833267999530911,0.7031367397331578,0.8931145103827065,0.43209474610152854,0.6966579387381671,0.6102763524312061,0.7687095130534138,0.9027034953094275,0.7167513424001021,0.6743839197233866,0.5816212369713595,0.5586798297704896,0.5688224108291792,0.5388237285982521,0.5049554646146036,0.5419110645998032,0.5301011998820507,0.5318894170414156,0.7032782243957331,0.8457301653667332,0.7370686405977878,0.5527896860796441,0.5499115483485714,0.5483873454490273,0.5372204288306575,0.5882674807668744,0.5351968464418088,0.5011275812787531,0.5430006303949145,0.5385644728286983,0.6535676292945078,0.77444042428078,0.7487172738758777,1.0080072649557306,0.7986347154226889,0.815801978340546,0.7035740829651278,0.6412838417302021,0.6471911080127201,0.6163700029371736,0.5561675796189731,0.5616567585220276,0.5261513593669758,0.5567735782235692,0.622038395807933,0.6027361137791865,0.8215448874158019,0.7061308767084572,0.7874011444745417,0.765102449176439,0.7842372226157609,0.7130740324746624,0.6857831951317905,0.8978541429941038,1.2643243259690966,1.0416229696191017,1.2547817462239559,0.9475979416547993,0.9890152861858275,0.9737518614994541,0.8903464220651699,1.026804415282637,1.0329695774257648,1.047164631021631,1.0451011521162759,1.0072350335657383,0.9848605139008901,0.8722276702279804,0.8286330062345463,0.9116808425643427,0.8774702444360456,0.781143038201837,0.8952876348808738,0.9395546911850413,0.8047306077492781,0.7716980272816316,0.9383890354241295,0.8958891183595145,0.7996792257465268,0.9654636550988638,1.0749535186482773,1.2140351219912418,1.089232064119923,1.1776759703934383,1.0719581420125357,1.0667016654836343,1.1363632838680384,1.7195826382962038,1.5339239871264934,1.05923604429406,0.9746660269469862,1.0527531728332575,1.0544837469700692,1.2193010258439823,1.1117807904760226,1.0986631154235798,1.1156479783589603,1.2542011889727507,1.1120246448300257,1.1119545698721316,1.4327233041353575,1.3654474428658383,1.2772636653842055,1.4284737934794225,1.0924592705502096,1.1437162242259862,1.1057655340161414,1.0511779112990631,1.1415116720081937,1.1097893287304446,1.1913677940979785,1.0675969432782964,1.0396215124012425,0.9738037470606369,0.923135975345687,0.8030604946905373,0.7829639954747398,0.7642438317616601,0.7660013202394748,0.8437774480822268,0.780814770796801,0.9153588276337487,0.842740019855303,0.8596870695993215,0.8927082942599864,0.8808379579716,0.8750798622868926,0.9422104577667069,0.9464232252643258,0.9214096223486273,0.9666310719017189,1.0172654293636978,1.0199379569599858,1.0193754052903201,1.1578540076206854,1.240384039530405,1.1290156160088214,1.1552666341235582,1.2315296926732233,1.3567554496347258,1.325469859455783,1.265574183012015,1.7231896825299633,1.7639737224274787,1.3475367643723393,1.3640678057393785,1.1271386624272957,1.040027756440208,1.4978871995661307,1.2913987524339134,1.341292838932985,1.1157235570431163,0.9920198995317173,0.9052751824975042,0.9169478990551099,0.737022551549641,0.7005158295477751,0.6842498494131823,0.7101462076678595,0.8701042635009322,0.718354838372547,0.8111051381912825,0.7086796619985385,0.8090676969512297,0.6043339149347441,0.8617897858641764,0.8632924296544897,2.074638180659312,2.885356571343353,3.0331907151290913],[0.8247146612581595,0.8277750097960219,0.7441015273336448,0.7436103609054501,0.6700998693754212,0.5897734883958919,0.5040643093322867,0.5118959366961732,0.4630235940491459,0.44049411152331364,0.46395716536926424,0.5139766156536119,0.521748124690286,0.5206962161228241,0.5683458095239229,0.5697968328973961,0.5533050997720139,0.6025859958063577,0.7552430254808514,0.7300067090417243,0.8420127004583463,0.9503158444013468,1.277523521286646,1.2875561775111215,1.388553345551745,0.9183431722969184,0.7832971509210362,0.7026080945511667,0.6267659008966993,0.610287297115234,0.5845931720395124,0.639417835747147,0.6663017555309682,0.6578416376788889,0.6711317857580485,0.6722091019806387,0.6640684248493633,0.7097623238070456,0.7182325800344724,0.7927857001385001,0.8653059504766167,0.8342824715675342,0.8090782023716534,1.0336088429955008,1.5206982516614507,2.0799595307940186,2.1656409208789,1.3636951654987344,1.4597854042591707,1.6060314767445645,1.3727478734904535,1.6769017587747637,1.2446267746718815,1.097891554583322,1.1937572894791755,0.9728845099356451,0.9647062729175723,0.9871983748428697,0.8669070350944841,1.409460402406859,0.8699353820152796,0.8157708674815101,0.7733175245108437,0.838026828632442,0.839386658504986,0.7943740316476723,0.8683890525542801,0.6722432425730172,0.7476239385007888,0.6818593934529202,0.8202187477570295,1.0605578882664661,0.7421139989285929,0.8389503005802226,0.7221800841584973,1.0423628584803137,0.7211648389612751,0.6846708674043891,0.696315520020538,0.7798840616111593,0.7506355295700369,0.827572333536593,1.0185317485812992,0.9203692447471981,0.9224986724716215,0.7198355700446133,0.7548309739191075,0.727494814240655,0.7141109065135978,0.7254719828968479,0.6582886903140154,0.8354508622894274,0.6833706381631189,0.6006879292444445,0.5918284610667205,0.594369559285031,0.746562453087873,0.5603398222598663,0.5347905694650057,0.5369316360079879,0.5650161291364865,0.6728487413987889,0.6550958001076019,0.6451319735423638,1.0287311269571515,0.6921670970390897,0.7911857498430294,0.8552797854707952,0.7820624502694524,0.7368648314759808,0.624592249256444,0.5457207197445797,0.4760911381800745,0.45953614291198736,0.5356373693185962,0.6143844246323051,0.7275644277706567,0.7581753387343755,0.8378373850861397,0.6768093384446663,0.6742935656425812,0.6256593173913537,0.6056972719263458,0.5378542861716716,0.41757186849599404,0.40867017219735924,0.6870223730538493,0.6128048542408292,0.6996996281765829,0.7049454558473327,0.872667864203041,0.8888832742003308,0.7639591733208289,0.6685484608035777,0.6630054962380539,0.7270759781707115,0.7939606162937717,0.6651002000786458,0.5074250894901713,0.6217634010379952,0.9069969888679704,0.9638411127961787,0.8155426524040656,0.733256647696263,0.7190990706822888,0.6456860782048977,0.6118767502358657,0.593658639629688,0.5530559856256841,0.49838743074575576,0.515256806483444,0.506756724450094,0.6619192630586643,0.9013251852855467,0.7437948718038234,0.5346959269389492,0.5073747741940808,0.5468713758109738,0.5932204712645388,0.6151264301545504,0.6322975247435574,0.6153735878365159,0.6563541440396018,0.6774753725619725,0.6841290287215522,0.7896580030895124,0.7484921172285085,1.049280721925974,1.0699081148154859,0.9408246007116124,0.7291520909795479,0.7051977307168331,0.7298480800359516,0.6743486258046292,0.6564113331110296,0.6330476431401363,0.662179976225713,0.6264875790479661,0.7028597966914625,0.6409485529126736,0.787194885009172,0.6464011028240448,0.6678527549697878,0.6793578378896353,0.7219298165792849,0.7500700011571673,0.8297952730937241,0.9439876872054968,1.313027699699511,1.0640891920327655,1.2155466575835459,0.8936120685793528,0.9856847098375229,0.999104327911595,0.9128172062949146,1.1000130104141668,1.0646618224750755,1.0521006311882644,1.0000678598923354,1.097690107803163,0.9335684838183738,0.8660998798745374,0.817463882650727,0.8125003692342025,0.7900107020458276,0.7605789630455568,0.7468309380145591,0.7578175177574281,0.7463345927040897,0.7465134786576872,0.7914175721923097,0.7721018941363323,0.773878513334748,0.8629230980044772,0.991293499560419,0.9742109159916922,0.9215090228298475,0.8932711980453226,0.8181043676202628,0.8272337746670984,0.8278917197335428,1.2469231670435883,1.1115355877384983,1.3581983486069218,0.9061160210654629,0.895245512303825,0.9790825190231319,1.0849320437803749,0.9952219581319122,0.9187859007790992,1.0325072405817213,1.1342744472592787,1.0195606009489708,1.0068875918868698,1.3178830318313186,1.1648374768633858,1.041372733292047,1.402985033412087,0.9984412513727422,1.0927805630508818,1.0813461224144694,1.027124158472687,1.1597138461754213,1.090974379561977,1.1732754769806029,1.0736511142812357,0.9952286750639486,0.9872879918227614,0.9871317629430675,0.8364424749474838,0.8087861696849358,0.8293957568861993,0.7930481355723096,0.8207291094555029,0.7995117241595757,0.9095569234976193,0.8030644310165247,0.7917039364213816,0.7759988187108211,0.7929080278102543,0.814510221245685,0.8324575566286033,0.7881862774485511,0.7622762260879637,0.8464363111936019,0.8268691059180852,0.8308741370761427,0.8412324783251199,0.9191271453784652,0.9811784895636841,0.8794757668001245,0.9199051700958265,1.0056587159705064,1.1698426370492865,1.0799788461293616,0.981839238506928,1.4122017499829194,1.5132983745961435,1.0294720293223034,1.0556709229390442,0.8787191111252786,0.8508112638896056,1.1745569292075422,0.9539216763518235,0.9220300658480536,1.0297192025061408,0.8874043426688668,0.8182259957907819,0.8656823632101555,0.7475694369800842,0.7144628315136154,0.7834615028458503,0.7752453509818755,1.0333623263564624,0.9157267482289234,0.7039176825405742,0.7685754797590347,0.9900972797678556,0.7093958427881645,0.8397852585176814,0.8538252507546172,1.8295179506499706,2.4997329950565876,2.7692692205364633],[0.4747778992654255,0.4987585505203041,0.5732544373957174,0.4762716229204146,0.41604188128215996,0.48011876805654174,0.4829952170422144,0.4851422595306243,0.5233524973093654,0.5179698940706687,0.5337709573267825,0.5756986410353514,0.5046437916812075,0.49943446913431305,0.502449406347054,0.5253802309164243,0.52180785000608,0.47876188797951463,0.4965605119385357,0.42072853503520896,0.4244882138622023,0.49938930127193676,0.8208408928052312,0.8681731202204144,0.9452803127458517,0.47716111849480486,0.32058052123324887,0.3679517660576923,0.4232520114620564,0.40405132749664996,0.5125278081406522,0.43784409948504244,0.5107834639202355,0.44780994482444525,0.4223907475771654,0.41871760085728005,0.426635690825955,0.4167871232815152,0.33802323318909255,0.364440718601133,0.4417012357806776,0.33845778767641077,0.3144212564545156,0.6256314039553542,1.2088424910256368,1.9128302726590252,1.8497627522373623,0.9853381870516982,1.2720539920360965,1.3420564834215898,1.0293770326265768,1.4072342688538955,0.8653335864758688,0.7468051129695016,1.044009515390469,0.5989850480543257,0.7260898640340399,0.640189528401958,0.5816582977419983,1.148615783020184,0.7706670984129758,0.5178523655577637,0.5021786425144689,0.5180704430969341,0.5679249993957514,0.41030526265658857,0.5816588678698441,0.47050727032692113,0.6398466175886066,0.6539714207876255,0.8025061819184114,1.0072638297504457,0.7444152912220346,0.6915024703372672,0.5682363098546914,0.7927953927508024,0.461364533999445,0.44872954824533157,0.4263057339815826,0.4552203028649741,0.38621359914381753,0.4484517593394842,0.8042187537227307,0.5320451051125127,0.5233020871668114,0.3706173451327877,0.34790862323486577,0.44875490519060707,0.3821934260600247,0.4835697825142266,0.4934755644309452,0.6603374996610843,0.5922142230628781,0.4785109979197474,0.5094591388029885,0.5835283475041628,0.6873534720666001,0.5346907248388607,0.5464037923744282,0.5707250735235622,0.45991572710554784,0.5438186455740508,0.39853668038847595,0.436881901408976,0.8087061598365184,0.5276215167397781,0.6035609242518197,0.5940965863496321,0.5178480596211128,0.5678986542558856,0.4140024880303767,0.3642595843357441,0.4373289020812023,0.42995946848411015,0.5419549438205665,0.5170396876826536,0.5269272748446829,0.4339680130745348,0.5042935806764245,0.5013839476435267,0.5688662071110112,0.6454194377897817,0.624678539795603,0.5706155981476583,0.5707829171356603,0.4768903111784042,0.6084210987590016,0.4254998038613495,0.4781459830369619,0.44491260186266424,0.5964719678361791,0.5863438689135114,0.4956553180341875,0.4543926990231119,0.39390829812467093,0.4887083896219173,0.5228358186741062,0.3630293255479934,0.2729993512896062,0.24370657069117344,0.34747921723926,0.5057291476290757,0.3258447803742576,0.32101786802883053,0.2738055790616377,0.357746286885836,0.397169944432891,0.4008606692130857,0.3574954896322909,0.4454967721484911,0.4742024024900682,0.4608461929973682,0.6279783609084997,0.9163897943780404,0.693984751051175,0.46158629267476786,0.46067900298491876,0.4206881078711716,0.40306541237255805,0.3831767313333698,0.33217260883144945,0.33114069499685467,0.27634160545443875,0.2808477733113391,0.37183418245027944,0.5289166768074367,0.5087132819127288,0.8138914683514372,0.9120750186687476,0.8914439662803296,0.5829683039416441,0.3486855073137638,0.45410402094522284,0.3906566749131897,0.33907391386030594,0.3689919975518331,0.38038661557667297,0.4610131745579094,0.41523642572479263,0.42598507685800807,0.7014923792850193,0.37613279614828504,0.417371158653292,0.4753478847964935,0.481824416286914,0.45577101506007356,0.4489009379047606,0.7230738501220197,1.169916108650155,0.9077869963037977,1.026766740154373,0.7255119341483427,0.7797001510060553,0.7655694365838427,0.6348536686036458,0.7600063192758092,0.758324241863639,0.7370418564957782,0.7190974097419155,0.779263432547492,0.6066927406527332,0.5335402444356699,0.48792094739304953,0.500327712707572,0.46330858674076386,0.4558951830244031,0.54264629726634,0.5215993695201492,0.44394874080244145,0.4897053882237354,0.5940340404560462,0.5328054934221155,0.5397526803672724,0.7147178153718193,0.8106428880269839,0.9042463348401066,0.8070601711486848,0.7507737420304168,0.6437594985333039,0.6484332910143235,0.6629971687353167,1.5359572783292377,1.0872247295154347,1.1016504997336078,0.6212408455335678,0.6678773945708432,0.7183998059234025,0.8577482105463106,0.7178462605511707,0.6919381765567493,0.774168849799411,0.8874923188614746,0.7547427567804571,0.7395000851564094,1.1221819055078048,0.9531699166359601,0.8955857331698133,1.1817502103645297,0.7452050038208007,0.8079610676385055,0.8124006940720162,0.7549317212636578,0.879585594607885,0.8421863993731086,0.9288013046066081,0.7910075225889666,0.7135612315579412,0.7087729283515691,0.689980589674081,0.5045276522275354,0.5145775191439557,0.5610368384977978,0.49945215338118787,0.5239297264696441,0.522122341003232,0.7483145734385475,0.5296379075714808,0.5119891962540045,0.49295917872878936,0.477508638632036,0.48065146719653973,0.5388102404143392,0.5077333547375101,0.48811837703795136,0.5300966304558169,0.5528260030896772,0.560328288490737,0.5637242265187368,0.6773853296739226,0.7926995180154912,0.6888694669213553,0.7143783700834199,0.7753678712644259,0.9287961991669509,0.9056213367643783,0.8608549220489753,1.246761950986241,1.4884009891556809,0.9232409913763698,0.9451685316379143,0.7417242802991512,0.7251550382591898,1.182885264599538,0.9037685889156638,0.858348453923691,0.7740615676128342,0.5927657884622621,0.5469892334531222,0.5731159029984333,0.4412565061235559,0.39247953918630835,0.4561952015807397,0.4594903214400507,0.8409391907789684,0.6402797242184932,0.5691998351547726,0.5495284057210901,0.8100295176616923,0.4758674766191735,0.6744666380098719,0.805472587906501,2.031492309956719,2.8306347234329436,2.983433556668749],[0.5230203358913054,0.5314367462441958,0.4841809539203023,0.4880755234456343,0.3755677812723846,0.39631688286183014,0.3272799222867512,0.3346229234748838,0.3662707985185374,0.35110156765563266,0.3717849264300022,0.43711200339365897,0.39918720585076456,0.4261776021254288,0.46078106083953296,0.4501430606342899,0.41977726302532553,0.4330412021201442,0.5648687454645583,0.5042159262947509,0.571178704096946,0.6911069780646946,0.9450111583154744,0.9661059760687783,1.1391201465175607,0.6899213826764791,0.5361650186309741,0.49313797192461856,0.44444558375724036,0.41993082242076685,0.44165966543615376,0.48041617890146887,0.4953999554222031,0.47368509462840885,0.48708379124907913,0.48143057551632984,0.48562511716886386,0.48795612696878693,0.48508700641585084,0.5382815987674032,0.6434657077229292,0.5858760457041643,0.545430902806123,0.8172055696689905,1.361741918974493,1.9991335115178959,2.0163497254976894,1.1561536646902035,1.3659996624881567,1.4488974770934533,1.1298856470354848,1.5430589008301299,1.016677069278545,0.8963178190368339,1.069418391690233,0.7307389652894687,0.8166165734619862,0.7583962643354214,0.6586761889700523,1.2420544136183636,0.74200222512532,0.5972843672416833,0.5721485069386839,0.6166371229290778,0.6200657048091733,0.5394238874923972,0.6250220186748627,0.4513588294451419,0.5777541950028601,0.5349915957997996,0.7179380991489878,0.9414364581568581,0.6335748658131097,0.6752783763681758,0.5371341283029111,0.9549355983103613,0.5020808175063016,0.4729075672613267,0.4982157039843228,0.5753548319269993,0.541535823742265,0.6110062621628617,0.9148172710760667,0.6206781822388421,0.7227040725681477,0.5216771050309335,0.5351996029065371,0.5376061038894766,0.4898358232002768,0.5356649158991605,0.45974153556418157,0.691678222138681,0.5342983505877154,0.4718451645270396,0.4746567713653492,0.49099126563864676,0.6422981675298378,0.42974156011963266,0.41092352830893386,0.47062718969006817,0.41620131626567924,0.5399568246487809,0.4536397068215162,0.4367906254587879,0.7173068697015405,0.4624266208423947,0.5747015362094104,0.5370167444044863,0.4705784773323039,0.5819023259451608,0.39013239744895617,0.3640463056338546,0.3066706093792638,0.3489615363620817,0.406563277587614,0.44529488573435055,0.5864220210074582,0.5412587691100396,0.6149293521637433,0.48809892645252134,0.493554692445936,0.4737115861810444,0.45953106022532125,0.4275144956787232,0.3530792146544186,0.33680471847935606,0.5205033711873415,0.36733687048208574,0.4058076037755057,0.40776409199657393,0.5719725974261485,0.5606433692093182,0.485098244263604,0.4142652957764528,0.4040224679385239,0.5442418457902335,0.60470583195831,0.4816396752266027,0.4309454571158282,0.41303966111817064,0.6207887271010866,0.6726842839149431,0.5797744370449897,0.5157329721437591,0.48181771784132554,0.478302152909675,0.456576316735385,0.4596751613053482,0.35448548867415286,0.3477786777601119,0.3956125576518487,0.3749462125611304,0.5354366105098184,0.9617622726372896,0.7557434954767894,0.4255950856926249,0.3746553579045874,0.369008716210194,0.41548831720066715,0.4176945280616153,0.42016561050958895,0.42370123991597625,0.4216217227029118,0.43937406733535045,0.4610531752791486,0.6304371433706092,0.6086431990893363,0.9720028047102093,1.0806753822828643,0.976412342003941,0.6510001354405223,0.439573010992611,0.5255468709887617,0.46416625038954584,0.42122737526514725,0.4188407169437275,0.477284570949627,0.5140866642552334,0.48607415971640894,0.4562987471829097,0.7104282904328311,0.3767750871286743,0.3957828233858177,0.47849008550707234,0.5140097393187675,0.5283168108904757,0.570249274619391,0.7824321873789979,1.20733442159139,0.9195180236591731,1.1198871196797828,0.8152966450154333,0.8523131647648297,0.8221525119893185,0.676637992245764,0.8115699702547441,0.798006208068125,0.7370619120511817,0.7070871068337374,0.8556170764341456,0.6162629079323685,0.5674363410807064,0.5519914744111002,0.5080913080803808,0.4824918068464566,0.5032834586533786,0.5101539877957143,0.47453942488294015,0.4976968820466397,0.5312758975602772,0.5793168107905419,0.5655790302324929,0.6244734631888289,0.71978801464274,0.8538939452232628,0.823674659598046,0.8145490964305843,0.6684300333006954,0.5722999307267472,0.5843978404135441,0.5817090707642488,1.2218872915067582,0.9137172232681595,1.3926334971182723,0.6644173674321547,0.5908320060643791,0.6813674189657561,0.7325795320538128,0.6359991675931904,0.5892635643417228,0.7356875096773954,0.8428318446168002,0.7841786602791069,0.7580992595945734,1.0796527567945446,0.923033156874708,0.8509391539305554,1.2443091395174735,0.7449868348207666,0.7656469819238851,0.7633455426564605,0.7179369192664388,0.8520624976110241,0.8251696058937149,0.885677092030595,0.7698247196667837,0.6639765811630682,0.7023773761427564,0.7221013613632524,0.5562288406189473,0.589764781891424,0.6743166274817417,0.6076784320053875,0.5981747799881506,0.65329701092851,0.8357831570232819,0.6119131535324362,0.596241448297845,0.5417088760239132,0.5210465245002713,0.512889041788517,0.5574583727730495,0.5222158208927532,0.4912651522789929,0.5578918656052776,0.5362356262542368,0.5627902565522297,0.5415408079634215,0.6229543811170667,0.7716405330636765,0.6254809468662591,0.6751408416206713,0.7169426363730647,0.9775128203732976,0.8811531672467803,0.7766247320308788,1.152911463818391,1.277125640872235,0.792187966778145,0.783061238123952,0.6330378805865376,0.6171183209408501,0.9493953686080205,0.6748653098594931,0.6907085272855191,0.8737467546281767,0.6526717478349272,0.56105047267078,0.6117517877365883,0.46867169834440925,0.45120046752967374,0.6229857735666869,0.6202762774174138,1.0142791352537472,0.8127842677420285,0.4666198178618785,0.5494806474811564,0.8238949321727738,0.47154441070630837,0.6695879408052526,0.6851005948185919,1.7854530607930312,2.3330932022330972,2.726244567022386],[0.4564305375623795,0.43265653749010624,0.49340187003300434,0.5349104083493321,0.45813621041026176,0.3613532339045171,0.293534899997224,0.31231332321446875,0.36221137487911054,0.327490643716817,0.34332810928887947,0.39008417180154964,0.3678325110222823,0.3554566586540572,0.41811902722838284,0.40903144908175426,0.39314580991816694,0.41995323782132893,0.5273000908328574,0.48491978388329887,0.5348899436448354,0.6331506884774455,0.7818787617524411,0.8271652503926596,1.0083550791221176,0.623058099550107,0.4679300301503346,0.41303466361568986,0.39728545509422697,0.38566802171926806,0.4199417421857497,0.40021555261447933,0.4372330437914907,0.4403202673815527,0.4308743654124259,0.4533562748714533,0.4116838018194536,0.4133796286050449,0.4092154121885367,0.4400589155531083,0.5503064649165841,0.5005344645829688,0.4814893328729268,0.7663080470904677,1.3337248990738313,1.963222271450046,1.9303176816417598,1.0987536545431031,1.3633587730986332,1.3609456167170175,1.0628743389327402,1.6687575516973205,0.9852952143804345,0.9540524813105719,1.0904980052632953,0.6897499646002501,0.779840450195669,0.7246273684750129,0.6298441980861205,1.246407817566155,0.8151090682046864,0.6093352511910954,0.5436892277287309,0.5892786062689954,0.6246953252996956,0.49986190161303484,0.6446234277563568,0.4549753289206507,0.6230801132710876,0.5276370887165521,0.7180721657934338,0.9532937660567568,0.6210604409124171,0.6987915018985902,0.5200041918065087,0.9809195803636787,0.48329393510077556,0.474768474080828,0.4598717944902331,0.5264684729540532,0.4515808512630406,0.5117348623449769,0.8810166650372331,0.5381643935576829,0.711285284918384,0.43592728108254053,0.4629326843810377,0.4747780700817541,0.4485603674806979,0.5077892564142271,0.47655851084780076,0.7400686382411723,0.5687074739312831,0.42385611210209845,0.42070105363354254,0.49406812273958883,0.6162686226556732,0.3961653983773416,0.4047146718340346,0.4524292894642016,0.3965294555479323,0.49583932513538315,0.4252780656822838,0.3530275291276319,0.6305998595365929,0.4217963575388931,0.48124497691612506,0.47541405779989065,0.39990625602610613,0.5194285761493471,0.2988484511870523,0.3024489691148602,0.2844046167691772,0.2549976254754378,0.32961007390542874,0.3620572444754646,0.46255055236353676,0.45424100821610935,0.5103019976688099,0.48479780968033165,0.4906894874718305,0.45632485013981927,0.4011199157000727,0.25839747317538836,0.2138863453307278,0.20347132810874485,0.5134291676952016,0.3268596196626576,0.39586260371624715,0.4123192148405624,0.5578331898043241,0.5006805273535487,0.4726050129118536,0.41703004270944105,0.44727410348514873,0.5501422955346432,0.6003721621861208,0.39753160994455805,0.4477222242429078,0.376781130248851,0.5182136721572296,0.5682547528122937,0.4776369206886126,0.42575101234308593,0.4086971746193335,0.42090343191388124,0.383355085812987,0.380262681099816,0.2673601785749394,0.31120338595071534,0.3600722681070009,0.3431553422421257,0.47662861091307807,0.9380314670834538,0.790292027127852,0.37935242173470707,0.3335123599541571,0.3223436745148982,0.35329333993627354,0.3225521734923516,0.39107994003099633,0.3657996421648948,0.3680071675298386,0.3990264092520298,0.4383181070628901,0.5794063568486308,0.5694595773414468,0.8060214431610737,0.9166892514940367,0.9041699518710188,0.6442604457253167,0.36202544198676356,0.4369130578603727,0.3814683978836503,0.3577822297214614,0.3779741423000663,0.4275498990587329,0.47401849994970385,0.44818214100107023,0.3973502809003718,0.6807769742948206,0.335559292957176,0.38301003179729065,0.4673092696496615,0.4785397983476744,0.4917033313253218,0.4864579394668701,0.7097360090605473,1.1749078779761677,0.8637474796256619,1.1137209657483702,0.9082759886463827,0.8421784576968524,0.7957855147980188,0.6342287567560119,0.7301353913301041,0.7466797343735745,0.637677649028129,0.6260310307791858,0.7986367451303996,0.5750146970276534,0.5360778696232288,0.5109772090718214,0.4831065548740367,0.452427098214921,0.4568469833489377,0.5463454749883023,0.48324222410806306,0.4539042826350349,0.483958674903852,0.5627445295173394,0.5209710907453355,0.5654295640996004,0.7196803230154359,0.8334685600094678,0.8686834151070753,0.8257510347028202,0.7202103892766291,0.5873041489796904,0.6169019966720078,0.5982762697656736,1.4680849573285648,0.9033149345908095,1.3831088070351891,0.6573426020541232,0.6199915263352856,0.673558209653632,0.7734783637177742,0.6051675207346567,0.577179226469049,0.7031659529568912,0.8053391888196685,0.6742338516335804,0.672193943211536,1.1082563089561446,0.851898876152755,0.7978763442502506,1.2018018340965393,0.6906365360750853,0.7274172204658625,0.7270343758445149,0.7071074287422541,0.8814145536281296,0.8311886552588725,0.9354212307991552,0.7687695478811929,0.6328057298578985,0.7417451421149236,0.7041035522495834,0.5216076117883826,0.5606146139113306,0.625880931922811,0.5383176456644948,0.5461185278653145,0.5973605131093962,0.7620150169628511,0.5650441720948322,0.5462140363779768,0.49754090869330186,0.49071736146217637,0.4911264334340756,0.5477020450765775,0.5061181002876284,0.48805763171979455,0.5411647231354194,0.5205264683454746,0.5447973869249112,0.5202217485093079,0.5920136061777538,0.7244574734130553,0.6227674985416158,0.6269065358639279,0.6737263158937155,0.9180754650759223,0.863992696223615,0.8185425117226156,1.2336034536067555,1.3972710538429283,0.9118754596763516,0.9003438324728971,0.6965597061906809,0.6742287921886143,1.108548819743047,0.7961700626497531,0.7764508095165362,0.8033411683063781,0.6133339570770502,0.5397011279785794,0.5386643013406207,0.4596393045264238,0.385143868108649,0.5418688476174329,0.5805827698432414,1.1391023873446906,0.6803446562214822,0.4352602583164128,0.6163414161077083,0.8741008207326636,0.45672731077677353,0.6065801988670027,1.1386846662205339,2.672499281908876,3.601823800725387,3.8471449263679958],[0.4105331599043565,0.3854886502802779,0.49649249018258057,0.4141400090748454,0.42692933508206127,0.36161581390602326,0.28809864941441965,0.30287588941589844,0.3420318896237366,0.259435443327759,0.27056014192031574,0.3504159521579916,0.28351270781261234,0.24231646123017386,0.3068541967079858,0.2981089886849111,0.2913507550164596,0.27940208315627685,0.3651407666653146,0.33827355195973263,0.3762456388583737,0.4818650043745594,0.6210712940731644,0.6761682759387789,0.8754531353810271,0.5033329388276235,0.30054681192983196,0.23541407415772633,0.26094849986928764,0.27140173085618974,0.3364410173422913,0.3098238786229539,0.35049603148763214,0.3175929110932969,0.294176602795514,0.29952138882801044,0.29135050501802934,0.28389529228755606,0.27012852453087627,0.30974811811043695,0.4562776554473724,0.3671765188862268,0.3449624872722882,0.6306901094536866,1.2083220404093507,1.8510292717081531,1.7809245528329143,0.9550879156850445,1.3049282263502908,1.2599439771846122,0.9589394987691552,1.5847062847738729,0.8577337456366173,0.8906495331270796,1.1463138902167531,0.5382590917143437,0.6532934221634132,0.6493198766023984,0.5238984521138325,1.1060794128670668,0.7403782831389247,0.5075398791710073,0.44714874190511694,0.4523401047297861,0.5070298858183075,0.35550324723286875,0.5740383483505742,0.36013542981290075,0.569280261308837,0.48439061147011747,0.7159431246350456,0.9179836798258268,0.6285827552338201,0.6497065219666069,0.4172170956850945,0.9082113882781817,0.3310488125963133,0.35033448158307345,0.3335994029698498,0.3900774586692638,0.3350397780395621,0.4281998569882406,0.9020383500867115,0.4048043031588284,0.60380390432302,0.3277437213344486,0.31348896505390705,0.3624614321751116,0.2890106088920913,0.4160703361087569,0.34528326718386676,0.62914296802273,0.498526160637272,0.34150988668866483,0.3520511839356692,0.4556996454662683,0.5747830362486327,0.3777897547183323,0.3692291345948603,0.4863948089304185,0.35755519400899216,0.48850197462848705,0.35160553603142297,0.3393073902543788,0.5049838178751834,0.3815704954294171,0.5142173462731914,0.404766741775375,0.36010845396185726,0.5639346819948403,0.26454231810766726,0.265064096001841,0.28237431754659453,0.1882089218705697,0.22050501621672608,0.22224923251273915,0.32267762372836817,0.26151238568602775,0.35849693123711784,0.33710482380121065,0.29668524499988996,0.2900848977858983,0.20225762885466103,0.13216359275185716,0.19266546684744185,0.21703036330772355,0.37556508901217106,0.30246285499963355,0.30037364082592644,0.3591540627347295,0.4593192162871967,0.4074519506543938,0.400677131147157,0.42087019289107086,0.40743636373859327,0.4966125899241179,0.6021417310624925,0.3591976401983281,0.4433386354388711,0.32965251466988665,0.4319420416190623,0.45610930668038746,0.36215834255868856,0.2965240052248143,0.2616755310306968,0.2839528336892917,0.24620655042496156,0.29982943314669247,0.20948568196856396,0.2980983130776991,0.4065814269919471,0.3881795132950459,0.5082938149742304,1.0525449565931997,0.867477944033359,0.39939904733697557,0.31994643029963393,0.31219468451065296,0.2841659227212629,0.2689506062182379,0.3154644122966144,0.273649558942946,0.28372726192630954,0.29408783496250795,0.37445870157374744,0.55167310620486,0.537366616481902,0.7839016790529089,0.900170665209453,0.898447993735609,0.6282706865802814,0.322686283572089,0.3850598313156249,0.3355804785518468,0.26811131447618974,0.3175945039612547,0.3379053538204731,0.47671909675297697,0.3247881257712187,0.3599353330813775,0.6601172348176941,0.28936100039717744,0.3373116490557971,0.43538397537238777,0.4499683041441028,0.42675603338296564,0.39394610654129913,0.654598770270633,1.1554028533380318,0.7925267098094009,1.065317690668571,0.8544244970229341,0.7802314062539086,0.7279735200293943,0.5459384591767,0.6253505305329621,0.6721823452767741,0.5276560127168752,0.4973476540775208,0.6325881623366553,0.40697382352009726,0.4234573490477381,0.3915886084848819,0.349685936919783,0.3390307964411425,0.38737773581675916,0.49035546381682793,0.3952975635356192,0.3931424093591367,0.4414830430776337,0.5194717969437931,0.49121939193248804,0.5379544593113517,0.7254350490957892,0.8282947944071785,0.8046812643760595,0.850284993096703,0.6629873520104138,0.5380102906482104,0.5517830355604656,0.5162964001823215,1.6258451685284512,0.8635668304847988,1.3954485173539686,0.5697956712841638,0.5570523980876684,0.6178543658647964,0.6613217287382169,0.5039119729525848,0.4726266002700071,0.6181187519095752,0.706579237725448,0.6116438859913709,0.5558960150281764,0.9788836768483334,0.7005746645539479,0.6660824947567459,1.0433188071755786,0.5534960767097237,0.5952442571328047,0.6417417385997284,0.6606938887566861,0.8168702492509802,0.8062678142753067,0.8938548467701539,0.7238246993115964,0.6055348459667922,0.7579730430992289,0.7007326681748289,0.47666889553463376,0.5631570821235252,0.6500311632675181,0.5218421652640977,0.5153315450608332,0.6278457103103486,0.7883145655779388,0.5301889762917616,0.5224634695471285,0.452527312134276,0.42825362508661036,0.40415108785034226,0.4317473722463515,0.41912394095099875,0.38919611304878515,0.4034472288952249,0.3928262630158171,0.4359304724508644,0.38639448786455566,0.4579202410826028,0.6378130705198706,0.5302183494446427,0.5024600262727137,0.5373621364655549,0.8104000525188947,0.7652700610887363,0.7175844007337656,1.047244362745425,1.2466004751398188,0.8570373299442701,0.8046589997042637,0.6242608654293224,0.6023226227709112,1.0048226944606689,0.688154579605949,0.6708062514050309,0.6887875831430272,0.48992307705245186,0.41086239266724484,0.4197343737490683,0.37600179215303076,0.3480252299227485,0.46923315650287845,0.5651742387744866,1.1888653370219273,0.6596390501874877,0.507193018053341,0.7146732109808653,0.9142608676268108,0.4826058846409554,0.6918347005646416,1.2097483993927536,2.8196079453352048,3.737060052944405,4.076265385001061],[0.44772844902102593,0.4420751433051447,0.5226744891492422,0.3982113372520118,0.43388073299108487,0.38025918473232806,0.2946344434700169,0.28175621542317075,0.29458226466154114,0.22872302212848547,0.23063121033764974,0.3166066942979195,0.25647706322559655,0.23206801631262047,0.3424186873090109,0.2952083951305514,0.308160797902716,0.30864170549249115,0.4243281037632922,0.38384201102995513,0.4254946956824386,0.5155234993376827,0.6006151816320204,0.688491967235174,0.9091986050797093,0.583004534436888,0.37787757082331763,0.2959038704945426,0.2942782805116504,0.2966745836757209,0.35044576125268967,0.3052816093072724,0.3930104152596574,0.3472418669803792,0.29933991766980417,0.3089634398871579,0.30063571410581635,0.31272207299942234,0.32053508903531397,0.33312460166927155,0.45200029194355074,0.41132196898499346,0.4085485338472045,0.6612086856066788,1.220220704146971,1.790851593124187,1.782563297952119,0.9842588324028324,1.3036124367858137,1.2892351329349119,0.9920785137931554,1.6990566208786078,0.8876686386462137,0.9903948210533549,1.1729770791572718,0.5560660114787931,0.6261705723939711,0.7239924052089662,0.542457128117623,1.1339494118713471,0.7519256886399319,0.5200589121418301,0.482847882850042,0.5241883908923385,0.5701902438384319,0.4222901968180336,0.650659810295775,0.4101388394506351,0.6370812357584704,0.5044192000097465,0.7364420649225405,0.9584657708737356,0.6339752848264841,0.7388150606244098,0.45181312200469026,0.9924301813128797,0.38529270550057443,0.38167185647662827,0.35008967642378147,0.4386186860426568,0.366862172042581,0.4362703659737667,0.9124831424821329,0.4210197128294296,0.6618399067769392,0.3375209979674578,0.33590264820548943,0.3951021541479435,0.3295588800699934,0.4097488164752306,0.3652653844531692,0.6694787451918998,0.5489960591440268,0.3923813733970637,0.3746885053038822,0.5217313306401675,0.6168984385409106,0.40006552668259654,0.37982873224715713,0.49229160767128555,0.3724134929167175,0.4602868211726143,0.36778954996731483,0.33935373337389735,0.4576190368434931,0.36476573897550657,0.49479846684439077,0.38922236271933225,0.32958542662963297,0.55265417546978,0.246855806843691,0.26419821299590834,0.28498583650059556,0.2173065720148812,0.24543365807849055,0.2555592668043448,0.30581652226205014,0.2864476676602821,0.4278682874571583,0.3920229532042863,0.3615213111804713,0.3483403961005523,0.2760610830762623,0.20334247609928666,0.2116481713571979,0.22896818963094742,0.38931018537759055,0.31144586403444546,0.31123277947773775,0.3631297438583375,0.46165640794402546,0.4033288906863997,0.4106196807543796,0.41079983205837617,0.40631635118430015,0.47046682140301954,0.5728372519340232,0.34657871035900467,0.4015205137038196,0.33676037135076387,0.4306556390786423,0.46454883426588894,0.37830530971938287,0.32355512997283314,0.2996096678003443,0.3160625003615872,0.25664100714534155,0.30438257276144987,0.22699650843163457,0.30091294140128444,0.38981578540680906,0.41170333462938824,0.5006965714986197,1.1175383580215865,0.9356299515160277,0.410650544001873,0.3158416996290819,0.3105927702786793,0.2741700250834354,0.28018303236755654,0.3507782994251784,0.27886963896985734,0.3082012662747166,0.3133734431635275,0.3676207131761259,0.5529375026731471,0.5519435235622117,0.7777283762915127,0.8596563479156917,0.8711041834408314,0.6178946283156505,0.3313456454568267,0.35904239993595227,0.3250724161317957,0.27681609591106515,0.3315640221604933,0.3544775765672422,0.48185425077544125,0.3546584288008685,0.34240419054860016,0.6536896930165197,0.2920900547466688,0.3408830314380417,0.438866844927408,0.45189100514031916,0.4601930904630871,0.4176519828165083,0.6559593352937546,1.1650114501190587,0.8266926319926665,1.1564537006158604,0.9250421840074557,0.810732445195085,0.7457840898322219,0.5691977385042141,0.644344564462471,0.6813139606478366,0.5295310034776985,0.5039822571939584,0.6357201589667438,0.4045172381099863,0.4127720990472804,0.3812717128755594,0.34075788749454533,0.3260989807856507,0.37601247315037817,0.491567896877699,0.40016375376249347,0.3937366213051576,0.45684687879015046,0.5547720451585977,0.5377946002572244,0.5750724765149416,0.7686621532235081,0.8909620641266236,0.8448749580751338,0.9189825452104122,0.714348443413487,0.5712349315880986,0.5850773376249042,0.5521572526460735,1.6523232736365394,0.8870580741003924,1.3755673748417063,0.5469804537587478,0.5391430073523883,0.6041054231110704,0.6539134704956104,0.49542827780918564,0.4652189045686725,0.6127633788935193,0.7140048592281008,0.6109922357247792,0.5602321888362847,0.9912254337720796,0.7352612782057005,0.688255207549799,1.0674013973929857,0.560024549202841,0.6010031243137278,0.6427150162992098,0.6495627362616435,0.8153201764951714,0.8015615613514877,0.8976248915454568,0.7141279185009686,0.5915847097868505,0.7627199154886392,0.6893319722420729,0.45528830113545976,0.5534515453240572,0.6431017862973615,0.5151311565027203,0.5160256641794455,0.6413955335763926,0.783985658066821,0.556509497271619,0.5481572538777852,0.4661690549345261,0.426402874689006,0.3892790355749388,0.4093376965844134,0.4183961690951199,0.38275806687854663,0.3803540721550657,0.3888861619780695,0.44166740732164517,0.3829308466220601,0.4536274473637018,0.6678715577131078,0.5423846737600393,0.5183883930399997,0.5527797869367106,0.8484747826287108,0.7880411432488643,0.7306902841643781,1.0970823347396024,1.2404872351310265,0.9197564494650134,0.8433175208077587,0.6486952453239931,0.620565315417637,1.0082414906252528,0.6880299100585648,0.6833674297805847,0.6848321054579812,0.49139876339015415,0.4090276132219371,0.4209885293509663,0.3771397410304587,0.3541896090156452,0.44344750852944137,0.5588703100954378,1.2132703004130947,0.6379923253738314,0.5345976482780047,0.7844756187634006,0.9063686481882713,0.5299457800939135,0.7814986108580277,1.2894379454183404,2.9800581224509752,3.9509566131635947,4.423672220805379],[0.5015743016036919,0.43105472840688513,0.46713005194367946,0.45641769198426946,0.43082937189625353,0.3813321717270731,0.3391194956366526,0.2707036600234663,0.2116103530085797,0.19856112302242818,0.20742736028272318,0.30194178977010977,0.2426361940046473,0.20805659409723376,0.30290258238420753,0.2658926186206136,0.30486463444786943,0.30408943843591,0.4110722259545329,0.38013164724619136,0.41407244931918563,0.4832450332806848,0.5653570307696255,0.670380499068103,0.7806515717175421,0.5351956115805369,0.358709844932372,0.293878687653127,0.2987554774947866,0.3036863342994655,0.33147793937527426,0.3041306143547722,0.38728708967045533,0.3266983290807842,0.2960934562513343,0.30198374540511336,0.30702005420333783,0.3025340680073958,0.3238977539879363,0.3464820981589015,0.4704769127894343,0.396205277320934,0.3827910417845971,0.607142851973947,1.0708849367197626,1.6515621977988983,1.5523207053558958,0.8719027075390289,1.285943162329048,1.1581699110127481,0.9682713269554538,1.6153341060143642,0.8294259064244457,0.9502551848320422,1.2486058907358308,0.5270203502006074,0.63724892037244,0.6935257740778876,0.5451169766942462,1.0869460079900322,0.7170115932067398,0.5068853170948137,0.4650462533505962,0.5062576687155812,0.5212498986085355,0.4012905244429659,0.6292739293482643,0.40136860114756595,0.6307422168935038,0.49415959629603157,0.783585720887596,0.9618050831042119,0.6604434477729885,0.6987038157475357,0.4292216292167126,0.9741933030015159,0.3552362926477412,0.3637420446296769,0.3349308078619179,0.4181614016299969,0.3746783593986456,0.4478518018421071,0.9581487961211574,0.4183708705256548,0.672124678706782,0.3663999028611426,0.34150665985410567,0.3956285895913492,0.3104228176472612,0.4091040273899806,0.34507795459561175,0.6370919544322778,0.507979601214352,0.3563175869885637,0.35243356091536915,0.47882282466239484,0.6092158283022886,0.38519523050413995,0.3626298177726309,0.4650542446952405,0.36593471221843843,0.4257508559345144,0.36232533140552675,0.36302754377624513,0.4588855587870618,0.4172819848860514,0.5256488536539129,0.39886864166921315,0.3540732813314458,0.5806056301678462,0.29719833237989396,0.33917953264664974,0.3370868059909078,0.31348990755536194,0.336479102582445,0.28544552838623155,0.320775571997055,0.2502023327983934,0.33595493361649276,0.36970372653444744,0.2879996748725946,0.2780058712196713,0.2657799422682608,0.22606369008570115,0.2862899322215115,0.2743777904260024,0.42481807284683815,0.37208754387503584,0.3830154119567251,0.39419973415640996,0.4770554697348861,0.4207148714256197,0.41998229519930336,0.43869828144307577,0.4466688154382646,0.47264486795328825,0.570019815019168,0.3539631797456704,0.4297209069610926,0.32536600330407434,0.3830720547509275,0.4121316334212448,0.37348979677040595,0.3080971063540352,0.28703862309147254,0.3147089822709543,0.2620285021983755,0.34592646275544164,0.2884919700815223,0.3014676653260195,0.3961332196618248,0.4103494078628158,0.46482252241281796,1.0615838009305074,0.9327220561850429,0.41574845254411713,0.3237820573136332,0.32957949052366675,0.28137093616961273,0.304507672641547,0.3838024210719547,0.3263404936045914,0.31516142447750023,0.3164431401926851,0.42454045849930905,0.4849730423347104,0.4776777130031493,0.6483149908702537,0.7699034484664805,0.8304852193852328,0.6010928350451439,0.3654995032233808,0.38214498745670383,0.34993092775284285,0.30652355691392175,0.3801987582918883,0.3801495536506997,0.5362485446365115,0.3411738150754603,0.3857469303842957,0.5999543045147387,0.33937348007624085,0.36444606194218876,0.4098483532996575,0.4297656363793589,0.43391829834211015,0.4123530448629632,0.6140197101044461,1.1370748911162925,0.7140374572980757,1.051397369224734,0.9357953676886434,0.7591773622152431,0.6974861919785932,0.5281574328394465,0.5823987166029139,0.6815651291525545,0.4941465416809987,0.484620814252128,0.632718869493432,0.44605701159768424,0.47526740861005656,0.4215528761862827,0.37540721892328255,0.37560916449976095,0.4115361389538445,0.49474646428024105,0.4074388409387,0.4106259843360125,0.44300433432260367,0.5078338798234798,0.47618779383715226,0.5271632636132781,0.7455717538698552,0.804401430130449,0.7834236419553167,0.8774856421217226,0.6525110464207318,0.5257677101979885,0.5284693727356427,0.4813027263467711,1.7552843253083446,0.8229862442338243,1.4509922842936773,0.5875242260163102,0.6148043453580078,0.6856018509262471,0.7429735111966301,0.5318181936195173,0.5006102891850585,0.6436447271699288,0.7108562500005947,0.5948572495020088,0.5486529797459164,1.0256313908056067,0.674568285025834,0.6747611073608866,1.0461645892391032,0.5718780211672213,0.6093963164285113,0.672828999818027,0.7259543014383455,0.8821702380625444,0.8729483979668472,0.9625403934485792,0.7823932973948792,0.6489163344183408,0.828452025347448,0.7321380610952786,0.519498886264054,0.5931123212838659,0.6425814144586187,0.5174406609605691,0.5306089458491102,0.6201263429587486,0.7166910163772554,0.528264593456839,0.5191500548765736,0.4511504379694193,0.4568481923200669,0.45286364848187155,0.47291731388623803,0.4246913878231001,0.39555873227530275,0.4234565778733965,0.3908681373311917,0.4344600039037815,0.398720070085464,0.4466008583734707,0.599804659161941,0.537754621519789,0.5131880971755683,0.5443643211286789,0.78771026516931,0.7659903680661928,0.72762010019633,1.0373766243536053,1.2465499356453278,0.8532421603818134,0.7929187953622723,0.6254730010694622,0.601495725862864,0.9917021186465929,0.7033631310337977,0.6806216824958318,0.696929395625039,0.4983777335767693,0.43886900019027675,0.4259489962941682,0.4055481275890262,0.3982888800138132,0.4776468472609181,0.6392086600071074,1.2685926744268987,0.6518119577886884,0.5747516607283201,0.8932242068740113,0.922588443406664,0.5540738673069451,0.8363962415802515,1.6159140300435557,3.461048781831551,4.768252560923555,5.337235252640496],[0.5376735429009737,0.37861653036384163,0.38676021053399623,0.44951748689697196,0.32584949915960354,0.3026294530367852,0.25022851808833474,0.2069384700430439,0.18021111739086718,0.12566725865769324,0.19179015841248756,0.30320489456612204,0.18180351286770907,0.1784940408245487,0.31277270751170083,0.25907000543867437,0.3154210183490538,0.36169918949040014,0.43378939427602076,0.4220751204717792,0.45118481617653233,0.49588654059105847,0.5699842141839719,0.6943265293330245,0.7348082965955082,0.5411645780582952,0.3714258534961347,0.3222968155553159,0.33742724748319475,0.326383162220202,0.3325617870932334,0.30666388856068455,0.39531440978476023,0.3236825991920161,0.3039183848741207,0.3259165464093707,0.31761194907939844,0.3288428060255985,0.32544861134217085,0.3614078676148752,0.48918706883009777,0.4169230870358203,0.39220544506804716,0.5828153862027889,0.9918372426289707,1.6037574620463315,1.4444242773682754,0.8212275284874124,1.3037517520884783,1.1048182232131056,0.9392716380409467,1.5293937022112236,0.7983579579002139,0.8921178036398024,1.3219857597899634,0.563264826602526,0.7107696008299118,0.6662935570500842,0.598443392678288,1.0249540927450662,0.7044709536227813,0.5512248137045697,0.5234939799976372,0.6041235078986594,0.5228808947193047,0.4568616270465559,0.6697738679863975,0.461828011196451,0.6704582909088648,0.5411393566785906,0.8534423161326813,1.0182050347782488,0.7267217803580619,0.7214446117840158,0.47278925874661853,1.0358372460122218,0.39071789426168163,0.3862587168197859,0.3580587147927729,0.43543118214117843,0.404678410803251,0.4676016728389185,0.9877582035917709,0.4475909654533609,0.6405248243747856,0.40080641354085117,0.36614756786444186,0.4288412074091654,0.33945275940627584,0.40742339911422676,0.36867118909276736,0.5835012191838654,0.46453407913991374,0.3368700197587586,0.32618821776704465,0.4215094241022759,0.5283029253143197,0.3680940535546865,0.33323567959643663,0.4982460586445603,0.35713521425301636,0.44320072834340773,0.3398786690169239,0.35967625398458347,0.42256321589950224,0.4000078548258675,0.5624124997042381,0.35749138391905994,0.3673969425662818,0.5931447288573923,0.280995971465088,0.2703519962842103,0.26580622042359564,0.28710108222942715,0.3569634288600221,0.3072955086894721,0.34271380856229045,0.26089568767019217,0.3559359676610605,0.40951272421370677,0.30694587300371046,0.286528384957083,0.2607327025528794,0.29325258910973656,0.2647375604722241,0.27293812078673996,0.41172788409903616,0.3277112512534649,0.2871702167420464,0.3500524281141516,0.43214175755606943,0.3798037942493299,0.35998986219996143,0.45835620554491613,0.41552230713140903,0.43004139914761164,0.5964960974888214,0.3418820654311567,0.47499601701330146,0.3388304309744445,0.4070925519712929,0.41058239706777444,0.36883152800118146,0.2999183552611703,0.28299810350772364,0.3136674188164434,0.25475450927875154,0.3270948322772936,0.2565424678783466,0.2713213195082703,0.38375939590477015,0.42611342041054817,0.5354408637331713,1.1910432424405921,0.9916272219838089,0.4216939783677903,0.2855621535247136,0.30899159842725377,0.24700734842791597,0.28055951195205003,0.31943017948593744,0.30838702000281093,0.29098288504785436,0.30284351666434917,0.43073479842549883,0.4805764153838065,0.4574504196122008,0.6330864254302597,0.806864512685927,0.8542942848377909,0.6199797786970435,0.34562920320366763,0.3562657985957146,0.3396052533678971,0.28585970066007893,0.35769291257479313,0.35830415595887327,0.5880007021580468,0.3173569145600559,0.4195210238436499,0.5685262109269826,0.3079588997368972,0.34134470921001203,0.38922317852623867,0.4283568853845913,0.43000503722377825,0.3884805013172053,0.6282348745633625,1.1279873242379197,0.6902090329780031,0.9731727947116586,0.8610894835185329,0.7000598899924221,0.6405885461155592,0.4760014469112351,0.5287232134533913,0.6477466481937111,0.4381208558790228,0.4153211292722503,0.5416306859869002,0.37411787779465766,0.4310225165787781,0.364925291844726,0.33805618154176076,0.3685846617302749,0.41059313411495013,0.4645422124005858,0.3867039136651699,0.44097831988669944,0.45445587984902264,0.4976551726279707,0.49509295455046737,0.5536951604246699,0.7524838810241254,0.7945878860198681,0.7286057096973044,0.8953206758543001,0.6303808221642165,0.5333178593939902,0.5203415833905265,0.4713346405634104,1.8586752813740257,0.8178842959331827,1.5395864686427092,0.6001893860441982,0.6314887149272546,0.7036384945697252,0.7521141518420098,0.5278686635212867,0.49035633521077826,0.6361709333759411,0.6748338902541283,0.6039949446740679,0.5136078957076703,0.9938150449070035,0.5629100794307256,0.6223455462487841,0.9444728964935575,0.5031384688452051,0.5465459132851025,0.6414700891955127,0.734226403445806,0.8800975577017698,0.8959447181142992,0.9659036120359527,0.7845256161224224,0.660660120212235,0.8747893552418429,0.7566276852539925,0.5581708230923433,0.6612511901966316,0.710306714347843,0.5675332606763632,0.5875767795020382,0.7049054797308725,0.7555668213555079,0.556197528613387,0.5679908157794461,0.5016172254096798,0.5051108123596363,0.4937283674100252,0.5004942629188723,0.4566907794815324,0.4066792993681547,0.423562923219459,0.38444339587554244,0.42749052427528766,0.3783040759066529,0.42150185289154285,0.5667645155453019,0.5231093561202382,0.48097528367581904,0.5221978696297194,0.7489339336688697,0.7355219035500244,0.6954233320755613,0.8885688084698016,1.1366795103853262,0.8212467515933863,0.7153891017637538,0.5878277012217475,0.5457383099178573,0.8741859580158368,0.6431943476178962,0.6195477410500038,0.6974390338124956,0.4801270145720474,0.3996319671497159,0.37143801249599034,0.33553783757949307,0.3603455141528936,0.46843482555006355,0.7104344373151666,1.326381706851471,0.7298037018995489,0.6477513334417793,0.9938152211754884,0.9483192944859835,0.5942753178506385,0.9745008367590988,1.795231025794561,3.655423176974525,5.018306327431091,5.7196764390051245],[0.5651376788756024,0.38675127871535037,0.3998201403717767,0.4592354923949454,0.33192704951709257,0.32623028905352086,0.263345959112929,0.22679903091732123,0.19895136643409936,0.1849625521073644,0.14654157286640335,0.28046212085234384,0.18855615405528153,0.2104832413653318,0.37642372234530896,0.2895848440719937,0.3924785888489865,0.4546815571570884,0.5314127424587234,0.5010443293293088,0.5514884600316483,0.5725079271655623,0.6242907163155842,0.768019919054092,0.7058328292418939,0.6070344097326857,0.45321772910670716,0.4162483650539008,0.4119769804589386,0.3804809242787306,0.37829684224667576,0.3023900075055049,0.4332316160205552,0.36584727294856023,0.3445791941357923,0.38328311580037666,0.359919173682689,0.4092343243170666,0.4165175863932388,0.4410136086888042,0.5470877567958844,0.49363177289987975,0.4845256893386199,0.6217286905341477,0.948471053043528,1.5128613740761856,1.3462868636494187,0.826531178173755,1.3052781622878098,1.0636143221586913,1.0175826761751083,1.5608927820312635,0.8280552030426471,0.9386007030071493,1.3954743504719653,0.6256149907691846,0.7473874296870096,0.7539952408397681,0.673091435026486,1.0345520593069915,0.7232432483594041,0.6077131902079632,0.5825878425561912,0.7341709451605963,0.5954825225217998,0.5476692091421745,0.7467690389654388,0.5500022252555411,0.7526889007826588,0.6203809851040111,0.9483634387632762,1.1041891112057958,0.8121394640253772,0.8044369510568785,0.5353400928861266,1.1373244260206126,0.4772505788798798,0.4466829702161909,0.4125551285039188,0.4928058729616058,0.46108284941973987,0.5111136167194967,0.9949475278976254,0.5052011314006424,0.6909125398087956,0.45492035955323934,0.42799864750787303,0.473866746691562,0.4001302688019536,0.45192162587769513,0.4303438476950273,0.6128702904919818,0.4938745965254929,0.3642343091283455,0.3410437252606271,0.44307419525640596,0.5285112161688748,0.3660913153089716,0.329631825536013,0.5405889268606424,0.3488083416445492,0.4396682806019631,0.347343549167154,0.3652233574270738,0.43063411692994386,0.3854583248490507,0.5581067274328179,0.3388861422583073,0.35945137159406443,0.5843824001023707,0.2800093859184019,0.27396782736987824,0.2603767320392264,0.3079928304453381,0.41049047606086675,0.37016612308084534,0.395334993851117,0.3655294895376421,0.4799833420353528,0.5074312584686013,0.42177238259754674,0.39684858977504167,0.3447418529435056,0.32722975073067423,0.2599436824909666,0.2712820687397987,0.4334538968905657,0.3351780422552774,0.3084704957590398,0.3558215984693711,0.43021482527133476,0.3788276120246586,0.36414942312497167,0.4887232635359386,0.4289934736874239,0.41778239653351423,0.5909646584360264,0.34090370667654957,0.45902823429330497,0.3520433709172996,0.427693366002905,0.4905429246754881,0.4618151466617667,0.38414029579126796,0.37763415237600495,0.38578203399454697,0.3313874702590127,0.3431377703154301,0.2820092899880031,0.2643209918054611,0.3661372834860358,0.46907165040141396,0.5637922365627618,1.2971632228571208,1.0797036867195506,0.44150114894345877,0.28709675189275585,0.31864958981907177,0.2792211158722691,0.29696933668192,0.36145699364926387,0.3560677053966412,0.3503491582394332,0.36951518482102863,0.4870648561096126,0.5009196962481228,0.44184829017168026,0.5756905923123877,0.7233736355971796,0.8029439667533889,0.5818501044483471,0.36775741964995806,0.3691682523404031,0.3595545713411738,0.3277909482261888,0.3916971346581767,0.38657097657998957,0.6191788699439457,0.36666501857724143,0.44104566431030756,0.5596878209236821,0.32895533858838255,0.3508524444901612,0.3982433880019383,0.4435127092730377,0.480056861554114,0.434701514919828,0.6740315320436603,1.1294038746940378,0.6757189790014423,0.9713990924887997,0.8939712658309472,0.6690315719550434,0.6022851216209814,0.4658939302002334,0.5009130374825531,0.6362267548829074,0.4211597502876798,0.4141819843294213,0.5469029411075552,0.39867624896762727,0.4621164537068186,0.38827099116653724,0.36749408441356457,0.41474374168156497,0.4542405548536355,0.4937653882962638,0.42671723189164296,0.5057050034791631,0.500984729070807,0.5282113671171723,0.5451771496659777,0.6041269595070842,0.7845803316938602,0.8143956351198135,0.7318215832837371,0.9168213380077215,0.6376205238242713,0.5598327087668813,0.5533572355516381,0.4962921095509814,1.9274165588311722,0.8481679342381571,1.5786928595815828,0.6491066373911957,0.6850380969729966,0.743024485642909,0.782907825934269,0.5608922805544073,0.5136981809317286,0.6406321833160921,0.6713239066538913,0.5898010809645293,0.5001439964730515,1.0155923789428154,0.558820024801942,0.6187085302913617,0.9402246837175794,0.5025966368445148,0.5440855553507138,0.6482973055576852,0.7536649614279455,0.9008318724408019,0.9363077294962141,1.0057778624443487,0.8034207599293376,0.7174896265261616,0.9460363322735966,0.7967767312174292,0.6077265575360422,0.7293675561713802,0.7704278810489554,0.6253443756228216,0.6549634455720889,0.7877680072242431,0.8124655906790967,0.6192268657169983,0.6439888589769884,0.5752346383623869,0.5822501008484076,0.5621644090236155,0.5649961669265017,0.5258440804837445,0.4648020780253597,0.4737162070793673,0.431815923559527,0.46888488326126593,0.4089615729244887,0.4484926601722131,0.5760994507229112,0.5339778515047264,0.48053299036740676,0.5220045062977214,0.73257837004888,0.7319375225050166,0.6936616679025496,0.8892955074960283,1.1336995119263593,0.8226169997224968,0.7120005176736495,0.5927224015636934,0.5507825279283647,0.8694839861407563,0.6427977659325836,0.6179353685278894,0.6947046908725839,0.4831242628373073,0.4128272875011557,0.37947561005300373,0.3516160101046441,0.39871318176637366,0.4687838216076459,0.7431492590634972,1.321020149654684,0.761826616461325,0.6969857474759938,1.0721582232895859,0.9434475353634819,0.6288520515849213,1.060009236955374,1.992648916589069,3.907127165630931,5.485126246383307,6.378147516543714],[0.5829626357707464,0.4680539319894274,0.48698478705568,0.49490410561557135,0.44093758542084155,0.4251745367438235,0.3721494130473571,0.3204570161583202,0.30236476577730503,0.3230182927621265,0.2995754622034016,0.3964221710319812,0.32868991927303126,0.34488677367100185,0.4277665585469534,0.39779376453818227,0.46104564153732874,0.5131447812518269,0.6185700550190391,0.5822764592631464,0.6419269877204207,0.6650654572207249,0.7202764625401789,0.8532801154383005,0.8059894871986627,0.7090768629976768,0.5575639013984826,0.4885855319184508,0.4779284144377741,0.46972520623963043,0.4679411349380896,0.4192782382400433,0.5498571417656047,0.4815192559355586,0.45393496884554985,0.4748918821087784,0.45980823890836514,0.48094945111701964,0.5145285511024035,0.5275729487869848,0.6222918666334042,0.5910530287823995,0.5906066487056781,0.7228440493276811,1.0437603727277227,1.5497587185443746,1.466275029589927,0.9255315626853873,1.3179802570721892,1.1592732516679392,1.0810699617468782,1.7012412850580945,0.9135831321822737,1.0671827854195732,1.3601127684069199,0.6748499987084079,0.7598946613409504,0.8470322196320786,0.7077032584396509,1.145613820520764,0.7694278023106594,0.6759910350702293,0.6776056426233862,0.8375247621966523,0.7129719280376852,0.6559713067028027,0.8484063912940975,0.623527809498953,0.8347943985092913,0.6825402135280793,0.9753759021592565,1.133936961460399,0.8335808396499029,0.9173341707723774,0.5997752535412239,1.2756261723494144,0.5730135776035663,0.5475934931211829,0.510936737340971,0.5797261184563252,0.5462015209438412,0.5667188132349784,0.989300663102209,0.5732257580508547,0.7893720951741547,0.527574478391437,0.4846821640711382,0.5504873808153361,0.49920034334081187,0.5306771823571543,0.5223726709763356,0.7570501270102566,0.6111474078375027,0.4951226018756314,0.4604556182022771,0.5931517613350208,0.5869100170895882,0.461073507116011,0.4394798748214275,0.647890084406808,0.4373993095302956,0.504306102790943,0.46567936524604636,0.44617878905787695,0.49817072653074557,0.46648834102259285,0.5885405721965646,0.4264293086378126,0.40697009708198323,0.6239828701321253,0.3737381171278573,0.3546882631071253,0.3460539894080264,0.3700073240894887,0.450767900715024,0.4203054276693787,0.4491663579677459,0.4369526225833379,0.5799420592173107,0.5685783738059796,0.5022109363213898,0.5107581173880591,0.43207400764954473,0.4201468990842751,0.37510021253615516,0.383104073294342,0.5119298898631405,0.4319585843691202,0.4118257688509568,0.4567148681952464,0.5004364212115808,0.4651790756059072,0.47258802380404447,0.5515956409644165,0.5151894921716048,0.501031147284113,0.6252846825723966,0.4219432755102225,0.4869509499718162,0.42625582244207055,0.4978477196901166,0.5945212325981499,0.5307307172603912,0.46004863210358976,0.449000205392787,0.4595558640339799,0.4065307039989678,0.4042251192209857,0.3852825515425835,0.3463617430960108,0.44776251240181475,0.5301080191254457,0.6335194128741679,1.381213201676976,1.1492618786829112,0.528377762828077,0.38763968470031923,0.4134816184525063,0.40302321847570965,0.3834521423905933,0.45691037037019033,0.4360998965402307,0.42923548443565124,0.46358766974197363,0.5148514712362989,0.5606836475307169,0.5261684334656263,0.6751549136564351,0.7624248765668205,0.8457075666751036,0.6286886414931663,0.45710978281279185,0.45247573745377084,0.438418386692685,0.4206051589810263,0.45601063744522263,0.4787254129264166,0.65398678304615,0.47663274143642154,0.47948797651983904,0.6494417741718781,0.4032480597629589,0.4234257252349038,0.4872762081361094,0.5330067033444682,0.5622399014314485,0.5153956913407526,0.7395999940192562,1.2109962132983543,0.7815343008229066,1.0974333553969244,0.9764505119224791,0.7615231400623531,0.6989193632312323,0.5551948982677632,0.5840039845484281,0.6807979356475737,0.5133096901933624,0.48679176473461827,0.5979480904214066,0.4400056570499558,0.48851329063431137,0.4357085757530407,0.4127059131933788,0.4237923375293183,0.4676664489873142,0.5350010831899455,0.46724316969608515,0.5094325583168122,0.5297208081904577,0.5781081327155494,0.5794039001368881,0.6226714015543159,0.8281419418238171,0.8953225779169355,0.7945852098383409,0.9773156113308442,0.7231924295349687,0.6185472843142923,0.6224821988685078,0.5596676901626874,1.8530282194734748,0.8709850783522023,1.5406461848436117,0.6450081290146019,0.666237187976979,0.7151825344356019,0.7519176565136153,0.5686117185722261,0.5363206403671444,0.6584539928701377,0.7183351911556629,0.6478314814597964,0.5658927781636266,1.0418573451671924,0.6449068343008146,0.7040739794737781,1.0120812603892446,0.5622473665107767,0.597798777293394,0.665507507002087,0.751624693779556,0.9098494136713946,0.936218540983565,1.009676124496323,0.8075142433536302,0.7048320409540586,0.9184739947209167,0.7870526403851106,0.5951234424146371,0.7078509088433355,0.7635912405271074,0.6141642691479028,0.6329976584852631,0.789283971300178,0.8175347431804675,0.620682485982002,0.6445856874521201,0.5766809016329933,0.561350261429537,0.5329684756364407,0.5288484934309621,0.5093945936435261,0.4621521729663777,0.4729839961861459,0.4520553421288193,0.5092175028693916,0.44940681718474323,0.49485426951047257,0.6554792802695166,0.5839413049345851,0.5549609658626244,0.6020300802093347,0.8174638704524354,0.7930161181429252,0.7550684982796835,0.9824611009820663,1.2043571959938264,0.9393186935558624,0.8212218084833469,0.6692692558697927,0.6200606819875112,0.9346828586278205,0.7204128603477805,0.7065439665945079,0.7632590276632244,0.5380151915467707,0.46221429889213944,0.4410361568196703,0.42311134433822534,0.4627712196399506,0.5046966399244652,0.7343727386996013,1.3256466899413242,0.7768931160981076,0.6978687624829348,1.056624745407632,0.9690993535258203,0.6337890841650691,1.0458532227290636,1.8673683244471,3.753306381236822,5.210667376997172,6.077936392776525],[0.5715113193367151,0.41121835534312384,0.41978690858019496,0.45039043104004545,0.36623558484967295,0.36154620014416583,0.28729460597529727,0.25681928360243456,0.23979089844280038,0.1950729596306504,0.19374277531746556,0.324064961010311,0.20549270492108906,0.21708755086239714,0.3954163798226268,0.30932891906352833,0.37909674914276426,0.4393713523351634,0.5263041553315083,0.48324643357114094,0.5380833613376526,0.5651288779749462,0.6355971700301478,0.7682056549402413,0.7644728272865341,0.6175254355602593,0.43833728012535594,0.38472135708554767,0.38947596382618055,0.3735420921004334,0.40342699393844267,0.3396298477680366,0.47253599612015,0.40179961835423833,0.36995959411328044,0.3870301561425556,0.3703856298127792,0.37822066358637013,0.37852101481251754,0.40336298952729494,0.5146793075228395,0.4699801631979479,0.4606248617567663,0.6113909798124677,0.9954310229653235,1.5788098195757394,1.4535471652208745,0.845156033922028,1.2877446601808817,1.1134171096631695,0.9857631080068345,1.566720153652561,0.8058314212095524,0.9254897005498471,1.3729269998414426,0.6048581960193486,0.7232994050296301,0.7422968962511076,0.66566316304589,1.0573995793944473,0.7257934274665299,0.6123490385706114,0.6006545804246031,0.756856204461597,0.6060933468187193,0.5546089085226833,0.7727838317703457,0.5601833392378558,0.7828651298688584,0.6460177961465616,0.9621035828419677,1.1379489024489793,0.8316275968618524,0.8732434154172577,0.558424684370656,1.2039624493199184,0.4992471935559363,0.4800431757294376,0.43402740284194813,0.5089270099831087,0.46649721153033236,0.4987277826058482,0.992202385177998,0.4816300000572212,0.6677311704188605,0.4359249836265008,0.4037608841243422,0.47691861287013815,0.40504148541727764,0.4732342049597236,0.45772698059822575,0.6395622239389266,0.5308164126191888,0.41769827740154786,0.3874245300990626,0.49257431200667,0.526980751577288,0.40508597234414806,0.3616652587730116,0.5909415437297496,0.38856018426362,0.4860969796432681,0.3680810937678173,0.3814991522430015,0.4414458320239177,0.42339825039537216,0.6090876752236692,0.36781983562255643,0.4050613796553477,0.6013972917936179,0.3314031081299174,0.2993366171635244,0.27701004295924353,0.2868383095677419,0.37373983768200336,0.33565248643611706,0.3768883342071351,0.3471850412410595,0.5019553173383294,0.5063556040197599,0.41847234513097664,0.4077920482712466,0.3516013604683242,0.33973419124484405,0.2999916745299964,0.314656620288533,0.4043088856968234,0.3609811208465061,0.30880828833383817,0.3831634745552873,0.46117388864752834,0.4167319022253924,0.38846656513162775,0.5005703207816662,0.4377067877784267,0.4557477823819779,0.6424649864472821,0.3837066753965604,0.47724936395195156,0.35069082278136726,0.43319881440431973,0.47250934269142947,0.43371470931934447,0.35589642467682886,0.3394962623915356,0.34789318829164984,0.2952839379470382,0.33829523481194385,0.27539128054257733,0.2840087247468278,0.3916147582984953,0.45678703006551624,0.6324306115057085,1.409054865445046,1.0684883770578706,0.4468380754828513,0.30799625549956805,0.3377798072860683,0.2923406006360203,0.3072761296008462,0.35383454269559106,0.33603701747361725,0.3285205384383156,0.33876454654214166,0.4357840297775509,0.5147615371413393,0.47178128551050935,0.6741643708382019,0.8422500234302416,0.8799136461749854,0.6352336165453092,0.35442851155687394,0.36538160218550625,0.35594812477597665,0.31144528127181237,0.3778770101729743,0.3718054646323635,0.6283182005297524,0.34582962766078157,0.4433941525560138,0.5701911173784229,0.3318164007684424,0.3525214306166347,0.40049577229981376,0.4341754130275789,0.47224747149545315,0.429205143732793,0.6534987671488247,1.1415336392407083,0.7002356023563202,0.9898345275221528,0.8848443247744264,0.7129604385215259,0.6645069823802292,0.5062391970152559,0.5558147519941434,0.6800962619021331,0.46266178745910014,0.4500704801709809,0.5610760028175075,0.4133976842914986,0.45197059608443185,0.40784634685345467,0.4047475895404071,0.4375867116701211,0.4708819675199649,0.5068043429052699,0.47189108845680955,0.5344583713158214,0.5372351539186239,0.5835494705337043,0.6124811586817651,0.6555231979878794,0.8100146051445487,0.8779926245729127,0.7672990116583097,0.9907965578426312,0.7159147488657118,0.6273736768739396,0.631079781699481,0.5766818849155427,1.892999247042373,0.8930222663382638,1.6083841595387607,0.6509451665678626,0.6601569795197308,0.708801778653215,0.7367144698269955,0.5628436736958359,0.5218133049265575,0.6332257392560234,0.6673728894337526,0.6767438560274655,0.5538997317543088,0.9726232410277104,0.6132301738031143,0.6666403971887788,0.9664972904802397,0.5534968591686853,0.5390596275772773,0.6212679782967117,0.7205353043024993,0.8495617866421296,0.9088841291072617,0.9408295630162117,0.7669782124637211,0.6862253935597511,0.9001312712199132,0.7760109116665873,0.6123852418865644,0.7281270234691972,0.7872178052733398,0.6442050029380372,0.6801635393128258,0.8287817301509259,0.8454381969466069,0.6552349526886536,0.683906985166545,0.615483421032461,0.6006134061595534,0.5690131078807614,0.5628212846738008,0.5601435251084406,0.5029783106614742,0.4874798269212972,0.47810072382322266,0.5252883532053653,0.45295004771350866,0.4809242619804904,0.6405928541798426,0.5800512953473037,0.5146504245433998,0.5551404033421405,0.8194205185066911,0.7766695493845588,0.7433775387065714,0.900342499494034,1.0953738940571638,0.9134473455488052,0.7549968449806741,0.6424194994481185,0.5801078281124631,0.838079979169595,0.6694242612653748,0.6698115378976114,0.7560629045741143,0.5477750728471893,0.455774876370389,0.4187144454989554,0.3727070569167749,0.40059507831868774,0.505397658257385,0.7750925211512621,1.3585009386424618,0.7809756482135345,0.725305023450177,1.0543215338167038,0.9499127984499227,0.6616641538482066,1.1401986432704367,1.7796819188014101,3.54324513277166,4.821056655190744,5.7103380041389284],[0.5694336503420209,0.37121107203657355,0.39177742821257544,0.46240572569804855,0.3200607258284595,0.31915563672112995,0.24635428883149071,0.24697563187040786,0.2115445622980392,0.17677332664925197,0.224652163761577,0.34767417871767853,0.2366284361152747,0.24207890215857014,0.48501777523689893,0.3675369387817899,0.38164308141247677,0.4429650146174563,0.5063053680139908,0.4840778164685891,0.5099991216752657,0.5360112491686072,0.5952493189491391,0.7380064526540068,0.6749852788643327,0.5596729884308727,0.4106128055421683,0.3834111050834299,0.41456629896049974,0.4142142765275388,0.4341336232970749,0.3974459628743616,0.4928448132368678,0.43786204863050104,0.4155962665626267,0.4149560178149414,0.4075196429049054,0.4121463346634548,0.3856638093123766,0.4360811540422365,0.5095806002322727,0.4661565214731875,0.4589080224202553,0.5835119425046179,0.8698607686000845,1.46763828499256,1.2627460556753933,0.7978684075581606,1.2734723508688481,1.041565382353307,1.0117919970632174,1.4567363561701236,0.7963031533906476,0.8571486658708402,1.4290200922995595,0.6555221673189626,0.7952172806458842,0.7334723627480851,0.725975023917676,1.0302812254502995,0.7142226700669047,0.639498683594988,0.6084431340631964,0.7685230765376815,0.5871948268961458,0.5492069120153087,0.7258951741039261,0.5615105172286922,0.7163829641514056,0.6449778679264107,0.9327720868160994,1.1027434447522098,0.8470250662734031,0.79060917842041,0.57963839239255,1.1700936511886952,0.5177662739458363,0.5081391308665463,0.46319337570379876,0.5165430721430735,0.5101406389957892,0.5495743104834392,1.0157497970238012,0.5497067800801084,0.6673016396653083,0.47873808641547766,0.4450599835338893,0.4999461647403231,0.43029940751165896,0.5149600916568378,0.48475086540253176,0.6102682179810589,0.5260019637073121,0.43999746031303305,0.4244275459739664,0.48805429500372305,0.544802777365536,0.42944448602704294,0.3877809940898705,0.576747950373689,0.41868517760679963,0.4896322615148032,0.3676546690389892,0.40046371008206916,0.49525829146538325,0.43383673907500475,0.6255469647257313,0.35508987277469806,0.41174801464797267,0.5977248933711734,0.3385838545678608,0.2726070058068283,0.25556560449879623,0.3168655730841549,0.4039387524262331,0.3536075841678062,0.38538944471010134,0.30470371996997453,0.4317509969858429,0.46648395247515984,0.3892671427415576,0.34592639636166833,0.28948218184944563,0.31494226423754595,0.26900443793132844,0.26701238561989477,0.4210415414401129,0.3483773396933479,0.3173897315052647,0.37722184744036225,0.4077588291279061,0.3935011713880274,0.35055651207954225,0.5102255790607925,0.40944744398618993,0.398603278651506,0.6470723167393507,0.36115602375869016,0.47623132863092166,0.32354798628120784,0.4075511137869929,0.4234527877414251,0.4086643464054765,0.34034472346006855,0.32912224883787433,0.35600927103342017,0.29502049949349535,0.35398400461140006,0.2938409054071347,0.2805282037797384,0.37943518120216685,0.4514412879513765,0.6239394830488281,1.3691904420440044,1.0659670385362436,0.4412350760988485,0.32429903738569144,0.3436012166495378,0.3338287243670208,0.3228311882153597,0.3520531167199852,0.34797772953515166,0.2960481739813016,0.34056992789427376,0.5032591360712294,0.466320665912198,0.4086297185107809,0.542496821263541,0.7510129617846599,0.8034488779735691,0.5726607920481166,0.33374890188572265,0.37346352433399976,0.3640011971308527,0.32618370614041514,0.3999024917597953,0.38233374132543674,0.6550578740362051,0.3781439872676288,0.486738207098793,0.5240747096772089,0.3398586822959096,0.34654732457069665,0.37906384770063495,0.4210166232917922,0.45444315164122034,0.4097427702752303,0.6659041779825179,1.1203735377989046,0.6568756960034833,0.8960702051487551,0.8427867189156526,0.6384747404482743,0.5806044689156277,0.4400400164163108,0.47656291665252976,0.6288121179591172,0.40234220185638786,0.39613443296436096,0.4937098002531802,0.3904699275358365,0.4538104560196582,0.38063949389049306,0.3889411783331481,0.4573099066051209,0.48729214065716164,0.5165822555850565,0.4795129321188973,0.5606740205536915,0.5556981721873794,0.58743758940762,0.622516762215543,0.6694644259782113,0.8318643097770417,0.8415062057572977,0.7545464258140518,0.9949217901754609,0.6828651833125281,0.6101462335205932,0.6152446456501074,0.5657163661712071,1.9995245519354958,0.8705272046286537,1.6554806002553175,0.7033177561596441,0.7298346090532316,0.7750568302419374,0.8163851453149747,0.5988301329336617,0.5493755933729924,0.6547169711682416,0.6691152756200152,0.6422474998600449,0.5183170888011072,0.9941694922476487,0.5301491720786464,0.6211919096196293,0.8960747673583626,0.5091964458617357,0.5040246774362273,0.6222853381736966,0.7532071397733358,0.874683907529378,0.945925654628447,0.9772497356180765,0.7912725801478373,0.7305796494568516,0.9564619946532228,0.8003889718443011,0.6452536462269646,0.7628516012598101,0.8035868096187168,0.6714259566306403,0.7123315231433466,0.8410363443102116,0.8417915554108466,0.6837754858332975,0.7126546467525514,0.6469997231815874,0.6457371231080624,0.6149689541499782,0.6089642473948182,0.5932244929194809,0.52776238593991,0.5194060270365597,0.49597871217443273,0.5365351037294055,0.4605131224547276,0.4957030005664109,0.6141498920356995,0.5866412278755478,0.5009628661434551,0.5603490905187384,0.7471790202224068,0.7479724841294261,0.7210364907182032,0.8274613158465576,1.0977792555079355,0.8718961057128306,0.7188325561579908,0.6337496088570315,0.5845259267524137,0.8244786294095504,0.6561108450444046,0.6270117830570533,0.7051687267958558,0.506676644904394,0.4178829568970633,0.38406873603766634,0.3503679099354106,0.41174815503976536,0.4955596324571032,0.8057567490115266,1.3443689265549472,0.8010473324730174,0.7689356093331374,1.1410613139466455,0.9321633098491965,0.6585117233147177,1.1733870481309705,2.093538390406624,3.9757579172358386,5.563945864059574,6.559172883067065],[0.586630800860429,0.44024587685297284,0.47902350162545315,0.48417877487428085,0.3780506851144505,0.4167270910385447,0.315840010459043,0.3531548983929876,0.29986000672166657,0.30043396689179624,0.3640770065149998,0.4242210853397536,0.3931249851755801,0.48612072581160315,0.712239811469888,0.6035882362383631,0.6312227838734165,0.7273227613858555,0.8344973784432418,0.7742672923329399,0.8278687169729783,0.824761190920045,0.9035851241304563,1.0137036562284594,0.8925394147912132,0.8461806324466441,0.6973322069784791,0.6417916204938783,0.6528396999667383,0.6047804228329503,0.6925775822736155,0.5455495409538063,0.6701060426821319,0.6500800985297631,0.6289138129742421,0.6580812540180648,0.5805201516868955,0.6474106663513436,0.6120430661902141,0.645760309846188,0.6816296074892918,0.7153432116878103,0.7312811687846658,0.7891215327185684,0.9779232511690529,1.454725296944606,1.2989620025087851,0.9797193883846962,1.335219090360009,1.136959889335191,1.2225724898411467,1.5386014487487536,0.9436574878716513,1.0146830236175133,1.5407303454620203,0.8535440029423788,0.9492737618777369,0.9570832393583895,0.9481099270447017,1.2069028544621483,0.9103885284276237,0.9037248715347601,0.8700536082356626,1.1312313652222505,0.9036873098219481,0.8522495215654065,0.9976801329493247,0.8581269053807545,1.0118595320147075,0.9521707564246448,1.1921675273224197,1.3703328426183576,1.1252284725796302,1.11929627756211,0.8727078059534582,1.4749146660892265,0.8162036352868774,0.7740697296739044,0.7115117971931507,0.7566686686650913,0.6947421897780616,0.7026133534901045,1.0734842286477357,0.7189357239184182,0.8156432661600478,0.6538237378512964,0.6627897830006728,0.6709186629845196,0.6877836831450629,0.7268496261256128,0.7486271366170547,0.8649064165529812,0.7710708995134227,0.6732283035979219,0.6533982590177909,0.7076599024375786,0.7099131370085042,0.5669588973875391,0.49531497945603553,0.7111601961774164,0.5169057743965969,0.5456077570408168,0.47447700183998426,0.486809394901897,0.5911106019656045,0.500685655242551,0.6838214390164773,0.42869562346110085,0.49222549383905106,0.6462328535572867,0.43097707868659657,0.3423925112382917,0.33468193082880565,0.38764104365292307,0.5279186788325535,0.5096807561551281,0.5864718977443533,0.560245623526708,0.7187119672667769,0.7202013647257542,0.6662946704730055,0.6219447430679034,0.4886639918797788,0.4589526114492425,0.3504621596409578,0.34035965879888685,0.4704265617234242,0.4102274733417714,0.386469585716917,0.42433873018448637,0.4508294527607113,0.43670027491018615,0.3890185096580366,0.5418608055680322,0.42424631967285553,0.4041419119262986,0.6574029826631712,0.4204515780301455,0.5370125646972177,0.42795072966756315,0.5914288925474132,0.6347068335487436,0.6147289870392963,0.5389722702040491,0.5381253365175314,0.5472240403481584,0.45614778483533086,0.4727882561448941,0.4012713570641274,0.3596175604942815,0.4526625373810121,0.5497179832907136,0.7660253084679343,1.560472135678849,1.136792443724255,0.5581135160853437,0.4253877704964671,0.4333274357631988,0.44725712402123036,0.4024976500634385,0.46231144769879945,0.4928316392776922,0.450077956052493,0.5083790978399445,0.5969014650665907,0.5628086758919212,0.47936366170277694,0.5667501356307043,0.7321919525469662,0.7901511773225199,0.575697499496427,0.389810458010208,0.4578554500504985,0.4433925149038013,0.4387327078566896,0.4931126008282945,0.49771414922145135,0.7337235658126402,0.4992408388298731,0.561197618669005,0.5637050648268417,0.4119737015382636,0.42061561316305524,0.4490763790037559,0.499799130906048,0.5795598093277269,0.5598273159963992,0.797366963185712,1.18766186730638,0.7603174316502049,0.9610828280458497,0.8794829056985952,0.6633676284773343,0.6066602508755466,0.4783346297257696,0.5016794675010883,0.6475858898110145,0.4478499184606782,0.4552734214680042,0.5443244226007331,0.4790822629936918,0.5359552707769965,0.46477811610392306,0.48969814478386425,0.5839522178129762,0.6085390541314292,0.5929193524164709,0.6097055007522367,0.7134020383647284,0.6922161482161047,0.7276658814393527,0.7984023597082897,0.8400481598424768,0.9380009327354121,0.9735793469786567,0.8733387589928185,1.128363336066276,0.8047759793023073,0.7332753087989173,0.768284855185721,0.7031317239795928,2.0116885737728247,0.9787004718131418,1.7528289816118356,0.8082655363291715,0.8246727006821789,0.8614320452081763,0.891470567007658,0.6852762744418055,0.6343026231151163,0.7366045325881927,0.7460981397169408,0.7222827822930615,0.5939998107226886,1.026828380792398,0.5830314051525598,0.6558130414677192,0.9087955353943862,0.5599658544543962,0.5598627252851496,0.6837796460905551,0.8333677858401973,0.9353649695570136,1.0094046716935088,1.0310634218574841,0.8544807774790543,0.8352954206392954,1.0581421062495688,0.8792259656579858,0.7644564432665684,0.8964238451552787,0.9390920976687961,0.8245909632305045,0.8813253984005641,1.0153902990355976,0.9734317307527515,0.8660618748668353,0.9029009008772299,0.8230057170057703,0.8153005621317365,0.7631445174864065,0.744580458914571,0.7525489574846412,0.6691068572074543,0.6412418189832134,0.6190806407921551,0.6553782310918915,0.5647782786542319,0.5845750329593105,0.7189348526422703,0.6814570762242532,0.5712612386129968,0.6319377117870114,0.8297164114675829,0.8147574659109096,0.7917456525405197,0.8837752431730405,1.120483120113318,0.9820485303744856,0.8036772745406743,0.7289601456474457,0.6760509525676445,0.8665967789735461,0.7147379650654964,0.6913190281127951,0.7546383571478575,0.566881500699479,0.4730462961319563,0.4495584506744484,0.41189598907401725,0.47051248354617986,0.6011867473002682,0.947961092207201,1.4026506971845003,0.8794836190332379,0.9167100634989825,1.302550543602536,0.9974258852188946,0.7964406710992472,1.415768666824941,2.221106717917658,3.9876119296140313,5.579256638179741,6.78880256977403],[0.5650110845783768,0.4088251773566105,0.4566549455928861,0.483318682712605,0.3655168241037148,0.3889310744595677,0.2869416523948389,0.28908861367931976,0.24447890276957038,0.23835817084419886,0.3014886520158301,0.39358615182589457,0.32275469719289884,0.37760286975853896,0.608676822478765,0.516893026591993,0.5329430131610592,0.623645286132778,0.7260820554185763,0.6703900772580138,0.7385086820445312,0.7387017018176026,0.806697714580358,0.9305904863415514,0.8244339327522147,0.7523112013813158,0.5968387163532888,0.5383456932409302,0.557496257010963,0.5284343925906997,0.6158541522078151,0.4875882900726468,0.6381523875320145,0.6098951607544256,0.5649908962157361,0.578280801813306,0.5119215183876131,0.5572419791793923,0.5271471014062031,0.5599934273733539,0.6161654685808449,0.6214266801980561,0.638531002820112,0.7202287658945531,0.9741164099665989,1.5036034887542258,1.3598305467720562,0.9163637863907892,1.3098259581216032,1.1185353832144094,1.1137990341693376,1.5637302334021381,0.8745013621718736,0.9764361863448469,1.4682721504778797,0.7624144395398176,0.8666772404450008,0.8976334981420129,0.8515392908185567,1.1539421887949453,0.8279143774812859,0.8134355737868588,0.7962605001382395,1.0423568818759297,0.8125329088596369,0.7614801019332631,0.9221394172075759,0.7569629100875389,0.9410589877142951,0.8423888851940935,1.1094639938263366,1.315168846495645,1.0279669307892578,1.067922523814043,0.7807401273858882,1.4503059735768589,0.7347391808779941,0.7075213175974899,0.6387164805305836,0.6868335455351497,0.6271780958006805,0.6293673814274556,1.0493259568950382,0.6411533535133016,0.7697044704306598,0.5829167152658344,0.5804723330460361,0.6166391301201117,0.6079409339693045,0.6733624486535458,0.6745851034000888,0.8284373306154321,0.7256227798155626,0.6443479142471858,0.600162192127435,0.6760823351897425,0.656522334550867,0.5410538908139931,0.4731385662083821,0.6819946801934806,0.48800416604914193,0.5142103589114337,0.43960107014908745,0.443089545975614,0.5351102426683245,0.4587967557522725,0.6591416971545883,0.37939424168336083,0.4425564523677534,0.6127603347995075,0.37408451112261054,0.2987720297456464,0.2853508414368886,0.3416445353166597,0.45251415158963404,0.42630673878415337,0.4894156928092617,0.4605956825737715,0.6228778959627129,0.6155199513855201,0.5573951533664019,0.5362041229392439,0.4274012169522795,0.4020847102041979,0.3274164395258948,0.3240216641229486,0.4355629993047281,0.3759822122012989,0.3306159984536172,0.3906882633908503,0.43486641409685156,0.4101593298940941,0.37217946176001554,0.5055007428988281,0.42432097297171806,0.42375670759178563,0.6709967512711713,0.3932621421132609,0.4947575504028572,0.3758417154339304,0.5034898248284292,0.5622921697537013,0.533350851785439,0.44833162572157487,0.45107709332154955,0.47194708161518345,0.3838253592331669,0.4089625278330158,0.339742164467586,0.30626398469063437,0.40783910778555466,0.4922240618594188,0.732357450619187,1.545051454260499,1.0843934376847375,0.5020551296561337,0.38478460215628185,0.38854699587748814,0.39407751253982526,0.36104043741729375,0.40112504125878834,0.4291529694637392,0.37911261954389186,0.4358139680411982,0.5182097545171188,0.5217526237008918,0.47347128117846876,0.6216065163886867,0.7989642417635374,0.8378624619497977,0.6011073908204171,0.3646851311154754,0.4154841914532792,0.3972518738043111,0.3869543556807653,0.448881547002861,0.45563294972965473,0.7060974532345475,0.44964014883151915,0.5216261312018331,0.5579695542916686,0.3651279592792017,0.3738857863305578,0.40928860225283953,0.4550342180184531,0.5235097756617708,0.48943306623565586,0.7321641432528339,1.1609879269978178,0.7224457201069474,0.9712161068676411,0.8783292571970213,0.6818169031574782,0.6297550791105907,0.4682291113610545,0.519980390045912,0.6609682299519237,0.4374639688596451,0.45039952569663066,0.5239563493091466,0.43562546358297,0.4754518675033375,0.41781302893830613,0.4566051005829767,0.5161348145606037,0.54003074032145,0.5650535971657268,0.5650222113413255,0.630662249301544,0.6362146825280669,0.7014782980782199,0.7493076394275221,0.775688900863197,0.9040771379459124,0.9678883461871531,0.8757592763343666,1.087633209238497,0.8100906768147975,0.7175113052653499,0.7319058130534755,0.6795186137976112,1.9453924826453104,0.9710761731948387,1.701699824016716,0.7214767668442758,0.7394620134282649,0.7873915393520011,0.8306771130937383,0.6353834916106506,0.5911721398516623,0.698890953924731,0.7152624458702103,0.7295530586777723,0.5936806361432466,0.9939586833748091,0.5992463956226691,0.6705324908591753,0.9346807195072329,0.570800856425311,0.532817884016766,0.6390850261527756,0.764305294361893,0.8712391697628535,0.9368646775726294,0.9523669499839349,0.7924549046211393,0.7502848025813196,0.9931977696183261,0.8137580903205743,0.6851680223558229,0.814283678877615,0.8617270232505099,0.7421103258174531,0.7945842285982521,0.9342714487052399,0.9018858285407702,0.7788134843504567,0.8149108159404652,0.7448392767673195,0.7191277740545474,0.6675498023707899,0.6478503247990149,0.6673608035853146,0.5965005742358036,0.581546074827183,0.5697068945404711,0.6106418518710478,0.5308450946558002,0.554864696523039,0.7084516252418219,0.6669820261091175,0.5672246342653866,0.6171436693724373,0.8832360095181485,0.8436094904783655,0.8120974744416316,0.9278551143875203,1.1358958619303654,1.0321495557327778,0.8385151299380079,0.7315632349732363,0.6725313632667866,0.8840478882063189,0.7497517937025,0.7451476540834069,0.8079133098875664,0.591959814017528,0.4786875878242894,0.4330941256516708,0.38477538713339043,0.41854884740407905,0.5672342088774027,0.8985147805393209,1.3946266815975417,0.8327704505194645,0.8668849952476148,1.2099719508017104,0.9479055746019169,0.7650201913495186,1.3875943437081315,1.9951930780372151,3.65957727290957,5.037387780047344,6.197578332518047],[0.6009371971859536,0.42824315413113306,0.4737195134943122,0.5038855701137286,0.35542181675217827,0.42302006302468337,0.31317326163751164,0.3677615188926895,0.32816442963236253,0.3206173088268388,0.3710338714018236,0.4861251253982665,0.37045511344673854,0.3675495052133398,0.5984327947077894,0.4958398138118919,0.47765388912186935,0.5572325887650103,0.6218529076694738,0.5849843969962351,0.6224191846008309,0.6391810043381514,0.7008735683130687,0.8470604104094425,0.7823851266634304,0.6738993446031883,0.51194745845732,0.48014920945071465,0.5032251705638858,0.5005014392379459,0.5715759125775005,0.5355287447272981,0.6227968710958957,0.584207939272699,0.5507593065121367,0.5341992172695714,0.5123488344052333,0.4981945134810183,0.4714044731335234,0.49759513080644124,0.5666277855495294,0.5552286445711525,0.5549754550575707,0.648423706694118,0.9233497999082257,1.5136209158218599,1.3349247759589984,0.8449486148069064,1.2788821213047141,1.0742764372807343,1.022829594214125,1.4336926837850859,0.820115864941338,0.871962434839982,1.4328022109869183,0.7202971066507297,0.8555591519570496,0.7944216703177209,0.808981792345109,1.0997948013743784,0.7815483138264608,0.7338051316292135,0.7164327722749477,0.9147028839184412,0.6963713569299024,0.665171768604026,0.8248294210233187,0.6718632399998472,0.8417645733935559,0.7608596968833619,1.037864312512954,1.2350580244068359,0.9684251856077695,0.9530145415027359,0.7124962568935428,1.3223031366678595,0.6573997805087429,0.6450480515821376,0.5934298759477983,0.6353329189888085,0.6127642429747467,0.6234500438597532,1.023643982795746,0.6214788299594677,0.6808808911504918,0.5533011933794825,0.524731153102934,0.5883261433418029,0.5500505671700082,0.6447827392106525,0.6209450889304374,0.7477075008845967,0.6779131265347261,0.6136226037093281,0.578520803859003,0.664283727095004,0.6503530658874473,0.5756764962932102,0.5347416564355711,0.711299507440054,0.5576884217730893,0.5631147066431097,0.46757165966810377,0.48680951366308856,0.5751955617709923,0.5103865937164255,0.7302762678261314,0.45193956709304406,0.5081603436704498,0.6527524543504722,0.44303201612953236,0.360309999609162,0.3394720146284267,0.37668417766155,0.42468908914499576,0.39077064902223346,0.45881613612701067,0.38932761845645436,0.5391894853725033,0.558402296408822,0.48175096258975536,0.4558197863081165,0.3809655304850767,0.39334921849148896,0.3587304220976156,0.34621412411161273,0.4387260911008029,0.40220090077008525,0.37403020596467434,0.4567064102518021,0.48537304413946364,0.4920080083658715,0.43656996976626844,0.5840065110576813,0.4977675710004421,0.5099920758737586,0.7354543780898408,0.4292184336736967,0.5061615921616398,0.37361753917187707,0.475827518369071,0.48421119140155017,0.4768094191220087,0.39520369095000457,0.4102404917428945,0.45077867483841916,0.370541058708223,0.440849461262348,0.37660467367561334,0.37256850124396973,0.4791702731974782,0.5093081846578146,0.8048734677696688,1.541324216452639,1.0306011405046305,0.5417971044061864,0.4608989076342379,0.46645282164703433,0.45423731134684886,0.4117099460284751,0.4188922952182973,0.4108667190517399,0.370525757222298,0.4079419491924298,0.49952525858436075,0.5220808754144914,0.509552413608469,0.6756101978173424,0.901841538932433,0.9142694012263656,0.6662590304044393,0.39715725137014896,0.4347486141253028,0.4477433784605816,0.411000127040057,0.4824398429827831,0.4796941526702589,0.7314186891193178,0.461854949970414,0.568229028950678,0.5937637380542267,0.4248333358570634,0.4244128866322591,0.44643838150324194,0.48585038664846697,0.4979621399413689,0.46332383938558014,0.695498392417553,1.170257546241721,0.7246785451228795,0.9599099880979017,0.8807004991241011,0.7208869198456933,0.6774020531709938,0.535017180448371,0.5507104630125219,0.6770757054361503,0.5088484735143839,0.4934284430803328,0.560411407928466,0.5042443462251942,0.539005917196136,0.47181700213913125,0.5298587919923418,0.5910297938759436,0.5998223552127384,0.6173564506181891,0.6312885046788869,0.694942022990843,0.6840881064715333,0.744798666006952,0.7933823932931808,0.8073209518088764,0.9359095269146782,0.9873392207968765,0.8903638161967006,1.1340032556334179,0.860024649941601,0.7676581781745908,0.787736251960116,0.7597932067498255,2.015843319176906,1.0527973477797736,1.746537293786464,0.7932181814138742,0.8208954107337174,0.8451813362076478,0.8624088628854532,0.7188548716260761,0.6569105397901704,0.7322968764698456,0.7329634141348487,0.7865243313743008,0.6507926816369894,1.025399677811447,0.6462307460106149,0.7118298045619447,0.9476818011054805,0.6191044823217343,0.5611013977621345,0.6741003442108863,0.7870638455011564,0.8917833017501138,0.977027741859261,0.9772362109132504,0.8305297957850761,0.8010182349829668,1.0367765962328372,0.8487035036474667,0.7547800471437481,0.8843561492441431,0.9274266686271339,0.8053789039451366,0.8527879178354448,0.9783309142610536,0.9406546946538102,0.8147833677625923,0.8509484592366174,0.8013647641393447,0.7758537500739956,0.7393099802471568,0.7183498169251787,0.7403424347832748,0.6676755227029019,0.649944753643389,0.6470251492199204,0.677512769165557,0.6048131170896841,0.6326599803568966,0.7474356156646355,0.7223157941783512,0.6150591328728271,0.6738657902489464,0.8764379112873889,0.8533766451302156,0.8396715836632899,0.8818618192850067,1.0918095497237637,1.060854222128839,0.8509818736337234,0.7709187210116661,0.7045480524180435,0.8719351657072127,0.7726827287560947,0.7697255274698981,0.8416108078403225,0.6319858621382478,0.5116253865073956,0.47108424478260663,0.40754588397407265,0.4637361027528879,0.6280988914817571,0.9434368389579193,1.3792613462055237,0.8528369730819023,0.9139316996630867,1.2084173782785013,0.9383315953883736,0.7703641366540662,1.4264529759647182,1.9742754508374458,3.566002651250096,4.848191533561548,5.959886126906672],[0.6056075872323573,0.43632496435130297,0.5151275366413615,0.48696363504094053,0.34984401966182016,0.43134192629357465,0.3058793700616086,0.3736991024652465,0.3331930228173175,0.3457516704089942,0.4335193052150223,0.5525344357950904,0.4449808685799422,0.4437906725106243,0.73048300836956,0.625509388933763,0.5810177554410091,0.678424221341082,0.7391536905713907,0.7022742168208526,0.7426017453595644,0.7492233242199187,0.8059657418959209,0.9348577501544942,0.823950830527329,0.751325027997011,0.5966026803680708,0.5666585691835642,0.6187931208192077,0.619785810065029,0.7355897006624198,0.666243352470379,0.8024555066120526,0.7693015133231128,0.7109479788944126,0.6806975674111012,0.63713570857123,0.6184508483805895,0.5567592151543034,0.6028910587623932,0.6214423288346352,0.6467556565475971,0.6585323380094221,0.7117415203709729,0.9100555746700051,1.4554010846410559,1.267716876321273,0.8953098219052134,1.2990478958315546,1.0952253738358222,1.1185308065464605,1.4262227073772735,0.8744033540369759,0.8971758483718634,1.5452004568130906,0.8511916845807181,0.958897694555545,0.9228755143491991,0.9613674843821994,1.1832831926139173,0.8735043167827979,0.8958745708470381,0.8868795448530034,1.111055858806285,0.8457727145764384,0.825960785552924,0.944687690536013,0.8154695381797065,0.9527792848399822,0.9036331952001767,1.1404468618719872,1.362488905911338,1.1175710172977749,1.104591170823798,0.8747952888699246,1.5108305451011135,0.8306246186939976,0.8435718983415345,0.7663374479357377,0.7905372199450893,0.7552226421465963,0.7298377226312037,1.057642707186652,0.7460929093634506,0.7508823970634454,0.6613126378135236,0.6504448078410936,0.7190798390534077,0.7055198477029988,0.8093811070978731,0.8070552625272549,0.9357204091487551,0.8680822088129629,0.8160043990408103,0.75824557344879,0.8656744682674509,0.8054043153831029,0.7329241218994841,0.6702640172378598,0.8336667641019542,0.6711237917543792,0.6575803501892951,0.5576042132722828,0.5772688700537663,0.6721918372925713,0.5609316433208313,0.7893351458916416,0.4897197608564988,0.5419362697521811,0.6781364151205946,0.4652631176660531,0.3700231524731266,0.3392576860263154,0.3778601892901346,0.4589939737184691,0.42025293924420665,0.5043163804302903,0.4399164756383508,0.6097303642991356,0.6326896939746336,0.5598617218733924,0.5193269140877361,0.3983488828320207,0.4052987694145319,0.35519399903614457,0.3253169060441684,0.4258013657630179,0.39645827499025466,0.3835777087021033,0.4809072607958875,0.4869512549710454,0.5190173011516315,0.4519704643545321,0.6247848808383433,0.4953280836268696,0.49468013853173903,0.7242144233416015,0.41253916097848814,0.4946267548872101,0.3699381116746433,0.4989352898651377,0.5180358223573538,0.5212233802594447,0.43533126837103436,0.46522288218925506,0.5121173188181588,0.41467479790930367,0.4827224486843612,0.42821998714227105,0.4168982852974391,0.5102097959266718,0.5491186855643517,0.909507229758035,1.579369683680878,1.0223766993380135,0.6333641263920278,0.5518027271906641,0.5368861893217508,0.5446670339940902,0.4806561209199347,0.45648696795748717,0.478779694898428,0.39816130838493075,0.4622652120830292,0.5329898671591065,0.5219112307253827,0.49164258757550355,0.6425658278961897,0.8770573826752533,0.8939614419636067,0.6436165486372785,0.3839492427032254,0.4574751060802749,0.4859299434481424,0.46850321846098364,0.5325759750066641,0.5582417459005582,0.7956657531138628,0.5303492527031657,0.626458802573075,0.6040968911369936,0.4771327026314199,0.45790858976937787,0.4665948455626034,0.507320776272645,0.5523731034839309,0.5254537359576279,0.7483832494957877,1.1812625200881306,0.7467314741463821,0.9330962136970244,0.8649508461538994,0.6990347497062036,0.6633331638368737,0.5303805677544673,0.5477533603038227,0.6954619534393506,0.5102944883838677,0.505900371379417,0.5603939939289836,0.5431730020325807,0.5792178374861359,0.5045963805527512,0.5844182034034654,0.6642406940227727,0.6611780176912663,0.6742603595817042,0.7197996457948717,0.7878779608430935,0.7736953814979516,0.850306745399795,0.925642416239126,0.9279930152743968,1.0320555734010062,1.1004443636785575,1.0006683775262823,1.2550004535662718,0.9803293267941089,0.8849793596122868,0.9154310525569296,0.8738568834274447,2.0620582830388767,1.1491483949302872,1.8682798111398173,0.8900376040625179,0.9135025222131661,0.9132819000545825,0.9483642612202448,0.8019293828801815,0.7461606684614617,0.7888762527319841,0.7873351807756802,0.8673542979393394,0.7004787386448392,1.0282466162519066,0.6661222149120494,0.724746273116012,0.9270879523339031,0.64519638730592,0.5689695586817433,0.6964264886087942,0.8298991880459199,0.919759130776195,1.0471376056753352,1.0051519686569748,0.863324787514697,0.8860612435699793,1.119058886305996,0.8990514414310452,0.818745797395725,0.9529340439758333,0.9822829141113546,0.8779559968110008,0.9524965207557179,1.0798904830590246,1.0168341336329032,0.9432405370588277,0.9839594124938289,0.9279778668832667,0.8910296590788015,0.8279847813746631,0.8142429086590082,0.8596862426884685,0.7706454082910361,0.74210697320687,0.7534714101917256,0.7779600231111389,0.6877036598944565,0.726619552129125,0.8331027356448888,0.803223056295674,0.6782071162380741,0.7439312072720013,0.9407624841809822,0.9182856772247306,0.9213739682546365,0.9449270719967029,1.1382686816325096,1.1711019017202497,0.9442639417546578,0.8652013280368691,0.7915856061597947,0.9261323928225297,0.8454964047228136,0.8416719676517871,0.8918753211346252,0.6821378788116845,0.5436777741443944,0.48783586086183395,0.4121645867103532,0.48250574267062657,0.6523944164583538,1.003374505654793,1.3759701544742513,0.8459585959108354,0.9875628667950768,1.2651134214705095,0.8723691569070351,0.7750206010841315,1.546130495722956,2.0197311509374813,3.4562494316207304,4.817166345274531,6.2091415422867],[0.6856122189372152,0.514964259138893,0.6273230402946666,0.51674013254998,0.410498975531085,0.4865559111420185,0.35054920952294727,0.43890855343676954,0.3745727476878452,0.3740754630037965,0.461834551915952,0.591407443293228,0.47785120249181984,0.4527002712496391,0.7789257511510107,0.6747759331991283,0.5963375034084377,0.6942683389554364,0.7262286549672607,0.7108517728751477,0.7421824855487843,0.750192919693767,0.7996567828076958,0.9225347966273252,0.780399975268306,0.7174052049858958,0.5869704395107628,0.5705455304652376,0.6467708535631712,0.6661690940065896,0.7798376416721037,0.7507309888003888,0.8708676261903455,0.8550697267490158,0.7848846795696132,0.7279536982862513,0.7132310972046813,0.6643077105351141,0.5794299462297787,0.6536908031043464,0.6471741172117234,0.6457639898867784,0.6706052811451902,0.7166012843440658,0.8875769164283449,1.4583817339742564,1.2229968251061707,0.8937837996852045,1.29694053670552,1.0748596812729971,1.111005694863206,1.3848370779171846,0.947512067811068,0.8999076162463977,1.603312913469703,0.9320667783238215,1.025747274666005,0.9544909236959673,1.0208483431446047,1.1702358468658136,0.8764047946992547,0.9413393807219942,0.924417922054308,1.1596439672620193,0.8540294777635776,0.8396664440252571,0.936751790813578,0.8329111005664027,0.9402949188511381,0.9142224469102067,1.1496587036795871,1.368996016440787,1.1456231039635378,1.0967366905510574,0.9149215901322005,1.5244723883459725,0.8799111001785322,0.9064719431722136,0.8273216310055519,0.8491377394868821,0.8244537325414845,0.7945877552202367,1.1005689263659593,0.8096624512859509,0.7758425805461321,0.7404831164412019,0.7089351153481745,0.7846339334748142,0.7531492596173829,0.8764489411425764,0.8699313483040415,0.9853741391738164,0.9433208058012769,0.9173871835252552,0.835777037108351,0.9648283191331273,0.8752182609201439,0.8280740813871227,0.7859206419841213,0.9234235299100509,0.7812275408648418,0.7758035992349533,0.6495414092508285,0.6879732705940894,0.7717608519697441,0.6631478774363434,0.8836921186401316,0.6405433703860923,0.6941833354786374,0.7409780707884648,0.6046030123068384,0.472603599186541,0.4017729436892402,0.4208148640822376,0.48388547949030253,0.42204318988278816,0.5157844721690175,0.4278272255405185,0.5895792202679581,0.6171375580768403,0.5477624498990722,0.49671081324545363,0.3869299029016154,0.3942521196661166,0.3658293066364585,0.3450373626892576,0.48543212014416287,0.4726156611376007,0.5085746147786785,0.5651093453414096,0.5568575874317784,0.6092200328904384,0.5386480728802523,0.7243563591333266,0.5410551727417557,0.5324809188615908,0.7880817715198358,0.46967062666963416,0.5398885856571936,0.40213296610945853,0.5044322812572873,0.49999585119265116,0.5142268392438321,0.4447335498850921,0.47662408037038645,0.5386135328885849,0.44806809243266343,0.5366969312994042,0.48868011389635474,0.4884320642374096,0.5649502627913139,0.5940099177878543,0.9848862561968288,1.4629710101544744,0.9197955565978179,0.7372136546522984,0.6517344166342717,0.6270475558950938,0.6207464542619004,0.5615342185895157,0.5102981601956785,0.5322764502857372,0.4277009729368482,0.5090266678209995,0.6220114097758518,0.5612976550033077,0.5108932177989141,0.663106958590339,0.9052845187203009,0.914085607677325,0.663239138830556,0.4218398607362528,0.5301353236020571,0.5476976940631911,0.5349987127720837,0.6109498114134638,0.6224132578605254,0.8757791263646003,0.6034006590466399,0.6953610820325759,0.6250131886298373,0.5577289581619911,0.5496376744405501,0.5434473451785402,0.5667881797092605,0.5838563609695979,0.5535805329753987,0.7680186075158181,1.1717890568387568,0.7549058782186818,0.8654535226621948,0.8130101991018582,0.6799864737920374,0.6601363331540838,0.581957147889447,0.6236115553945177,0.7619011612936554,0.6101473503676595,0.6224010796760227,0.6013137461220364,0.6817826675411777,0.6928952144590896,0.6154248341694223,0.7283844348466482,0.8267815020478927,0.7986487864428996,0.806007252547263,0.892386615449683,0.9547949745519002,0.9358975629400571,1.0333900455055633,1.1270627403769526,1.1040622766080104,1.2220722604620122,1.2967991014669447,1.173097300284195,1.4439865778381535,1.161649404982075,1.0766618477562282,1.1152337984697958,1.0779523111635778,2.214997834984141,1.2904602242735903,1.96558462488583,1.057586634451972,1.0796918308556795,1.0535400681373215,1.0941008093403022,0.988697214817409,0.9286792263214123,0.9434393698855001,0.9390440778481594,1.0287937607390762,0.8489442515608939,1.1319039337173515,0.7785469800526709,0.7885433673910273,0.8926745553363571,0.7325566885795306,0.6836850990944794,0.8140116455948537,0.9621586857726994,1.0017611211799584,1.1601574195883482,1.0740487791092281,0.9609818726979175,1.027099487604152,1.2164992425043275,1.001592196168767,0.9500963343506001,1.0821333051654374,1.0934805873124624,1.010619103985442,1.1033571064225325,1.2191153722271453,1.1458486802913803,1.1222087533981657,1.1676942028701531,1.1226809023813107,1.0724695537424636,0.9953464209890321,0.995721975951293,1.0507059426854786,0.9504877996423525,0.9112262654979594,0.9506085055026017,0.9698817148441538,0.8653318122257962,0.9266089709938392,0.9995897050658004,0.9623147369068078,0.8390828137601837,0.9301564458554771,1.0778947209355605,1.0564218692753715,1.0516444843764883,1.0568209583257058,1.2103075552578113,1.3074045131795624,1.0905241825655347,1.0143271638747338,0.9442299163610408,1.0232373424858763,0.9686488842824001,0.965018763787123,0.9856340828938028,0.8063387793139978,0.6705540789867989,0.5988784809706273,0.5114257268656642,0.6163664864762405,0.734092798504148,1.0629235708116858,1.3625563022206688,0.8770499076294109,1.0657997553911902,1.2672352071702098,0.8311745425804468,0.7743888561724945,1.5717567938874184,1.9165554538820422,3.1031005369222195,4.509391533265171,6.096940093698996],[0.6080189122455076,0.4506953895693866,0.6037126029358709,0.48077669186913885,0.39812006433466746,0.5063215757750308,0.3505207035850255,0.3974938146030166,0.3521046338394764,0.3407512975959211,0.4287065732006593,0.5599384354780559,0.4257952292174411,0.4213666125995052,0.7098659679751753,0.6051796276011796,0.5379947450451784,0.6477778358117102,0.7016890671869802,0.6619513878171558,0.7076059893986077,0.7116757139717172,0.7697580505676231,0.8734983482142152,0.7969077759647452,0.7043874325192132,0.5351831335919729,0.506826752201531,0.5798867347003422,0.597116828431556,0.7284313948633375,0.6912539260874415,0.827298129453214,0.8010690399446562,0.7238283139913959,0.6668159100747619,0.6335826290961367,0.5792505694261001,0.502197845789683,0.557546447926471,0.5924589518436628,0.5897641278825732,0.6083190139222765,0.6576120760370942,0.8964170590301164,1.4845015696524282,1.2987162133316026,0.8458515600769065,1.2596708647421766,1.0530658993757096,1.0302723330901513,1.3838588325604004,0.8674986275148631,0.8591839858754939,1.5614225961946324,0.8492790276763811,0.9465069527459835,0.9039789777867838,0.9616145782941892,1.1495027153430935,0.8401353138771422,0.8833996111210975,0.8827727521515778,1.1161005964068185,0.822755205080055,0.8004188359342974,0.9285961146616519,0.7975053028016067,0.9270553363363996,0.8881526300906559,1.1198242770091684,1.3515958507506454,1.131530689307474,1.1078483564087025,0.8713413308061659,1.4980249115713384,0.8340956242939667,0.8634169187707683,0.7740614832479388,0.7830083264445559,0.751532831533567,0.7250471343875378,1.0642066396977206,0.7092899836726809,0.699207583042286,0.6476710212685584,0.6292510902140699,0.7193130154476568,0.6961226533043766,0.8275784668796123,0.8198786652301059,0.9552021802704648,0.9006134222495695,0.8595241703992662,0.7758625193359147,0.9028923493760589,0.8057254151534214,0.7721346255938952,0.7253220887146852,0.8874749033141983,0.7238026867106659,0.7254015838570698,0.5914820812950735,0.6261464085547446,0.6856962501648365,0.5859474520418972,0.833001295055883,0.563395568821422,0.6317314669123786,0.692073744132159,0.5216379973441061,0.411002085610251,0.35373718434167534,0.36147680769410895,0.42197232854530153,0.37692420106217883,0.45885204706035604,0.3728478503833392,0.570052591932115,0.5919959885600422,0.5168593651224556,0.4725170068931902,0.3811764360138618,0.3592081447380869,0.32687016200869906,0.32551940392036854,0.4688047637345899,0.45058278870052815,0.44720871804731993,0.4977999564686135,0.5250829109033376,0.561801084621018,0.49011993226456513,0.6465059574749729,0.519100294745925,0.5344578878451135,0.7769105495153459,0.4270346657117438,0.47564170950677875,0.34644792149747916,0.44020329657602997,0.470705814797387,0.46176998292699784,0.38089293691498655,0.4082068330785384,0.46787718298557296,0.37750832353763897,0.4676621069956041,0.4140291421713361,0.4287843877227073,0.5297301549153642,0.5563850245331248,0.947127189388308,1.434808275240572,0.923346594296235,0.6959717009830279,0.5932504787724727,0.5777094591461709,0.5525913794559286,0.5008237626751343,0.43161401216439554,0.45937505046387267,0.3757083416714443,0.42133240308647163,0.5330807284776145,0.5382944852425342,0.529065480230108,0.7541851923372949,1.0131171166220856,0.9932418037896987,0.715265118855755,0.39373816496228753,0.47333530723264244,0.47869741156305456,0.4587026282043886,0.5356749301298164,0.5540407671299468,0.8190908228518977,0.5250930719890161,0.618787229769345,0.6122658754534319,0.4863312512125,0.4797900594136337,0.48205059799593775,0.5109685363676837,0.5159917250704187,0.4899348981596265,0.7068735175562569,1.1538710313897786,0.7270134714601288,0.9458622241726146,0.8182318613311635,0.6926516938821141,0.6681082483123997,0.5592156969607306,0.6098840730096836,0.7451104664427418,0.6021191626110205,0.597558497871427,0.5880668092923088,0.6364525186104463,0.6457567326681213,0.5717019602288296,0.6899889047542705,0.7760606716105707,0.745286004811238,0.7706504773448964,0.85582749441906,0.8933070040310562,0.8756088677860218,0.9906029511918185,1.0655264214349434,1.0263992494550958,1.1494912786838687,1.2486684628444198,1.171617706996236,1.3814282287584065,1.18343351409226,1.056303028475534,1.0845629289363983,1.0537835130067343,2.0733984151386413,1.3278209012565563,1.9497914027378538,0.9878821376999485,1.011758062113724,1.0025440153206904,1.042253267849042,0.9317361651270497,0.8825309275810489,0.8969738852982144,0.8988638752459952,1.0242535673287143,0.8298126824207865,1.0553505612756386,0.8006091048213473,0.8171654324602832,0.9255040561240024,0.708779410502673,0.6318595388509197,0.7580363841290679,0.9057997101484611,0.9703336840572171,1.150564549709868,1.0581903879593866,0.9308753937723911,0.9943522605422866,1.213026517269402,0.9958084394482108,0.9094443847929932,1.0473271927190588,1.069752984892542,0.9498247810626933,1.0558191404385942,1.1825185062869137,1.091415950384678,1.0534081534353905,1.1034191856970585,1.0538840089206083,1.0145836961490522,0.9455995978807585,0.9428289343849817,1.0058250406849019,0.9068454938088535,0.86940827637678,0.9083381137466983,0.931684816785253,0.829239515143769,0.8934244897370512,0.9890016652730873,0.9491090796925532,0.8269593802392643,0.8875336980128684,1.1382136222157335,1.07633275648239,1.0946865742350833,1.1259190158786125,1.2771496385528247,1.4177355594835428,1.161330344511205,1.0367595306974624,0.9596344937966571,1.1058041458081345,1.0464514216926921,1.0567059299217667,1.0409838057453125,0.8100828492778486,0.6445698702632552,0.5689001050036381,0.4655678280358752,0.5475555631991923,0.7461653845721113,1.062725473964626,1.430520697664455,0.7706801248572439,1.0385548065327015,1.1910438499805458,0.7598074072813922,0.7730848031802536,1.5737213783172337,1.6204388290714489,2.6510341633928967,3.8128807332264483,5.237460381998569],[0.6169370106736634,0.47670366114962487,0.6505654806007276,0.453423528792813,0.41838015044739385,0.5019404445306833,0.3530146854123902,0.4234178007805221,0.36799996762803344,0.35833020486874173,0.45452991680408295,0.6031544336895316,0.4736542700432036,0.4495510880730487,0.7829550902869955,0.6815216070945024,0.5827169449090479,0.7001483566180642,0.7457331572914143,0.7090762137483699,0.7476991790414447,0.7505855113982451,0.8078964066716352,0.9139153285097323,0.8111241936079793,0.7331924120342093,0.574120194099558,0.5536964722083897,0.6372689001532992,0.6703135592953116,0.8086809946605396,0.7747884153491413,0.9304774879324977,0.9155796392674862,0.8180655957530053,0.7464899961759959,0.7232593495689221,0.6579457308158945,0.5560795408805297,0.6393208116841033,0.6325383157268832,0.6417210394716644,0.6635893496989972,0.6996207627172643,0.8834443253810148,1.4677116679717541,1.2527452227210063,0.8803698387523626,1.2701563962641964,1.058632124237495,1.0890733576507134,1.364124053503597,0.9451929479149925,0.8977740988808321,1.6249102029459355,0.9328441802721718,1.0169149358490965,0.9621773547262443,1.0391395000788548,1.1858742565388998,0.8919311588384182,0.9822412687984714,0.9781648265130669,1.2141997373068927,0.8914825721547495,0.8666090636031565,0.9592206355677212,0.8527936431313128,0.9627601759244767,0.9367710819530483,1.165376509171629,1.4085460187208094,1.1865641682758068,1.1536153724685894,0.9505761580875158,1.5837606471906853,0.9261960132339888,0.9660969018870746,0.8723425514443613,0.8783505805938622,0.8625235403663257,0.8220671541227106,1.1405506532435814,0.7954007469604872,0.7856888238116246,0.7508516907951848,0.711704292386725,0.8037227915144723,0.7765361362978029,0.9227509014689758,0.9227990071204065,1.048256595446821,1.0020700617798652,0.973316851381817,0.8719921184028886,1.0092607884398512,0.893028993783527,0.8646281705140072,0.8143999110772071,0.9378901259362543,0.8129056340410833,0.7967733618680015,0.6685332027338533,0.7110217286244142,0.7830495221063106,0.660462893718631,0.9223417175846905,0.6267594486043754,0.6722030170471773,0.7219788398867236,0.5753049478241341,0.46139173224150337,0.38285086053755385,0.3923946949888485,0.44842098371689726,0.39362170315607237,0.49676815511551764,0.39426966897555027,0.5957989094861805,0.6194316368687295,0.5396591572749091,0.48843418194150184,0.3788491452914806,0.3553483549376168,0.32955155908528777,0.3310712095941479,0.5072998920214742,0.46884561833392696,0.4924136905336984,0.5467632339056641,0.551455534733291,0.6357980076710642,0.5259050439160258,0.7064955952081892,0.5254736562756435,0.5189991811895455,0.790899147360102,0.4481698431490251,0.49615286325537333,0.35724220250610866,0.44639980088782705,0.4648602144626996,0.47979336933751326,0.4093238596954473,0.45088519757143536,0.5129402427378238,0.4188926687202152,0.5034600278591967,0.4612159450288097,0.4688930308304485,0.5542023714916666,0.5794526916509481,1.0023374734658874,1.3503953900720738,0.8953036425444986,0.773931776066516,0.6719118935560153,0.649124059096472,0.6241490399480053,0.5694802586836307,0.47937501902764157,0.5046951452239677,0.4020437102999206,0.4802595485892389,0.6234287027367236,0.5370608263044203,0.4995646283038601,0.6921109550473392,0.9611091591732516,0.94016089009891,0.6719733167012351,0.4021011724766605,0.520939458503381,0.516197012267632,0.5205396317835634,0.6024529250585396,0.6242917022089282,0.9070684537476174,0.6191445683953979,0.7165705161342321,0.6011963230800429,0.5583963200381723,0.5451927609406815,0.5384837081037304,0.531238071707668,0.5607058679742839,0.5337560205698443,0.7500703379382226,1.1506477055679565,0.7274360934586558,0.8649110867042227,0.7784548968818403,0.6643763409595589,0.6523222231992074,0.5634486008039045,0.6473803798313337,0.7705685485668673,0.6520681184831854,0.6637931165259259,0.6375730081991022,0.7303151069548132,0.7510107302663854,0.6488451992147047,0.7609851532573921,0.8657651388530728,0.8218826422027605,0.8353727763632904,0.9424974448828112,0.9847744045131152,0.9525451404760845,1.0864653402806357,1.1755282454772304,1.1183832728851844,1.2337386946484956,1.3531035400271452,1.286966739821449,1.4859350728251322,1.2954024983769792,1.1602383597400276,1.206110462146498,1.1830644272226394,2.1959663074648987,1.4311520561225235,2.00630634641932,1.0955042436642644,1.1338151638990785,1.1139989450648315,1.174212246588572,1.0523173658575764,0.9908033680350162,1.004206256940712,0.9923364140902894,1.0999229284336889,0.9164544939310721,1.137045312639097,0.8786988160835436,0.8882632902256984,0.9437579751329,0.7996239728972248,0.7052508114937769,0.8356397882177714,0.999715680928518,1.067961901248159,1.2704041310552534,1.1627560944741437,1.0313720858185276,1.1178177492195747,1.330784432284874,1.0981755801541437,0.998584769823537,1.1473964255482751,1.1503436363853545,1.0331470851181936,1.1656406689308154,1.2855915103901092,1.1707987983510444,1.1637677504482515,1.2215331740988913,1.170343961025257,1.13518326875676,1.059163169617308,1.06600227281747,1.1296227996152433,1.0155407231886817,0.9788961445602568,1.0280506166716095,1.039469781323225,0.9201572020332398,1.0028944580742754,1.0850696141844205,1.0356707613388811,0.9067685422755101,0.9808537530811832,1.202316952792694,1.1398339498766028,1.1602383380386543,1.2056902055102332,1.3367838783595511,1.5154733941334424,1.248488644899844,1.1162076813925101,1.0353817513790335,1.171723584223488,1.099779497148754,1.1083278474145577,1.0571830691763193,0.8582854088113427,0.6794715746676863,0.6197007447728571,0.516769706404093,0.6069736969890203,0.8057392807637189,1.1195062787616314,1.4102103146694036,0.7353186257429176,1.0710410753034942,1.1847233082519513,0.7222458082546629,0.7487043999404602,1.5670503025817715,1.5062341304832174,2.371118896935939,3.590246876643239,5.1435556318465565],[0.6315576398651159,0.5153421157832077,0.671768074990146,0.4654733237588441,0.463470185275396,0.549757756312253,0.43960637620375786,0.5092506965339828,0.4510332952261357,0.43916103612741814,0.5146531309067017,0.6572629554209799,0.5291844600776302,0.5015716895335317,0.7939460541058557,0.7092281440301743,0.6127427509326163,0.7056476917778927,0.7560480319419157,0.7194431039686096,0.7611580056402774,0.7647296843429381,0.8222819959147706,0.9107776796126988,0.8599477188916539,0.7577628581160976,0.5989965592202651,0.5775556395852185,0.6595242764122371,0.6998901491393233,0.8101177703072852,0.8018136712700983,0.9433113956644998,0.9279098597187097,0.8330572089469511,0.7599401590267705,0.7546760574961002,0.6755431521494867,0.5853172148184418,0.6703313555349554,0.6624269584023474,0.6657480978723815,0.6835358016742648,0.7188302340310336,0.9507434690364798,1.5555008046874483,1.3552150592897148,0.8995874214319206,1.3138455549627552,1.098415943018168,1.0797467566720103,1.4241641739300994,0.9706324846707558,0.9397962538357629,1.6095452066998357,0.9154456900952916,0.9949754735781011,0.9659921409988539,1.0192357093506745,1.1970488417321443,0.9000019739025381,0.987390222198315,0.9778013498700024,1.2214272670418906,0.8995382807886732,0.8659381768668477,0.9605960288123617,0.8544116471514304,0.9867195511652164,0.9443185451005225,1.1492856590237581,1.4148431213174764,1.178905761332049,1.177115008874909,0.9512206637464684,1.607395416939562,0.9282371067072197,0.9798164169994932,0.8844129144019727,0.881897338533111,0.8823271620094599,0.8413757014619299,1.1828171515043022,0.8057312447368657,0.8398042549898214,0.7894161096147845,0.7390084574464031,0.830815363541137,0.7866684065274223,0.9387566171702089,0.9298528162849982,1.0558627386180852,1.0045323026044217,0.9766717302365072,0.8782445927460187,1.0041989483465492,0.8953940246874718,0.8865231417299765,0.8441129173004177,0.9871325103881875,0.8605443367621851,0.8623327321669222,0.7250557064487,0.7702304820233052,0.8191609967251529,0.7418163351668973,1.0016303231485861,0.7068157938320715,0.7540844127780552,0.7933563791368813,0.6563590594196549,0.5476067832299549,0.46786004993632585,0.4620724661381306,0.5209030127714156,0.46636064256465065,0.5516775355708504,0.4486530563473512,0.6283984853741874,0.6424744621908075,0.5779498313023226,0.5396917292458967,0.42927047041850963,0.4201061834777492,0.41239091271670814,0.41336033208805684,0.5597754229510137,0.5472889604572001,0.5660665450265241,0.6100144808375834,0.6099117598592197,0.6893722249206133,0.57912187432218,0.7474544378237593,0.5604637490925815,0.557201627337349,0.8366983543430382,0.5166159636723462,0.5520349150529986,0.4204490959366648,0.5048826052622695,0.5375324306384892,0.5437947437416286,0.4676919473045859,0.5003292876523622,0.5554411741502953,0.4808343935259537,0.5623518649941565,0.5237700904998841,0.5382696086418282,0.6325356560499106,0.6572594335902695,1.050190193958046,1.3571533186016216,0.9486139004980981,0.8321476767369109,0.7307147874590229,0.7152046301793472,0.6727829003194277,0.6338452459645934,0.544274230158932,0.5596282550585939,0.46046921955648445,0.533458256473345,0.6780806751718301,0.5649901299093049,0.5597600463400324,0.7747791643721135,1.0278140673649763,0.9916254652902171,0.7222768676686796,0.45680560566996864,0.5946204395471755,0.5504428553830256,0.5718886882450757,0.6650726069570229,0.6792381001806532,0.9574292143610267,0.6738717937752225,0.7707389300632024,0.6040645352638223,0.6156479047983888,0.5999472050284329,0.5937660656692455,0.5822469560605459,0.5821524468189044,0.556413811237085,0.7433630875513049,1.1489054697098924,0.7883732917274086,0.9173209144857833,0.7859183823425039,0.7009110748266076,0.6898561808677739,0.6094978811018619,0.7210794670403881,0.817073208811742,0.7321331513487248,0.7379868756943808,0.6912552070159689,0.8035724900068981,0.8214638304402336,0.7116891082283935,0.8210352139682835,0.9270602387933814,0.8770595962092743,0.8778464498636807,0.9961584205035339,1.036773100032946,0.977895323900552,1.1181070023599167,1.2083363695154559,1.1276424662650315,1.2309317532505335,1.3800017379316187,1.335309578064931,1.498907229447848,1.3576550762482835,1.222242122346934,1.2710445999764362,1.2640084416534094,2.201053606982998,1.5341846603070117,1.9927735176511245,1.1525432555219237,1.204299408673062,1.1874041165607652,1.2430867020881051,1.1451276565632382,1.0824865180172631,1.0905741745395385,1.0819512249430332,1.2034468755243406,1.0039299463851203,1.1583952277845706,0.9852303446783108,0.9403576385569371,0.9468809753613519,0.84906477233478,0.7810518676664682,0.9130502726648043,1.077342198413305,1.1429307067610852,1.3576808438366832,1.242599931823996,1.1065806726566452,1.2029878202782582,1.4112746861006302,1.1944997293731048,1.0656489368149398,1.2348237401696973,1.2394427458723392,1.0864538812840088,1.2425178020430339,1.363608273236131,1.2319936992650085,1.2127131558021857,1.2831741512689767,1.226479435823698,1.2077898867273231,1.1341559330162416,1.1472760423452664,1.2003470934496736,1.0771356752397216,1.0430783099050172,1.10107652617148,1.1035433824185814,0.9928996046216393,1.082267823120781,1.1655816856295764,1.0966785816174165,0.982247052774926,1.054785019893737,1.3076684101347391,1.2239026939322366,1.2324887627289962,1.3039943778642573,1.3988291702854185,1.617512664546248,1.3245586928153719,1.1685461374485118,1.076204202543265,1.2371126940451862,1.171735159578503,1.2004249869166321,1.1229126289388338,0.9215109642215144,0.7348065489126359,0.6802125292535156,0.5828260210784136,0.6545849876163989,0.8618079384659291,1.1263630352741505,1.4506274497911182,0.7180425340870957,1.0638951660240392,1.144617313490195,0.7345412314954533,0.7457890078588533,1.4855065407137975,1.2501726207502324,1.8695095882123458,3.042715647542538,4.370789462214531],[0.7979838961178596,0.7075225009551721,0.8799775037936503,0.640215827782519,0.6487122375434574,0.7026995405420244,0.5953425620523581,0.6599825736579031,0.6022941395823554,0.5561605893730514,0.6201950308852626,0.7759682876879737,0.6625732932405419,0.6026615517377184,0.9281509260837353,0.8586141212818872,0.7297607089454384,0.8471219155196584,0.8452660963527706,0.8458027364111002,0.8641775472712965,0.8574998807198488,0.9097092750541556,0.9886471344020138,0.8735935331434581,0.8031423330477031,0.7087895815771916,0.6969023909987075,0.7906976689878976,0.844483771463524,0.9794636988061667,0.9806959026533401,1.1430987800783128,1.129860003962386,1.0150652249081193,0.9269735238121345,0.9328252382163217,0.8386362336429696,0.7332302738706216,0.8403277687957236,0.80593119955516,0.763214550920952,0.8007477677285669,0.8297395385539528,0.9892673411798567,1.5623448111433023,1.3349354569996885,1.0070920290762397,1.3755548154959971,1.176681819969077,1.1942131838283114,1.4536428295430641,1.1157891655327783,1.0479576499706629,1.7383407361638492,1.0968746273902015,1.142000517754697,1.111258506934495,1.1957014615173283,1.2934357254766318,1.0043475079242261,1.1067362385048412,1.1119611216321001,1.3352693653059298,1.0170473126306785,0.9978377823459755,1.0658019427568042,0.9812048490296763,1.050947222289353,1.0313317486061995,1.2284063097338007,1.461499612393115,1.2982475842988914,1.2663908269445434,1.0928947432536045,1.6980114205467318,1.0919928573590387,1.155591476496536,1.0671552686350692,1.0724525155337226,1.0719114729874337,1.023004652090158,1.3073220285149787,1.0008804505946851,0.9834519051837904,0.9610619728678946,0.9021681694008784,0.9843578901252801,0.9612317117552445,1.1394585409640061,1.1077000146756668,1.239435518447719,1.2016545335455222,1.185278519955329,1.059315227647326,1.1809338385323527,1.0473506014489795,1.0685814925951664,1.0184288121298806,1.1439504266023588,1.017608416881042,1.0156236196933988,0.9006718142686075,0.9532669899832927,0.987247755155698,0.9045107736446101,1.1350400192691215,0.9133322130353813,0.9484040440157814,0.9366865870800282,0.8531257126383771,0.7363721406744385,0.6287631663533871,0.6017888600133152,0.6048342104202051,0.5355373177831676,0.6412832514351611,0.5249642692726139,0.6692339434807366,0.7136738762816575,0.6318012508931321,0.5866778494762372,0.5003088071078141,0.4984137546883344,0.5223426995264407,0.5485082348437983,0.7399374159484783,0.7231527260879198,0.7633883868142207,0.8065253053056883,0.800470931433569,0.8998039756860211,0.7821355997735586,0.930663480673409,0.7339945056889227,0.711060454450465,0.9585956444152195,0.6618190279262451,0.6569247225847437,0.5435161838714132,0.5684912572021101,0.5725344714168499,0.6015444862744834,0.5620199533903116,0.6231564424537352,0.6945096410736319,0.6074275710640333,0.6919282257684797,0.6846410477880481,0.6929872897957601,0.7901140837169359,0.8115116628595614,1.1966284205692572,1.3727716969244301,1.0632459797995033,1.0111715333917306,0.8796265941780462,0.879829566375645,0.839570040220916,0.8067559635730298,0.6964436542499922,0.718197793965164,0.6025318906939957,0.6933073955316612,0.8462113198661101,0.6832342837751663,0.6945330164255765,0.8408502041488406,1.0686864296375604,1.0450157522584775,0.8107838683972409,0.6099753898130496,0.7481423784473912,0.7294606685581458,0.7521997493887574,0.8502584289061916,0.8521226966798952,1.1379618894321986,0.8759913007915323,0.9448070400597869,0.7763033239657288,0.8075291299545994,0.7977009267118476,0.781942837327411,0.743470537541605,0.7492359630617221,0.7271142348268518,0.9272816559465094,1.207847673052654,0.8947753964240579,0.9540859785541558,0.8709821497088422,0.8344846951785097,0.8495592613774582,0.8041467093588894,0.9086570418276148,1.0015634107770384,0.941948091144104,0.9505686597662387,0.9023159761560323,1.0364884528934033,1.0524403483668454,0.9367400713822929,1.035210307098844,1.156345011347228,1.0930446942118246,1.0571460483864368,1.2099614304441975,1.2601118592860507,1.1856869884140782,1.321847189153271,1.4236003625347557,1.3408503195321058,1.4217896518472615,1.5824624404677483,1.5372254459820873,1.705162462196799,1.5731232239501245,1.4273508873934238,1.4952973715259972,1.4867672687007236,2.4075901079488022,1.6824801947591186,2.1020065673955814,1.3740013665652888,1.439017878617173,1.4145522164372395,1.4795340128100165,1.3817558181812812,1.3281381924127766,1.3280692955433862,1.3240489770387283,1.4127408457250803,1.2221808494107638,1.3648030467195635,1.204267530776237,1.1420193647909502,1.0859876856423807,1.0365012677202732,1.03095078288612,1.155860233833029,1.3067176853712725,1.3681874764538717,1.5778447407273892,1.4559367139412847,1.3256461012944953,1.4310445079978038,1.6145850555724819,1.4160869928007471,1.28152236633525,1.4360289015461865,1.4226724532709685,1.2898187778165846,1.455736751656969,1.5590460474844312,1.4253779039174772,1.4300474561693248,1.495874852940009,1.4513321765600233,1.4336281184906565,1.3681574145806195,1.3842863633630274,1.4246062501545365,1.3075615289668696,1.2804681264840618,1.3424832690398083,1.338742097148252,1.2210208356060912,1.3194397885036164,1.377692360723051,1.3172252199699546,1.20803389109489,1.2800862293065474,1.507737341516307,1.4079221371909638,1.412149544858412,1.4827292818336528,1.560451607060996,1.801046889024423,1.5005785956735262,1.3566898673295753,1.2552432991454163,1.3923292545297974,1.3105864715571593,1.335554355862535,1.2416951797418203,1.0693140833309016,0.8952143993701938,0.882474270757139,0.7784353790024914,0.8582565949701575,1.0614926006157088,1.3117730252369424,1.5554160828843184,0.8822317855435756,1.2271754359887463,1.2646214714537687,0.888675185444999,0.9062980825519535,1.6164631286486255,1.3642840780036796,1.8762580429155749,3.053265334893732,4.4486432475142035],[0.86758848528403,0.777144839506139,0.9359836070764349,0.6932706395718359,0.7013851521546595,0.7229261168470046,0.6356875736405282,0.724292630170036,0.6613171630191955,0.6423983632841213,0.7182547913612044,0.8913944969161951,0.7646391015699014,0.69193317235128,0.9972153640779833,0.9424885163055018,0.8315106426009758,0.9087524932722513,0.8811209514818956,0.9039632505029803,0.9070215129667258,0.9289014736172564,0.943472691823607,1.0017815856132166,0.9327323977995607,0.8465383936790883,0.771071582512798,0.7704529824059154,0.8616056844606925,0.925674058419247,1.0653964769167106,1.0972777540487737,1.2398620589999905,1.227657898676291,1.1241296274114345,1.007540022418275,1.0305684803962516,0.9271553570446993,0.798996517200774,0.911319211032217,0.8547248944756956,0.8590758885265692,0.8753419442244623,0.9181431589702126,1.0688714964782562,1.6251083711090906,1.411156342619157,1.0925234495259293,1.4689345805465568,1.258211642747654,1.2152258707713863,1.4703465098928556,1.1928177265079665,1.0673145916111206,1.7000581614532873,1.1490511064555249,1.2030160112489818,1.1726639394486729,1.2683112452118606,1.3194066725549318,1.063578616643991,1.155444744018697,1.1741047067229256,1.3429155184930313,1.0441676454102526,1.0552073828025355,1.1294256858633915,1.033992450823918,1.07656155588128,1.087359392627104,1.2519782479403518,1.4674881516799163,1.3170692282423004,1.2708005263335402,1.1596825872352816,1.744256005567223,1.1543363762807228,1.2351246756674863,1.1431297126899782,1.156881825507244,1.175434946331867,1.0780173664157833,1.343630539280767,1.0791699283002718,1.0298793427513855,1.0417682461829172,0.9888622894256917,1.0987271985844693,1.029652116979156,1.1959353281159493,1.1826625766706615,1.3181173676834237,1.2898927855341362,1.2917011545311685,1.1538346900005279,1.274702903699702,1.1615998601575352,1.1750711353346244,1.1392834430300172,1.3012731282595125,1.1559828930450882,1.162978355183065,1.017454043336867,1.0545736631178964,1.0558278658509752,0.9650965062849134,1.2109940623180282,0.9678122051592205,0.9907810453145024,0.9825072489707418,0.8954723536306876,0.8056972085462949,0.6960872470703763,0.6684599061594112,0.6872696905042421,0.6227388001987304,0.7261868997303559,0.6056494730011185,0.7161789400505898,0.7659802297348388,0.6924609041773666,0.6555843609291838,0.5577445241013034,0.5663920271371335,0.5745476685599469,0.6188662788145103,0.8308128709360868,0.7656498605426901,0.8149069706017437,0.8445978587085982,0.8474604855576584,0.9536930588491569,0.8447176904836269,0.9938302633265729,0.7700880330831653,0.7341131227808178,0.9909190167514013,0.7277029163877397,0.7153507624226018,0.6131064977317555,0.6477111167443315,0.6546148024817471,0.6715473809694082,0.645212405137425,0.6923780776306389,0.7687475976766694,0.6875713544873246,0.7715874265397645,0.7818795517800139,0.7857714514600179,0.8535562797435071,0.8936009390151348,1.2822873929497907,1.3650996844645176,1.1924192389032389,1.1323894638968655,0.989225942959108,0.9871816285382232,0.9446530386937466,0.8827215981387478,0.773686024048112,0.79598350326869,0.6708468003780028,0.7569018904321012,0.9062518103653561,0.7129646117326119,0.7027409533475738,0.8357176151108555,1.0576419875311491,1.0180226395669938,0.8113005374841071,0.6703630170770085,0.8345237282445361,0.8183243953607813,0.8448500734255522,0.9350617129212727,0.9332495697946047,1.1580838864164242,0.9434766279716787,1.0355967068811298,0.8484311794002752,0.8898193743273454,0.8842134338269115,0.869364907158007,0.8121110249586401,0.8172325920240064,0.7796421626526178,0.9918013434163109,1.1880683248836281,0.942009314794949,0.9587074917581873,0.8804804308931186,0.8570402031490976,0.8723533923218856,0.859755834473898,0.9809502095994526,1.0367821647198894,1.0161289380478953,1.0331141954554894,0.96644222232209,1.1155314175248368,1.1319799184457273,1.0050290903052508,1.109847815433929,1.2272820810167406,1.1522919520371806,1.1406266264259204,1.289976245051586,1.3177207282451977,1.249380040201083,1.4039030718719068,1.5043929115882007,1.4017952493088068,1.5108196060856456,1.6909157965501043,1.64032160122195,1.8089475625243578,1.6832341238818782,1.5310685149130205,1.5953434026425253,1.584917553058195,2.479547893843309,1.7609943923034643,2.155097868707395,1.457928186437196,1.5095567369007776,1.4735529459227208,1.5459129480518903,1.4723182285701144,1.4173786529840788,1.4047114172168804,1.4004734664176175,1.4934893015482575,1.303547165734461,1.4340721412398756,1.3085214840591706,1.2281626722976686,1.1234144301325606,1.1084911388190024,1.0885333872355292,1.2188486480335041,1.3683118117878594,1.4351548444441526,1.6005077936319156,1.5160835861089683,1.3952588775304247,1.4910109538249559,1.6881200745713862,1.4846704402912636,1.3414614681490227,1.4870041023581209,1.4720507766560225,1.3318975902906685,1.5019351680489683,1.5914469825740318,1.459986640027472,1.4863661560901003,1.5489276821288234,1.5122002285145677,1.4946731582921944,1.4360390541045687,1.452442289228581,1.5000932919982206,1.3871726774319066,1.3647869705453133,1.4365791637349061,1.433071523757907,1.3131643826202437,1.4214506739973098,1.4837561549584146,1.410470539072334,1.3012937452908329,1.3830675027490527,1.5976477674254639,1.4944626060389372,1.490409571684029,1.5886431717315062,1.6456231718406849,1.908408851656267,1.6039494183463667,1.4532806263713836,1.346813502673077,1.4759778564137864,1.3876956582268154,1.4188715571137354,1.2979851122549242,1.1500427236763402,0.9746776071985485,0.9489867331986432,0.8477647068142549,0.9248402482178176,1.0903203557696801,1.2997261238164888,1.5297359517200708,0.8829351297393074,1.214160385858216,1.2260458148912052,0.9558017202132004,0.898265792611525,1.5133544352096286,1.2158493291256685,1.7600242189002966,3.0146694601559587,4.200000470008312],[0.7458466778412097,0.658563104109807,0.8378519682551803,0.6456368687594286,0.6351331288421447,0.6830674865416734,0.559766170586329,0.575720256799892,0.516757265951287,0.4860352214867869,0.5221681717926728,0.6490607688765407,0.5335371619651317,0.4916789377836454,0.7566120556127598,0.6708631545018741,0.603057822500785,0.6617106888724577,0.681855747859916,0.6759316261028442,0.6942484092630558,0.7163806703973032,0.7796993131226103,0.8518175257773961,0.8270420779209733,0.7014717141584467,0.5847322789731714,0.5706442782443489,0.6207805681310397,0.6569117603358556,0.7484163795277172,0.7733330241586056,0.8914728719609957,0.8733773036522464,0.7982325289246328,0.7073384521733549,0.725045093396371,0.6552105009670462,0.581223567480836,0.671775067631769,0.7197955143167597,0.6361576796780549,0.6383961387336916,0.689402574647874,0.9908414016161378,1.635188078671377,1.408894149519643,0.8738782281898653,1.3632346312058155,1.1111110511280735,0.9996534262492593,1.4203260960481172,1.004843108600776,0.9168382000723235,1.590178578709861,0.8835003586902934,0.9436140078834195,0.9484755928466719,1.01188429557429,1.0910419616579499,0.8282313070054116,0.8835004515454484,0.8861087529506182,1.0967035473841977,0.8020377645454522,0.7911102565965945,0.8860302660362551,0.7825765533285226,0.9122566990673863,0.8654374801089388,1.1127407210516684,1.3326842490291988,1.0905790121769694,1.0532558601588617,0.8865204083735087,1.5134001971238575,0.8598487399527408,0.8945435404563844,0.80989486344391,0.8304193252748614,0.8458640671812816,0.8309771298493858,1.178293122467154,0.7970580496279003,0.8218562487973039,0.7953114918664511,0.7153013741545594,0.8018409883544703,0.7270968289818618,0.8683356744784934,0.8536505148155985,0.970424195074276,0.9284405240057259,0.9242597116608331,0.8247797233664927,0.9525482080077147,0.8566212876944913,0.8527561132516014,0.8273223055207459,0.9745270358195209,0.8409544322035591,0.8817139279737164,0.7333554172314986,0.7947920385903381,0.8260073815299064,0.7813367880736458,1.0418911423981265,0.7947306669463798,0.8489524798946241,0.8531455290349801,0.7502018658722357,0.6550284680540628,0.56271832178927,0.5480135462773925,0.558800494364138,0.5372576582780684,0.580012933116141,0.4893900870163736,0.5948327029667705,0.6151178394763406,0.5686747712408929,0.5406215440477407,0.49979705704113286,0.4917503233220049,0.5092956279763454,0.5465749142689528,0.727877779339679,0.6761895942035008,0.6893282660301495,0.690255581841437,0.7284645947212584,0.803291127153556,0.6992314916706924,0.8353768113863467,0.6682112915835198,0.6540326744381582,0.9387637757917181,0.6539668416431386,0.6711008042224124,0.537813962527084,0.5719390125243741,0.5895256041449694,0.5755237174647189,0.5284867688860352,0.5414774326738577,0.576338254946587,0.5265310271463867,0.5948367203413601,0.5739100434401074,0.5938928675139399,0.6696511507137528,0.676755547609938,1.0424868110243455,1.2518409433734075,0.9359980376600289,0.8444070707249629,0.7355260196147351,0.7374933641640333,0.6745787630391255,0.6715573206168681,0.59114037034568,0.5789036446681778,0.5378994611683886,0.5540296227325686,0.7723392331153379,0.6656034524196119,0.6640919962500766,0.8775080795319996,1.1129659110356893,1.07067201895609,0.8172856863889352,0.5847545986933668,0.6855176570400349,0.6196474576073419,0.6145161373621695,0.6842349816870583,0.6770585842077649,0.949727710089679,0.6871914061063518,0.7827722850782655,0.6790117165720725,0.679140714032892,0.6788586947095299,0.6746016417657124,0.6528330056180964,0.6348104202385231,0.5833495263063824,0.7962767161071281,1.0937965946862407,0.8219811834570784,0.9603863278772,0.7991889604468968,0.7625796264895893,0.7658180080597072,0.7199612966647745,0.8491944792973201,0.9244499745837546,0.8726384779362961,0.8858583892819191,0.8115406099821765,0.9281720623162669,0.9310480150767054,0.8415691055434059,0.9555128454341147,1.043019315811721,0.9915704320781119,1.0204116023041938,1.1205595666571369,1.1283762114682716,1.0994241500333979,1.2417457040066535,1.306827802081001,1.2199323139673324,1.358150750690492,1.4943707762313867,1.4685183713381937,1.6031421504733818,1.496561748064633,1.338781487945712,1.365150921345909,1.3596554489862693,2.2469675448572985,1.5959560336332554,2.042502886011992,1.2418975718898653,1.2852158165927368,1.2598392745053844,1.3248823658963151,1.2451403020271286,1.19088332052718,1.194775480533457,1.1943841785820133,1.3127932373478293,1.1309500103007204,1.2568082252468695,1.1323834143658473,1.0852680392512792,1.0339771016735075,0.9694497929963352,0.9022290045585772,1.0131794967917411,1.1596884680855106,1.2135688845539228,1.4087722806436007,1.293482329477667,1.1850528555713444,1.2677526800679921,1.4626005143100376,1.2639313034957391,1.145800292841271,1.2893698636913806,1.2938437122104431,1.153858081872067,1.294128926473558,1.395260682013281,1.2753328499342809,1.2684445442924852,1.3196303691454856,1.290018713211384,1.2653965309302562,1.2080758593798275,1.218624393827162,1.275709585414269,1.1814528071265815,1.1421538387022794,1.2106973340721143,1.2243539478050178,1.12280143251253,1.21058670861566,1.2848485507446206,1.246697059135112,1.1363206170761913,1.1909230098176207,1.4475016593681402,1.3603573158928508,1.376119733045587,1.4520726556425303,1.5365451151887983,1.7500719791744745,1.4833366690773175,1.3233277812046662,1.234616824221596,1.3902112064867278,1.3153689467432597,1.3394016579312404,1.2479710778351403,1.0569133928849055,0.8761437194748849,0.8239207049536375,0.728910640927532,0.8006587440712788,0.9724935824598473,1.1943513444525218,1.478287563455369,0.7753441076580561,1.1434149170715613,1.1500567580589844,0.8121009929018778,0.8590759742196692,1.5035600565369933,1.1941044617208285,1.7242366840442185,2.9728051083150926,4.156555879858322],[0.6263884383012439,0.4764545574183091,0.6656843349888887,0.4497765415012466,0.45126382881233956,0.5172008957054338,0.4247013023912972,0.5172258922578102,0.47197957062468715,0.4563420149700524,0.5300127142005668,0.6689170558444246,0.5427883036162506,0.4995344305820528,0.7977472959801192,0.6997574349745647,0.6186163752972097,0.6952035582175151,0.7134406308148648,0.7029676909172546,0.7193843083192174,0.7379181241603012,0.7967407496781636,0.8803969061306265,0.8267890218123826,0.7190719066593143,0.5915450498540276,0.5833587906149482,0.6526766286728471,0.6864668665273507,0.777911420263465,0.7881949747433828,0.8961013266171878,0.8819470175904437,0.8119630199196385,0.7369433289270545,0.7446722434762862,0.6786550802469911,0.5841337325652104,0.6724879988543736,0.6922431048480036,0.648261972306266,0.6526212651191411,0.724173136914264,0.9575915504776541,1.5722350702020862,1.3371314221825086,0.9069590099826277,1.337652857698287,1.1221867913365313,1.041107419345961,1.402289525218359,1.0005304272720563,0.9141699526850782,1.5858850745004678,0.9036950607005353,0.9803168949178503,0.9631023495193757,1.030143811725035,1.1284309999099302,0.8506844417266488,0.9113080163797724,0.9058268733518061,1.1101365508058216,0.8271366151969773,0.820078339122895,0.9046699439225161,0.8101600618984474,0.9245564250705003,0.8958447447359575,1.1301952474588661,1.3399987902019943,1.1129956562518264,1.0633771526727211,0.9121547659413063,1.504275540625748,0.8809897772734634,0.9069464114076704,0.8261927908498473,0.8578796232498233,0.8620111978916267,0.8314124909495829,1.1706947062974404,0.8011379471838074,0.8180305145028685,0.7966653124620202,0.7321355771927545,0.812752772960237,0.7555850212619382,0.8765659050485058,0.8715284605227289,0.9770307554234521,0.9395112259076119,0.9342768394536837,0.8481806213703544,0.9705296412745265,0.8857337447385781,0.8643842184223169,0.8399383673698967,0.9704344311925827,0.8463571553717175,0.8654761131064485,0.7277717932965784,0.7700004426339955,0.7991524576214551,0.7266120112104764,0.9790703898692501,0.7052169614984036,0.7514864787413317,0.7875226679470562,0.6608155758778341,0.5665676944491818,0.4771557269102257,0.4705595310196112,0.5245478595153481,0.4672479266136347,0.5622619317431223,0.45486818147022406,0.5804091025931171,0.6208100064774635,0.5525789712847227,0.5198080141398439,0.42317377518566085,0.41423642782961606,0.4055259339819601,0.41006628450948956,0.580840529027259,0.5439478707272988,0.5752642089135751,0.6106885577841733,0.6088457582898451,0.6953512389216948,0.5928485547367138,0.7704240480529662,0.5648147369498905,0.5536771350624483,0.8324655869016887,0.5384511537776622,0.5847232379422853,0.4431244627569589,0.5273389722552381,0.5340808565232333,0.5409637237789866,0.480381046372629,0.5107188624343241,0.5684059198478086,0.4921417421118526,0.5761113671740211,0.5431051152419104,0.5659312348469028,0.6316957806919866,0.6630790794474943,1.0298858573545377,1.296731361038758,0.9466908830112648,0.8404132685047812,0.7383910870593993,0.7226145670648442,0.6777914667768937,0.640673789543191,0.5490784383148557,0.5589238892313138,0.477279142440576,0.5341179167743234,0.710839544557093,0.5744773837012798,0.5433297532416039,0.7274254816785154,0.9687766713654746,0.9394739655793466,0.6902430476106026,0.474463908484738,0.6144511070669344,0.5846628450531297,0.5891437198443539,0.6631553968013338,0.671620011752988,0.93418786784601,0.6696171947420593,0.7566713367813253,0.642094506397615,0.6304213275035785,0.6186733489708075,0.6138222641231452,0.5948110114680454,0.6059460735795855,0.5666659788621474,0.771287497754862,1.1346436459876263,0.8030321133162813,0.8609585778436283,0.7546502173638322,0.6797284262518516,0.6752841829813311,0.6112009975822461,0.7157726184467751,0.8129241411568623,0.7206274045816947,0.7270912009467826,0.6711820220777329,0.7756150652683637,0.7931639351307608,0.6987271954710236,0.8029085033305721,0.8954573444789974,0.8517614402865322,0.8725647512754632,0.9671239836847628,0.9939937719869381,0.9724878369829324,1.1024782762591427,1.1775322767577523,1.11945709417274,1.2571202905874066,1.3613066904015834,1.299206020753354,1.4867653691931209,1.3018087137407,1.174574947998126,1.2051447882323862,1.1804023527190413,2.204270873331923,1.4196366681979802,1.977836349984774,1.0918154604120196,1.1367665028155183,1.1239776113779536,1.1790955180695593,1.0785748398698973,1.0306807419276447,1.0435766871964531,1.031079946194507,1.144463721677223,0.9656698559524746,1.154372192082923,0.9226192965890609,0.9134821336121264,0.9257643862254128,0.8200706965504359,0.7545148757467223,0.8771236805007403,1.029043048480763,1.094665610744652,1.2763380270057445,1.1820244086139857,1.0645647675045322,1.127248178722076,1.3346144601789747,1.1367749994062017,1.0184829141345721,1.1549492112819764,1.1659780751749187,1.0364539708500786,1.155953770450415,1.264171424771925,1.158795923759511,1.1435818941853806,1.1890887971817896,1.1542438026436013,1.1198661311531657,1.0615649932185156,1.0638736989962438,1.1212440815229059,1.0253363685811214,0.9916925473537407,1.03965646516475,1.0531782368207099,0.9532573806989312,1.028005815544235,1.1052823331712933,1.0649281665773762,0.949320894223096,1.0168915861548753,1.2249569711191295,1.1713481314151342,1.1818452052281692,1.2224717525736344,1.3381918519693983,1.5093385109233433,1.2618401980270986,1.1382218426220723,1.0629167309140044,1.1858838869257922,1.1202880102727648,1.1277810436163673,1.0704039374401155,0.8908016971926387,0.7301574806081893,0.6786499164733492,0.5860115139883784,0.6643243853928374,0.8352885080921779,1.098384687111165,1.4158812388302087,0.7311983018182181,1.0496760590919327,1.1344989671733379,0.7635371690850068,0.7242856821263614,1.494631444141709,1.3373165284234105,2.1716905000562137,3.391559926206428,4.775396096853496],[0.6179133543357098,0.42616230075717076,0.5513528552155279,0.3857810709659055,0.34609672781310236,0.43957643265861196,0.3314704333150241,0.4293259356475131,0.3864511395212128,0.37636835650464495,0.4489033945554446,0.5902572024428772,0.446885684464815,0.4240107531702964,0.7031141811486145,0.5937236226309351,0.5304014900543748,0.6078138406831968,0.6397096155219182,0.6207096844511225,0.6511516488448527,0.6651992108347367,0.7251922456941968,0.8128254699865921,0.794162650560307,0.6580644211435163,0.5122284328836341,0.4876631621686905,0.5559569259397554,0.5769054843529926,0.6761229835466737,0.669479404911449,0.7687809098382059,0.7405216024453201,0.6786440562364772,0.6202054529281795,0.6108050876381699,0.5570607198410331,0.48937701161554326,0.5516664684662789,0.5978334966704525,0.5626305605054317,0.5481824526494724,0.6700214638281529,0.9794385109970452,1.626671983654909,1.4317532257883587,0.8769593772574679,1.3249205662033534,1.118467386841481,0.9690084821221013,1.3994586719310016,0.8861762344078767,0.8410827020550614,1.4701616927040964,0.7754491843265614,0.8872411086314477,0.8574491308332624,0.8993807935930068,1.098041909126494,0.7897842446509565,0.7975727337743527,0.7980682213133002,0.9741423974422108,0.7289631705843089,0.7176472814412796,0.8483479232110578,0.7297616716468837,0.860774479320428,0.8227405856277126,1.0649967228528274,1.275886375351398,1.0527830259392703,1.0131947023376378,0.8158427445959893,1.4200788632405106,0.757434363484449,0.7789600846251747,0.7033846097144305,0.7266212088647432,0.7111291319071719,0.6980174693350102,1.0649234589957213,0.7015122438295064,0.7103512457897537,0.6536631107229888,0.6044761824388157,0.6906819339012553,0.6382318538596665,0.7724993438672303,0.7424225337139592,0.8657851849849555,0.8193734576793402,0.7960691894313789,0.7302899263924808,0.847614121291275,0.7829551332837347,0.7420328473906492,0.7163679692380975,0.8784979082075459,0.7171871685176118,0.747315304315059,0.5963931964022914,0.6381685855919187,0.6598591136481269,0.6068019663902262,0.8614196282186676,0.5672025188416528,0.6302930082610788,0.7008777893164001,0.5369547790897408,0.4327668872400146,0.3675093986000859,0.3650356221962704,0.42510943518159827,0.38790364747285866,0.4757043563160566,0.3732911045311543,0.5192276065098271,0.565190036160535,0.4755549069557226,0.4681690893493123,0.3540240932533242,0.35132441511140594,0.32802190392590286,0.3104385778510527,0.4485952935852511,0.44241657064784795,0.44759204215579695,0.4885767690010565,0.49986514940206184,0.5399516323812918,0.4675965096769521,0.6467889274019767,0.47764875236078924,0.4973474489698833,0.7615493181153719,0.42880941088125724,0.4980906317285848,0.34847051306620164,0.4597727033963428,0.479120724670022,0.45826922442088436,0.38229342140325057,0.4034301167851757,0.46785350165854866,0.39139322379427177,0.4840311388392784,0.4263914399471286,0.4649467263196447,0.5632738941214942,0.5813753780746133,0.9463975035102408,1.3418746022387076,0.9336528735721608,0.7228928760886225,0.6253252045606933,0.6116226470984985,0.5586384953910531,0.5237172865586802,0.4392370869290528,0.4504811518668348,0.36920601184258517,0.4121359857885055,0.5441550425691105,0.5273564118037286,0.5251189101476309,0.790846054034422,1.0344574144811156,0.9975917116180485,0.7049182790254678,0.37799242072947253,0.5030215140750717,0.4851337251018907,0.46631429739449887,0.54430407562942,0.5573543534261971,0.8099489014018832,0.5293144660226453,0.6448879576262997,0.6140615992983589,0.49880257572442943,0.48390598584362776,0.5010297613138663,0.5157624218255328,0.524334719012636,0.4721093528575676,0.7068688400485209,1.1367356230647636,0.7746357625975154,0.8825411073801557,0.7246291407133038,0.6633248049981433,0.6468325391571679,0.5307258831381527,0.6168209761722395,0.7269001916594882,0.6060326579363504,0.5990105414879516,0.5582584703132376,0.6104771929979405,0.6223800450974574,0.54255468736024,0.6548449377987887,0.7221320210537869,0.6911039980617963,0.7448835341944051,0.8105478056458165,0.8280755934177897,0.8134908079240399,0.9426259472334821,0.9977415245933066,0.9436507941803397,1.1014574511411548,1.2038953826249317,1.1467527425974895,1.3487074900592857,1.167638461214049,1.0268768688164736,1.0415239345089902,1.0155218037382643,2.032399069050549,1.3165037835974593,1.899537616025216,0.9352852598458227,0.9608160105969469,0.9533283276787098,0.9964245827135121,0.8996241413677457,0.8601988334514838,0.8766376115191263,0.8769413401169397,1.027471720208054,0.8384752958920287,1.0336067720196538,0.8261153696179337,0.8247578596836141,0.8995793871048909,0.7075821786053689,0.6171039723880318,0.7237409128161557,0.8631115999052603,0.9276230090206566,1.1348963725810413,1.0083196045317617,0.8996787019073983,0.9562388101030402,1.1712088408441101,0.9816396142049033,0.8577425112233618,1.0145099254158239,1.0505273041666519,0.8942424024268619,1.002459349146921,1.134247555364533,1.0422888653190197,0.9771037106901812,1.028340163703951,0.9818624607756492,0.945988423691226,0.8855587424230497,0.8829602572602017,0.9431494894442667,0.8514372131381817,0.8170623706017811,0.8652353309233225,0.8930004592847801,0.8019596448672234,0.8657745787457782,0.97478424954232,0.9381403201983285,0.8197956473825996,0.8877827979268592,1.136579514476463,1.0738918022092376,1.0882695938312414,1.1273421306359093,1.260234434432015,1.4108611297606424,1.1674149724679488,1.0275874051244867,0.9456669507006116,1.1036037707479538,1.0490144932463685,1.0647383096488996,1.0323638669018935,0.8089640602113618,0.6339745905245616,0.5447848389172254,0.44124475259837953,0.522189945580929,0.6866480017735909,0.950420203801579,1.3589915262950205,0.7066602594831735,0.9224257158942823,1.0350973513686366,0.7396658389912507,0.6446080006227488,1.3968224329212602,1.234748792095048,2.1578954754643123,3.2335556330083306,4.396660373481235],[0.5744809492730681,0.3676946861266923,0.4949410978820437,0.403758420434791,0.31970128375917883,0.39916114983979517,0.26403157874242,0.33480707865693626,0.30152651994234353,0.3151142214827134,0.3931568755480591,0.5184736605159955,0.37717305960559583,0.38144996498478,0.6425995247338528,0.520164333216538,0.4726104387575687,0.5681058792981712,0.6229794438345513,0.5851258419175439,0.6190597619386077,0.6320097170169975,0.6938952888330435,0.8087839883367657,0.7849154197037777,0.6452747384299062,0.4797352896880763,0.45069659789662003,0.5090543497938936,0.5120229530817642,0.6034508956881312,0.5744574359187319,0.6749219379351478,0.6368416515650135,0.5808723446722812,0.5479208456621609,0.5244965533080206,0.4880342827525042,0.4302996685070937,0.48030679533422693,0.5452465628358122,0.516809078092484,0.49948763680563657,0.633974211515156,0.9643895105222163,1.604170145521117,1.4133344449879683,0.8491919109901831,1.2989540106169513,1.111603098359913,0.9631629232840334,1.3934910515562096,0.8268951121798261,0.8167047779045746,1.4239437396472627,0.7012162074482634,0.848083826727927,0.7711169619122948,0.8106625008621784,1.079751044471314,0.7627449736637468,0.7352814862404488,0.7384896291241624,0.9011634318799622,0.6895778626629369,0.6632943535000768,0.8299304504875109,0.680972807561723,0.8427363656987717,0.7896180472813795,1.0466167747132376,1.2586310555797546,1.0055566661889213,0.9670471518707237,0.7504252629627333,1.3443139758142912,0.6803067347664526,0.697867840151518,0.6231834941821219,0.640444308322308,0.6242152512690925,0.6169046997719306,1.014208260762087,0.6240186989604266,0.6542763757119233,0.5641283296944166,0.5276130300402168,0.6083066697841699,0.5597136655911876,0.684158470991353,0.6616913990075994,0.7919831737778343,0.7381292931070504,0.6929339581420061,0.6379969954531081,0.7534863813543939,0.7134505023268217,0.6440993718615428,0.6116156738090238,0.7851641141583792,0.6125888961774754,0.6406616997590333,0.47827045973542465,0.5211951394900557,0.592321175196303,0.5295041149674503,0.7866458302709198,0.47341551136856996,0.547696563885011,0.635825438493484,0.45359353569632993,0.3462099834661107,0.287947982597504,0.31632899603905734,0.39350039371549306,0.3597779989006663,0.4481902534791609,0.36833867897395345,0.4911922583747309,0.5358630201118274,0.46116124029472527,0.44022204977784596,0.35246766173215266,0.3429851880013722,0.3019230539624875,0.2816870781817475,0.38508588100013985,0.375049818326597,0.3703619695661764,0.4263589270936148,0.4521784115176525,0.48263050035376653,0.41070847037371555,0.5794026716567195,0.4386201460376673,0.46686657713173674,0.7380063419060998,0.4160917021379717,0.5048236249668226,0.33686870684437803,0.46286718711712094,0.4714764533849145,0.4395692710322776,0.3524770441558255,0.3576135404484844,0.40901701622131903,0.33391755281510854,0.4153740780294535,0.3469851762187273,0.37932276879274074,0.4763459716819781,0.4954553385823814,0.8575287799054714,1.4001183286546168,0.9164741325814331,0.6015672781205172,0.5095687882595774,0.496840874198008,0.45851771878355374,0.42548449461109183,0.37053910806730933,0.38308241013688943,0.31640705734475805,0.3498629596194235,0.49017378249576943,0.5108431477515498,0.4871381214776464,0.7415937111295792,0.9788173074256183,0.9532009475794029,0.6695913231120116,0.34602593229659917,0.44168146084052934,0.4213322216725203,0.38338671053401513,0.4639636740719252,0.47111118895004256,0.7478082223740088,0.44295936233090055,0.5768083779643729,0.5844405705429688,0.4150786575231881,0.41114414775198305,0.4326287890563402,0.4517268602090675,0.4753862357637948,0.43376763211158803,0.6764776983390562,1.1390368302987761,0.7318153569535659,0.8820145465435563,0.7462879195881474,0.6489187931697001,0.6273483640795425,0.49708488820421465,0.5544588953774346,0.68176781517657,0.5197321523187636,0.5222995594927996,0.5229484597433874,0.5227605755160759,0.5205774642994474,0.46772413997308504,0.5852397178024059,0.639865353207095,0.6219032649656712,0.6798366738704905,0.7204705578673187,0.7500304043226254,0.7478687785616812,0.8568326937086078,0.9116508035468723,0.886165199390804,1.0324468464348342,1.1118338535104406,1.0300420771444285,1.2626102483392216,1.0330438874197374,0.9174076288934829,0.917890660455941,0.8903604341286319,1.9971584475998407,1.1874677654623698,1.8397809157516112,0.8519543138785733,0.8673021154042078,0.8664366421591667,0.9009606369072609,0.7924026289702543,0.7392566500814655,0.778741461044064,0.7871569603009785,0.9183711636193248,0.7391766978746811,0.9873456395321802,0.7316908092637101,0.7628141886041254,0.8974825989436743,0.658450887309087,0.5419416652630314,0.6444484304844817,0.7769829985154151,0.8471898199337666,1.0118791100921418,0.931155669555004,0.8101084690143243,0.8423460109665901,1.0560370834740889,0.8745768940919292,0.7803420618990959,0.9210716264063318,0.9644864839755226,0.8338024283930026,0.9049531556985737,1.0293471074541314,0.9704353420676518,0.8889185296884244,0.925983820044042,0.8842540486224086,0.8459119411977293,0.785979110545527,0.778521693461504,0.8351902222471195,0.7534821935192411,0.7161902043132216,0.7517319356617514,0.7853954526971645,0.6999509693519802,0.7450039128844828,0.8767616265052945,0.8357970159916194,0.7192316090591174,0.7837387365558064,1.019535565714435,0.970118641414542,0.974183898414742,1.0044171288691413,1.1705283018909103,1.2656119312030811,1.0242925229102506,0.914650150992347,0.8400198658765086,0.9946118167172469,0.9320072081365535,0.9391450207554358,0.9490364594146256,0.732572144776366,0.5783475063466326,0.4890612780627418,0.39497039581579274,0.4628765166808585,0.6580966590835413,0.9671988948681175,1.402906673754311,0.7316165616993132,0.9310445353607159,1.097833288556674,0.7408552253070464,0.7077545850997005,1.4788405308669017,1.585762615222916,2.794156037260564,3.819278272682287,4.938000031192786],[0.5699840239476237,0.4182105951496091,0.4920930708811757,0.4661452566872585,0.3375640400571898,0.41471598426849204,0.2877681567976627,0.3257343441915725,0.29685343406155235,0.2772367080829507,0.35956569024580254,0.48945413672299043,0.34262721943036745,0.35728560756382804,0.6241610599129735,0.5167795939686196,0.47412637152973225,0.561998422796231,0.6352344435903456,0.5867500539339756,0.6367643802592038,0.6513006998994418,0.7008717898351932,0.8281120102910923,0.7830139140955328,0.664357040290345,0.4882271472271637,0.4532608785519986,0.4939006244922099,0.5073933864110349,0.6194687273787147,0.5614001436277437,0.6935554366251578,0.6544698853577168,0.5933597405269666,0.5561350832543069,0.5223163325292123,0.48784976624774434,0.4315010358102798,0.47209350051777943,0.5215120301401025,0.5289208655744375,0.5302749341331435,0.6289394059248727,0.9409815820037712,1.5390495342883022,1.3862330004929602,0.8461818533003972,1.265238770089652,1.0865359801031698,1.0044707797203738,1.429688623299015,0.8105523298522126,0.8547662452530238,1.4537233472080218,0.7280452389238427,0.8445425201838633,0.824864089122523,0.8364960866278148,1.1132121330105076,0.7830857959480403,0.7667946507274398,0.7615660106406211,0.9776648623125194,0.7375257938313492,0.6986752033204874,0.8611319239109296,0.7091195924468291,0.8737348016328306,0.8023557738591877,1.0668448351247248,1.281024581997627,1.0226566915842803,1.0162706621985123,0.768479947885321,1.405707408146543,0.7147481609059576,0.724814750023422,0.6422473168648948,0.6649997420399417,0.6344455702262896,0.6240748146175897,1.017759780151414,0.6062060917810943,0.6705168998792352,0.5457105871468956,0.5326078392357128,0.6114285070751925,0.5767875471568548,0.6984466398407366,0.6909290769041411,0.8387121167781793,0.7607714854527643,0.7045206205104557,0.6461457900273182,0.7591826712869807,0.7045889011701058,0.6379155434553969,0.5869093213797267,0.7629954296183526,0.5924473571748456,0.597671508884652,0.4661500945289632,0.4877116025406367,0.5789741642265213,0.48520460220695577,0.7370965526178995,0.42847894229017947,0.49960669350450976,0.638220854151014,0.4098426537186063,0.3110574784568989,0.2799290356229876,0.3126616528188057,0.3792749454736681,0.345601161089823,0.42133201260595693,0.35465768291070854,0.5331867560398761,0.5555897628427319,0.4769394803076484,0.4519613204052426,0.3576235365834585,0.33355356514978635,0.2872426253587028,0.2823708516602831,0.3861103762099307,0.35703445188590616,0.3299378342127108,0.4087602507833025,0.45308289706334726,0.46384646643505356,0.4075480932172765,0.5518292545747832,0.462785268391513,0.4937825106900037,0.7287338374423502,0.3864982878845052,0.4536884332837196,0.31933527817523827,0.4364956277168016,0.46360184885289285,0.44196661244396923,0.3504003205033562,0.35254228792356856,0.4025873838338091,0.3183095620501149,0.3991538377227035,0.3300331212561709,0.3425498613610068,0.4458400114911729,0.4762931338076537,0.81928950684985,1.4865629119462451,0.9747276847588369,0.5654289609957145,0.4719183100784848,0.4556942739694613,0.43468953452802095,0.38534380483052116,0.36928133757169035,0.3797714905329665,0.31299864050117615,0.35624407833353106,0.4518408374240254,0.5120947816497817,0.48840562311549673,0.7246009857084047,0.9625685984103658,0.949060988798224,0.6732807169531869,0.34210118306521337,0.399970421361523,0.40840691222024544,0.3697728301914159,0.4486416438518335,0.4596442485898053,0.7272222595009165,0.43078184139470743,0.5415183401207792,0.5716272777234493,0.3867949127918792,0.3822225445297912,0.4068264635161483,0.44991218233653035,0.4684779555728191,0.43248376181676745,0.6683297198159702,1.1549338083799454,0.6927327345395711,0.9434904348151614,0.8422606109751585,0.6951619089271727,0.6676197276884351,0.5164917448610588,0.5385816468278714,0.6830912882567184,0.5006345089632555,0.4880775379345632,0.5428113096961334,0.49264126394915514,0.4990816151039911,0.447567239062969,0.5457563934715719,0.6024508999080432,0.5974641418745289,0.6391881976497472,0.6701325957122429,0.7179656736290416,0.7080775986518244,0.8008628873914709,0.8673354561449026,0.8549761491927746,0.9684204781233725,1.0669176865090197,0.9707082817262273,1.2163119842290473,0.971095439104301,0.856155570512073,0.8748812202561637,0.8413007630908423,1.9431025316651644,1.1521859932061254,1.8303083338575048,0.8251448619187602,0.8360293257638819,0.8482970722421798,0.8693753910749474,0.7447605124016635,0.6837190087216912,0.7412662616928773,0.7533106351535346,0.8660837353262535,0.697868263859987,0.9883731697866632,0.69107507589864,0.7479027149241639,0.951910945361054,0.6372809348315615,0.5282814614252656,0.6323833234314797,0.7612915704499851,0.841671599198392,0.9887831142689884,0.930980016920733,0.7950884263274661,0.811788911630801,1.0438990533570205,0.8510899064959005,0.756763689015545,0.8945583053442923,0.9382591959569522,0.8159827656106428,0.8801598165828857,1.0118279146538887,0.9589012310938513,0.8660789363234224,0.905695441829115,0.8531643170882048,0.8159132752993089,0.7559884736942991,0.7440729778057916,0.7967283173340244,0.7101301939354259,0.6791506950002021,0.7031108069134808,0.7400782602622832,0.649766013823323,0.6882913444914449,0.8318668888607883,0.7874116213661719,0.6691888393890746,0.7290035180628756,0.995294721901854,0.9353686752882673,0.9334764609176428,0.977360001094087,1.1545098267040432,1.2094892139474285,0.9617784519194136,0.8571749205044906,0.774743231690524,0.9376059591183831,0.8779231711432613,0.8889947577264374,0.9423171305973901,0.69694383679358,0.5472110803810618,0.4621460150481442,0.35967627236053634,0.43643887784765995,0.6509159669211514,0.9647066071259124,1.4219162860398173,0.7754479591331775,0.9254899805132119,1.1450498759454473,0.8128526355214011,0.7491386080859093,1.48910524371134,1.728004298340393,3.0569883624912713,4.1507562060239325,5.335457173122608],[0.5002825245925758,0.3522209975354668,0.40724655107339636,0.4231501919338123,0.315667449753363,0.3569887481107584,0.25164139867852925,0.28917039734274186,0.26854404659973297,0.2699128617768594,0.34586130167032103,0.44634820805065123,0.3396037861402479,0.3754189872231306,0.5748865579386927,0.4862049597533013,0.47956811706549685,0.5639350417134188,0.6745209412741715,0.6165147570955508,0.6784733863197272,0.6907739050674415,0.7356745926194367,0.8829610052616617,0.8497469230358963,0.7293268743818725,0.5390658155955066,0.48022469461670086,0.5015418454859173,0.5058736942332009,0.593075793086416,0.501799302285088,0.6432633775001301,0.6060780100558709,0.5554851112057845,0.5432206161607995,0.5042976180642422,0.4980857174022859,0.4748246248344343,0.4962133268446814,0.5336147165874615,0.5711596261410825,0.5809924216486512,0.6756655276807692,1.0175551970782981,1.5687792338114428,1.4652053611797813,0.8962051362189145,1.2631541881176194,1.1156322428298016,1.041304530229227,1.517864429504306,0.8425710061063315,0.938390767407312,1.4389829444261186,0.7173375149554035,0.8119944493391023,0.8569544584742844,0.8194569307922629,1.1483025144704488,0.8208903636792448,0.778371214475138,0.7609800373499639,0.9756040012739468,0.783329451856206,0.7246412995083701,0.9042473133775335,0.7144094415188829,0.9015567522947022,0.8023742935601721,1.0582318626467668,1.2710859696505101,0.996206815877058,1.0467957941195076,0.7510453624400244,1.4112873656535012,0.6991771192945616,0.6857037775331749,0.6070188504987861,0.6491027346637358,0.6070174683686869,0.6000706499391211,1.0282926398503478,0.5897453940931316,0.7131518325820883,0.5356280026464493,0.5371364060264148,0.6050236581846938,0.5678415048876472,0.6580860099685886,0.6514378800531307,0.8204283891075593,0.7164752312249298,0.6414409606661311,0.5930953446829718,0.6830945174759487,0.6486450254701785,0.567127701331384,0.5068634167756987,0.6991329365762303,0.5227240361502077,0.5451277122329421,0.4294671103878457,0.4606497123644427,0.5276789548897451,0.4545840619346283,0.6770170862070144,0.3667578688329075,0.4263721679910343,0.6295125066085371,0.35238148400884534,0.27519619027401,0.254049870733688,0.2992115581989687,0.41355841607774313,0.371318103589482,0.4409767323502339,0.3998917337790936,0.5769576358816421,0.5763435588052103,0.5062396607281177,0.494019452738214,0.38731345695609265,0.3398336003937949,0.28709801383951505,0.2733068660886575,0.36432488987273975,0.32719109192576096,0.2929698053219333,0.37550217473534636,0.4364966905995265,0.4276216503399521,0.37105811763916324,0.525159777307495,0.425212719472132,0.4595633283351369,0.6618566171920915,0.3685438064700994,0.46876389239440364,0.3460826539135196,0.48801730092408624,0.5484944190014943,0.4915053488982335,0.3920465059945781,0.39056642289406623,0.4226003768070263,0.33970622052324245,0.38839219408537873,0.3245295433428116,0.34164535828068227,0.43568733933830833,0.4770639466891881,0.7656341490366311,1.5078914688215916,1.0422999499471683,0.5214813920812505,0.4160332637856446,0.4252867058173024,0.3965574516556936,0.36471360626119553,0.3654723484715789,0.3891309177782091,0.3326831076532857,0.38236930373670763,0.42290847351139826,0.5174387135269534,0.48153377531486646,0.7180995608995869,0.908971133871,0.9110592118400967,0.6382140321702501,0.3278104764727052,0.36749320818321884,0.38309353972196486,0.35994575348330354,0.4317303769102296,0.43783833838419345,0.6858417789994368,0.4211712421826583,0.5052957636365416,0.5918945684544943,0.3554055849046826,0.36188996085867753,0.4046748500042571,0.44371457878727505,0.493939226790705,0.46497155000482226,0.679514949551327,1.1519635119034268,0.715130224357116,0.9869067931186355,0.8692503694498389,0.698212890687117,0.6572127492028125,0.4932596898412092,0.5363180743749599,0.6489920203462736,0.46437910536648686,0.44342257886430275,0.5365143764051843,0.4164288930025227,0.42577497608724724,0.38478091388262,0.4498435086400398,0.4920345868808977,0.5034344693952206,0.5522842571390201,0.558152042858528,0.6120118222779535,0.6035887561131373,0.68913459266197,0.7516215033608569,0.7546116058478198,0.8724160819790064,0.9872732974023988,0.8839741496351491,1.125588444798359,0.869760755511233,0.7526824151050971,0.7576035171522615,0.7384012515179873,1.8793040239460639,1.053514574283285,1.718003178833521,0.7205302177422416,0.7303276139079355,0.75869860137494,0.7750045786463766,0.6375875926405293,0.5696926345319374,0.6695514746561394,0.6904238016186961,0.7701581507144234,0.6203018659706332,0.952134461745639,0.6637803683945814,0.7193087306722399,0.978124505546977,0.6004493692738976,0.49798276465411684,0.5834957912367705,0.7019826444929028,0.7971577391943665,0.9110919116201317,0.8914487669819974,0.7404456635804038,0.7214470512186613,0.963953002167445,0.7901669490104654,0.6649389981021293,0.8124260169816271,0.8706601917931668,0.7304671972267209,0.7887962753870138,0.9327385645102734,0.8957605130247879,0.7665009536445084,0.8059789811567171,0.7406291995780757,0.7053602531411398,0.6458051477147764,0.6303154115256111,0.6742081784221715,0.5933712599458598,0.5591261275923025,0.5845502106102273,0.6339349644410275,0.5376631060649835,0.5755283058121016,0.7579827598846215,0.6920939614575847,0.5957358313388545,0.6458649898467206,0.9406932145781169,0.8726437032017886,0.857447976171434,0.9495265787508694,1.1213004976027234,1.1303890650828445,0.8812879725272033,0.7644981777206041,0.6731239704994967,0.8881602659794072,0.7980630348722076,0.8152032416485636,0.8815676321918594,0.6323423588629502,0.49293531793337225,0.41541974317401814,0.3304062062859608,0.3782245761490666,0.5794292375437733,0.885402729418923,1.3961749080070862,0.7749158308631433,0.8287622049443255,1.103293102047864,0.8641737063173313,0.7131008158046007,1.37294435974313,1.6771348173626919,3.125740773622178,4.20027676361875,5.298762284091338],[0.5584632403229041,0.40113142273678637,0.46295225362710485,0.4770283960031804,0.3385237010821156,0.43208137511223205,0.32723555443335156,0.37484978004612723,0.3144405755210278,0.31403148899077465,0.3745413600794318,0.48365232776596023,0.41161311539606765,0.4227505569903747,0.6826908449380387,0.6126269131306583,0.5981926022957996,0.6982663287543853,0.7925603358040414,0.7434116500066422,0.8308053810713262,0.8241612579907205,0.8893770701904639,1.0229881579367888,0.8389306384844343,0.8028849012085332,0.6467203324549304,0.5910109582983317,0.6300606495687734,0.6197001137355983,0.7451837113566308,0.6345084623710783,0.7984900790059639,0.76352021160152,0.7044201337869929,0.6937451391713897,0.6401660725871717,0.6547804343701599,0.6082457078103677,0.654628428110416,0.672672628563258,0.6934529576855468,0.7192669163818487,0.7569211565432674,0.9610701611814185,1.4436276111930075,1.3089359697329692,0.9331858225907014,1.3112880035609955,1.0688458644847179,1.1758316005729432,1.5401800836383797,0.9187001503747951,0.9889679372452637,1.5262678170246873,0.8764327538253619,0.9617504476403792,0.9692003688191146,0.972982753141874,1.2190896085914125,0.9050419625443259,0.9486387583674345,0.9430921693363842,1.2095229280619506,0.9378124633677363,0.8789297029009876,1.0162964511070702,0.8599392885254338,1.0104014353609085,0.9232682331629852,1.175701503781218,1.414451209799412,1.1308278399452245,1.1749923209661572,0.906876075213758,1.600568898634099,0.8790644349809765,0.8640186771113489,0.79496982776085,0.8133898425617773,0.7685199742537375,0.7366974773961952,1.0824156326875078,0.7650696994930797,0.8037166011310757,0.66459912894631,0.6761688562827046,0.7313790869988522,0.7291772600621655,0.8254460583667629,0.8238527536228045,0.968815829877797,0.8797494903015413,0.795175990516622,0.7276258925339546,0.8057451974553511,0.7372870642452283,0.6610135475733464,0.5976006098089599,0.8116818881241017,0.6043277059613527,0.6121379941908102,0.5404052282440679,0.5767391182430591,0.6654588652911549,0.564091469698364,0.7588828598534664,0.4953917657804798,0.534852230590083,0.6876221597989116,0.4681609114731575,0.3736021712254556,0.3422878221829074,0.37505333917289446,0.480128754018815,0.43207411227700493,0.5061708564345508,0.47908451603075725,0.6493350965422976,0.6500462416309407,0.569030825893301,0.5481144858080724,0.4064983856564898,0.4069197753653702,0.3549318780937939,0.3414669745615476,0.47086964372015105,0.40228769245821605,0.3874675342868194,0.47314834071893436,0.4808303437034563,0.4922149435383815,0.4351973159052913,0.6099049788936628,0.4748865292136089,0.4529235586188198,0.677382293620274,0.40476988713163087,0.5024001507390929,0.39797027110575095,0.5210193178756294,0.5987681049050104,0.5578996471283384,0.4763056698813739,0.5027324786119285,0.5244454000793908,0.42979980371041204,0.46364448432119315,0.4229499249792858,0.3904596528425055,0.49378117583852366,0.5755913278471957,0.8789946727981308,1.6295196555594267,1.1115676913467663,0.6145533939141561,0.48001044773289686,0.48955635393799485,0.5139018516880587,0.4424407330598827,0.46803745052320406,0.49742366566316054,0.42338440392372817,0.5014970744189552,0.5687510337405356,0.548989942382643,0.4802432533692807,0.6065135828646296,0.7852594063263867,0.8262252471814466,0.6051020042692472,0.38913396169323006,0.45164027924362854,0.4592603318251659,0.45743245238510394,0.548088732192967,0.5431697226378639,0.7800865762813354,0.5342326358138084,0.6294802065195694,0.5776776662219338,0.4580688634995367,0.4541445851564738,0.46811346455920283,0.5193600185778989,0.5787120763892838,0.5461828683939255,0.7740650412427365,1.1467019102474894,0.7368502179961637,0.9741032946593163,0.9153150064629468,0.6898512940057601,0.6307978020164278,0.5047591426569898,0.5308716983469945,0.6637231575146669,0.48171724365269103,0.4825455911141768,0.5555190394304754,0.5090526143480071,0.5681331141224922,0.4912513662937244,0.5256352650459218,0.6221110425816817,0.6326235238824036,0.6036307560764442,0.648008822486822,0.745904839627345,0.7214895196728943,0.7854149002426388,0.8635128918879713,0.8804935746758086,0.9621210855569277,1.038047067569642,0.9321307351105982,1.1817924441391379,0.8923777061833044,0.8076529505011102,0.8418918082175051,0.7998012922168425,2.020412332024693,1.0801034792116897,1.8098760033596806,0.8375823295500123,0.866207543333648,0.8976254217030233,0.939043773007681,0.7493704560295465,0.6847947259700077,0.7699232491807266,0.7677627704489911,0.7883125262895596,0.648704572539569,1.049363317886022,0.6284546422448511,0.6948175382222113,0.9374824688369314,0.612326834338349,0.5778401599633959,0.6955422510354802,0.8335707812329644,0.9509491124064977,1.0588574678899487,1.0464494488179568,0.8799975999254447,0.8813785058142998,1.123374156119698,0.9188105597424977,0.8122552974896171,0.9471815960832363,0.9793351995569932,0.8642498410988975,0.9351814322068186,1.0706405042021427,1.0080533127854507,0.9099616349318373,0.9589492016763708,0.8850855418503212,0.8553051085213303,0.7962878252792214,0.7769202394902506,0.8072757817138083,0.7107090717883086,0.6890127595957964,0.6856115291523245,0.7102718492234436,0.616990384240019,0.654771555618045,0.777754614664823,0.7304660007167935,0.6189839583855131,0.6745574943915673,0.9225770502997699,0.8670495725937382,0.8585301401288512,0.9203464807748193,1.1268898601177157,1.108785845503547,0.8720097142507767,0.7808351204046768,0.7087420420982824,0.8731199745491501,0.7678254472451476,0.7672186649757521,0.8423898433529289,0.6235304179225498,0.4988875494705253,0.46193549117244737,0.4030505991498854,0.46482085235164833,0.6526762726441095,1.0060638285166201,1.4433912075113733,0.883988105769875,0.9716408510331571,1.3044841872850528,0.9536673251989757,0.8040687990074796,1.5166645207202103,2.0644842633449816,3.6012857733672456,5.037168869059757,6.434924265093162],[0.507210342547305,0.3808211264301425,0.42017714411901447,0.42076419486891464,0.3582986994437063,0.36043727061426994,0.28182501776152286,0.30266535400371297,0.2801060027552983,0.29246768089699243,0.3360049327968507,0.43547027579738445,0.37361065980673314,0.40789828490334007,0.5882941215435286,0.5369246471071822,0.5722357336626639,0.653600717715496,0.7914923965201822,0.7268644010211267,0.8269527405102511,0.8248298427004008,0.8819627706533818,1.0388779442240776,0.9092015325016553,0.8329771058198073,0.6689722352680695,0.5843120349761148,0.5891808970829696,0.5671828847066183,0.6527772032035764,0.5346784127396412,0.6906174645761185,0.6667658735900678,0.6016786124957568,0.6237883773407553,0.5739909911168916,0.6148818614175792,0.6002484710919662,0.6197468326894784,0.6712874356247573,0.7064163228525574,0.7219010617140933,0.8092711646146745,1.105742051512061,1.5837218686607162,1.5213196048024973,1.0192097052910831,1.3293654464210516,1.180111323954151,1.1545251702978032,1.673600717278547,0.9550112903538145,1.0584237645599213,1.4567301430726183,0.8328016586036314,0.8975310629103872,0.965147671346759,0.8991164312557071,1.2310099013238993,0.8973998760295633,0.8779108162852528,0.863152336970689,1.1193527609995704,0.9192154644909931,0.8407130658916582,1.002740284966999,0.8134080827354719,0.9958683047265607,0.8773420994099758,1.1199786598852561,1.346732691809974,1.0537967742305405,1.1638176203372885,0.8273196805873588,1.5283998542747805,0.7981973964166247,0.7641917555179284,0.7008761092666674,0.7435186374188154,0.6845766555725618,0.678561472665494,1.0595706190510281,0.6663063313823083,0.8319555483711291,0.6255901815440115,0.6351620617260324,0.6631785197570493,0.6629037913465347,0.735343217185561,0.7261006227960187,0.8914822564096284,0.7884752970902833,0.691183275384647,0.6226089995852353,0.6925576943449481,0.6451464189524794,0.5615485571215282,0.5044434504470926,0.718904515979985,0.520237538505144,0.5278369542676041,0.49095463231051373,0.4666937957064248,0.5399923619330045,0.4622785062478149,0.6370489218319578,0.36687013967784965,0.41503634011443363,0.614912158897788,0.3543351056355636,0.30059674135717734,0.29396532623578797,0.3534927964206074,0.47701260382004773,0.44354073197510824,0.5248558395868325,0.5185433989966501,0.7105327848819125,0.6659947102353205,0.6065713845356312,0.6024681263335623,0.45714584735222663,0.4061667683247072,0.33251218967608626,0.33528601943836295,0.39608270504397686,0.36697277251147353,0.33374172647511585,0.39230451239240266,0.4502378701501568,0.4220402821353968,0.3918150070950252,0.5176839002534599,0.4428006260199017,0.4535904464044442,0.6465964736745395,0.4008235170979921,0.49013258989580866,0.4120350988250747,0.5476538872965222,0.6577867017721105,0.595885325381531,0.5084117085493497,0.5088551353331043,0.5130915412438154,0.43052467900263286,0.42280339525268745,0.36541497665652106,0.33562194785479077,0.42258896547832336,0.5061509099707524,0.7591214317728058,1.5552014841940045,1.1057739214367077,0.527129843762716,0.41178443327141473,0.41235203680078153,0.4251671910261926,0.3847606973674806,0.4319278156386089,0.4636000549581235,0.42947167751299864,0.49013598358750227,0.5003848901327718,0.5643849279923179,0.515336229390378,0.694149486925783,0.8303246837697749,0.8599173755628112,0.6108571867840011,0.3858553586603679,0.432406608307654,0.4199363652810933,0.4213216691956711,0.47080095963390833,0.48831959279145337,0.7102534847996955,0.48847536778973893,0.5183818325921596,0.6177539730004163,0.3858504975398268,0.3984976625274752,0.4496899355814268,0.4870150456198388,0.5606817452376418,0.5228290637751934,0.76398268736022,1.1934358060583157,0.783300345408284,1.088610216542939,0.9327232805223329,0.7236234373647934,0.6629780240539158,0.5094376537378338,0.5420849270643858,0.6543123855687074,0.463211575766685,0.44530676881186687,0.5418917970727277,0.39698616244364193,0.4265037925782451,0.38198108445804607,0.4188994896316141,0.46865598569508965,0.49158899474027806,0.5276605321085155,0.5260860214609973,0.5958438539219444,0.5886394704217638,0.6606712206098682,0.725796904170692,0.7402056193347591,0.8529023122743716,0.9661373178966455,0.8611580417268111,1.1022402925767092,0.8236089653323461,0.7105031234866396,0.7230903012622552,0.6904019476193697,1.8575931385988602,0.9919677892115684,1.6775634656082221,0.6827229812486719,0.702717664317621,0.7400050092601269,0.7624301049011493,0.5994491562754931,0.5568399307205588,0.667672581190098,0.6895462681544918,0.7293569920225099,0.5931664366497338,0.9617535276626277,0.6392792230184041,0.6893790516298066,0.9585117400524141,0.5691018324989817,0.5142320042917078,0.6054660200354909,0.7224940516834506,0.8401110123261976,0.9253015793958872,0.9287623324801901,0.7643843180189513,0.7167604106911286,0.9710707803476268,0.7964143955653298,0.6434076290022882,0.7911144081405339,0.8483585402169413,0.7108999596038427,0.77122327454509,0.9222737454033406,0.8899147968346486,0.7609486518859944,0.8004292022688799,0.7284813568144742,0.6893597607381386,0.624529409695746,0.6078695624785652,0.6438021424686948,0.5614855911404539,0.5368952310966899,0.5458527098429062,0.5945111030444803,0.5022650121410845,0.5345516773664838,0.7118858278505961,0.6320431146503344,0.564361856011135,0.5969330259727595,0.9090443661790473,0.8358136487389843,0.8119860845886524,0.9490998967480188,1.120773732397252,1.0828242590844872,0.8410743171862158,0.7139246693504742,0.6342698358529867,0.8687262100275652,0.7528825748791735,0.7673899763521291,0.8226986908013167,0.5890795272699171,0.46133735055246466,0.4090523889030932,0.3656292837638078,0.3815058627898228,0.5555009693647709,0.8694613170255985,1.388285923540368,0.782809558050813,0.8148728767545365,1.1436590047527746,0.9063961344939843,0.7276666107579797,1.3596138824793846,1.7698333925918956,3.317580557825777,4.511660173037492,5.663681174479515],[0.538992054030666,0.4391053944330285,0.4859702772959535,0.4689303041731288,0.4283251909380627,0.42563657475989247,0.3677571102911819,0.4179430247336851,0.3893752767895335,0.399306602264021,0.4646251490886412,0.5792510956055312,0.5094396448135737,0.5061868498277131,0.6953784663959248,0.6746619613703434,0.6528110603510261,0.7464568444305689,0.8709917369860739,0.814834282366262,0.9161982109363039,0.9062480451677845,0.9927943593420158,1.1406992076203795,0.9369988689783355,0.8993599660220488,0.7385916889670695,0.6582800892371949,0.68988665202909,0.6859376353319093,0.8185318471595975,0.7197107750525817,0.9354138290627757,0.8873417398894042,0.7946040118486486,0.764790732412739,0.7236051610405257,0.7133381635689172,0.6902890600369797,0.7291981085451728,0.751217969882906,0.7823949355879736,0.8076004140532645,0.8640797965143378,1.1102380747479599,1.5353638416846274,1.472792876688351,1.0397934260948019,1.347384541466424,1.1923670513785438,1.2328085751198243,1.7213289764468351,1.0182930002943016,1.1365661668837532,1.5177659355456021,0.9116181241598479,0.9523775081949002,1.024359253398307,1.0073699915585956,1.2938918634153689,0.9907850079056034,0.9986893202955188,1.0098184131639523,1.2439666424129805,1.0147513424746037,0.9502540128791132,1.0960358992593047,0.9338319671901314,1.078467774105991,0.9551815038625779,1.1752504720233188,1.4311960666657153,1.1471786034008151,1.269440762005987,0.9566311395961007,1.6183339306283675,0.9431745052631607,0.9650144756955343,0.8773908328030158,0.883734962825675,0.8474469791361992,0.7965108705403832,1.1061541268234638,0.7820692240472598,0.9127573519131735,0.7168866635970891,0.7511210507196329,0.8208009138380677,0.8108359101912984,0.919774624542723,0.9011452521530052,1.0568382103483966,0.9805971571481208,0.9169371564173803,0.8175880758894812,0.8919667558075338,0.8274191037354224,0.773594247627202,0.697412617724477,0.9158564475452674,0.692835447944227,0.684164912514918,0.6456192151029485,0.6332568222092402,0.6828410077116589,0.5829411640396229,0.7495111465933231,0.4847142747219968,0.4922539650020576,0.7282318828954929,0.4408467530730843,0.40221700204970706,0.39939205009299406,0.43338538890849954,0.5377367703716986,0.4981422226488447,0.578901775975422,0.5650754658453092,0.7672123224866304,0.7204495261350254,0.6449486422562367,0.6210181603522055,0.5200767734152104,0.47135268263338576,0.40023229144385447,0.40114601363087204,0.46770355459227375,0.44717745332615816,0.4212669968342903,0.5098864976418114,0.5242257548518126,0.5074491504678078,0.4900382404424837,0.6091580582111499,0.5347011834351497,0.5250947202570793,0.6566536712142863,0.45232930684103,0.5214862795610935,0.4694036390722007,0.6108337043077257,0.7191555272936345,0.6426396549646946,0.5750271940098816,0.5845992887719891,0.5938597924527802,0.5145970175155089,0.5218376499108873,0.4780725455910559,0.4589511218404344,0.5349075722957125,0.6483756485070816,0.9012927078013732,1.671142313843004,1.2389611477547424,0.7195088312045608,0.5757418555336424,0.5604215365362496,0.5973242923139948,0.5097940567939597,0.531654825111631,0.5760170874515551,0.5054457938472029,0.5921683264223561,0.5934386292589134,0.6009262236043159,0.5422342331459971,0.6846719686938874,0.8165801633660278,0.8661509431141254,0.649062619051818,0.46810376731365666,0.49638304566119956,0.5047409222339061,0.5310181713474115,0.6149476285808381,0.6196948301770949,0.8151684039967675,0.6278138611879008,0.6551376596286961,0.6527867665931417,0.5061233324894496,0.5041963986970851,0.5309004438421203,0.5657193671632094,0.6458317478576545,0.6311294311074862,0.8436859537752879,1.2403253460331842,0.8256823059754834,1.1208604117518268,1.0062438784672199,0.767666748376808,0.7114287308011552,0.5646889501661149,0.5972627173491855,0.6940638986492392,0.5347215226223009,0.5077615362698972,0.5928322411196255,0.4690998635976404,0.5298426939677313,0.46858343899643295,0.4796735176473714,0.5320819579240581,0.5557188301972995,0.5869860080781043,0.582810946308581,0.6437906995998279,0.6382357709804225,0.7074088146401616,0.7707730571712265,0.7861893019421479,0.8933595555028291,0.9979300130354118,0.9063270364958455,1.1287099718591638,0.8600892506614932,0.7495624994333588,0.763889947774777,0.7237024915996643,1.901144281508416,1.0089860135966453,1.723015864670962,0.7514310975396828,0.784924604698898,0.8248360341883744,0.8659351914845165,0.6742054036301727,0.6202719417854687,0.7359443030770525,0.7469145923636511,0.7540007462985712,0.6273649320176656,0.9997989444880555,0.6446044773228938,0.7018584302410947,0.9879617649080006,0.6092334822268811,0.5964176170661124,0.6889787972516045,0.7938500837898362,0.9417026600070586,1.012690863572966,1.0527327992930857,0.8627367901122581,0.8176125702594068,1.0874315576620615,0.8929774127946413,0.7236073313723339,0.8645336738915607,0.9105967763569381,0.7701245805081752,0.8323882164969483,0.9811524353102813,0.9321693352562717,0.804102456661916,0.8477629909277876,0.7729677246745222,0.7438509933961793,0.6871128173397035,0.6710901597195723,0.6875960561277813,0.6071119679581634,0.5957871283588556,0.5953209146146917,0.6401618844232999,0.5511505626283912,0.5819375889678247,0.751184532740243,0.6780090798401327,0.6057355708196905,0.6356716904685853,0.9420314568310862,0.8879040399842171,0.8661495815989311,1.015341621678041,1.1857420775730898,1.1101556757253424,0.89241967764806,0.7613932418545296,0.6926962421148734,0.9369191322508363,0.8043271266019445,0.8170815233099401,0.8441522423164416,0.6296336568800444,0.5170800584623351,0.4763769735711131,0.4420977176646092,0.46228134073647686,0.6258493305134547,0.951908326703151,1.443177349412974,0.8397717341871017,0.8805819042490046,1.2421560930088773,0.9676734583882585,0.7813131944348221,1.4228806948286281,1.9108541107227028,3.4856968605005436,4.809277989880735,6.076429322280902],[0.5314134089350299,0.4039589125251053,0.46528847619402075,0.46106279161733904,0.38037862559361596,0.4172049635515687,0.3391206882071373,0.3621223907285595,0.3406536733976048,0.32453259804962176,0.37260332495929266,0.4972301587894687,0.42363869502487594,0.43097207248844827,0.6491534445771449,0.6195083034982882,0.6044187689247956,0.7285246210870862,0.8666748922266412,0.8093063737181005,0.9254187046602662,0.9149022774724946,1.0074919462269083,1.1495355342121438,0.9229503746372724,0.8924107180085861,0.7101148554119607,0.6216610205162648,0.6510915369470358,0.6370480790855401,0.770998808800738,0.6427756961510613,0.8596644499160228,0.8284537963396599,0.7431831930012163,0.72964584266676,0.6745323254225181,0.6865116011378702,0.6503715459656318,0.6914133118190349,0.7191734870819588,0.7765244311005643,0.8151894670439283,0.8403980586905215,1.0708787574098526,1.4979163237550122,1.4285136310900348,1.0118714105753681,1.3116739726732305,1.1314790616947394,1.233993872822218,1.6442452463628325,1.0128969466167768,1.116690904619666,1.5815777115448384,0.9444249503512774,0.9905581385500902,1.0725276743515078,1.0548099897606302,1.2908029968142143,1.001053154348868,1.041206178632994,1.0396473885595405,1.3266779957118482,1.0594500021081612,0.9751040143127775,1.1049890995882166,0.9291789774515037,1.0674433450642076,0.969243210526863,1.184517732655723,1.4652976344587647,1.1821545647458884,1.2969500865993424,0.9732437918399753,1.7058150725384362,0.9608699152461346,0.9557994731634731,0.8593629158294065,0.8829877154825654,0.8228138579289868,0.7854650641326941,1.100170677330735,0.7616918511470665,0.8584660686815699,0.688554638696335,0.7212475957935396,0.7801931278007009,0.782863466757528,0.8857426513948735,0.8851936393595653,1.0340042699548673,0.9479764874951448,0.854108384673279,0.7434801225803154,0.8113271476780601,0.7144424165785662,0.6709890531733989,0.5986906530745346,0.8237756265826711,0.6157674527182215,0.6198067372162491,0.552870521682375,0.5943597100904483,0.6566116251530926,0.5417869201911267,0.7174685050595851,0.4340167016275609,0.47075630840787075,0.6791659957542528,0.4038297136870523,0.34647749220820356,0.3260749026280107,0.370768685156318,0.48028698988714463,0.4364094821537446,0.5280207493420271,0.5224676546729443,0.7511936084003197,0.6843107271190962,0.6084317184860055,0.57589426633663,0.45495257915585446,0.4110490662956953,0.34045403664687623,0.342567533408496,0.42163822346083707,0.37198469729217293,0.3610826954062306,0.4467003231971436,0.4649210369684054,0.46421018692587557,0.4092134376118283,0.5840004158442021,0.4564363524760861,0.45027705977275756,0.6620618926056675,0.4035752905331647,0.48989988335546575,0.4170898316758808,0.5598476455859084,0.6896569825577876,0.6162415787861112,0.5127223389690907,0.5269108975241702,0.5285751483484361,0.4399127075131827,0.4532807409971051,0.4195517051639153,0.3823084493700287,0.4762145891766545,0.5921937210127962,0.8942225516139405,1.666761890591143,1.1170254524145293,0.6498783790410908,0.5044815288938346,0.5121468121181699,0.5206648850927266,0.45896868254916556,0.4640377408924328,0.503852005054278,0.4328650911290079,0.5262394485895248,0.5307953688453126,0.5649428346051724,0.48904366329854604,0.6556757843351453,0.79276516752402,0.8480661358607707,0.6067224952559933,0.3907368476687384,0.4315577373478908,0.4426303314593218,0.4621310416094526,0.5339542284272141,0.539638800210486,0.7906723083371695,0.5525846708868978,0.585387028776582,0.6100246297443792,0.43956674521401595,0.4333892851977695,0.4562014606934151,0.49074258204806026,0.586828926245005,0.5734246858302584,0.7763247719748609,1.2081984070843839,0.7591091592784736,1.0664597987854174,0.9298372500959674,0.6879508780233798,0.6332551356487495,0.4971605691099841,0.530030057063158,0.6644155061735173,0.4660017604438877,0.4550075657234795,0.5537468274963331,0.4652083751053117,0.5163969570615594,0.44221898983231156,0.4918389544372299,0.5616669057527676,0.568792668710452,0.588292522580533,0.6140758205784214,0.7034660476708241,0.6762666453558291,0.75394868098515,0.8386338087404767,0.837229372358876,0.9312632233137138,1.0497585633649276,0.9288271890972882,1.209244705114841,0.9257461531596327,0.8110159941842432,0.836351565252916,0.8054964260858276,1.9320786209662049,1.1064247573519284,1.829827437571279,0.8031838884711796,0.823302524758103,0.8406182289093345,0.8613025084618975,0.6922327823199801,0.6291553270709742,0.7218069792524435,0.7251945288128775,0.7740485704657785,0.6317811926136562,1.0124114050394737,0.6589152885958971,0.7216851159675037,0.9790153245007867,0.6031314030512158,0.530897334174536,0.6390041726589115,0.7765927122952216,0.910873743940816,1.042892914691872,1.0209922137247496,0.8412684816743035,0.8394457305322953,1.0966889273389024,0.8913246128702326,0.7705896764799696,0.9193688050993614,0.9557701708171977,0.8287455735705161,0.9080623432626919,1.060184122408978,0.9846074063605131,0.8917763382782684,0.9482187836434248,0.8659567986137484,0.8294782770987149,0.7535319215645554,0.7315007311016386,0.7843346512875135,0.6722626187994688,0.634048537671526,0.6569930079976644,0.6923711161758039,0.5846155191896389,0.6265908170125337,0.7834444873922426,0.7213441333739097,0.6159816557592184,0.6669311519128376,0.9649006953803024,0.8894633345457967,0.879387803092962,0.9817393378100289,1.129063117679681,1.1827846608995791,0.9063008434161948,0.7839852596404365,0.7058684064517181,0.9055915726815633,0.8082168219951797,0.8207821561916032,0.8819849874720619,0.6502087538305477,0.5132826494589411,0.43283112613453156,0.3784172811699435,0.4340661584653712,0.6246859962971066,0.9728819070898714,1.4329895467144733,0.8113925333105425,0.9130369331634517,1.2263486528993588,0.8880452044078826,0.7643664403605863,1.494346416463512,1.8862898707106834,3.3364328510098074,4.619242706842462,6.007484435153722],[0.5097965072078701,0.37708367764055767,0.44073221139085894,0.4300551290963469,0.34236674510144105,0.3843505285824024,0.28421500935364463,0.3150990626715548,0.28390404452810875,0.2800691640131634,0.3434562425506842,0.460897586996052,0.3822875918993706,0.40809279236991847,0.6287498415678912,0.5751772492506124,0.5713185499258085,0.6754739760543138,0.813590200077876,0.746074915567406,0.8563773276064476,0.8498680973571161,0.9169676787520061,1.0389297259023582,0.9042467108283293,0.8379052850065359,0.6570228850831424,0.5762448348150616,0.607317173657425,0.5891098545270249,0.7163440018446446,0.5869782932024434,0.7867626293034383,0.7507924755449599,0.6750807166704819,0.6684756410901486,0.6089205029055437,0.6215898826148485,0.5896920669349641,0.6161583961964345,0.6561638883100356,0.6998153769003486,0.7292307641787156,0.7838563384817531,1.0538444414602333,1.5440840589315403,1.466344405670206,0.9782651714362136,1.3150348090300423,1.1498735444316068,1.1544917701985111,1.5950861056609937,0.9052214892318957,1.0111329122645154,1.4798903946213875,0.846175544238447,0.9225574373049994,0.9711687023934111,0.9489770005861597,1.2589520399459848,0.9372467949443521,0.9357992564523244,0.9361686605021524,1.2025577180656069,0.9674319610163391,0.8892298628813063,1.0522950865426577,0.8698029132942188,1.0439838074252756,0.9273604947245141,1.1691816353099744,1.4387768488440895,1.1353512275748532,1.2414587616423223,0.9003050881198071,1.6233808114109858,0.8708515248177261,0.8615355790086272,0.7743992121089288,0.7971259708969467,0.7466411483825754,0.7077013972701681,1.0777579865206415,0.6870240038762916,0.7973940325944552,0.6318337115905258,0.6585697062887447,0.7207695212013493,0.7112630385619075,0.810950572399491,0.8093738043491024,0.9843481712535381,0.8786316000167651,0.7820423697147171,0.6962127659057276,0.7723594265009076,0.7039941268634127,0.6333309786047854,0.5664665208143241,0.7891551041784914,0.5748453291965041,0.5819347204894322,0.5027892159043795,0.520340887856493,0.5834473329643283,0.49756277563728263,0.7119440418133008,0.3990809821357794,0.4590970884192369,0.6502358538615387,0.3853241197098087,0.2992796546560337,0.2818343403304587,0.3329541737665563,0.4568257123631711,0.419559213668203,0.5042641166865685,0.5034340504284099,0.7072079873364773,0.6591674394705238,0.5950875874841158,0.5746105752297442,0.44306717371604165,0.3853032441310403,0.3253940618197577,0.3128363593268858,0.3854641101616077,0.34403021213919377,0.3139251099119057,0.4004333125328084,0.4411444511733623,0.44312458670697724,0.3866758652048609,0.5481516432914768,0.4355627420209101,0.4558806016219046,0.6646302539479826,0.388500362643781,0.48317618771897614,0.39716059475056037,0.5471560707399715,0.6641072188722937,0.5934844491190151,0.4847961677236238,0.48516775754237035,0.4908800397849048,0.4009535761989029,0.4181732820064648,0.37055378942466943,0.35052998219536413,0.4512521294314771,0.5286370518537585,0.8418359653138102,1.5980094686862678,1.0724793610212724,0.5853682394540834,0.45071739105275915,0.459801912721018,0.4631030975754078,0.4081978187391903,0.41126274513903677,0.44998202509988744,0.4034399501643811,0.46874167701618696,0.48154238999919263,0.542387373016669,0.510642040595995,0.7089752270507557,0.872362606535545,0.892635181340099,0.6343154852088337,0.3738076521275079,0.41153502680439813,0.417574863029189,0.42039378783643533,0.49040831016871317,0.5015825662935401,0.743435901761426,0.49402948264295965,0.5608747386822113,0.6002826534924272,0.39779007891026497,0.39854307563619895,0.4306029079473402,0.4781258013722489,0.5480409821129172,0.5241816253902059,0.7397021432519476,1.1878263421853643,0.7589210453499218,1.0552854568773866,0.9267592026121996,0.700548264635345,0.6390923998654576,0.48749812420827304,0.5365588344411321,0.6400546473647722,0.454199048812728,0.4521789741090422,0.5452428116494982,0.4453732334143945,0.4788632874008136,0.42080761995993576,0.48311679098796917,0.5519523844463621,0.5586610228887038,0.5784053942573217,0.6077043465475083,0.6932725122434236,0.6622628181253165,0.7432734279609684,0.8294881894718154,0.8243293625129637,0.9119427788886019,1.0410782153702978,0.933351136045716,1.1999590485678793,0.9289443723704931,0.8094196588776582,0.837669767521495,0.8200686037959928,1.9047118656211208,1.1199072966288115,1.7874287315659971,0.7815199771359178,0.7958033186807214,0.8191856218441299,0.8296449542266069,0.6925515613597842,0.6245833484886332,0.6995993938399083,0.704110846593732,0.786082174008664,0.6292682041608062,0.9625714751247324,0.6706240962138664,0.7340148382896967,0.982538638449236,0.611225804993494,0.5053835831726691,0.6030980211002563,0.7370973401325019,0.8532394985574092,1.002445034961278,0.9590225937470889,0.7946793065439874,0.8184654794116316,1.0674900250034782,0.8591524227072455,0.7520157085608273,0.9150309459693475,0.9617969711512188,0.8191865498080784,0.9046102854692463,1.0564191235485105,0.9878958059095498,0.8873890155719684,0.9423150742266653,0.8589057252842227,0.8199718304525353,0.7408980821474581,0.7170641300419287,0.7788109225536072,0.668032332057967,0.6217992502728944,0.6572246118237726,0.6928036856030788,0.5843072788813136,0.6269330686509905,0.7964726790739265,0.7236599302982346,0.6294865903485393,0.6796977919760921,0.9870883742705675,0.9003223838495785,0.8897645355683496,0.9889153306485463,1.1366444322596874,1.196807665620785,0.9207325742445474,0.7826053457948324,0.6991167946674337,0.9040012135932973,0.8227356171260327,0.8437188450458758,0.8902065913031612,0.653735486821039,0.49991302907285706,0.4251012696515448,0.36203583064350686,0.40330939210367694,0.6150397128818222,0.9430985578208422,1.4071387353229678,0.7925031596655657,0.8916169738850745,1.1777647124744455,0.8777824687142408,0.7422417095765368,1.4514155244569564,1.7133673115831,3.08478086071953,4.2339725843515295,5.5138220676700955],[0.5320474651685202,0.38953920405966536,0.48477288750050224,0.4466829342684155,0.3582727702951561,0.4293302303503555,0.3151380283346605,0.35401762090683514,0.31327582727092573,0.3061902305400815,0.37636271956499545,0.4958916574199097,0.39363062095231943,0.4076348088355286,0.662673451351754,0.5817170480760879,0.5489888872034526,0.654290156459418,0.762967075765495,0.6989676809989605,0.7747600520195089,0.7732718944013478,0.8336238557517666,0.9608511806957203,0.8666823306722722,0.7865609064557779,0.6005943974109794,0.5402073292098205,0.5811486312435491,0.5816686083707031,0.7041955125208391,0.6071689582175641,0.7746357195561372,0.7395715725893163,0.6708915046132483,0.6488501786752966,0.600164831633321,0.5884431787806891,0.5450313896548028,0.5788489314302332,0.6006802037979303,0.6481811040509062,0.6634640303641784,0.7257330492295491,0.9985659420754248,1.527108738402931,1.4060703723027719,0.9217095078789204,1.283902409839686,1.1090976428049457,1.1012772800889656,1.5328408569048688,0.8816572110436939,0.9666473137293133,1.5125341810705153,0.8227627548121835,0.907458663982713,0.9378732624036219,0.9281830964194066,1.1913518052779464,0.87820887479895,0.8955639185679872,0.8998530061765712,1.1426555965797909,0.8907594407942523,0.8399928288613331,0.987696443863004,0.8239872166425443,0.9863231486917653,0.9050678479424281,1.132664401096163,1.3910113401426818,1.1194922020662643,1.1747748625110936,0.8846391987178527,1.587624958016309,0.8456666762841031,0.8440140167153214,0.7568128362010279,0.7705755462994593,0.7212377948293507,0.6983613735297413,1.0581905796181423,0.6890912825031497,0.7574118985943471,0.6214390700517205,0.6289406784902896,0.6926881935111973,0.6837764404155778,0.7934369136894169,0.7997992068849543,0.952279718759143,0.8597191207554116,0.7840370796196365,0.7088206447834549,0.8013320183796969,0.728214840881033,0.6695707412881872,0.6089952102122407,0.794075350095097,0.6155717096608547,0.6166169099987333,0.5157685689954841,0.548595633451484,0.6136967411913063,0.5225610910098302,0.7503892813310562,0.4664747752107199,0.5222937382613416,0.6707319853143024,0.4449086716099388,0.343210857341492,0.3162399149829925,0.34180421302348674,0.44947671378940085,0.39669799854169435,0.47839300045284544,0.4435382557255791,0.6382347262441656,0.6238433125370352,0.5516054836306113,0.5356508992499318,0.4011506683495557,0.3668285111078302,0.33142450424783915,0.30568352260260917,0.4167604438869823,0.3890293015718197,0.3663817213979629,0.42937415913363974,0.4651859625636407,0.48187227100618846,0.41090134666045774,0.5860495004750577,0.4489847135168006,0.4640985182834965,0.6823429497986654,0.36845987136483527,0.46823588535778415,0.361502219954094,0.5019139687652788,0.5917592835627987,0.5290211097206027,0.431575964747293,0.44323235990775073,0.47452707094049207,0.3835782607791151,0.43270287858319695,0.38004595427676624,0.38279728172425626,0.49616287253728497,0.5427053442345652,0.8679705226397607,1.5551924112229114,1.0197689496034015,0.5979680547750994,0.4964963496561697,0.49932336250811427,0.48542927065005986,0.4305627132741617,0.41308312569571437,0.44836869497170173,0.3753794161075451,0.4360912312531178,0.48203694355889065,0.5260239675343373,0.4978317824950085,0.7136508379367857,0.9091322383941602,0.9141353502338335,0.6445912176252939,0.33826074606507905,0.41860709061391316,0.4310159536845073,0.42080715494564974,0.49361527780561626,0.5109615226265795,0.75553979234424,0.49528876695477025,0.5876420211820994,0.5881204428434698,0.423914504215209,0.41580972149714207,0.43627286328904796,0.4770309241939951,0.5205021079994864,0.5014661965237599,0.7075452556330604,1.1559386867417702,0.7408828822671695,0.9895657647485474,0.8856687640581132,0.6829546147247022,0.635466129985345,0.4978069514015435,0.5484798599460551,0.6611405024926692,0.500854902136496,0.5015622516237995,0.5661266291074057,0.5174555752084005,0.543664291357826,0.48031167957851184,0.5610265899721802,0.6348439356695985,0.6307996654093213,0.6514794825489985,0.6980670053973687,0.7628985090141498,0.7386271614428923,0.8276895477962358,0.9051123747291637,0.8894015292432527,0.9915471369667114,1.1047725192713658,0.9933045173358069,1.2588095462211173,1.0060745878799877,0.8921233053910813,0.9127862637639969,0.8925678707473842,1.9617201584416175,1.1841137630665692,1.8460588954260804,0.8501256097479005,0.866326916128292,0.876285458756846,0.8992287334396091,0.7672091302691132,0.7021915673154732,0.7659206472996469,0.7688778390826351,0.8669112530315096,0.7030405367989971,0.9959767468906617,0.7151754419345457,0.7687893605572779,0.9763190519503432,0.6560383967729718,0.5387878575550865,0.6384018988054063,0.7936155462581345,0.8838831899331282,1.0453545257392844,0.9760292364705145,0.8305228140993207,0.8754628187369615,1.1109771661814747,0.8948578331725427,0.8061247990648363,0.9543871722192132,0.9941389516419636,0.8641965730293413,0.9512532794992404,1.0922287414713678,1.019535237037727,0.9377654551256461,0.9902366677505173,0.9232104789939768,0.8806725794755015,0.8041315373305986,0.7886456717318897,0.851394415818893,0.7477613615111088,0.700039619576403,0.7395722887534976,0.771885246902612,0.6666751682709798,0.7121155285593195,0.8670663534076768,0.8097933503683377,0.6925180707841784,0.7618220453233358,1.036218767952312,0.9698964288025765,0.9675572572670544,1.0268456415233629,1.1698160710749952,1.2721416238651777,0.9921704359111664,0.8700408083584178,0.7825982451429556,0.9570977047286372,0.8894877985794198,0.9073830831827485,0.9484742335732829,0.7145766890415508,0.5555203998123633,0.4749522610584623,0.3921725306525818,0.4534665377331013,0.6640010489999039,0.9915679975481695,1.4234126499254078,0.8017323594829656,0.9459952497759933,1.1914223381654365,0.8578606392835397,0.7658448370764878,1.4951912426210872,1.7014454409576192,2.9922593052733064,4.1342965937771075,5.436416745001987],[0.5202973426145963,0.41197633335116185,0.4491499244397238,0.4555039793775516,0.3663809470669642,0.4004791199026621,0.30102440124319385,0.33597859808346936,0.3127251201224616,0.3040706677706404,0.35746421041509346,0.4625196494538875,0.3523768195037523,0.3888898764343398,0.591800384071815,0.5139838145005892,0.5099938021897655,0.6134921111625518,0.7292779903711244,0.6727949556426701,0.7704403177952475,0.7726285383691607,0.8188528215873911,0.9592399976933002,0.9064563481572797,0.7914041821551574,0.5990800852855427,0.5201223090122633,0.5409222742723869,0.5368224222008586,0.6346732036559766,0.5350033718038355,0.6902808916349982,0.6631115962439579,0.5996446180205902,0.5879029603066116,0.5357817209699736,0.5484800730338233,0.5257544933341906,0.5385774853245027,0.6034102128253691,0.6332258567827358,0.6431220074237333,0.7502665927829308,1.1148775931868253,1.6418253768852842,1.5943433087479149,0.9857337538051515,1.3244987418884955,1.2056154468090985,1.0631168499459633,1.627151968846636,0.9072789082793452,1.0024256010092987,1.4101980958244495,0.7496344469732074,0.8394813210498299,0.9091411507346971,0.8537433634236886,1.2004650155565837,0.8670825656825513,0.84122496579979,0.8311837057122395,1.064741978778611,0.8694463489739154,0.7895702403545574,0.9738641632049045,0.7854434700523724,0.9777400662753171,0.8594375958290299,1.0939639779632488,1.309313633316899,1.0416474957558801,1.144445597672496,0.8072511172524444,1.5180979959975156,0.7668630192777425,0.7520573791456929,0.6721640887561688,0.7032928317137085,0.6445051002056448,0.6301359617613128,1.0253780297138895,0.6006233833524534,0.752283448742328,0.5706316258355625,0.5774202650684157,0.6390001398502011,0.6194230144218446,0.7166832013335805,0.7140249042132627,0.8893227505512811,0.7784036172727722,0.6982743585781319,0.6345399709751874,0.7163506686514446,0.6611382204605121,0.5939409227406954,0.5422476292033094,0.744725469318067,0.564569985631458,0.587731097768087,0.4733151444020138,0.4764778453231642,0.526120249386833,0.4631836597073841,0.6970733514196499,0.39971871380518553,0.47794454946104625,0.6461161069834104,0.39444488248965526,0.3145547895934411,0.3110949334235057,0.32319697732126224,0.42068639567026617,0.4045013949398588,0.4699446602177799,0.45865603432332364,0.6507658563036554,0.6210063230582014,0.5520015423172928,0.5537391087488918,0.42795610393052247,0.3770392910879375,0.3160554133064042,0.3180949265738151,0.40600895248510915,0.3601219279644058,0.3318635822667419,0.3910105040951303,0.47437642839517646,0.4555633581274258,0.4039074359336712,0.5204859045407186,0.44025227898446784,0.49125831385189694,0.693286897617517,0.4031650618196793,0.4947011286347382,0.388316443123771,0.5240580265234207,0.6288214883753358,0.5519460673011426,0.4494800133232422,0.44246912021273327,0.45671582900277297,0.37185928107849175,0.3939008927887564,0.3527875298312507,0.36268517193474675,0.46418964992736783,0.5078237337496865,0.7863283241813551,1.506008376894813,1.0406111376589806,0.5521372404324061,0.45255022481673873,0.4563093892254944,0.4177705427609075,0.3942138441065241,0.3829485641327794,0.4010930628910759,0.38469823251121416,0.4139989191012291,0.4178859505427699,0.553770646832123,0.539405929293838,0.7986857695751454,0.9700549576554292,0.9581339293743876,0.6798486931732863,0.3592845453469398,0.3858846183304977,0.3979579158079042,0.38818998115996045,0.44258668773427956,0.46740473507362246,0.699824699164249,0.4511224283675767,0.4921570374865421,0.6363120978675476,0.3687319568439803,0.3870843773202853,0.42771267846920824,0.45474195673468415,0.5126009976656005,0.4747734263519499,0.6898511953543796,1.184747446812012,0.7737421533462905,1.0714564816114953,0.8723645589406596,0.7384387794723943,0.6946541963351341,0.5374639247516557,0.5980041838015242,0.6869774796521194,0.523658563210482,0.5098900546590144,0.5904837018887781,0.4585733102212955,0.4427528214782165,0.42404071652955094,0.5016347167110606,0.5306651295873627,0.5343068423981013,0.586872062809032,0.5964746378198335,0.6498288574370933,0.6333979605613915,0.7336551747403696,0.8048988342259792,0.7914409492793116,0.880924574248328,1.0340392682120016,0.9239926603180939,1.1713450565064658,0.9382437223693584,0.8176062275868442,0.8273888321947671,0.827804802074575,1.8136299165273648,1.1429508886128696,1.7416574273237155,0.7440475495948212,0.7362802798037867,0.7730668346229987,0.7767253441366182,0.6748621134445681,0.6066098978250914,0.6875050137201382,0.7187517457300014,0.8427488244433945,0.687061289802957,0.9493251232004599,0.7672739620366936,0.798727554836371,1.031737667090323,0.6640555213226031,0.5286292546347539,0.5922258056042452,0.6914481028070452,0.7800950346231701,0.9150615547384895,0.8674725564249947,0.7292447721629748,0.7331866661796359,0.986097182646613,0.789681245725624,0.6986722569701337,0.8600487759550265,0.9205850654368251,0.7723382504723941,0.8407731790889651,0.9974296579803615,0.9520376133887986,0.8275306846142784,0.8776434027219898,0.7972604602452151,0.7536619950502483,0.6804363693373455,0.6602689132723927,0.7269998332993868,0.6373749305258533,0.5900003841143877,0.6370389916781231,0.6855302337573556,0.5862175151649903,0.6350608287580839,0.837272706572822,0.7408354004191698,0.6587528651219641,0.7204172520896334,1.0302224809242893,0.9493933383517367,0.9316619013921271,1.0395587086536915,1.1692778151630188,1.233821370886554,0.9517182950298367,0.8112739703730886,0.7177533195838627,0.9280271751194277,0.8694903984795487,0.9036804105294896,0.955978126934327,0.6893053593416946,0.5493173019486569,0.4766800944525716,0.39101880897106367,0.3961276133396347,0.617750461387077,0.9027096536468167,1.41201891003641,0.7757603832179119,0.8282272568144753,1.0607655049623512,0.8395707234512547,0.7041466802140584,1.374558649778245,1.5063691029425672,2.792823323205473,3.751847651027728,4.851744048729459],[0.5723019567318677,0.4577479879996962,0.5230752363260273,0.47962676258134124,0.39042644349135025,0.4327334049658107,0.3469676351199564,0.41970780255317347,0.3759968919536258,0.367011654855111,0.43838884362511776,0.5704698466087096,0.4282718749970142,0.4431824465927489,0.6749932957915504,0.5795965190565808,0.5419647467325164,0.6385511267452629,0.7204145260313356,0.6723631480022725,0.7265104732100536,0.731208565081238,0.7768273468459534,0.8988292094985461,0.8788643069725054,0.7540651431106637,0.5691423766513933,0.5211149244224306,0.5674956877713913,0.5874129681248527,0.6888142963275137,0.6279150396964492,0.7599099331182155,0.7319566438806506,0.6636893583833334,0.6336279194640136,0.5959232565304875,0.5562386757644808,0.5136520461758559,0.5474219207705392,0.5799314084225312,0.611152922145415,0.6101983572011773,0.7245496130145747,1.04834207494254,1.6268461289606502,1.5205611767021994,0.9416876103737145,1.312006121739255,1.1918773871266672,1.056664683240295,1.4883833986126649,0.8595069622240955,0.9054830043580713,1.4527261240828695,0.7665446469466838,0.8768468937982591,0.8912864742211405,0.8820922656590323,1.176109296801423,0.8465933466269048,0.8274112495448098,0.8301940868588583,1.0469412252728127,0.8220084846216241,0.7713533567482302,0.9450662828665357,0.7940824429145191,0.9552386064358005,0.8823935645511268,1.1296171384725746,1.3473898561768853,1.090133859936117,1.1248339133531025,0.8502838794318591,1.5018058635297604,0.798739400477812,0.8057763852560179,0.7153325729320948,0.7323143229520775,0.7051843475545919,0.6830976677194508,1.0760850874642007,0.669234371740631,0.7355462981509713,0.6167025452281926,0.5929660098813835,0.6790107980792687,0.6500150496979149,0.7672746473781474,0.7707501975760371,0.9196541844122257,0.8356416498808732,0.7746165776649545,0.7127021965816984,0.815217635430639,0.7531188864677443,0.6970138217591019,0.6567433915254484,0.8448069596341948,0.6651456634511919,0.695023536603188,0.551200163419282,0.5876357511588568,0.6505181756079652,0.5795626437792707,0.8148152666541046,0.5073783448508231,0.5602987922494953,0.677808095458699,0.4957031547815855,0.3736618103858029,0.34890786983716343,0.37206431425888753,0.4612836932031148,0.41392614752688073,0.48598582852127903,0.4380584437763103,0.5936893845320774,0.6224386899452052,0.5354624946685038,0.5368759190608652,0.4042760170564838,0.3772272622251889,0.35221216131769884,0.35425179235743876,0.44128048869630415,0.4170292466741619,0.414436852157026,0.4723664758532713,0.5062224877129374,0.5536416652493334,0.47350946411676886,0.5993449092724987,0.4854732579481341,0.5344152653456036,0.7680271441356815,0.4457222551648774,0.5008978068020996,0.3867116817844909,0.5125793543336894,0.549017524071784,0.5166862912026889,0.41675640955266374,0.42254468781120974,0.47341390475548983,0.39489610358386995,0.4655245472378865,0.40975755589015733,0.4344576633271693,0.5458518065770931,0.5602855183408644,0.8912912409887308,1.4729253525138177,0.9859544245947163,0.650935249247139,0.5614293402668624,0.5599737669537098,0.5224477031735028,0.47036601199156897,0.43512910864517695,0.44460303565375786,0.3727483439644187,0.4136457339359755,0.45828446927347405,0.5708943321629543,0.542461677195615,0.8398210001880317,1.0527483450895991,1.0215514566696196,0.7100531212873176,0.3850435898203641,0.45132684126081285,0.4814239363042209,0.44812228543796173,0.5227045626848582,0.5232501322614599,0.7624552954467788,0.4980157742484405,0.6301470766362601,0.6473844899785005,0.47145223126624786,0.46707077443385236,0.4949027302093107,0.5138446911170534,0.5311973727410934,0.49368234184556975,0.6998418047686338,1.1989998907035524,0.7429225336902398,0.9703510169970264,0.8638723607846748,0.7409865677919889,0.7044288768078246,0.5574583441947736,0.5844827780285861,0.6767918035824688,0.5507684857825277,0.554322851068162,0.616917106011945,0.5600765486967507,0.5416615280727164,0.5120488646969573,0.610109506308337,0.6543741009529549,0.6303980835124603,0.6835361111323381,0.7348445598941514,0.7810818523061805,0.7562831599343058,0.8738121303349053,0.9464496099662544,0.9084329994375956,1.0006580887036998,1.1523289596057118,1.0505225941914085,1.2895531415681332,1.0866868826591105,0.9614153962368471,0.9654575955731545,0.9784849738266932,1.9053897849970447,1.2433393755167246,1.8173020014193806,0.8626791584223814,0.8709512719720217,0.8763788813556289,0.8827680220372379,0.8144097952852184,0.720286175049246,0.7603214500479609,0.7788132073455315,0.9255071233381337,0.7586249502961407,0.9734292241446326,0.8242956186493784,0.8842268201162966,1.0428484387981267,0.7643845590917779,0.566860456702561,0.6223310681980341,0.7297686141133259,0.821317281674192,1.0091738016963308,0.9279649247128199,0.7981541838630776,0.8545359352325425,1.1014207261437812,0.8632346711222755,0.8144582616281382,0.9967032925157197,1.0457419363263734,0.8854063112069241,0.9753619067056011,1.1238429407162245,1.0586362906902471,0.9557877480856105,1.022251677984986,0.9439105417871213,0.9018622840573983,0.8215261007397491,0.8162465797116658,0.8816831004588632,0.7819359997502303,0.7266906979732617,0.7958935143373248,0.8392342964607064,0.7279144602029426,0.7784673522149188,0.9660386880545434,0.8691241998402152,0.7716877664723107,0.845351504351576,1.1007101827969639,1.0322745571463814,1.0374194443526927,1.106038042419822,1.2282201404150905,1.3703404386880482,1.0868801680219033,0.9301131497933142,0.8535095222738789,1.043218952331867,0.9995267869722352,1.0327555828803134,1.0455184277950509,0.7951924372249912,0.6212121847770337,0.5352417509324565,0.4380683202625824,0.475650655703263,0.6900106292595577,0.9745003254832927,1.4767345065671778,0.7949908065373235,0.8962076289772628,1.016280589792276,0.7859282343269172,0.6977727302061355,1.4268545457128499,1.3730527582128749,2.485548318012595,3.4295418473347836,4.56855266243063],[0.46729025357834736,0.34468810628998636,0.45884446242921,0.38607269976195685,0.31172548579680337,0.39088122217630095,0.2982817574973111,0.3806810370882788,0.35290733574561095,0.32677021486574825,0.40131761923388415,0.5494720616166295,0.38640216008055767,0.38772284704498455,0.635502433191878,0.5302616000852934,0.4863870211296075,0.5744234677564187,0.6317588856534166,0.6010148943899672,0.6541098519461245,0.6658353366654155,0.7001789162281994,0.8050851174338748,0.8189950333324448,0.6604663678020158,0.48971725525173027,0.4451955775370408,0.5024411221385646,0.5223183698814505,0.6322540582311357,0.6013339742009455,0.7147033487854,0.6877176269482146,0.6133264907655742,0.5747170610829946,0.5358065873344497,0.47449407711521396,0.43549599511225334,0.46790736608896283,0.5470296382750055,0.5257157113138863,0.5112004776312629,0.6449149665050786,1.0667631449249173,1.6940646839500573,1.5832748919660211,0.8877473086954383,1.3120011005097063,1.1633238410502043,0.956988627018973,1.454787365751793,0.8319859428104888,0.8525976340624724,1.4018392025376358,0.6951930209396514,0.8173167586261918,0.7936792583962547,0.7971514771646262,1.1129602443786115,0.7667808232155071,0.7440694053662538,0.7562332148570968,0.9330303476296987,0.7243051300713222,0.6819874325289652,0.8750737433614956,0.7180867595240409,0.896267754371112,0.8207688469877746,1.0690021333448554,1.2939792193516109,1.0329587808623348,1.0573362870303677,0.7836285933839534,1.4380033465610647,0.7185453641241994,0.7351448227038332,0.6457585178655125,0.6693291626000863,0.6340762810612628,0.6180500340933265,1.0172177690756365,0.5949968879215438,0.6661754405579,0.5557566121823082,0.5252269722179502,0.6160201503557945,0.5855756742248966,0.702504173858922,0.7061286566754326,0.8618862463203074,0.7783667318522395,0.736921908570879,0.6728273499829417,0.781811772351068,0.7342919173679381,0.6829132395194796,0.6458344756540318,0.833242242214424,0.6451193786123373,0.6759788299529553,0.5178935662056261,0.5401219350624776,0.5772802607459141,0.524018432144819,0.8022325893906211,0.4875441450415728,0.5459066761455406,0.6575895523248052,0.4609254371225254,0.3628781607092553,0.3086850620642367,0.3251506718462962,0.3910110477110424,0.34282820795545504,0.43664247081855856,0.36015364095281877,0.5250139150139017,0.5536299043071615,0.47511009537976906,0.4705816320867492,0.35754252571552075,0.32733543234185436,0.3059301007970908,0.2920797814192906,0.37423078308153535,0.36956205230484923,0.37635428180298247,0.4236311226657047,0.47981473215388737,0.5071130451548693,0.437841677442111,0.5685231589314222,0.45038431492021547,0.5122086430523966,0.7480074119390767,0.4099911928042775,0.469504711046626,0.3518116518168584,0.4558765579059385,0.49261387193965545,0.44932076271874855,0.35810523248779697,0.35338185946946454,0.40261886915039663,0.3322861116352705,0.41619031332306006,0.35048565066532816,0.39289014367985114,0.5067145202703414,0.5415274001759401,0.8984781888837694,1.4139403271390687,0.9902442664347814,0.6714375156068862,0.5520619951152257,0.5262752609832703,0.4779407884164403,0.43183826746700416,0.3825380271724917,0.3832194947797475,0.32465299660786234,0.34901956494015324,0.44746209316605273,0.5703136290307211,0.5594038128442628,0.8889364053298803,1.1063871963777856,1.055487285528938,0.7223773117780913,0.35171716589954827,0.4442007255869582,0.43168487072127465,0.38092503980804615,0.46133223553001057,0.4802368263808419,0.7350359271434012,0.44837243806834326,0.563774542793689,0.6062253681448062,0.40894723101503083,0.41506586504998877,0.44386094227380274,0.47361626639697485,0.48027284313969765,0.44473016590859493,0.6651367776275563,1.152974286204972,0.7464105529798394,0.9763270395468074,0.7946276856096849,0.7260455869651458,0.6960447137120603,0.5508815064464008,0.5982453041930686,0.6882257708994539,0.5461171431159774,0.5517579037899603,0.5596991911892076,0.5323026470342367,0.515722029337034,0.4699578081662981,0.5762654632470747,0.626654489565541,0.6024403257105682,0.6514144557488104,0.7001409521699653,0.7358839224484169,0.6974616896038092,0.8277646664204684,0.8974855049164064,0.8461475476220334,0.9355047872323822,1.09958916063105,1.0254175588356131,1.2521499778677143,1.0775686995636655,0.9346355922060343,0.9365294139990444,0.9586097773623786,1.8757763969022874,1.273639879174383,1.7785613921572654,0.8296361130888993,0.843374313525647,0.8626997539338993,0.8797494529194898,0.8091392043945197,0.7219690515780289,0.7661525432552718,0.7897434951457237,0.9543663059829667,0.7778027277383468,0.9525238244699366,0.8393831655790286,0.8528550738380943,0.9894680293170098,0.7315698341805332,0.5515497808579878,0.6302302671530474,0.7328043585648761,0.8228204611859851,1.0264203469187883,0.9261456353520467,0.8098157897500259,0.866209799569425,1.1039962598451512,0.9073971738466314,0.7987795728972784,0.9862755687734545,1.0468045447972092,0.8502377933764353,0.9494535975418692,1.1159577916625498,1.0437757632657672,0.913176265937796,0.9828497011125183,0.9048725742095364,0.8715282192386262,0.7970511496640843,0.7893061246822929,0.8535122996529634,0.7473242896771413,0.6993718965309834,0.7662322325930502,0.8006919583566882,0.7006218597145655,0.7631342506113917,0.9464522669338246,0.8600021788376847,0.7611688272374335,0.8369900140307297,1.1292023864087777,1.0434129191919879,1.0513491529809962,1.1166183934835177,1.230939161629469,1.3968136757877279,1.1060098691916498,0.9328938241227109,0.8365410732435297,1.067025142404611,1.0216261273004181,1.063831272566311,1.0662831392465406,0.7883886347153468,0.6024329009279232,0.5076405066245101,0.38760317959742124,0.4347205596374911,0.6826112112826905,0.9267877118417174,1.414148470854579,0.6996867181639254,0.8570278406086316,0.9349250781930024,0.6932245544487783,0.6345406621026517,1.324013015203272,1.092444063147745,1.9644527581345814,2.897127311826884,3.940609022271613],[0.5614580885031849,0.5246159473448664,0.6053992173953168,0.5254918581900164,0.48259860637507584,0.5231925771729673,0.42880257285706347,0.43822996692443295,0.3958092474638685,0.3674905378813755,0.3889815127493841,0.5344134525538711,0.38623669987250137,0.39484928826005816,0.6057043797824258,0.5110603929121097,0.4710238561960151,0.5584972108901328,0.6361703720787328,0.5998485063687397,0.675817585769136,0.6970011135398811,0.7509796967779131,0.8454211854815538,0.8709416379896872,0.696285357102833,0.5266933261839393,0.47150094704665746,0.49023489257308805,0.4971961153829838,0.5983851823816161,0.5699010472714113,0.6967866855562725,0.6649357701623069,0.5807494595506895,0.5410376329972687,0.5106473432367292,0.466728208943958,0.45441523778338905,0.476051544248223,0.6069176716801103,0.5504108291901585,0.533582630623062,0.6530457517247454,1.1680801750251535,1.7953344181340511,1.735420223641453,0.9112976820702019,1.3219421155039113,1.1787834174842469,0.9103397130405179,1.5353876789065684,0.8599999391898004,0.9262745427405115,1.432365761617928,0.6919354070309477,0.7685920152243924,0.8277068535149369,0.7977190819038679,1.0795417454073908,0.7628273536122895,0.7198836270084299,0.7447954087180789,0.9462326245718208,0.7382404963543321,0.675954894979434,0.9009311508377268,0.7061181646363155,0.9023679052947697,0.808277731646309,1.047370025678703,1.271863985965027,1.0015402629443229,1.0608150518139963,0.7710993431862697,1.448245802629864,0.7109528654799928,0.7227841286604075,0.6174246276218343,0.6390704027128877,0.6106070101933542,0.6245467386470764,1.0165327605930252,0.5617677770578581,0.655186346148202,0.5342166717766851,0.509247078507533,0.6001097553844048,0.5569964314991495,0.6811869482068239,0.6884852033440924,0.8434358741696342,0.7632557601670772,0.7191767299103359,0.6425956782393597,0.7616902780747803,0.697651408508107,0.6639952568281196,0.6277325482990459,0.8366978536579679,0.635109200007662,0.686584388440864,0.5060670089512029,0.5508264722788933,0.5910768124166896,0.5390165568660245,0.8373985660627903,0.5920309941216826,0.6552701119308516,0.7164862905439334,0.5347884300902238,0.4747613273516372,0.42127806131291845,0.40093764009931726,0.43948270348931023,0.4476511220896044,0.4844448270911764,0.4735458618227681,0.6277855610191855,0.5582787286353059,0.5317694325645599,0.5190207259408773,0.4902622246902467,0.4364990892072355,0.41348724573311196,0.45054669110521545,0.5009339585912733,0.5189754999618201,0.49883173757776567,0.48793496874283115,0.58322721015194,0.6059998438960522,0.5465110940970518,0.6150866402425206,0.5529492812229082,0.5930921720821117,0.8979658375778875,0.5577732526424425,0.5887351182424457,0.49092377644031887,0.5247706796065149,0.5816790343242689,0.5346127812594841,0.464614683757401,0.44381287159692356,0.449031322120288,0.40906594278785097,0.44905751630327034,0.38635934855305754,0.42186782856418004,0.5577103103600431,0.5589693005690406,0.9174887482387285,1.374556595798657,0.9558757418411716,0.6790879174996638,0.547129034414735,0.5422519558606447,0.4668420893110872,0.4660104287565187,0.4500849478319011,0.4176423554509595,0.42587346795226605,0.3938587067437573,0.5673189982009076,0.7026443713536744,0.7323017247619592,1.0855779150381104,1.2693256216674087,1.1943540064308757,0.8600490532579977,0.49782789664188787,0.5572387838525051,0.4648510692530832,0.3958266418853952,0.466819514564921,0.4677223256568224,0.7329880452530748,0.4558013407066797,0.5364245481308363,0.6606303669215422,0.4449928092332362,0.4725429098201095,0.5226777096757163,0.5569097573756296,0.5303603290228038,0.501397881675406,0.7418974540722136,1.1129192886414252,0.825021816495372,1.151760280948801,0.8573063141834548,0.8440996278857491,0.8104760103672268,0.665676216122181,0.7402903667031175,0.8135356479941425,0.6903058825789642,0.6937195861116758,0.6695322135713825,0.6788422355646678,0.64927234996518,0.6009905000525844,0.7141618165953164,0.775938702647021,0.7381794611458548,0.7647948987530004,0.8328476060817999,0.8710229183602416,0.8018280097618252,0.9212939426188855,0.9990259513037228,0.9307065251297579,0.9682559006608961,1.1412104366220384,1.1185696059606938,1.3128865274162171,1.1938963079146352,1.0448794585413075,1.0665355737173474,1.1198576531811217,1.79057341653511,1.4891564856987043,1.8994892288491574,0.9870751957955655,0.996672555917656,0.9716327319474737,0.9946954222098086,0.9444864230526726,0.8702311906642398,0.9079423997095097,0.9352453617222193,1.101017005182295,0.9197322978281117,0.9807355735807092,0.981267147661947,0.9320621026058422,1.0478386055541742,0.8146188004520558,0.7009887175757873,0.7739417279396777,0.8641315009513924,0.9314696643323933,1.1457498143421385,1.0104104172816446,0.9120378259719484,1.0032776325609034,1.2135404832380197,1.010994957029528,0.9319091077813667,1.1281416638227224,1.1842579923923504,0.9773119068083825,1.1105465539775,1.282365412569286,1.2084728294226819,1.057583599832543,1.1499762020660762,1.0555930743552382,1.0427622561096659,0.9523892490315639,0.9641126311483752,1.0262942904693553,0.9026588034176788,0.8731471910411882,0.9216493974701824,0.9389805458146467,0.8547875295479233,0.929709546068204,1.063434644379386,0.9802060583650137,0.90391575032464,0.9821435179678187,1.3112103791210006,1.183949764972022,1.1926694965323066,1.2905313123978743,1.3821904380145162,1.5748844942202247,1.2465820496348485,1.0400587705250037,0.9365354140218392,1.2063040994989738,1.1754505354658769,1.2440748230935306,1.2119870398712445,0.9137358641620912,0.7354106878881687,0.6362593578556238,0.5436800561196533,0.578262833075846,0.8301962601800643,1.0319491586078504,1.5025442419410837,0.7740040154128596,0.9541548660291287,0.9419501656437159,0.7189939855023001,0.7155388372056477,1.2898137216776318,1.0171509733457256,1.5588119483063134,2.6123705874421246,3.6271008493402954],[0.7628268619891964,0.680158997994238,0.7130774943340085,0.6681733402981295,0.6326471819559846,0.6999275237623985,0.6547543482037379,0.6943669160888297,0.658530628325817,0.6521352360015792,0.6512050118831334,0.7449221384196693,0.6568514270558411,0.6475462505678145,0.8208795146745869,0.7325804530523329,0.7190284991701836,0.8019680903054992,0.815943741551861,0.8141232533503628,0.8462696827702997,0.8666989785759449,0.8950545001884926,0.9284846386039288,0.9329808436102259,0.8223579677998014,0.725910235976477,0.6962623805825371,0.7460694113111345,0.7327213311103743,0.8038348393424791,0.7885911843492137,0.8540066843838837,0.8405239033758927,0.7855073257942716,0.7607842497032018,0.7450718658522825,0.7023161697744543,0.7000322869672282,0.7110261133446826,0.8179651976841187,0.7291294827181319,0.7026266727867468,0.8685727652477736,1.2532870162103573,1.9032848099408444,1.7658405640328936,1.0941512559167317,1.5283008899843653,1.3510857713953315,1.0590341910134935,1.5458774508084923,0.9600047769904966,0.9053237502850778,1.4649252057389033,0.8810308207397762,0.984664355686592,0.9706604436398227,1.0081577486397137,1.198451670666907,0.9460328945847194,0.8683602732107678,0.8914247287534348,0.9742258030649094,0.8379591294134904,0.8256441324257404,1.0123786348938797,0.8907648584924667,1.0229799686318757,0.9624616796705828,1.1885100346164559,1.3797842477230329,1.1631985562776632,1.1506595857454995,0.8983178885114368,1.4503509898196805,0.8478348316275692,0.8526107784233627,0.8077512910839694,0.8509792924295569,0.8185000301487281,0.8025326170521251,1.0658155931416011,0.8202146493391345,0.8118893783490089,0.7752386008097156,0.7263953129259102,0.8213435672172513,0.7761006637725341,0.8718128584245108,0.8413443014803724,0.9414736563736806,0.9143506492374767,0.8803241781107105,0.8351274164272929,0.9231208983266345,0.8831409746700789,0.8419957780926572,0.8197503280134996,1.0025199087438843,0.8367185165884032,0.8873436240611107,0.7689358142658042,0.7985281527782649,0.768426549516736,0.7689575536451309,0.9748837884774002,0.7837101344085101,0.8329840946832219,0.8858754654285125,0.7578144886116649,0.6909304262368535,0.6491569725547479,0.630160101831224,0.6498951253165038,0.651410183736285,0.68624502989281,0.6544003679060388,0.7716156240417232,0.8065939258955952,0.7214006626339636,0.7255896777107148,0.6839448637971716,0.6737180997820679,0.6378893589845614,0.63574327852121,0.6869624617919045,0.7108644988052494,0.6977927685631397,0.6973709278121004,0.7248295605473766,0.74226636423821,0.7147766759185991,0.8183936338052535,0.7443443942834557,0.7712867974234549,0.9732648219766884,0.693922664714061,0.6775231175318112,0.6286327781080121,0.6723869702760488,0.6978316384126363,0.699334601162987,0.6580842261626804,0.6588479313201624,0.6921766152450839,0.6542204054122268,0.6913938303419085,0.6617165222410865,0.6984165401301099,0.8013488976852691,0.7911931030110482,1.1034918280982715,1.4174609507111975,1.059387131935072,0.8841540295400712,0.7915067401665953,0.7980197315574571,0.7356494308610395,0.7159900820016555,0.6698364376564727,0.662180744788469,0.6504609978496486,0.651067358889617,0.6953351981780314,0.8064410068313576,0.8632577350323367,1.188266009580098,1.375318803533687,1.3264740298738484,1.006002260462094,0.6866945697353732,0.7241993411940867,0.7240012363552787,0.665233373640073,0.7179431654710234,0.7305419556185575,0.9022960530060958,0.7005892861325418,0.773251305729474,0.9032383006600632,0.6968379735397497,0.696829352209103,0.7430938643301227,0.7752487874662592,0.7924524686094138,0.7125732558200698,0.9418949430759381,1.30233364877118,1.0243995498307905,1.1428728019480414,0.8740096212569102,0.906354593001021,0.8723602753173387,0.7713951913510843,0.8408703508866741,0.9086886397564136,0.8173105513191328,0.8089000770091851,0.754864093755471,0.7704006991155049,0.7456574240124035,0.7185203117953276,0.8061505359212908,0.8367440381152811,0.8062717848506349,0.8600034482713179,0.901817780256862,0.9083018934357221,0.8635586788902965,0.9794426395236147,1.026503868220676,0.9536269930516245,1.0627727483541716,1.1983111290902124,1.179257482643596,1.3601080703775243,1.2335184454836567,1.1032829547911582,1.1113456668818935,1.1366440398762656,1.9737547849478227,1.441237790188425,1.8319531960418405,1.0163690965278256,1.0296800057312383,1.0203097113037518,1.0346590714962136,1.0192909188463986,0.9890353607563374,0.9870576198652734,1.0187221206242099,1.2028515076618174,0.9992825633002199,1.061463606277191,1.0602716964566503,0.9753334044862029,1.0096091967217176,0.8412698461800474,0.8244583968845147,0.8712181557494482,0.9436976738567553,0.982912177991562,1.1827944114444406,1.0458433180706115,0.9538311707779497,1.0336078830110618,1.230415897580981,1.0576203025488784,0.9538644298479099,1.1288351006285928,1.1757819792219342,0.9774895257355253,1.1159790601677158,1.2753178658390922,1.1836556485238852,1.0663866537775402,1.1489878029914342,1.0772678638736926,1.0603855506079296,0.9927071630908969,0.9937102852187975,1.0494452658459297,0.9481476565837837,0.9266216571431128,0.9705053588293824,0.9871565401987954,0.9348358525286048,0.9911598955525854,1.1001269958379885,1.0450274248604015,0.983465998273847,1.0466701456158034,1.285746053629294,1.2019586861612306,1.2286966142713116,1.299093664090415,1.3802783209730198,1.5450261134358978,1.313520361929867,1.1236754275954646,1.0296648770326067,1.282315645378199,1.2430464952936628,1.2807709403700624,1.2429343722063435,0.9787389584123337,0.8450115116647648,0.7518167597592157,0.6680063646961862,0.6897471487262437,0.7808205574897805,0.9492638641354735,1.4087118832738739,0.9039553615198372,0.9255350705130612,0.9595025175466324,0.9396150792988043,0.7529695764827499,1.1776512744380956,1.028342951465548,1.5681440001876836,2.7572176469997203,3.6855291951581743],[0.6322185964511321,0.4990266542244468,0.5688073567583393,0.4598601026195092,0.39712513558411205,0.4571738470367908,0.36725867355193687,0.4884556531589894,0.44090048312489777,0.4508162799845939,0.543268349455009,0.6825097312194848,0.5365007969430937,0.528249456753085,0.7997807977162694,0.6916554772112983,0.6266183779592073,0.7234407442956801,0.7792401574969138,0.7411268427001253,0.7785776570291493,0.7801260201649117,0.81542805105316,0.9169819113548537,0.8953830610044217,0.7774917113950274,0.6256142218028208,0.5889507623259684,0.6666008440516277,0.6927143143634028,0.8066489159371629,0.7773233436984628,0.8966670038996902,0.8852734773200821,0.8007249689950561,0.7476721067232482,0.7205587844689623,0.6505175518361689,0.5791890862454417,0.6253790281744331,0.6471328868172144,0.6560143362654834,0.6484221581188229,0.7810530165211137,1.038988847303082,1.6471231928674794,1.4885530845215083,0.9783243265987741,1.3655535176709515,1.184522472072577,1.058152015334387,1.4059918158781297,0.90191183742174,0.8636488775792519,1.4803894737523546,0.8499886301909075,0.9888220149511384,0.9070734590302323,0.9627965308979939,1.2382996300984395,0.9187068858180585,0.9280592069186321,0.9316158650289919,1.1067106341978674,0.8699122085125589,0.8550312735393997,0.9909082324869986,0.8679482448369569,1.0040132943416546,0.954190448512325,1.1650433078959435,1.4160883320182154,1.1714071281435148,1.1660882295758428,0.9186923874388653,1.5433383947932078,0.8769965324430856,0.9158161821193991,0.8318153763505758,0.8539274731097231,0.8245998502568862,0.7523425666886353,1.085330255224513,0.7815048141160081,0.7770656671449008,0.7264434381689763,0.6920094888301936,0.7913430849020522,0.7683209742031062,0.8993175375642002,0.8871817374869424,1.0367580983116635,0.9710487228781208,0.9341985167229936,0.8585988375604265,0.9806582990956184,0.8932679618580763,0.8532000610019658,0.810438298491961,0.9976150180621817,0.8259385699224788,0.8230140595019831,0.68887217161419,0.7148497870967843,0.7277279071419882,0.6531349143143796,0.9187022469494908,0.601762286459416,0.6385178627047238,0.7510750320624345,0.5677951558326293,0.4505179444822845,0.40599153232549434,0.41504498649727106,0.5002024425922176,0.4450842359140899,0.5471511680908453,0.4729399212879656,0.6182028955304515,0.6864863828281953,0.5819968297289433,0.5746981177510261,0.4395841769609806,0.4544461968769544,0.40239904088412454,0.3773661618049221,0.4556555568020212,0.4689026856645598,0.47370583685203277,0.5225178371805599,0.5374668588438171,0.583263934992122,0.5099217365583683,0.6853381209985361,0.5331609882920274,0.5594699884298155,0.7561907230255759,0.4881763923587413,0.5539282693581391,0.4303556812876828,0.5531976442502321,0.5603546694265722,0.534415242086207,0.4540210563999424,0.4816512867665163,0.5404053452717952,0.46374353417834824,0.5463018908176728,0.4940612206574601,0.5371310884304623,0.6394283191481859,0.6696767665226817,1.064257186483619,1.4102211238055913,1.0219188513809432,0.8299053007063842,0.7182298202159247,0.7013330834525873,0.6505720044372978,0.5907440756484857,0.4860183739627785,0.5182580514164997,0.44579647191394806,0.4995176230460076,0.500727639421284,0.5714559459178205,0.5918008748643194,0.8900604891771078,1.1259172507066624,1.0866301777547942,0.7862702065947069,0.445315433664247,0.4975506262644223,0.5417404474557679,0.5312966051948406,0.6035048529873821,0.6443775550834476,0.8590930782363347,0.5869913639142624,0.7187077554558426,0.6844773500918678,0.5483367006549932,0.5308583439615343,0.557963859180988,0.5816674485353521,0.6002314366052643,0.5505367969932947,0.7553955831475969,1.2282876598797337,0.8346120058865097,0.9174695115452428,0.7621697778092722,0.7203343222628052,0.6973227570072602,0.5753019142630723,0.6525129756322631,0.7449311517462986,0.6409599049898695,0.6360144667093648,0.6081177967032536,0.6467296013802796,0.6398754747303727,0.5748325665985687,0.6894903798986165,0.7475339834854612,0.7076961892733532,0.7766424331168881,0.8421635029922234,0.8548906966160893,0.8195464857882458,0.9664513794782179,1.0326972463142554,0.95240029351119,1.0923909808026675,1.234787818166039,1.1978923030577924,1.3739861133776647,1.2452921999176834,1.0821387522769161,1.1009208277835327,1.1062324157596997,2.0244696288845523,1.4226154363836812,1.8977003123691034,0.9791134501036474,1.0019953571244467,0.9910802605721981,1.0252822395527965,0.9551471963661124,0.8894981289841857,0.8924031598154711,0.9042163267544616,1.0802829653970005,0.8740593510610588,1.020694481928296,0.9081630591454177,0.8939806640080175,0.955631137466804,0.7584569963553331,0.6489829042944831,0.7347075312227742,0.8646860009214085,0.9217372060182212,1.1423091461069996,1.014436521449967,0.8994960045311873,1.0032089704379512,1.2239129131469748,0.9840031311734116,0.8885545818698265,1.080392934729693,1.108860306332261,0.9238087348068947,1.0630114736948724,1.2088801129876487,1.0958760514642505,1.0291978263816417,1.102792556167396,1.0426920978091645,1.0115855224549037,0.9307763002767075,0.940620189624169,1.0109807975824652,0.8915837858087647,0.845499579310152,0.9171691605402577,0.9409266202077106,0.8422111476562932,0.9190645298356602,1.0503070347530599,0.9948289216487517,0.8782739471911872,0.9640263656319354,1.238196472027477,1.1635440399974593,1.1820108022282874,1.2533078468406795,1.362699053080767,1.5383430825946434,1.2688685503558907,1.0822428150331884,0.9820620187938565,1.1879514390623396,1.1403435497117917,1.174280780788157,1.1245111150495428,0.8736552055995442,0.6870599272849216,0.5846795197501892,0.4606926703478427,0.5375288001511845,0.6475567914237884,0.9079698529531718,1.3345751403083275,0.7543970009837044,0.8671501073850807,0.9278877567290278,0.7860067440405817,0.6122610062814834,1.2809553230248438,1.0296662887840002,1.883330864263328,3.0292647197968456,4.185176913762943],[0.7404089206486945,0.611096523590454,0.653667379768481,0.5319242948344829,0.4513010311736159,0.5009566357209996,0.3968504575830541,0.5070810008301381,0.4411799592038992,0.44585537558271726,0.5332139002876509,0.685102237018364,0.5308464549693376,0.523936468598982,0.7967092001288416,0.7006812579982303,0.6216738428613703,0.7118209751515083,0.7778337235295499,0.7322330459902674,0.7745769997715203,0.7791358964080413,0.8066039493461528,0.9235932439925336,0.8838109119089639,0.766946674766085,0.6137466461816271,0.5769337861154072,0.6491991590429946,0.6899706179265197,0.8110229318187147,0.7944916538262791,0.9203913934297042,0.91192755726211,0.8160794865080815,0.7509255279981804,0.7336814987601968,0.6443450943212138,0.5705566057147927,0.6213242418399989,0.6397532394525912,0.6450138391751602,0.6435831938704327,0.7595688024705245,1.037163950166647,1.6484100827461396,1.5135628350389225,0.9655293395235628,1.3511728491435087,1.1743870882636784,1.0494659644601156,1.3843678199495124,0.8816875418991563,0.8402929911530854,1.460454637784837,0.8428688667315469,0.9855994255139003,0.9020626687406075,0.9508486848051647,1.245891142268651,0.8713476564889086,0.9209550996954059,0.9382579711715353,1.1575238526957414,0.8784330129596855,0.8522507782083977,0.9778095970148514,0.8583393668753614,0.9805371814545016,0.9422024684351867,1.1300054890331985,1.3988085611120893,1.1736421281843838,1.1797902299364058,0.9330340117228666,1.590307105193842,0.8998182821421358,0.9477306725364891,0.8504724921060174,0.854594426313221,0.8377721222742341,0.7575414058977813,1.104080887784778,0.7928469701939321,0.7866000251081566,0.7292642843376818,0.6969329412017273,0.8027650049096231,0.7695324448973344,0.9200351619232158,0.9117211529512284,1.047103622290808,0.9938803929623962,0.9616171082351276,0.8741304832781539,0.9940411618951027,0.8937080809932516,0.871023974738737,0.8305069255204622,1.0202148741350092,0.8447635231909867,0.8531310929052291,0.7066617383285407,0.7497313885997915,0.7669141794057677,0.6980310611102496,0.9656543370372225,0.6585500151536855,0.6897504698184993,0.7823908995454227,0.6101493526829734,0.468614811905536,0.42167848712607375,0.42852925799837144,0.5057091890264811,0.4489237898467307,0.5410009206012556,0.4822122987220621,0.6467341193515406,0.6725250737280131,0.5995337553553888,0.5822162281339888,0.45191009854884584,0.45253754694265386,0.4193808056362244,0.39289805064962025,0.48405500223649883,0.48937923978333403,0.5203383412083614,0.5664376025315835,0.5938190544677427,0.6430509254896921,0.5671333712400312,0.7223058417661674,0.5834567266194772,0.6004514993119778,0.7955028284559404,0.5144089892496794,0.5444591494099955,0.4203859202347301,0.5434702803994681,0.5672294410457804,0.5526076227099711,0.46006631372595025,0.4812651671078306,0.5370094147572735,0.46011818822248607,0.537680291291398,0.49880080417375744,0.5414960200612475,0.666902230834545,0.6911468827799881,1.1036267999509908,1.4173751535749877,1.0304610631068714,0.8532016699292873,0.7262026799973593,0.7202729540282016,0.6572655483368249,0.6030259922876592,0.5007498124956823,0.5190239388156362,0.43529405638323987,0.4919326133422428,0.501251799565257,0.5814409400318807,0.6244942671399332,0.9467251899118373,1.186724225192769,1.132548188386362,0.8200597487528238,0.46218092401604344,0.5244492203747498,0.5638512038170358,0.538932277205744,0.6207917921532693,0.6518799548098271,0.8758450193519453,0.6039495491484366,0.744924884569298,0.7097756961145635,0.5771902960763327,0.5636589352198103,0.5959959026173144,0.6105122753985754,0.6156386975608389,0.5440582299770984,0.7452375843600498,1.1921540547006866,0.8226450757018628,0.9350959924140381,0.7819738316195401,0.7589972219843089,0.7424636493220704,0.6325727606582096,0.6993145902487526,0.7728680376631903,0.7015629371860271,0.7078237598355337,0.6972485609452762,0.7278663394245337,0.7054527741320215,0.6491580192099426,0.7704766942429314,0.8224537548065566,0.7681143647339668,0.8574956150093486,0.9339940432489017,0.9330332421426998,0.8857519854674651,1.0424861539418189,1.1125389730658486,1.014616421025778,1.1449074938637591,1.3106120235131098,1.2792336840274592,1.462976766423391,1.3768100242343446,1.1916859467544583,1.2039575671422373,1.2188409728246932,1.9781736828979872,1.6038389132370445,2.015615544353162,1.0846607973808375,1.0723014588797286,1.0383370598936388,1.0695356456370984,1.0270306686165636,0.9586188457543966,0.9384502453474816,0.9654620409619983,1.166249926444283,0.9507368428140918,1.0629706173389712,1.0222753365535286,1.0158209306538157,1.046838440162517,0.8613656709045563,0.7332852126270504,0.7732118074441453,0.8864074742760054,0.9406283214946779,1.1844924281096623,1.0366612806705893,0.9238839443124901,1.0558197435684709,1.2630633231780544,0.9937718729922851,0.9432336047163662,1.142496615431212,1.1590957099000512,0.98275926796665,1.1353402254134008,1.2799183975596566,1.166737438430014,1.1130283884532015,1.2015919187677533,1.1406572410454843,1.1048159325853883,1.006799552463779,1.032099749304436,1.122045492461964,0.9888626964456153,0.9412841319633186,1.028952353275086,1.0553118562088017,0.948186562483755,1.0360451610489405,1.1897402780671384,1.1182105165470428,0.9994707301329655,1.1142143964106153,1.3806234231409653,1.294080958689111,1.31449119610774,1.409232213324855,1.4789981603155824,1.6758877776477916,1.3961966604163547,1.1827827461453808,1.0667487293371614,1.3003331596206011,1.254798736100283,1.3003235881024011,1.2444593388736451,0.9872273394026042,0.7704046655440392,0.6560836419802583,0.5114310677287108,0.5951033869891316,0.6891291734028799,0.9378563198948194,1.3440075994273126,0.8317409755663537,0.895050909812849,0.9042306310444885,0.8365946861120441,0.6498534538881953,1.244584360324344,0.9925030903246707,1.7476600017495627,2.9474839650764637,4.04126602208132],[0.8587934889058272,0.762815322835326,0.8683084754384147,0.6043373660341973,0.6337549570468812,0.7176647700263533,0.5890403663240777,0.7331607399479455,0.593807501773308,0.5302537739221115,0.5631803181859127,0.7610273017998214,0.5838370509873467,0.5378738277538492,0.7468701067032961,0.6767122339190426,0.6100305016512793,0.648311097402047,0.7240167014754796,0.6574652205290958,0.6688009766934605,0.7022982821984166,0.7877325291658698,0.8726273300329559,0.951631441207751,0.7633640675604956,0.5919407194166857,0.566247324257185,0.6196187447797636,0.6845404064480245,0.7639212249371665,0.8156928665378457,0.929044411171628,0.8819857758734526,0.8005580975333815,0.7135441265836149,0.7452537537330419,0.6223780424543559,0.5998448773820949,0.6701293577484748,0.6304340678163927,0.6426189974396405,0.6321464920814358,0.7223063726748409,0.9842363481778825,1.6183523249960694,1.4834947522647188,0.9055747483077049,1.2554577144570216,1.148705398222278,1.0340487566160488,1.3301343550003277,0.9460072476563363,0.8765396140288664,1.5827331861595615,0.8765834806267164,0.9883004279040094,0.8847634795946901,0.9270633092156497,1.196583053163344,0.8644027759510785,0.8716846549258509,0.8775936980110975,1.0303416928522444,0.7864943771379873,0.7831939891367709,0.9020009602606207,0.7797966538331488,0.9163050198976039,0.8596592629896925,1.0763389479826602,1.3438703425763106,1.0699975116052598,1.0651718910906363,0.8345556668395775,1.4492693024917906,0.8097507306916678,0.8703805828060142,0.8055122805377309,0.8032197628761794,0.8208159359756233,0.7995776692502682,1.1109020751365388,0.9169269430948093,0.7824384800457451,0.7458221432578273,0.678466736715015,0.8154732943677979,0.7248310526398397,0.8757624545561777,0.8290267692889167,0.9411096797373094,0.9165410269293299,0.9023204434972834,0.8246512176189856,0.9369402666949883,0.8502057139224186,0.8852792281242765,0.880748560698063,1.1640712554726198,0.9634019818759741,1.0857035942728313,0.8750153734228844,1.0141494837907232,1.0011522917692102,0.9780766834215986,1.2013905976413513,0.9958715202301558,0.9876136568997833,1.0630969040272162,0.8637374754683808,0.7146955211819948,0.6411499134254734,0.5972056444259101,0.5761199392449103,0.5549161932150048,0.5840053790103611,0.5751904043047739,0.7141162468694984,0.6134487654125614,0.648314369600152,0.5813449022711644,0.5853381013463987,0.511056097516236,0.533125154099495,0.5647722072373383,0.70273878914062,0.6920212459954374,0.8015078150964723,0.8657815151896185,0.8718680066151122,0.9687533180368398,0.8566320976862428,0.9913301214524988,0.8322431578695774,0.8417291061765586,0.9341149026498334,0.6793675427999097,0.6906987138588982,0.5468529698152165,0.6328574975198886,0.6647821615029252,0.6574557913641675,0.5532533825245145,0.5460205067064131,0.5860957664264678,0.5433065548700677,0.6335103701346784,0.6701471781267266,0.7152474050155649,0.9445669630370551,0.9369348885811182,1.357135512325079,1.5504226087672845,1.1715526868152117,1.0715387140417298,0.8936776052109419,0.9621711587928221,0.7991198758361724,0.829005079153313,0.6800144242030862,0.6257562125273785,0.5675562251807814,0.5998024852189358,0.68366059164973,0.7106081271498468,0.7870379712407978,1.061381915668026,1.286875493590047,1.1882573385136126,0.9431559663022978,0.6277883347928169,0.7010426471030773,0.7779076758702607,0.7293586092161689,0.8022719768721169,0.7735962578924079,0.9818574290340848,0.74096258371001,0.9389491196823614,0.998683197648435,0.8455416149744751,0.8487615151741519,0.870908991879924,0.8234282999731269,0.7863113367938184,0.6965932618532372,0.7631705548649668,1.2246872868217846,0.8680596976541556,0.9974722204831149,0.91741281493471,0.9310031022469919,0.9364966403333241,0.8893773982241604,0.9199558423647118,0.9452817169067605,0.9780843665925103,0.9751017603626967,1.0571388231989591,1.0758038723564136,1.0776830980300005,1.00567638268666,1.0608495459921916,1.1572278962533973,1.0968626308669838,1.0740175586698224,1.1905208970251415,1.2680776796727729,1.1444027885079702,1.2351531089373675,1.3409635449065458,1.282587559730784,1.2778108943579187,1.4179211317478324,1.3974211998854256,1.6018916084620771,1.5148141413179204,1.3622719866707584,1.4069210927447768,1.4407645334339618,1.9946154121392827,1.91529514762679,2.367790388983392,1.4326904535144094,1.4223311285648703,1.3630422493257859,1.3662718773797426,1.3118460180429257,1.2186250850062896,1.2026547756622672,1.2239403514038631,1.369197114859903,1.2065604486800907,1.3007368690259247,1.2557960440325597,1.2695140996582883,1.3338639932033989,1.1660077090094791,1.0924846325518536,1.0828550053852395,1.1711011165794882,1.2500033402031074,1.526521843255979,1.3578004453981987,1.24000944969209,1.42189192619438,1.5814828916424701,1.2759462392055843,1.32121317399638,1.5244159653103866,1.5280097141542857,1.3580592787369705,1.5094882769309979,1.6665720456183248,1.5477734460301085,1.4674659305552948,1.5808638336258436,1.4838266261452044,1.4824826012783123,1.3786011119874648,1.402571588785388,1.4528368220774854,1.3019584551051144,1.2786924494522738,1.3186777634227005,1.3104894339115691,1.2037276188147408,1.3049929557693616,1.4008443270269368,1.310511754040222,1.2137480612005898,1.3406693820198243,1.539190400158583,1.4338161663544389,1.4478627516232039,1.5281063717646013,1.5531934739387623,1.806055299034799,1.4777350772819051,1.3055321473186672,1.1945791979296845,1.3867420451770875,1.3433195049368127,1.3787278746706548,1.3390109215918704,1.1747808399979458,0.9564324482209547,0.9254845347051872,0.7485370614300971,0.8936398626864097,1.0696339763470912,1.3294305796956998,1.6257521844839682,1.182438331000804,1.2134704928241102,1.1383275125180943,1.0704355271047628,0.8905472557829225,1.4801262411965013,1.2281342036348504,2.000828743603326,3.137182870003632,4.18003735875579],[1.6592198988922424,1.585784021040702,1.638639128011617,1.3365121849294799,1.3776153914072882,1.4675335239347154,1.3607908900278203,1.5203037825832362,1.28808997474332,1.1621569773629425,1.1475424825645726,1.3701636067227876,1.24793628035516,1.0443431646149122,1.2203909312135175,1.2350298041250056,1.179252007844083,1.1889784524487035,1.1220375622422307,1.2113478288683457,1.1627334246605645,1.2191294618379018,1.1450631514979623,1.2371337913193254,1.25277496571077,1.131259717599509,1.1373068699750915,1.1368876059322137,1.2494576582184893,1.3283387076481616,1.2895142956010857,1.405598723273774,1.4850571065117324,1.4219793003080676,1.4067498490277708,1.3130613283793644,1.4081600594638188,1.2956401410747345,1.293224986035257,1.388338601157635,1.2352982466009301,1.1899106826045758,1.2299088380398793,1.3212232996097182,1.4283066576916548,1.9627711769713219,1.828086167905668,1.4457962449173978,1.7804548560930513,1.7100031695041185,1.5782377507857646,1.8007739860944323,1.4516438436825283,1.4094936501340998,2.0641667907154924,1.5391129782136723,1.579729341270036,1.4746595395431261,1.572546531792293,1.679324829338782,1.4770780159051644,1.3172192210068678,1.3166209534622613,1.265383953042827,1.1904406905365623,1.2740569001180369,1.3094434172140148,1.241287128925182,1.2633847350571372,1.2161121948093592,1.3651379939044386,1.5340225030542987,1.363698616466989,1.3678479066403135,1.215188794459378,1.7016514717740476,1.2659511896517284,1.3357733718924698,1.352834289518373,1.4183702172788735,1.4560636055134153,1.4359084546278813,1.6249113277604368,1.69166023781087,1.4176020634359312,1.439480015992959,1.3407258543232514,1.466005698937756,1.3250962733755558,1.4380933491198005,1.3113488738378605,1.366762197710109,1.3334443201974475,1.3514029441638868,1.3040191520979476,1.3512590622562064,1.2943476918953618,1.4314478723819886,1.463147251803384,1.7724353918362037,1.6201132425571436,1.79562130692582,1.6449589026167188,1.8111493531156861,1.7905152198413,1.8197043840235743,1.9975486497980395,1.8692535075769876,1.8559166847108024,1.9120933969404095,1.7188704913955755,1.5383681103661073,1.4257003954996985,1.3047937843206938,1.1587747843998766,1.1049895533463563,1.0697620238297467,0.9917572104484523,0.9621853024794268,1.1376058295104936,0.9554693540862419,1.0196895397658894,0.9529539461836835,1.081004821672604,1.1554296654325715,1.2620940385124826,1.4542779885319017,1.5122680654407654,1.656813904514817,1.7123881412428779,1.72448283639536,1.7934327163159234,1.7037328574824382,1.8010270135713486,1.649610969962926,1.6089989394681037,1.6004780802636183,1.328166446245605,1.25075758468204,1.2097124474789416,1.1385666401536596,1.130373248670004,1.0902771563656366,1.120052042812614,1.191374004438867,1.2399363295228532,1.2221653542137052,1.3318832355278305,1.4606115234055128,1.4815785896243863,1.7440573683647373,1.6809576036494638,2.0371024825871,2.0452133981337175,1.7688519654444717,1.7617818947405042,1.6052031182977347,1.7277381960718527,1.5480846105517927,1.6354916768244558,1.4643727230199557,1.3774023659060135,1.3052256147415677,1.349434805363504,1.2347139770761177,1.3989856596188128,1.5732914518685182,1.7899667431323172,2.0193969252063573,1.9042632949358251,1.7332720000568946,1.3741082206789215,1.374719713588523,1.5676984302369965,1.543817340039062,1.6151892143544835,1.5418401909905668,1.7243501788764428,1.5223407433578313,1.7135626584684567,1.8385983750905446,1.6828340867073683,1.6925340716857915,1.726253766942302,1.6568052061573855,1.6283778682191716,1.4483944113315141,1.5070493110765766,1.8048638631911949,1.6525422025941423,1.671048651999262,1.5985595126142997,1.6846441325888852,1.7093689788891846,1.7236325321290307,1.7895767798894078,1.8115944449963801,1.833868688209736,1.8140908152190638,1.8637594181123467,1.8935334870845701,1.8875548918046499,1.8362305245658421,1.8800314672135094,1.949467648432325,1.9001488576617187,1.865832527115803,1.9808026915088244,2.032670124122321,1.9257026860746296,1.999317944301626,2.0729439728050467,2.0244810828598694,2.0343235705211207,2.1208889551076897,2.1028612852388013,2.2252814522697983,2.162019984015301,2.0939028401877806,2.110033855394704,2.1115025049148137,2.4113579338631075,2.5182995801641495,2.909160931961015,2.16112356543514,2.1141233854885204,2.0867234698399155,2.083522895851926,2.0552718685354976,2.069494793529771,2.0345629030804755,2.0558769069272467,2.1893511642199392,2.030743981964531,2.0666051794959874,2.0006326324384593,1.9336300027728346,1.9627691167501184,1.8704471753415237,1.920707100883663,1.9294622318488879,1.9986101250162962,2.0173107442106786,2.2249003704587533,2.0519889901909956,1.985110552381201,2.1128672118420724,2.186456437099587,1.9635313436201487,2.029684791555421,2.1591362696111482,2.1485550288109847,2.0553070392891786,2.1655038846755965,2.2616237710283227,2.1802887300749916,2.1474883328952235,2.209083526543589,2.171005560376292,2.1618974459510407,2.1034447139406023,2.1143528105542693,2.151796495332083,2.0632001261777746,2.0464231346976995,2.076190155444699,2.06799350692841,2.0001125771176667,2.088661736500529,2.12556541730306,2.052087806391657,2.0027525539224347,2.0831230460274655,2.2173278129006073,2.129005411526236,2.126581750574175,2.1953797540437088,2.1837354933990265,2.3101588229993157,2.1418338904837615,2.044186088700397,1.9462540646329,2.0489732937767724,2.0444317657853683,2.0631013597461023,2.0564694923771154,1.9334485025745047,1.7607600973842543,1.7546996043126946,1.5561260019750947,1.6868320340606582,1.7528756406947517,1.9560588092990498,2.093132850333513,2.0336838739583465,1.9054273655409384,1.8559184280390402,1.8783433947514394,1.6666152794796605,2.0126086692616973,1.934492474676161,2.6428064746567506,3.6639138069854633,4.506176744169769],[2.3584836520654693,2.3430203191332306,2.4006669459694994,2.1950292956160324,2.2352857156185064,2.327428460168946,2.23758825838908,2.2662312911271263,2.098773975300624,2.0193710851684377,1.9601677619636533,2.0695924673396426,2.0548715023671074,1.8976097044182505,1.9324034708878803,1.9750334877596856,2.009387395467265,1.9961507275739385,1.9421855557771353,2.0369629808490255,2.008704336921593,2.051734076205526,1.9533587142670663,2.0349114860534603,2.031100037247156,1.9740752655270795,2.013642946153786,2.001907135017345,2.0604596102602555,2.072564627636296,1.9827825412962874,2.0568533338004134,2.039602868022888,2.0060789004238933,2.043561640098636,2.032732409663024,2.0965509632303716,2.071586549822257,2.1187657976298935,2.154910074785905,2.0912268709919286,2.016948432672872,2.0525277231347485,2.141200172783914,2.2748747895584835,2.7056548162439986,2.601401658664178,2.228742878509448,2.5515959769372114,2.4745496198573727,2.292125562374774,2.462569693817768,2.14988048946729,2.1479606828770055,2.652810824559008,2.246324090904294,2.2978200142859504,2.1383981992508607,2.239204418567408,2.347671832850795,2.29359827050384,2.041016518637676,1.9959495508811587,1.85332194576701,1.96381353260759,2.022515904410955,2.065831275231802,2.007093076737304,2.0640828938401716,1.9637632538965752,2.102914346454818,2.1705458405164526,2.0283659737568813,2.060870897681987,1.9018870307100615,2.17240767929494,1.945191594448627,1.9502669673121178,2.01665818887856,2.0852748207365988,2.095487203152779,2.1216040251990433,2.259521201348947,2.339990938685299,2.113599930277836,2.1420099159972668,2.077661139345516,2.1247091323750786,2.0373079521069566,2.036829711206347,1.951727339121631,1.9723191106014062,1.9343679143185057,1.9105773303606643,1.9209250645018978,1.9013826769374642,1.9285674531445496,2.015420990882185,2.0595015580262523,2.266582502841596,2.1854903152488214,2.33221052732016,2.2653489528323925,2.3960951573227516,2.3668130356076382,2.441821807640514,2.5402754669979277,2.4906760150606733,2.4973604690245743,2.5387866307575804,2.397011448907061,2.2972349724665,2.241175758699762,2.173398659050974,2.029304016693802,2.0314320162324924,1.9552857617132944,1.954375538740102,1.8527847453537256,2.0311858311084503,1.8828414212378615,1.9430876930391237,1.938169633858379,2.041315374640044,2.085608431214241,2.177003306008747,2.258734665694094,2.341611285235272,2.414041212740038,2.4274267164895957,2.460086812248953,2.457962815366916,2.435194371531571,2.4734111989233507,2.4377724702510046,2.451994147573166,2.3722306211121746,2.2035960665596517,2.1664129812712343,2.1474561902896463,2.082212398152224,2.0647930063232462,2.0061884896194275,2.0424210119137465,2.087592925729983,2.0895827062327417,2.1044788637370884,2.145609122331614,2.2327751235540454,2.238503778508455,2.4094681438773264,2.31288008065489,2.4854971559102728,2.411082105799963,2.2439222793233906,2.294370231691627,2.2383383590886994,2.3386246152865433,2.2305949071724926,2.3297997288581485,2.247688299496245,2.175923192105472,2.1970459654452896,2.1911121884923648,2.097142377465968,2.3107808363103137,2.46607157640515,2.7326271959004096,2.9282816057356387,2.825382833178001,2.628859418733173,2.243250114445087,2.1638869752509673,2.3333521123542575,2.283975499197573,2.2941107179766043,2.2367164450262176,2.3518296116338044,2.2240069601642904,2.3712492345491514,2.6038970351722344,2.3799356929040987,2.4024547895238566,2.446551873875772,2.4152705378935275,2.4104680435936032,2.259056071337551,2.31933141444662,2.5615200384712895,2.4078499088966328,2.482439692890337,2.4159803367083255,2.490706302755301,2.49223843862656,2.481616344781598,2.5017301023715994,2.535288897291551,2.491373484961863,2.4583839784250636,2.49377426865354,2.429272922550962,2.4075497850988024,2.4472111913277694,2.4526253754037994,2.4253240211548373,2.430968233846454,2.475362345966881,2.466290910724469,2.4279685197876186,2.45865323219341,2.49803468814476,2.450827549848132,2.4617068557158355,2.5528795673228664,2.520101584906631,2.573906851689562,2.479636828205727,2.5594068853608256,2.475980958941,2.3795022781456967,2.3604753055104184,2.409485656625454,2.7709394991358773,3.137901396697611,2.4279281858229607,2.396905444086337,2.430662868868536,2.4135993426435394,2.348975329893546,2.4567531925501225,2.4445306102417517,2.4536135343878223,2.611940395231324,2.522848759191735,2.538323932382979,2.4938308636644813,2.4695221254804642,2.5622162096081746,2.4407816122918815,2.4870627686237357,2.4280421829905814,2.4199817823487124,2.446898327820897,2.5897017754599476,2.478102687613665,2.4585705471054755,2.4845269554287728,2.5437078103887036,2.3981039696470057,2.4442243115685356,2.49276935586944,2.516095813626827,2.4607694632823196,2.433346644126964,2.4968582124424548,2.50644182916924,2.3978320500255212,2.384138791385308,2.3905636946119957,2.3879501477283402,2.4093566173707583,2.3807075742297354,2.380318550170361,2.4235165486415746,2.411678980395971,2.387074830541593,2.4125091039849504,2.4500852028649702,2.4682516734016686,2.4745115499775743,2.5074247510188012,2.5003591139552337,2.47198733502434,2.6470965122988956,2.627479886561448,2.6875120993097665,2.7304349020721315,2.7748872038536665,2.7547866751336474,2.73942811900717,2.622402327067502,2.6022753031079575,2.7692436174548973,2.7505366591043097,2.745563707968223,2.7465881127549583,2.551335389379206,2.477275927414064,2.4483349976268953,2.3120380998211583,2.4050893293245164,2.419729058377227,2.557637475119879,2.646217637512183,2.6783684334915985,2.548687627308611,2.345946510283316,2.4742466939255534,2.37505648127288,2.59257577986502,2.2725543965558357,2.873385631102061,3.8597800722474855,4.689750577211174],[2.8606201339367363,2.8431863655868095,2.899871041501235,2.481662307068275,2.5534600730452075,2.5063415701751937,2.3178713296900755,2.3518343456093342,2.0325774380107355,1.8815596552437832,1.7567930458923273,1.938624095508164,1.9308854426359428,1.6661608817074745,1.6896573872416853,1.7945073304921517,1.8129076796099435,1.7548318821102258,1.6715698588308245,1.8359186635862894,1.760963643602049,1.8637049432560762,1.7337089677587727,1.8501666800731458,1.896552996777356,1.7807536314482857,1.8841767089584012,1.8685776973447463,1.9048683550321708,1.963517831098505,1.7586956945432102,1.9592658676095922,1.9395782075737897,1.870954339037643,1.935862573829666,1.8834839466523576,2.0479888925911807,1.9945431995349305,2.0795460786795426,2.2027522698717763,2.066371606004079,1.9120518716709887,1.9641828194460618,2.0951952182885814,2.1834514493969306,2.6588254041782564,2.5440012475194864,2.2200544900373003,2.5853599598274903,2.584597264614524,2.3640909242414208,2.56053422157852,2.214474327077112,2.197779272732781,2.6545783772293885,2.2443590549378896,2.2702593741887194,2.09089725135529,2.178299975896482,2.25434711636152,2.1040794895107315,1.8128113298292634,1.7722167126992727,1.65644762958634,1.7352918715809555,1.8145894854644755,1.7728065070757486,1.7232627386534407,1.687340386249655,1.6100155792074897,1.6833879345468776,1.7321146239867748,1.6527872658298783,1.707884641636786,1.5942655534911998,1.9505729606014126,1.7229566504355476,1.747338322984665,1.8533221478871222,1.9765312409599023,2.0644753392011155,2.1430011064399044,2.318777742964721,2.4716630866218763,2.2143401805647156,2.1774546286541683,2.0267207541634287,2.0769755472024145,1.8912274772236521,1.9063583388873953,1.7429418985151397,1.715666861642974,1.6682620555232532,1.7051269146978674,1.699932848557365,1.6528806129654146,1.6619826421438113,1.8754684006029883,1.95742715585702,2.2660121225659555,2.187187907536605,2.4692568289050056,2.354902421597101,2.604753934473824,2.6550076795653434,2.7465911240008385,2.957016392795149,2.954917584107995,2.9728255156032763,2.921465083461803,2.752969970457783,2.52075662194299,2.355167593248566,2.246904325119775,1.9603318852298686,1.9616081260117941,1.8234504658652406,1.8028007322273893,1.6147979508853063,1.7714118499584934,1.6100101894530554,1.704779604708721,1.761890390197622,1.933434095469256,2.0513683493420456,2.2718792135752306,2.5072110094684685,2.5920952661141268,2.7644676480032073,2.7757376658542734,2.900909034117686,2.9471812509399697,2.863445643786117,2.8467106031107487,2.77675393590297,2.6968213049952503,2.712804842627729,2.398925594563217,2.2534641355548284,2.200143625608601,2.055304738271083,2.0296151838712952,1.9173670654271722,2.0022389745393316,2.0612865768680315,2.044657466500544,2.080085427664967,2.1390786852147836,2.311586678796881,2.2931215541797636,2.5688895053093437,2.392993398424886,2.6652128826575074,2.5378348190312887,2.2762376843452694,2.3615059232958604,2.2550766175708894,2.463505567599608,2.272937035714453,2.498017354793878,2.3872902442862407,2.216283536494751,2.247629141117159,2.258695614425439,2.2335677334026647,2.4502214549363117,2.7047469697169055,2.9723814316464114,3.23125908436566,3.0455153083394295,2.8944415196393303,2.435775890644258,2.3558565969213374,2.514643644032311,2.4335107299187806,2.465516252558738,2.3132548717161034,2.4979561334684433,2.3630640310635216,2.5683744755642857,2.7971388573021523,2.6443177436885814,2.722174791188979,2.7806532730747224,2.692270329499982,2.608214924122192,2.367336686073302,2.4696274100116784,2.6692557265230965,2.628195722758632,2.751730841742084,2.690651123378713,2.8392168660215638,2.8853416040606183,2.942174762232807,3.0381350318450435,3.0504371088908817,3.089280316849514,3.103766127185794,3.0777848163200097,3.1553604520904517,3.0814133539244852,3.0412961311534006,3.1726733907438414,3.220122380127853,3.134301662549498,3.1629036660131438,3.3052460289831296,3.2754553943001175,3.201384831862113,3.3271416351491037,3.3878877230751514,3.292382689097345,3.3293173074976536,3.4617836880130515,3.47158050005116,3.514701201973742,3.517261283638812,3.444737375530269,3.4350634944054668,3.4282287276469123,3.3719272645905005,3.818974846138084,4.023689513757955,3.4076756172167166,3.325870237529771,3.280247033182837,3.272700851097976,3.3036513574391555,3.3415796629503745,3.2688842993048772,3.340914936653045,3.4820221488645995,3.3211503877129713,3.2921228438558567,3.332361020574699,3.2657341591448,3.2163970905098194,3.1550427981726847,3.1487895100779872,3.1567860010806448,3.193333123172153,3.148939171246955,3.30115820263928,3.092476259532766,3.116536867533784,3.229913530378092,3.1674451805191906,3.0009917766544323,3.165212181980262,3.200409313571272,3.1578973125597387,3.1886394140059675,3.280705372018268,3.2907794026142616,3.276329736033578,3.335148781392769,3.360037558170489,3.384631850736793,3.340351792171416,3.288965720077186,3.3171355635608606,3.394821298702992,3.359425308879004,3.3284867362184145,3.3924241371009147,3.3996001297424834,3.338121321518207,3.432772400277952,3.470397794474516,3.411736064635963,3.3728853807639334,3.426808515893902,3.577004382440678,3.4971846853302444,3.495975833394452,3.569553054662829,3.5703219073658055,3.5603815403743875,3.5000957982345637,3.399126611470969,3.2611368900098734,3.37530501170159,3.367235266855852,3.4042562774318172,3.377971520016486,3.2577621737415416,3.034300619647296,3.000820236256749,2.7308638127979807,2.879345064571922,2.866375917745677,3.0487978629553516,2.996249874273847,3.037539423457718,3.0327480871581787,2.836938003596675,2.7693190764048046,2.782471680035698,3.1127120746289445,2.8582761802537577,3.533771457047211,4.470775055969687,5.161031771257967],[1.627075709177949,1.549850336041543,1.6244469749258281,1.1842265998786623,1.2221943191436058,1.2974690749215492,1.1066465303289583,1.213626525946436,0.96475758491155,0.7975127653292265,0.7761194026972527,1.0271846529424895,0.8615812365919602,0.6693570604627898,0.848110623122698,0.8514139564394665,0.7725922418502025,0.7692318591231871,0.7401323026610904,0.7840290707474514,0.7370497151211903,0.78835592684367,0.8254387846555471,0.8562001863765929,0.992002837006812,0.7809021339892827,0.7047347844304112,0.7000153958787134,0.8070987428949551,0.9243026603182024,0.9203442272860232,1.0521407976996853,1.1679880608400108,1.0869268268886152,1.03821177953753,0.9018221267787074,1.0162054192342622,0.8570394611493464,0.8750651549888808,0.9868990733288152,0.8715637897229299,0.7919835240618135,0.8158605653666361,0.8594811924182162,1.1316826259699122,1.7719974720232128,1.6509127956346306,1.0209028520443078,1.4764490468459261,1.377909950222975,1.2129457271609558,1.513486430283553,1.1081289015922882,1.0924795076318978,1.8829422224116628,1.1719281940077153,1.1749508685777532,1.1171054075650444,1.1975134088219914,1.3034329212418891,1.0694260819861223,0.9532162104769283,0.9745398677642517,1.0454151542908887,0.8422989389711724,0.8912101336722748,0.9766364321550736,0.86529149100841,0.9377472467388946,0.9130610344406523,1.0929661013765173,1.3513084216341684,1.10601881175224,1.0915804924938557,0.913256942731768,1.5285226662972369,0.9237082037852201,1.0159161449177039,0.983034416015392,1.0162170526860828,1.0752717421366118,1.0924344555708658,1.3505047448908694,1.3062263009708588,1.0406086383636544,1.050820898908426,0.9259850961238221,1.0926925689382354,0.9124093830797132,1.0918760789416515,0.9788077593247552,1.0527166087352147,1.0463865109193393,1.0657276217528413,0.9834706460924836,1.0813290168045313,0.9829463603336801,1.1133329079915761,1.1442649402326253,1.4922556578448176,1.2966556161765026,1.5117648191076292,1.313157402886027,1.5217229555126353,1.5222930322172141,1.5629644439820987,1.8136012688945276,1.700092001979543,1.6971993718955463,1.7046293529028482,1.4886404083287301,1.2712913477155143,1.1353362643380487,0.9916669718915936,0.8127401013649755,0.7677972350842086,0.6988605843948695,0.6683404922732429,0.7225118284707283,0.7406115700189961,0.6562037765893239,0.6599271182377283,0.6694860372390598,0.7189410527631424,0.8375602745458249,1.0159739570124526,1.2601561408137365,1.3014035149559549,1.4664828095454647,1.5024104128407112,1.5914217903136665,1.6744421469904376,1.5416978877151037,1.5921741158757292,1.463080726708228,1.420009099022859,1.4285186338724518,1.116393342741659,1.0237784167714143,0.9171519553648046,0.8036590860965549,0.8251229872600573,0.7606454837377085,0.7645675945857988,0.8072569063086397,0.8357413954564061,0.842621367613431,0.9640960446487278,1.1104787749133607,1.140751402024582,1.4506116030052683,1.3803142603765233,1.7870986081349596,1.8368758285887308,1.5069948718154964,1.4695427047036689,1.2740826517054362,1.4160299575622983,1.1902093537562994,1.328509136783202,1.1347494309747335,1.014115524146563,0.9708709323901074,0.9841512727540545,1.0159748523896666,1.1476233841208388,1.3811527014124132,1.6748137172984299,1.959373272151793,1.79529444177123,1.5858040521502619,1.1172168770045705,1.0879834090925793,1.2525294386009738,1.1973368187713191,1.2837576668050292,1.1746220127417955,1.4127101861644884,1.1688268526427656,1.3958267228955987,1.5532814483532893,1.4063486192696695,1.44788533925621,1.476745943931185,1.3835232884805606,1.2865999598024633,1.1089480840730694,1.1498404511560325,1.469145039555825,1.2796935298746748,1.503667493227628,1.4004576122024028,1.528642209457253,1.5743148159713294,1.6060391301271177,1.7132856260024327,1.7265436668797844,1.779698584688609,1.7982155397294062,1.829464037924378,1.9160359241934226,1.8685467759144723,1.7917812310847048,1.912440231592681,2.0152647281526552,1.9194718910999602,1.8928080906326028,2.0804354686122797,2.1327645566739926,1.9816338325755765,2.1112007041383065,2.2385288559088723,2.1372450374590932,2.110941445179519,2.3046979629940254,2.290981593927908,2.4328984209790043,2.395938558343187,2.276021443572653,2.3396015630723297,2.367522970599745,2.5282845540978878,2.8433347265709075,3.157352452719099,2.349396499650831,2.2775998452952866,2.187141811273894,2.1846281434577404,2.1927006498088777,2.145648311641878,2.0881891480289587,2.1503463466811024,2.284147547629639,2.089730308820514,2.0778172207806325,2.100329088863415,2.053554473733723,2.034078195736274,1.9345721628081174,1.8963847496525155,1.9334367013901914,2.024406707050751,2.0354736078817197,2.299082434842098,2.068216399442333,1.997013100770418,2.190954475316589,2.2299817390012,1.9509137187084031,2.0822342048296343,2.242119220409243,2.212428349671784,2.1231454234871276,2.297966994955186,2.4031403119330643,2.297528187894197,2.3155460400530337,2.432423697162731,2.363614640492771,2.3482952397658226,2.2301890286031076,2.2759913680900694,2.364644553649547,2.218638584448279,2.191740826444513,2.272297302009941,2.2568727740103833,2.1278174570227977,2.267110427421466,2.3324732369288768,2.215827813097644,2.137025229579036,2.2559226891935067,2.4620374351033645,2.325725655438396,2.314588487829303,2.4122178965816183,2.4195719102056823,2.5580937708844536,2.3351266344838617,2.1800996001606245,2.0277912198301515,2.204936244794387,2.174731521367847,2.2235670975257604,2.173364986351094,2.0089564492308623,1.7357211185663446,1.704919483184656,1.4203501984140101,1.6228100293698071,1.756242523893791,2.015254858031924,2.1235473864205776,1.8780888188171452,1.933964555883654,1.7650180135224187,1.6221723717971148,1.576143359916084,2.1105217992346343,1.8597060148054507,2.5068016458909175,3.563655458868157,4.447867237557504],[1.714891905139701,1.6813242675838984,1.7995741101113225,1.4550335416524856,1.531275993166268,1.6742364511187178,1.5407916239093302,1.5851838193867547,1.4212890833210365,1.3033828204320115,1.2641383819985528,1.4058425742418934,1.335957695720068,1.1667696635489682,1.2135201897992969,1.2540188638638707,1.2632806163620698,1.2298535068836332,1.1627184424797945,1.2376459856826119,1.2050789260986323,1.2533885298232026,1.236445099991297,1.280036948613554,1.3604737657943038,1.216399833546444,1.2044357587010697,1.191287539254687,1.2716585001922163,1.3291315621069208,1.2804738096942505,1.3749734065576713,1.3934218564806446,1.3396196848850048,1.347114146944722,1.289852445637036,1.3625156139323304,1.296681823885558,1.3471670730161525,1.3741826404752246,1.3530753356281557,1.2447259836762932,1.272445660615685,1.2941770963120465,1.5744943430643525,2.105411861002464,2.029466203094787,1.3947542721342159,1.8325551992989402,1.6953129996973773,1.4997365538315872,1.750210348369958,1.4283881896705393,1.4120287244321923,2.0834679951283084,1.4731866117179897,1.489936504430927,1.411240473071777,1.5011451474800603,1.5853132628484798,1.541644804798686,1.3378681726517045,1.3128881976889326,1.1747871417018554,1.1949598820363398,1.2642207970623036,1.369070548945527,1.2610058661734536,1.3475278639419892,1.2504178173379445,1.427392901609378,1.5545242722262176,1.3449942161236073,1.3680205703468777,1.2108066995032996,1.6315786541054145,1.2348071627584916,1.2763131755995338,1.3123952774701213,1.326263716017586,1.372982978280752,1.4134314752822097,1.6411854261596182,1.5526649742653265,1.3471865405630024,1.3861522551137528,1.3129180071457236,1.4054367612972367,1.2905686345603828,1.3640625125762655,1.2666128358887363,1.3279746435314916,1.307319612208702,1.2943301958597053,1.2712982217987474,1.3062294993364632,1.2839505226329917,1.3752565062593973,1.425584108009778,1.6633916234243722,1.5125819807128182,1.6908887785801436,1.5730555891719922,1.7180964724146968,1.7051822451257523,1.7546560433010288,1.9112171796166595,1.8418746622641515,1.8499654706092865,1.891432510445461,1.6945331956317988,1.5952126266519477,1.531825599683366,1.4388915606389425,1.2928051008687185,1.2785693239451148,1.1679354379499338,1.1890885042136548,1.1542817206188491,1.2661659033402133,1.138096629979439,1.1819886171971894,1.1832935139264231,1.2524903817262885,1.340711046704726,1.466279899488909,1.5807137038586943,1.6532434760097565,1.741926987737604,1.75807951030621,1.8259355207070107,1.8508583590506424,1.7834524658593316,1.8044422623646015,1.7717231999901153,1.8120705946926579,1.6982817538907877,1.519187324131123,1.440016296405926,1.3932158393418865,1.2462951666063207,1.285696589606273,1.2347791762753826,1.2672813178168787,1.3167692083898983,1.322381510194496,1.3393246656285944,1.3993894422121487,1.4935009842415479,1.52098754461472,1.7320367515973496,1.6628608516169954,1.8819043410264147,1.9360082555576317,1.7028677780281092,1.677802893727875,1.5611136974179027,1.6605982392147345,1.511176804959001,1.6248745545226555,1.5054069902731617,1.4338487071552548,1.4540230062921948,1.4335354928948991,1.4647542366564887,1.592209117553305,1.7879227031941134,2.119744033927186,2.3397867130520864,2.217013916825852,1.9752174367711723,1.518422437411304,1.4577686120049806,1.5962190476425082,1.526334765757938,1.5732681424060186,1.4964661360978238,1.6695387353512472,1.4889453379432593,1.6726895254226877,1.8847545140206823,1.6799794663746555,1.7171516459908678,1.7421985306164296,1.7022949794099784,1.6336899514816536,1.5100734781962757,1.5475840457200265,1.7683811399997114,1.57224308595695,1.8641596860221985,1.7782687296877253,1.8586836789527366,1.8707533700466803,1.856813083765302,1.9002392977912852,1.9132730250123873,1.92102727586575,1.9059510030596394,1.9703518027354707,1.9403052860369785,1.9115856292381412,1.9067581595560144,1.9395083109089333,1.9712065893122233,1.9437288425937285,1.9262526999515377,1.9938407272939438,2.016242274345587,1.9675442966820067,2.0165451602516504,2.056074077346014,2.041265060818307,2.0260157506752425,2.0859271337740397,2.1263235175905852,2.1442453067462344,2.1948810912286394,2.056410980175372,2.041770209111343,2.0831364701263064,2.218890196366156,2.571877604108728,2.9361981084073494,2.1013976531145735,2.0825918523337017,2.054714748436813,2.038120996490454,1.9817480061191128,1.9772684205012878,1.9744110778743327,2.0027344848088915,2.14323910058646,2.039518597699537,2.0442929308021562,2.0508091298450957,2.0551072443317135,2.159494068960023,1.9999483731533096,1.9681382558543061,1.9267353926905593,1.942206167385037,2.0057628543290806,2.1942283562577916,2.0801947821349853,2.017483981735612,2.1073599349031,2.1949242913053433,2.0010304088811295,2.052629884254941,2.157584721355844,2.17642329967325,2.0778128877749413,2.1229835632764074,2.223366348091557,2.199345156135711,2.0894161780811067,2.1348318145866867,2.0822234295737485,2.0924081917194566,2.0539005614165347,2.05529549239282,2.076819848747155,2.041123507778132,2.0361214494024327,2.0248218139056493,2.0312471827824976,2.0062019687293993,2.0753864045997155,2.082878365745912,2.07245995828497,2.038095203512109,2.0607735722186047,2.285598401229909,2.2038662297946088,2.2367666505165995,2.285855756629318,2.3259789309990877,2.464938099594901,2.2581964837977053,2.1179435034055856,2.0464155530425328,2.24898426776543,2.226656238227054,2.244548713790572,2.232252570219726,2.0269667913434404,1.8799001682310712,1.8714879039708936,1.675688184987937,1.8519991905936266,2.027873184755937,2.21926697015181,2.394324146628935,2.079208803808527,2.1211848977720593,1.8451837423114,1.7847653505471415,1.7764437987760002,2.271971591741847,1.7393988698551264,2.2090988362770485,3.2718086166309863,4.290763767156554],[2.373147565048553,2.3631938755221378,2.436401995828111,2.063961857358494,2.125708418729381,2.120150118266531,1.940890512084532,1.933943623499692,1.6940044470505193,1.568669220759934,1.4678094685096632,1.6033787072246701,1.585036948888923,1.3867876200237197,1.3907837562558683,1.4652872165418096,1.514626739826043,1.4521888810459858,1.3919805480315453,1.497137520795044,1.44956698232949,1.5174253559654358,1.4818173261337364,1.5757917612881616,1.6506951729551518,1.512128455656222,1.5310509216692942,1.5146029202843545,1.5506979672199497,1.5928122668723634,1.4618085181813851,1.5800645950556769,1.5761153670896133,1.5094594591433117,1.552442850392482,1.5223023009403045,1.6255755014492235,1.5954790297559736,1.6877118216182925,1.7450733787076567,1.6885505733246982,1.5538029505318827,1.5968085817741497,1.6541303628375141,1.8845537546374516,2.3975244121976447,2.3183177569714757,1.7477272948292422,2.13367608163049,2.0805067851656798,1.895960358871421,2.029325179195184,1.7842357775749675,1.7644410708781204,2.340545758969634,1.8062163894347751,1.8196719682550624,1.683023866397756,1.762452835414659,1.879036557997548,1.7787619363800886,1.5300710880122674,1.4819546573756077,1.3727041109045228,1.435464108804364,1.498217514756415,1.5424242928275977,1.4586995842614339,1.5035588391898744,1.401364699434646,1.541839240532497,1.6311050243100091,1.4559639432855969,1.507043164615941,1.3504273993311946,1.7141172508741724,1.4087636399669603,1.438190466275531,1.5050046037275968,1.5698810925602567,1.6398657730423585,1.6983494864927842,1.9001591237324114,1.944605767243383,1.7207250701881895,1.714172272670898,1.6083152431107812,1.6770848159694878,1.5306084620947442,1.5558725471488575,1.4287245788402436,1.4616884402626424,1.4294714143123723,1.4259411682299676,1.422984904817617,1.431223355687655,1.4166586070012657,1.5474413404483414,1.6147050422193894,1.8576171919548217,1.7555233033672186,1.9781815235472116,1.872533509443717,2.0808724754415153,2.0976342156549186,2.202492964910831,2.3807352463982387,2.3859449298635127,2.410030084954568,2.3704755184074715,2.1986529779351014,2.0451001414728793,1.93374441261887,1.8586423234842953,1.6347321018885288,1.660277730418723,1.5085826226001349,1.5511945524723014,1.418327181388073,1.51545044147575,1.3998662412581426,1.471854694115881,1.5405146513776196,1.6434052622053803,1.7372842750182276,1.9293645899548375,2.0623578224015873,2.1632112942238058,2.294804387530371,2.2781631234965114,2.421190738174667,2.4339110705714995,2.3661697863703783,2.322393800805815,2.3209929293136877,2.322137485602299,2.289423768845712,2.0498974231351483,1.9457269455692894,1.869219216018394,1.7191143869223429,1.7228348109543776,1.6135328908707536,1.6660235052471386,1.7012747498612832,1.6668714977949721,1.711214570826187,1.7547168841489873,1.8711170924282965,1.8680099528971148,2.1011343702908714,1.9558018413286136,2.19540303887416,2.133714762118463,1.9000321626493906,1.935555394581084,1.8265997962465246,1.989751667065243,1.8158590724614214,2.017664049636925,1.9284054757437181,1.7982180059734112,1.8688385397674714,1.8474536435975222,1.9157731321059956,2.1188729856338306,2.343618653106802,2.7157682855938945,2.955046250058132,2.7895593139977155,2.539397778963289,2.036679934593552,1.9314162911587835,2.053139183616786,1.9439563963386146,1.9531749292217113,1.8277473340110315,1.981702033058763,1.8619789247963596,2.0712788169387286,2.349118845417647,2.1385542638899167,2.221767566923047,2.271132084410168,2.2184653012008,2.1234464595892732,1.945212698658311,2.0270601474139864,2.230004482091293,2.0996882493524995,2.372779949343536,2.281093390432869,2.441409139825249,2.4715173583312167,2.4767840023417325,2.554858564059163,2.5731832604686367,2.58352310752777,2.5978306423307553,2.5781574654773443,2.604672848147443,2.5076612293317613,2.506803351470518,2.635684719624745,2.636222996125148,2.560666266882052,2.6465129185126113,2.733969425604096,2.6591600750820894,2.637945589541647,2.768552000545101,2.7937023093186264,2.695711589092214,2.7673431211028388,2.8991450885279333,2.9755932343637514,2.9430380483981224,3.0711033530969267,2.8933665030632687,2.855289184760982,2.884356936142422,2.8472382686626765,3.3575753765435525,3.5423773852973177,2.8088842864758945,2.744391955587255,2.701790807106293,2.687305888824259,2.6913515686803016,2.7192657051035116,2.671150996511314,2.754484380817999,2.912359818704092,2.77519923280222,2.748353095269797,2.8228325951312896,2.8078713408605105,2.8061681317863005,2.6886207067539774,2.6136110125578096,2.5731734456581763,2.583074181899828,2.5610424650840504,2.728554551587669,2.532817540143056,2.556503196085009,2.64786754930588,2.613090017642542,2.4434351688459133,2.5866731487402457,2.635099639548718,2.6128554508013955,2.602043640552441,2.6710859895980192,2.716927540734501,2.695656073973992,2.703827047278136,2.749456344202348,2.7492306325040117,2.7243303338773552,2.662291531700313,2.707109551240587,2.787010383979558,2.7592497054519045,2.7350286828101895,2.8024650547554493,2.827488783660579,2.7740910845125573,2.868353625167448,2.939204444862309,2.9142363930856408,2.849606445983439,2.9170134057594477,3.1501662287214245,3.0741215418975005,3.105587675280913,3.22522180238312,3.2587641316157923,3.305343508667562,3.148807337477585,2.9472561471339054,2.819717667137184,3.079293295448999,3.039616901918198,3.094514136266906,3.0327686450205564,2.7959866267376006,2.585410326116506,2.523450911334933,2.267368823545837,2.4323469842201852,2.4529237244175675,2.613430936827269,2.6163916667953107,2.5506225875024664,2.557436734180526,2.221213595258581,2.1976271050041105,2.2476215569366276,2.591099119549973,2.1035115462822476,2.7075792277870834,3.9269160502112737,4.837891987575778],[2.0919359022166746,2.0390890156281363,2.1066347185488983,1.699049185936925,1.7081785750688798,1.7201559771725665,1.4996384368664517,1.4944753487068985,1.241755593583196,1.0770380610759787,0.9781626709842289,1.174698846957484,1.077950031227654,0.8915696863194295,0.967384563328367,0.9972845774506574,0.9905679787329685,0.935668587443222,0.9171777372858712,0.9670310962183695,0.9293476856077458,1.0074699828347569,1.0392048418462454,1.0479503418941005,1.2014391788526417,1.0168220154417174,0.9871357467533783,0.9706837106785643,1.0022465458873095,1.075337009169022,0.9994157180672523,1.1400222792163954,1.1846046277199906,1.1030998070298388,1.0929151487917235,1.0148480322998779,1.1389217607613957,1.0518891133866881,1.1439636012454701,1.2146489761239707,1.2164856845005299,1.0193322829080624,1.038717306203887,1.0647854981231204,1.3896331670791588,2.0006147097318885,1.9410079614814697,1.2039398741920968,1.6653071013932605,1.5668110448089834,1.3734574495564382,1.6320955886589674,1.2699104668644337,1.253867913598238,1.9451594137797963,1.2907602390432407,1.3070801905235798,1.1912614710193739,1.244474980100848,1.4018455628982496,1.1551398855939472,1.0094003175787511,1.0552649728319607,1.0988809388448317,0.9546091564335214,0.9941725323022113,1.0963777919976867,0.9690385208186205,1.0432572373856552,0.9957767715568341,1.1757430342267037,1.3450069891308611,1.1382202945298003,1.172680992481354,0.9843069288568536,1.5481282751573584,0.9907963983378043,1.0266618163750296,1.0337994550164613,1.0553421126635556,1.1536308479633983,1.2274962712645803,1.4605122700133544,1.4446249250809382,1.2214933687569673,1.209556963405296,1.0792204156684202,1.197489376923645,1.0132427614498964,1.1060477353784743,1.0057787599187489,1.0841601807240462,1.0746305604523128,1.0804705929771792,1.0328011818937135,1.0975874498599796,1.0268422932525214,1.1533064619707485,1.222971908588057,1.5521362500133322,1.357046643096119,1.6234603924648374,1.4402862186741283,1.681737251462259,1.7111868426091872,1.7903178920213574,2.0265836743766976,2.0148956683561066,2.0419502830865235,1.9854378814479472,1.7930647005410023,1.5979827041316614,1.4678717528919836,1.3741600285898095,1.1444707250641617,1.1756449881309547,1.016227361128669,1.078661631998826,1.036078062176163,0.9715411656917228,0.9320517068983931,0.9586046520922974,1.1027336745630942,1.150426315385796,1.2604953278227935,1.4721046150715866,1.6480975047262183,1.7243549895225572,1.8715044357087274,1.8581586687234966,2.043732316712702,2.0860667571683758,1.980740945977817,1.9105207173228471,1.9087620696116778,1.890984801271248,1.9459260426729847,1.6207767939121114,1.4802151761941733,1.3764828594566283,1.208071598959385,1.2199875831068134,1.1384528735506059,1.171200297284524,1.1761220164317143,1.1347228128049351,1.1882612163075321,1.2316312029363912,1.3718399695608703,1.3892239319607675,1.6798010067600597,1.5638614926053718,1.8803705876272367,1.9333081049467213,1.623388653271783,1.582451588435106,1.4093259217485958,1.5776416124996764,1.347942597084979,1.5549115303953391,1.4413197972093454,1.2810149828236295,1.3591546427666392,1.3117381967347748,1.4825691430322958,1.6706351711018457,1.8878016276622978,2.2651257891793413,2.5267698213609995,2.3380474408368896,2.081268905319654,1.5799003777681326,1.4903472122542456,1.563986406220505,1.438102246979056,1.4882798260659698,1.3434222730845538,1.546780571585262,1.372841577799105,1.593323014625187,1.8568943760113166,1.6858919550102904,1.7741530643129197,1.8235089884990938,1.7534929922006397,1.5980399803685454,1.4221194081217883,1.516462341938318,1.6660033431736045,1.5348967451826852,1.9627449804484425,1.8698307680627446,2.0283655285155424,2.074294257114063,2.105880703332594,2.214204378993268,2.223843187832774,2.2516494141391714,2.28726307757887,2.2799035735157127,2.351107344100065,2.2496536630266912,2.2066493768713067,2.3706201962096505,2.423413465469999,2.3135821476330816,2.368979157760104,2.524791011304113,2.495609872688025,2.402031335586643,2.5539803311641824,2.6400801929635973,2.506486071545913,2.532449254761323,2.724648578417062,2.773257250594401,2.85373931720892,2.9270961565990508,2.745052956425657,2.7727948065203694,2.819646785442993,2.869889825768046,3.322487780805275,3.544823813484034,2.7375674252472657,2.658372057857759,2.545989500362835,2.5527770339834652,2.590985700617009,2.542190626072961,2.473628093590597,2.589770894691707,2.7273322001812277,2.5455548762829583,2.510228161897214,2.6245937467834866,2.611772007761227,2.5776462561660924,2.4553576237888954,2.3253751733618033,2.322436229927162,2.372798365000791,2.3481403966106904,2.560799735303776,2.3198014012731134,2.3154438805966167,2.480337946962848,2.443280951386254,2.2318527831118478,2.4057276999385095,2.4899341422246275,2.446728150556135,2.4257037229264165,2.5754591275240264,2.6392084102305327,2.5707970764804813,2.6270676682920513,2.7291633118863894,2.7022319387079934,2.676009484957065,2.555377934914336,2.6245463567821306,2.734900443006656,2.6203682829917936,2.5977216096461797,2.702391296212482,2.7081790355142727,2.5921423349600192,2.7333603591975004,2.823145329337105,2.740889950666645,2.65674231291499,2.7931359530549833,3.023666224849902,2.8969267675954407,2.890057734263176,3.026559294508588,3.0246995340095664,3.15549262342764,2.9010614590599633,2.6975336054894545,2.5333431606696046,2.7866503722182183,2.752405509197292,2.828986455222076,2.7640156076000024,2.542059531453774,2.253409295429105,2.1887961637402826,1.897224296440618,2.09956350046086,2.1870456886558527,2.392732113460365,2.4440818843592163,2.244494529749464,2.313208502291264,2.0028558421719382,1.8815043857616247,1.9362850545942176,2.434504181870412,1.9872161702126907,2.571242320174839,3.6798109161235715,4.60828286157195],[2.690321873934193,2.6853103695683633,2.82589115684635,2.56836587341679,2.6073222257814535,2.8016279188896416,2.6756497890851136,2.614210769168314,2.5393488527221773,2.4485939867435778,2.3602337299406093,2.405303015708393,2.4249571806012873,2.2971687951127486,2.1886016682326432,2.287173357909447,2.3396390404472087,2.2394703298417746,2.1826096365583427,2.251859180933237,2.2252398524452683,2.299001608680849,2.261886271592918,2.2141187063970125,2.291267199632981,2.219332703489955,2.2976791852729064,2.3203068705968093,2.309167666641297,2.3374634425618948,2.23292345568747,2.3437280052857874,2.295180966735506,2.218244829527287,2.2928589313953074,2.262045637286567,2.3489830229655766,2.3590168447784423,2.4340901175615133,2.42653044189598,2.4792964200553635,2.3049968795561253,2.3346998430661925,2.2017884320746686,2.4911518674036524,2.8563714368296678,2.8348708611614715,2.1959172485399687,2.558235199090896,2.368607300920377,2.315425171100123,2.4057409215045307,2.3534182735738427,2.373635838483013,3.0479086824516584,2.4703666842048904,2.389433748091147,2.3896957422498315,2.404925503055304,2.3665612436638694,2.3477976430412575,2.218177659528264,2.2520504255933878,2.1670678986614136,2.182452573200456,2.22449211871469,2.249083204863231,2.1817364426079786,2.1696569339449425,2.1260165596883116,2.1503588744099327,2.146483350904952,2.121492361035731,2.165174113903233,2.130959777766677,2.3147246618996937,2.181617963597134,2.16099664722058,2.256530828788167,2.2500084054031464,2.3436754115921956,2.483169660471705,2.663700375117282,2.4821563330128815,2.3122416283314093,2.3932763955267076,2.3588198903796966,2.3701239639026164,2.2679136853170325,2.2627669812318496,2.1674597008100704,2.1761684083183344,2.1609997832945016,2.161544243881416,2.1881480949060785,2.1446607481707223,2.181787407234789,2.292324529324528,2.364876517829177,2.4811612088973933,2.4074886755960616,2.5593897745183924,2.5125144920747693,2.639405478627305,2.6939457240709794,2.7152160404274444,2.8244707858428053,2.822892951685054,2.8316191155923365,2.8246528727182634,2.6865069762295763,2.6540051032744065,2.6273221766483785,2.572501893587585,2.451399204182206,2.47289254704739,2.364079010093447,2.3896339545718757,2.361041186767902,2.3230179922412315,2.320051548547799,2.3175049486846904,2.437642254425147,2.460440408072237,2.5344916075676376,2.6278968461449193,2.640979684286731,2.745206834684998,2.7832602031493456,2.7805253936590444,2.855086482487892,2.8735890455701467,2.8255536751459003,2.7830395464860054,2.8473784385309795,2.9070308736147856,2.86192742094255,2.6548859114880337,2.573893868504081,2.563474984228454,2.386356469353298,2.4196654563221776,2.414895887764065,2.4531667270169053,2.472437538969001,2.438380016374825,2.481620614329296,2.4965468894933784,2.5537322242099294,2.5508775960686125,2.6789532663825866,2.591769848289711,2.6347133877992754,2.6140243562751806,2.483722282596771,2.5452463012870354,2.497293428979601,2.5741844928369613,2.486302277036276,2.6088084112455046,2.5969106600992413,2.5435617214436874,2.5797851479478418,2.5181535884720714,2.6634846660043414,2.781163847510872,2.8749287732411326,3.155107159078908,3.3198645557072095,3.2050550284606674,2.979053460787742,2.6468248037316595,2.618247178490517,2.6590289623280468,2.563000657449163,2.592405570811304,2.5019115975522,2.6420451595657095,2.5284367023102177,2.645060276153992,2.8739599630149564,2.6998124508533774,2.7424921888744995,2.7532131813552243,2.7323101284300284,2.6321300148912132,2.606203072756893,2.6509393486862316,2.4915122866450314,2.4214841433244163,2.918951719148946,2.8861745543438113,2.937970455122649,2.9335605316305804,2.893998315850789,2.8838334410731936,2.905837060873982,2.875848865166544,2.850343639205692,2.9397923697402675,2.8816716774314037,2.868398505509486,2.883259624800224,2.8767414314887176,2.889726584558969,2.8936203927049617,2.854606750516329,2.8846398878627735,2.9088429924572994,2.9007103558548097,2.8963210771378187,2.902314201210466,2.925758574705727,2.9010708506904135,2.861551128107102,2.9201476827922273,2.883614185905599,2.9281817959004375,2.856982108436809,2.8329923427310115,2.8635868742325066,2.820770173343168,3.32903983901527,3.6368925732929904,2.9220712140063556,2.920390470811641,2.939443138170247,2.8900376030186083,2.8184652234174146,2.833345715186289,2.853389581319623,2.8681035701513418,2.9522929352010134,2.916731808891242,2.918948242078908,2.896729718268183,2.940574332653802,3.095668269020851,2.930937450037205,2.9273033688859766,2.854816251074084,2.853899604692604,2.9197123745216675,3.064182309914069,2.9912640695177215,2.9438966581191237,2.9786420277494523,3.035219205544078,2.914889857704283,2.9613207241873627,2.996917321879199,3.0204549148470603,2.97058281396014,2.9560809204451304,3.023470515208936,3.026179443258116,2.92039320801452,2.9417511601774335,2.911886814229243,2.9269132368990856,2.921965827188935,2.9058958485015403,2.894129203451045,2.900032881876657,2.905549075926445,2.8650063267612613,2.867614224611376,2.870696609761367,2.9080356144951542,2.8884404862042987,2.9021000505625563,2.886921209401663,2.900577910746037,3.0694500135236082,2.989461809116062,3.0390573441893944,3.0352118452104957,3.074357451540075,3.139216556737324,3.0225606276136485,2.9336123741303957,2.916484284303052,3.08831956048508,3.083890435268035,3.0830522537636598,3.1176453673776243,2.930084536883804,2.858536045312081,2.865422800809024,2.743012322131565,2.889827431455714,3.131740096404144,3.2897114597052477,3.4076545041434283,3.1074657186635855,3.1882730731540248,2.857042313428183,2.698941526416133,2.8314143315160396,3.321345065162989,2.6334741056316395,2.770907582442574,3.373711100048821,4.483506677978088],[1.8419952857738557,1.7624922252386646,1.8366928757906311,1.5317143975755956,1.547676861407922,1.7233328586700916,1.5793640326873608,1.6512268587273673,1.5152407503002585,1.3822684984322844,1.3497023844848948,1.5388563990589044,1.3951654352712257,1.2540566116932312,1.2628774491742247,1.3173051247223608,1.2933587371502595,1.2297093572130848,1.2302439431018348,1.231386437449472,1.2281300515369435,1.2748160316035975,1.2870290180095978,1.3084502670941314,1.3811024005806105,1.2627719255523826,1.2270301733686866,1.2503072903773942,1.257362426567804,1.3446087194460876,1.3357956106282651,1.4514383047625659,1.5541558751821536,1.43957972401929,1.4160374290163986,1.3055126169758318,1.403086145565064,1.288647585743114,1.3236778646577063,1.327374863656006,1.331105863729857,1.2240128033763809,1.2484199087034984,1.1847152388291786,1.458088856786087,1.9485412619212896,1.901026033724983,1.2521391426147495,1.5914117548811424,1.4428710370363114,1.3861366800104638,1.4517881923091873,1.2579182313186381,1.2538806027659013,2.055085920030402,1.4437141911619986,1.4702022941794939,1.3776123945846848,1.4324732648143272,1.5879776637628926,1.321703350693274,1.2395788535743184,1.3199687115015724,1.3472065644873952,1.241470177608422,1.2513062062390101,1.3346198778375893,1.2640221768768485,1.271874116953026,1.2546342714894354,1.344736072803728,1.541411031130905,1.3836586761036043,1.4313724791527844,1.2539776094677297,1.6920141707239444,1.2748498561449306,1.3268981235982131,1.3415772936589332,1.3384362179544895,1.4199176638667965,1.4495997047246205,1.6804218169143637,1.5523149972821488,1.3119030974921917,1.3765439582979864,1.320802388036427,1.4562687209998006,1.309380590904081,1.4155849458108778,1.3167220039911476,1.4283672893340476,1.3921154553090203,1.4004824491035075,1.3625735881929146,1.4086119366062744,1.3636123007411904,1.5197545954901144,1.569001012143554,1.9349826387903504,1.675800407903918,1.8783478788389578,1.6781807232745303,1.854823215114731,1.8351590852777573,1.8385241210852603,2.0367343850721795,1.9253925957139546,1.920488238475487,1.9710709290418533,1.76232287799074,1.6091154712769622,1.55496053796416,1.4584094871761475,1.350103880211505,1.3663769084107527,1.305414415487489,1.3394855078946342,1.3856228164838773,1.2954097965081912,1.324071561689936,1.2804979230711986,1.3875378154447724,1.3558226269262479,1.4075783987628716,1.477765170432519,1.5813963277948058,1.6407362790942244,1.745601373472738,1.787516264081214,1.8288465674248784,1.8995053349897615,1.795054034784961,1.8084957863146622,1.7775673989225076,1.820227346221326,1.818809830042521,1.5286252058580974,1.4295759186561825,1.4069676549388461,1.3369395311831522,1.3638634651725776,1.345470746953898,1.335051661818662,1.3385221706027455,1.3326209983778126,1.3560043879755983,1.4126866684459645,1.512765762806415,1.5528173375926377,1.816979870785777,1.7956613847013052,2.1225778424456,2.307494545992596,1.980196619473087,1.8972265925527634,1.6853213852791153,1.7857178143694687,1.5721150890985023,1.6506000112179298,1.521210729440775,1.4510217435263426,1.4319318148168232,1.3923399166000003,1.4859802949675387,1.628377429821594,1.7256415026618341,2.007911538491773,2.193179976816687,2.0697045996349326,1.8371103506471218,1.5078391760128382,1.5031667329975233,1.6126529671470091,1.5353507845270136,1.6352044432501307,1.550641661822095,1.7677246802666886,1.534762151475082,1.7203956488232583,1.8577926466318426,1.7028626794008743,1.7114055920758204,1.7197581665951178,1.667389361470338,1.5591128971033625,1.4831267365451883,1.5279403408165197,1.6331253503222085,1.3746258921697776,1.8200721886085351,1.8433597560977815,1.85359569210245,1.861530055831392,1.8559946292391414,1.882280187504969,1.9117716318634508,1.923446780228607,1.9131502264255864,2.0440045221352237,2.0631218723361755,2.0765118391246973,2.0000432978052323,2.028390463758984,2.150838867228442,2.0975024129395052,1.992352370867089,2.13277152860256,2.278915728036009,2.115798265387679,2.1360839875689854,2.282348888501183,2.273566166621543,2.1413378172674062,2.223331882067034,2.20277594673,2.428228133497989,2.2881075101423973,2.2266477094904755,2.317950462374589,2.3575848955713115,2.6261257653291157,2.8650637549940017,3.186455924322576,2.4308774591805555,2.40375184483151,2.342862839353762,2.2972883061589795,2.265429885996922,2.1779522110854637,2.1605660090175367,2.1868213394094025,2.2653087204137825,2.1317171980624416,2.1152683598816573,2.131252517561137,2.13340418094378,2.2249386693886133,2.065938837958964,2.066321975481613,2.0636007914418752,2.159057808478094,2.235514006721969,2.5038047316496246,2.345057243530032,2.2128611358005026,2.4113600326714435,2.506845346591447,2.2379294213499543,2.329565724370859,2.5081605662691584,2.5096291218147364,2.369013044151113,2.519642701584311,2.6698056908051178,2.5694569036236796,2.4897704046344917,2.6228348777150727,2.499957904136264,2.5134766769787054,2.3998434542543787,2.4183143956167097,2.4589191168562854,2.3014122433108555,2.2891452553789646,2.310052366365556,2.2744308360643406,2.149002226302524,2.26955156536761,2.311964337122073,2.1923749402215797,2.123514654176591,2.257361063098995,2.3921009945707508,2.266012883354514,2.2603715178183896,2.3171550891233585,2.3096914852379253,2.495909452048702,2.217652954681932,2.1152354450822686,2.0282093391124967,2.178916085241255,2.169756955700414,2.201076843245576,2.201924149300203,2.0748597034180922,1.8895535381824038,1.892179642545436,1.7160148815096223,1.9025100699615594,2.129335791089572,2.375561767649018,2.5278135841998077,2.2406175124890897,2.2230911327930647,2.080828419000011,1.9911577895447818,1.8660877220427807,2.4387725818353183,2.059831855716794,2.7154255102044003,3.589576338417894,4.610928606907385],[1.3265288865859988,1.250963206089647,1.284674861673261,1.1142255929540577,1.1542496247024214,1.2889474832037229,1.216471822153806,1.2632562677143386,1.197726640149628,1.1130938258768674,1.1057806934458256,1.2343523707049495,1.1297621509323168,1.0202143767117944,1.0617505025965424,1.0920039764483827,1.094278964993918,1.043184317989064,1.0148988978335478,1.035678314812437,1.0211426387782885,1.0628193850824408,1.0766868367963938,1.0771180156322988,1.182790007808234,1.0468095254130478,0.9940414707329762,1.0115323497273536,1.050853594133042,1.1225447898709755,1.141836029302069,1.2134132819006431,1.280103493545354,1.2019081053798426,1.1758750853648188,1.10087251362368,1.153816897295903,1.0726999142123863,1.0852853364378139,1.0844881724242321,1.1074140990990953,1.0107453972427836,1.0404660962035015,1.0090857435292981,1.2910479273115087,1.8147141985084956,1.7626292344249008,1.1255175307460104,1.537682347142461,1.4115393609114197,1.262306641535628,1.372351834333497,1.0749979769335536,1.0641277166362297,1.8546944980437587,1.2189898625171813,1.273332606038712,1.1856513003360603,1.2557803821874696,1.4607448874531226,1.2395648487643622,1.1241132372848988,1.1743278000347708,1.1228490353531873,1.0163502225292997,1.0780347496060911,1.1770828639435365,1.0928910315664548,1.1277887793618604,1.0957881174976098,1.2265036798767741,1.372271548923299,1.2166953206738647,1.2635856782956054,1.091639634631503,1.5258952737940341,1.096386341447951,1.1410600348715754,1.1563556044017202,1.1336563757750806,1.1696145829111362,1.1971092603002695,1.4903074280539328,1.2417094111258666,1.0930984283390228,1.1260746215996835,1.104376510806898,1.188538709599769,1.111685119802507,1.2094069863219836,1.1270685876960007,1.2447967984547252,1.2235771545147094,1.1991791597381924,1.1658333832046743,1.221813053454095,1.1843316846660492,1.2555179532674394,1.2759000989594842,1.4839949470141247,1.3039782690868365,1.4235907580264944,1.2843549019801934,1.3967700515731287,1.357593648925357,1.377960576166314,1.5372384852469432,1.3907017563453938,1.3893998178701898,1.4825290934438498,1.3025840998170262,1.2128000018557947,1.189113249325383,1.139479406395682,1.0846001934241218,1.0739914391110559,1.0259623161968952,1.0416615968354372,1.1062084237357332,1.0846846403764483,1.0443235025068172,1.034245120382923,1.066113838441406,1.0460261671445106,1.0993395588586712,1.1353433219508309,1.2025741873433498,1.2408336919848773,1.3048415643386382,1.3479683127341666,1.3689777451059184,1.3814400023742475,1.3425492850613159,1.400749091773172,1.3679696420680214,1.4614561099105816,1.3713462553669145,1.1819750426098021,1.1124225238067358,1.093730648835882,1.009501636313433,1.0539648712128658,1.0748606195773462,1.0523496659593279,1.0735502899139227,1.0903385148474025,1.0893122292392405,1.1349721566712156,1.1826005144689276,1.215515294352416,1.3935771340318261,1.3720303658978013,1.6133534287177138,1.8103629936693628,1.5102636993104648,1.4275586242884966,1.3070264271667673,1.3528051596109298,1.237818717289593,1.2585673304374834,1.1810252652073112,1.165144468779913,1.1466615273415175,1.1207587142912685,1.1620609478191284,1.2649532692086058,1.3704041729991334,1.6661313574298249,1.842570470123271,1.7537834272693942,1.5027927721919467,1.1666379381444658,1.1630458839557,1.281934442430595,1.200594119479488,1.2639836390003674,1.2098020910126361,1.3783749094536504,1.1777936798320234,1.3748436697298707,1.4839086050278918,1.3084130579699442,1.3139968832423465,1.322067227486181,1.3087402440823714,1.2459251011575814,1.197080914156431,1.225376910233528,1.5014631285371465,1.1129543641291146,1.4635065733132542,1.5112108887047553,1.4688895315569404,1.4545556413654985,1.4110494550704085,1.4373501693868327,1.4529846386532348,1.4121625205441302,1.388054572305367,1.4838543371833495,1.4018866150954685,1.3930395362435735,1.3947363963614816,1.404026915223174,1.416779360086877,1.396654536845586,1.4087571075702339,1.440949525313598,1.47254835460837,1.423503870904654,1.4668102510177683,1.5228652342723277,1.5101825400999092,1.4990084656695468,1.5810762213872356,1.5760071815276082,1.7404543091482134,1.6756100082158885,1.5515532529696248,1.5452699357260893,1.5919429974694155,2.0997945158063698,2.0319073690579588,2.3580900131170117,1.5876528537071535,1.5327965424442904,1.493449926641974,1.492149313189392,1.4912467444576403,1.4494634697940316,1.436503284308777,1.4757122955921484,1.630841865382177,1.5163860993992713,1.564547771789867,1.5474154735951102,1.5609040727758061,1.7124420911149545,1.500462165092359,1.4552237576305866,1.3770526595146608,1.3948489563229873,1.4538304728078286,1.6413229456864016,1.5473686375657978,1.459698746675546,1.5469487992310744,1.6796246950129465,1.4593674602686328,1.5088700554378514,1.6345535846868582,1.6659228086253866,1.5403667608503728,1.6029767606542358,1.7194616997298569,1.6920056654715818,1.5853498498392768,1.6638365974912914,1.5955971489009297,1.583212953620331,1.5186394058905068,1.530840179489045,1.5798991660327362,1.4985825815914038,1.485242751499032,1.5097023236040816,1.5148096866556233,1.459760393883725,1.54157644618111,1.6409388958211997,1.562274563047989,1.5179821463126533,1.5980871670512005,1.7923867039654897,1.7043299697368715,1.7182356562334387,1.792741476418717,1.8255504547837622,1.965621960148402,1.7044972469478115,1.5588928409805136,1.49593208076956,1.6931220711078658,1.6896374769768847,1.723086652719748,1.71772997427631,1.537411148004263,1.4034955978175137,1.3804284443767831,1.2558776023689286,1.3489877862759658,1.4606553305668053,1.5997528423020244,1.9764669414866107,1.6165172021317802,1.485546337151125,1.346425474201478,1.4697372285174723,1.2748553369985958,1.6967993485935926,1.383097091834134,2.1088020985894937,3.172377296484805,4.20834244171141],[1.4874021276413183,1.474353808052359,1.3986740522458685,1.5071140536959506,1.5383377769328235,1.312694133070481,1.3856926033507477,1.299045737027492,1.3636382429460718,1.444834337188289,1.4342379377730474,1.3860252958062398,1.419726598775956,1.5344712302916148,1.5514112383669725,1.5186241776921026,1.5735337030682772,1.5886273085243483,1.7484914395409394,1.638577136630318,1.7131681427192944,1.6934504984025756,1.842463597220001,1.8073546044821294,1.946481110184304,1.8361098005876069,1.6779165719803162,1.6363418001262937,1.549827916072558,1.5079234533987158,1.5305415324077436,1.5122101525571696,1.4688054244476518,1.5012008238105543,1.4969921634501708,1.5505807172291355,1.4975236993972065,1.5533412445487946,1.5491531346032674,1.5638157342100332,1.691122403292459,1.67940453435205,1.648295853930882,1.767839146584681,1.9718345208050834,2.4119469039166472,2.3798131431197245,1.9859956982880844,2.1580853973506122,2.190705563658632,2.017902964861359,2.018780892100089,1.7481429543399134,1.691108930058679,1.8851828911101325,1.6154904779829722,1.737711321014803,1.6218462071457926,1.643756626423957,1.9879257203251832,1.693874854503876,1.7217246977721754,1.687260601279876,1.9191605333118815,1.7324626174602815,1.6737399045925347,1.6885624032033177,1.62080243966813,1.7223556338560408,1.6899535560124366,1.7933588027126315,1.9488470393384691,1.7797491567452588,1.8374901944665598,1.6937252143226673,1.9880922851059903,1.6472073870282427,1.5961157299332933,1.5833629117860437,1.5623355457238541,1.5472992778596104,1.5644446524788735,1.840200623514731,1.4575220938743305,1.7082283831579612,1.5523662468210553,1.5716198735173126,1.4797342071324546,1.5649128214500028,1.5409013501279891,1.5826399294006723,1.6117205542837598,1.5940238693240953,1.5517505221552386,1.5370330226109747,1.554864411069652,1.5425010311859007,1.4577944691498779,1.4252318250705345,1.4034684988046526,1.3852234656332425,1.3736184618433138,1.339543071509032,1.3690263884265337,1.405647184043344,1.3961656959733082,1.5468501029353257,1.3546171239886262,1.3646364410820302,1.4451962204658941,1.4001049318195844,1.356993504973339,1.3580044122031738,1.4883172920820176,1.5834579449102468,1.5956853037667267,1.6717928192709584,1.7241194034957215,1.8352512431214074,1.5911763466371605,1.6938271746512465,1.6405191387752578,1.7009669260874114,1.5778092818398313,1.5359622305025487,1.4957408399528207,1.4516015455712998,1.4000833007174938,1.408850373761714,1.3973048666504146,1.445548834353188,1.423663822627407,1.4282297307684293,1.4833250313372395,1.4473368257002912,1.5293550194055094,1.4683970394855952,1.585466341592085,1.6595780394582398,1.586555117441298,1.7685286291566586,1.7885133393994566,1.7660338464004404,1.6523982047746555,1.593383508302611,1.5551143013717246,1.5339270462127912,1.4656376638780024,1.3899398151827052,1.3558060335305833,1.3307962455217694,1.2938191013728135,1.4780476047442248,1.7522534308697735,1.4290743137679178,1.3111644201425523,1.338304683485058,1.3245850276786648,1.3865696425883995,1.3526648265860937,1.433051262881695,1.4792770594417533,1.51664807957889,1.5357164148012354,1.5787552912261338,1.544310788318985,1.451351460116468,1.5696521494377542,1.6550534174249738,1.6134388430593745,1.5194663639253538,1.538193258754385,1.513817362483637,1.4765028191212972,1.4247821236111677,1.4160983938372358,1.3985005541414883,1.4909292664369298,1.399448193333882,1.5193818203020475,1.3368771487823123,1.4040148491706814,1.4241831028496412,1.4117833278499148,1.4522574349204846,1.4499942761060558,1.5177971347077774,1.573645807223674,2.055769310838085,1.5789133223002187,1.565696707164625,1.7316885616542543,1.5444367618731558,1.5330919184229161,1.4750567814523767,1.5495499674857725,1.545494309710399,1.4976772283906221,1.5090096285369083,1.434253985043691,1.4173357716087163,1.3534550784992263,1.3621612408376291,1.4741191892411538,1.4209336802472148,1.3692611616782815,1.54232297759018,1.5400966701848318,1.4651701065115623,1.457142499457698,1.603503960495118,1.6407460529468676,1.5248997887302962,1.6297948782667895,1.8396192846108403,1.82790004851231,1.988949359725075,1.9387337886535045,1.798158462224503,1.7743524179791745,1.813848662042518,2.359824063641583,2.061176606899105,2.1612143045573586,1.6516864911148,1.559975245204565,1.491469032915876,1.5391105234563824,1.6664453754239374,1.584239914520519,1.5365317079119167,1.6359825688549083,1.7977771772984972,1.6390989088971097,1.6795533325946677,1.7589136992229817,1.7466677096825642,1.7093199553010203,1.60505952722156,1.4367014143345338,1.3838413561576337,1.4065923746123163,1.353782548834592,1.4801600112637319,1.3682159497673791,1.3704470744462998,1.443665702491978,1.5365343301190102,1.3341067704978193,1.4052093532359808,1.5357108135438235,1.5533076337143745,1.4538906871348545,1.5588949791338294,1.6556856861045612,1.6168698760459885,1.5985378856497192,1.698647592828923,1.6489529474148095,1.5956948576581538,1.4858452101951976,1.5525579683333113,1.6823662315650896,1.565921701018598,1.5177262392503268,1.6665651450528385,1.6868648551395369,1.602152056616756,1.6895499598926347,1.934161671947635,1.7828267719925373,1.7281518303591554,1.8581065322834014,2.0370805245626586,1.9580362139895582,1.9384056081010872,2.1170232541895047,2.118708157281776,2.2171564249217712,1.9456778975834748,1.7761651443930742,1.6742518533413393,1.8497765057686364,1.8321344466948934,1.9145822207410736,1.8298142847746364,1.696396204663488,1.5552577315131317,1.4702502358188974,1.4389507044433794,1.3599990557121922,1.1283421037293395,1.1153255846885295,1.5982161687941052,1.215258688590695,1.094033461291711,1.1205461300920112,1.3335117357945974,1.1788893552570592,1.2015685114240298,1.2347383354819221,1.8999148459325002,3.106348096196616,3.969624743069576],[1.0684655814375115,0.9656027352773507,0.9599595163379279,0.8882547439396292,0.8729912574719019,0.8178114318378271,0.7815196147525217,0.7913152811790717,0.770100692726782,0.8218556763077879,0.8333765659264771,0.8725232720279263,0.8159221777344947,0.9452128802000939,1.0559735085782809,0.95946871718211,1.0221230102768877,1.1087030439480499,1.3270467033377789,1.1700061231692058,1.2959306754711604,1.2441809998848332,1.3971521575678474,1.4608096497391687,1.465763370282626,1.3830372064555214,1.1519358767363144,1.085335338622502,1.0152825787036694,0.9573987914422285,1.0735163826793164,0.9615430163352031,1.0747034250655607,1.0819480821964504,0.9981859018104956,1.0296352927964711,0.9444258475819574,0.9853025841191214,0.9546812259592004,0.9409540244220722,1.080628993139672,1.1377270657440368,1.1024575231198641,1.2448620557981367,1.5406258452334602,2.0329936849059917,1.9802268362035833,1.4827159211455074,1.6965743234862098,1.6783348154782483,1.4446297039234854,1.6371935198577585,1.1448051235087313,1.1351708081998406,1.5021337418860126,1.0952914019049567,1.2631401613629023,1.1305121045086832,1.1908425068410344,1.5828857485289047,1.261281570994629,1.2683611194308808,1.2458612811739362,1.5574780765479777,1.349244336001191,1.2214514930087437,1.3872455028962631,1.2418714376994804,1.44529277471081,1.350568629626233,1.5577470819285366,1.8098962666311247,1.533681196397312,1.6054717098237257,1.3032330183181176,1.8210722901525758,1.2156025871778626,1.196882581577921,1.1015591440024748,1.1023153773418477,1.0289382121783102,1.0075712175297453,1.279091495344414,0.942421422991904,1.0594740505570133,0.9502375390963349,1.0017004828187606,0.9914428496082794,1.0539807847727236,1.1053238398044625,1.1596278953625714,1.2822742586205502,1.232991270796647,1.1445097607167447,1.080932106207424,1.162815847338196,1.0993746328913485,1.0102061528203834,0.9710803273977541,1.1761275549553676,0.9838196661865444,1.0560940034704345,0.8736040749322119,0.9806754775605199,0.9783334720899429,0.9655024060071681,1.1964498481631454,0.975940371418457,0.9873511576142999,1.0779389875754193,0.9166934320544203,0.7858124255166068,0.7533172408545582,0.8272474757604988,0.9511409499482393,0.9982741961573081,1.0980039878790937,1.2049673300108292,1.3549482713364913,1.1278607022795644,1.2331923436943313,1.1391333752291033,1.164268637454119,0.9924066531905825,0.8909851804697053,0.863235515252664,0.8462043757767503,0.8202225501725382,0.8639951950949724,0.8977794327594204,0.9659976600473961,0.9837321067820379,0.9163092088091706,1.0111889574121415,0.9175695740303795,0.9967971294234235,1.018995213251904,0.9627890553107658,1.0843289448296423,1.00655885172596,1.2578511982238678,1.28304508706049,1.2056074606396576,1.0515774843582093,0.9863647984076458,0.9587991587989346,0.9113425615345445,0.8542469367465135,0.7888880863471022,0.7890443467392553,0.9442896827488486,0.9435619404819907,1.2912864656845267,1.6070690022233327,1.2086629174498529,1.0454051701961908,0.9012017920336871,0.925565666968651,0.8560861112603749,0.8132584191376442,0.8165956990560457,0.8639296082091401,0.8875766095640724,0.8941243113772497,0.9526112974246836,1.0185094024143504,0.9612268232391711,1.2069686193585167,1.3858905844096043,1.3023748884306445,1.0866594307087047,0.9112198793264912,0.8737353937220618,0.8754576234800245,0.8088599540840812,0.8679620109958531,0.8501622655575616,1.0357143653411522,0.8172259504925746,0.9858887566555762,0.909251257756211,0.8563792640923964,0.8641461062849201,0.884829951543289,0.9070666101348047,0.8582453273410656,0.8899609732808283,1.009784334677529,1.5939049161052126,1.0734780301063866,1.1521338374350918,1.2269911438587773,1.0719000143110735,1.066738865760008,1.0048832280205027,1.085709902544917,1.1122020222128606,1.0591179519609641,1.0748344783274533,1.1245691855279938,1.1424047410774398,1.117913461186239,1.0576665661675086,1.1573585112551104,1.2414541977849811,1.1699690730459695,1.1887448253682482,1.3104018325313864,1.398888010405945,1.2555027686699143,1.3786118611205742,1.5233985802582604,1.4456660032554294,1.400117929274525,1.6144561726687194,1.5743146586109074,1.79191344238195,1.6956851309864405,1.541481188194689,1.6078944634819126,1.6729763525489292,2.125777775878409,2.1553074223058473,2.490900039642335,1.6064555287015563,1.5478920569290116,1.4371408822986713,1.4388037990465707,1.463744268928814,1.3368940350941518,1.2908450392436484,1.364559208011032,1.5163357604744245,1.3193731198997356,1.3538053636363991,1.4046192507510769,1.4105961426504254,1.4321465368243087,1.2695734216936458,1.119919137446481,1.1142077215147803,1.2230068964447436,1.2914540939323507,1.5819445163250885,1.4123378917488791,1.267046031601291,1.501601252573226,1.6593179596375602,1.3186053932731823,1.4042178662127953,1.6427695377594322,1.6507086000378508,1.4767423330653273,1.6684778258930537,1.847416015209307,1.741038452831731,1.6642397134648599,1.8218577082883212,1.6880610963796057,1.6759258481977652,1.514057897590068,1.5614597613508723,1.6564454306352767,1.4562537870992296,1.418519615996726,1.5056656094590013,1.494460996504061,1.3428164882850309,1.4800390380335855,1.6187262385503758,1.4832665452994795,1.3889773573087425,1.5244197984237988,1.789499103925292,1.6597010307468318,1.6603006854683384,1.8139038716580862,1.8330179427763142,2.0208234071802114,1.66655194613492,1.4655498790767643,1.3445988087347596,1.5668604221988323,1.5423247142530885,1.6235049825508643,1.5522157304885933,1.3494616161979351,1.1120579049183896,1.0285720314131788,0.8866916998474239,0.9623409757906757,1.103761249838607,1.3865924816118664,1.766436002021958,1.1916479460710585,1.2269263533266526,1.186531410575493,1.1308537349458068,0.9150181233353771,1.5687247476394177,1.3619593123237943,2.0394506948741786,3.054394269298751,4.10632349656878],[1.5185865121663837,1.4137878131297044,1.4943191187434781,1.2459671214793837,1.2495316555762417,1.4698473897430404,1.3534599561723504,1.5101754922765702,1.3653094478278416,1.2418113406399,1.2600548216918372,1.4692025679479617,1.2992906326612217,1.1378363718032751,1.3235961850761506,1.3072427077189062,1.2350228990764198,1.2475313688373781,1.1758823492061774,1.2313507801604446,1.2040714052640724,1.2358423076226888,1.1839342854401458,1.2422371128255858,1.1846759135028742,1.1096110014513345,1.092502324477181,1.1119592068621311,1.2506221719736454,1.3437599318189717,1.4160506873868983,1.4618618098203815,1.6055844553222773,1.5296456840503865,1.4596131488801911,1.351702225076102,1.4041388158381347,1.2577142656865345,1.2383810936271324,1.2764938096639145,1.1675477238956673,1.1361909840982478,1.178704646102618,1.182071323105031,1.2983681565441016,1.7871693034250409,1.6993539668835034,1.273228371012723,1.645963066234561,1.5091410228499376,1.3805746104282839,1.6655861013131217,1.2513471440492416,1.2294794960850528,1.9602383841328794,1.425733314243796,1.4812250989642788,1.4192659130176764,1.488016265396097,1.6630353059344603,1.4000861465978833,1.3372369630587613,1.404566970499057,1.3468005691731673,1.2484205554584369,1.30970557438942,1.4091572743178988,1.3530896219330444,1.3700633501359814,1.341533517568707,1.472972232623328,1.6387554123913504,1.4850253991765356,1.5325905803927191,1.3495042984234031,1.9067422979212616,1.3515046587063433,1.4409554507957343,1.41668715622504,1.4216590058455398,1.43568968342308,1.4039612353624398,1.5649162986689575,1.5958652058194762,1.287803117504822,1.342671146680523,1.2902447899123597,1.480744191666859,1.3562455152231014,1.5039421999056004,1.417009459944247,1.558555802502155,1.5363855452633035,1.5189967151400932,1.4618646899816734,1.5253840327153283,1.4618895105468779,1.5526982916488277,1.5619022961824345,1.8340668476267452,1.633328576174223,1.7539893383654097,1.590029063081666,1.6938081196516024,1.6363033734993855,1.636959443909386,1.7419621653389206,1.671189253824168,1.6798069561909186,1.72264721796513,1.559387158995834,1.4338736623732875,1.3655838044858888,1.242405205645003,1.1539972820596145,1.0862585830277682,1.0384810382312086,0.9893348527182495,1.035380563871457,1.1849435567314062,1.0357915259075927,1.087165397070546,0.9736047964660441,1.0717108676675298,1.1400504794532662,1.1774602996930366,1.354004583651449,1.3935924724615187,1.4826828402473833,1.5547963068625539,1.5335146716388033,1.5693426026548083,1.514491599981722,1.629835936482863,1.5024848663101296,1.5309120484916547,1.5158465668273204,1.1895962828313278,1.0918531844344177,1.1014550098629798,0.9867189152747755,1.0187548307433385,1.0276212859832132,1.0548113122687677,1.12459978789704,1.2109122372069503,1.1814819642220424,1.308215274365601,1.3919347195830023,1.4378906957462039,1.6731361672599963,1.6836595987503935,1.9571255562654497,2.1439371237167406,1.8610504418666067,1.7737181105198563,1.5934670239654245,1.6547421156578925,1.5017506871967659,1.5204088443361086,1.3718282737578813,1.3182672985210913,1.2144952430870297,1.2361213816839265,1.164325471169565,1.2691877483495495,1.44493083370071,1.6805265968089913,1.8820668697241887,1.7974726792835458,1.5795345741433302,1.229495760307966,1.2987424582425402,1.4591772887280923,1.4219766081975413,1.5148318084093269,1.4768989035465674,1.6089729111458748,1.4352842232628695,1.5658840735286668,1.7104980526301012,1.5317134019350553,1.5140031505406426,1.5308069609964403,1.4949141885553663,1.4612068417199926,1.3229993721568387,1.3781751424915998,1.6155181347010585,1.3549287227526199,1.5493059043839068,1.5269261219233767,1.5471359515211045,1.549651837060755,1.5514946806197074,1.5790578783988427,1.592820010101426,1.59775827053255,1.59283958518611,1.6955134372994534,1.6864080106975805,1.6878623632862462,1.65560958629617,1.662455902815718,1.7403392418432426,1.7042935393229577,1.6474772836629152,1.7406732216566474,1.8162345505378215,1.7227798034967794,1.7627515431678846,1.8501139197577154,1.8314096678724603,1.787231137190812,1.8721623185584373,1.8475088383855276,2.0157677576015716,1.947422245059488,1.8336287063871852,1.8567617638628644,1.897337844056017,2.30018888381547,2.3864263458287787,2.778225825916764,1.9283305459013291,1.8838467983327687,1.838293613013173,1.8375035534395558,1.78503731707743,1.7724581147920784,1.7511544824886618,1.776655064949574,1.91091961869762,1.7662761946540093,1.7982658378664649,1.777560902670794,1.7382844311584496,1.8406921602222195,1.6949020696074861,1.7144919256211557,1.6932966610440632,1.7381582738288426,1.8063588314292622,2.0113321363239014,1.8999688873063203,1.782506300603832,1.9173286303460384,2.045826466980877,1.8139465464051487,1.8549145787304429,1.992368838435403,2.004646086535234,1.8858218840056336,1.9715982133834107,2.0887374822631153,2.0296446430591137,1.945963513256802,2.0277658134254914,1.961569152156584,1.9608080036119202,1.8906016751778194,1.8967585844203643,1.9312079131724802,1.8332849947376277,1.8267043841968633,1.829222923551296,1.819687951812673,1.747517685590025,1.8395149355856213,1.8746157063043838,1.8125471959565507,1.7527685035042149,1.8176482647469694,2.011682674392709,1.9115165311128668,1.9081747169214478,1.979159283165836,1.9756259471092605,2.1435436628307465,1.8907160312703866,1.7839281202816113,1.7076226084347268,1.8304640288065965,1.830528200687358,1.8509939672083908,1.8716982227177181,1.72354691912952,1.5671867691941845,1.5624693534150527,1.4149923317771986,1.5488933013829151,1.7486444488102946,1.9696417835784696,2.2571678237653945,1.9330139190671374,1.8671729208078234,1.7974677077456078,1.8083883609361726,1.579998120204041,2.094082257744519,1.8794761554982502,2.42602510778381,3.2996563569794577,4.372498665828687],[0.9150188295552599,0.7897154441118965,0.7530439241324575,0.702083828070389,0.6810104274767612,0.6417493233090117,0.6224194396112754,0.7109924145271154,0.6966227423982823,0.7340803097082645,0.8068845650267744,0.9049760686249769,0.7965083966768834,0.8133279558252587,1.022911028847897,0.9391671787228578,0.9156238971653298,1.0107282682705083,1.0847755573966746,1.0244684891507103,1.076484752382835,1.0637561416933776,1.1015699911018648,1.1758947706438028,1.136500829553798,1.0532263585450947,0.8846843344126344,0.8627873953092807,0.9372345208047084,0.9437474358220713,1.1064949538362059,0.9858232720352144,1.1747102037621007,1.1587942605356842,1.044350777551778,1.0147024215028861,0.9611092846808208,0.9072873370617993,0.8403451673800899,0.8726092411818968,0.8142958957824007,0.9099021677564644,0.9176992940358396,0.9933206388164036,1.17443278960621,1.7017424127728604,1.6294410576334324,1.1739213873471652,1.4849533503079064,1.401843736981172,1.2735341182891529,1.5271841845721672,0.9658649580808187,1.0092623723263112,1.5782693280203757,1.0718850944965912,1.209619433424924,1.1055720419828052,1.1786463130181979,1.5131698751006428,1.1950638678030494,1.1616140826394432,1.2063043248604466,1.3206940529475957,1.1452735390687092,1.1306836006626901,1.29033122461932,1.1844458453004383,1.292306074042,1.2464312543614706,1.4308284960356619,1.6892995967755455,1.4451679211563881,1.5041306150860332,1.22126941010209,1.8064865980413904,1.154888995307818,1.2098782256430385,1.1155485383050785,1.1156932222972908,1.0430368631851459,0.9787497477018858,1.2150765367578549,1.0179608394964388,0.98145766866511,0.9258489285950369,0.9360955807929934,1.0378763811954543,1.0389913486241678,1.165569649387867,1.1748851466160208,1.3449411471529265,1.311222569247231,1.2183674438008365,1.1315214038476542,1.2400832448290129,1.1438960597061472,1.0878568188339897,1.0187511520602919,1.1766609279167473,1.005080801188135,0.9809326858980996,0.8709502791110384,0.9049843464243484,0.9140802172791808,0.846664685157609,1.039428891629848,0.7807958074022208,0.7927887351209045,0.9123351338639825,0.7773406762445805,0.6693110939131087,0.6387294106731111,0.6619173051104374,0.7469731603389606,0.7124573661854923,0.7864602808722091,0.7691467101295274,0.9140512002961446,0.9727690186677153,0.8819920342680134,0.8644044748500109,0.7438180090605152,0.7217549564415687,0.6516847994163424,0.6122164441192895,0.6664368038657126,0.6454296265731894,0.6805314138868725,0.7132725854118562,0.7079917580392782,0.7499339495428117,0.6897415053609448,0.8516414372032428,0.701094431355716,0.7354309928132494,0.9173098998457158,0.6509161385303924,0.6940539465719499,0.6759726546762399,0.8294350421372856,0.847711334948264,0.8050582076866244,0.7156872277567544,0.728825034978432,0.7943261688784613,0.7167766501474142,0.7702768543143942,0.73786492826666,0.7500977162332587,0.8400734990863378,0.8639077512864165,1.1639739309325023,1.5268931901298783,1.1601784044316603,0.9697938503433879,0.8928165438521558,0.8693588566068013,0.8588228318075473,0.7715773226371174,0.7246778306650015,0.7548005959252769,0.6824121516022562,0.7486021027617573,0.6482856837121052,0.7498744121227513,0.7590581972991765,1.0036576160326787,1.1720435565915726,1.1398396198482232,0.8774614551479578,0.6387887409274664,0.6890497303585982,0.7679374853587743,0.76695793757544,0.8292437739537165,0.8512095310038936,1.0035598667200305,0.7981946298537793,0.9195953512247226,0.9149787547021554,0.75319251398402,0.7366746555011408,0.76623129212507,0.7763066182501402,0.8259184992761887,0.7995264825122619,0.9032778401373944,1.402837704495326,0.9911980586968765,1.0137648239735955,0.9416482425798361,0.855832134459891,0.8337484011154719,0.71710295599021,0.7568165945534604,0.8319565361307217,0.749350750727503,0.7662072337835928,0.7775876673062779,0.794612875478619,0.7834186223440452,0.721779772689996,0.814299334191316,0.8719115293196231,0.8212479808810859,0.9011472258484647,0.9673425974101697,0.9908063790938731,0.9192450802432188,1.043276677582079,1.14544190345927,1.0628305429030556,1.1191309052080276,1.3105350695901243,1.2546998540543006,1.4924831279165942,1.3719377053075796,1.1979481607276736,1.2451681767833116,1.2945552006161243,2.136975890334431,1.5533830043003587,1.8885232071133542,1.115788311957044,1.1161470698528995,1.0969249992964054,1.1016290148023742,1.0955130966012399,0.9933846612631011,1.0042305296196752,1.0181216383266756,1.172887696921148,1.0044676185395076,1.0958456950744697,1.0805191924593267,1.1053822007727083,1.131979459663207,0.9558567076674815,0.806017175280436,0.835637088887057,0.9560391910307872,0.995981723406731,1.2578780656978172,1.0903432822772776,0.9941753388466782,1.1259709046153534,1.3202741674013023,1.0602837026828242,1.0263403393317283,1.237793807942863,1.2626611918540476,1.070947554792434,1.2273512629818277,1.3734652563842127,1.259782197748773,1.1912316079972298,1.293586503057883,1.1925425879562372,1.1767268098435797,1.067057504388408,1.1025651270328347,1.190642717590363,1.0290331692602979,0.9634395011709289,1.0793378538832263,1.0927300418867787,0.975764734995017,1.0565981079570332,1.261898594593234,1.1363911364054038,1.049492896834439,1.184368656497213,1.4440330822638487,1.314056830264467,1.3077391082570713,1.4243470118457715,1.4530824450504882,1.682764038775319,1.3410879264227273,1.1566669843752888,1.0437976780585447,1.2706877614023546,1.2208073388985434,1.2675009779430209,1.1850664823423325,1.0163885104749781,0.8425895247192018,0.7344961868382486,0.677533170689309,0.7159459105988322,0.7279829740599484,0.9431141562637604,1.404591814862229,0.9003773916369376,0.8809331018315271,0.9319208180764372,0.9369146495889177,0.71765901553541,1.204798810854278,1.070782794595185,1.7272548546680042,2.838326860190717,3.911421377126974],[1.1025468128829456,1.100109437833878,1.1047289341471993,1.2296938765195555,1.3153196249515062,1.1112048357199449,1.219544970061025,1.1278565424957112,1.2222680699461805,1.3663811668031425,1.3844020937182249,1.292754289301119,1.3641133825019267,1.517152645642941,1.5739778336725982,1.4940768613003121,1.5679968355787028,1.6420869994766671,1.8308300518100111,1.7095076305243255,1.807342508971862,1.781634254205422,1.8557643716799834,1.9206282388724711,1.9677437118904888,1.9006544826396359,1.729847225249544,1.6592067471184342,1.5813372582766154,1.4892971825976034,1.5574330135681853,1.3998320725257558,1.455331360838547,1.4967321311355626,1.4817554228694356,1.553888414017176,1.4539871128906283,1.563661221784862,1.5472273814867905,1.5528787541668847,1.645246062796109,1.7086267689003711,1.6843092894975358,1.782149752791924,1.996823283004863,2.390233395764288,2.3687975048389873,1.9802907316227465,2.05675976708016,2.04974609052891,1.9892676192879202,2.0794232938758395,1.8094334741150402,1.8099975021989352,1.9785950778423333,1.6582733502329083,1.7763666714345212,1.6881795714288224,1.6957250537947186,2.0137646684802877,1.7376274808285699,1.8129003078794483,1.730280449628287,2.1386977662906466,1.912513484717387,1.7707491471162637,1.8601957892222192,1.7216749248729908,1.8930106686687524,1.8226455869776934,2.000134468037386,2.1803877539445766,1.9531200231272758,1.990900663740143,1.7810508587099936,2.2073709054207744,1.7143391231611875,1.6665135973997083,1.5847778187971755,1.6032413890589101,1.5488089398772642,1.533781986350669,1.723174319503221,1.4165609379159265,1.6713514058627013,1.5193285260428813,1.5713165168156853,1.4745052763414244,1.5774924459862918,1.5370187367808423,1.6412834834967118,1.7145314086102497,1.6301101662584292,1.538878882346232,1.5132863861717543,1.5575871175015656,1.5453193003460428,1.4025080640841028,1.347191163597472,1.3124880739042866,1.2944551552425396,1.1947308123195512,1.221879927792993,1.1996040600174096,1.2684335526689725,1.201731437595931,1.3768589274437586,1.087793667437233,1.068151110957603,1.2118219977280644,1.1547173659412426,1.2044314965132252,1.2178929931297842,1.3757677478770982,1.5345718951317604,1.5467942832379002,1.6588639406837549,1.702228388237333,1.7820024608196678,1.646789564190795,1.7317889432277969,1.6731669154915936,1.6665163150093507,1.5397629858510435,1.4412509087366918,1.3679480284068133,1.2462371579542997,1.201151383086079,1.1702598124881753,1.1441922631832622,1.1489763254829335,1.196755747342704,1.1602305763847949,1.2645835968769525,1.170559443577015,1.1663904259518583,1.349173697255037,1.4402836686924625,1.5867543956409562,1.5087413934389982,1.7713696588257635,1.7594482119479078,1.7059242406454824,1.6137974849336014,1.5587275127390676,1.5193996634713318,1.4753591842617366,1.4115478461646318,1.2898510753505694,1.254721214295679,1.122428824134631,1.1135792741332058,1.2966182969060975,1.6375987504832612,1.308878579933711,1.1799649032246877,1.2139878556678367,1.1742801870668873,1.2890533719066157,1.223995022653054,1.3385292495489072,1.3922347190486515,1.4257409448304366,1.464109076825672,1.5226856614391926,1.459171535364415,1.26515863442634,1.2687836100764867,1.252912390037378,1.2685408545456276,1.2278726066889574,1.3706516457084104,1.4161179398704022,1.3057697830784618,1.293747520950583,1.2660470210780699,1.2993891139936509,1.3646623502605622,1.3106020284253015,1.3327507902863867,1.1927979143083767,1.2199561903044598,1.236120940714855,1.2401518533548432,1.281369781045837,1.3489397529638312,1.4337899568117585,1.5234126128187484,1.8888869452246557,1.5859363779332631,1.4769249758948646,1.4203438372880928,1.2651676445081492,1.25806744884396,1.1779237440192878,1.1507991450893327,1.2020336414243247,1.1022008711235527,1.103221051336252,1.0900021145908285,1.049197717697717,1.0365224371272668,1.0251483343764947,1.0723583452511436,1.0699354070447555,1.0497686766149983,1.1465301728626633,1.1197802504453989,1.1161351103804074,1.0848492615962513,1.162832730730007,1.224352038366499,1.1617097085999646,1.1987646779402081,1.3454664960096507,1.3494903972846082,1.4944266224994252,1.4764427162766198,1.2834018295792737,1.2988906299716207,1.3760935245522428,2.0408374782067695,1.69360356850678,2.053206571925465,1.2280255416996302,1.2411906425342696,1.232628795473871,1.247787975624877,1.2159696723939328,1.1220970861990456,1.1669568840403863,1.1695825453257636,1.2830341825173064,1.1964686701876424,1.3123352282397878,1.3108153765445263,1.3557548517485296,1.3937462138036825,1.2417827806409136,1.0968113979543692,1.0822187354831876,1.1251320407063465,1.1712868398703846,1.4181371198274024,1.2780078232920828,1.2037235128982895,1.2755439818481191,1.4692227706250136,1.2492622089355887,1.191758141820339,1.362324101008077,1.3909621637138527,1.2097370399159542,1.3253571377476752,1.4543668932488152,1.3503697148260634,1.2685254820678964,1.3808163520087466,1.2780277516472256,1.2729050688492625,1.177123051414343,1.2084467183656686,1.2808024747633753,1.1480890135447162,1.1043700526341729,1.1821384225616864,1.1932501973262728,1.1342873276000065,1.194077647724928,1.3715236740924657,1.2948740576155477,1.236455668534212,1.333509818009017,1.5778864712494276,1.4835050497024649,1.5041083671992768,1.6233644147912076,1.6707106178463047,1.8552761765132586,1.5204795463439416,1.3272189864845638,1.2444628509718876,1.4731914908307675,1.4238420218712635,1.4650670386084759,1.3731504739796112,1.25510373974413,1.201772375068056,1.1111158690738403,1.1920160699003337,1.1041182673134833,1.0676772078595282,1.2041512394081353,1.5678423065233251,1.0453700789366818,1.127267173167996,1.133361026398531,1.074667105704632,1.074585207149351,1.4055043014171131,1.2240644742070568,1.796394584843097,2.8338693982708305,3.907152764057299],[1.6377829402302813,1.4934754634245706,1.5580957401339608,1.199187962875662,1.136780786846221,1.2703962139758689,1.0798836197246415,1.1679364351669137,0.9785351699171451,0.9229960555455701,0.9206054250488741,1.0042258873087286,0.9263712221416973,0.9811590625619608,1.0996505169761355,1.0175879449964216,1.045806671576212,1.1463474249509322,1.3251482024575971,1.2041312093834144,1.3140489626146956,1.2783304121161554,1.3706684602875092,1.4735300089343843,1.420627607932241,1.364526996065593,1.1505527673665632,1.0835270125745124,1.0436248331567775,1.0089197317321117,1.1469546954921512,1.046419445146074,1.170968498750588,1.133642514128034,1.1024376631852733,1.0925157948261297,1.0367229044425679,1.03166921050805,1.0217459615393187,1.0294919080992717,1.0966723384752368,1.1425293118494186,1.1355521455216813,1.182897021162118,1.4839532231744583,1.9666671246657599,1.9015228874011896,1.3542612925994963,1.5743550662311518,1.4196466050751615,1.3572656075371734,1.5944250473604988,1.2781124522697214,1.23896476825361,1.7654198909778553,1.200825832051012,1.318248056265007,1.265050770528197,1.2627262788040259,1.4919631279964747,1.2420464079692821,1.3742466096286314,1.3205397465212043,1.7198605535286975,1.4592094420316686,1.3064461962600797,1.4778772231083823,1.3023661354582614,1.5298260738812304,1.4300703820344582,1.6634526738988096,1.9400309887141725,1.681059231612815,1.7086590325944633,1.4028224396937163,1.946376943849898,1.3128949578430882,1.2981261148088283,1.1847315701674657,1.1580034813083122,1.1201708223765812,1.1005623188297886,1.3320279547417657,1.2163157043160002,1.0905749466724683,1.0186481702322805,1.0557425135649956,1.0820359962845403,1.1117778554147462,1.1675888425680323,1.2338762036195539,1.4000093699427194,1.3036810039655768,1.2032688780133276,1.1396899541320893,1.2278958226625694,1.184379911660369,1.1175279328495153,1.104610796665553,1.3719504447769286,1.167689123543559,1.3516071022783094,1.1341716369992179,1.3266827572602617,1.3596073247847804,1.3803345807196763,1.579012217363321,1.5112726277733204,1.543015973874073,1.5027526071227335,1.3715099809211084,1.1706022065828128,1.0713948167196892,1.0125808260778144,1.0161550747318853,1.0091481023567819,1.0724239192173721,1.1373913627379317,1.2979872621076962,1.1682635677541566,1.2328895215038578,1.1414751630970672,1.0812661092648386,0.9904359730894277,0.9658239797541661,0.968094917110708,1.1738420719380618,1.1493388366060113,1.2690462441045665,1.3142223754806348,1.3580536243161634,1.455570117852715,1.3177390124914223,1.4137811254831039,1.2433993707070095,1.1976909510137717,1.3908610193136306,1.0575705081291755,1.0630278759309864,0.9975435445751017,1.1602286166647746,1.146473713178567,1.1270642642305015,1.0446452911557338,1.0275089768453234,1.015846443408345,0.9771485073973694,1.0048589875974363,1.0339022658417476,1.0539481334426628,1.316550363710793,1.2805371461751753,1.6430481023832582,1.9363356661693105,1.4712521994200294,1.3392011423968675,1.1475699940973523,1.2657675155639818,1.0862634022203888,1.1507254534225309,1.074872714972305,1.0088541432379097,0.9672161361059346,0.9806974324134098,1.0657134925065075,1.1198118647069057,1.140907081386379,1.3250076143738128,1.5204886597210623,1.4296246505050276,1.243000747203672,1.018653739518826,1.1071109798418812,1.1159581938318333,1.049353493185569,1.1266292645228575,1.05810985309153,1.2099429390792984,1.0621766656448108,1.178129903210676,1.2522100183486586,1.2071766661701402,1.2245543143681525,1.2368188629750256,1.1713472913479597,1.114324048966895,1.0338864866916553,1.1183230006573004,1.442012456975748,1.1651987848398628,1.3291415764275658,1.2829972463597779,1.2819726666302336,1.34383255630317,1.3794130150427306,1.4183926430690588,1.4601888556924734,1.5166471222846178,1.5679816114727947,1.6559768853008858,1.8105557090169428,1.8104025898943112,1.6633761363079749,1.7795243911047678,1.9922382724987493,1.8857826315017754,1.7391065413672508,2.0036277204205164,2.1747734036028357,1.9467566414100315,2.038263897044741,2.2793764813706168,2.1976210957684583,2.022826758285944,2.280075139461498,2.1674292790046725,2.5169653222373687,2.281775253689352,2.207430770063173,2.375997106782133,2.441118570623234,2.7303634301533823,2.930541362980591,3.343831539537155,2.4321392544132334,2.3671619620379576,2.2188588206394457,2.2275567792568536,2.189940553273359,2.0578580382822156,1.9950421707342751,2.0393257400573757,2.117755035830292,1.9027826252861004,1.8898975471109078,1.9359670138040728,1.8797367924254638,1.8251519819480846,1.768019818280802,1.7410823893193472,1.851078133086753,1.999650475482105,2.0506000528574657,2.340421781165733,2.1219751022050937,1.9977068697514258,2.2810991735625246,2.374382102589862,2.0376133351200894,2.1669240069052917,2.4026482777341545,2.3747241839279787,2.235715616513046,2.4789792634229326,2.631207585423699,2.5041907291525654,2.4985022684982403,2.6904505397513967,2.5350042942505997,2.5285995390599045,2.3362151635186907,2.3993028231065443,2.4946512377320316,2.2435137789888224,2.2079575797810733,2.282238070337837,2.2399112912540713,2.0250173366906044,2.1967409864198078,2.240521167833788,2.0595715834758574,1.9548824395353201,2.0934128639661127,2.2284428028840737,2.0893673970491777,2.043551160899257,2.103275886934826,2.0522132218180897,2.327027165936219,2.030609029993826,1.9382142427018636,1.8007418309549006,1.8286853057633157,1.8100520374191056,1.8536857708878764,1.822144471270394,1.7566104515706165,1.498698841469416,1.4839432126777456,1.3005425523414982,1.5009067118339352,1.8156775952107929,2.170458332735536,2.251840246520625,1.8149792755873313,2.051811211931187,2.031449928580882,1.6610762070458385,1.6414517025430042,2.396608486414029,2.252137919540167,2.6456729782670827,3.3573793373741423,4.420023531353506],[0.925540390669155,0.8400363047217497,0.9883318950580456,0.740271744942298,0.6942240045380548,0.8346556764673918,0.6815394550942553,0.782804714544451,0.6522796226123728,0.5939460685528901,0.6275906712171885,0.7929991918706796,0.6437734346776728,0.5930670257221023,0.8074841111470119,0.7406522809941951,0.6857400145893359,0.7746237416631604,0.8424530252523216,0.8001330802381662,0.8409013291277829,0.8374850297289225,0.8968402265446492,0.9596917480675635,0.9347348847492368,0.8411468948703625,0.6643651811445738,0.6416082377479391,0.7190827078995952,0.74381011894838,0.8724211670040846,0.8321479519876641,1.0153959643083155,0.959484316531898,0.8801318050098835,0.8120430178754406,0.7995874466509615,0.7123487707000393,0.6548390134336582,0.7094707752634745,0.6833006909593419,0.6885566884091687,0.700891185330806,0.770274006580173,1.0173519364387886,1.5820874720829439,1.4635212114230682,0.9545517705549603,1.2942698002381114,1.1399586170810596,1.106452412893158,1.365747750354918,0.8639288887681921,0.862594177229741,1.6011605830567754,0.9222870697402684,1.0273101873045718,0.9801902705286969,1.0395344812767155,1.2650130774167274,0.9369198032176148,1.00220868175541,1.0133370697020692,1.2582038478822983,0.9782208036930331,0.9280640048241825,1.0692467873335225,0.9328692974438175,1.0546151229656826,1.0072637490603389,1.2037765937126095,1.4780065444802786,1.236291780760756,1.2671887463698162,1.0035710083606708,1.6555121464752145,0.9653072293622464,1.0068950868749045,0.9214283103057708,0.89793927277167,0.8871121913753837,0.8483714080038238,1.149336345372325,0.9762840593594762,0.7832732913870764,0.765662151529177,0.7608438754091646,0.8734302500616539,0.8319469652342232,0.9776924664255596,0.9584016914806425,1.1310593898212635,1.0631337265799796,1.0008998767097126,0.9103564050789068,1.0272142794873156,0.9249524122144125,0.9325169211299023,0.8953821468687014,1.1297518720082043,0.929953836616949,1.0310061745630341,0.8622093756850162,0.9937153049346817,1.035454593318144,0.9796099609100882,1.175151225114124,1.0171263403484938,1.0450324477942787,1.0703536307214516,0.912284014894886,0.7701368103950277,0.6927199231843559,0.6360121960856474,0.6237962404313092,0.5513941235505555,0.5833159640153059,0.5515880040695462,0.6966183913847789,0.7069839952562326,0.6548906221963192,0.6203476642296646,0.5322791902482877,0.529358942450965,0.5684580726177306,0.5875548784791966,0.75652179704752,0.7577359479326014,0.8331489064569934,0.894320665227675,0.9132455899037291,0.985414751431467,0.8881651699278876,1.0011798229827162,0.8697314281950251,0.8580019922289219,1.067083069074366,0.6663620852818698,0.6256072246645222,0.5572069557798018,0.6275182592906237,0.6578301813384568,0.6132262374557352,0.5424971569866313,0.5775414545812887,0.6334758880090172,0.581459647955132,0.6778080007519479,0.7070320392014523,0.724928462633584,0.9365302208639685,0.9274484807022865,1.2616191005749033,1.5766503628023614,1.146700982725097,1.0157975194535016,0.8710849604391988,0.9268353641211018,0.8132176170052731,0.8359562051243987,0.7182911596616169,0.6819442575813575,0.5895057191034668,0.6291325901917195,0.6553845731008692,0.7356219842182167,0.8212744648200074,1.0634131660702566,1.3210439064526456,1.248567711208006,0.9976285691274636,0.6536859503065803,0.7084954578128257,0.784565996390107,0.7422337017335349,0.842028135859203,0.8065561925983601,1.0449353771075844,0.7762410313975782,0.9157452295967082,0.9836226096198586,0.8530901208192044,0.8455887790063737,0.8665147518454356,0.8361298962211001,0.8059639871342124,0.7089032783412225,0.8261389739284172,1.2010754938492612,0.8703548498864229,1.0851250787639481,1.0132249213149795,0.9947003905114621,1.0005421357559134,0.9391615363700209,0.9745533151256497,1.0254099860333337,1.0063082800657925,1.0218607376801685,1.0767754400969964,1.1471164103979885,1.1408289882199332,1.056515017741479,1.1535429436992855,1.2758553572032405,1.2061931438287516,1.1614056578319925,1.3287680816844978,1.4085763710690922,1.28390596355559,1.3953163652423557,1.5350332816352432,1.4570490180136384,1.4274733405673634,1.6227635480908205,1.567305419214674,1.787463085129043,1.6578239813160023,1.525905084477627,1.5980770632802497,1.6341429145586917,2.1382531052566573,2.032478821036207,2.5221197903554726,1.5972050034975487,1.5693821442652682,1.4965225693685729,1.5247226608443314,1.4390328448691936,1.3558366122607406,1.3243062298385013,1.3601365666062395,1.4792871555853127,1.282441490113343,1.3527497662596697,1.324075620702666,1.3133585227044702,1.3319359554305386,1.1882533883836313,1.1185757107033338,1.186824739669096,1.308923952626666,1.3740424061847842,1.6443542619024816,1.4601386994332939,1.3460667310491017,1.532115274818301,1.6550209847818849,1.385296027548138,1.431500995237157,1.6107883917324206,1.60241014731237,1.4818046049827824,1.635410392116595,1.750050678112364,1.66086642720584,1.6250223702354532,1.7450074850664563,1.6579019438184899,1.6383467898092967,1.5149721727769163,1.5487754120454347,1.620605632695048,1.4501191860382188,1.416078258934557,1.480668631147282,1.4758644136202292,1.3339959011731022,1.4410762928660452,1.546577178723506,1.4292335507508374,1.314568850091095,1.4412517928801052,1.6415160347969369,1.5258648031534343,1.528846441135754,1.5951720532224283,1.6005582698579384,1.8640392084183592,1.562370849035182,1.4194728865088306,1.3021857771193894,1.453723781671091,1.4069810801444629,1.449112392967472,1.4124228619628447,1.2311372784254753,1.036522314227306,0.9805171273379595,0.8385133663292607,0.9470374321747459,1.2125437689773095,1.5498761826667624,1.7138141488687175,1.2724289955861365,1.4461849875951152,1.4526688132493373,1.1635938953235971,1.0854305863481348,1.8298409523034533,1.6411000485511607,2.1725853391227274,3.0905609394517346,4.393800163728478],[0.77687190789274,0.6515864240904885,0.7653901177092821,0.6641436725039277,0.580326442621551,0.6585223677944484,0.5376159212524834,0.5952907623922704,0.5559373333045955,0.578637090514563,0.6234318730034192,0.6996071772435685,0.629698641539649,0.6702248711368751,0.9123604276802446,0.8081825679359098,0.7928909600374824,0.9259226596042044,1.0311839386769865,0.9640523252528419,1.044393468670162,1.0286393217394096,1.1091434285600523,1.1812375183581825,1.0481422391969148,1.0063168578153137,0.8303127559463789,0.7871095664512988,0.8347981172395453,0.7983914564133888,0.984105150565638,0.8428330348773934,1.0436787366014055,1.0365500323285497,0.9376965734622633,0.9083824877447286,0.8245415455778444,0.8201190860236258,0.744246166616152,0.7642843048292303,0.8205197314203336,0.8514954884071804,0.8703372010543943,0.941130763062519,1.129504974963665,1.6153579068511665,1.4846900126639275,1.1086428595224518,1.4204091621835262,1.2479317783190462,1.2366546593337264,1.5504081379472114,0.9601440198638971,0.9925407739100011,1.6674688283906225,1.045281602359707,1.1266930081238118,1.124788683482482,1.1798385779066691,1.3578974726963458,1.0918360089078873,1.1913108880629006,1.1900226009529395,1.4851814460888775,1.1709487204618703,1.123897405428595,1.2599466798092058,1.1120096342819998,1.253468732915024,1.1971282987195473,1.3983163841592587,1.7034068617643958,1.4471231911211089,1.4837862127008048,1.201304156309918,1.8481021352330549,1.14984601878643,1.1580674979868082,1.0422973237228912,1.0306352735894342,0.9659644224012482,0.9148980839019573,1.1725177843916,0.9197703858711527,0.8508442840374452,0.8209209737492683,0.8481136408871142,0.9125866253226484,0.9454256745268005,1.073204084826157,1.1027007331766887,1.2519713840923925,1.2008787294831267,1.1036532163770925,0.9953918968136938,1.103339462203692,1.0074412172357698,0.9327417852532938,0.8340268152778606,0.997526334648219,0.8453015020796817,0.8371260036393482,0.7282433324770348,0.787342029437937,0.8560707096180294,0.7517147328365046,0.9300617974274985,0.7322395715340226,0.7801834410940667,0.8333931763855978,0.6797058124659978,0.5876899028933801,0.5437151474030673,0.5477949731705762,0.6204828362742018,0.6021892698746967,0.71726165457029,0.7100739422153174,0.9046597281158218,0.9043127316411432,0.8436887439233749,0.7881387393837771,0.6579022720420481,0.6027832663641298,0.5821822258728915,0.5558695291213402,0.6233975815971539,0.5974087063128476,0.6142104855048334,0.6565737279525774,0.6809599880352613,0.7216019316276885,0.6467319946436147,0.7880788345722555,0.6585036107971939,0.6658956828610544,0.9027138602909247,0.5866297380434558,0.6349182032446536,0.5669878064590306,0.7256224056177333,0.7850764111920813,0.7481070869333633,0.6394985174004689,0.6639855397540271,0.6894393007875034,0.6039189210775293,0.632317868125262,0.5804317212735197,0.5862966543699896,0.6944652237239569,0.7157097649566304,1.087946011217572,1.4674559830186729,0.9932882201813709,0.8418986156871205,0.7322670835128577,0.7241224739062452,0.7049374118822634,0.682097321931177,0.5992965251187073,0.6334753210608213,0.5876569903972303,0.620888803793841,0.6526177750114891,0.7014813661283048,0.6884763436696917,0.8900842334529818,1.1017751497247688,1.0800683148980497,0.8273338241661825,0.5496775413512422,0.6078773693971004,0.636693513519185,0.6301338047231289,0.7066495887178975,0.7168855664177352,0.9399386509215153,0.6923481210746635,0.7608434829963967,0.7763592877763225,0.6631117379584115,0.6443864215925015,0.6704609677147002,0.6848438290465119,0.7258821261627713,0.667583988447684,0.8204018365550262,1.2489611761607047,0.9107964066757589,1.0222604874610715,0.9486786753673745,0.8375222625078274,0.8030844964900086,0.6901105102403182,0.7709891851562183,0.8657680442015109,0.7600745062081697,0.7850195733460054,0.7975811550589443,0.8655460017901629,0.8664651337791888,0.7833696362857901,0.9006784658914994,1.0054430503697958,0.9462194813018489,0.9449017873535566,1.0856575960582484,1.156621348112595,1.06357362183941,1.2017970552330508,1.3287472146411703,1.2447225149793608,1.277061712540469,1.4633110501775446,1.3914402177911818,1.6142414359312625,1.4521491418410035,1.3192873693493015,1.3896010710781899,1.406446490323548,2.1269334605895565,1.7457612600008323,2.2374690676347395,1.3154160012133567,1.3116760261350944,1.2538750871121966,1.2918777328559234,1.1926493757009964,1.1071135667369743,1.0822721443188341,1.1051958101277009,1.2338526170575843,1.0280197328437146,1.1687501903010955,1.0447366117607348,1.0339520615935462,1.092294593540497,0.9233934376573517,0.8418207080436965,0.927527717635374,1.0683891156994632,1.1333539888310384,1.3865304916482155,1.2391931608104207,1.1110563733814507,1.2789881981310005,1.447445364639277,1.1718161629740902,1.166077637611166,1.3586576196237559,1.3540865819787302,1.2255871976952362,1.3982763862778633,1.5391541252441379,1.4157094868490299,1.389069781713711,1.5087384186963524,1.4141883981432155,1.383404747218642,1.2577287720131978,1.2818031652365693,1.363417245223449,1.1947906287299055,1.146432360203278,1.224466421775797,1.2288378138552079,1.0803509232656587,1.180185946369203,1.300087933848395,1.2004308865906472,1.063908003107656,1.1816038612084108,1.4246634639098226,1.3235579079729767,1.3402672183890447,1.4059635710687446,1.4709062834190754,1.6853730195619956,1.4047062717476482,1.2422367624034432,1.135603991431454,1.321540976457156,1.2584021507139225,1.2942706617331006,1.2442332162313459,1.0243189466389373,0.8317596933936369,0.7497626228347147,0.649537802779317,0.7068372118028151,0.9305693112862593,1.2798444709880528,1.5124538326702779,0.9935771837665087,1.2066830852980617,1.3041179948691008,0.9518087144595864,0.8839536810451581,1.6538918770963245,1.5546084127088875,2.24980597566404,3.2844058054663,4.711057840645635],[0.6895140885772559,0.5552852705389697,0.6435513629308238,0.5254051552192037,0.4682275740506579,0.5474168955199868,0.4212094685252371,0.4908157485060494,0.4525760006247977,0.4756057585781674,0.540813204373154,0.6453392714171818,0.5723748876916465,0.5743380432106389,0.8701006328217105,0.7870184111567455,0.73498388139458,0.8709695333404667,0.9846124284495397,0.9157720765996896,1.0031647094783063,0.996138015575359,1.0673662276172449,1.1544490621334054,0.9954760483253727,0.960998197463697,0.79090494104884,0.726322206382614,0.7905475111568645,0.775803987025119,0.9533487930981959,0.8354579717591757,1.0466450780524534,1.0448219151313909,0.9360686001981882,0.8865643980476743,0.8265809683541782,0.8049004703272268,0.7200844632014233,0.7661492840848909,0.7877212776033033,0.8453340638751594,0.8678782350261773,0.9184824165104065,1.0958253560464029,1.5748074886593924,1.4419610572411703,1.099036083647393,1.4002172346012083,1.209558426539273,1.266128473617326,1.567444815885975,1.0163830734375048,1.0367533156259385,1.6727748762247658,1.049690846383216,1.1196298780680083,1.1281037928062583,1.1685668432894425,1.354448305937537,1.0730810529968122,1.183003771027539,1.1824050551703924,1.4998069468867588,1.1718368772938117,1.1055723190166173,1.2206059301354475,1.0739243044987887,1.1857727421659152,1.1414457633413062,1.332663097558665,1.659348908170415,1.3860780765194558,1.4479646120362188,1.1695329470173548,1.8449942794346064,1.1419895138388467,1.1597701019386883,1.0446841118681411,1.033780344391705,0.9861253812251409,0.9298402797715408,1.1990700166985042,0.8717742988103592,0.8938043045800459,0.831171315937842,0.8478820413368638,0.9173172502537914,0.9347309460519677,1.089220306112572,1.10025747643394,1.2468546158889302,1.1895231894070635,1.102864250450128,0.9798756040405342,1.0835837794192782,0.9824866591154219,0.9137127809376535,0.8183013378019738,0.971186147501223,0.8237093701998226,0.7896760606239673,0.6990355460667615,0.7243175611450146,0.7931619637810754,0.6637347218507987,0.8901783279378911,0.6235140791660874,0.6766743016316641,0.7788279549073032,0.5881090137763854,0.48345475015195344,0.4423965558291253,0.44808475904908923,0.5505948502295058,0.509825392238293,0.6406027903165368,0.5922235846264591,0.8195913879050906,0.8066657992826701,0.7230476838723099,0.6760518141107745,0.5371855164431212,0.47594628629104435,0.45867700352112595,0.4357607328754952,0.5333119143979519,0.5054567943041867,0.5043002133906447,0.5586142286391812,0.5797559442399763,0.6248734537096321,0.53247251997739,0.7091451395061245,0.5384952052348692,0.5460440856488747,0.7613192163580493,0.481617223859076,0.5466748093594588,0.45837546590747935,0.6184406723095319,0.7020715081114107,0.6665348264504392,0.5579788973495742,0.5949714288034955,0.6359816923711394,0.5304792701117692,0.5698675059050441,0.5094025725639025,0.5085325590821829,0.6051455888812597,0.6337026817830476,1.004330446436454,1.4814727342507104,0.983658830625808,0.7894007312533071,0.6690398185034666,0.6548447036572758,0.66682666376937,0.5971239564989113,0.5253169992187828,0.5895671103234834,0.5121518496639348,0.5924950872342504,0.6176514577360798,0.5896941139589696,0.5523937154251437,0.7543239629109411,0.9620378681655504,0.9591268505628817,0.7105425471581056,0.44974978280183614,0.5301768219554696,0.534453818654636,0.5686210867641258,0.6452716118497309,0.6743898433021415,0.9204832107007904,0.6633422633978263,0.7167674945597834,0.6610781492455813,0.5641799065568607,0.5492185116039248,0.5548858373881999,0.5893445884602401,0.6334766086951183,0.6109622631486513,0.8020637223501684,1.2213253053704505,0.8287418586936983,0.9686018085243869,0.8652598608347758,0.6957454884035038,0.6666671075339139,0.5731656779469857,0.6741018189863335,0.7639757910485415,0.653973989002767,0.6704919729645452,0.685817677473997,0.7324075703698345,0.7632918621999831,0.6710314236735615,0.7743900453093046,0.8770471326784325,0.8365559193120367,0.8504689708763248,0.9537809864325775,1.0296186280547266,0.9582832435409137,1.0801734682148945,1.2045896672169274,1.1409897316189463,1.1888710372697,1.3533543995801103,1.2771720490638827,1.5130692872230163,1.3094763977942674,1.1796001787804042,1.2452057972276407,1.2436461768754214,2.1123607404176745,1.553261974121634,2.089048835491474,1.1494308124322101,1.1725370555776005,1.124405576895185,1.1703771224620432,1.0660508821817982,0.9847172200955381,0.9836738120846253,0.9794143911871467,1.0998474395781737,0.8972702479920607,1.0848543816565832,0.9067788692664972,0.9017003485869962,0.9889993006942287,0.7985534621558839,0.7268605429986653,0.8301091279920038,0.9925202016547434,1.0724488415077085,1.3031693684264571,1.175666784629525,1.0273980391339863,1.1572074214492258,1.3420085624168194,1.1003944319978336,1.0425504161422805,1.216163645700854,1.2211214032307427,1.0976361301380897,1.2574417965058473,1.396568326953715,1.27520374490929,1.2590951798572183,1.351394773828181,1.2679830497137334,1.2311177579157462,1.120453409490822,1.1268972371876023,1.2125209565247081,1.0575344717247053,1.0093035009257996,1.0688330985618526,1.072140733310767,0.9384680099665647,1.0290117653091833,1.1365711402238214,1.0547796133764842,0.9208521374270373,1.0066394324944286,1.2553889680327401,1.1718140340022694,1.1862738427494577,1.2497550372334647,1.3512549833084904,1.5578436205805322,1.2478511841664246,1.1093111105598796,1.0054779497229054,1.141146603020025,1.093628005566344,1.1224768383963426,1.0881248336709226,0.885226238845264,0.7105347751270834,0.6428587342384405,0.5476919482255528,0.6188138082044703,0.8196355335938444,1.167195508564435,1.4900764388911647,0.8696499788197852,1.1162611886777392,1.27781376344212,0.8680512268815778,0.8316019706952779,1.6138420679279593,1.6055317582609334,2.4614686099328917,3.5978297329749642,5.09963288977028],[0.7050555795090602,0.5979855591074149,0.7570276200011656,0.5431527710159633,0.541325232198042,0.6216182277445403,0.49679834156860464,0.5927468887496095,0.5275566255916163,0.5078416626524318,0.5958931152732624,0.7460557078189334,0.64091898386217,0.5988024851723827,0.9123700371083188,0.8361978930653554,0.7414924320187225,0.8848971669976581,0.9633197379048624,0.9146201609008712,0.9925486155942944,0.9917850449475322,1.065423238981929,1.1066659110724164,0.9667319728310266,0.9327567135554108,0.7811414113950187,0.7333270944035586,0.8160983250738383,0.8239431827389742,0.9932903895151403,0.923299846488252,1.1200203746682476,1.131933050454529,1.012456885709372,0.9328498652146942,0.8604118796767768,0.816202993946064,0.7230062133886132,0.7632662583847436,0.8074240065109963,0.8275389929276767,0.8718168292368943,0.8658374168861975,1.0310263916730165,1.511246412658556,1.335562323824063,1.0255766990416397,1.3576693836611264,1.1388508297956266,1.257422228767728,1.4389458721627628,1.0440357449855393,1.0177176343381544,1.7501151591199637,1.0929936459091085,1.1447497895813725,1.1269342729653844,1.210034447090702,1.3287252507498821,1.091054410545536,1.1985004369669463,1.1965100027900606,1.4949856570015414,1.1575017417554714,1.095374621061374,1.1726267594057844,1.0775580710552386,1.1758439749619414,1.1386102154822486,1.3402045277971077,1.6056166400868486,1.3635339152958297,1.397256561796958,1.185326605144481,1.8693532075178536,1.1781152295325932,1.2134398011993228,1.0953476873215127,1.0706827513326536,1.0380511880675907,0.9641738628082932,1.2511455400106588,0.9368117063656966,0.8319525644176559,0.8394216833158231,0.8629903919201211,0.9638274693187181,0.9787364694478429,1.1176356347560459,1.1612547568946376,1.340336173102255,1.2591781581891714,1.1876032540348749,1.0481783736308958,1.1707862344485573,1.0387520830678134,1.011328772172395,0.9382977643269197,1.0775203828881137,0.9595469882392279,0.9473354353570019,0.8355279876383351,0.8804778224919395,0.9435275126325107,0.7872579289768736,1.0027211365832573,0.7866728797367184,0.8069582459261523,0.8569601974939908,0.7069642359353386,0.5884341493301412,0.535602526353547,0.5365559926596074,0.5876530586919401,0.5312528439166878,0.6519527061041216,0.5806784492465867,0.8089747144594545,0.8039760490364438,0.721440488778491,0.6670510454148633,0.541709361518535,0.46311298404185786,0.4733375181403562,0.485360917488142,0.611885655295009,0.5873280405173028,0.6117156405935845,0.68189311216195,0.6857797559517815,0.762699698405026,0.6632831123633653,0.8265219484265645,0.6604854153051014,0.6386101747444414,0.8197527780059349,0.5504621236290583,0.6052542524718053,0.5033661985463026,0.5953142464903045,0.6366077632943662,0.65583674845083,0.568641364773812,0.6177905747180745,0.6646809013624636,0.5845373699199814,0.6570159391504472,0.6001486942743435,0.5938947757021497,0.713511139234915,0.7314445629087164,1.124795420932106,1.4740954800615538,1.0154259237814283,0.9452066351054802,0.8062664288615056,0.8022912658158898,0.7727101957440189,0.7295728989431267,0.6125890722954925,0.6637473312597497,0.5652518640380191,0.628116977979769,0.6747099252877737,0.603383054707932,0.5992540441105199,0.7734786275571112,1.008508526325391,0.9858222608743535,0.7671845069034577,0.5282087015582451,0.6169658879365167,0.6665323811716888,0.6975226522237731,0.7579079314633878,0.7893111665098295,1.030441407968753,0.7721759813612489,0.8423092998727056,0.8032434043981203,0.7111997376594553,0.7036227718125962,0.6941433747998642,0.6856456492857056,0.7271701258834276,0.6850287007702381,0.8223023434833544,1.1999579807368679,0.7974548466263532,0.9853169297668376,0.9227007454879489,0.7650664025340528,0.7514760157382285,0.695766770243362,0.7775186403066628,0.8610449054100511,0.7835717457690957,0.810039493243248,0.8213661477106077,0.9325299212697407,0.9576125760438777,0.8356179473274641,0.9362263105513334,1.0679149831542245,1.010779824607073,0.9839093423296752,1.1203021011611014,1.2020551346901525,1.1102823144777438,1.2385597901304681,1.3751985068237422,1.2931667658396215,1.3509652351454118,1.5147126407799547,1.4379269596070121,1.673296413283926,1.4832396785218018,1.3546206922443902,1.4413352486216402,1.432714887170564,2.2705964316887157,1.7545093806179348,2.2181896498190397,1.3424552554905826,1.3832716526283215,1.3310239922115557,1.3688035485602903,1.272536534667494,1.1752363882422379,1.1686649007511458,1.1698361939498039,1.2731585607169535,1.0762184388977385,1.2336630026468856,1.0682228723741616,1.048846328828051,1.0850320852534192,0.9661459697569014,0.8866349472260384,1.0106529521524978,1.169835932392632,1.245636262121016,1.5116100890057884,1.3601766801229276,1.2033722740817083,1.3760767813117882,1.5535913060302158,1.28335236135434,1.2305146703799381,1.4032858199088016,1.3922501151077264,1.2627913178179178,1.4501555709055425,1.5851160691814785,1.4392870266845763,1.432568168315971,1.5302506670025555,1.4499525813097354,1.426941017595142,1.3274276247289987,1.3439787948763229,1.4190745575383532,1.2442676169681863,1.215494850209227,1.2707096295221165,1.2560107428409708,1.1089889780916335,1.210706180822423,1.2749948087230782,1.2078624413476848,1.0823893404748814,1.1697963262674775,1.3914849341657582,1.2818645367971002,1.2945884218078896,1.3580531309376556,1.4465336923769763,1.6736270427741728,1.373899701477614,1.2533337557041484,1.1453066317602505,1.2824649064911977,1.2206617295171946,1.2427067849923954,1.1831570169858103,1.0204719403682718,0.8273499900528672,0.7570829610279044,0.638899877977992,0.7650829512206178,0.9845524482990194,1.326381086946888,1.5537437303784507,0.937430397174295,1.2374648708392335,1.3725608032568817,0.9061827936459859,0.885069849846026,1.6569053773801299,1.5844567751413199,2.2847917966935896,3.463219851878154,5.037528437844119],[0.6556053383944216,0.5786844789844895,0.7504718560705154,0.5232868943962268,0.5601034914341206,0.6284805526834528,0.49836956136948274,0.5651246217791186,0.49528877687717726,0.4568682149188085,0.5021090504633429,0.6447035802545817,0.5294430780738306,0.5146873533602998,0.8048507626856963,0.7176309783449483,0.6377252006790542,0.7551606013109111,0.8236544540531523,0.7762168976268262,0.8305620626057005,0.8222455847686577,0.8963347690952014,0.9920283200326476,0.8851622590176046,0.8190190677790664,0.6526303603735089,0.6186870173754088,0.6841672763642238,0.7121018468624575,0.8460488785942805,0.7966341799721617,0.9647411017602742,0.9405525960160304,0.8456085775259387,0.7899853391565996,0.7606574830142517,0.7036654162132315,0.6167761657738051,0.6701577414294897,0.6829560216497295,0.696714087839253,0.7136901613072165,0.7527161220656864,0.9797169588388763,1.5352835155927782,1.3452765648068588,0.9201799878863717,1.2847880560582359,1.081787411619563,1.1243326550791588,1.392041211025992,0.9330936612815817,0.9351242862237604,1.6638101357314874,0.9517767022131923,1.0067927595513935,0.997152121929782,1.0728996847627985,1.2056200390426886,0.9367841574373266,1.0331535290588145,1.0301929441653253,1.313080314768851,0.9886074985975927,0.9361752264493266,1.0440453020799383,0.9213082594386217,1.042495259882478,0.9950694315911535,1.2201498206514831,1.4864360808873178,1.2296727997538521,1.2537765423587606,1.0069772516536866,1.6788114899892752,0.9788216898517266,1.0149258243617183,0.9222986008470392,0.9184819666183887,0.8897328023441062,0.8277914583516455,1.1358623781619066,0.85285438882307,0.7870583554038284,0.7546150109959341,0.7494744490702746,0.8387392231134293,0.824875832438338,0.958057711676887,0.9643684589177598,1.114448618452083,1.0529551496782321,0.9915573211701317,0.895354763366401,1.0149589179675154,0.905923180825709,0.8786136374963297,0.8279488202528723,0.9908311516156899,0.850377612438029,0.8760244177425023,0.7388041815319283,0.8169245059130471,0.8869046939916124,0.7774192750192205,1.007859903306596,0.7486080559558965,0.768221325335683,0.8389539690816484,0.6835941632098512,0.5849924325857134,0.5150906494186333,0.5073074393715508,0.5488245386970383,0.47902094765938336,0.5727177525535625,0.5133406950129098,0.695647649397135,0.6855794939018768,0.6290942131451863,0.5782154534988193,0.4739968795064932,0.43894026422241506,0.45447363925491474,0.4734304000679215,0.619176029864769,0.5879036470657516,0.6176385791568467,0.6848982093287159,0.692387571987209,0.7684937806410479,0.6692450586324348,0.8212939740627754,0.6685718507060331,0.6505467531042204,0.8536851407986487,0.54361838594984,0.5781789864476033,0.4581897468047883,0.5360191184339926,0.5720073255829445,0.5713065590657831,0.5019078440011584,0.5386181157152801,0.5798704302671127,0.5061746226578785,0.5917141927138974,0.5579367736523764,0.5656305832615536,0.6981315588083062,0.7039467912668729,1.1068605137135723,1.4488040156930488,0.9699048271291817,0.8635972626024696,0.7345065745364652,0.7378168049223687,0.6923628614307615,0.6723246693413424,0.5629743166110213,0.5916109636343815,0.5061892444010054,0.5581956113671803,0.6609118703337746,0.5782334102585818,0.6035209379477992,0.7840483351748356,1.0470192784010077,0.9977523618451961,0.7687112594501406,0.5083164773309065,0.5995586716099048,0.6171995498121807,0.6124825429639399,0.6994612505126282,0.6972930812424715,0.9673990747915421,0.6999299579369433,0.7804422230108422,0.7453932538579309,0.6723410653733739,0.6685607946670895,0.6655681823029811,0.6395704493739099,0.6665972643504348,0.6073291613603881,0.7877532637383788,1.187117211588332,0.7739551987258407,0.9856743475242352,0.9005113090873711,0.7776709794671638,0.7666506008958327,0.7039125497656648,0.7897643268423652,0.8652763767208277,0.7802328109776565,0.8043637363577182,0.8032501906716394,0.8947178992461852,0.9069852652320705,0.8058038366496649,0.9078257769017649,1.0188641595028578,0.9631302552178069,0.9393983223372502,1.0720567497402271,1.1376507715663324,1.0489235600388482,1.176732656013217,1.3040129342286852,1.2207823816393848,1.2652778222575123,1.4400391208012517,1.3833339422532493,1.5866576517248387,1.430626261197885,1.3014208734176387,1.3677841899255514,1.372514824442165,2.2119290158072253,1.7092618949882548,2.1829907284802483,1.2909654421060024,1.3211156737443694,1.2737747420661654,1.3289520177141991,1.2206589632636144,1.1294361043445569,1.120239924573805,1.1262193656097594,1.2313544457535204,1.0363099078497136,1.2030530322791984,1.0544756520822736,1.0471287002633551,1.0810418071231735,0.952639105715777,0.8699683486373601,0.9677712037800371,1.114497745713753,1.1794747844867928,1.4352348853305354,1.283834137897626,1.1630994120733016,1.3076045238003253,1.4791453973046966,1.2348152869149231,1.1772565090686138,1.345196364350172,1.3379819717611163,1.2032290863399808,1.3719544738853204,1.4995345039630528,1.3627474717328432,1.3492106053313369,1.445583173512151,1.3680265298923433,1.3446606600918485,1.2482626118366384,1.265547560555049,1.333055853183473,1.179555554524734,1.151602001823261,1.2073786260203396,1.2047238350862841,1.0718571919696265,1.1724262303763828,1.2507868445624482,1.172758700455384,1.0458098322270886,1.1230747458397965,1.3598501126472142,1.255247643242462,1.2774811356206615,1.3361823185975765,1.4203779977682425,1.653905116104739,1.3480055045908137,1.2170494726394268,1.1161646585592886,1.2721057900907211,1.2092626949467937,1.2402228793820858,1.179035410745337,0.9939720175759629,0.8181382726009874,0.7518901210703907,0.652322342046669,0.7448825053688951,0.980591071339083,1.3143121960281106,1.5299350447004856,0.8990818526980572,1.2162164330221477,1.313052786933981,0.850819512128858,0.8548063533374138,1.6562994697658364,1.511703214139543,2.1334322137543587,3.2622480449515523,4.743573445198],[0.6332715967649035,0.49694333377574346,0.6155952450909543,0.47006622927564584,0.4580016569459195,0.5078866198354562,0.3978083798543481,0.4633830723343305,0.4210951911595207,0.4164640222274159,0.4984154143353729,0.6174972822479017,0.5075160071983061,0.5139745755832729,0.7951952972411679,0.7096991316766121,0.642275190168589,0.74722815206872,0.8176248879732908,0.7679450251539633,0.8380890717766687,0.8309419611570134,0.8903909453308068,0.9800938790572914,0.8749221798350741,0.81273112689458,0.6628410350295929,0.6184052135255478,0.680393580643039,0.6987695113171888,0.8288973167148003,0.7716989537361043,0.9231464533650021,0.9098015171807674,0.8212462429821589,0.7753140221080747,0.7354234341081891,0.6989137072936444,0.6089208101270556,0.6589441739873942,0.6965746809385912,0.7089057596175363,0.7311437619084826,0.7782921610599857,1.0053160314390164,1.5541259098915932,1.3780746490783997,0.9605802911355649,1.3160388007433697,1.0997164049953543,1.1322279182630268,1.4207824996953864,0.9104739124168728,0.9387918224310711,1.5912419298190035,0.9117181743441072,1.0064176381167407,0.9681504022790294,1.0181268182022838,1.2243157040241475,0.9224719486145251,1.00846175509495,1.0115894438608801,1.2885624994671603,0.9806525765004754,0.9274826792601677,1.0411291364667665,0.9096392388877387,1.0349486536572878,0.979640045298013,1.1959296455522737,1.4614584870666643,1.2079773466356765,1.2397215069609737,0.9893794130100101,1.6728730184148426,0.9695452918561734,0.9850307775764311,0.896250463847074,0.8969794374764043,0.868317843400782,0.8167962435330377,1.156409920375903,0.7832596134056917,0.8159505784729553,0.7525956789908558,0.743398906877044,0.80766392458239,0.8122085835070764,0.9354128876863581,0.9510247151397603,1.0986268989724888,1.0290872955965975,0.9687813558907754,0.8665746541864616,0.97761186848356,0.876515734415758,0.8381210293347484,0.7867893389827213,0.9385069179752953,0.7923940516595291,0.7729671837708866,0.6613065725546999,0.6893778764998459,0.7660326694080215,0.6517736006424186,0.9082504444843804,0.6029611895493073,0.6452285675772094,0.7150397564799574,0.5695146349064993,0.46316818038037266,0.4252104844088869,0.44460115441062603,0.5281307775677148,0.4511653773692587,0.5669936188928616,0.4992241855324437,0.6819888503352636,0.6706259626177858,0.6214807366800558,0.5793866316993805,0.4576532613701748,0.42496073753548114,0.4176124102035528,0.41506269760691417,0.494008586410556,0.46904772359734004,0.48276018232660184,0.5413726152199828,0.5457581504603073,0.6134321689246616,0.5032377929411751,0.6864822428939578,0.5091746611091813,0.5132859966277211,0.7904414648221988,0.4762229681730704,0.5575479883043053,0.436473601967044,0.5513236808812328,0.5728387320397221,0.5611888240078236,0.4915036472179887,0.5216752198578272,0.5603909597896845,0.4760092243482156,0.5460259570010638,0.48842922845722336,0.4820463228025778,0.5620467492470596,0.5837993130322585,0.9831414000521639,1.423903204461598,0.9324228304891272,0.7568023987272056,0.6507502294430454,0.6276354501233403,0.626528975826307,0.5731653330153419,0.50841692007995,0.5359504030110863,0.4638315614470821,0.5303663679487864,0.619400970743029,0.5735903557175641,0.5195534200912065,0.718539201260232,0.9491695177450389,0.9302888127819969,0.6743817066383297,0.42764660899659934,0.532002682359473,0.5266310771031234,0.5351684461942311,0.6198288575869055,0.6463856184903284,0.9088711123392568,0.6272034314914728,0.7318190180256932,0.6290135912009179,0.5524248889344999,0.5427817757338927,0.5374971293831745,0.5490200767813419,0.58558997834303,0.5585823015854581,0.7536935959355044,1.176236498129755,0.7852497893601119,0.9259102562532403,0.8407188537365833,0.6936560133478485,0.6631783026576069,0.5315658393491018,0.6354061559468891,0.7305260555066158,0.6281534164112486,0.6543942144658412,0.6363653491469583,0.695287667177234,0.7235343845959732,0.6254349525638951,0.7309831511420202,0.8312558548906741,0.7902061088192731,0.8070532997490968,0.8987693458389818,0.9556443869704864,0.9019489857021397,1.031737612970569,1.1269771829657211,1.0593599153846993,1.1465078895864476,1.287119596700658,1.233022358936594,1.4227434775572705,1.2506241936445315,1.1240347710867573,1.170654966010342,1.1583807605021768,2.1090886875735615,1.427869213512127,1.9478369073973512,1.062516645032792,1.1257581440425803,1.1076298838853291,1.1400404742969625,1.0395843878333697,0.9342239313198178,0.9537111110675447,0.9425896555799425,1.0442197660704042,0.8606502187327866,1.0723649364890147,0.8619110725373539,0.8862770218338493,0.9483694151648688,0.7918989582474529,0.6931048839438739,0.8100046636056549,0.9514950367980834,1.029617173086172,1.28026214536802,1.151521861821718,1.0110328577014545,1.1210386307955549,1.3311418459206215,1.1020308897578632,0.9956439316041807,1.1654558836560491,1.1747061101049554,1.032923750119954,1.177356579761341,1.317989750981201,1.1878699425956327,1.1460423406023794,1.2256764245389662,1.1561384841389224,1.1289281245764768,1.0451340591624483,1.0488457194307155,1.1128447384783002,0.9823166005539664,0.935772955332292,0.9957255827301492,1.0020701336429105,0.8859861360552181,0.9597232728946844,1.0697704615051933,1.005171356267845,0.8696319738169368,0.9655134682830497,1.2165522304984335,1.1386922661206147,1.1538557321594292,1.213776475065959,1.3398046733684223,1.5146536402345185,1.2240307884341293,1.0785464014338724,0.9845243869275341,1.1367976459479143,1.0810373973970964,1.1050028828327383,1.060733401826281,0.85194630239618,0.6924737775503961,0.6138222335366159,0.5186141910569375,0.5965146660261169,0.7896063812699818,1.108245066081279,1.454362112706814,0.7855658501592954,1.0444118211999962,1.1799884452974971,0.7926883328524293,0.7626105271958883,1.529904664439646,1.4483942955376938,2.2658147986697608,3.390557446610778,4.85636095961974],[0.680622161319948,0.5591579847944519,0.7255075273029942,0.5913813002311402,0.5579538591798432,0.6361884359407939,0.5397856954905683,0.5902559774000035,0.5767874182461333,0.5991309523800967,0.673495648066297,0.7656241726465972,0.6901121926410141,0.6781166413112212,0.9263113703856031,0.8488151394268431,0.7848317681339654,0.8941732825413117,0.9521286218357801,0.9016103550616382,0.9484297473843613,0.9558939727636468,0.9910504189815407,1.101650814781389,0.9825486781093055,0.9381381257074739,0.7879049482218934,0.7660210620511239,0.8359371341867241,0.845788845375843,0.9962827966233729,0.9317713158040742,1.1091500422372644,1.0883072027825682,0.9881061982444644,0.9375963702154558,0.8884903043213509,0.8469140574151501,0.7629068616770066,0.7989628749844487,0.7963905628326561,0.8443902300207183,0.8773730125054208,0.8710675936490763,0.9655449992226188,1.4457907931229816,1.2419209492186405,1.0181906521559327,1.3361193465589107,1.186455860419177,1.315587222726912,1.3880058715742207,1.00271642880012,0.9731473304658824,1.7332369260001237,1.0992261677161026,1.179446461507676,1.0816898602286125,1.1882569734816513,1.3262678379293902,1.0846550945892044,1.174192664997834,1.1721850777984013,1.4290265842871375,1.097425200145335,1.0658595259058035,1.1559897496345828,1.054414289321371,1.113261902215818,1.1066757617496983,1.2769347453044053,1.5459022895887218,1.367792608325932,1.3644625391970113,1.118615670197295,1.6982052114027122,1.0992778377266252,1.1506640966111086,1.061918729154064,1.0558581244141843,1.0130120080172431,0.9759761759299619,1.2423291018946814,0.9402491418680787,0.8766684804534259,0.8736648060934862,0.8901884039784119,0.9490907560550735,0.9713131951937012,1.1070527008163515,1.1063142404909376,1.2346840160762493,1.185349015966931,1.135717659424932,1.0298883310686324,1.156780699585358,1.041064642461532,1.0177344657321785,0.9409945450124816,1.0487158010537037,0.9353391904103071,0.8718241661541074,0.8006003776978668,0.8188604977305093,0.9250694047613424,0.7239092648814957,0.9453978405775296,0.6985440307930865,0.7319719385771616,0.7988957157739723,0.64565853218742,0.5893518620708723,0.5670691662808778,0.5907606810030385,0.6408591013619954,0.612880118662627,0.6952849799794987,0.6289381561310696,0.8121193861036891,0.8286345017083208,0.762650381686553,0.7029189238079787,0.6198311377387773,0.5855299138549318,0.552123331858477,0.5343978361394528,0.6321131122399551,0.5962955300195817,0.5792469392393492,0.6581028745339144,0.6581791880830263,0.7017121962257573,0.6470704371708995,0.7900236059188462,0.6962676694694968,0.7098355527947158,0.8604030691847792,0.5812369520613084,0.6195376534095395,0.5934629476049136,0.6534928599732828,0.6739843191694216,0.6893018888756355,0.6459668367416659,0.6781376941445433,0.7172440796029063,0.6483515832553948,0.7055825015082152,0.6455854564895275,0.6220940969213075,0.657366218261188,0.6725597538283543,1.0520118626442845,1.4516914580495708,0.9819353606495561,0.8798235387163114,0.7799854990504596,0.7598402725033832,0.77588856562471,0.7310733592335588,0.6575089394437079,0.7212923431760486,0.6356173633672711,0.699708066131289,0.7356998712366851,0.7122138648546461,0.6799226313821912,0.8197261938961569,1.0735326175521893,1.0749097298871653,0.8421680261606822,0.6111015235573793,0.6497800925666644,0.7109224480159201,0.7237437075596315,0.7859319094043833,0.8130679900599216,1.067764524250814,0.7993912264818002,0.884519675399558,0.7949573737546732,0.7096029416525201,0.6977216234979413,0.68844022194231,0.712333693617956,0.7551954070739431,0.7742547896062815,0.9255485433970986,1.3444283509540345,0.8910507439802944,1.0635552243812045,1.0104354912884546,0.8490042340919564,0.8101862793123248,0.7110753431627661,0.7388461234250209,0.8501788533072104,0.7088464674061423,0.7006128291964062,0.7317240968114166,0.7832873969309081,0.8131701805043677,0.7264851729173875,0.8167738553506795,0.9176249683059916,0.8799926593290982,0.8764554413004134,0.9838694635044776,1.0383778441239613,1.0057248758000048,1.1239342368033594,1.222489553148121,1.1774101560361607,1.2735865901836887,1.3887443132503294,1.3101311665099147,1.5297392521317146,1.320580021444741,1.1902053964547927,1.2450784612895776,1.221207707431015,2.2412616159183085,1.4766676834649892,2.0792213079825452,1.147341499499798,1.189312613047491,1.1765729544523353,1.216107481342384,1.0854201056234685,1.008819803356534,1.0297327152891473,1.0176822375517964,1.1137509582524185,0.9317707519044159,1.1534322309266,0.9127197290541906,0.9346876196601283,1.0417095986187943,0.8485218759187387,0.7794706840902351,0.9099495385060216,1.038130688375777,1.1181373142740385,1.3096745265313618,1.2247753343115981,1.0886282099040898,1.1689768983108697,1.3786769539152541,1.1350971240433316,1.06385448674275,1.193359800466314,1.1922168057709794,1.1019053628209858,1.2191850978056449,1.3360341771109725,1.227512222218147,1.2230458112455413,1.2796752629168007,1.2262031285626982,1.1888739494874287,1.1124358020641876,1.1159658768313139,1.1714141613319438,1.060464696284896,1.0293614544055136,1.06418484995347,1.0685152365830903,0.9544355933149472,1.034172986407039,1.09527280106968,1.0650293112963594,0.9239559373939633,1.0036463695827555,1.2041015137430693,1.1617907760512323,1.173728713718093,1.2129322693364901,1.3569047619303494,1.5231448658459958,1.2525794848919467,1.1443940840996758,1.062696085884995,1.1735200790355633,1.106241665167396,1.1066577950311578,1.0864645431624753,0.8759602718280068,0.7409223830110586,0.6762739861232483,0.5962961288051364,0.6723693164169608,0.8676906342336452,1.1988659683556222,1.4516430327065222,0.8393909159318215,1.1423634420874935,1.2908879326597675,0.7991743856624562,0.8468264572766668,1.678507710437445,1.7664442718903017,2.7435938825978945,4.025430735596963,5.7285365164669715],[0.6084354519978276,0.44162945087975863,0.586221762851266,0.5092865397653881,0.39929080942364303,0.5059405652119929,0.369958882229865,0.42371670253194615,0.3811104400193185,0.39372171471913253,0.4751892804106162,0.5864158010303702,0.49755824064017334,0.4986071414496644,0.7983480879516489,0.7007553426078941,0.6319177721248893,0.7625663690846033,0.8310171076398044,0.7857012496183281,0.84505927956954,0.844658871594464,0.8928030038308734,1.0179295310529903,0.8648370729408732,0.8198775136994769,0.6617498413038085,0.6241000797195904,0.694830742136917,0.6989428653482298,0.8539133019302668,0.7711021054640766,0.9418423564491729,0.9225960444969366,0.8293849143471795,0.789251744541538,0.7373178523259325,0.7068013841962162,0.6288879156510417,0.6845448859874018,0.6622313040586044,0.7183670102212117,0.7560967128673229,0.7636941228554328,0.9056348727028201,1.4086985141565707,1.2141840217239313,0.9262141496650667,1.2640057535778275,1.0742366963655456,1.212285007809165,1.4019557271222114,0.9415636677993623,0.9604230073622944,1.6683732603038044,0.993265109333528,1.065443327388152,1.0190918641667217,1.0887802155072634,1.2409319783598545,0.9661332912176273,1.0496224655408999,1.0317423965054984,1.3057942004529213,0.9856042431790781,0.9487424351431322,1.0530373665883432,0.9355026580891066,1.042563747360475,1.003967126150629,1.214369362889349,1.4690642986609144,1.252350968425942,1.253690051923243,1.0041897298197462,1.6495719822548869,0.9759304954479617,1.0078320900753572,0.9165402263451895,0.9234206679894646,0.8631582365438684,0.818052418128382,1.1279491153437589,0.8477482771466223,0.775180563232715,0.730849654958922,0.7486996813884702,0.8153296047139523,0.8301897204667323,0.9577788909799432,0.959611557594535,1.0984851952293364,1.0355157589777684,0.9781753914183455,0.8849885013665851,1.0130689679388347,0.8906699054104756,0.8444534827970619,0.7668053253357084,0.9188459906586237,0.7743397228218071,0.7416411745611579,0.6470508296923047,0.6873743034351977,0.7897652961138302,0.6477045562785486,0.8661129479746292,0.5899533973836619,0.6219450333331086,0.7194222820011649,0.5387735947366467,0.4296366565568572,0.38595943913881847,0.425892575985166,0.49534901030093675,0.44600458390062275,0.5345303395832878,0.47806689176532646,0.6751590521139731,0.6997131522428187,0.6040776920109082,0.5610803829405263,0.4374821492908791,0.43202248515549757,0.3857013766753818,0.3749217126884075,0.4924479077117845,0.4599427914467621,0.4533247119860769,0.5525007241151889,0.5537821866517849,0.59434658300307,0.5257841843015972,0.6997723001629358,0.5542006852643582,0.545541323515229,0.7669032059542567,0.45644869927960435,0.5338952799700422,0.4295002964736634,0.5305398023094732,0.5605351151419102,0.5566050040436864,0.4882428777029546,0.517853847035308,0.5606646159097541,0.47458661167919874,0.5486916593547536,0.48562086306616065,0.46452606355651815,0.5638827545508551,0.5987603442902164,0.9799991648326014,1.5229620655065217,0.9435274870889468,0.7248218130360016,0.629333832135852,0.6154355116317284,0.6287152258330346,0.564287632435796,0.505168541652956,0.5541877290008811,0.4669219209499323,0.5292117808683902,0.5747438673018249,0.5674916381143187,0.528760044944732,0.6810744415424076,0.9281510110957139,0.9467482049911301,0.7016637490324703,0.44135114691880956,0.5066914939846051,0.54746614720824,0.5445384988862743,0.6141655662111304,0.6358651451815455,0.8814161418875213,0.6144176941844267,0.7034423012481829,0.6662652355074353,0.5554446076629652,0.5434451658118555,0.5370585649917338,0.5735219817306391,0.6345285841069932,0.6114946525522136,0.7941131482374716,1.234046411131898,0.7815748046576673,0.9542866168340131,0.8865144135508053,0.7101825620275993,0.6812156670157039,0.5856884476549132,0.6037385905167587,0.7464431299647067,0.5767256623348658,0.5710149221080975,0.611475741318665,0.6430007168508404,0.6786052649779841,0.586417404758907,0.678916725966558,0.7799116011995771,0.7578605492177553,0.754448283354981,0.8410804320817997,0.9178293544638207,0.8832412773653499,0.9811894854290126,1.078135467140556,1.056040486877445,1.1444908380581333,1.2398715453942735,1.1412510224717207,1.3847958672407206,1.1381087041060636,1.028681538698037,1.0753588573526147,1.0390493770435176,2.127369268743408,1.2916680859457894,1.9820251677269496,1.0102625506169534,1.0463539439371996,1.0365166768440228,1.0778020041010823,0.9306037884170323,0.8682151059239088,0.9035043930649583,0.8887528050593435,0.9752665180665528,0.7963301540382013,1.1012256651680088,0.7475620883306717,0.7898468022314034,0.9451528604622766,0.7156967017907765,0.64841625031843,0.7873204961951875,0.9339592811664837,1.008628730686416,1.1842799769590764,1.0962876336453833,0.9617596738978551,1.028054752031777,1.241769656857087,1.0132188878346104,0.943162551238962,1.085209824214203,1.0979000153676397,0.9890811188265412,1.0966059704800903,1.2303163250895195,1.1293018504222732,1.0967558364352428,1.1492889580686627,1.0874501144208724,1.0487272505561442,0.9718604933246697,0.9706826842699436,1.02149283848432,0.9081672179104947,0.8780451886781037,0.9030026756111773,0.916825331411508,0.8052568123245047,0.8687910839403421,0.9493066308633206,0.9140589458605773,0.7830152963197105,0.8565481491548541,1.0704842224949742,1.0256464411707125,1.0378289224627806,1.0522030879002848,1.2286498607118528,1.3465187510951708,1.0855999469556536,0.9861447116750314,0.9085848207383543,1.0228419449479194,0.9577124438938966,0.9584397333470697,0.9759722292097089,0.7680431184873132,0.6193647949950192,0.5531203410330501,0.46432309496221835,0.5434903215135968,0.7527479080297201,1.1021634485747458,1.4232400657742286,0.8702137121167112,1.0830907351908297,1.3056365925929154,0.8359309315743585,0.8041858612466558,1.6250765493558306,1.9141719450499006,3.0958239166288553,4.461588214487786,6.090478314491361],[0.7316943144219328,0.5920008671377013,0.7299163324546922,0.6310609581442548,0.5427997459835421,0.6066750748749704,0.5130548375849947,0.5615237462149835,0.5417899625981089,0.5673587157158849,0.6383140358398922,0.7552384757069804,0.6860611589489414,0.6443102262575253,0.9353295334293673,0.8750278383408814,0.7869484341806797,0.867093798951068,0.8890890466203987,0.8655977672325996,0.9189488090159916,0.9352148187386214,0.9432810201343343,1.0647345908633281,0.9074308056866234,0.8661244595557308,0.7656060196732689,0.7496973661591118,0.807890124238679,0.8456514405486038,0.9893287182116399,0.9514658507641192,1.059024561016984,1.0772930184333749,1.005026326885025,0.9424267935308743,0.895548889707297,0.8465121445576724,0.7728556237000994,0.8382682839058581,0.7912635182628722,0.8384578837656016,0.8983312484874477,0.8650001735400977,0.9546400489691269,1.4043773730712823,1.1876952439634403,0.9955143257420553,1.3064661149342778,1.0761957213564253,1.303229969106495,1.377545622315398,1.087824943318061,1.031615508719019,1.788607022331724,1.154623841734622,1.1955711654977839,1.161218269384192,1.2289305913174071,1.2908302648328884,1.0580752109616882,1.1592323433966871,1.141380689684135,1.3630038030771747,1.0561307924856178,1.0335015821533897,1.074578035027075,0.996675469797917,1.0553466100357827,1.0438056790411974,1.2286711537517705,1.4560572551560684,1.2583883141117878,1.2272019275369488,1.0945227243913247,1.7016918371991194,1.0936659402465048,1.1449802220135903,1.0575997615310408,1.0618775729357472,1.022150978248624,0.9884880365627293,1.2435179746199068,1.001645648307617,0.9279835575318434,0.9064268977252292,0.9066367803319847,0.9794498301702771,0.9655509385257536,1.1203438792160636,1.0968370018651146,1.213066337825664,1.1753789255812883,1.1453886673947908,1.0457476479426429,1.1781465924876624,1.033942118395944,1.0333528952580118,0.9668930433933816,1.0562316206677262,0.9591879119124985,0.8742242839086439,0.824732668209655,0.8517663276358362,0.9708307181719573,0.8052151284203541,0.9877544732669392,0.7583876436639162,0.778181743074878,0.8195109607152185,0.6942631411841419,0.6026613234448843,0.5714113712381228,0.6032395810962472,0.6602984129543819,0.6300444528134367,0.6985808202435656,0.6271365837470166,0.7969908689079498,0.8039712148952942,0.7501252519784982,0.6991990286226887,0.5845205990933974,0.5591118796296735,0.5111232383820046,0.5059622440597291,0.6285672477564757,0.5955778478761801,0.6045514339943142,0.7037358607174325,0.6769543426437802,0.7359191981465389,0.6725217854908007,0.8411962853633477,0.6748626545353466,0.6495550650258167,0.8788276151361183,0.6001049726121741,0.6532360228416156,0.5687771467056854,0.6221661876217844,0.6580870249552704,0.6946655113386987,0.6564521387126734,0.6736382606603656,0.7061814854894298,0.6397631513612275,0.6913499976316348,0.6662991218731545,0.6496420736200658,0.6850982229260605,0.6961298049212843,1.0240087469168457,1.5120001045941465,0.9670759411337891,0.8538374799554521,0.7901903578755329,0.7609891837372246,0.7908978201315359,0.7399984731149488,0.6876057007041906,0.7147703474778359,0.6323849741868115,0.7058462837164963,0.8067097324036929,0.7060116053842103,0.6401179739109434,0.696748247274604,0.9066699201372121,0.9325732132686535,0.7365677505277135,0.5795898888109231,0.6711707252788895,0.7030087867280426,0.711828075298855,0.7848823617351709,0.7853390893773152,1.0238025369129544,0.7920471206569352,0.8868319338980659,0.7811322612809654,0.7322060028542677,0.722183783119105,0.698988789651161,0.7108755092550348,0.7540826785306723,0.7373744433576669,0.8877031902482734,1.2464409251971145,0.8448770702211131,0.9858273918283945,0.9897229402318958,0.7866633686902518,0.753311422346233,0.7081509165053775,0.7045619595292513,0.8670140284363272,0.6862804310768866,0.6678016288805212,0.7127616116268305,0.7782101108778602,0.8170052748590807,0.718020373238136,0.7908248192661365,0.9121803371859314,0.8845190871817935,0.8427573103604693,0.9534644982097332,1.0537894338365825,1.007906269543199,1.0946724462890836,1.2178410780222637,1.2076878269525773,1.2655786271656642,1.355838893943061,1.2181079181644086,1.5040052656100373,1.2042995067468831,1.1299064663282856,1.1865203226607723,1.1440667980968802,2.2508124022787763,1.3801013297030895,2.0997295995884424,1.1669156622499073,1.194079904448446,1.1767859659997255,1.2224131717113496,1.082619740055739,0.995789348796749,1.0326575735246193,1.0190491538893893,1.0753482323152195,0.9044395309613443,1.2174496297405557,0.8487778744432023,0.8498104437663317,0.9857048523490566,0.8039541145568888,0.7746300826305083,0.9310797623206043,1.0642966461848025,1.135564866822072,1.3035900188172804,1.226941754303756,1.0869896568398143,1.1595748740514125,1.3452977475842678,1.1332487654152126,1.083719966656543,1.211886818501224,1.2146383864666017,1.1314507301939765,1.2354546273725155,1.3557245821124588,1.2745275280129744,1.25305598214506,1.3025118164085023,1.240017299730867,1.1984692797177923,1.118440740672253,1.1213592344388892,1.169710322799942,1.0449762290646862,1.0096742730521304,1.0354779479690055,1.0354668635871769,0.9262815817923816,0.986920722590875,1.0539182281462698,1.0160854263834302,0.8767852638992141,0.9652925753067592,1.090826493132753,1.066956338552238,1.055598279661057,1.0525040539893986,1.2186788211541226,1.3332391608695593,1.0882799697466954,1.0409878892750704,0.9704344282475057,1.0276360132929971,0.9528642233443104,0.9451763050992152,0.9860091774115719,0.8172343595810893,0.6987781016067066,0.6593924723049304,0.603517941169925,0.6638608033913406,0.859774432252066,1.2010238358028196,1.4616423012569923,0.9308217723413432,1.190902940385046,1.4266865514016942,0.8661400935770797,0.8963221513872385,1.711455633961852,2.232877683157616,3.4781961473185854,5.044183718212726,6.846294185002765],[0.6994643150982864,0.5466734291719176,0.6527924585700211,0.6080082381398103,0.5144897040736882,0.5776562000172757,0.4794180185978932,0.5267976578090224,0.47925713282192844,0.49605348830727203,0.5502269241827283,0.622284267616983,0.5766891830810318,0.589588080217431,0.862564029871951,0.7623525007382298,0.7269677254742718,0.8245535649000846,0.8797985371441058,0.8354921094304402,0.8914764713195272,0.8859058173335738,0.9388582385807683,1.0808175036400018,0.8740116291280549,0.8621322562440449,0.7389541712881421,0.7092526151211485,0.7571794888221748,0.7462582410139535,0.8719623051568729,0.7858124697110992,0.9235054026123095,0.9125512420552632,0.8482052579840452,0.8219128455407478,0.7760255724163091,0.7786330354898938,0.7082685089995404,0.7604722929592446,0.7515221894401922,0.7716645688995556,0.814028087250009,0.8162289073093043,0.9200329868456982,1.3591088958905875,1.1511465737698114,0.9761525965866465,1.286310621086918,1.0609884709629196,1.2969170022441994,1.381652460438183,0.9966540072666138,0.9784716884168674,1.6970644668669257,1.0368069849788353,1.1178014829506473,1.0545213070579416,1.1138125458434425,1.2503347175773567,0.9792930910176366,1.0700349557979463,1.0411299297539822,1.3224364574198,1.013757512941174,0.9700755685821881,1.038230781917533,0.947048324736919,1.0395529964439008,1.017575611010224,1.2436862953287848,1.467378067745582,1.2224151046621807,1.1920058712432497,1.0173485970023395,1.6358999224081672,0.9990413763676014,0.9970372463413343,0.9255405712899322,0.9443551709459763,0.9055892607140489,0.8601129905264366,1.1500079384384965,0.889541658387397,0.8437354423628705,0.7915093772655988,0.8002668551827786,0.8444577924269177,0.8543993760933084,0.9589430252908897,0.9679623672384576,1.0863569174414618,1.0297798454770226,0.9793594514401514,0.9017247718827507,1.0316193540530854,0.9438941918439377,0.8405330117962352,0.7731138104269137,0.9347155889950121,0.7751436091322557,0.7741305071351008,0.6829528326952433,0.7382203713812888,0.8627000142556545,0.7163779569260113,0.9042577865195123,0.6609479572482352,0.6788324344117567,0.7834669597925049,0.624492891753931,0.5262360320295091,0.5023511514261079,0.5489211341316147,0.6156337356950521,0.6064808100653665,0.6564352653459093,0.616661043825763,0.7848668409223297,0.7799088469465757,0.7287179628173444,0.678594372680618,0.5863507659221229,0.5684991854867223,0.5104799383059405,0.4966334718841151,0.6135685509186504,0.5508421137159538,0.5626678964152708,0.647094986637375,0.6272095402011714,0.6827650901338086,0.6163901559348085,0.795209754658896,0.6398115218492844,0.6002338974581853,0.8427393073717027,0.5716251479667387,0.6218557915877578,0.526568262427769,0.6347033780105091,0.6492278920327157,0.677521990987331,0.6046311445232627,0.62809903828453,0.6538969878701362,0.5826629814430655,0.6258835448758165,0.5797543001739897,0.5528846830542885,0.6231672592300663,0.6746345235377007,1.0303259390718913,1.67862598842621,1.0433079170751118,0.7430213789267331,0.6518280560608547,0.6557250598305528,0.6860195253471028,0.6567727656450154,0.6147823625730934,0.6468078084737056,0.5776151449955629,0.6406828172002802,0.734624635469102,0.6867642798249658,0.5787257867554201,0.6420740057299946,0.8274884720743736,0.87976611511878,0.6777513815191378,0.5385155025242039,0.6004459669663833,0.6255927957985298,0.625656048167046,0.6690773152036628,0.6851095521517205,0.9191948626132522,0.6728308888379918,0.7635835902446034,0.7047317165787044,0.6426579787084982,0.6368954000185851,0.6232333989134845,0.6459210799530835,0.7141606818743798,0.682116116584769,0.8766801489051024,1.2017254916911737,0.7809767825983476,0.9381422385132095,0.9469462597359658,0.755728012663606,0.7281176020392203,0.6795164106253334,0.6620006813488172,0.7817449174404729,0.6269818827897612,0.6362410791281281,0.6895052755636353,0.7248007023996847,0.7766029335451118,0.6858450655809636,0.7394041519060526,0.8533157306605802,0.840014925838473,0.807938830863583,0.8799835637235931,0.9831587694343349,0.9483870019338166,0.9968806887762963,1.0982035334861762,1.1102096045289367,1.1836472109340543,1.2274970198445072,1.0976736870316433,1.3798877992027927,1.0638402542519252,1.0130968722054339,1.0595864365474033,1.0215920448313296,2.189857452914124,1.264191985853745,2.028743165960629,1.0706593697641538,1.105209940347328,1.0947059458294988,1.1304670068173666,0.9667851067174629,0.9063484643895763,0.9428498587769721,0.9345903550240993,0.9630954464438118,0.8205438234499327,1.1619323528499539,0.7682105498352302,0.8224619745522135,0.9995592267017794,0.7704939771919436,0.722842493685237,0.8642547317811374,1.0031482376589924,1.0870665688337657,1.2280089708491702,1.1901412534861877,1.0312664322756908,1.0965263019084184,1.3106469966771468,1.079205806930633,1.0177032674969864,1.1423356593071645,1.1514227406604463,1.0763248674312704,1.16190375768359,1.2879286364948521,1.2185158668102984,1.162351080011213,1.217586147237624,1.1427435004700104,1.1147768774227667,1.042984442831407,1.034038946359678,1.0611338976868756,0.9492678566871406,0.9363555513702682,0.9334470065807888,0.9348215615040342,0.8346015409976552,0.8824001979054398,0.9459985865525024,0.9024864549448386,0.7971409013780618,0.8707023826486193,0.9832454692158519,0.9615576864365479,0.9670641138544502,0.9674035351205201,1.1982608611852585,1.1792084800073,0.9785234789675583,0.9394085187848872,0.890118588279933,0.9724404620557036,0.8937281709580835,0.8698304869961,0.9117998269967753,0.7747394221369408,0.6591881008474597,0.6280169301372025,0.5737586713788131,0.6449586772183994,0.8114649873656126,1.1625891598957891,1.4237141624569178,1.0055464856139906,1.15230826156652,1.46791281127175,0.9583336105240403,0.8898646180919491,1.6745207503328265,2.3895789769664044,3.869298795799035,5.576049949113394,7.263876623368164],[0.8614558679595585,0.7117299103820403,0.7796857116535261,0.7500656437132904,0.6674398057735226,0.701343767942899,0.6405100032351664,0.6560159855174169,0.6910791305975993,0.7482305298887251,0.8090117865788423,0.8370508317087905,0.8225906768316581,0.8450870662270458,1.0867819244562889,0.997747330284451,0.9567694222516282,1.011806102845079,1.0453042981302816,1.0103937448067928,1.056044344997306,1.0771291198369821,1.096239421770547,1.2371092208751944,1.070731948912465,1.0518444041296349,0.9429732320537271,0.9370000531542739,0.9596552628077574,0.9458085447691633,1.0730285245598743,0.9912955991163096,1.0867831891267976,1.1073423735717174,1.0460466212387618,1.0352357223994384,0.9660801798344555,0.978368490143475,0.9104921798512308,0.9488934714501287,0.9436283727172938,0.9886547553100716,1.0200899988908119,1.0203656972515338,1.055763488479002,1.4581260642929905,1.239092453892042,1.1460989841810179,1.4038826895048229,1.1643285131408339,1.423071587842431,1.453230272776827,1.193232644338466,1.1363179447928269,1.797285649086489,1.238422590295313,1.314885474523585,1.2260294772580842,1.2798952470835987,1.3825121746915108,1.1447504680216833,1.2628851063349211,1.250073753175894,1.4732178558240847,1.1675548401495905,1.148687088513067,1.17705874344938,1.1116578480836652,1.1853859915865121,1.1841346014309666,1.3482844727138728,1.579800935542786,1.3676863720447523,1.3068480130583255,1.1951462153109333,1.7523255128618824,1.1696143320027965,1.206072440341103,1.1108998225741793,1.1335552064685017,1.0666573808424455,1.040711724457662,1.250960221685097,1.051052262849932,0.9932528508443477,0.9774938425667709,0.9946588361451342,1.027176386564333,1.0485347471989437,1.1359360617183025,1.1583315225538127,1.2607028090028813,1.2270966621108048,1.1853504130862502,1.1198482694440168,1.2495691070843953,1.1655565334493643,1.0650661605571525,0.983292346128477,1.0091535173762354,0.9437108533654126,0.8420020808560505,0.8191963872927026,0.8370981395279005,0.9709929894547443,0.811403306439876,0.9713242026178914,0.7657488633633721,0.8134382473765729,0.8708771619249233,0.752179959986351,0.6873331985206724,0.688781338696854,0.7451051834868988,0.852053421743535,0.8502061223985995,0.903706025974757,0.8528212571692442,1.006355945373671,1.0002546368765328,0.9680861672690794,0.9197761014969715,0.819049934469138,0.7901496613867363,0.7132314129834827,0.6776790406210323,0.7512173193876461,0.7204200790110514,0.7112759116476732,0.7864210399001742,0.7645719785591342,0.776435572318826,0.7493780623505828,0.8975787972456076,0.7441737533868079,0.7306705710398507,0.9798066691903047,0.7422367145443791,0.7984555391839813,0.7451756179144776,0.8277452480809806,0.8460612634139665,0.8897302664658192,0.8466892697514774,0.8578600670456134,0.8689570048278004,0.8094271021916822,0.8158706580558328,0.762638290279788,0.7413579748830963,0.7314290317229849,0.7360636512892613,1.044808384837751,1.5769870205382839,0.9820219563606196,0.8427452649483673,0.8209414296589659,0.7824542969548665,0.8309477185569512,0.7800630350914292,0.784961746359664,0.8124211452554262,0.7973130368862322,0.8311579972610857,0.9273181894933613,0.8212392963817272,0.7652684043969451,0.803126530847355,0.9329907193892623,0.9840511895554778,0.8232336110838924,0.7090496197053908,0.7792983436326539,0.7818338589548662,0.7787970100552282,0.8057871020067777,0.8364893076145206,1.0306469329179537,0.8209111163101626,0.8857916806910552,0.8243023277138618,0.7703823690109203,0.7598219715772839,0.7528507669605086,0.7918868409625396,0.8512853135496405,0.8390982077497064,0.9966152536257186,1.3264304431575495,0.9591046379922591,1.0464985167124092,1.0408887520567052,0.8442785570112263,0.8043971976313887,0.7885104376867911,0.7910623151961977,0.9437059692792681,0.7474786215402905,0.7331265366160252,0.7406168967078804,0.8129694213970935,0.8521442436124905,0.7715250273938669,0.839408840508003,0.9515149165232658,0.9320644958732753,0.902229324490849,0.9872540671831852,1.0898305653747273,1.0573770052901115,1.104193447679556,1.2161374393740536,1.2315858430869953,1.3165283133035424,1.3394880398672022,1.196866294347783,1.4847831516280883,1.169733424883403,1.1149870492551097,1.1821595935417133,1.135837514432939,2.3029423002315754,1.3283947333232524,2.1118717078655522,1.1954205669739735,1.2106312373116426,1.1825349955363282,1.2288707477715526,1.0776093871467425,1.0168517000882122,1.0336266531485947,1.0257403958681708,1.0602166735752572,0.9030614556922621,1.2147063671705238,0.8443836899955093,0.8578419522439642,1.0095650233278177,0.8165477083089143,0.7936914387204742,0.9439588310944771,1.0970464764818484,1.1483325554419888,1.2767243049510033,1.22104750529843,1.101569504348913,1.1592476693168938,1.3505026063864065,1.1194641723783836,1.0909021376547539,1.2176438880082525,1.2252630994139455,1.1652889551928884,1.253649798351143,1.3787027953556625,1.3189136858242132,1.2838267013766838,1.3357159765890412,1.2539169715683678,1.2196314070687169,1.1400521469746858,1.141978280389072,1.1772915821521215,1.0562813011145877,1.0273947827222925,1.0402153990139766,1.0449914655417358,0.9417973781903473,0.9990703175453345,1.0400359094361054,0.9945394983279853,0.8929176202471405,0.9576561911751099,1.080376418503595,1.0702762226193023,1.0485567207252402,1.048443296247262,1.2372423693691303,1.2744635213551394,1.0833810771686134,1.0507381129526714,1.006408139099131,1.067148262196447,0.993125498370533,0.9622974380629795,0.9770974500727646,0.8508506571595719,0.7633887405223501,0.7456096619141642,0.7185425461688303,0.763449590274364,0.8654735044959564,1.1744884087263372,1.3753692520199474,1.0562288761077863,1.1965993946752194,1.4882994950949513,0.9612430290773416,0.9331948110736847,1.6775347869773587,2.4604506504391055,3.906577507300337,5.730634379035085,7.548891027159063],[1.1699046426755524,1.0288807526060146,1.0716259562663464,0.9776926982445524,0.9224771134767761,0.9651045186307061,0.8658487891199244,0.9076220118110156,0.8748131820505995,0.961535727959512,1.0397591686263512,1.08100191792158,1.0965344736498959,1.1041391423150437,1.403926648057821,1.3379436266354225,1.277047909892413,1.3903646649079795,1.4303207376407223,1.4033074939528454,1.4537425595893725,1.4507522365868253,1.476619574405759,1.5806326186507753,1.382336276503013,1.381423962575022,1.2818527419689418,1.2645288439991131,1.314747296033659,1.2942340502891847,1.493672030039565,1.3627582587783704,1.4725338063782738,1.5250325993856848,1.431361209003085,1.4193036672184396,1.2984639507506586,1.3174048028446341,1.2457717512597506,1.2741568829587482,1.256560460522513,1.3362498321376415,1.38186651842346,1.3662159418150237,1.3909591254527591,1.6629439303064404,1.5080335426269318,1.4653221469908702,1.6510783661350876,1.441309031089068,1.7712700451111911,1.6199017590261422,1.4849617981395902,1.3945505402278795,2.09925231195005,1.5988419436042116,1.633021926853067,1.5652752413914661,1.6274968792973006,1.7002129602436062,1.5025876662506528,1.6537934007989066,1.6453493498376468,1.8847879619579417,1.5791024050638325,1.5276542271011493,1.5940724003666351,1.5201535391236567,1.5477322079996627,1.575849194775185,1.6433578462544478,1.9249808207142634,1.753807088617495,1.7019536623018463,1.6244946989337716,2.1399917839983518,1.6071882328729472,1.6481220991089327,1.5236923660238406,1.516486331728566,1.4270660042012833,1.347589233692378,1.4838195016075584,1.3774377405303058,1.2722575090472636,1.26832024806875,1.3393446081141174,1.364438897456371,1.440062986657353,1.5355895969987208,1.6049507597471078,1.7295285702656986,1.6964264062561425,1.6500030260641405,1.5498965527925368,1.7256763887359838,1.596175557335285,1.436687702778066,1.3057828136139031,1.2733485302601704,1.238317943352934,1.0850876349145704,1.1145796452982397,1.0947148382016394,1.2218358638818432,1.1116281357516538,1.2294299005293934,1.0850240189259952,1.1166438018041236,1.154542403221007,1.0342385625386565,0.9458107925082216,0.9221763185070434,0.9722897819130792,1.086699804339247,1.0827950015278105,1.1684147170959824,1.1402919191437955,1.3402823456850976,1.3476253070122548,1.2462207967846752,1.1588164977101723,1.0225448158924557,0.9932882258551784,0.9140317335563414,0.9091997128822588,1.0087169045246347,0.9668681283516554,0.999257681710375,1.0702434197437596,1.0328080472168921,1.0770372889066342,1.0247652166255208,1.1680986444344137,0.9953518448421181,0.957894724225685,1.2048510455386308,0.9828019182770892,1.01618777605632,0.9935298625558163,1.0712777749500884,1.1398028196820793,1.1798554200371782,1.1439725503219036,1.1693122395889237,1.186255980796007,1.1057739996105795,1.1056443978237052,1.0402200239425312,0.995258591768286,0.9863243369502672,0.9875144296742597,1.2172209840246209,1.599624190701257,1.102577993566911,1.0659265258929105,1.0568317657612862,1.0395178183213827,1.1265299931669581,1.0439265577555281,1.0829712895608716,1.1371741933664903,1.0822387607971298,1.1348364686868984,1.2448324530138786,1.1280214809783626,1.0226366826461852,1.0131322253719075,1.0567524343856822,1.0966201741474417,1.0008447091377235,0.9585184724323327,1.0716835283235788,1.058046957202217,1.0581607096369987,1.0806416028748345,1.120160808152606,1.201716292608912,1.0810653142830926,1.1504399223539934,1.0823888072479386,1.0550478924377868,1.0500102790506207,1.0468557269889875,1.0806214203356332,1.1824236226789173,1.1744839516659464,1.3499762741617787,1.4875153051938836,1.2287467486877448,1.2508316250266982,1.2455210810390343,1.0689823943546075,1.0303801269203823,1.0432587161524995,1.041327989991384,1.1452495444908464,1.0391239942725938,1.034146959331275,1.0470264507814666,1.165720468782054,1.2147949334861456,1.1054584264004417,1.1652035219477923,1.3157724360777663,1.284992678953218,1.1674395192501965,1.32303284806695,1.4746062221806162,1.377916253996068,1.4073424585648562,1.5682749228558344,1.5826504181529013,1.5956048690912343,1.6285355195662223,1.4518709518059378,1.7962086959810515,1.4534999687271724,1.4391590521385675,1.5437360381292706,1.5114342176820632,2.457781505948048,1.6628558014840984,2.4627147082746377,1.6055738941848483,1.5904273305781185,1.5448433225560556,1.6010396360956325,1.4394515216033992,1.3830846330274187,1.392763510856691,1.38934576937212,1.3776117244176926,1.2267803070195533,1.4598876330183468,1.1347280040537457,1.0828757768957227,1.2101122204310777,1.084861275008206,1.1157037344227045,1.27844940101861,1.4593375000054223,1.4981008570116203,1.6467321034156521,1.5520728537137296,1.455001899159374,1.5521090759325737,1.715384223826407,1.4825802583890273,1.4683260648441883,1.6257418560042787,1.6332620765019166,1.5542075631686436,1.672784920763199,1.8182350152331237,1.7309641063143613,1.709536031032108,1.7847961300053643,1.6658997365000265,1.6427449680306452,1.5497257503818436,1.559615723771711,1.5979215857336397,1.4456456245432199,1.4230911907235804,1.4389167677586001,1.423876018316658,1.2918093318749535,1.3669797452862646,1.3794705862702754,1.2909361782554494,1.2161996950684937,1.274302622418258,1.3451150674042964,1.3098747937391215,1.28429369595993,1.28640845541823,1.4309139051644912,1.4758023494437118,1.2806689853526627,1.2888575194328866,1.2470407417684328,1.2511471767229487,1.1815771310092318,1.1511939460844869,1.1615361559314714,1.1075898636407118,1.0181543454621262,1.0401272102816592,1.0047771064879807,1.0368777128405378,1.1731268454772281,1.4692795679274877,1.575563239113151,1.3182906903493583,1.5037957043882373,1.7992367059650036,1.206555857452146,1.2179286592857208,1.910192217579725,2.6867636357901663,3.9936332836976605,5.8908858372334345,7.81560116163461],[0.7150104873435567,0.5592590079209535,0.6616600568117271,0.6298217346391269,0.558960030651747,0.6100427845287117,0.5441999329359993,0.5847105523031237,0.5752078365997062,0.6629646966169609,0.73112742247327,0.7572132195648651,0.7512640823262114,0.8066082713540368,1.0644611869586655,0.968025935555405,0.9487044511586646,1.0518243301549226,1.1193709892149875,1.0712697068839219,1.1341585598146735,1.1180985922203996,1.1794954025036766,1.3110488614467832,1.0794326768821372,1.0799457780071777,0.9663671566653724,0.9211551944713824,0.970222406968521,0.9385405228796437,1.0968481732722424,0.9741623140313621,1.0977584163272107,1.121802255204676,1.0556571278889006,1.0436186287655318,0.965141022352818,0.9941843786982495,0.9235717044858531,0.9732686488344924,0.9482366113151387,0.9951701516182959,1.0414768478241963,1.0301000906274758,1.0850831096211557,1.4008637838682465,1.2346487717200632,1.1730220989233828,1.352752551414026,1.1566148728175782,1.4957459867813863,1.476045378146771,1.186756162493721,1.1382798036738115,1.8424204089568235,1.2635466924332794,1.3170611981639837,1.2588383225840405,1.3218182012642017,1.4059183801776205,1.1804833955316378,1.3156279175514674,1.2834961869495654,1.5841432115755467,1.2724108475583535,1.2019161390728903,1.2821418158738245,1.1871894860835117,1.2691386502297297,1.266686192735113,1.4653179638576672,1.684078221908846,1.4192841874598836,1.4036670203732868,1.2504711313688621,1.8466939484899563,1.2372976633045853,1.2296670931461904,1.152039200500711,1.1664233393712653,1.1094376353819666,1.0387634811856763,1.2533745013196576,1.0723936798068354,1.0059146399097938,0.9738227285093939,1.0023707032903106,1.0244983251387443,1.0787425795835934,1.1622925312056875,1.2033649631774717,1.3330996203449275,1.2688978416811232,1.2041902707458159,1.118952286752665,1.2542366581008426,1.1535189239088381,1.0011087340231661,0.9025188723225126,1.010895652461673,0.8977835636210878,0.8449757884832538,0.8141440517998086,0.8509751432045335,0.9888383040261932,0.8212999393604328,0.9823404553684271,0.7607558515601087,0.7642834019315274,0.872894373510372,0.6946845182693734,0.6326044663539536,0.6050079378040756,0.6764729073524391,0.7915429500015616,0.793967241148663,0.8475564816886126,0.8247175117870725,0.9924717548914908,0.9766658961359924,0.9341144422226888,0.8717025499510597,0.7649197339413936,0.7453684225475571,0.6373505591607492,0.625465255609639,0.6773386550935392,0.6464185175055175,0.6524573702400175,0.7560635921465276,0.7142148016460649,0.7729803982401608,0.7102627333518876,0.9048659255609619,0.7191602393693592,0.6764967988153265,0.9037880817808813,0.7048008954474421,0.770550006899849,0.6997391056960672,0.8087461683970604,0.8478046272304761,0.8877435623826112,0.806706173208055,0.8368102142731596,0.8539979505230855,0.7807253183863235,0.7830408760393394,0.7279915727152338,0.6754236587613333,0.7067479496982146,0.7388510949129861,1.0747105955892196,1.6030072345562776,1.0132828910198488,0.8321809632331527,0.7587405396002717,0.7578092230121228,0.8230751348739614,0.7699863403233151,0.7661895826158014,0.8212039555996168,0.7586406048863339,0.8347793005756869,0.9079297949191113,0.8449136071896102,0.6978975390852563,0.7216004393387001,0.8249623704946479,0.8921178631680573,0.7288631231709118,0.6670164029653982,0.7348869362440343,0.7518054449436954,0.7655618136009044,0.7950454437922554,0.8278528563001779,1.0283465517650532,0.8126211019336175,0.8842316223424759,0.8220200303725229,0.7609092866716398,0.7562514871851391,0.7462992341391345,0.7795820509600168,0.885275205701738,0.8633756476808657,1.0612921302140161,1.266206505242359,0.9186372634722827,1.0067404663837396,1.0256570340756364,0.8309939932313416,0.7896413533063132,0.7560178037248529,0.7380858385825092,0.8437389001894109,0.693582092372449,0.68583071768706,0.7273781981330623,0.7800227425793524,0.8363335725356423,0.7324931068592166,0.778823385713788,0.9088652588094562,0.8851313029479398,0.8234952663248819,0.9121991866673954,1.0384936639940978,0.9734155488289155,1.020920715699996,1.1478439856123186,1.1571317314369758,1.2069171461247914,1.2612941777003883,1.118583098750301,1.4368390592022073,1.0978106046401652,1.0474374784061726,1.123595950053284,1.0839227187853158,2.2528165578345227,1.317021308169533,2.134735053589324,1.1859695721792343,1.2180653291422723,1.1937561534109442,1.2359700005526486,1.0552612886862978,0.9771697887814232,1.0191916603830606,1.0102649253849552,1.0120424204441203,0.8634164705974915,1.198898144176151,0.7923583463337658,0.8289686648397918,0.9936256580996159,0.7822066252411479,0.7810314818469869,0.9421285707906508,1.0881111386521374,1.1733098982392536,1.3236815548497172,1.2682777870455941,1.107456578144468,1.1896088870600894,1.4069727842979864,1.1443973907550253,1.0885982034998825,1.2362740843451605,1.2385740195122303,1.1409664563054782,1.2482730682378622,1.385903383432263,1.287037779749907,1.2447834034624483,1.3192258554574186,1.2226721776600378,1.2085068024910175,1.127670822299115,1.1324528128487485,1.1560011295049315,1.0118901490403365,1.0016499228806357,1.0006434551700232,0.9901954987658842,0.8833284357303791,0.9496708671362385,0.9866338362147311,0.9304682171481362,0.8348098747944147,0.9072738282188627,1.0053059046901713,0.9807763195664156,0.9755064128381676,0.9660724280654336,1.1795038224984515,1.1985133658674163,0.9903451306442749,0.9573702876369571,0.9048805174789064,0.9919603317797513,0.9062014025938874,0.8808707034216829,0.9239056673017245,0.7849244453110444,0.6946730438608256,0.6815810359115334,0.6438408737487692,0.6820305077705285,0.836460766464688,1.1749402171257626,1.373446956853874,1.036642289361868,1.162755345912051,1.4736659054481738,0.9377681866317674,0.8756519993963556,1.6641322032047097,2.403759800661591,3.813830330869413,5.610434704904707,7.449571139209322],[0.7557578262064114,0.6897091515383034,0.8459616165690486,0.7214432541387087,0.6579280397486044,0.7295675812721706,0.6384822944455785,0.6930460428447358,0.6432100593593799,0.6456776475793812,0.7105767198171916,0.8286598844954881,0.7760031089839997,0.7257364438924234,1.0082500246380446,0.9584888653175293,0.8888349260150393,0.9937669156553015,1.0351553028935276,1.0223702547255333,1.0789437531858699,1.0768129346243047,1.1303998331431473,1.220311369876347,1.0085843655289763,0.9965109695018489,0.89634474073903,0.8512146818979304,0.9344176238204056,0.9530983625366073,1.0980447762047878,1.0489658171908802,1.1863184477683415,1.2085772891662436,1.1207616766321424,1.0574964206171606,1.002563742941183,0.9898082878809435,0.9130545767748479,0.9931594518248837,0.9195175315952789,0.9669852952426446,1.0366511864465555,0.9964176699604823,1.0518704265443604,1.4302723366730659,1.2536694094659995,1.124972302189333,1.369648896272507,1.1601546741883488,1.490593197380276,1.4501594717296469,1.2342365827902986,1.1845251755915205,1.897511884167048,1.2975944830934778,1.3245007709876144,1.2754210376311297,1.3453334900883538,1.4136147130746566,1.1960653243367605,1.336285881294353,1.3107636219553256,1.58588334291442,1.25340873354877,1.1815932044754607,1.2607973929931278,1.1631243416747312,1.1931062546064726,1.1901650576546554,1.3654762447246693,1.596380459078346,1.3675786966089363,1.3669418305719743,1.2388239213400556,1.8619905943889512,1.2545075805743549,1.3012078259057598,1.2103361720119785,1.216480402574994,1.1566506178851481,1.1130127556222127,1.3562248662301133,1.1575888706733464,1.0513020220146623,1.0247247892834854,1.0393399244835184,1.0800959607568477,1.1056288051487762,1.235508237196505,1.2440135784202104,1.3963746099060752,1.3140592710220271,1.2706546710081856,1.1341746303584421,1.2691112378552674,1.136287193720507,1.079628027636636,1.0130144225744269,1.135293224924631,1.0363233183196192,1.0201818370737294,0.9537128203789798,1.02734523576877,1.1601068700514099,0.992925228491379,1.1758274709655852,0.9561212962596599,0.9237488043490061,0.9832663554212732,0.8394272531285707,0.7508209244665609,0.7069313235284146,0.7353006355877851,0.7615098728920409,0.7201031998217188,0.7652339750389664,0.7030256563278485,0.8760982927685578,0.8752560139593665,0.7969763145462014,0.7524132619700474,0.6439040641348122,0.6456458097706699,0.6264887350325244,0.6459627234434369,0.7835260734031726,0.7418062877694813,0.7738861088014528,0.8741663422803634,0.8414648709941509,0.9246686128888356,0.8296654846208326,1.0279005054743107,0.8287800144680414,0.7756996557188712,0.9540137558106606,0.7073832075599186,0.7487269491436926,0.6852942828772246,0.721121201378609,0.7659052521318308,0.8005736261339221,0.7573775553420098,0.7866155222122119,0.8152501156090106,0.7571077076103934,0.8129238348616707,0.8031203322567311,0.7692927628450573,0.84286782855674,0.8617757153483303,1.2093311698136957,1.666691673276268,1.0645029459312458,0.9901501903917154,0.9046125869773959,0.920795108128377,0.9343987246751547,0.9015548002075745,0.8330795491447588,0.8538491156986129,0.7594279469116895,0.8524137835016284,0.941513640952686,0.8196097486168649,0.7567302202815914,0.7604410525174626,0.9427321935088369,0.9659553610214631,0.8243112722529855,0.7090817988636886,0.7911034589867937,0.8295118498534254,0.8506979890538063,0.9191609745867514,0.9208911622163365,1.1381060377127206,0.9234920084930864,1.0353454774448638,0.9057814605162768,0.8936956363005462,0.8855691560280082,0.8507668174051478,0.8593738013511099,0.8991233781020191,0.8881770540478179,1.0419711101573375,1.2756330992230496,0.9270370227434854,1.0280266723528444,1.0690890783414886,0.9199956827931755,0.8990201877171817,0.8645051059524018,0.8470095726216837,0.9672222075680906,0.8563997413584771,0.8502776795311131,0.9136799362458117,0.9649184524592279,1.0092452543082286,0.9064483717298111,0.9560864512593336,1.0730780276910754,1.0379444778595257,0.9712536130062007,1.0847550553838365,1.2076608838887015,1.1249585709967187,1.2036673004700917,1.3349830163891125,1.320337590356127,1.3449121008319105,1.4351083633216566,1.298610095785953,1.5882592553061876,1.287027730161459,1.234138902621653,1.308764402892749,1.2920177438166518,2.3794629708079675,1.5046748455333876,2.193283694216146,1.3180235921484154,1.3750679652307063,1.3619190502616485,1.4250996425635079,1.260867600922179,1.1489821336170598,1.2187273836870849,1.19228108380179,1.1953691605480372,1.078209450739577,1.4216310136487986,1.007099401527162,1.0141604824553474,1.167000980408146,1.0055771737399222,0.9708476329691738,1.119367619256348,1.243524841855849,1.331881926648841,1.46672664350797,1.4320616004588058,1.271956117791488,1.3491163020351677,1.5436560938001893,1.305356521534944,1.2688174446956824,1.4161720250255674,1.4081125710177913,1.3099058047263306,1.419916682082943,1.5359466020879158,1.4301245256961084,1.4107156990494298,1.4798050683020023,1.4003055091558598,1.382279836383949,1.2979031676540906,1.314385338544679,1.3414236431859943,1.194410108838503,1.181546593652249,1.193892597323651,1.180829117608458,1.0566041040401195,1.1228576714820424,1.1751186915102714,1.1289381153812392,1.0107931343083827,1.1020774758485432,1.1967920987006457,1.177767052447831,1.1507853126310645,1.156166864475039,1.303370041161795,1.4121672840680763,1.1670613772643805,1.1264711380830272,1.0567748131172767,1.1089233549846378,1.0338173175342384,1.029841038439765,1.079479140986717,0.9625285707186136,0.8274604159993656,0.8344705200374337,0.7531925081957618,0.8128390728920747,1.0365599025233876,1.3621671403640971,1.6056394656805488,1.0717357865906518,1.3222670755603505,1.5432836353217232,0.9748624493807807,1.0172509792597157,1.8366563784750372,2.321522453846688,3.5484095274391336,5.1266231266958435,7.016418694692408],[0.6869424291564802,0.5537996928864758,0.6658079136768709,0.6194244207647727,0.5260225066397067,0.5963992790868097,0.4900285274635018,0.5177763415681794,0.4938828473702768,0.49885905170424344,0.5335028358356462,0.6010079845462466,0.5565065224955202,0.5671550801362334,0.8404355324214495,0.7662799692773974,0.7139169399948085,0.8287141925010665,0.8827781896261996,0.8568693536668172,0.9300506736803602,0.9189603378934172,0.9919638809345562,1.120358362674069,0.884222603276319,0.8794924333914089,0.7511553922600505,0.7142451196073258,0.7596206849990568,0.75357576509865,0.8902266316847028,0.7853994407426929,0.9696879831570874,0.9634352476167135,0.8810694991612084,0.8429911132120319,0.8031805723035417,0.7923171762822272,0.7188476174776063,0.7829954642461832,0.8034072305947307,0.8094204707782726,0.8452863135821626,0.8369960977668289,0.995295471095819,1.4324433940892627,1.2491016276626794,1.0000208258343393,1.3292861685754815,1.0518190113889,1.250324891791107,1.5262639846196886,1.0515286724683808,1.0737535629432418,1.7025120695977762,1.0624005274180623,1.0994659142464802,1.1325125230755069,1.184961723263606,1.2403851519209759,1.006528034633231,1.1027838876809775,1.0891094945628055,1.4214807745948053,1.0767900646297242,1.0174280831572944,1.0989441179494333,0.9798281640757154,1.0797714212494278,1.0305841205146098,1.2710731273255764,1.4971922666201696,1.237792836675644,1.2607284964552499,1.0593650652239601,1.7286396025483344,1.0582479356474712,1.0638059128787216,0.9753017381456265,0.9930674415241053,0.959123379651395,0.8953212354632039,1.1427284323781992,0.8972479983791144,0.8794605902815081,0.8214770356809119,0.8255897879610958,0.8994703794179585,0.8841912963843194,1.0039263029244512,1.0177996744200624,1.1351257167314401,1.0719232636317466,1.010880509459163,0.911445914768277,1.0229047132515094,0.9005367235301629,0.8393623261027656,0.7593668227426331,0.917214120319865,0.7774964566543336,0.7584704034468073,0.6975310814858251,0.7330560097562789,0.8264663225393886,0.7076096158316547,0.8881128891912659,0.6503915060051034,0.6950823261964414,0.7917778250158534,0.6316212435271497,0.54122593531917,0.5188683109747858,0.5411800708261505,0.6253087222602036,0.5893777192595026,0.6336397120307374,0.5990882122955219,0.7489643927740427,0.7285814690361311,0.6785733665215771,0.6246716909529666,0.5633376543830116,0.5629567730972546,0.4988939158825131,0.49609057234269616,0.6136023460987509,0.5719915263314195,0.5695353813100311,0.6366054567538192,0.6285012511080943,0.6696094774494649,0.600827791362564,0.769958770927229,0.6074335226711614,0.5905493311948204,0.8313337079104474,0.5684490773405834,0.6173848112080268,0.5169535300987443,0.6170410338629206,0.6927375837904052,0.6614787679749322,0.6039923166170449,0.6349287926641896,0.6552319928648022,0.5832976259470709,0.5987286104630901,0.5672329920589088,0.556957468064626,0.6218680494578842,0.6792507566846714,1.0052637192568543,1.5801175412313384,0.9916608098482164,0.7524207963163556,0.6522350809530448,0.6534475838374628,0.6634928596562093,0.6229819401694012,0.6053241665965989,0.636987425859462,0.5695647252485276,0.6388635631819312,0.7363014358259128,0.6768097460977318,0.5820733993758429,0.6923005165702575,0.8525039613752089,0.9079956641115943,0.6966174082949436,0.5399247002398826,0.5987864485273697,0.5854415236041796,0.6004771830248231,0.6567803323065966,0.6750001762529575,0.9286387392846858,0.6797075856464905,0.7283011675243803,0.6809417629437974,0.609521962108192,0.6028696334044279,0.5952186409104748,0.6174947463042516,0.6843705138312698,0.6685936279993897,0.8853889113146565,1.1668607212077813,0.799390228349176,1.0113435019485009,0.9443599809145239,0.7306627091355317,0.7024742201253484,0.6444347561059558,0.6782307087415906,0.7958061636330038,0.6506152624737629,0.651805967157909,0.6713416422095358,0.7287587831504896,0.772645773941301,0.6829209290131295,0.7529648934098084,0.8599437772420112,0.8494296560909086,0.8266258193231311,0.8986864630219512,0.9850933818926135,0.9482347034416145,1.0187067316610174,1.1182244280601765,1.1135390764449264,1.1833087813584262,1.2547720268404554,1.161697138104736,1.4178616799597343,1.1463351096519456,1.0524524673928326,1.1111757151893593,1.0763381899446496,2.1867709052713886,1.3018442563637787,2.018396931153856,1.0800392497179259,1.1181839596485323,1.1098220958835945,1.1631434324653498,0.9946072511650024,0.9495261984384974,0.9905279950482643,0.979034105384987,1.0249615230135543,0.8624423758836374,1.144707434506185,0.78098461239633,0.830581689604542,0.9591415263877724,0.7537997225720121,0.7133352733504364,0.8815036085854905,1.0479332245902346,1.1171398063719458,1.239590136861517,1.181528522821442,1.0559221588074883,1.0961547970971663,1.3058948487978692,1.087597206587521,1.019245192902419,1.1437241548486783,1.152604793924643,1.0623436756289852,1.160627046464808,1.2915590724829233,1.1887660454124378,1.1604826418178622,1.2125290940066122,1.144817649310394,1.1186973771347228,1.04589210613364,1.0392889452694727,1.0795313605641237,0.9666491358171172,0.9427862066676731,0.954013692753614,0.9636993175006437,0.867437342739504,0.9273876895609149,0.9924333543836354,0.9578448241383333,0.8347635838638571,0.8951079141547666,1.0722782176966366,1.0395842161597662,1.0491375711720705,1.0535503829902175,1.2575679670205997,1.3413354381901577,1.1050119455214855,1.0131575346458799,0.9501924579885856,1.064495548932913,0.9912948595928829,0.9791084040965525,0.9940133993252042,0.811530965519407,0.6864535399802439,0.6384145859960724,0.5807454319509837,0.6490906250210211,0.8235084678007291,1.1606140981324424,1.4290394569808336,0.9627957468618829,1.1529909072558198,1.4182435430598368,0.934805682079946,0.8917658454651896,1.670118901058544,2.1135944655782715,3.4157120477808656,4.914681481858732,6.6246314037102],[0.8795810037950972,0.7308002481094716,0.8139244278807293,0.7423638449919535,0.6878736374239363,0.7848242787040605,0.7464354259812236,0.8702053779458249,0.8030394655526631,0.8257868980781038,0.9044978308575558,1.0131321849915398,0.9497590438292742,0.9135316013235447,1.1713969600755278,1.143269619312139,1.0726205042668961,1.1967336952416427,1.233497099423049,1.2339336266426364,1.3310973040003118,1.3137152921329132,1.3877191030385494,1.4158517267995772,1.1960056835883497,1.1923568563559916,1.1063790429901788,1.0448326639307932,1.1343705146826706,1.1300138345783717,1.2754238491729635,1.18127363911392,1.342615209586992,1.3699977862434825,1.2749594176498515,1.246964474840579,1.175097694149319,1.1855486221615243,1.1072430647030846,1.1743009168428893,1.1803407512746638,1.1774329529421728,1.2313932620518422,1.2000726235674146,1.3020166384608018,1.6400717415176036,1.505176712404667,1.3104073428999454,1.5740039188580162,1.295049752127303,1.4896407355478527,1.7707064620236577,1.322245327966245,1.3550715330278387,1.7419303562247863,1.345842862185918,1.4008941977217917,1.399427976440748,1.477830809146143,1.553504845927081,1.3609859476111337,1.4394273870382739,1.454999826543848,1.78753767115646,1.4674213550639088,1.3940188072511148,1.452410612990449,1.364519794525576,1.409407352734449,1.3629065303111747,1.5216984006265293,1.7221041684439542,1.5392595822706616,1.5980159507381717,1.4491775827172741,2.099798442047804,1.4673364737620778,1.4467259280670963,1.373864037514639,1.355379456012154,1.3315325880921784,1.2173184591185144,1.4384899985479724,1.2524280340827416,1.1805715205684821,1.1733240963243294,1.2079033926796552,1.2866638716671484,1.28904637770284,1.4296720508233884,1.4083956201738232,1.5507224451294865,1.4644365113123075,1.3986709941618092,1.2780824911853716,1.357989667552698,1.2218785133130077,1.2187266894848712,1.134982736542464,1.2552968203747077,1.1492034188123532,1.113831301905137,1.079700592973398,1.0634425434881343,1.1203455313417694,1.0446609782631382,1.133842504360404,1.0035183094000324,1.0050572799178572,1.0727396347350908,0.9395818814015409,0.8738079685304125,0.8429659611741073,0.8481094030499108,0.9016066253034702,0.8515882254901334,0.9155785038050881,0.8733853338926385,1.0276196439363046,1.031268740352397,0.9543112245413958,0.9360022051455646,0.8000078658069827,0.8150533343227108,0.7638114986898918,0.7725626385554981,0.8278546694514953,0.8320228454005021,0.8596604869850525,0.9590967156180831,0.9150291230356518,0.9706564552991863,0.9119811286298054,1.0525352607590075,0.9307487536672765,0.9047703449665093,1.02671863242326,0.8069675306566881,0.8130961836521978,0.8075887795111228,0.8693842794504361,0.9747073094243581,0.9652633601362123,0.8914798320356452,0.9716229806213802,1.0174083756197678,0.9210281307642751,0.9454750726951993,0.9303292696428721,0.9057281903057725,0.9882989806654513,1.0207989440939116,1.3398330413392265,1.6894382613189918,1.270890235889869,1.1096207318770346,1.0172509708046296,1.012068319549485,1.024337248789521,0.9722934390746213,0.9464447805292845,0.986617461269088,0.9126573871869411,1.0065036640410214,0.984050903187464,0.9409587819437928,0.8709490246929716,0.931490282337973,1.0709591856852474,1.107553573393371,0.9412362959790499,0.8520472357141458,0.9229016632203796,0.9476232217102954,1.000521020195218,1.049477020240171,1.082546048759554,1.2436937292577912,1.05978014968501,1.094048632737633,1.0690102072654608,0.9771177750079972,0.9701890604595241,0.9606995256584049,0.9627328088643067,1.0452740379588472,1.0219042719299312,1.2151380657676276,1.3431416292070735,1.1113135146233233,1.1871520131211493,1.2117542370397842,1.0350315045238325,0.9976798187281959,0.9253914282317084,0.8897811388979018,0.9466661774093379,0.9071066282595968,0.8753102650523729,0.9348697769610889,0.9666635876480456,1.022634043897111,0.9197669420147647,0.952965131280302,1.0816127736337944,1.0555112309536883,0.9732441269324558,1.0690889657576375,1.2044831663048,1.1109200595450064,1.1729832422950945,1.2863334011962972,1.2676541207788037,1.2866303520690516,1.3891037457132134,1.2820771271722995,1.5615574955998033,1.2598905221428063,1.2086033312030646,1.2919236178025122,1.2855883925351415,2.333124750940157,1.5218311751315472,2.121942647624198,1.3153334556099257,1.3629296679153968,1.3798457598396787,1.426290748851199,1.2620002694275998,1.1556299363912508,1.2091404555763468,1.1572231831269606,1.1671758762878162,1.0259667005449908,1.3296538314883197,0.9413255831406474,0.9702504628414712,1.0553678682322005,0.9277611266859473,0.9856011124682093,1.1269888020979641,1.25690099319068,1.3531018470957241,1.4828510696162793,1.4347223525818826,1.3004178661212549,1.369239935337099,1.5600679257210603,1.3238767302678789,1.2729192122994415,1.438000469637319,1.4397129427485924,1.3224120698165487,1.4409794256665829,1.5704225749244949,1.4521810063579432,1.4052668662087737,1.4880654509125593,1.3946826592370438,1.3781161923509377,1.3092100027982745,1.3056543769943296,1.3231062633391988,1.1894996226316337,1.1776511472106836,1.179053343175415,1.1616827520946733,1.048350130562683,1.1109157017479923,1.1668769086311257,1.0924120197384461,0.9677427148424007,1.0493303375817826,1.1617055492989248,1.107888387743586,1.1153762883734397,1.1467007163876177,1.260788663942633,1.4287570383786494,1.1720796600196917,1.103908845884584,1.039024532334761,1.0930035288956914,1.0336594422533047,1.0399168859964032,1.0374843725400156,0.9582419997158007,0.8511766782425252,0.8685565759323375,0.8227942281940798,0.8709200106788747,1.0610028871371397,1.3134033822848026,1.5393107027153001,1.2601007199480452,1.321825096321855,1.5536419910143358,1.2121306624243209,1.0401695877184853,1.7439288717063752,2.0813822310937864,3.181283995555166,4.59468789092099,6.3519984303657],[0.6028200914719442,0.45755559903514326,0.5688263666994583,0.4792512677526994,0.3909056031336419,0.4914292247385292,0.367267396259835,0.44276466575107665,0.3893716985774368,0.3663152765775361,0.4346528580196723,0.5433752377415817,0.46841439229214066,0.47173086122019475,0.7668079535507779,0.6987613193736083,0.631636458330928,0.765166497662668,0.8417427787830553,0.7999498964003633,0.8785631298870143,0.8737893674899453,0.9496476735515511,1.0695807061397489,0.8752084002129009,0.8471570389735281,0.6813571710057567,0.6276181399390588,0.6870975785718647,0.6949658489247289,0.8392165667082224,0.7387776932583823,0.9412673706504345,0.9292311508810153,0.8369864634954353,0.7879848693274917,0.7470882957955527,0.7192725226425238,0.6365037955649059,0.6978182282256737,0.692224880469517,0.756101374407371,0.7890839220682428,0.7915536185486607,0.9905344606765712,1.4631724752150175,1.301440117274198,0.9614515932556827,1.2850422234963659,1.0693722480929935,1.1940387282679894,1.527538601580048,0.9795776154063349,1.0470297211993769,1.658465204755515,1.0064772211114386,1.0363101036124747,1.096764783860946,1.1410149740670625,1.2342459692857024,0.9878805493806857,1.058353275850967,1.0497300591126022,1.4013873494630933,1.0544147109901514,0.9819200663307804,1.0819654196365385,0.9485260370818299,1.0442629822169611,0.9934959455931076,1.2138754929509408,1.4702656889447627,1.210480160015251,1.2758560500944858,1.0267029839184758,1.7193992612562639,1.0270671886868439,1.0414525435331337,0.9398807224041823,0.942835351686696,0.9097235060215777,0.851411832331109,1.1457478023782108,0.8148089908597315,0.827291508825613,0.7571015103556142,0.7645843555328293,0.8439197102532976,0.8354074849586215,0.977492023265912,0.9831973082834969,1.1070879360682486,1.039383635462462,0.9740237571712378,0.8645966970980081,0.9701130013724832,0.8268202334892125,0.8037505592689572,0.7271021584469836,0.9015603514261195,0.743262152048457,0.7393817818084736,0.6479324415462804,0.6889540475735553,0.7761152586430331,0.6516567245818004,0.8762117421685769,0.5994093398785494,0.6446655719257268,0.7416649340929264,0.5590623631177166,0.4394609010570232,0.4058934346117889,0.41155266013411723,0.5106880818816468,0.45540394854501426,0.536791950112525,0.48346554462217883,0.7013017951366743,0.6747928024908817,0.6000897730472478,0.5632103689716974,0.4395946283042514,0.4242707633136181,0.3696684791039809,0.3577536524465501,0.47543649289892337,0.4589145103803842,0.4659251019007869,0.5433600986190522,0.5484711297462438,0.5881553146539387,0.5058629942481301,0.6866801071935641,0.5188976220330831,0.5143775965036331,0.7471636277962566,0.4273947205190434,0.516871977528885,0.41957978523935074,0.5211711294335893,0.5799030969722533,0.571758100377616,0.48813680991290415,0.5135956400748284,0.5534504593345994,0.46263048233976867,0.5182607548119665,0.4806456258348906,0.4782723437003068,0.5726678284547907,0.6197099912353827,0.970045206504449,1.5191834138408973,0.9508202104022639,0.7149058691487794,0.6140458285154977,0.6142336824059045,0.6187648453770707,0.5613167019590045,0.5038711151367425,0.5442849151640221,0.4471132785308352,0.5271730074995642,0.5762059606612876,0.5716789410004028,0.5054554506227886,0.6737514895408988,0.9007749309133135,0.9226632978272894,0.6686545412435949,0.4190618062704032,0.4984608519258964,0.5089004649882822,0.5254897999887528,0.6075419553049235,0.6269650067599762,0.9049609617976003,0.61928989814384,0.6888266580069426,0.6249431325356689,0.5426709143220543,0.5280026211419784,0.5240034576124651,0.5493967194340988,0.5995105873617897,0.5787808167776057,0.8013149860241288,1.1941087372596138,0.7413540544459865,0.9784907855209709,0.9068700468511726,0.6921303789210038,0.6601116912053611,0.5606486848276724,0.6087969812474116,0.7294879568419121,0.5865949653283844,0.5937670755974475,0.6332153950091962,0.6683274800415342,0.7036928182430489,0.6109609698413135,0.7066515978184741,0.8053470295629591,0.7833934674149038,0.7726147777161478,0.858345235353081,0.9357479774355302,0.8897429274079115,0.9925891420106912,1.0935917372958712,1.0592098111494914,1.1315191857552087,1.2486638861612542,1.1564023708772446,1.4061902332512088,1.1677680184320551,1.0566776215738947,1.1009284084531412,1.0781938951726486,2.087722227363883,1.3711252823514142,2.013783701120838,1.039845486716961,1.0799013222370886,1.0679879597460367,1.1085064858360623,0.9543166272099474,0.8737316889739254,0.9151303520397334,0.9000170367353673,0.9900985025346202,0.8063823714497828,1.0679364397340665,0.7662299571117523,0.8111570927338182,0.9714416025072026,0.7355479545454138,0.6558010364345738,0.8036222134329489,0.9416541906013335,1.027340349074543,1.211055758586814,1.1208870650089278,0.9850889335375964,1.065048768598987,1.3066177023344296,1.0460480096574012,0.9780060650599748,1.141258008829372,1.1518506320604827,1.023988577450329,1.1442766742858508,1.287012881187917,1.1710762975374858,1.119628078808659,1.192331942676112,1.1154600352327337,1.086855981303505,1.0020870153861925,1.0091517085031294,1.0636543432528278,0.9346203524846539,0.8939291242304914,0.9315360673277047,0.940006306224667,0.8222492097462611,0.8924124669392476,0.9892352592828597,0.9410109806979325,0.7985129994784427,0.8906209875507101,1.1324903492341456,1.0738138300561175,1.0852697133839329,1.1121526943755051,1.2616106942746752,1.4054297942331748,1.1214764194013187,1.0103261507737058,0.9171482679315391,1.0353243173248816,0.9888491540042137,1.0048475758316764,1.0045833346404043,0.8038998443692138,0.6421696461959671,0.5754463667524545,0.4818900092791785,0.5583650367433485,0.7707961891407085,1.1096704907950705,1.4317223713659348,0.8925973546925711,1.0753373016370518,1.2839750749722003,0.8791273733480349,0.7991989979764913,1.6040518481937185,1.769126042483743,2.8526894729397743,4.105252608389639,5.682335689073106],[0.5855177079560391,0.4558875020844176,0.5431135528825861,0.49914362653828787,0.38352525341895244,0.488204552358146,0.36705866231363216,0.42675138597132894,0.39188133111590234,0.38346455516790917,0.4388207458106521,0.5450299216541598,0.4886516261359359,0.4896552740417964,0.7697136880200558,0.7234210150973607,0.6840111495555591,0.8102473687972538,0.9157519565340105,0.8737336207638882,0.9781309136395452,0.9666219413826778,1.061334401785936,1.210273350195992,0.930750957259753,0.9126280678746432,0.7495626316202799,0.6781984618709124,0.7285232483560887,0.717993546344182,0.8921101439081797,0.7506072621560598,0.975680904634054,0.9747730964893804,0.878331971238941,0.8372832833818972,0.7745337322493859,0.7629750237747316,0.7102448442467874,0.7582955542984439,0.751682860768377,0.8374207175516581,0.8820820524744086,0.8822869824848226,1.07741390587884,1.5101878121181824,1.3793318993734838,1.040719071426968,1.3505741334782055,1.1238353271793544,1.2711179725466408,1.6047970942057255,1.0442918463522772,1.1167156987469984,1.6798336792479995,1.0479392587219154,1.0865231211355755,1.1498698498167301,1.1845253921592664,1.3038030768706024,1.0708799024286826,1.1599498883746993,1.1539555997560063,1.4619746018755873,1.1496852584505297,1.0734587880146624,1.1744407098343084,1.0215629819377414,1.1255889653320539,1.0522164951736603,1.2642632275607055,1.5711336830478053,1.2784995824094518,1.3806660785999532,1.0984094226979415,1.8166577813369185,1.1022411307522313,1.1191557809904282,1.009797892644461,1.000192748560526,0.9465749284860243,0.879184830972941,1.1437290486157698,0.8703574580703277,0.8814182393251991,0.7781937847033412,0.810432951212983,0.8737862117995677,0.8902469251082316,1.0289316137488211,1.0419507622443598,1.1818066564871827,1.1076154116451542,1.0227748567968316,0.8930413632345305,0.9755347241676002,0.8461538903264099,0.7962978046948883,0.7048503211461898,0.8921362702739557,0.722746406347054,0.7089044884961118,0.633843678141765,0.6644420926719629,0.7467194198764503,0.6218353724212475,0.8241657133073574,0.5607665676516417,0.6037433748620367,0.7342103465801666,0.5176082490417249,0.426111639712697,0.4018433573643864,0.4218228655203262,0.5216890188898989,0.47727942475955243,0.5788967195770033,0.5548004731308399,0.7702731387253694,0.7420951950507301,0.644492849397534,0.6128539617164173,0.4709225446263758,0.4289919747710359,0.3940478191484427,0.38180956969336516,0.47195890339467506,0.4569657215978029,0.43754212963191225,0.5173921060897356,0.5409422175831083,0.5400287554173421,0.4883395335339649,0.6757907976289367,0.4992599566134559,0.4992308710947528,0.6608644849862075,0.4332500491811,0.5494302089890952,0.46292246790430136,0.5688176714403119,0.6783509811958958,0.6230464758318168,0.5467340885764388,0.5679023954363699,0.5893670101284311,0.4915837641558275,0.5193622953135987,0.47305615845330296,0.4620092711279568,0.5440423949372744,0.603416550438675,0.9405900417368934,1.5490058887619427,0.9815073287469052,0.6901448944177977,0.5772043555418384,0.5810457665979887,0.5991291607179345,0.522071050449921,0.5023024998739055,0.5649701208049497,0.4932854029261989,0.5733124794680066,0.5906975057782037,0.5892718665555382,0.5172352595909914,0.6889748618961108,0.8868571407755511,0.9146499630914142,0.682262852892026,0.4431088244993399,0.4816580539193546,0.4983453436835689,0.5218655142961746,0.6001132590111276,0.6150175624865217,0.860638415904799,0.6223694695536117,0.6932741070685489,0.6186225044011637,0.5199934380841459,0.5129082506937509,0.5164592381134515,0.5656262637641258,0.6296233680463129,0.6254264233281834,0.8249908300770363,1.1970514186334047,0.7864442448115068,1.0261385559730787,0.9345467399270513,0.698919162619539,0.6543285570041878,0.5599731572187896,0.6075001834816742,0.7159496660498855,0.5780948376601942,0.584025090189552,0.6231456500004731,0.6282320669089958,0.6669390770928344,0.580595476658188,0.6663947905503745,0.7626618775625394,0.7478246012709583,0.7335143678700871,0.8177600943901414,0.9041561099320818,0.8571815792353906,0.9612115581398103,1.0639464349968473,1.0343098988463337,1.106033504830193,1.2356899200298115,1.1358778769775448,1.3817714387603963,1.152487587337627,1.031215681421934,1.0744308213492526,1.0508061562942717,2.040605365185188,1.3374406861713986,1.9962098467340332,1.0007029093139383,1.0335620600891406,1.0269657453085301,1.0641969412599155,0.9036857033050003,0.8271894344775286,0.8740032947298894,0.8689348973555938,0.9652527390744191,0.7815735542641665,1.0542882795131199,0.7467330801135685,0.7786713856313751,0.9865557037521167,0.7086183267784063,0.6341793940803621,0.7641031742650046,0.9074804560873028,0.9995928657971921,1.1749039384914055,1.1065219626148715,0.9482258686568033,1.0244993369338995,1.2688198621903013,1.017266892125392,0.9446247644575239,1.1116049185813976,1.1277443457531984,0.9989558960352215,1.1156727047982262,1.264642158866168,1.15197932304094,1.0976131020943654,1.1709009067483844,1.0863462718774348,1.052558955493833,0.9631619232754628,0.9635396489710458,1.0262346040452597,0.898687940882981,0.8490123783734123,0.8940994736309072,0.9109055524738356,0.7867485207217568,0.8529649302387319,0.9773159328335365,0.9157569467710034,0.7779403446443499,0.862824405630703,1.1279475106844363,1.062889052872118,1.0678238330711154,1.1208831742009713,1.2721056851008947,1.385944348186937,1.1107574423929993,0.9863827085978382,0.8908648443091252,1.0231557296122076,0.9807964073206881,0.9944033409299519,1.0327143097011915,0.7922201051720872,0.6276103146911212,0.5621482499140892,0.46072180693225984,0.5275598439585927,0.7405826172758662,1.0892169222511974,1.4404586045103605,0.8895376961975314,1.058877472823532,1.291387974277516,0.9057048355677774,0.809011275503153,1.5969243236034933,1.788638751582361,2.9342028397264865,4.193417907606558,5.738059267653769],[0.5600427255432268,0.43868251811058917,0.5283732661750612,0.4571101010941953,0.3713755585471938,0.4539343777518889,0.33379046523705186,0.39579061023078393,0.3676107118274611,0.35363559283284884,0.40542473759831205,0.521410962558745,0.44198084907303076,0.4615644139634366,0.7423355031924173,0.6776539329369489,0.6348929922387105,0.7633693562025649,0.8757765105045962,0.8133751730394208,0.9176590047006019,0.9070488452535644,0.9899198812538658,1.118019105150073,0.92436852207972,0.882026090778326,0.7039975293767219,0.6336294638514492,0.6780514644762277,0.669140240988968,0.8338458850908068,0.7096615017295339,0.9107153828276146,0.9022916076312877,0.8051028390080323,0.7736072845347763,0.7213564813540115,0.6966736576541054,0.6418636781090464,0.6828267891032367,0.6949611045674496,0.7676554001351271,0.7994547548697386,0.8339669771045527,1.0724920798869524,1.5618786540859542,1.4505762005548097,1.0251184783886946,1.3249628806873666,1.157509497116472,1.2108134053664275,1.5818511205802663,0.97407788041567,1.0455411758644615,1.602360154266766,0.9677345984606275,1.0210233675086888,1.0722808450326473,1.0897526142531357,1.2893623930122846,1.0028692828253307,1.074581335018335,1.069229886871227,1.3761498911932455,1.0747806233711525,0.9981342460435284,1.1205164835682688,0.9644913247123931,1.0965768804600418,1.0223909795150496,1.2264956558232332,1.5206936072657427,1.2492876869262997,1.3501781334984166,1.038915790542246,1.7483749533906494,1.0197158063787537,1.0327836689640266,0.9229058973058615,0.9250204315883374,0.8666012283761133,0.8161452235921572,1.1052913793002417,0.7855717531968772,0.8488890916728437,0.7216635905986594,0.7426034982290961,0.8098090405963154,0.8187958012331045,0.9509939782969903,0.9670821402115722,1.1104910346263233,1.0368541525797688,0.954043320603984,0.8376967787830448,0.9287568705160629,0.8125898639029988,0.7646376834107423,0.6902596740230531,0.8801537132746245,0.6970123354263518,0.6834894642352232,0.59630951061928,0.63561976509062,0.7036189222642076,0.5839242449844497,0.8041407751266222,0.5181531769134041,0.5801746820844035,0.7076639764058407,0.49683527902005103,0.37480088101532205,0.34857911573353795,0.3672475294901401,0.48636226693674894,0.44339909923122894,0.5451026423046922,0.5247531090404343,0.7356959851972696,0.709754989816186,0.6260888628214578,0.596152836726868,0.45383155635506045,0.40559265433306513,0.3501514564714348,0.32980772567841427,0.4288753374844852,0.4069588846172887,0.3973438228359978,0.46617030274848753,0.48585270613213033,0.5102243215784235,0.4443537844261442,0.6203427761977598,0.4644765862123707,0.48054898636585724,0.6911774847376626,0.4027973828257137,0.5058412217640367,0.4040734938083459,0.5540477029668397,0.6628907535006505,0.6087892576333225,0.5082056604381625,0.5137289478412878,0.5350321824692088,0.4426759767996372,0.4799450931102449,0.42984571174507136,0.42715323539346317,0.5250582108609697,0.5882086774241368,0.9443078382199209,1.5451976668121663,1.0008693340248784,0.6824362598200675,0.558637753017773,0.5630198411523197,0.5632030854259715,0.4916156297806061,0.4627521786494548,0.5151420727988115,0.4298411286614416,0.5137907916289016,0.5390723205196689,0.5539973101322997,0.49977870662890805,0.7189451306877807,0.9125096841873223,0.9161322625736966,0.6456257608654257,0.36993841249876036,0.4501007118384997,0.4659025647026981,0.4819875409107261,0.5559373220375903,0.5770469129323565,0.8311198204591431,0.5730616056208617,0.6447890464228216,0.6055483628214716,0.4724659427556032,0.46358963323835406,0.47302031631300906,0.5122399526947209,0.5759115738427777,0.5669381766157797,0.7667762473843119,1.2025469117039902,0.7530507123027508,0.9880600635377241,0.8855878291678094,0.6832368916910795,0.6364651945194633,0.5198564435127925,0.5781688356317458,0.6893328714450627,0.5390238768417501,0.5559505976825937,0.5896984352028891,0.5924009901419163,0.609339279515291,0.5330974529608412,0.6403997355855533,0.7324011538427153,0.7128051525079153,0.7134758823328948,0.8000764776952084,0.8748068894611682,0.8244723300893563,0.9363568251239743,1.0385650566707172,0.9977108516914103,1.0702238738372851,1.2209003716438027,1.1211999599183657,1.3900481775160969,1.1595089308118225,1.0328612781731712,1.073998092079698,1.0666696705970924,1.996029819799452,1.3712874807249205,1.967480213651939,0.9777177630971359,0.9919599491500585,0.9817556927104049,0.9976888979991984,0.874043595810121,0.8001197189788077,0.8424518864959896,0.8464902766676627,0.9698772512124398,0.7786875137841524,1.0181302698432528,0.7735371044803089,0.8058172206759017,0.9816946856270352,0.7052334998770187,0.5819085318744379,0.7027023675006702,0.8626176516659538,0.9473761422259285,1.1458490741583804,1.04615253265438,0.8996122399539579,0.9898957877245271,1.2336777721163177,0.9805764867790582,0.9113304548280478,1.0897658284594547,1.1133233431409997,0.9725014893271781,1.089441009816988,1.2415893466582402,1.1391436607908576,1.0739984305014814,1.1543825395590785,1.0673811553181518,1.0347659429268194,0.9353312847532307,0.9374974404657597,1.0154474730535368,0.8816615469323794,0.8222311750531571,0.8846447050398953,0.907932717916886,0.7760078477467727,0.8495203901059991,1.0017224598276895,0.9156473725235462,0.7674933674933895,0.874455056622164,1.1428263525845435,1.064917106808935,1.0704549687466869,1.1338539771799305,1.2629166885095493,1.4183219218573417,1.1173941425964569,0.9765902720968714,0.8783902986549601,1.0371216030476407,0.9944650554858533,1.020641467549284,1.0358160265679144,0.7941096461363752,0.615969539160125,0.5305728193489241,0.4327423744516878,0.49604615241913563,0.7221553862988825,1.0613821347526693,1.4527978486202366,0.8240697758166229,1.0102024868336088,1.2170131848420318,0.8577650911613665,0.764258985289792,1.55386502459761,1.6278407341070011,2.6837185288594463,3.796181614633144,5.198931278018155],[0.6627309036682089,0.6191910517015805,0.6859368843557271,0.5663730152037026,0.6006827710188904,0.5690020685561945,0.49704382880196907,0.5133191305140821,0.4808095781551979,0.4830775253060972,0.522260579065699,0.6140723888302385,0.5230385699904363,0.5459835412178242,0.7526585862071593,0.6870274263024722,0.6485903914642422,0.7396661647224384,0.8670629400440262,0.7936789157024415,0.8850949401301784,0.8740160208736617,0.9438681865274686,1.0919584543759444,0.9799573035834241,0.900242334802152,0.7302821600294093,0.6513188438242465,0.6796138112615447,0.6720053956389028,0.7964749266285885,0.7128242510869561,0.8922838735298659,0.8694295357938082,0.7749739671796314,0.738506374517389,0.7060646034464181,0.6967436174854684,0.6563627481816898,0.7051577783259836,0.7018991116097661,0.7589310033898222,0.7715524565953239,0.830069895476814,1.1083026706170591,1.6211605298087814,1.519769797112267,1.0318094286532904,1.3170313822081237,1.1849204562435434,1.1772498390567139,1.570860134154272,0.9926052257618034,1.088317872280802,1.591543594796394,0.9082893807638339,0.9664666950449748,1.032194620097179,1.0378581078785198,1.2567411321771136,0.9556124219267988,0.993565903848975,0.9897718419744438,1.2938055580392234,1.0168681988693293,0.9317189820785498,1.0971186181740114,0.9222584852178232,1.07905521241377,0.9946254435178168,1.2096949253145564,1.4668108093724053,1.2077499979881008,1.2945368847583556,0.9867528396086556,1.6832443774503232,0.9599795366138211,0.9697271204174152,0.8674343261050088,0.874242635241254,0.8450028753497374,0.8052745041764364,1.1287828260118322,0.7476586675063281,0.8766886373049609,0.7386945489919893,0.7404261520909478,0.7931418941613867,0.7820900315630542,0.9037363240759017,0.9131801003914302,1.0642947617721736,0.9805655761951119,0.9168006722680793,0.815260721621164,0.910064794578651,0.8122705221795585,0.77917246193134,0.7383379264500363,0.9256723711549834,0.7512965971551433,0.7684391996923352,0.6516766599848977,0.6944180239573938,0.7648743696628416,0.6745236173549687,0.9506807118869346,0.6198407690649687,0.6633434892091684,0.776258489941667,0.6250748960379359,0.5241529147906268,0.49570112427483226,0.5123951361855459,0.613498408190793,0.5523625219888291,0.622560112864604,0.602718140068208,0.7605782537965712,0.6981406180379581,0.6768006183297821,0.6686279519723757,0.5790760494730104,0.5260385403698763,0.5111914563000842,0.5194960791962432,0.5734074798681261,0.5387719685369641,0.5474256931986586,0.5472867911483119,0.5845046027951987,0.6537751320929241,0.5359289520559507,0.6715056039804006,0.5291516052417201,0.5298758729660002,0.8029242898000608,0.5650623036315331,0.6663476146815803,0.5350484315602145,0.6711788947376441,0.7275611932016219,0.6847960085149667,0.5940684721016766,0.5792913508963199,0.5965189219727999,0.528810625806787,0.5732060716156593,0.5274824832316545,0.5389241687088662,0.6363076179268862,0.6706177214862307,1.0185509642244368,1.5570176211818256,1.0260438468943498,0.7624992196852879,0.6434938562510252,0.6530758508452353,0.6344314370649493,0.5825196529872672,0.5516780326142633,0.5679510411914712,0.5118243744944652,0.56836567166125,0.6326241909859193,0.633599408516372,0.5649567845951995,0.7625207371639992,0.9364603531092888,0.9159572653082054,0.6752791006588605,0.4841658561729927,0.559123336605264,0.5442238787373331,0.5430372388519941,0.6036447400446523,0.6210612453068907,0.8683832292600495,0.6121392981783459,0.6937785702056828,0.6400887952631453,0.5522118972994572,0.5443992133062365,0.5352076481712117,0.5355774325142826,0.5907068148567225,0.6031896049894654,0.7920645289230324,1.204035378022766,0.843832372737292,1.024484091847205,0.8510710068354191,0.724599006460559,0.7214154305809168,0.5939954861059552,0.6398836485096925,0.7043761826106767,0.6602378357012941,0.682018329421375,0.6870651776131717,0.7185812761450531,0.7242100754536288,0.6427285441344889,0.756275458695029,0.8427565759063255,0.8150815724984917,0.8303934117854714,0.9070072974606312,0.9685762571265799,0.9128985398652605,1.010582885272258,1.1078564293721114,1.0537260202314875,1.1090838338334261,1.2739130831029757,1.2059562700067037,1.422263157758029,1.2553328059923108,1.1341342843098914,1.1768211693869155,1.1867965367906412,2.033718618506092,1.4854948226388953,1.9033954753154518,1.0530589121222156,1.1074820807461987,1.08833303654302,1.0817014451474598,1.0145368800719987,0.8970000140998766,0.935552292286986,0.9275674790781715,1.0237267540105086,0.8739867119084338,1.0499831996478115,0.916686267712536,0.969761482942302,1.0439656648088562,0.8460362479711051,0.7085586657000675,0.8014721011018588,0.9346831955770436,1.010182309685509,1.2482048833739352,1.1250087976297294,1.0024793912263068,1.1016554473064581,1.3308680792129668,1.0899648463180955,1.0126321001772305,1.189459385094302,1.2136138920795045,1.0533779470731073,1.1828446107906696,1.3307243143643843,1.225314328466946,1.1474667525956352,1.224876323557971,1.1483881584743618,1.1281892864794807,1.0347405786319965,1.0483523497775578,1.1104998464183258,0.9784246664831737,0.9215166985244945,0.996011201224752,1.011741520518288,0.886390156695688,0.9569391146469713,1.1283778474941133,1.0014110923952293,0.8759866389765785,1.0089745966694923,1.2311800626262215,1.1650818215646708,1.1754605567355076,1.2434109926219974,1.3484572248462499,1.5684305203958868,1.2034044981030143,1.0616518757856277,0.9645792282263375,1.110943029319492,1.0590007319470567,1.0897601586631687,1.056687682317197,0.8876657530731581,0.7230780441077092,0.6464151225337144,0.5876006882998568,0.6355637096317167,0.8047265744047739,1.0961460476741698,1.4881896953055525,0.7956827811664059,1.032561312460799,1.1735056916955555,0.8332451139345062,0.8344334080303406,1.5076849471497005,1.4039885512971582,2.270773056789003,3.3014371597050345,4.593666598748688],[0.5567309639589675,0.446142002171314,0.490785295172326,0.43104184990540784,0.39695753566417663,0.4301486076471363,0.34723421737672566,0.4020773238325143,0.3815121757166638,0.38216218178435146,0.4522166248499227,0.5703961441951965,0.46386205429710115,0.49613568456631213,0.7201352924128511,0.6450188913925744,0.6287547132534805,0.7334133121366325,0.8642697797883037,0.8035976063450134,0.8963253024105601,0.8919085440859759,0.9811485365469452,1.12331564979227,0.991421980113015,0.900541877076426,0.7136635274102949,0.6282091461109531,0.6589657839500817,0.6513276397426442,0.7780269741109682,0.6538911682187974,0.8263862149706851,0.8125728945390245,0.7376767564518196,0.7184872712166771,0.6591660612538908,0.6549914151844273,0.6219179404374299,0.6362874326554101,0.6910673465974764,0.7547023389716286,0.7667439462620728,0.8597280110950379,1.18937094438024,1.7142330708347473,1.6526441608556295,1.0719444811872458,1.3887948548259466,1.2651415573377895,1.1365589353564634,1.6367351259830087,0.9733682663148565,1.0545065272112648,1.4499984574567313,0.856236589997984,0.9413694915136392,0.9913107608365936,0.9571286102553751,1.2790672708586945,0.9596645122443475,0.9744268594714118,0.9789539838515439,1.230630129593595,1.0141438848089215,0.9235147585024595,1.1188479690009059,0.940809843150877,1.0823392555506086,0.9900606238132995,1.212324902343446,1.4351105925057612,1.190736011024406,1.284153211774059,0.9700794924433653,1.660810479464942,0.9273824341049716,0.9362625096789297,0.8304194555147492,0.8374887171265848,0.7788067816243672,0.7197282698219202,1.0590259925676242,0.7060504717902846,0.8165885221452951,0.6625085012861728,0.6835096527379182,0.7638667153587801,0.7579189481923226,0.8494588622030682,0.8748674581327135,1.0328858244826533,0.9391804388904758,0.854490688749945,0.7757345890763335,0.8621842270934946,0.7927223707059998,0.7163460749718951,0.6584514672419036,0.8524086505651437,0.6582094638005294,0.6749899426567042,0.5652352836985313,0.5869431539824009,0.6014711198104149,0.5350556481976945,0.7857522444606122,0.4851957442235789,0.5521197509448215,0.7210030232122057,0.4808304448611459,0.380060528900583,0.3663531805906749,0.39127314537584307,0.5053834095359864,0.485029104164271,0.5590359849551383,0.5676431230584444,0.7570662220592701,0.7181330119118188,0.6522387671357627,0.6432998577164522,0.49922528294560425,0.4504772052673091,0.3957409183046305,0.3735553358159908,0.4103529227367732,0.4144410916545603,0.38041522408372824,0.437539182168076,0.48235020334730555,0.4822895218346202,0.43187842748321115,0.573891385147074,0.4710330718500806,0.5247440923402963,0.6838774174663145,0.46037339162542834,0.5506332817997952,0.47446045244846996,0.6071314622442909,0.7127548904249494,0.6497473913038279,0.5340970197988038,0.5340328774017672,0.5482893680819587,0.46445339521771806,0.49039138282418565,0.4272470906488811,0.45867287412627844,0.543633425266071,0.6007029936128844,0.9286899200993463,1.5402695742414245,1.0495875342271705,0.6785607825478512,0.5557296342822077,0.5522776571930922,0.5282690077905225,0.4701547113902942,0.4542817444317852,0.4916463356758337,0.45830985830438603,0.5099174876997818,0.49558933483832407,0.6289658692395785,0.6071084211370965,0.8895030133874389,1.0288213050268897,1.0117080130243947,0.7244436421911952,0.42942911672467354,0.4698705731889381,0.48479868856490765,0.4686425515335193,0.5154329277485207,0.5520026630185174,0.7620540521945568,0.5463823496760549,0.5914123067726396,0.6484111084186355,0.4328092120839074,0.4323797132879205,0.48042273388215556,0.5265746757157155,0.5688483486486715,0.5533450877382106,0.7496448546599641,1.2436264045706786,0.8439134805283813,1.088035582570397,0.8945165027751535,0.7561986639433657,0.7030077981551535,0.5461062643991086,0.6086141162107745,0.6772026818442188,0.5540178629900772,0.5545910890625236,0.5935382878700476,0.5369651691462443,0.5397107845083554,0.49150403245110486,0.566091163888378,0.6382440891504683,0.6216493426271903,0.6546542171536309,0.7103527275272166,0.7686283184947308,0.7177169187906827,0.8239096818475594,0.9283105200356327,0.8837231014888871,0.9298587316703134,1.1126238901247831,1.0238473776527854,1.3001342879695723,1.0980610663470052,0.9527137901242108,0.9771803234472982,1.0070086487825212,1.8566145361285815,1.3572842991709821,1.8342345987682567,0.8663822538246682,0.8672533984213575,0.8788424922022774,0.8784910349109532,0.7919519152079125,0.7106259312166876,0.7629707851124331,0.783595952702203,0.9403503936004015,0.7584178414488949,0.9523546524756307,0.8445637032765687,0.849537469336049,1.0310706321263745,0.7077211438950691,0.5555687948498679,0.6196014059792905,0.7556335035516973,0.841240602419582,1.0760213924768811,0.9551271263177683,0.8134891513214595,0.8858104316073274,1.1312694388255884,0.9091513396887712,0.8140608907416156,1.0163048247875386,1.064232469330917,0.8852704133427872,1.0007292015191307,1.1638682905988726,1.0866413901682606,0.9802799672702251,1.0574321773158555,0.9632400171184835,0.9309245627310329,0.8244321745260225,0.8212627603374839,0.9083901676753345,0.7693370301977251,0.7025717847878012,0.7835507847484471,0.8183002395913468,0.6894498970959277,0.7634040246661246,0.9725194766897806,0.8553414718184578,0.7599567891255091,0.8460330525388119,1.1777948003681045,1.0668045875701948,1.0501295883857775,1.1470730626112224,1.226872924087883,1.4109360081870348,1.077757632586917,0.9038813430529352,0.7996227346994756,0.9897007697143712,0.9584350866478574,1.0084740633568656,1.0254892417458654,0.7765315851641769,0.5902927471771275,0.5116406798719993,0.42570160896083264,0.46734122465662387,0.6506109023197253,0.9334344868363982,1.4171897500212558,0.7646874055146857,0.8651702826105592,1.0215684065371662,0.8003732247379375,0.6737615271749667,1.362768336364381,1.2811332095690906,2.2575388801547,3.205044403452349,4.383022580571215],[0.8531292280146299,0.7739799342482602,0.807285463875735,0.7794215551945758,0.7261259353108882,0.7588634272685236,0.6796031706673775,0.7085672595771544,0.6660067087788993,0.6436224320332159,0.646581873574852,0.7434658813511656,0.6496905326963489,0.6669838895500171,0.7976832647681068,0.7186852204329266,0.7252189360899229,0.8171148929193331,0.9140693845567119,0.8687018261945846,0.9186371058157524,0.9292284968122829,0.9831896137832551,1.1094367726234082,1.0741182937541192,0.9575464039334842,0.7888228950840861,0.7442415631631465,0.757640436886678,0.7454402227210098,0.8180863005762169,0.7442805623851639,0.8698111977188492,0.8409940734773319,0.7881150452670217,0.7782594094963551,0.7563689854767112,0.739347012359653,0.7379095602963884,0.7493316673515551,0.7752776496000254,0.8109113213747222,0.8045273786532846,0.9244811292836582,1.245189837009544,1.8065069552211046,1.7576226561786235,1.1407769815410613,1.4506327965054098,1.3960898669391748,1.1982152891521567,1.6790864033558794,1.0217785547035199,1.0955702811073924,1.5363049368673587,0.903180709457832,0.9665380462554637,1.0614001864043712,0.9841987200048155,1.267338284685615,0.971290922175813,0.9512322380701251,0.9731848330580376,1.1759416043951643,1.0095959940421362,0.9465651345010778,1.141499478803891,0.9810989770727919,1.0934196250447168,1.0206667473439024,1.2419782217132629,1.4133924372325046,1.2039171133470616,1.289630012696978,0.9725689887074017,1.609505481983883,0.9283935707345342,0.9130426909096991,0.8475425772128676,0.8717013690787493,0.8452753367889738,0.8285675720210127,1.1322945583574051,0.8086486427261899,0.8453824512604757,0.7522327461117234,0.7598460964608237,0.8566534779698484,0.7987533387109012,0.8592241949767534,0.8789967228880445,1.013390166782437,0.9304047756998244,0.8624154762762526,0.8188845839685504,0.891670190727007,0.8590672018372388,0.8066645612065336,0.7747346467025297,0.9570152265380638,0.7966597871085332,0.8584528895362006,0.7233169394064015,0.7790426158435355,0.7931129773404729,0.7704921221756834,1.0058169875570167,0.7695275002387935,0.8169437573771959,0.900960906716393,0.7558029190591685,0.6852763320251305,0.665616984068388,0.6630426026472207,0.6799892468237488,0.6852604566272527,0.7024824798960798,0.6865378990150645,0.8241596950120775,0.8234710838273949,0.7592108698981186,0.7507399940233619,0.68842773205539,0.6817678486664618,0.6484165489040615,0.6668673352922323,0.7222366419764406,0.7098860380841423,0.723065204834522,0.7545487078508489,0.7844719895873945,0.8230367291159999,0.7721621850593514,0.8401985064174031,0.7842087937848063,0.8371674959344371,1.0751147283655236,0.7232458989936481,0.7012511929515358,0.6755070739889032,0.7671868085104262,0.8107307964853981,0.7673672985496921,0.686535708709867,0.6859760088256251,0.7102835130853627,0.6674236587987262,0.7027955439569814,0.6769674040468364,0.696196970488797,0.8039320944552164,0.781581068826904,1.0234064156607068,1.5440060224599963,1.0960178517281807,0.8339858228225197,0.7251040130373211,0.7669373452564134,0.7118904266162337,0.7032551980639188,0.7071721216639016,0.6858516092994565,0.6696675339593169,0.6628095026736351,0.6734230905570427,0.8631710414949305,0.886990696870701,1.1999962588398299,1.3359529177060196,1.2848443706243222,0.9765259346634602,0.6879505619973328,0.7317281196037565,0.7770504785695591,0.7122589430231479,0.7192106040624076,0.7153568950852472,0.8657472104253283,0.7096955887235784,0.7543541183470931,0.9875335961327852,0.7228500293933491,0.7260608826304769,0.7701179506819288,0.7834896726810984,0.8067808284174807,0.7571828832065403,0.9317623195653046,1.3505561204249135,0.9281135131659405,1.2263584907507161,1.0748316071316641,1.031738338623721,0.9867033019155678,0.8723868253319644,0.8939562840603098,0.9452228506180721,0.8376920980132596,0.8344542205860503,0.9103858969930118,0.8520101967693463,0.8257937926560179,0.8162183600235703,0.8736791197644095,0.9181818457223326,0.8892292777026802,0.9404461312211628,0.9618210992050518,1.00780678992561,0.9681678877053771,1.037665306829787,1.1223106140786647,1.085587682813734,1.0898648467512049,1.2563715566209352,1.2049718329987027,1.4377932143465997,1.308181590946784,1.1548878981223942,1.1679788032495126,1.2237844091742671,1.8457164607171366,1.5726203732995097,1.9949691948219612,1.110023790520609,1.0980790722814087,1.0490102184392416,1.0249491233646748,1.0185339228290509,0.9086176510755829,0.9426902335002443,0.9646953068477528,1.107502030202509,1.0151468842290288,1.1790843625998673,1.1153036090720008,1.154863604170364,1.3503115644979298,1.0270214272794171,0.8529315675675826,0.8332126081860914,0.9094039472061587,0.9862125316305964,1.2596926836500988,1.1064644199215272,0.9854041090850613,1.0795078966877334,1.2752841883339596,1.0557583047901327,1.0590913186076067,1.229187382494803,1.275372426609688,1.112669249490558,1.2161079614661243,1.3640610190901206,1.2961669285458088,1.1738350346457085,1.2499373859716467,1.1697821638841512,1.1487373387217363,1.0518406225767731,1.0510727081228586,1.1254140439291804,1.0125479253038263,0.9662868453107031,1.0278319443532102,1.0568431537333998,0.9615508584003943,1.0420075122248929,1.2252106724250815,1.118652286487362,1.0315821545186006,1.1627663430379709,1.3837278457141753,1.2936630426462334,1.2910779131870005,1.396517647179779,1.4512227344845012,1.6193275066081656,1.2906375026057788,1.1224745039583701,1.0343440900956695,1.2290056594920047,1.2121120602163737,1.2626823383423675,1.2885432855218677,1.0671676877761045,0.8932821160037989,0.8251923050625645,0.7505902250961867,0.7841596558849847,0.946544163653425,1.1707569956261608,1.6148130648623569,1.0191158154051294,1.0612298697347164,1.0982892219913052,0.9743441992737254,0.8846615203653405,1.447118715359332,1.2567007753844497,2.0743463121801837,2.9122172513825384,3.9355104690182863],[0.652139301201995,0.6104831023504687,0.6445068935797412,0.6298117645692923,0.6660635641413952,0.7100059040597878,0.746846991927784,0.7853518094007179,0.8479406056047372,0.8477533912888793,0.8923776244290695,0.963664828579375,0.8809499904456747,0.9003997680913919,1.0041597891930143,0.9649067903125547,0.9209057206550448,0.9979681147757974,1.0524396821965116,1.0218989980182134,1.0990248439506904,1.12130386922015,1.1213124286801623,1.2504744477022822,1.1622195468647187,1.059978300565021,0.964988245341735,0.9137853820487257,0.9388092864104354,0.9273659938467452,1.0122078135616874,0.9865244631835004,1.0169709534893074,1.0524593934984137,1.0073235231035622,0.9774352484845411,0.9352667808728011,0.919019853081878,0.899224557474609,0.8803825955475507,0.9718268448655683,0.9803702016666723,0.9901171592978616,1.0296164935213674,1.446666246275389,1.9611982474479084,1.9820281563104334,1.2608185823717173,1.5518727274969522,1.4699900100657333,1.210701266395425,1.9085946054287466,1.2192490034516048,1.3103881088897489,1.5331775288708769,1.0799373216849175,1.0795246440400832,1.2139264464010262,1.163701107694133,1.3504156704278736,1.1086278840983117,1.111199551963354,1.1838792557202424,1.2983525463325032,1.139261099269646,1.0977128550981534,1.271419387155884,1.1107407848216244,1.2272294702654085,1.142396872750039,1.2800020246831376,1.4456748803413138,1.2718182280652457,1.359355989307971,1.1464710495008106,1.7306485855340807,1.1341716658365388,1.1202151410818302,1.0462054680758952,1.0513206121571317,1.0086433236124632,1.0337308546925439,1.2157176245482042,0.9155271907898991,0.992914212781222,0.9167864821050705,0.9424541803210261,0.9924363352700278,0.9955019823172393,1.088975600061115,1.0760557189342184,1.196845030500118,1.1260427359670808,1.0965017061866278,1.0580380936839582,1.1101024535830644,1.062178354859105,1.0282394808750228,0.9832042525509057,1.1049363060353197,0.9568137616990492,0.9461692431633573,0.9039994529376782,0.8282150188225978,0.8697822107708145,0.7861074426670466,0.9526531386348626,0.7635143959552285,0.7860037051846163,0.8902892743341836,0.7347192004279958,0.7623320230251708,0.7795053636046392,0.7764676350137292,0.8618624285182962,0.8300645173692799,0.8865488354534187,0.8546916569534098,0.9991327966392795,0.9880474852845059,0.9518391705802157,0.950141139107974,0.8425093618711005,0.8098762712761759,0.7707645567452979,0.7394764264841428,0.7024364694697002,0.7456648466680599,0.7037251082273338,0.7247062042910845,0.7522966178059708,0.7338975091708869,0.7415486825969007,0.798312796198135,0.7712845150708186,0.8188643711348116,0.8738161086617305,0.7530986001014396,0.7807674510927644,0.792732268235951,0.8036632475816406,0.9304647099253174,0.9073531431664409,0.8294850664532847,0.8446205071277996,0.8557747259155721,0.8269438386525301,0.8594746463605656,0.7772818020218157,0.8078270789923463,0.8349859283881541,0.881269245547611,1.0771496286440536,1.6283045160272782,1.286584731970201,0.9546136554258866,0.9114174679216512,0.8445915051669095,0.8592673999068389,0.8075084322358552,0.8156961089940473,0.8357673900785336,0.8143939357644508,0.8262480523292048,0.8209587660907611,0.9245285067341253,0.9244815444514171,1.1626012564255896,1.2726094212306553,1.224909184587038,0.9791253099225887,0.7671753453009558,0.8280186333481688,0.8051260061485159,0.8108062817284825,0.825768043515435,0.8708818943284117,0.9737806258229288,0.8843937864476686,0.8367653405285977,0.9543467653644212,0.7790327756277743,0.7792220739964014,0.795666791681407,0.8437416227914014,0.8441562943283413,0.8321246953220286,0.9842139363868114,1.3272495927599939,1.1084597719871878,1.4140558159231738,1.13360524837257,1.0808004604732144,1.0109721885237393,0.8488298557197476,0.9020161359497366,0.9193433532994129,0.8146353426301376,0.7958782752212672,0.8037192323970109,0.7109890206170801,0.7064188746660468,0.6882323836744355,0.7016330558348989,0.7296988207947068,0.7419732617975942,0.760663355318451,0.7659372629691685,0.8235410149936717,0.7787455635775093,0.8473804659286249,0.9260885283425437,0.9117345056088895,0.917929856044733,1.1143064785638603,1.021171242312438,1.277850864346109,1.0809533175092354,0.9523566491257907,0.9710400936134248,1.0161326233677563,1.780949147150958,1.3268783767168588,1.7286662904969332,0.8808268429787252,0.8788389628293604,0.933820976560949,0.9320703869323067,0.8695023354186571,0.8166299959562874,0.8915600794646222,0.9356588554651696,1.055019363947326,0.9345558495499662,1.0960050197406268,0.9756082549044319,0.9416825409129225,1.18262855987479,0.8684637941487043,0.7731724597977379,0.8213746759900306,0.8773955088243394,0.9842189806761685,1.1241995885963767,1.0712675122255915,0.9560893272185844,0.9498457851825507,1.1825876548493286,1.0676543263153542,0.902119528887476,1.066671553091398,1.1402254193156525,0.9530371822645447,1.0232763103970453,1.1864993827784391,1.159751010031036,0.9978244650160771,1.0634428520920192,0.9577454336127893,0.9317311816814016,0.8622527971770024,0.8444891127680572,0.9073255071233034,0.8113141847967175,0.772206004045827,0.8288387849775701,0.8540736212179053,0.7752267568639069,0.8222699900254385,1.0054998480409882,0.8803959426923611,0.8661019492053291,0.9020419446286249,1.2114941763165792,1.0922624934405034,1.0646261292977752,1.1911862154880601,1.2352355245517193,1.3790393844394955,1.0713195020011286,0.9293896169440644,0.8513630047079495,1.0016670883855003,1.023009433687167,1.0787002811063566,1.1184047170468452,0.9132742624629558,0.7775646009437189,0.7429790198965565,0.7020854835622969,0.6763896546568886,0.856272223111639,1.0134821024070166,1.5685724376440546,0.872229911542989,0.9332573061292343,1.0759996864301435,0.9338081007651613,0.8019684218529237,1.312277401676067,1.1888075095108945,2.0355622133222595,2.8268178722068407,3.834058497427385],[0.9000375075622005,0.7948386895405898,0.7395703196778171,0.6794689579761339,0.6138094372265986,0.5474051529503754,0.4903633817858482,0.5540871171212817,0.510204818722379,0.49285210362534265,0.5153924232353135,0.6005193125859426,0.5090867601590809,0.5409244142930859,0.6629053344222829,0.6045062124036387,0.6089557658215474,0.6881204900826227,0.802942695202406,0.7320309531453284,0.8457157528413423,0.8715607427459341,0.9043739401670031,1.0047769439921166,0.981587362478134,0.8247968145040775,0.6645351376638537,0.6213694961814696,0.6161411444308684,0.5810914708069035,0.6849868803898264,0.6061331582396491,0.7129028448685412,0.7033722237466264,0.6530927914761556,0.6320671406011806,0.5841560690787847,0.599587368066471,0.5784348280506172,0.567178973464078,0.6680207281770373,0.6782814188498323,0.6796996788189998,0.803548383986239,1.3198731278003881,1.8792015876107833,1.9011362867277304,1.066226183954949,1.3738135279178298,1.3468639001520728,1.0419811539173884,1.6904288129315175,0.9235357317528494,1.0482120347892678,1.3699092079957313,0.7583397206656836,0.8298554348133088,0.9586900027230328,0.8716427685870389,1.2094950124911545,0.8718666985886849,0.8099859160001409,0.8575561833066598,1.0773078444626767,0.9197188153785297,0.8027166748744056,1.0551945807728518,0.8437945180643173,1.035056203443037,0.9328717150726765,1.1345173154100587,1.3305304240116573,1.1130264225484756,1.2220910377919656,0.9055994466252665,1.5447841320437479,0.8402458959668296,0.8192973770796682,0.7103347769890046,0.7061269521685349,0.6743893484120513,0.6800056488331331,1.0513720089832665,0.6250568156058246,0.753066195089049,0.5959359174143413,0.6202631213724702,0.6706017849973802,0.6541080662696237,0.7554629762868684,0.765347800060164,0.9111889449715345,0.8315024105160702,0.770412731941193,0.7100766496286409,0.7889908251944759,0.7585097501323561,0.6809250724845066,0.6459750458883252,0.8297889857933031,0.6596965821162926,0.7056867273614269,0.5647373252090448,0.6019836930649204,0.6096641178858159,0.6154890834503224,0.8651280810205587,0.6459175200993924,0.6903168635538339,0.7833012530217206,0.6316204564669461,0.5239754945595365,0.4980928565550116,0.4735317821717207,0.5333244605120026,0.5589791082829128,0.6060791598013815,0.6196588551112379,0.7995808924690144,0.7078015815405393,0.7021257231449731,0.6680838488607245,0.6265176045655502,0.5189280994482388,0.4805477842483435,0.504045009572792,0.5849860371055796,0.5630987069993775,0.5802035445491764,0.5843984470354131,0.6845151101560052,0.6791670285762474,0.6235814414726231,0.6483962039943987,0.6237779421921128,0.7001738086420785,0.898750806563418,0.5718608420584971,0.5792231194098246,0.5741319812410738,0.6673919915452385,0.7450939640033182,0.6929794390251809,0.575394347632205,0.5636658913716361,0.5610282582406205,0.5058589921952963,0.5436352993654523,0.48510428041541825,0.5221737858421593,0.6348524832522717,0.6300549271594823,0.9158531033096058,1.4410028674251834,1.0433312396445837,0.6900675724058469,0.6031081480857369,0.6121863800201639,0.531557419328837,0.5420250999855936,0.5078236460148545,0.5034273338753914,0.5270196095337639,0.5102028589981348,0.5225457282889773,0.7541069754344482,0.7893925684177341,1.166321861167121,1.3028378725379541,1.2273222108956168,0.8927610237480966,0.5371454718445543,0.5557850823095706,0.5405312163283258,0.5042113313878651,0.5520557520241153,0.5596457784963379,0.7596811898401036,0.5412225060742197,0.5870314060689242,0.7740696176321622,0.5270762345043657,0.54380390085824,0.611390882679756,0.6068210400846492,0.5899448972502966,0.558808452419698,0.7465040458217554,1.2426307066698195,0.9109103130017849,1.1875375579075684,0.9494267338443988,0.9263891609963641,0.9004241249611905,0.7587266129975614,0.8526032227581017,0.8743654580279954,0.8091810102695939,0.8103433674649425,0.8165203939182307,0.7762267063487348,0.7366059782704714,0.6961699531108639,0.8101889888454904,0.8350825499623445,0.7996794866994851,0.8910810030402538,0.9296779305848063,0.9685079545944505,0.9062912773579423,1.0076324977318136,1.1098419288161114,1.0747870077850887,1.0633875696843496,1.290293918211171,1.2183640590731997,1.4574408929887483,1.326972833083823,1.179465558929701,1.1970251410572121,1.2462272965347108,1.846801378721074,1.5372242037447021,1.8626241894145217,1.098143319034212,1.0410270223085656,1.0232995130066256,1.0174089795419043,1.0208724724461802,0.9357796201870332,0.9531561574571459,1.0264467933224497,1.1725596580925806,1.0173642280742965,1.0958623235681417,1.169156592920064,1.142141768880606,1.264673867129704,0.9588756776899627,0.7728419925283416,0.804211291017855,0.8734328288417008,0.9156201527569714,1.1088594346924618,0.9567112941015535,0.8950617602472556,0.9971711226637922,1.1566955542285133,0.9491928794255895,0.9260336142119774,1.1456207664058824,1.2090874097792677,1.040491475879,1.16176956972912,1.3152683191173256,1.3027190326146834,1.2002902707010963,1.288278898754023,1.1747169705982932,1.1271324999678933,0.9989224222973507,1.0201303512542108,1.1308747306206461,0.9966277768986086,0.935763713070101,1.0513321631935961,1.0831426598316274,0.9572512075219018,1.034833494115975,1.273895166698985,1.1207860614598368,1.059619100250209,1.1422032282854147,1.4269008055502441,1.3155492426200532,1.293773515404309,1.4385260720963422,1.4505830511434499,1.6546406099966013,1.2961448004510012,1.1232894935846744,1.0158332589770662,1.1887797708484524,1.1980957024556516,1.271918288711275,1.281655748925878,1.0331202979811338,0.829865524240889,0.7424900262622118,0.6281272577529191,0.6487389570744344,0.6919851373287196,0.8687861345079657,1.3203687007422273,0.8581390223416552,0.794537529997383,0.8427846562532529,0.8922217681234148,0.6942944452187901,1.0776471627733644,0.9901772603996976,1.6010229744064783,2.566151741574174,3.6110546672499275],[0.7324849166782117,0.6699456370354259,0.6561328043603933,0.544553832041165,0.5950595443115677,0.5372044228330242,0.5392807096217482,0.6416841363923214,0.617652983964023,0.5634864006552247,0.6107543664148464,0.7329907473732532,0.590668469316828,0.5771341903951088,0.7307993556212157,0.6727171517663121,0.6397955406994233,0.6805755385994349,0.7428357759933399,0.7135909295293397,0.7744456340314535,0.7965886442249964,0.8362440328835171,0.9492302147305387,0.9926834515021553,0.8097565844227375,0.6607821843277162,0.6030683395156474,0.6443981896798292,0.6698852563991586,0.7296899923578225,0.7419351428984882,0.8138058008841658,0.7840350957119541,0.7348536338988915,0.7005394090760652,0.6912863370633431,0.6344978556570454,0.6134142528500229,0.6393066967571133,0.7013371472769043,0.6986306310062972,0.6923048403310925,0.8281037329362699,1.2699647232505116,1.860005474704667,1.83492830131096,1.0971142852760976,1.421032690738128,1.3306796575865445,1.0776318782093193,1.6493031728741971,1.0153569222139687,1.0418451560756399,1.3575653606304126,0.7911212594155487,0.9071435725684277,0.9297255966645943,0.8685536386625731,1.1983320080139614,0.8501792758487404,0.8305931799860344,0.8481848277057374,1.016411401237336,0.8400150563318779,0.811811972925255,0.9856269628111066,0.7929298833029725,0.9954761097915954,0.8819490992458715,1.1002690424837864,1.2962347483993004,1.0516526672921944,1.1314280383018605,0.8597673059534628,1.5512099582757983,0.8198140729351786,0.8246793578656213,0.7473888441621959,0.7908581822094328,0.7385695046288397,0.7246434125341472,1.1028097739338056,0.7298457937762151,0.8983948880621091,0.7324177475786564,0.6870442575250029,0.7387549092277299,0.7129720179804,0.7982236600639812,0.7892290710756288,0.932494310365107,0.8451206489343982,0.8178541841921382,0.7652950240377779,0.8420694902622974,0.8244750453041612,0.8020124521679574,0.7845630238457257,0.950803462811089,0.7881820160426611,0.8313311214964221,0.7233270873106332,0.7180059290108007,0.6839317472143365,0.6665283615768659,0.9381307778204547,0.6347411409243877,0.6819155540951017,0.8367988988319618,0.6709445401877813,0.5839444105340191,0.5561469556528421,0.5289838179274965,0.5598585171407233,0.5027440071682134,0.5649217223554006,0.5305131647784316,0.6836073866511034,0.6633303635379605,0.6203677073010166,0.6344922137065107,0.4917416431284448,0.4767434151421193,0.49820579599242654,0.48582859882049906,0.5771148142280105,0.5247119670433996,0.5360267316554449,0.552284483444751,0.590081933174151,0.5954883527001712,0.5309243825911979,0.6535159310396738,0.5406224215356195,0.5981697115020369,0.7310513830944482,0.5730089654071172,0.5999348608916142,0.5223534516844026,0.5770110505595201,0.6597178323879469,0.6145564631817733,0.5404565970753957,0.5435295577527565,0.5780900780903334,0.5151402470869038,0.5724483600336926,0.5669627695177655,0.612909472525458,0.700122759384495,0.764389482897056,1.071274840252983,1.552147915316352,1.1637024137888838,0.8401997682641131,0.7369878567967233,0.7191562189527871,0.6546877885887025,0.6501956004422667,0.563541730983931,0.5536287935902109,0.5226615733987331,0.5619180180828176,0.5685583297129427,0.6731885860840033,0.674749156885354,0.98410454219665,1.1186556198482942,1.0536629433609637,0.7737915499013475,0.5286777280629233,0.612096709337938,0.5767820805227765,0.5720981958064473,0.6159891882345826,0.6608887157259528,0.8421888814037316,0.6190142629894271,0.6801377416319967,0.6837223418005061,0.5509378838005985,0.5460113513139649,0.549570789853147,0.5922043890217893,0.604882766500567,0.5777248335351615,0.7468341995581219,1.209695603109942,0.961849203849825,1.1352702310001586,0.8206369640708884,0.8001599903383076,0.7702673735836836,0.6242281773166016,0.7247625232692981,0.7736457721237434,0.7084719832909647,0.7227690324209812,0.6920280970228126,0.6778444088037766,0.6863787425045327,0.6234730823856925,0.6856436615038621,0.7332369370215,0.7239680003492017,0.7355141129660542,0.7812142024219287,0.8531893279164643,0.7760692190006249,0.8568109825386967,0.9543406906665904,0.9279604368487283,0.9134455770995309,1.1221382677167329,1.0407257241925836,1.3236840298351757,1.123094876658797,0.9883675017260242,1.0256654285288302,1.0839904067285033,1.8722349671963732,1.3668046980285733,1.62257989509172,0.9102502593229973,0.9278578234563913,0.9814891063083123,0.9591896473272391,0.9546176905486184,0.8633204837258062,0.9072038213452254,0.9356536786734806,1.0818717861042215,0.9182233489649897,1.0057658922366783,1.0097093717137309,0.947853659938252,1.0657628421607124,0.8278422057852445,0.7050789700541656,0.794085996255258,0.8704879248398886,0.9278775092101382,1.1299365866423465,1.0106882551182963,0.9107117115468626,0.9824851389160191,1.1625466200143995,1.0258616236400384,0.8934662709681424,1.1125630953193963,1.1833380698892846,0.9771933465854518,1.0735352461804781,1.254613545599797,1.2178860431724083,1.0576194635773846,1.131024379491393,1.0184147874010148,0.9870544791634694,0.894223755841275,0.8872580480486894,0.9728508081394004,0.8406917990409929,0.7921797170002584,0.8779579085810231,0.8927566280704538,0.7961020167326562,0.8506291638971992,1.0491059557395088,0.9121205620868259,0.8756866971871379,0.9283269657849388,1.2635366695565842,1.1364965409905547,1.1073041462741244,1.2105088193538602,1.263320516333386,1.457644261166725,1.1199056898289885,0.9526910273516224,0.8512240744071603,1.0460431176024472,1.047694183208132,1.1093135048092737,1.1082284784154013,0.8754325863045882,0.714149595330593,0.6445301037435451,0.5755331443386931,0.6368046424477192,0.6474807254335796,0.7476911492296929,1.3037796645472872,0.6739615825949823,0.7388824965727061,0.8718997711837583,0.822062920623796,0.6925755407780188,1.009312475158522,0.9744597010810245,1.4731062133818236,2.5644418527249218,3.504924504860358],[0.45889360240172805,0.37834496419026387,0.4101323300481823,0.3724720715678535,0.36223963623513306,0.33845917856635765,0.30195865619641143,0.37413666868100925,0.35342658576029923,0.34513995976150097,0.4088801930777471,0.5270749509354946,0.3923794431875211,0.42262346942713586,0.6085040778673089,0.5263539655685489,0.5203408633608277,0.6071502351700706,0.7068563607301501,0.6602362155245834,0.7333462707057754,0.7440457612544391,0.7988886415473135,0.9248254713751205,0.9222595591658379,0.7650515131106229,0.5748480678966381,0.4995984722847073,0.533028948286591,0.5271385047582058,0.628325997021683,0.5610425414045083,0.6866318787775819,0.6635869484739759,0.5970377475792842,0.5760127450673098,0.5382956556917563,0.5127174379116366,0.49020454299686017,0.49955661610948243,0.5790378562518703,0.605922710488213,0.5974190158222933,0.736650038327497,1.1691521456586598,1.7414455488656788,1.7063650995464708,0.997725522707952,1.3455427209256001,1.2593819809161377,1.0058722870571197,1.6120764952547246,0.8718555498652115,0.9557272916686417,1.3584384477141958,0.7056141178501867,0.8068252288242214,0.8786139147470596,0.813878427629944,1.1505326037870456,0.8047652960900523,0.7779379017902869,0.7974587780168163,0.9987603692604103,0.8082546476906904,0.7552566087980553,0.9670232461663338,0.7718479657502239,0.967531452212466,0.8560522167148242,1.0931839172922895,1.2969099109861777,1.039978730725695,1.1311536851725843,0.8077311145222915,1.510561108969678,0.7575151525876962,0.7540030001031167,0.6588425821507763,0.6827885865025329,0.6288420387038858,0.6086837684468548,1.0323472225611112,0.5707080087600455,0.7262022534663365,0.5621156649961455,0.556745480286798,0.6289969670444289,0.6043974484452135,0.6949939826493935,0.7073987759610889,0.8668612984423473,0.778867734067861,0.7107658546312938,0.6506192269478276,0.7416201272662972,0.7083279867990343,0.6310903919827084,0.5805726639867969,0.7875702930863204,0.5903741405824526,0.6316275472874492,0.4983102877374198,0.49171470080584073,0.508842796339637,0.47401533022956155,0.7453045754636423,0.42661612982175684,0.4898174026481453,0.6514481317384828,0.41653948257870993,0.3248516636089054,0.3053002466749861,0.31554361590868685,0.4055853354984715,0.38587444453225545,0.4586052576282987,0.44288746500380405,0.6343935791314265,0.6083429972208542,0.550694008630359,0.5482321160074095,0.41232565726959414,0.3599049736536604,0.3104863327247549,0.3145153800984125,0.35925814188192456,0.35764791438501564,0.33436673726427507,0.3832125235969822,0.47095485739643855,0.4541064136747941,0.4088118549299552,0.5193191749576219,0.43218181362315705,0.5089009984206782,0.6879990206979119,0.4252446169658687,0.484834899673889,0.38992975554021037,0.5016250532097088,0.587281625022034,0.5273849482502675,0.4106797690430006,0.413673288420346,0.4465397378611722,0.3660138285018885,0.4140104408064416,0.34210578116881085,0.37974126353641147,0.4938702788998386,0.5231625618608516,0.8452629508152907,1.4573818522153161,1.003907667807744,0.5990977267148665,0.50448406175883,0.4890613074701326,0.44341295370256695,0.41288412334506414,0.38452048059137817,0.4023444232691685,0.3637785549181543,0.39552858920691253,0.40925877327076743,0.5835033179654361,0.5896910293356539,0.923147535837888,1.0911492944380508,1.0372072162322101,0.726431133496084,0.37336462214568333,0.43703401547180293,0.42073953958923416,0.3796190616681757,0.43406988013087644,0.4746054956996941,0.7017856560371132,0.43680276037486443,0.5021256229770273,0.6256937648304669,0.3608512050004264,0.3758815442513746,0.43845471981907413,0.486943350657361,0.5016559208010483,0.4502545102089766,0.6780572136779062,1.173440981359004,0.8115281836919742,1.084624289225833,0.8455145867511544,0.769309600948619,0.7241556793855266,0.560764875085975,0.6482947670277015,0.6982041372946226,0.5637537970449094,0.551642364022611,0.572007152555107,0.47225889159935786,0.4529258359670462,0.41800410973123586,0.5110321441027863,0.5301683616225717,0.519918466154898,0.5955800448032588,0.6134236908255715,0.6529021343306132,0.6119287759686441,0.7307319965330229,0.8162182788986762,0.7766190641428496,0.835318343375219,1.0401980225518657,0.9501907025313148,1.2088632264737507,1.0184668004474187,0.8682897023671521,0.8765277977181528,0.9146871927356509,1.7825401008569766,1.2375374002095925,1.6824810887898092,0.7546229991108895,0.7547132541262703,0.7930493332534643,0.7811002106530347,0.7361158652462212,0.6501169542955363,0.712752260666818,0.7568483329299383,0.9174296915921111,0.745605941581888,0.9136688951445476,0.8423650060362494,0.842046633473557,1.0446831579385878,0.7047558777693105,0.5217905998467328,0.5774406919791655,0.6628885975209915,0.7429716701542554,0.9486043920180002,0.8475292857673304,0.7198317321300851,0.7629701828069427,1.0050845565119433,0.8193923012516514,0.7013870279028128,0.8977945137710251,0.9724544742398927,0.781411509988111,0.8785628851870658,1.0516344180028774,1.012875950122387,0.8634765104022087,0.9363695253063861,0.8289598744610617,0.7867938369612143,0.694234496788776,0.6852014137565288,0.7726029398539667,0.6624432730904026,0.6120250457070203,0.6922331667571223,0.7339268489780056,0.6289089146051108,0.6957726247726705,0.92171960950799,0.8058860829245942,0.7311160300966698,0.7995644120538774,1.1383686808927715,1.0314973009383759,1.0164674650269432,1.1194076340974524,1.2064280804060095,1.362534922301112,1.0373674755819742,0.8599780365771096,0.748446134245015,0.9826825521205315,0.9642961319832523,1.0242212554197212,1.0503482973014915,0.771518944706427,0.592169205161281,0.4905599853457674,0.3832738920521293,0.41566327801958325,0.5888647337221599,0.8122609179427863,1.376371122237655,0.6706548126903373,0.7298456264683864,0.8613035643502106,0.7251497097543814,0.562926813356097,1.1922582349194337,1.037241584949825,1.973863800047078,2.8410329462326165,3.8648305765989415],[0.5253701059844909,0.39902176878142565,0.4514722126892007,0.40247001553992445,0.3721553715927654,0.3813446666125092,0.32277252932088285,0.41203745195738894,0.37043640913558074,0.38447357058313253,0.45433350751746776,0.5871494714548599,0.4437409862931053,0.46375004045401796,0.6784096194481972,0.5938958774415991,0.5664568498249394,0.6541493478874981,0.750198314025659,0.6981961942207896,0.7639479587096757,0.7714276544377845,0.8094675151507301,0.9346676251115194,0.9015545699657402,0.7818635072139305,0.6004823790526916,0.5445820369564454,0.5847879517283703,0.6079453418231732,0.7137582587596377,0.649980328747674,0.803459947526632,0.7719164261341569,0.6961046301507777,0.6585078092295145,0.6268175856096999,0.5853572547601528,0.5401871857752887,0.5674758925594738,0.608264315661401,0.6452508683870597,0.6467399721152549,0.7632278952114473,1.0953769479562352,1.6586652861395523,1.5765006722308235,0.9879669640337813,1.3336264211098865,1.2189121558186928,1.0714930239962923,1.5265329102228624,0.8845251254096765,0.9320832802934703,1.4465032445077894,0.7885790862058024,0.8951171486568384,0.9145319119573179,0.8938239249963823,1.213649826560169,0.8590312643372539,0.8627591941163747,0.8595253756073098,1.0895046531306984,0.8718422858702193,0.8144440305165981,0.9761608756384238,0.8254336923418999,0.9741746863732441,0.9051239156721909,1.133008575503999,1.3569144970257916,1.1080009359737473,1.1632780682550161,0.8673321388814677,1.5353428869525425,0.825200309477673,0.8395960962295113,0.751710844369472,0.7688597838721594,0.7386570714971126,0.6955843263154208,1.058130474338155,0.6754915350768641,0.7707472755684845,0.6363047580793094,0.623907310019077,0.7147460509541135,0.6824263579143646,0.8047423009235172,0.7978814512039928,0.9409535164980719,0.867757426540996,0.8079014599756846,0.7358454138577769,0.8314127257805867,0.7681888777338656,0.7301004189919776,0.686626993900122,0.8745118958386275,0.6919393017041021,0.7044205338018708,0.5721395885647084,0.5963995031494146,0.6196817865317548,0.5439906220973957,0.8105672064452586,0.49036146957936,0.5472113232475109,0.6982208452808657,0.48514923508174496,0.36428872896445913,0.33050124955079707,0.36575820386990626,0.47470504981912554,0.4247264663578429,0.5003460605832685,0.47235033672139404,0.6344716352979045,0.6471667749472728,0.5687375212490271,0.5727430688487027,0.422119611239354,0.395210477515239,0.3538046846755022,0.3303612210618892,0.39041718310889323,0.3783503797192143,0.37306006119196516,0.4256696136550471,0.4565990339600637,0.4926550387262412,0.42082300170226267,0.5794506872569148,0.43899935708192545,0.49178892611566194,0.7307947276533844,0.45508094805962496,0.5262901383965534,0.40116494989781204,0.5637123090288195,0.6052000695366513,0.5494150937898894,0.4490488116469059,0.45254173106690887,0.4930053389815321,0.41221489915353154,0.4760708954457637,0.4109004277249065,0.43622021698499525,0.553987609865131,0.5840538158660586,0.9304277601778537,1.4988788780557518,1.029236339048098,0.6834150600759074,0.574892421744784,0.5706141196241372,0.5346482991921886,0.4725032657606297,0.437362668510977,0.46260415049788595,0.3901087121311358,0.4408953340786831,0.4495796287997014,0.5610486046803385,0.5394061276148738,0.832991574513955,1.0092081424945785,0.9787969304821955,0.6761398095564787,0.36857353640224205,0.45253939251988273,0.4721770096658889,0.44740534738616644,0.5119460365315293,0.5346992727602641,0.7531702111954387,0.5027335062103764,0.6028721126207409,0.6321419391202409,0.4378171341072416,0.4285541064508263,0.46727041283560766,0.5060535261071055,0.5356893830593583,0.48545076721918873,0.7037595591411662,1.209421137325086,0.778530902847084,0.9709716052327376,0.8313601083926678,0.7145986125945293,0.6719889325769677,0.5186943100455237,0.5668333224818102,0.6600906973379213,0.5232540120866758,0.5136737211302747,0.5473396639271063,0.5005814145727767,0.5133759068448551,0.4480920245639565,0.5427010885389975,0.6089627059417568,0.5884646841010229,0.641533510637841,0.6836571451394354,0.7360237186400207,0.6885048805775102,0.8072050475366678,0.8940408657599693,0.8417944363112753,0.9249758471430727,1.0898459007257515,1.0061979231885647,1.2566420091689456,1.0620262878489974,0.9277657698697018,0.9401224677229463,0.968820071867816,1.89398016397266,1.2844208765105314,1.7683121178428425,0.8324543473364192,0.8483720228624473,0.8604970252744467,0.8621990536554032,0.7964940804018154,0.7014525190047457,0.7410124419340427,0.7568115680990721,0.9177943029400453,0.7287844450423604,0.9233264391342789,0.798059349250603,0.8091726082344289,0.9633851825751015,0.678672770428827,0.5216000198226668,0.6004163710786037,0.7329022465331164,0.8229059522880273,1.0535284054804888,0.9294279475877966,0.7959415209365163,0.8728764877102757,1.1041881916432974,0.8876124534111655,0.790818216712372,0.992427309252506,1.042691170553764,0.8553338826793628,0.9688445570141648,1.1337929171604813,1.05132440972406,0.940059484481001,1.0114851024291958,0.9266826629517726,0.8924741250494891,0.8055903613629548,0.7999894203919169,0.8705138185117727,0.7447111410619577,0.6873982640175996,0.7591921843561835,0.7886279690129241,0.6733537915430139,0.7410555762058402,0.9386224566988044,0.8349748163690519,0.7318319975691124,0.8216742407229725,1.1110511268081398,1.0160654099133286,1.0205968379591734,1.0988877393169871,1.204407852400588,1.3943111844299905,1.0627631819681953,0.8930739564452341,0.7902805711006687,1.002029598871931,0.95782866183699,1.0065265110351007,1.0045803596513607,0.753303212943537,0.5737187013808996,0.47302353303881073,0.3885433403697454,0.4363919863502791,0.6066839631501453,0.8813752196979848,1.392353250993528,0.7124033190102206,0.8151641631783468,0.9476504592348675,0.747652058932226,0.6169424281752793,1.2921237033692492,1.1692524656152044,2.1326502734242725,3.1038515954698864,4.263460460468998],[0.6476984980930389,0.531356314131975,0.5503372122691478,0.5107296597244471,0.4657945286850872,0.495729955771598,0.41563996920391133,0.4410422888530868,0.41211336706675344,0.4163874090076998,0.472142183116731,0.5561027466453567,0.46554984296931085,0.5108379500572937,0.6674332219861014,0.6058080168754152,0.6021410240496102,0.6947302222304996,0.8437970755882132,0.7713581822925426,0.8569864962641527,0.8593846883189611,0.9111441545972905,1.0428615739167348,0.991165379224611,0.890683400709879,0.6956462281285318,0.6164202320686212,0.6283271462288588,0.6191818026122932,0.7355319026419539,0.6232569208474339,0.7821011952862775,0.7406467301021523,0.6898796691228692,0.6710163575011873,0.6079058394010246,0.6322526578589353,0.6216662833508586,0.6298133689113973,0.6819101448854645,0.7292270686853771,0.736955931565682,0.8485867103980517,1.1797426861789835,1.7021156905871784,1.6631706988815076,1.0684129469580264,1.3650216516276985,1.259993956438942,1.142965382190736,1.623604165080016,0.9628833710057587,1.0564790179712331,1.4679396209564672,0.8393454406288843,0.9170916488237646,0.9693570896714991,0.935075035390392,1.2826587187605363,0.9653335966415548,0.9552909022988667,0.9394515282292718,1.164349886169228,0.9729936404944304,0.8884672037760427,1.0594438601732987,0.8708685578375769,1.0433210663141181,0.9380892137656439,1.1686124061233616,1.3974770743171834,1.1392738119057733,1.244020493313548,0.9200209673565101,1.6192172162398475,0.876999709043367,0.864220587622839,0.7729235907911263,0.777334690077707,0.7204742616323269,0.7026684803563295,1.0558079398271316,0.6878018626584811,0.8030543718139266,0.6330813367142936,0.6519970050163965,0.7036498779479218,0.7018458556813736,0.7998281775992797,0.8005241546531354,0.9742172340698669,0.8694001266216764,0.7810625278122028,0.7139574444281237,0.7878094323574687,0.7305533617004234,0.6658589936311144,0.6155534853334789,0.788730916209942,0.6227019355371186,0.645232031985172,0.5311584558113934,0.5517616555512297,0.6044975547715719,0.5522386411289999,0.7632183612627145,0.500686052165943,0.5657279218790798,0.7030271760841361,0.49071618414080886,0.42374739904918535,0.4272720177113377,0.4226712662184112,0.5073795367770082,0.503768667907247,0.5715828333660117,0.5896060879083495,0.7707100740792633,0.7199980532811376,0.661129613955739,0.6512360624363003,0.5195891923407191,0.46875809270555996,0.42781602585391676,0.42128224539006787,0.49397469637692437,0.45906132866263694,0.4442834600320897,0.4923526050812088,0.5613128054094356,0.5476497098445963,0.5015723392339031,0.6037630694001064,0.5395247658869016,0.5914700508229254,0.7541133135985764,0.5305500197164944,0.5975842221670922,0.5019653154964047,0.6484777548302606,0.7241334365469015,0.6530236010142572,0.5660241228906222,0.5495884590667952,0.5478333165727337,0.47523233630113587,0.49947552707745474,0.46045016031284963,0.46943868507454994,0.5593708982235045,0.6005834728441445,0.8761083306351222,1.5268597639967634,1.049975439382697,0.6269331196436877,0.5302224765953159,0.542760231044003,0.5058841698392205,0.4863363881086256,0.47755530301386373,0.4990179411139736,0.49465935828633617,0.5216860868620348,0.5287367361964717,0.6522867918713691,0.6383075246140214,0.8949178520180004,1.0554498934085013,1.0343879282378863,0.7673247398138543,0.4816948375590872,0.4928809256769323,0.5010063039020997,0.4847457989721493,0.5305159865911937,0.5418972315943283,0.7441516131677471,0.5352668855845217,0.5864588070933483,0.6931237469435599,0.46885532997276214,0.4807138978512352,0.5253178574515793,0.5584216414321364,0.6043368441026132,0.5740421820783631,0.7439290421635322,1.2544594254191996,0.8246096854489797,1.0888927472580525,0.9264666836764239,0.7997695845967376,0.7594030496512706,0.6180894880044993,0.6691276663720155,0.7466381904701,0.6216644746248099,0.6150895089647344,0.6579002914875501,0.5755439187124366,0.5497382488855402,0.5272740205759503,0.6177060061273089,0.6509852202616582,0.6426079248542808,0.7079021277027291,0.7410770982048657,0.7785868712415279,0.7570639511654889,0.8589998759518461,0.9400950731859832,0.9087259973895385,0.9788017621696644,1.144053126807445,1.0515658491688524,1.3043874833407676,1.0961911205334491,0.9516183532072551,0.963680634777359,0.9753289462672319,1.8343940226821442,1.306503658616161,1.8464872755691648,0.8511439964163187,0.8274781544667711,0.853479467972284,0.8719891647592023,0.7791318029941144,0.7339702028198395,0.802348996946878,0.8347648290704871,0.9856634450884028,0.815788668299295,0.9959876032528344,0.8936778988401652,0.910317665971727,1.082122104915791,0.7522254323560057,0.5984783872867364,0.653960442773065,0.7906038285105673,0.8642261642600754,1.0126635958062176,0.9310216919794041,0.8094306899098186,0.8498178308669266,1.0905138244314998,0.8771435477206995,0.7939725019733661,0.9724640753633793,1.0238125410271364,0.8762332279336764,0.971998975152163,1.1169183388134027,1.0613235814248967,0.9740015810907265,1.035088556405462,0.9466774281928771,0.901803904419728,0.805512183566858,0.7960212565027104,0.8728381595935681,0.7591961905049568,0.6995139743301483,0.7694728189862573,0.8137083929418739,0.6981846214573283,0.7527651139865074,0.9628413675187121,0.8637106533808105,0.7952413477824378,0.8423923365054734,1.1730917300619088,1.076626139344631,1.061334312546161,1.1624809990502043,1.258108317844199,1.3783103078833672,1.07940943872365,0.9285428899815975,0.8376711495139992,1.033343871040039,0.9962576736128632,1.0449767025797976,1.057157712350225,0.8275662887499895,0.648370144279748,0.5794503962611671,0.49945784397234677,0.5028621417455786,0.697943680106083,0.9780201484086593,1.4575840446911992,0.8162387498310056,0.9082561679143051,1.0881322636365713,0.841474848787765,0.7694582583603381,1.433030829576668,1.4373995522304803,2.5041393742726408,3.4229040231659456,4.58060815256584],[0.5111652329021515,0.3852318297221683,0.5142873113518183,0.42816560208559556,0.33354773424175094,0.4407937942315636,0.30741524840392753,0.3777580230937429,0.32601058831254,0.30741325233626265,0.3827187864681766,0.5024471441288162,0.40100681480728645,0.41026442171614314,0.6740784730707521,0.5966694597124655,0.5462688662311234,0.6610173293419395,0.7720664738965379,0.7057019941798353,0.7896909331262575,0.7853204732668302,0.8457909004608624,0.9711695258947751,0.8631367008449203,0.7873180014069194,0.6027565199966761,0.5357665509754475,0.5841800769266406,0.5863278225186607,0.7163487510571532,0.6289127791074174,0.8125350709155659,0.7782054213156594,0.6940414787529485,0.6551688059951953,0.6207293465840821,0.5946598963680184,0.5395530267248237,0.5847572121422885,0.6049582176644874,0.651713755044903,0.6710350694606373,0.7243204929799013,0.9996613540880406,1.5363826818034478,1.4158014649707917,0.9166612105631489,1.2853610149512127,1.0978142025488205,1.0786653343738983,1.5356837616127965,0.9000500278392863,0.9836113646888294,1.5427818485088884,0.850876770411909,0.9262169392286407,0.9608658185318153,0.9592474222013495,1.1968483894548314,0.8859768672570391,0.9193413530680171,0.9227137062914796,1.1910833277535005,0.910385224636245,0.8482798701382331,1.0019375711735432,0.8409793451923062,0.9953303369647699,0.9178681236631594,1.150399758175484,1.421829252590016,1.138450268331193,1.2020784887029945,0.9023996954898676,1.6159507461178233,0.8734175777508797,0.8773285734956027,0.784799761677092,0.7953893517057335,0.7572863857001056,0.7237542543056483,1.066031430121751,0.6921162855582308,0.7534910277428107,0.6367011941502455,0.6424681281197024,0.7194544994802382,0.6992763666511699,0.8265966343827105,0.8265642745735144,0.9718112346806704,0.8905513922738478,0.8306731304358653,0.7382753215054066,0.8418309960015874,0.7407626794620545,0.7018504388331516,0.6480864924420526,0.8349591102144075,0.6531598956380489,0.6682215542397466,0.5446705684953285,0.5846174571398591,0.6484430121904042,0.5432775923076996,0.7949978082072569,0.5024089794374856,0.5669840795603757,0.6841804717372219,0.4800788822940092,0.36000174211486946,0.3269810814536889,0.3308853793934727,0.4399085957393254,0.38949164818904725,0.4725580047864021,0.4444859858143093,0.6508106487643527,0.6272383998257138,0.5518438540611278,0.5309272348570522,0.39609183142516174,0.36701954488329486,0.3108765635269567,0.2972816377051784,0.41071319463906586,0.39217712070750643,0.3829321083779804,0.4370655286445462,0.4726972537409929,0.4984503014409371,0.42229066609257737,0.5920982853426557,0.45530185660557676,0.4770211395171662,0.7063293637959778,0.37913268424971375,0.4806122618683516,0.3613176817719299,0.5073888178153538,0.582043221980495,0.5316841766387373,0.42822348242000396,0.4386748618707391,0.47522388686148315,0.3787162628190793,0.4322284517046982,0.38617208139628995,0.4041506027060266,0.5251631454183953,0.5659945801091382,0.9125746839857494,1.5281459114175373,0.9924953256747556,0.6506582552827056,0.5313447141415115,0.5431216993944105,0.5128182984832035,0.4497908487939435,0.41325502777392575,0.44568383613978696,0.3697044240996913,0.4295324912709881,0.4761577020158639,0.5199779530332798,0.4968350457764136,0.7300076299504042,0.9478190688547465,0.9385772641432408,0.6625516006155155,0.3436800522727475,0.418593367481476,0.4278666307746966,0.425232102945368,0.5009242813928247,0.519647874020778,0.7849463130283861,0.5099861073609423,0.5881787955259756,0.5898343374004453,0.4350630488205537,0.427590161218401,0.4458043878521502,0.4694833026689594,0.5094551593028344,0.4965338033701288,0.7037126909852739,1.1556950402725852,0.7310941424212734,0.9871183133994289,0.8474677190461375,0.6823361891308649,0.6446349083039252,0.5092455685901569,0.5657117928653033,0.6748824421945286,0.5331289465014137,0.5419824308000897,0.5746053806982448,0.5686764603228828,0.5812978357802214,0.5111135028312245,0.6182221913020546,0.7044541503839205,0.686644260737564,0.705513453966657,0.7742796926372494,0.8373822175737182,0.7982388228464342,0.9005044324212516,0.9934359637135928,0.9590485093347216,1.0435358229641096,1.1779227216396455,1.0766681376638945,1.341951762992395,1.1162784522905689,0.992784566082208,1.0189603437022439,1.012594884904343,1.9821726950153076,1.321660089940913,1.907207984138065,0.927987654606226,0.9467208471223715,0.9395596072547145,0.9568816438409555,0.846978243286067,0.779035009148712,0.8199175800820984,0.8274014585147634,0.9489460006865805,0.7629085196512883,0.9968432269788191,0.7756812230652113,0.8211020367752211,0.9805783447063986,0.7068513607455321,0.5713480482799681,0.6782893358750444,0.8263470114477405,0.911525570427986,1.099498053124519,1.0102411849964146,0.8684884132901315,0.9495995958583782,1.1944778779037843,0.9514132296854086,0.8702088552357912,1.0328690527104925,1.0648767988473413,0.9273471703599564,1.036752010273592,1.1844141280557894,1.0969710658931355,1.0244331505906734,1.0898609514474136,1.0168371078458913,0.9758996639825342,0.8873467406694874,0.883501260913007,0.9525648466587419,0.8366269981745628,0.7856328515905093,0.8368825511207226,0.8625051781196542,0.7482062211619058,0.8078766624335442,0.9542593103227036,0.8842624383089873,0.7658906603814623,0.8453692265402026,1.108428399919596,1.0426819770123188,1.04945742249563,1.103432801163936,1.2302382441762492,1.3728894499464879,1.081461469060068,0.9507696414598298,0.8565781613476464,1.021320547291288,0.9729704266197213,0.9969302502379207,1.0141806908850077,0.7725925019666685,0.5939043684296573,0.5038006868209739,0.40501618192660027,0.4750201247205369,0.7093752056316975,1.0383103794736739,1.4418986070150077,0.789103954449165,0.9854921710952151,1.189785064071882,0.8262822948580341,0.7598826783699589,1.526077055989661,1.5903167441783406,2.6838683371119387,3.775252704034494,5.116557500823384],[0.5763139504763,0.4372895411256557,0.519250637361931,0.5095117489608759,0.44375293683171907,0.46469593712983415,0.40319822449659165,0.42397292774653667,0.41219114781849736,0.4186002913699811,0.46875791087928365,0.5443731877080209,0.5069171370753385,0.5218418233372246,0.739604047116625,0.70212564870571,0.6882229561532542,0.7971452153094047,0.9180449758452746,0.8608758274135551,0.9722118673029165,0.9587709626667748,1.0433168279943574,1.1656838465589008,0.9829318491071564,0.9450486893186126,0.7686977871036214,0.6961304038854524,0.7226711590539143,0.7065819912932035,0.8437830843917086,0.7132435681079436,0.9275426294575488,0.9016540186457984,0.8154461713515468,0.7971719871159033,0.7316515612924355,0.7422938398968405,0.7047136618737547,0.7327474943106658,0.7769609229517445,0.838855792461195,0.8704739123891965,0.901632577537017,1.1195838327089234,1.5497197057004544,1.4687282058288496,1.0637688642060639,1.3575218887162175,1.184261729151486,1.2724649681506552,1.6175999179540441,1.0271562610396676,1.1172163374335167,1.6388519891496074,0.9888679134123004,1.041202034450884,1.1302643334201392,1.1216064336798308,1.3335476595532934,1.0601249912053594,1.1073532807641844,1.094417111876898,1.383575186304354,1.1118862599110626,1.0362283607732925,1.1449254135615354,0.9934775619323779,1.1116476846255086,1.041050987201007,1.2343847600069362,1.5287179352163713,1.2537119794394243,1.3499356725471747,1.0381694009160596,1.7506262954841585,1.0242658614505706,1.0416712489564341,0.9330685455293718,0.9478041433807447,0.8726630478289472,0.8310726712731369,1.1475938239012247,0.8102868717282583,0.9016174044095784,0.7486763024344008,0.7714570031503134,0.8142346111747091,0.8375271665427492,0.953873801898089,0.9729254902120831,1.105470787055346,1.0301744635083676,0.9451255361291663,0.83348183155953,0.9124430598544888,0.8025579822107604,0.7518881462872398,0.6785750250933148,0.8426754140723027,0.6820453581512573,0.6534289890994608,0.5943996075022397,0.6149381348242821,0.6855468475889107,0.566649336430446,0.7483026530569888,0.4930804380134061,0.5385650058157553,0.694234445646155,0.4644359432638919,0.41094291396860183,0.3914945640865785,0.45964978683353536,0.5765458398907732,0.5583210676525524,0.6343586288221446,0.6343721736596605,0.8459766258517333,0.7735893211657706,0.7173112053204136,0.6934691976842582,0.5800285965643456,0.49093086121779334,0.4416401930982551,0.4283514688176074,0.4567600964147104,0.4516086901384735,0.42185323186282503,0.48227744286818486,0.5011535960945138,0.50288409820664,0.4573384900282719,0.60395124130172,0.5074628150067566,0.5244743221824476,0.7291019235491375,0.4838141890312634,0.5691818292217268,0.5053131076062388,0.6455675231562845,0.7475927175226194,0.7119130091333155,0.6145393286524737,0.6155967834548187,0.6230194144753354,0.530189301728091,0.5245358199504729,0.4750866485518116,0.44239495452336103,0.5134888389311562,0.5798672703944736,0.8814935975357892,1.5917145553548095,1.018338912631933,0.6591155864209529,0.5524217965443918,0.5483184832623637,0.572065472043934,0.4914022020812924,0.5084550641980237,0.5687864811893638,0.5213504972493003,0.5931720444142811,0.6005430874592441,0.6188471943088446,0.5750582741709563,0.7480282054514418,0.8933622848951269,0.9150243207368634,0.6760733486437678,0.4575651517533702,0.5132505757076232,0.5176578977542386,0.5215913411034824,0.5751038154839768,0.592462851746871,0.8227736930149853,0.5987757308671431,0.6349877453948555,0.6386523871540809,0.48641292175367956,0.49089556731820877,0.5021998233709548,0.5509226288529911,0.6355523508497037,0.6296493590385952,0.8049101061078731,1.2358070068981772,0.7955025605060723,1.075284944991379,0.9558879386226875,0.7354835477854729,0.6829651197670771,0.5455815256020421,0.5778733892145188,0.6910918086574815,0.5186441980008005,0.5091918745581433,0.5618944791576255,0.5068285401692207,0.5407726009302177,0.4732359884093716,0.5663192308761548,0.6399172091448171,0.6317016730332855,0.6588790539890297,0.7043401627594468,0.7834045894609686,0.7468655842022672,0.8427352691799114,0.9285007754185344,0.9042366520477765,0.9945435544819224,1.1310842590925174,1.0338113015453967,1.2889395038221607,1.0522445505311349,0.9204121975871357,0.9567600409522545,0.9409072770820736,1.9658528266812267,1.2213147221225196,1.8619284137923622,0.8798365703924351,0.9013542112044383,0.9023755343188364,0.917287653745609,0.7876064737199318,0.700860971665287,0.7586848200309443,0.7561032328578491,0.8478761656007665,0.6778738274687959,0.9891463782779534,0.7075858814597068,0.7715116641950817,0.9736620419449755,0.6427136020148292,0.5611094722527937,0.678954696464035,0.8019910206298301,0.9042146233876246,1.0687568416947444,1.01064862777401,0.847082603803871,0.8964700195906438,1.1400748116195356,0.917727743379759,0.8344786095908069,0.995288588625031,1.0270820417486117,0.8905518370045136,0.9893129080403772,1.1480463975874073,1.0539280618923015,0.9743182249146556,1.0384033440837246,0.9581440509133119,0.9172760799142136,0.8287536591623803,0.8205236268996517,0.8831315942386456,0.7708107433579487,0.7186095109217846,0.7683680455956219,0.7991155855964005,0.6911965109608496,0.7409440724457028,0.8991472849801295,0.8236099025550344,0.7072277193834484,0.7752366461694251,1.0813505089817899,0.9955499200365299,0.9848701274885426,1.0751371151024725,1.2086576966167266,1.3160934320662647,1.0408563481919662,0.8945146721064864,0.8102977158850081,1.006240881458669,0.9290099098071568,0.9430432562984491,0.9813407438524148,0.741351192266371,0.5877403239079726,0.485831806498214,0.43847913253286014,0.4801723888621183,0.6514947606128023,0.9869715076141484,1.436761917132348,0.7976743233457173,0.9462155141621099,1.1928305244237605,0.8473758426692614,0.7647944313219469,1.5016991801388808,1.7105767919462074,2.975335025723984,4.156811522201407,5.576399818943902],[0.5707138393927338,0.4495492801944778,0.5130972532243729,0.47658286206715295,0.41547555730089863,0.49139834135065386,0.39098208873624263,0.44562944783640895,0.4075560698465881,0.3712278642389347,0.4188943641119492,0.5504935615711911,0.4734352546929462,0.4631426614051651,0.7533175405447377,0.7090942620332922,0.659055596138382,0.7800388999081588,0.8858220228516646,0.8360989950352063,0.923181719884759,0.9164393725267126,0.9988580123428906,1.1472920334901695,0.9233747479104504,0.8976175858231649,0.7304138036991528,0.6681774156796423,0.7088216313774909,0.7079328290662584,0.8506757964669124,0.7347186348049659,0.9395115344138487,0.9193559746765009,0.8330862858411613,0.8004905924161211,0.7607717956843005,0.743021853169711,0.6871876575891693,0.7357503831608531,0.7179487875297865,0.7916384829248704,0.833159205909819,0.8327001245250556,1.0088937323557108,1.449378046966187,1.3275862351764485,0.9946653664186619,1.2746990480393579,1.0940000302349278,1.2715146904971337,1.57679363831824,1.0129339493686151,1.0947373823267381,1.6583471663241178,1.0145608839182865,1.0540025297590492,1.1138529813659406,1.1290329238004946,1.2839830606231841,1.0095739128917764,1.0830159732062803,1.0760466521277494,1.394142701760828,1.0841700397719347,1.0159516133372344,1.109856230051098,0.9705511896337272,1.0872781694806832,1.0199980222301743,1.2315915997569902,1.5011975587836102,1.2396422554886928,1.3182303513615696,1.0376666844208715,1.7480537579180986,1.0273009966172992,1.0384877484603763,0.9392039946274374,0.9573762666947578,0.8975426266031988,0.851872538651163,1.1464887340067615,0.8494526613992235,0.8830107161982427,0.7582408744969039,0.7873094376680536,0.8446580779951874,0.84993525037196,0.9698944630846679,0.9724986743333482,1.1073319631685135,1.0321955123160527,0.9631058490473794,0.8528910724167054,0.9387624362928252,0.8106508558853742,0.7735971150966027,0.6950419246082046,0.8845701510336156,0.7207830004832729,0.7052977861214786,0.64299492868938,0.683754016415158,0.770555911714677,0.6548712820778162,0.8579693463282546,0.5745403441854913,0.5977090912453354,0.7616332363808985,0.5315379975034092,0.4365169384983569,0.4051115309572321,0.436293148847891,0.5269831242605015,0.466007397939054,0.5680616307504484,0.5299177352865132,0.7437474608538529,0.7100113894254242,0.6365650316819292,0.605523737171569,0.4646210083687753,0.4322454303130266,0.3950752428916424,0.38316372723688935,0.4845669173627074,0.45083613690332586,0.4475597744271718,0.5533251529821023,0.5414644912387765,0.5699685708482037,0.49161849100906047,0.6940174072019676,0.49969190993540424,0.47923720372256295,0.7062542572783892,0.44020403292342425,0.527208367855985,0.4254261919704507,0.5404556812563842,0.6478958311933536,0.6096134482003942,0.5344491657549949,0.5606631455681458,0.5807415006325565,0.48775776988911607,0.5343769188521073,0.49085082022824883,0.4633041165869119,0.5571920438039816,0.6290013698980014,0.9806758353880047,1.6660313644484108,1.0676583552632635,0.7145230615562075,0.5886759929793702,0.5926359324066244,0.6130291648133819,0.5499231646932093,0.530515233616401,0.5785130878139626,0.47527161283782104,0.5735529142912302,0.6050126565037339,0.5688741573511351,0.5078952092976343,0.6265391610358552,0.7969946987373536,0.8389216550717438,0.6173516860547262,0.4111537440022814,0.5074601677356645,0.5206501505345311,0.5346765732331354,0.6134652419598388,0.6176548764802788,0.8687307571400343,0.6265810571279122,0.6872700720230719,0.6432122270381089,0.5468635357586243,0.533703404520709,0.5350006753952224,0.5622035612372316,0.6424595176571807,0.6180797469769413,0.8196045550628113,1.1892976542239582,0.759410067681439,1.0064289980631493,0.9402328542770684,0.6659622757729978,0.6314827549277884,0.5491124630001181,0.5696417176184013,0.705424648010924,0.5492195322955541,0.5503233764185971,0.6293139921885705,0.6039865230080501,0.6575686975443594,0.5707820565968413,0.6251386200994702,0.709591036066054,0.7029174004524772,0.6837511355643263,0.7423201210326038,0.8392759789744939,0.7940770178693104,0.8777451242090745,0.9717836837399636,0.9637762654235201,1.0253198350304529,1.1310524807351383,1.0272543251559927,1.278712682560658,1.0210317750180502,0.9233633330633769,0.9703231582087639,0.9397265866772373,2.063121574613949,1.2178645936200219,1.9052258169024396,0.9369508629073255,0.9808950306136891,0.9842414739261289,1.0169963855452504,0.8549341825237616,0.7706102459674392,0.8308412139538753,0.8177645975574277,0.8696654614429098,0.7263398146402226,1.0898625062818674,0.7101926751812635,0.7784876039472539,1.0090248905797221,0.7003742009029894,0.6325988343952642,0.7343951868773281,0.8741994477673631,0.9947649771263798,1.1499960966660885,1.0963015954633422,0.936027097634923,0.9817627319721338,1.2311326215915273,0.9985433802364078,0.9171914619897606,1.0667590449704352,1.0870904443470255,0.9566101046814843,1.0540751601558993,1.2037699726806397,1.099597526965258,1.0179200246488316,1.0855780456865136,1.0062530732583006,0.9736651371521002,0.9031273877600193,0.8920848753000645,0.9358692148091357,0.8215968057949612,0.7819945902716523,0.8042925909707671,0.8178932138185546,0.7136138804313756,0.7596744039175055,0.8716654264583702,0.8342787728659835,0.7114725106225783,0.7871463850934464,1.0408910336557808,0.9737954790053511,0.977539565179261,1.0290435721744144,1.2049641814905003,1.2564775840636928,0.9883550045079971,0.8747697632591539,0.8004063481545672,0.9477135913338698,0.8796118207673294,0.8888720512797537,0.9384225774710514,0.7245277311405512,0.5934636269974389,0.5384777535141816,0.47149433836090304,0.5408325277219794,0.7424715937899338,1.082849881371528,1.4702572768448485,0.8912193163800955,1.0305838296501773,1.3034738279072622,0.9077018936883524,0.8220331901681622,1.5995219199970632,1.942189623723387,3.2637428995051225,4.591873082054668,6.128040649400867],[0.6994691976354159,0.6279050659753792,0.7150591592927225,0.6382953637258096,0.6243164967522546,0.7027623709966517,0.6233066577525677,0.6832009024883656,0.6186742446880799,0.5874127414264617,0.613779065980042,0.7218398218225552,0.6542224122308257,0.6187136672432476,0.8572395466368654,0.8373673476118191,0.8025716810554824,0.8926860020357381,0.9757135938946934,0.9611033138304896,1.0843355501941145,1.0470930339145925,1.1506518028023114,1.255199475052652,0.9538110004240691,0.9522916365149432,0.8433350860805231,0.7784511285209819,0.836748721022004,0.8231628226357688,0.945825738460863,0.8449594039697063,1.0323306752361838,1.0209171677892388,0.9480173137635947,0.9129298206433877,0.8778167960051809,0.8893488538082794,0.8314303687349903,0.8907249511419166,0.906483068911306,0.9124407980690993,0.9684753416042625,0.9269270018541956,1.0933069900410313,1.472618157844499,1.3599147947397916,1.0560575350901773,1.4011627076866129,1.0865007998619505,1.3178347596284703,1.6564026412765809,1.1561397798731494,1.181701353590875,1.7002526474088187,1.139146017433483,1.1745104231525585,1.2064894086918554,1.2473382521201561,1.3215939774554173,1.0960892168300351,1.1948063745660604,1.1927269979978457,1.5462650882819549,1.2120551970866424,1.1242122895428808,1.2141376247872002,1.0651680000009698,1.1694067382268023,1.1030249005941073,1.3050205792462652,1.604760826598337,1.3044198334519144,1.3862267957047252,1.1449822827336147,1.8848861310640033,1.1544178572379662,1.1467837757182386,1.06233960511158,1.0678097953268537,1.021154342178857,0.9608093162561455,1.2560387246671316,0.9888957942117391,0.9860949067284798,0.9027066912771634,0.91974130351942,0.9689449186889261,0.9643986308847473,1.0782788117805906,1.081815444846607,1.2062670258220565,1.1229619309829286,1.05456107634255,0.9340684804920647,0.9987205476772923,0.911115806012224,0.8602460876686109,0.806771020483447,1.0474070402780749,0.8357675150565007,0.8723347432493256,0.8094233043246537,0.8704966819648697,0.9274355451259916,0.875587315959811,1.031458232670735,0.8263523971630603,0.8429776041184858,0.9786308404734675,0.7772181530057969,0.6898008993928416,0.6426902752351681,0.6449555008397349,0.702419023941976,0.6170707352282928,0.6791167965193017,0.6419359558066334,0.8130649385672397,0.774006398699906,0.7134730261261144,0.7038544930062641,0.5811665656295643,0.6114020959229455,0.5956180143436672,0.5919355580754176,0.713489314267941,0.6756675651528041,0.694089944087597,0.7773364402943989,0.7672851194327328,0.7931137628295573,0.7072898158624082,0.8861442373092727,0.6891553976158377,0.6553546066129203,0.8340169924287039,0.6177954261724393,0.6749418312392866,0.6058916085572842,0.6471667104044718,0.7411447928406968,0.7168489957192559,0.6748091402162829,0.7076210914735482,0.7394672072741335,0.6663014413822708,0.7020529684166713,0.6973844470729793,0.6716423168756821,0.7423919640074138,0.8118217576992613,1.1263954712321445,1.7294300477261475,1.177318321696655,0.891936786861638,0.747703392374422,0.7598366375117683,0.7782544504409851,0.7247603528174446,0.7281110253410975,0.7505924485491712,0.6615965740238071,0.749543032112063,0.8115261133701083,0.7550879050484894,0.6645990383370749,0.7044115755197413,0.8120774988838927,0.8735242612498378,0.713708517073923,0.6063462827235927,0.698675918277804,0.6978628412347812,0.7130092625125984,0.802449017489133,0.7729609657313843,1.006844201839287,0.7914873453670964,0.8759380830866944,0.761752083271727,0.7501153223388924,0.7461132986376955,0.7310716423239307,0.7419663718324929,0.7863028942037636,0.759735831630959,0.9776525081287577,1.193247469497096,0.8657976057864347,1.1147602382947515,1.0267365687641687,0.7817412521191913,0.7572270541487469,0.7250358901007495,0.7683036194141899,0.8785139544233633,0.7708772256724096,0.7658765060406078,0.7934642903881008,0.8371386419998119,0.9062791155877987,0.803122041816215,0.8289560198874452,0.9532903552066979,0.9408165055916697,0.8459594513854116,0.9425101665917823,1.0795921831770083,1.0068341762049253,1.068297046744915,1.1693474032017943,1.1695633848114646,1.172454824083282,1.2674964780719395,1.1792589524098525,1.4259515662845506,1.1170332630425595,1.0784554216811189,1.150642722285794,1.137042728280559,2.2948604567417417,1.3492630807252801,1.960070547152896,1.162720505763004,1.236870645004377,1.2543571770089106,1.2930674219808975,1.125056988034942,1.0181682098703846,1.085085974713718,1.0540407514522063,1.0405488736051318,0.9040525152747284,1.2338394355745865,0.8308367478539794,0.8734489327102809,0.9987950556950139,0.828127682679175,0.8895718870075685,1.0146359633626987,1.1264920547598745,1.258316937828234,1.3616390210625215,1.3683416699758897,1.1899898466146115,1.2370180813868483,1.4441914786928731,1.2414646821833992,1.1539365301979654,1.300792204122453,1.3129158457119339,1.1903217054502309,1.297965590105614,1.446754079610379,1.335398674518816,1.2496106264291402,1.3222390480729402,1.2429274837812803,1.2218803432472398,1.1616225058903276,1.1523810812768442,1.16846438061786,1.0514093418064698,1.0440112141731657,1.0417342880877707,1.0340941382673703,0.93375341629237,0.9893512065859799,1.0469749132982678,0.9874716703011966,0.885762218942159,0.9411664937501332,1.1320763683371218,1.049581815924582,1.045907256082828,1.065390272160885,1.2529349457039818,1.2936215373762567,1.0595832309957098,0.9965996531003578,0.9427522414220364,1.0245345292673078,0.9461323651880977,0.9483002991530278,1.016654864322928,0.8599176533714087,0.7693939062589848,0.7510802902666767,0.6955516532239097,0.7679807837662467,0.9443042893634827,1.2749270653331892,1.5565305857233942,1.0911524426202526,1.2555530716874421,1.54610200383743,1.1126219884600455,1.0285559238824846,1.7388869061916221,2.155435165975301,3.420103645519373,4.896264451921901,6.5732320120296235],[0.640439251552442,0.5341744241968441,0.6188281434948554,0.5748216239726752,0.494851768257159,0.5913026496611067,0.4867453372236374,0.5448661307097088,0.48478557241030595,0.4329863524401618,0.4654028729061825,0.6073153471923914,0.5248228051241444,0.48965210383512975,0.7352934631585505,0.7143273766687238,0.6852305282241712,0.7971723689699676,0.9155440449823636,0.8695263360787842,0.9756008577965137,0.9731590836853986,1.064793780046053,1.1981315274196405,0.9349035058683501,0.9289435546319382,0.7627985363184853,0.6918004046897528,0.7247689951298042,0.7178523581946621,0.8540671857288497,0.7350421689104976,0.9438554595842219,0.920502250134448,0.8453401768040717,0.8183540717278242,0.7735697741582663,0.7821831773266978,0.7334951115777048,0.798999736506668,0.7835584738847028,0.8412508661554042,0.8974772950220181,0.8710999143337846,0.9983037784475827,1.374851077610857,1.2571280946883154,1.0227518540446492,1.3160674347987817,1.0639254057549639,1.3528662289616995,1.5957097089323693,1.0734478526303852,1.1463990556283363,1.7007992707400397,1.070124991610312,1.1082825008337633,1.1564849279114093,1.1807694246855909,1.3034739804668114,1.0594598350015088,1.1489234825766512,1.135950568900916,1.4727682036837644,1.1489166973751677,1.0635161308576626,1.1469636229308686,0.9918127838474343,1.102357388723857,1.038603468230823,1.243405557943863,1.5415351971800906,1.2603041695095696,1.3293975152017465,1.0696973274549066,1.8250191271712004,1.0769853702057377,1.0607535274605282,0.9751262476894413,0.9775675734313011,0.9305940346390146,0.8722117764810366,1.170189911706886,0.9193606441517628,0.9051485016378827,0.7901782603074802,0.8165839600624024,0.8680724742235213,0.8749833770903338,0.9895800342818395,0.9925497929261772,1.1248760869288326,1.0429725046808915,0.9554612909007825,0.8359259552818294,0.9009325256718608,0.7929732433087625,0.7506161347847821,0.6933248799682626,0.9749590370974769,0.7309578688092049,0.7738215261626092,0.6846597659432653,0.7657714287881028,0.8476658195694301,0.7424005059461858,0.9086693428375432,0.6881847825142869,0.6988110717519036,0.8297730606177518,0.6367169092576267,0.5329536503796857,0.4911673484961906,0.49467956419893716,0.569314520417514,0.5064130249007252,0.5868060894825485,0.5774901548939267,0.8054627658953554,0.7262848864454589,0.676303988015489,0.6189676145615253,0.49747764942522915,0.4684167687042794,0.44744174943532883,0.45084617368477214,0.6068261456273555,0.5329122084215341,0.5492742826774324,0.642854448388638,0.6386663653685616,0.6580448901922226,0.5850730138770301,0.7449234611540577,0.5718080916084972,0.5323659496983998,0.7323259394584672,0.4973739371807414,0.5631329756568525,0.470307546666892,0.5744862963939753,0.7050762763098684,0.6572379558921403,0.5819400476569332,0.6129259402163875,0.6247948362309516,0.5307563179294249,0.556688935239628,0.5595070552921748,0.53300549878149,0.6397708910496502,0.7350309849952619,1.055281166738766,1.749522352514525,1.1939833057491474,0.7942340426545177,0.6360997381951482,0.6630395796867432,0.6649425688769053,0.5954775205562405,0.5937948241693939,0.6163745459822694,0.5384183801954796,0.6274487266292864,0.6831628363145301,0.6384310856442602,0.5531370707558658,0.6212110463022743,0.7532194308090063,0.8215222990072494,0.6397824522271555,0.48185612446207454,0.5478020449724119,0.5733714978724341,0.587696506280384,0.681175613409173,0.6561857772041011,0.8876004552238261,0.6649950412804607,0.7596566822287463,0.6498554219035826,0.6082277306891384,0.5993930472257076,0.6083154112497206,0.6351499318769422,0.6925555066093207,0.6652123293163366,0.8857252743388818,1.1750118224052508,0.7785290488424306,1.0376657705626005,0.996367301344299,0.7250609749025654,0.6748405997181955,0.6211258187780693,0.6478194802988424,0.7734415061342879,0.6419052827780704,0.6480545347349409,0.6973380202156064,0.7134535867873466,0.7834452844045554,0.692235687485587,0.7179429210163341,0.8326521124381844,0.8327650684240208,0.7602288466603844,0.8366086216760117,0.9658339891078621,0.9108233325748775,0.9712329973826149,1.0688625476548805,1.0784858183744663,1.104165008006802,1.1838394934414043,1.0919190809664867,1.3374263847184253,1.040124692121566,0.9820127003190414,1.0476925693833463,1.013218600599447,2.1622847315858045,1.2115463351379943,1.9239520556285423,1.0430392793761432,1.0918683890028706,1.1118209947905586,1.147732806180107,0.9670129604690854,0.884365895699242,0.9586264126101701,0.9429583185057443,0.9301934043857629,0.8006096889361998,1.186792135753992,0.7305749055321734,0.7745954299221495,0.994326533102694,0.7351104698835198,0.7444046988510163,0.8707017362262157,1.0210238581722597,1.143922300113943,1.256250904660883,1.2384010575255895,1.0660510215733952,1.1058100927327013,1.3237173555353388,1.1136758926140886,1.0434465502392427,1.1873288624742429,1.2041158479094094,1.0872401756909473,1.1755677374874418,1.3104757303911225,1.2248313449650676,1.1414519954332962,1.2126382126232917,1.1246812941643798,1.1014722488476612,1.0291959035642404,1.0106345485782642,1.0442712828982659,0.9330063093846409,0.9050839206257578,0.9078513239727435,0.9145926496602629,0.8160830774265085,0.8606198775988374,0.9461457546380807,0.8998881737371764,0.7789372983193756,0.8502008493883908,1.0414374232426953,1.0019505703433076,0.9818892986526356,1.0219781931741854,1.2210561947212952,1.203074572186401,0.9848884765595414,0.9179059603979617,0.8578776521999141,0.9523567073237988,0.8685811033001036,0.8604954302844988,0.9528901798518101,0.7636004252221329,0.6538212126584703,0.6336110226155692,0.5700250814071891,0.654731342071185,0.828946348687768,1.183885973385358,1.498730064429558,1.0357674720030876,1.1591671608181189,1.4903203022019327,1.0663099762768298,0.9443973358682527,1.6682279674159828,2.227054872235965,3.650644518695136,5.1973444020504385,6.80587440807209],[0.5717584074295932,0.4521557430791389,0.5027978692383843,0.47900588423620827,0.39223818492910006,0.4561288992389466,0.37140059183272783,0.4133905731009152,0.37004389875850313,0.3265216832524036,0.3791128298657789,0.5073757655845208,0.4432273560620121,0.4304693886100647,0.6742263372144792,0.6558659614609379,0.6386655218916654,0.7623224946475656,0.8987102638285083,0.8495882988393352,0.9643281397674462,0.9549896416453216,1.056071580790084,1.1937069798024802,0.9224989623315009,0.9116582848968796,0.7518656915199652,0.6616905676394225,0.6856432302669356,0.6684946273514936,0.8075944483561616,0.6667537287566244,0.9041862682369319,0.8605055694764258,0.7831792859613238,0.7697331232002721,0.7113863450060278,0.7382499145231194,0.7036484685307856,0.7629736045869716,0.7695972346643679,0.8215320167372274,0.869822635927535,0.8654039584883463,1.0306493537598957,1.4118432417959736,1.311634789584307,1.0232971404649296,1.3126973476176844,1.0860575637289491,1.3012972083209313,1.6678717746811764,1.0751643048592445,1.1602417145201982,1.6353315524759924,1.0086211230587419,1.0540245596106432,1.115860409959693,1.110491797920265,1.2852069242397546,1.0338968897271443,1.0876765449826666,1.0851148230457306,1.3902564996567055,1.0979507324442397,1.0146345083328165,1.128305172337835,0.9628812957244395,1.0899116924372074,1.003097573992601,1.2233853169656623,1.532407835152991,1.216087948593283,1.3071131071035988,1.0153026032677002,1.7472396247047173,1.0095987613466404,0.9912316454288791,0.905437572923126,0.9242217932975855,0.8714091043737153,0.8293824122016353,1.1388365418508786,0.8370538687962695,0.8999231552295329,0.7425160701725841,0.7689508571481141,0.8176278514270721,0.8248472822469765,0.9199167467696173,0.9226027017836202,1.0635182993631576,0.9747343828297717,0.886305960502861,0.771480048296189,0.827370974760995,0.7249701638535814,0.6772748744890963,0.6055153529820466,0.8923631217120095,0.6267842662500664,0.6565600099328505,0.5876205909492811,0.6210367935685626,0.7054144608760142,0.5919439267838374,0.7576687579545888,0.5174966338153836,0.5414656810102844,0.6998796549151554,0.49014228784802943,0.40043778914154876,0.38032998341854607,0.41210819096691725,0.5166165587264377,0.472002734843739,0.5653531425432408,0.5529168869848302,0.777758545029837,0.6936616878286042,0.6442407501675321,0.5959465994389782,0.48020445495243536,0.43512790103362375,0.3733587641039221,0.37573720974763986,0.5116566622449623,0.4242476375176072,0.424783971298897,0.49607740518474347,0.49336183055079447,0.49857950533718454,0.4558695653274037,0.6117947001490224,0.48385328134307193,0.45035844953589443,0.6434997306008694,0.42488150237327554,0.5148435141752746,0.4271721676914329,0.5605226824158468,0.7168089512250753,0.64327001776291,0.5519347092411031,0.5778854135457363,0.5768492051015682,0.47909048736256693,0.4742167008191103,0.4540597344939532,0.40581923805533193,0.5122609625354496,0.6444137937633437,0.932657652815822,1.6987305836164548,1.1879257195136312,0.694312553658274,0.5291019825158692,0.540161536746191,0.5497165580644979,0.4746349023541653,0.5030008138904917,0.539425010508109,0.48015471748373506,0.5734018908279362,0.6279108458375187,0.5973164133567632,0.500039201158991,0.596462928196489,0.7158640783440674,0.7918622160596206,0.5766758986502037,0.41982262893045025,0.47349148868541596,0.4703258859216877,0.4976024096449994,0.5798123317769628,0.5843877437360432,0.8364944009113371,0.5985226279323617,0.6496662326708786,0.5894018308580784,0.47357512978462685,0.4730253740273828,0.49820463655155867,0.5348812528328574,0.6189233329868455,0.602169405412611,0.842785710022808,1.169641851482448,0.7592868353407535,1.0417353584916609,0.9578072537105177,0.689070831123455,0.6276923356384655,0.5179388674518141,0.5450302419945641,0.6827626674746129,0.49985505162855615,0.5018758935934869,0.563021323741938,0.5360875348883956,0.611343750779854,0.5195042652435173,0.5395874224243951,0.6425180954709863,0.6587894174102978,0.6089832171528793,0.6636473346055164,0.7838699427973407,0.7495686600307698,0.8096918982072847,0.8994917651579927,0.9224133051916412,0.9861345819018579,1.0596513778589893,0.9721454575408913,1.224088405153261,0.9040187758499806,0.8289291193748769,0.8721913550478563,0.8209835444891802,2.0757707292056526,1.097046905864687,1.7956144427394545,0.8510510292857539,0.9011083478232902,0.9295471008696606,0.9728559668923352,0.7671547448468045,0.7027180214903819,0.7959148957557368,0.7968145181716214,0.7831860001927662,0.6472620458952726,1.0611178830035157,0.6241450253665457,0.681091585932049,0.9322776560051738,0.6040857703394297,0.6076247586399127,0.731093312391389,0.8729904749765531,1.0065526991530422,1.1194488198652757,1.116990928557833,0.9259768476333683,0.9288088950669364,1.1683686612585127,0.9642142055151132,0.8483321266944324,0.9914120052218336,1.0210030877701626,0.9018312512912511,0.98752416093054,1.142694541358045,1.0662631731248702,0.9663676956900032,1.0247888591724983,0.9351758179566806,0.9080154213469044,0.8442035572987602,0.8241552126783126,0.8464042310795392,0.743985381682215,0.7161735986086538,0.7089527111687778,0.732958909791387,0.6283175944336663,0.6588801083373753,0.7877151318770065,0.737322652448426,0.621660676331023,0.6838551514240621,0.9242381068688331,0.8774517569754926,0.8616617291228341,0.9496049734987433,1.1674846334504865,1.1022533745332876,0.882268198836986,0.79465401045411,0.7319768362745873,0.9097827151243362,0.7716563636787888,0.7630216413415273,0.8025991755031375,0.604262678379151,0.4928397508421582,0.48070368268170094,0.4345709571423414,0.5058378523928413,0.6774739842427399,1.0386718911149353,1.4625593386407527,0.8996812235794285,0.9993549683110555,1.3640414669432488,0.9862505339135845,0.8381239714294283,1.5465120882171437,2.161306573427416,3.729131304329252,5.268847491696257,6.754180814118297],[0.5592642910197168,0.4261323321213245,0.480895936899247,0.47692958682115383,0.38568957990454356,0.4351790901266632,0.35204585518694154,0.371534947184466,0.3422750322712314,0.3095138635039683,0.35704223515545164,0.4590862802797106,0.41468409138798507,0.4291356443938832,0.664039259398005,0.6213237594087324,0.620149380121271,0.7288883113178309,0.8480960956828757,0.7973103975872615,0.8941108830652852,0.8858869017969261,0.9631546120542052,1.0984495842904707,0.884855662739549,0.8632917330849771,0.7079818360560373,0.6322549563375344,0.6544828998507042,0.6301425788454509,0.7488377073032777,0.6112650673223393,0.7998516320286521,0.7657721750038393,0.7080657804254947,0.7108660911534374,0.6492999413083531,0.6900929408517495,0.6554246383931607,0.7049591283779254,0.7318130926737075,0.7672941071861812,0.799388145238218,0.8211092716342654,1.0091187455687505,1.4393617943113195,1.3192283223526815,0.9897386036107634,1.3270192385102522,1.0902361925298225,1.2425755872771083,1.6384522557949095,1.0134476579945848,1.106514517191715,1.57268174279607,0.9315458658327769,0.9951534218435751,1.0381495002687984,1.0189254680586868,1.2395488620459643,0.9552763306078785,0.9893453574533322,0.983389100765395,1.2642037861727196,0.9985573900397448,0.9296455094841912,1.0602575418909155,0.9003379575649403,1.0468426027432067,0.9574475611487101,1.1996762900003768,1.462602952013477,1.1605127206693626,1.216478542094817,0.9420557431007467,1.6411946895315694,0.9161960553501415,0.8907043630098318,0.8155941610611332,0.8438660512387108,0.791541887798642,0.7666040018828802,1.1065843887500342,0.7697003839123115,0.8642217596271696,0.6924564211807133,0.7089980588977172,0.7462967872038669,0.7539093767115377,0.8342366191218313,0.8400990115474365,0.9723300655464552,0.8858090689351544,0.7899794823620978,0.7089196750063761,0.7714181689568224,0.6990192583277756,0.6219139810673502,0.5451480588958425,0.7836266110067919,0.560442070164721,0.5731351491522029,0.5268121158299697,0.5451099649471032,0.6330042262871199,0.534398094324201,0.699576691180126,0.4630965184486451,0.4960152254084633,0.6566658456679277,0.44852685784776153,0.37352848434017794,0.3601479821436208,0.4055675048431031,0.5070977563181523,0.4736862620708224,0.5544241353267568,0.5357712573837082,0.7292136301891293,0.6818724738677677,0.6285836384119258,0.5903364504449508,0.45370414412302307,0.43568628527725717,0.3735120357101429,0.3728636476923832,0.5036158298014665,0.41671099537233075,0.40714411152560076,0.46267732105817416,0.47915527072328473,0.4722797725469556,0.43259680380656934,0.5797948780269417,0.466337643033533,0.43730548858085216,0.6394319402349842,0.42222505172115565,0.5212766486547371,0.42723955498469174,0.5514909229030611,0.6787067724140469,0.6200514760007704,0.5321983057248657,0.5481366080309226,0.5488394148760696,0.45861974361170094,0.4492827987274257,0.42027401535447856,0.37188610718781434,0.4622448304371944,0.581443274373556,0.8382131779036357,1.6215025603872781,1.1535368981437089,0.6061446386160168,0.469485834779576,0.47417652734187316,0.4949978087946977,0.4326644047617609,0.47481986156669576,0.5036861335360279,0.4574430891878599,0.5373639692655079,0.6020452200957702,0.5792451252369999,0.492787266721564,0.5893477186854328,0.7197617443759582,0.794387340282382,0.5782989485964253,0.4130757734985989,0.45723307733370855,0.44575709973718686,0.46067916246430124,0.5279165200214694,0.5385655745213815,0.7831702353282456,0.5510940609335505,0.5936805172731603,0.5658602400142586,0.4361285970933356,0.43965792376104157,0.4692979441850666,0.5099329401851964,0.584360499404175,0.5642620012076429,0.8033432868745838,1.1615771985036218,0.748985570897793,1.0183255461261,0.9361660528712455,0.6838913811783086,0.6211979417055842,0.5067227352063592,0.5311696401754155,0.6749571143879466,0.48305423597001096,0.4828063119413501,0.5524399359898624,0.4991959184805072,0.5611920654244617,0.48284927460349175,0.5060888601378509,0.5916523545670447,0.6113027812188311,0.586558465341313,0.6191416775853784,0.7215656329808241,0.7002921876676667,0.7532887760500059,0.824774192252771,0.8551694281963177,0.9458437901928753,1.003601973996436,0.9176942147979432,1.1466969053149005,0.8465949003254433,0.7681680330301702,0.7942511404647408,0.7363207916868897,2.0217153515077984,1.0171034458487747,1.753081195394825,0.7938152107376115,0.8384620104078168,0.8700454166763797,0.9194570907797619,0.7088726841786794,0.6596270461789592,0.7575544229943199,0.769085466111306,0.7518013788315615,0.622265524564797,1.0417026467187358,0.60901813422562,0.6728495595427415,0.9248353325391027,0.5846711762100507,0.5833740700084339,0.7078955074498616,0.837410085003916,0.9631955513664139,1.0512961409623591,1.0633920002385167,0.8810030486683512,0.8539007037559941,1.0989582000855682,0.9042504173588916,0.7765994585014269,0.9071454956096201,0.9425179894494716,0.8275096722014107,0.8991355862648007,1.0453788404330169,0.9779237404962249,0.8744643482126786,0.9231384485994784,0.8500087314998503,0.8234939740233924,0.7748085028709468,0.7520921493520418,0.7599143666493565,0.6773805590273988,0.6642744542886462,0.6420506734468399,0.6722718399980397,0.5835087485345386,0.6053325193976345,0.7332287369736655,0.6992445053609607,0.5967992180699462,0.6549805168833215,0.8955567914165735,0.8554680993794853,0.8379962358917064,0.9382842806951944,1.1617804328107388,1.0497359082549418,0.8500705009259101,0.7581827976291838,0.7007812736252667,0.901487397829391,0.7510945910229975,0.7400924991125247,0.788093226937622,0.5884694887743546,0.48442539951008184,0.46103522413353243,0.4206530545449632,0.4834022331254893,0.6299595290013187,0.9826017170631886,1.4258527693009913,0.8585142469377068,0.9404082393488737,1.3164887674435468,0.9655372446127742,0.815951789143861,1.4843615133171948,2.160641070264163,3.8174633644537326,5.37025134476111,6.743164337780269],[0.5967975462371675,0.4654470298515288,0.5179465154004601,0.5145845469364269,0.424813886122373,0.47063060633377257,0.41879233216429673,0.47939483860719695,0.4384843195053377,0.3728274081790996,0.41734230691405655,0.5684159943354122,0.47480846510838176,0.451500996649901,0.6860651822420706,0.6693565886053832,0.6562366541649093,0.7890166032699406,0.9194244723505614,0.87245397914152,0.9716291618414286,0.9687069372329989,1.0596906683868534,1.2064923782880186,0.937577681194511,0.931639477523999,0.7747822371161684,0.692415525791876,0.7102302892530306,0.6876074899873332,0.8160750163870568,0.6811092004281514,0.8912996364527465,0.843829603955327,0.7873015122677572,0.7788102975452162,0.7300286596385869,0.7615101432813715,0.730225129934437,0.7920144967903816,0.7885986814231384,0.8410888177797221,0.8871706282702878,0.8856083318006008,1.0049461064942569,1.366533206497905,1.2541566058038118,1.038750697999482,1.3205868589396677,1.0839486872760706,1.3436272957743105,1.6626443716415453,1.0798697498013496,1.1635890852525026,1.649857301342925,1.0278799800917404,1.0775085471929826,1.1272934320113732,1.1178232978118596,1.2844519529714886,1.0330961435972312,1.0830977315050934,1.069432813686933,1.373143332575086,1.0940046398850576,1.0196852838738162,1.142168746415714,0.9817715181734824,1.127322957140189,1.0334692908254766,1.2842592999657358,1.5875559380538722,1.2502235220945443,1.2889171986833363,1.0188820400070953,1.7109363400989437,0.9963434732749166,0.9626740145258812,0.8895842605376686,0.9196275273175404,0.8704055916359644,0.8450347291437468,1.1393806141212057,0.8625718486349617,0.9166495097621162,0.7593468228570155,0.7827366581713856,0.8270715102678217,0.826081090389673,0.9010555212124626,0.9085780935676857,1.0306163057085347,0.9479000151925024,0.8568079804583043,0.77091422037138,0.8186181958495089,0.7398254156550159,0.6863639884148377,0.6333824485403652,0.9369693180247828,0.6458564295654253,0.6860095059061879,0.6309668593421919,0.6529959536723068,0.7313177195345563,0.614347783689619,0.7679526486738747,0.5603305497557346,0.5701150014722487,0.7232815706433866,0.5167488195193817,0.4474105473484003,0.42192041116070916,0.439001668412373,0.5298644165430879,0.5031706621981926,0.5966978319289342,0.5962788892693556,0.8132246033188262,0.740818698051659,0.6889274282181248,0.6178566623813756,0.49244857850657914,0.45116548667298345,0.3692571945021592,0.39433419532500097,0.5629233805612863,0.45843128458193816,0.4796405914461425,0.5408725432812815,0.5402784430545355,0.5475792460247977,0.49732035805619024,0.6459470167132594,0.521150727693819,0.4766291276066041,0.651924221809988,0.45442512149024705,0.5272021540169131,0.45978821743289755,0.5979560044050468,0.7485197768359111,0.6854463487146296,0.5895693841297852,0.6116856857688872,0.5980440202970008,0.5103404808575688,0.4998048584357893,0.4886267872715464,0.45310778925712586,0.5670167451059022,0.7327094769184397,0.9557452052748496,1.6920122464790823,1.2817617612267007,0.7676079214598973,0.5910250401904485,0.587761593402173,0.5870575484944576,0.516667099548021,0.5405116894353713,0.5697805605802708,0.5136727500698177,0.6103568147273556,0.6644517445358608,0.6296899140078951,0.5289832189972269,0.6012353493977621,0.6883873034282295,0.7923652384917981,0.597543054582083,0.46619144744932406,0.49741119090449826,0.49692436159861403,0.5254952180945011,0.6168226698106958,0.6192792836518898,0.8477251776678829,0.6364215379181478,0.6805444036952603,0.6143368155931576,0.5108454271109134,0.5101090657435574,0.535952665492425,0.5655148798611254,0.6608429190454994,0.6442355996494172,0.8873062006713474,1.1751419453652956,0.7919693527787129,1.0276535688862976,0.9446028015720982,0.6876715401782156,0.6310080237160197,0.5490341934964478,0.5675573439001604,0.7108510181091336,0.5330766078474579,0.5298671433653898,0.603838336293781,0.5722573829540852,0.6551690086914252,0.5536459394417411,0.5540554269823061,0.6543801293442463,0.6775219321059038,0.6364882929181617,0.6606126996687551,0.798714804798119,0.7579678805687341,0.7880616593168652,0.8713717023793716,0.9210123979703644,0.9875629791386433,1.021591448304025,0.9139996198197681,1.162683289508532,0.8194744130236612,0.7795243849094952,0.8207505945819165,0.7705581468065335,2.0815719361127165,1.0244169948722361,1.7872698738470927,0.8779553624096323,0.9227723660155939,0.9507197411291599,0.9940582042732322,0.7715201854577715,0.7278294203857537,0.8389982260994165,0.847479856852634,0.7721607650144608,0.6640989048075994,1.0925419378999612,0.6219054263406172,0.6843420931470401,0.9554713730072035,0.6173709789863461,0.6652280240725895,0.7911778392133705,0.9304052783898706,1.0726301358266455,1.1490228621408007,1.1792545790643711,0.9804974253214518,0.9659129601887707,1.2094170150728552,1.0017595872549065,0.8716407514057768,1.0180756972986684,1.051801555115659,0.9247970848383942,1.0042341693951795,1.1652614459826907,1.083640953000678,0.9574224229343384,1.0198143491852782,0.9268471613915664,0.9227020101700005,0.883666439775205,0.8641743015686588,0.8417082630559075,0.7454799558421913,0.744719281601195,0.7018491257361454,0.7140921986865899,0.624722460812694,0.6477365160407829,0.751215061512712,0.7094488180879149,0.609035013484197,0.6858906308339412,0.8691399842887686,0.8422409095205409,0.8194955194835135,0.9379530020943859,1.1678122418531194,0.9948173703166571,0.82025593744901,0.7442571040619455,0.6955559264492637,0.8909151708236079,0.728785748957932,0.7086144842450417,0.7819424392682573,0.603179304204187,0.5090579896012424,0.5038015490644593,0.4626896826700067,0.5362569265692458,0.6901027677247823,1.037150735876581,1.4693705954243106,0.9372256586121366,0.9936030463488638,1.3890902836075476,1.0309150885843141,0.8489116662190819,1.4965138982027668,2.3133953862885552,4.040090708407745,5.76323480452014,7.203630056587565],[0.729967851491827,0.5862716625940925,0.6252351994701498,0.5801780901795095,0.5214676705459699,0.5640619521614919,0.4743119153842806,0.5295195600797393,0.4974057390846668,0.425057586021905,0.44451653106958017,0.5558479095954757,0.4807242906239774,0.48274856598995386,0.6985780843805783,0.6530237041384764,0.668691727062936,0.7755586653319405,0.897196314029592,0.8454646390778756,0.9425746020859328,0.9199985015977531,1.0127713066816963,1.1576013187122403,0.9131525866676776,0.9089272580902067,0.7529284956336745,0.6858395834915009,0.6995221966719707,0.6616708054593747,0.7756456765025241,0.628130951276487,0.7929002377390187,0.7434807591192436,0.7094634138096018,0.7407886663421921,0.6692306180978203,0.7263980852348957,0.700652360324492,0.7411059134530505,0.7656892659663247,0.8156837939066188,0.8428001526240237,0.8540859876687417,1.0205522510191702,1.435959416023494,1.3065298843105546,0.9949000534291439,1.3367625877727978,1.0844293816332502,1.2804611656769893,1.620864927043067,1.0175677483391596,1.1139893200418742,1.5444471897817018,0.9401913391408999,1.0405627699055757,1.0048634637551093,0.9944331004609811,1.2719808081096544,0.998259320757082,1.018667761871039,0.9854989380061986,1.2542675464974173,1.0239633972779327,0.946633262259444,1.0933184178720783,0.9473053525755589,1.0818655895199405,1.0272038507784835,1.2480930580842762,1.530030889162971,1.2426171873834335,1.2467904759612227,0.9620396077359133,1.603462945412059,0.9181744493576852,0.8817143163338811,0.8219080598739339,0.8525790914365758,0.8004743810797619,0.7916107684934183,1.1019435136903508,0.7807822478717878,0.8739073085289879,0.7058465220434251,0.7346547950802714,0.7447872589999246,0.7758162397177406,0.8418253683120964,0.8389678650758902,0.9609885486114026,0.8679743258789101,0.7555156989069212,0.7105971720497081,0.7597897630872749,0.7150300209266912,0.6279215854043856,0.5767241105502654,0.8361556994861924,0.5827419885448747,0.6218736371603585,0.5556894666237442,0.5940504728326941,0.6888044962500351,0.5842921786565355,0.7328516158014717,0.5610998060774315,0.5918913442542578,0.7400976647868442,0.5532393831896704,0.4606505824351629,0.4583121412545602,0.48294587308794085,0.5762500506841531,0.5583279989845141,0.6265509862616176,0.6267425869818466,0.7731204415942358,0.7453114044758254,0.6956409228301689,0.6389466292804583,0.5190689249728279,0.5030993955206046,0.43301990965528325,0.4535441143056023,0.6009913339993753,0.5109976843583866,0.5186453172725229,0.5483676466977307,0.5684866856589817,0.5543045623940571,0.508436985203001,0.634670433596887,0.5409420276154011,0.5010181904589374,0.6621523035135807,0.5153308167449452,0.6008635517699388,0.5200071706664745,0.6486562062869233,0.732351604692298,0.6826898391437108,0.6038128674035342,0.6096428006738007,0.603939986164268,0.5301098046706495,0.5175596956115373,0.4890431572970433,0.4682734285970589,0.5872642057281704,0.7157397396815598,0.8859816465253129,1.6221797492484311,1.2572777557007833,0.7039144006146328,0.5520952734399515,0.5613878420252011,0.554620953876084,0.5071742193770896,0.5321928021080115,0.5569050050558562,0.5243766532342617,0.597702810765232,0.675741020601089,0.620937573568272,0.5320441185775312,0.5813111930770675,0.7087481521463115,0.8051748793872696,0.611715249611052,0.49918492324807934,0.5094336924642063,0.4938789183692577,0.5008991123271845,0.5725499138569001,0.5722305766402102,0.7889057772378467,0.5757871746760079,0.6289462558730402,0.5963762943374553,0.49886671734375404,0.4984511026978971,0.5298537957644647,0.5618741021643596,0.6280449825606342,0.6197478793436704,0.8434699280437411,1.1971771662425783,0.7777549987596495,0.9832595146162924,0.9273202346884534,0.705513810192942,0.6623989855339812,0.5582032231825725,0.5693137301350261,0.7076575565785558,0.5605928765994813,0.5699319591799369,0.6470276156000955,0.6071216386612522,0.6720881214280853,0.5916170008799773,0.6118892128370798,0.6995112673526226,0.7275837953111257,0.7058756435335676,0.7265314711355576,0.8341219783682193,0.8052383671779578,0.8286380481161949,0.8919558978227833,0.9445603164174198,1.0281681074410995,1.0481287999046403,0.9529038038828922,1.168089834117704,0.8689824571377321,0.8252900000641297,0.8539211264136373,0.8074827702033156,2.0505118294325366,1.0115979155234558,1.8094941300193996,0.920803433016211,0.9223030542709584,0.92849984108502,0.9847862827558072,0.7848523379662519,0.754314537576409,0.836350840401403,0.8496972480623626,0.8014470712050382,0.6865402528468033,1.1113839788980504,0.6416418575668612,0.711268818828606,0.9586293680203088,0.6355347489001044,0.67378340657657,0.7941512463615337,0.9347674607967064,1.0610005448003155,1.1276307753394466,1.1622640339906103,0.9808387234285411,0.9514920432653915,1.191159112245142,0.990287307075129,0.8857780571419586,1.0139340768117537,1.0509565662518037,0.93060861643737,0.9982247340396107,1.1593641000378658,1.0927489841281823,0.9584193660940611,1.0068496330036383,0.9402361269520758,0.9299713130470171,0.9021118145780582,0.8908475371738797,0.8594759912231188,0.7897738599245953,0.7822733938786086,0.7420881129237034,0.7682293985780008,0.6766857628907853,0.6811347808001721,0.7994881330175106,0.7686924886832891,0.6671380845340475,0.7509770844117857,0.88670540048578,0.8675211508505577,0.8623953629926359,0.9907110377166288,1.2029536746113818,1.0366709601682194,0.887596244442572,0.8064956132785978,0.7773234107013017,0.97559386292749,0.8051069102761476,0.7819681458078409,0.850308320655329,0.6718382446848018,0.5917130609099108,0.5513917051249738,0.5185155022040288,0.6038525093192944,0.7050564937462044,1.0372196423199982,1.440017822448836,0.9743988005385427,1.0069388073307481,1.4054419363886197,1.094601493729745,0.9085731854633696,1.4703431901801443,2.3242891432959376,4.099082385390748,5.824747459737195,7.115096797334546],[0.5813868918795139,0.4379357871605961,0.47321436305978193,0.5017793946253517,0.4056053984934458,0.4433607818938615,0.35959650291793366,0.39221920976040214,0.3667876548850756,0.33526916208359714,0.3588418313813493,0.4605929348577579,0.41118520134834485,0.4211236771991318,0.5921290199311372,0.5710954621871815,0.587746764647593,0.6894091305302301,0.8342973586590087,0.7750461012916178,0.8813915803132532,0.8721605238811146,0.9486811045270712,1.1015853822915167,0.8966481261008514,0.8615443449453866,0.7031625008326448,0.6161579898133908,0.6264115010821649,0.5968518623867218,0.6875538396208509,0.569463419228029,0.7608446713903685,0.7213388737434256,0.6491981773475456,0.6638425268762457,0.6099975736298565,0.6560168861298543,0.6473632998047871,0.6701912498038287,0.7191113440152612,0.7494036565508897,0.7795141393071483,0.8296502503690661,1.0559565303470186,1.4965632964513915,1.4123848874641105,1.0102898966107376,1.3425095069845525,1.1651510464912116,1.2195857348185501,1.7309838066684444,0.9831988760281308,1.1094574540440583,1.4624694846115398,0.8738173098362016,0.9268163205611668,0.9958498332538396,0.9434583416706332,1.250116078319828,0.9221557790260906,0.9164858024320984,0.9142663094945841,1.1740110965382318,0.9543772673716728,0.8874691487209793,1.0410069651479423,0.8653573610059074,1.0288685757776097,0.9121107855259364,1.1549777633920841,1.4057658172663536,1.094849176601969,1.2143717841358643,0.8716190512098592,1.563556749769791,0.8437917731015883,0.8074992254092082,0.7418851121742355,0.792880046264486,0.7364384518782359,0.7263560117675235,1.0678017799401875,0.700625756475175,0.8624289245863582,0.648250235998617,0.6746200747470296,0.7216809741168208,0.7070947587132858,0.7902598352155461,0.7699170990228336,0.9301457538832715,0.8287709312753696,0.7375477233813319,0.6470121214749843,0.7185327615758206,0.676651822173245,0.5942657354100322,0.5298971510742309,0.7764268994496248,0.5301135612204363,0.5642091201699528,0.5238290969159444,0.5097038403155247,0.5808828629629393,0.5129891996190963,0.6618161962644243,0.45543844269869566,0.46164051252001465,0.6891696559441146,0.4062092242094013,0.366006674447854,0.3675004129510424,0.37915918729688936,0.48238382888477904,0.4623677021118998,0.5371626137358414,0.5252562388332584,0.7191650454571215,0.680563956678191,0.6072576963683205,0.5836587505762205,0.449796778736449,0.41999280324710747,0.3471880387190621,0.35501766903226817,0.4980827562547201,0.42650046038937206,0.4175276177802531,0.45478644740851415,0.5025735861233485,0.4817762833148867,0.4609400384000168,0.5597004492429001,0.5132032146821978,0.4928972246927959,0.6504888460160594,0.4086263028314672,0.4712631304774913,0.43322491189902834,0.5602194728513572,0.6983097904032753,0.6316221696360741,0.5419114153695022,0.5397564921709633,0.5346725633857439,0.4556510446190521,0.44517953950721767,0.40576218838698624,0.38583082683107145,0.4858562721099761,0.595688111200948,0.7777988068917999,1.5852455691229925,1.1964492423986701,0.6044288276045277,0.4600357757476663,0.47070586322302826,0.4837161104654843,0.42659037284205276,0.4800513207462249,0.5083157506097005,0.4664089868913592,0.5404955519652929,0.5568895838986334,0.5973639181111591,0.5396961363785647,0.6651504609957866,0.7667397197592558,0.8440608630931672,0.6306995015355239,0.45824251738657273,0.45985455097312805,0.45245551834521697,0.46805982193625045,0.5219923059284948,0.5270095754405029,0.7367564142593933,0.5396366417085626,0.5507770437245273,0.6315518655828324,0.43109296024991084,0.4430986688118871,0.4912019441195618,0.5349642314525401,0.6081187958714649,0.574701626384891,0.8087624582439452,1.199778517491899,0.7934102436537281,1.0992037368318952,0.9894146689304362,0.7449792494169546,0.6806836668728025,0.544645917467169,0.5771930108653224,0.6942907705678554,0.5148685884468881,0.49989844906455216,0.6016481210510066,0.47711292315658893,0.5454885081022441,0.47448803079141116,0.4700806217578502,0.5418580069732286,0.5716123604382989,0.5708492371819001,0.5560567211771726,0.6485466940731536,0.6315926268658395,0.6802668971644876,0.7356689757658431,0.7761881049444755,0.8737248014503334,0.9438271035095868,0.8709749514368057,1.0678305519155429,0.8002357837673005,0.6883702246912535,0.7182292071995681,0.6706668150720417,1.882954118437066,0.9662054943482381,1.7139838555170677,0.7528286073651785,0.7829905045512906,0.8339590557131183,0.8800010032838511,0.6652807478925202,0.6236874441908048,0.7559509939363718,0.7669881400292278,0.7307861199149367,0.6239106125637542,1.0229107106654207,0.6154504071439112,0.6689823960986383,0.9631045731287152,0.5715890746401039,0.6197750405429987,0.7274055732493353,0.8406526058334339,0.9821636517233817,1.0112068352974064,1.075862766043604,0.8918850199925825,0.8132399816701357,1.054305110219474,0.8855188336691988,0.7358790080530404,0.853365803030531,0.8979930681711982,0.7732311531670811,0.8212999120635008,0.9632431046701229,0.9287116652725265,0.7875460461300574,0.8192663396732599,0.7480477348770878,0.7314963413405337,0.6931028385393943,0.6690395615832712,0.6684722430237526,0.5931398136881593,0.5862451293703697,0.5580301253993062,0.5918979332603863,0.522286341713244,0.5511488914821877,0.7039435869719184,0.6515928091430261,0.5750427295697387,0.606082369502275,0.8725043754044123,0.8257164321434383,0.8019908451917429,0.9611535367679599,1.163184273985797,1.031775355283742,0.8395746823199837,0.7185388154786548,0.6461014611116759,0.8953687284248396,0.7327755169333053,0.7283522636297209,0.7931649991265171,0.5998759011428407,0.4834191176236251,0.4618728402831082,0.4297373402130966,0.4514404605122757,0.6097845346491406,0.9273237375591048,1.4122876710639807,0.8730615768206078,0.8761509698410984,1.261313731576853,1.0327628131041706,0.7930853680146656,1.3784950980454318,2.030140976834826,3.742886152595951,5.196313975420485,6.368773163225027],[0.5625355012148013,0.4395318939170445,0.47278045826878523,0.4796333489777171,0.3885837501641352,0.42379383986270996,0.3471484220246134,0.3789389069582155,0.3473968050576217,0.33585955358918507,0.35480730383189585,0.4403027553584387,0.40854899536270206,0.416916064347213,0.5516143249443082,0.5284020944845271,0.5793992748856491,0.6611701611903351,0.8099648792951205,0.7534085286197313,0.8630126700992591,0.8612681380261298,0.9180097222160949,1.07973819468295,0.9250722679806884,0.8655011485922274,0.7060587417484256,0.618611019851488,0.6098912206744341,0.5753379631943373,0.636567564190992,0.5211994278746402,0.6937400085469743,0.6654822404565027,0.6018922028014894,0.6276580938734223,0.5675884825855255,0.6362630823143837,0.6433136147667569,0.6435778041206363,0.7196918976582662,0.7360154649969765,0.7633885350896672,0.8405325517242058,1.120312645849415,1.5696501699617933,1.5150494610243026,1.0403465817414397,1.3566801405547608,1.2060879552841848,1.1634035200999415,1.766796286949773,0.9768274096948635,1.1042529290242016,1.388194198325674,0.8205849607625547,0.8679511899549422,0.9787517000407762,0.8992962431457608,1.2425566576890963,0.9019484371003333,0.855649875299266,0.8569346824812407,1.082569184772383,0.912728165266506,0.8573939940202684,1.0330415479885946,0.8237331541674224,1.0128888519441985,0.8797713407951111,1.1146381530698628,1.3055626351621845,1.0305473583218079,1.153140754281673,0.8023581464561083,1.4667658990281744,0.7808922849234129,0.7503248105819293,0.6899408836515613,0.7626359515710206,0.6849890362517466,0.6806320600126903,1.050250841165484,0.6633979760269093,0.8614820048047128,0.6212980970358015,0.653215058557921,0.6868690357314864,0.6696347034134693,0.7273626180256209,0.7095306203956532,0.8754470039756281,0.7720793970899074,0.6768406081905362,0.6004179704661812,0.6971621553162614,0.6799029233271572,0.5569255776404908,0.5084529784396401,0.7447438234733442,0.5144559625833146,0.5662951207372398,0.5265884297428909,0.49013751171615144,0.5385719710825397,0.4979355864265319,0.6259725719233169,0.4524722369203675,0.4434076257825212,0.6672224353037886,0.38537984833782096,0.371199467530374,0.36394292207918244,0.37117792027160484,0.4758982013439163,0.4705826153471067,0.5480606267816072,0.5469545613613905,0.72949856233287,0.6884695029957242,0.6243563359019607,0.6116249338804867,0.47334377811873185,0.42977296682130245,0.3331477696299752,0.35186967836568367,0.48175310410781796,0.41656360491941186,0.4128176575848572,0.4495824352763304,0.5146164764747689,0.4757106656561043,0.47783973897888854,0.5375369943726881,0.5255292077458699,0.5138049512185673,0.6354714531769909,0.4195729763775534,0.477327089324359,0.45570923479242376,0.5759796795919622,0.7121337922815775,0.6348053048745791,0.5536198045212049,0.5516180243592654,0.5456754219090895,0.46691460265558393,0.4525509564603649,0.4110345276594863,0.3869014418649275,0.48222347235055785,0.5935027482886841,0.7266348773717228,1.5150753746525147,1.2007049451669602,0.5776159565514403,0.4423277900767298,0.4549632725932814,0.4601691772278272,0.4151745132108004,0.48968843778845833,0.5137216416072524,0.4842930655493414,0.5478756971301902,0.555656894385959,0.6135514191327586,0.5814315198506634,0.7133331036567054,0.7933702430549593,0.8601952770295996,0.6493713882525339,0.47879855422896694,0.48271576136074495,0.4636567110463446,0.4677355797672171,0.5152703430867263,0.5250961992318542,0.7075924502409775,0.5241689624240049,0.5228284849990061,0.6491901876162917,0.4289783513937934,0.44652088690663516,0.515331314286641,0.5569437125832373,0.6221351081483097,0.579196771621223,0.8092369672231727,1.2201355659441369,0.8350120658372086,1.1475172127991946,1.0079222607660583,0.7780672790914812,0.710601028611336,0.5739372851338851,0.6115422195599896,0.7004776638927135,0.5311931877773558,0.5160429374380135,0.6043827332603767,0.4560205248214796,0.5091803021415745,0.4507792749067379,0.4369583076457772,0.48798187638266255,0.5278403417729115,0.5572788772084982,0.5159741323936621,0.5707132036858777,0.5804498487784788,0.6442823859400948,0.6808675636005996,0.7149203945598039,0.8511188689843299,0.937991201354718,0.8568482150035932,1.0311824086296457,0.7786148211725085,0.6576405621668946,0.6648629497483913,0.6239047511887197,1.8228071802396602,0.9426826813749339,1.6154385617618876,0.6786438475078037,0.6931805363498595,0.7628774411798621,0.8080806006694402,0.6185052118577269,0.5849012538226745,0.7268735334057866,0.7605952926907891,0.7147409696614297,0.6152942844348506,1.0175247790587694,0.6569155510769509,0.6833547546645465,0.9811106384410242,0.5770253596503041,0.6132388980318844,0.712539763954713,0.8009065616764427,0.9558217860027931,0.953408372941007,1.0384889669385555,0.854873122811744,0.7465729148169837,0.9774472344287242,0.8301816256088934,0.6540049090159876,0.7654242691417324,0.816764791509562,0.6928947689240932,0.72462549101527,0.8602157906701193,0.8648776942451057,0.7013167739602956,0.7223565104230929,0.6511730829078353,0.6337682352659185,0.6015755159259308,0.5869327583103399,0.5774827334086641,0.5178173623297502,0.5246522327889758,0.48967527717805415,0.5315971909353356,0.47531515641055544,0.5127899103236108,0.6861748673427974,0.6083167208390448,0.5764446724636513,0.6032715466836309,0.8825869560531,0.8332076396798317,0.7922793565068009,0.9922830365309453,1.167456430822552,1.00844764002422,0.8315370303126023,0.7007367873962427,0.6266660687375063,0.8975791820377096,0.7178338544461957,0.7155783654708816,0.7891932679169815,0.5795165002083831,0.47428361214352294,0.4545399403370671,0.4185343067949951,0.4248809299025698,0.5676042246589271,0.8435187031102352,1.3601703307080921,0.8447322789034526,0.8081079052731557,1.1786728898872179,1.041381746723573,0.748177209548076,1.2627783489557076,1.8873695330381235,3.627555043481476,4.994496742037385,6.000885791326432],[0.5328767098037827,0.48460798077504724,0.5383678217052577,0.5011183488474755,0.5473285761965906,0.5029481771211427,0.5080946757676401,0.5472789190639572,0.51478021012643,0.5866521025686496,0.6184201843920508,0.6679918528554749,0.6898513112265106,0.6770739717645922,0.7750525107751908,0.7619263808447707,0.802218299519329,0.8405667785489481,0.9558942111455794,0.9304180735118615,1.028027250669784,1.0367286272349274,1.1087586804574525,1.2838880377891246,1.0934255638186998,1.0270911904903781,0.9123960431311076,0.8301383004510594,0.8151029099101778,0.7886503898725407,0.8569464629300567,0.77305956978018,0.947206537233941,0.9271501978144677,0.8419277330994972,0.8471888287530162,0.7912623260863467,0.8348450823829153,0.8922385567122517,0.8924181098043288,0.9054467889425792,0.9570075036924955,0.9585341282319587,1.111923625220121,1.3919339188429154,1.8024811669172252,1.8036839182288285,1.338998365264315,1.5519933002184538,1.488930757740005,1.3701515908607544,2.052091309170106,1.2514925020999088,1.321633501946611,1.3718609744425387,1.0633976820896036,1.046293486249744,1.1339982357633194,1.0326540443297625,1.4876198182368177,1.1136570984142329,1.0123773535315372,0.9897309442933099,1.1703979249297236,1.1018016339882637,1.0182549186305019,1.173157291558713,0.9620389294420231,1.1388409699463302,0.9851835502835354,1.1085208986883226,1.240978523308391,1.0660522440030042,1.2441581930677224,0.9257399623213207,1.5369817692364818,0.9216662598696475,0.9284736994920244,0.8829648950849289,0.9371845912825204,0.8885998560967786,0.8832451553132378,1.1412261219849535,0.9081897852750501,1.0795513994078518,0.8303656495656265,0.8580808240795589,0.9005605611643234,0.8768684685009851,0.9318924402875692,0.9093998264876607,1.1110109788801183,1.0045726362410614,0.9276386260866037,0.8583341443758524,0.9682367122463126,0.9614641664954078,0.8329317945747605,0.7904874980075437,0.9577209590572499,0.7765469297395317,0.7806948114648339,0.7790048557638333,0.724892297281631,0.7592216303885141,0.717557818572952,0.7804478982179275,0.6862046670789751,0.6400413139765396,0.77868056888116,0.5688850801441291,0.5892549696387274,0.5839042549352723,0.60035565686437,0.6955320116912513,0.6939330015148448,0.793737440763869,0.7872540507137719,0.9185504435932123,0.8891111519664072,0.852787487719437,0.8369229365173734,0.7166142818324692,0.65217498836708,0.5445186164456505,0.583673619061818,0.6621075537240337,0.6019164668905824,0.6197220552142418,0.6593975302394901,0.6992947944757323,0.6755703641643663,0.697027516559283,0.7244503872518618,0.7223156445321331,0.7093055883123432,0.7574561175575008,0.648234526940901,0.6964212107494892,0.7216870725369658,0.8236482161186574,0.949580077119229,0.8617378841023736,0.7954846513923228,0.7972991994544709,0.7755603777548506,0.7249194579533229,0.7041544520007361,0.6638192476370168,0.615724350843378,0.6702301681222449,0.7547403240683831,0.8302736604993579,1.5385361079395619,1.329473480092403,0.7851567492833282,0.7036234292282834,0.6909223091027472,0.722205400909541,0.6592500119504184,0.7296536711128231,0.7605151875313529,0.7276502436424647,0.7974134182572156,0.8040033269511085,0.789055139761027,0.7750830671239597,0.8814560456568793,0.9065021315892863,0.9677042442099734,0.8177671292061092,0.7295155015954266,0.7125856075447605,0.7094168712853789,0.7347967729403299,0.7866036941217067,0.8006360789504425,0.8991951427580883,0.7820009123758578,0.7583887511385539,0.8598220565046111,0.6807962173536161,0.7069830916132268,0.7647020191014385,0.7789482870940412,0.8753192524381577,0.8080590156348544,1.0497496137769147,1.34724666078359,1.0333143665278128,1.2643876314502966,1.1636631204417058,0.9760164574830489,0.9228286773943445,0.7760617377465876,0.819913510145048,0.8459120802019363,0.6956778640228045,0.6625427258684159,0.7105710488000879,0.5530375556078357,0.5909842934465871,0.5506815955687782,0.5099493093376709,0.5253882905993815,0.5627234666589784,0.5889667231128988,0.5359499717759693,0.5540212776965748,0.5795337829749941,0.6425101610869294,0.6515925337215474,0.6800006357080538,0.8216320659967531,0.9437060129290932,0.8641740056950395,0.9984322202756355,0.7870074120047118,0.6607200322015403,0.6579698197049384,0.6279973266992841,1.729709629175498,0.9290375262293816,1.4908379205956386,0.6672292924196067,0.6751090768514556,0.7869209482105382,0.8424599213803499,0.6723169612021586,0.6539610284227826,0.7873321520482324,0.834503425193755,0.7792592307163382,0.7109861674052895,1.1009466561755372,0.8417767144393333,0.8096392104017666,1.0632158785153791,0.6744688178534587,0.7600509809807845,0.819792828591742,0.8439710247392154,1.0064076317227073,0.9530344371182801,1.0605539665338084,0.9000545559871328,0.7697091916103749,0.9737463770873815,0.8506626089280043,0.6655999349556478,0.7667894626776679,0.823538009485345,0.6942323169967989,0.7095438704677622,0.8492670544695318,0.8790458075783285,0.6734637491782447,0.6963378477673368,0.620216237187566,0.6065868740449948,0.5982667306030185,0.5884618978177011,0.5576112102078309,0.5223766534717046,0.5487906412746673,0.5131488255828857,0.5499957871105468,0.5240107073055938,0.570515754087542,0.7665567276839919,0.6486308231679182,0.6558291631121097,0.6816616797141988,0.9538191187208752,0.9045907181477254,0.8414854309062877,1.1379666557255232,1.2375575359687352,1.036215299723748,0.88798102416724,0.7201217572089074,0.6571411320602559,0.9629317015961801,0.7581694293385535,0.7789866839775339,0.8324718204115131,0.6133089581460589,0.5670653329421074,0.5893837036367524,0.5678504199059561,0.5175031325575347,0.6035731636371866,0.791571818660346,1.30584684290265,0.8608146324387738,0.7735989908057671,1.1212934175892604,1.0847243006461975,0.7062526948680884,1.1387834345413859,1.7338294611731098,3.4715097290217023,4.751696264499233,5.632294538309385],[0.5163078176085367,0.43850039984347045,0.46096489060146445,0.43737994658655094,0.421973589029293,0.38393552679454734,0.3491983530793298,0.3614836973616183,0.3353215536881901,0.355237150046663,0.36505718738160814,0.44864145185480075,0.4171568183947145,0.4403649886117881,0.5494807276410241,0.5239092996319221,0.5790189972564189,0.6405846388668857,0.7952872818060108,0.7407890811701997,0.8471161488870115,0.8543619110054085,0.9083010209111815,1.0743316616934915,0.9581758441669325,0.8602337530882396,0.6982232667312267,0.6104061952188745,0.599195559383476,0.5671660076605077,0.6486234854089727,0.5325742501603601,0.7172993859345989,0.6755483611740869,0.6057846878076442,0.6287251466527483,0.5559629982116678,0.6147345712033041,0.6462159276179277,0.6431056600723093,0.6938022878416981,0.728125248349477,0.7476645870880428,0.8621396368620192,1.199429962774066,1.6639699396938092,1.6610519803074486,1.0959825710691202,1.3669682379891046,1.2927789143213237,1.149508017859171,1.8147270168991292,1.0085381490435992,1.1267460993322334,1.3361560335322347,0.8175682264717329,0.852426989668222,0.9650159382844804,0.8735970207475912,1.3063183931584033,0.9364271940768898,0.8680604668768134,0.8606259357333348,1.068377852483998,0.9306018753530925,0.8450177538026886,1.0191506791336236,0.8107715979994183,1.0077627042445905,0.8530732830526345,1.0583472116777142,1.2494288230564594,0.9971336745534648,1.1583235475378018,0.7948188317333502,1.47370594636176,0.7692337988310728,0.7535933922372556,0.6806936961168458,0.7535723871883496,0.6818963019502314,0.6686699209812941,1.039841767824965,0.6681257060337462,0.8798805706818109,0.6125118832245303,0.6402919153000135,0.6798377476718765,0.6688281709341933,0.7200738936204456,0.7110470479247355,0.9159588845522361,0.7959381867813909,0.699768815285328,0.6148935510756355,0.7101839297326992,0.6757012630433331,0.56899097023117,0.5233612076955613,0.750497691427619,0.5330383069021348,0.585698771518906,0.5237816129076387,0.5015906699052122,0.5347069121276341,0.5077399371743897,0.6558150353206096,0.46407719492034727,0.46417830187819226,0.6615266932385732,0.40125006450553263,0.38360623579333253,0.37883431784742,0.39252334902015407,0.49641061396607783,0.4843344764014858,0.5632474283175476,0.567915780160442,0.7367855826875902,0.6881048545936955,0.6439203645028032,0.6506957674401438,0.5036657957535694,0.4631809369973557,0.3685946926260418,0.374928480860476,0.4780088070284161,0.41532613881454516,0.40537275833997244,0.4565222545256713,0.540359801004455,0.4834101170250019,0.4859941811082957,0.542298474348572,0.5163745320711725,0.5371288638426999,0.6600520085785676,0.45262613559442383,0.515860948481226,0.5036226088620845,0.6190772443082704,0.7404933902681864,0.6363134613769191,0.5726075439516402,0.5676463899587352,0.5640345065206452,0.4855453120826839,0.47076053970614457,0.4217791804995504,0.4094682604590015,0.48982572486137577,0.5694925630420682,0.7411115448568993,1.5385192697105148,1.1887991053370357,0.5766187206565955,0.44470612213727734,0.4618299851171209,0.4684386784275691,0.4225594316446293,0.5120094206257503,0.5207939050684486,0.49514503525275355,0.554538509090188,0.564132768511133,0.6353419601476488,0.6171570388852702,0.7956951388494036,0.8816718160996643,0.9004590742133931,0.6872285059315894,0.49978477262278165,0.5062371259158226,0.4833963104680882,0.484245136000339,0.5286260805972678,0.5324156299330435,0.6822637218211905,0.5471283887749864,0.5326444736449171,0.676592956736489,0.43932303447350757,0.46355610537601777,0.5432246727343509,0.584594277942585,0.6453166144224736,0.5881835357188396,0.8070797614243268,1.2315738073928795,0.8789732406410437,1.1758471944863902,1.0151453096006924,0.8154008764416886,0.7646246226568088,0.6161776302235215,0.6817897349378685,0.7380922640902042,0.5713309749054287,0.5570070599988627,0.6177492893885994,0.4434135248678157,0.4592495242469625,0.4323037314902701,0.4228038171941607,0.4505438220365102,0.4905891897732455,0.5362258672341238,0.49616350107976376,0.5455203938016455,0.5574044526120964,0.6316940056471516,0.6810659704734449,0.7072136393655266,0.8158166467076993,0.95674751061114,0.839195095755747,1.0445989597062946,0.7912269109725965,0.6585333807066496,0.6754373909910283,0.6598660639046039,1.7361575075663782,0.9692445458366727,1.5492473695977846,0.6187025392125349,0.6183827404403344,0.7102989305583362,0.7450326004225689,0.5796669716793957,0.5497687344675729,0.7048724449633845,0.7501801975413573,0.7319080162480397,0.635051169931529,0.9744390702005807,0.7379909104676101,0.7347815283115766,1.0314909795229001,0.618924501749468,0.6062641124904266,0.6778722490066741,0.7476388647109882,0.8734135591251437,0.8992294238230268,0.9557180023272639,0.7870625261809625,0.690092628162758,0.9142389533526046,0.7896077838149191,0.6145608692983071,0.7441443086131585,0.8132730159321823,0.6739984464312622,0.709997543158232,0.8645968422306135,0.8839186427578971,0.7067187126463323,0.736148363639909,0.6507683147051749,0.6112559706963596,0.5513214160336233,0.5306757557488024,0.5662081204469994,0.49936123361573376,0.48178653058122234,0.4924723550544158,0.548305565745938,0.47994099820761904,0.5221477321917329,0.74954537704451,0.6196365324507456,0.5919573888091515,0.614801844621357,0.9370904065920412,0.8598250997324495,0.7934328982215094,1.0172985063643811,1.0966941320658545,1.0642083022449935,0.8240544315992127,0.6817554352679536,0.6006139507587241,0.8453302801360045,0.6927410229404692,0.7260101087392861,0.7966081193680943,0.6011904470231488,0.49695930937087346,0.48720001609569813,0.4416446278913515,0.4016971732576406,0.5433894446582844,0.7919362417478771,1.3550673167507477,0.7969875990297763,0.7598457385387518,1.0770933374342848,0.9768188731596898,0.7080075192568639,1.2120724903832152,1.5977527192417702,3.1860084786814804,4.286395803289479,5.251271103706782],[0.5477295002303539,0.5080017802554619,0.5327660145982575,0.5443214798363705,0.5223920247185564,0.4730040050951381,0.4311520832995327,0.4580188772696932,0.4621451137533955,0.4788265043645902,0.45590402448531725,0.5102468036354386,0.4898169359087377,0.5029557353319279,0.5757658145511274,0.5514493130782131,0.5923979148476404,0.6413127211565256,0.7786444467833937,0.7387657927499669,0.8636069116461625,0.8927757808796319,0.9152168454577865,1.094784082584221,1.0462971055953625,0.8867883820019236,0.7266729975675887,0.635761264306947,0.6106880237700761,0.5815878684977044,0.6473665338213446,0.5508778429879811,0.6911124676676655,0.6740969080932484,0.607751861364998,0.6450009523677074,0.5630132243125715,0.6308963519259798,0.6717076972159801,0.6484842443492389,0.7368881249900989,0.7486482860254277,0.7743286903777014,0.9268331246302126,1.3652625896270258,1.8151799306576555,1.9205090725341691,1.2079918855036325,1.439604320392371,1.430880141373463,1.1681974965090014,1.9058526471920476,1.1010918535829155,1.176214555615863,1.2444133985376873,0.8394550752476685,0.8550712359969466,0.9735582176121471,0.8564450535231558,1.3651000253428383,0.9898325424397338,0.8653053014876327,0.8750601181848087,1.0082793854722938,0.9417424502273426,0.8538775756919301,1.0172994344408042,0.7808910807080758,0.998339278249026,0.824834072623127,0.9755048747470687,1.1539670272021485,0.9359213207279369,1.1217678598819028,0.7704063775911548,1.41889672123545,0.7555283589755887,0.7382363887426323,0.6923100338010654,0.7735260395909734,0.6663244066489494,0.6621659512906444,1.0156719407813706,0.6601827796194134,0.8459251324710092,0.6065527473029014,0.6417292472602797,0.6731002776222424,0.680809547890957,0.7142322571140468,0.7034437757170413,0.950613056489812,0.8129601377461427,0.7001460279049154,0.6288525083429274,0.7437125843924539,0.7233205037053944,0.5858796629472242,0.543425874850132,0.7213120822700769,0.5590745056337211,0.6022499703721943,0.5446563505273034,0.5193559725527723,0.5522265996801019,0.5462104804640069,0.6406382332751451,0.562491469772683,0.5303083770091052,0.7108164402763273,0.47340550662936026,0.48652154635613953,0.5016860262282032,0.4986769238868831,0.533257762425812,0.5747402553446924,0.6104825684388707,0.6349959749290335,0.8151877495898168,0.7234092594291461,0.7067506619407875,0.7013021760377972,0.5958292769501996,0.5578640191182462,0.4982024389098453,0.5008782014266163,0.5926731965081822,0.5192753879859296,0.48942160381448113,0.5519664153111777,0.6606599782951197,0.5947339514028913,0.6290515786947745,0.6195776864575752,0.6452981258912641,0.6914963545778137,0.7581737605826737,0.5872314677097749,0.6058331466123386,0.6138329291197657,0.6783496091569526,0.8239295607524673,0.7091598908755133,0.6453125542410184,0.6295439351394364,0.6112192664970248,0.5644859594625721,0.5221626330466328,0.5015318689880475,0.5006528833793852,0.5745402540716114,0.6078589966046691,0.7385544824348048,1.4614025328675468,1.1871028693729635,0.6140098381333648,0.5113239190349983,0.5283881011143892,0.4990380417954158,0.48555278696231585,0.544965786288243,0.5618703187208265,0.6090560579876577,0.6293941893729332,0.6326017203209331,0.7824974328086804,0.8034048042732077,1.0312416064256869,1.0494919703555337,1.0464029906848356,0.8327098054071239,0.6062746221158567,0.5646128987449016,0.5790639267218715,0.5621706136211811,0.5680521904571967,0.5771563275510172,0.6962864403268699,0.5889508015902405,0.5757956404877349,0.8519306217680306,0.5301575977391666,0.5696356570021028,0.6570435847417005,0.6813862860694386,0.731196784085641,0.6827447908347141,0.858662941292982,1.2933612665284777,1.0041483852496038,1.3610546837110604,1.0941651943435433,1.000376591451476,0.9325178986350786,0.7791953432274298,0.8665248756915106,0.8732013472037294,0.7298034068502851,0.6617829994388243,0.7802186589485437,0.5589453995144854,0.5590267833869604,0.5487648430385702,0.514270871186557,0.5012772731692333,0.5293820259129827,0.5906041339165641,0.5453831626312103,0.5818631593439938,0.6042093957078584,0.6743156505148702,0.7204160609834863,0.7489658157041356,0.8362270434661703,1.027940940188185,0.9320652868435164,1.119629250523088,0.8736519137710488,0.7106697992575732,0.7414883109952091,0.7141452133814843,1.6511337221354117,1.0251948411585299,1.5234729565439726,0.6605349499862994,0.6412902439363513,0.7200430982538155,0.7555862142723269,0.6467801788160165,0.6028296685525838,0.7333414919165634,0.7933768935956408,0.8082441737656655,0.712764075919546,1.0420604585161428,0.9053824244406444,0.8523360977172374,1.1677082316126783,0.700601476509926,0.7421551463344412,0.7446285744784352,0.7302409093727097,0.8838160314793636,0.8873446073634083,0.9454149840469664,0.8006244140029348,0.6883721978873675,0.8802786923473217,0.8036754654332886,0.6394568319552226,0.7565576052756889,0.8385999721997438,0.712045882771462,0.7300071903308494,0.8777418435254771,0.9360507488480531,0.7533935838453899,0.7762032603915153,0.6892932179089449,0.6337761580728802,0.5692402234748222,0.5524509905981285,0.6121252708344951,0.5440599517942055,0.5238744438583742,0.5432012887627209,0.592708591929261,0.5311400194961157,0.5809350683348035,0.8091445393570026,0.673909477339429,0.6635841403116837,0.6817904967547093,1.006487623799312,0.9129201840811297,0.8388483421462019,1.1249214629843873,1.159679441713327,1.1159284601136061,0.8919304182619932,0.7516314828996453,0.665970204955503,0.9076543365889546,0.749920445941325,0.7980004479907843,0.8820298603081401,0.6808407973719142,0.5936689091405338,0.6112362747062,0.5407594629015138,0.4968721144976494,0.6449765082819655,0.81316334700917,1.3734487954027939,0.8638179956479363,0.734870408701891,0.9977536650249296,1.0414565793674482,0.7136284556260207,1.103101627395167,1.3788750159276648,2.878595900095738,3.778931538799757,4.5432724907947],[0.5089098556643801,0.46332595744167976,0.4605409431260731,0.4112210408019625,0.41381454012964414,0.35362683403779155,0.3067224519303375,0.3560591179842727,0.36697299049482623,0.3482071268851163,0.36352786940631837,0.4686894817191681,0.37969513694328,0.3886927094252481,0.4913769159259596,0.44922888190079563,0.48290166086642394,0.5331240032783332,0.6846193485915891,0.6252850159011425,0.739414134534647,0.7621216132717763,0.7946092441240604,0.9644685291180809,0.961365464000808,0.7859217845132195,0.5945815394694562,0.4958109737855289,0.49176701454140676,0.48244836067963975,0.55934060086397,0.4534617309080488,0.6222156678305537,0.5701464982496965,0.5110565021196399,0.5294150694504917,0.46861374920971793,0.5007976969938981,0.5188101544327333,0.4984018182870638,0.5819370263479576,0.6071577860479462,0.6248344718846602,0.7876915000219302,1.237270176410693,1.7439333008014024,1.8074955637850652,1.069556517251968,1.3289016664883595,1.305526512454207,1.0650296440577522,1.7663473618762464,0.9398541316165373,1.0510338804657893,1.2611436259860713,0.7084039478978289,0.7619755984416114,0.8975044685971785,0.773115544630193,1.2667009408236802,0.8640351767354758,0.7750480786951641,0.7698871029451119,0.9647957390935342,0.8474779844830518,0.7422280422694728,0.9374862129567444,0.6958783496541019,0.9151660803753005,0.7656636369681459,0.9682001697719362,1.1760107510314808,0.9278600999014897,1.0701045985799225,0.7125164293527777,1.4065984779078495,0.6816361671424743,0.6650274168030741,0.5807267657071767,0.6503808012155975,0.5707246872485587,0.5601213890370382,0.9870080537161994,0.5716986761977566,0.7659108891078382,0.5142543340513825,0.5295130402808484,0.5770537613308205,0.5562678758253671,0.6229097771179251,0.6084960616638325,0.847385139162628,0.7213841614950318,0.6139212091175912,0.5407414812993206,0.6523568249594266,0.6244449283894078,0.5228218175359302,0.4842387594884658,0.7056803574035457,0.49124850347504173,0.549585926314164,0.45917914558580275,0.4542027450181516,0.4708400652989465,0.47045750229598227,0.627471726874491,0.4273141748463668,0.43932559230698115,0.6200345218333607,0.38085307124576157,0.35346828528407365,0.34998753323453136,0.3369971865924932,0.40390117854187785,0.40937368271947155,0.4635786574099023,0.4809113703824987,0.6724945787834321,0.60399304708366,0.561453721641781,0.5715099155919365,0.44324809307842233,0.37883522781190604,0.3319325670210021,0.3481643491319134,0.395010285696368,0.3685377256216233,0.3482319094655701,0.39169508721596036,0.5186998079261183,0.4644241906191312,0.4658241201754148,0.4728188201923928,0.47282456951748336,0.5311960169542065,0.6908824479785383,0.43652944295046126,0.49335613439643977,0.45102744035090814,0.5474313541529033,0.663367143663214,0.5575059949082452,0.48177498844895444,0.4624629863075447,0.45710206575870715,0.3893452588598832,0.4052731291496832,0.35761824561092126,0.4100514723415021,0.49327090203565327,0.5349097967419685,0.7226021625643354,1.4649780276642237,1.094056642508389,0.5382773227807894,0.44240801104801963,0.4445164165404331,0.40184500394406697,0.3915921794162721,0.4160961608304604,0.4124045850048259,0.4258934097662416,0.4453192716960264,0.44753465292962263,0.6384926991365936,0.659985864097583,0.9361877902698192,1.0328841233367096,1.0076061900799795,0.7342074454984642,0.42684802657045445,0.41903674721414036,0.4162136096891141,0.39798243561928903,0.44955970806127055,0.4576383213140516,0.6154858279641247,0.46276543827172806,0.4758556921468356,0.6986866303090498,0.37478018329348967,0.40311560503428456,0.5044803405691675,0.5423583345704295,0.5761208598343487,0.5002621060072386,0.7297624243097515,1.2147315561508059,0.8821963143097425,1.2155842672272203,0.9737506458328639,0.8847991045981921,0.8237239771532416,0.6529383064318642,0.7225632667282006,0.7548084323231733,0.5904692954170797,0.5559403312500808,0.6371096003417258,0.4472556083206876,0.4361769055340074,0.4188521727954142,0.44452724139801103,0.4518060322161169,0.48214514064195385,0.5408782772526822,0.5146362478397077,0.5836097113905692,0.5846798869486881,0.6518781768161378,0.7311328244822436,0.7534432467688699,0.8099545757638468,1.0059121633757742,0.8603145166119665,1.105096519416288,0.8497682673524185,0.7258421631043623,0.755811835033623,0.7487724892454884,1.6699357139789044,1.042343886059179,1.5545618909983783,0.6445563429915987,0.6332108238767922,0.6952361870379727,0.6974636189726646,0.5942817539674268,0.5510494051162884,0.6769002758962415,0.7416275238406326,0.7947067553120643,0.6759541758190606,0.945037839347354,0.7910517443552672,0.7788575798655359,1.0945511227561175,0.6547474342719578,0.5824549352898852,0.6360577833102966,0.6720267620582668,0.7995109288668526,0.8776703920300272,0.8792868425674294,0.7416328429178012,0.6680521605578158,0.8888416101319865,0.7825195034787366,0.6272319862833571,0.7777517084777571,0.8659522432891168,0.7105859186647097,0.7630640383436506,0.9445061815652032,0.9850374438886261,0.781710956800482,0.8234644233897445,0.7248240417074839,0.6779137013605915,0.5819498862787373,0.5707784520270333,0.6377783443987732,0.5459639019907441,0.5021310617780768,0.5545176129217598,0.6126124750134002,0.5131138877934499,0.5681851022111276,0.8243865130458075,0.662523283166491,0.6214838392272095,0.6836145164058232,1.022416428406575,0.9117143620672928,0.8537915679524782,1.059602363365049,1.113526443252004,1.1317335531697525,0.8483559902934873,0.7073479070556381,0.6192334792701235,0.8313477571103631,0.7556378921537982,0.8138108023556276,0.9090036213125221,0.6675413213668443,0.5242997821078054,0.48037671089170514,0.3969906810152596,0.3990142872490041,0.5734989038330197,0.7849090555248391,1.3490085277913226,0.789559815461419,0.7221646037203195,0.9740218989916632,0.9248021895282998,0.6769826120593523,1.1542617150708243,1.285915187290678,2.627067875190095,3.4386522055597464,4.3276677075687475],[0.47069885648528936,0.4557213851527751,0.460918824774496,0.4251699481212178,0.42362604356971345,0.396460023129255,0.37263951183256816,0.38893954921599505,0.422307215059363,0.38677266069843647,0.37573840369605005,0.4639975064195518,0.40386205214446996,0.4064395100230636,0.4701566958276607,0.43408766494419304,0.4812549236387055,0.5131037365776407,0.6358102016034823,0.5961263839816063,0.7170785831586567,0.7641562976405302,0.788085186281536,0.9697723755313306,1.0107191787962926,0.7776420844295777,0.5728810883708605,0.4946983967972662,0.47260434640993065,0.4427485738125006,0.5490044677667805,0.45284812072951175,0.5891257410121601,0.5498681728823898,0.47040289782266503,0.49976313739378975,0.4342827711726778,0.46877565593720705,0.5099485478282613,0.4901517230973618,0.5883272589509073,0.5958436451871351,0.613805505025416,0.8162350856881864,1.390509485164261,1.895388413314724,2.0287618914642715,1.1516889357785232,1.3603980028905334,1.418358974700765,1.0732047344555293,1.840653181935784,1.006098713986872,1.0916640864250833,1.1979655482244027,0.7174257588061517,0.7453624100522365,0.8577738383160683,0.7009213354224099,1.2567539566965789,0.8574887751202406,0.7000949398834839,0.7345321692187867,0.8385319020571708,0.7861483716239415,0.6893865397466215,0.8971735322157766,0.6494786924856432,0.8879876478558552,0.7218739949444888,0.8847427272153634,1.092244181898462,0.8556273103211028,1.0244037783967785,0.6499008782550142,1.3077918856922686,0.6168205485115217,0.6027733631335256,0.5403762462254649,0.6377841424428633,0.5169710761360783,0.5429358515116677,0.9712208373362957,0.5107530076146182,0.6931329030098886,0.4468596620593327,0.49319328376663324,0.5362445140038817,0.5382179706582573,0.5829189073096048,0.5667844756532857,0.8441941660972704,0.7263196540212602,0.6038701786058552,0.5473040048633111,0.673955165261451,0.6699707298832679,0.5315110462521015,0.4761334221852779,0.6695190948197537,0.47807120234137856,0.5326029105846677,0.4558012210789202,0.45449478219550044,0.4962790857921398,0.45374704851732284,0.5869670898160205,0.5068588139796204,0.4873528485378432,0.6294992716449804,0.39344701384519803,0.3997994861088464,0.3937534840356222,0.3865103404148287,0.41467397715918053,0.44108960114745893,0.4699104887471639,0.5178452722744082,0.7039362210651562,0.618459781414316,0.6086130031879512,0.5804237634832364,0.46677012148837793,0.40829225393880514,0.3928027193136231,0.4299172142030978,0.4597494633470947,0.47035403554223487,0.4403440632371506,0.4986514147437783,0.6338199371655738,0.5895635399298231,0.6036199473285366,0.5368137661169653,0.5975918920341369,0.6936694634635752,0.7552864694334771,0.5486682698138231,0.5694400510529763,0.5677619094490416,0.584646902952924,0.6760021617444483,0.5786361435135896,0.51715450625449,0.5030327192991417,0.48070084382892186,0.4350581174630668,0.44830481401328265,0.3825251191775709,0.40691681650620765,0.5153509205988518,0.5554750996106693,0.7244181279296807,1.4136793720920955,1.087755039479884,0.5384951173568471,0.4360288812548405,0.43141374801629706,0.39528457717407983,0.38733364299405243,0.4339561556267346,0.45880361685823867,0.5050229713676038,0.487365833014208,0.5273564284912812,0.7865087375617235,0.8160591535705335,1.1465075921678416,1.204000294863359,1.1509846549284832,0.8618958781199896,0.518342405668559,0.479227980874359,0.47705205034750103,0.43776250751544127,0.4556425775904194,0.4703439321177809,0.6083441383698039,0.46380778419296737,0.48181492340362253,0.7899891897428296,0.4158956985042398,0.4651487591496255,0.5857296795594573,0.6129651252471471,0.6135115411147158,0.5791681404622744,0.8055593403835616,1.2441525550639925,0.990031441717303,1.3559101430251392,1.0592138246105434,1.0350966243798079,0.9714328849162596,0.8056730219199859,0.8972395694332392,0.877259463164169,0.7304868326599754,0.6601522034600165,0.742144803978642,0.510702588731188,0.4720963805812429,0.48181580538325103,0.49475197697328605,0.45852647023847987,0.4821406142710321,0.5692295921250954,0.5305665587176089,0.5799052939350631,0.5954859149194901,0.6669214374425813,0.7437546599122642,0.7723508276203089,0.8148776206171789,1.0408760628871285,0.8884843967096772,1.1198616457288322,0.8691489643596289,0.7378071524108751,0.7640021876098263,0.7744834524866229,1.5211877919378287,1.0656141392349896,1.5438906716133391,0.6765854725116585,0.6247162513909155,0.6724770759247177,0.6864132108312042,0.6163683128234101,0.564360602449735,0.6895586244401419,0.7885302039838944,0.8347797413042104,0.7361981969938294,0.9844891531593307,0.9161783487647709,0.8597407159062944,1.1856340203614806,0.7284056359710445,0.674274961188389,0.6786134507056436,0.663014038465247,0.7902869563795663,0.8188227973096046,0.8348638568599155,0.7086140516859467,0.6156284913436172,0.819354225234887,0.7502443487119056,0.5911347935378657,0.729397669386537,0.8348224679566217,0.6965033339249687,0.7265686170453391,0.8905923504419624,0.973341339516082,0.787407434377598,0.8228328629771712,0.7165547657246486,0.6516331429104228,0.5524721516694369,0.5543553612867758,0.6211824966895615,0.541761190162103,0.5266013143036783,0.5753836113951498,0.6356294505708919,0.5591379596509596,0.6347291143811788,0.8767587770077704,0.694795394279077,0.706648969654616,0.7693928072193418,1.1218285216727044,0.9937994290852794,0.9044346807584858,1.1590317969294142,1.1704609334433371,1.1597064922793192,0.8839950588922972,0.7290478322980235,0.6436566688894015,0.8488615314052421,0.7741248309513953,0.8470797189296643,0.9717046221031852,0.7268367117961316,0.5900924802742677,0.5803392808792533,0.4575503761074384,0.43268260789812113,0.6413629493859658,0.7785827094240507,1.3852992729993818,0.839154289510643,0.6436763142124575,0.855947822409328,0.9379657770564906,0.6379152913887478,1.0375907690161092,1.1249702584059593,2.3617026733211834,2.990705905671416,3.7382650900996013],[0.9538472817176497,0.8949196712873644,0.7710286420833983,0.8038216699726052,0.6564249203363516,0.7000877561825496,0.6044536412550218,0.5973595651172133,0.5784236152069941,0.5532844468562165,0.5875273279631175,0.6266559737806691,0.5873072534742801,0.6195675345874585,0.69241268009803,0.6445124634154139,0.6741342186159562,0.708227527191505,0.8649847480395205,0.7733412619718372,0.8501193012084169,0.8596589051477003,0.939384512076484,1.1275872824663606,1.3136518602585034,1.0518998361542478,0.7648403476448261,0.6929242989576252,0.6540255355281247,0.6421921895822879,0.7416019750158879,0.6492872574482914,0.7398093144234943,0.7374670200439307,0.6590844319542157,0.677931970216935,0.6190306488517476,0.6539698977071764,0.6926807421965169,0.6808088401951218,0.6754166719438065,0.7861586359940519,0.7852233276359109,0.9356337427924146,1.4331119452003063,1.961568495083687,2.1144887748560013,1.2291388021487564,1.4106643273258836,1.4974857812232043,1.1891664323735298,1.8281461409809994,1.0959667499073746,1.2110985033383932,1.3286292751974467,0.8650900962285721,0.9076964348945802,0.9915113142922626,0.8635359469258731,1.409523037281884,1.0311355043483086,0.9194631395505818,0.940103053643079,1.004770486149478,0.9628030029152302,0.8894823819300688,1.079694952665295,0.8585609200747384,1.0373931867628607,0.9405724350113315,1.0481880036251099,1.2326505747920171,1.078569744304246,1.1786831299217055,0.8670129532859002,1.4839539453035417,0.8218995960298239,0.8046601060325694,0.7295890296223615,0.7944638512865361,0.6700305629560773,0.7207932692070368,0.9934541688092715,0.6278438043434872,0.7612821828095933,0.6161049266791472,0.68796025658391,0.6832214776101154,0.7158411350149395,0.7569898146032096,0.7741142450377335,1.0501141333866422,0.9097416010143382,0.7943990993161171,0.7556539520941924,0.8540913152507984,0.8501409062544779,0.7054302963477787,0.649521812504714,0.7741440912002185,0.6511529136835165,0.6885443956524794,0.6019631839025078,0.5926391759070205,0.7102821569975746,0.6362511167039271,0.8098771056523202,0.818707852187022,0.8228938420588058,0.8153695712758161,0.637937654399668,0.6329130637769083,0.6261216402585337,0.5921580406979781,0.59370982908815,0.6443255968260794,0.6743197017531095,0.7250013043836119,0.911221420147088,0.8264782704588548,0.8208156659604124,0.7756728780750254,0.6774528936533015,0.6051183368662885,0.5806160522559805,0.6457362310864123,0.6269520778618132,0.7301952553678915,0.7298732484507743,0.7283025258493495,0.9199212860707354,0.874977308799306,0.8500150639792134,0.7512529409132129,0.8177402967177633,0.8932606415563856,0.9671045968002173,0.7613914523342936,0.7777113667088067,0.7480471942944851,0.7371085081756791,0.8499769735472937,0.7541325776784542,0.69457932485172,0.6947704551561239,0.6654746879634531,0.6392518135364816,0.6247372187734204,0.5683887271247727,0.5885238740025596,0.6998376004730462,0.6639373681244822,0.8290916983135758,1.4077306102427096,1.0741887238382741,0.6683382737484842,0.592297903871484,0.6271587200232132,0.5759182912819047,0.5713362435739208,0.5984596089002078,0.6309024408569075,0.703257628314099,0.6757202071702468,0.7139876792170159,0.9792502257169828,1.0394349072793692,1.3959265582094615,1.4839347151698656,1.3771881191581066,1.1008705752164076,0.6990665439492441,0.6384435571333595,0.6345380316176042,0.603774131999114,0.5915605048689195,0.6311145432279581,0.729050165695825,0.6217027895037502,0.6215601507357492,1.0085808198618997,0.5997211852228521,0.6750218381678864,0.7877865814021257,0.803101059686785,0.7797239805303936,0.7563778771471846,0.9237601043580707,1.305407738786998,1.128040248036343,1.4895061930958395,1.1135939264480685,1.219060773208727,1.1887212126063813,1.0621335886252778,1.1932097240697155,1.166596393420158,1.1004202963571408,1.0863149981809705,1.0589562701116149,0.9313182122724954,0.8539691168858833,0.8728345093762464,0.9337044490292297,0.8962316055251333,0.8895923266487651,0.9629255205673253,0.9541229503907839,0.9539730529596461,0.9585989526704294,1.0245196344868668,1.0729274348441222,1.0643012827803606,1.0535071240735971,1.2166188583705138,1.217741868112226,1.3304648997922162,1.226885922815541,1.0790131146725968,1.0949048259056775,1.1119287912299385,1.5084528702041828,1.4498347000453837,1.853276344341179,1.014425799378818,0.9504137138744548,0.9993684907572259,1.0582028787240991,1.0173504430354205,1.0245243002778965,1.1450923881826223,1.2407223524099198,1.3038730524112163,1.2153117701610188,1.2856219456215487,1.2801330215913882,1.1998961705593587,1.4194914876075677,1.1068252592324057,1.023107098654745,1.0675267576278256,1.0602976189416329,1.1151372756980202,1.1330155761220893,1.0423440451042518,1.0294272072820434,0.9509628876110345,1.044969749908576,1.0301873652487767,0.9250804301908285,0.9884736948837636,1.0702122247300685,0.9805238011349868,1.0218310764573564,1.1543274466719182,1.2081012821148334,1.0742827532632744,1.1028947570869698,1.044212782158605,0.9891436389306256,0.9230316750206794,0.9371285413065963,0.9965167297558988,0.9584342062137736,0.9728567134380446,1.0082890445465258,1.0405999164299025,1.0195671651642448,1.0751369251502507,1.2127501860043477,1.1228402982327046,1.1302394716101398,1.1667853644395698,1.5117630727994893,1.3747467845271943,1.3146684417449368,1.5279873472332506,1.56486904304016,1.4994646331594605,1.2779825140160477,1.1478625116277135,1.0568574902096441,1.2242615312948715,1.270472974861938,1.336897936543491,1.4629792182457215,1.1664728575825734,0.986538226874841,0.9543716615579961,0.8067811215784675,0.8351536420272607,1.0331072766290823,1.1271002172735411,1.639524265238876,1.1222653690048,1.004334456823723,1.0767131377602615,1.098994489562474,0.9436449889811,1.3523378057771314,1.282913921894683,1.887298399195182,2.2761010468220633,3.163116861443529],[0.5380290792635354,0.524338622332025,0.49807609421878263,0.4563308235295395,0.4954001321004852,0.44836652365155033,0.42904275970503825,0.4419423721254952,0.43029148757112856,0.3865127598442166,0.38715765506537375,0.46278206523267046,0.4019941158230397,0.3874648624975248,0.4598020171426295,0.41725596104220686,0.45639020510910877,0.4518449575264129,0.5756030024537455,0.5429757974085353,0.6501922820432972,0.7253928455907054,0.7892994629209132,0.9391701180700095,1.104725301558644,0.7753766391195297,0.5737816206004739,0.4762623117356311,0.4539431959570331,0.4518973644899266,0.4699562705612558,0.450975777931617,0.5185236494298875,0.4610538046994401,0.43252434747777985,0.4524486551738811,0.44580023988966383,0.46035737400544935,0.5092632052624295,0.5156665479440227,0.6498285186315909,0.6087298775948782,0.6160935546791932,0.8514248826873477,1.4330360583852984,1.9763062525971624,2.1120758012069962,1.1936343679497385,1.4127677843997322,1.4905413786512856,1.1442485790233363,1.7206119184474444,1.0242460725768983,1.047995996043999,1.1801414863599247,0.7642929113600425,0.8216245103576043,0.7853149605892935,0.6622224191034181,1.3219381276297213,0.8738584419918306,0.6726803026980878,0.667034079999752,0.7531004585632117,0.7087645226587302,0.6174365914365985,0.8348439803354609,0.5557365903718589,0.7820956590033953,0.64637341811942,0.8098573203693499,1.0403963805209708,0.7579870826307096,0.9125036353842259,0.5882661720293733,1.2325195770213329,0.5311244548082349,0.5137077070545263,0.483984000474597,0.5750398311901274,0.5016756003881903,0.5681871537191587,0.9327778263166766,0.5447790020438121,0.7233966426030254,0.49031422820627013,0.49225154205481564,0.5324526668732033,0.48255331604633783,0.5264486616020484,0.49588975393056284,0.7770482435857247,0.6325682188362532,0.5128352626634758,0.48523308120199443,0.5985760261657543,0.6332867526674114,0.5001171241787049,0.4712117855948067,0.6302602859309793,0.48298061086401484,0.5991169110993179,0.49371787224891106,0.48389319271004616,0.5608105618907367,0.5471048149847787,0.7433635430339215,0.5858214462206042,0.5635678578222152,0.6915261548681687,0.47608267271005106,0.45085994434988425,0.4214159091051278,0.43755675955255696,0.4442471707395901,0.46565123933928554,0.4766832217906361,0.5149198868925897,0.6708781124883281,0.5759401309444605,0.5758120007917694,0.5473002563115306,0.46864319475472194,0.42028175792939454,0.44224872772191903,0.45531814106531,0.5242829858696042,0.5058212359051905,0.521370869113454,0.5654888241534358,0.7062643474093103,0.6710500741929667,0.6420004105666481,0.5985436374999337,0.6158048428322322,0.7374285444406725,0.7520955674533686,0.60513400111675,0.5938201089680349,0.5498191200216027,0.5905136823017453,0.6646333835803143,0.5788883663307763,0.5300196150197444,0.5218087871023176,0.49011931431395084,0.4609109398953765,0.4614450327844845,0.41890537047486887,0.4495812271627495,0.5464871621636742,0.5294379923284437,0.6828123504919882,1.2715798956172784,0.9549201802480023,0.5338145114578595,0.44650550943318734,0.48027928075553766,0.42533838475671665,0.45643278405700627,0.4679504323522182,0.47007537799220145,0.5455989080592684,0.5377188916329999,0.5959600195379721,0.8392224443474564,0.8472679025659539,1.1988829391039297,1.24562995960532,1.1468661349704392,0.8769878698905802,0.54600528645688,0.556028380172125,0.5315224223202611,0.4711424916373995,0.44501216590808873,0.4894079972269016,0.5844032549146239,0.485137013126296,0.5358430974687975,0.8520298666315423,0.49282862799343335,0.5560262743466041,0.6343404082624943,0.6412644007789395,0.6513134038960858,0.6324684612912114,0.8244095189000386,1.2410096628249099,1.0366392609646096,1.323764001642182,0.9758244654195574,1.0280761800702964,0.9810431216027494,0.8419167541615852,0.9615245960644638,0.9095174004972368,0.8401054620906542,0.7851606036008745,0.8961231425371823,0.6476127064334447,0.6005823541067293,0.6255706682151763,0.6071340463680611,0.5674146228688751,0.5831321971441322,0.6504363574139502,0.6132400682200615,0.6555588661583482,0.6614530331081543,0.7297652650222831,0.8136916915223361,0.852742507985241,0.8433628711368756,1.0867171540691793,0.9547101102911943,1.1575730176549819,0.9307568426402909,0.7886452399191264,0.8317397577989029,0.8879125477178607,1.4686416751814433,1.206793151274991,1.5190046693145627,0.7127767945920447,0.6401712377585901,0.7210342634953733,0.7178731078808654,0.7104552245677468,0.6097913499787018,0.7666935152467841,0.8616521847785501,0.9062964565602869,0.8720117598173718,1.0971914399030798,1.0566112619610655,0.9997345246653294,1.3039096843562759,0.8653899044999684,0.8076216680597693,0.7499360511729984,0.6849729829289227,0.7973971098402125,0.8398427207760938,0.8445672586752583,0.7436500598346576,0.6507512585683588,0.8206322443294136,0.7627484379649698,0.6852663782480239,0.7958122325997826,0.8967678020220972,0.7913572580106362,0.8108423860936962,0.9549748878321961,1.0480390672456674,0.8702746351160395,0.9006807491440981,0.7759473851264499,0.7210717352008329,0.6476580053029898,0.6475631651390491,0.7171650368368442,0.6420004534121172,0.6332193124611858,0.6636014604466054,0.7015088233282488,0.6369042495820597,0.7303914569583039,0.9536258925972916,0.7825332773542167,0.8170298368600674,0.878146444791107,1.2002978625662597,1.0585759072522145,0.9605205952769165,1.1919239968361284,1.1667667925428917,1.1996317653822874,0.9302681407661175,0.7859692969708715,0.7020060182251833,0.8744301183274009,0.8473531191241623,0.9191946290513353,1.0445167812753908,0.8166679401661981,0.705647319173492,0.7216526051610416,0.5951153179341816,0.5832589056507029,0.7855329660409784,0.8668864390374875,1.3914525710939314,0.9550696955623323,0.6900086665240918,0.7777816623832268,0.9271535855187308,0.6450547428294912,0.9862975781955776,0.9073517145527792,1.794334017167726,2.2752079809706225,3.072461305560363],[0.6002944933528054,0.5705175304192746,0.5955197971052472,0.4794741644273399,0.5760544967232396,0.4517170538678833,0.42342414606480555,0.4457716706097177,0.4481695246692741,0.40651676782405605,0.4260513982856583,0.481891267981037,0.4386501366348983,0.44292648442505167,0.5043702967212398,0.47028077318442185,0.5291638582822121,0.5320547073062408,0.6881753669266132,0.6703440331172175,0.7911237888567206,0.8720109666107208,0.9666622318885203,1.1297665769380743,1.2442868115199897,0.9145467122089951,0.7201470959535551,0.6166590343923676,0.5493842771534715,0.5065864473267856,0.52415961328924,0.4787226791937653,0.5488878978161597,0.511583153483031,0.5113214911387266,0.5569074274022959,0.505278887176551,0.5729041501663815,0.6351468557797784,0.6500417533609557,0.781604560762847,0.7354662078702286,0.7608314743389323,1.0224287669823515,1.6461287024316427,2.17090527391836,2.3696772941838806,1.4121255242937438,1.536439733956339,1.7020695824883605,1.3519682030358904,1.9198779510310935,1.2083543107435124,1.1765752951878328,1.2039711484275253,0.9142043757999959,0.9226135155438542,0.9204228781983657,0.7873333067029662,1.3718431043191173,0.9788850260978412,0.7742838040889097,0.7298506067570193,0.8498405128201106,0.8469807001267661,0.7092183974023782,0.9187175964987189,0.6307470133103271,0.8147234492469513,0.6561920007038305,0.8106058063348991,1.0565710156173405,0.7641982094861991,0.9519768148623741,0.6328792000002618,1.2112934164676994,0.6190977059482403,0.5843221488889061,0.5686198125466172,0.6613312461772802,0.6081982265069542,0.6648185582712126,1.0087405782816237,0.6761997035635923,0.796033860529769,0.5947993738048243,0.6262545426186678,0.6075121905342639,0.5856420355360051,0.5816160626925703,0.5507236195110794,0.8570074524469546,0.6985622921142469,0.5711130832840478,0.5389035635245212,0.6692706791031215,0.686433208895108,0.5488826219825989,0.5091872314480623,0.6726515974081432,0.5027093497008454,0.5985526316201394,0.5166182152298082,0.526344808735717,0.63990680417889,0.6002954403358194,0.7432186433600677,0.637915701550034,0.5971569272999069,0.679591306995797,0.5195852990126315,0.5003915303613301,0.43298542431451215,0.468896538787912,0.49363232823210274,0.551736101715174,0.5766461596860433,0.6936452908953195,0.8323184979732047,0.6387421534052274,0.6627760157271484,0.5964209823293265,0.56163883439055,0.47857404721795777,0.45855148833891346,0.494653978257283,0.5724583020544459,0.5193852827330613,0.5548221445164625,0.5694369138376566,0.7150257478607395,0.7003806170159205,0.6714643082884247,0.6046407037368104,0.6310482870217694,0.6861693100160497,0.7651924028340141,0.6679766337986781,0.7006299527231101,0.7165755724463903,0.8334810052069823,0.9139036420791856,0.7671918879353854,0.691195573927818,0.6754063543541368,0.609697787573428,0.5647731524165617,0.5395347391177243,0.4620049060725111,0.46605466490668546,0.5548544424365821,0.5423698510055966,0.6848897702445631,1.2869724311683435,0.9899249041515253,0.5635234106557218,0.47486473061404216,0.49558420341288484,0.4552218019188618,0.5030386012672906,0.5442662610838962,0.5509817234136823,0.6404453472988763,0.6328140463249152,0.7320938032613289,0.9954247495689141,0.9524073402029753,1.310808252480793,1.3127818243491287,1.1810011456179696,0.9222963685727343,0.6528474607672822,0.6513867389291708,0.5865170859983316,0.5371208114932565,0.5127336725054793,0.5441820125094498,0.6206049228377792,0.5568488959545257,0.5904049871708664,0.8564198044711441,0.5427286293130825,0.6262446280659381,0.7156138547491379,0.7288629208750861,0.7627353204383632,0.7506468565541713,0.9715374545052109,1.3053569058200065,1.211968686304989,1.455299432815155,1.057165793277143,1.1535124439665148,1.085810006424809,0.9123128926536757,1.0108117627396123,0.9778687770332968,0.880339157051963,0.796092118618445,0.8488625588069124,0.6257832541733094,0.568287607872787,0.5874884562624518,0.5897682503886831,0.5702840039856102,0.5850733631101889,0.6477647518236942,0.6711561307113095,0.7195101832247953,0.7321384237354696,0.8256240553422022,0.943022818746878,0.9594510132922934,0.9625677628618912,1.2306663777558173,1.07822949948261,1.2950846694305276,1.0360904607155423,0.8956243657980406,0.9799045075797969,0.9993427350601803,1.4647143028940386,1.2643919090241023,1.4222173181190592,0.7698209123405567,0.6904518574059857,0.7614816119744587,0.7325542137507067,0.7520337922815911,0.6415894603049276,0.7670654965436777,0.8869142727465006,0.9092826568804335,0.8656607491965972,1.0817238741424933,1.1181301108351431,1.004077947863334,1.2597356389178984,0.8452114557265112,0.8088304895334202,0.761784397843249,0.6869105807408334,0.778656894653116,0.8102280955295452,0.8011457833584318,0.7367052402470149,0.6520167211445159,0.7934199014826138,0.7442711994055069,0.682784277587585,0.837746167502494,0.9525277721303126,0.8493804890988231,0.8898705900752295,1.045481823268025,1.1688553650400189,0.987718021600891,1.0282014117002278,0.8889429204652259,0.8066718535193352,0.6901722201438824,0.7053427811146957,0.824664037888408,0.713796535937821,0.6650011453078516,0.7532085442475577,0.7916924536336966,0.6835204976054451,0.7897216973496869,1.0506969510625077,0.8288860790746296,0.8881243738581855,0.974368332886675,1.3031596229521345,1.129273303615495,1.0034821090091293,1.2872710271135661,1.1916625761141497,1.2548272836428846,0.9754937037313902,0.8253286092282894,0.756628491121747,0.8802928281244723,0.8263819860940178,0.9200139107790084,0.997079860626099,0.7841858123821751,0.676747319897027,0.7004250247162968,0.5832141479682009,0.5629620633819734,0.7171148759460851,0.7755841915085981,1.2796165503373127,0.898268338755955,0.6263729893802362,0.6797448388792405,0.8767066845587727,0.5659229675507675,0.8621886458360214,0.8408354512311675,1.5478457112888262,2.0567217073478545,3.0171807303654483],[0.50427070399836,0.5434977093751748,0.5859484392580198,0.4884692173823985,0.5332174267630737,0.423480449483742,0.398454283991282,0.42519810161514093,0.4158379280291142,0.3250366006663937,0.30865584878807084,0.44351500887288875,0.33641977736536954,0.3149880946277117,0.40518909666728276,0.36050100862139983,0.3797969787871803,0.3921976818718577,0.5076073457337659,0.4750892086128023,0.5713809364294807,0.6956347627145235,0.7860077852948988,0.9136369300213104,1.1130585706544116,0.7157688346352062,0.5063813076141421,0.43115718556172083,0.39526072962517167,0.36483790101320734,0.4179935853966035,0.39676803106251,0.45556553372099085,0.3960943134616337,0.3720573745361627,0.39239608061584724,0.3950891827848579,0.43857400060856505,0.4700789195413456,0.49813820943159165,0.6244446809747387,0.5713331339857882,0.5805846735746671,0.8262181946152487,1.5218784338524873,2.06417620621683,2.256486597595524,1.2178172438452355,1.390571391862695,1.574387194315839,1.1975790177171868,1.7415327173003796,1.056759165509037,1.0434455388047637,1.1622779076343288,0.7817382702484046,0.7870127098066467,0.7679636411851545,0.6268496876256667,1.2606036531029585,0.849571836118158,0.6135054331088958,0.5800166177018176,0.6630302440273882,0.6928782620408704,0.529631805448552,0.7420012723851797,0.487197931587663,0.7145598793306165,0.5633575448222861,0.7564880963837709,1.0212039253984118,0.6986326125356586,0.8597825543848515,0.5087273380732794,1.1025529393698006,0.47187495909074745,0.44416880101997114,0.42216477835944255,0.5168776456807576,0.4393748266040167,0.5475772614754039,0.9293439772251157,0.5245403215864582,0.6199124829591558,0.44196666022602854,0.44155553092836514,0.4669986937085903,0.41316597207617334,0.4637568534193826,0.43772283187909694,0.7418172867980608,0.5987021678105392,0.4477721034680758,0.434577300136234,0.5638778326652958,0.6124205720672056,0.4474073034078844,0.4265341743006614,0.6125064892532601,0.4583442786816672,0.5378218932148814,0.4416111972280429,0.45165490808588565,0.5800612441607542,0.5238114706263213,0.6931195297300018,0.6219703251133603,0.5700675303162995,0.6643186926294372,0.4984317458855987,0.43704594097718447,0.3790912689881109,0.3695298484159814,0.35281426668084853,0.41206213768773226,0.42280093758437215,0.48691936341730674,0.6478924882246099,0.4810799071412893,0.4954460908106305,0.4442856612320007,0.41708186449848267,0.34701880899202225,0.3482820406967605,0.43141494703964006,0.5106097806165925,0.5024543982557054,0.5351931392439081,0.5630929882304687,0.7097657415606319,0.7073427607709477,0.6751098756988961,0.5805238475335521,0.6084749850625665,0.754046639162692,0.7800139201517615,0.6083894601763182,0.573271464750126,0.5603690307158448,0.5787116061051963,0.6743120015933117,0.5480053988262298,0.5095296317074037,0.4989827294037848,0.44473368833171373,0.42427481052564353,0.4080599019199256,0.3495222324319099,0.3856737828222521,0.5220374279204532,0.49178104536587797,0.6952155867462867,1.293318461802042,0.974463587486748,0.5141961345218355,0.4213801741721117,0.41149558651342155,0.3632959753819845,0.4017474201648581,0.42661148984039754,0.43454597504647463,0.5246910208648362,0.5154853146946222,0.6501422156401261,0.9420651207386092,0.9335285728972404,1.3849991453382133,1.4018375732596333,1.2393022031592102,0.9088154394475163,0.5204387349915685,0.5140237252722502,0.5102901592318272,0.4331070347645263,0.4287557895753838,0.46291356765768416,0.5759637394490322,0.43513173637512226,0.5120824687723953,0.868780921305076,0.4618391366142531,0.5389755436354137,0.6510316053150237,0.6379468177379666,0.6254370111106605,0.6440846304823452,0.8947316493346182,1.2704631863643174,1.0892154835096823,1.4169300901158706,1.0041500614950942,1.1244185545091716,1.071120107167656,0.9316379368615267,1.0749423946372036,0.9798453619955837,0.9055373294901138,0.8061689531625968,0.8483137566810697,0.6245678990196081,0.5569630901571784,0.5751470962412297,0.5960122763509221,0.5697236112205893,0.5806432834214071,0.633648106299122,0.6658359725896338,0.7310625443738251,0.7427788029376429,0.8264430666355099,0.9661407821339422,0.9815004747864728,0.9677869726735051,1.2459623953513221,1.071750000216586,1.3115953519276902,1.0334666141713653,0.9036417609485504,0.9880364167260702,1.0040411056881255,1.4605477579394979,1.2538062235848997,1.3834482520627571,0.8103175880141581,0.7273545968186592,0.7534214311920938,0.7485010661309865,0.800455682208532,0.6792783705359019,0.8061698409346425,0.9525928443927135,0.9970462544851275,0.9260404863311144,1.0689879747367248,1.150942324379708,1.0520792451538632,1.292964374315388,0.8629431255663539,0.7906321749157986,0.7405544944217745,0.6709164604026072,0.7672578438883987,0.8272840768250543,0.7589819279460309,0.7166031988680772,0.6406154300059305,0.7643796148595552,0.7202718711882676,0.6716317403947843,0.8349925668439251,0.9553073046819389,0.8531097622212648,0.9014636398783576,1.0722855889462652,1.2185487249078732,1.0178320153073463,1.0603580914426094,0.913449661990176,0.8271048265803883,0.6971529949488556,0.7307231518895907,0.853454700975092,0.7322264089851932,0.6881106629665503,0.7902736025888412,0.8212888950829837,0.707865861403506,0.8333940003020249,1.0873695288316896,0.8605302640658693,0.9177516921334163,1.0027321330106471,1.3184192056277335,1.1582731505379433,1.0304412099479214,1.3207397273659462,1.2005095916766484,1.2632146413502994,0.9608583856146712,0.8235201973564331,0.7589656463130313,0.864107860621004,0.881879638527956,0.9856861602859772,1.112825783812118,0.8459364296355009,0.6896180733654113,0.6978651707401984,0.5453682132821955,0.5738559885181715,0.6998603364527349,0.7092967309894944,1.1997401236662804,0.8832856129458257,0.5763375485559054,0.5957431034911053,0.7770196176003068,0.5163596255623953,0.7556904801617914,0.8381521803916643,1.211796107408278,1.853623612827452,3.01731469480813],[0.48755121977807103,0.6105731090638694,0.6660244668500372,0.5110379798383335,0.5171084846976349,0.38529882956129524,0.3203165435687989,0.3407429321079448,0.3443524246666391,0.2930441218399819,0.2923457915739645,0.401484022446587,0.3381001893245153,0.31959395473896096,0.4097182275178247,0.3754850977479331,0.40744657628826036,0.4235288778741896,0.5308835541241648,0.49736402457096995,0.5812245592213249,0.7076953841561254,0.8100118337994122,0.9037565344013123,1.1409560767350393,0.7315412816385753,0.5312944572113049,0.4665997418084423,0.4243048523879554,0.38347994528158125,0.4233074570792631,0.3910343543632463,0.44308330420815223,0.4046718859166415,0.39075104005123446,0.4122221864579867,0.4181380437140097,0.4874918002787087,0.506550591301431,0.5343054346396642,0.6489436039334342,0.5986512966929975,0.606512032102509,0.8425931394415667,1.5302689649559893,2.0744322039561567,2.258371470689904,1.2274836694919495,1.3947824748965478,1.5853634319682761,1.2231272802893212,1.7337742570491785,1.0750026462736821,1.0501072001189367,1.1719349511261061,0.8111556846570364,0.8216876258461958,0.790463081901013,0.6644239111719069,1.280917195165549,0.9076560793786517,0.6579763186810732,0.6108649090057856,0.6760110040540065,0.7203878090166775,0.561345649892335,0.7373085308501048,0.5061763846417657,0.722063675125926,0.5957457605640748,0.773249471838003,1.02546172174246,0.6996611795711979,0.8491907493013648,0.5216918395293709,1.0423052068502636,0.4879078128128707,0.45465765345451703,0.4545799109234874,0.5413718576142815,0.4702132401991283,0.5657881190751909,0.9098496784703676,0.5480449425474136,0.6211372292211483,0.4589734061426737,0.4829668300076598,0.4871744315763186,0.4376443004872632,0.4850313414165714,0.45923854960998267,0.7341558992905349,0.5939901028513151,0.44700818208220017,0.4358154821583099,0.5528293569017797,0.6142482047619583,0.41288547643570234,0.38594390350061564,0.5425849587289804,0.4164417157910452,0.5159217778526176,0.4182879445381641,0.40895579724310666,0.5983428299464096,0.47919746203567704,0.6418944867543163,0.5810245834429102,0.4988358237354837,0.5944508108610276,0.4292700557018056,0.390193276074666,0.3363655362143957,0.35527449318710697,0.3648046404747415,0.4461373404189552,0.46714635249747477,0.523091338436778,0.6534795465766452,0.4918495967867874,0.5046628350015826,0.45201785439376796,0.4612266308033163,0.371176894376539,0.3235622630314568,0.41292858859925324,0.49779265567372083,0.45901744250763354,0.47238647733737854,0.5075011889077764,0.656402581481486,0.6530588159161763,0.6472936784139081,0.5334154175066388,0.5841000435107799,0.731986302689618,0.7417673691718738,0.6128663861243878,0.5938508057976088,0.5894881512402279,0.6039479117363012,0.6968135696121458,0.5805151338312059,0.5412908167614223,0.532626702206602,0.473427388626371,0.4541332178216075,0.41976324838617,0.32950293352984944,0.35648804472462015,0.4624051907370816,0.4119195038437257,0.6000263070910105,1.206048728906976,0.9085412012940458,0.43398976790633853,0.37055668498161104,0.3591379490744399,0.34438656858673516,0.37210897680336313,0.41933270112518495,0.4466384876212281,0.5539588285211803,0.5420923857820857,0.6776349259229584,0.9633963513029878,0.9421573004761279,1.393475210468955,1.3947492179701,1.244476216758975,0.9061199141005262,0.5281836041065168,0.5162404735603238,0.5085058723726316,0.42875355954449157,0.41602096813444306,0.4542743408182911,0.5402854763619511,0.4448696504144424,0.49324949277169283,0.8830225157083437,0.4383507281503426,0.5295929112842268,0.6497441357139458,0.6435457024830253,0.6396834498119537,0.6710560809802415,0.924758497942849,1.292455791333937,1.097091957355631,1.4182482788252366,1.0104848567099225,1.1271167510908608,1.0673116492101475,0.913118287071849,1.0428545700896772,0.9421411219267151,0.853712898771379,0.754691728161989,0.7909148550827285,0.5383186971415919,0.4530158241870349,0.47399859300898495,0.47666412884020687,0.4413692598644869,0.4667443076983436,0.5338423857303233,0.566124951909815,0.6102494438186599,0.6578760588434641,0.7699086615815213,0.8959486781054856,0.9147902398194966,0.9668207478301052,1.2251325678946468,1.0582112767802925,1.2626511759418153,0.9539426856393313,0.8169137854765224,0.9070276439995157,0.9346089558585038,1.433319109042424,1.1516836415351583,1.2477271641790957,0.6629237711298491,0.5936848932754432,0.6283042904790667,0.6607824595929388,0.6774977138979222,0.5733971679434772,0.7438598832543496,0.8908953650261535,0.9013604209035867,0.8447409484005566,1.0301129300506497,1.0685355084441814,0.9603432749513601,1.2468461097008796,0.8029063238780174,0.7593514024094856,0.7287854459271013,0.6215989742292667,0.72114095928607,0.7512140875446505,0.6981824878651672,0.6386608193904276,0.5460595882776849,0.6275948295710105,0.6229151202554826,0.5330027889863622,0.6812356567056156,0.8076694802847073,0.7201985940099689,0.7581225594699793,0.9220414254173301,1.0988814737463977,0.908364166555566,0.937199751805882,0.791937706434495,0.6941076062783771,0.5584040425957227,0.5978048671340794,0.7211997213403388,0.6082886674582804,0.5524087544707951,0.6568771482589838,0.691228534963981,0.5747243706914779,0.7104078109209712,0.9689850060381596,0.726330770530782,0.8017353951272684,0.8787241849332154,1.1901342788842986,1.029144713760767,0.8861532903654182,1.2348844593000319,1.1346071793410004,1.1655191229538795,0.9148244950763749,0.740161797641429,0.712565681793269,0.816373213915811,0.7014709695262721,0.8125407445573081,0.9392271187150409,0.6910099268950528,0.5757774261536787,0.619824605963409,0.4737731397988517,0.4482675007256286,0.571408928213283,0.5617014091607192,1.0551855746166436,0.7742862539618216,0.5235204316347252,0.5915039382816607,0.7180370861931484,0.5690517496888458,0.7862752667822659,0.8092926513655175,1.2779957312784078,1.7755781892717437,2.8083183885196643],[0.48507275875992717,0.5555181945901206,0.5958604979772201,0.45393556238440214,0.5379331030596257,0.5043314912064312,0.46425031660161026,0.4891982404366821,0.538841868945795,0.499731078141547,0.5127375022876336,0.5431002551370611,0.5116157616893728,0.5198653196889966,0.5882776699991156,0.5469539149212082,0.5656167270866537,0.5696717645628266,0.6621370285618535,0.621255441712921,0.6881933956079267,0.7935041611051944,0.8676070080462961,0.9885244435372978,1.1730362221948043,0.8007132280691998,0.6221124489707044,0.572787215795565,0.5645239767287467,0.548418524033044,0.5791132257990727,0.5233987438162341,0.6295834034520951,0.5688907275744544,0.547026161928122,0.5733869178550935,0.5426432549668411,0.5781399221747631,0.5991715400148669,0.6072762490647503,0.6981813423936617,0.6523380804342208,0.6782163393438472,0.9172259280024002,1.548647205329089,2.0782252184138983,2.2422083271994295,1.2850694053294638,1.4540827910983718,1.6065942632298573,1.2503780656657746,1.8760662770933387,1.1437343374437858,1.1529211868217812,1.1675465346937468,0.8631016126188396,0.8718166270389937,0.924666402071238,0.7663847329921186,1.3200210930218885,0.9346502476361851,0.7054811318415309,0.6899340246221527,0.787009162238749,0.8060278053056069,0.63104862054746,0.8310146707819,0.622831356333165,0.8084677913523096,0.7081521848238606,0.8371016834025784,1.074334664252923,0.8092821763896682,0.93253760315741,0.6529472645602308,1.1940231534852372,0.6267263774953298,0.5970147253407176,0.5833066172274378,0.6238461807680175,0.6152161746765411,0.6427214230802718,1.001721188472004,0.633602325681445,0.7399887492568856,0.5826880394311108,0.5995936711031612,0.6443815605739014,0.574551446041535,0.6043664544646078,0.5927221425595152,0.8548898638894785,0.7393290797762219,0.6231744868092053,0.5969657860215191,0.7262549620053158,0.7379978035025967,0.5995174498127489,0.5823141803261922,0.7002391236532023,0.5992111071988729,0.6817258163149448,0.5525066238041008,0.5932095819848159,0.6823472822191263,0.5985390265349688,0.7095420580078252,0.6196328497417478,0.5681674710307438,0.643429047626663,0.5070434245132592,0.5122110969419205,0.5005172531728662,0.5050403762331994,0.5056937135204567,0.5374448888251588,0.5544888605225013,0.5960024840896797,0.7249714866547629,0.6084909421254845,0.6189417942683646,0.5912200221973406,0.5387744815407338,0.5030312557477001,0.5059482015194263,0.5044314689750171,0.5759346587709262,0.5181231539830466,0.5125307947352938,0.5260519163551414,0.6622020095207142,0.6541368489737367,0.6200723618021171,0.543287744284766,0.571041387068247,0.6541328219940684,0.7139689306194698,0.6152407824323558,0.6155558298844299,0.6320718234631736,0.6678700179766196,0.7537354184554954,0.6480126322747713,0.6137137486870602,0.6014841052965176,0.6099905158288449,0.5737028176446614,0.5543345547729073,0.5010841616070636,0.525756518639053,0.5749695345137358,0.5828271843987293,0.6865853735589375,1.2813899853804112,0.9937854488906226,0.5770680276330572,0.5323897193999881,0.5462248622197227,0.5237311956674945,0.5321421936794267,0.5424521232782982,0.5512250791427465,0.5930074757905719,0.5738268851395293,0.6630627842791716,0.9079209238493582,0.8884799753134989,1.2523328571519587,1.250374150510256,1.1373871121920007,0.8703424554809654,0.5832961250905362,0.5857010563933577,0.5468188171013623,0.5257540463556846,0.5446361666318857,0.5764553225285951,0.6641354250950292,0.5459423821256713,0.5712993438238433,0.8699919088603291,0.5144537742949812,0.5733015835900547,0.6668406762376173,0.6842113440021533,0.686800415529307,0.6815479512022564,0.9079539890612592,1.280288918356471,1.1148550233632284,1.395497188811931,1.0181153362046833,1.0619777956444483,1.0000535358622349,0.8388847637745226,0.9618841056294734,0.9192746417067715,0.8187520216399272,0.7361163765051789,0.8086686815056585,0.5679212455426336,0.5187220527268491,0.5415647192602282,0.5004118355434666,0.46566102348424226,0.5215148167480494,0.5444800861112287,0.5435336132324947,0.5985680498801268,0.6413424238130099,0.708040825938769,0.800531272218161,0.8390737489879793,0.8726887126885509,1.104960308038039,0.9791824661667115,1.1363645498220067,0.8871308405499228,0.7387471756750548,0.81215754368773,0.8415091238832336,1.402646110453218,1.0910448871607048,1.3076278174097582,0.6158444359000265,0.5786010762037738,0.6762078274796945,0.6666873500880865,0.6086145298741347,0.5512871744401541,0.7100520002394033,0.809285873190815,0.8105953069641535,0.7713241810411509,1.0136723386481323,0.9989976258317136,0.9146626962000916,1.2147469946082263,0.7735506463266127,0.7741683927213999,0.7476740762245758,0.6859519580779275,0.8026775995408245,0.8092564775404083,0.8316098259380587,0.7407738008435796,0.6271732897048269,0.7244702427158077,0.7317497169826797,0.6156834043094206,0.7246985437298292,0.8468290466649392,0.7442558905637019,0.7518199032786773,0.9029823790799972,1.052467809522994,0.8392063909836477,0.8569780046857804,0.7192678455056765,0.6473354560783695,0.5728653404054471,0.5591051936597283,0.6438201357876981,0.5542705305805599,0.5215585605200729,0.5816942429135556,0.6189812140305546,0.5421392591030418,0.6428884156221958,0.8799374856356623,0.6754327883977257,0.7738615768152033,0.8336648321082697,1.1593105723094748,0.9997456258245463,0.8755798928344216,1.226756900752948,1.1495240293733713,1.1293644423344296,0.894545297537961,0.702407407046427,0.6654038755185312,0.8304540505122382,0.6934375246981,0.795178569058402,0.8888838212625692,0.6727358119524576,0.5978718022435138,0.6320375029169236,0.5172921234363157,0.49547520067816836,0.6687615020243735,0.7198973807202007,1.2371699079718583,0.8782173713955053,0.5927334896480342,0.7227849167183042,0.9025812396534079,0.6305058685380108,0.8462576105994404,0.8603534164200607,1.73712185488563,2.182918845294139,2.9246799805414385],[0.37777509440976736,0.5090454250988079,0.554744687417338,0.3301128963524249,0.4152337422691824,0.3145933302549355,0.2594203561554995,0.2825017099167467,0.3164399835601847,0.24830875272942782,0.2527223294786515,0.3634715612423189,0.29600457650974565,0.27270174169298456,0.356726746754815,0.3418664199637812,0.3498271899981177,0.3492239505855407,0.4537722537720535,0.41733708551612037,0.48057973357748635,0.6089513503522822,0.7176452003654541,0.8046632211367271,1.061131373134474,0.6449056904525049,0.4290809256302467,0.36841904717244506,0.3498357442306438,0.33032850915928663,0.37566633264383276,0.34887378669687996,0.4029719238320357,0.35714704796791824,0.3390055368874209,0.35200771489532207,0.36365808345815065,0.39914009233528486,0.4111804083575738,0.4322696401332688,0.5486304361131465,0.48766003929624396,0.49535784125931276,0.751725984909019,1.4216364612817456,1.9953951845497913,2.1152221002274056,1.1210076483079237,1.349828000239305,1.47126222524939,1.1062803391801592,1.7123702453072855,0.9814026496551951,1.0052347494562386,1.143858152989557,0.6963025511785346,0.7333584474122544,0.7310730371258797,0.5848455318662092,1.2168697684650167,0.8320522486474952,0.5751379364443869,0.5442287440736033,0.5871028822148415,0.6298142021745349,0.46991803672193383,0.6682925795928386,0.4318729296150763,0.648058866489127,0.533481312333864,0.7240624763255499,0.9867657066438371,0.6505168748207568,0.7724648934058099,0.47080187543325136,0.9956083663303079,0.42922534217213765,0.40417966248745074,0.39846902788014016,0.4720484044017986,0.4152314288276439,0.49612736116022155,0.9096649686361368,0.4661116477798592,0.5798520882400273,0.384492476464084,0.39922396498453083,0.4351827072129419,0.37234148468573924,0.43269230060529357,0.39550675339589647,0.6959293521174551,0.5510021484927035,0.4134281431119213,0.40449528588291206,0.5259837751739173,0.5929385273066492,0.39120568955829194,0.3580095721192619,0.5058895560784505,0.3756104837363072,0.49303219275451393,0.37207527350032343,0.3804755550974676,0.5479451437892924,0.4457475595076683,0.593230675248034,0.5217994019591967,0.4526465433514332,0.563066831887738,0.3307318149868844,0.33256018349585253,0.289795129780513,0.2961975475770623,0.3064370502189169,0.36959631310563845,0.3800864357717629,0.408390366580827,0.5547303217492237,0.4142583112537598,0.418084885973951,0.38647927316627845,0.37706828125317743,0.30500788579257265,0.27001163812085055,0.3550843181491149,0.43089022022540985,0.40287296557453944,0.38993762494985074,0.4404919921487924,0.6074346468818939,0.5877957391166715,0.5589451957806161,0.4593848913345196,0.5132515695499629,0.6507636856456944,0.662604208901721,0.519790276681742,0.522721345773163,0.5060862806606485,0.4953905800147104,0.5789160200435781,0.4715010806732692,0.4396108068781222,0.42840563159966444,0.4013919613268999,0.3754948648100696,0.36417404414869925,0.274084063818603,0.311762679353075,0.41773027409544095,0.38927127115253557,0.5456675255499684,1.1495732859152068,0.9008117855837899,0.40401185117660243,0.31516753506886697,0.32438790764847497,0.298320797657136,0.31293546939404304,0.354070452961361,0.3730313221220959,0.46177250760828414,0.4356296140886577,0.5352416265725536,0.824271271556866,0.8083962994287809,1.2007302229667802,1.2490048648735705,1.146462926433188,0.8311476519689892,0.4387362788665941,0.4219405307649486,0.40689751983717576,0.34760233215472924,0.3547347225409244,0.38816033090543145,0.4862808943889719,0.3714207992216055,0.4214725564041218,0.7995284171128431,0.3626851822983395,0.4486311948501669,0.5580345592001948,0.5660788527368515,0.5484803853137414,0.5619217770635591,0.7986329266367386,1.214502095332587,0.9983477824013473,1.3098034987340916,0.9437775883122033,1.02356928347605,0.9762884578556618,0.804944380157229,0.9254398492633588,0.872253360925794,0.7618327096091618,0.6911279952102035,0.7716646631562355,0.49936818298445435,0.44015505826615703,0.4498610099346361,0.4182966418871756,0.36894559873958666,0.40694652672575243,0.4843872220281204,0.45886295288423035,0.473412947673733,0.5429096242144016,0.6423350530012976,0.7036261329083391,0.7401540733539391,0.8412136310195846,1.0585166488748716,0.9439678502401929,1.0615058562001403,0.8212737195663485,0.6707098244144123,0.7209415287833891,0.7354845700507561,1.421253752745764,1.030385844133623,1.2881954282392887,0.5457930495105802,0.5039100874789757,0.6067331672616001,0.6458501704103319,0.5666130664493165,0.5122417343209762,0.7083425303742964,0.8222797226202534,0.7948517688119361,0.7545814057574456,1.0219515207009204,0.9348099241867287,0.8563949820263286,1.1920930573786113,0.7333589547243179,0.7267995710355297,0.7235476492269965,0.6476547724341312,0.7805545145250615,0.7513944786467196,0.7879801899682896,0.6861080188132618,0.5476143859782668,0.6660908121834168,0.656151761609129,0.4753304897662456,0.5799050653809855,0.7058831643498298,0.5989846932242202,0.6054262818556908,0.7528169837645442,0.9340466277191289,0.7119388430359063,0.7149067634457659,0.5959195811595664,0.5129078683607916,0.42641908084313396,0.45152631058393194,0.5295318505520719,0.4549762879770197,0.43810529077338894,0.4878678113798947,0.5341387476142736,0.46319650414152197,0.5601109051158898,0.8130656457704171,0.6167856309689772,0.6825174039038108,0.7332829830021828,1.0519557791966132,0.9185484169682979,0.7926704197092173,1.1465455720700117,1.1351183172014483,1.03775000207655,0.8714249703070372,0.6709167934842907,0.6403772019653378,0.8893669956247616,0.6461360831270271,0.709580342625805,0.834523980047746,0.604407830684211,0.5063959835292675,0.5601588642897307,0.41986805448368036,0.37359760432014805,0.5567719123733047,0.5841228356112156,1.1325663271575368,0.7690765352824763,0.4763069569747336,0.6022838580665884,0.8157561797219813,0.5159421416279756,0.7395117296079283,0.7218424068863464,1.815804684298532,2.268841630609713,2.8830651913781864],[0.3797759783431132,0.4660036536235407,0.46512858091182746,0.354268114203387,0.38585311187327137,0.2954510525311426,0.24391413103626464,0.2873555705867766,0.31757502952915295,0.24127018314105889,0.26498482608577867,0.38369982659361074,0.2562651749007209,0.23469973289800172,0.3274317390950338,0.27286145515070664,0.30599935003464723,0.3029163516447536,0.4222385361796028,0.38053669181167193,0.4343637129155307,0.5389833452766898,0.6321319032519434,0.7207958500208453,0.958967794290685,0.5880138152764566,0.3680980237104543,0.28562933795303963,0.2845075977980515,0.28281837608357274,0.3385052078859015,0.3170541970673528,0.3896277381682444,0.3361488518565964,0.3096552994110205,0.3126327480390411,0.2935871731203766,0.3080001984319964,0.3261244516642474,0.34621884862526203,0.49189501811746156,0.4055378690988634,0.40237337874215734,0.6666724916437982,1.3064995899900416,1.9246065435249542,1.9632311199947796,1.0192922022889033,1.3231534856413467,1.3573423829935998,0.998702380284543,1.628903419604417,0.8723341234743259,0.9239782868722252,1.1619656127337703,0.5591188535587117,0.6539892669913966,0.6607192469038679,0.5275953774551637,1.1269964368309893,0.753754292916532,0.5290207960890706,0.4978769457650877,0.5457747099711205,0.563234118729951,0.4245372914510491,0.6568971671742891,0.4246198577569109,0.6676657681586993,0.5367851387254727,0.7712562409937188,0.9944318805502004,0.6851351156457207,0.7862704985864286,0.45533415227817464,1.0241663595322057,0.39572171052033317,0.38053094906944973,0.3409551183544376,0.4209424945553567,0.3685235920417454,0.44272523786855,0.9324955809604026,0.4124207957414572,0.5753783613017012,0.3465769768991846,0.3356656181670019,0.3948494406745112,0.3145603793443496,0.4041501250691524,0.3757596133265435,0.6506754447019049,0.513622482073112,0.37227914648758226,0.3587016298488384,0.4878924734827165,0.5436934212293577,0.3876810373156578,0.3554555484276134,0.5364274673874077,0.3680926659150015,0.5003058952530481,0.35350253658904274,0.37095019302080234,0.4727966623883262,0.4303266196624892,0.5982269887153508,0.44773544543251403,0.4257759571119306,0.5824314031448221,0.3421737585740258,0.30119760529427736,0.26780532449436184,0.26651861683713285,0.2674047167018352,0.2924027127661917,0.31668737635961414,0.32594532564700246,0.46997227405412056,0.4026590990551811,0.38305798732808916,0.357143550491869,0.2995910967530862,0.23309538292475446,0.26731393857893543,0.30956589850641403,0.3752692933851259,0.35385413858811343,0.3406555958526101,0.39627775153476946,0.538918422516084,0.5073863401841211,0.48275394886533934,0.4389562441051458,0.4561181764401638,0.5831224206448605,0.6854201558348277,0.45434804801134543,0.4693650848353355,0.4158309101555472,0.4635534756086156,0.5197778036370909,0.40884600226817597,0.3617319450922074,0.340050059998044,0.33451283800347387,0.30057509003714006,0.3194287578064876,0.24271527789667505,0.2933474704925741,0.42775974246617915,0.40503114544985214,0.5932294255319831,1.224273918115842,0.9242929528048455,0.42350109245250833,0.3155896435127804,0.3271152728004387,0.2839242272618778,0.29819311456131314,0.31380408230684576,0.30036362214291756,0.36467352905386624,0.34295060081734846,0.42758819097623585,0.7088501801013101,0.6948402712527647,1.062315434040169,1.1792582798497295,1.092774387410791,0.7733190235948946,0.39180140139001035,0.40532583724112736,0.3786432230914249,0.3096493327496092,0.3378841931549561,0.3580578864651077,0.5125735215730386,0.33838528111421223,0.41182661699974216,0.7167595519170848,0.33171533115685614,0.3985431115428352,0.5014875117497503,0.5058807394789028,0.48976345186999737,0.4646774979814151,0.7017759983708816,1.179027665113096,0.8954525179507123,1.1575885233963463,0.8681545769994014,0.9075697962749592,0.867414819366459,0.6931939053289533,0.787508815481278,0.784576581511847,0.6612166660227994,0.6092237956626751,0.6870624239642565,0.4377254908052501,0.38900544037168655,0.40272459027074936,0.4074093672356476,0.36701458047405733,0.40636517546384143,0.486278321876488,0.4405678355937915,0.47715545553274347,0.5084266683904896,0.5957293602269798,0.663454238123943,0.7077480948486469,0.7808165393390895,0.9902321103156414,0.8672189462127798,1.0423078306728686,0.7873394166230647,0.657316577584814,0.6912447727030053,0.7050276349927889,1.5240790394149202,1.0125936819727663,1.3966955709146125,0.5563055465673312,0.521098777894755,0.6043596006375125,0.6326794891362287,0.5602119185336576,0.5008445404183052,0.6731884389369858,0.7739419418558059,0.8086610439932029,0.7242000345195793,0.9643047764865854,0.8571990181171159,0.8145546719615404,1.1153278406456764,0.6958377205563867,0.6329910282747183,0.6393261718431233,0.6140861257327881,0.7270468658144387,0.7368286277262485,0.7474556749904196,0.6428098213626496,0.5311177402847893,0.7099318064051217,0.6557512534383513,0.49947600177043555,0.6276974737735256,0.7436529036166759,0.6142214931033985,0.6335045255814945,0.79211582889719,0.9281944083791333,0.7046526878070729,0.7211319055684169,0.6056116811547547,0.5395836008431865,0.4543862233184763,0.46138077203791833,0.5312962453801521,0.4599949123692336,0.43959916566755236,0.4855810292576835,0.5421588234538751,0.46757239985885485,0.5461681111941705,0.8079864255997863,0.6388966235874972,0.6408567662665343,0.6857407325870221,1.010994156476692,0.9015910713961807,0.8137916898681361,1.0509218809010847,1.1050726534142201,1.0413405125865065,0.8261022203477283,0.6648823338975415,0.5757110497920938,0.8299484687205099,0.7090377822194849,0.7756482539350459,0.8901304376169845,0.628317710681936,0.5120772834593127,0.5136635407203735,0.39735421182410025,0.35020565753690414,0.5699599013524269,0.654708916578635,1.2277674291057366,0.7828060200519223,0.5427821763520839,0.7052115284743117,0.8420548522857881,0.5692875753155207,0.8382192288704835,0.8196426511229357,1.9657089240816827,2.440147070556466,3.04814467516066],[0.404154260514139,0.40882036971366753,0.4619823245077143,0.3889369754759007,0.3746075769967817,0.31585648396597826,0.2486388016193288,0.28010326550954767,0.31373646883077955,0.22524388783449437,0.2388300317761409,0.3646996894152597,0.23963934541174833,0.214353195651065,0.30577209704609254,0.26979833252345,0.2793138579385991,0.2901682169950795,0.4188228880583396,0.3737179171281155,0.41818808300848287,0.5136159868535812,0.6126940533308161,0.6943437466692244,0.910605190676346,0.5705057392791401,0.34659943875844373,0.27231568893716573,0.27705157499689553,0.27545985471687484,0.3175182506892901,0.30133649355669395,0.3691374617975528,0.3152704251661439,0.29379691731173396,0.2907280073676496,0.27820741336853555,0.28647224489256395,0.2821445014529346,0.3092644412127288,0.4551328145842821,0.388216422148692,0.3717228817370864,0.6366329087741309,1.224503420980821,1.851141927211001,1.8253782259347604,0.9689139365097338,1.3142404301897515,1.2913956011415837,0.9739320757495824,1.6124892568954412,0.8556998086378422,0.9172676167529411,1.1875647910581835,0.5372037757401618,0.6416353298801738,0.6644662482173194,0.535356928088,1.0902644602285798,0.7286018334500841,0.5166682692761386,0.4720005530224034,0.5345017735890838,0.5387267690974746,0.4030916710837368,0.6535891758825959,0.41271744247115266,0.6506142824615876,0.5219729560726156,0.775109494443605,0.9790809988562033,0.6692579686287028,0.7357416654416377,0.44945319908715103,0.9966125049251562,0.3673774276637412,0.3613899887382258,0.31966856517474446,0.41264260242165274,0.35509109293680324,0.42616278184679873,0.9349566231131975,0.38580226348534274,0.597916583541665,0.33576525789117295,0.3162756850295401,0.37490776388135877,0.2969503874604972,0.4001569697345741,0.34553248109902546,0.6174968920354998,0.4849292118657659,0.35472248158747066,0.34416969191261637,0.4674065274136147,0.5425492122223835,0.3702956493470523,0.342192576427908,0.5259789299469784,0.3707186283681941,0.48768158484029,0.3389744951611415,0.3557264994526179,0.4479581718756078,0.39691942130254304,0.544450811494038,0.3941464448427991,0.37861168685570706,0.5635419648974757,0.28489108963358867,0.26016899407981464,0.2414507398934714,0.21155726742655534,0.24407051625041845,0.24957328130221598,0.3210757630764379,0.26524880752236435,0.41307890088330623,0.38897806855563555,0.3420413203413425,0.332562867531203,0.2672822468001924,0.1883342983550871,0.2190345456538748,0.2485205721527755,0.3379986582115028,0.3000474656673558,0.2748548677432976,0.3475131621159635,0.46583007725061115,0.4292566619475419,0.40377548419915915,0.41581515214021764,0.39876547117854116,0.5050011690298898,0.6261303743468929,0.36211982939234816,0.41376388517803475,0.33322114930948765,0.42702074162539877,0.45824117545724646,0.36773256518014763,0.3034100890890338,0.27100303767104056,0.28885845370300445,0.24168711167213922,0.3003929336208529,0.20607624057178406,0.265436747903731,0.4031343301993048,0.39737581577087266,0.560628118984156,1.189200352549522,0.932579904404313,0.4072096738542359,0.3012893131633362,0.3051757552709231,0.26046428566715746,0.2640210427002633,0.3001628058868351,0.2639062838563131,0.2853339747772984,0.28458277988914227,0.35479050099668374,0.5817898415667133,0.5730883491192644,0.8831281712936397,1.016248624762038,0.9783603769245857,0.6773492500519704,0.3202017720922233,0.35748913798382204,0.32536200951874217,0.269185381774896,0.32950399276608733,0.3442807036768529,0.5259573088904621,0.3163009065413295,0.38072699921926945,0.6499085057954289,0.2780507776808343,0.32348889134021136,0.42606624396442616,0.4443716224442422,0.4247414504018283,0.39021585729375763,0.6494898444159978,1.1651280960384574,0.8106498187544462,1.097677317289783,0.8491109522643003,0.8048433608969287,0.7608867480584938,0.5776664635235631,0.6578885068306513,0.6890350320832312,0.5590373941473538,0.5141040777117986,0.6197286690789606,0.3817743490264095,0.3775973650205221,0.36091303875710645,0.35960563312912514,0.3344548429672458,0.3812006088725087,0.47521195872930305,0.3979947623760658,0.4237662261262058,0.47061695533045256,0.5490808844993982,0.5684740488898848,0.6089305975543408,0.7558910163603318,0.9098764188758105,0.8124894388486393,0.9536883444387799,0.7141754563378377,0.5920059231671072,0.6051522762618146,0.5871408241859987,1.6270727978200707,0.916323122898016,1.4377177326819217,0.5676534308203356,0.5477374543406638,0.6100295524798983,0.6338186238511161,0.5208097426552485,0.47692982818208995,0.628564388021918,0.7064930471500795,0.705102917478279,0.6148561597302746,0.9469829705471916,0.7318335263175826,0.7125445470951812,1.0458599741425072,0.5930621469970275,0.5584576454504977,0.6108281085523238,0.6294778347959898,0.7622920798452991,0.7784609903794072,0.825924557858336,0.6830276279344334,0.5655571851406522,0.7564277532647097,0.6883928379722547,0.4789180635713554,0.5910629388958728,0.6926912535311269,0.5593073657935903,0.5647141835184759,0.7068082627408153,0.8350761825201095,0.6033989520511984,0.6081762579432167,0.510222300932773,0.4679230451213044,0.4123242343232436,0.4153751152539866,0.45664663515999215,0.39966348523527545,0.39535275003507975,0.4216815142342728,0.47974873147921343,0.419946467976508,0.48605974006507,0.7149035809934963,0.5735862383199101,0.5386099086605398,0.5724251564474017,0.8690587002123493,0.7932100294275638,0.7359371623437995,0.983671489257142,1.125416119153574,0.9476114098958864,0.7879181454547962,0.6306254443550828,0.5597807966457758,0.8719581200234109,0.6607602245332178,0.6878206050044515,0.78735236714739,0.5533402564978602,0.4347497495290377,0.4320890336046993,0.3389229810015354,0.30778496063328364,0.4951260815031271,0.6256537048199993,1.2505610353690124,0.7220392588061698,0.5505065645627599,0.7773087684664481,0.9160533135221368,0.5626117026653176,0.8346154744035463,1.0911501706988083,2.56023452347799,3.25560541596647,3.7320357462642613],[0.428881321698431,0.36537519108357186,0.3866314083442036,0.4072184936415939,0.3144135870846479,0.2623174667620267,0.21995126961348005,0.27182889845979813,0.320215900200806,0.29341513950905684,0.3352337549875721,0.45771558408318713,0.2946610202750882,0.3050702674525248,0.3891632704982293,0.3247443085918264,0.3441726587590232,0.34614935352728077,0.4497314526993193,0.4049801661975168,0.43620422252625,0.5079368788095809,0.6424451512930613,0.7223294547992583,0.894306271026248,0.5806966832262781,0.3740702610907028,0.32497915626013435,0.3301119468233873,0.33027665653565513,0.3901089786219349,0.3903022173911198,0.4431534706989864,0.38548264338279636,0.3710870472504064,0.35255481094870095,0.35169364406077486,0.34203687335897986,0.31810220460694394,0.36319862164093913,0.48207082271616003,0.38489528030904996,0.35237544718415664,0.5930638758212294,1.1271682285517135,1.7969105385784663,1.7142325198921398,0.8953568921180807,1.2814005265140826,1.2189639576190157,0.9278667447374248,1.471821876595598,0.7995611994261175,0.8225964166109451,1.2165926530366575,0.5405907585155898,0.7030046900051127,0.6218495560947938,0.5552500900318096,1.074976158705577,0.7091739244553585,0.5284626845414124,0.5049735811871637,0.5805918908741676,0.5311466233439602,0.44475161016182485,0.6675680816374364,0.4530415410246532,0.666859911123348,0.5732366534820156,0.8399579444260659,1.0148284738075264,0.7426936111829346,0.7407906186782641,0.5243366432995036,1.0645243714782502,0.42453116607832114,0.4292711760631773,0.3765257847022024,0.4395462956626511,0.416806967705029,0.4884210445371033,0.961271286816897,0.4152955283219683,0.5896699433411408,0.4026582445601489,0.3774747497234073,0.4313099289911802,0.3429243386750409,0.46245606539196077,0.41625533238484885,0.627936452211347,0.5164692784657929,0.4179908419607548,0.4150389252876008,0.5035352051494344,0.5752306899847215,0.44653114844749375,0.41086843038567916,0.5474134833150034,0.41573527955366546,0.5076968087077319,0.3690508060605145,0.381297779580533,0.4546268552492024,0.4400385398614438,0.6395825687204563,0.40080783110024226,0.42950827352572896,0.6018552818469429,0.3535680076293078,0.29632956641618513,0.24540420946532074,0.2905223524565675,0.31497343417013907,0.3089502875065182,0.4025496171679551,0.30956086948707384,0.40771255231135484,0.42728429560950876,0.36303991617743026,0.3639674045270011,0.31153968753944467,0.2570604428983532,0.28849167909837076,0.28025863496407494,0.3011934041901099,0.3118486954340115,0.29383046671050334,0.35623621646173115,0.4494343240624282,0.43375309324662426,0.393967250450796,0.4528302994158914,0.4059977055078635,0.5028068539784739,0.7030372315444181,0.4181611840965122,0.4764203904201869,0.36074533271822845,0.4536506401257868,0.4561457259930583,0.39489042530199603,0.33982982726369465,0.30553145187369013,0.31775387083912515,0.2842472897228391,0.3336471121464246,0.26080545571615515,0.29659985795804056,0.4198115500098669,0.40453361927760795,0.619100703967875,1.2339251911415037,0.9024586089209626,0.44192481588712906,0.3416656415813622,0.3382677922332141,0.31475473675582843,0.32475382454084334,0.3182505726107302,0.3059671022419996,0.30042611279841724,0.310671867722396,0.42462215747278,0.583456930194298,0.5642812180516297,0.8855959513057763,1.0568666965938038,1.0099272254134182,0.6928821956785142,0.3486450656600225,0.4165939815756991,0.38477362182597763,0.3242343396731195,0.33330916826277857,0.35662768300398423,0.5652904439354944,0.3446083953292874,0.43979100411860705,0.6458668783499125,0.3317627371778428,0.363282231888696,0.4398526923605953,0.45297828398352463,0.44649950530606936,0.4293287635749735,0.625101148695394,1.1675448310657606,0.7942814615098898,1.0129756835996662,0.81239911565745,0.769046654533086,0.7273374763831635,0.5556760468168137,0.6192831592197475,0.6792160330672516,0.518471125957739,0.48754938944196485,0.5811201371052251,0.39295880384443005,0.38171522635175614,0.37171253241440216,0.3957858667154702,0.3835525201186546,0.4159341845054119,0.49805237277899284,0.4327761322498812,0.4696988028577856,0.49363757746317516,0.569376295710425,0.5911047260726465,0.6214504321235895,0.7591439064946849,0.8924638996244424,0.7928637821937452,0.9710390131157117,0.7302261283591474,0.631299961121654,0.6249580438842642,0.6207371258025345,1.6921045746414638,0.9316794324004057,1.510473461574224,0.589168707988646,0.5927414442270243,0.6566740991970221,0.6638366145456834,0.5721151433651281,0.5134714465915226,0.6404621695675207,0.6945627796163266,0.7579525841235456,0.6379694717857487,0.9218816078888926,0.7133503648740592,0.7203934236927773,1.0179459583410808,0.6111398370277616,0.5182717536597262,0.5875932688032812,0.6277482039209026,0.7359696906397015,0.8042122849042218,0.7936422542085597,0.6761299555983671,0.5892068173640226,0.7870879353477799,0.7094241294249566,0.5371340774757832,0.6483284763422371,0.746094047435139,0.6080368113526917,0.6222565386690373,0.7556770764852065,0.8461011168029493,0.630757218845601,0.6468424382051757,0.5628412711049914,0.532162148139586,0.47947258899204515,0.4667175238274308,0.5135385047851243,0.4525835794654666,0.43880963107659754,0.466876863491733,0.5263183384004336,0.46610914418334803,0.5160834741568998,0.7321882766853178,0.6236921485608942,0.5655188130647038,0.6213879643448198,0.9014495141232871,0.8336669208750761,0.7872204592488277,0.9192240903690387,1.096415088015576,0.9753031361112275,0.7849783736043936,0.6650766906982144,0.5694397136014457,0.8322072740716344,0.726860065510451,0.7508130845524736,0.8594470373307515,0.6028381830234377,0.4795198481822634,0.43986038214885353,0.3440783270256643,0.33606918419097703,0.5652669541362139,0.7078341900696264,1.3006813074089891,0.7487657762541786,0.6090865559515602,0.7899482667192252,0.8459186433496941,0.5939909158675201,0.907818623631257,1.0366701868866621,2.4101262576749027,3.004773255954694,3.502026484997495],[0.5979520074316389,0.43312536317083045,0.4545386543805245,0.49966990106076764,0.32433895494944504,0.34967818912234006,0.1993606851631017,0.24868372659772245,0.3184303904153153,0.31854989692204444,0.3905544976359475,0.5034526595314002,0.3363038884729954,0.35392029185129126,0.49137750419129117,0.40525961387571674,0.39579918375417583,0.4284891745278785,0.496918718788678,0.45736191176161495,0.4767395656132282,0.5129080280030884,0.6304760243568195,0.6989299818348269,0.7981804320695954,0.5680314222436916,0.38627004003245363,0.3490442167691892,0.38072660236844297,0.3961915489132732,0.46563030030076513,0.47514938333878803,0.5380192491453004,0.4824962942031212,0.455247977178318,0.4195614588105077,0.4162651144556099,0.37636980877732945,0.3376677852849113,0.3762264994564559,0.49232243659206626,0.4401714557123895,0.405800185828186,0.5824637603525978,1.013606348502988,1.6600403419802676,1.5006298211911515,0.8282035440212716,1.2812258251818995,1.1164185678718694,0.9125882807690301,1.4098742121911518,0.7621470261070159,0.7889990616758895,1.2836345106773754,0.5683532437474794,0.7504317502106524,0.6361344815465277,0.6285656205697765,1.0521946099300183,0.7163921339827162,0.6121934149015386,0.5912206231925167,0.6870331039058906,0.5704515270470808,0.5116737368543431,0.6913758184398469,0.5417324037272808,0.7019959274784004,0.6422110155166625,0.9149800616242186,1.08771742879465,0.8175491729935911,0.7848374729799646,0.6010043187289907,1.1213610716881337,0.5149898113424521,0.5099229006297215,0.4786857070232467,0.49271223802460073,0.4979787991912079,0.5215295854725578,1.0029002071644881,0.4685281983749967,0.6198571885251638,0.4546165727656832,0.41778855774092005,0.5127820422073985,0.42057488929032955,0.5328564222778703,0.4950507386472024,0.6442879868926783,0.5552742344766841,0.5119154315440955,0.5026596724114221,0.5843505554439731,0.6221811069743864,0.5307447616208595,0.4862746420197887,0.615022542143063,0.47884453514731845,0.5252515521752741,0.38745050273999626,0.4064256862906166,0.4431371144004755,0.4310614264536819,0.6396757615395462,0.36578067030441647,0.4211123785547622,0.5833326087130702,0.3356459933378171,0.2733371445386775,0.22893021964545832,0.28805890482595187,0.3499872003466803,0.317444905655266,0.4227848751280094,0.3079957622523951,0.444753912081838,0.4557404160496031,0.3996183817796473,0.3780654565557693,0.308407174816039,0.269090197600731,0.2619082254487129,0.2575875027530406,0.33191859058494216,0.3167475203344127,0.27383716529774765,0.353418412680191,0.4236027767225368,0.4081052866242435,0.36658193385349175,0.4672220279659376,0.4132213742409101,0.4634300599486327,0.6988247076833697,0.37119118383455935,0.45934543204912687,0.3134737759437766,0.4186151647770578,0.41235560363179014,0.40843069211821137,0.3183878300155761,0.3022444458624814,0.34623457156670406,0.28620993118012766,0.35708371448005305,0.2788960090516553,0.29800453586545667,0.41525497382544824,0.4246328591492063,0.6732122330886057,1.3116160421384855,0.9767845507328934,0.47867799898172325,0.3831560475658667,0.3683640904402416,0.35575838227116396,0.32921255418857864,0.330092545480869,0.3293376010799416,0.2797823182396849,0.30341609399638053,0.42444131795791645,0.4872765920377791,0.4809839126413722,0.7351218275777699,0.9530750342181643,0.9356725662688729,0.6494356361473795,0.31021366852773413,0.3926747203296707,0.380625652360074,0.3319796172574814,0.38046545722270164,0.3917967218039151,0.6327167736843856,0.36858581507552357,0.49299194284841696,0.5802594224309616,0.33396528447764845,0.34583890603018524,0.38928154671146914,0.40977009023958616,0.4122157357206913,0.39669777007226553,0.6289203698114493,1.1424413653047367,0.7172803877174078,0.9437078156709257,0.8099987670114926,0.7084102274014689,0.6741971330455088,0.5112130590189685,0.5327796834428818,0.6532623985247411,0.4604516808806289,0.45102292396909804,0.5340304850046463,0.4147704762828937,0.4298083141575895,0.3888434275688251,0.4429968933934032,0.4710515933514448,0.4957885032936244,0.5655350668284874,0.5264840546613536,0.5575910042562492,0.5824330260582719,0.6432449105942087,0.6540986869881674,0.6697904736104795,0.8488774650396831,0.918190163845867,0.8134601222614487,1.038443858381048,0.7831909640327692,0.6926177285545354,0.684042116961317,0.6509498161205916,1.8585977086614387,0.9585087444455337,1.6393360454166046,0.6869774546110046,0.6674031184100025,0.7156673869723179,0.7160244669742148,0.6021533974150132,0.5604981620632881,0.6661698082129945,0.7065733385399783,0.7574707189134964,0.6203379894254887,0.9596884133851714,0.6513849574251905,0.6861143536781369,0.9554315416126152,0.5773579701780889,0.4988479218627327,0.6096823361254916,0.7064857330248099,0.8023749914133184,0.8702641977759097,0.8611541864516045,0.7305588812571822,0.6572611839985921,0.8537632537458026,0.7450550186435331,0.6044519379778184,0.7042764103027456,0.7724625361794499,0.650578855463392,0.6735520614317354,0.8103282764685672,0.8491824807326892,0.6661589317090917,0.6904625375087332,0.6427147697588775,0.617806911256495,0.5804884677402318,0.5677079831503279,0.5885114987328127,0.5430061741870713,0.531894793383517,0.5337568695792506,0.5910939828163136,0.5279155682296091,0.5504832102995348,0.7310981975463042,0.6773851076749989,0.565564980692463,0.6451485383823783,0.8363508390427052,0.80695650510199,0.77315422932611,0.8613738628734778,1.0707807053963454,0.9757646881681817,0.800354262391958,0.7102761956903976,0.6335693290854968,0.840299725414529,0.7312214584110627,0.7315325566484765,0.8275630157980202,0.6006183246773669,0.4862448756777376,0.4193750754171358,0.341919152939964,0.3784474998880704,0.5433111018354551,0.7959548866008784,1.3613062909780143,0.7951056017594021,0.7524470793448725,1.005382015286215,0.9667758070343407,0.6873162121380774,1.109931407169737,1.5717306990122766,3.1815297020148594,4.114108069118062,4.762191185060685],[0.6259251810059273,0.4454172154096419,0.5186230740405224,0.468660769446622,0.34716624847143884,0.40500800201522535,0.25056481279111,0.3437627210605421,0.32212716134595554,0.31603297482784054,0.3697839920895704,0.4674288541819317,0.3410543406559616,0.3474713414237412,0.5126746911716864,0.40077122716236446,0.3960856802676315,0.4537605678641609,0.49726559186269503,0.4845397975748863,0.4975438286889688,0.5409477102134957,0.6269964156759606,0.7205734575069296,0.7791886943036799,0.551626010050307,0.4052944008888306,0.38160111584971185,0.42612548318596244,0.41593797772504737,0.45561098235918346,0.4428531053854457,0.4988410010898229,0.46022265207285584,0.4414966481195956,0.4263106212160138,0.4067742942633722,0.39993091770767536,0.36982372155791005,0.4069801810558232,0.5335710081845951,0.4549244612819168,0.4115087580196835,0.6175502123085114,1.0500301527922935,1.7379151973872984,1.5388246651970126,0.857351867861283,1.3483861338455896,1.1589267164412813,0.8925793114150611,1.412510065639242,0.8197081587615209,0.7853959436737371,1.29169941505515,0.6071312662742182,0.787969693255668,0.6613361280862132,0.6974078246333516,1.0054362012794054,0.725961464279016,0.6043049996863932,0.591844459591192,0.6584789080463489,0.5455474192540491,0.4907831475774637,0.693073547202671,0.5290309935115927,0.6996949895730833,0.6496306015362764,0.9255337037102859,1.088964775871289,0.8283640485350914,0.7588487404362154,0.5852581786932763,1.0887769429011505,0.49588148962231754,0.503805863952097,0.4549664308308067,0.5054865235540746,0.5052893462246306,0.5231682827688457,0.9588762967914914,0.5150098888204022,0.5996427639942158,0.48191877017154366,0.4338433991110209,0.5035671197911336,0.41898087405618906,0.5304101601177128,0.4846535480179237,0.6054366434244041,0.5395292688648687,0.4874926385653314,0.47448107376183957,0.5650508014602399,0.6093740157896352,0.4981898508787096,0.48074281687363934,0.6200791440640504,0.4895061917108538,0.5876868891221105,0.4130293349534872,0.4681802317805361,0.49241234751028823,0.5058027141637244,0.7522135442367693,0.4834146394728929,0.5516144812390334,0.6450867046559153,0.4687694478676046,0.3637079453706731,0.2990806473961628,0.311809994117909,0.34832330579338516,0.33895798624425677,0.4486505265206785,0.3346716475996138,0.4085967856300594,0.4734238514132596,0.38415763814221526,0.3717875536200451,0.32869939454582664,0.31118019204321645,0.2871333048236699,0.29229509442979357,0.3930913466638571,0.3979531112516176,0.3929197272940778,0.43431997535827777,0.4922563081686147,0.49375546041996043,0.4414392843142173,0.5540747806632323,0.45300103616615395,0.47784528609306287,0.7383450784614611,0.44923934260014675,0.5432649254925597,0.380655673535055,0.4683482991984809,0.4596125751850923,0.4133852067403681,0.34684924481895796,0.31668582555261393,0.35320709129004296,0.3090296057168573,0.36522449302024645,0.3185447927113571,0.35825063821987135,0.47466111398172434,0.4627776920550558,0.7374979931706922,1.2425991335682496,0.8673596610512362,0.5079067770228224,0.42601768448027016,0.4369376128648996,0.3959047647493462,0.3838296438187991,0.32782159002220546,0.3236107832565449,0.3121954076176989,0.3271510706844213,0.47095520063408297,0.5317265446453753,0.5201451944062476,0.7756426514123829,1.0023145346759441,0.971344283691654,0.7008864673101175,0.3849775988326772,0.4280207178688968,0.39983230940182685,0.3475666602777831,0.3925573828531123,0.40986157033266823,0.6499328751301972,0.3756852321937196,0.5292759747904655,0.5986949992374754,0.37295625434652774,0.40048399995484685,0.45192340030354256,0.4690457147834393,0.4605963410657742,0.4020768124397918,0.662590378640181,1.1465563372806364,0.8026259015729454,0.8976441981453906,0.6895622953537358,0.6788830855024816,0.6642647108881082,0.5385544262196401,0.6098725538577082,0.7292682928994768,0.5613717818539454,0.5583879938835671,0.5582840836957448,0.519438970693928,0.5207446176886985,0.488162846911236,0.5675417569453255,0.5909873779489627,0.5977688948655397,0.676628855090646,0.6536039596699362,0.6643940429344073,0.6967907255878291,0.7596160619455748,0.7601892606740316,0.7635987808389437,0.9459367200144855,0.9793396316976205,0.8936987662534315,1.1108440205497423,0.8841957722907073,0.7996804659866852,0.7831489155016407,0.7495828878362973,1.928043335917878,1.039355415997844,1.7231537058373645,0.7719016447452287,0.7576905667151714,0.7871981242346606,0.7881737713377798,0.7157777821135527,0.6891496766210444,0.7771940509448151,0.80693975994716,0.8867847883204907,0.7448505340883015,1.0126140104656913,0.7265716045556239,0.7455797102647557,0.9326929803376766,0.6512585941481432,0.5620467250088296,0.6917219005421531,0.792913690618182,0.8422212806252093,0.9166559119244289,0.8645117075085482,0.7795242231273776,0.7297687184641454,0.8974466157002602,0.7922679711864101,0.6877316217225523,0.7791332883801866,0.8375360983495598,0.7371706014215622,0.7628741882474405,0.8806778812963129,0.9052286995514665,0.750242536684784,0.7736753449897841,0.7387160018668629,0.7148442110310944,0.677328845817073,0.658526545053214,0.6950655320118689,0.6552872839867758,0.6373475897332884,0.6491953732037453,0.6981619968090748,0.6517911752193541,0.6715758113132099,0.8148573965073458,0.7884672106412968,0.6839971130931799,0.7547226201183496,0.9121603626298588,0.9006269988192495,0.8772523121302737,0.9052880052803032,1.1184374603906386,1.0415407824811205,0.8772136010786662,0.8196064217170107,0.7485446173063992,0.9054568483256672,0.8409361257552646,0.8330430639571148,0.8999354149301856,0.6983983085866713,0.5876880919257592,0.523967769178435,0.4388666871381302,0.5051663962175019,0.606044435782456,0.8553428933639036,1.3538684954580973,0.8482384359554225,0.8548677166709783,1.0430222904226496,0.9843497793483794,0.7574811882430902,1.2056146834412202,1.5533599464694434,3.0422541465626867,3.8239391234617175,4.389716878645837],[0.6159211097434542,0.42203087689693636,0.5449900002238576,0.5102117083406205,0.39954262730847606,0.4498024509678599,0.3208557080240278,0.34320907130842887,0.32732620712191085,0.349251902567872,0.4085766499540289,0.5184548463396728,0.3912189950212786,0.39237994891265243,0.618044024720812,0.48980832312494343,0.47216287191567446,0.5502600677604383,0.6029135126229809,0.5736089577807179,0.5905356344897416,0.6016042060969921,0.6856118013458905,0.8162946201253036,0.8216904076476443,0.6493123073895732,0.47959205445356035,0.45904932681800825,0.5078723770303041,0.49660130579505357,0.5543683719024509,0.5299813717519851,0.6097441325091254,0.5656558870451075,0.5358779171357567,0.5137271015324719,0.4936658345409034,0.47256245753670145,0.4314724062632293,0.4838464120527617,0.5477815029324393,0.5085870750705496,0.47642419446583395,0.6372256610486824,0.9618674760141576,1.6193566863703612,1.4054322728539985,0.8573731366192191,1.318531534398775,1.138261314352937,0.9504499580093676,1.3859321194234762,0.8314438464301295,0.8100790020549732,1.3918969103027132,0.6769728003212566,0.8404124294513527,0.7201508930998588,0.7785891818678923,1.0420054030271195,0.7787805722416121,0.6959139798998649,0.6863115523039669,0.7915735347097758,0.6315098549630842,0.608190485820863,0.7777966842421907,0.6325807408759013,0.7885313076778486,0.7454513954710478,1.0194021743034705,1.190888037511845,0.9384521202847353,0.8776116916719315,0.6987573427317626,1.236161844222379,0.6103897462622314,0.6133528210032799,0.5606246545930225,0.596229444062365,0.5874119131771302,0.5834830435638869,0.9944910472695406,0.6000354587858158,0.6319224277351053,0.5424989590677612,0.5032956464631031,0.5841353475935273,0.5177524894462687,0.6145344119482318,0.5889648942215108,0.7209859022479129,0.6537782575635906,0.6049113428168698,0.5713940641095419,0.6767524235165044,0.6726920018284754,0.5941033892907964,0.5785636982413115,0.7471534231737164,0.5825941769549619,0.6400028047419402,0.47086485016533414,0.5075924644539815,0.5513792413003387,0.5334246082553111,0.7743786112685329,0.4715999779621084,0.5480546064900468,0.650348238162248,0.460241317101151,0.3763924459567387,0.3194090162205624,0.35274283231383113,0.4112434103756104,0.41624712427130317,0.49011008309282356,0.3948577737648406,0.4738671236382606,0.536398494535929,0.44790790439767036,0.43671075752626637,0.41659342945870026,0.41012888639587,0.37072802027331403,0.36738679540434943,0.4527164961558671,0.42589377808472506,0.4138990615075875,0.45936094251461324,0.5084444952297763,0.5041914737937045,0.4518804305184902,0.5945772799553299,0.4780705755831928,0.507254033860419,0.7507462863870967,0.45755255411065937,0.5633110494296871,0.4058809830844254,0.4949449698691666,0.49300961753714356,0.446302573956707,0.3834702754287509,0.3804454127804195,0.41497592589267945,0.36693821898060397,0.42042088467818467,0.35990267065879245,0.39248309616831967,0.48180263705164594,0.4977546496649998,0.8343138416511087,1.3927692237886828,0.9353254245198125,0.5883767142106436,0.4992962915946023,0.4833999877471766,0.45136491446521443,0.42849100548596797,0.36949112738050927,0.3791035872236954,0.3585172750739964,0.3545107576277885,0.4991394752041571,0.5422402919131604,0.5267095445259541,0.7698017952189964,1.0039184231512965,0.989749010813908,0.7161310335424064,0.3987560174825543,0.44710566063394797,0.4368151786969594,0.390610554891929,0.44564898605707814,0.4686400092197011,0.7335132374092266,0.4256780440825898,0.5669510282689657,0.6242586338802405,0.41730948505755355,0.42383277271476455,0.46083551093700764,0.47896830059601025,0.5128726037336062,0.4607284057127625,0.6934930233790143,1.1585353075796316,0.7697611339488506,0.873417505825116,0.7194118282461737,0.65465320487843,0.6398501742068182,0.543329129656485,0.6161093084346532,0.7441937428906001,0.5592725586135331,0.553857174352897,0.5472326862027127,0.5167056975166212,0.5126434316259649,0.4810982017234036,0.591252641048229,0.6159011919475443,0.6149419814396547,0.7070793226233509,0.7055275860444762,0.7189241334281196,0.7508789255680184,0.8392003564767073,0.8585249971457195,0.8554282533737684,1.0381083135798301,1.0695658232724206,0.9925770686183919,1.201517281971118,0.9842648527392595,0.8771138099237846,0.8552492878417617,0.8206091396478137,2.0064040732938095,1.095259040462121,1.7940021883373636,0.8159746402934831,0.8244457962050595,0.8297655256774286,0.8613064570337474,0.7518960237893234,0.7168891783228764,0.7703902904555591,0.7866664142506394,0.8897244560533268,0.7338157260667805,1.0243634549669856,0.725027101696161,0.7614939406783725,0.9250264065949411,0.6574848987578883,0.5602126069718961,0.66113191290048,0.785074847162979,0.8396760335024888,0.9633900970932081,0.8953554931926953,0.7936816629132722,0.7832782617132473,0.988607052578092,0.8332022892749176,0.7356756027390978,0.8555180916550925,0.9060864466752071,0.7868316808835476,0.8374414057255765,0.9614484915994939,0.9277505850253643,0.8235381808520353,0.8447696225190314,0.8165295238289126,0.7797158919309418,0.7347955071868061,0.7235501744718915,0.7665940138260906,0.713072641894573,0.6785084921458676,0.7036833187810293,0.7506670223023578,0.6853550811910085,0.718875909471408,0.8441252008124986,0.8246020965435538,0.7130993181324625,0.7723006612426968,0.9681690463994211,0.9526537105740904,0.9615092658329726,0.9829978530287258,1.1995238001665118,1.1743608479991698,0.9877191272568495,0.9109168744623981,0.8447788740072496,0.9965108810025731,0.9303171298334565,0.9187426432908804,0.9482494457136317,0.743064716318974,0.6062290133550051,0.5290891219149028,0.4526249832380323,0.5067207393030381,0.6397590369910371,0.9360140166478037,1.4004397686109777,0.7971851804301099,0.9252303660196326,1.1408795652147579,0.8470790227397897,0.7621153667274578,1.4449070356612579,1.8183368207360242,3.2695719144633166,4.268168209638814,5.140709579456736],[0.581334723227987,0.4124684906852819,0.5838112712365555,0.423675144393702,0.3634625404504305,0.4058317734433597,0.2944592793027368,0.38644641942509494,0.3621624366677482,0.36158372773272457,0.431558097057439,0.5653719676526678,0.4076952211299749,0.40721425448658366,0.6265858603304574,0.5093384907480711,0.48061906008243016,0.534959461100338,0.5751454087687022,0.5430639444209735,0.5509167079674601,0.5662647763565136,0.6712236381915542,0.8091501380928666,0.7791042159214119,0.6098893931360683,0.4357743215826429,0.4385164525668399,0.49595182412540856,0.49379697431297104,0.566669733164039,0.5835912344982186,0.6525897622212434,0.6183368184731842,0.5536820372351963,0.5167835135909362,0.5229562762179215,0.46871352365880586,0.4085703252268483,0.47963443086008606,0.5233166472766607,0.47518300114566064,0.4409422569270909,0.6353792409218303,0.9021134539992071,1.6085518255276954,1.3636567665211603,0.8489177190545916,1.3011208284131706,1.0903073993337387,0.9184309604924971,1.2370820460710263,0.7990735696959178,0.7045919295597797,1.3879342556975143,0.7252673811601212,0.9096965955597798,0.689100534331093,0.7878210540187072,1.0611765741018035,0.7913257815191671,0.7200694198905823,0.6831882004998338,0.7617340900277455,0.5895731499980645,0.5817833911873386,0.7414535396851527,0.6116173998326491,0.7696268041768815,0.7407706203144905,0.9969579177444008,1.1718675451141718,0.9400171286100384,0.856084991113968,0.6838864694975092,1.2032073473773157,0.5954754939724349,0.6299304306712005,0.5759590875219024,0.5986502313318567,0.6246084835843628,0.607863182553958,0.9960627073690462,0.6138615509209805,0.597058681059057,0.5487978202566621,0.503097476060695,0.6015811817424045,0.5114424211737,0.6367427658522342,0.615649001973777,0.742401750631978,0.6970439045023737,0.6688937013971411,0.6108051898012574,0.7262475574727211,0.715062474970037,0.6396856466420913,0.6326247476498245,0.807161570936607,0.6291795018046645,0.6912956052027026,0.508254736968077,0.5636105765374775,0.606377986115803,0.5681602543027663,0.8504311552811745,0.5417099034810742,0.6033586698830012,0.6508461853431811,0.5001223659085414,0.3918317518819641,0.324447528789924,0.33337118738307986,0.38851247859453963,0.38032099738703995,0.484161402359803,0.3632445061294208,0.44864108194913915,0.5409751265688053,0.4469255754419702,0.4227613564298606,0.3562287752464797,0.3703682350447228,0.33034288134839535,0.3063066307065045,0.47467318373195094,0.40953054971155917,0.4391057459443022,0.46870887768719266,0.49769975692375956,0.5492210989901696,0.4711679282121356,0.6321527186496297,0.4924693551891392,0.5088999550756269,0.7719915100685987,0.4627032085111647,0.5098913297925313,0.3661109887269534,0.48362761167177126,0.4416337043037237,0.4344094265464197,0.36795117093473134,0.34569685103152636,0.4041290620637562,0.3485544752082608,0.42639462354636165,0.36162958431944986,0.4077899104474514,0.5063876923552422,0.5211339319350251,0.8789793531250177,1.2443987803736178,0.8573109274655063,0.6581074730679258,0.550572753036882,0.5465694597341757,0.485875989797392,0.4740258177497887,0.39612891742728834,0.3954710856600179,0.3328179744228668,0.3738289752188859,0.5250109462613977,0.5140276840833051,0.4947460484275795,0.7446554065228052,1.0008854484589373,0.9520064527438001,0.6914802713278521,0.396777569494768,0.4739743219976816,0.4722178648380312,0.42034950814105726,0.4615966360997986,0.4854957912878313,0.7580090625478466,0.4322781111170254,0.6303118476712715,0.6244524817912542,0.45959836938543425,0.4670200749551672,0.4808712251290393,0.48490672474129803,0.4939074497589288,0.4628427822877492,0.6661530131610395,1.1494942919429838,0.7470291306196243,0.7860115086145979,0.7006818084010933,0.6503046685168493,0.6370746374075726,0.541243303355238,0.5968529378943732,0.7088950843501254,0.5674815633983077,0.5735670245633098,0.5613290771600017,0.5830324691174887,0.5694232597555855,0.5235809237062958,0.6508440909820148,0.7088559356667791,0.6900674826396991,0.7581048669549455,0.7869714231347074,0.7971160338694008,0.8277819295654611,0.9211429316723879,0.9523147838835626,0.9453921037391846,1.1280807437715263,1.1289181471591476,1.068742053084884,1.2717923231115527,1.0509405047970928,0.9484927823008446,0.9324019040156268,0.9020003377370651,2.0934280423957294,1.1588487273179306,1.8561303673836385,0.8906755618556386,0.9011040938799417,0.8979416366712378,0.9311958737144546,0.8311032027424087,0.7864900759593039,0.823934071173385,0.8306875811007487,0.9433590548022032,0.7821172598247885,1.0359253784290954,0.7571848397854013,0.790965387763488,0.9017369156503046,0.7162237109622707,0.5884153979250171,0.69514481076933,0.8172169475538892,0.8709185026623719,1.0157579642955195,0.9392765604936956,0.8470905565615332,0.8598910078372646,1.0600300432228134,0.8784477379398551,0.8079329990411432,0.9222323854096798,0.965897019412684,0.8591191737913972,0.8985797413544698,0.9904087588800283,0.951598679141292,0.8924780490521176,0.9049923253453424,0.8925670243663073,0.8526822125640089,0.8128349649804698,0.8057982906913673,0.8531421276167181,0.7956421857931314,0.7647208374786206,0.7889805370916114,0.8241356156558652,0.7501167113210135,0.7957653781951604,0.8793809247199511,0.8699407648916156,0.7617219461784656,0.8242389578287942,1.0031643305863636,0.9831646338309329,0.9930558360700601,0.9988413331827797,1.1851207323343578,1.2353835114788692,1.0315552162652923,0.9595493721722205,0.9089595941904035,1.0192636165490099,0.9578352722901522,0.9418222510669375,0.9333230894876965,0.7671663838540189,0.6268614676760706,0.5423000076948771,0.4538391592557014,0.5189112790077315,0.7117891293420844,1.0185457657363908,1.415424295895455,0.7367327393339713,0.9994350813599362,1.1186206849112168,0.7070120488227062,0.7108738378842199,1.5738614045228512,1.8059963315500838,3.0546209604340526,3.917379339591696,4.64525782416833],[0.6841094800997523,0.46763993502091206,0.6320845575405324,0.4661149104922485,0.437403349896772,0.467481170555533,0.3483437601635796,0.4599811370929003,0.3562294142986462,0.34331895550316177,0.43252852046520485,0.5857177471094073,0.45493939989841015,0.41405761501901445,0.7471600957276217,0.6182606891509534,0.5232578143401788,0.6142957797972545,0.634638040145496,0.6210820655925441,0.6424124033462051,0.6592738607614194,0.6940161386681188,0.844458404318768,0.7352144550117796,0.6282329950957352,0.502534904303757,0.4942071248899735,0.5812692126927904,0.5994138627427112,0.690136945083681,0.7240163375708624,0.7888788007550964,0.7749829094199893,0.7060549837038993,0.6421748858722826,0.6706135327686222,0.5948522726808196,0.5183842351478881,0.6141357098830099,0.5829644971139112,0.5577131610648116,0.5759091339582304,0.6584302245577733,0.816761650320597,1.4671791259725444,1.19005765809641,0.831047048832019,1.2825825622423308,1.0516840470477833,1.005803210232839,1.3013780488431281,0.9026660435129255,0.8043042597879919,1.5638316633100215,0.887238719706567,0.9995290659379108,0.8269361196288618,0.9462289095213215,1.0966202876360063,0.8590652952748616,0.8367047175952655,0.8358194322962329,0.943393339376765,0.6886326549083847,0.6967632653126719,0.8554092979934954,0.7235461318249221,0.8386263448336364,0.8189112267568204,1.0489071705046296,1.268834229465806,1.0397452001304308,0.9517383662954442,0.8003872007149739,1.3465170420600094,0.7394243070873366,0.7929113117041738,0.7402514505125581,0.7321215458025037,0.7666184870079759,0.7579148814460801,1.1318657298101293,0.8243383493404693,0.7062525941203269,0.6776767740050692,0.6423843572104512,0.7219800205259137,0.6476318674647552,0.8148900073273214,0.7680159805512746,0.8881977854809509,0.8629467273497907,0.8328661526465049,0.7469022401152289,0.8845056461240074,0.8220963067288699,0.7725246071280958,0.7729979493723517,0.9575609204949986,0.7765895963168394,0.827238761799567,0.6676802890412106,0.7197226287312917,0.8376352573772777,0.7157056763611859,0.9969209429148737,0.6860116152113541,0.7206850888232305,0.7743271829541913,0.62372523105946,0.49654238317507193,0.41290556465333683,0.4070360455774911,0.42602626342052036,0.3999350591755957,0.46722192964613507,0.3674666165668846,0.48377271891329227,0.5531252231483417,0.4601666982636919,0.4125282994821079,0.3707953399138824,0.3796304510868459,0.3371216513422905,0.35125190852004523,0.5631763594468824,0.4886945316599589,0.5361882942038828,0.5952244040013942,0.5894559669397128,0.6759982272001129,0.5852860138679074,0.7596260071341644,0.581856869488941,0.5594699027851935,0.8066324450121597,0.4930204835283771,0.5561108626580795,0.40114417673351915,0.46573539743490505,0.4468771312072422,0.4609539930430058,0.3830102452680255,0.40373041412718635,0.4652788858799146,0.40483585884195955,0.4900791207791375,0.46510409551583287,0.49120136083587557,0.6025401109258741,0.627703798032919,0.9974751813819323,1.3300524386638963,0.9029101152631732,0.7841626369466588,0.6754720272997836,0.6717972906154805,0.6197309453265138,0.6004914198897083,0.5031429555837663,0.48659902450920717,0.39912485118208724,0.47119920229106266,0.6639656255901212,0.5397485108726728,0.5319243131746854,0.6969709005220837,0.9558421007788269,0.9287745047856178,0.7072804967496255,0.4438147146535336,0.5548524038528403,0.5670649582360572,0.542120984234719,0.6516126169007503,0.6265203547434937,0.9459647475289596,0.6257951893451429,0.7965638680200626,0.6643814891150589,0.6149089641640573,0.6141804465358576,0.6092257991144768,0.5999962819752779,0.5744957631864462,0.548392833197035,0.7420939892309081,1.1403727517077054,0.740295871007727,0.7885125720308059,0.7719317425077425,0.7048309257309352,0.6886556772159471,0.6236405729642577,0.6777236614692438,0.7653152728169974,0.6600593342187081,0.6646835819198295,0.665523697253674,0.7128821847036539,0.7287559181129566,0.6571925555789522,0.7364600825583049,0.8346872678314226,0.8017406422360677,0.8157259204263075,0.877081147783839,0.9264154238906904,0.9118091014394277,1.001521552671901,1.0778751900972523,1.0611916941652957,1.2021426634476475,1.2243801349478758,1.1489099175189035,1.377635975442608,1.124523416149381,1.031170715848692,1.0493550473561504,1.0256270151810718,2.2506890184578636,1.2478824062585478,1.9497513449811537,1.0330161464073615,1.0840459795622996,1.0659523296792788,1.1127553948756415,0.9907696168518957,0.9168616990982752,0.9407043222442095,0.9317305392573821,1.00115434075113,0.860852338705698,1.1430733820188088,0.7919226208537399,0.8236142758690064,0.9365270022993164,0.7922258256517992,0.7277474701670554,0.8213064208879074,0.9528049412015135,1.0249914160150808,1.2114903967559283,1.1434844275379057,0.9906910950128245,1.0574545124913843,1.2631490979454219,1.0517387373922022,0.9685865166767497,1.0914885571584056,1.1062905189591539,1.0038709297699175,1.071703427912515,1.163100825027689,1.0870049102541035,1.0688005518602552,1.0961594613963457,1.0575421914410024,1.0315606826560841,0.9817307469444493,0.9783153246237812,1.0148796826064277,0.9222117202810322,0.8954852686740022,0.9173359522472333,0.9312207283516063,0.8429395194151468,0.9078914394169302,0.9511048209968961,0.9330985998884714,0.8240437806418338,0.8970492331459506,1.0535623830429173,1.0320509945429506,1.031594503023842,1.051705733813022,1.2211060034515249,1.2835905444853861,1.0845246536847946,1.0007187613927448,0.9578415861289432,1.0537708984429064,0.9857727321113312,0.9684695420044602,0.952129204210789,0.8137167711949801,0.6808131282567965,0.6407104291927497,0.5460856463160962,0.6357337911916721,0.8175823936225666,1.1317227780772288,1.4885077858254534,0.7827120816983791,1.067566398862495,1.2386305995892024,0.7246988850289007,0.7130704379084344,1.589156318673697,1.9551343572257247,3.2038970479126982,4.572733117174452,6.0225480438902155],[0.6345991956095622,0.42363570071161455,0.5426114426227042,0.49110859203852164,0.3703343596743599,0.4475407114519734,0.3157418692866696,0.393529828212661,0.36047712024885475,0.4162559936157903,0.5122971610975398,0.6215740933784357,0.5151482292860211,0.5002378090354591,0.7739097877041545,0.6335569719163252,0.5999315578117702,0.7057611385503771,0.734349535892343,0.7141274465455666,0.7431654181882112,0.7456425104304278,0.7720904308951476,0.9320859971695804,0.8305802848403648,0.7381851641292083,0.6146393278119416,0.587809088370597,0.6616900090702837,0.6560455720671611,0.7285666300138673,0.6750947030277101,0.7732905082141219,0.7533261986342707,0.698519509814102,0.6857150409659183,0.6544881294135183,0.6417886577596681,0.5682389439569273,0.6131015562899474,0.6243975652823277,0.6472007301764116,0.6369447055616233,0.7429035060647818,0.9274043539851542,1.5140291263218657,1.2628593509784947,0.9032600273196207,1.3520331147523093,1.093759666848495,1.0465925345726848,1.375778571455498,0.871742621391354,0.8568909374392378,1.5336137041138298,0.8528019785427841,0.9929835591194003,0.8427118455702307,0.9230143669050328,1.1262842708186063,0.8932313287024171,0.8752461032812243,0.8566817199582485,0.9760570198466099,0.7882242608346408,0.7823398947057474,0.9329007198209345,0.7962351207649334,0.9415060651926184,0.8966356385783903,1.1256002100060933,1.3489534999814865,1.103417644568341,1.027632947939304,0.8327812949654165,1.378590552856261,0.7794874809355806,0.8054528704588951,0.749257708839349,0.7771530738927029,0.750863620718477,0.7121016322110222,1.077803747153901,0.7884071542623642,0.7195948761665655,0.6736104354149838,0.6506393196789562,0.7200207125578313,0.6932752372689177,0.7995592160015061,0.7826511549603973,0.8869509531489639,0.8375266103486136,0.7888574537393059,0.7372451130996461,0.853488888355665,0.8179590624346498,0.7454887828322994,0.7126784319872932,0.8789844280402137,0.7167032274641669,0.7353305339869438,0.5938739197316921,0.6265546992988695,0.6953995919370533,0.6119651198384745,0.8412147744384614,0.5521567283746501,0.5964714655779081,0.696803582110146,0.5157950876005818,0.4143252471278659,0.36659366896446616,0.3991898835602311,0.475207717346342,0.4518735999358166,0.5208104095649599,0.4646591939968785,0.5707714495736372,0.6475720365706339,0.5428489094935989,0.5142010735782414,0.4477235677843697,0.4861839570689737,0.3998921788423573,0.3677699475197125,0.45850273931325414,0.45225579007755334,0.4401269121304225,0.5330195532728876,0.5301225642799011,0.5675620086735045,0.5007061483791934,0.6636315827126599,0.5349614106814871,0.5227249648525364,0.7524851686219259,0.4619577195980767,0.5977123237222893,0.46183784664653793,0.540806932120493,0.5137772174331129,0.5086165083575352,0.4494196300410089,0.4863433538062715,0.5217535275678552,0.4547741310324881,0.5194366588349935,0.4618554840353213,0.45192550907361906,0.54948580303431,0.5747478686517601,0.9480219837657904,1.5430741683327898,0.9904632741439868,0.6891338192469387,0.6183143994817248,0.5897765972393616,0.5856720035227725,0.5305456963847068,0.4815566574948582,0.5078389750197823,0.4522557795438205,0.4842962649790903,0.5847876349870819,0.5798054699472226,0.5509654325885649,0.7134418767148263,0.9420194255011404,0.955302154964425,0.7159492390507173,0.4493235755878958,0.5060567905116227,0.5288504216078743,0.5075765158573988,0.5737470538411658,0.6029639147078965,0.84634986905923,0.5575353548050929,0.689692786122844,0.6433009069111802,0.5187105021189041,0.5033950760273004,0.5235519477236956,0.5474345280589427,0.6008602579943038,0.5727826006982841,0.8097097821848618,1.19641772341625,0.8231504205531619,0.8703723375765593,0.787370773931724,0.7011946479062934,0.6804988013837738,0.5575052185983479,0.5914158130657848,0.7302611602238626,0.5545454121503068,0.552694621463649,0.574231566154764,0.5819300151965112,0.6107369452668643,0.5413092276842796,0.62079214998978,0.6982861054648365,0.6897183729128804,0.7151366169650283,0.7474964896560534,0.807961321355775,0.8074255108356386,0.8796003739809024,0.9415268463293008,0.9455315054397709,1.079991969437778,1.1042266036792832,1.0207041547146394,1.263739548371339,0.9902995569087427,0.8994829698455828,0.9132117020453723,0.8781206551982694,2.1268635609271707,1.1204516313674502,1.8633236691447823,0.9081267434784457,0.9391470469949358,0.9350469995596737,0.9836326210262712,0.8365052892402539,0.7824696417759517,0.8265311695005837,0.8217449861374365,0.894271671102562,0.7432569464203023,1.0802592845787407,0.6863830427662443,0.7305311774295812,0.917132482601409,0.6778160393159502,0.6073165876663212,0.7287457750639339,0.8578570707125017,0.9267939810476155,1.0660009270930717,1.0156258870993917,0.8803420081267805,0.9038330291610557,1.1283887993800226,0.9188221913977751,0.8436161034985317,0.9669570189026723,0.9916943761397112,0.8870194009353312,0.9479318990714783,1.0557103048563377,0.9945776909680948,0.9437165276773284,0.9695297605143486,0.9239349106804802,0.893795495496484,0.8456199017437752,0.8351944726619661,0.8667175207734594,0.7888973017819134,0.7658320500878026,0.774068189694297,0.7983860887606916,0.7193361823204565,0.7623004737918337,0.8416403527952766,0.8240435890990182,0.7131084304156275,0.7864828253029261,0.9429457660320296,0.9351113903388728,0.9412672704607613,0.9458051981430111,1.1627555093995732,1.169053183531593,0.9655665268457692,0.8918171046876073,0.8353821700990459,0.9591441481754874,0.874727344024692,0.8594626250581678,0.8921336732122629,0.7157005099216566,0.5834383083052774,0.5422221793342368,0.456137546201646,0.5386998572003711,0.6816307555814841,1.028460332275632,1.3913345572512554,0.8667861096690122,1.0129519568287713,1.2800198968279135,0.844919117305851,0.7697486572147534,1.5458908448052222,2.1188072112951017,3.6217467666857615,5.025115118355979,6.377778249347231],[0.6534021180822334,0.44886881401819995,0.5813454739339596,0.5265697249119509,0.41438819712192326,0.4803379643499989,0.3237282952889588,0.3988086057119138,0.31499325580513265,0.3222787362098437,0.38226332679920627,0.5217801214674206,0.4009403585147531,0.3777266989989645,0.6594789718723238,0.5260088386947402,0.48150080112389115,0.5681295131380348,0.5862892243032548,0.5818381671500231,0.5947738275836936,0.6094219196578153,0.638394525935958,0.8236443321719149,0.6942440600318643,0.5938039664877405,0.479936067022759,0.46699271173193274,0.543874030689628,0.5385578372977059,0.6009088955402512,0.5976854677401638,0.6648908088651505,0.6415289045034775,0.5951542692636158,0.5613176326677993,0.5609585383597593,0.5311589896663679,0.4813617633363547,0.5517363210707906,0.5580228328102232,0.5302357811522926,0.5342824104020844,0.6356106557596585,0.8429287492607498,1.4925787119245146,1.2094598002989505,0.817054557780555,1.31402997721639,1.0291927173197288,0.9774261219699838,1.3069674861474183,0.845939527183611,0.7751507015150448,1.5040129158874558,0.8017999463115588,0.9464246565052167,0.7712444477892595,0.8798782777505995,1.0300845737144313,0.826087944723505,0.7696461187525335,0.7285391058066164,0.8288388480936756,0.6276867280189569,0.6259721182967676,0.7814657682619621,0.6592769612479786,0.7781029314291474,0.7463158241159407,0.9984688832249122,1.1840776496975551,0.9519974967828114,0.8554980560470358,0.7097426480965662,1.2442532399658823,0.6398801963916078,0.6667125803128867,0.6263693886106747,0.661213472588732,0.664283912598854,0.6596996683019143,1.0514588634594497,0.7481450310292186,0.6507408638022546,0.5993401130993862,0.5562457822711812,0.6351669045740291,0.5691781070800738,0.6893587170799599,0.65397311782914,0.7597505432538194,0.7216536808427672,0.6868111751246854,0.6293308683124439,0.7448661808824871,0.7376525395497187,0.6549698603146583,0.6442067233477282,0.8153458878341346,0.6557476380215606,0.7143260503874315,0.5501562924449764,0.6240742731020242,0.6967650716409256,0.6317261628087271,0.8626703971926063,0.59653942529141,0.6382579518306444,0.7300126729372769,0.5601060515916918,0.43419234508023025,0.35818461384454015,0.3901764238224119,0.4076252228837277,0.3954316437649396,0.43829598778928974,0.3573293697280584,0.46336866427160456,0.5248467831550515,0.4360273067573986,0.38993917312312854,0.37146979044369066,0.4074485003057662,0.3613268633869748,0.3575190799332183,0.5188189537021592,0.47098030014592357,0.4915508284120844,0.5666968048656075,0.5824083905442631,0.6245233741792946,0.5493106765228154,0.7048756319747076,0.5658138398157203,0.5417455498549264,0.7934098459798723,0.47514727470020973,0.5576123218101482,0.43367604103230845,0.46803998445048334,0.4373084864156128,0.4344852804384792,0.37470178725528847,0.3934868546822231,0.4295770980827545,0.37622279794167046,0.45214514078699314,0.41906807380489686,0.41909997604279753,0.5537960370392329,0.5665881354148754,0.9406826763377953,1.5301664015636112,0.9521960090308194,0.6551728442136391,0.5820011459207411,0.5803583773986264,0.5336039404072136,0.511162504501517,0.4586496277488643,0.4428974978443594,0.3929472672737171,0.427035262876329,0.5997319367178416,0.5607030722517367,0.5332523066767545,0.6828199111605493,0.9306112042384538,0.9403858416882581,0.7120370761601911,0.46293758355682435,0.5007082003744373,0.5123110920721187,0.4730718711679182,0.5446073608604284,0.5378261302846146,0.8219304419413725,0.5129974902900147,0.6857413564375269,0.6204833743107548,0.5194325814357297,0.51557777214791,0.524649708250575,0.5400654417398333,0.5705417809852049,0.5324843378755019,0.7564560872863474,1.1618689428689168,0.7756270822214422,0.8405645790607159,0.772286697736956,0.6891644059299664,0.6794327438581531,0.5985768748909714,0.6247603507291533,0.7877532598851311,0.60784208661397,0.6052248542242279,0.6179650687655726,0.6399511259240189,0.6734666662102482,0.6084420024891711,0.6769979280953368,0.7427041676073378,0.7409149886347094,0.7625971741026483,0.7817815041439977,0.8381994263307435,0.8515713204339136,0.9024096419973061,0.94193596625904,0.9577943156169811,1.109443197964084,1.0952680128191006,1.0131128912180143,1.2421070172822286,0.9679599618811013,0.9044226911963612,0.9150765058613854,0.8875257515546177,2.1835183069403414,1.0675139020072275,1.8400083059778436,0.9303134886251132,0.962209938896783,0.9613477986741902,1.0141385031562082,0.8589908199632006,0.8200639987478823,0.8677895614809844,0.8640443433151429,0.9194964750071227,0.7875121507991049,1.1502220674399544,0.7193876688522193,0.7565861020221966,0.9367356087260592,0.7096542210359815,0.6533565586570865,0.784506777361489,0.9068519974982161,0.9607972631538263,1.0774794843028674,1.0346566008252442,0.9177774933833195,0.9191197442520873,1.1322719456925203,0.93950950584903,0.875577219393779,0.9826989149953169,1.0035031460855193,0.9047362412636242,0.9560178029332858,1.069589264367534,1.0158930886981874,0.9398750040780676,0.9665320450649849,0.9317560071054576,0.905562144461003,0.872905829283728,0.8644271899655691,0.8747607628033544,0.8200022629260874,0.8007531172387164,0.8021403074065723,0.8265580096191513,0.7633271085860518,0.7967908592000823,0.8605633297150638,0.8609784057083995,0.7542773266352722,0.8456903685052527,0.9167828609173262,0.950421828228381,0.9450009024230981,0.9355336978096946,1.153171693448304,1.1071649524847205,0.9397296315183995,0.8944918591270691,0.8574939369479622,0.9516498522357245,0.8811663174136495,0.8538155286143503,0.9002378774467535,0.7462938243869893,0.6353833962754233,0.598243444645434,0.5153819660822885,0.6105770900180143,0.710046967177372,1.031282592855811,1.354131788908535,0.9458035438327242,1.025500324655088,1.334338279725035,0.9002528240245197,0.7697684149134771,1.4606206404638242,2.253939483442654,3.9177053954457253,5.474985042071395,6.751919658899194],[0.6579610422031162,0.48884897424849033,0.5880840257755948,0.5848771628569303,0.4030207660343914,0.47793722981347253,0.30387302752840994,0.3919092979695035,0.2706954465128741,0.27493337870181966,0.3610340761768867,0.5128305815458037,0.362191657295062,0.3398463568083133,0.6109211360770713,0.485941690183021,0.4447265670980127,0.5228511208612493,0.5424942944838986,0.5415355970725564,0.548406910608137,0.5700587118291893,0.6309566354322037,0.786337980164213,0.7017717067426634,0.5705255111371413,0.437960942905338,0.4205511284393219,0.4954049586699669,0.4873831124177612,0.5437010648452167,0.5530914689347287,0.6058665386492208,0.5689464333702914,0.538166847274285,0.5101442800728148,0.5093371153718376,0.4745880522125542,0.4280319086269102,0.4929896370861178,0.5442285128646513,0.4941344176548597,0.4774782015023939,0.6159735216812904,0.8741783058399253,1.524873640080842,1.2608602069961252,0.8184485318328963,1.317864795664571,1.0620649665641717,0.962245014628346,1.3558524071024034,0.8146019491020488,0.7887256196676941,1.4317691612283887,0.7155842551250685,0.8694954135854844,0.7408003257699974,0.8144810337551707,1.0106433880534416,0.7708588547931362,0.6849170394874037,0.6699646349858731,0.7845689574024821,0.5848628740268981,0.5810218178903221,0.7382815588127097,0.6021718476686954,0.728693179714102,0.6973900289353068,0.9566667118806784,1.113280011081507,0.9016673016420315,0.8000291276024597,0.6830723278614759,1.2051646541712786,0.5977875130716822,0.6135496899561372,0.5625421018227759,0.5949175443248221,0.6087767490307257,0.5978209159780495,1.0220551689942365,0.6503437570964924,0.6411005100352094,0.5620710925225545,0.5046758486503355,0.5847460807639363,0.5112149877124043,0.6236949594004801,0.5880814721304368,0.6897061392097313,0.6515871383442245,0.6141418168205546,0.5750627376039201,0.6707245848564666,0.6655158774112877,0.5881844388708276,0.57885258948467,0.719383560283509,0.5846871277140132,0.6478629979889299,0.4895451718767444,0.5525271578938347,0.5916034389287909,0.5709879273529004,0.7765973876099892,0.5335944572161305,0.5955764082865183,0.6965508331446457,0.5239602932224251,0.4128943660697258,0.33513062934597515,0.34978116147947597,0.36907868300929425,0.35480284370367254,0.41505607068652417,0.3151458645331135,0.42152431554693426,0.48573749897360424,0.4002752501800936,0.35593229283639116,0.3417864385011053,0.3753650013700222,0.3376938085342979,0.33807058450105065,0.48012851138178064,0.4568525051024372,0.4633795698480584,0.5167397627461031,0.5520613488050145,0.5546605845671276,0.4967254718922663,0.6383024924295877,0.5194955193081335,0.5078485293352475,0.7551759476816302,0.4372648777960494,0.5346759055930109,0.39252012839262124,0.44075430075477307,0.4044854268220214,0.39532436760561096,0.32576865072648353,0.3421089826793293,0.3814156527686029,0.32871675490345803,0.41017389476919214,0.37967620964302584,0.39540098594658085,0.5436991566566892,0.5738032550687704,0.8455782482049268,1.4450596062230885,0.991970534444245,0.5870321976448144,0.509854104983088,0.5260378389233072,0.47424600583629456,0.4562244242436837,0.40807404768426303,0.38785866865794205,0.34626068084470907,0.3739214340863413,0.5347475398326623,0.5274358729135828,0.506633751870569,0.6737238081360504,0.9191395245823336,0.9342892616277622,0.7004415112278486,0.42369229894442906,0.44936582508268796,0.4573788615102752,0.4128300666701428,0.4873406255729773,0.4859393746809728,0.7675094854004647,0.4483325299479819,0.6182275585096384,0.5931851480223435,0.4532742330803812,0.4527290755751733,0.47869894359704246,0.5083839343803848,0.5328726490284875,0.4742051481942372,0.7197143778802925,1.146711571328651,0.7782604138219534,0.8437495189316261,0.7534988498764081,0.681041800791828,0.668117693147193,0.5686793369862182,0.6130264611321602,0.7691454445495004,0.5707471942778878,0.5768801265092991,0.5963785464703913,0.597722642708261,0.6285755300583903,0.5733943623968788,0.6400126006696341,0.6850461944084496,0.6973978364947949,0.7460796764155933,0.7315718773446744,0.7706046930493216,0.8046845490615989,0.8480217514510621,0.8693986673633056,0.8911690221520573,1.0507690111319707,1.0438590977674986,0.9604997635508395,1.166700516406378,0.9218603615947525,0.857758527025423,0.8595231067432477,0.8233381811676526,2.1061763995892915,1.0183808925065145,1.7779207581166139,0.8764035168466007,0.8835202156617451,0.8931610398753606,0.929848220610635,0.7924908226756275,0.7584421436063624,0.8221782976951276,0.8305524050883392,0.8610822782021699,0.7415106441486917,1.1201846111968943,0.6870087757710139,0.7431221518694784,0.944049417562999,0.6788003368461469,0.6221040525046342,0.7588578929592953,0.8763104681842965,0.9302310188009383,1.0000600255038383,0.9639670041791083,0.8729191066794841,0.8391178993359072,1.025209684500086,0.8727740748332542,0.7942052433698888,0.8902156218261521,0.9191921661920238,0.8402165034722782,0.8713947359226438,0.9803743393941553,0.9675007508644414,0.8588115815799607,0.8774149662696091,0.845415819448946,0.8217077314201444,0.7886647251854675,0.7794894958267282,0.7964744434031065,0.757800115247783,0.7396472833193725,0.7386323293563805,0.7745136564825897,0.7200838814879035,0.7448100801586001,0.8385683870089863,0.8325686289466566,0.7248309200977754,0.8094827124508894,0.900163381365598,0.9218280694287118,0.9060539343419963,0.923321536937185,1.1430778407504174,1.0268340378041876,0.8937888479286312,0.8632889997973173,0.8120168832745435,0.9330752470110703,0.8439825243483251,0.8179522073480698,0.9008482276459869,0.7210349480611352,0.625073976069674,0.5740833508352804,0.49450994295299117,0.607374036911002,0.6335200609550571,0.9455974118607194,1.3557620806123285,0.987350813918743,0.9767728812942641,1.2844373713226356,1.0303706003009285,0.7855366524243101,1.324327300982419,2.1496499122209483,3.910693344670017,5.391011445258476,6.385287320618778],[0.6268591719559,0.48723669595098856,0.5793752518899727,0.5613333103670374,0.37265425753441556,0.4391176835246031,0.21756513549480308,0.37317952004285737,0.302436551769439,0.3019826120866218,0.3609173218331274,0.5205877644550153,0.35853574025275087,0.34690701048298933,0.5374294388816936,0.4582353933031619,0.41504032710503785,0.4460344313818701,0.4625141683381025,0.4677835495852609,0.46399065883800267,0.49662634614920004,0.6018368049077649,0.7686592457427875,0.7088017968628173,0.5091655464045325,0.3799227490692057,0.37383490031039407,0.4341772319439235,0.43089774828040545,0.48731860120096604,0.5295140604356586,0.5810153505658424,0.5331026156081686,0.5013867953167327,0.4542495828430452,0.4605349450880449,0.4324583111886628,0.39324126972660167,0.45679324596922233,0.5156097578678381,0.44034030489236586,0.407436506197291,0.6123519287911169,0.8995983871840604,1.6084575787831539,1.334300414204449,0.8293737954490525,1.3117243377233456,1.0764509152955466,0.912122276270321,1.2625070720279523,0.8056395174743194,0.7079572931826065,1.3492419635914161,0.6859153752194395,0.8677974338683329,0.672570298129242,0.7813424243931556,0.9977870881121533,0.758605305627051,0.6559664827915035,0.6138726690946563,0.6649562681248692,0.5236411541391771,0.5045540034564584,0.6639810811340047,0.5214651351094288,0.6327078650412851,0.6049282077409601,0.8722791366262503,1.0026575140752192,0.8015669240326738,0.6796965149933513,0.6008655299748004,1.072058742858118,0.511105532861948,0.5387357545514401,0.5063569624477529,0.5278349961634434,0.5575137372304411,0.5737593578952389,0.965555413709669,0.6093220142480359,0.5795490173490759,0.5183425285252984,0.47239653979260754,0.5406202676769507,0.4504408836689375,0.5753983836646996,0.5297784080000796,0.6447727491948141,0.5967281287385432,0.5830736003159634,0.5379024854385661,0.6343111102930413,0.631117595002973,0.561919178810718,0.5566080950424637,0.6888905941924307,0.5543760451074599,0.6390218922580686,0.4838199614287501,0.5602430447421679,0.5639072077294278,0.584724438017306,0.8289001265240682,0.5596414494850772,0.614649965258497,0.6983828915752229,0.5441304749338942,0.39950249689502954,0.3139628165087997,0.3121152947353111,0.34456509044984934,0.33682298891961016,0.4449685087920313,0.2932352704940648,0.37975192541320074,0.45680172211815534,0.3836674375593412,0.3479511079602329,0.29134173889184817,0.29013625180660607,0.25732305284335044,0.2709379776397562,0.4777420451898507,0.4404755559880503,0.46659811894357184,0.5102575426761818,0.5390239441994946,0.5697721188146011,0.5030388486175852,0.6473615563981701,0.4975890847183355,0.4928367579249309,0.7559261491104473,0.431441530703488,0.5146034023858265,0.3718354718552228,0.4405074260103562,0.4057165456576619,0.39161163795279935,0.33805321186669207,0.3346601327213925,0.3703695091375867,0.31774440607289894,0.40831714208055125,0.3696057312637157,0.4007148955235532,0.5406553108111227,0.526917901323278,0.8205576159417456,1.1977210544654955,0.8205153198069098,0.5716109456731424,0.4994840230288931,0.5257039963816876,0.45875937461371885,0.4772613738745002,0.3912262691778424,0.3845484564619816,0.3332360463702286,0.36620810226464606,0.5158846684739585,0.5243587928601052,0.4836365881101274,0.6871009416805091,0.9421583104895492,0.9232414026381051,0.6817539030714161,0.40024438416698654,0.45140930479211167,0.4771857113290893,0.43026135228394696,0.4697278033028734,0.47055987683721434,0.7133593611763182,0.43754231578039443,0.6331344131402887,0.6406301271435056,0.4591169131339762,0.4674878733434186,0.479438462850805,0.4875796195753649,0.5102957036592658,0.4666673184510172,0.7138354516319089,1.1559092185458284,0.7998246708319835,0.8052402097971493,0.7111465542040901,0.6801357566611712,0.6667834856239349,0.5637626079522228,0.6242647684061632,0.7613270036807569,0.5873389793104319,0.5876782723807271,0.5896298329480846,0.5994502660269686,0.6179526526366892,0.5750885851352545,0.6496470627942842,0.6825385593573424,0.6917839947897799,0.7526041227321648,0.7271018820382956,0.7397326318921595,0.7832292721681419,0.8185894826571678,0.8156817916823769,0.8249956966517892,1.0063515002490515,0.9679074326289899,0.9362200810692886,1.1105875606124345,0.8835507354142678,0.8313913701908607,0.8193788020636027,0.7993414988633204,2.094606203997463,1.0015795176228908,1.752479880099831,0.8574334843909777,0.8555783043624995,0.8664449293561035,0.8927924978267797,0.7875787121586499,0.767315283797531,0.8238683596784602,0.8347803818594267,0.887048896816402,0.7587995774095304,1.08977218491238,0.701781786763394,0.7583360224576964,0.9235401909974424,0.6923208706778008,0.6173393986110393,0.7512489443353306,0.8650991823790587,0.9083101575750104,0.970021738936644,0.9364972138152358,0.8570862914140024,0.7999350081025518,0.9685113215533548,0.8374805942615683,0.7654322970918709,0.838364807649143,0.8698503582464191,0.8002306220844608,0.8153544798005101,0.8964500536615341,0.9115061893601293,0.7893661165923935,0.8006165975070938,0.7926013887577474,0.7754227731802323,0.7577180135833526,0.7536474591721819,0.7634114922747336,0.7406497409274377,0.7296660067220236,0.7280978952945636,0.7643169271442165,0.724169192528437,0.746791744891101,0.8258261261598047,0.8291547624998409,0.7353211444543423,0.8191747650786722,0.8882573670431257,0.9152298322798728,0.9089310281830545,0.9135120382697599,1.1533019111478162,0.9853290554405131,0.8713348523658094,0.849566527718946,0.8124791081699482,0.922810089040271,0.8489950864201539,0.8155215785651804,0.8799354457718906,0.7302096965102027,0.6312035567150124,0.5861174785521001,0.4990142779175401,0.6170341546199216,0.6329387363304528,0.9249833071138939,1.3462782794936001,0.9802907886983743,0.9560798262894307,1.2249169338422092,1.0536171458921186,0.7438182264997493,1.2140161963057512,2.026017583831784,3.759117793789129,4.90843706022856,5.517048443677947],[0.5848557049289433,0.4082521833879448,0.4084595663346002,0.5006368547030935,0.28606690263817164,0.3028877709712961,0.16851856108539992,0.2801702819181576,0.2347419732840586,0.24770165640011768,0.28279863169576247,0.418337309153474,0.2957255094693265,0.27805026165155083,0.41523960082792866,0.34421595893858137,0.34380292729811746,0.38502778931014875,0.4199817627228827,0.4215718348782149,0.4251655180621893,0.4773029351673829,0.5761884336440929,0.7088949692908156,0.7396493971046477,0.5039166078157606,0.3412985092212462,0.3272391131872569,0.36630229317665025,0.34446228394269035,0.3808721702043398,0.3800472053010212,0.432173260031417,0.38742360186102676,0.36828924312491684,0.3589641361122962,0.3353627827322616,0.33916412570544135,0.31600907960914865,0.34590149258987113,0.5019771959000748,0.39526304255637806,0.3418829776458754,0.5826285777949305,1.0015659503359682,1.7066239103591296,1.480456515681461,0.8231885784714328,1.3289541755212835,1.112311319726718,0.8622868976708887,1.3489078161349064,0.7728786185618867,0.7306601408639148,1.2667650397510521,0.569158592147988,0.762736179638359,0.5886221249046419,0.6368335787466518,0.9795628437304482,0.7118541029987748,0.5885378800702743,0.5426083832152728,0.5493973817001675,0.4879756884112278,0.42072979205720634,0.6332496531026715,0.4559377621106932,0.6227433977874669,0.5550339721443532,0.8590264248484174,0.9886365998083431,0.7425041814524574,0.6500885009261375,0.5129629760381726,0.9740826906367567,0.4093560885700139,0.418060274318035,0.39218153395358957,0.4415606228982638,0.43436160324764383,0.48387296034165245,0.9427518649281154,0.45678378557330584,0.5326107598636457,0.40814363466411324,0.3537305361970788,0.4299371381128088,0.351458263953228,0.4773166977680936,0.40693230839159517,0.5615040543497379,0.47178782782801215,0.4007108358689014,0.3845720589190655,0.4530781038413638,0.5248856342756999,0.41205522824098306,0.3916855786443215,0.520857446389421,0.4104655635630842,0.5292855988604549,0.35163944596430924,0.407082463961035,0.44601741337342965,0.44994650343572096,0.6746888089656713,0.39859098559797307,0.44975042371493124,0.5899107228636471,0.3610254268359173,0.28943727287516574,0.2294908536105487,0.2703414905652914,0.2898824275568627,0.29738357792116304,0.41898852016426674,0.28605624261275164,0.3519469571741572,0.43467977252931883,0.3470431034453978,0.3249743456016142,0.2793850884826933,0.2763988937859233,0.23956761229544205,0.2391397677423923,0.3397261719807416,0.3419021545965966,0.30615292521088333,0.38086581514543355,0.4245967318363162,0.423996347994026,0.3792529355968521,0.5147700776048166,0.418242712189204,0.4516487744760869,0.7083470602314308,0.3884039347847596,0.4893264483967598,0.33986630178632216,0.4303926595874012,0.4057680570024911,0.37106389313459676,0.30188103346674094,0.2742454439262364,0.3009236497229129,0.26285665872050695,0.32643783426032463,0.2674306334694667,0.29276044042804056,0.4201026405910343,0.39530970946566024,0.6344871837200196,1.1245364379329206,0.8076454003416393,0.43579824169460224,0.3489243672605247,0.3693252457772433,0.33717054410138236,0.3405541249465006,0.2977726462172065,0.28482613124025014,0.2792909542382622,0.2836746875678273,0.4564410785890883,0.5064957405664587,0.47083671640033953,0.7073002532279474,0.9384248135086313,0.9234573616930224,0.6534780274915135,0.3401519253323424,0.39493574377093515,0.37425355692708145,0.30865264903410206,0.3522621454500293,0.36813800780783423,0.6139991010247227,0.3293471819517741,0.4969788712189157,0.5767914989777055,0.33434379933497244,0.3554012310631274,0.39861990617108073,0.41955820284844736,0.42117428789515154,0.38404858216603804,0.6529781765751479,1.129695441271315,0.7520412195123746,0.8631331250738644,0.7121539820474281,0.6570177716854622,0.6278871608420672,0.4778787188033212,0.5291724402797447,0.6693379641564565,0.4577582110731806,0.44411705484923414,0.49777930417653976,0.40176045192562954,0.4360344600498292,0.38480350813701,0.42238193292204196,0.4400168312455942,0.46468161523581436,0.5445621953367068,0.4786658974055245,0.5106750063197333,0.5374305643340216,0.5758758224866981,0.5692662268214893,0.6049768959064267,0.816075541393495,0.8108088893805964,0.7189841027855514,0.9466031576256454,0.6703724090689626,0.6120304859890822,0.5892377034298711,0.5592794205177664,1.9374977508087334,0.8657439507690726,1.6156507413478023,0.6544745568216392,0.6724873606097538,0.7193138635215974,0.757210229414297,0.5900920727966558,0.5573386427288369,0.6718847187528045,0.69252149145346,0.712888972147425,0.5975751920758281,0.9867777051423883,0.5815375169715817,0.6505487672443832,0.912104512733471,0.5610373051003319,0.5016819778049642,0.6232691825028148,0.7171476987374346,0.815649566199507,0.8661952256376491,0.867396016298659,0.7466688952742909,0.6526686028441214,0.8450684982568126,0.7451668190834188,0.5833579164800256,0.6719762951881731,0.7316488975085935,0.6093185499181302,0.6242327584179671,0.7259313126901127,0.7831226888131081,0.594100433791811,0.6108670348799186,0.5640337494449403,0.5595844871769954,0.5457604664583231,0.5473635117448638,0.5256186927321319,0.4918773200548249,0.501584048628786,0.48826324728115544,0.5326075505845995,0.48710625140183605,0.5125313303699259,0.6291352990254634,0.6042546491635145,0.5394969263846378,0.5994103336058484,0.7697617923289255,0.7647175699415834,0.7399836290326756,0.7912950697158956,1.0692278408142712,0.8296668341511858,0.7003935823117895,0.6416488198219367,0.5969707214144504,0.8121783502909118,0.6886029464634584,0.6586857829745795,0.7474349381915444,0.5571313874218353,0.4627361836653182,0.42559888986885236,0.35165133014559313,0.40114581651609427,0.5280295150694185,0.7881454954869122,1.3611283784493886,0.7835132719245929,0.7186358597299679,0.9870437320947942,0.9792174272732912,0.6307217747782917,0.9929449960460994,1.6827602136203967,3.377941111417459,4.36900705952297,4.832595661750986],[0.488461386643255,0.3442402098050797,0.38282611233011266,0.505135252719218,0.28463261792927996,0.22232398200673748,0.1713526746121988,0.23044963604090465,0.28086370216848294,0.25604997378672245,0.2750605384495379,0.40179665735091324,0.2719216815405404,0.27981195235615614,0.3452450200689548,0.3083848522281161,0.3042065027852967,0.3095846132462564,0.3926438917135338,0.3630136644375091,0.3839925059495967,0.4688618538049307,0.6106061933408622,0.695891354057545,0.7983914134932122,0.5017079539723793,0.3203702428657033,0.30028480022570425,0.30178474548664436,0.30240814832268265,0.34875940105719,0.35741951107441455,0.39926180102700537,0.3471928152631218,0.3414181548360687,0.31681946350388945,0.3313562886041133,0.3143715745917264,0.28978958125247145,0.33712080406461314,0.4841214420672238,0.36384022040788755,0.33036833978560604,0.5684232909891471,1.0475731055061681,1.74052515311549,1.5580142489901931,0.8380136093863733,1.2944889521781644,1.1453827644042154,0.8856899764547206,1.385499418368889,0.7758199956914185,0.7594668825483771,1.2166659203643133,0.5274691082741556,0.7183255630868345,0.5974536828917293,0.5712505652776096,1.024621154554837,0.7020757528790309,0.5425554154426644,0.5127586512394421,0.5241276381188114,0.47706541389835455,0.41294962212932124,0.5961389505081044,0.4025774492336666,0.5741839971283536,0.4991703702891401,0.7802892528270989,0.9213381341517493,0.6791084591206469,0.6145877259243605,0.46472769838871253,0.9329526598582729,0.3619465463862139,0.36674200877980523,0.3480310041079544,0.4188228508383317,0.39817345203194904,0.4628781236662414,0.9496094051503341,0.40018465301419104,0.5727699834234234,0.3854156352620023,0.35442117215463237,0.4150129720756605,0.32262509414891516,0.4449208373711561,0.3600522589393695,0.5649531977277477,0.45953203414232296,0.38007542396656446,0.3777771908061009,0.44792058545557545,0.5483803837446487,0.4054045090176206,0.36117128361934614,0.464624601121685,0.3593242586170534,0.4584721808690785,0.3308795939663505,0.36232806792445327,0.4368199931299918,0.41647310746282,0.6041011750117329,0.3709756616963733,0.38115643438988195,0.5729206124052373,0.29146876958859147,0.2552091388782548,0.22258432840659723,0.27167628142260203,0.27922899091171666,0.29694106531724285,0.4225865858388005,0.28725413233917174,0.3631338953266377,0.41792376195668623,0.3442989930820854,0.33049750078722867,0.27744827701141933,0.2583354706186566,0.22854496196241822,0.23039066779841097,0.3072818340997621,0.3021078491538357,0.246918278694766,0.3285280345324147,0.40956309181206546,0.3861074080852113,0.3424889331871809,0.4383054500756176,0.39031711574715294,0.45387743480108,0.6725131440026755,0.37397811543822745,0.4759621446369966,0.3295608989070891,0.43471424145029136,0.4252196053026056,0.377634870484419,0.30893843258629733,0.26840422558280913,0.2848773617019856,0.25703666536387043,0.31350569708239956,0.23092387878135762,0.2580529824187988,0.38193245849985424,0.3552069306622812,0.5267676280942354,1.060578868394084,0.8159095253567273,0.400183872091919,0.29690280859931945,0.2920321917076945,0.26785401441793805,0.30016945914156234,0.2875000751014507,0.284231879928173,0.27092638453568374,0.28595427269641843,0.4395566510037121,0.5177225178638789,0.48573852531555595,0.734854183884484,0.9389692234579989,0.925765879539141,0.6462058707776578,0.32361032210509116,0.39475787513480387,0.363466764536918,0.2917256314143119,0.3195905454457887,0.3295341067174331,0.5583398521944024,0.3130905621074711,0.43211126032426994,0.6041005352557786,0.30021148581640483,0.33604005341874627,0.4022891344836135,0.4218649250950666,0.41108747347192665,0.3939534487468232,0.6228253919781934,1.1370208353236093,0.7413927882127195,0.925940347594434,0.7785400799339083,0.6839883686062652,0.6408355032924585,0.4713440093072883,0.5235948088960585,0.6346947490367391,0.44627863023814573,0.4314597853983158,0.5660679438877413,0.38545887544215396,0.4184783489572012,0.3755869646352747,0.36282500406632434,0.3675749788121557,0.401383651082716,0.4882414737211013,0.39643002530629023,0.424589746330451,0.4383045504132087,0.4766279928095333,0.4665631509613348,0.515613808410183,0.7272379525984638,0.7728416896207495,0.6992384440129085,0.8736530012188988,0.6265174945135317,0.529805339540815,0.4989586434465483,0.4752727971201562,1.777883847195607,0.829286216234864,1.5348796354399563,0.5742600383520886,0.5953858883118054,0.6703629463032246,0.7215421246294796,0.5235463105030724,0.49206163442832407,0.6401051064287541,0.6829539236074694,0.6554268771683935,0.5614348713786411,0.9649434959848071,0.5927006041768811,0.6530097716924851,0.9728180088300467,0.552770917432018,0.526667701216903,0.6168478001584284,0.6854551243445464,0.8097430150673703,0.8352462888526373,0.8739908799637319,0.7293726515343657,0.6106525449329784,0.7811913005472215,0.7165485528594031,0.5198774390807691,0.604336794747042,0.6748983829620285,0.5406684362025516,0.544739969620776,0.6355701763383586,0.7364144139590286,0.5177651240945643,0.5247856154477664,0.46609429989823403,0.4668708414988198,0.4526775601363997,0.4654152112559995,0.42869131888067386,0.39460437794602765,0.4235263626075567,0.38768605233103937,0.439110031769949,0.4011688574475463,0.4325792698932138,0.584334720638355,0.5429227603811063,0.5089565020852693,0.5343362798952545,0.7629589763440435,0.746726637863543,0.6978984802769881,0.8412143705872298,1.1135749477090138,0.8101748537438986,0.6903637177487313,0.5955077816506585,0.5324903679341835,0.8309864416715156,0.6438001278816922,0.618692645278072,0.7186618802885935,0.5149771697734621,0.41336014140710264,0.3870172709265411,0.3126487892489944,0.31605764252641977,0.5279091038590193,0.7045516969829407,1.3278727892074227,0.7377127681856599,0.5721561838918008,0.8187143035079905,0.938660617335409,0.5406993505773512,0.8083352399520183,1.424552732016396,3.080404339041437,4.03934136263368,4.42981790874993],[0.3995587217991457,0.3304359594760571,0.3668847128143335,0.4234839716041168,0.2893979344080901,0.20463341507535532,0.23995009572341044,0.28101115986830805,0.30225286438492127,0.25690250300580797,0.2860891530464613,0.42422512161476594,0.2858356849071612,0.26283883877656994,0.33645079324184646,0.3167916751954828,0.31578725325977225,0.3068631343377857,0.3887875875646414,0.3605657678463806,0.38286033682697596,0.48678329761949163,0.628962095076482,0.7139190110619833,0.859046599690159,0.5079429503128655,0.3162043830134469,0.2722060404632453,0.30079053732580663,0.30969110063736077,0.36122767119213617,0.3594659670658251,0.4046790838078522,0.33877653610707437,0.33284313055151743,0.3221917089555178,0.3353574680779492,0.32193483985993165,0.28285688756395233,0.32542610914095227,0.47511420200439425,0.3445938061124634,0.32437693947266794,0.5777843154974118,1.1652877874379877,1.8740017672032534,1.7553627775601934,0.8809531776928482,1.3038596313853255,1.2240350253792147,0.8962504779813285,1.3947508325246898,0.7682496802810475,0.7541104512109397,1.185420340615806,0.5420993873611778,0.7184750448675763,0.5849803032457087,0.5670851612157075,1.0501617528686564,0.737224345368149,0.5161869703131696,0.49273015014376803,0.48644709032539224,0.4911046568105995,0.3847512547056349,0.5979971266717726,0.38726367763153763,0.589332078252262,0.5013968158720417,0.7610125312322992,0.9248986081162867,0.6801069563648993,0.6470098413710519,0.47242392595139293,0.9597374025982516,0.3593940342093887,0.3704485851490247,0.34091165469246265,0.41507227877963343,0.39266240749614933,0.464675734521241,0.9335206749591946,0.424716221907509,0.5172795723765222,0.37423136576264027,0.3459996067659321,0.41628171090449434,0.31441293591115443,0.44337444052941744,0.3636744956944314,0.5902163334279474,0.4764378787152448,0.38283618914127593,0.38341055847039557,0.4681723496181084,0.549005009512655,0.43118965969166617,0.3989167875062822,0.5339605266601237,0.39187624170753055,0.5020506220695252,0.3590413960546757,0.41097074411272927,0.4578449405051158,0.4426605047664892,0.6525148349217459,0.44533754252076774,0.46034314880948535,0.6121319901389171,0.3697758867476815,0.29663096784509463,0.24054050867132654,0.2615658158932422,0.2443249639930702,0.28190884213631706,0.3750317890538719,0.28618807585601813,0.35320608664869985,0.39731393327865255,0.3269505300144999,0.3157852919100789,0.26405089655995806,0.2181182821784602,0.23214322159150014,0.28605246710973736,0.29601344666175694,0.3466344644352531,0.3221082801802412,0.38555120282671723,0.47681682015657006,0.45602431022024587,0.4320557026239105,0.46490278047553635,0.4558104536167854,0.5689154021736698,0.7208460081714129,0.445401756959036,0.4974041546435063,0.38112954535178045,0.464098913642648,0.4937435296493517,0.37549001362896584,0.32700306159305553,0.2851886112212912,0.28277549993462237,0.2654220651695501,0.32226331101934735,0.25694910429812945,0.2917702919744279,0.4358074074837532,0.37310164084388864,0.5804404999138442,1.0825172388849904,0.7980133194962403,0.43436647318434674,0.3466958516065718,0.33164379770577945,0.29533283356542195,0.33637056059619347,0.31828555166041456,0.3071236576641752,0.3188274242210682,0.31544253544285333,0.427789145612324,0.6602014620562465,0.6094769575831992,0.9509032658137143,1.1397347061223306,1.0789286011372836,0.7460900766009836,0.3994096077322614,0.4371021012640737,0.42087527555471266,0.3245328454545423,0.3460240465356737,0.3584448298374511,0.5780805095816345,0.33202100318221545,0.4706599068166206,0.6852454477298437,0.3426723398563798,0.3927840674512142,0.4793598260422059,0.4810798402972043,0.4652319571903182,0.4450647049560604,0.7078696680906984,1.191230970811592,0.8398996532825396,1.0136543563518028,0.7737992699810909,0.7916895979301999,0.7591928001556102,0.585510852578142,0.646585672345001,0.7018843818864683,0.539743608604172,0.5006555662096348,0.6088259085057799,0.3875075338156419,0.3763446338032553,0.37675212674218433,0.36419702206770527,0.32398039203680046,0.3609797094559455,0.4668942637816881,0.36468016148327365,0.3975084891974807,0.41242802502755715,0.47991839766552247,0.48667207197341683,0.5378458099253876,0.6994672408735407,0.817417126007274,0.7409896881366713,0.9022068497467611,0.6657544287221181,0.5474507967502388,0.5325433624319209,0.5349607582723299,1.666418444763956,0.879855557536406,1.4763092830338993,0.5290484160906678,0.5365252345006833,0.6306627689201988,0.6359941571546117,0.5169875948503692,0.47915183985228993,0.6464397757360769,0.6982537973159039,0.747595134710928,0.647191373876121,0.9244357313391949,0.7045586066935641,0.711250513050239,1.018103268748638,0.61272152776311,0.5409092030380684,0.5892686080730964,0.6171906537098376,0.7168565693162876,0.7861267918248892,0.775545690713647,0.6565901939074649,0.5490268787551504,0.7228488263995507,0.6760636267314218,0.49128671055980844,0.5924884842378165,0.6993316468728389,0.5549248665844989,0.5541137555515041,0.6769812926861092,0.8016068643401575,0.5559608773740009,0.5609400346074609,0.47579063565673235,0.4563748933013181,0.4181334311860594,0.4182058064337171,0.43055626826828225,0.3739525492192514,0.3841735042785123,0.3907845340573769,0.4482936051868866,0.4095946620445105,0.4583317282676791,0.6672345844745544,0.5823473060132375,0.5428671382881697,0.5885416057911279,0.8462855769982625,0.7998601288756684,0.7404865666293377,0.8658918477036361,1.0830822642384186,0.908399867291577,0.7355288707434068,0.6216057403085764,0.5213453975480422,0.8207797959579065,0.6949842600400771,0.713107646642978,0.831291022491498,0.5938017695392727,0.48220014491932306,0.45496492816372613,0.34703043404675893,0.31766535101472937,0.588806220403699,0.6686415910927138,1.2506969905607332,0.7824555701433662,0.5003757254689137,0.6077724982621752,0.7666378110880346,0.4704865462898276,0.7082408201558739,0.8149873005893792,2.139191723916561,2.6333136076417523,3.0398035501832266],[0.3874893973465318,0.4812753873945216,0.5759827181103113,0.3649209445071024,0.4094725264597303,0.3070841589986693,0.2037691646260178,0.23129778174747673,0.28059792739490286,0.2408709380978659,0.2541098519420528,0.36370499738924456,0.2951846539246479,0.26626364944211806,0.3266646368363033,0.3439217288558445,0.34479282639077374,0.3434234447203019,0.4240138103107107,0.40240819399970756,0.43955566992664497,0.5842551037837507,0.6941448711048065,0.7484441901517855,0.9694134799693419,0.5606976405833353,0.3780711639060222,0.328006278447119,0.34006046042840105,0.3018699357598908,0.37777388500719356,0.3377252380308891,0.38148121138366586,0.32502783746057173,0.3322743884986306,0.3430552105401125,0.3583774999843245,0.3641991279675886,0.3706923554737227,0.385743348763895,0.5206418160330113,0.4308584570296022,0.4317296911134146,0.6914707533562215,1.3349384715324373,1.9930706160668168,1.9860843185182766,1.0353459750011116,1.351914404821045,1.3875139898621829,1.0287161348569818,1.5777857315226549,0.893587080570313,0.898075196667789,1.1494973341619548,0.6372337479496593,0.7432021956547555,0.6682099457249177,0.5970299657218331,1.1410100572177702,0.8313814512982897,0.5650936329735187,0.5242749982191987,0.521033686837779,0.6003197079098958,0.4236578778375549,0.6186263559046505,0.4067156685124537,0.6069931942066783,0.4926228398900691,0.7247991788888539,0.9522776140660809,0.6319360608903829,0.6868625593998734,0.4603209894589772,0.9307110773937586,0.38743647089084693,0.3823007471870609,0.377667848241168,0.4540833623386852,0.39401827771404957,0.47255146352331734,0.9241370044836578,0.4368043893497565,0.5169554473367338,0.36925754574521374,0.3709644227537766,0.41536466206848777,0.346395026233152,0.4450548869719875,0.36938242791278125,0.6489979434682538,0.5164079596890015,0.37239282172015004,0.3782670826520961,0.4617262972609892,0.5509957545201936,0.38263168488485505,0.3527138763348717,0.460898934402569,0.3434948565407244,0.4601126703981971,0.34776252380721356,0.3738541614458004,0.5296712148836232,0.42090791976155895,0.5725266422127893,0.4809490067048314,0.4301168432188475,0.5639239634837703,0.32163492976421854,0.31451066896350544,0.263989605780046,0.29412154765491944,0.29955796012318836,0.33870000909991604,0.3988619212119627,0.3670403601529746,0.45204931645798374,0.414341963971523,0.3868614079218658,0.3693917719263608,0.34495952442849664,0.28555877094695137,0.28166699874085077,0.3395902416295622,0.4031837128748894,0.3716698035275371,0.34797091368317445,0.40941745792053363,0.5458979654071219,0.5198660467493315,0.49890144937223196,0.4342373501746686,0.472860607752673,0.6292660612241828,0.6704105909683775,0.45855274278829844,0.48528596064519314,0.44701755064810395,0.4658370876006104,0.5355848945732298,0.4131797163407083,0.38286891052194727,0.3701135926617914,0.36586658813798695,0.3511311276393756,0.3381362126046471,0.26225493481694434,0.29915854541705755,0.39801803837195265,0.3431311809068645,0.518274909435413,1.0491491892927862,0.8003260430061772,0.38592886363323314,0.30125914640395157,0.296705946706326,0.2880408698233383,0.33387785944525267,0.3236833450270332,0.3439921547492346,0.40679621377861297,0.389146812689393,0.4525957017943409,0.7406335854260521,0.7225845591623301,1.1029030568168434,1.2305790832737087,1.1476688502650016,0.8131505448748495,0.3898326970866949,0.38507173049189153,0.37049889690091575,0.3150889005632011,0.3593251574022263,0.36734623257861143,0.5015455722711603,0.3472851774047735,0.4254007776759681,0.7615568785683188,0.3317866826437479,0.3973141678553428,0.5062859871782559,0.529029297261503,0.5134754298763274,0.48914792681841623,0.7756607390356415,1.242983330808492,0.9351766571048146,1.1599716487652596,0.8699678749951801,0.931786611234936,0.8898848675557416,0.7069700354975654,0.7982934155428815,0.7855375692245543,0.6587568906384612,0.5949383427215489,0.6997583515268992,0.43510124723910243,0.389580384928982,0.3983135415506854,0.37391727635392774,0.33465294138012736,0.3829535641625965,0.4833681982882827,0.4321349246901565,0.4272318915216529,0.5054291735554715,0.605013032922875,0.6245332151686931,0.6702807329211118,0.8219687719119906,0.9862389939671109,0.9027470699226045,0.9754663794821824,0.7600691894352185,0.6198260357739562,0.6533736110343157,0.6440043584100025,1.5236812203832395,0.9600985249616257,1.3296428856737699,0.5477949389811557,0.4937301320097083,0.5702614075802205,0.6103348718654388,0.5326268657922545,0.47444040838096135,0.6517480763333819,0.7645427935459878,0.7488621083054411,0.6850251935965662,0.9700942773148854,0.8137983353048831,0.7791792983338398,1.1220135680821348,0.6603126965408962,0.6316537843818625,0.6478205955677083,0.6039580293045744,0.7411575188128654,0.7331931119106153,0.7739470813971944,0.6468921477953279,0.5279125653829335,0.6504712618136205,0.6278993661579734,0.4421209968416759,0.5342303298334337,0.6517426081963992,0.5411179423656285,0.5380742328628582,0.670378808557689,0.8628148697747682,0.6377975078776534,0.6237180335784598,0.5262981232779915,0.4637265552059551,0.39436354768966597,0.4179690919390137,0.4750768969309228,0.41697879488733025,0.40486348738927164,0.4429935372813403,0.4984574019472223,0.4323499431093039,0.5112747660584045,0.7571428842947729,0.5988470982150502,0.6005745473334232,0.6361724546164146,0.9304452473227779,0.8392621078755481,0.7599042912114857,1.0682127088965299,1.1893384069529023,0.9701798870527139,0.8566608340347374,0.6684912783849715,0.6401665276101182,0.9826023157567845,0.6803167913611486,0.7013725565524244,0.7986241352132397,0.5569002225512276,0.44914698995075636,0.4943668823670763,0.38183206247706136,0.33671309882127,0.5332646570241446,0.5535718629865135,1.1070517698396856,0.7356767344048076,0.4501643577219555,0.5490133536416684,0.7537060157687784,0.4795188356408049,0.6781752259798561,0.7059385780936346,1.9477097120968925,2.4292693675066133,2.8764562306580848],[0.43709217795039446,0.5587738884510186,0.5827008159212974,0.4142920208771597,0.4210769399666973,0.3283308821248784,0.27780848200596203,0.3182239695056838,0.34803198870623,0.2893778100312956,0.30935212989640964,0.4241180736216126,0.29504488365771875,0.2932055773229969,0.3471271454285353,0.3220959744630376,0.3690818935433617,0.36905454762276646,0.4494563885185076,0.40672612343090636,0.44696286572790755,0.5709461689245291,0.6953755896058551,0.7403842025558757,0.9633946691785156,0.575128740812107,0.38609955324284223,0.33170224823085376,0.34358978514956173,0.3132818208563622,0.3896387101329999,0.36712373833157547,0.41720454960977915,0.3642230040076458,0.34826230116363704,0.347673902519533,0.3526124470128763,0.36217357377734194,0.3570644406010125,0.3558228603995709,0.5120072434980949,0.4250790524410222,0.4159192985355796,0.669028546546299,1.3273084121908294,1.9808028256501784,1.980991025591924,1.0133031898661635,1.3364396081837517,1.3608927130405302,0.9955582893816816,1.521769665845656,0.847642636378952,0.8518236494715805,1.1662816670460603,0.6058617181518151,0.7259066487040042,0.6563740113864649,0.5955178098702126,1.1346576855806083,0.8296315854047316,0.5479991134714945,0.5223354572212711,0.5276973934144493,0.5669349176306816,0.4279134954275373,0.6502562171328704,0.4429708070487556,0.6547669560902557,0.5555562193942096,0.7991371385854761,1.0298362032000539,0.6935761743241475,0.7553374214324429,0.48050847022758963,0.9894907708836629,0.39609686365118424,0.39917141605040724,0.3865398439689225,0.43809422505726503,0.4054486140026984,0.4675291766688241,0.9461659279893976,0.43706440197629265,0.5168704694632763,0.38477039720537853,0.3666075938095235,0.4234928555669038,0.34557284543534605,0.4357401812468621,0.4002593434044516,0.6396459830960883,0.5219070409785261,0.39428535271283793,0.3944558698719489,0.49256690798404273,0.5705308788553994,0.4152372341203797,0.3822496778407229,0.5451069975802135,0.3997658037296232,0.5013216267896213,0.35632853813090065,0.41686573057938664,0.5171711554464813,0.4611158839157233,0.6372674099371273,0.49666997540275565,0.4762828006288428,0.6267388893099065,0.3885108865701878,0.33222874529236024,0.2894149288692027,0.2940468103874066,0.30913761180948196,0.34439381906091443,0.39250545089200195,0.36215601783954643,0.45449898324948407,0.4491338549649588,0.41669945456460517,0.4133823799074702,0.3953065671283634,0.31891417682498746,0.2973328131880202,0.34878839121575006,0.399817778873923,0.4011115219494663,0.39836667294174793,0.4483547005321314,0.5754354790602173,0.5611856372323818,0.5202467199119113,0.466746701060696,0.49702476318645317,0.6456384340612328,0.719097743617073,0.4624107354693399,0.46170273462925,0.4317044965564624,0.45510060667112523,0.5219898366822894,0.40860120161888625,0.36786911179954024,0.35378899640527267,0.35512701206395464,0.33211350306544335,0.34619940957139,0.28197243802383565,0.32297669270651824,0.46068606598121964,0.40214467986576913,0.6035680810774908,1.160121636381585,0.8612368152610781,0.43836755449416354,0.3434114028512092,0.3617445654122661,0.3022220537043804,0.3593496341371295,0.3244661089639781,0.341270391619181,0.3960988094638745,0.37376828296790643,0.44412816685686024,0.7493195048729645,0.7407032465682525,1.1528345679892396,1.2905920665372594,1.1832408364249485,0.8303318395580715,0.38791029520562603,0.39095089593077226,0.3909461119730094,0.32373377722028585,0.378053708276412,0.3774246041960776,0.5548177572544433,0.34463319894850225,0.4637664307684293,0.7527742673581556,0.365323354727987,0.42320421495782495,0.5389549422234644,0.5377744468357424,0.49967022460263366,0.47215056533924815,0.7749760860381679,1.2332089148480707,0.9086008490345743,1.1665872530154013,0.8746773692224418,0.9397934225017697,0.8930903766434329,0.7225247863575258,0.8225044009374052,0.8114361258897211,0.6829529374037925,0.6107561063321871,0.7044273272988086,0.4794885516605376,0.43532395479405406,0.44799762392356907,0.4311399900133383,0.4055659163191954,0.45385568535831106,0.4922662548934126,0.4776574958534203,0.5360371828033897,0.5803769127272552,0.6530458902233697,0.7204561286068933,0.7754393553310561,0.8494970587149766,1.030733960422331,0.9034079057488401,1.0495048113402468,0.7943966221067493,0.6948454611592354,0.7331676303360921,0.7311210822145057,1.494070558904126,1.0520007135968192,1.4253102856274191,0.6101182289792104,0.5577444518652035,0.6522135450179052,0.6256150200328111,0.5944583434407558,0.5123059598378784,0.6670133610709904,0.7558516892987643,0.8133382110606548,0.716760607135193,0.930847821933249,0.86498805934822,0.8133763838899389,1.119085443943691,0.6888098758870234,0.632519361995742,0.6433166183680554,0.6280345024812561,0.7195628379955579,0.7903237362235425,0.768669574467045,0.6708760020492753,0.5842643827538084,0.6952883378657245,0.6802523751712816,0.5424025692938473,0.6569617071008641,0.7718848703955775,0.6642992806776177,0.675096267232581,0.814931594787249,0.9756750426318994,0.7534252133050008,0.763127437566542,0.6466985534145812,0.5800259860728718,0.5010239757933377,0.5048007253210312,0.5823990631589977,0.5051532282059046,0.4618255773773831,0.526584617623427,0.5776157524961351,0.4840386161906955,0.5619170414444896,0.8039329136650486,0.6283239157849233,0.6361267183108117,0.6702101796082381,0.998595769628193,0.8824146074321625,0.802684005448814,1.0372353235911003,1.1480833637861212,1.0421576330684916,0.833523744243672,0.6709678632467191,0.6117894902792492,0.8430813238622036,0.7136711958763523,0.7762888576219398,0.9221383418779121,0.6459055210750165,0.5445923083746058,0.5443809032023237,0.4240628078859961,0.4213234710858537,0.6012123904195337,0.6331100497565872,1.1541264185935145,0.7996328038735857,0.5142597171653737,0.6070050779204175,0.7568980595268611,0.5539202618125688,0.769607580810394,0.6770766131242925,1.6041907840416585,2.003924398623842,2.6812624509494962],[0.45571807142952864,0.541830251836845,0.5100555948021013,0.3466656841799744,0.4031798487512933,0.32262943609958433,0.2743544185552088,0.31200734959779775,0.33957894963533114,0.2515251098804691,0.28256081832817687,0.42190842508163606,0.2704897295161712,0.23580035089883628,0.3122789309494443,0.30117531766314987,0.31417882890307947,0.3200316456345207,0.4158078495024397,0.38554304191860395,0.44746079538308237,0.5938044277419432,0.7046865611765198,0.7647507543310976,1.0090091835417618,0.5848070623698989,0.383655308179517,0.3211156849836401,0.3076032772690995,0.2836121252139204,0.33707477885803017,0.32662678371347065,0.36716792606577525,0.3148626444474995,0.31105716768828734,0.3155198463663635,0.326087552730678,0.3606827850199671,0.38191436126329836,0.3994806361884084,0.551264794238572,0.44425310146521685,0.4467629690328002,0.6871287715475748,1.3768494229090593,1.9870559812360276,2.0646952668748644,1.0493798998219395,1.316136939880658,1.3994837927016195,1.0344128537915478,1.5564102656671142,0.8906839304162496,0.90574935377492,1.1745176787814104,0.653691190885931,0.7328288989173468,0.6692379451456545,0.5754227279424073,1.169476558975516,0.8245841311718842,0.542547052267374,0.510194899102669,0.5351343456870664,0.5933797116297714,0.43819756492627926,0.6407399521431164,0.40337137836315845,0.6242364174299396,0.5007821451179741,0.7346713073052541,0.9830313184486489,0.6418924901055001,0.7377247675232496,0.4350195885977395,0.9920764862958454,0.3783134915548463,0.3619682107907758,0.351742776494621,0.4383623509409011,0.382800918410967,0.469225754070957,0.9253236604480092,0.45329646698768183,0.5008746337727122,0.3657945126616699,0.3524507623617279,0.39707857751862846,0.3175256233541738,0.423244322520472,0.35001223957247296,0.644697471137672,0.5001457436847662,0.3525525563449886,0.3527368815389875,0.46703935536842855,0.5451424187290649,0.3832978140438347,0.373370616500796,0.5479934565249098,0.3853964358597323,0.4972058009003917,0.3521933144571799,0.39417780129241103,0.530515995020409,0.4519852039465901,0.6377693221286296,0.5388235144343172,0.4898873689938769,0.6003699402478915,0.38622034927139065,0.34396951489547833,0.2856733492618869,0.30949733267004514,0.29286128081301166,0.35587534907805535,0.37171313708314097,0.3805059830440071,0.48844699580241135,0.3959043946465571,0.3800509619294297,0.3615370193669827,0.36230461836381805,0.28656147795740466,0.2737329405427131,0.3767627922688683,0.40389365351317635,0.43568192351013285,0.4613035002042776,0.5005110077464953,0.6720430621088568,0.6490939767461391,0.6225537217476309,0.520204816110698,0.5737212618356579,0.7174850712082647,0.7756067049253705,0.5474770005391125,0.5333648453054034,0.497351755080982,0.4767815223234843,0.5810071025402983,0.4448871033545813,0.410768401829837,0.4016058961902141,0.3652072141491214,0.3517321520468837,0.3406127649892074,0.28009285050505467,0.3102726619578457,0.44182429363723075,0.41274602697062407,0.6134320564000747,1.2002248125003885,0.8824921899325388,0.4403634640529104,0.3426668596477622,0.3340020509174198,0.2878265940650558,0.3438221325727811,0.3477882037513043,0.3479166300577563,0.4540587830529791,0.42789437952001314,0.5655728270095766,0.8717229857102328,0.888591536085844,1.3370670337809405,1.4377937958570757,1.2981828784573017,0.9427325507127666,0.4577047182851581,0.4462497433165043,0.43152627965998724,0.3502183323511353,0.36855357465253646,0.37605564591444673,0.5306653470139664,0.3640006562635685,0.46446536194375343,0.8307677141033709,0.4009596722830019,0.4836127428768312,0.615907884647925,0.6139386042235001,0.569590597198899,0.5486350008610879,0.8045233140003791,1.207658365752752,0.9704846346391776,1.2683574321143822,0.9297832695964378,1.0480985455068403,1.01472180819614,0.8746155968958518,0.9947658587532651,0.9393980574922963,0.8112713819827724,0.7335671666696485,0.79905813050244,0.5256431565963811,0.4516890242591401,0.48399971995923813,0.4646521501314172,0.3922751465095438,0.43373553194219094,0.4888678820518847,0.45637774884577276,0.5248921252578201,0.566873646785678,0.6374082169985059,0.7410273598164802,0.8059811828078078,0.8453482223440832,1.0683700696883252,0.8921916558518566,1.0695909818828588,0.7900274750941529,0.667785083708339,0.7290476148189711,0.7465824485768238,1.363409473798939,1.0453703817302302,1.3687484432498815,0.6020340357382301,0.531667350533158,0.6308804558738218,0.6216254594594093,0.5944766133407978,0.5195394005782701,0.6940480998594855,0.7957505257041215,0.8536591847656825,0.797299972040513,0.9989629712623784,0.9858110092727016,0.9220893961223665,1.2522021188118724,0.7905751468901957,0.7228690496727072,0.689548180198339,0.6145447111421781,0.7266604775620574,0.7582784938262902,0.7196145209098765,0.6596528183051369,0.5401599854508243,0.6558710138829021,0.6410377825153175,0.5280180815451319,0.6639040376948454,0.7961826925350106,0.6835742538436155,0.7010409285218784,0.8634672745301032,1.0370228894301137,0.7977662973074723,0.8111975723367835,0.6632418891695866,0.5822036854229893,0.491390716594286,0.5029979079297636,0.5844087209411504,0.4908012550835273,0.4782434142596527,0.5350844456864436,0.5750980085982568,0.5087776468743516,0.6137102485895273,0.8385191674555913,0.6522615667311332,0.7378494818829106,0.7630156583484499,1.1082423168093178,0.9732127876647494,0.8702022673997374,1.1236586542047289,1.1241562184353997,1.043726655649615,0.8072494493502542,0.6403153016866658,0.584145345432654,0.764133655098853,0.7633284562856066,0.8795219343905705,1.0657641324526559,0.7490379380627705,0.629846927077207,0.6375945389020521,0.47419962645538205,0.4543884875086471,0.615608382988017,0.6128847812254029,1.0864076310446928,0.8209751238682662,0.4728558359681114,0.5579189863437216,0.7132045535161313,0.5153050780592843,0.7444652011338515,0.7332139482351618,1.3069578144376437,1.7702459715294208,2.709817934873556],[0.42651303814698976,0.49679628423043937,0.5051042918879779,0.4032515848293445,0.46474509617561605,0.38257354593787885,0.37437822516806146,0.41184238011101215,0.4193855363322302,0.345332365268339,0.36710190207653276,0.47227042308737655,0.3391320942645167,0.3380709571357556,0.3943101767815951,0.3734805625210839,0.3918742095913508,0.3888500170746393,0.483551513357555,0.465138223404945,0.5331167954838794,0.6347846183844781,0.7389484320183227,0.8326846786888854,1.0750362057865086,0.6821721714167064,0.46993476393278755,0.39626375155102267,0.36554703901928437,0.3930761544402032,0.4043337172669053,0.42288763466858287,0.488731139507502,0.42103350132858075,0.3992357560615699,0.4028083486232731,0.39871908351569213,0.40335945803230133,0.43261997131888585,0.45230967666002025,0.5650091822516672,0.5068729745548977,0.5089258896476405,0.7261433994401676,1.3798954316362713,1.9648108585265895,2.0795622017826836,1.0761994530589623,1.3279298516775264,1.4189423055285098,1.0555507882684318,1.5882626061801661,0.925854587260815,0.9597171422415907,1.209942916671522,0.6893166836420728,0.7631329052874182,0.7231667938483454,0.6276102507607414,1.2267668433346497,0.8667135769699661,0.6159601152234174,0.588099256645021,0.6431429419084653,0.6557296592733945,0.5349647400432128,0.7409464706769849,0.49105149582162333,0.7122704330227684,0.5918938494876831,0.7871017317463692,1.0213441489303836,0.7186885311566694,0.8355901868606213,0.5367999600214179,1.111681561548886,0.48452597359623284,0.45018963253943767,0.4260558335765953,0.5035452297573666,0.4541913234092583,0.515865661921442,0.9504376781267481,0.4835963973998885,0.5690732232933506,0.41797290522258906,0.4201812015989155,0.4799418743763909,0.40277123644512436,0.47296622203561,0.4351055538992848,0.6889229109925277,0.5426494999166687,0.4299854296899168,0.4293401065596973,0.5226315248000234,0.5801190756076916,0.4842249114921704,0.4669877043965823,0.6220609497651213,0.4793942046135033,0.6054086886548491,0.41379960376517494,0.47504551908700754,0.5395712630954237,0.5005518750622553,0.6855213844399302,0.5761201017346211,0.5433241657909107,0.6293414276369804,0.43481319956530357,0.4010811434833525,0.3786273562771183,0.38069757147794564,0.37413046415116524,0.42363251619709613,0.42759556723059033,0.4425395571498928,0.5826579431513073,0.4942273066425205,0.48286117902676184,0.46499448012278205,0.44531066111800893,0.38226784449865486,0.37848511648100674,0.4316687531527238,0.462107658092099,0.47225074633977243,0.5026313556271401,0.5267099182791322,0.6757643825928543,0.6587722004101887,0.614746508355925,0.5469008291578221,0.5804551035213431,0.7195937440690646,0.7605314432869351,0.5642410226422954,0.5583847880303086,0.5237459550004413,0.5178488307776239,0.6127207098345836,0.47265098509613274,0.45369845757887667,0.4497870271053165,0.4271813093016185,0.40978000796139946,0.4131399713946478,0.3643377870558346,0.3953433662694956,0.5260645728942659,0.4799755784142443,0.6844693760469758,1.2866617313783095,0.9623065151265887,0.5221107485935739,0.42731220843405887,0.4469541982635369,0.3880844746995595,0.40589582928913304,0.39632484338549395,0.410807098204616,0.4927071464825242,0.46580075277353156,0.587034429459631,0.8838884248494433,0.8867048715095601,1.331948290560075,1.41529907927519,1.271622411266875,0.9308401230468182,0.4819781917180662,0.47595394132194024,0.4765824174103158,0.40888127018610443,0.42291517787037025,0.437771515329276,0.587399772369549,0.4285853528830141,0.5112462392380632,0.8390447150662831,0.4368458500241803,0.5126416408368621,0.6255319794656231,0.6322187629081676,0.606997070668715,0.5946680126339062,0.8134076536370128,1.2106323680095077,0.9938013827609071,1.29431466592203,0.9500611054258288,1.0566251212476347,1.013268214722489,0.8600320570747284,0.9733338879996433,0.918951190382468,0.8208575976910083,0.7490498298169077,0.8068716178432523,0.5627631681576495,0.49508634884003333,0.5272194594175368,0.5198729683794535,0.4573982570366137,0.4776695054872049,0.5410441246491984,0.5339658224748296,0.6068948599289464,0.6129433565393391,0.6783751834345145,0.8116126556321981,0.8583769168200694,0.8324033705853265,1.112728574942772,0.9245130410386456,1.189780444123366,0.8854269195792425,0.7561437334419566,0.8251962576637282,0.8596491332190133,1.4275125992548026,1.1473313129581444,1.41596064063082,0.6913515434145642,0.6067409898567474,0.6538911030569987,0.653683377972508,0.6750767495947784,0.5708680349326696,0.7165098161549623,0.8241573014441477,0.9140413610336722,0.834902349651921,0.9917661554304577,1.0310610582397755,0.9542471075554346,1.2504164284681893,0.8166054141198659,0.7295256150732982,0.6845185592123612,0.61517331307909,0.708472306766288,0.8103278191472645,0.7405573499542427,0.6746684523607834,0.5961337251107366,0.7403032223342125,0.6899820191854492,0.6149317889275816,0.7646802732136171,0.8939007162189383,0.7624087250391544,0.7938370697174101,0.9845290853377138,1.113219318813734,0.8931074293722575,0.9329203650299721,0.7753752667944648,0.698912778383282,0.5926790554774636,0.6011109825556532,0.7104120205151566,0.5897986740469952,0.5611480596223808,0.6430086964403398,0.6853431347637537,0.5882177145536274,0.7041369751710802,0.9476885565937291,0.7476754200375859,0.8056317663694326,0.8462249800019442,1.2010752543594754,1.0485432671512669,0.9488881424895306,1.174312397009288,1.1423028908991095,1.176147448101058,0.8783025608406894,0.7249021048092145,0.6380023623324471,0.8067363096189368,0.8599497665308531,0.9750096830815909,1.107563561818977,0.797649777640439,0.6653546265050245,0.6578821577081161,0.5110584339477596,0.5243294590567519,0.6733840449582319,0.6983501762787854,1.2228962808871213,0.8622838575590804,0.5404058039926831,0.586011549499014,0.7327381105128138,0.49835476312669824,0.7468329467668343,0.7809084229122741,1.2252992170930508,1.8469415392022492,2.9250080984702467],[0.4725178891917256,0.5717722788848015,0.6236463870303685,0.5174182210595945,0.5411000366303608,0.43007961878594336,0.3889371707329102,0.4315565905104669,0.41612476823625844,0.3324321751466758,0.34944768191612335,0.4846142872186769,0.3486514734947107,0.313316928740746,0.36409832123040964,0.3568861110913405,0.3636844805482299,0.35762541137183296,0.4373373950873007,0.4453989082290884,0.5042701209323284,0.6323445231582048,0.7848697756143146,0.8573283158400455,1.1027066370894616,0.6668852614333112,0.4488000793677887,0.36692689196043277,0.3414922994319066,0.3585710505146374,0.3677729439305633,0.40563933865660584,0.4382523288571938,0.3744284735615208,0.36442503163378615,0.3721910202724477,0.38275436071789953,0.39453921731157465,0.4345821789213222,0.48025900634891794,0.5766378565919903,0.505386637131886,0.5052040969917073,0.7467275252526767,1.4165938237433604,2.0354222965459114,2.147045760082224,1.1156485870968755,1.3454968346999145,1.4733599202180816,1.1317448974827042,1.5450744655263982,0.9575500209668881,0.9335157360631942,1.181846219639841,0.7323873630768036,0.8070896451227321,0.7053092160599611,0.6482501750362485,1.214720622938134,0.8870778999002354,0.5996734203688889,0.5528543434091191,0.5994958386567129,0.6344532447024139,0.4962917355708867,0.6975523142361693,0.4433311349009943,0.6529060993364295,0.5527909463695819,0.7525036523348488,0.9798643250113251,0.6797569511395031,0.7701414941104501,0.4943683766078547,1.0278353501997841,0.44737343179327554,0.4192801806324387,0.4073622202913197,0.484712043110536,0.42974552495624285,0.5270258906981832,0.9259073552593701,0.5191333744297411,0.5494046219464404,0.4420339394291195,0.42329639593133517,0.4544558131311933,0.3733831802991623,0.4592215470958634,0.40352383433756045,0.6538700000947383,0.498406003142029,0.3958538729473317,0.40280886433985463,0.48976912101097264,0.5659893187640812,0.4439343389827974,0.44417410310752775,0.6190115955982834,0.4545777050503822,0.5962528712179356,0.4315517972332998,0.49843665985399,0.5967566229081671,0.5370016692399063,0.7390657879627773,0.6145088599517072,0.5741309197958546,0.6582107571768138,0.5040402690818976,0.42071411982530066,0.37467268474670934,0.3831658234069061,0.35695185983206806,0.3881553324912733,0.41413163232310907,0.418219880379435,0.5483938801085643,0.4338890399050254,0.41974286241038317,0.41030051854971117,0.41453998285678517,0.34740029049659676,0.338600811369116,0.4116234603204171,0.5195107052918129,0.4906827576412718,0.5488132062133265,0.5518911079652509,0.7024961435321738,0.6968460509451408,0.6590707274820146,0.5685375340906802,0.5976865960408256,0.7419303954836453,0.7859189659921736,0.5699104454889816,0.5350526838231837,0.5040585693494424,0.5095285087624352,0.6192312385520438,0.4659228355588788,0.4417511247038842,0.44005330919934754,0.4131167996716453,0.40443936726613705,0.4144745129532585,0.36045668390107244,0.41074696364366053,0.5407085015783074,0.49774086655011646,0.7048495825016509,1.2402726774833848,0.8940741176471503,0.532745192548536,0.44605539580863846,0.4532791411796228,0.4016219223465597,0.4374230289503994,0.395425203117994,0.41649798665384136,0.49605987994063866,0.4943450547908662,0.6345838601155903,0.9284136970430134,0.9366938738057716,1.4479487208601218,1.5174563161565138,1.3338611881126758,0.9586879799373874,0.4884116817378843,0.49068202931088756,0.48841966785855,0.4184332656813723,0.43868776794117675,0.44400904392591634,0.6107851076027951,0.4370776657896638,0.5310400101331848,0.8785102702907694,0.4640547369085737,0.5359837825831695,0.6656358912618988,0.6506612403810698,0.6324956892756799,0.6132774229402617,0.8849359210564327,1.258396993735539,1.027455085884241,1.286760239186062,0.9163639037638309,1.0639912550751498,1.0305549549956499,0.9164614671492116,1.051895377215133,0.9681446834159,0.8744524744283734,0.7907585254343044,0.8192419004210161,0.5837488247555851,0.5207750310677265,0.5487700864601858,0.5532066145888948,0.5120501685284842,0.5390646174654921,0.5723070669923269,0.5897229732158317,0.6984234563730602,0.7205234305026211,0.780477124904601,0.9485829581256116,1.0104270998639906,0.998253614626076,1.2309995584993019,0.9990784105820857,1.271983810140212,0.8999739511893334,0.7926459626726996,0.8943248217693645,0.91229177158384,1.396659630599999,1.1652148794584607,1.3294859147328832,0.7068819537917161,0.6440110722091515,0.6938118363444844,0.6753588569684716,0.7099839466940547,0.605501931085173,0.749600296145204,0.8693873468522827,0.9522165873759706,0.8810850394162953,0.9994336103855899,1.0697246474621591,0.9811178260459251,1.2490838546511698,0.8424388145411839,0.7580312445605848,0.7129467906440494,0.6372206990326255,0.7171974120708475,0.8174642348114887,0.7045197889906777,0.6778190706732539,0.6173402248420142,0.713891399125706,0.6862038577074162,0.6453624855099384,0.8221339334994748,0.9521845979784513,0.8464448087449935,0.8922379851021514,1.0738753237587395,1.2399859785046174,1.0262313532548182,1.0556578216453816,0.8795575964443316,0.7877592829797215,0.6525336662703881,0.6633271638963916,0.7757423136491676,0.6525823809158608,0.6068052130945495,0.6822571071643317,0.7049941511974278,0.616873243164742,0.749382786368059,0.9769814859607501,0.7501143226154525,0.8491563055190409,0.8933858053386626,1.2268664748098823,1.0749423728478216,0.9632559928408732,1.1817738083725713,1.1381557812408667,1.1615351625263566,0.855597971021904,0.7128234440835864,0.6782617623250806,0.7640651919086658,0.8942686791831799,1.0316913023376997,1.1698261775198566,0.8258680687156736,0.7128081186946886,0.7029653345908914,0.5431926004869738,0.5702410388536737,0.6537012436218255,0.6330369099265407,1.058987490427004,0.8489368270434698,0.5704853308085776,0.6039001341420781,0.6369217485592669,0.5519092767447901,0.8117914634558505,1.0550892849300104,1.0640962576380801,1.9535867018589583,3.2814850272769673],[0.42957720530696425,0.5093570060307131,0.610031402585006,0.5050658383068737,0.5431288706630911,0.4027621340505769,0.36052922985829866,0.4010785107483659,0.3954909401848112,0.3061473041732003,0.33169897881730104,0.46299576722583463,0.3219152839987777,0.304949312114505,0.365169014769874,0.34509517433632736,0.36320838729883614,0.37063217551820093,0.48970711607617806,0.4719025906574691,0.561814450404424,0.6953046248310126,0.8210425933785329,0.9273474789584616,1.1402444240337428,0.7078830677475769,0.49975602628846283,0.39969447835847205,0.3516171127572896,0.3557754646192865,0.36961414142581983,0.3912002480656769,0.4274650721942613,0.37718746896343586,0.3751576957734934,0.3965791189461827,0.3899459163819784,0.4089796403277628,0.44309506952414207,0.47313983727608844,0.6091137467447499,0.5514528792428023,0.5676068783908895,0.8266442649222892,1.5130484556220047,2.0987714081615234,2.266812605937765,1.219123458204182,1.3883355132237742,1.5585599815326312,1.2149591021415291,1.6637853234292868,1.033000977709279,0.9765795617920305,1.1362841373034933,0.7774534377629851,0.8385848480746748,0.7419351002875694,0.6632783667252755,1.2752710597481556,0.8955526153419393,0.6214256877269488,0.5873197229108632,0.6559732718384115,0.6998892103860831,0.5273773117478647,0.7161739037521173,0.45319874275700317,0.6805129269397009,0.5461170472400477,0.7462897737607196,1.0080964156447993,0.677646849697751,0.8206111733637677,0.5135646135267888,1.0817219923334396,0.4710775745173711,0.43276333439504433,0.419853449969077,0.5145790254189309,0.4522008113314427,0.5294979087368494,0.9333617802527686,0.5396422346839537,0.5837794889635068,0.44303405159838355,0.44265571464730236,0.45810135109425176,0.4026662103786259,0.46824816664397456,0.40398712266144293,0.6875946064668973,0.5170927287399267,0.3929820882257887,0.3918660589076047,0.4895652762231197,0.5506043032294146,0.4328990534136115,0.4301676699374256,0.6178847060715408,0.43046807673515813,0.5782030377278059,0.41020874500382204,0.47567298022698423,0.6020058957683546,0.5187306852987331,0.7302619529142992,0.5969267370490161,0.5572725624375712,0.6468042876728223,0.4928031203445756,0.40864427819562243,0.3483839843828463,0.3568790521745534,0.3397921551776037,0.38799829414071374,0.4156972279996378,0.47441959912335346,0.6196534392643502,0.45590303226160755,0.4614285175805748,0.4181973005172694,0.3993594423732615,0.32900413085852975,0.32266582309322467,0.38217767835626504,0.5127826608153395,0.45025604322196244,0.517753228432479,0.5240580719902976,0.6795016034212735,0.6875383044814287,0.6347545811399787,0.5361659409189248,0.5552014918060163,0.6887086137453451,0.7361501260882627,0.5636412390260938,0.543622862592438,0.5288792784100336,0.5898888341375711,0.6978563944274503,0.52210368221986,0.47974291834379174,0.4638787573903078,0.42406522242153366,0.40161576347232664,0.39170542777484496,0.33054077717818564,0.3745651913374929,0.511146127883941,0.4741771621583843,0.6897149364998129,1.2466843307202173,0.9149299367158958,0.5172167918654851,0.4143753078982093,0.41810765824417734,0.37215594193694773,0.4138251434592712,0.38382688497481987,0.38350077586181713,0.48334135132504535,0.4757221938168229,0.6207905005086727,0.9355146477935171,0.9154934293244292,1.4228466157010273,1.4514673258736244,1.2555990556738916,0.9029745025930103,0.4895306129010875,0.48834045167544976,0.44820637678666225,0.390170131569615,0.41827592963890575,0.42636279515956904,0.5787625936610311,0.42218186958517717,0.4904643042416439,0.8219494775930103,0.43489966979798617,0.5056836113067954,0.6314008172590405,0.6261851488353736,0.6122150562002266,0.5903628972536482,0.9123644104385276,1.2640325414932212,1.1049196024783106,1.3471850406200032,0.9178256686966931,1.0744556028737147,1.0347681654955867,0.9196197785411889,1.070893204848479,0.9707547148618172,0.8828990951505271,0.8041528611241819,0.8197785342549191,0.6125342439919336,0.5470456849686264,0.5579088879767612,0.5915467192727473,0.579385229360831,0.5862498030531852,0.6197925503921348,0.672406381914863,0.781010131697037,0.7790785695885795,0.8550632810322298,1.0467282662362745,1.0755873199473631,1.0370682441418555,1.3022918565570716,1.0741026810204624,1.4053912262939396,1.0218204068893737,0.9089650496974185,1.0304340849486333,1.0528424223100803,1.4734319128708047,1.2920474293435447,1.3663379154322273,0.8204717878240941,0.7420746000309708,0.7529556153562251,0.7339847978089434,0.79507443856342,0.6700552107801933,0.7845856955289957,0.9204624336684624,0.9942311880746262,0.9203916074577687,1.021137086990662,1.1537310031027215,1.0323704569785042,1.2614281306367858,0.8777701815704252,0.7754250021642344,0.73502068875585,0.667047259187262,0.7363864307884622,0.849645052789274,0.7234769081719431,0.7040904890485417,0.663252685977141,0.7537038223111623,0.7114809973589711,0.6982148108567748,0.888279154654605,1.0094104077745651,0.903984890482507,0.9812387631490742,1.1643141058878055,1.3016545876941656,1.1245848608924554,1.1795489021878507,0.9987868038912502,0.9025880635033479,0.7444890933179057,0.7789264054636428,0.9082995516980714,0.7615071104653631,0.7076240423856768,0.8012998047134575,0.8185411002958157,0.6982458238517769,0.8528143955914534,1.085819261268058,0.836587610051605,0.9229246530469704,0.9994062271640559,1.3207142735973627,1.1442517942492465,1.0245276286885168,1.2811063617881524,1.1813234298036053,1.2788312811396028,0.9067487720709063,0.7763409985204484,0.7375823028890576,0.7829342628430346,0.8968692739336723,1.0433375304842085,1.143333186719702,0.8431266094272439,0.705840244124462,0.6993655618759349,0.5339905602925485,0.5839841269864005,0.6742784821192778,0.6629088941429571,1.0917819098316173,0.8547198391173588,0.5831599698537141,0.5776206833970654,0.6322386237388611,0.5070228602400478,0.7916871362468159,1.0535242708466732,1.0609177673154642,2.0966657024477,3.5101466556174645],[0.45552019836978647,0.47349384521964677,0.5675758373236973,0.43687350612874387,0.49842413960476967,0.4488763394972809,0.43032208640240405,0.4671171834790587,0.43877938582437004,0.3610019997802126,0.3647792193583564,0.5053197438846548,0.36109013712874394,0.32219903747642376,0.3683874773246232,0.3641803833515521,0.40113961749339094,0.38215162795220275,0.4476865238555299,0.4471628985364924,0.5056910043701556,0.6219752036088821,0.7520257799040913,0.841475062574107,1.0859564314044046,0.6646691088956374,0.45355200149754005,0.3901907328338034,0.3618963446172469,0.37900562622172895,0.4141430754824747,0.4463687145981966,0.5007962338134472,0.41123297748611054,0.3984440304374646,0.3878158585299208,0.4160403921342932,0.42291083040933053,0.4458359999794471,0.4880774489796571,0.5899999453458098,0.5105153922135525,0.513610135394131,0.7378993272291664,1.42492032154216,2.040987480636273,2.15291882955851,1.1059452471163576,1.33776720445221,1.452020220361937,1.0954272085759795,1.5136824594673062,0.9274290377540194,0.9184358129703659,1.2127796602013705,0.7158354350553032,0.79402202676017,0.7124020082804895,0.6430099440708037,1.1844906653335925,0.8765475483968616,0.5934332478511755,0.5697959405156877,0.6037639478470206,0.6373474673766304,0.5055839324249327,0.7174050038759084,0.467359984106661,0.6848066057543458,0.5798205376058418,0.7891261343149995,1.0147529237273585,0.7211947561135423,0.8171303988620169,0.5173678325143083,1.0676567951859675,0.45467697496310283,0.4362426758013117,0.42242640731669356,0.48663446937079075,0.45000170914632714,0.5588208142747982,0.957815632837407,0.5155728179495839,0.5332644056130464,0.43950183989652775,0.42710533413514606,0.4784215302628249,0.38611572297527635,0.47748902953516337,0.4273067917200008,0.6533991494905209,0.5451080596734504,0.4416547119392578,0.440667522538578,0.5304505796799291,0.5797531879558884,0.5018991302961687,0.49546680883879446,0.6856282916231716,0.5071785621910153,0.6420001188075196,0.45817130790072047,0.5484994607363215,0.5842739585023358,0.5605113108393261,0.7887585691863147,0.642264355174521,0.6137200169766429,0.6912749223468498,0.5135264971576112,0.44208290186577737,0.41007583739765346,0.41494981652780616,0.3851668005112259,0.4278522137834882,0.4237732241973512,0.44035314959813027,0.5692897113586294,0.471980374875369,0.45319519034804034,0.4379969869783346,0.4470220475396579,0.38412574622135226,0.3798636037080898,0.4619449004170639,0.4778117798681378,0.5099242354262122,0.5901856804164105,0.5904643969769627,0.7149153545843657,0.7187731417725811,0.6621568381867664,0.5990169355969512,0.621845744350681,0.7795090104147606,0.8033038410281025,0.5904316950461916,0.557936836306811,0.5336885800159573,0.5442306154457959,0.6432826809323606,0.4933105671518518,0.47262696969881407,0.4657738561260883,0.43409838090940583,0.42475371100187675,0.42721640116762866,0.38971682714590533,0.43657491883659816,0.5897620042822851,0.5438318614168947,0.7689312943166535,1.25088719279187,0.9108759335701756,0.6005426940413697,0.48790357458342987,0.5047631919235948,0.4220944079065881,0.46375644186511655,0.44025434074099035,0.45115133812441177,0.5166910784565285,0.5035695519031593,0.6473728831772407,0.9496060536288571,0.9350334233663657,1.441482754562699,1.509535131702108,1.3230270808949478,0.9587885438911165,0.5181857005620086,0.5306499727841067,0.5268788017195324,0.4409962527951447,0.47487365932415054,0.4589471128905699,0.6555610200007965,0.44832717285219387,0.5789306329368512,0.8948646518350125,0.5012924647116891,0.5603066592166934,0.6718462915198519,0.6557965896670462,0.6246366551620454,0.632535488148308,0.9118637777037393,1.2472208476962854,1.0317814617893797,1.3002126399436225,0.913804645715909,1.0602939616821192,1.0215790383808707,0.9029407802466674,1.016969712474184,0.9412404341880749,0.868029632151368,0.7889678257478523,0.8336535084075287,0.6497054864536655,0.6067537601460847,0.6198112853909628,0.6303058341654972,0.6216106750574756,0.6359408090698461,0.6409695927232841,0.6752670461504472,0.8168391613555179,0.7893971730033532,0.8182558431166473,1.0271495841116738,1.086909065957005,0.9795846098722364,1.2241108331317074,0.9894912024930627,1.3761087896641757,0.9857244078994395,0.8927332151234842,1.0034134661496372,1.0483669117682186,1.50090792390139,1.3555848645387845,1.484020772568254,0.8653816240443484,0.7891319410478276,0.7930196572624539,0.7427303177095251,0.8328610213538602,0.674483612012362,0.7729999317781634,0.8831630452035596,1.0046294286786965,0.9184669840417953,1.0000820617973092,1.1374707229665575,1.0337602395145233,1.2555912046548872,0.8741620441304664,0.7524230588232054,0.6932346248698996,0.6716037973039759,0.7551495915906645,0.9219317007369743,0.792729689034221,0.7652697650848378,0.7458587491835604,0.8707769199143932,0.801669242728425,0.7870334046658501,0.983782984977997,1.1003424553449372,0.9685924314826229,1.046137554758134,1.248081095568823,1.3518434331040727,1.1592067346467276,1.2253647023460907,1.0268517288116585,0.9528596746415595,0.8060862743123881,0.8292805682766208,0.9338325248669849,0.7830984731876353,0.7469106857873588,0.8255383569119867,0.8404546239493113,0.7276684320463165,0.863387298347508,1.0898201285763545,0.8561983168877094,0.91534205718494,0.9881423280993885,1.2913882685929832,1.133084786533964,1.066564000900657,1.2326695447047047,1.2151915815100631,1.3164890197694972,0.9480993685796086,0.7846666499466612,0.7330276910593001,0.9304442452048713,1.042652847230781,1.1696702281734581,1.2378171386535555,0.9077551368335314,0.7622353653509533,0.7315235176824486,0.5691948827441813,0.6858192465382755,0.8027896264022348,0.7923741543832014,1.2317722469044372,0.9645017549635991,0.6537660171818785,0.5895530099780883,0.6414891161882785,0.46633934357683,0.789460435780711,1.1129011286417065,1.1395492664657056,2.3917047184168276,3.805251981375789],[0.3801482468848328,0.42812510587062874,0.5096721297539573,0.41367094104145347,0.48873911127440467,0.41274015792332625,0.4587470836060407,0.5061423791907205,0.5133325506980918,0.45900335664803665,0.4816169495143971,0.5566695859760243,0.4617386653841647,0.4705338014104499,0.49408561969996373,0.4739713293088915,0.50971445534419,0.5216618472690998,0.6186749525475639,0.5670778594718457,0.6162613477248612,0.688409013853852,0.8007461702561993,0.8768233754306779,1.1163609164266763,0.7542248441182895,0.5514029441621129,0.49739260256210566,0.48333406873672974,0.48712001013555756,0.5357541288485917,0.522303413062029,0.5856722134021763,0.5558028125737436,0.5181585658065732,0.5180441911393885,0.47551176392230293,0.4840149863717305,0.5125221423190305,0.515131830137287,0.5987272898902074,0.571493072570362,0.5778387351247762,0.7954558038219491,1.4283126864650526,2.0065348091164887,2.130850000735633,1.1406192785939706,1.3855324468764703,1.4959998037846451,1.113800244625447,1.6083025000379874,0.9564041721900073,0.9688203202127477,1.222917434452926,0.7328458340617874,0.8070179293563932,0.7790100681505531,0.690415692509679,1.2970266143870368,0.9375007221364537,0.6960656858825786,0.670616032391751,0.7062907547079913,0.7150776545731491,0.6285026987523935,0.8301933691831395,0.6028543026304648,0.8111452175880048,0.7211304058421284,0.8783845794201157,1.0969221167145893,0.8344285724924816,0.9557144398789091,0.660212279240522,1.1960866766560405,0.5867693310422816,0.5723464703716236,0.5220595811700662,0.5819577784917759,0.5370619961030859,0.5550456663032316,0.9684872629177133,0.5438440551368575,0.6459833167018196,0.49345488294975964,0.48765467969967324,0.5478657639581747,0.5065913858849975,0.5807966927965496,0.5593498889504147,0.7617078777715797,0.6604165541080479,0.5721388826285312,0.5624491581475791,0.6488182468235125,0.6585323789209878,0.5681947169750455,0.5481903067324609,0.7252731808710211,0.5536935300914112,0.6747883271441087,0.4953295099222549,0.5594512102839752,0.5408757129395537,0.5261962916855657,0.7257944945271265,0.5753560707529018,0.5529341577292562,0.6520577917389087,0.4825106708257388,0.45291817250771704,0.4501992350033585,0.44263274778077355,0.4671063836497894,0.4982271556815047,0.5014257626399264,0.5468200893745591,0.6940378275169004,0.6002585795526567,0.6034613096095769,0.5670589268480072,0.5462779051587079,0.47659775802312443,0.4553763960372053,0.4807057458687868,0.4931356654942478,0.49144990270029454,0.5247215271234762,0.5426173842367803,0.6596465355484988,0.6533953913994687,0.6022709301672793,0.5659013419634323,0.5693210760404273,0.7159264849749553,0.751720772655385,0.5864823237331075,0.582070534976562,0.5507606460438784,0.5813177223569602,0.6859084991181488,0.5561260748298089,0.518114210038669,0.5137021911480575,0.5114932654806702,0.4836030709417832,0.496286926138127,0.44196790117660534,0.4868160266628601,0.6018598145167112,0.5871707978602109,0.7804906172495063,1.3304055383495559,1.0125075033491093,0.6328746159059992,0.5258452480121076,0.5198108295724417,0.4807145792090426,0.48446965452184776,0.4606730540367755,0.4759520738000667,0.5355474008266173,0.5180001804038131,0.6041363110624576,0.8747873913577882,0.8865960829389922,1.3498028519656529,1.4120590604541208,1.259080330342717,0.916387957911644,0.5083233222207093,0.5128397978735559,0.5226359280545366,0.4626329388656368,0.47135111538257346,0.5118596494883052,0.6380185648374617,0.48809050161540657,0.5556538354609002,0.8401636701000867,0.4763501584981843,0.5230974610464437,0.6454819861859562,0.6382658082730023,0.6195238290814995,0.6220358741113772,0.8077399718220601,1.2219816940103696,1.0155039930427738,1.2819797077015997,0.914440741854271,1.041072226109077,0.9960362653002637,0.8394682547771929,0.9541391702595644,0.8884536026714256,0.7992989887491257,0.7343416986447391,0.7898503279639393,0.5590438500312863,0.5150467288299886,0.5379386302737598,0.534412550869927,0.5054509818921362,0.5190938766778662,0.5547226562914228,0.5751275970989965,0.6931626898097278,0.664759912033275,0.7142452234733659,0.9055652097834066,0.9479732940574261,0.8498702553992301,1.1347422603443327,0.9241898545027929,1.291240377980477,0.9419376990253946,0.8255616850386341,0.9237475762081488,0.9746703307774947,1.4903816587419803,1.2824110143998435,1.4644420803711593,0.767312027347384,0.68630194333399,0.7192699698614403,0.6732222216789002,0.7346367676845745,0.5937391389661972,0.7144255477595837,0.8252701264629742,0.9481278867262364,0.8547934780533776,0.9617293731779027,1.0709785496287636,0.9736319883019309,1.2338176853899891,0.8190718243747881,0.7042000805606777,0.6443846532759685,0.5937510578242232,0.6829280389771403,0.8643942251289487,0.7472906802439501,0.6853942692636296,0.6564386188840391,0.8127572991235427,0.7428741382391193,0.6829196069207008,0.8836455096768956,1.0078846222910418,0.8625080812548857,0.9301227284654133,1.138890438929113,1.229014048994401,1.0273874867605093,1.0953951502626587,0.9090879149278985,0.8372233390470486,0.6858688702042557,0.7036087051945489,0.8249736176027821,0.672041344180409,0.6318874022503687,0.73331538543667,0.7582327631032981,0.6353549728661008,0.7748463065750841,1.0301708428188485,0.7861203931987394,0.8315216919325669,0.9099036307098298,1.2361393075639766,1.075641496879581,0.9973162544094076,1.1988227984659907,1.1610270662869093,1.2742237167026929,0.896552857206743,0.7285496146051081,0.6473846602400529,0.8299563862199849,0.9264806954367529,1.0613087701971118,1.1420885675813712,0.823218292977675,0.6828929805384482,0.666238940518215,0.5153996032495177,0.5613195125430498,0.6995515935229433,0.7271479417300601,1.2474055089324554,0.8805577170829457,0.5788793524542064,0.5632145658124081,0.6859629401466089,0.4540784525855542,0.7621636447374898,0.9105497821558338,1.087486979139054,2.0664411304980947,3.3109922231913185],[0.36745791186386256,0.4117318356119593,0.5015069205373397,0.39285552476150987,0.5007742370390305,0.4612957062761639,0.4832691876194446,0.5075399126298226,0.49773300528952996,0.45844721177650455,0.4464726961574728,0.5620617239831627,0.4608678677693713,0.42391773045504,0.4646914235713935,0.45972563310461007,0.505430029179968,0.48798039172080904,0.49902228970956297,0.5200460684422352,0.5456217098718196,0.6202077538198176,0.7513356971818249,0.810663021331222,1.0615046917106137,0.6879685427567183,0.48636359489351766,0.4601495452179097,0.4640456152414367,0.47087049689055066,0.5166258630645116,0.5266001351505541,0.5789403755459595,0.4965671592948996,0.48542960127939927,0.46719355969965154,0.4858784795804047,0.49590257984792974,0.5007139129425042,0.5182888779854442,0.5929922303273096,0.5198917895843801,0.5068722573149989,0.6554016641588755,1.3068084182193558,1.934227909292295,1.9991220421406768,0.9801873910825621,1.2666137557394717,1.3383235823350312,0.9864415325474057,1.408214100833568,0.8398833895900707,0.8946986865381232,1.2982043830448269,0.6919517886652571,0.7785478287418791,0.7142018836889945,0.6860457609182657,1.1615208203792347,0.9092817496242246,0.6529135239998074,0.6408763988708427,0.6376622657103427,0.6548943437268925,0.5744452607540796,0.7820136226726268,0.5690681349958364,0.7505464585809053,0.6777360820391349,0.878067390956353,1.0701965886133897,0.8142587615640507,0.8706234580043126,0.6076845312026422,1.1110875477456588,0.5337933859552936,0.5318133317603747,0.5022006614155897,0.5343107677367982,0.5101734942035508,0.6044029577433894,1.002469024095083,0.5357151148731583,0.5451765137183335,0.4964342269924014,0.48357494975638865,0.5404352782741966,0.46143663505694493,0.5503572961741825,0.5222696644734676,0.7083084251868312,0.6261921470982367,0.5344311044528602,0.5295260287001601,0.6064591203715177,0.6442627341239374,0.5774237009145041,0.5652497262677713,0.7232611548599363,0.5678559550526927,0.6728059059349221,0.5016615477231158,0.5860144290479842,0.5893940906465261,0.5815734026644371,0.8015605400495167,0.6393341834938777,0.6199216070284589,0.7190976098624305,0.5184339060633738,0.48167976596942774,0.47276305090594456,0.4917860810904568,0.4821177789300776,0.5101829278922548,0.5070581383767759,0.47809968196133384,0.5897396566289238,0.5603225874672911,0.5232111947497576,0.5236000482256852,0.5457265307890833,0.4924695376386668,0.4820372863603462,0.5440686656302833,0.5004617531654847,0.558199138276005,0.6079720236111288,0.6147109736681765,0.7200038698865459,0.7035288809240716,0.6596131773493898,0.6299870714762404,0.6571341887441131,0.8214901875724114,0.8408072998928808,0.5992979085065194,0.5864116150869548,0.5605786343258292,0.5312405348973375,0.6218526341399452,0.5054979870054812,0.493978098479928,0.4970174804667421,0.4930894810223746,0.48828342913581557,0.5108956579805937,0.46627277967110187,0.5026475526233254,0.6267504532698355,0.5729257405364505,0.7862074798835086,1.2476200807513331,0.9189176453657587,0.631787756686348,0.5409992172503082,0.5436884106490587,0.48633247096212134,0.5175930200135745,0.49225589819073334,0.516208456057778,0.5586057537086858,0.5433813805396341,0.6530885863970854,0.9216790835182362,0.9311745695459818,1.3978923771911558,1.509880603480207,1.3546559707323633,0.9962920324769304,0.537052640813941,0.5538404312450195,0.5788423103502343,0.4950607591554231,0.5220537704793461,0.5140386442844156,0.7087494397241836,0.49664359096657323,0.6253493772259098,0.9274773659657668,0.5493609118671552,0.5887922971535591,0.6980199286270531,0.6814614487446341,0.6537371739264806,0.6662443312384148,0.8672958954684438,1.2426317584485254,0.9597756359647717,1.248332501831538,0.9321473438704876,1.0275508476652102,0.9913425121690517,0.8671711078270309,0.9640017580316733,0.9210122476830475,0.8189325059544056,0.7429980841761574,0.8111272914503687,0.5833732544446227,0.5565598930717649,0.5897742208255139,0.5668998982644833,0.5219529966248385,0.5518679945232376,0.5825744164237202,0.5664307547979726,0.6967814207559564,0.6662352047589141,0.6881066724380909,0.8788805596153672,0.9464549136997953,0.8338501535434447,1.105831965565792,0.8793519317759151,1.2412406777204432,0.8947344061297454,0.7876757415767156,0.8709061186033477,0.9169092854305068,1.4864671138590062,1.2221384236059778,1.4719229995699499,0.751285075339577,0.691377984738165,0.740980404433253,0.6813008156040291,0.7233106791889592,0.5968509369515365,0.7099972156217008,0.8057994261941916,0.950706133397487,0.8467176381502673,0.9450208553832378,1.032214008185919,0.9557819914168998,1.2312999829115685,0.8302205129027025,0.7095673746928073,0.640970149667261,0.6066890067422436,0.7036745870150635,0.899462076637068,0.7792484392909612,0.7249962624898502,0.686448530377366,0.8411881335749711,0.7779224668386566,0.7145362651969824,0.9024999564729009,1.027243467938178,0.880720936536346,0.9337595690739523,1.1387242045315737,1.2424237860550225,1.018492129892202,1.074773441424798,0.8880345123687526,0.8228242324728153,0.6941115832861253,0.6967742018239884,0.7942048061368796,0.655778435268367,0.6251363943295225,0.6993296576239112,0.7262702461125954,0.6277371712616505,0.746037853954512,0.974111527812854,0.7677403730232789,0.8071738476656001,0.8639469734415869,1.2023961021304015,1.055881690043798,1.0081596635688783,1.1402618134814164,1.1703607471758204,1.2569783151037972,0.9305462853561454,0.7417074685224042,0.6571337089216247,0.9332687108597942,1.0245850186133159,1.1263616955003277,1.2122858370465055,0.8642023926461342,0.7464236403962956,0.7072928345426056,0.5733700199126268,0.655697913284774,0.7901690594700727,0.7832130240689557,1.2800271437080455,0.9603830153972042,0.6122243608047967,0.5477512281292144,0.6599294407042904,0.42070279205591876,0.7467779600668061,0.9892883947346899,1.0467520499984353,2.1314853558589957,3.4169412503412957],[0.35543422642753275,0.4431114691215953,0.5415435698608974,0.4999377534454061,0.5953719389374084,0.545840838477405,0.5689881116636089,0.5674597614555189,0.5193637888923945,0.4892918349323681,0.45540465070279906,0.5751300034667032,0.49578405626942523,0.44684154589057284,0.4784481116715227,0.49135034588063614,0.5390581623938406,0.5082707675539788,0.5125862977575116,0.5408975615320052,0.5376723291368807,0.6079333107350098,0.7330171877827318,0.795239709747303,1.0563408678904842,0.6965819298634527,0.5183506472606892,0.5056836597153715,0.5115612884053206,0.5231467520620844,0.5416358446185536,0.567291679633364,0.6053553115150977,0.525301401082174,0.5291332260512293,0.511387609923573,0.5493423633017799,0.5570974092361255,0.5715752030509285,0.5945447113683684,0.6129777168233952,0.5633686650387753,0.5536260675891528,0.6580230578190491,1.2354510236059542,1.8653675931026235,1.8814622735949782,0.9279050234859196,1.242086561773004,1.2874064161699688,0.9696554409011205,1.3371718775878418,0.8393683827436309,0.9187762746874567,1.3827980456643165,0.747092974442391,0.8196047287722512,0.7540221665651844,0.7388734668115938,1.1622824589191116,0.9299152615920244,0.682231476971941,0.6524831928804548,0.6309557554805861,0.6534507680232481,0.5890819789416848,0.7849399201143545,0.5855363303143031,0.7333432921758822,0.667890338204953,0.8776650520039784,1.0367126985723214,0.8073033173383156,0.8468040905589784,0.6202759879953671,1.1084152436389931,0.5551521542306411,0.5567184525166412,0.5439419923106484,0.5609601018445198,0.5767403663583035,0.6811378637500767,1.0702494462572092,0.599831650161759,0.5977636951253912,0.5639498954234431,0.5496677702471993,0.6030135134712393,0.5023429936950613,0.5847612903648569,0.5519132674492893,0.7027728099053017,0.6316794598977294,0.5410767229077232,0.5393661472842157,0.5922659796453597,0.636743341663145,0.5877321030711,0.5840193781354062,0.7293826590963685,0.6134935693676895,0.7180674470588584,0.5660474877953358,0.6603663285684321,0.6555871764963589,0.669917117411237,0.8550428530877565,0.7179780298143437,0.7029000005291783,0.7813490878196825,0.5938767728543172,0.5777644586715377,0.5672385783292706,0.586931620255221,0.5421458293235206,0.5680247781305772,0.5336313312279024,0.5075242177273188,0.5968290879673815,0.5790137429671867,0.535763563814192,0.5377668975661399,0.575801371155587,0.5435812614486316,0.5518041636087317,0.6453917848005901,0.6003996418797034,0.6692052115417224,0.716565838616615,0.7245987696650035,0.8257156182598661,0.8071976231252698,0.7624636269460896,0.7380782444822376,0.7768488572437264,0.9235331983842523,0.9350960817322652,0.670734711244132,0.6413115497938615,0.6160326797626611,0.5526935076181965,0.6163279848007281,0.5435601219316046,0.5493966224977712,0.5651980132787872,0.5618745476115637,0.5613478564829874,0.5899546498802272,0.5531042541569915,0.5694146536694048,0.692683992357328,0.6101688466049573,0.7997500267722074,1.2286087445684293,0.915941780885978,0.655134812285081,0.5873929981084139,0.6112195745922209,0.5513796282687357,0.600233764039671,0.5856608187879463,0.6051813308145566,0.6402582786332052,0.6202224884820734,0.7098859390113859,0.9285698171172696,0.9581686868942868,1.3752797739998783,1.5279267661974432,1.397937455567106,1.0610122373273931,0.6216411973494682,0.6262329090321808,0.680202720324845,0.5966909066965096,0.6129684013727842,0.5878200007781149,0.7720705075856698,0.5810541339828355,0.7190926296484367,1.0176987522841423,0.6559243976979581,0.7034114874553522,0.7835288671544592,0.7456193473630011,0.72507002013831,0.7484798292282319,0.8816083261441392,1.2836221261931853,0.9228940074048064,1.2126236828785468,0.9846276008770984,1.0572670793454562,1.0385548043128545,0.9177965450791449,0.9827221301814352,0.9773075309508644,0.8624740916023572,0.7900020927533189,0.9131930817406501,0.6775560229203743,0.6492765575233548,0.6936381363984079,0.6512940570556206,0.5733206426080868,0.5985591177104487,0.6633217505342164,0.6027824446772584,0.660841856090358,0.6515806393197927,0.6633383763703765,0.7699407809294724,0.8440003087042988,0.7926005773335707,1.042148881991503,0.8494113070437271,1.1388048546348113,0.8802715103226669,0.7661618609808029,0.7882353781015637,0.810377750967461,1.4891735670702941,1.1620073054116333,1.6128270900080175,0.7529179206767287,0.6992306998648434,0.7536129961030151,0.7122516897271438,0.6868051001084271,0.625571929914373,0.748259886429436,0.8034544745232948,0.9403994687166263,0.8749618828456743,1.027729801589861,1.0341394031387183,1.0171520604686213,1.3441237160504536,0.9021299617738652,0.7865200254137974,0.7037140343173726,0.6684405977652399,0.764252096636789,0.9064514588174474,0.8459771127455024,0.7783859831859579,0.6969603325793184,0.8604543801192289,0.7998907205674997,0.7300396334761836,0.8618777272350948,0.9791500800952566,0.8384330497179225,0.8540890544682106,1.0274859926865898,1.1336425550930092,0.8905952035656703,0.9291693625409271,0.7786123835455151,0.7402447474019445,0.6668998659574329,0.6691264602335893,0.7191850245924641,0.6309588807553641,0.6449748464754949,0.6765985574416543,0.7136590300516367,0.6655514771002665,0.7483691542978514,0.9540036648901248,0.8079639606501995,0.8277550720211553,0.8574515439732612,1.1443408750358037,1.0405060524801775,1.01455183926578,1.09962533919981,1.17309713105169,1.211254226069481,0.9388529617548419,0.7968491058133365,0.7034502013349598,0.9608655908279784,1.0365630347874861,1.1053495372086688,1.2308962605239209,0.9173576035742852,0.8221572651621676,0.7863029954030644,0.672361517882412,0.7235271460064804,0.8789944755362056,0.876688882878981,1.3797670837004894,1.0216583633837668,0.654260234513513,0.5646191951540157,0.7440964360600058,0.4579632238623364,0.7588112324588308,0.7505975232719355,1.112200555530339,1.8015399860219956,2.8830646032096516],[0.5695106923133691,0.5714321466075122,0.6179834846573682,0.4757782967639864,0.6213178487701689,0.5812180020474625,0.6323186697247142,0.6178201749990178,0.5559229872411677,0.5624472139430308,0.5213849847290499,0.6340679518523925,0.6164707767405377,0.5500537385870476,0.5639021377546437,0.6214563589077311,0.6572953576306545,0.6175937570918026,0.6154319788252252,0.6499699705336054,0.6620540427091822,0.7574260187123286,0.8728570263741976,0.9508680062584418,1.1417930392792963,0.7774341238824378,0.6496337941230723,0.6433349446141465,0.6423876187963248,0.6376859013538247,0.6487281539520805,0.6786619657100593,0.6927977960761038,0.6320022632524096,0.634680147797208,0.6205980873008208,0.6608918912238587,0.7108515995701313,0.7370884421500279,0.7754623340480552,0.7857235829799721,0.6889996819471741,0.6885510893221152,0.7076612663666818,1.3109174183555248,1.9461412686239472,1.9534843029538167,0.9462509196247785,1.2509214040284307,1.3043963500339089,1.014059703773069,1.3148915916685897,0.9219104605749651,0.9817399349889981,1.4188270653892254,0.8645256766789482,0.9250954452684236,0.831088862340805,0.8268658928389916,1.2081077841865753,1.0324399397886561,0.7922432954808056,0.75492106981017,0.7248937157908449,0.7467767225795435,0.7072090763964429,0.8358928309771899,0.652254687075847,0.7476977706698841,0.7195201714231094,0.863264165106998,0.9996198412185224,0.8294907752958041,0.8313963596440342,0.7031694692049197,1.0724406105546613,0.651764417952555,0.6664515718731499,0.6703684271685593,0.671015463500566,0.6823609769076975,0.8014463619106569,1.0983858890403866,0.7194251731355895,0.67696383832851,0.7032090539364809,0.6905653961057745,0.6735970398641654,0.6424597735970297,0.7036832280892442,0.6530327419621165,0.758895824241296,0.7226990266179332,0.6399821442849353,0.6446803241786846,0.6836733975009128,0.7059818786016455,0.6692472991301638,0.6540403693027447,0.7762168933600404,0.6725287183521336,0.7430733779387072,0.6710106395120186,0.7378502999892047,0.7906788731032518,0.7526769672925864,0.9736931249322328,0.8364195121606506,0.8070904146238422,0.8752387950041994,0.6849689505106371,0.6708236035881188,0.6496879071981597,0.6942829841330881,0.6756509471694274,0.6926149193327036,0.6781203694655917,0.650723539924686,0.7095966237652451,0.6712813652953962,0.6419331500529152,0.6415679891907414,0.6871979749150804,0.6577381759273015,0.6464772645321454,0.7588417157540296,0.6154456627868526,0.786807535169452,0.8379661062062489,0.8180210366158214,0.9177125039908991,0.8892028491204743,0.8574972332092954,0.8171106807631211,0.8696810548482016,1.0208405842989448,1.0186258277138727,0.7856961986516403,0.7770016879697033,0.7512590897530255,0.6922454272927232,0.7937042803921235,0.6828494662689311,0.7040928400606256,0.7147134414381403,0.6824964739366157,0.6907649403584373,0.672026297854362,0.6557979691343996,0.6458738700663167,0.7456995059191268,0.6751168074912531,0.8447310521108644,1.1625925953106053,0.8750985970391941,0.7271974209784157,0.655545915701168,0.6604455351335349,0.6425587626327927,0.703069982205842,0.7166615882446066,0.7264755478195303,0.7782367792214139,0.7758759856317664,0.9056433124406831,1.112374345371581,1.1129771540765308,1.5635995379040177,1.689805920195919,1.529181976678124,1.1801427204888375,0.747119785938576,0.7580888098902718,0.7768626250973827,0.6909258597853397,0.6995214485665223,0.6737601498652201,0.8418781145376455,0.6784456570146401,0.8098577356748481,1.113078581376788,0.7607164706779308,0.8019613415333068,0.890658128173128,0.8624593182363612,0.8310803188675636,0.8805272930618259,1.015386790357455,1.2888889292458219,1.0502878788027552,1.3250195695815699,1.0615549258939787,1.1834605438266874,1.1521482442448068,1.0276163698910736,1.0881367190382663,1.058203933122763,0.9749718705007314,0.8964059064183713,0.9817775377508481,0.7524827177230404,0.708976873151217,0.7628646005181305,0.707403726228885,0.6329248594079802,0.6912754597931103,0.705611375199326,0.6509974144793875,0.7637464082405732,0.780610212888787,0.7753144919789012,0.9179755919318947,1.0217998529344676,0.9979323769635828,1.1684937931737176,0.9552390105950654,1.2166406263231342,0.8566155920351682,0.7717985497740114,0.8422231729903915,0.844968600011729,1.453813514629236,1.1675385783189376,1.475503844046964,0.7609899939555734,0.7017467543448456,0.789613008871406,0.7555029892894783,0.7444426468209698,0.6826270652745472,0.8313122005998432,0.8885368517861326,0.996996381149035,0.9666277234812932,1.0776970195826472,1.0828244071175905,1.0448881049476486,1.364187442841602,0.9639099424925479,0.8816979561546633,0.7862959839690823,0.7325294987029254,0.8408791559573564,0.9628096680754016,0.875822881909189,0.8508209059431521,0.7549157210462422,0.8820836172302421,0.8522937161646168,0.7910914862713924,0.9162436643661528,1.0363278555163116,0.9331294978046708,0.9516920002282536,1.1052971990355525,1.2448854135902334,1.0339953347891182,1.047751972294037,0.8805826103004142,0.8258387493657386,0.7509800508814273,0.7308148931978683,0.7946619948690675,0.6961752499880842,0.6888355035467115,0.7017376919733891,0.7265327766644764,0.6864853978270699,0.7675243607900644,0.9490600376869387,0.7963930920286197,0.8528022208938371,0.8558340288854883,1.152623311176233,1.0375745853444718,1.001365238410565,1.066324045572412,1.1544557722586963,1.1543277313191285,0.9078903270182167,0.7885586153535229,0.7330595294730863,0.9664379477925518,1.0963468537939507,1.1533016736994461,1.2998832837133958,0.9637373837599414,0.9227412178860852,0.8870044568269629,0.771408327209103,0.8560087509566638,0.9686094632195027,0.8903837620562136,1.2968693153716087,1.1203138540010473,0.7046889010608344,0.6182561123026292,0.6732985550859917,0.519232005201919,0.8104648364158191,1.0809021503576342,0.9966585107766994,1.9659913237108593,3.3114843458412064],[0.29839359974308427,0.3107016824489074,0.4878441513471014,0.42286154842461265,0.5220348762301934,0.45912679348322233,0.44716226162110273,0.4891711564639271,0.4207569496854576,0.37731540719883194,0.3816264511820076,0.5334227848182646,0.40075052049718307,0.3596050899525835,0.4323997196566746,0.43216630904812864,0.4221988626434869,0.3936083257211043,0.4374708500891268,0.4198582936024998,0.42199996012421287,0.48684744848330413,0.7239809199911929,0.7946509094292675,0.9775457941669289,0.5863808717648993,0.3825178574331763,0.37872295480115753,0.39517959034659184,0.4246134341827588,0.45004264766018426,0.5238064322524892,0.5568084761427666,0.489555461632252,0.46505549035866905,0.41588668708911525,0.4538355195740752,0.4316224712471686,0.425626729191205,0.4756924546363899,0.5239987996771166,0.4228469423895121,0.39871851263347946,0.6292381115302976,1.1837253996745187,1.889799524488947,1.8118712246846744,0.9298717932973357,1.2974627180138554,1.3130547411767295,0.9705958783233705,1.3402105476064088,0.8076524358986118,0.7966789180653747,1.2646183451299946,0.6503962991781153,0.765366246954954,0.6543450395278876,0.6719302782907906,1.1038846261327757,0.7950410788942073,0.5981663008836907,0.558911320236637,0.5434619006143204,0.521275084160083,0.46401350614950854,0.6249999750204275,0.45310794805881976,0.6078771927933971,0.5616857326642686,0.7708684693570172,0.9312804245275482,0.7212056322569059,0.6938843521886384,0.5554998165523582,0.9916653165312419,0.4471509105183899,0.4865552370999304,0.4597945233729718,0.4668317641141159,0.49913920439410914,0.5631240067836254,0.9664970959481722,0.5362973816561609,0.5667687769010842,0.48490303419296393,0.43347926178590745,0.5127661034707989,0.40245452830626366,0.5312780547544536,0.4623289620173526,0.6277422089261131,0.5461367779570476,0.5013980230749959,0.49332056493025983,0.5609703796285254,0.5974191825188687,0.5559250127639279,0.5470211856813813,0.704906179924082,0.5609519257062823,0.6641814782767432,0.5089669300651053,0.5928024071855575,0.5826092025276094,0.6000210978592146,0.8144338146167543,0.6593082253540972,0.6610253699657418,0.710865881216634,0.5504931983083565,0.47840510265157477,0.4444093367399924,0.4274691684067148,0.3838075415561921,0.397509120669806,0.45210068152927935,0.37865588125753996,0.4384167593982472,0.44231473839568036,0.38741620891448675,0.41036662063768187,0.38619943550112046,0.3513398641358183,0.3743640293864146,0.4706915385707972,0.5374912168223513,0.5363776957667428,0.6079830984991735,0.6047052902838206,0.6909205545795497,0.6888104924920083,0.6380827128359137,0.6387868918745416,0.643062648865861,0.7696711305193537,0.8297406736394523,0.5484997748101728,0.5172527275557964,0.45021117184527754,0.5062053826181577,0.5697410466953851,0.44663594522299727,0.4205634506171613,0.4092461306329267,0.42098884864767666,0.4129740361489174,0.450648114781007,0.4277708523324137,0.4754307523279725,0.6307114922003463,0.5625027465062369,0.7841700598280581,1.1788248622435675,0.8640245265320825,0.6308921984648245,0.5394967466642563,0.5435385294237468,0.4826774251251459,0.5258960607277878,0.4668811795672646,0.46095770000390895,0.45371023733901117,0.4618439137683506,0.5754623087997311,0.7348247975828928,0.765241658525445,1.1674687764148712,1.3630540944057719,1.2298357915402651,0.9027064184122938,0.5104791455605647,0.5607387779465103,0.5694478440300789,0.48013808160083293,0.5248947117879978,0.49967823419304563,0.696370636571663,0.48687218066230276,0.6337230698377048,0.8456244809386629,0.5492960957984964,0.589457612296296,0.672677290249735,0.6225838517024356,0.6047155279985823,0.5817687447088881,0.7805797198159323,1.244680383766309,0.8961058470346652,1.025013631047908,0.8250004862219203,0.907397873350856,0.9026707403470178,0.7754616044975453,0.8409774039702989,0.8516717946069429,0.7833209392310134,0.7356093653343283,0.7943130966093317,0.6157793759084028,0.583981042017984,0.6100910422387188,0.6217542594945858,0.5384216554403217,0.5512203926322161,0.6611370306516166,0.5661320599708399,0.5954143790148609,0.5860102803766527,0.6076369089127092,0.6496417360720739,0.7349690185649832,0.7215529098711521,0.9091175379591797,0.7887637800851096,0.9832850587822302,0.8353760334630066,0.7216118405150569,0.6801165295998279,0.7049144988751628,1.5478485299053242,1.0436390412876866,1.6028741059365028,0.7337353862875754,0.676084719077006,0.7116251579947039,0.6906431072535129,0.6979348078820464,0.6357798675323981,0.7465904757993698,0.8166024665673026,0.9642627442871216,0.8581877050328607,1.000033112032751,0.9499125380465014,0.9478949766491557,1.1956322824997458,0.8560207429335096,0.6973629632661456,0.6660190954077516,0.6557408343842145,0.7459583221621474,0.8477410557234872,0.7880503342131042,0.7321681072365606,0.6488144009911458,0.8163354627274938,0.7557866483494884,0.6788783827536732,0.8038085957070253,0.9349028619387766,0.7840142254994492,0.7673174194320475,0.9278776825559502,1.0515330966331422,0.7647514792238613,0.7779930322012176,0.6588629329204232,0.6422754691676701,0.614757244993425,0.6215587331518396,0.6278379668855703,0.5796281848205261,0.6113727449135565,0.6274085136696951,0.666924665027875,0.6545032372267815,0.7093443834324682,0.9039377753320902,0.793766869534799,0.7730542412315308,0.8112040680251561,1.0616228846457976,1.016264119792958,1.002471783228997,1.0457117614216198,1.1781007365874092,1.1511614172667877,0.9620468481297483,0.8259796358390075,0.7205718444416559,1.0165295769513356,1.0366097203984197,1.06595344199184,1.1455340740987048,0.8858068310129708,0.7636968002699419,0.6934646551924291,0.5707559795201138,0.6285416613477447,0.7847052512731163,0.8023011041184367,1.283134583431021,0.9389309982350376,0.5754998143544432,0.4610617515951565,0.6364569792866642,0.34207615006821274,0.6446983038329516,0.638410381628325,1.0592672982696985,1.689996460438489,2.6642016826028185],[0.3464260385561215,0.20354950380398382,0.2699202920401667,0.2773688812586833,0.2610030885034969,0.35538246456323913,0.32833092194813973,0.4352361118345706,0.3840201780309749,0.3489356636176786,0.3749922860500169,0.5453849528134497,0.3648616387128195,0.3538094296539208,0.45031191048385794,0.4254870758004408,0.38887392693614853,0.3886644171387392,0.45970738557972607,0.40568487830255456,0.4223606782290084,0.4811196670697045,0.6995340835492097,0.7849731061544288,0.8950764777152277,0.5558292428652926,0.360449573008614,0.36221443608782006,0.37820844258107883,0.39101425070842366,0.4414043825215214,0.513182484583145,0.5704610702647851,0.510339017918089,0.4564697240925727,0.39540965250512483,0.41698420301505307,0.36187131759436414,0.3312901711221604,0.3944743599188867,0.4969784184241156,0.3919066604430739,0.3427675047677041,0.6362097379217589,1.126332604237928,1.8752814632823624,1.7195613578773181,0.9294512799541172,1.327432449568653,1.2451082551813177,0.9191772687289217,1.2930389407255718,0.7885798444266682,0.6914345429880705,1.2326095526154013,0.593839245593317,0.766629595830231,0.6088759952407549,0.6407685379193067,1.047652500947735,0.7656746298410755,0.5923635315712829,0.5432611498718514,0.5461160004861236,0.5163040007877786,0.4509555443435245,0.6066592125049016,0.4438342646997622,0.620215900213457,0.5757542116412521,0.806217538132592,0.9552647067330727,0.7397292770353621,0.7001322644205357,0.5564499919082273,0.9812533817666854,0.44556450284599025,0.47429846415544896,0.44387366560588065,0.466789060819432,0.4980350184283701,0.510618255314816,0.9390279103686647,0.46082354683142807,0.5290748247637319,0.43914136188209657,0.3924347410079544,0.498062597410422,0.38056793615669054,0.5270846675838354,0.45224098944569646,0.5926297574121079,0.5339933954223022,0.5222139448279928,0.5018114533496747,0.5679517212760027,0.6073927887005027,0.549693071626001,0.5416255828874348,0.710908086349526,0.5569246240637393,0.6453297447009483,0.47600192039657285,0.5243755031814836,0.5009483846798817,0.49147853772384414,0.7586396906480796,0.47582505003113607,0.507676856901578,0.6050004127955471,0.4064017100960056,0.3417119328627095,0.3171288403016673,0.30497469154669554,0.32547165607615985,0.34394593143570173,0.48171397114242814,0.36207475782969956,0.41071786517599707,0.4583181329803913,0.39860682705115913,0.40878113515611164,0.3642156400843339,0.3204155609818593,0.3012719395451329,0.3133397106701449,0.41484380600902016,0.3326633989878633,0.37479064988711835,0.390478994138775,0.4250826912920926,0.46964124030828464,0.3997733525985542,0.5006926297862946,0.40456556977966235,0.4936505981162191,0.7430621283112958,0.4516464524062548,0.4976112043194697,0.3604355501140504,0.49482335823106044,0.4947789579211483,0.4145250518476101,0.367456798293833,0.3094550297508387,0.3493229239632832,0.32733967086928156,0.3933070384558285,0.32490414531139217,0.3944843128308845,0.5533920018758892,0.5355594707165919,0.7818488418988248,1.1633713169488196,0.8415501633870196,0.6227881516065571,0.5163078777679473,0.5129057335697548,0.43537082745257716,0.4385597724702567,0.33747742061788283,0.3602952912500078,0.30259649896226737,0.3152453290255773,0.48030331291360645,0.5797460224992873,0.5317417069890387,0.9045666753632476,1.1171817423082115,1.0244464605559578,0.6872339873052694,0.37768055915842397,0.4733384293946718,0.4384585820960876,0.3747447718061916,0.41325241181146816,0.43977872320084027,0.6710308352259134,0.39397190493697576,0.5558510736742833,0.6698175661505379,0.39477434546298806,0.4015797393411785,0.4694497453115163,0.453880632366788,0.4663183128133851,0.44435560135433433,0.7099353115087174,1.1740433914264217,0.8281875304225762,0.8794637589124363,0.6501803038617898,0.6778997341148858,0.6523278432093311,0.4973062805926756,0.5717490793011231,0.6296775797178742,0.5053357244301354,0.47637776745647814,0.5421510602027576,0.3879682429641074,0.39001956962244777,0.3822099639184513,0.42553956332815984,0.38845884973564104,0.402191731948308,0.5307372661427618,0.44248600335789967,0.4744684236887936,0.45087485663066823,0.5396201111687648,0.5342635296606422,0.5722008764177299,0.7088648433520803,0.8181538948402083,0.7739205916896043,0.9456760657963946,0.7627528609952253,0.6411144616755121,0.5648477013275015,0.5867927017727255,1.689868970051517,0.9587195393420083,1.595981661643586,0.6050753269469342,0.593200212315904,0.644853819703086,0.6428208536614144,0.5802171613940468,0.516221108760999,0.6292863475474534,0.6724710241039086,0.8183076197859789,0.6858196264373512,0.8995081533461806,0.727203966153711,0.7306931242966888,0.9335274002610218,0.6420503711030326,0.4664410521397684,0.5128006605454173,0.5696709095316447,0.6723775642453168,0.8050963728570667,0.7443972802413794,0.6503124021391293,0.5790235455406535,0.7911128418268565,0.7126120740912447,0.5866323832324,0.7351610388316264,0.8679137753867813,0.6815665118263892,0.6730584467668916,0.8221491183305638,0.9282623121637232,0.6246035531916911,0.6401221753803255,0.5515871066737201,0.5426568792743166,0.5053980090886447,0.5009285363396732,0.5122656896982383,0.45098536443108095,0.46045554462890637,0.4729205289421471,0.5270100878188301,0.48657452985095023,0.5266489890416598,0.7177667134352356,0.6667551448923642,0.5972561716966247,0.6438843073557642,0.8944891477560288,0.8641520426567516,0.8652015102556615,0.8835887931578652,1.0917316971931645,1.0582040253807916,0.8758075355813041,0.7507989571311525,0.6743807432769199,0.9352558912920275,0.889359825625425,0.892557914506913,0.9213363866882063,0.68204561423293,0.5432043102491653,0.43840038900196204,0.3248406937506594,0.3566868509243369,0.6606762784447306,0.7541497916376391,1.2854534393019912,0.8112946761976992,0.5521409219158264,0.4593669499143102,0.6078481218804379,0.3243222943580553,0.6735661636951222,0.5203612721724562,1.3178994560479904,1.7743655807167853,2.4135299658287233],[0.4621100108206435,0.2964395471746182,0.3680995782017602,0.26855818467776693,0.27068685883226135,0.38544180145297324,0.3572729706362657,0.4865967686594593,0.44798644474582483,0.37773282888208237,0.42999749101516466,0.5921930123173257,0.3981395492448423,0.37686822266892706,0.5258796172243971,0.46006974336014517,0.4323082934614769,0.4545825824912549,0.5005102007340536,0.4625909051906482,0.4705135861197158,0.5175524954878952,0.6634348796179412,0.7551386556057249,0.8666509055120948,0.5750288682780573,0.38351048381350406,0.3679103270123657,0.4277996825441771,0.4511539932405729,0.5212880620870739,0.5522427967611517,0.6267464839342453,0.5596482821702872,0.5164127024465217,0.4646120370853996,0.4768527832161886,0.4054008116366325,0.35230154782101647,0.41565257206250206,0.48970609974930523,0.40092159602306954,0.36281661425417555,0.6200362970698111,1.0860573954771064,1.8210817986101226,1.674044357025846,0.9006033532475023,1.315969602882494,1.1994436441497998,0.9046395063715268,1.3029260860560392,0.7715055447028966,0.7159805324448828,1.300480232679143,0.6384623883612326,0.8119908761573628,0.6474073242682467,0.7008624278247958,1.072350477443975,0.7930902336981542,0.6199780756156076,0.5938508779159755,0.6335199656283764,0.55112269408648,0.49675229003776145,0.6799202757944033,0.5312051658191017,0.711915976688843,0.6552731766105844,0.9161702337908232,1.0702942318260873,0.8422381191664038,0.7980732608150974,0.6135543297529704,1.1187998845108384,0.5201201795653183,0.5605135029747902,0.5121239014102956,0.5028933763891974,0.5345270238394683,0.5402859321112705,1.0013995127944202,0.5398246297218707,0.5581981051745105,0.49264155455304665,0.43884906650625577,0.5524762804970408,0.443028683826116,0.5827772073670616,0.5481322873101055,0.7138593199777654,0.6474629878264453,0.5949158880039548,0.5682950793303186,0.6636449346120564,0.686076648819457,0.6320595061492055,0.6326228251262177,0.794868557736861,0.6275105057073387,0.6933970453525135,0.5261742727759778,0.5874320938636436,0.541483035509776,0.5654407647886365,0.832294863550329,0.5355067239340385,0.5643769256544277,0.6377265347234564,0.45930551207969744,0.3785390307677452,0.35288057280241664,0.3201621252617173,0.3281965567361879,0.31159563458506584,0.45442137559727724,0.3117072412945374,0.399475934492526,0.4850740611489923,0.4010727827366203,0.40367811109811563,0.31778729403727646,0.29164548875218016,0.2827931401025983,0.28133457941724205,0.3809078500560411,0.3564207051486933,0.417928701466438,0.45564777931671513,0.4838802232168545,0.5266486353997425,0.439473992472481,0.5540059692139394,0.44510096564033547,0.5242035251832136,0.7388789983687789,0.4076405177321484,0.44908135097583873,0.32202508343900527,0.4500645615512969,0.43546538317263894,0.36921344872968226,0.32092835926774876,0.2964826050806636,0.36968604252453213,0.32258603878770925,0.41104572698650726,0.36768111892345157,0.4506212773115558,0.6065253484119509,0.6003218653123673,0.8563539180122616,1.2395049160859006,0.9161508610448031,0.6974070257027261,0.5892563565850036,0.5785251589024262,0.4884115750482972,0.47948424100348225,0.3742573220237946,0.38383953268507015,0.30353354696107604,0.3397616063576005,0.443252888185643,0.577036009941465,0.5451170937945542,0.9114134464866164,1.1356032424942353,1.0418680608207402,0.7129931266639081,0.3559199554110361,0.46324430747598816,0.4661701788325008,0.4190774816143152,0.47798947895128474,0.499134351660807,0.7504834651621552,0.4356973918240083,0.6133192493396389,0.714181048921678,0.44583210769914144,0.45143046896828004,0.5032576959115014,0.4766533995430779,0.4974397036377089,0.44710348043777864,0.6912841875709155,1.1728563464036696,0.8174164067225058,0.9072026899697041,0.6798148188552485,0.6980489295343849,0.6793247755429842,0.542603064462887,0.6192397317371361,0.6737158436672818,0.5597897998180584,0.5392263921026978,0.5961684366796594,0.4827031409022524,0.46351686893900484,0.454273094553823,0.5267955098485159,0.507204424369372,0.49887539926306285,0.6122404268540327,0.5852544916809345,0.576666852496536,0.5695568363343579,0.7018408442697949,0.6986559879316816,0.6777440419141969,0.8581517522173011,0.9799153189768204,0.9284803651464283,1.096296082987075,0.9455897325153669,0.8096927483716899,0.7445727649578117,0.7475427547955275,1.7413185249609755,1.0807623842336587,1.6925475248483344,0.6977262853703033,0.692223043562014,0.7421597038928912,0.7415793555855272,0.6768621228524196,0.6306281926868791,0.7321646770143878,0.7547123950431267,0.9112486006562116,0.7683022816997932,0.9526111152922402,0.7827061534871114,0.7929537226703286,0.9584468556553023,0.6971211751991688,0.5435678909239579,0.5924931723721935,0.6747020064455947,0.7670561671335595,0.8829940325504915,0.8236151827572384,0.7481650459053378,0.6754867981668291,0.8844207477621845,0.7792487016982992,0.6685840468095536,0.8250422536986014,0.9394087865084458,0.7541787232291876,0.7655114348469455,0.9050871206306107,0.9457321205188738,0.7058089956718487,0.7353159474977975,0.6686329738809511,0.6529629577273928,0.6128167375141903,0.6100865865340455,0.6442341707927062,0.5881446407880381,0.5826230015792044,0.6090062227133926,0.6616427266499255,0.60898189630897,0.6528219089036155,0.8418887118363035,0.7813024280029972,0.694302161111159,0.7562536448767825,1.0072091958408096,0.969289460774169,0.9763705977259424,0.9985167664139742,1.1654036713383362,1.2342520357426083,1.015283532519378,0.8767190904559442,0.8008729505366334,1.0281726973189604,0.9750424561032641,0.9884424936725049,1.000506391559302,0.7638605096556624,0.6026467294889731,0.49959118301595157,0.3723639714966946,0.4195393363909832,0.7058408379361024,0.8656848824548529,1.370454710796725,0.844040376640647,0.7167514625875008,0.6374330680041567,0.7182842934117888,0.4752406978928344,0.9882710532192187,0.6579781715813382,1.4694005476076988,2.044471370139952,2.7168133780346713],[0.44714530291671045,0.35599532335836725,0.5042963665454139,0.30830549110302297,0.4084946510274626,0.5128358843467818,0.6161304268467702,0.8386307571158649,0.7707452438841341,0.7263737297616946,0.780391277227566,0.9335612536093012,0.783041687849095,0.7374905039025961,0.9107927062296904,0.8635351094206357,0.794210049387597,0.826709594745362,0.8311667598667934,0.825348482405637,0.8106487252383837,0.8174383818044457,0.9536524088727438,1.0526017290408574,1.0792903303263035,0.8766832880537276,0.7352112260495334,0.7593219049495534,0.8242201300033826,0.8628834255209046,0.8856766834862736,0.9490089243985692,1.0169057519182596,0.9828512605459852,0.9283786008370086,0.8770416060682829,0.9065252600966567,0.8107895320767646,0.7207888497443592,0.7875187011095978,0.7652977467455331,0.7551931984557464,0.7451141237411985,0.961640308203084,1.1298323665102785,1.7884602624029404,1.5978996942831467,1.1561022149140359,1.448744878117103,1.3390019927265622,1.1576835845569522,1.3571039327764973,1.0276052076800761,0.9402388286182433,1.44163078024768,0.9585753601868643,1.1276520868428455,0.9737593181507191,1.0380364843435042,1.3267791465732686,1.0692760938597128,1.0001829154649138,0.9633478981375223,0.9736511444614948,0.8877665802834317,0.893047447603392,0.9163136733853628,0.8679226294574524,0.9750956252172235,0.9576534425852884,1.1343025598363994,1.2582497220087114,1.0738826404819575,1.0371470767643014,0.9535719971535631,1.343740211376457,0.9183966375136826,0.9593927887993653,0.9153048114945004,0.9423763480997975,0.98129587560439,0.8958354660431534,1.1788193023969393,0.9217842750217712,0.9262588997096183,0.9081441593476979,0.8538189303517021,0.9647425739309704,0.8695289004264798,0.9506186244509639,0.9419246103177843,0.9941147273992517,0.9790746502959013,0.9853578177645632,0.937285571593473,0.9908026940117755,0.9746076146303506,0.9856381535250388,0.9914467249722175,1.1400730877341514,1.0364354871132726,1.0713207563846818,0.9524502354485342,0.956647253239491,0.8527815472953483,0.8458910710364217,1.0553619785987312,0.7256827457419511,0.7255122585017771,0.8237870540461333,0.7160421590053416,0.6954238460762138,0.7056398378097737,0.6395377484900256,0.7008107300872559,0.6239801612963125,0.7807108232157921,0.6156163508667952,0.6802062884529886,0.8161879453624616,0.6967336324189131,0.7069063930368853,0.5650582946691067,0.5915946369086813,0.5901325313844319,0.5443585396535492,0.678256775487673,0.5733042541480126,0.6250331770790281,0.6629618018349502,0.5738941127802194,0.6650724480011706,0.5986859831559894,0.7611705192752601,0.6065392309738467,0.6297410888466053,0.7943328803365957,0.6348893366310285,0.6409189428849176,0.5717104748258143,0.6776416963345641,0.6370598679172361,0.6685221197431646,0.6481507955291136,0.6573027898039123,0.7430653924000384,0.6845531324545487,0.7967433554983171,0.766005798232119,0.8241288177837462,0.9198676627982633,0.9672510001277111,1.2258266123208503,1.465337679556372,1.1869544825022458,1.0918350622583053,0.9849145686050107,0.982487437467923,0.9030769639819037,0.8629450648825047,0.7240871107847785,0.7532701269870009,0.6390905130793583,0.7038188992376143,0.6870096648426834,0.6192747821237519,0.5840940469015221,0.8328008426793357,1.0576702793977946,0.975443235648476,0.7233314674295427,0.5933755789302037,0.7047040051780732,0.7627742129981444,0.7998251618895577,0.8149867752444994,0.8812878571681052,1.0102935225176528,0.8030515980009836,0.9178169405122997,0.8719076915703495,0.7516954648773589,0.7022937811694595,0.714098940907783,0.7017471686165345,0.7656913470308172,0.7404737369671195,0.8603939776938124,1.3395245715718709,1.0415491248887354,0.8567576742299325,0.7286586710866114,0.7459340001556722,0.7260410259143917,0.6032158200243385,0.6425632097442079,0.7084774458654092,0.6371465276134464,0.6131533614203979,0.5968796337524243,0.5835506745813821,0.5633779893396353,0.535256358895708,0.6403532886308746,0.6495927739121183,0.6063560500327879,0.7534083371112146,0.7854496064301395,0.7100499553690209,0.7739658394211393,0.9694487030016878,0.9795752855048825,0.9131220154413354,1.2207895083699483,1.2481861273517667,1.1853498018903739,1.3317396718062295,1.1611591107064114,1.024115475958468,0.9831130959717554,0.9532327173774233,2.0045973208492103,1.2232544545825959,1.8164301133355039,0.8313864490367777,0.8241719374115335,0.8289623772921484,0.8511925574294431,0.8047759028041341,0.7834156135663617,0.8245272181826724,0.8300460893877973,0.9997275270909162,0.8496764664749138,1.0373839661872901,0.8421571304228866,0.819966162266967,0.9104824328640265,0.7663279172685239,0.6403611893229806,0.6742075837173236,0.7712364539737697,0.8329614828663044,0.978740427010122,0.8927634850886208,0.8263922910519191,0.7812012213684026,0.9725137865929541,0.8489809636444012,0.7161978655008975,0.8687017244007142,0.9591732501841791,0.7745916699405616,0.8240716675228752,0.9337653892280485,0.922670501316106,0.815272003142825,0.8374440478194718,0.83028329647366,0.7720194420102465,0.7253518774344856,0.7366999393400204,0.8060684870354373,0.7624404325681471,0.7248833148899082,0.7834512622185938,0.837453054570357,0.7615746905682655,0.801282463383071,0.9474306758344871,0.9195896024440715,0.7818302751105991,0.8789802128148819,1.055315455356796,1.04576438831461,1.077175810826099,1.1148678385261679,1.239364213424589,1.3750853263716318,1.1590438447745997,1.0440457524948632,0.989975086438939,1.1108424468594842,1.0391236918080744,1.034190864678917,0.9734402532421557,0.8219208913244004,0.6687312442267751,0.5786237101639232,0.5336162483941151,0.5108488827614188,0.6076347275363833,0.7515526650596388,1.2646005452455025,0.721281303319941,0.6631214361246041,0.6767314521977406,0.9840074752221295,0.445621003965894,0.9173389497889411,0.5824703053469683,1.5285387319745791,2.2761872557515503,2.591317657594406],[0.7565514622001398,0.6532225517535692,0.7000901608737171,0.5092636097146865,0.5514986738104877,0.5519732823148683,0.5618734622081106,0.7460943004088024,0.6233230760655213,0.572603740450715,0.6475456416801604,0.8424845263455595,0.6674550885746382,0.5808770773771995,0.7935001648731319,0.767843248450304,0.6726581337295086,0.7153728120687832,0.6950105288202428,0.7239040212484952,0.6863822518042189,0.7144752295003058,0.8235253397436233,0.9388431735433421,0.9840637367606088,0.7579356569779939,0.6271597570235053,0.6334857301569153,0.7221656618164471,0.7895570059222853,0.8218821846383773,0.9133229380547897,0.9885828637227316,0.956114255845464,0.8897299065975441,0.8114440572793148,0.8659564409393723,0.7517336725271653,0.6835600226499968,0.7974122944906914,0.7202838149295334,0.6770174363993686,0.685112316323874,0.8721298606517285,1.0616037306703465,1.7522016754414609,1.5619913269119974,1.0678174968028622,1.4035805945939768,1.2832291374733307,1.1096470909200256,1.3607903944237942,1.027635788717322,0.9324631143562602,1.4891360595737066,0.9519632803590082,1.1002904773222346,0.9324195387678661,1.0111625370966704,1.272681412696503,0.9805360599453331,0.9373355789081538,0.9239225307842369,0.9190983598390646,0.7915361485968272,0.8041299403415412,0.8438814777639092,0.7783707308663165,0.8793661532603223,0.8522348701990704,1.0857366863997657,1.2071515324730724,1.0152995436478967,0.9688553793681361,0.8730092137155313,1.3254683783708059,0.8496493087405522,0.9083753269777308,0.8856405316798486,0.8676808968204371,0.9430754286763293,0.9039963033550715,1.1785067383543797,0.9663814802527593,0.9224578152141016,0.8953162426605895,0.8105454864745005,0.9121914092367415,0.8033487651551788,0.9224651289381114,0.8870952642174578,0.9587269040004345,0.9523102522857774,0.9625700458165772,0.8892361227969529,0.966235618173267,0.898540026671029,0.9551247796407882,0.9671144387942884,1.178712416127928,1.0250653295018097,1.1045170701829912,0.9493201466486355,1.01104329978023,0.9790006930442995,0.9278504390862828,1.1734629339346414,0.893386395419672,0.8789531980736844,0.9098992301865829,0.817754185422231,0.7359555589231649,0.6595360201636763,0.5944706646713881,0.5956234799972967,0.5173576978016721,0.6349042063513545,0.5001288843838018,0.5489164796272707,0.6522858834053679,0.5505049723498906,0.5485035986241062,0.4365536861094266,0.4649878405191104,0.48649818644400705,0.522683677654974,0.6973217648187272,0.6459802237136338,0.7321249129315665,0.769035747902739,0.7599079153968827,0.866016643514304,0.7697030331530793,0.8758975104704336,0.7268382525354138,0.7109980527112881,0.9187282717013259,0.6931195904150955,0.6728130917116195,0.5642040684691353,0.6326966136812551,0.6039313129495445,0.5972004877667694,0.5752902558539439,0.5901152970888148,0.6645493511473399,0.6052934685849052,0.7222441802232208,0.7128870945102046,0.7433601217630057,0.8956925328736745,0.9136193843319835,1.2874519862152816,1.4891359602609782,1.195488065096962,1.09375011288608,0.9465931819080162,0.978640664989218,0.8758414865630298,0.853891784063462,0.71632438484368,0.7125947438729971,0.6049416427654941,0.6780975902944276,0.7453925034120117,0.6761460217737713,0.6899490752846769,0.9308424866898519,1.163783508010101,1.0576949608368569,0.8239519161739455,0.6416845826380998,0.7374022981329557,0.7676703836741585,0.7856561681762416,0.8474347431886472,0.8648307382866419,1.0539045880624156,0.819693172820476,0.9919472756996547,0.8831481046797699,0.8153222655509115,0.8084320416695249,0.8166366842293894,0.7797503833134458,0.7885835928982499,0.752280996931853,0.8630861706051812,1.2908317869767518,1.0330597147376364,0.9258549321951668,0.8181769411545581,0.8532006532891575,0.8552981342595376,0.8035731174925196,0.8512469007763158,0.8698231531456386,0.8447634454272688,0.843375352361425,0.8302334776806761,0.8465068687506786,0.8219543908873475,0.7846318666358295,0.8905580106699561,0.9155704663062295,0.8704608359933743,0.949767493317261,1.0106147004284016,0.9554890660662901,0.9718708075061091,1.1305673420350737,1.1317055119117443,1.0492089879955444,1.292004656947408,1.3805781280526792,1.3474367477682405,1.4898359133129642,1.3643941410775562,1.204533587184926,1.1801426560900994,1.1610681416794526,2.1306988277933745,1.4116412161372922,1.853939395360141,1.0380076179549285,1.069105372963354,1.0763948504014442,1.1120875283588771,1.077372334363709,1.041817643117031,1.0575773920065679,1.0603712218741232,1.1994597214072271,1.043916731243084,1.1886991673693845,1.0714118497663878,1.0452989144561853,1.038048443863586,0.973252698053891,0.8827990141526545,0.9089224264487544,0.9850917315869934,1.0361071130663153,1.205701405828672,1.1134357703881728,1.0320619048590287,1.0426214468125363,1.199465679697186,1.0552845165493256,0.957091463551442,1.1092968527353715,1.1714863097325103,1.0028987081816172,1.0622736514814677,1.1524597517531792,1.094850060100533,1.0142368775419028,1.0412016485451832,1.042362306993072,1.0093286806331259,0.9790250802716556,0.9947689844311471,1.037309400863261,0.9893063797306662,0.9648652081808745,1.0037880999917153,1.0384674263331213,0.9958571060346215,1.0348768300815547,1.1229442093930955,1.1302328430319777,1.0351953257687536,1.1030949410630662,1.2985373366265847,1.253840646085323,1.284941022190294,1.3399428146458534,1.403779200359454,1.5995673882239618,1.3655514501975525,1.2331129184365484,1.171171823329956,1.3072078080963723,1.2245623492075124,1.246798796103393,1.1284737634078528,1.0101487959281732,0.8683543826828206,0.7860353192153564,0.7031460891600674,0.7080893534656816,0.8248930652566795,0.947236101850982,1.344832485845343,0.8359161175834436,0.856454921059878,0.8599732732545845,0.9608703943925616,0.6246261821052238,1.0844792587062468,1.0491525790426894,1.7755787738340665,3.0585021594590143,3.4235461558094946],[0.6135684465823844,0.375135109327198,0.4852500353907475,0.3117063676407957,0.31306128483977747,0.3734089987596928,0.3059918893681844,0.40506896439863876,0.3947098880483762,0.39488861393045666,0.4691861539395511,0.5899930137755219,0.44049779763736924,0.43276418350935286,0.6604362225445151,0.5490654793973717,0.5059851814613577,0.570948845672814,0.604448289538577,0.5744158290072972,0.5824624283565913,0.6046704632548189,0.6827875571268144,0.7861464616750875,0.8191720837464518,0.6251202539775051,0.4754815838056114,0.461917821590003,0.5265077431186707,0.5494196495127092,0.6307935235469478,0.6274929031432805,0.7090664226312053,0.6735381573018993,0.614491183902612,0.5752006319199404,0.5706447297374914,0.5079136120294353,0.44390611715130135,0.504047426567163,0.547021066677978,0.4935757993250861,0.47581394479614464,0.6447379783469369,0.9817485684202101,1.6965704558961259,1.4874484064415001,0.8669620557816111,1.3067029029204196,1.1262439902819767,0.9238211025740172,1.2528069433961222,0.8270158295488865,0.7225132963103011,1.3783810914544594,0.717657633829999,0.8999759602379264,0.7046429111157604,0.7871037635381631,1.0802473065557405,0.7860824404275598,0.7353332455497907,0.7557271777799138,0.8160131019587576,0.6438302127700671,0.6267689791569157,0.7997903765986588,0.6551951493652114,0.8106813385393468,0.7673276684061903,1.0331039552956254,1.2105406283666877,0.9582838084452524,0.9043009046172868,0.7279829796498574,1.268199773199209,0.6504652775190509,0.6719029710613316,0.6248438322795656,0.6155436739526666,0.6472735267801958,0.6137628033493459,0.9955454853414564,0.646298730042077,0.6434104223938373,0.5992936159208443,0.5486720681435344,0.640580485888025,0.5638434222715742,0.6935177089666912,0.6624488130668609,0.7898844548035324,0.7459845427440549,0.7123887249056224,0.6670820341297072,0.7742318784246401,0.7427580298188996,0.6904296361170262,0.6858876044473029,0.8588853393560156,0.6559336994319891,0.7299134825005335,0.5572751481977622,0.6082267196618852,0.6235990423509222,0.5918086182057037,0.9160814376315743,0.5437647313785342,0.5861622485281617,0.6524941112613446,0.49636567158894934,0.4016249633748638,0.34192638096167877,0.34959026368110274,0.4118176061313513,0.3689721443459195,0.498342467017929,0.3743945053110192,0.4651929622667448,0.5575693622632026,0.4613707963418308,0.4449741024869918,0.354759534088882,0.353428011509167,0.3306712056667568,0.3069731654081541,0.4416626862408086,0.3905033672049853,0.412161830306466,0.44664064279589744,0.4644926226121564,0.5448943532414439,0.45158700026242965,0.6086701890728599,0.45471607538442654,0.4839950626315778,0.767947876501619,0.4693928181647285,0.525770500329883,0.3817938625400919,0.48694438591178874,0.4611376976726102,0.44407214789927707,0.3856291143915871,0.3693783791798261,0.42499030395801213,0.3691532540448963,0.44609977735772466,0.3938310261430625,0.4467513071621352,0.5276319844068244,0.5508616033268507,0.9093880208583034,1.2000435690385176,0.872205280718496,0.6907722016261251,0.589936853617249,0.5838857644181549,0.5190610869313249,0.512322977515331,0.396309116452474,0.42743188875177884,0.3449014059551416,0.4013952269326051,0.5326419774070431,0.5346169547140801,0.4931257199592271,0.792370874327413,1.0396971323826798,0.9734522493165365,0.6779915896839875,0.39137125079254365,0.4762313925603723,0.4633104973383303,0.42832867057006146,0.4958417601273022,0.5226693210671545,0.7632871724773483,0.47310301809998667,0.661877952140557,0.6358032416034328,0.4639467939639255,0.4647826941961818,0.48757078308387475,0.4843450747229176,0.5119079178398065,0.4752666997067177,0.6852540084535729,1.1452869466931006,0.7668077734441116,0.8114212073367632,0.6695017545446864,0.6284042815130112,0.6146262992634292,0.49750793892519135,0.5672943882842438,0.6536628463474446,0.5539783469607873,0.5597234099271294,0.5351264600229627,0.5618105360857537,0.5469949386595424,0.495597954357187,0.6216339307710276,0.6651854285542658,0.6257769775388357,0.7112119622594183,0.7688928303584567,0.7582404202260901,0.7590712115651577,0.9173316909071911,0.9585473356476254,0.8981193571117808,1.1095645158305123,1.1913898897095283,1.1183813073504978,1.3365058308253561,1.1344485584420603,1.0069111827128348,0.99807387492913,0.9757889571914737,2.0446941355751016,1.263644626118942,1.831350943730727,0.8748141123441755,0.8837981841217467,0.8693755331341414,0.9103916212260081,0.8385759404881344,0.7936876549723703,0.8128256782504664,0.8268538886722101,0.9956782826693743,0.8189316414522823,1.0057543478951418,0.8286019530293987,0.8251203445728602,0.8901896349883565,0.733102307261318,0.5825102526087895,0.6450605848553853,0.7596911995687066,0.8276360474003118,1.04280191580277,0.9346488837594832,0.8240972848371013,0.8550590447505354,1.0731177128545664,0.8925308751913685,0.7828328065244984,0.94331349166576,1.000164722666998,0.833355266431782,0.9213077165512397,1.0511995236257905,0.9852602756397856,0.9020870657639083,0.9431922252974588,0.9028634381888706,0.8657777335676966,0.8075470908094674,0.8109910859766857,0.8746219233262099,0.795490846875909,0.7639545298892351,0.8104253777227254,0.8452726672552545,0.7575750705253848,0.8142655475972651,0.9569299148328875,0.9074191672507911,0.7739117699084107,0.8705917039100483,1.0741214101450471,1.0234235356679762,1.0504041938928534,1.0836640723186561,1.203502692123823,1.3685050459486745,1.1271267095805497,1.0000961576662417,0.9279564704178928,1.0926922667704098,1.0221130711196038,1.0305979937524534,0.9810226668632308,0.7868745647509955,0.6204016172272674,0.5193260675856977,0.41744305218035205,0.46240356963979795,0.6784077965779458,0.9364193806981767,1.3763785044912384,0.6669052599025949,0.8607806704450889,0.8696028703118148,0.6623168974994341,0.5194091240246691,1.3313893334538263,0.9715838349189603,1.9009631633300972,2.8929450193424397,3.714787232512252],[0.5522684590331244,0.33501177221942097,0.43521509388981,0.30844057849903045,0.29194291460966115,0.36965506044945834,0.28795235552054155,0.38543941948605687,0.35075650745295783,0.31374591776139527,0.39270143642418065,0.5256750543186053,0.35108756309901795,0.34589574486260405,0.5440368386590168,0.445527861751706,0.4132315049029072,0.44903364261784795,0.5086025026436075,0.4651049203229276,0.47992489119567117,0.5197372015337576,0.639446500633542,0.7334342328532896,0.8285872931962961,0.5811843243736956,0.3912791866496909,0.3648560285011761,0.4221896282449415,0.4481337857866497,0.5137550290397234,0.5588367196463515,0.6190009701371856,0.5613962759912292,0.5240161327556464,0.4642339209081886,0.4717065538801785,0.4004499213347856,0.3546060727225345,0.4192840135848402,0.47981492608118154,0.42786863960656213,0.3973367619066802,0.5809746289044571,0.9913048881660478,1.7044258304461681,1.5307591786823496,0.822306031476844,1.2594157965595318,1.1241378426428612,0.8945971998948381,1.2657780591116938,0.7793043259588479,0.7265374066019122,1.3743660999152958,0.6451752961547375,0.8123634517114924,0.6653636849296978,0.7153449939414629,1.0417887468425882,0.7554675758211857,0.641632143607831,0.6350632897402411,0.7186158071565504,0.5579264492792454,0.5255237631996291,0.7198575487656813,0.5493701455741167,0.7345646247689511,0.673506391189831,0.9553602540494501,1.1265211242596487,0.8612262311040023,0.8083814863249116,0.6261987267806012,1.1768344744709622,0.5411704500013762,0.5813807048198474,0.5296625786389082,0.5419187281630881,0.5579706655385854,0.5503745559838297,0.9918262218965908,0.5673931351407304,0.5713677792335886,0.4893577831221375,0.4548026515743179,0.5480841852121683,0.4561978841570644,0.6167609224902975,0.5584700300540032,0.702312819669499,0.640336865600763,0.6021809493325788,0.554021007386743,0.6628978559397214,0.6521173499457802,0.610412010488373,0.6020783032316543,0.7927310588434313,0.6113330501746531,0.6819079508622846,0.49537562069117447,0.5628044110857492,0.5941649080066601,0.5736514316187066,0.8601653662576798,0.513594726149133,0.5525291395947917,0.6498920940337694,0.46767214094994414,0.3594674379657408,0.31145945177866646,0.32508363679252483,0.3463625695777709,0.3168138275536761,0.4264877376777148,0.3021450402166403,0.41441177381940275,0.4765424117755442,0.38705262077312613,0.37927609798662015,0.3034941004964844,0.28210846152055524,0.2749411943591763,0.28278487644514205,0.3978034874403397,0.36362579445459214,0.4054778423166546,0.45057078327421385,0.47659263610408115,0.5422099830508768,0.45056539307442856,0.5867914783152791,0.44904889371796913,0.499944195267674,0.7550548532044521,0.4250803233164475,0.48660689167940924,0.3390423087117613,0.44114554937323897,0.42987652247435415,0.3937921129526196,0.31742104351119416,0.2996080648905043,0.3504373750793745,0.295145106764634,0.3907907378525538,0.3448511650520141,0.40191253008031524,0.5179457776435052,0.5280266238885174,0.8469780955907372,1.2330991348163818,0.8659847157052385,0.6398657804601111,0.5380008343695375,0.5336698207109151,0.46753007466575897,0.44742939638119,0.3609444207568215,0.35843819290364254,0.30383670317971617,0.3325801447301634,0.48870300706338066,0.5521936362770127,0.5188859466406529,0.8389482771570508,1.0775966161457053,1.0068151145646158,0.6973596853265696,0.3585804936040214,0.4539998158464709,0.46031564253081053,0.39542854281814066,0.46685625189924584,0.4684169698161314,0.733332627441699,0.4336324520995822,0.6369357358000688,0.6571023470816233,0.45323579638692385,0.4616777883668543,0.4897335334354975,0.4726153451421693,0.47380328144576495,0.4461783403060598,0.6362180999327849,1.1402063523870063,0.7489485586693352,0.8561062260250124,0.7108974909479822,0.675032543197812,0.655657295023867,0.5196744191857586,0.5763503508053697,0.6606192608801028,0.5432253389588165,0.5436995899180942,0.5674952243157982,0.5278844926801418,0.5088561851914747,0.476246802079441,0.5784135062756063,0.601550046696215,0.5789094783058564,0.6645707323945179,0.6897442749204019,0.6880322930296477,0.6826832726991092,0.8200277504233504,0.8487568803961532,0.8069184501898257,0.9901001629841684,1.084666650141848,1.0171125338548963,1.2102219488834207,1.0256891634519893,0.9031624695986615,0.8725015322366254,0.8659901879796625,1.909772355026392,1.1793096375148133,1.7648709768048079,0.7894675463530041,0.7844998191515266,0.807576644622829,0.8402895572537067,0.7579830535906208,0.6993675047450482,0.7454297777680603,0.7732145603749419,0.9401554863181327,0.7762461893761552,0.9779541043128932,0.8013266220440141,0.8092578134351491,0.9562290584746338,0.7319456742223609,0.551032314077127,0.6012373595724075,0.6948212310546252,0.770629423744065,0.9575913524808618,0.8714440445370676,0.7699771368686155,0.7795068893518684,0.9991892477400286,0.8402972283499686,0.7449569132526631,0.8993211696960052,0.9758751363834727,0.7943175208453961,0.8525727206761169,0.9940244381862643,0.9607434054316271,0.8136622820673093,0.8552682011859222,0.8088612138265244,0.7760972059982368,0.7241556989308691,0.7206214153184479,0.7701291669996515,0.7027985195075857,0.6706380885829687,0.7173109001305605,0.7619758450544136,0.6835629526216119,0.7262516653523812,0.8962982762116419,0.8372370654779236,0.731553747030184,0.802284092174537,1.0257176197550877,0.9894616448300869,1.004258424930913,1.0298260197310898,1.1672951841249388,1.2910806868896951,1.0583154975670042,0.9263354143499934,0.852620969380852,1.044671536121222,0.9850921100390044,0.9980559493610676,0.9822126912042333,0.7662111279049664,0.5985274112102028,0.5102501687726712,0.38486990878612626,0.4302115237795615,0.7067585368721258,0.9458527480219618,1.4259916366753131,0.729171968040362,0.8502293995651341,0.8656733077649854,0.6608278865609686,0.5814781300601197,1.3197877406014429,0.992734538587941,1.954909373544051,2.6783639257936374,3.4273917162573753],[0.5094729529565477,0.3235989345572777,0.43484837106249463,0.30201230061211254,0.31658310465268463,0.38707824321017126,0.2944153337563329,0.375545623811845,0.3323600551472926,0.29547604849759496,0.36607779729820644,0.5128004327152176,0.34290447545969394,0.32592522733971524,0.5476720037030126,0.4467294235312338,0.40724443616868,0.46401854773486456,0.51938072642053,0.47939848261270784,0.5053474980742736,0.5402884405807444,0.614324970757073,0.7154933439361145,0.7932081655259643,0.5698250418105517,0.39258062207467825,0.358978283642048,0.41854819773219215,0.4491468802567363,0.5248785115266219,0.5551525019529816,0.6193893430770947,0.5701880530159522,0.525208947245622,0.46804577272917597,0.47299954176410036,0.40660464651978073,0.3569054415263714,0.4083293338863819,0.49706937390289946,0.42645911687040816,0.4039923022586103,0.573930931755058,1.0161533047708529,1.7023170643267809,1.554090093110291,0.8252362596523637,1.2732952071732837,1.1372039041068558,0.892167011928129,1.326228010974618,0.7700645246342287,0.7499841800473162,1.3653908263528312,0.6328635129774828,0.7928584126042927,0.6854392015873128,0.7156665790326063,1.0586793345905614,0.7207867324178169,0.6454776543937537,0.6537269669769504,0.7638192230250417,0.5815992643991627,0.5456900889232433,0.7539450447753284,0.5833692521392807,0.7537080348916876,0.6930564841644271,0.9705475369870387,1.169061199039518,0.8980358821675154,0.8727300080082857,0.6479175960271917,1.233884800473308,0.5693364203893453,0.6012434650226972,0.5407376192912003,0.5546891930730827,0.5518177031450987,0.5541158272473344,1.0046484800484738,0.5590913637582094,0.5897412862455665,0.4958157402115658,0.4585773392080952,0.5496087934612268,0.4699952339602057,0.621107693695573,0.5737274204512107,0.7134780235905437,0.661530087040525,0.6163170012968715,0.5673969823936917,0.6755012420526229,0.6487610504246761,0.6039704897020625,0.589096229748164,0.7816660492340428,0.5971387629645392,0.6632164616781765,0.47575196187965485,0.5368429165454086,0.5783085220793215,0.5560075533842085,0.8429122923464585,0.5000739853962465,0.5452112852846199,0.6485959320436501,0.46102941241788553,0.3465067249182806,0.3005345357191213,0.31897955190195837,0.34668209085063584,0.30410058803038426,0.4062575017668516,0.300118896512688,0.4281520464595759,0.47410007758933737,0.38671955617792014,0.3822491360442392,0.3001947788821337,0.27663516645522196,0.28350515974998447,0.2826311400629005,0.3890413474024357,0.36618783447649617,0.3952557289157392,0.4431077824601084,0.48408845772086645,0.5364171102797284,0.44832396142457615,0.575529267287534,0.4414926948245373,0.5088625003737213,0.7328930996811723,0.40306286162818333,0.4817147508666189,0.33376784448854396,0.4261653403571262,0.4417433353777542,0.3991903189254114,0.3114930837881062,0.29548160652325084,0.3440133985929147,0.2914080632215209,0.38037744998136763,0.3345341183852526,0.38962658482836415,0.5050240320186806,0.5129219419670744,0.8552346709805423,1.2934776513103177,0.8889792779721061,0.6175991593575832,0.5154582846828043,0.5115230577462655,0.4522843027804341,0.43188517736499893,0.3545763328283668,0.35319256243132924,0.29877526447670494,0.31668035836710806,0.46889592549848613,0.563416807441891,0.5268698538226321,0.8535828658913117,1.0864644555519682,1.0159478265162651,0.7010047144691192,0.3426493278791777,0.44887972508180185,0.4434378398954468,0.3803013366611119,0.4596780862684863,0.45558169739217086,0.7234781309012256,0.42866154413928054,0.6071463603396661,0.629777900104359,0.4376006350206885,0.4511483188365867,0.477111824667254,0.474228894651399,0.46145248990045296,0.4175845996084033,0.6355675339007779,1.1410294716812772,0.7429495463475156,0.8921623846000883,0.7350328849360585,0.6955774586515914,0.6754129936455082,0.5373494566013002,0.5959696528465097,0.6717858274332265,0.5509521309961807,0.5530805425822433,0.5773775590524203,0.5334896642452619,0.5158690587025387,0.48025218148018206,0.574895174821691,0.6026094918650067,0.57985089327296,0.6462068724983581,0.6786224459856482,0.6975822782874946,0.6640835388539805,0.7961910979642111,0.847663693416346,0.8045764600932459,0.9269855807226737,1.0648472742472777,1.0013680288888147,1.2109863831023717,1.0320604381891783,0.8988604885485173,0.8806050216607131,0.8918386051518317,1.869018331071203,1.2327800160647282,1.7774492393460328,0.7995145138134103,0.8028408048191314,0.8265819202874461,0.8466903450397871,0.7765564800536721,0.6990638302586887,0.749344427175769,0.7756130542847991,0.9475124384444121,0.7792280038424672,0.9594680612567115,0.821700139874135,0.8319302914168738,0.9840294004477254,0.744000303077469,0.5540584376698464,0.6061608363339102,0.6964534554397244,0.7826945664561759,0.9878872315337985,0.8871170838008164,0.7840200081786829,0.8093715369278028,1.034370081363031,0.8600369774444264,0.7662257402074434,0.9376426069874642,1.0106897009681939,0.8200673061945778,0.8952302232891105,1.0492098190090886,1.0003376979236998,0.8511980899664936,0.9096298418935197,0.8406296412559284,0.810606946755231,0.7490653840907538,0.7432942511498296,0.7930349888689573,0.7093532898006423,0.6791949320248427,0.7264120210080856,0.7624187608248727,0.6799868136928835,0.7297172707614739,0.9064189785038733,0.8399937419325736,0.7402721395492113,0.8065956780169549,1.0706352038308968,1.0157622103072035,1.022045631532286,1.0605234816544313,1.1769685549820161,1.3397913851232444,1.0754836141712272,0.915560366189057,0.8301921115073446,1.0530950404173354,1.0020838622606343,1.0307016889172744,1.0187851039141274,0.7796015282642902,0.6095080094321514,0.5179918862813012,0.3901946458512822,0.4429095720763362,0.7024647504574559,0.9366191218564971,1.4227206749627417,0.7158182233318215,0.8428231999686664,0.8733396561707478,0.6687941653443774,0.5795616164010259,1.2874681237404615,0.9857100311919251,1.8297278513138442,2.6920053086996685,3.5830757772619197],[0.5012562604233595,0.3494289931534368,0.4283532540657826,0.40897699313610436,0.3530103149752852,0.4350229592759363,0.34634046569475035,0.42028230594450766,0.40134725644770425,0.3483531759936747,0.39131713851521877,0.5275204045421304,0.3787107422066593,0.3613359382545254,0.5590497739717402,0.4689306453060477,0.4446713412839096,0.49541900670909755,0.5643015580216818,0.5197203974952143,0.5549962001637294,0.5848039347513155,0.6466378203556277,0.7254506264068513,0.7996237450190321,0.6096756936518638,0.43989462756016967,0.41435741624703226,0.4548980978357606,0.47930082553941544,0.5462583088143382,0.5664172561260598,0.6344182597057682,0.5841852785605038,0.5461144318521629,0.4981670990228309,0.49949485817359157,0.44888897727200777,0.41333475994821145,0.4523578875051049,0.5369575805746555,0.4862686468210806,0.47138338353545606,0.603498744501664,1.0294990708909668,1.6714363243945904,1.536084109884974,0.8491518703627756,1.2790552278778462,1.1501119665415944,0.95616455643537,1.398124768547784,0.8009493004696048,0.8221575620542455,1.424515410698536,0.6727973733411989,0.7810422295113598,0.744137109130358,0.7371653372539767,1.0742426892057586,0.7345464648365214,0.6658045450868914,0.6794747883772858,0.805015825709133,0.6394654270633566,0.5844084015314217,0.7857424021432515,0.624137987516938,0.7829426710357856,0.7169462795341878,0.9923943318168036,1.1817568488774686,0.9139070236472688,0.9145384419193578,0.6632799841666278,1.252854642135214,0.5963324997251478,0.6183253942235701,0.5696232470345012,0.5888122453614315,0.5808810315477628,0.6039741299852431,1.0489932833689686,0.576043237460537,0.6425049278984108,0.5284436543051605,0.48558538647685345,0.5752787637877967,0.5043906950392747,0.6340977648183275,0.5960714924677433,0.7238519289326355,0.6731520749947837,0.6164538245716189,0.5747287803907156,0.6611486250313988,0.6520976508680214,0.6099550344659109,0.5945979935545199,0.7705560159119749,0.6045409621666006,0.6379873407818099,0.48830229592773855,0.5321482601704141,0.6018020543563257,0.5494777522973529,0.7693928521838366,0.48905176090204533,0.5286033027951473,0.6349214342154237,0.46017422423224347,0.38085874504988826,0.3421226795660742,0.3671471324973006,0.4002719176294422,0.3485919669211757,0.44081363946348545,0.3454234318296937,0.4970184668258088,0.5124626353391771,0.44707230672593457,0.4320791862435449,0.3446713671849905,0.3148401980168686,0.3346537655765425,0.327018668897008,0.41175319737219684,0.38548046485924353,0.39988198463248603,0.47070125040460975,0.5010759837803289,0.5340624446894714,0.47240081962167657,0.5956810593670587,0.4817927544062282,0.5473645015268558,0.7648868917467608,0.41747071579867484,0.4730354847899084,0.35418891452178836,0.45106348808185415,0.4712264957326598,0.4480271289677281,0.3671101602665698,0.3527124108811144,0.3913618313523645,0.3425091267614315,0.41546864157940727,0.37953980766872936,0.4140236938383656,0.5243590743101594,0.5300314451347751,0.8298732277225811,1.4091145197199413,0.9656312754735209,0.611421165839466,0.521824580600287,0.5179928797547282,0.47319552051787345,0.43851528800606665,0.4164347189695576,0.4063118852931899,0.34492113976421074,0.3626851453792519,0.48459640402640863,0.5570583909531693,0.5329690863439136,0.8197163897637908,1.034295662469236,0.9916037972236915,0.6895075087538294,0.3639350698039887,0.46921051336113867,0.48204326000335895,0.4200998712002245,0.5014431500519957,0.48215530747940494,0.7387985808000347,0.46351312055607863,0.6055140663725445,0.6547129500000055,0.46357944944245266,0.4703894259590946,0.48761820659997485,0.4971682815096155,0.48772009121540727,0.4652762569063081,0.6718014571654604,1.1601355607658612,0.698303460245643,0.9412264259163479,0.8450083459717364,0.7344119353525926,0.7060635121219679,0.562402635757637,0.5923243740090159,0.6823042362758946,0.5318742636730068,0.5251182629199445,0.6051293266159845,0.5081698946322639,0.4953667783957162,0.46911399560709266,0.5425573652919258,0.5627767087367148,0.5573138351615182,0.6135155242671386,0.6258301992986035,0.6597074689838331,0.6417662382369759,0.7416833011819123,0.7928467593605932,0.7779202283855341,0.8917474758996029,1.0054422898880786,0.9162708928772209,1.1495900979787785,0.9281702682790526,0.8156990502875252,0.8056823714346405,0.806910852731202,1.8654424256231363,1.1167433172620915,1.7242813805460144,0.7527826180663159,0.7621902346990616,0.7858322021218059,0.8134745565957666,0.7141812128333478,0.6363658043613089,0.6972418628267301,0.7152450066802778,0.8471830642658751,0.708365072529157,0.9727095026992919,0.7487059554333557,0.8122982071331031,1.0239018036390752,0.7190362054827791,0.5425573482905016,0.5945771068689449,0.6782469558249651,0.7772611768148112,0.9280212725150195,0.8770678756897339,0.7531394022226062,0.7515129938705964,0.9895223727708131,0.8208439156388303,0.7240684901347643,0.8739233057368819,0.9421360217630811,0.7765208381626485,0.8342295504109017,0.9833542723203544,0.9440856135293869,0.8046659033491246,0.8481697886026032,0.7859618159158055,0.7531925972938195,0.697804799598689,0.6881854952277179,0.7273404411968669,0.6516679729192669,0.6270282376983745,0.6580480494776647,0.7018277039981157,0.6208258162428522,0.6613700159518395,0.8422710353136488,0.7659806952227285,0.6855160308797773,0.7446719547498333,0.9898939889042624,0.9356386998552694,0.9356715443837692,0.9777495423999102,1.116876555688458,1.224483844445114,0.9631921719423726,0.8337256060743155,0.7459327088319334,0.9698131529676577,0.9065734642315465,0.9290494708534311,0.9637784149511502,0.7318111403039083,0.5823071939188014,0.5007909385481624,0.40150948379615925,0.43846650236011175,0.705059367592574,0.9531258310788988,1.4908970445446375,0.7581654785502695,0.8497376440509347,0.9901692526567094,0.7610858183048765,0.6708676090397222,1.358781463081149,1.3282089583433274,2.5151240736111378,3.305516641234169,4.238028347808645],[0.509383866882629,0.38367238228480166,0.43691808483913125,0.43450262065611245,0.3495033992945983,0.4096308240539597,0.3136909089795275,0.39837372004598504,0.3680564314950374,0.3146818084868114,0.37011388073340923,0.4999204612950348,0.3430415767301689,0.33998467729834897,0.5234299695884129,0.42367779649776166,0.4164511018594259,0.4715663006246028,0.5479688760510525,0.5039783009168565,0.5302872995815006,0.5627608783572697,0.638974539434738,0.7366489897103216,0.8232524552000177,0.6014246420746306,0.42235463571151566,0.38092790341936517,0.43155746122519745,0.4421878123390625,0.5024026198358168,0.49753903390702925,0.5761983429160557,0.5154350932572566,0.4769512281779807,0.457802475048906,0.4408004502503472,0.4002469705056863,0.36838730956012233,0.4106357208664209,0.49793866189797714,0.4437550804236933,0.42034812297087293,0.5916017284467803,1.0494713328297032,1.7112230148131102,1.5869440346891113,0.8547652633505815,1.2830738708755411,1.1590282774634841,0.9294763155893868,1.3849956102773793,0.773598259639643,0.7929546708510967,1.3680977096702156,0.62615348779233,0.7685540932268433,0.6927812849369167,0.6941420980404553,1.071453648109558,0.7428716967465054,0.6331682881461933,0.6366873127918152,0.7324621594677936,0.5963664314399749,0.542259141314616,0.7654266058001086,0.5777142125450856,0.7783168707929836,0.6949925185528367,0.9781408511962165,1.1682381330526863,0.8851829305449684,0.8744528198884884,0.625349308392509,1.2140582883994822,0.5387244064632948,0.5581498709608448,0.4983932324430985,0.542028528061144,0.5287144730210316,0.5395968329938663,0.9848187855500581,0.5422977559754297,0.6008204153207922,0.46655661962802947,0.4404866049308327,0.5362675575872373,0.45527343404895293,0.564305839921625,0.5419574042099395,0.6998886421115478,0.6226017836916327,0.5461036765904019,0.5146637615816252,0.6113437255787948,0.6296516998550928,0.5622346587843978,0.5462455014254055,0.721691910936596,0.5577211867026541,0.6202548674319769,0.4515027172080226,0.5172128254365244,0.5598082956330286,0.5370411712770126,0.752531728941927,0.4639258022679693,0.4996055308763365,0.6281275685661378,0.42719565512187585,0.3460889013166953,0.31312244946269663,0.3327542491743811,0.34913356675568386,0.3216691377958195,0.4044793672750779,0.3157352171211627,0.4596923576422387,0.5057744095168311,0.41815739945061925,0.4132971192226345,0.31514129032654914,0.30406237974563766,0.3068828285687313,0.3116214889440642,0.38635802816087844,0.3650858385196782,0.37647802486285903,0.44455197300778343,0.4929731151770756,0.5252268190112979,0.45169508480500864,0.5627633192722606,0.45785722133342216,0.5189498096340941,0.7567457852279574,0.4033591506330877,0.46486435645948115,0.3393563023827133,0.4420429117828056,0.4556222742946522,0.3968723595549194,0.32768945924127196,0.3148924595398184,0.36112908805131116,0.30799417060910556,0.38015443861311904,0.34217552233359755,0.3869699958466242,0.5150491126722488,0.5194151678449309,0.7986960283933286,1.353037848549627,0.9322266791810534,0.5886101173054903,0.49341519121348376,0.4868645110457182,0.43107500554906536,0.4054907396066517,0.37880723065159094,0.35672893201538847,0.3123099812851341,0.3290838271241319,0.4483535541997699,0.5617892942427891,0.5371313528053293,0.8408033372229125,1.0559677235078833,1.0098955221442463,0.7029872336747292,0.35021832295448757,0.4418603794937471,0.45211217045292224,0.381394203781219,0.449252298452045,0.44599028448444855,0.6862915939605694,0.4217800799891568,0.5797462037762632,0.6668986447260417,0.43214066753696034,0.4394652393267021,0.4783821403721838,0.48434671544347174,0.48717550594488174,0.4607519657470014,0.6544020445626305,1.1541174999626893,0.7424922258880169,0.9327773248811295,0.792994204750386,0.728867703741697,0.703932704388304,0.5553310928792324,0.590227505981836,0.6800376811679846,0.5254650192489112,0.5107283799587059,0.6136741498866555,0.48455276658564145,0.47871620490493927,0.45453097696486167,0.5164939454435479,0.5241818944182676,0.5254123549187069,0.6025835462633352,0.5927848964932294,0.621747294317767,0.6149597855516982,0.7156445540431954,0.753704264932465,0.7518047093261586,0.8780178617140525,0.9871782484034061,0.905739213636493,1.1095651804471196,0.8987411334235663,0.7804531486392731,0.7680819494760325,0.7669734062341015,1.8362152009698192,1.0608847927936473,1.682275385082947,0.7175604044945744,0.722014455516804,0.7564168859658036,0.7714168850536296,0.6660005919865966,0.5894651263792466,0.6635190403954879,0.6838773126511071,0.809193097663575,0.6813302733785941,0.962548789512892,0.7323404453919861,0.8010014156232449,1.0319041209995374,0.7074327771734444,0.535214910030101,0.5774839067685889,0.647212429487171,0.7535770728580304,0.8938029408100951,0.8598065076355246,0.7314631961932033,0.7066288746448429,0.9365782695320087,0.7963562870915043,0.6921664401122329,0.8357292924867143,0.914352254227746,0.7510083177778684,0.7899801350160386,0.9338641843771519,0.9266693161189703,0.7638012963809733,0.799000681831437,0.7357012484536929,0.7024257779494568,0.6520437150884199,0.644540157300891,0.6732066751069755,0.6067657977921959,0.5849786553845255,0.6162151910966028,0.6681274783665532,0.5915340120303391,0.6336235287208518,0.818891169477336,0.7432532475192059,0.6726108895033213,0.7270064121014762,0.9746672128933611,0.9263444944617731,0.9217838948049362,0.9711790188687786,1.1369182340521609,1.1859558080258636,0.9463568802514395,0.8222012952714034,0.7362449298299807,0.9700798311911681,0.8955157449905441,0.9129571025217115,0.9592736876075819,0.7246910318211314,0.5752463923491333,0.4909057226899105,0.3841069523257359,0.42014307196873263,0.6942185375816629,0.9310842201475211,1.4864515699695753,0.7881775124065965,0.8085261715932991,0.9311726692968708,0.7770962030291695,0.6741535158030377,1.29043553049154,1.298393011734023,2.5789705381614154,3.2704748480686767,4.050155415728174],[0.4809983156742612,0.3908283803473356,0.40223582595259694,0.43144637941969777,0.35017617949239593,0.35949537044050445,0.32112688301275716,0.3608366614869794,0.3783879123815843,0.31948458573479654,0.3559336487577163,0.4764219235457187,0.330077009467833,0.3362199258992832,0.46438064640888294,0.38919212246625945,0.42127220393424514,0.4615081494378527,0.551914826668821,0.5117888114753263,0.5486761608446492,0.5940071697801653,0.6414328192277805,0.7339857107418233,0.8409332832333044,0.6249846131777493,0.44539651605045116,0.39124465860320934,0.41952761665340466,0.4144292634025399,0.48777503783300374,0.44204804434999273,0.5401007257986282,0.47537808869128245,0.43764435244836025,0.43573370164570197,0.4018120508451408,0.3991559447724607,0.39546092699674357,0.40837858300895247,0.5067978193955668,0.4629757494773568,0.4445795877368915,0.6079295128533776,1.1073245641435705,1.7306848533750665,1.6507066033615696,0.8879789448663408,1.3068535500848542,1.1886411577899374,0.9395733171797878,1.512773197826169,0.7965779795007908,0.8690547537714325,1.3375159429055588,0.6044363046255526,0.7177174780832425,0.7277333651666584,0.6748028526675905,1.0761945122027743,0.7508664029401707,0.6132952532008095,0.6088609246858676,0.7158422602828428,0.6251403287424059,0.5485294523440485,0.7741478947826951,0.5796640859539302,0.7835808152981734,0.6807451748069221,0.9598567058744291,1.1431890731983612,0.8718498499158028,0.9040142135118063,0.6066480660994357,1.1941676117147872,0.521824834769634,0.5319783556517479,0.47458939201711087,0.5259276574145293,0.4844163977380068,0.5229389392531834,1.025009762222351,0.5058305157333093,0.6143967072730507,0.4514341264552259,0.42583929789723646,0.5017590970582706,0.4360097729952545,0.5446897479547181,0.5075188414632459,0.6859126022430049,0.6098677532145017,0.508917234493239,0.4878627361740478,0.5797674023441767,0.6006520850005482,0.5133799581408331,0.47817653856807074,0.6493148569837244,0.47696962085559746,0.5463944924543082,0.40359182319022474,0.45096258223919117,0.4988356393561269,0.47271988761560496,0.6562202437450158,0.42893017456072013,0.47152948672045286,0.6101206676878983,0.3828094836968942,0.33914307320071757,0.32574474124764924,0.3464664102215426,0.3811467018258474,0.3400374596480518,0.410724560479308,0.36276858395188877,0.5086173297123175,0.5077461402190047,0.4380857449409677,0.4366427052642657,0.34943232641767075,0.3227646789682103,0.34051823727123753,0.3244864769932786,0.3752005653844938,0.36366915763993124,0.3477278926748704,0.41959125232581806,0.4846624113200261,0.47542450978707046,0.43675080301158326,0.5175941538878583,0.4630298400852361,0.5461912247872974,0.7190472061565666,0.4159720982052063,0.4827470268868975,0.3829958206013722,0.466250939821404,0.4909819373772622,0.44605072908133375,0.37814914891237533,0.3573938760564917,0.380305691886739,0.33485846230328203,0.39939710824841235,0.336636378616825,0.363949560305214,0.4747324093656338,0.4886883380195108,0.7113748109685596,1.3552538211602085,0.9816562238020703,0.5261577301453693,0.4130920762433309,0.42174680761383027,0.37565134835501807,0.37117912910666,0.3869732463640594,0.38207895909160666,0.350909603287434,0.3542655998542413,0.43380414771004794,0.5722914010009287,0.576087489489403,0.8644228407429536,1.0369948247407854,1.0101046885028424,0.7088851491810458,0.37295182356143275,0.43151822646802807,0.440383212489724,0.3836562747068684,0.4401363967846263,0.4266345623452817,0.6440014712548703,0.4136196007659928,0.5149548168280993,0.6620945842895062,0.3938552363292408,0.4141008886802995,0.48083453089918776,0.5063697028223415,0.49088711574524296,0.4497062723152146,0.6749156187131953,1.1713737285991987,0.7277343681670301,1.029380036356036,0.8973357578303549,0.7925266618233877,0.7429487324547588,0.5748744927179859,0.6112087892335563,0.6850905200176711,0.5256350825968958,0.4920592682800282,0.592494685163541,0.43361401709429404,0.4241596718074668,0.4034590212052208,0.44782442862066285,0.4508219855735418,0.47086985645921803,0.5451274831347955,0.5146459102511507,0.5456437813056744,0.5539056181694982,0.6396220248557707,0.6742989722454954,0.6827835101630271,0.8037495876329613,0.9301129939303906,0.8546185329865186,1.0641016300070203,0.818117100828486,0.7005212194620505,0.6962776249545679,0.690772586187489,1.7745851485354724,0.9964689320817721,1.5985890099438755,0.6455720433669139,0.6529716866747618,0.7125986214104376,0.7324545875897189,0.6112810539870596,0.5441075542149957,0.6432761386586896,0.6778932326885393,0.7670396199422681,0.6374274091797042,0.9411360580953475,0.7047514757041803,0.7517943174464676,1.0209179390062653,0.635107741113363,0.5159016943569428,0.5858944589266313,0.6430532755814619,0.7574783712930556,0.856298062120542,0.8434696685276549,0.7045830309853881,0.6487501455639981,0.8846536519555779,0.7599509977094059,0.6154094367296432,0.7447823304189604,0.8260107210644801,0.6720677532936515,0.7064528640521578,0.8581150524406563,0.8768357783225256,0.695499704465514,0.7256413422760715,0.6544416419495356,0.6209787397841152,0.5716456385955095,0.5632664691005698,0.5943420805473455,0.5272100529614921,0.5018597021147182,0.5292708419318344,0.5850384311856042,0.5144775355791437,0.5609398155127215,0.7630739240737058,0.6654149819534018,0.6109365410271921,0.6393704793178788,0.9336101445038322,0.8706900446029631,0.845102014161047,0.9399262330415173,1.1106038210982356,1.0719208380811236,0.8583932312601702,0.7384671253588452,0.641225630066876,0.8863967565151141,0.7947501006311884,0.8187250668475597,0.898200017304543,0.6631864021887228,0.5267167691672217,0.45805785242772845,0.36894529372568974,0.38357954474433503,0.6301614738456747,0.8445500120050491,1.4412978715764797,0.7667282719096415,0.7323911585979378,0.9445364402757365,0.8469566245651409,0.6710937084588211,1.1893045421708033,1.3538304836395587,2.762346928141098,3.524432132242273,4.274683774616605],[0.4310789602660345,0.3797993003656648,0.38081593053314156,0.36181401415628917,0.32353376252063376,0.27762797430861447,0.23447031840583019,0.28727792791272316,0.32740042538100905,0.2775292558279984,0.3122862952463725,0.42228320311661477,0.2880204222909568,0.29212848172280687,0.3980128805557892,0.3382946422210607,0.3480095497886227,0.3798454945568689,0.5033697973983741,0.43904120749702535,0.4964331487156866,0.5497002846199969,0.6194674516844785,0.7412860724547979,0.8858678063476364,0.620611044026335,0.3976708513252164,0.33175189109560727,0.34181468656558184,0.33474808732617867,0.41033007191922977,0.3670670785589945,0.4730349452102284,0.414608230048229,0.35920877414195435,0.36315372672260743,0.3358515927783235,0.32521575416677306,0.3366520307615467,0.34369086531627363,0.46957383548936127,0.43410117929684516,0.4180728544337578,0.6397435467819782,1.184153039213011,1.7977289662423237,1.7662680658764565,0.9494304252838495,1.3129092414406227,1.2682785150519136,0.9565805126307411,1.5917714983315319,0.82358652885061,0.9013354896677389,1.234980296136806,0.5495393771026967,0.6666711148253959,0.6935322992643321,0.5801194804883446,1.1078760815346558,0.7430708693258231,0.5740875945345627,0.5554166695642065,0.6555717295477298,0.5879097196471282,0.49487706401146386,0.7342200211076599,0.5150878329343378,0.7485879736894446,0.6190418433515825,0.8717324257493559,1.0574773568252724,0.7803462341073313,0.8543542996960556,0.5412818902613458,1.1630670219711265,0.4663340030549332,0.4633738310979796,0.397097804152876,0.46729751823423427,0.4164367744223025,0.4557031577959384,0.9403624037639992,0.4022740252523419,0.6125589506655823,0.3584698655759134,0.35442990203467933,0.44810615243701096,0.3675017954850723,0.46762944798291084,0.4380017815617358,0.6769955138918939,0.5692789175584759,0.46045740499446464,0.43078592380483,0.5465526246383103,0.5697292777426922,0.4640202923431605,0.4224133322759288,0.609018769602222,0.4286538514500549,0.5107376620376591,0.36871951069345743,0.38787431861473537,0.42126781476475506,0.39455320682469147,0.5932997292716726,0.3723135931555516,0.394254658346673,0.5791802866743603,0.2956020013658898,0.26354157564607844,0.24776629557282026,0.23987131007956425,0.2906259864448839,0.2834768954890067,0.33610256805101235,0.30651665775642023,0.48481486191175444,0.46946489198658437,0.41486929418568114,0.40651494780402675,0.3037975804697758,0.25058390062632896,0.23953186828578063,0.26612957764269896,0.3061599725599158,0.3055143731917511,0.2741824878646332,0.35508078187606695,0.4559736188290302,0.42588692218285024,0.3977677802375608,0.44466650979520095,0.4041708574498905,0.5117801493270585,0.6443449562877591,0.3688580512176911,0.4222516883742115,0.3275302454603564,0.4301564909212694,0.4702149461878228,0.3992526502748607,0.324348124046066,0.3036153238037513,0.3332549730735311,0.27049284957258574,0.3242637030921793,0.24092961669284563,0.29969507266597983,0.4385279077872058,0.45072475023048675,0.6538685021399845,1.3155473677521483,0.967824062644181,0.47043782666937545,0.35818184303093603,0.3594769318234598,0.30582525063232,0.286220526278741,0.30174841122835977,0.29239076847655937,0.3040828215336601,0.3013304285582063,0.35679005545094017,0.5762758861166875,0.5710509488220343,0.8891684483160559,1.0390067178836733,0.9938879008298481,0.6860661104957777,0.3208348757351319,0.3626560880440916,0.3483363577880411,0.29166537934527015,0.34620505744204877,0.36243231099960643,0.5636402585816641,0.3342777065515624,0.41939738175882185,0.6532670150996678,0.295487410109319,0.3295610195537233,0.42444299505992256,0.4446511370070984,0.44329642906576344,0.40164419131039447,0.6614215812415979,1.1809338953927437,0.8134832515098454,1.1038125302415447,0.8522394390769669,0.7968210812776061,0.7462829952121608,0.5713630766189228,0.6400845901245059,0.6893586129041901,0.534130519578378,0.4887023736085678,0.5841414920301268,0.3739169367335647,0.36611192987153873,0.3537350233049291,0.381208191769058,0.3684799511875965,0.4006141967571227,0.488670697528246,0.4394369157842225,0.481076056743489,0.49485459160890954,0.5776113748464908,0.630957856479996,0.6571257069981575,0.7536517345152438,0.9244054250507379,0.822479584853044,1.0276191975699727,0.780338838308126,0.6533438954963383,0.6566625934438739,0.6573849183607641,1.6590173301462077,0.9760987361674591,1.5273113707654582,0.5958779523487002,0.5736718416781781,0.625669711682139,0.6278649200045471,0.5446000194791847,0.4822031818571429,0.6110878375301395,0.6829197530542627,0.7516938306343137,0.6326267710118945,0.9264540002918457,0.7439675579303775,0.7365081494164554,1.042778482170494,0.6109436038790292,0.5008547925937619,0.5541883720145734,0.5987946852503759,0.7197688347956324,0.8028079076377673,0.796209560087393,0.6556063440486464,0.5789656816991001,0.796115184572097,0.7016547508721086,0.5318708702672565,0.6741522900104497,0.7741222132418274,0.6240401707102711,0.6533957854695639,0.8171322981632421,0.8818567848441767,0.667908620136801,0.6949033743567637,0.5965996778639205,0.5513338565212249,0.48618735304193084,0.47364916627909,0.5278045544011172,0.4541555952877526,0.43319294545570947,0.4737329993142953,0.5366940023565041,0.4608899692766481,0.5189160341267235,0.7665858556571175,0.63012909586097,0.5899723704910803,0.6228234435233934,0.9503498094999034,0.8606077150978253,0.8113086748784784,0.9690366791697147,1.0910565203102196,1.0468383876886722,0.8168548297122847,0.677405287436229,0.573688346351004,0.8370170576085921,0.727020431598148,0.7711010880344996,0.8715228817213417,0.6109336281588938,0.4655775627329251,0.42312896348681733,0.31128934601329583,0.31838813671629607,0.5548424082297791,0.7413247697475748,1.3601622974584633,0.7500672650503146,0.631410565026062,0.841649482038006,0.8660116508183752,0.593537888843613,1.030220941209904,1.163175807125761,2.528660456560923,3.191864959152293,3.8697912078184644],[0.4538700380067953,0.4011137370915641,0.43940430421161497,0.4424215077742677,0.36668447262350545,0.342515748935649,0.31864964829968984,0.33875911836538575,0.35658590552827946,0.3138497954616281,0.29716467379020406,0.41286665995410793,0.3078283080089033,0.286122322412154,0.3591697978364662,0.3249549517786627,0.35764918892817105,0.3739788815624534,0.5010838614870057,0.4492386634669638,0.5068443675106808,0.5684171872825694,0.6174466716738517,0.7479959863351684,0.8829330588351542,0.62718690065434,0.4274687151410083,0.35664976552181227,0.3524517902544843,0.3521797365534388,0.3889832803071225,0.3592340656463487,0.4507467297431094,0.4035267059665803,0.366095544524152,0.37215632786205555,0.3581589544844189,0.35170104282057996,0.382059717186256,0.38443530442741314,0.5065084123010288,0.47108560017298234,0.4576000848509907,0.6597231727166539,1.176558267638234,1.758822968407822,1.725375099137519,0.9510175840177065,1.3048254804073975,1.2501581148532828,0.978051009795218,1.6471143334647311,0.8544894050710302,0.954736840141477,1.2375466368527364,0.5645980313952532,0.6689453302746381,0.7253033674168125,0.5839079825598879,1.1222427566056579,0.7512444544327604,0.5581517892910669,0.5425702354040869,0.6346675290996772,0.604674642412083,0.5018718394459376,0.7300761112338581,0.5109873647862919,0.7448171203328843,0.5920698705699335,0.8579717970219587,1.0458235008110464,0.7437647727507816,0.8286154948428984,0.511510894407414,1.1107251363017643,0.47175285527898336,0.4536652300358672,0.4094673867270807,0.4855016699459653,0.44475109177188027,0.4858025759799777,0.9676319121554561,0.42894609405933415,0.6567943373667195,0.38464124641041414,0.37644127180660875,0.45928776867836646,0.3858466834102531,0.4613083115338604,0.4241337609583875,0.6678007510482312,0.542289929665634,0.42022788042481035,0.39466583374098313,0.5103953878254681,0.5623992375905581,0.4351056329275705,0.4138644721813494,0.608872666295003,0.4186113141670999,0.5220555536953037,0.40191290688185594,0.40403654133476713,0.47196739715337677,0.43170305010713245,0.584983835694511,0.39970482554215875,0.4005765843642123,0.6029256068426914,0.3304823466221491,0.3271429745232086,0.31732265305277413,0.2816758663835941,0.34272990552283383,0.32312794447134163,0.3595318522272967,0.3399915489311546,0.5067686061873045,0.4663645740486581,0.4262032632084386,0.42473413697571727,0.3234460142497989,0.2803447699650874,0.28689143166221165,0.3129420780677855,0.3904608462503354,0.3596870140456416,0.32432034969420603,0.4043044696015358,0.49695170979681746,0.4573531863468703,0.4367573932446107,0.4863757200457386,0.4506536155376048,0.5339549778255949,0.6534154162279623,0.3924414548556644,0.4396363474318756,0.35896808998383445,0.4427531578902405,0.48549697340870346,0.4276296058658972,0.3658649156648946,0.3523518022215997,0.3758040678561391,0.31846371323994216,0.3735463560507507,0.2918099459416502,0.33664857762759154,0.4478897027822486,0.4522235280155538,0.606516568627621,1.2933913910324881,1.0136670853404808,0.4721890640012908,0.3618601325473147,0.36257066777357294,0.32682695419880226,0.33255494902127214,0.3667828139242647,0.34420435601064775,0.3522178237760776,0.35162944423768794,0.3942529110753636,0.5782323702467599,0.5758758659272712,0.8490053411341278,0.972926470503197,0.9639194314659894,0.6864253907899596,0.3722501575553357,0.3955585399575031,0.3763146265964909,0.3407547352200615,0.3991850086813513,0.3958416223012476,0.5739983721680438,0.38438525780790644,0.43998636334808555,0.6755340882466002,0.3546451472253228,0.38105907593797417,0.44364544029936326,0.4753439012375812,0.4758568232638042,0.4435485894948258,0.6810749046159738,1.1729637303860425,0.819295677722227,1.1377632132956796,0.9233443714981165,0.8067427177270123,0.7556293686993905,0.5864519946646248,0.6609967473787784,0.7018919768556116,0.5519518577893177,0.507291467571438,0.641052133720641,0.4195515158087218,0.4289480667928575,0.4062108811155015,0.39816204686085455,0.3830375218919591,0.42203848946151357,0.49925511310611626,0.4296419206208638,0.4623511534757371,0.4899492931647664,0.5566928061237996,0.5725532490442045,0.6077757642889815,0.7527093323334804,0.8904098914577602,0.7917719465525752,0.9470598953188332,0.7102947484671728,0.597846851205931,0.597567884847711,0.5829180623968692,1.664105434710382,0.8978311534560951,1.4978130999498496,0.5888439035360062,0.5876885447958216,0.6481240938923131,0.6879760142933254,0.5456997978620182,0.49677711357266363,0.6338530593969044,0.7028302284857456,0.7053516311096385,0.6038162029369148,0.9491992270742307,0.7375311961493226,0.7211883846323252,1.0655088352455167,0.6063661669705201,0.5639638962683479,0.624717657073841,0.6532563129685987,0.7883408648297144,0.8337113868950871,0.8736928543372906,0.7122502027662896,0.6021439440298364,0.8047902700948225,0.7198112130591672,0.5358856206458119,0.6342989909272352,0.7180176717532711,0.5856581418445915,0.5969352465450068,0.7407366565739418,0.8205791475670229,0.6033962039305502,0.6123571478407602,0.5349099603578283,0.5028581831772744,0.468938371189819,0.46316836260454836,0.4732599203430495,0.42155988530546806,0.42489426720372986,0.4256976718943228,0.48209983855450794,0.43313398236485523,0.48113803984630726,0.6944184640316278,0.5738250105113526,0.5495439065251182,0.5792671179466954,0.8803026878388962,0.8094258011061377,0.7494654903831011,0.9828269972998716,1.1199001963892539,0.9630576753517394,0.7792634596128302,0.6357788424140229,0.556785491957033,0.8502152984560951,0.6723040876989063,0.6976587728330005,0.805890705957288,0.5774861272677544,0.4692785499302788,0.44921196283857867,0.362757034886131,0.3485891647271431,0.5482966979670704,0.7156462880163248,1.340600729266604,0.761105216503757,0.6223758155117349,0.8920264162046513,0.9589300338777713,0.6181804319793917,0.9799330170783322,1.3465215821617427,2.928034692201874,3.769285844932847,4.365757426637067],[0.38124463218695187,0.4231288532639825,0.4660102931175884,0.3694635034058178,0.4103509595318987,0.3362405607681711,0.3030372088364054,0.3342249649401217,0.3616235234303017,0.3473050768628966,0.34218569938355253,0.4258803915784883,0.3616886322235443,0.33382567829802395,0.40054368394670103,0.3658673300132281,0.39752393815766024,0.40369228927610845,0.5107326876411409,0.48258966702324085,0.5443142337881757,0.615593496655213,0.6691430632178124,0.7975470510958126,0.9599562922405432,0.6719708121294609,0.47141620338565693,0.3853165580984624,0.38256128931366573,0.39121698978485137,0.44112182946113626,0.38225627997600203,0.5022208167850268,0.44944803789150584,0.40261174560350077,0.4115433696905165,0.39284039266060705,0.38435310069812806,0.4162205898297638,0.4161370948960994,0.5070346318410887,0.5032371983758044,0.5069533885304766,0.7250541393830039,1.292532064988632,1.8333867326060815,1.8939828978386757,1.0583567033661718,1.3371127249716526,1.3740696677154902,1.03980283870922,1.7603339517580678,0.9274256533442469,1.0250426921063625,1.1692232756615002,0.6100776010934835,0.6602075046727737,0.8003328024978227,0.6170876035065178,1.19965969427175,0.7885987172255355,0.6067704191249457,0.5894658320688768,0.6736210686393882,0.670518673867658,0.5538873376205932,0.7609423794280938,0.5144380615993487,0.7444837716160925,0.6041167163885023,0.8129168538385857,1.0221300198750198,0.7387097029927587,0.8619341580353131,0.5284562067493233,1.116886203431141,0.5054830047622705,0.4860187871201645,0.4477611146747795,0.534237228471054,0.44846207091112456,0.49240786307783474,0.9373044846539605,0.48550723346166663,0.7067512349909179,0.4102539787697355,0.4107894370505612,0.4852872514933775,0.4344045581023829,0.4931262568924833,0.45793406563614014,0.7193409891734234,0.6112360911082029,0.4830113847647503,0.4496162037554612,0.5995887307618876,0.6459732955091989,0.48522168806775484,0.45773271028028395,0.610753480959447,0.4465183421044791,0.530848778981947,0.4198487606965873,0.40499451150119575,0.48853740279414737,0.44816207377587,0.5715514790144108,0.45002688644063504,0.39820780871178857,0.5919602011876839,0.3152810532085446,0.33868363205835966,0.3388003468306905,0.2982722060628488,0.34342580988254195,0.3525419001905877,0.3706453950996542,0.3634772723110185,0.5490218811508828,0.4727861679402698,0.4649468216158035,0.45704008791222006,0.36613890479968075,0.3159913208113373,0.3036263772428319,0.31998124001926637,0.4257847682481935,0.36743799173417696,0.34048701070862636,0.40901229100636094,0.5261999233349922,0.4760380715937816,0.48530268479488176,0.4657475269843091,0.4795793521393832,0.5633453127444301,0.6547097841794858,0.4270587201740853,0.4475306252694452,0.4374842406434491,0.48868997639408834,0.5509999054486885,0.45258194511093053,0.40087266644951486,0.38947541038567957,0.41274531361502836,0.35754164390883175,0.39218561625341747,0.3213739917221503,0.36825465990332756,0.47025836646279073,0.46931215668039017,0.586400353086528,1.269004983300764,1.020367862289572,0.48897134595784986,0.400750488323609,0.39416952953984175,0.35771911406024665,0.3490372044867898,0.4107567169103998,0.38166846966217655,0.3937841424818177,0.3957216824762252,0.41268518815996025,0.6414833942871325,0.6621304781114448,0.9439510765875267,1.013021539961101,0.9861000378211695,0.7187451984259816,0.41294457924693795,0.41985841183557093,0.4046820578510056,0.3733925566485753,0.4175704687864552,0.4417407988914284,0.5539205784250617,0.43224641110185147,0.42994010930102916,0.71847302055836,0.35634408296719966,0.40313723521262357,0.5063519885322391,0.5299438779209942,0.5302712900584665,0.4773452560765205,0.7021500324808883,1.1897775041390148,0.8964629454466413,1.233671453795056,0.9548204100303261,0.8970434562898503,0.8433159796959466,0.6648088600828521,0.754069947885734,0.7627966893821513,0.6197794868469747,0.5617016060905761,0.6660501826453057,0.41640744370678207,0.41221235871366885,0.39552515494031365,0.3689407630759978,0.34418692899766967,0.3870456029660873,0.48105148002420567,0.4034401910326973,0.4304875674175536,0.4806482943834145,0.565914486055838,0.6002718828913928,0.6381733215803569,0.7624166506558293,0.9464676317788792,0.8397411086392705,0.974088276981724,0.7395704431130422,0.5964797002368682,0.6200967141847047,0.6097477181053897,1.5640083248532615,0.922175790478973,1.3964783674120584,0.5582144892513509,0.5304045161375656,0.6110416485814917,0.6529864613924478,0.5242083802499949,0.4796982916158949,0.6442855148553566,0.7360916098670813,0.7054509120505542,0.6362549339974027,0.9717066337082524,0.8124623020330282,0.7554491298298048,1.099466953728101,0.6196952185875735,0.6382187189970528,0.6692574812830205,0.6488145993842904,0.7999443839871574,0.7705238188884115,0.8477888527838899,0.7021864196486293,0.5647505215161517,0.7613458616682538,0.6923119446665895,0.48967946587981287,0.5980618472272866,0.6986327594758851,0.561764754313626,0.5677835298052116,0.7225431193682006,0.8506340032226838,0.6182301467078043,0.6252342784183257,0.5283151109053783,0.4703613082976123,0.41530707851906296,0.4230107325302537,0.45131843264248894,0.39259586647983213,0.3923128507482723,0.4158628899875835,0.47843996736397054,0.41774278703020107,0.4979887396391143,0.7385817148362669,0.5727939474841246,0.5756896349085364,0.6268702979618018,0.967301870311234,0.8648028483910308,0.772206778755181,1.0908180344590084,1.1434488143882373,0.9842922679959826,0.8168984565826026,0.6288853621563523,0.5674210029547031,0.8780124960014277,0.6456462661276583,0.6922056318768957,0.7710538821514004,0.5528103772579874,0.44785923673339745,0.4635416251233576,0.37068904538855096,0.32628175777684554,0.511024737688105,0.6445075188980931,1.2688488227103156,0.7502320163420689,0.5501449455862099,0.8093524799543858,0.9519944381001735,0.5743246955692941,0.8829506790729568,1.1646666641537242,2.6738889404600146,3.4237321484704917,3.983310856081088],[0.4393726745108075,0.4170857444112587,0.4875816124388897,0.38741801241205354,0.45166839196593855,0.4068303654647439,0.3883478770887195,0.43071464869024545,0.4396969374412536,0.46091496326453857,0.4571556012669673,0.5078128830031717,0.46444755325373743,0.44472404410959576,0.5051767649569784,0.4728582177376789,0.48755571157757116,0.4907339345569226,0.5855563912200198,0.5657098695329982,0.6306844718419836,0.6842189619017336,0.7239498105776975,0.8671794965963645,0.9590186644011989,0.7364835998512016,0.5682830469969475,0.46885553318409456,0.4716355415867569,0.4979544195197362,0.5252873679631427,0.5104180560531193,0.5952257928544504,0.5458448773703237,0.5068889190289433,0.508039783231709,0.4902073885172815,0.4787315420445702,0.5213223332631406,0.5142988704746995,0.5794490242265129,0.5930741647674072,0.6028205205585676,0.7829816468229591,1.2704436997500788,1.7565090656336355,1.7993261272560692,1.0839230486768623,1.336810889601066,1.3384060444573938,1.0727020372798648,1.8419886161418442,0.9905108518948393,1.1170402761007074,1.1951693349470363,0.6746252449587826,0.7011262549830565,0.8805627883749502,0.6872337347886056,1.237902129737456,0.8269315193064312,0.6747695733335705,0.6612895852444043,0.755529022070237,0.7417025168729391,0.6513821507976648,0.8217482395069731,0.5790559492599164,0.7926473687990961,0.6482274153452345,0.8403294537894278,1.0428769470780048,0.763297087792856,0.8958674796703844,0.5859069418112641,1.1550984983004795,0.5859788140569291,0.5598045002329984,0.5426276338383628,0.6262466660008603,0.550416152767827,0.575543365156694,0.9777769117625794,0.5967205507073752,0.8331953838579178,0.5153158096236564,0.5051671407029146,0.5658409974435622,0.5314384336968693,0.5724541298747619,0.5366255609243634,0.7681504561752781,0.6786334561210279,0.5772676775993132,0.5456065513087226,0.6884978897744087,0.7599467513519057,0.5883043908081729,0.5838339506666946,0.7076742623895916,0.560349709791589,0.5979559609197478,0.5449183772373147,0.493438795485419,0.5340938279709124,0.47185098230767875,0.5794278365967603,0.4479682321002916,0.40140581812416165,0.6232135657588875,0.35485132711775563,0.38572336573520394,0.4093118204736663,0.3501397225514736,0.4238642570100346,0.4039012735403894,0.449889898990269,0.41588075268460817,0.591702322417445,0.5344172108088253,0.5202548344165281,0.550247960721042,0.41944413874970427,0.37402184631516083,0.3307400805715062,0.33887051895554715,0.4798690303606185,0.3951856649135842,0.4088632068645046,0.45416919726840477,0.533664273212537,0.4824404253744626,0.48550099176340594,0.4887557992098832,0.4824658229847753,0.5101549039536089,0.608159705048469,0.40854101214165284,0.44539080320928587,0.4339748852512293,0.5187768577260415,0.6010365591315826,0.5172776144451179,0.4546605989417649,0.45849978990715445,0.4777851094040861,0.41661605918845607,0.4436269763815298,0.40886054563104945,0.45142336139573797,0.5255347288550188,0.5786184208578246,0.6484873197218343,1.2927174618383044,1.1327496809979416,0.607230053727178,0.5309397465808899,0.48457242264398265,0.48324908806790756,0.4257427474893757,0.49111354120292405,0.4480564834579667,0.43179014496426277,0.46658555894982223,0.4735960446535266,0.5859411224336369,0.5980130189017636,0.793862407126936,0.8352149341775813,0.8587961829030016,0.6385919026670988,0.43469139638943255,0.45313701877524826,0.4312782653275975,0.44394302600212565,0.5027184551698451,0.5358237834105841,0.616441915563871,0.5251534527862477,0.4765408754472108,0.7245656286505302,0.41062925044442855,0.425719466714503,0.5126233849871746,0.5297932160817119,0.5826018042620167,0.5125457442471733,0.732409430123149,1.1887057547365196,0.8808931417985899,1.2137109587412205,0.9753441989911525,0.859137769196049,0.8026853633630079,0.62790451999766,0.7034988781558738,0.7330950661248783,0.5883570317768543,0.5570429340565157,0.6708785880546435,0.4492685192058361,0.46885138215648614,0.4359377491916878,0.3834435969425994,0.36685487492666263,0.4058913410346883,0.49802780060479057,0.3989882404644843,0.4217792285175705,0.46412583569277566,0.5410247976009093,0.5408836363895757,0.5889458019813931,0.7570527369047265,0.9018130818661195,0.8183004726579017,0.9226816307932832,0.7077723405755982,0.5761052262617131,0.5784920453708784,0.5681786615986711,1.6376253467899107,0.8928757885916823,1.4008042273781747,0.5757679170421979,0.5697130867714333,0.6473116828841382,0.7033586207700883,0.5331887733207931,0.5142884758677136,0.6593417746112036,0.7445150201276018,0.6560988718361976,0.5988621053810852,1.0124057514022076,0.7877953166375387,0.7294245740600039,1.0787714907107187,0.5939618749367402,0.6595759668613879,0.7080223925879872,0.7050783775812729,0.8691466100395293,0.8408394942401017,0.9339508718197935,0.7678151546060329,0.6189669279256064,0.8142482493459271,0.7280360960974648,0.5094623471738495,0.6011389872213363,0.6758867550921125,0.5479634935969009,0.546469079537139,0.673618100932045,0.7905703397170184,0.5676887689948189,0.5698204955430445,0.4907456429615793,0.45604570264204,0.43590909762800134,0.4491366503278636,0.439967210115259,0.3992030630419585,0.40813077443651946,0.4013921607912813,0.45809411800427374,0.41397173892155104,0.4816051382817751,0.7101916179234574,0.5602552129252759,0.5588975378112621,0.6003843477265695,0.8983080910555017,0.8230316263552171,0.7461469544141244,1.1163535877729804,1.2024389155954982,0.9440862642525355,0.8274227663654566,0.6285125573492889,0.5783718517646271,0.9474522594633218,0.6591993303527667,0.6843002597560852,0.7053091853129658,0.5155075536453707,0.4455094507760695,0.47033289735310224,0.4240393839931787,0.3770007654891415,0.48251829867929935,0.6214293826275049,1.2587685510981277,0.7100286297753862,0.5680546219273945,0.871590256337738,0.9876756818878679,0.5732328282156057,0.8883708187997621,1.4297433907670822,3.127539432323711,4.140364932698855,4.728930508089294],[0.5966825152204257,0.6154552659732043,0.6281491948138044,0.5513773541382404,0.5976340498639178,0.4884209573558638,0.4765638899344846,0.48796239010004155,0.4708017376614868,0.5491813547925055,0.5313020075570332,0.5580288522148631,0.6066465152134342,0.5962344346616669,0.6835802994692942,0.6714135049058884,0.721397053086416,0.75947961914381,0.8644266264295688,0.8489059697856025,0.9425794480000657,1.0082850449233405,1.0452431311612447,1.221477614885124,1.1378697649647604,0.9877634201274128,0.8838357651831841,0.7848275810543694,0.7576666838808727,0.7227417393344491,0.7624184837932363,0.6991867701144275,0.7863624822033515,0.7924594378801973,0.7530910878781967,0.7723443218595599,0.7453788034903795,0.7852525559971847,0.8292533324758632,0.8189033292168333,0.8634788481085581,0.884784736113361,0.9031409009971064,0.998078251182087,1.38457683653538,1.775200021742041,1.902095019479272,1.2723663637094162,1.3724987116597427,1.4799255954350956,1.250324544191152,1.9659874639971306,1.1858108469872186,1.2521360884046289,1.245625837111812,1.0253603343007716,0.9958137371580863,1.124630790125669,0.990815542127655,1.5340598938551313,1.0834098578899947,0.9529065307843194,0.9327944508713382,1.0676919227742503,1.0265399427718724,0.9608653741012664,1.0730288958755754,0.8604974213245448,1.00636504810435,0.8804723320320734,0.98277201612469,1.1771902321641443,0.9714939706848619,1.1584008563464687,0.8407781658540496,1.3475622416109534,0.8689880102827968,0.8403316250557937,0.8187592695220154,0.8995283541691537,0.8368973937363496,0.8645587071145994,1.089992350943795,0.8526032130460961,1.0580417813834648,0.7801536389611695,0.8168193137445604,0.8286363734093615,0.8163350151416593,0.8307260643225647,0.806411461006761,1.0370642625782087,0.9156824524912162,0.8197953983132634,0.7608180139188921,0.8790812032369252,0.9062630093925966,0.7330637759052568,0.6773264076886792,0.7642738977773574,0.668099659346416,0.6581102217972097,0.6834037037300177,0.6400446563680743,0.6896121687855784,0.6331491453418231,0.7038315711275774,0.602014527743997,0.5310036330543777,0.7121803179279614,0.485979387060111,0.5398905657639504,0.5337488101283651,0.5544249129317266,0.6279800355291686,0.6753905628375675,0.7621702012861955,0.7594765313395284,0.8534805102850559,0.8093650764496456,0.813613926174197,0.800403635662831,0.7137154554331444,0.59748104034126,0.5010161432996769,0.5566154161512853,0.6291681836964074,0.5619009062123351,0.5813700683742836,0.6357422008364273,0.6890009919535108,0.6556013841112064,0.6934823517834289,0.6757956201710029,0.6854604535069005,0.7105222512279807,0.7900712579197917,0.6570140583829612,0.6646426830834734,0.7293244202591708,0.8211321878776664,0.9301532045984803,0.8493301075417707,0.7786437686782353,0.7734374226267314,0.74357795923763,0.693972278619815,0.6559429892995357,0.5983121989520359,0.568502353438524,0.6048158063777428,0.6211197190751113,0.6930692604004555,1.322742352191604,1.1586815188311408,0.6621445505450753,0.615847293402214,0.5900519992543833,0.6275450133188009,0.603518727931291,0.7243950924797077,0.7169864603478076,0.7251305559806394,0.7657231045042243,0.7964876780464615,0.8577541816166171,0.8381342244679144,0.9931507357154884,0.953909040972575,0.9445106028652428,0.7663283482399106,0.6879485201298795,0.7317871421492811,0.7057993762108992,0.7167729939884903,0.7243159541479721,0.7384077927740212,0.7772643568509273,0.7845835505148738,0.6943561257238663,0.9631385423995982,0.6394229188876919,0.6689387882338961,0.7701078318708398,0.7773709522228269,0.8749842914310086,0.8040266870706514,0.9567170090600141,1.289567967505624,1.0439229298730521,1.332791407350847,1.1492824044383896,1.0079739745344671,0.9614535946601048,0.821265122024947,0.8681347094367794,0.8687779485174213,0.7403763472792769,0.7054756271100362,0.7899199639932576,0.5849443529175042,0.5767409095594653,0.5650508526468032,0.5454069504471446,0.5015761026038397,0.5161810725996601,0.6300297988904537,0.5477505090187181,0.5363134437883061,0.5766376044994932,0.6668606875457556,0.6797210874162468,0.7287111259144579,0.8597097736062062,1.039249566681304,0.9833017716976873,1.0565812741008387,0.9073720408046752,0.7391198415259671,0.7438682916379463,0.7471544564483482,1.5789834478912639,1.0543508143540494,1.4483224274884676,0.7001940204896059,0.6417381041446903,0.6737128978651092,0.7354987845212119,0.6238398979352731,0.602178549334913,0.7215215362531243,0.8364208256993059,0.7451642535739785,0.7277973025779761,1.1292879297153178,1.0251705242225055,0.909361563970792,1.234784126762375,0.7573901128585045,0.7730873529157807,0.7796604762861968,0.7362096384180618,0.8809239005641116,0.8768225306392019,0.9509818583662187,0.7937719476733791,0.6738616088450482,0.8215496091493313,0.760910574371427,0.579745605863201,0.6486135177195568,0.7297104544777525,0.6093436573520967,0.6172075936867467,0.7607120422134372,0.8644173759678245,0.7053468684954594,0.7038039675133532,0.6173841202964164,0.5782724047604934,0.5422415065057193,0.5669169058095734,0.5898871465036688,0.5501026744226649,0.5582936049240975,0.5838682895992636,0.6333375471292852,0.5992362917316248,0.6743578357884259,0.9160248707658893,0.7640261161614195,0.7525675050234355,0.7825448877838828,1.0699819353884155,0.980613941630938,0.9004821324455147,1.306712816429512,1.327038169138714,1.1512649956512158,1.016660625407954,0.8051318415822952,0.7418168249541314,1.0894692800829542,0.8141617426576492,0.8527973352256071,0.8219151119055587,0.6637542077587626,0.592853629294982,0.620457452327978,0.5776674338420577,0.5201108685773154,0.6008895741998381,0.6917517092644828,1.3006993485482887,0.7690125839249766,0.6189822613803805,0.9110949339226243,1.0255639557008,0.6536312789711416,0.9598120361083058,1.405747344499516,3.0236057626710444,3.9512193465442604,4.572994347952392],[0.7028120374548047,0.7790810031487356,0.9125537237108513,0.7674325091704307,0.947465370132715,0.9299572703377343,1.0434497843247468,1.178071147012886,1.1623075611450564,1.3254661513754076,1.3905148125770657,1.4084782199121315,1.5390051647798642,1.5065965070174607,1.6508436036703067,1.671224794661627,1.701563703042836,1.716093709285362,1.630975946096867,1.6461081496651218,1.5863032562117247,1.5984072890868968,1.520993840751845,1.6091803003559728,1.5774520516558148,1.5403536580023474,1.5731797315961367,1.5846460574281265,1.676410654447146,1.6912809400343294,1.7525791498503045,1.7053353422893347,1.7666438973152594,1.7638083412761154,1.7374492519913634,1.7259879564471479,1.7038502892632303,1.632257032082033,1.6200240574771771,1.5669509170211358,1.4715154853898293,1.5485001720040865,1.5365507112822245,1.5749334173540888,1.6878376860698245,2.0040781885531027,2.0983687431091473,1.7031581938375968,1.7987045451805788,1.8258032077267088,1.7329362615065618,2.3501937370704504,1.71135250429258,1.6651451442356067,1.7043218214285791,1.7192447304025578,1.6504082939089884,1.710854424646479,1.677691976573102,2.046374219793771,1.723094107586201,1.6288875614378164,1.7122338773978072,1.618408651298894,1.624773866162486,1.686342268972742,1.6940861463833226,1.6785796137112665,1.7194860182590295,1.7235992695385567,1.7051422859619356,1.7318438813505816,1.6855956387214794,1.7467182388236127,1.6966235985561486,2.0212916353775494,1.6942695908171619,1.7140881460537678,1.7038235108287487,1.6913107548321171,1.7295787509492668,1.6564279808303883,1.7555873665458805,1.6653621430622971,1.69896676915034,1.6510142701143176,1.663258030609025,1.7542929881477143,1.707120072857873,1.7640965221106402,1.7195248570883792,1.8686594386293793,1.7990799197249934,1.7786068505145314,1.7536450851711796,1.7995491010819744,1.7313002605752685,1.7045849953054988,1.6427965065396937,1.6479417011701867,1.6399350639662522,1.570860972768342,1.6174811635600148,1.5401128016956698,1.4710181860895402,1.400205056388326,1.3884193466416546,1.306868137082034,1.2263773080008902,1.314133949086667,1.167635963736595,1.2587855213587928,1.2488622986838356,1.2623641763818612,1.4024848991526209,1.3446075485141198,1.55200214015673,1.3829863976219112,1.45126379531409,1.6990298980082101,1.6948990920665132,1.6191579385623178,1.2888624343630675,1.1965474158261704,1.102562111133956,1.1600267131406123,1.175126772298873,1.1861254486064288,1.1833925171456994,1.275721150496307,1.2232284213016744,1.248899960338627,1.2698479596719834,1.3419122982023115,1.2810723650102696,1.2601850382178037,1.1894920048532576,1.1696726551759378,1.1471259029845733,1.2915179629263316,1.2248962625990676,1.2916678487162632,1.3681217049475012,1.3957727116956142,1.4521800788607768,1.547674590223137,1.4777500048303387,1.5103376903216923,1.4301452705030187,1.3791708161939549,1.3611420632851126,1.386090195340922,1.444455975170013,1.689844154033397,1.7640136197674823,1.561767205665382,1.5599058644742285,1.4936329903466232,1.5651052427368037,1.4554446243600074,1.4490427555626033,1.5442061737085475,1.4209329410618026,1.4847584828540594,1.4407113955640054,1.325906411836594,1.3219299152670632,1.3468381033532204,1.3063392360907877,1.3347073351855399,1.2393196257146344,1.2626064610641665,1.349692229546182,1.4287963627261435,1.5230251525432894,1.5834964654598473,1.6375961475427872,1.6353985933323802,1.6081264300325473,1.5572567349029756,1.6359662275349303,1.421582633801907,1.4096878588446882,1.4252797029511195,1.4142171670595687,1.5278913404841887,1.4598340172430626,1.582180031278966,1.6616088957849058,1.5173605915666317,1.654089588196556,1.591089083895721,1.5156521244916723,1.4583764048289165,1.3259185858518032,1.3081450754057278,1.286359826155533,1.2058336950752566,1.1153399351344708,1.2182850945874555,1.066875865406148,1.117327644368618,1.0653504797664786,0.9456762587968207,0.9584616160696074,0.9615517563158353,0.9237118389328975,0.8843722003884491,0.9151701304099598,0.9008789872143095,0.9217076370521593,0.8969437115924032,0.8977421101311006,1.0422093140848463,1.163139183630347,1.0622395284619377,1.146177548868344,1.001454101757918,0.9329152297895398,0.9397974446040134,0.9442806265885995,1.8092492316119195,1.1407861247012605,1.4145123611763146,1.02478752912459,1.1204880467807194,1.2581660927224845,1.2631233637200487,1.0855628945892046,1.1086717055886974,1.20955005078185,1.2193239324390654,1.105363598391861,1.0981938626423138,1.3843785583754336,1.1922520441480304,1.0789301911213318,1.3500430719579597,1.0692486191558428,1.2999776189405972,1.3373758356759036,1.2899852837826038,1.4298636049040476,1.399967533490929,1.522177174515185,1.343231982810385,1.225026519684198,1.3977568577636652,1.3190536102137171,1.0856770872424575,1.127239614931083,1.1461434826304624,1.0186150296963121,1.0012913298944408,1.0693840595227586,1.1294679020452263,0.9301178309793826,0.9396086456665392,0.9219069753782135,0.9525339982322377,1.0148627739501683,1.0043940884319003,0.901716362365239,0.8921661539109044,0.9537219843095615,0.9058211666893281,0.9176287563701276,0.927256879451754,0.9544502448876425,1.07178112056633,0.9546214357119883,0.9906124804260052,1.016949894518744,1.1487943358400716,1.1249628990638656,1.063345363143993,1.4935825242946048,1.4689121946910182,1.2167772985583345,1.1500589035453586,0.9634570465095789,0.9522957882934726,1.2783760256784558,1.0410117510612036,1.0746801975325901,1.0139223645701065,0.9203957110755697,0.9481328335915484,1.059409025853468,1.0390014166069785,0.9686787112204256,1.100618008906235,1.1155557438636106,1.5550782029436334,1.2065601803496415,1.0436039460577098,1.2187652234966817,1.373468721151925,0.8864715413848647,1.0523466550394984,1.6655131830187768,3.386607524739555,4.551917155549225,5.167113281746359],[0.7362129724083468,0.735629590457337,0.8464995933867991,0.7435683092043949,0.8619913603032355,0.9207738231849119,0.980026565631807,1.080806233640339,1.0614903314069688,1.1363837993598571,1.1549978438049564,1.1596676941697988,1.1948188752713111,1.1875666531585958,1.2019064908807144,1.1738916743277361,1.1711237677223845,1.0693563183805743,1.0146856134329278,1.0263811099039313,1.0117121605227566,1.0355047551912102,1.048647316753864,1.220753979360119,1.136856030655988,1.0474241169591545,1.0115778347012752,1.0094496638060728,1.0806928282061365,1.1602849090890126,1.155829867109118,1.1776462843093718,1.2649204635103646,1.1846324345294053,1.1463413332678423,1.1114812851351281,1.135724813388743,1.0469235578057854,1.0893967683025372,1.0691662163731996,0.9815830034370748,1.0092545442694763,0.997699243340175,1.1432032800716474,1.4045660191241691,1.8161470047876693,1.8595321110698475,1.355073453524225,1.5229814061605649,1.512599891220344,1.4246716841852323,2.12518637200543,1.352998522846989,1.4142632347089283,1.4322414760939115,1.15027889628701,1.101845550210483,1.2024383226439785,1.0997613748879222,1.5646251088345724,1.165810957667286,1.0478897398310152,1.052386892696292,1.0993799121720609,1.0810194504624941,1.0620435774331778,1.136196367645602,1.0323444273222133,1.144694357677942,1.0848720238476053,1.0907488972877892,1.1848308413956943,1.0747543443110223,1.1956567249100984,1.0241705113929387,1.460459763768094,1.0288520823359086,1.0550425768905367,1.048793684858739,1.0720326487920695,1.1292658070827999,1.1164973276752859,1.3809211069825134,1.1931205095970903,1.2803656793360396,1.1121698744386626,1.0700011517304604,1.170860476719778,1.0709493027405543,1.1491833198075434,1.0943765612441472,1.238097694169564,1.1828442685678853,1.192742078273728,1.2079674119719155,1.2948847173150628,1.3421181985117083,1.2568233945484804,1.2686137525970163,1.3774911634172071,1.2373780335316917,1.2390805088835217,1.2004157871180499,1.2133616938553626,1.1715779598756961,1.1639532248672875,1.175948699613855,1.1082811491435838,1.0745134737146325,1.1638028821115485,1.0311632734179745,1.0365617792942878,1.0666683206592376,1.0065645838989987,1.0971140912170636,0.9928818988081981,1.0597759810058875,0.9137714982340841,0.9418747226268093,1.08782089063705,1.069635289926703,1.1595408793579323,0.9372295508744866,0.9814157258814464,0.9663238105174414,0.9681652450299734,1.0797324591088795,1.006689695471963,1.019780026063277,1.0616234906892719,1.056828773924909,1.0694717804523455,1.0550626271382,1.0870419342557402,1.0670266552561511,1.0592613981567165,1.0178126930019291,0.9402135213211323,0.9242043994959273,0.9887421931373469,0.9109263057643701,0.9692695628974853,0.937623866866642,0.9638263688775854,0.9801397974347776,1.0522717769913592,1.0466402777100843,1.1198630474513018,1.1114911104718213,1.1290215292446366,1.1786578063894422,1.2512804115834342,1.2815181572059895,1.7155419713940392,1.6557767738672509,1.2832787718345635,1.2441857060547934,1.2143502235647394,1.2070734959974463,1.1255944735238503,1.0765324464611503,1.0934179412893617,1.0036019105674978,1.0443999423912849,1.016549123135196,0.9994155478587338,1.0079019610789242,1.0919400799227337,1.110216125099258,1.1734112755534651,1.059123084291154,0.9978440976606229,0.987643821589569,1.0468919080969212,1.1044920284738404,1.1865016025330262,1.1930185002122602,1.2161257882801286,1.1391754751189447,1.1392271833253436,1.1995289201592632,1.0743631132687415,1.0609282693292945,1.0850196965935117,1.0736093750808313,1.1128655512714452,1.0166906261206545,1.2099530297644103,1.395265863300734,1.151205163129126,1.3555798255468736,1.3302503398304395,1.2127489060786232,1.188453391814806,1.0705114706854446,1.102270766906397,1.1103589130458051,1.0347432212053818,0.9924079586127732,1.07671176126089,0.9600784785542069,1.036363889669214,0.9766421994958168,0.8829839181607507,0.918497655858762,0.9464752068352517,0.8875696389372044,0.8421300705468542,0.9253060527133813,0.9079920436574467,0.8917421248032826,0.8986835485304252,0.9318351537406303,1.0171286720546218,1.1055983071515498,0.9855152464578039,1.1391704060638952,0.8855835040999798,0.8641976640966256,0.8771032757805766,0.8660234493782134,1.75331524083756,1.0713667506154194,1.5682111374867953,1.0112003046391858,1.04440527727848,1.1631028470067613,1.192928985625504,1.0160299909259323,1.010152851022199,1.1357636681686518,1.1421282624276858,1.0498461335048113,1.0212435304527088,1.3507375881552306,1.0784054895185675,0.9700931243758166,1.2611223446579969,0.9605466172085888,1.156453280833744,1.2124976794596554,1.2333368548642893,1.3808327940394893,1.290647991203001,1.41784158788867,1.2782257064770621,1.1610404817222069,1.3264168747534897,1.221284982081195,1.058464678109487,1.1130056570123124,1.1429686726878336,1.0515253433043918,1.040247096332317,1.1386302333123783,1.1747545308904865,0.9755451006245734,0.9948824344797175,0.9339401410590071,0.9590948233035789,0.9947616947764533,0.9863246103415931,0.8985853992948097,0.8737104275955059,0.9256178411280527,0.8527344338746204,0.859718144025993,0.8525937481871457,0.8679828098383047,0.9886463835619093,0.8670222108937745,0.8665155648046864,0.8909544231448678,1.0625949840920028,1.0071549609511725,0.9386567464859977,1.2158357288227006,1.2775359236928663,1.0418169518891014,0.9529356040439523,0.8710197507348238,0.8508428005635378,1.060697903523169,0.8477867455920527,0.8457092477464364,0.9243822172087098,0.8193794404964355,0.8454443592663784,0.9294690631345623,0.9077209982793888,0.8905965201798237,1.045459495272333,1.1385951944799018,1.537713493317217,1.2559462300847357,1.1116768847375813,1.3649501493023795,1.455484756569731,0.9758183188372699,1.2318145459927643,1.879581129775742,3.5532511065936805,4.804717688358138,5.50442164327781],[0.5152287908639186,0.4743176280690426,0.5106334586920125,0.4338890187909549,0.4624655086908347,0.42851376521330076,0.38747323932074146,0.4317251185563011,0.4319722085400458,0.46974837139637443,0.47292480983153984,0.5112806466480152,0.494546429866824,0.49159917449936097,0.5759053867734326,0.5368484406381431,0.5567328489881771,0.5869483306377832,0.7076523553686892,0.6691518667319334,0.7706344252526164,0.7946800303565368,0.8608666103037201,1.0490356048179548,0.9812656929790053,0.8336059495702874,0.6641404078437719,0.5631507596403675,0.5603938246688245,0.5561719272423128,0.6204298857208056,0.556723663559047,0.6961128021914066,0.6743115209823428,0.5942478414221201,0.6029101103674129,0.5583334613463399,0.574653434591009,0.6178039592493685,0.6079541748868018,0.650927810147075,0.6804943847048716,0.7021300012907753,0.8529557219195327,1.256105095290533,1.700259586257643,1.766101752893093,1.12974402498722,1.3371137185506117,1.33755302403673,1.157252553275005,1.8942954266955168,1.0467106629419458,1.1650695376926634,1.2122827598769286,0.8025268686383508,0.8083622781797917,0.9566284100456185,0.8165051326910939,1.347893123449112,0.9297862410387928,0.8090852409641593,0.8139784266641633,0.9564818632360063,0.8780088492839909,0.800315416797081,0.9557936848063542,0.7147185477667283,0.927977933383882,0.7670751077959986,0.8918922947846597,1.0855246544923278,0.8815578197173125,1.0717638288161522,0.7075865136189767,1.3111761383861362,0.7057910937716388,0.702153949547139,0.6488145816802545,0.7318198872544849,0.6473861994998353,0.653407749047456,0.9843276167842197,0.6577602617118263,0.8716919813679987,0.5846523558118113,0.6020200388317567,0.6531145540340276,0.6382951587082266,0.6930625672619738,0.6638050874020441,0.9197917024537602,0.797645023857132,0.7096481198809255,0.649227712615469,0.7898106478172471,0.810329803661838,0.6401882666353615,0.5922408562300274,0.7604358377359205,0.5784718427083662,0.5944528001762246,0.562773644200108,0.5262810202598385,0.528426332134089,0.5068889144756379,0.6095890032067276,0.49717698021027373,0.4568644080928739,0.644271658851687,0.39346760805983144,0.3934999546982702,0.4138489473835412,0.3828820235428496,0.4668435990822872,0.4638072972885588,0.5467314640465578,0.5253249504518815,0.6881030813901079,0.6431846225501767,0.615280228268048,0.6257663439619521,0.4838901012268086,0.43301233051162974,0.37175447365981457,0.40113656520304425,0.5411238263008569,0.45089573705527475,0.43938542244235484,0.4868005357835308,0.5690938929398857,0.5209207076022326,0.5469193542103599,0.5365472573544412,0.5595512940895561,0.5704586350202352,0.6232182945904884,0.4748058426340605,0.5132701268148606,0.5203424719065628,0.6085564680790214,0.725917136701061,0.618040337887091,0.5464859933101117,0.5364357440356338,0.5308725041311316,0.47625304705270066,0.482712093531183,0.44069242743499604,0.4525934163782679,0.5400354793562097,0.6205474047131598,0.6829676954488813,1.404258645288764,1.1885849873067187,0.6119127089529419,0.5300949303836505,0.5271890845604952,0.5148943756488589,0.4448121462705719,0.49954494930019944,0.5064690413208304,0.5034092316317698,0.5466904641878809,0.5531783550791999,0.6418575056325003,0.6478537422286433,0.8320951732075216,0.8638488103073495,0.8942523298188884,0.6893679082086128,0.5131466551191209,0.48801004082618543,0.4839387799333679,0.5018623553006423,0.5523706837153868,0.5740629756500664,0.6814905953465978,0.5709694320462535,0.5384897290750662,0.7587223398817223,0.45591714315835724,0.49246883642422784,0.5767480470908483,0.602572575248572,0.666524627405617,0.5881064588461085,0.818345691259087,1.200228386346056,0.9032666752931346,1.222604924916696,1.0500001546802702,0.8991755693640588,0.8451988470509226,0.6704856131269801,0.7320211625531694,0.7523315247684402,0.6154475002030086,0.5751595367622413,0.6694864531222011,0.46100418787657066,0.4847571524964687,0.4512705408567355,0.41656924597249234,0.4165658442010184,0.4625577923429771,0.5247435490121583,0.45153305103761077,0.48822401114986347,0.5329273576293607,0.6019877155051742,0.6203241881345056,0.6540750041998301,0.7963070908682005,0.9495003702867335,0.8676593788412903,0.9934940586281616,0.7690345475196743,0.6280472572815301,0.6380130681293357,0.6101915924632946,1.66553458003654,0.9045771161231647,1.4307753671028283,0.5891582815606451,0.5900603925353741,0.6816564504710478,0.7342669667374627,0.5586887958464267,0.5438170299634545,0.6810657867426446,0.7627829158556674,0.7079691940620451,0.6240105359084794,1.0213437379609434,0.794572002465242,0.7380964299912136,1.063779907921016,0.607876970858327,0.6731299222409569,0.7237673347978804,0.7304024314778156,0.8923125754793131,0.8587365589647675,0.962067207844954,0.7899159569683345,0.6601080727483932,0.8745183694028048,0.7673390399032424,0.5601010324030367,0.6662453727625705,0.7405133505491003,0.6165175421339204,0.6262622480580091,0.7653902518545785,0.8313897460724471,0.6335340924123503,0.6483340251365326,0.5630986252349296,0.526550244705485,0.4934852169620877,0.4898300125587013,0.4937315067703985,0.451160924813264,0.4434055741972202,0.440528149204645,0.49896048311046826,0.451480344686684,0.5079630388198605,0.7493655711199736,0.603310562283982,0.593841711912255,0.6481836323398843,0.9624242855630597,0.8861580416185371,0.8059939589825288,1.1328483714893827,1.2004785091049148,1.0036052045115844,0.8572282290895331,0.6751535868320309,0.615992300735262,0.9326196328936471,0.6831684059251373,0.7163041040611843,0.7517140274020371,0.53723591769429,0.46492887284015116,0.4842762098909362,0.4310955903798903,0.4101146245832564,0.5044125023838881,0.6907772602139842,1.2949402180989442,0.7831655461372399,0.663358697226859,0.9909535743198897,1.0422277011012808,0.6448036709706967,1.0238993588393535,1.5297930810621927,3.2186473694377358,4.323386875538983,5.061629441676694],[0.5035988836956117,0.4227809693029723,0.44428951114105836,0.41688769359664274,0.3761301276067378,0.36006684253322024,0.30558800258282515,0.33591116799809123,0.3353335337594386,0.3114301508927725,0.310531583538997,0.3996848371240395,0.33541587570927356,0.3367887689601452,0.4256588230659445,0.3943510276791423,0.46019259962782855,0.523697487045221,0.6705833928788536,0.6268705449273964,0.7217615509054794,0.745937994330953,0.7924789386953022,0.944726764627605,0.9520642019046928,0.796368614235844,0.6094616921189352,0.5090216132297166,0.4863255482017729,0.4536810268557954,0.5073837915457363,0.40438029780957435,0.560667906297323,0.5203461537726508,0.4618181360408744,0.5058804679645438,0.4415663672950025,0.498736460928538,0.5272075691199941,0.5154381575618378,0.6103783223031599,0.6200009562160244,0.6356508016602715,0.7782849603590283,1.1987068196882056,1.6874087076036228,1.6945756341243605,1.0415919964135683,1.3356961614001328,1.2744603143229374,1.0724249503732566,1.7835173138497475,0.9529005395062295,1.0873599343911609,1.2577649116026655,0.693302894812022,0.7472253694766859,0.8940654455682541,0.7384714130563482,1.236900113444405,0.8368651494049149,0.7419689046745871,0.7385987295766965,0.9015169312298351,0.8078163614247886,0.7320875171681069,0.9129563523421552,0.6636289553304967,0.9037710002905843,0.7264973100779742,0.9470945488238328,1.1222804018771961,0.8577829097595823,1.0069980823518434,0.6541119663442155,1.3204056605746841,0.6260314175734021,0.5948590601468963,0.540799642425105,0.6401533300349257,0.5488152365376608,0.5621433015540168,0.9970046580622253,0.561618833412109,0.7899222013313845,0.5077742683905392,0.515478466969247,0.5654201818067586,0.5447171196813815,0.5763490143111163,0.5575303336738594,0.8125034621554448,0.6694449946856103,0.5481795719393402,0.49229821408162117,0.6319982238108811,0.6377092509464078,0.48220125594181096,0.44223052015380043,0.6530918234235792,0.45640207416037293,0.5292536763076713,0.4531917836433,0.4191570405083898,0.44856161209327755,0.43058071065702125,0.5743890313939302,0.41521830460602954,0.4086563229695639,0.6150000562895803,0.3276170632842401,0.3148382070416747,0.3243198581583363,0.2874536165181509,0.38623459867026017,0.3849598471289245,0.4559321230365243,0.4679415141038432,0.6733717139724276,0.6035118736806575,0.5714859072682742,0.5596326752845244,0.42351777035787264,0.3678920252249152,0.2744424003475224,0.29555412326203745,0.44317098947451644,0.35615017741741667,0.33416411344224534,0.40109041516723254,0.48644963891251,0.4384778857739423,0.43775385931381466,0.4802584242449963,0.46842491383037876,0.4945728405850806,0.6231059303247573,0.3748932297665801,0.43337222028045475,0.41401885419635975,0.5405943289862358,0.646167818140652,0.5556439028862031,0.4691636308744061,0.4671878117059711,0.4652923630393826,0.3844550231496299,0.3958332198206551,0.3357181790070058,0.34307978837521763,0.44709035288615345,0.5282578931339962,0.6416714073927173,1.4092897289799426,1.1277234935839975,0.5084630461549133,0.39598767031517285,0.40890737568320834,0.3706041782924515,0.3563869366760965,0.4365078980130979,0.4150082259264863,0.41856085074156163,0.4549036174093461,0.43672089404406894,0.5685026250679923,0.5753485401334979,0.7742219210657814,0.8581844674398325,0.8803106753934407,0.6445717519570648,0.40277600259284924,0.4182320224199363,0.3991619395411276,0.40116694358918825,0.4389172981237474,0.4665992840493667,0.624106279603538,0.45752775655298006,0.4423485988558809,0.6748563444522593,0.35528360648479224,0.3822618267638282,0.480990182265404,0.5191559996012137,0.5604145791678191,0.49155268473287733,0.7289538168746285,1.181665644924614,0.8361045812373674,1.1618706158248848,0.9728457211242844,0.8135081738898022,0.7545141804070159,0.5791561990022395,0.6411939090130472,0.6921477015570278,0.5270511361537474,0.4920261962231447,0.594184831177134,0.38653694884586326,0.4270961973933457,0.3869396369341935,0.34983787844673236,0.3817731140374897,0.4337692444915351,0.47738756385811715,0.42022166702786,0.4866108661674217,0.5132767510717553,0.5769202181798267,0.609864083399595,0.6515964484582683,0.781376264638226,0.9187230549631271,0.8214383285795772,0.9789287919571796,0.7226504561041602,0.5985987331618484,0.6089994242451203,0.5801160641043628,1.6877041923667042,0.8678206303502243,1.4789083323777117,0.5812069454490618,0.5858970216061493,0.6733615751478255,0.7053363056171129,0.5448658897269143,0.5061224651825763,0.6453846158214447,0.7074085871787705,0.6752649057514704,0.5730036235989199,0.9698774102659267,0.707003643905847,0.6814137030659905,1.01612091336574,0.5573463456193415,0.5871438363443425,0.66407869073213,0.6968517830414641,0.8502630335699944,0.8461873451043574,0.9278034167923467,0.7560745957963798,0.6420962548426277,0.8727332527641153,0.7555701449803688,0.5601678907766428,0.6860219930754892,0.7670415411172952,0.6313703458554992,0.6542050518904248,0.8057156181668234,0.8570895743725583,0.6461774508594215,0.6693294997254373,0.5793593063705043,0.5466454247567569,0.5007643537734587,0.4811892848093129,0.49596419149681475,0.43455459509810124,0.42363244058218785,0.41835820055940426,0.48313085839850844,0.41257524320091954,0.459912667622627,0.6977349833232558,0.5558854427676271,0.5237480653043509,0.5729592902005517,0.8889556551329005,0.8133470592149515,0.7517194140920932,1.0160112895196587,1.1317124533860834,0.9651335142365912,0.7911418232755308,0.6288361470912917,0.5658507906167525,0.8694580826038887,0.6466941007005439,0.6708637248945282,0.7544020387734844,0.5184191686829821,0.4149174224635051,0.4081454790337363,0.3545389046707869,0.35041002066958243,0.5019374926138532,0.7235763746857604,1.3337881973402403,0.7795513253097989,0.6730842812964943,1.0026900946189163,1.0100105719529322,0.6476726544504343,1.0755193962811866,1.5668456653035105,3.2322892646095354,4.308029592294188,5.069037075098701],[0.4206147746965933,0.41266250625223866,0.44581830047303295,0.38314608510345344,0.3968980805052876,0.3325982151465159,0.28736082747264663,0.3145173575605791,0.33264986687246245,0.3255707790565891,0.3174024352206216,0.4020401180481296,0.3366634521134843,0.33901744854074334,0.4196995645797484,0.37723218822426813,0.43264266364250986,0.4750375801757235,0.6015844736545614,0.5636377830681675,0.6612943204224982,0.704635916077634,0.7420232113420945,0.9169229764425832,0.9707620813453283,0.751443205325622,0.5518034015038467,0.45118074765392724,0.4368124299642404,0.4259063547669816,0.48290144396795065,0.39403066797835024,0.5413301843757835,0.49458152046186504,0.42772638113246575,0.4680499830929769,0.40478320934407147,0.435699474582737,0.48815031847930773,0.46991962509787777,0.5573355345365659,0.5780171585013445,0.5919708768451655,0.7869251798565332,1.2965821509345044,1.807867059897385,1.8807818371994507,1.1018363723440283,1.3451432656374205,1.3552776528505903,1.0633488980516306,1.8058332805877737,0.9783906023124777,1.0714578681981741,1.1890300112554366,0.676334519248865,0.7207765385546496,0.857367591199806,0.6791031881453266,1.2590591937799902,0.8225447066103295,0.6767085199178187,0.6917607417022795,0.8096998802195781,0.7500403238015287,0.6555577295554758,0.8501463340649741,0.6065689760171096,0.844110554576539,0.6886039465787346,0.8708886018111982,1.0725630487711482,0.815755405401734,0.9749883406700769,0.6119520085739557,1.2561267312365514,0.5866031245003566,0.5570750303964055,0.5074659562649593,0.611486072095173,0.501208948518771,0.5237511446370109,0.9414061074950975,0.5139299074370239,0.7489847794258921,0.45040760420888976,0.468365188301915,0.5166974503263073,0.50302265955236,0.5452565846455234,0.5199087945543065,0.7930298875155618,0.6581377618008653,0.536317568852408,0.48656206725027734,0.6293153241130528,0.6481747093569485,0.4838159182503952,0.4301057464546385,0.607602912830946,0.4278334212265006,0.5204770671930999,0.4194687913117287,0.402112772854527,0.44956848742323136,0.41446511488011334,0.5492214249163236,0.404748969964804,0.3919595587206128,0.5937029259254559,0.31164391195733965,0.3130556424439605,0.3250155485844261,0.28776609988848095,0.3664497581967202,0.36920434250149686,0.4172925717863931,0.438281527689457,0.628230308175882,0.5523836558584743,0.5303665314455461,0.5322682843034341,0.39789160635507537,0.34192422220300617,0.2912140239812461,0.3112550977659266,0.40775438137475817,0.3534959837090774,0.3211315360188259,0.3984420257893991,0.513147576170799,0.4565199660638886,0.46208578500776376,0.47881092142401327,0.473012316754228,0.5434803422278867,0.6465503321908049,0.4295929658733727,0.45822103792734553,0.43592367468705545,0.5263989920221713,0.6250756122979095,0.5258393141950197,0.4482543199776578,0.4345749657631559,0.43376313915862647,0.3670853486449049,0.3888734079653378,0.32080552775916893,0.3557574775253666,0.4507289067588948,0.49445142308893675,0.6288058654016662,1.357767208224,1.0777722676618626,0.4953320318640067,0.37531336704771795,0.3904857349966169,0.34929120563927485,0.3360205036153031,0.39211752266069727,0.38605215176453095,0.4053770398478907,0.4318327198929214,0.42858837826800583,0.6237823985789854,0.6371793780585717,0.9042487187866965,0.9651782222870388,0.9502048640694286,0.6908568346034827,0.4202892898264461,0.40552123977447174,0.3924456045811803,0.37681305567172624,0.4209848662289086,0.4357886018432286,0.5685208136730375,0.43818324773535783,0.4300140113914169,0.7031663703266966,0.3487366207090584,0.3833570306647788,0.4849066481844222,0.5140835181492857,0.5510469974204426,0.4915459362057957,0.7314839963880012,1.1993944905588898,0.8853296340733313,1.213523341600173,0.9634516796169514,0.8672666964391766,0.8090433150603816,0.6348536384305367,0.7279737747232733,0.7464128669938533,0.5976499527937975,0.5514818350823399,0.644138675197414,0.412011255593891,0.40716475340938024,0.3927711266776413,0.38340347737924435,0.37023181734219174,0.41017500438206383,0.5006491468478719,0.4323340515320902,0.4696431573026877,0.5059262690609485,0.5836464599412846,0.6277577975851102,0.6614573121138752,0.7739184552833482,0.9626391707256695,0.852184108995411,1.0144502991803044,0.7777946980878081,0.6362992095152875,0.6576007602809505,0.6393207668108789,1.5992015704885676,0.9372802454558635,1.4702801047929297,0.5875589259025434,0.5560631584183754,0.624356815452873,0.6566162755575577,0.5358431850020797,0.4898031927237498,0.6388679357007535,0.7328980030152198,0.7248709309367878,0.6289175765241679,0.9570144441749269,0.8110986321164673,0.7516626341132174,1.0859285806357764,0.6140781856215274,0.6089358431547157,0.6456394891968349,0.6468691572273502,0.7971684624186202,0.803536507179986,0.8646168840358668,0.7062266333297559,0.5867853342093029,0.8082658288339332,0.7147168807451475,0.5176259150710125,0.6448004049748988,0.7411590833928893,0.6052342910109194,0.6267607329774356,0.7876720770658122,0.8739781731240369,0.6591045931656351,0.6758339802121852,0.5763784961988223,0.5228634147368252,0.45325995326675056,0.45347642772045194,0.49853535417323264,0.4319686498069605,0.4125744198065285,0.4469229156434028,0.5115906789624327,0.438916542650607,0.5047177373593925,0.7579400350935273,0.5875449979029485,0.5770831984196544,0.6270209798899942,0.9663679379865738,0.8601099846273306,0.7834000759982616,1.0735438098564598,1.1316849119029282,1.0336598781675024,0.8244422344270844,0.6609129380547941,0.5839179709889144,0.861632443622119,0.6678818320703295,0.7120900809602058,0.78970531097811,0.5665701834148994,0.45047705064240795,0.4599020381395953,0.3704593306251271,0.3378095464631615,0.5138232839519756,0.6955478290853678,1.3186441283639474,0.7574340239627962,0.6118055359421637,0.8971837612564233,0.9600495394866869,0.6103629397221385,0.9997217306904349,1.3040077913596886,2.8184676743310093,3.6381006205613264,4.313371566090094],[0.49865876538188303,0.42789424749661353,0.44804257430363204,0.4249658309267866,0.37545232383759386,0.34395201948551485,0.2732828019267078,0.29481436005584594,0.30568370495136793,0.2756422792090253,0.29320895711617456,0.3997737689573118,0.30453184386279986,0.3229859853897746,0.44247732528677275,0.38615295601859795,0.41224047406035336,0.450606074874242,0.5859034046851799,0.5203730465891114,0.6175479369421101,0.645111614614885,0.6863609117706571,0.8412410670230078,0.8896176237276214,0.6977474092282502,0.48933679970971244,0.4110463779125902,0.40925729910331166,0.40117580250188034,0.49008554923378367,0.3941379464058644,0.5349126617940492,0.4876547830542825,0.4236672925325852,0.44144238527569674,0.3978202829867735,0.4102829580955313,0.4207202927016331,0.41485324484447994,0.5118390132371762,0.5215667907535575,0.5254990918034519,0.6988811482220698,1.1738541134497582,1.7217160909170555,1.7146888531543487,0.9827725964284751,1.3067487142941652,1.2464243412116356,1.011490469523943,1.6823572007589793,0.8695577713352705,0.9835827934782302,1.2637999294260251,0.6127889064256061,0.6934710324934366,0.8116313795352477,0.6745594799291487,1.175645950841132,0.7783684071715337,0.6707260229941502,0.675761538973139,0.8157305042555109,0.713779533128646,0.6362367567789481,0.8435278804955357,0.6052515942116304,0.8382822232876189,0.6987585413159573,0.9194667656421285,1.1202994164967408,0.860305129267268,0.9814839396471812,0.6227355895490236,1.3036239171800295,0.5722705934965415,0.5581857671653389,0.4838805299011525,0.5688129954629662,0.48686661372277984,0.5067802563692847,0.9686432501815861,0.47574217426685095,0.6967025178184986,0.43492981469988423,0.44027150061719883,0.5040118489505931,0.4690391736907507,0.5428371459994298,0.5183643800179508,0.7784007911600933,0.6596527209895011,0.5437837641173376,0.48809135746682714,0.6201925675525312,0.6183517439691091,0.47566935172464186,0.4078325759284586,0.6284666454033099,0.4281249718926734,0.4997464792435002,0.39974092819307094,0.3868642827643066,0.42777961877905196,0.3987213939915152,0.5879860292377129,0.382372012406913,0.3956460942697479,0.601989210808051,0.31832506432314145,0.29240760686378237,0.2770406743376023,0.274369431641319,0.35199836230075715,0.3349934064374009,0.383979066220631,0.3937591665691395,0.5874168833113036,0.5424585408145498,0.49541619213076593,0.4884598142132487,0.36448335922123765,0.3174916011243955,0.2718124081399885,0.2908217243125744,0.3692131988370636,0.3400449520157622,0.31170670175535586,0.3685927125896867,0.479254384802493,0.4336198236437634,0.42054140534611945,0.44996690608653184,0.45140222178648143,0.5131663846833208,0.6513107133899271,0.3861353677069252,0.44361934228046596,0.3767687591784154,0.49453546725533615,0.5653590958531918,0.47695752618159076,0.3948322142652273,0.3736314528599457,0.37616002615080285,0.3082548559388549,0.34242304294986914,0.2825779206152026,0.3247349140529646,0.43598615016726633,0.48109489868540334,0.6665535003941352,1.4201126773349912,1.0607700347663604,0.4744472879755682,0.35718373351029203,0.36763738625637743,0.31760354182773254,0.3279036954940882,0.36208532093935664,0.34139621361597494,0.34933637302881065,0.37145266512594344,0.3776368602255422,0.5665401087260906,0.5763823935128587,0.8305570989463643,0.9622523652360974,0.9457353256735652,0.6764096344350163,0.3700914381156661,0.3761494721633738,0.35896948309107857,0.3323570666416909,0.38598938647020026,0.3992151698712649,0.6014971503425233,0.3782298730639804,0.42338861138940365,0.6584801255619744,0.3224063244619104,0.34361774499916786,0.43850791409176143,0.4731514890954028,0.4980976193880011,0.43275097367539367,0.6783538441423486,1.167413256889704,0.8211539684763728,1.1471559995980445,0.9263567944043786,0.810779714634184,0.7536177799575788,0.5773830547168367,0.6442217283664027,0.6917791037171526,0.539450373492123,0.5070904430789415,0.5976865617369386,0.40258029734948225,0.39950852222899996,0.3821727384150446,0.4041269322792616,0.40857662320445176,0.4442714026436254,0.5202154912344317,0.47905034047515505,0.5176486923358012,0.5357331327494693,0.6154407702116571,0.665694923820263,0.6832983487920928,0.7981316798543157,0.9632232028635116,0.8662210875634194,1.058408306318657,0.8132982104203473,0.6856482024416258,0.6923323811718199,0.6701701454817606,1.6779737528958294,0.966008004557496,1.5667852593204656,0.6327421947571357,0.6150789580711604,0.6630104845810209,0.6762380835249213,0.5623936370436858,0.5185515092680627,0.642658150873907,0.7118955483525996,0.7569311351767514,0.6266873266766539,0.9417852884374572,0.7328563596752414,0.7284606644444278,1.0320847294827835,0.6116011073439958,0.5503583436316282,0.610514848099384,0.6497611877687812,0.7747856866124592,0.8386433130861678,0.857403582414769,0.7064737444894362,0.6238694023364846,0.8508593027921783,0.7431000388596651,0.565233293522372,0.7012741731916021,0.7890259450880521,0.6375804927515133,0.6731504575651807,0.8389668756900793,0.884778422254749,0.6821148580723343,0.7131025035349368,0.6294866930174375,0.5927913749395831,0.52494516997633,0.5127669606486167,0.5627386315301218,0.4937004689840802,0.46383923628455853,0.49822190285996854,0.5613834594357625,0.4858730573231897,0.5336308477008288,0.7671519560772126,0.6347385102482169,0.5936293355723183,0.6387668347458564,0.9545031719579735,0.8697566572781135,0.827063747863779,1.0081316836954612,1.1280014419441204,1.0682647616461347,0.8476317844176858,0.708754367590378,0.6149172837524735,0.8684310297926696,0.7410704562968703,0.779288995751788,0.8617937047381893,0.6077124534250418,0.47909078166600694,0.42540767907584154,0.34398140688879386,0.35670716423846777,0.5380370192648105,0.7662293086950954,1.3706076470738566,0.7788195288981812,0.6887863921804238,0.9625555340923084,0.9355793278780407,0.658574267921493,1.1367541063117463,1.4017194149592578,2.8770464694919298,3.74950579608342,4.554156668725597],[0.45582082288414705,0.4505705313420748,0.4301758470055093,0.39367199428674765,0.37869948546840027,0.32884734265604465,0.3156838378521722,0.3449393850953352,0.39021696917725257,0.35909032143432784,0.35279992358379564,0.4531985897517613,0.3604450478213749,0.37067213281976014,0.4434002929003705,0.4019978192166293,0.43035336099323956,0.4580288393478625,0.5845643978391837,0.5330969370968963,0.6144806387052519,0.6733019160308858,0.7199812392302349,0.8731799858631139,0.9452837533815531,0.6993593733478404,0.5177742560363241,0.4392737555773491,0.4248109907292062,0.4019072838335756,0.47711047075328095,0.4028589726804338,0.5209948428844934,0.47324361923561775,0.41110118537146934,0.43983356291669795,0.40312217506336934,0.433026311061516,0.45349637405695487,0.4331181438105805,0.5751595326317149,0.5393683099871367,0.5420681307855517,0.7396524911344243,1.3176260897520597,1.8778403342266212,1.9260193789908442,1.064572700629706,1.3493754794149917,1.364307546220006,1.0154502566632548,1.7357250756658145,0.9109242119445088,0.9889959382643126,1.2177146198548758,0.6318578957359561,0.7129987532478343,0.7926486885644946,0.6420998094207188,1.1760846939518932,0.790925774829864,0.6104287444736546,0.6300885935468079,0.7225541273491872,0.6784904767352196,0.5843493925469714,0.7912360089535183,0.5858251530308362,0.825694099151058,0.6863593430577071,0.8742499239892618,1.081215036836849,0.8318634507775055,0.9671244508711716,0.6067493498408536,1.2002470562424483,0.5511591558728386,0.5369765473130327,0.4780643649985239,0.5672798964637584,0.477470220716704,0.5284123087217635,0.9716682236794335,0.46476890266808973,0.6652415988364936,0.41394251013585226,0.4485565596000788,0.5075793954447687,0.46801274224898787,0.5195788387274503,0.5144305522309244,0.7340325819465423,0.6402587112551867,0.5257167126592979,0.4851390234159781,0.6126099975943609,0.6388661977980865,0.5079749761577156,0.45216543720246033,0.6292437046266643,0.4456344739107208,0.5222031096544504,0.40564576207558073,0.41266225595088635,0.46679679949576003,0.4082137981111861,0.6072820636968344,0.43763373157004165,0.43736051658998054,0.6076540132351107,0.3299386475137226,0.352182779975459,0.3423396538003059,0.33241316651289315,0.36855949416796413,0.40823951828352906,0.4286059890829478,0.45020688873170195,0.6247299395738652,0.5553876018873437,0.5299985355581597,0.5268137466028348,0.43830254328228696,0.36824013991023596,0.33962786517991395,0.36924547076308645,0.3507461852333726,0.39293005830369393,0.35158960363599784,0.414472861766006,0.5333586214118159,0.488954860420749,0.4812907198451662,0.48314296040716354,0.4822296606269239,0.58976367658531,0.6956077153253569,0.46366329650653054,0.48721800032649354,0.4738452280923173,0.5256848441640648,0.5869295392487174,0.5243623702834262,0.4659349774748433,0.4468977446914359,0.4345516860714255,0.3902023157570756,0.3994493486960401,0.31422434590702475,0.3629452019889615,0.47815411210403574,0.48041773416522465,0.6616576259828376,1.3332235079354853,0.9950724371641052,0.49586116332788494,0.38910718379528103,0.3912346723554478,0.34782978978696816,0.3353870889140493,0.3969456538127527,0.39743944048774005,0.43610031047222275,0.422770968271129,0.47263801536470457,0.7160096355856113,0.7104347162726385,1.042664271173809,1.1410121174208507,1.0791883176331454,0.7716367622123499,0.4469458058079195,0.4555894749122464,0.4226119409345259,0.375982359073152,0.40082178620430553,0.41158823792184995,0.5832179302884564,0.42199197171439856,0.45387789962640507,0.7267637185831815,0.3645137390927103,0.4013673289212922,0.49612751252517645,0.527572124760787,0.519944311025655,0.5089115927246786,0.7771561982201747,1.2140270799133033,0.944917275479939,1.2750182585802936,0.9374210312016651,0.909763933777531,0.8450750786103053,0.670008367897864,0.7656823562396644,0.7759700660993046,0.6426198190271252,0.5966099939126261,0.6751769982784614,0.45500084075694336,0.4227250073200697,0.42605344922128857,0.4407183355476536,0.4226535233149681,0.45616732696000023,0.5246424355361132,0.4875425088660013,0.52729621892322,0.541354594352826,0.6112955699277571,0.6881227123633785,0.7269462491270368,0.7743897118937363,0.9916900822410336,0.878151929538994,1.0680741831909388,0.8477493335826285,0.7020757471642058,0.7335551975135138,0.7358242553030967,1.555031270298891,1.0375917520000861,1.5189569770010163,0.628396105404139,0.5850636932186167,0.641639587199941,0.665662436537565,0.5918980971867861,0.5394148709720783,0.6759420631980716,0.7669921712462863,0.8263977350381727,0.723187646336859,0.9573443007873595,0.8589103078966795,0.8145442179390966,1.1243085237807127,0.6954193249354739,0.6056659628578899,0.625496244722917,0.625795117826041,0.746438382869564,0.8119739866581462,0.809266110874817,0.6750735405384853,0.5905083737582717,0.7888136103321539,0.7206894077244836,0.5620687013525647,0.6972735098231143,0.8029382496287024,0.6605730061314509,0.6881163072500736,0.8483885069738439,0.9331973353249764,0.7342273019230382,0.7654470556000107,0.6613274449752669,0.6025217861843388,0.5109887456004603,0.5078085625836403,0.5864048182394263,0.5130334430408074,0.491398936997205,0.5404500745709222,0.5934832110667039,0.5226402652260486,0.5914096405003326,0.8376086161310909,0.6687373359746891,0.6728471318394399,0.7219747738395634,1.0467525130406488,0.936410366565902,0.8713496677577524,1.065835852973559,1.1177256353746499,1.1333692322371132,0.8697805099819916,0.7195903603160412,0.6102262490806969,0.8626862825409896,0.7731257080412265,0.8385354706722343,0.9492607676499559,0.6858066825439973,0.542761957602068,0.5134393509617314,0.3930219674562025,0.3890694755302971,0.6062186278094057,0.7536792046351464,1.3733513577938368,0.7910317755674221,0.6207377019685233,0.8070350455151584,0.8720472854107767,0.6002188578094467,1.0150053197921978,1.0595692194481765,2.2756626285825536,2.8436158053382945,3.5676925129223562],[0.4061520353084644,0.35148847001919636,0.36563148828555836,0.3477987477072704,0.34279213069016795,0.362021876384432,0.36338912924820344,0.40410743903903845,0.42097618755001454,0.35976212407991426,0.3647910411502855,0.46413246437545636,0.3672645887926851,0.34887002138737044,0.46667882304238273,0.40716929297844506,0.39963648723707784,0.43322721990568824,0.5223699225192898,0.4713392497483059,0.5272602641573904,0.587334588417213,0.6430461458950486,0.7462277909140583,0.9053005534582194,0.6242925440941673,0.4079031710312152,0.3702017301961667,0.3990299281866495,0.4016014354955207,0.4743296042390539,0.4317494506709916,0.5155435151484539,0.4552094776327524,0.4158821371417514,0.41692129072913986,0.3971398327662462,0.38009444012640126,0.37746182411224516,0.3737414450689394,0.48112051812185364,0.4318288966187419,0.424093571673562,0.6281755859361422,1.2032320388393845,1.831411572522867,1.8154319479036585,0.9447855243569012,1.2919883443746705,1.2780673041506259,0.9430754713696249,1.5315589978895212,0.8037555052394597,0.8700431892931063,1.2789618939918044,0.5739643282524537,0.6960901611570499,0.6990355770820625,0.6250765832371916,1.1187361717638655,0.7837203592053414,0.6096597718853284,0.6065296017546367,0.6782126963515269,0.609575949251086,0.5265558203744651,0.7575333746342449,0.5527926727361554,0.7794120172004719,0.6605878474350663,0.9049718409029014,1.091492756509464,0.8301714522925137,0.8881333318210669,0.5835460349742613,1.1864878074224365,0.4981935706405588,0.5022217248695985,0.4416050111514642,0.5187746141619497,0.45220094803241745,0.513013660171882,0.9399028007967473,0.4455011370167634,0.5771348916843058,0.39566392937507033,0.3932667143989393,0.5083376237066314,0.421767513494027,0.5106031488072088,0.48311627001951113,0.7092135326294063,0.6164537431774599,0.5140710937552928,0.4879370663610755,0.588832337114326,0.6057694032569924,0.5100308634527995,0.47510960547175335,0.6642971253114907,0.4968334122662841,0.593271915190991,0.4245543197712475,0.48032956625690143,0.48752472200451763,0.47006113507811775,0.6935109076980898,0.48147329737758654,0.5032129607843552,0.6382212969819523,0.3927320987700062,0.3686343417218518,0.3565043790418111,0.32630410526228354,0.35203363822812245,0.36840832268154805,0.3984911871469352,0.3530355931751186,0.4938804442365352,0.5098139567101136,0.4389129847190665,0.4487759805504023,0.3865269363899769,0.34116834792976714,0.32702621701367485,0.3525507363481729,0.3647449053728423,0.39205631760640763,0.382562573371385,0.45098588503037845,0.5381031796682485,0.5172742334231746,0.4746944833844726,0.513919490190965,0.483668350468274,0.6152381499608628,0.7237193143799445,0.4298422049018875,0.451203174492856,0.3910585412260061,0.44820809900006453,0.5032101048573391,0.42254847062420153,0.3622254630456218,0.35232806215311063,0.38644892868473246,0.3476881333827626,0.38691271254920684,0.34163388404093115,0.40086344797329393,0.5322731411020107,0.5038300495906077,0.7252422883654003,1.295728790754815,0.9373715807452915,0.5448123426964192,0.4501418823835006,0.4586104790925249,0.39264315860473276,0.3926414252479987,0.37243206430347736,0.364953144570089,0.38061377214180947,0.3666329997610483,0.42452203104825387,0.6765526293658873,0.6695051406913394,1.032872130204565,1.1930545727823056,1.1116835656786586,0.7821518368052377,0.3849391106982235,0.4258569401927308,0.44183022626858653,0.37652341135984013,0.41752837389665454,0.436484953623511,0.6369057318774577,0.4029920308314819,0.4965605704971149,0.7455523692028434,0.39113956302173764,0.41927961434178956,0.5043147997957115,0.5206025353777584,0.5192606920902488,0.48804592946782294,0.7091037544623726,1.2089009636785457,0.8467962103151161,1.1216862351891248,0.8504090795134924,0.8590656945485459,0.8133147088677196,0.6522986016670935,0.7298371937159365,0.7606788707042151,0.6144572609305178,0.5610647963275699,0.6604434316402621,0.44953555215041,0.4293318611996784,0.4356319391001864,0.45045152114245113,0.4343022866429462,0.45644022671501494,0.5194188923752413,0.48737091598762555,0.5494546932264638,0.5291242989177275,0.6016641231869928,0.6919745309143935,0.720738926009898,0.7345068515954362,0.9503611264519988,0.8184155424729794,1.0754826508351876,0.8338951484636533,0.696921464195857,0.7113521935418617,0.7308128552865519,1.5796359070308856,1.0669654226855607,1.602521537995893,0.6592280119741863,0.6229873810053229,0.6699761976500678,0.6596002638045353,0.5998913027039158,0.5193347411304503,0.6416324314564742,0.7013357855898522,0.8226377922979718,0.7082029733120299,0.9350841605698977,0.8265284483478018,0.8077148957762172,1.0991262402079918,0.6870525477768861,0.5721347393903794,0.5689674476957604,0.5891223673437027,0.7089270564939996,0.856563034350159,0.7947177191117798,0.6724991217713673,0.6365547819551229,0.8612829091319564,0.7592936046857568,0.6144309062994431,0.7749624678685982,0.8846724630481918,0.7157502045177804,0.7530537754707001,0.9267557892542356,0.9814344215646236,0.7631286278858967,0.8066873967517466,0.6871762767466526,0.6445570131206556,0.5625948853076974,0.5522746827583731,0.613445841618126,0.5229811617143132,0.506010825400501,0.5453325959558369,0.5965086423351353,0.521402148179378,0.5901997494591881,0.8178051512612786,0.6775307794216568,0.6565244243726146,0.7080765077231659,1.0463740929333982,0.9289265250239266,0.88756244049342,1.0102047405854528,1.0921149787094286,1.150663321270944,0.8664875181748034,0.7143874832245042,0.6026282642691265,0.8544098044824203,0.8348907776462349,0.8976934350701388,0.9928365015377548,0.7165124051027549,0.5660448128264454,0.511854876589139,0.3965453956884899,0.4106573351399583,0.6722996732958632,0.8218923846264153,1.4042146394329842,0.8141702359420975,0.6685530492884176,0.7669416595208159,0.7910047363232678,0.5584279512348419,1.0376639919915953,0.9205159736165015,1.9008228296724778,2.4186756173265334,3.2218456407794482],[0.4363525917569865,0.3314760220454508,0.36243063767961253,0.3435394743984329,0.32408307555844995,0.3432522808675808,0.2865907409309967,0.36110913086493507,0.3489817516980042,0.3179712116609635,0.3520854337138127,0.47792530032892516,0.33097546938945016,0.3530324249780958,0.5137668347059818,0.4287519914997956,0.42085594062931025,0.485792930944193,0.600444071351164,0.5309794975199899,0.5885191383022705,0.6206950487306638,0.678161448571364,0.7995415441667594,0.8816521788148536,0.6684269152669702,0.46207006404185497,0.40625964930885633,0.4361717253776463,0.43886990293682154,0.5125846315120314,0.48358257066029536,0.582728017421312,0.5132518715831704,0.4656950031349898,0.459372290937341,0.4292836106079057,0.4168711660592192,0.3955844714328861,0.41127566121942954,0.515904169264069,0.49236320799833144,0.4716491977510464,0.6612966935543287,1.1453912543941678,1.763969866887026,1.7078110321495192,0.944270044380286,1.3161133737112312,1.236046368774466,0.9617810039503875,1.5324466124801246,0.8173516605124729,0.8883497136795541,1.3156221430195403,0.6009301737442757,0.7387653699503308,0.7275820874696528,0.6745546230993793,1.1079371710246662,0.7612275983926657,0.6566893241534499,0.6610091981925357,0.7890602093887789,0.6700517678717779,0.5840032105148254,0.7911166522657355,0.6227074971835206,0.8384086830069464,0.7257321216498054,0.9877349431851088,1.1841523404978458,0.9191137127991156,0.9725966570320225,0.6619787751199592,1.2920700907196938,0.5910430381306876,0.5863458744497295,0.5148184494273579,0.5518274553458795,0.50330181984917,0.5349372128947476,1.009431287945259,0.4888722067144994,0.6460559071832175,0.4647685729581192,0.43893458193843676,0.5144868906280693,0.4657749394392435,0.5692080886589657,0.5493135213076498,0.7189683196778412,0.6389900400676664,0.548631971594262,0.5144655919188212,0.6040298985381465,0.6018817317803024,0.5377876191308365,0.5058318854620559,0.6788968376032107,0.5263041489299138,0.5653304332854215,0.41997271670676956,0.4404250021375799,0.49133196210315366,0.46687985617754035,0.6933255189113057,0.4091436154957633,0.4615453022727718,0.608759400405147,0.38414832329049176,0.3099451136000386,0.2933101192343049,0.3109633908902003,0.34492812316041743,0.3377825431568447,0.41394686813930714,0.36564444590111367,0.530604428501991,0.515620679836608,0.4581027723115241,0.45944423603555107,0.35611907559086836,0.31425425886421904,0.31396506455504086,0.3049269586032202,0.3346286479847486,0.3192225285044323,0.32651367961440714,0.3948549708232987,0.4640858641342981,0.4653581562127979,0.40847665256333243,0.4945126874528062,0.4266087709742199,0.5237589822605485,0.7075248225591984,0.3964565748024574,0.4462344113702626,0.33828323914719177,0.44597511898395076,0.493052096738714,0.4479203345472965,0.3581371959744614,0.3451290401238672,0.3768953766964298,0.3121503667205512,0.3599985836677475,0.30644191894604433,0.3538248017329771,0.47331448164734474,0.48751169843145137,0.7746806432450168,1.3916779723839892,0.9589225007857148,0.5493022253856964,0.4442008080592593,0.4385074665995474,0.3907914555508957,0.36124026037363755,0.33378557985807195,0.33604617608354737,0.32069889962941517,0.3347114423545376,0.3903076235244121,0.5768502578360524,0.5819886125703411,0.9183767609287778,1.0963074476518837,1.0403778363102798,0.7199829135063452,0.33453406157449966,0.3953745630416706,0.39600497162514686,0.34639087315021805,0.40924231609332395,0.421241088526484,0.6650703103741427,0.3887919082485832,0.49955315987235266,0.6506533332545759,0.36094230829071,0.3758738073908364,0.4380122291883062,0.46146531907415966,0.46999366993748,0.4236247745494898,0.6517874901597337,1.1825598786199387,0.7824809413618294,1.0348018625442164,0.8200546855684001,0.7635449346797353,0.7261058468624603,0.5569640037497908,0.619821224760676,0.6920430628032544,0.5395044281476554,0.5099696727673448,0.5805056480276292,0.43662483544362063,0.41848291726004205,0.39666852902387195,0.4656816365264324,0.46754907969785914,0.4696631133677511,0.5434134338527694,0.5382763365396285,0.5938588329080086,0.5626083723542691,0.6525790335598135,0.7314937886430155,0.7316643295714813,0.7809355111525939,0.9629078390325495,0.8562732046167393,1.1190287811185093,0.8892434131065923,0.7611857573607848,0.7654557090503314,0.7846061184555206,1.7405991672683396,1.114705500971741,1.643111343207546,0.6883669849133697,0.6860387381780056,0.717485097548458,0.7198068423070543,0.6519814654451082,0.5663862174343305,0.648752834376255,0.6961890078007792,0.8419787335590272,0.6912144997625599,0.9164052131877628,0.7848152079405752,0.8013668736167975,1.0396692124605784,0.6727437325786404,0.5157095891622722,0.5403178325903106,0.6043320626044522,0.7101196444051198,0.8682058829421809,0.8093145088814256,0.6872820975878263,0.6755031789789387,0.9131461328054652,0.7600388588733695,0.6536656976514565,0.8224093553145475,0.9082104465959221,0.7345503576576301,0.795850242914588,0.9660452757147279,0.9631760033831315,0.7851429103366259,0.8372913724727609,0.7378178070406124,0.7000755762888676,0.6232790399209044,0.6135621514063984,0.6712615305577739,0.5730681882931254,0.5377253323449251,0.5935300898961957,0.643435342623688,0.5528271606122124,0.6092986166740865,0.8356730048435207,0.7177519545856901,0.6591727898775793,0.7135110037916649,1.031320840104665,0.9334122242187824,0.914545481157946,0.99030873547722,1.0996959396611403,1.2040755836555044,0.9170793053837643,0.7674180140355942,0.660924735873765,0.902517423517656,0.8789556026331418,0.9273613022349259,0.9788097784950358,0.7185982265278453,0.5443312727821786,0.4622714354593218,0.3627793349095343,0.3853147237421945,0.6218563280827618,0.8370311367847626,1.4146878776490532,0.7265527321588067,0.7199229759576371,0.8483464517885437,0.74568317623126,0.5783912861373429,1.1812350638529627,1.0746580112692334,2.1341905967715107,2.8301021979891385,3.726386623518326],[0.4421363126157515,0.32363605079211066,0.40171259280096955,0.3159571333137182,0.3392767531594714,0.3888723371820399,0.33001075071521657,0.39614957178603094,0.3660637875096734,0.3105225324777142,0.36153951949250807,0.4979969405850251,0.34108285072415817,0.31231422343575105,0.47990366663023226,0.39741537192578325,0.382605452617325,0.40534501442938864,0.4847990441153479,0.43830024328076145,0.46898295789697714,0.5216690955205897,0.6020726975290975,0.7098544534873593,0.8467938742216309,0.5713252818208473,0.3715924146684568,0.3293001790852499,0.3809319172841324,0.40272899270327245,0.4798739147853904,0.4923211261845842,0.5625054747691519,0.49684914506581734,0.451355550352488,0.4138416878247747,0.4118929531121177,0.36246196440218287,0.33455453640710886,0.36665867558473714,0.46576668495643486,0.3928153105116969,0.3723747549663011,0.5780671784661052,1.087421646610328,1.7727265583938976,1.6756230729197712,0.8501587691573954,1.2744166411404734,1.186339773114467,0.8885406995767748,1.3531122843823669,0.7396567535756153,0.7542018316333816,1.3102670741706446,0.5818005384164655,0.7546739702953842,0.6428641057415926,0.6515035354046896,1.0689042558388482,0.7508873539254158,0.5987816040718467,0.5912116707271001,0.6605891626586672,0.5444030913124317,0.4837563192240987,0.7257298431932475,0.5339446846720441,0.7386088867507716,0.6506494748149905,0.9225106559194719,1.1240899023972375,0.852595192628122,0.8494382294246335,0.5950324351477951,1.1791935988790236,0.49750148071012756,0.52108160867057,0.4697180315726093,0.4901762627596515,0.4756337344320941,0.5128476746495273,0.9766250113517395,0.4938184688657061,0.5435350892426672,0.42698114760031114,0.4074567580353101,0.4884407667808534,0.40475465514254344,0.5570942445094728,0.5019476901312674,0.6746817708914871,0.6078762199921283,0.5378384280570887,0.5041884146589931,0.6056633902656947,0.6193385453936155,0.5500303426250318,0.5378372592580618,0.7334364297402266,0.5544051121441135,0.6307555560493207,0.4431357851687594,0.5133637583667523,0.5239979390842117,0.5375433858819774,0.8053382789720922,0.4929193638563422,0.5212129506371326,0.6543126914242587,0.4465839711786805,0.34765189936922564,0.3127960160304587,0.3302802921206918,0.3183780502180153,0.31070302017849555,0.3828484503043617,0.30991556773215023,0.4356530212549077,0.4723592472816158,0.3877901684882131,0.39060261665530477,0.3198916817453936,0.2873610121198452,0.3065445912368646,0.32739021944984065,0.3781857230166898,0.38504078774616346,0.41429118072915083,0.4567974421804693,0.5246249710921445,0.5489676163776747,0.47534097792065216,0.5469594659530103,0.48712464673318895,0.5869377819582147,0.7533622615799653,0.4306871956152571,0.4887940493899402,0.37112202551967655,0.43882284495823887,0.4544817720455846,0.39556131148294643,0.32777855751217483,0.3054266318936104,0.34314788995199325,0.3012312666861792,0.3765774100475588,0.327582047904286,0.38593368838949366,0.516919758563934,0.5059269973101405,0.8017466111381482,1.2749856227400924,0.8860766597139834,0.5872822069473523,0.4889460801586297,0.48626605451146276,0.42140432699276653,0.41548355058245867,0.34993286619934255,0.34168977522061433,0.33713303800408895,0.3356080616156921,0.4519459722222599,0.6445468715857268,0.6203698345739925,0.9768282617957914,1.1851866630664838,1.0987996751756077,0.7736074032411039,0.3803241601351633,0.4409502675210732,0.45182035766546425,0.3737058273480424,0.43262119691356593,0.4353708650935128,0.689415374361807,0.39594105912217203,0.5859380289301387,0.6874471810048269,0.4311670959672138,0.4584642008230835,0.5119507427421326,0.5055867029371218,0.48829303622885734,0.4517895961260169,0.6549820342516564,1.181012569599743,0.8109847165446954,0.9761407594349001,0.7842578856410273,0.7839050806629347,0.7551724331211672,0.6049453140630328,0.6578468856385782,0.7167305353769112,0.5896704222514583,0.5637472273287945,0.6258377427409407,0.5103313633095741,0.49532288631849203,0.4745702236859663,0.5322001594271911,0.5351715982303219,0.5300311809395569,0.594493655163681,0.5945002442057509,0.6362499134966151,0.5928595612877907,0.6921475946406529,0.7584292646624509,0.7528056569256136,0.7985151607884545,0.97791391772231,0.8980559608428231,1.136611471378942,0.9493959078826613,0.8116377919406481,0.7945835792846929,0.8243555799156015,1.7529684004408697,1.1636970520981442,1.6735573629639244,0.7225945040328047,0.7253351165482055,0.776854497079528,0.7642213584547938,0.7139157886034632,0.6173296137650666,0.6894822728301233,0.7280526865336814,0.8978068636916188,0.7448989342623406,0.9222267249998158,0.8283641395923207,0.8412104917382867,1.042711803371565,0.7393281679456268,0.572226002817613,0.5766732372624017,0.6319687905018269,0.7272614499714325,0.9316188358670071,0.8347012247064639,0.7392066019485312,0.7428164150958743,0.9615059923160387,0.8106431141807333,0.7214413727756505,0.8941495524122507,0.9869050558793347,0.8000521534081854,0.8549450394174045,1.0265813011841396,1.029523902072579,0.8211701201282391,0.8783792876152459,0.7757369705781427,0.7487332692191212,0.680747293110155,0.6691386691146579,0.7159049147801028,0.6259273866087436,0.6036151503953014,0.6526640448705072,0.6943909663307791,0.6144802543422614,0.6682700027856314,0.8737793550246232,0.7857049436812764,0.7102441249048997,0.7729164654397557,1.0593577848883333,0.9860091793802688,0.9830518087327914,1.0304289955337498,1.153968406632846,1.2884210151674043,1.0156861746586823,0.8432545075638911,0.7475509367906576,1.0057580245606286,0.9779577584875676,1.0178071963111301,1.0303941248864006,0.7754654922165941,0.609844357803446,0.5299505394628289,0.39992476863556387,0.45249355267668795,0.7101820510778857,0.8910938931791128,1.4159053190954571,0.78423551316806,0.7615494131402457,0.7562182482044282,0.6919102082146408,0.5496984796405229,1.1227267085664379,0.8182671865175621,1.6240479663022098,2.342995821740579,3.193112603174972],[0.4281283559939124,0.3682255043559356,0.44534536615406967,0.33091890203395086,0.34746650244197724,0.3580857407107666,0.3031510373892609,0.37128113358770204,0.3346018614247394,0.29237270966623624,0.3515011013849868,0.4872189107980732,0.3235151703059091,0.33699600795491347,0.5253054592377634,0.431365170372079,0.4040376466579615,0.45718244081112125,0.5582133233141355,0.5013804326191488,0.5538318917758269,0.5859548889657643,0.6636106045859341,0.7831970860004676,0.881736763747242,0.6430014760256025,0.4328171909412515,0.37082871269017575,0.4067631056535996,0.42311653800182497,0.49954871842224485,0.5006387968530089,0.5791424223268817,0.5384289607884316,0.4741924745806158,0.4469229778267365,0.42518868695815615,0.3788872147385727,0.3509357459810526,0.3754639648440176,0.48833291017442865,0.4482219278483752,0.42087684868435826,0.6140836835136088,1.1365135993915008,1.792395993916485,1.7286609133954987,0.9058022374008318,1.2969480284489132,1.202592919613568,0.9117496014137032,1.4288688511780234,0.7829247193889565,0.8102317461893468,1.2991326176132167,0.5837395765222929,0.7407748527085434,0.6839280266748715,0.6631155098180377,1.0932277856875583,0.7316457049752436,0.6256806106766678,0.6316939224224044,0.7770019819239595,0.628825574745335,0.5576498568213714,0.7847829712133092,0.5975329395164658,0.8125881968012476,0.7115460263637771,0.9850303761467156,1.196349197176715,0.9132277413077888,0.940917042525168,0.6658721269212384,1.3126459287403853,0.5801457162368605,0.5805946091692574,0.502216523776152,0.5405078082682194,0.49707453831875326,0.5180896892779208,0.9778121340861362,0.4827438129571574,0.5954747642680458,0.45068208028159373,0.42601370280466627,0.5090937442121869,0.45297582408834525,0.5815628350368592,0.5519317917151811,0.7233557474677063,0.6357649320731037,0.5778465712925374,0.5346973418773544,0.6338575982114703,0.6301445053514945,0.562575823816495,0.540730579288663,0.7347544942869251,0.5534910954404798,0.6242460732686712,0.44090409221386595,0.4924919941805374,0.5171314108699253,0.5040567098270291,0.7894839248953353,0.4843944293339052,0.5276105234784816,0.6519819722447283,0.4359510079528488,0.33117893710929025,0.29024021713253506,0.2983166327022679,0.3278809117987618,0.31292204274865865,0.40045585584181304,0.34605116463570323,0.5051039004404122,0.4971443078645159,0.4380975331573397,0.4319060376080392,0.326655203358314,0.28982840055572356,0.2951606378143134,0.3049261898822195,0.36804543091090947,0.3675335598195766,0.39181012873708837,0.4234675632895422,0.5076859913346949,0.5259436483094331,0.45253174818778447,0.5170991962828734,0.46083437483370865,0.5569142856012365,0.7430804514801892,0.42900228418228936,0.4679045338508228,0.3515784533417241,0.44374118426811865,0.48026938943672076,0.41672920880454006,0.3379557250260089,0.3195531140592149,0.3486568358786176,0.2933315599998339,0.36947357524574465,0.30664711337596073,0.3574667621421696,0.4884123544616731,0.4966954391029863,0.8187889129366361,1.334955030082031,0.9258831439753766,0.595982941851525,0.47637392129310735,0.462728384418285,0.4039367164925759,0.3891975629946577,0.3346542013312454,0.31677353499464855,0.31974846219472225,0.31110058145789526,0.41869425286815914,0.6247764473542753,0.6166381139559811,0.9902056321252217,1.1914220473148072,1.099218328782568,0.7633043073070956,0.3615406807180453,0.4244428316433147,0.4123953995856126,0.3448638673568069,0.4066926452203343,0.4144949563179237,0.675161155351885,0.3812883017662537,0.5319215059989276,0.6319209995738106,0.3850227385807197,0.4061948200126386,0.459689293446373,0.47713721240302104,0.46780056883433513,0.42755593980335965,0.6526919008985006,1.1697743510850067,0.8136725213024543,1.026943140445238,0.7861219881729489,0.7858522452056422,0.7541386568171614,0.5934343437943809,0.6658725058861015,0.7254043588403114,0.5999553535996093,0.5831476899627652,0.6211600656718264,0.5362669800825975,0.5199713674457868,0.48449592805325675,0.5644035459772956,0.5833179169866656,0.5689349169299134,0.6131114811825237,0.6480479891902021,0.7044587987437912,0.6418941215729846,0.7460947981326149,0.8366114857470125,0.8185084518150477,0.8226115174765319,1.0297990183421466,0.9489207266776732,1.206773190560222,1.0279902481916228,0.8858050403686748,0.8837785389547964,0.9255964491767456,1.7265782948905501,1.2667673132779722,1.7298299478127455,0.793808514258307,0.7970767578395376,0.8321838614216674,0.8158600048194611,0.7781215761502471,0.6734409712656104,0.7261843380643112,0.7725599434127414,0.9464821338878903,0.7783065108044391,0.9163995654904393,0.8879705719338369,0.8767088697703915,1.0597580725354063,0.7545286427261908,0.5792351040550964,0.6053421414533755,0.667909351824545,0.7616465570778838,0.9913769761398622,0.8751776268016093,0.7725149331449901,0.8141393455477703,1.0271874160374783,0.8689236329837342,0.7741562461495582,0.9640821051768277,1.0504848019404984,0.8565136032799705,0.9383281723161132,1.119311206269247,1.0986120570046682,0.9106859676615171,0.98249438204893,0.872456931056398,0.8414833252316696,0.7538425513564512,0.7488168366844323,0.8129671161034075,0.703305585107141,0.6730634026474414,0.7379200261068615,0.7739336603810646,0.6776477327263593,0.7443018240292101,0.952771864046534,0.841559336201793,0.7707712281353309,0.8517862831737745,1.1572514367099078,1.0659009230481988,1.0598194810348982,1.1245934204794261,1.2136372201761358,1.3768859580142614,1.075702727193675,0.8898344712488068,0.7851810269005326,1.0500044264622805,1.0308033393102523,1.0909493749786825,1.0947766131871812,0.8072128978941879,0.6242102190754348,0.5344742039421467,0.39522500917280445,0.4649783715115134,0.711376978972672,0.9004487087891309,1.4228570635908382,0.753647078675232,0.7830862174016725,0.7837220977698652,0.6789526855051308,0.5520067422851096,1.1490706328877838,0.8763698072908613,1.5279054383213508,2.424992332692984,3.3672247347845734],[0.6185382155737774,0.6035846372755982,0.7106741348485022,0.5561590821904404,0.6127038030847524,0.6461648207744263,0.5926437239910068,0.5968992358189675,0.5709735207064591,0.5316830299569242,0.5287285434162174,0.6168236734494613,0.5331074679884307,0.5135887030306706,0.5953304367165493,0.553650228534524,0.584625524071753,0.5700525989351961,0.5954650122611398,0.5932175816531633,0.611404333718727,0.6569059695048532,0.7500384565159471,0.8113941770725134,1.0177282492885429,0.7301804970789534,0.554638523972187,0.5231751898232289,0.5423790630918761,0.5499916533801302,0.6119172725376104,0.6229131703423575,0.6705999280991616,0.6153878344487,0.579874142201379,0.55499670209396,0.5607992893835438,0.5483306544595627,0.5551821723522946,0.5572971288714934,0.6111087839785381,0.5647316629489433,0.5523423975695398,0.6187521021801203,1.11265999960191,1.7570991468114028,1.7176435978904596,0.8352577030620947,1.2243937030336798,1.1725239127585565,0.8724564748728665,1.2753611093201125,0.7421697526101215,0.7938327882739314,1.4353929368773142,0.7074348998597089,0.8325044170281646,0.7529815789462584,0.7639742666790511,1.1279868122314851,0.8659598846451974,0.6977732982734235,0.7089841620229348,0.7620434464584046,0.6795634529918889,0.6611130344551986,0.8890115196384714,0.6697448006958403,0.878458252130064,0.7821683340862957,1.0183723634899018,1.2045599922505155,0.955793504826956,0.9732554940473213,0.7265444938453435,1.3047961001739905,0.6410857328295365,0.6423004861442652,0.6063085612947718,0.6111468722419804,0.5986030031765521,0.6617439042794475,1.0527523256877127,0.6269984087829076,0.586681245010336,0.5661580477353896,0.5519732379466263,0.6294431284164786,0.5594601345132293,0.6622301060291588,0.622034528683748,0.7810943903309823,0.7257623384629434,0.6587352848607803,0.6289950933459107,0.721705113524394,0.7076181001949668,0.6787200772681384,0.6653794459460216,0.8380351176559209,0.6621534068250821,0.7502032929365418,0.5914378782923089,0.6908244022592612,0.678348043351831,0.6978135919460715,0.9689439182437897,0.7308898708497553,0.7437801872832218,0.8301825058779859,0.6096521704018099,0.5694302520068784,0.5622388088946202,0.5565930115518168,0.5309485964316748,0.5680566584466016,0.5499316168238821,0.5452157270431958,0.6611040903967073,0.6732955145452316,0.6056573205156084,0.6025606145611176,0.6142409519813232,0.563762677343468,0.5599888525907858,0.6371941843672947,0.628464152524785,0.6777853305372421,0.719397053514805,0.7205448332403969,0.8081668848335566,0.8240526483942783,0.7499309175064758,0.7582557133099259,0.7692172169735022,0.8786181981300336,0.9714425812774342,0.6559113680055731,0.6467834808769903,0.5890753341075164,0.561562618908162,0.6072120243054745,0.5786992143685575,0.5524443496263802,0.5528814404387893,0.542076362083888,0.5366293021208427,0.5722621427257761,0.5488937005054401,0.5816710842959668,0.7070852413006661,0.6620808578016266,0.9028497569387705,1.2351898648902893,0.901123343391229,0.7259172002980049,0.6277197504481344,0.6432331671187592,0.56787959110481,0.627145958042888,0.573337083004,0.5744331403504648,0.6060600144018365,0.5720094400797762,0.700877115294246,0.87873796899573,0.9248756805961131,1.3368168521940702,1.531637149426051,1.3977770345285165,1.0593712049400394,0.6132585701232016,0.6386069349268283,0.6720834701467859,0.586357311552696,0.5924925482654614,0.5810277716477541,0.7875805572861562,0.5654113303477568,0.7263973053134807,0.953540316333655,0.6715058421484065,0.7016861538089099,0.7595530525221503,0.7332530935651737,0.7081637081744192,0.7089798852121119,0.8107014354644609,1.187423124550371,0.8772746677854717,1.1371186869547574,0.9588322308519301,1.0268015295550248,1.0015022900340576,0.8800017994875433,0.9519288300799376,0.9779737964009887,0.860722879886262,0.8332263544152464,0.9126776211519252,0.7798981355941011,0.7518012214765345,0.772430936599212,0.7975608436662684,0.7688258237054044,0.7593872180659439,0.8334674202293261,0.8147566292209552,0.8524665478311733,0.8066825732817694,0.872633425958135,0.9370086222148633,0.9410927955616213,0.878504468083262,1.0659256029738329,1.0632731435467055,1.2652745667317207,1.170100458642347,0.9922307429710948,0.9817137461765134,1.0294288740419697,1.615852805354415,1.415374827519778,1.8457189297465737,0.9689793966207904,0.9471800415630747,0.968324582037738,0.9057006505809753,0.9160814848953646,0.7987915990000989,0.833766401887555,0.883184358960225,1.0605823936473306,0.9539994158128965,1.0711442189706235,1.061914594861703,1.0876990815565621,1.3309470621413015,1.0027695140898003,0.8262656182478204,0.7361434136066746,0.7571693801697367,0.842549984223248,1.1258375944723837,0.9562490799615694,0.895893755462502,0.9282750553676903,1.1026652596482642,0.9406382508618945,0.9144441283655937,1.093097493502565,1.1854872440352164,1.0062994359818758,1.0745292524776395,1.266773085914077,1.2515241827881334,1.0446991263692549,1.1210184268727916,0.9939718496215113,0.9805904809817046,0.8935381170742891,0.8941006152546301,0.9505196204442129,0.8450530257711671,0.8367286697426506,0.8810745236062653,0.9099897354889601,0.8535820663550234,0.9239932235588477,1.0921571308767177,1.0116648629326164,0.9727853239111222,1.0500656495395257,1.3543668490098528,1.2733014680672834,1.290295347199144,1.3623417451192334,1.4667943217059247,1.5867904492658063,1.3192752677420798,1.078499075652495,1.0036479616994314,1.3559715954855847,1.3362859531130473,1.3937586659400574,1.3790651992777867,1.0733107314833894,0.9110354437188959,0.830185746078697,0.6948763730886484,0.7874342563706911,0.9796082069327867,1.0795624850379786,1.5220409469433955,1.0426849274342471,0.9144414084305246,0.7034897028639716,0.740273702219632,0.5978356621808103,1.0793119554845254,0.9018444031456708,1.2440536065652195,2.4512583715240246,3.4252620910830887],[0.5104916135322454,0.5672282286961751,0.7045522916669823,0.48344349465824654,0.5345895086936576,0.5314269323898423,0.47076548271876634,0.4885807653672033,0.4493362498876174,0.4089779886707161,0.44245926494951504,0.5943808589021765,0.42909822375402557,0.40183825354198555,0.5358949188162663,0.48248601724652235,0.458007512692531,0.4745485024734096,0.49455188558252605,0.4975742442654356,0.49174357785783246,0.5598109057317363,0.6590765854660967,0.7524424018532277,0.9102659194209122,0.5992617889385222,0.4354729186882032,0.40660290914974273,0.4404368298859033,0.45507665619852894,0.5383638213992405,0.563108044104218,0.6183017557369384,0.5786557527390018,0.5337818956383158,0.4851211930108955,0.4994172007948777,0.4724187882642843,0.46018803830266264,0.49127061692268303,0.5799682153742138,0.4785292501018829,0.46602850956030084,0.6188452158015946,1.164649106273988,1.8761247096675018,1.770820737781215,0.8481760082119768,1.298513991482639,1.199994446312017,0.8806594624352763,1.268740598921311,0.8234801306676972,0.7633423893413385,1.3708133039554622,0.7086585834734682,0.8459045354536219,0.6809285429596211,0.7461029989339578,1.1123038124517994,0.8462221172173887,0.6247209547611865,0.61607062514431,0.6279746258051998,0.567380389926046,0.5215334549445302,0.7298551249457613,0.5693025919821798,0.7229667001236112,0.6804300745024392,0.9366753856713775,1.1160864550449696,0.8847786355031372,0.8516435031182593,0.6342856759429294,1.109935684688842,0.5314742334838539,0.5569063348411895,0.5219454839243128,0.5438962071956819,0.5701845278084662,0.6005360835363031,1.0287432745989822,0.5622446707341474,0.5293537391148968,0.5095526647496007,0.4864833449343065,0.5669996715506017,0.48056068085108,0.5965042875654751,0.5587641350063144,0.7221268247255132,0.6665027947606738,0.6262502178967337,0.5908137879368106,0.6925716537329865,0.7157447419702164,0.6267016346720922,0.6246676008648558,0.8323729480224087,0.6272817479138123,0.7067728778098812,0.5253494830899775,0.6195901974482831,0.6152451676592463,0.6283919127590555,0.9591333886049195,0.6884072595529901,0.7062176898795148,0.7552310280838129,0.578148751197414,0.5059817897769173,0.4401673059180411,0.4523535172138874,0.41678545419074386,0.4434579498905253,0.46997864378696924,0.43348041788244907,0.518864344307668,0.5162561475038179,0.46660462344215214,0.4534542678285794,0.448428746320849,0.41821823009301007,0.4222355960732888,0.5182347441944378,0.5446001339709604,0.6131256177463614,0.6607752132809516,0.6282112492534936,0.7760180142205799,0.7887979754986264,0.7276301009578942,0.6971493309365359,0.7197294268290688,0.7858414575411318,0.897343406521156,0.6556856241921557,0.6455153774486742,0.5456656653500803,0.549888975201632,0.6030331521516697,0.46910738586338646,0.46457152360527815,0.46096988270453504,0.4509303133980152,0.44130417921787896,0.49385798969366995,0.43997470663863436,0.4699744669314248,0.6098818050336581,0.5795601905450071,0.8633152326175033,1.2186975364192607,0.9018834867037057,0.6945326937055525,0.5741923429859674,0.581520495399168,0.49428868966195105,0.5161850995331865,0.4800261683257186,0.4700523711455425,0.5065607675914915,0.4890472219173816,0.6700841636474012,0.8672866397467078,0.9026652120563994,1.3344205988995155,1.547054260130341,1.4102701004698386,1.0499784626842836,0.6021767853073902,0.5818117906575774,0.5666934979234836,0.4733027244761113,0.5231013207971247,0.5058710444749991,0.7573055237859716,0.48697201117663985,0.6817087718269698,0.8041438626638918,0.5670652189356848,0.6392523952325215,0.7022409125195158,0.6832250648059525,0.6226768164391033,0.6067312808097333,0.8933076470081245,1.1931570526143873,0.9327010944111331,1.1275527852780385,0.8875823676614437,1.0019604704131937,0.9904833176941346,0.867379302174993,0.9385962497093281,0.9654139493995088,0.8838174735457789,0.866631685200599,0.8360116267148426,0.7962815773868386,0.7288331531242763,0.7229846395286113,0.8452975534255294,0.8026492171330458,0.760768786656814,0.886177519696382,0.8954840861592184,0.8555724097492402,0.8168191573401581,0.968839120889049,0.9871958064587586,0.9237544103705023,0.9780124557126335,1.197040545353986,1.2256163072900934,1.3277850059482175,1.3219764323123022,1.1418320622347453,1.0741098129305011,1.1328404336108073,1.7475817963001141,1.4585455388790465,1.8209818907734063,0.9758712192514658,0.9751490893977656,1.0306997209441107,0.9983160985312568,0.988797513710825,0.9330633161576946,0.9826984573780324,1.0424262826995943,1.2227449735813007,1.058529568715574,1.0875708557316688,1.1582250048460012,1.1247660778306772,1.2311371217252711,1.0177435553854184,0.8360965825227473,0.8234756334183577,0.8452421974150585,0.8781164917463115,1.1548114579861177,0.9594846715194232,0.9217436607006488,0.9541945608287902,1.0887751197667062,0.9686995482037589,0.9165835444112403,1.0835747121505146,1.1786843724584473,0.9880931111827014,1.0741409500076038,1.244732672613122,1.2560667582194596,1.0254255718606862,1.0917762029882727,0.9948632686880688,0.9758815616303188,0.9042961077336945,0.9108506989657785,0.9771059791161916,0.8994603625726304,0.8921722876435118,0.9634650605618393,0.9988720468248048,0.9570982319374592,1.0121201726046625,1.1772477605005982,1.1366480720362537,1.0506206079877578,1.1407275101516563,1.4015202946471685,1.3511327493373668,1.3969168547924036,1.465703156379017,1.5708711795275891,1.7036847767966972,1.4839574531313569,1.2435550078670974,1.1458877223952915,1.4915663554053196,1.4352244449277174,1.48509643947215,1.4256123153750007,1.10011433175684,0.9283318366099518,0.8147643532755056,0.6438745242002558,0.7427689460113827,0.9036181645962225,0.9820157271763394,1.325958977279323,0.9096626726968887,0.871972793834298,0.697858147937455,0.66365479147404,0.5575608241848844,0.8895811576748813,1.2900017249860627,1.4322592318461842,2.9212849274665658,3.89843243842873],[0.5770061349012144,0.6435851388026426,0.758826210579722,0.5143591243964778,0.6493651249228918,0.6128319373032596,0.5654201622734926,0.5746072601135959,0.4971721737527059,0.44745839622571365,0.45269774978082894,0.5727177302773837,0.4761937413240789,0.4220596662932192,0.5153653339258041,0.4822806162618817,0.5200112412989101,0.5018232073306059,0.5354912163474111,0.5399743372081717,0.5387212869766063,0.60205187642237,0.7141904260629557,0.8206267488626149,1.0086953569929404,0.6670465240384074,0.5057880238809936,0.48049341701860304,0.4970983615557262,0.5123189136974867,0.5282940778190929,0.5884322697526363,0.6246743822926919,0.5626747381239747,0.5372101835095194,0.5187336791799381,0.545648835876432,0.5287940666150245,0.553213197583738,0.5925282128060907,0.6359519241460123,0.5444333892791574,0.5461026004410691,0.6744484517363665,1.237890646222304,1.9035928252963765,1.8635909556403256,0.9247878016356783,1.2755096321639368,1.2499536993940688,0.9245425077693304,1.2605487704650393,0.7978158172834054,0.8307307244607958,1.4059684547368523,0.7205972492863683,0.834222445836204,0.721385773674958,0.7602669242572927,1.1364946519569783,0.9435831923694584,0.6807846974451547,0.640378545716805,0.6275866147633283,0.6110945648656219,0.5580152330007448,0.7508654514083277,0.5724283232563544,0.7455296240143929,0.6478825788221149,0.8979629905371613,1.086013311445767,0.8290114241011115,0.8360252851388938,0.5991320666315325,1.1212822701199192,0.5317302842916093,0.550768694823123,0.5516813491924376,0.5739731356560681,0.6017051402304955,0.6753026388468718,1.0483262360638768,0.658607303249497,0.6108062592698911,0.5853074555855982,0.5444549891157106,0.6149611835228251,0.5107803178078851,0.6023667724121675,0.5596687548118303,0.7057382572912848,0.6330922012347803,0.5602414875149411,0.5388415978071607,0.611011885180705,0.6250258715593522,0.6006195289759183,0.6126195926893603,0.8251299491666673,0.657361756302805,0.7657210211316398,0.605386268643184,0.7169605011120923,0.6993992369927768,0.7481044825803813,1.0716472249018283,0.8118055703622123,0.8107117073567193,0.9009973750466062,0.668968442840754,0.5909351831511184,0.5455305538195052,0.5449555357596968,0.49150438330504675,0.5151416507430948,0.5166077873008514,0.4930017177829352,0.5788345573347218,0.5754362877298618,0.5207031687499861,0.5161565954794932,0.5230675940451867,0.4896182106430885,0.49135987657908275,0.6210563366189221,0.6390129434043776,0.7077555153679368,0.7813223104966803,0.7619395984857759,0.8697526656562821,0.8940510384741983,0.8121297126737154,0.8043772834766416,0.7952715609600307,0.9130943138118087,0.9483000056365212,0.6839593601913125,0.6532230181678945,0.6050589389412084,0.5649960323781041,0.640338069323471,0.5103864037539391,0.5242325729988304,0.5394946680253154,0.5351131149234044,0.5269829883832033,0.5547701231618021,0.5415367259058845,0.5684782557153101,0.7141520326580827,0.6486892063230622,0.8730412081257813,1.200617206766785,0.8884584565486797,0.7023783823226322,0.6145613657558895,0.646128134887966,0.5701972165138797,0.6367823834993112,0.5908271583403809,0.5549861676907853,0.6168243688909343,0.6064248639119066,0.7458265358366585,0.9689901322525837,0.9881097006916741,1.4458080152927675,1.6222340532239152,1.4374255465389139,1.0956491234348515,0.6473986377756225,0.6561287123249409,0.6772800286917393,0.6000465026641096,0.6209032978793525,0.6025387984616695,0.8196595439201652,0.590426908446333,0.7733074622964944,0.9704795338337187,0.7000923189923038,0.7345088481072899,0.8090798572949942,0.7708276799506906,0.7294539705218016,0.7168534763486581,0.8696205103209557,1.2462071748301693,0.9568897131852011,1.1608547800670779,0.9386753286817726,1.0559056396550288,1.041707528617703,0.9616056467182841,1.0592694540770948,1.0445134261251978,0.9735481950028573,0.9432787643776283,0.9742705226399173,0.8583499060944726,0.8209670674424604,0.8419184983148291,0.8656250377897562,0.8255770830612246,0.8158849197502094,0.8943545173788899,0.8583091244903737,0.8941709483238051,0.8501424456594755,0.8921551502424142,0.9716879945055289,1.0343787106614348,0.8812623144974036,1.0469703268241515,1.0566964604724767,1.249611167560083,1.187273558888071,1.0051844632884248,0.9820323083296709,1.047368818726595,1.528503578414115,1.4671636463329847,1.7800946132236213,0.9862434439521581,0.9560213468701703,0.9988945349137791,0.9384097513287537,0.972405849554626,0.8780608021272045,0.9378037428001822,0.9902547158686587,1.1702027133417827,1.0907756788983805,1.1195723840574778,1.2093099064277084,1.1865807778490418,1.368502777477277,1.0844942354407872,0.900890206531004,0.8279391066649211,0.851359219334672,0.9183994583457139,1.155103708347666,0.9959257961765772,0.9531190511945642,0.966633916712576,1.0857044306483419,0.9642360381095899,0.9336741871147417,1.129563289993336,1.230701263606686,1.053515113581032,1.1334637367054794,1.3337842029935538,1.3566770129551937,1.1369006243009003,1.1999009001683718,1.0407338036401486,1.0184840768255756,0.9286703780945027,0.9317448165008627,0.9807587934722545,0.8881456108049958,0.8911450207211534,0.9346244782575014,0.9540781660438044,0.9223242382834383,1.0100366569532704,1.158406098040619,1.0797964825321358,1.0837258095211277,1.1335237713471362,1.4578503946849837,1.3593298429436524,1.38129004912458,1.4609630618140041,1.5775135118614505,1.6250013178924223,1.4230822043931086,1.13862913791855,1.0595402804606635,1.5065576436254837,1.459248558106375,1.5272065043742657,1.4781708739345492,1.1559374077218476,0.9912250327508934,0.9137116988226515,0.7477406390634453,0.8740523750365887,0.9729671051125895,0.9905314235168148,1.3602599841883614,1.0421067754282065,0.861789462341692,0.6961529578639079,0.7102573698261067,0.585809352454144,0.8527276458676579,1.4317054493494783,1.5958311558212879,3.20029313024779,4.39843054527057],[0.8353178624415882,0.9608783443772566,1.1185413766670251,0.7232911545204985,0.9443582503850465,0.8927731448249502,0.8266590087565705,0.8872956900576151,0.748974893027478,0.6870707483437221,0.6748291584220161,0.8373758087389248,0.7324411697039989,0.6127556331521201,0.6903256129069513,0.7214817792321225,0.7380275066068537,0.7023675670757884,0.6706605091531725,0.7327764461675446,0.6938823049841198,0.7715136397317665,0.8497001596360645,0.9308072520289943,1.1166585514454421,0.7898253009168904,0.7082533474312502,0.7000798712026488,0.7383572321367258,0.7802924099635536,0.7533077937392748,0.881169581922067,0.9011365012395124,0.8403398847433913,0.8382363764861792,0.7810331891377774,0.8620997490048249,0.8171841581655613,0.8286254364336879,0.9021018481996174,0.8851323112290609,0.7703514851880906,0.8075342324485664,0.861114022556268,1.2941280226812368,1.9382566929206684,1.8796348007972792,1.0378198364281503,1.3515493554531615,1.3486361641188476,1.0645318107264206,1.2624048102797776,0.9811724274145868,1.031350581163192,1.6340495232549497,1.0024303855993197,1.0435553110669937,0.9680944163565258,1.0403411724980827,1.2468049681801128,1.1550841059986565,0.9053375264920647,0.854935391489377,0.7777588065606756,0.7818735879582945,0.7901598221442085,0.8979896258258662,0.7487119305959576,0.8159091214673332,0.7741747729418996,0.9826797172409422,1.1024663734832996,0.8993106176259749,0.8860057497829692,0.7742509753000973,1.1606632325411144,0.7690416099097226,0.7937538892238686,0.8291453804136534,0.8406698142745406,0.919397754029083,0.9655264528690478,1.2627535269965708,1.0087925338189108,0.8980534208013708,0.8972095305739494,0.8357739521990497,0.9196821426535332,0.7881030068316641,0.8544459944297115,0.7855612652474929,0.8129211381216963,0.8202042574867702,0.803011896478005,0.7619780062527057,0.7833383892664102,0.7949925246552378,0.8499713295633636,0.8860596709522857,1.1184422865267125,0.9678445841034643,1.0946066044148113,0.9752888166893519,1.1070704178316908,1.0590987464326012,1.1133746378184686,1.388562209758059,1.1611063502302137,1.1488834998223294,1.2231450860458635,1.0036774142817388,0.9223296483278716,0.8558944605522856,0.8336153232622939,0.742595216541565,0.7307430248783138,0.7082325375324444,0.6479583894363241,0.7021405758280828,0.7542256745741547,0.6548345754532888,0.6842565278011702,0.6901880211431887,0.6864319396777807,0.714638392800373,0.8919108861834162,0.962135619650245,1.024712968833809,1.1409818208544944,1.1138740793452329,1.197649302244562,1.256670227200173,1.158033652626943,1.158300600569377,1.115267539655318,1.1885727826422943,1.203632831200826,0.9066255420306695,0.8292949861634998,0.8114646259314527,0.7078428071859642,0.7999584987855439,0.69921259521564,0.7364001702243547,0.7832596696503819,0.7946087059761853,0.7889873557647651,0.8306728865184438,0.8693422152932658,0.8734052761440417,1.0478795096448705,0.9832392127334456,1.1995208902013537,1.38988077185858,1.1219125259905565,1.0411494525230187,0.94798204480378,1.0089503161902866,0.9085368202427557,0.9956047548937781,0.9291272292926308,0.8740915239277582,0.888138863694313,0.904770372879002,1.0288444773667653,1.1815239974250813,1.2455976878456425,1.679042924794963,1.8620373067338296,1.6369932643127436,1.3317441493119644,0.9024726720405413,0.934854731780776,0.9973473667269513,0.9489151330001014,0.9836498886771652,0.9324656390585816,1.147087665215338,0.9426862879891508,1.121407905575947,1.2796428640779116,1.068543353347025,1.1011379429258674,1.1619022086995932,1.095756494104019,1.0383750005006902,1.0013531729573784,1.1100413031197232,1.3815507612983264,1.1110238227757527,1.283151331692432,1.152364087552346,1.28420315548348,1.2900307719274813,1.2597209751720104,1.336427045037423,1.3264825695780436,1.2917178918311927,1.267112233312707,1.3038992662410451,1.211363835884998,1.1963954654126387,1.2159308475243789,1.2220005398768559,1.1874119592644279,1.1886971017065229,1.2434239644938898,1.2025163303108128,1.2247944172696024,1.2065537994120206,1.2259643450668747,1.2438717453121313,1.3310067467700841,1.2343797478711882,1.2467555235522034,1.3637516263470781,1.4025309978055835,1.4582722316340455,1.2855021656977164,1.2094588874373877,1.2536162187145927,1.5745915686854084,1.6991688694050768,1.9830303659691066,1.264130157132573,1.2528787788901714,1.291229811858617,1.2198934189794448,1.2519380355151328,1.1789029778464029,1.2171661421788793,1.2604609981349797,1.4128660227436036,1.3705985117345707,1.3880059940294283,1.4575337639380799,1.4535932285716173,1.6185759936648174,1.3937015266916641,1.252108961960571,1.1667647860094854,1.1890074694693429,1.2531537901431877,1.4516451685058587,1.3250221105659739,1.2933444462075097,1.2979550849594284,1.3947961791182473,1.273443599811746,1.2645786233535088,1.4418076837941554,1.5299395729696597,1.361938605910833,1.425652799096213,1.6161584680235814,1.632985781977345,1.4087556030540282,1.4510746399943741,1.3055723878246783,1.3013947067161475,1.2503087047671306,1.2339390142135456,1.2371636000184079,1.208050964559348,1.2149571162975126,1.2216183357954076,1.2361291416254614,1.2363307759728905,1.3012389050449062,1.3941059648941896,1.3647372075029836,1.3662926720231567,1.4030031682530455,1.6545172659637872,1.594123429938174,1.6552380808404883,1.7329706825889093,1.8510795217526645,1.8776682522141213,1.7443784644069833,1.4624338150729665,1.401543299630473,1.8311614797740814,1.741404554178891,1.7955117444392055,1.7234248256027767,1.448518002473266,1.3070345800661793,1.2534669786377455,1.0837786174823842,1.2374648127348105,1.2889232282485081,1.2874322446144402,1.565522633116709,1.3232564179142337,1.1916578196983758,1.0439572444926895,1.0228492888709875,0.9137304826322532,1.1430097309475225,1.9144242823922533,2.3904972718490005,4.199843167271388,5.495486669184506],[0.6102552917001488,0.7781010600988644,0.9887543050096466,0.7272181224085786,0.9245202835728165,0.8182717274042053,0.7830605918641457,0.78014824549537,0.6784045082666392,0.6600097704478435,0.6266075494619607,0.7423252532613477,0.7029853471338795,0.6201428154198515,0.6527307131912314,0.691781178772911,0.7440659726817064,0.7058570348166514,0.7059182633957757,0.7629677800777025,0.750021691846746,0.8328430423808137,0.9205519221019365,0.9944792933221094,1.176042044636541,0.8531536283254189,0.7722222667994587,0.744589171076519,0.7415270588894812,0.7514582710277105,0.7286466311867943,0.8101885830090507,0.8332098669174474,0.7758881552564556,0.784987451404971,0.7560690769996248,0.8149719589371704,0.8231733739478021,0.8504226458241982,0.9139687877443414,0.921859342014692,0.8081783465619493,0.8461361115265003,0.9008378178601436,1.3874761626439092,2.018731603825639,1.996242802529381,1.1058214770984516,1.4017067107017682,1.424166052968206,1.1381210963489992,1.2993187949803662,1.0073262908924956,1.0673547555887366,1.5868031542490388,1.0257459820712103,1.0750867536221056,0.9537430757963979,1.0248455851308171,1.2757908261011912,1.2010875466892228,0.8999819449517732,0.8465537593348973,0.80240065171948,0.8372427845142992,0.8054671482687431,0.9060140898651347,0.7602733935566226,0.8362062311010136,0.7810452094166502,0.988205256701355,1.1008544072300404,0.8958482109311636,0.8999030959715896,0.7633050856002455,1.0924502991080414,0.7406951456215984,0.7515040196482202,0.7923050782867087,0.8069561984513941,0.8520319800472016,0.9472064984561523,1.2280803984106246,0.9400381313487159,0.868884214580779,0.8739608908850199,0.8281083746024211,0.850499671646968,0.7582273385010897,0.8147729519077306,0.7476995048988155,0.8166092172175002,0.794867108823612,0.7435280045594154,0.7163100783534738,0.7313459784497188,0.7490373519175684,0.7710932184928874,0.787697474593047,0.9749148642745278,0.8541472065131687,0.943314384062511,0.8637938675345664,0.978152224910743,0.9573659012392928,1.0062170245820978,1.282913232203555,1.0833154377414447,1.0710910976234953,1.1337568577492925,0.9345504563425028,0.8726209751023442,0.8095697302363096,0.8324141172773335,0.7621275491776343,0.7857828118505313,0.76669737081242,0.7296721595794312,0.7668178403505584,0.7968126186786987,0.728434914067852,0.732681507832818,0.7680584635492658,0.739468171859848,0.7329570780208879,0.9046726465512762,0.883255691454817,1.0005736702770227,1.0916400751565403,1.0549378824716957,1.1610864016845162,1.1904672320140945,1.1165856386148079,1.090987770660545,1.0925827122533072,1.186008379693642,1.2053156993160252,0.9561503690732258,0.9085412989804093,0.887938536125313,0.8136846786263394,0.9094888018145975,0.7846665010641276,0.8110518086796923,0.8318217294404086,0.8035467242752339,0.8080475871602542,0.802648733584225,0.8145687037968011,0.801228831239608,0.9359472177888501,0.8474775158619638,1.0458969242102638,1.2956119256168568,1.0071025816395007,0.8987383389315416,0.8328419004606705,0.8801376048133482,0.8109660636937848,0.9027944144187413,0.8921320772582504,0.8608761759014812,0.9285128462315331,0.9286569390078627,1.0684529420777407,1.2711191763116543,1.295456991437231,1.7536758078956627,1.9123333017956277,1.684792267952575,1.3667799608600786,0.9392387916645187,0.9275111460122941,0.9508817200925834,0.8929142924417207,0.9031711412815933,0.8568801727894322,1.0490538945353258,0.8717343201679453,1.0385732855231873,1.2491858175141948,0.9978295241905389,1.0431282339022643,1.1064595961975425,1.0575262158059329,1.0221625778490095,1.026801319659642,1.1751303333649104,1.3938154435016046,1.1700500658018547,1.3537615732247217,1.1879426046600876,1.3217081943504803,1.3140319995657266,1.2584272552194187,1.3361549789424538,1.3106068926326928,1.2495653789399328,1.2097056846898155,1.2175550433935682,1.091117876634738,1.0583007654548846,1.1011161623522816,1.1053147763631557,1.035122899152861,1.039713171819887,1.136942631027141,1.0401454159613264,1.0607732992597025,1.0622400889490518,1.0549673609722374,1.129545430508239,1.2426911887838004,1.09305115691381,1.1666998549480798,1.1533879055569245,1.3182479902723303,1.2597361965015537,1.1184282126368044,1.0690827113613013,1.130509229041172,1.5224782443437461,1.5203732914894657,1.7657090225120107,1.0991997517119931,1.0765099636429059,1.1380738900999634,1.065935060829704,1.1188077950273383,1.0525959717797844,1.1114551163333084,1.1792819210529588,1.3400840120231279,1.288809808857774,1.3033414406792128,1.4011372301108362,1.3709641893408064,1.5484309964666572,1.2912799455419472,1.154298145977724,1.0693582068427756,1.0517517108623227,1.1018394554179118,1.2985082374021637,1.1422920603711944,1.1456990707952448,1.1069095200847274,1.1792616093404646,1.1100233371581814,1.0920822106789463,1.2472344412006926,1.3502856028240886,1.2134579855202419,1.265943617831759,1.44926273849007,1.5210763688055373,1.3086329078216694,1.3460798585477136,1.1756490966716833,1.1471896831570385,1.0782168305442033,1.0721828439878036,1.0995265267077339,1.0420770055881394,1.05054952678964,1.0682845350824488,1.081852400112381,1.098036310725096,1.1595079236550743,1.2776732018576782,1.2425490439167621,1.2776200442053696,1.2788289546396725,1.5436231500194488,1.482915562024841,1.5467445751903142,1.5942502847601654,1.7306898195522307,1.7030017161574622,1.6218269524263909,1.3358387241443352,1.3028064597461213,1.8023063042389103,1.7152528539674308,1.7618274022503528,1.7084227099532057,1.3864820423736022,1.2691804742777253,1.2014436267515587,1.0363544530251891,1.1584818165614834,1.1638723633013857,1.1184007481059721,1.377904827573944,1.2583368707055265,1.0266339035534333,0.9250910711497993,0.8790264246256743,0.7967542143507595,1.0309671859576863,1.895617887604285,2.182931595622211,3.906641662081006,5.35464157816937],[0.5129640453175245,0.7152640327357264,0.916715748295335,0.7443751552788267,0.9046561195827993,0.7963835744432844,0.7663114016804975,0.741866956922199,0.6725075627869289,0.6691744903443013,0.6421636376677431,0.7383905245040424,0.6967866177195297,0.6338707287075713,0.6634433566327341,0.6930194154997009,0.753612830123011,0.7180180365927153,0.7255023039943409,0.7609637084951059,0.7427128780781335,0.8005768996585914,0.9160406427530959,0.996504588207636,1.1699258622265556,0.8485475534686792,0.7555598772300429,0.739450112667094,0.7433161159703168,0.7419655386431672,0.7281001749371364,0.7936650258344614,0.8136525267759762,0.7656204926116148,0.769535562884365,0.7472220793188933,0.7887655092177659,0.7987253793959745,0.8159983380868666,0.8599927670875354,0.8823358473637845,0.7845756315941236,0.8160205942468293,0.8727253832310894,1.299159013468793,1.9311632669302528,1.8621506274371442,1.0472394952716446,1.3490020119525923,1.3407897128458626,1.0577529093310507,1.2342127965966043,0.9458876374626293,1.0028811118036192,1.5716306572277499,0.9732515848216966,1.0460213353961743,0.9247470024643855,0.9988995475497534,1.2552251768290288,1.185439037162487,0.9035541405157216,0.8548319423406733,0.8004782852703234,0.8211087992846252,0.8040294004670792,0.9214133345088799,0.7702301978938751,0.8384593133376624,0.7985864825001883,1.0102075868775446,1.1158952308881616,0.9043785842712758,0.8888793870400138,0.7796841390245342,1.08379718367306,0.7489345931463575,0.753117204436052,0.7843612156195215,0.7886485914178458,0.8279477639267601,0.8995583045033686,1.1853553305429778,0.8893830022306274,0.823127168315762,0.8295331600673556,0.801370959703651,0.8315457523685597,0.7489803746480771,0.808073798567793,0.7513849175458428,0.8062770074470692,0.7981044057204407,0.746602221540263,0.7174978621765606,0.7376569248679641,0.7571646630771585,0.7615861539522188,0.7672901358604443,0.9312962677704021,0.8071911667174406,0.8730953377758891,0.7991765940839953,0.8907529692779038,0.8533529545332077,0.9111039151312853,1.163076719876359,0.9418165636668343,0.9385768062086113,1.0166343739527655,0.8336636745372324,0.8043739186011488,0.7757335433059654,0.81269456090015,0.7603412627930334,0.7824420392586864,0.7678171375642646,0.720997359300888,0.7695455401072123,0.8148673607322742,0.7326227674682557,0.7490902366433381,0.7730333893174081,0.7489384860097377,0.7403893393776237,0.9016245373904337,0.8674622066615827,0.9406750113616003,1.002986138114648,0.9611369145248709,1.0528615763072027,1.0554144709186712,1.0112551358512438,0.9903495813706308,1.0150220643093153,1.1308903259489536,1.1484392149038338,0.8991253183701564,0.8605561824558134,0.8383762261357205,0.7636350624861334,0.8528744604688415,0.7562962982587831,0.7778060894628687,0.8020097224284822,0.7915692706742866,0.7930152680501464,0.7908812956962488,0.7799860661211042,0.7698345935148068,0.8729254285912116,0.7904042212478379,0.9550496842146176,1.2396968754631374,0.9540940463538493,0.8315500361860872,0.7872442128032082,0.8106338146101383,0.7709414709119959,0.8437093056119734,0.848885389890093,0.8223019340749722,0.8841885106079421,0.8760085395435758,0.9974142243305189,1.1655243068085412,1.19201914256161,1.616334905701083,1.7950226213308254,1.6050576972577977,1.288063589746168,0.882253809586396,0.881740232267278,0.9126943657382843,0.8468013236885236,0.840067749540314,0.8169046378918917,0.9970390552463805,0.8193453936855347,0.9736484872326312,1.1870611023795645,0.9177516488468997,0.9481235022600079,1.0206619291567258,0.9860568241675379,0.9589382751465879,0.9645969749911968,1.0684702941441822,1.3891210298362326,1.0709473520186434,1.232910544329857,1.1031394057902517,1.2124704599127767,1.200399735988285,1.129598212818718,1.180793274484087,1.184747101791981,1.09055643629739,1.04203190495293,1.0798853353361269,0.8926497727717269,0.8562797699518083,0.9340013595862267,0.9109812748911279,0.7972320380885521,0.81844546409171,0.9580143402427714,0.8124318732098346,0.8065987084044246,0.8168108851158888,0.8173641950742854,0.8633079303936643,0.9751544681473403,0.8079100442718324,1.0079219260723267,0.9739180685415132,1.168158135439077,1.1094178365609844,0.9357527788161515,0.8716968934961954,0.9235449943710319,1.5587568735582384,1.3079823491370395,1.68370553696534,0.8798077225328789,0.8526271308805092,0.9235180000569658,0.8624544446346846,0.8910611778568812,0.8214046259520055,0.9030793904931577,0.9609293795724372,1.150000660675602,1.088787439282117,1.1463831150833994,1.2205414569463673,1.2172177315341506,1.4331372258573793,1.1387077003030355,0.9734504125180742,0.8536700565731499,0.8317205174961311,0.8945679823623918,1.0863103144064594,0.9573365043921689,0.9347271307117777,0.8749503264719695,0.9943031550809938,0.9340934210325381,0.8751898487283709,1.0339584666758967,1.1521390832414622,0.9948771866687447,1.0260141133095009,1.226650564350147,1.318390844159164,1.0480232265746137,1.0919398546870545,0.9101188118686218,0.8880500950157209,0.827279811438275,0.8143381950190696,0.8405953838885899,0.789002834306804,0.8154423236862485,0.8320816664272903,0.8639317148791787,0.8828813544135262,0.9348167538620261,1.085802772748412,1.0395043976920355,1.059759317589209,1.0609010975831936,1.3188114137694267,1.2891401730034777,1.348212562078397,1.356255027334448,1.4998720416503877,1.5141724640526737,1.4159012029142735,1.1598428424579008,1.1476886762803904,1.5955208244734738,1.528054683874344,1.541101645820089,1.526049582566395,1.217752444348843,1.1411576984075578,1.060117063353303,0.9554256154513734,1.0320295473721721,1.0457802897035915,0.9795153121720436,1.3219231657941963,1.1498564954953319,0.8634572513878752,0.7241050223938773,0.7860257668282258,0.6713167000444015,0.8290720467568464,1.6183460592869239,1.7056740026010444,3.211655147345799,4.472036030958407],[0.3845236706016267,0.46777765326173243,0.6294864181966074,0.4886625037959782,0.6199606717397127,0.5791465976356989,0.57200318424785,0.5681461454765886,0.5220064245939837,0.49239529299645607,0.48161998579382714,0.5967613805516528,0.515570807717749,0.46551627035350135,0.5164891080534313,0.5204430857342018,0.5572582161289213,0.528956036713351,0.5387638236266769,0.5646546401346692,0.5558426657659817,0.6343743215175175,0.7560035233540526,0.8375627301210226,1.043486324702794,0.6877917297264973,0.5365144348209011,0.509991516444811,0.5255876157662503,0.5377765904776892,0.5636962394206744,0.6076196420476785,0.6411037846683558,0.5814790271310383,0.5646585131953145,0.539160262342537,0.5762127060498667,0.5688645406285247,0.5904478892190652,0.6271530780428941,0.6608766310173183,0.5671950355390025,0.5740717855308498,0.6711870329172551,1.2229012307181113,1.8884532545286352,1.8588006508616866,0.9206685716751852,1.251701408861913,1.257888978241561,0.9394006509682339,1.2367488219248977,0.8159185797921378,0.8422802657287561,1.3851190611777802,0.7652733289841769,0.8781334303319699,0.7366941827183493,0.7867892170352097,1.173660806126626,0.9848718495565336,0.7046371788396693,0.6589734444654036,0.6258002249296672,0.635485130559268,0.5904917112597031,0.7711344382938647,0.5984182500127263,0.730041460576355,0.6787997709481273,0.8874793312773005,1.0366472459511253,0.8355633942951638,0.8307118364289848,0.629360657094629,1.0763006317855819,0.5587342686219106,0.5724272569432126,0.5836220428275679,0.5788795108479533,0.6043256207886496,0.6887841278643908,1.0478048028839193,0.6423141323693413,0.6145974938146093,0.5950733993711173,0.5711599268583025,0.6254516980844658,0.5363678059069915,0.6321384512391403,0.5818608030354395,0.7151330201744466,0.662482401603883,0.5812247724581984,0.5673689437452267,0.6231268391333712,0.6472064082726101,0.6145096942663847,0.6167311992467069,0.7865237234361782,0.6459744329401667,0.7378185318597426,0.590922457976193,0.6782069587549487,0.6533834670595814,0.6858464174831345,0.9656269244842804,0.7345662618981608,0.727490035917186,0.8331805648336871,0.6180693946779776,0.5721882528468764,0.5547713823737835,0.5716033586969578,0.5363771715373135,0.5632838641873659,0.5558797684082845,0.5210903566499532,0.6114838876517537,0.6093957002374678,0.5583965933852177,0.5595940402916363,0.5818515103259907,0.5406502488197585,0.5344076971824944,0.649054496695117,0.600569581025889,0.6814267070497209,0.7371125304506642,0.7190804316541062,0.818697915318114,0.8186659694480679,0.760577452870099,0.7508062396170068,0.7710907263377197,0.912957086397982,0.9306585156972741,0.6846408904288868,0.6555489061807244,0.6171581363600389,0.5757782597862586,0.6594978881691513,0.5447792521021899,0.5564330179904754,0.5702378598700955,0.5660797478362213,0.5651149657975548,0.5715197772712781,0.5456905265543359,0.5738995226873994,0.7010239218322777,0.6367520001539743,0.843529035692644,1.203080384253723,0.8762402118782671,0.6902859900347805,0.6138857706507052,0.6325842125550548,0.5667649209753661,0.6196491064840335,0.596687213678757,0.5847923287992196,0.6429097568601656,0.631905903362573,0.7557430937155548,0.9808079347592187,0.9825064523088827,1.4399121984191787,1.6036698072517461,1.4284928464426891,1.079295440454314,0.6461717944532799,0.6551588556203278,0.6820222045908898,0.5954382462910545,0.6087117053008538,0.6025759696774241,0.8097291217528586,0.5801611627677895,0.7400766190645769,0.9874812394661188,0.666663775611469,0.6988016890231236,0.7850017635315663,0.7578690585725931,0.7342850057522513,0.7462919221088407,0.9007207910275278,1.2529334998730768,0.9538390718758528,1.1711043586749843,0.9422554839954721,1.0431108805794935,1.0198105442315297,0.9203524386371579,0.9967492931738303,0.979310918893167,0.8920673186994139,0.835443787439227,0.88520425924201,0.6980416157147205,0.6671162393239625,0.7118290048538423,0.6952062640798449,0.6330588436286816,0.6477318736439539,0.7236623395338414,0.6517766026358891,0.7325322645272349,0.6958571227967645,0.702041489114416,0.8518871327333641,0.9500831496102173,0.7681596272364382,1.0188813735598452,0.87891590794621,1.1723575622521847,0.9817184113148876,0.8259602588838112,0.8431069160687598,0.8972453383095678,1.519357763457079,1.251137233517321,1.5877411166073692,0.7985095440350938,0.7568464367123435,0.8303983994302534,0.7645488988505139,0.8014281174587966,0.7021239130935616,0.7910362262370803,0.8657947163884463,1.045664972099772,0.9444847289513526,0.9971566095491317,1.1049240474541717,1.0592088174488208,1.2795344181362298,0.9442268660261232,0.7889422057632081,0.6968378877121454,0.6935514328193402,0.7681151903828989,0.98723768330414,0.8561532491982331,0.8048604319101909,0.7793914189850615,0.916675918251899,0.8464453508961908,0.7818524528867252,0.9713133931682298,1.0951462293686067,0.9324843610091911,0.9807147735641503,1.1898727425770985,1.277115492719988,1.030257730601552,1.0805280873849132,0.8899947341875334,0.8478609997482084,0.7491354827592407,0.741015221169239,0.8060010773153524,0.7000436644049665,0.7012499465994338,0.7425745326968554,0.768137098182671,0.7344488195762731,0.816720349864009,1.0056463395841242,0.894361223094562,0.9199270143163382,0.9527704699461425,1.2644909613153725,1.1711167864539833,1.1772796106671268,1.2364833770329262,1.3479453507329728,1.3996235249325422,1.192665080838405,0.9389631712490517,0.8586902734027099,1.313010896095334,1.2979511188224535,1.3557694342889903,1.3583647040962803,1.0149206607435703,0.8941914057509411,0.8213681799708253,0.6938790218746809,0.7902610721393317,0.8818611051735709,0.8578180531557839,1.2717235870244725,1.018257531914624,0.7123116157032068,0.5948159866128897,0.6458759360335599,0.48141496641960024,0.7472664771512222,1.3021305322815848,1.3068117158521346,2.6879857126274556,3.9531096846508724],[0.32345055392725025,0.3662884877156111,0.4975598129987291,0.4534614716169411,0.536872917955262,0.5080902962763033,0.5083138573873969,0.508242420423818,0.47135207130777446,0.42892280154389206,0.4260101657167259,0.5472889576651591,0.43776161729129937,0.39729730574932953,0.474463475745737,0.44783202562308977,0.4924361598278873,0.4804783353120525,0.49978248130588226,0.5079344075218277,0.4943686470630553,0.5532843618227219,0.6919518105286075,0.7791075216266007,0.9869009329581406,0.6483054964462793,0.46514256351303557,0.43643762878334985,0.4663395950551396,0.4779919678442765,0.5154030644663136,0.5343633526112428,0.5813204194050826,0.51836273210988,0.4980736145454502,0.4760362597117629,0.4900835456800994,0.47661319574673583,0.49245678833734396,0.5179282515979042,0.5403452580652853,0.48573074521911774,0.480026926200291,0.6266298438474089,1.1528841012604232,1.8307921300283443,1.7740591070184046,0.8812448331851627,1.26365788298686,1.260280116852677,0.9446282251061889,1.2788739172347108,0.7851677926122017,0.8021984190641924,1.3690046804194285,0.7105996205640254,0.8331534914566885,0.6927616107052909,0.7343115864587149,1.1361855067906934,0.9039736794103976,0.6401391382464461,0.6135815497656889,0.6037682133667982,0.5941284576166733,0.5362390788942776,0.739563086310361,0.5619156837877872,0.7231904394511763,0.6505163486063544,0.8932117220580653,1.0416617490635405,0.8244057542943967,0.826877548155822,0.5982372216857379,1.0807494357602883,0.5077780283703678,0.5316602828501384,0.5177763364245253,0.5157035671925178,0.5274700194336861,0.5897803126098156,1.0012956506283825,0.5776987589384915,0.5541636305167499,0.5099837105932369,0.47649371457335254,0.560177893129992,0.45838391774062315,0.5794304282632778,0.5335246068240319,0.7031361701389879,0.6255628694081191,0.5393274080055667,0.5253789134047984,0.5999428660689871,0.624599176935278,0.5744617416809266,0.5751703845947468,0.7458125014923402,0.5949919810542235,0.7024349326947996,0.5216471574361702,0.6072281731009691,0.570893169162406,0.6180601327660861,0.8664250383058875,0.643968201031162,0.6490836518718495,0.7319462424890288,0.5529522645949952,0.5032351969266282,0.4810607977101637,0.49745589889664543,0.45674786718672594,0.47991099659630976,0.4824194220677733,0.44286882351179546,0.5369512231124169,0.5495524660108736,0.49279554830771216,0.49036328490835374,0.5115685421565116,0.4698028787341942,0.4690248429766269,0.5665364165139027,0.5445585456303934,0.5963337362901393,0.6506649645099836,0.6435085419737455,0.7380960356852188,0.7265162333715613,0.6793683054422798,0.6868133361712744,0.7038546146698539,0.839518547315198,0.8854319954916359,0.5922798327813202,0.577872072828848,0.5398617976136616,0.5111773475060758,0.553248812012872,0.4672450575722528,0.469437144816639,0.48352214425478635,0.48976081225634926,0.4800776607282633,0.5148952085777492,0.47504043808493446,0.5164104610648821,0.6371020403975367,0.571233224016395,0.8095058829414226,1.2123741286517362,0.8732107060791524,0.6388685869802575,0.5611090487733694,0.5711092912404008,0.5075353875299703,0.5414885209923727,0.5123146567164641,0.5155427352838428,0.5542412305911315,0.5406930985782039,0.6375984356980507,0.860213216889604,0.8843709725881567,1.3104393025272114,1.5039522123898863,1.3688788898910325,1.0173856792437943,0.5604938357742546,0.5660667480700774,0.6251378573351698,0.5284004299420505,0.5462121643702396,0.5451287418470643,0.7558937751077565,0.5217336193783625,0.6842798949966269,0.924315279035553,0.5792810604303305,0.6206102153334009,0.7147187417186109,0.6852763306901931,0.6837783865973406,0.6639714767761494,0.8307933409048897,1.2627846754491794,0.907602374506588,1.0897277706937465,0.9071793990534446,0.9722328138872443,0.9478890214288169,0.8221791015233298,0.8840672271822749,0.8945278628500272,0.7802852263996783,0.7317740601086526,0.7948607225194306,0.6017010332440127,0.5598079262715995,0.60762108558593,0.6165872551439797,0.5361756881806601,0.5398152453998716,0.6628755302899977,0.5916663497274418,0.6234519387595817,0.5831394574915216,0.6594901117187637,0.7447286014585366,0.7841888714280086,0.7147303681461775,0.9847456182937184,0.8689538281752408,1.1189384774200202,0.961075412186231,0.8091906603946073,0.7810865010488589,0.8266039964008918,1.5787821259409034,1.1763427683518688,1.629446117371935,0.7316788821936615,0.6942630871703617,0.7524464492872582,0.7181594849364911,0.7074635921133702,0.6321446663472529,0.7276076745022312,0.792229781961072,0.9779552747800496,0.8628938715183722,0.9753117286878938,0.9927988574918423,0.9844669544021195,1.2259131798185856,0.8714884327770642,0.6942148904913776,0.6288587929349414,0.6294301643383842,0.7130289377727953,0.9032522456304136,0.7934991108645474,0.7374560246861722,0.6946182385839063,0.8731188047150936,0.7753258567969575,0.7015442557314875,0.8844200647846315,1.0077691063549117,0.8249366739491851,0.8645829763760785,1.0666507989640641,1.1415992820709875,0.8724804398504927,0.9276856428608955,0.7698283075638935,0.7378664927038837,0.65143986691014,0.6486659892170791,0.707000220627235,0.6129723017448926,0.6134384398695681,0.6673472958001464,0.7121947144693136,0.669440421118382,0.7347905515471749,0.9529429980999569,0.8476912115964316,0.8265745063675463,0.8706892116637858,1.1792401477443621,1.1100801905633555,1.1188476704821981,1.166733006739828,1.2796823915878044,1.333110439114269,1.1165016125972291,0.91055925007577,0.8198463037983514,1.1837121153755519,1.1889168424195726,1.2340573479267092,1.2708088784968066,0.9382160337133817,0.8046911871226846,0.7196079967385833,0.5912223403245249,0.6338653467811638,0.7779573909262227,0.815282965941071,1.2884190343153223,0.9168282934428409,0.6393429707848565,0.5586971074803436,0.6626255540190736,0.4115431604142972,0.7484399274034865,0.9577030986735947,1.0356533190699335,2.0908164623103263,3.1136485764713786],[0.3527700293586783,0.36203419226534345,0.4577867951050472,0.420036683535225,0.4827520382743122,0.48482298103258653,0.49428913126971996,0.4981127766267731,0.4818494790869647,0.43548654373277274,0.43531024420612946,0.5327978584219099,0.433338317082287,0.41071599921438173,0.49722025153588917,0.45183411425613407,0.47830255652749787,0.4841774546347944,0.5375233682517446,0.5201947310052186,0.5386373709582338,0.5884332977146461,0.7070289445323208,0.7765262206602933,0.9879509518050629,0.6837781141571708,0.4724210611634437,0.44632771803468047,0.45510010802409473,0.4731105481584683,0.5146965314786728,0.5118309373475097,0.5823796546091135,0.5096602564788756,0.4753912569087588,0.46393198091666366,0.46670883840544525,0.47031548557218233,0.47056531963478215,0.47838014740062434,0.5381553954349021,0.49108250450771507,0.48097954135493076,0.6231417483220033,1.1946734920879103,1.8283088299772385,1.8230647995109877,0.9039713498276053,1.252230401699658,1.2476555060188201,0.9180218295635243,1.3824404736234717,0.783603388744266,0.8448286773502969,1.3660473132754885,0.646594286778545,0.7553548171062181,0.7225912080770742,0.7050339542608053,1.120690364148461,0.8573629981816516,0.6537216374446021,0.6471821929523347,0.6728105721862847,0.6336225713673507,0.5774044119541172,0.7832374596998163,0.5912596412476739,0.7889481929801387,0.693249685230843,0.934277411267325,1.0925267181890959,0.867162223433775,0.898299768850469,0.6365505719390945,1.1642987803990483,0.5405456506352749,0.5415096282915547,0.5141183106775012,0.5431105493101542,0.4956493123100449,0.5809180520667527,0.9997191315067199,0.5322291391979619,0.5562003213137728,0.4742096440514795,0.4658053169632679,0.5468374695332205,0.45955832499431687,0.5647528855028722,0.5281409351352621,0.7011766205275671,0.6331857319507406,0.541337329540198,0.5228451176365622,0.6128045973373333,0.6218263861953696,0.5823009506088123,0.569243097361136,0.7551319674171919,0.591882795159762,0.6966905741204401,0.5004270798490253,0.5863492574396976,0.5654968217858237,0.5751997552808573,0.8276634540698761,0.6028152315263177,0.6168588931290245,0.7157923287001141,0.5054797198271016,0.46249838747053906,0.46256438186292953,0.45320677481154253,0.4383205867762485,0.49080091971892226,0.4911554767307563,0.4546406134300213,0.5824100180961626,0.5737269877896003,0.5114498788614158,0.5079409339080507,0.5314030368342707,0.47380884455992306,0.4531502923480442,0.523572041196698,0.5035418605746881,0.5468149971428097,0.5717315837322875,0.5885906524969983,0.6761120818640213,0.6590359199453137,0.6139169135461611,0.6280681084634798,0.6427663384190464,0.7870727535741227,0.846351997087083,0.5741163647071084,0.5648278813409455,0.5186625999926608,0.4991287608282055,0.5557281474063747,0.4920271076650298,0.46392694502896087,0.4661785311251362,0.4750789728812522,0.4589660031392259,0.4938963392221096,0.4473559468721541,0.49646199198306307,0.6205565281767407,0.5639394874461285,0.809931299632566,1.2699224608630586,0.9198084210295773,0.6352498878144188,0.5438193657467522,0.5597240137689313,0.4819626301408784,0.5047152626835636,0.46853689378166985,0.47819146641303334,0.5205780887496742,0.48720277426749764,0.5793895715104962,0.8322993844998517,0.8393279278617587,1.2604482304466122,1.429275580165226,1.3073803217145195,0.9608559116101455,0.5238850500019625,0.5353985870791161,0.5725238684377288,0.4878776766492706,0.5027613796918321,0.513689545271943,0.7237017957843065,0.48566940118066715,0.6215839558441738,0.8805833245239221,0.527591761445003,0.5636204289566438,0.6467209239856649,0.6397599747589092,0.6243396819677921,0.6177504251126024,0.7904857644832798,1.2176526973358703,0.8671565197715967,1.1511242529587913,0.8924922572913241,0.9586162108422027,0.9206554561891027,0.7760606113146301,0.8590413554102122,0.8636101984520466,0.7439575180972499,0.6875644066710798,0.7474405419293622,0.5628189164686375,0.534852298023698,0.5641567082914901,0.5681914115459149,0.5242265340767946,0.5309841341592282,0.6106709421325462,0.5740501571960087,0.6395281790058133,0.5849473167703909,0.6556144493585276,0.7738600246964547,0.800889429915686,0.711288945391018,0.9806562632524929,0.8666622285539871,1.1585051942974465,0.9527598683035923,0.8023066441818496,0.8142802581659515,0.8755797688083418,1.5833992397143213,1.2264934169893071,1.6152969976230607,0.7378012428062031,0.7060021191040577,0.7617830282558198,0.7214850828112885,0.7137744718063962,0.6218629949648913,0.7184963058809518,0.784742772667731,0.962062952186061,0.831256308645085,0.9324797854074569,0.9851282677188871,0.9446716640691319,1.1817334153090018,0.8079603736495632,0.6573296951421516,0.607978892625325,0.6253899613484497,0.716155652198715,0.9187204858963197,0.8088044869507619,0.7348724580779232,0.7153527308497876,0.90591595720427,0.7907896816689293,0.712466328467405,0.9040275016796974,1.0170389197430656,0.8309155466238507,0.8919396884836341,1.0956607107762293,1.1365661668826588,0.9023401527834132,0.9740819893603591,0.8147359532322314,0.7768779393825632,0.6745368491996975,0.6712509125881844,0.7461949417485746,0.6281548730973116,0.6105071951092084,0.6770431779580788,0.7156292299149095,0.6441578834297017,0.7270448185199894,0.9524887536346327,0.8196682516605549,0.8071075244947679,0.8589089219388025,1.194180978248259,1.084770762507883,1.065464619280935,1.156479829642764,1.236420503928543,1.333690689597374,1.054312319850234,0.8444976302400932,0.7405712511279781,1.0739729450160913,1.0955005730830096,1.167390442480609,1.2098196242292503,0.8752162792110898,0.7291749396986482,0.6558208382879057,0.5377966264828125,0.5772876583162517,0.7692689982486062,0.8406148705794871,1.358237793176151,0.8916181975200189,0.673682328471729,0.6129074259802827,0.701222577828043,0.4490230778466255,0.8678098776457291,0.881879397646463,1.1306674848008211,2.1431509867576013,3.1616829240182582],[0.38188868100943996,0.3753509215133773,0.44563278067832335,0.3930337075985103,0.44154922381744793,0.42367401132274907,0.41185684257781036,0.44180335141550364,0.41849460559150514,0.3643996068959423,0.3672649567684807,0.49072600301954367,0.36141754388181974,0.3576732506589608,0.46943819180096036,0.4108138845788818,0.4134932029281157,0.42672660759726655,0.5525127048829516,0.47611471369469915,0.5255596939265584,0.5789843896470988,0.6557757487919155,0.7924802882931836,0.9645900178291454,0.6636559304085534,0.4465497997559714,0.40970812533072337,0.41010716096427996,0.42040999914605154,0.48242325690631727,0.4623306408264993,0.5527983217886075,0.47000808592806004,0.4335748613284375,0.43028784057506775,0.41714671393758973,0.40973174613864133,0.39791696210853383,0.4101276364106423,0.48997645324202904,0.46636972048075154,0.4636989414853989,0.6604696779631078,1.2339095239132467,1.865394181515669,1.8702192094509542,0.9821474406609912,1.2918209272199266,1.307026682380811,0.9766403681673286,1.4947973245014494,0.816167819219629,0.8593281919146931,1.2872646181428589,0.6156276342441838,0.7343452421831035,0.6843529353589789,0.644493449924183,1.1380340198479266,0.7959518154033582,0.6216324560911093,0.620151172315485,0.6889671643026817,0.6248167728704089,0.5207544599200646,0.7578286173044017,0.5532144490821258,0.7721180521844729,0.6548559997127439,0.8912933644470102,1.0848074327140422,0.8245346533333247,0.9004540360446366,0.5898255207603059,1.1743803477815131,0.5077601507790316,0.5132796546359827,0.45757783042462413,0.5257298786994966,0.47329185278500685,0.5412809373944449,0.9901130609827508,0.4958190266421629,0.6073933900635943,0.4336558360315071,0.4318121580377905,0.5012915884241311,0.42963294103368954,0.5103179656901973,0.5052895249295035,0.706522721415823,0.6111817162517665,0.514932956955611,0.48646605514911534,0.5885103889680037,0.5996734341968838,0.5360450251354442,0.517269674116813,0.7189975060615229,0.5561455768306481,0.6339040653194322,0.4644221352172817,0.5446642463166261,0.515487143015635,0.5344579889946989,0.771457528474879,0.5455366633953076,0.5742279871243255,0.689645168167198,0.48504714618963535,0.39885546968708824,0.3905563520437366,0.3880542775325028,0.39070484605135475,0.4158495880446683,0.4486588623418308,0.4202153816846096,0.5371489888060905,0.5188704292567077,0.4664474129449109,0.47623576349617375,0.43993445285605287,0.3923944068645959,0.38072336002512713,0.4134832959400764,0.4408702098532294,0.45108390977129537,0.4585876048708625,0.4968913270262818,0.5789092558785695,0.5636507713203138,0.5320680565456128,0.5552188731734125,0.5291407759953648,0.6737561432707203,0.7454029654503919,0.5093563595187288,0.5247054707091827,0.4763130059706421,0.5386667760242121,0.591214582201565,0.4683996025580162,0.420864883227665,0.3988978135427056,0.418325238637758,0.3909242645830962,0.42500466700652917,0.39342420378953635,0.42536544072595206,0.561347829683371,0.5239132894871633,0.7887676825583848,1.3146354556744926,0.9267923213544565,0.5882973676980315,0.4882729552051984,0.5029435063063301,0.4362664087062951,0.4322999829755713,0.4159106964754688,0.41119644361430835,0.430016777750596,0.40912846441854095,0.47740657765378186,0.7615509994159974,0.7193748795276241,1.114123345429777,1.2745070995215761,1.1578999728795931,0.8226688225130026,0.4662859990789461,0.4905066802513851,0.5024447218424443,0.4357186871504138,0.4617200420284605,0.47807323949006053,0.6910384722602219,0.44571607045022066,0.5822490300860022,0.7540906358282304,0.449592065701639,0.48151906657735594,0.5578058706730694,0.5740553922628121,0.5544150629333677,0.5302008045823424,0.7393648007686962,1.247148150142664,0.8988406580048811,1.1378692418336893,0.8646198088039961,0.8859796542805906,0.8501207116719391,0.7031896016717067,0.7866178866748729,0.7982649279485987,0.66166987215856,0.6116354903047857,0.6751567426043642,0.5208760758436646,0.4974667782413203,0.5006357204384874,0.5211710966712739,0.5091042211637822,0.5140620949028251,0.5647398458693391,0.5588794609391666,0.6337892032122515,0.5824977425940918,0.6543297262950317,0.7735110199405246,0.7977802518163428,0.7263981974457646,0.9760959320466567,0.8551480897634569,1.154491305345067,0.9226186118700538,0.7820932212067383,0.8075109669551652,0.8640747720192531,1.585488526494266,1.208451387742195,1.6104968803507074,0.7240784059069171,0.6928445390979282,0.7522375525731931,0.7074094984307976,0.7074945228213904,0.6050346532050459,0.6950313962206487,0.7599869011208331,0.927228709200482,0.7811974242850444,0.9014266597731911,0.9422955163896825,0.8920758789333668,1.1057796237642912,0.7365425272610029,0.5904566256241227,0.5797228105352642,0.6165747087456185,0.7083622638604817,0.9082393297299951,0.8054291404221902,0.7113091285944334,0.7107314991160578,0.9199004952266023,0.7834633582408999,0.7058495154295075,0.8945658030362964,1.0022535382047946,0.8208973300222556,0.8790588794785572,1.075774237896219,1.1070855239267385,0.8861425903540939,0.952977248590602,0.8076093781377102,0.769313325192176,0.6660713024800612,0.661161990378114,0.7389563769259484,0.6212349490837111,0.5918118870417042,0.6602274321441446,0.6984504096061162,0.6090982886201389,0.6925053753071053,0.9260010101767628,0.7804201823509064,0.7585094639230049,0.8203527058914424,1.1509964083727264,1.0263277634003376,0.9856779718803186,1.0972311389298737,1.1439065143277707,1.276305192416291,0.9657633648393688,0.7852286672872496,0.6791592327382234,0.9457184795218491,0.9675936286235378,1.051654832131251,1.0932223257446307,0.7904859785559869,0.6325054493105493,0.571411378052816,0.4553180301689855,0.49998016424872804,0.7126051029490413,0.83046873027095,1.379805968574763,0.8340367397166489,0.6802869311660591,0.6813798460458279,0.7145867316220615,0.4943618657267756,0.9678008150570981,0.832631222938662,1.3354653161422916,2.128246239430742,3.09989489457022],[0.403608768421466,0.35915404962009306,0.3953379956609315,0.36425483922420526,0.39730453608371963,0.36895472893152587,0.33648696655349547,0.40032087349573675,0.38352827685360247,0.32174573818980745,0.33695600906727663,0.4705560005643117,0.3241517798616449,0.32815281134049495,0.46400419104563795,0.3911387440538928,0.3848696301018736,0.4325041189145081,0.5612408492883286,0.48713950533091127,0.5698745893444543,0.6072982484025822,0.6691894501040316,0.8274549581304342,0.9117375675051838,0.66454743279027,0.44608402754930704,0.3851667573709194,0.39883652195675345,0.4028003056366613,0.47195851757370905,0.43323489975817514,0.5477863509390313,0.4751246598714148,0.4174367317516285,0.4206966069625547,0.3945967411515566,0.38186334709748837,0.3781188935813911,0.3846361517453269,0.5007471844438383,0.4758073687256452,0.46857133208496715,0.6771134976938149,1.242557107535788,1.8520551052857457,1.8602910751956518,0.9990974556707329,1.3133432896511334,1.298655973810294,0.9668405363192575,1.589036752751691,0.8190209498170571,0.8954963296635245,1.2754412976334972,0.5752049295663916,0.6842086171638767,0.735642168006048,0.6462072184294112,1.119696703259048,0.7617315853637426,0.6263506060002418,0.6228390379085419,0.7440272632713532,0.6522934001172348,0.5534907479944108,0.7898996036378712,0.5839800022435633,0.8061897398679069,0.6815202568652013,0.9178898331282787,1.1160528640216685,0.8534368867138195,0.950889464248881,0.6110110135746446,1.245040296045341,0.5363908420161002,0.5398706594716821,0.46319220265158173,0.5185318190397397,0.4620482116740927,0.5121133587245765,0.9802697262325473,0.4678223684145925,0.627222132189846,0.4061534123765054,0.4138122096358418,0.49176487941250024,0.4273593222247143,0.5234440412310079,0.5153445956025384,0.7115676074281243,0.6238334516257187,0.5205225120921685,0.483799488554141,0.5913096665576713,0.5919270900753714,0.5244991767433744,0.49845807402161035,0.7058760795853485,0.5264866697712858,0.5998541983608959,0.4324911443511121,0.4845359286536406,0.48560918316186474,0.48179289243622475,0.7122929613541934,0.4717538869460361,0.514402348015446,0.6548230064580777,0.42195022404073357,0.3373080247765042,0.330113584043124,0.31295218859719554,0.35660671719691095,0.3635370634540312,0.4042113207181454,0.3762957111080295,0.5542970984758848,0.5094094284061872,0.46276466302902863,0.4727321234142142,0.38428078368619395,0.32842433060695536,0.3123514055799228,0.3306558608612386,0.38112816394833526,0.3808744408470561,0.36717546942003,0.42967427415861,0.5057309918104768,0.482141540844631,0.45600128616744695,0.5098401478281478,0.4634317428066482,0.5917137806086196,0.7183882423019192,0.43959844055834363,0.450361128796988,0.3922912684275131,0.4727810699463595,0.5529521272587431,0.45189336008348874,0.37776838495658654,0.357599278036205,0.3815830107751283,0.33176220543319185,0.38676015198252756,0.3312489317881301,0.37938890975519024,0.5180718164094875,0.5193418179999267,0.7834812276192727,1.3742546257842414,0.9593573796239704,0.5693291811807956,0.4604489639942361,0.4626096320793945,0.3968734004796475,0.3798655385137459,0.3664671354369103,0.35652261089374904,0.3630780541634622,0.36312181259858756,0.40143457988779985,0.6568328308542352,0.6588834982739669,1.0354763054975733,1.1836404924480486,1.0945792384736517,0.7618503448304853,0.3969515012831708,0.4400543052199383,0.43573850315247536,0.3748860116136124,0.4155268303442337,0.4193065305152859,0.6416620685671566,0.39815053101716574,0.5023642575017385,0.696889510486018,0.3851100284362506,0.40788726479542203,0.4836734008324437,0.5088353378859766,0.4951771087210714,0.4594096855153085,0.698390195612404,1.215055407433209,0.8572565143172053,1.1352356743973426,0.8414176707328147,0.831995007263906,0.7865704331610291,0.623234209905511,0.714819119629669,0.7384934379584114,0.6002521667245815,0.5587943830992811,0.6162211762215775,0.45881691421906495,0.4356596907627581,0.42721967152708956,0.4663214972718351,0.46478331523166316,0.4707418486191485,0.5268286583750986,0.5226399500845641,0.6023894035690027,0.553166355160462,0.6362112821463736,0.7507057905691615,0.7625398736711819,0.7317604261973444,0.9693274086980892,0.840607635245213,1.14246219648993,0.8878419737580454,0.7549961908772294,0.7863736220503441,0.8333001341195948,1.6299433212139294,1.1672915915407451,1.603559142017521,0.6968028592503485,0.66871687717556,0.7215980512983686,0.6953894982697114,0.6743820174233918,0.5784006610538474,0.6629727661532956,0.7315556907410882,0.8875570117743874,0.7350937892296361,0.891266414808926,0.8767945188803737,0.8263460335195958,1.072499170358767,0.6813536063034087,0.5408926153725494,0.5529255600604852,0.6011782213026874,0.6992205573997479,0.874061476940013,0.7912439396001143,0.6779925949605611,0.6787769508002531,0.9099658770522976,0.7559308085288785,0.6669285276293213,0.857794852662224,0.9610348942701886,0.7752705758609402,0.8416952367330838,1.0336543389096808,1.0509069812276028,0.8442794103202782,0.9109487043895637,0.7761913235494665,0.733452674729627,0.6318513259826969,0.6236489907928057,0.7015964491766827,0.5865699475454984,0.5502399614613858,0.6189081578685081,0.6625609413183978,0.5683777510149444,0.6475626594057787,0.8835521013083966,0.729586629464957,0.6998541207349337,0.7556242429521237,1.0960925166825863,0.9701480854846188,0.925081605872298,1.0483079012307326,1.0936539365026452,1.2304653717443372,0.9109995715175723,0.738506667470729,0.6288461508715673,0.8785755876181959,0.8903516773999945,0.9730602703130197,1.025982491957437,0.7398629285187884,0.5724925912596559,0.5031862169006291,0.40140560112085766,0.42386231315210643,0.6479450195075963,0.8006219639706733,1.3893984862406428,0.764657160819138,0.6675571041649118,0.7451341134869477,0.7298833759195582,0.5073692146167582,1.0402907111533704,0.8811846347189984,1.6834326254425445,2.368292036375683,3.2909668526635287],[0.4310317801479073,0.3772103693930262,0.38002040169940254,0.3881502663207839,0.3915977273564704,0.384933171553726,0.35018221496800417,0.40167681761001106,0.40030371642138635,0.35178708269752107,0.38394120996978626,0.4717817906133309,0.38074071177421553,0.3840943353368177,0.480853424250936,0.42357441642594457,0.4401543728840479,0.4795182709801504,0.5876675488187192,0.5401136828797297,0.6302425766932018,0.6736246616335586,0.7305767090772554,0.8850743388324337,0.9677450836202128,0.7349698213454966,0.5110335948157314,0.43793115525285264,0.44302005566342556,0.4371414362479573,0.4976414187620474,0.46532065645252546,0.5506539817631871,0.5049600989425488,0.45520766659560435,0.4548117526168064,0.42204149158668386,0.43666597054863526,0.4636531025749948,0.44727902760905236,0.5680616695529678,0.5468752322091172,0.5450489739071215,0.7457788045484167,1.3148793859921521,1.8885394873007828,1.9490947374116028,1.0596424581201054,1.3549001745242701,1.3526961472305237,1.0260568074752257,1.6923216420290437,0.8939172193115871,1.002970499935196,1.2645875129593898,0.610064690071221,0.6852118358436127,0.8284893955138635,0.6684252057129488,1.1600896352749506,0.7957584476584333,0.6526437954105201,0.6770457932835731,0.8084128115621361,0.7064753326427605,0.6202099060213667,0.855909565305006,0.6259271803023886,0.8325458817783928,0.7086875887242993,0.9083996491308155,1.0891132246411106,0.8658468697666597,0.9774780980469479,0.6476743839695492,1.3267849882908842,0.5883051596539313,0.5703038767376111,0.4995565763114261,0.5486025690938829,0.4989283311880744,0.529691100264768,0.9728638470558898,0.4896572999579486,0.6619947504446855,0.445523855798034,0.46490382455678564,0.5225280757227506,0.47618448804859703,0.5557921455358089,0.5361406957472024,0.7499284665171786,0.6597375256581843,0.552952416739901,0.5158008210318487,0.6075090250049456,0.6080258655126669,0.5244396845160374,0.47970444840948906,0.692921563382009,0.5203444548471462,0.5876981899307306,0.438409384138926,0.4531162513375622,0.5105293915528726,0.47049173079823403,0.6702352976964985,0.48499878248146067,0.5022608343352841,0.6437344949946326,0.3965517663278221,0.3716183555626522,0.36755093134267736,0.36422065101361834,0.38801061378496127,0.419890349187459,0.4320645256901679,0.4542700773740411,0.6389951191509212,0.5670981027365463,0.532950528346838,0.5318814605239183,0.4444835630776414,0.3760986249003217,0.37602316410664677,0.38695095527911477,0.3973557501633979,0.4194405412031142,0.4009491913708423,0.45133682494632227,0.5563177906419181,0.5307977836522233,0.5103878882959377,0.5045824042635586,0.5221642465583142,0.6302100971539262,0.749565036080599,0.48678737659186916,0.49816484950854195,0.47597998036744205,0.5185626694750962,0.6076314694040257,0.526527843757539,0.45189583732173905,0.4389396035026286,0.4383660412775465,0.3882744292071692,0.4126962460236436,0.3546789028549016,0.4035700654537396,0.5230580184137925,0.5239630398913818,0.7583455709506308,1.4016468009902492,1.0085981179246917,0.5614023858475847,0.46490324859035204,0.4699821809700739,0.40548006873068826,0.39698002500073715,0.40335706141291167,0.3927125365875196,0.449401805908896,0.4329171959061566,0.4637529017356916,0.7220572848490656,0.7568235277763994,1.1113958715575154,1.2298696524166453,1.1483109470622248,0.8359827329456087,0.45738288547117195,0.46086545452020067,0.44207601151764275,0.3812495473839608,0.4311760545234389,0.42665355251133436,0.6287305556964775,0.40575985932521147,0.47441545081888803,0.7454310660941961,0.39393297150792433,0.4331507403738389,0.5351427193809435,0.5584452120760559,0.5485269318121768,0.504727918960235,0.7218578291261015,1.2038311322327522,0.9083996927936121,1.2520226563569004,0.9590252712103006,0.9349711516148991,0.8713081920929071,0.7010154893359326,0.7836438364769301,0.797672182085532,0.657810501383215,0.6126229100191978,0.6741924312757512,0.46781566286757786,0.4358262139189322,0.4442595322136347,0.4662871769912022,0.43910504071590056,0.46165128306930725,0.5143033947342437,0.48974205316883135,0.5668828737013606,0.535492084359847,0.6081749880123085,0.7112919599086155,0.736328944021883,0.7085837149359108,0.9405142746988565,0.8230992813964326,1.1027134210346332,0.8374585545339887,0.7021420997499535,0.7401543962842377,0.7821603548625804,1.5380113895547218,1.1166863912041856,1.5817336637816721,0.650816774517489,0.621453500931882,0.6757874070064374,0.6689769786154723,0.6183248849467085,0.5534495962674926,0.6710577846018652,0.747869804357295,0.865126343851729,0.7543787221648772,0.9546496146337207,0.8765418013403539,0.8329559555431868,1.1377908477175251,0.7080015442605201,0.603472116352628,0.6039748219247518,0.6029428069729482,0.7223661882061378,0.8409058722225027,0.8045608084614763,0.6873296744254029,0.6340396193830417,0.8737920307226801,0.7513334096912366,0.6313600410600754,0.8047404579613262,0.9144936671112681,0.7344152062827601,0.7863499293310018,0.9812643004188129,1.0146590092468413,0.7991047974715786,0.8553015291065873,0.7221521404069178,0.6740565055784656,0.5819791445658077,0.56883826732675,0.6398454249996374,0.5394511282780885,0.5211385766195222,0.5677628195404893,0.6139699463654911,0.5419039176502518,0.6123204550487726,0.8353407603498799,0.6891473319503285,0.6976367919922796,0.7342580373619119,1.1162162400319342,0.9739564304988843,0.9192560232718128,1.084338011587449,1.1277253538437342,1.1912752976380097,0.8807127527530303,0.713380203796763,0.5988804040625461,0.8408589464182948,0.864248749547209,0.9481132723726441,1.036615533662616,0.7339704245316611,0.5752782647643578,0.5313917754393751,0.4301465383810728,0.4235041081672105,0.677633945654205,0.8283405310538283,1.437118053584061,0.8009427093867809,0.6717329917578019,0.7894526269448886,0.783650548702282,0.5612755290202607,1.0779783636283156,0.9761310586278843,1.9187854542146685,2.5198504179720747,3.4326391806012895],[0.4699387131041085,0.39726834038690295,0.4011137482564038,0.42049667806881175,0.41158511205311105,0.36583474244716147,0.3260793776153739,0.3813206579858634,0.3694416091584566,0.32555300800929066,0.35677002300913535,0.46499827552528167,0.360185177617296,0.3658506991834392,0.4913370761446503,0.42863722089420664,0.44178984730708476,0.5003748485172835,0.5959944290734016,0.563322650517173,0.6534333743102162,0.6714329560291588,0.733522843699819,0.8847479434843982,0.8883203747935101,0.7021050861875914,0.5132933947453276,0.43490276518704934,0.4562155818236412,0.45453057342101433,0.5205732800326813,0.4532619762058581,0.5832702799886829,0.5381119978158388,0.4788579142011303,0.47816858356473474,0.42847569001722324,0.4510567385309345,0.4501510080719198,0.4491086865534826,0.5636629184477597,0.5484740331740516,0.5451318590477991,0.7241503328062802,1.2396234582334857,1.797920863550291,1.803491202417586,1.0124343146523263,1.3521528610279534,1.2961362352836916,1.006098159746842,1.680180970864097,0.879215050079633,0.988190527925459,1.3073131549817092,0.6135708580712235,0.6917306971353135,0.8456401432661391,0.7181621943641293,1.141689625518275,0.7781739578014385,0.6804042806987561,0.6997405299387942,0.8567831508434205,0.72023582125539,0.6455198382378553,0.8761611929793478,0.6563097062830878,0.8670371545168959,0.7321085457958112,0.9635899788271193,1.148773152212602,0.9018219098668674,1.0166671963493081,0.674456038279631,1.3548871390762909,0.6187680682651174,0.6037979899896945,0.5321018024651195,0.5850197067388424,0.5316469405728383,0.5440844059051676,1.00478544294592,0.5269348250737208,0.6975268709424345,0.473277292881018,0.48148281449887326,0.5501633438679809,0.4921743461443293,0.5763265076932209,0.573891059955475,0.7655230912466146,0.6765973789105402,0.5754627805475091,0.5312337789525291,0.6187233940435759,0.6153300938682351,0.5235139163748693,0.48187736873282944,0.7054576442457134,0.5100400896681485,0.5906302047796463,0.4373600967057645,0.4580880136877533,0.4878269820774489,0.4794224905349893,0.6576913133079949,0.43639817921966767,0.46948161814483735,0.6343834237287217,0.39598656045921155,0.3432142746354177,0.3417079176271823,0.3460997812210188,0.397331241033791,0.3959091869914498,0.4235230752785052,0.42562889273693544,0.6050174146903352,0.565412725243412,0.5140298013926539,0.5213906808220209,0.4041390827044473,0.3585533322704183,0.3480563569134054,0.3565208346067515,0.3761363767450561,0.3842992670419384,0.3666664673394031,0.4244758344486549,0.5004749040711979,0.47419662968176346,0.4613757664629663,0.5191055978885352,0.4819639051635127,0.5600666205589117,0.7369968692947884,0.4619147063975421,0.48963989256267665,0.4271988216162726,0.5259182347138464,0.5735662620847848,0.5041073260766227,0.43429970469854506,0.40658257843191564,0.4126647472475174,0.3546428947827529,0.3976524256438113,0.3543945935564632,0.39778015170960845,0.4963664673482873,0.5448546655743303,0.7829177519826062,1.4571714530426836,1.040099403059452,0.5554591073048106,0.44453194655282663,0.4515526757468348,0.40100774225359326,0.39087932771820333,0.3984909812658391,0.38724499114766464,0.39353254301061846,0.4015441475853995,0.42053423891030633,0.6369040062353368,0.6569989416235353,0.9519043393563998,1.0935793792234672,1.0442810543039924,0.7495853806277368,0.4316946555444471,0.4473716206828368,0.43386475967339994,0.3812823842968306,0.4411531772708649,0.42739126990011245,0.6370683917679086,0.41909418121616276,0.4769459093110887,0.6915861270767004,0.38622962608840705,0.4054760295051105,0.5058920602423855,0.5340129283895882,0.5286627017635522,0.45165042508258374,0.6857561540320491,1.1889677651156798,0.8478923758518715,1.1714500179227434,0.8995268402378168,0.8444799767093215,0.7808291072982868,0.612812644034327,0.6668068225999553,0.7195135281895615,0.5641137365018349,0.5428495397031401,0.6064595893443151,0.4373943246238425,0.420153874487398,0.41445119682853754,0.4478339271419985,0.43115952994583445,0.4467812416825453,0.523179693372778,0.49281067175441523,0.5530438049844232,0.53473693983848,0.6173718060293051,0.7043643086272176,0.7048032778112963,0.7631003463739,0.9609053796755581,0.8245292478513897,1.1113714793320382,0.8429608363301735,0.7272849167861826,0.7396640961903979,0.75825659147898,1.681624985828749,1.0743564866841064,1.6033947047532744,0.6568306603723862,0.635981107109602,0.6807707914497538,0.6798489127186661,0.5917992603920849,0.5427368549397354,0.6554230817826918,0.7194079085184537,0.8331506960660068,0.6957675132623603,0.9301273293643848,0.802279878763815,0.7692451486613958,1.0840429460496694,0.6686577148905228,0.544621215314877,0.5731666181528418,0.6237809258538615,0.7180344278857114,0.8400148657809706,0.8119380329856555,0.6733662752923909,0.6303550012381666,0.8646831960456037,0.7319363822656505,0.6072739383534204,0.768524806136612,0.8611500671934795,0.682244751236421,0.7429261951772601,0.927912869613566,0.9398265144509076,0.7458333757993717,0.7956096034829759,0.6982857489297193,0.6592164348248697,0.5694643025823837,0.5686719405474923,0.6282093341758905,0.532221815096682,0.495574267890535,0.5563807056724165,0.6135453192439021,0.5179748132994393,0.5741186937396374,0.8291204056892479,0.6833966462096394,0.6318936299901455,0.6921831472915697,1.022019825795618,0.9237219520299166,0.8807187383574822,1.0083640700946652,1.080779573247602,1.1533721397271408,0.8514164705497361,0.7130364818970402,0.6055263913641553,0.8337592194458456,0.8040576608405353,0.8684788844513651,0.9465354721676493,0.6975443161606213,0.5386394351222563,0.47638169363443467,0.40094771278212027,0.4031235400011642,0.5909009243527426,0.7885999389278453,1.4087671901245917,0.7496433190334753,0.6811085134728575,0.8750174478609355,0.8128652890862467,0.5899287822193447,1.1383622929723227,1.155489324314618,2.369555505501908,3.106182416464571,4.025174658983653],[0.47323835658515007,0.4247027445065143,0.44289832250780564,0.4663224042369771,0.48794718904353324,0.45065668509878715,0.4559131642206248,0.4819377442697519,0.4903481320328919,0.5087644956357603,0.5332071469848271,0.5921570132478281,0.5458567580970733,0.5656719724966075,0.6244333454158085,0.5856258911512324,0.6129541590790228,0.671510099542761,0.7475693992111802,0.7343027250570044,0.8136762203269217,0.8273174656888926,0.9038432485570101,1.0717360105411728,1.0430155054300254,0.8815631785381403,0.7068611252670277,0.6380554661310142,0.6238558362466858,0.5987516791888333,0.6620315871273862,0.5943778332848874,0.7221365149372251,0.6885545992296276,0.6232151829798807,0.6329783188419571,0.5849038502048798,0.6211473987768871,0.6510024775112849,0.6378695938678629,0.7490426764475238,0.7423313752500615,0.7440524845591032,0.8941924629117749,1.410084541190123,1.9208413141986105,1.980347518885102,1.1810194067829174,1.4761552108994578,1.466755680000639,1.1606287279779546,1.8502177930088421,1.0402755987021586,1.1761789699817693,1.377514082833877,0.7970705733849464,0.8246535983937366,1.001046001654552,0.8596691681182328,1.2157034071603987,0.9164809864768665,0.8287618783541746,0.8576919898714513,1.0190717727265257,0.8874352302719137,0.8277642073920363,1.0325489021427787,0.8105202950738642,0.9799756203101869,0.8577423586550891,1.0090708579857544,1.2006288039278121,0.9915986667000756,1.1423762013599814,0.8223865079383159,1.4827128843757311,0.7776140575193469,0.7357844869334699,0.6810780594429054,0.7258001240671698,0.6612651567137265,0.6870847696894183,1.0391543272932187,0.6728594096298812,0.7953577504070207,0.6094513197880863,0.6461284806457928,0.6720773684526223,0.6520011395849388,0.705245693513963,0.7231324183326662,0.895840179608335,0.8103058349426776,0.7168505793068288,0.6686784128398467,0.7494863629164453,0.7275640617501066,0.6644710899209433,0.627176827808811,0.8328833844045291,0.6502228583436938,0.7209369564429271,0.5766594375368018,0.5765876411589692,0.6225359293483228,0.5834727237625273,0.7291194008594041,0.5224003563999247,0.5446654892108423,0.6979464180976662,0.48214398116034823,0.4806554595720569,0.47020015177885616,0.5126021210649271,0.5654597947600746,0.5872370832133335,0.6258662583014917,0.6629574317745687,0.839218435904125,0.7485603873569819,0.7220340030695829,0.7064965547747414,0.6323310387981186,0.5612546553391555,0.5188130415760707,0.5275208952540256,0.4918848711108548,0.5267758167590038,0.49538810649863724,0.5580100275951281,0.6299647730390467,0.5946541742991064,0.627626647705571,0.6371506111891687,0.6457143441363229,0.7222206825424152,0.8144843566093208,0.628752217069142,0.6542853525660209,0.6403994794566716,0.7171852707194316,0.8171580610162646,0.7319104159360285,0.6541426382797557,0.6392498689034376,0.6038862709485594,0.5690582166487856,0.5578175817411913,0.4994483818270831,0.5353777232119254,0.6087120056972838,0.6399678089758493,0.861153827731585,1.5129083059228519,1.1300098273757346,0.6646604381199557,0.5938173306803349,0.5663328709544622,0.5472385319095503,0.5286186640920596,0.5645176811246683,0.5570545794537571,0.6169345635488341,0.6051556790715944,0.6311523786095953,0.8348461058008101,0.8726128160474056,1.1787739581899348,1.2753644955810908,1.21876980496615,0.9229849167492392,0.6219463604063887,0.605609143761829,0.5940803621987045,0.5539456657654067,0.5883904299788815,0.5797330923842391,0.729484446095887,0.5853871022762566,0.6032883166427884,0.8460788193296304,0.539807277998159,0.5604637156535364,0.6534534882378122,0.6952495577084361,0.7034322499303788,0.6562907375513551,0.8240606662349507,1.2956374790806864,1.0392956287524011,1.3797737133650345,1.0807641521015448,1.027409350278011,0.9476065659760915,0.7832774127847958,0.8438923713446811,0.8542078623774334,0.7016895094225513,0.6505408234027787,0.6909120317061396,0.5110737607873668,0.4855655522955192,0.48705293517454357,0.5098897264973802,0.48051953868928315,0.4927950192875042,0.5801586718739801,0.5451835832193263,0.6004729588313349,0.5774188064379624,0.6584520178917095,0.7520408737363671,0.7511463634528732,0.7575433330232042,0.9810708946561109,0.8701488629302496,1.1359824268342644,0.8897027659922043,0.7545169861753557,0.796792903037883,0.8324019102059356,1.6255578778686666,1.1543443690142807,1.599026485230824,0.6940936963854495,0.6618476507959291,0.6977277196517097,0.7018781501403996,0.654759555014294,0.598474427692581,0.6944233928009741,0.7767971257513749,0.8931366182990799,0.7770747548489793,0.9782010971955372,0.9069162224697153,0.8738861061747086,1.1630342214320901,0.7477087939059106,0.6254196163515761,0.6375275113083967,0.6384946357850296,0.7353209872901443,0.8464765970105403,0.8269181580991786,0.6962631739085127,0.6514549781152954,0.8904114302020937,0.7489589508833286,0.6480592176533111,0.8271608931003676,0.9263327486817723,0.7433759251121383,0.8112817133151042,1.002546735203446,1.018573191130168,0.8251488238194209,0.8868781469293545,0.753951127476412,0.7110319241546218,0.6103662946337101,0.608618060839061,0.6837866935855489,0.5828611565238327,0.5599211848611874,0.6179791020432369,0.665183884483774,0.5922827486861716,0.6612386455857826,0.8872501753868418,0.7347367269724028,0.7243582797348466,0.7642615832510231,1.119365717022937,0.9907325365724639,0.9399122686382541,1.10479195672012,1.1606139051930995,1.2203966269163324,0.9211418260041412,0.7639480443477608,0.6543282062062636,0.8740550464340515,0.8904259821986538,0.9672963276500327,1.0457573998610898,0.7740763707525663,0.616098867528593,0.573066072042893,0.49688786153323256,0.4706831123436793,0.6583535414554031,0.8129502739732879,1.4258623932963113,0.7942723971738251,0.6803625058618095,0.8270484579565391,0.8191692362117402,0.571203712725077,1.0781927416946564,1.021809935097101,2.128879615727108,2.8318179623588633,3.7810296180665706],[0.5139856782290566,0.4726951909196147,0.4866938871998603,0.3994040920991755,0.4076524263172208,0.4107114859393137,0.3749913731577935,0.44799178511807275,0.43889394256917225,0.3666467721939984,0.3892228776158131,0.5157442799108948,0.39135570423217436,0.3841529856584774,0.5149403295183895,0.45502179489247924,0.443177919499431,0.5109254175592394,0.5929555927763338,0.5545398338038504,0.637763813440837,0.6635572425956024,0.7325085113405528,0.8791738516473305,0.9245566886087282,0.7065305149311368,0.5132642433153671,0.43720281118695775,0.45840034423245635,0.46037895259858047,0.5245841677758563,0.47733595555295466,0.6071194620414728,0.552542358259926,0.4902536742681511,0.47289819301539865,0.45588313456305074,0.45403676017206335,0.44268902706283675,0.43886108293431164,0.5534468247445639,0.5440310612372431,0.5375479394292572,0.713306017592608,1.279833143220777,1.8609505852444534,1.8921443150100135,1.0143843080876298,1.3438954135068162,1.319466896531148,0.9953489170906291,1.6814808014667184,0.8817013911039289,0.9981657021361174,1.2985742227910302,0.6128159111448639,0.691072973961657,0.8229751076607106,0.7056078113267066,1.1236468159545117,0.7695589042962836,0.6500618546165915,0.6959609957683421,0.826899440172675,0.7137708721824134,0.6219149141287705,0.8691819671125278,0.6641468523058842,0.8550072126184602,0.7330280858829051,0.9483605072318885,1.1569398782889042,0.8913852937396832,1.0271055774713234,0.674677241612626,1.364696305275692,0.6185651990352785,0.6191951242931096,0.5325445698742962,0.5688416205396135,0.5232551446886885,0.5481475396623975,1.030867892862509,0.5174955221045151,0.6621860541282641,0.47063018009809243,0.4868686738196761,0.5602581501399597,0.4882608445831039,0.587025704028509,0.5796974447898036,0.7597514172645132,0.684573401651798,0.5883270455355885,0.543142249014112,0.6413637439590764,0.6247272696063723,0.5632622697783283,0.5428849711784935,0.7943783809303692,0.568264941384602,0.6489768347869064,0.49581083044337515,0.5445524357454398,0.5455642156190179,0.5340448428316625,0.7554536649650266,0.5106486034536251,0.5549781174030981,0.6899055598251449,0.4668095705600678,0.37906228211299886,0.37677358626659696,0.3474426181167249,0.40171133705320433,0.40553866089855706,0.43558748420914756,0.44537804725582597,0.6244577515117026,0.5631998042937304,0.5170518485000778,0.5161886541504914,0.43718257641338243,0.3644440569301863,0.34097357539905065,0.3584793308413311,0.3909643888922253,0.4063195662646763,0.38950644918088934,0.44340279060376614,0.5191865961783817,0.49098848438642373,0.46735805014329057,0.5158507685534929,0.46683193637654885,0.5766144780617253,0.7247829730466382,0.45257341732011497,0.49632714167035763,0.44797356035922387,0.5089847811677113,0.5956060259164123,0.5114150784638738,0.4292982426053069,0.40791683735017625,0.410809008379232,0.36288237415061475,0.4299066847424963,0.38714316765116097,0.4237524270115365,0.553242654273156,0.5837875965761408,0.8712765207552885,1.4987424396362594,1.0638431771779462,0.6342058511360806,0.5160600788226343,0.5185802375595996,0.458114515201502,0.43112491136786013,0.40968836778522827,0.407266197508701,0.40623495376661206,0.39964550648037245,0.4312097770216414,0.672324727986803,0.6874790749999897,1.0513870243928696,1.1869150495751999,1.108514069593361,0.7861069734245624,0.423496294817374,0.45527435810549477,0.4437069229726262,0.40418323040276594,0.4674857951617642,0.4608636943832319,0.6905754444202455,0.4357961145381795,0.5040677561314,0.7135733298570244,0.4117605136101675,0.430797214382983,0.5100230025395477,0.518976884660785,0.507408573932823,0.4685421451346738,0.7123497447562745,1.1969310168751863,0.8681500002443742,1.1994742148659903,0.8798634764827767,0.845757399067701,0.7961477233153837,0.6330032746975749,0.7346854506320534,0.7592565679772778,0.6158597489171725,0.5914618152355058,0.6104237813819309,0.5003264812209296,0.4823497064334614,0.46276160620674694,0.5103235162769026,0.523612110394487,0.5303879094827324,0.5701661223715444,0.591466951691087,0.6656747620522286,0.6119534438329322,0.6991070035784018,0.8154922097059851,0.8164878790959849,0.7816865684374859,1.022265692915048,0.9030887931265388,1.1940676653292803,0.9584562106064631,0.825407020574502,0.8682402254192024,0.9127783909213697,1.6790116145098073,1.2209672486954435,1.636958859990463,0.7762480615644639,0.7396786008031545,0.7676623016603279,0.7445298912244893,0.737796882996805,0.6400421708968987,0.7047110340133427,0.774177275486141,0.9284899853583437,0.778745604366803,0.9195340517120361,0.919692449914281,0.8770648135601061,1.0951288180459533,0.7233940795310787,0.5711298666861057,0.5856851010140913,0.6532357941622504,0.7520623950763459,0.9463172569547497,0.8526887326678041,0.7309018266118545,0.7498744131647463,0.9764746550246141,0.8237314074440434,0.7244547363539294,0.9341454748777461,1.0323268569699127,0.8331602547716299,0.9190250786310995,1.1145681214204821,1.1182184572809446,0.9241345745434364,1.002317514621306,0.8528460692096062,0.8162560588405047,0.7020977466125984,0.7028548360740213,0.7936837793553829,0.6597622356713395,0.6111364116969219,0.6992245122608507,0.738103368685584,0.6303111112298473,0.7184101413698524,0.9562727623879677,0.7859489702020345,0.7596432103075962,0.8258901550717438,1.1704545062762575,1.041987012834119,0.99133781736846,1.127847617901004,1.170155753641571,1.2967764751105746,0.9796036499558992,0.8023512183722351,0.6901531919671315,0.9313881969028304,0.945446212687859,1.031026719182297,1.0671935266868045,0.769919123168321,0.5847928184256078,0.5229278518500419,0.4261803957983906,0.467633541195388,0.6611390136274056,0.8134822296718508,1.4011332192409898,0.7710221942435093,0.7121204923319338,0.8312749516450614,0.7865710119813749,0.5594492547846148,1.078691010775485,0.954775380591114,1.7267889317843088,2.455172243354148,3.4200707687638494],[0.42091534597520475,0.3936094508510315,0.42731317712417866,0.4047144253945903,0.460535033063924,0.39717206477281464,0.3784206950764479,0.4189531217349532,0.39340763124183276,0.392562452107396,0.41870293959727756,0.5062314801934338,0.42439673946313927,0.45218237001512956,0.5406266320882328,0.4814946630010524,0.5153985452493872,0.5754185808931466,0.7184288952040406,0.6621772816201958,0.7615046064833888,0.7933897044503924,0.877151324294052,0.9897951502227845,1.1099541997025282,0.8787449583327652,0.6476942713072593,0.5540096482594595,0.5276396124653169,0.5149387919971137,0.555221986647503,0.4922664398372595,0.5997458512651483,0.5538670550556339,0.5115686830552165,0.5423167516383389,0.47945156053798943,0.5282697123767959,0.5633937833575176,0.5547020084313385,0.6879746558166177,0.6668857259430419,0.6673920083819563,0.8740478679182929,1.409012400207903,1.9787185117123398,2.0688099271344513,1.1932009499637004,1.4658360525528034,1.4791721802647273,1.1680467881421093,1.6867733971893848,0.9837512549574126,1.0362619241672393,1.2811994734713406,0.7216507849141102,0.8105274937981001,0.8664711250926793,0.7402328030458497,1.2681307603663696,0.9107684353398701,0.7829503037661635,0.7744624169366878,0.9364330654410403,0.8297077543780674,0.7374210627289394,0.9785372576548034,0.7142483236268705,0.9173041037219193,0.7729950491166312,0.9680159269268181,1.1692696325842722,0.9431072301407201,1.0769124539551012,0.7436749280841568,1.3972247392581756,0.6790679470674951,0.6294449331337354,0.5760649218393838,0.6332712648624036,0.5782957136028677,0.5944081689419104,1.0227618881024847,0.557928482083125,0.7351971426095791,0.5274083849565641,0.551933668991352,0.5864225330959638,0.5660691772879418,0.6106592584796906,0.6186154525344234,0.839078641133998,0.6963636276331876,0.5789764264778897,0.543222981784582,0.638415029747511,0.622940383675875,0.5513346273796025,0.509446780724692,0.7351644091907261,0.5490948942779538,0.6309140679189845,0.4768463713760036,0.5003082352254432,0.5235906075644322,0.5289481306793915,0.7295074384906467,0.5162687666905181,0.5331489688292598,0.6627255322874821,0.4613840043895278,0.4051756612304588,0.3861654972852829,0.4448628089649043,0.49590991515434035,0.5214430117398324,0.5439167011331345,0.5862853993705799,0.7442880477504424,0.6625170588761752,0.6397320629407848,0.6315102436243243,0.5535559402329452,0.47641635580784286,0.46569225215622195,0.4560072743094522,0.465988209667048,0.45329709943632773,0.4516276861322577,0.4932874143839051,0.5993654089763762,0.5747377176751294,0.5646473682925717,0.5480855754982396,0.5773595932575845,0.6863473728495704,0.7894147160298455,0.5850206428523516,0.5997193502644208,0.5787541317796306,0.6807314543893038,0.7541500521573989,0.6556278992009132,0.5708148714720539,0.5514496627370181,0.5301349150145493,0.4814018746365675,0.48575401922785566,0.41609224799906,0.44506205463774096,0.5449773800881217,0.5444067639422153,0.810377370231975,1.4304768415869524,1.0123512171367994,0.5924390296311813,0.49451871789061796,0.49130966670725223,0.4464493753172067,0.4409568436772742,0.4622818558968146,0.46521955810319493,0.5377007963039331,0.5311390424229082,0.5656074538136284,0.8100267595059493,0.8119485446299088,1.1785437325737367,1.2778525859965997,1.1848167844665467,0.8759412302150094,0.5326805451672582,0.5364951941836349,0.5294235637635291,0.4636148330680704,0.48881251820134347,0.5028463880174976,0.6945559110957584,0.46853382858437137,0.561254499465086,0.7969715429866083,0.47224856386654473,0.5102012560917165,0.6064867973156429,0.6184910348901993,0.6420081061012682,0.6148215037090512,0.7697562723912975,1.2729167392441603,0.9489144081006408,1.2192084511185106,0.9825270687697494,0.9670796643954628,0.9093956892414634,0.7536531970400392,0.8356445479265875,0.8309366025501336,0.698767434128305,0.6398322859917307,0.7101740377663951,0.5064096310511431,0.4696804776108137,0.48273136761582564,0.5147789581899528,0.4911796522421339,0.4878410225596079,0.5719580789328348,0.5657116473507905,0.6321210614444802,0.5857708817537368,0.6775959593669763,0.802827032757414,0.8071370664446652,0.7511794707839362,1.0174547032902466,0.8950590526153377,1.1997053692989839,0.9656751795440256,0.815855463993712,0.8543208472511226,0.9085662973472551,1.5713836279618003,1.2533892136913347,1.6134939351127058,0.730984680638744,0.6762493225279489,0.7033957587270566,0.6720508225052795,0.6991668195799629,0.5767454032122035,0.6629187738439924,0.7552396000445586,0.9100012179779277,0.7846315614260126,0.9752010765856639,1.0024396930512658,0.9488265735012994,1.1930728822962722,0.7776327597191871,0.6187014075167472,0.5809376739437965,0.5810557631767761,0.6819811692994131,0.865480854029517,0.7839613080236989,0.6767933858386493,0.6690720052529121,0.9013003864301387,0.741835626609392,0.6743066481124358,0.8798368828900401,0.9832465873749253,0.800995687090183,0.8790943863877737,1.0837001404703612,1.1068770889622723,0.9056694709469039,0.9802441033994485,0.830359366404712,0.7797304367224703,0.6598161332070019,0.6595594963401921,0.756717572922325,0.6284178770876349,0.5925752574763917,0.6754629390176827,0.7190693991623863,0.61598979444036,0.7153973949343407,0.9608931260279959,0.7977685684918391,0.7930145664611019,0.8574424502652191,1.2132925935075691,1.0704491113998573,1.021727148873763,1.1827371951636767,1.2100878046826904,1.317376983338471,0.9878412540349389,0.7934350094602681,0.6747478074729663,0.9196111929673085,0.9481650009775153,1.0520599687758505,1.0971209905710755,0.8009520733500286,0.6324191775669702,0.5806325907101535,0.4718133550270433,0.46742252838694287,0.6749596286366711,0.8144387614908959,1.398580806982091,0.8214927852430678,0.6693808528406888,0.7417435514491073,0.7579320318518837,0.5242088733047696,1.0286268193995753,0.8937935037354114,1.5960534300512292,2.3248274099126522,3.272411376487495],[0.6655385775702095,0.6814384400590004,0.7529478100268132,0.6398062973285479,0.6572444541167962,0.69893963073491,0.6327687727192808,0.6571576407006332,0.6003499018256576,0.5091282865587037,0.5081533178787052,0.6357776821351457,0.4907741618425177,0.44789963519800596,0.5395768365913549,0.5056638964717733,0.48098686767819776,0.4803905057651105,0.5894107129741722,0.5199901252228968,0.5541833246680712,0.605072369995916,0.6779559476097232,0.8355302012795234,0.9949769438929502,0.7029163182859683,0.5106281774199558,0.4913201462966108,0.49705481685179526,0.5278150195880413,0.5397799865052384,0.5705186066321475,0.6551869420071212,0.5686915141836925,0.531619942752437,0.5105159353837632,0.5490648439327883,0.5079935666028074,0.49736967254783476,0.5272666583668629,0.6261288252994849,0.5306573857147528,0.5324472134752228,0.7245635400773751,1.3041077567520463,1.9174791533862372,1.9493198837861725,1.031840567893608,1.3391419610448267,1.3871986805332346,1.0403126346731264,1.5549269557146614,0.8750235648000787,0.9472615151198951,1.352710880586012,0.6446525593545026,0.7150882004150654,0.7601854712658767,0.6976257313343752,1.1469033461349076,0.8273291764996704,0.6530629252203671,0.6501533225343917,0.7057697016834894,0.6337132012132618,0.5348607262023095,0.74519503469278,0.5859237008392927,0.7641570514732222,0.663040446967645,0.893527751183674,1.094731377599336,0.8284718445582608,0.9192038837526937,0.6037199127793431,1.1744496780928737,0.5477145638636604,0.5618947336802033,0.5358550034605095,0.5853352361935713,0.5997420961010141,0.6368198147382585,1.1033658650651597,0.5959541946453285,0.693596740709615,0.5482973192626549,0.5275004046111781,0.607665945891111,0.511426911395798,0.5888251521026152,0.56960717453305,0.7251798778383517,0.6587594158639775,0.5803161704085327,0.5601811172404563,0.6502219792786404,0.6552099812909361,0.6401016300153428,0.6416026191325261,0.8448620293154973,0.6980144827499195,0.7925729026957853,0.6361439269380308,0.750395505477021,0.7345041709806018,0.7483184886475631,0.9715408938618123,0.7667085292517145,0.7837923400147729,0.9043201524740935,0.7150541787006937,0.6062235845861593,0.5976804265242753,0.5721334735906408,0.5354316080354242,0.5262587706701466,0.5363505889669877,0.4702461687957019,0.6157938666727985,0.5546916281798667,0.5130471503254023,0.5304674683442435,0.5124570549091646,0.498273353996795,0.5487571466484737,0.6002511051261981,0.6588152128698472,0.670518644948021,0.700040711576839,0.7374060058730764,0.8005181705243458,0.8229906575871092,0.7560040167854559,0.7889977508546576,0.7327250940757425,0.8617421188489296,0.8827444009904609,0.6597010276743757,0.636205482295959,0.5853881579768355,0.5697020240308975,0.6290921032416302,0.5337191880460579,0.5137432956226853,0.5012808810465933,0.5188307426114177,0.51492356170164,0.5713779569992001,0.5738116295305844,0.5984053654372554,0.7402772072365156,0.7189975067254487,0.9573242124767376,1.4648640660621766,1.0289024982468746,0.753967009212849,0.6578184323978873,0.701193262364155,0.6101802877775274,0.6356461655284489,0.5866496465060987,0.546714421604306,0.5566589940635461,0.5393945501643532,0.5924335935443206,0.8474469947290898,0.8196248503048957,1.2143480062912702,1.3755705465470471,1.2401143706432378,0.9187758245622184,0.6051143932271488,0.6233547172066015,0.6458957447577046,0.5985126148631038,0.6440117869811983,0.6155406701201167,0.8209577817272165,0.5919131726122151,0.7407234482626573,0.8515551598723615,0.6729363070817047,0.6934520441590667,0.7244605272068017,0.7131484283959172,0.634440522381435,0.6399885740494737,0.8269234457470194,1.2991599114231631,0.910218914028462,1.2269316850445842,0.9987190529431231,1.0125050900532975,0.9960636313525396,0.8891722012710588,0.9775581084091219,0.9835024687510496,0.8901504560523622,0.8405348510130723,0.9198146956000497,0.8209591185130863,0.8111878706916003,0.7988527068232066,0.8242501875617497,0.8376967077118632,0.8414110015656034,0.8251238793895156,0.8616724159585754,0.9451254008771358,0.8954688647170767,0.9346224454034295,1.041749959081333,1.0620466226397032,0.9760994342719407,1.1623582211834111,1.0829064703982731,1.359463016055469,1.1426277990780327,1.0190240581725611,1.0710128768222453,1.1125708147308402,1.6829814311575588,1.4389009259373915,1.7881586868064774,1.0385133637571615,1.01088452783613,1.0381383992402586,0.970578762045893,1.0110357556129366,0.8735850069888759,0.9127919493788428,0.9666933773334067,1.0945927335767134,0.9839577181834231,1.0998847342076687,1.1345519945398475,1.1059201017570834,1.3224563271733407,0.9731722521512475,0.821052300118584,0.7967584550183155,0.8407568656500749,0.9090361327831668,1.1361906817819043,1.025320221416957,0.9418633172977572,0.9985993833411071,1.1819792435453491,1.0071599210851394,0.9945931351713136,1.1680015150950025,1.251775090250294,1.0977408326265419,1.1635795771468715,1.3294474598848498,1.329259583831866,1.1608007302636605,1.2247098700890553,1.0951452903713046,1.070726881519823,0.9783276018487764,0.9643104210005551,1.0329309203301222,0.9243933298283804,0.8974584237827058,0.9495445541151328,0.968875647958644,0.8854720692512229,0.9677949212271932,1.143470694694991,1.0154675737808296,0.9928523242432545,1.0607338882549742,1.357741153569957,1.2377174149260053,1.1986964866241103,1.291615815200581,1.3317887030207178,1.5112307988390663,1.1745412216206834,1.0124445733032739,0.9312251557150816,1.1480575244996025,1.1695371865545028,1.2460629738631024,1.2756420446260393,1.0002873686180969,0.8514676067302352,0.8122105642621863,0.6887475194697171,0.8059249740544822,0.9890136486918835,1.0920343816206353,1.558545569749746,1.0173973498452358,0.9490280732278968,0.9093930840125027,0.8689957540344604,0.7588481748166664,1.2032340184264216,0.9936882146025631,1.4140736122427986,2.2935940456839865,3.1841349693520997],[0.4668621316363409,0.4136645343881859,0.43022770374117636,0.38308029163341634,0.423108541556819,0.39764828735762364,0.3880969132676212,0.4308155605516105,0.43090732346691796,0.35869098043677833,0.36484818584200074,0.4754426519639527,0.35759193635563374,0.3484194572122504,0.4391782925331187,0.38601738191545387,0.41098624067049216,0.42891993247900567,0.5430738258814338,0.4860303216512352,0.5815262789087866,0.6619063727676114,0.7057826500135397,0.8455133752823071,0.9878631017280116,0.6773774377619974,0.4718930541019498,0.41085070533290785,0.4070627945212431,0.39962135899703843,0.47162224058861785,0.43617827466556003,0.5174958374751573,0.46108864412064315,0.4121990635607156,0.42396418524566004,0.39011718877949286,0.40745015623905523,0.42528635983949803,0.4048724406312619,0.5514026971359747,0.4932985011559157,0.49721680808708185,0.7241093009010526,1.3475428465758004,1.944711315697663,2.0260800174889266,1.0793310719744171,1.354618539032223,1.4100169301600403,1.0311329001300875,1.615845287702311,0.8708612934109518,0.9142355434268747,1.2163190475399777,0.6407424930658998,0.7386618452900129,0.7414625479839861,0.6404282958891594,1.2107846321353328,0.821493463048165,0.6186281287320902,0.6251382084555689,0.708467351288666,0.6566673922286118,0.5530753114384019,0.7892053125175623,0.5486631445484597,0.7863487705198422,0.6693108083413666,0.8568446388131159,1.0555773882031059,0.8108512676276773,0.9279150922857013,0.5795365269169854,1.2190115413398361,0.5091362945738436,0.5169673550272488,0.44269281069930777,0.5248298837628609,0.4527954022519493,0.507105315950931,0.945618805773046,0.4538477556615917,0.593700130260995,0.4048702047849552,0.41285298108386875,0.4869067450060002,0.4330118909868338,0.5190418387658271,0.49821754972476767,0.7346917709835803,0.6301538843338232,0.5165530502261173,0.48627418099457564,0.6036804543690317,0.6171267536390647,0.5128845018506487,0.47837894499236533,0.6746447558189237,0.4993127778806055,0.5963366575787314,0.4254297632419206,0.4791781194045339,0.5031045941804354,0.48568051940820983,0.7187485983708239,0.5452713785934251,0.5461647392700322,0.6581408632025669,0.4362931528715929,0.3870157401472158,0.38474169778757716,0.3719578379769076,0.3662527812679374,0.4046216095881612,0.4191330726247872,0.4357012314269177,0.5808231236350775,0.5282218067558152,0.5057598049807284,0.5056950809987725,0.43134866486364404,0.3702745857919576,0.3796489064598333,0.40334499212838093,0.4249843996408593,0.4497052977277047,0.4637411672861326,0.506499376836522,0.6164846269105302,0.6055062973076268,0.5469775374733468,0.5313033834927489,0.5377809479102451,0.679629928289681,0.7467994344420341,0.49743450523652416,0.49645112420531945,0.48204645860948114,0.5242561919243456,0.5954900205998237,0.48649798861512356,0.43468765381871244,0.42214684048191997,0.42257400785439675,0.38527408076618824,0.41002854616186624,0.3513058967518883,0.41607169314746806,0.5546879163109807,0.5309516979934598,0.7530695771583176,1.308736021754168,0.9437431013323959,0.5670686384533494,0.46465172589705017,0.46995983862616614,0.3941801543880878,0.4097960658969514,0.38986865428437273,0.3955823500926776,0.4528074230662,0.4285152851663547,0.5039256503704305,0.7905550472825155,0.7971460632436627,1.2059320598373913,1.3076647253930453,1.1892899526093696,0.8562851677726281,0.44799817079954146,0.4616511879873233,0.4549538235438372,0.3907033979789256,0.4211598366596745,0.4358345457529033,0.6241683625044188,0.40766314884030125,0.49631746952209926,0.79446463701496,0.4112735158434498,0.45750778101336975,0.5615880428968216,0.5813332504453116,0.5629212559504794,0.5200320818468563,0.7565041461828413,1.2278705323603518,0.9554755110849916,1.2450807246880686,0.9261002711268512,0.9737076990157426,0.9201696530846112,0.7652559814728986,0.8654027159681829,0.8465739627459773,0.7371851791084036,0.6838423335754577,0.7722917030261479,0.5546553091345019,0.5198815745732093,0.5384702586380601,0.5381221121834614,0.508027395663128,0.5371259192831979,0.5734937211522927,0.5604490555020298,0.6535385820500869,0.6246117473813428,0.6751030064731591,0.8032455866569695,0.8561338040748242,0.7696363173824321,1.0021215382764808,0.8726259494857171,1.1638066406187975,0.8921850390466682,0.7445934856551811,0.8073358540683584,0.8575157770437009,1.467709620508946,1.2008185340918596,1.5677952666235397,0.7165453810625476,0.6625776955759881,0.721832727019097,0.6996332334326313,0.6899886025811398,0.5957931525135473,0.7083771772510189,0.7898509501040908,0.9132680151439978,0.8205550148584515,0.9722825566703129,0.9838133196006973,0.9228514331705632,1.2056179766285884,0.789134371272213,0.6791413787980904,0.639364925129696,0.6171079947226897,0.7247087492382501,0.868396008430293,0.7898636405187918,0.7078939717270082,0.6642799067002312,0.8680773764547688,0.770441765152009,0.6859349147185699,0.8635358051662337,0.9820562804955345,0.8197599954422173,0.8693801292977654,1.0605867851350361,1.121897547181104,0.9110318531542949,0.9642371225320946,0.8109660658836599,0.7561636321040883,0.6535811519550367,0.6424770584848863,0.7252471819193148,0.6133479523123324,0.588736885323017,0.6441985626487209,0.6828639688382591,0.6074527792516987,0.696782624649683,0.9215556390407891,0.7533894737468589,0.78096441065633,0.8272822526673134,1.1945375369146207,1.0406200617437753,0.981007706605029,1.136906786241995,1.1588168317761343,1.2530930062644934,0.9220371254041266,0.754606438429333,0.6462305862725995,0.8758327980348705,0.927088203632093,1.0170530076925712,1.1034257547101622,0.8087979390782055,0.6485487463618653,0.6176276482383205,0.4834484008311409,0.5331434683070858,0.764577565308967,0.8600252800375143,1.4251066099643301,0.9022742334074004,0.6695696122154802,0.6555090396384198,0.746265162441746,0.4993685600687006,0.9593516071268486,0.8324931773970913,1.4138935605779022,2.0160329493184714,3.0416795960745717],[0.5533918408139289,0.49496408907182804,0.5509698508729922,0.4267841326481116,0.5071403275880338,0.4923390513964563,0.46957185493044074,0.5216330977111573,0.4852728580492724,0.3975228112248323,0.4044780427144455,0.5255532480735362,0.3976464937971718,0.36388246625101067,0.45399150990024045,0.4055672844643272,0.41684485754769807,0.4247906170489284,0.5149586285479026,0.46689592501408517,0.5458231111327101,0.6378322108769661,0.6916562491262815,0.8200369463258083,0.9903287558749881,0.6473056956115508,0.4447429497217451,0.3989858279177164,0.4006269695370906,0.4200964590437362,0.48370172615951207,0.4735413710166875,0.5502280129263485,0.47313266560366923,0.4314501254469491,0.4273642250392095,0.4135407480715777,0.41463767661022904,0.4297570585253799,0.43079219744956354,0.5329822729178826,0.4677360154804131,0.4672045249124857,0.6865820227132321,1.3422634589824067,1.9513041809958867,2.0526330094510046,1.0526437311631747,1.3189254288342307,1.4156228367375756,1.0255384225631412,1.5495332594276952,0.8509730027427611,0.8981099382621506,1.2183303558377763,0.6375130125175298,0.7340360859173598,0.7110834346043514,0.6277166666532207,1.1924383178812012,0.8156793867173083,0.6027227706089145,0.6114854957123369,0.6874784449193347,0.6428462182757914,0.5311701125822845,0.7656798565064966,0.5364965556300938,0.7670225607155947,0.6628985160656017,0.8521500891404632,1.0398084321486927,0.8129107887947272,0.9170171078875531,0.5724887644672585,1.2026609435247926,0.4971933957438061,0.5158739127608561,0.4420461118216022,0.5060189465117019,0.456102288129955,0.5265180165204147,0.9656282866590606,0.4942383202671649,0.5802985266456658,0.42697312401623844,0.41525398986551876,0.4924400771586832,0.42394947924920945,0.5287537383073656,0.5021276510026186,0.7338468896496403,0.6349314632650115,0.5291250985979247,0.5012438106197196,0.6144459673322896,0.6254747468954849,0.5524518345284773,0.5397600310395078,0.7507265314259141,0.5683853188046739,0.6904572049358432,0.48087849284157913,0.5794992587671646,0.5466273823409212,0.575724903247422,0.8205790609573047,0.631404460183257,0.6317600833702002,0.7246608985874445,0.5420165075030479,0.45497953393662965,0.44945265735697454,0.43053862145969074,0.3856557820409735,0.42641678206581335,0.41672978337912653,0.43397776315563874,0.5769689531582426,0.5132803149635836,0.4889363839538497,0.48751021881914713,0.4369181808336173,0.38756525968266936,0.4145141308043049,0.4659818683295958,0.506005692649425,0.5119546245934284,0.5716253451280311,0.6005931998414361,0.7038743400425357,0.7034294960229774,0.6252506210183522,0.618304653286952,0.6018517038524065,0.7490708368258081,0.8051714491011207,0.5405252723051673,0.5297904915812784,0.5041825642750107,0.5183695487375389,0.5994081749896792,0.4784300582731443,0.4420583911946565,0.43101645724165677,0.43561105354061097,0.41324005915766165,0.45084221193336665,0.4169891592989311,0.48139967099009917,0.6337366420304741,0.6175334034555295,0.8384947667448327,1.3062727000452043,0.9503455226787406,0.6531081405519915,0.5449799765153878,0.5543989882807088,0.4589025278373972,0.48897235354661145,0.43821485057551324,0.4314703434927191,0.4754797380849191,0.45465239299971916,0.5480859646215457,0.8473004207251529,0.8453459052484678,1.293044896736086,1.399224973750666,1.2428821516100967,0.9056408030236724,0.48592036473014266,0.5093077839049449,0.5202220541592206,0.4512595613792956,0.48210962018334536,0.48232508846747224,0.6718362730048016,0.46020762989058234,0.5782595443445826,0.8579481781388912,0.5016103729023281,0.5391987570028213,0.6463828668307865,0.6315503297745921,0.6058632006425454,0.5639620222062839,0.7624507452469653,1.2284243629245117,0.9691945143591566,1.239942272464894,0.9202954728170065,1.0224681691240156,0.9862744452565936,0.84951654728222,0.9584578749703263,0.9152348089500615,0.827904024454729,0.7764882582750077,0.8558744965360353,0.6680861100169694,0.6452345539145493,0.6572473652137265,0.6648831754078947,0.6401729892834005,0.6493871159653499,0.6972278029839646,0.6911090757786132,0.7802204186977546,0.7366498902772506,0.7702107452733046,0.924055406272517,0.9762541082644686,0.8475492694871433,1.0625242132407064,0.9372556778293999,1.274363759204449,1.0154475658309028,0.8746935806536202,0.936074032965628,1.0178380445503397,1.4905184371277815,1.390543345127462,1.6345538233069254,0.8560203439375068,0.8119826705699801,0.8462425689559504,0.7777384706727201,0.8108123192014959,0.6936427915349719,0.7697534072706195,0.8546989261133149,0.9926220001353508,0.9227367098364334,1.0347844016220977,1.1176318885069572,1.0600850250417133,1.303828123892822,0.9087989789049187,0.7517666421150969,0.691992768429172,0.6720505817806061,0.7461685931856077,0.960589975172744,0.8268673233433325,0.769859890412343,0.7746774628523213,0.951777248871888,0.8334712040370017,0.8011324072195931,1.0001446360510586,1.1105864573214852,0.9520812479615081,1.0173682001783066,1.2200987727625794,1.263261246511021,1.0660491488803925,1.1402732054847462,0.9594756216493654,0.9112078362025846,0.7903276126473682,0.7948262150711107,0.8842912557132633,0.7555866986762005,0.7367912253224064,0.8090042578750788,0.8303015284220268,0.7454598887965427,0.8536315459192918,1.080556258708837,0.9009209563806675,0.9356753431443948,1.0168533440800602,1.3474767409187423,1.1997879787709833,1.145741876325062,1.291675189845791,1.3056554199805714,1.4003395010029394,1.0436061037572448,0.8671775733340322,0.7767197014684671,1.0207053129709804,1.0943704220224475,1.195077260693377,1.2478637132902037,0.9465136642664992,0.7678819427855187,0.7282270852342393,0.5679072112892722,0.6686635624300996,0.844466205585547,0.9094907290704494,1.4169534126088057,0.9792927997745189,0.7273393802382858,0.6193983759995659,0.7431239961762682,0.4979672167810496,0.9023350010117426,0.9283157484436434,1.1238062500801747,2.173820819474568,3.361952010388366],[0.5885745449170214,0.5460718454885478,0.5955330883254714,0.4769994076240482,0.5288039714769706,0.47683517120844565,0.46820847535146265,0.5161871658651696,0.45095887319816275,0.3659435719691937,0.38341761387961765,0.5194843504819737,0.3730759211622467,0.33949616386330234,0.4361746843621347,0.3870199987562546,0.39482970193492667,0.39819384033891975,0.5023649494077468,0.4490216614457411,0.5171741887090545,0.6004767985280579,0.6814036171725029,0.795333859358723,1.0037878262989437,0.6395749711896714,0.42496606617996013,0.3787131381017669,0.3767598351817852,0.3945418299706917,0.4502401128055853,0.46273354305860903,0.5299262247611727,0.46139548965443383,0.41490847322489843,0.3988632587550992,0.39821534545207143,0.37834750218255386,0.3995603719516157,0.42425339816200214,0.5237686645541274,0.4531688882325352,0.4520381381788712,0.7034870055349802,1.3441157325152873,1.968098919987051,2.060474710006516,1.0670106172099139,1.3451333040340119,1.4479658626283773,1.0510645014816664,1.541234866234981,0.8667465753842463,0.8715019981509607,1.228084527674147,0.6259187463150617,0.7323401583741453,0.6920269478943268,0.6225109332215513,1.1764117041017532,0.8049554337497861,0.5911376320935705,0.5823054876177136,0.663295672445085,0.6171939334844357,0.5067153320686567,0.7485101695880625,0.5143979029171616,0.7529054593270431,0.6397952200943314,0.8570852434517346,1.0547419372006572,0.8083533089580754,0.9006768721682987,0.5456702257391367,1.1709681178744313,0.4562411466447921,0.4807536738224671,0.41386175516197177,0.48455754546204816,0.44150066246085756,0.5017958903703874,0.9624583715925423,0.4963399027004971,0.5763540636733221,0.4247765957124346,0.3950297748659792,0.47712968171088677,0.38994938516454036,0.5062132343040971,0.4696152072394974,0.6983449103878737,0.6040935476301285,0.5014628856443712,0.47470973195106886,0.5940987535907181,0.6052677446991774,0.5476638686006079,0.5370557339830588,0.7567043386027216,0.5667465213994337,0.7010161048227379,0.5019076198262735,0.6191816111775527,0.5718591218229876,0.6126697955443962,0.9058343498178759,0.6671969386075743,0.669615157437349,0.7813232197483037,0.5591798013420992,0.480396956874401,0.4490543530441339,0.4236862226196655,0.3706190199622247,0.4160274363890574,0.4148696549941288,0.4247620335380711,0.5721606866005022,0.4974007157401244,0.4676079773813043,0.4628711294437649,0.42019481869116454,0.3681747820360754,0.3891711086897364,0.47575226567898676,0.5146812782309778,0.5429665176402314,0.6011538756312198,0.6203244187025896,0.7422039392758718,0.7618116821781331,0.6648483503716666,0.6581061535659158,0.6225181644203733,0.7523393300852358,0.833082622875776,0.5749547982695711,0.5580471985451834,0.5021922361697645,0.5309967698315703,0.6112401738777993,0.4806116635909246,0.43620811683207045,0.41536499824299655,0.40981080889171967,0.3959796552523839,0.44389245155285156,0.42527270538912304,0.47158157147357016,0.6411731758025969,0.6112797638177133,0.8495234768811535,1.2895736125773454,0.9240892995993124,0.6566199915428695,0.5310738633943802,0.5604541727430774,0.4537333611754151,0.5276628472391572,0.460587223922022,0.41189776589299565,0.4657249640600844,0.44664067097722115,0.559712532939324,0.8479715155394455,0.8627579322787594,1.329704393688027,1.444769350167215,1.2675262376287948,0.9329731321032217,0.5009955474776603,0.5276101670275515,0.528741217147111,0.44723718565846693,0.4883264927066864,0.482077450086095,0.6919448578818138,0.447031615653171,0.6103513932563005,0.8279048466102102,0.5391838310996978,0.5789756451728837,0.6774451587839984,0.6455114237946694,0.596920872059655,0.5572795619391899,0.776258918685352,1.2216967946647899,0.9900920747999087,1.2435454628872609,0.9040735872166815,1.0575225041758995,1.0113975251859149,0.8881114059850469,1.012723619541033,0.9605464574883746,0.8897025042485194,0.8529661961666152,0.8960944802812629,0.7623070553738943,0.7124091979869739,0.7220986404825738,0.755869300757741,0.738139699770526,0.7322723230039561,0.7851795170090952,0.7880115797955495,0.8664444492344548,0.811706661438671,0.849414637979013,1.0038188790215363,1.0395990716010923,0.8893692973729181,1.0974757891591962,1.0237049859324496,1.3308711645096734,1.1355931750137416,0.982687318697053,1.0321810555748936,1.1344629817639529,1.5439988794459896,1.5200073957251095,1.7118528591891278,0.9668990420642002,0.9174953665166061,0.9197303856949521,0.8667605017434581,0.932295742608245,0.8019490744501072,0.8567560981078609,0.9519375478267849,1.1077506331934168,1.014676539883893,1.0615657564578573,1.1921899489444163,1.1337921097219463,1.327615710820004,1.0014695752255915,0.8192160569052114,0.7674556262265638,0.7414192112685154,0.7998967827845771,1.0697371214803453,0.890180267830758,0.8375447253606847,0.8763285972402814,1.0151307471783046,0.8792811417650658,0.8772514028766951,1.0829856706059424,1.1796350490431113,1.0225377149777,1.1075257032780397,1.3068482038389277,1.3250094154467835,1.1459478146560584,1.229767815620127,1.0541646590198108,1.011247346190334,0.891661260677853,0.907716239799825,0.9981658170297588,0.8560719285439514,0.8489599684046166,0.9254171323493083,0.9422267264302581,0.8591719863115094,0.9814892514128323,1.1833702039412255,1.017598009879132,1.043440652259986,1.1596393007762698,1.4777114001441416,1.3181686209459376,1.2664343105149316,1.414814389988948,1.4522443588608016,1.5506856409092926,1.1879708249010041,0.9844201716183626,0.8781410177494114,1.1786826913339667,1.227774272989558,1.3424045449276265,1.3486580391740997,1.0464362842566999,0.8483742029129425,0.7915489341574095,0.6023921183954178,0.7271328213238194,0.8696630122377568,0.9331528217848398,1.3860278436793552,0.9899109901417682,0.7734353601407367,0.6384791902474111,0.7286970202430033,0.5291631899886348,0.9071539420252646,1.1099802022117513,1.175792244782992,2.545831015642606,3.7676936747162],[0.5429883335172795,0.5053371158525214,0.562310048315445,0.4489328431003065,0.5048443581788223,0.4786102627001017,0.46814581108676934,0.5160198123716061,0.45886830856012045,0.39003651445296045,0.40972786188297045,0.5393027722964361,0.39590420870228665,0.37034127246202864,0.47162264434155127,0.41626297991888556,0.42190454310942366,0.4238539962891984,0.5081301783317962,0.470031957265575,0.5120670234228034,0.5813778567547593,0.6735384375201091,0.7621727167672498,0.9878258246293219,0.6351205624782489,0.43818539531193607,0.38458464046828506,0.3908282570630137,0.41256991584130115,0.47902059559548776,0.4919931747872775,0.5562940701228726,0.49186906130051655,0.447859993907796,0.4279680623776136,0.4316603463031971,0.39358803684142546,0.4098178505509096,0.4353597282650139,0.5265484533952697,0.46285699239576805,0.45302472723969706,0.6732355409889221,1.2939401163798623,1.9321316281751282,1.9731096469626763,1.0042677921475622,1.3269004435996539,1.3643899945517177,0.9809108783224656,1.4714688930533395,0.8191150649266931,0.8374637387442972,1.2809646962492527,0.6152682685702501,0.7370028088690005,0.6674076838823734,0.6325739404188576,1.134196726311184,0.8087569240820806,0.5953804684146562,0.5936281980507242,0.6496824181784278,0.6058939826669096,0.5113463856746016,0.7544787159998151,0.5246104330156596,0.7463108676510821,0.6370857072894006,0.8724877877953111,1.0835200635912152,0.8035997172171926,0.8781871848671455,0.5603667454440331,1.1722990616439464,0.4779044325385521,0.5002417752223789,0.4416568206659639,0.5080986447092489,0.48329324789742795,0.5278484115393698,0.9943894289794061,0.5159602569855061,0.5555707021905563,0.43943430361786806,0.4129141967514957,0.5171907511636505,0.4191279818225011,0.5227612698333445,0.4959594997108042,0.7063987428154082,0.6142367199831419,0.515247314330824,0.4940301641538442,0.6033696093422968,0.6088765016294054,0.579546324610613,0.569301259675842,0.7780929657881669,0.5801228105485471,0.7066054686060034,0.5047831766971248,0.618612751035514,0.5856929216621776,0.6132008281429839,0.9112541989799007,0.6649266770937412,0.6721460545811858,0.7855864942638066,0.5466643122166913,0.486256642488377,0.4478227695438993,0.4322945032656984,0.3889552394973782,0.42301092005519914,0.42960031250159086,0.42310777235732605,0.5538570095000184,0.5365933655309392,0.48575340046362026,0.4886614695102736,0.4409006524909206,0.3960703146543303,0.4032056677834029,0.49400549340663896,0.5069146563243324,0.5452470891079362,0.6090927512076715,0.6155180960476967,0.7329972274183806,0.7438515177309944,0.6549794960803138,0.647536722105447,0.6229539118102615,0.7573846902858007,0.8401701346433225,0.5633542205853689,0.5618405439454149,0.5061329858437789,0.517394331408175,0.5872907305891747,0.46966245465603806,0.44090104037038236,0.419318110399691,0.4232981588935381,0.40801944740951074,0.451841651946697,0.4389914082270885,0.4875821616989362,0.6345092629889753,0.6038708650927858,0.8473871632006975,1.2718811155240088,0.9247934399667227,0.667792353527022,0.5374144735742985,0.5630949602475664,0.46801016653224226,0.5346981490156615,0.4649280290065516,0.4314658808980313,0.4764102008293171,0.4491581832350799,0.573019263245527,0.8438813619369189,0.866635741859929,1.3203312726279504,1.4649113595928969,1.297338747055685,0.9565922369040727,0.5065113977211988,0.536767258249177,0.5374795246639751,0.46526491739381,0.5005498423711093,0.48683412701457357,0.7083005180283501,0.4617998499502595,0.6264227141555831,0.8347787341267229,0.5395151369739271,0.5790907422724033,0.6671464847526981,0.6449854346929939,0.6028220707259758,0.5646812311119906,0.7913631356647104,1.194774755001878,0.9666696694070583,1.209531079974555,0.8948519622831363,1.0107363866536743,0.9705491108981129,0.8564054746259944,0.9820083146502543,0.9539660615456387,0.8566885275926193,0.8238961389743525,0.8649368200431791,0.7169544963459983,0.6640797427351113,0.6915093833600323,0.720873770841403,0.6824077091080905,0.6816161629633122,0.7491255946108996,0.7258651883338553,0.7859761636085619,0.7349695187861259,0.7787337555898503,0.907008995403574,0.9496582264168825,0.799699013713407,1.0053922218198623,0.9529629087300632,1.2296848187582299,1.0775450170579068,0.9115424245181349,0.9379169397566276,1.0275370275369102,1.4870131705448448,1.4258521021728838,1.6940094536832737,0.8971037747038928,0.8454335566792514,0.8698627920142662,0.831139435464601,0.8690321751973117,0.7620228901350302,0.8194773320665093,0.903675030846592,1.0684085810314345,0.9643627712082119,1.0328944173582968,1.1217893442782156,1.0776693429872124,1.2854463387255017,0.9642405447110544,0.7928087107892114,0.7252160984070589,0.7100206156605389,0.7899904751545208,1.0435400976598745,0.875309283309378,0.8257807860941174,0.8319163961841085,0.9852867875468057,0.8648757414565614,0.8243401451295799,1.0190994738746617,1.1219108071418804,0.9481257622252659,1.0237692944006107,1.2277570276301084,1.244377071219464,1.0426195716177198,1.1175156914816327,0.9504154797272659,0.9178220981565799,0.813559152217117,0.8221981063800979,0.9032991687957153,0.7762003044637877,0.7751634295857416,0.8369419645529352,0.8597793401227496,0.8073215104521325,0.898911506373,1.0877976059633963,0.9501396278596087,0.970463195045673,1.0500475708391577,1.4066968035475795,1.2451310248489567,1.2241605477611026,1.350586341795318,1.406921592089203,1.492960034948956,1.193737004373568,0.9648017632921388,0.8601826985590036,1.2013080177635025,1.234839941861202,1.333053878814882,1.3369476340369524,1.0178662799499125,0.8424831867194558,0.772647082897444,0.5947356642612475,0.7141216787208896,0.8740883853356983,0.9346266511898554,1.390196253018035,0.9838854214156072,0.7734671300019896,0.6239788584053629,0.7211822900643545,0.5137058547481822,0.894769179730263,1.0753901146704492,1.156824336376295,2.532146440712677,3.7094911323185826],[0.8875545590392009,0.7807898905971581,0.8289080934575679,0.662154550737574,0.685149403142942,0.7930779737780014,0.7480720589626598,0.8262290533143976,0.7355519584404624,0.6505160585613663,0.6655042650857309,0.8168386906710865,0.6605399799920496,0.6003323155558439,0.7254175879517327,0.6820980241484915,0.6502765901886238,0.6648919784881253,0.7097409667057566,0.6780806745009116,0.6747678177823103,0.6875840338303906,0.7518801959467407,0.8175278890924996,1.01742244633035,0.7534508459078789,0.5844284120978017,0.5844638470460245,0.6517774614274143,0.6928538514932212,0.7510051820438944,0.7423790823664479,0.8531425202107817,0.774986748419117,0.7359440502225724,0.6824116552274372,0.6905736222445757,0.6219140858489572,0.6045410974976438,0.6305612297863515,0.6175337977667167,0.5756171919499278,0.5907107921169934,0.7380153289011314,1.251659755337347,1.8760971025104114,1.8679355852576607,1.0063839148010196,1.3307448849088894,1.3420656448081183,1.0146126757558394,1.4528349378848997,0.8192705905437029,0.8842297318295447,1.5064641158970362,0.7446933505910928,0.8107673483337502,0.8409957774923501,0.8422103435147783,1.1592987650042106,0.9263128542050336,0.7781481570099463,0.806683864776751,0.838633985777184,0.7709383704810262,0.7251639811391489,0.9213696955889934,0.7804681160335213,0.9241049964262134,0.8476590162461146,1.0635571369269188,1.2417985210910583,0.9932460725921566,1.0596062397311607,0.8051936057179666,1.322577881104379,0.7346061807417086,0.7695477560627219,0.7209751877958965,0.7384990117694409,0.7373703701639812,0.7256813553034838,1.1303590539465587,0.7742847126823621,0.6903056644612037,0.6575818644871396,0.6307719941377871,0.7865815509174081,0.6739052882227974,0.7549930367606689,0.7597404760887593,0.9255429061419972,0.8649280071755062,0.7895429178519082,0.7671858721795043,0.85969517464448,0.8398122955037457,0.8665344407033643,0.8693198196665152,1.0978177119503971,0.9048236515417398,1.0116753408211951,0.8346563441083032,0.9370176726178684,0.8374409891479867,0.8830914911813745,1.1238276521157042,0.9247505393272816,0.936262053278548,1.046847724956022,0.8176685994193962,0.738563852464261,0.7275564968562211,0.6412788076946705,0.602523891709223,0.5963276085280839,0.5900560399726444,0.5209369594522022,0.6528437710479243,0.7104449983669326,0.6154966317916197,0.6473679148429742,0.5864555198497677,0.5917540793538122,0.6083709016920782,0.677999979582314,0.7293508364857628,0.778324281026936,0.836762157802209,0.857192208297512,0.9093276691655197,0.9455534646934195,0.850034409821701,0.8759568732128792,0.8330005290994653,0.928618338772177,1.0451263020097203,0.6694808554173836,0.6344119833505037,0.6141858732780036,0.5657612786350509,0.6149656104700632,0.5543872414091202,0.5535592326943584,0.5684697860084633,0.6211863885637381,0.6028327699570256,0.6796930361485038,0.721436059704858,0.7746379018188305,0.9519402148359313,0.93126960640762,1.167708272946446,1.4894021521097724,1.1564273418569333,0.9961115712264323,0.8649823947210561,0.8923296084796125,0.7746060186604024,0.819863155349315,0.7168556871727638,0.6786545730799743,0.6288113287207092,0.6236097712028248,0.689166738321518,0.9006987405071566,0.9637159735293853,1.358420532988253,1.5320234631882788,1.3853529719937687,1.0665275723753216,0.6503721613229281,0.7097499117268955,0.7843214480128071,0.7301495974345018,0.7812605500511457,0.7744701514560908,0.9564210925979277,0.7298968191832836,0.8677754943730218,1.087632264959303,0.8058525152220997,0.8070392933696701,0.8729700418746988,0.8197110221033818,0.7966240690977271,0.7543478638915737,0.8998659450836521,1.2511153813530025,0.9509766049004658,1.2095967892130646,0.9949842768622679,1.0753043104267936,1.0515326500998055,0.9637557169461934,1.04306783801647,1.0489235121969502,0.9574529944784013,0.9303825098912472,1.0455984354818022,0.9253419806649853,0.9206807305893092,0.9360327206264409,0.9291992355003906,0.938171644664589,0.9447811635517462,0.9543580108428716,0.9550306452863916,1.0337512400997542,0.973501081380079,0.994206361252214,1.076599775341749,1.1138628802306454,1.0041432029241375,1.1129012542985077,1.1068332167393746,1.31141958443303,1.2092516014568953,1.0789577349692911,1.086800096991094,1.1505949543344625,1.51232550443578,1.6063198978777107,1.9831806697667087,1.1133616453824822,1.0802662658405349,1.0861282526003726,1.0247564371928208,1.0210549801067337,0.9504614767630304,0.9764076692170801,1.0291332155007895,1.1874913597705785,1.0731086329355095,1.137342013138562,1.1718390031449857,1.1486553907825496,1.3647240630733082,1.0719400250264048,0.9642187891639424,0.9021687691055797,0.9347632075870856,1.0260131856461059,1.2955455325736784,1.139099913290615,1.0603380317319664,1.1135830728802139,1.2731443236170537,1.1060136116299029,1.0954908119848026,1.2727014996254837,1.3576362634864045,1.1893192457810164,1.2456232276561847,1.4428293760463358,1.4198037460434545,1.215794497444202,1.2893576775404236,1.1609144316516844,1.1603491393906247,1.0795452762276796,1.0713746555369794,1.1145826874658298,1.0188711797487313,1.0171565092506571,1.0257611157652946,1.0416856926633584,0.9879570348737681,1.0565353472688097,1.1815992966077526,1.0831414863025597,1.0718948539091686,1.135929267495234,1.4511152461280332,1.3117310622717855,1.322990562906586,1.4039151604148585,1.4700354479626654,1.578636350753862,1.3155452237843137,1.1198401610282518,1.0565852123014463,1.3485749214751261,1.3566943735311552,1.4195765064718975,1.427571871215211,1.1426484841500288,0.9965145181082397,0.9456076216296131,0.7954362762534678,0.9338351750472879,1.1309448453894333,1.263816912644141,1.6786464900323774,1.2922987112153113,1.10080532166394,0.8938807954441768,1.0332151561136613,0.7891216323786517,1.2337177054251507,0.9799846948128991,1.4296424541005035,2.6249873837604323,3.750650321918461],[1.004052423048906,0.9293942168378848,1.0021841112620162,0.893978548423924,0.8957065318290401,1.058122134811876,1.0128081465634482,1.0900892279114203,1.0128805467418738,0.9518720461488431,0.9553624917076274,1.090567060589365,0.9674128234617511,0.8877367176188883,1.0003134608355753,0.9682094249931134,0.9542932184124794,0.9811759796353164,0.9628800341729652,0.9829206092788701,0.9639839631411142,0.9772226536680826,0.9724011608406361,0.998659812719244,1.1250509686731345,0.9604930303277901,0.8644664166699819,0.878967445079563,0.9680547812878229,1.0040250508733448,1.0576403198214022,1.040957621105375,1.1449593590633997,1.0783196415130454,1.0472291460644427,0.9989220927923801,0.9993149699656362,0.9339216471663974,0.9139088487474091,0.9327260857093256,0.899401216014524,0.8505121185435608,0.8749937184820052,0.9423497932376356,1.3062974164160552,1.8702820108585048,1.8416018103466871,1.1172002977330315,1.4213243065706735,1.381809903245439,1.165818640284938,1.5038116662719447,0.9603713227510148,1.0556622839503575,1.764319871988587,1.05423651981589,1.0804080526275572,1.1336782352302859,1.1613565542776647,1.3766754187524537,1.1704568841968221,1.055831254388015,1.081122291455543,1.1114303663631906,1.0260928168997503,1.03071883166371,1.195256226445382,1.0832083451928782,1.1728672704203031,1.1311911576389553,1.316378675404393,1.440373745816964,1.2657025314886559,1.301598581966548,1.081542753475025,1.5693256404861564,1.039424189644383,1.0785123940654506,1.0406341408787252,1.0593784642995274,1.0438545914251791,1.0164883413334764,1.3183514765782924,1.097579183477463,0.9356752512661065,0.9616648260490571,0.9342374407467352,1.0785549480233616,1.0020044708468507,1.0748263139783292,1.0640251641224032,1.202474762291684,1.1442815109899342,1.0761273352629643,1.051359814996151,1.130026071976318,1.0985229362538806,1.1395940824484017,1.1382695522972655,1.3327492427948893,1.1679179980421588,1.2494814503311178,1.1130346163343101,1.1907186984590208,1.1136381822553163,1.1375295705281208,1.2962687635105683,1.1508514450870864,1.1568058857297048,1.2471058442475302,1.063025036796538,1.0037185403743984,0.9999636227642521,0.9133520550812987,0.8927943972580636,0.8648469036423686,0.8502778046556879,0.767871586519237,0.8539489845772373,1.000024785386794,0.8722945699870186,0.9271759000261154,0.8313190468838999,0.8804871641141744,0.8950651900998762,0.9208245715580877,0.9717693228164807,1.022219742502535,1.0465040676548916,1.08399076547729,1.074047667003734,1.1277621868384515,1.0575958441205466,1.1104465926067764,1.076865891837266,1.1296610801380862,1.2909824236078022,0.8782342561763072,0.8192211584638426,0.8441674819602359,0.7755189520292495,0.7975994251173412,0.783252491984636,0.8077395638081578,0.8486721263285287,0.9155470783665618,0.8967859687501495,0.9814955488295043,1.017128094800759,1.0563515932311685,1.2088316018088083,1.1811129469932082,1.3957478721868073,1.6618976346950072,1.3538122818415816,1.2429953672433758,1.1399469524805066,1.1616548796781871,1.073207635878593,1.0952355943556493,1.0111026383472352,0.9813058912705704,0.9009041678976474,0.9022754376526808,0.9102419174673526,1.0716309029055413,1.1411826849208986,1.4605367910909002,1.63188842383275,1.527570122056379,1.2336285520858876,0.897406888451102,0.9737492937989681,1.0688363144986908,1.028093021921265,1.0736627809773334,1.0694269797737463,1.223661741947268,1.0258579618849617,1.1239786584429523,1.3595403828105859,1.0844851936182223,1.0702663781150843,1.1126452052642226,1.0803126484095886,1.0999431996403242,1.0380160025151077,1.1431964532795467,1.3984086868779324,1.0769482279727192,1.3250212546151283,1.1955963444700997,1.2190032167724683,1.1901515637508406,1.106233757071454,1.1064409408682707,1.1394171913616686,1.053737980418079,1.012019054639282,1.1637659937792602,1.0564550760323084,1.0731387064172149,1.080161032233595,1.0492006904431004,1.0896765721937294,1.0973007033345725,1.050871024124643,1.07222060625259,1.1632832535910405,1.1005408845625082,1.107039865986841,1.169236943556354,1.1904306571995282,1.121423187915126,1.1963099316207937,1.1932938771258221,1.3626961055936846,1.2475407187614653,1.1510959842060302,1.1561259359289175,1.2059311956546144,1.6404683117662326,1.6377213159940716,2.1016503482787283,1.2234519472450411,1.224892006132145,1.2344981412869194,1.183984692716797,1.1234701358053618,1.0569330798937366,1.0903667725993587,1.1014204425042367,1.2282318557368752,1.1196435758265286,1.1963857888898046,1.1665200618442362,1.1678101481168581,1.377440347340601,1.12005850862242,1.101978635767204,1.0602133648169239,1.0946810490718004,1.207192728446796,1.4301744456405752,1.3358259367629395,1.2344774236477203,1.291250097810926,1.473965264846009,1.281837780595661,1.2662123366491054,1.4279059049351854,1.5045110984921164,1.327613699897352,1.3651737211950439,1.5449764128613157,1.5137047204209055,1.2945626495601676,1.3655385550239911,1.2509413701881866,1.2695176592383413,1.2229555517042054,1.207332641754247,1.2172049641521054,1.138469965959916,1.134138765989951,1.1129365957519688,1.1225221274449009,1.0790894596966658,1.1284441250404895,1.2123280069212856,1.139018698914863,1.1149619084287434,1.153177341379489,1.4362495836301605,1.3222033536428828,1.3401080714022018,1.3788823267323267,1.45158607995459,1.6066189862137568,1.335337956206276,1.1720827065503574,1.132860255949662,1.3622705594950848,1.3614011234707764,1.4042303825151203,1.4211417900013328,1.1681954606126193,1.0858996799817608,1.0625193493969995,0.9939903115559605,1.0622733579491506,1.3016539244240406,1.4644647493987046,1.8737173802245528,1.4828781045796882,1.3229961625763256,1.1366493381270282,1.25293738032787,1.0344556303980301,1.5020349188345397,1.0456894964951053,1.617953107795984,2.562554551934447,3.602459262632397],[1.2122313042911796,1.1256922026494955,1.1891217211678549,0.9030221773002096,0.9505151698395835,1.0507353374833377,0.9833915382565679,1.0743726123950013,0.9640238142198796,0.8823900125514318,0.9354588588879216,1.089103283930201,0.9267068763608967,0.8579205660114997,1.0201022810991864,0.9514752790485451,0.918845268695562,0.9265720956768743,0.9148559491675085,0.9066288266409731,0.9143078976945428,0.9146833559182295,0.903642453128819,0.9741233423418222,1.088378678084021,0.9114852087897307,0.7800605921669403,0.7923249806215816,0.8998542698836038,0.97104630405141,1.0590835564573315,1.0558354664839928,1.1775796450296188,1.1094248527240818,1.0418734462066934,0.9830745934161889,0.9811086117744424,0.8643831691099194,0.8367556455543312,0.8635028510563195,0.8348058247971535,0.7966914677333979,0.822506831581841,0.9511972367953542,1.3103280311298962,1.8992420921435895,1.8613717777349992,1.1588061950124797,1.4904120820332665,1.4356117934750658,1.167879871933232,1.4315071159507387,0.960001232220445,0.977399056645266,1.5846538479136718,0.9875737155394,1.1247947492500046,0.974443360949725,1.10245801884304,1.401822767965852,1.165551553532539,1.0367801256468132,1.042056258881836,1.0350887632872083,0.9244672412291856,0.9643743337287296,1.11425241431635,1.0226564230119322,1.141723287930953,1.09927281481276,1.2766825089640634,1.440673172881973,1.2488582901505796,1.2821538426168482,1.0653261858988519,1.6290599611078809,1.0035883154297573,1.063320243646536,1.0150491807332764,1.0434897065650277,1.017121321353772,0.9530937751575093,1.2604630896890234,1.06739677579015,0.9116823424243337,0.9291180571566631,0.897662350883331,1.0506345987221066,0.9729517110202194,1.0800112027248578,1.0610308991651485,1.2549264850826665,1.1855104500143057,1.1370520162409605,1.0911830500368702,1.1942334127273728,1.1500177171709478,1.1637919225412798,1.1579653306145974,1.3958862642588108,1.1926651852644454,1.314417091799257,1.123623873109119,1.233035649346421,1.1353413975323499,1.204014141178882,1.4296905995593854,1.2707616275511866,1.2702904828700199,1.3428998681917705,1.131112252567227,0.9964657487852759,0.9626361450905814,0.8819473673196081,0.8266332132806968,0.7737371835386483,0.7842857716612807,0.7285039081533201,0.7884656193609625,0.9440785291862097,0.8115856617908961,0.8693711360296253,0.7530189596853378,0.7892056729357848,0.8236283224126415,0.8805211199584968,0.9616297249204934,1.0276060672394929,1.1364368937193423,1.1678965516039486,1.2403070278948887,1.2837755950681355,1.1790088620989707,1.195273826472679,1.1399680230211078,1.2111967938697248,1.22364977304798,0.9165303107821242,0.8619774583904796,0.8242400871527751,0.7674167853761055,0.8114155904326367,0.7509883393785992,0.7540822445160595,0.7840955706489675,0.8417827777257608,0.8242518934137564,0.89437772937498,0.973486275195088,1.0225973078654944,1.2224140557820236,1.2124738152652954,1.495921935371118,1.7124441912874167,1.4109561488998645,1.2816127902950214,1.1528016537251287,1.1817178271933249,1.0571634119012907,1.0831975638245877,0.9493427991347976,0.9073148164047509,0.8659654339758418,0.8665750034984918,0.8745662843818485,1.0904057448771656,1.195080725103253,1.5506505932933585,1.7682453852313633,1.5954376808981614,1.329611595026321,0.897874313886366,0.9113416628958074,1.0415099856794017,0.9895214854124891,1.0492431264662887,1.0304098412836233,1.19924340838008,0.9798080833831657,1.157766189911534,1.3353860190539752,1.098181206181618,1.1186737312924449,1.155677869053708,1.120242937059386,1.0720565684458316,0.9641725482093247,1.0749027927009474,1.4377522074251619,1.105611757599675,1.3358635896961215,1.234607050967687,1.3010138493046717,1.3109035096502482,1.2917375387481642,1.3655263883300837,1.360663926821254,1.3383618531750079,1.325474716614337,1.403177497147085,1.351035199564023,1.3150257313520384,1.3027339280003831,1.3603917465381143,1.4008870729914231,1.356921939207874,1.3670211301721031,1.4418437739456953,1.476267545417507,1.4004750752653654,1.4786124473882287,1.5463017925646843,1.5055866754463552,1.4695911066258809,1.5980523436113538,1.6270521158787026,1.736018477699294,1.7396859887023386,1.5839048487625977,1.600665128984298,1.6574931387368865,1.8533672197709097,2.140939666162793,2.4608688784017807,1.6103411306080782,1.5595268024372766,1.5474133976932254,1.5146084709618655,1.5212939439031887,1.4389272377218993,1.436914861760053,1.4866287110163672,1.60831281581557,1.4970250743558098,1.5342176999333264,1.5519792600240465,1.553527993433448,1.632374465390812,1.4541674939557292,1.370443062042832,1.3365244285757925,1.3708420624962303,1.417251166666714,1.6490799674651497,1.5048074514406813,1.4454521093939907,1.5383008178894293,1.6378833022482573,1.4192634810941693,1.4854613743294978,1.6277537772990445,1.6636232000667526,1.548371642601402,1.632825073204588,1.7806614417411066,1.7379609120873107,1.6183351904507028,1.701194876650334,1.612904669692271,1.6079427961641384,1.5298085778258956,1.5472487971495432,1.6017416598018794,1.5166875010295886,1.507397303514535,1.538130046148825,1.5523332715305667,1.4806605589912776,1.5700287735576488,1.6519938423915157,1.5888605412936396,1.5370195028361369,1.617746272871208,1.9212850107805253,1.7814015707028426,1.7800891338607387,1.88261297904277,1.9293757590053715,2.115501574955975,1.7921160788068469,1.5951403690390527,1.494089217382978,1.7587018823424128,1.734009323209209,1.7975212902617088,1.7705859719905168,1.5252062534652489,1.3474919589529375,1.3017852830675676,1.1057656921493093,1.2683563230912123,1.4191343117940531,1.5825614138334176,1.8447964935794927,1.5688473080233234,1.4563719526649093,1.1962046940745634,1.3004069527212958,1.1107874290044826,1.5635107356919065,1.2138745650565745,1.8778068826858656,3.1183448680009582,4.152295402462718],[2.247844901666175,2.2839505371304045,2.30789735538644,2.3684726613791645,2.4008746445228133,2.4997442092784135,2.5280470740123615,2.546374700484368,2.5250961223712554,2.5384792772150298,2.53440099322535,2.536971440297051,2.5455122805379373,2.5175579167794253,2.568446589032047,2.521739905734376,2.590747344439367,2.6251362072079423,2.618841279245003,2.6300974773142833,2.6181120141660488,2.5771388722020943,2.5435250645982377,2.6032857515313816,2.6782583154916764,2.6244378165093734,2.5567807804799854,2.561725163312129,2.616987367866506,2.5963019749545992,2.6041360051281983,2.5060749456280984,2.5537028175297563,2.5546505030614632,2.551344176647147,2.598300133149482,2.5422690929276235,2.5464264166694863,2.5237395847866306,2.500582553133466,2.462183435425897,2.5124128141166677,2.542412675172125,2.659861024848057,2.7871661127331517,3.0889550529841188,3.054286911095746,2.7381373919642673,2.888592566082536,2.9175352395590597,2.7411706332394528,2.7298419090194335,2.4403010447804787,2.5614222400661486,2.882618914549076,2.5854359126759907,2.689188971992466,2.5786779877254773,2.6847072314270246,2.888316924705535,2.8833565601989912,2.6908250249101853,2.6276449827596586,2.5532189676343378,2.63089180219012,2.62385124466496,2.7328371478166362,2.6780075890253228,2.7700300396059663,2.6909096247085524,2.8249741470233443,2.8500567451962153,2.73907118155385,2.7750154808306626,2.595247500661105,2.7871527600445734,2.574033801263461,2.5744144086195337,2.5808858944575377,2.6493065188618794,2.5655965861464436,2.4538155315166765,2.568594301859135,2.61322418222465,2.464791040065313,2.5084510153791304,2.519617327386209,2.5754783636403964,2.5930763445279053,2.576082257787324,2.5897758824493535,2.6667634361446546,2.587898798349249,2.5131685606497247,2.531587529214332,2.5695099583705336,2.5792252283482577,2.544335416982475,2.5243022645941897,2.574237318982924,2.56617554405416,2.528318005883661,2.524485510711721,2.5524773485267835,2.409676178983802,2.4991259525508185,2.5047995072216143,2.4006869727297833,2.3862365750672154,2.523636202431629,2.4455977636767208,2.460219046341483,2.5067473731826793,2.499619922410709,2.5212278904678316,2.489650658171064,2.5070247389792533,2.460806438925191,2.441813310982278,2.6605787534385534,2.525980543334969,2.5820293972415005,2.467735327319499,2.527697710021676,2.515501568593704,2.499670158047654,2.4444238552605997,2.4927923174575017,2.4669642392828535,2.4703293162741633,2.4302013314731963,2.390922163454003,2.4116950784146454,2.4613570136229255,2.477709092814691,2.5626775601170637,2.4702637115163237,2.407635956440846,2.4401925017631965,2.490101168395653,2.485655557764948,2.4732432650546836,2.4252638259921753,2.45569864197524,2.492316894572009,2.5456189858671756,2.5301285110830314,2.5699422331705235,2.555500349551956,2.58249157757385,2.5964269030695406,2.5444188558177054,2.610566189268818,2.601022092385659,2.51474277550424,2.5065827611573197,2.5587811723276714,2.551329075459737,2.5559672955645945,2.533898307542754,2.5005707974435,2.5272788132122272,2.5225263258063,2.527191996774273,2.348096060619177,2.5425016004330376,2.5933019418809193,2.813253215060935,2.950998390457419,2.863250231523466,2.6678841024633027,2.426037006874588,2.367521691493133,2.5344452514392883,2.5372496982347963,2.5128057764181437,2.5600440217670264,2.5662265874581514,2.5047918598338503,2.5604720986417626,2.7614098129498537,2.5017519774192714,2.4823654948318867,2.5283343580246855,2.5317785787712865,2.6253352398594756,2.5696623611943976,2.634752150878444,2.9921799542621765,2.669462935033777,2.566276384930474,2.5234351805509188,2.536314672257939,2.520148249569854,2.454903532582253,2.417229123567425,2.449402894552438,2.324608951466458,2.2470204846556205,2.3278566452008813,2.086024210750179,2.0726040029031463,2.220004527519523,2.138173671961533,1.9840707770743922,2.06110711358296,2.199367906600241,2.00968136941156,1.8794747689009375,2.0524913891118306,2.0276278911961145,1.8459846970198293,1.9018901696049244,2.0861381929188423,1.9268308751210899,2.058200999000483,1.8589628372313765,2.0515857313124233,1.923709168023938,1.7704491951602779,1.7833103171788518,1.8744522554532617,2.218029750675359,2.5470712346424125,1.8234042596425368,1.7961740042289478,1.9191163341619941,1.8746110679147505,1.8165089786501545,1.9376455933116195,1.9673877874155485,1.9593732123654233,2.105777081595897,2.106265867576479,2.1708684837250862,2.124450775725084,2.1570936659476216,2.3390975276176214,2.149018211844775,2.1990743611483086,2.0512013425790836,1.9499996787811722,1.9622689625400607,1.9783705251727972,1.9866766423234137,2.038870062765411,1.899822912781648,1.9692497422691475,1.9549125073485183,1.9265959691014007,1.893536567063178,1.9629404012977603,1.9388471852302938,1.7986760291387094,1.860924100596022,1.8997336313027233,1.7363211119428912,1.6981383721212393,1.7169230720146604,1.7223801748946765,1.7941206323431276,1.7554660614471613,1.730236623543434,1.849868770559454,1.8720989309135037,1.8014890110362636,1.8507163321843676,1.989303749637134,1.935478104598494,1.9579405254542204,2.069837597489361,2.1186174316877415,2.0171943223357247,2.2425886994632602,2.2537845674537427,2.3441049434849597,2.3057294016795242,2.444167594631939,2.399437856235617,2.3778829738321763,2.239864408456104,2.33415579593209,2.5828520274491433,2.558122370146974,2.5276362481618837,2.563791911021562,2.288780710446643,2.3909919103560036,2.3413310638658142,2.3544633415988376,2.3195540920585005,2.1598072089614737,2.130715507778664,2.2284154763787067,2.597606252923296,2.16397372295085,1.9949141174963254,2.5399852974290695,2.257666093843927,2.0560296538860796,1.887499724157329,2.6638813034398803,3.9114292211083024,4.79297982132179],[1.4807329713171349,1.4561378689862898,1.4757785825575365,1.2922774368589713,1.3690803492750208,1.4253628312979452,1.3850754358493336,1.4411137936510012,1.321620177971589,1.2502310015123075,1.2553369892628314,1.3578246971163608,1.2838972358768492,1.190857278974614,1.2881430985491475,1.2633600613882277,1.2898953564159952,1.280725198393878,1.257446479944385,1.286011638893758,1.2527403404526654,1.2456023823370095,1.2455475898759258,1.3106575368824998,1.4863174759834736,1.3006992621010487,1.2138984970194702,1.2159669698675637,1.298293176466393,1.3346337201234288,1.3260350704154598,1.3260763230433628,1.4146089535753483,1.3670048867541398,1.3386200414944227,1.3244559701569154,1.337700473527924,1.2666807028614702,1.2371540520161002,1.2715388979317133,1.228417470199202,1.19806319342999,1.2374971141465656,1.376735295235999,1.6734093756280544,2.205155510739594,2.197373149978289,1.53410037574986,1.856010329617017,1.7964820511844648,1.5478557933124988,1.7507986570815017,1.303258733790134,1.386116120867413,1.831238054379006,1.3547544770683257,1.4917439339274134,1.3552715063380636,1.449211246263802,1.7103641421476043,1.6026369805858562,1.4027168583124712,1.3588896157404264,1.2923292286120547,1.3039203118294418,1.3024693246949115,1.420503956063727,1.3299755725652687,1.4438530345051812,1.3601835316257498,1.5199398457166586,1.6156757160615638,1.4534802797241553,1.485739300956303,1.3134456334217162,1.7071079044067756,1.2893684346850791,1.3371425903227516,1.3289498668592796,1.3840948518854534,1.354231169529394,1.2841804488303743,1.57861918283567,1.463958544444672,1.320625716804622,1.3202357878714184,1.2710187090345493,1.3956169963569645,1.3138107406928314,1.361669763019515,1.341308687900263,1.4566617011430587,1.377095327548843,1.3279551587324365,1.3111818548353484,1.379121732861082,1.3582955794416764,1.3950699032849168,1.4009380066357695,1.6066737434270157,1.4804217170468603,1.5672133122696437,1.4582511958654647,1.5565732488895059,1.4565375518267603,1.5538644631199159,1.7619635698177625,1.5970496928114077,1.592848580412751,1.6620873777488911,1.4990351281180267,1.39657287882672,1.3588702551949343,1.2913215484872658,1.2230176616750352,1.1937230766131866,1.1776433810796487,1.113788063173611,1.111734774675241,1.3166667228708213,1.1781025988554352,1.2249740690298334,1.1452776359260186,1.1976223602722655,1.2327844433311312,1.303946728867091,1.368184938364591,1.4378592789119842,1.4947728184346272,1.4984083712253722,1.5401764039096801,1.5536915335317147,1.4851481837924827,1.506504747060389,1.4693568856541646,1.504411243250332,1.5066593119554623,1.2926204399522054,1.2428609153924277,1.2518481333866116,1.1581804930080728,1.149785400465986,1.109922534255757,1.1630460871911212,1.2034500241840485,1.250143575209769,1.2473465800644765,1.324521616133637,1.3750393064795643,1.4104657944633832,1.5410610338347623,1.4949876886392248,1.7012930313912769,1.8434225444445642,1.6183548284907323,1.5334282236314296,1.4559717153348226,1.5048680966271626,1.4021682613017006,1.462556384749397,1.3490478308357556,1.3155504849163813,1.2989845604293975,1.3262507925207045,1.281401516303605,1.4724963396098938,1.5729397855047207,1.9063202755243354,2.0875700285593957,1.908526491725352,1.6709330745020046,1.2874196630198442,1.2744027823947839,1.398203984662924,1.394266808978413,1.4220361578032812,1.4170956890264879,1.5373352421618405,1.3816622164540349,1.513451513518083,1.6758486825240035,1.4675050167116417,1.4821070210669944,1.5233861138600011,1.4791116203275898,1.482296218298997,1.3815301231344945,1.509421687625458,1.776208596091581,1.609705958708144,1.6779881840795094,1.499424211146788,1.6214188468357573,1.6307401150968905,1.5948701227349638,1.6692039325894998,1.6590249688316625,1.623424467367107,1.5895355732455552,1.6282390074629238,1.5265774097202545,1.5165771196240134,1.5433570932060432,1.5447618501564981,1.5232574502612304,1.5248898982297738,1.5719351144095626,1.5448907334809905,1.5446625931290392,1.5311949190518728,1.5659015180409241,1.5411339858796094,1.5696983223091063,1.5824369107970526,1.5927382933331016,1.6815402669403243,1.6622358940891062,1.7148685815262978,1.595132999723429,1.5456088836586952,1.588680163530938,1.7799851681488672,2.01500906618243,2.1887874658956856,1.5675093206747042,1.5415282662696583,1.6450632162550602,1.5929635213967968,1.5797115684775358,1.5883039486591433,1.615638742392683,1.6380077787955898,1.7683548106186682,1.6722552740538492,1.6578397436713672,1.7287705494307324,1.6557118429102953,1.7126316022861754,1.5807786573771752,1.5695389449197026,1.566736787910718,1.5658913652554036,1.6043244647715467,1.7465837970830664,1.656730213686071,1.6445801698078337,1.6333779471813736,1.6954566305125156,1.63596528283184,1.5911079876040077,1.6944216828961154,1.753944364163401,1.6440581060984114,1.6789844428373748,1.8165857029199652,1.7819240697638388,1.6353501884123454,1.6710867990606413,1.5918382514983607,1.5923451073146055,1.5615732542646061,1.543489850053591,1.5580920183201878,1.540626545810568,1.5519998754706998,1.5382153009366317,1.5530999340609448,1.5561809484191884,1.5823939921182792,1.6437908323654402,1.6493775687635681,1.657276479666486,1.6631310804987085,1.9357667859832774,1.8430897411045584,1.8610515760554447,1.9428849015217913,2.029595264359535,2.0761324766462605,1.9105203330108447,1.7262479272350966,1.6980555003999023,1.9820635917280922,1.9449999325557035,1.9773453310374436,1.9451165363932335,1.6770153627688493,1.6335551510479536,1.5859222846759884,1.4478829309496002,1.5453283668653863,1.5463411092490076,1.6187091819454344,1.7601850274979862,1.817302713829944,1.57170228454415,1.4632020540056527,1.6319588963531455,1.4529523406073903,1.5413092938193949,1.8188686434259616,2.461898610588225,4.005760110407512,5.081473988225133],[1.588446260934806,1.5800919105852433,1.5716744373577725,1.4451792249153828,1.5027718983365341,1.4986820742577036,1.4824010766533795,1.5240656703120203,1.434397072847012,1.3855380976234197,1.4132009603376046,1.450834466234764,1.418105581806927,1.3797901340141339,1.4419719272418579,1.3997813782734534,1.4301582912802129,1.397013145058208,1.4006781512933868,1.4194694016419147,1.4281765786621181,1.4385031455457638,1.4576402465464664,1.5288128561178278,1.6654193907803567,1.468377925992207,1.4094957794300225,1.3862835601919452,1.4199492417992285,1.4554321567904838,1.4192569615647799,1.4466523365399173,1.4828279342111128,1.4806124566215866,1.4557554561009975,1.4597355652968769,1.4676648252452864,1.432499396068268,1.397180740764512,1.4244658839038398,1.45055365219879,1.4254747199786564,1.4427315334278887,1.6068622656606664,1.9852999442243382,2.5136054897581204,2.4933576114234497,1.782608769466909,2.0880422421845157,1.9888747860946094,1.74694717168174,2.0034570559873184,1.641036341170337,1.64297058595808,1.8162049868208867,1.4967372580274512,1.6336345111236428,1.4945966518009366,1.5587606014875817,1.7689341054294256,1.7124234296526857,1.585941270681833,1.495912604370972,1.453778720010571,1.469108639026961,1.4327598114842166,1.4957076567919678,1.4119616496082028,1.4990053484699433,1.405786838992415,1.5622939532773652,1.673118441701486,1.4237360713775722,1.4405744419348394,1.408924667530122,1.7749499968336166,1.3913618272967203,1.4494771899066363,1.4439426251038208,1.5033536885901397,1.4822303673328996,1.428364009216147,1.7271866568829157,1.5650789948330355,1.5330729437824366,1.4839270343772535,1.45550011614709,1.4995235415481352,1.4443512837103696,1.4674050214355583,1.4460486380753874,1.533402376665553,1.4341431925511259,1.4339921329703422,1.4213684578840937,1.4489146374426973,1.4759446659736122,1.4537764216772644,1.4688445823754206,1.587185175371803,1.5327782468514342,1.6159013411325058,1.5346609990903186,1.6143819564127064,1.5634887249868055,1.6371357787352683,1.8960681761239073,1.6911466363799013,1.6839189340060108,1.7386878031674826,1.6178295332144865,1.5285863128315442,1.4677582532456874,1.427378721967779,1.3908964826568015,1.3544684066905968,1.3805074670812634,1.348461887671554,1.3326039679166608,1.4352234565674629,1.369831784740377,1.36840420885261,1.2903005454786463,1.3243937167486248,1.3659369751885144,1.4175642075895865,1.5006232735477147,1.5129054287984678,1.5744806992483775,1.576637675736825,1.63339346048031,1.6409087025190887,1.5764685241118057,1.605694409760973,1.5191501030124548,1.529779221302429,1.46791904340624,1.4691218027894861,1.4869035465218547,1.445490002607575,1.4088322161760325,1.4207105903033468,1.3505671156228451,1.384567065610859,1.3964749048877678,1.4059455230555258,1.398512978450659,1.4576385688339835,1.478899508912463,1.4946185703321386,1.571433578340335,1.536257759964865,1.6892446764975173,1.8823097803161355,1.6563164948033215,1.5491448653545392,1.5076901133556493,1.561904224765302,1.4911060444929278,1.5389592123574827,1.4507237770534955,1.427017089350079,1.4536053522609382,1.4795184189479484,1.446437433179343,1.6077070131974887,1.6224001778140147,1.901370044777825,2.0655602230386805,1.871815150812966,1.705654173352078,1.4193206362098598,1.3981890496666012,1.4579977435342937,1.4802998079743337,1.511657898321822,1.5064729959571905,1.587506795251597,1.4948433817672218,1.601337696804075,1.6186005925375846,1.5341296029562594,1.5688412169342398,1.5841724099331964,1.5644859138494949,1.5527156682369976,1.4626278500355594,1.6063471736679085,1.895058983677808,1.8295944709198286,1.8325178318533444,1.5781978666377035,1.6973687065003342,1.7094276095459444,1.695555479768474,1.7914784748629038,1.7571583915744282,1.7707647248293017,1.7421522837073156,1.714152994491991,1.6542659905829435,1.6443552392561214,1.6507088761132016,1.6688033642464268,1.6547078243843112,1.6450748455866613,1.6928972039979289,1.6793654009297811,1.6763910546924112,1.6447913569457855,1.6973494593750384,1.7000253457870633,1.7040086832971448,1.6983577039242985,1.7522529798379638,1.8269956159047207,1.8343293497580584,1.8568658288496431,1.7646333564410615,1.7338642392672654,1.755453921510383,1.8174391577191555,2.13892506163837,2.3031283695313873,1.7493553557325525,1.7067401832048943,1.803911679603794,1.7660767184108148,1.7778398715158095,1.7733949041166481,1.8051055161400187,1.8377121907559513,1.9557525371271034,1.8412922889310641,1.808634651492477,1.9358025433943615,1.7889979484270688,1.768893260852101,1.7018455789828746,1.6860815409944139,1.7256588887099404,1.7235730782134187,1.7451286585074137,1.869826181397029,1.754319491553287,1.7636012608850595,1.7442191344986,1.7627108259988273,1.759416153709236,1.701591463787605,1.7889915079959902,1.8309037372926285,1.7474515000082986,1.8104630048334622,1.9290047818524019,1.9053054770396538,1.7925152691419335,1.8413225191552336,1.7627606684510582,1.7579136412965193,1.7044199499559864,1.693945222473793,1.723714894435163,1.6926297471758518,1.700011577256076,1.7168801900466144,1.7285333491351222,1.7118019829845055,1.7508709449706594,1.8299000824034506,1.7925774522447302,1.7968781297803693,1.829859112840562,2.053631853425537,1.964799849277615,1.9626509570847313,2.079089598462017,2.138709693951814,2.1490788918514356,2.0176466571161837,1.8515025115397705,1.80476099247191,2.062393458473926,2.0176116775714843,2.0537353232168867,2.019409552433489,1.7832170225631494,1.7303810867216127,1.6897303547434523,1.5436222872046395,1.6358599905529898,1.5836277096787728,1.6352258012691276,1.6973398170471155,1.7793109388052752,1.6254577736049354,1.657145895347426,1.7221883586106124,1.6443003679259869,1.625064522078283,2.3735310149796858,3.0026042801295967,4.733114537121749,5.898356608076336],[1.1910731688706673,1.0635485843855783,1.0997378219740879,0.8678044971117861,0.9151024306547768,1.0637770916840605,1.0145662245138913,1.079422118915442,1.0529472299244993,0.9584491766540483,0.9965991168400975,1.1228131270698687,0.9819633007152762,0.9301149004310816,1.0363583984291296,0.9855941755622415,0.9403645334089349,0.9039495721836731,0.8725894220528801,0.878179814545291,0.9101930849174955,0.982941586538826,0.9025585157023142,0.9744459872773297,1.0945275869269024,0.8680193848878692,0.8276893161790692,0.8292548038323342,0.906452926778517,0.9663310258219152,1.0506525268389246,1.048543050504254,1.139476600553733,1.090362945165634,1.0446240897304897,0.9854574281445356,0.9774088658174995,0.9228476015744037,0.8712687932409584,0.8446924161150929,0.8629782785947694,0.8221791713327047,0.8593890575518909,0.9305373491726371,1.416204795092196,2.0233857525155314,2.0213810615400614,1.1424611212073885,1.4532665016581647,1.408290226662307,1.1228974149487958,1.5059631983958526,0.9805911256270505,0.9530574217887905,1.3590494940393425,0.9554892948842768,1.1219132371199299,0.9983786539752174,1.0625855937450708,1.3912466661222136,1.1367655790938844,0.9879239541194423,1.00562808786543,1.007301257236483,0.9638765388525369,0.9189026154648654,1.0513481948288137,0.951668561230748,1.0786182009862402,1.0122381986617746,1.116009172284031,1.3350768276821552,1.147176275826242,1.1702827140581282,1.0169669970523554,1.5416880382657137,0.9619577654710054,1.0360984654516263,0.9778489642824164,1.0312078096573318,1.001390059282919,0.9464731737320703,1.2936636822239054,1.0252839083864382,0.9115153154282484,0.9424557209540726,0.9267558489788302,1.0192834043968362,0.9675036584253074,1.0733837731158697,1.0489566695343815,1.2405415018211419,1.1461503553020747,1.1253575823674502,1.0890454203946125,1.1752890419329178,1.170012015894714,1.1410723309285746,1.1377850937548448,1.3268321163183894,1.1442129005970587,1.1753368258129633,1.0718639671608376,1.1341118753516473,1.066236961947974,1.1040433824805735,1.3302817078074516,1.1426815791463092,1.1564131596519458,1.2183514889593763,1.07412794254796,0.9704239943879283,0.955153716296821,0.8727204475919146,0.8603450695766017,0.8147018045538905,0.8463064828616755,0.7669852889611218,0.8243940973590078,0.9511868004531252,0.8884371873680719,0.8938254753757555,0.7680831873770768,0.7984609596708583,0.8481150177242059,0.8780901785368425,0.9273622285524392,0.9734956301293138,1.040154025179994,1.0450300053712906,1.0917251454263688,1.1054080661363765,1.0573071577860047,1.0280932023938354,1.0201646916681768,1.0896508337309956,1.1674815332605555,0.8611318956604956,0.8463715038681201,0.8531370683145911,0.7857880904662624,0.833254951882446,0.755148509933432,0.8169947474329332,0.8423323937081189,0.8796920125411394,0.8596985009890503,0.9342781875354929,0.9610901490495503,1.010848209989478,1.1284534225813436,1.1606733555639983,1.3233956145866823,1.5973215954394104,1.394775577059484,1.242485669726515,1.1229787721545117,1.096355463901594,1.001806350812713,1.0120436337342322,0.9498336580860404,0.9182187516681585,0.8952204619791806,0.903383008051554,0.9087151071966939,1.1551069589371787,1.1689415746058873,1.5833190690060117,1.7492023947221822,1.5617493339798378,1.2507020361404322,0.8649677478788094,0.9124387615833731,0.9901977550788149,0.9691621507057555,1.019731011472667,1.0262066289311185,1.1475320428609668,0.9970030841481284,1.0775719597781799,1.2305947953685157,1.0120054931628066,0.995437728409663,1.0656392428967425,1.0436506621770494,1.0132246973986287,0.9169165551770437,1.1339185685752995,1.4371688922840333,1.2814802452358165,1.3951079243755768,1.1412112614819963,1.258433611895633,1.2430436959506708,1.1760881895638067,1.267424968986636,1.25640261372913,1.21202512364143,1.1775798108519713,1.1980938488174897,1.1341538184829154,1.147449829421429,1.1330057041731658,1.1313697335114001,1.1560723537356148,1.159334046630464,1.1681933037264371,1.1714415612249875,1.2708850298190448,1.1929706612157889,1.2124447388147694,1.288523780154399,1.3615711015921257,1.2348879682529823,1.305770494733121,1.329666477071627,1.4839157062126938,1.4174524136406506,1.3116601396972671,1.3140257485244622,1.3364303560294002,1.5656182059981847,1.814629769177766,2.0438105396957784,1.3285578818850008,1.2871580497685122,1.3320848405558539,1.2546085880661462,1.2818330658393675,1.2279918315548717,1.2530219095619508,1.323407162824664,1.4766808039127681,1.3256237513520461,1.2805351654414074,1.4654700841318626,1.3379359728053568,1.4243015898270466,1.2138683521745581,1.1739220191668025,1.1646099458838977,1.2141392843601064,1.293118935635831,1.545863722766867,1.349608017280003,1.2890299933205847,1.3432598653657497,1.4644090720655616,1.3852052587431092,1.317329213258885,1.495487028356254,1.578470883516848,1.4220386188271612,1.510712734797349,1.702921065410455,1.7022075045876552,1.4939590287927103,1.5758788696181099,1.4352001334280444,1.4322362883936204,1.3273515554792037,1.3066718505912676,1.3408291014185383,1.256243084457463,1.2483592162634447,1.2756469084353397,1.2847815409983498,1.2135544988974434,1.3017631257787998,1.4089417182181092,1.3217612441519746,1.304356460689575,1.3693175648538152,1.66234912682451,1.5469284376140318,1.5574824759465706,1.702924381504022,1.7862921203428783,1.7867383032383732,1.5740439793790466,1.3418271075456627,1.2793868858026027,1.60673719173558,1.585838771935637,1.6743541514185194,1.643539252186799,1.3429852151229007,1.1929050992478758,1.1451645923754075,1.0036123144336477,1.17033717997233,1.294883069292534,1.3739142041622279,1.595940614854935,1.453318445500264,1.2860153076274907,1.2342522819713526,1.2829621617676068,1.1333378527328775,1.3020238675086946,1.63736563504638,2.086485365724013,3.5904986034680255,4.857961454026272],[1.2601333083880357,1.1797608291242991,1.2173521101289466,0.9347307965681884,1.001597334651465,1.1053880558531501,1.021328802580958,1.0342001560519904,0.9260910317035794,0.8435993600725373,0.8172149901142841,0.9575957831979812,0.8805573264659099,0.761526751560826,0.8100090763959402,0.8281767673988278,0.8526437414804329,0.7653037207510298,0.7663955919728653,0.7977655207503429,0.7887106665427116,0.8995604405657482,0.8983380146817505,0.9900569747400167,1.1993291369237764,0.8910469300323421,0.8284586226153123,0.8033161750204667,0.8247195584183524,0.8767690976107619,0.8434663129423945,0.9032600522097148,0.971460547768855,0.8849425207355729,0.8834186356140268,0.8391853742393189,0.9190455104284688,0.9146018244736625,0.9198372163068276,0.9599940794104092,0.9384643180754387,0.8646923011554155,0.8805105103043428,0.9504789956734627,1.487066752947737,2.094223375073386,2.1312572157816527,1.1686088660717648,1.4321156503414316,1.4242426523595748,1.1845014907671991,1.5437982062112927,1.1076873400944072,1.0778745146217572,1.5241201892838239,1.0104058590945888,1.0763195351676493,1.0627941806180596,1.0081352990106962,1.3184317641007,1.072633024886071,0.8869690507368797,0.9041143093906907,0.8615287994877304,0.8878874798621563,0.8201143862306762,0.9344772245655806,0.7828482951882747,0.8767667871930747,0.8119707662691862,0.9472772881285808,1.1561410690934866,0.9461530488669571,0.9801777279273991,0.8358281784301175,1.2802311931078836,0.8296102488160382,0.8519096672584664,0.8613953558003368,0.9062834008866648,0.9391838770089004,1.045046605716191,1.3482259166330186,1.0184951389563435,0.9307670476921028,0.9405237875310374,0.8932521770750661,0.953018156041758,0.8426455655394735,0.9363257456473482,0.8460213939457039,0.9942044562018277,0.8991954416715526,0.867103180546208,0.8564081117010834,0.9056956016201959,0.9067433639814829,0.9480637803567924,0.9633069021964807,1.1786903905172719,1.0221816335191232,1.144201449616384,1.0424495215625353,1.1472696240771012,1.1694592490185378,1.1835275874558406,1.3898041407175397,1.3036652090589045,1.304688906776563,1.261734081354313,1.1611750523734221,1.068834353628821,0.9959669119553093,0.9476265194894927,0.8569327254197756,0.8662371452542048,0.7894166832563289,0.7825013551502047,0.8148043244136208,0.8122364746672541,0.7738692136833346,0.770461731791832,0.7714812864978854,0.8031031003169478,0.8603322696163435,0.9786662594380612,1.0112412728360671,1.1171551616109825,1.1941251639867,1.1927748561443423,1.286327855908727,1.3200557771818449,1.2616406087218495,1.1866538824447366,1.2101593876321308,1.259298439218477,1.3559963942046982,1.0310643536984612,0.9617554637066859,0.9646086732486874,0.8606300691103965,0.9059017937662415,0.8287359366769124,0.8777493121211928,0.9066258280246733,0.9058929990468108,0.9104339343604508,0.9428437470365848,0.9635067223297124,0.9928138757868006,1.1388442506633045,1.0701689310841924,1.2318722961603465,1.4981511651804231,1.243646169835924,1.1347661797268467,1.0225238008455972,1.0702273524668513,0.9677150807202076,1.0459903521656808,1.0334741058034451,0.9842959083093155,0.9933418716267085,0.9959603377650351,1.1220726336409999,1.3374355893486496,1.37197784831586,1.813692268828301,1.9501900770743064,1.7325578286284464,1.4245878264086338,1.019871411113079,1.0775729505330887,1.089929647451913,1.0215075350507143,1.064626072154811,1.0125929822585125,1.1601846416579709,1.0332335361853806,1.1365200285446981,1.381436386991391,1.1227591477180772,1.1672567331738435,1.2450082773098,1.176949205512566,1.1074657330183064,1.0725680950555756,1.3206376789715246,1.4105043537202686,1.3015164931740681,1.5171909783334976,1.2682094914626496,1.4308168252432965,1.4293182723316853,1.3807385000294754,1.4653361352899605,1.4343589811020283,1.4146612958171962,1.3769594568278116,1.3961592034120347,1.3615851827268457,1.358229277980753,1.3346282690096776,1.3665757925727198,1.3818390214496574,1.3701658862442974,1.3765808003589035,1.40251443278949,1.4747177304523715,1.4170376142163237,1.4336753930501203,1.523431998312273,1.5732872865620566,1.4461465175177206,1.5087524014399614,1.5256914409829638,1.713935815369314,1.582605460286329,1.4984607991205832,1.5332615870441857,1.5585147251558549,1.8285992575273726,1.9849603219500582,2.201508168127913,1.5549434909076274,1.515712086061481,1.4988565297062386,1.4591184713469971,1.4864734695983213,1.4280680190950263,1.4687283996505025,1.5260321518280058,1.6505662619161852,1.5651847973583928,1.5197895074277012,1.6867947813659196,1.6068513838147482,1.6942488718434672,1.4670010117612335,1.3759710710504363,1.3530319780303472,1.4027664216953142,1.4695774538346558,1.6627473081244915,1.4760290830836502,1.4669425093167787,1.511872272541651,1.5789356529547183,1.5001934843414162,1.498836712622103,1.6306007198773478,1.6846304232465819,1.5739626387753787,1.6755695002825366,1.8182236920698425,1.8504738355098607,1.6838390459400765,1.7666565030449102,1.6249597414157377,1.6186024977900664,1.5312603312721047,1.528063506326353,1.5564637914667554,1.4745617011753798,1.481513987174772,1.5016190339121214,1.5077151735265104,1.4438537396945568,1.5313089370163244,1.6391745377653963,1.5429155424495156,1.5602040829849317,1.6179893093622353,1.8348109871719633,1.705522138496734,1.7071139093463226,1.8162792188496175,1.86534265070881,1.9291238571452967,1.6781754774126083,1.506282012200065,1.4732303785314071,1.7460214756664862,1.7438878604000014,1.8112208466232018,1.8071592218097678,1.5550074848223019,1.3905948119557363,1.3417658311650293,1.1782132274136143,1.3611641845808575,1.4698721578817069,1.5051945941924094,1.6907481525474515,1.5298436896377399,1.3636159509858023,1.1978784501054325,1.203699680040686,1.1210389431596557,1.298525992625272,1.6422359280318688,1.9487981982871811,3.564613977692274,4.979330061400247],[1.1445827598787257,1.0670608456445176,1.0703285950227837,0.9217131949058225,0.9423582404887619,1.016841857015108,0.9800373013680033,0.9994024827739918,0.9103641100484001,0.8513546158456398,0.8335400923542633,0.9399208883382257,0.8751825710719977,0.7827591957826638,0.8170114365979918,0.8268648382714078,0.879535107120402,0.8222205838129092,0.8062529322939008,0.8603801886883924,0.8804366060480531,0.9759425348057409,0.966615682424503,1.058238768044623,1.2228620752870445,0.9406976882792186,0.8651833363474675,0.8313781684860233,0.8487267027611702,0.8822726704494593,0.8581481016527068,0.9025851692988047,0.9379005646197577,0.8818973799372909,0.8852785007271001,0.8588307740662522,0.9038541383776623,0.9046089115691288,0.9010666672081078,0.9005924897024605,0.9756561819206208,0.890640902253932,0.9135666322324898,1.0393674077317543,1.6040062310248524,2.201218087568217,2.2655491896890085,1.2924599929995082,1.5347905430119584,1.548380215145114,1.2672977176655957,1.6537333358161765,1.1578085183909905,1.077888988195041,1.4600920428994744,1.0110753958146605,1.0861617329755624,1.1147295490616969,1.0396398041796706,1.3501765734009779,1.128994530730325,0.9576662459196106,0.9688833206201682,0.9164237823037683,0.974958085228433,0.8810884003908238,1.0255645837194358,0.8523223315403522,0.982729852719429,0.9047791241579981,1.0534509763005084,1.2175907427264465,1.0283966055639984,1.0839001365908916,0.8935821077794021,1.3284810589219558,0.867948528995531,0.8820891939282777,0.8754960003107665,0.9414036331720808,0.9075394414104785,0.9826500168583032,1.2591464372978225,0.9782213094443596,0.887445625280739,0.9071625941469039,0.8777805702483581,0.9229611511065925,0.8720436174094403,0.9441714226483459,0.8655480498177617,1.0176279772338948,0.9184811002212324,0.8597396240320976,0.8554795748020662,0.8879795125469252,0.8869448851984739,0.931237939454515,0.9522086223285215,1.1210515131992425,1.0020736295167885,1.1099568644501574,1.010581347092779,1.0674801733835237,1.09664571580331,1.0852190400919435,1.2636670108430637,1.1747212725655978,1.1728015505636027,1.1485758008344384,1.0696458977642336,1.011444840358921,0.9586581900589041,0.9220113861081725,0.8623686310335604,0.874804844583804,0.8173169928950254,0.8226882096607308,0.8542594131600719,0.8853825290386081,0.8424505345578607,0.8461536688613628,0.8160552542890135,0.826765665538562,0.870438628263857,0.9437910542659921,0.9621832301415579,1.0498418304004604,1.0742594682176694,1.0714345742883187,1.153157248034494,1.172253048433522,1.1365891202059755,1.0637177526864157,1.0917662060977793,1.1522353793602242,1.245217686802007,0.9914041339805257,0.9502663017002116,0.9513843388338954,0.8871952747126884,0.9359939978580292,0.8281104066307469,0.8801339124971658,0.9007932596650013,0.9003657753100004,0.90306278646376,0.9298561826575424,0.9338101050109737,0.9767209878497328,1.0901104699657311,1.0280255322391083,1.2208994730402447,1.5562890094583282,1.2514290349780244,1.0868023197307495,0.9939701424290941,1.040844684556048,0.9527018480396676,0.9873104644620279,0.9694973918353039,0.9488798694334001,0.9641824723527008,0.9572064422019556,1.0602588450955142,1.2845966591944453,1.3156046861553508,1.7726183502607493,1.8784302201269607,1.6801975079315588,1.3557181009572772,0.9532935633413882,0.9846590486468867,0.9978400877957945,0.9378626443528997,1.0003978820966695,0.9763187253694167,1.0813007336733083,0.9683755491982013,1.0446214756222707,1.314629380663931,1.0138783032017706,1.049974827937977,1.122881644784471,1.0935574831214505,1.0474464706622977,0.9878390432650687,1.2885045145287157,1.4205768271215742,1.3115031803689094,1.4745833128467625,1.1823607076091494,1.3649353559477015,1.3537043270393745,1.2734578360103868,1.3523979505368935,1.3124106060978833,1.2775342310421838,1.235256659893795,1.2243278130451716,1.1467144757519951,1.1302285872828013,1.1358629651459955,1.14911267606288,1.1345299062011451,1.1438888537386578,1.1567998807978286,1.1523672580615636,1.2284173634054218,1.1954226032498871,1.1936075726724036,1.3102903256049767,1.3827806260908486,1.260346038978656,1.342074864926726,1.2751561168014975,1.5291667824488266,1.325907413486962,1.2565123642399327,1.3169264884879988,1.3486271945706487,1.6985621961268427,1.6729071182782749,1.859264936952733,1.3008497411079318,1.2425418303567632,1.2445818169904754,1.2301620795904067,1.282075346347147,1.219967837296722,1.2864000037532077,1.3719085175192727,1.5031384557131322,1.3912928230177657,1.3296879357584148,1.5226057648949893,1.4122252262122228,1.5222720888345889,1.2765875478861792,1.190561501948892,1.1815941858035335,1.188374324764353,1.259002216050291,1.4111189986090962,1.2249395867491137,1.2345182682600988,1.2416068932842674,1.315066068975268,1.2763391494731877,1.2424168497623662,1.3750692641540276,1.4480182230105993,1.3212071662875156,1.4306423527912453,1.5749198117843506,1.6428971432686381,1.462050542140718,1.5363329696012935,1.3834562528856553,1.3651170458685615,1.2645733980176794,1.271856029324059,1.3139623207520832,1.2170130358898024,1.2259289944056975,1.2515805667342532,1.2618009098254954,1.2092143494940046,1.2868793295024976,1.4342514203351975,1.30066399244755,1.3431586535656828,1.3786868996636932,1.6054502540876345,1.489966618847754,1.4891167310790852,1.593534281805672,1.6386916158401983,1.6880525474843429,1.449613115535364,1.2710188501905506,1.2330712314161354,1.5508909618283084,1.581447314070733,1.657163064473906,1.6659796777756732,1.3676793199874906,1.2376409243837898,1.1846316437260103,1.0660142781316284,1.2005231881279617,1.2591465861918318,1.2533112488677558,1.4667896754654008,1.3680571921197162,1.1363450172018432,1.0770275750395197,1.1592362422113214,1.0173254760173505,1.1707285594541585,1.6619403940960307,1.8620788488820177,3.33542680076295,4.8241087595211285],[0.8570139984177513,0.775635503170993,0.7578958724475507,0.5736183620908205,0.6195859203663492,0.6258894208810872,0.5858053696469347,0.6185546615897995,0.5687358574197865,0.5115652858845501,0.5152348585887361,0.6343519730437301,0.5105041762464088,0.4884908241686752,0.5111215027505915,0.502153753184092,0.5408973484248581,0.5185900512675015,0.5992506669924093,0.5801481770197038,0.6241448781293807,0.6989057390458807,0.893031983623909,0.9620399655904615,1.2305083296453396,0.8188401464232619,0.5969642692554233,0.5455925212933057,0.5100532553146577,0.5269144892116467,0.5462114952544657,0.576008476354032,0.6127730416750973,0.5348813557246394,0.5443841869267437,0.512424500316015,0.55957009433037,0.5771722731213381,0.595864463525725,0.6379735949799418,0.7016627828706217,0.6430271981638389,0.6369633866270566,0.802258321779308,1.4147946746311082,2.0140425790823757,2.124043531054638,1.1170251089897945,1.3370057056883116,1.4492903506293329,1.1429279075026977,1.476321395419936,1.0098703810279448,0.9574705555907643,1.2948994601909778,0.8304477655389033,0.9103912379110496,0.8022802116977344,0.755183866622166,1.2475422530103306,0.9619608885720419,0.7026077511183318,0.6826337016500228,0.7348999396891664,0.7483165726966158,0.625778255901125,0.832765269508289,0.6038171941806788,0.7677599982521967,0.6803686398608048,0.8701422596082521,1.0734484616443902,0.8255385224637376,0.8911358995499709,0.6198842647731758,1.092154096557566,0.575866004153737,0.5597827025108848,0.5568817079634317,0.5896820777981604,0.5609869611140743,0.6954242428881243,1.0505993164024832,0.6520481855107018,0.6001612526626554,0.5750007676969207,0.5635541825650553,0.5868299592603736,0.5141695223578817,0.6022756341864958,0.5520620345431436,0.7615631145241932,0.6507093222450002,0.5655737064407488,0.5633519198171443,0.6360821876283669,0.668559606807531,0.635044345318411,0.6356110681519768,0.8303744858047085,0.6492104509610305,0.7772950870257964,0.613718269393978,0.7279391727891753,0.7553117740022723,0.7514497479250206,0.9895093169934434,0.8855930370093119,0.870916380358848,0.8551383248830199,0.7296415485201901,0.6101710106862288,0.5645653205420261,0.5649267098308199,0.5405666124011007,0.5755350716431521,0.5885862974262676,0.6043079260824372,0.7427187177231742,0.5860466568885339,0.5843312520744482,0.5619597757712722,0.6129081133806497,0.5359079128489043,0.5260337518277107,0.6065779978903227,0.6095775971809925,0.7001320393995256,0.793209703053299,0.7896314176167465,0.9162166863699656,0.942958981101177,0.8871273456934452,0.8082872603502679,0.8124849360616462,0.9361944579069763,0.9608946382831797,0.7314336002751923,0.6890626531644961,0.665514731335454,0.6704798621455892,0.7691878985561169,0.6490371037964398,0.6157049945926143,0.6097581633809148,0.5716723410966181,0.5707579519615523,0.5620046591689457,0.5367395374246358,0.5928188018262296,0.7440733890552667,0.6890101287231148,0.9360057584792539,1.3762693377720543,1.0073057796834537,0.7563983240346221,0.6327262070337702,0.6774631998730645,0.5573457347366371,0.6155942708268253,0.5925641194716812,0.6047919443184825,0.6592659857903368,0.6521411285205941,0.8014667116104136,1.0766878094199033,1.0900287885969975,1.609855022734455,1.6878582673477514,1.4699861991010792,1.1093639141595864,0.668791569061849,0.6817420077087458,0.6983864597202405,0.5926346335488059,0.6381815112380949,0.5902296701112941,0.7816060991874425,0.5961655224712087,0.7511701009554301,1.0382917981467346,0.6871859167569231,0.7681372633062408,0.8723476607036069,0.8212222562663826,0.754911662828245,0.7650969597359392,1.0413499383576805,1.3078699744009485,1.0884915619362319,1.3503095634612416,1.0204937353103787,1.201712821329012,1.181432058633144,1.1001976031117766,1.2157520369453072,1.1445214137026578,1.1259432257267887,1.0784757164875964,1.037109608525405,0.9773669460705919,0.8955440056913753,0.8769492894102033,0.961422284700005,0.978569911676346,0.9256800658327752,0.9384080214916588,1.0252154578098536,1.1022514607520453,1.0144260951233437,1.081447831590036,1.2748951283985057,1.272996315972212,1.1397966359454226,1.4175340421575726,1.2589881421781037,1.6097874687314428,1.3339638232232844,1.2604672673616448,1.3736806140923659,1.4141226796160806,1.740175838752184,1.6514907362761169,1.716642954549531,1.2865294701827803,1.18748659033634,1.1446100919131752,1.1721551286710106,1.28832258876775,1.153129660140498,1.210673723440302,1.3616579909441382,1.4720194300982103,1.309767365215671,1.2384747537490837,1.4402563741220764,1.316920295901769,1.4050501777549933,1.1577150643132044,1.0263972107804953,1.0422688546935106,1.045641608074079,1.0792780913994413,1.227927850495226,0.9955019786564723,1.016312463416868,1.0775761343962178,1.1019879009888545,1.0125629528344562,1.0493690793644554,1.2102240106326738,1.2646535849230625,1.1560864236686825,1.3190844906069197,1.4501033717376763,1.513481370336395,1.3960966853967467,1.502768869227722,1.3650426467373085,1.3224209387113297,1.1698319810833089,1.221927621659646,1.323890499276643,1.1596931576424017,1.1547645625080942,1.2450646054245154,1.241142308305611,1.1351947077679776,1.2748919147547575,1.4527378654639977,1.247318100413981,1.2801871743692936,1.3604939601491122,1.5726484824641387,1.4425159569758956,1.406716702833459,1.5590060016548506,1.575020133516768,1.6541507145861725,1.3170179675189866,1.1381297988753014,1.0191734165223227,1.3079372935254399,1.3830424837688988,1.5194460583145821,1.5267163737679457,1.2122372391161462,1.0187493998856836,0.9609121813790408,0.7620386709056948,0.893826329090124,0.9493969098361479,0.9516941901748979,1.2394879115306419,1.0685771504953656,0.8236140544379594,0.828071699063535,0.8351102121565377,0.7028491593577303,0.950170893231578,1.5871530857349696,1.7411348946799363,3.250783594598742,4.8370455296433414],[0.8938175157969825,0.8680492874841742,0.8861329303393426,0.7121945267477533,0.7600732536477133,0.6795857118815528,0.6307335726636321,0.6838531002382542,0.579286402142117,0.49599124108498954,0.4825788105326803,0.6117148522802746,0.5201274448849432,0.4429034552921696,0.46718378967355423,0.49160708964941535,0.5388151502518664,0.5131387670736378,0.5552205833698537,0.5692300510142582,0.6127139176385441,0.7105942239615368,0.8908247259693471,0.9696785220456058,1.2193455513942273,0.7811686221473072,0.5783413191571554,0.5218834011547381,0.5158866221332163,0.5324633817542475,0.5113286346488132,0.5618988697030199,0.5698008713245424,0.5228480854861361,0.5280568130254081,0.5189796292973576,0.5799382064153509,0.590027248232562,0.6259582474536183,0.6918938679039123,0.7325610413338584,0.6490169882853307,0.6759367505167173,0.8764491744859079,1.5000094165292004,2.0895459465019925,2.2334989337132702,1.2161272095681344,1.4090794597103067,1.5896780289227743,1.2689493070205364,1.5887305852909968,1.1113658390112542,1.0300566908823878,1.3428352120706213,0.8834982775426934,0.9265843929647399,0.8693090515925459,0.8245252269373583,1.246664706567109,1.0081404547390707,0.7347932606039043,0.6677225090460039,0.6875635166266653,0.7337277058849448,0.6277587475038069,0.7955139799983604,0.5735643313349419,0.7489054421680226,0.6786871063575439,0.8576246253422454,1.0868619022256347,0.8046127842765732,0.8641278497597893,0.5823754633693394,1.0574965130079375,0.5421185671089984,0.5428847825317793,0.561541988291244,0.6186429122934789,0.5943168800435625,0.6971819197613006,1.051926640003848,0.7462489938401107,0.6865955871352628,0.6431414020898957,0.5906529727565913,0.6195827271308827,0.5169792027354557,0.6147145861742906,0.5392176116673231,0.7069038027472717,0.6121537003757027,0.5270446659660403,0.5321491637013074,0.5855334804896987,0.6284234607282181,0.5986873364201705,0.6260654309864225,0.8418963209186902,0.6723283902572167,0.8298937895047475,0.6770551969914849,0.8031098266847448,0.8475649708694336,0.8337395347241455,1.0437196693859094,0.9965422739934904,0.9712400158790656,0.9522259550730442,0.8460644056523966,0.7064159161534221,0.6470509608119956,0.6315124971212985,0.5627005095797492,0.5650034054164975,0.5479390779621787,0.5683537199559016,0.6722025451145974,0.5643681393291083,0.5493688915277801,0.5496941490014313,0.5768322346788193,0.5237380124509009,0.5396205208145444,0.6577129688023314,0.7567695777318035,0.8106196557470361,0.9184507358789147,0.9122004499556658,1.042056643786615,1.0685921135615395,1.0123834428705063,0.9388585030741642,0.9096879503966856,1.0262936786013843,1.032335867455953,0.7849075880812707,0.6995200326397852,0.679833292403346,0.635421247614925,0.7652799325431832,0.6001829962210797,0.6013810545780482,0.6221753837491787,0.6011189938884973,0.607762485499953,0.6244671732148944,0.6312264713426434,0.6506499789291288,0.8266304656289578,0.7458247337022573,0.9652473030779468,1.3997002081752912,1.0200986506151992,0.790871550395355,0.6884209807836675,0.73908702908451,0.6239489579721123,0.7264488000294029,0.6701898560811759,0.6585918463656347,0.71520718596896,0.7320711156275244,0.8893353672310904,1.114206760391139,1.1900270738470693,1.720230846383728,1.769319539274291,1.5259346298947738,1.1763304779910828,0.7160788321636826,0.7390553674887503,0.764657328334675,0.6809022753230767,0.7304884517177501,0.6626015151364358,0.8481678341131295,0.6831084771566812,0.8521348456957766,1.1024805102051165,0.7967382740044723,0.8834452663410071,0.9886577399779208,0.9298189039350623,0.8593578282729091,0.812639739434897,1.0988335450533986,1.379864617772325,1.1869655097985328,1.4314161808147816,1.1217004736104252,1.3017640265170667,1.282946211230596,1.2244695488722752,1.343505376371969,1.2561399074079405,1.2621453930607893,1.20938337158175,1.1626567182208278,1.1376026546840585,1.0397713297809752,0.9978789453252322,1.1117547252642006,1.1428468091295185,1.0691022272733233,1.0714390307153911,1.206273468282103,1.2739061823945828,1.1748500434184037,1.2733693777864818,1.482000549554721,1.4169710766576176,1.3156216352698018,1.6611908678171994,1.4760375787965114,1.8599202912905148,1.5318830136994672,1.4655957628254168,1.5816343745047994,1.6309536740282946,1.9018471632341631,1.8296258883208034,1.709174028375311,1.462522453943075,1.3825907649286682,1.308080903022816,1.3516422741443188,1.4782030388404972,1.3063423594073957,1.3472837833891314,1.5028871623803859,1.5624523326583988,1.4321351757720926,1.3916919014169,1.534912894455316,1.4439652953124347,1.519057392485921,1.2973810714037153,1.1642042174985987,1.1947417518290593,1.184698337718912,1.2069716165334547,1.3323827519564595,1.1027799890170142,1.1353490161020665,1.2079521999244283,1.2102472718498054,1.0823714414679915,1.178774692793777,1.3297409979121764,1.3620681991496162,1.2944993375383522,1.460165728369067,1.5584155884634245,1.6082710278767693,1.5592317952400991,1.6714999098043153,1.5435255283770228,1.4846495523589498,1.3383952879043561,1.4103855907278076,1.5256899783214817,1.3490647644307905,1.3238905797930849,1.4302508429116048,1.4206607245658849,1.298694433812405,1.4436994683858697,1.6077653695656229,1.3880140584967215,1.4213007897586096,1.4970546723953455,1.6734162831777464,1.5475832241860057,1.4976605966280052,1.6636216833726172,1.6416189315336183,1.7360417148897185,1.3932709907934675,1.2665187328590595,1.1475496019273526,1.3201708970819237,1.4015984259762913,1.5598409999841443,1.5659981362419146,1.295575856598287,1.122817595789636,1.081045438777262,0.8826109759686878,0.9641104500179722,1.0090740059156567,1.0116220598522163,1.242990522969269,1.0758328311526268,0.9238955812322938,0.9719881237353635,0.8806280451773716,0.8398541853294287,1.0732052268397454,1.7187503436569433,1.7720232687856519,3.309670871066659,4.9538352499449765],[0.7475711595159815,0.7814702640062295,0.8193598345223827,0.6770400521687704,0.7068685160554684,0.6525132564033944,0.6595362112077788,0.66971165279218,0.6663368435553698,0.7181496580122596,0.7116842555649696,0.7336774675194274,0.7276133413964039,0.7602508812313551,0.7509414228317115,0.747401311513311,0.8350681058970805,0.8292861367305981,0.8978319469884706,0.8638217684448968,0.9181129553592832,0.9517069836250743,1.1634641162797859,1.1942144182688472,1.3954198575403203,1.0612259511609468,0.8698074288954839,0.8544875927753063,0.8058077825845389,0.7427563241258344,0.7879589789564517,0.7441453309438111,0.7527585221818457,0.7292305646417203,0.7228595144140315,0.751975445154224,0.7468669474292656,0.8311519328273135,0.8575554598062494,0.8642023246127256,0.9687383422214908,0.9077255916297593,0.9042140385750074,1.003647748249833,1.5949657614524753,2.161197242934355,2.2611509941525716,1.2691364308392266,1.459890524731572,1.6064219870154115,1.3014488815260326,1.5580082985096966,1.1353084408414098,1.1222562359831667,1.4280398356843265,1.012823107555633,1.0492608913090868,1.0107264265069613,0.9723065848438242,1.3270876415603674,1.1972630891272802,0.9848345556906388,0.9407660710182484,0.9612143299155754,0.9767438501439686,0.9088459213200245,1.0665944720253233,0.8756892152925554,1.0015506785708246,0.9530737351900055,1.1096486048719918,1.2647538538893395,1.0388279535277647,1.0520073264565637,0.8894593359826531,1.1474574874134416,0.8274525894384044,0.8034389314339297,0.8166600558534267,0.8131212287012054,0.7610904646440309,0.8454637204481682,1.0980045606827065,0.7777599527013721,0.7565517845957712,0.758005420005387,0.7946600263676205,0.7666619223183023,0.7674023456592479,0.8337040938908987,0.8006447663228914,0.887311455700718,0.8449499729537454,0.7869008757598868,0.7939182052332068,0.8351088227419479,0.8746712359792452,0.7624029565135056,0.7267257840246589,0.8241232857557226,0.7113347025953232,0.7976418635378189,0.6846583063417029,0.7328237041477057,0.7897876125053507,0.7336508189921174,0.9169988541033374,0.8275410264125213,0.7905528370371016,0.8034943476342342,0.7263254551104087,0.668560296984322,0.676979332450851,0.7740723402091777,0.8203075162655279,0.8825963121536715,0.8716660484732934,0.9377381711465342,1.0539750266632755,0.8715996712401193,0.8702463230382532,0.8809184728748755,0.9555179097531715,0.8741811986799958,0.7830435799053721,0.8186044157851016,0.7091109559317343,0.7820297431658119,0.8083609423936847,0.7877562117133936,0.878278944192441,0.8648188768979922,0.8648181242017885,0.8105772922696928,0.8404555984786433,1.0257131495940808,1.0089205512001658,0.8622240254575178,0.912729441384877,0.9081783341770701,0.9279475227175581,1.037052178781381,0.927262767089483,0.8923591116014229,0.879877368966511,0.8320115559595641,0.8368585919110723,0.7679938443499827,0.6968002630615859,0.6990760587437723,0.7696326078037506,0.7184978612335009,0.8883001456458967,1.3034746804814805,0.944327805377924,0.7606641236265959,0.7082804234643288,0.6984282481461129,0.685127213819236,0.7147826840794649,0.7264483886967301,0.7897103093787157,0.8869826163731289,0.865592589821191,1.0051791999666295,1.2491892883729525,1.2294024013797344,1.7771100024613824,1.8045077418222095,1.6068342159229432,1.2048836030070798,0.7973528497777143,0.7890390510051531,0.7839464108498353,0.7094024117759142,0.7114559339525636,0.7101118137381122,0.8473431565371352,0.7007539313833935,0.808208758566408,1.104715150705695,0.7295701191901437,0.7903167653189607,0.9077740456619506,0.8936846148252791,0.8848241209022714,0.9458321195605718,1.1598741325309074,1.41239357809042,1.181850652722619,1.4405154909405946,1.1250107671287062,1.2500573548537663,1.199948339256957,1.085162270659451,1.170988544263731,1.0828989337159933,1.0372761866677316,0.9603899408444744,0.91603805786666,0.8304584705291748,0.7895256770601536,0.7495653346895064,0.819234654855111,0.9112093542418074,0.8659615095181719,0.8374117481513366,0.9988334948733519,1.1653178620390516,1.1026402485785456,1.2142751898265192,1.4913085504121961,1.4632118970073817,1.3930289551762989,1.7777101288225223,1.4512737728832479,1.8526497661913226,1.3460461867991231,1.2952610881437514,1.4611729717238513,1.451272582658253,1.8396474579938908,1.54240508399546,1.3979758741489803,1.149947018406923,1.0806686434313577,1.0403843836189288,1.0653232017964245,1.1670235947692453,1.0040152339570445,1.0806405266412142,1.2355586204892444,1.3075179324774637,1.1494322191992339,1.0983835498194892,1.3142560661062521,1.1443986365769703,1.2558329253860199,1.0051608680448054,0.8949950737205128,0.9474680098962006,0.9444090441179469,0.9832248197761178,1.1139861708922674,0.919791425796766,0.918224428785508,1.0113790579016366,1.0381013935656218,0.9421621871092684,1.0111113081025718,1.2192230570626923,1.284547897932128,1.2131054650860926,1.3742846289253443,1.5318332916296309,1.6277495284295636,1.549695683255099,1.631771408255192,1.463602929327265,1.3595983906100595,1.142473561183048,1.1912310519051985,1.3507914912433885,1.1651857953649922,1.0600053436862213,1.1699546076932583,1.1800262903419778,0.9762467131587595,1.0923347971223865,1.3351051105717242,1.0350290662415331,1.0778023421973333,1.169623071082673,1.3725559469974455,1.2202099688466812,1.138415877027166,1.3012458221432512,1.258539575286739,1.4194748456035222,1.0677528609523408,0.9955044312061845,0.9881295081534585,1.015827739261273,1.0924126719634428,1.243048961756199,1.2940724614953534,0.9782206051340937,0.8875422499704062,0.8607503756305065,0.7396779117570998,0.7703930895177227,0.8031624717112242,0.8175878368064168,1.1002660180729276,0.9675088119790832,0.8420587248687866,0.9393916987424265,0.7496459154110943,0.802385581053441,1.1502137260618785,1.675958939032297,1.6963062889107698,3.0114052657382757,4.593388533630751],[0.8303788935987458,0.8841777698925575,0.9221757239593708,0.765457438249759,0.7038169047409494,0.6248484320459485,0.4924340359143157,0.5551782277300104,0.5000055515390358,0.37121339816080884,0.37668544025033757,0.5255795842092674,0.3869553619317021,0.32132904592846695,0.3733931839460043,0.3873944592732944,0.39111318141568696,0.398140591505111,0.5212701867032682,0.515272454111419,0.6035612200359143,0.7389512394514918,0.9307539426401863,1.0192510866891222,1.2345228291674857,0.7740194479468051,0.5494305913055917,0.46142635187181025,0.4159048739524551,0.40185456816562654,0.38547058012204843,0.43769430459114017,0.4535652649998428,0.4049858893554766,0.39606718451553813,0.40151278382633665,0.4417633600025866,0.4970377268279597,0.5485226698009357,0.6269114974830138,0.6873692321559303,0.6241226606576168,0.639523836276492,0.8547473790493819,1.5184356700507189,2.0946158254917404,2.278929463476707,1.225708997132503,1.3889519277035731,1.6155655104046616,1.3104611075652672,1.596863270194763,1.0999126651776903,1.0396046812426236,1.2445174857408945,0.8890768424144024,0.914898983515436,0.8000145810090686,0.7585496401249925,1.3009155821354028,0.9976183616101261,0.6893143024747281,0.5995157323718002,0.6779093032426748,0.7334535182561367,0.5724040439243555,0.7454315072822507,0.4827422996258027,0.6671950350657437,0.5697526039045283,0.7390483451723998,1.0044982840970091,0.6758706718396448,0.7820574167797464,0.5021910061333276,0.9959556842440803,0.4796331962402533,0.45467505632042177,0.4634536433328836,0.5611085892530447,0.47689936543430217,0.5970732233957592,0.9315013141476732,0.5984454550323106,0.5963969267439083,0.501616563499286,0.5097958259046493,0.4947828679564384,0.43376369424947825,0.48520776744071625,0.4229788396900603,0.6588867721670677,0.5070923500980791,0.4075897860056363,0.4169315407280538,0.4975349056344961,0.5680298995293535,0.4565331467836387,0.4831276970158143,0.6854550058508827,0.5213101452258554,0.6832205442378332,0.5145544629601189,0.5981818949170135,0.7514910748495405,0.6389961819586196,0.8206097734247008,0.7473086349718036,0.698908053937386,0.702293183029922,0.6483127264219134,0.5232167031271743,0.4634474776057183,0.4448658897290376,0.3997709178075855,0.45742422249261233,0.4939734577532782,0.5474401540102616,0.6826091780836072,0.4689257230638774,0.4653968397442856,0.44179994348862267,0.477325351036539,0.38776764355041415,0.36332042253777824,0.4582363613884437,0.6653318172541008,0.5705428518425126,0.6602084671502033,0.6555885308079683,0.7784697105041268,0.7957268157099784,0.771952436071754,0.6874826716816707,0.6871673390981397,0.8061320042409479,0.8307935972894219,0.6570581097340289,0.6091255576358098,0.5951212785216785,0.6403577073221851,0.7745266691332888,0.5971430598256581,0.5542227243377683,0.5572502257469617,0.49000832948337053,0.4846455571801046,0.4629099272315451,0.4384815759422577,0.4927729556883536,0.6367664657450558,0.618848804315273,0.8352655497484469,1.367889560496951,0.9587183376994352,0.6441950153819207,0.5270384730479027,0.562656798018209,0.4737845258072605,0.5413041505523185,0.477602761491193,0.49583047302796496,0.5963769625010288,0.60987623260201,0.8070011831784283,1.0840876590204982,1.0897329351035971,1.6669717911996325,1.6518581565302835,1.4344311954843938,1.0365106937303248,0.6055067143797752,0.6025508440833391,0.5908186549250447,0.5144951249963414,0.5408511471062827,0.5233907680036325,0.6771002351102837,0.5310144056452986,0.6148059044028696,0.9489414028157941,0.5708584203704347,0.6502078056835096,0.7943269821258249,0.7803147206873582,0.7524103295003376,0.7577457684264653,1.0525910190996703,1.3602470778273776,1.1477077976182133,1.4221701159252038,1.021219204768842,1.1969543645316811,1.142918565840405,1.047098891434948,1.1870759122343428,1.0659941251951552,1.017208512423427,0.9405203006491878,0.9022534793714664,0.7869176797001932,0.7451264352096753,0.7106087972284687,0.779840360364629,0.8453902636200478,0.8320432159395077,0.8157357188352962,0.9590749545260531,1.1089815460511514,1.1060137759947772,1.2073677975800405,1.437282404311643,1.4428056160079687,1.4138278390697203,1.7259138159414709,1.4250867517721701,1.7636360914996765,1.2688618216839238,1.2061003725017674,1.3564759589242763,1.3480188591434874,1.7070912433421133,1.454724755281686,1.3210325218905812,1.0322315382660519,0.9665624042573011,0.9326897420868521,0.9523784094204066,1.0167460364055123,0.8867621780661443,0.9942795716542092,1.1511849109642627,1.1968950483637186,1.0952366774499545,1.111085416619363,1.3203488447475078,1.1658119229343482,1.3221499255983058,0.9873179923739911,0.8944066596553939,0.910278955499751,0.875655947674374,0.9220384475339769,1.0284203355000368,0.8754430360921542,0.8594518004793542,0.9308016832203062,0.9622699782560985,0.8998432329854429,0.9468575904468586,1.1438073139385534,1.230764913671472,1.1730226692322692,1.286426744332715,1.4556203666492644,1.5857103941068185,1.4764401757790524,1.5328658514804796,1.3588751499907763,1.2414615303438414,1.0376221539700008,1.0743115555149307,1.228530623290866,1.073575194281169,0.9596825474545874,1.0630845486969842,1.0750727938489455,0.9070477741798882,1.0333275065519725,1.249210541238117,0.9798575901415602,1.068429661713914,1.1569865269864725,1.4157566416615266,1.232231950169355,1.120734522125669,1.3479368119594146,1.235253410953623,1.3467123316489695,1.0166546512774288,0.9679271267529012,1.0266333541236288,0.9139136418563193,0.9533881536122307,1.108547961626006,1.1987701401074222,0.9288444306381045,0.8149496381816642,0.8137652529644758,0.646944832876393,0.6871194382113699,0.7170966024332606,0.7783138031027034,1.0047337781029195,0.8890622702184724,0.8705654530858874,0.9666174747735684,0.7526766451698376,0.8903903504722918,1.2211641364780526,1.6521096350198161,1.6243672633582054,2.7762944360289143,4.316763328468166],[0.8104328431136952,0.8807457458847461,0.9541464791532894,0.7535246525583434,0.6584463234656167,0.5920960959012805,0.44003226887120545,0.4864172068893433,0.4477784547550018,0.33608750760953715,0.3400529475187584,0.4756612352759707,0.36839458199230535,0.31962272444687745,0.3737869449113637,0.39871259711711443,0.40019756232559517,0.42504324089408174,0.5545878280925833,0.5449684095308924,0.6285818366980649,0.7806247085440602,0.9695251783982084,1.048342792622177,1.2425405242847654,0.773754086773693,0.5712595364351537,0.4805365266964695,0.43066164328080103,0.3822341214941622,0.4213742572181343,0.41254634241539395,0.4418919587874668,0.39781039510874805,0.40109685437561665,0.4281076106801983,0.44844708681419604,0.5318185949454018,0.5698372407548311,0.6492593990913696,0.7177601369583644,0.6560711430117337,0.6837108356309963,0.899388288705014,1.571718793073384,2.1378304833280204,2.3336386274895102,1.2794606997418554,1.4076280765627167,1.6451007880027302,1.3690897743875852,1.6201574717647227,1.1408823739034957,1.0394056621299148,1.2188722041231155,0.947510411146937,0.9657131439970661,0.8324637048061514,0.7943389729245991,1.3296382941921705,1.0442785939450838,0.7416994416770296,0.6499394906320427,0.74542107532303,0.7951113371732094,0.6166214076041338,0.7457243608969529,0.5070044377211564,0.672323351519201,0.582447758511657,0.7412129321873514,1.0068570992242774,0.6788901062224483,0.7820373968234505,0.5382961101817667,0.9775281944885285,0.5239612480214141,0.48492991823838044,0.5066380765674714,0.6028694808118045,0.5054147707194279,0.6132282841069232,0.9031328341419834,0.6182080879903075,0.5811169601875807,0.5021722586586046,0.5296676306707792,0.5020683745368164,0.4699605021392461,0.5008811715617291,0.45072811713397903,0.7024867115132313,0.5556735684477448,0.42062878247508834,0.42310570644056383,0.4962379286749473,0.5845216244729176,0.432948825754945,0.4442828351334584,0.60896504074181,0.472426516146581,0.614102623904185,0.4744939576381369,0.5411368527822769,0.7573209493122399,0.57431546646248,0.7365121624321846,0.6753625197194447,0.605793030233254,0.6478923914317148,0.5813069093838125,0.4811132738949899,0.40634284490826433,0.4070729617532033,0.38987206467371066,0.45626758821912106,0.502583472325677,0.555981560866639,0.6909081539445825,0.4848985233931787,0.48551814146535427,0.4606308999702659,0.47567989267044647,0.3772593384930625,0.328311885944844,0.41480602712257403,0.6255450485964908,0.5231918763209624,0.5950507649494499,0.5930056669234134,0.7328797635655179,0.7669857804351964,0.7392478532905568,0.6349962904012135,0.6425002207683401,0.7510794516993212,0.7718578754392591,0.6373310425248764,0.5926792214206973,0.5968033486309164,0.6446254354816922,0.7863615425749817,0.6094418142546738,0.5711187468488856,0.5755938752559031,0.49660703938161516,0.4864159081260188,0.4302676945681235,0.39713583518061363,0.4377248969339634,0.570789643793536,0.5458297181368312,0.7532421034980247,1.279187315473833,0.894504774111717,0.5737441055075421,0.4714821245311075,0.49265223871550307,0.4308206090627453,0.4902790250895559,0.45995758689234556,0.4869454264286449,0.6005869785987537,0.6202244504413699,0.8283041197552204,1.1097559183127819,1.0856904417923607,1.667540466936205,1.6204020409995215,1.3978379307201174,0.9918878143518622,0.578241468216803,0.5763441168119593,0.5604642789108356,0.48521534864227983,0.498035474587311,0.4909180178363017,0.6162300559029674,0.4993092142443607,0.5703112870703978,0.9415759520215443,0.529214395934029,0.6153546396364538,0.7766920091474042,0.7677779913592088,0.7535645180897443,0.7658654139098557,1.1024383146174654,1.3551982607993596,1.1907647879100645,1.4537794127364085,1.023335871125517,1.2081479844345506,1.1416769542762737,1.0339803834630181,1.1716356305120983,1.0414759101624624,0.9886566077635346,0.8977208284986963,0.8790515484571627,0.7108545467991279,0.671844771338172,0.6547546684478027,0.7038344503154108,0.7609039917636806,0.7705804731219055,0.7753256420138717,0.9100499898474341,1.0131704609674188,1.056901361935424,1.1938001340708193,1.377732249340185,1.3695756581457543,1.4278938725614363,1.7074851593899436,1.4909995158734755,1.6835517456630436,1.294169927578887,1.1696743228776678,1.309681699918395,1.3102427762307705,1.61973422847095,1.4166379034075818,1.2364699804885093,0.9364401217972996,0.861043636913203,0.8511063919866397,0.8803471343632736,0.9037179024578712,0.7993061489947086,0.920564286539106,1.0818999391704653,1.0866028835539252,1.0142860784671093,1.0819629724888862,1.2664673638420163,1.1112833920086842,1.293833552464366,0.9234095919822006,0.8729973782157181,0.8694631118539611,0.7952259494522494,0.8549012998813691,0.9446963114648655,0.8129163644693932,0.7889717101131826,0.8339223323398587,0.8244709223707246,0.7934875976247631,0.8294038944544732,0.9934299964193939,1.0848251224682945,1.0558428818594756,1.1439474033051822,1.2983384169650043,1.471825029352104,1.3627706975184783,1.39845964770231,1.2423190443962209,1.119805312764781,0.9186423348430323,0.9480398538296027,1.1160499868504157,0.9816247508245863,0.8627387695450544,0.9775843616569646,0.9978280103280244,0.8221290417766765,0.9598139262088764,1.1943825302920983,0.9177515568407103,1.0082403680746883,1.087645688943393,1.3327864208815063,1.1481078803425728,1.0202529784045358,1.3467667833732706,1.1743542004491472,1.3441314383176173,1.1264260414487064,0.9929697564508515,1.061098293581067,0.9757045307948194,0.8408719114309186,0.9316893094606277,1.0484364906419887,0.8177873743506869,0.7396446685763274,0.7697911178856288,0.5902507991398123,0.6439960808023143,0.6574001112325546,0.7072189972451959,0.8433607096844817,0.8376815894495414,0.829362837477669,0.8843586533006976,0.6981544897678776,0.8483066906361602,1.216367828058683,1.477128531512705,1.4918797069729766,2.4373098190747933,3.9662363864205203],[0.7048689398184135,0.833007209005835,0.9261787556281684,0.7413682745848627,0.6885608109212561,0.5874762917397106,0.44415360495879963,0.4658385465006584,0.4524026615146449,0.33745601801057057,0.3410736109484832,0.46353709073495364,0.3752973834091542,0.3281659021646112,0.3872581230104961,0.4004820038507367,0.40827747668212744,0.42053189229684046,0.5414459099955508,0.5336647368854118,0.6152970187723995,0.7515409357711696,0.9310379107256892,1.0101294873078146,1.2390221991123793,0.7740871234435657,0.5620806627156605,0.46873648636891985,0.4131220447447163,0.39285575043429044,0.41302300757905636,0.4100219215633906,0.43810749912067604,0.40039937701985673,0.40161780073603204,0.43668185362753326,0.42815621104862295,0.4876873733985712,0.5280708388004914,0.583901148497446,0.6693885058379649,0.622975881806173,0.6414667587200297,0.8719445971399512,1.568159492612547,2.1260354217734063,2.336668764690692,1.271705347230787,1.390984944982406,1.6184737340881585,1.3181460836287402,1.7020692693308428,1.1375189837302893,1.0412301063829752,1.1556474742612772,0.8929058857025723,0.9088117697213444,0.8128937177109287,0.7316650136481215,1.3253556665451751,0.9721641131557329,0.7000585616206023,0.6452212869409533,0.7278985994941393,0.7683886634627155,0.5893471596655196,0.739603199731333,0.48866338543065846,0.6657177118819071,0.556663142408162,0.736941682169709,1.019762949390958,0.6694863917100331,0.7953832346261156,0.5346361453212547,1.0036634391532935,0.5211496871275085,0.4689641356223946,0.4844357428428829,0.5757658050431169,0.49458197322864367,0.5892586749161425,0.9102004156940894,0.6101938532417872,0.5960951545125645,0.4844182381326198,0.5100553361700141,0.4853378453101905,0.46486915840544796,0.4909072530939274,0.447734581783577,0.7396493179110779,0.5633319113070697,0.43737013295969757,0.42818535249419,0.5160014204441675,0.574424186728021,0.42449997772951076,0.4355117830485149,0.5838068163471647,0.45160554078560994,0.6113773505188539,0.44533221893796415,0.5032810824700847,0.7133680537924997,0.5511834277387366,0.7013018484000189,0.6071104473284256,0.5606444765771266,0.6360065032465754,0.5550358991279322,0.46124624333072095,0.3902253312194316,0.3751395344779965,0.3807362440419359,0.44006680574100127,0.47160062948843706,0.5372363607500826,0.6803722552022129,0.47133395237077597,0.47674292931695494,0.43414393570824494,0.4316708440867979,0.3500028842355051,0.34160422330637424,0.37263322082652295,0.6463777914069588,0.48206492703664794,0.5119339400196017,0.5185909882354671,0.6636264052682331,0.6914287605451116,0.6531976355814378,0.5634303164964397,0.5711212250661788,0.6838931880856293,0.702491404274273,0.6052952510351318,0.573964960679875,0.5764474483615928,0.6302842355270823,0.7632479861775509,0.5925764853984808,0.5537821401049426,0.5493011530090277,0.48013048691582927,0.4623818713870536,0.42961261748766294,0.37246133460139785,0.4271210730246097,0.5347600048146227,0.5134728869653185,0.6861470983296164,1.274329118364149,0.9260590873308002,0.5210100844050677,0.4413206127859793,0.46353176540091784,0.41873772882232896,0.4610429461837424,0.4437426496869458,0.44021233892335543,0.5561480572542965,0.5579981051965154,0.7351552627887622,1.036718834325422,0.9817141085464164,1.4990145297118966,1.4572892805376838,1.2644329664087914,0.9021684305630289,0.5382161716514329,0.5428814842750928,0.5024256856850203,0.44948837250747425,0.4657470328117268,0.4733892702682764,0.5765846161345927,0.4908801261267437,0.5230673677855922,0.8770333487928158,0.48107173217974913,0.5535530309148132,0.6883478220647552,0.6953934337584393,0.6930240244958319,0.6929315392488214,1.0028413189828584,1.2774523162627636,1.1545437219531192,1.4265309774878343,0.982449289388697,1.1511530616357328,1.0836825347805057,0.9416552106035463,1.0778782382229355,0.9675555286582096,0.9030396950697247,0.8247587537518989,0.836091823054778,0.6404625823761787,0.5977151029039948,0.591685167545686,0.6287281465434063,0.6699862187278443,0.6874884829691917,0.722118100680826,0.81017486505723,0.8749142143720458,0.9335490612674963,1.0558247530733667,1.2010020150461416,1.2064586213256654,1.2764246596035456,1.5287399524167948,1.340636935928164,1.509130919960349,1.1747748686760817,1.0441908867461602,1.161839542370649,1.1769584593131477,1.5539432041673633,1.3180324431651562,1.192718810388406,0.815508540103137,0.7559428270015272,0.7557711660132717,0.7995992333962011,0.8104697339159019,0.7238868350373214,0.8439511468214005,0.9982797504055434,0.9957620246411171,0.9217129103767842,1.0445068651509402,1.1883725298475414,1.0405260755282524,1.2395239685352313,0.8645471322861666,0.8297553022537368,0.8257856769398437,0.7349140859288876,0.8010190373205883,0.8467262749269976,0.7772442410039733,0.7329590406415092,0.7413696138509913,0.7484203535015167,0.7419483490465676,0.7220714340894767,0.8777478214239942,0.98259784895764,0.9362805237425066,0.9970105850296578,1.1482147640938478,1.3445699116574328,1.19229694885316,1.2163443310912652,1.0731646132134534,0.9607704742812622,0.77602121018582,0.8117124854405273,0.9650831996868742,0.8433195951140899,0.7438946305544955,0.8551321087731105,0.8796058517421248,0.7278782343797807,0.8516555843755788,1.1036423695416193,0.8406435252899841,0.9283026736659451,1.0018665964262268,1.2696566063732837,1.0904220699202378,0.9554459159515861,1.322932512235929,1.1687835331742282,1.2783927672387188,1.0759358406544786,0.9187822924624149,0.9690348355323563,0.9595664401766991,0.7730789925596316,0.8466629288121024,0.9287835783523833,0.7518389295829505,0.6599816745498663,0.7002902696501353,0.5543213743836383,0.5840197617338632,0.6002611573926475,0.6316015019227826,0.8636010469757732,0.781899348262992,0.7513046725656827,0.7814064472883908,0.7087198192920556,0.7791471065834086,1.057304398737419,1.1577721920060147,1.2083407791553222,1.883678085553507,3.207887482339045],[0.7429163229406929,0.852004522109608,0.967892348537373,0.7183212627813852,0.6614547712675994,0.5387199540399502,0.3844163957081694,0.3939743532461478,0.392207086914193,0.30992826825465725,0.31742162894128995,0.4192502398343076,0.3902549856895218,0.37775211743835424,0.4676689900107814,0.47291007814999564,0.5326953058986917,0.5816965757778899,0.7363167216542563,0.7299201560201648,0.8354366526188669,0.952360650307236,1.1735342435345557,1.2448913639291017,1.4308940040947715,0.9807260865390279,0.7563002883403049,0.6562606641314354,0.5802260874691268,0.5038934804311033,0.5439534393964274,0.4765648889582532,0.5005011022752447,0.5098557570100081,0.5206411943683658,0.5812084471175476,0.5641354594227096,0.6995437235880795,0.7203436388104126,0.8123326177337917,0.86726261454259,0.8256137163249473,0.8500766707752313,1.02710533681023,1.695619161911879,2.1667006480072177,2.459120474464822,1.403930245177437,1.4380507710543189,1.7312086300571756,1.4799682870305417,1.7444444469041016,1.2995586746299777,1.2117241299313775,1.3038920281888666,1.1002755972758174,1.0562196795936858,0.9732529571483682,0.9116971916799214,1.4640403542134581,1.1557950659357281,0.9167797820280147,0.8359816253294743,0.9509499208916845,0.9742669008727212,0.799061017360712,0.9148633287833926,0.6756638062128744,0.7919409499831607,0.6940476781309474,0.8477290543579785,1.1468961512198914,0.7886440532040856,0.9029104185000999,0.6946907514409456,1.0511225975705112,0.6953853777130532,0.6278918764821882,0.6636952476715658,0.7542737831110503,0.6652088205030521,0.7741959812856872,0.9722682912878343,0.7382533338216672,0.6839205870655797,0.6161159656835098,0.6941118870277792,0.6142493321048345,0.6427987889400912,0.6148623917642447,0.6017898180583912,0.851110791143525,0.6884209517350558,0.5427510559952071,0.5179624550529243,0.5972748375109574,0.6296635596718408,0.4362764544064112,0.3999358492083167,0.5175807271267155,0.41274811968357983,0.5600668576498851,0.4616645541582665,0.4956859051095358,0.7993892993783666,0.5511104542701284,0.6853361892339572,0.6259417697280896,0.5596852261512276,0.6291918168975343,0.5331240056741303,0.441208741412214,0.35095816328057444,0.39165178747627505,0.45030241881808053,0.5458805334481063,0.6187346739720806,0.7262897955663441,0.8934773658804485,0.6021497770689107,0.5992338043772107,0.51657115208192,0.5546388321827416,0.457428440559517,0.34287076811330724,0.3841180691283193,0.6135931488819365,0.4866691372744942,0.5574656026492627,0.577420849352775,0.7286054925008464,0.760127888237273,0.7401987908603326,0.6362579401978958,0.6524505170695523,0.7560150203787978,0.7453466852684268,0.6774405005353995,0.6453823230753717,0.683376135822133,0.8061831475130281,0.9607344705950681,0.7938257450253547,0.7193219276043795,0.7292466591023389,0.611372636830715,0.5741571062473714,0.49085445021905433,0.3901281326681778,0.3822118718038739,0.472982756140527,0.4449945296540056,0.6281042851998544,1.1951068780011942,0.8587526203530599,0.45680351565375743,0.3852635550831012,0.39972839886096106,0.4136424488819732,0.44935739505389616,0.5167492055696122,0.5539127456901696,0.6925640383745445,0.7080816875630629,0.9113413219199437,1.1752797854614536,1.0887041159872959,1.6223813342304971,1.4682922288650075,1.277650973682928,0.9309973204429245,0.6641422722581655,0.6541649588493916,0.6094457810083529,0.5309257758521371,0.504091187343568,0.5087064925994949,0.5662501819437374,0.5363117133798443,0.5833549290779276,0.9545034172703568,0.5540068926545973,0.6533450222605464,0.7810086874238066,0.8004345605066862,0.8003047046206784,0.907871597383844,1.1727119121244092,1.3676739593995286,1.2414227643710432,1.56264564333482,1.1052358340357353,1.258555686568976,1.1663463797565021,1.0319928581730258,1.1848262449514877,1.0484103392554955,0.9783852331092493,0.8810998196942105,0.8909662008532266,0.7320666575429603,0.6703488378013736,0.6497476262785119,0.7177254153271582,0.7779414857782034,0.7650544124098735,0.821659785688264,0.9600767043864697,0.9888432704593582,1.0352908960370917,1.208181820803024,1.3608597053575786,1.3067441267579525,1.3979905589491102,1.6899307751743964,1.5443636534720484,1.6932935989868676,1.4313216662817927,1.2506122911575694,1.375779997088515,1.3994615870517384,1.6637995741921345,1.4772472389496216,1.1973050848455904,0.9712649562171027,0.8980084586298086,0.8686007445505114,0.9240004939986425,0.9539291433223307,0.8479376091050868,0.9173647428843633,1.094563554278253,1.0578556670122172,0.991288576177082,1.1465090110205478,1.3257624996850925,1.1453877336731677,1.326552379238835,0.9295081699525557,0.9236672174393875,0.8839847508041779,0.7979662443206399,0.8344187623337372,0.8848315525592398,0.8150476937063662,0.7728747417059114,0.8191047564610208,0.783281490316315,0.7664154925728575,0.7929786477650614,0.9314268628445075,1.012533712604417,1.0026994675922156,1.091076465267172,1.2163744782570165,1.4040302205716275,1.3094200010911892,1.3472366969146243,1.218841379582756,1.0962136577767703,0.8970571679614131,0.9505945047954424,1.1337097591685943,1.0020951504125821,0.8890019118010766,1.0286185363633058,1.0516879603292977,0.8767336213118434,1.0274473029025455,1.2692283791122307,1.0097927728189866,1.0705219494631326,1.1816616745614756,1.4191952161631713,1.2445280662043838,1.1153262272155415,1.5606096634199578,1.36450469990187,1.532260588448455,1.329597665122518,1.1132830744744673,1.1166926955676744,1.1595536258647738,0.888347232701825,0.9250573192645974,0.874150308699682,0.8005379983392419,0.710145395603457,0.75331235098698,0.5829313198414311,0.6230546328646198,0.639963243263794,0.6674045311009257,0.8437402296837256,0.7955892505863227,0.8005081157912528,0.7819592041174682,0.6340787586430484,0.7740142651261658,1.136985336398687,1.2082878558671533,1.2608692141185454,1.9574122347958063,3.38289697394594],[0.5932894620786949,0.7337134498198263,0.8662874738939206,0.6246214001385514,0.6372222270399046,0.4982625625292198,0.41971539205829844,0.41746051025850095,0.4642925240346213,0.43473322802715464,0.44990315500130307,0.5012755281276877,0.514766841766148,0.5112635638230584,0.6036234877790467,0.5867898117433008,0.6355062333615111,0.6822027524243574,0.8143048587386997,0.7992166419810895,0.895842880837225,0.9919275820472644,1.2062404910777909,1.267977296175782,1.4673060868058825,1.0312513962728667,0.8126815833184194,0.7388071404263221,0.6723312677324462,0.6129253087551547,0.6636263899019503,0.5904696319167941,0.6203747886364216,0.6337750463554291,0.6313918018539394,0.6849775866429504,0.6596946014309103,0.7746977483749771,0.775881426240377,0.853084849985662,0.9046932578088116,0.8661657564306677,0.8843313200909985,1.0518923672739307,1.6981377229689998,2.1470353065006527,2.4508682718340666,1.4163880891807257,1.4436804732347015,1.7190576355089084,1.4482543081042858,1.8171631632836505,1.326621975557847,1.287276718858584,1.3278275041993044,1.0942377218718595,1.042651409988286,1.019322581570821,0.9197010228891297,1.4768054535740343,1.144619800188043,0.9478246769021363,0.8987739689844269,1.001916856520313,1.0040441606125283,0.8587110453453141,0.9826786163106354,0.7593241755523543,0.8590419767575944,0.7924439041827019,0.9181669416590003,1.2185421796067422,0.8795643912971605,0.9661584157470298,0.7899924034766923,1.1342920793414932,0.7808957589054868,0.7278534872877247,0.7441959695204418,0.8166715235652886,0.7350930693584097,0.8344805342302656,1.0222255374469698,0.7490366742658942,0.7455368412364282,0.6781269040446941,0.7632571152343633,0.6923048719783192,0.7301872829531311,0.7048403499953152,0.7111931817104267,0.9514523507077911,0.8017221712364595,0.6773727361912713,0.6481925937634905,0.7299517167671491,0.7392460898270696,0.5719162239479051,0.5133610316168048,0.5721951141372674,0.5041062101909499,0.609751164512061,0.5354121706543322,0.544682049133178,0.824024684571071,0.5796131683706429,0.6717392080668757,0.6113181672608936,0.539080421426252,0.6351844938547456,0.4954999103326995,0.46901316443399516,0.4158778824824607,0.466171727425766,0.5470370342650146,0.6219504568984271,0.701812970050874,0.7917389514309575,0.9705341050811257,0.68561370859243,0.6829394899913873,0.6136934740062254,0.6339852602739746,0.5567255965296541,0.4556716099632678,0.45026308788971653,0.6043893237562835,0.5020648409340632,0.5510007094990744,0.5832877993991681,0.7114324695009737,0.7356448296109447,0.7046283297285552,0.6206906113235873,0.6396841053332261,0.7421608165207209,0.7296085607567941,0.6873837803189,0.6736681692138267,0.7082412424473322,0.8253626123661537,0.9719376596942982,0.8372848935133137,0.7699065472587209,0.7783282444316613,0.6838873289733692,0.6416731656483803,0.5753940685727695,0.4664699472690252,0.4655943516035755,0.5006707024686056,0.4828474161951763,0.6087331131052548,1.185166489122252,0.9167024979636662,0.4981301855140726,0.45192204426360605,0.45364741816670856,0.5042459197007326,0.49684783193439624,0.5784782999055893,0.6193704587419062,0.7256571494007755,0.7306161715420377,0.8869450778963129,1.125695474541316,1.0274637920625553,1.4773955690200844,1.3238868971395854,1.1717948817251491,0.8864910934067841,0.6849328880274747,0.6882343397382573,0.6454428112830813,0.5834971713117983,0.5654099437956983,0.5747900328689971,0.6039660821362974,0.5992397521640732,0.6210883992833809,0.9534521004650627,0.5884985540419895,0.67087232749884,0.7712555325747946,0.796324729213623,0.793426952593026,0.931060509015691,1.1101207177039267,1.33572163627379,1.2249635463733475,1.556917132397786,1.1145744595605793,1.2210846257171506,1.127895901964798,0.9695324364433417,1.1124468890333998,1.0027659733976626,0.932101931816228,0.8276687602636074,0.8825450733403828,0.6838638853562182,0.6109791092393924,0.6037287580762444,0.6436841134381228,0.6677289685618439,0.6667657289731918,0.7407152531122092,0.8350105571332185,0.8332895437314153,0.897103710253203,1.0561741191056997,1.1701042975044047,1.130915232668903,1.2340321856254337,1.5174953263735607,1.386473077685803,1.5140887476805631,1.2875945967320392,1.1076691821950202,1.2084505035724644,1.2425385667437738,1.5810668825815852,1.374826463373605,1.1507115579314582,0.8373526788935167,0.7774134261889035,0.7696310966752307,0.8308779024113948,0.8390723292114536,0.749986270836559,0.8477223460469627,1.0142912228500787,0.962473771741238,0.9163736194604702,1.1162046953609224,1.2576496107900366,1.0921493181706667,1.3087846155338758,0.8692487573688504,0.8953603800202427,0.8317118574490379,0.7323499184526622,0.794977868161221,0.8226949256387629,0.8193837638888549,0.7395338967712084,0.723695732250039,0.7172015866073369,0.725108283370288,0.6766982726155804,0.7913946326776207,0.8909996510660112,0.8584530061705227,0.9184224925076114,1.0420080550577535,1.2437202192025412,1.1145327950493358,1.1388325669723551,1.0269308115302767,0.9179237524224263,0.742670252102424,0.8032860980111879,0.9635065863934014,0.8494210925084547,0.7638133997734285,0.8944481129603664,0.9207873531220477,0.7705105337387022,0.9116615343995801,1.168768582548137,0.9192289644680743,0.9783428600602757,1.0883180875247278,1.343429153882002,1.1817012906013602,1.0528516106441317,1.5352480073354309,1.354369692427741,1.427798092688502,1.2538291886748625,1.0148740349938985,1.0086699247580078,1.1407945697463733,0.8403871853974012,0.8942762181503172,0.7747862335917112,0.7376602632345961,0.6655157971318445,0.7145066096096984,0.5775337065622745,0.5826800609514754,0.6267219204158965,0.6178742522479337,0.967715076742634,0.7887924705626812,0.6865284175391096,0.6455350581357973,0.656878453682199,0.652397101573471,0.9338719026474239,0.8789877255844697,1.2519836243175837,1.7385899924875567,2.8857781864851657],[0.5671296810082518,0.7319722528972601,0.8767645378759267,0.6213275222228578,0.6380246000560182,0.5064897012535947,0.39070392623473615,0.3857976555025513,0.3992275037609856,0.3331840585548079,0.344357177882394,0.43345903603133373,0.402540478630347,0.3803714918670935,0.46373950744476544,0.4627413076172054,0.4896408105845155,0.5073762389905383,0.6286727016146011,0.6152787027185969,0.6937994033743323,0.8153426155530814,1.0034271344273742,1.0645066295432408,1.2975949801338342,0.8381344901912599,0.6319712673346853,0.5576612367531818,0.5077200965055498,0.47581270297753964,0.5061812962664968,0.4676944142395587,0.4962112551531508,0.47626691412732836,0.4805103866463496,0.5197558208137094,0.5199308686580152,0.6020116938445299,0.6145722782643278,0.6816328217995535,0.7293428298476418,0.6916398866788188,0.7071728980185228,0.9087570809069746,1.5887587246726504,2.1099636995593616,2.346847811663902,1.2908652552592617,1.3796656003274517,1.629624593629053,1.3316151726078933,1.7301433924961076,1.191222512428709,1.1345990517329525,1.2223780407191815,0.9435522882973317,0.9218951447670306,0.8787724879765826,0.7764936942717952,1.3592701153548492,1.024898650914709,0.7793827902219729,0.7293707950369225,0.8049384043985168,0.837493727045991,0.6780436791178931,0.8077039121779939,0.5801323533419862,0.7123961983055815,0.6371560592951508,0.7948459304668646,1.0911293632469454,0.7312430167412293,0.8285586793156864,0.6215362320769654,1.0189348923325028,0.6079771503605205,0.5577072595391974,0.5787114423603139,0.6523033012581725,0.5789658528391093,0.6836842991424094,0.9449068983000276,0.6417433970141586,0.6401942092589079,0.5449723151894053,0.5987831177202196,0.556362716004602,0.5534549966830268,0.5577272619389303,0.5434068724856802,0.8079696352179895,0.6537804144944427,0.5224222992260344,0.5059231471241374,0.5918640501188165,0.639584362582302,0.4499169639517329,0.4170720016112234,0.517224465284958,0.42982085296183103,0.572241329673761,0.46755584622742596,0.4987905232037502,0.7552176740722935,0.5432324260270445,0.6628596036065312,0.5874575438471944,0.5215729329159478,0.6202454878151783,0.4913677554627945,0.4303138713143612,0.3658034201321626,0.38497753796905576,0.4364040628408284,0.5042587375108981,0.5530335599802191,0.6130983727629559,0.7622526139798371,0.5222088588175805,0.5276745952881822,0.4789924312346662,0.4997071330994973,0.4326368456042721,0.3675680654817197,0.3866026790166353,0.602617404552509,0.47110903059159354,0.5154229430712172,0.5327633635759306,0.6719053755167642,0.6911319198197517,0.6498884376394826,0.5645064719853231,0.5772830126510419,0.6988545989038036,0.6942524780774487,0.6309419708458672,0.597951101120278,0.6094275932549864,0.6640693446147534,0.7968362995898797,0.6540375551394548,0.6125989160374488,0.617868036059083,0.5451337230553107,0.5176409485527649,0.47362752929257373,0.38760336889847113,0.4043928641335603,0.4673514414137322,0.4455227227246775,0.5925153678781889,1.13983056309954,0.8577530802884666,0.4573878578529886,0.39275779978568964,0.41204990979517553,0.42209417614342065,0.4401764317707371,0.48482959621046795,0.5022917638367519,0.6058030424556836,0.6078018354985172,0.7765049418599883,1.0422953413407965,0.9647312081446681,1.4436337384824076,1.3583492585758437,1.1986881310421134,0.865870194231635,0.5824215805176448,0.5840334846412063,0.5467070559833045,0.4844273061564809,0.4830136804774608,0.49223048068269526,0.5453610188111802,0.5076206293019616,0.5407701858871171,0.9000956082404423,0.5083333594905898,0.5839456270253499,0.688710904281027,0.7035075112272979,0.6897829339552789,0.7730436975786581,0.9974825488182534,1.273078476393048,1.1362724166002922,1.4529504033245035,1.0143461664961333,1.1528365827648994,1.080545701652806,0.9196695210904513,1.0541165558217864,0.9507227708834058,0.8804092988051623,0.7868284397060133,0.8509061819971374,0.6424250669432434,0.5858144168621163,0.5822864413348076,0.6026735040955872,0.6243095109162716,0.6454642779312618,0.7111392798218421,0.7833171868210196,0.7933835591680535,0.8723617350514621,1.016953590322187,1.1081696431886663,1.0958375580134223,1.2169435026065372,1.4515423766262165,1.3338957293503761,1.4166964537632467,1.1776374777765033,1.0152919543072696,1.106588816767456,1.1188910505435496,1.5363946353883282,1.2837173625192357,1.1463579123950283,0.7504518491763649,0.7034710253727597,0.7180862525778589,0.7625095775635748,0.7481304087764888,0.6764092618032397,0.7896410280867872,0.9379823342354028,0.8869453233142112,0.8501667889688452,1.0635480820199514,1.1554436913880621,1.0073375214466807,1.2611572785642007,0.821301711359342,0.8449627213476174,0.7969891051016188,0.7013174815390526,0.7752104223149398,0.7986549258740516,0.8064448230161734,0.7250332215005353,0.7045209480293504,0.7087997252191717,0.7198514587524364,0.6555124131272067,0.7669672068245185,0.8666644283112924,0.8331649671413485,0.8794486881546735,0.9946363258175874,1.1944905658304754,1.0608645700070354,1.0706918865383195,0.959193049775056,0.8515744321157481,0.6929307241491085,0.7380285535848393,0.8732890735175832,0.7799939407389315,0.6975112584165181,0.80219880601533,0.832440719663254,0.6964058557307892,0.8120293164492844,1.059817186703872,0.8232093505556373,0.8797721409164679,0.9644463984051731,1.2273972682629863,1.0753684102949348,0.955406777129499,1.405024638490795,1.2997994522954281,1.3166502504784476,1.197572294877834,0.9613099250383452,0.9913684805639208,1.1705317165674778,0.803346505616471,0.8245333433767983,0.7482774514593751,0.6888184754289689,0.631860910609227,0.6829952215458073,0.5541228654414847,0.5723383773937354,0.6169024827725798,0.6072810507921478,0.9513989965073091,0.7743441816608474,0.6941350882670702,0.6583239405066666,0.6247006052248996,0.6667732376942176,0.9445376864096005,0.8426749147527532,1.2949748187335726,1.695297102769423,2.719464367805738],[0.7471300719610684,0.8812460171724948,1.0341414115035334,0.7363996440306627,0.6800880454485384,0.57587752757435,0.417752880354128,0.4346442999464407,0.4228651699187099,0.3815561908586198,0.38807075198345314,0.46557573857653245,0.46693555316316987,0.44091099969459085,0.5292067185190928,0.5485493908901645,0.6027265876133135,0.6364872641570247,0.7619406869742982,0.7699664498445349,0.8555599276846882,0.9698942436133448,1.1852721356915759,1.2419344617162036,1.4299288658256224,0.9831308519083076,0.7867263925878951,0.7027139776886955,0.6437621991399342,0.5799086880793005,0.6106242080117632,0.5562020401043638,0.5746306937612725,0.5847433344061383,0.5992392965610636,0.6470164311644191,0.6512289783918719,0.7664763009027132,0.7769826332749364,0.8646906373954066,0.889799884802802,0.8584319370847298,0.8860812240659374,1.0448404244465495,1.6846003821468576,2.1780857362837205,2.4443397282416206,1.4057810594519475,1.458493078925998,1.7435705665563526,1.5128402459910604,1.7489501269714307,1.3238858003785017,1.2294336458522472,1.342648787694964,1.148872623069001,1.1166931587070197,1.0145948653233943,0.9757376660600107,1.4850687363189632,1.2166054871486343,0.9685656903636862,0.8793397808342077,0.9791922212354036,1.0135653242653164,0.849535109667579,0.9243535733676616,0.7225000398854864,0.8181220812726402,0.7347519032071824,0.8789990311613661,1.161776182835185,0.8141380384802573,0.9093740820740404,0.7300060383247904,1.060995053297351,0.7543124695142185,0.6942585939007863,0.7280506077349408,0.8043222773671586,0.7311555328884742,0.8265797121409939,1.001609906906014,0.7829092353498996,0.7112423452964717,0.683763678625459,0.7516312481638221,0.683364194130703,0.6979776456369107,0.6861115003508799,0.6709260686479385,0.8998822717756071,0.7444999041518887,0.6042460480243265,0.5843471260880292,0.6413503831871132,0.6929549071328518,0.50409493634953,0.4587159294354338,0.539278223923897,0.47396026266699937,0.6046170927200806,0.5437460683239411,0.5701263533287894,0.9034467720565496,0.6265291763660545,0.7190365923448807,0.6619385985636693,0.6081546318899076,0.6717591429413639,0.584302814997534,0.5131343531216446,0.4157819844533942,0.45882514700200766,0.527162525431909,0.6048813431635823,0.6754680822590656,0.7487469367396585,0.8753163777013933,0.6418445814489724,0.6319906941891791,0.5702234536421114,0.6000702887403985,0.5177694587388698,0.4052767620892088,0.4474114820742596,0.6620998222641431,0.5292285955750746,0.6196854237899518,0.638840436309039,0.7796836901034628,0.8004799547029128,0.7759718031974315,0.6906293995509662,0.7004491649067718,0.798141933920136,0.7827519684773575,0.7265505723754876,0.6924965389064894,0.7306766345088128,0.8206897945265096,0.9763580884752722,0.8074411865362864,0.7548715709370489,0.770794511083735,0.668111195254584,0.636512676999107,0.5638063523121729,0.4770901939356192,0.44896911608542434,0.5028290650848589,0.4755611125794215,0.6508319162357312,1.0835212306095918,0.7996396144937981,0.5065437331496048,0.44756406325193787,0.46417018974145163,0.495946969324187,0.5249435769724686,0.5939660722597964,0.6341236505961911,0.7563241793517181,0.7755467021058388,0.9827140698706334,1.2313627152813094,1.1320243180829181,1.6659956418399633,1.5151416596830776,1.3314540515655273,0.9747836506871645,0.7112810702542135,0.7056127416597471,0.6752908149869448,0.6058281190593725,0.5946677046162927,0.5865568432408513,0.628594608027394,0.608348811665131,0.6655285744560796,1.006543514794132,0.6392590036909012,0.7289446159158566,0.8462503351382565,0.8565594675663676,0.854911033750658,0.9497120863330826,1.2050362073866268,1.4069691764401675,1.2802845144884205,1.5604014785861573,1.1295142269250835,1.2927871239360964,1.2100246752929904,1.0725086765468153,1.2096992647484792,1.0824084132194465,1.0017138302917177,0.8915033122760004,0.9387818822722961,0.7799969727027846,0.7250935482277987,0.7084418316061167,0.7591564379746752,0.8161898246062512,0.8178957646081181,0.892913065600619,1.0175699799747424,1.009518379649916,1.080862435341432,1.2752329092232142,1.3739471143635824,1.311010631302741,1.4608722461032664,1.693099783238675,1.6379241982813546,1.675388920430729,1.4829377609979488,1.284279476859996,1.376108513692362,1.3840205105499057,1.6583093478074495,1.5056532410213999,1.1375077907362106,0.9550468577783938,0.8911936285768898,0.8882343250415579,0.9299523935769228,0.9262904182062603,0.8589260515261411,0.9191067916389715,1.0650214098346815,0.9924801772179954,0.9656299079862849,1.15926965269896,1.295618599535994,1.1220607085597776,1.3293918608056814,0.923083920238134,0.9725363002599876,0.9029776565919069,0.8282196491755942,0.8663997481107106,0.906393448329872,0.8970131185479779,0.8334561749989409,0.8642888374893891,0.819732813851705,0.8199817740461774,0.8216099005709042,0.9177197540968015,0.9832248661515903,0.999363619466058,1.0691900319457248,1.1629375867906628,1.349364635102915,1.2843570519436127,1.3034660041229191,1.2009427898828617,1.0800542518375178,0.9056175259876728,0.9450521076277701,1.1142051792081418,1.0169974670646413,0.8989128894560071,1.0222617354857884,1.058172583787688,0.8880375963920945,1.0019512606630772,1.2543282082959217,1.0239674851569596,1.0309724973908798,1.1250740617061499,1.3560793751059959,1.2157018539897804,1.1415748796688074,1.6162785115412772,1.5350352067112045,1.6102560190608972,1.5298320121434505,1.2376684035064303,1.250460553128444,1.465432739927981,1.0400521613164575,1.0073494817079809,0.7546486697832531,0.7938029211025897,0.7457847094672804,0.7925908364857223,0.6453886400845239,0.6904551835929658,0.7194019717513233,0.7267908262862925,0.8899733083003817,0.8497572469912085,0.8867597196455036,0.8160446476773474,0.5931861667946715,0.8035828436314433,1.1947314903635013,1.095643201399545,1.3138850752438014,1.7395069087973478,2.9674593558858753],[0.680377774063314,0.8280590522215836,0.9904036455449173,0.6785537269403986,0.6860817852555866,0.5610906144430432,0.47443713377045005,0.47934318843997115,0.4945437599465394,0.5218250798092322,0.5389424392955113,0.5783902859542127,0.6324308732344829,0.6330151267133828,0.7430003856152865,0.7455796536872215,0.8130953508045636,0.8707566075734103,1.0048312231168695,1.0117906361841238,1.1138147675546342,1.1836585126572745,1.43861302400513,1.4875409235522408,1.6665775306646542,1.2338312422828546,1.0178536440986001,0.9398407050047066,0.8755773927832755,0.7926788086631372,0.8278315635955403,0.7517808799815245,0.7767595596646243,0.808249809680639,0.8149067650088331,0.8714087938487526,0.8567216459253731,0.9998081346336204,0.9866787418329325,1.0919642627996546,1.0967635077558329,1.0804947380093737,1.1017824529795022,1.2260156043206911,1.8130673724941797,2.2078670823290887,2.552297384382597,1.5549550527070646,1.5334974089971174,1.8369992896106853,1.6392052566028779,1.8720900861229117,1.4963656737114834,1.4582427703061551,1.4964200010772097,1.311170028900364,1.243235397659552,1.2255147085698914,1.1519399850913858,1.6102599084015174,1.364147637581651,1.19155119092878,1.1176845044465182,1.2271053036677784,1.2383068420857302,1.0894124600666744,1.1834946528672468,0.9713482519324974,1.026092435427808,0.9631201717613529,1.0792095211982602,1.3557177803017941,1.0330747771798485,1.1181996264023204,0.9819405423433633,1.2358346967768923,0.988506767178164,0.9316252868589747,0.9605677642586993,1.0315039442061305,0.9496317711460758,1.0482767492277747,1.1377418190081048,0.9546572797288266,0.8935760117398521,0.8749772993942986,0.9723422343918822,0.8822198563634902,0.9319148091493712,0.8951591626539828,0.9012606019330596,1.0885022882696342,0.955900485043546,0.8302856460681671,0.7925438058282065,0.8447523061406316,0.8380960369673942,0.6816739213665333,0.6087135421469997,0.6231711639310881,0.6284366070981598,0.6855288728577428,0.6990892900455021,0.6788109108940537,1.0098629245399044,0.7149422333179931,0.7615454326221,0.720211864319202,0.6579887565438713,0.7209765770111632,0.6073040628333866,0.5958265247209735,0.5159925466818884,0.5941011452024028,0.6955141006516022,0.7856592442786776,0.884185313384878,0.9647645111251365,1.1230660612275374,0.8579907348325603,0.8322624884994773,0.761652264849747,0.7791731467888199,0.6945794926460419,0.5473468206190371,0.5584894240682997,0.6747181069410154,0.6060358357397524,0.6861552766350962,0.7253283626355413,0.8314489921740372,0.8494203140696645,0.8421091476401431,0.7724498307412595,0.7879585891138219,0.870311922886545,0.8427626293611991,0.8065844763452151,0.7896536358795814,0.8637537438609528,1.0091773578971912,1.1588771338143384,1.026289845239649,0.9513208047252103,0.9744601198122762,0.8627770327469707,0.812167218425285,0.733455344610993,0.6267662386649363,0.5624997689443882,0.5613532341527702,0.5297951505315197,0.6618390958302022,1.0816358317240846,0.8568198315875439,0.5722338166323923,0.5503332336543479,0.5561180154957721,0.6430007970221973,0.6440630459805421,0.7481807213723692,0.807242810900704,0.9148669641180653,0.9414313220480302,1.1015777958752628,1.3045361666914004,1.1797858102339502,1.6361953770809297,1.3940939151686855,1.250876590962833,0.9857003969299104,0.8564044672577182,0.8574731471003976,0.8280007305773455,0.7710126396532841,0.7356255717716784,0.7413631762217193,0.7403456846996677,0.7696372480960163,0.806510013849363,1.0992803860901401,0.7670700521335334,0.8452542144160006,0.9336264566877516,0.9677703852348836,0.9742460358332774,1.149796340400794,1.324518935791291,1.4601776146943295,1.3584563837094263,1.6792759890458393,1.2534968216125706,1.3661006480749582,1.26158353494602,1.1037210170994194,1.22110487836848,1.1184354682898163,1.026710798880862,0.9081115887888644,0.9646622758825387,0.8248742683923446,0.7498850868471643,0.7304316164956849,0.7902192886654055,0.8331461469991036,0.8089090816875001,0.9008295528751148,1.0298742669511998,0.9852818864976652,1.0400468535239216,1.2484838506660458,1.344799646099491,1.2559303402991449,1.4023886842416022,1.6745490321195045,1.620210954548905,1.673809188703565,1.5444111351682714,1.3227761277171994,1.407336715814363,1.449908904404448,1.6821339647399576,1.5780461863761406,1.1709946680409036,1.0146907624468102,0.9403770224701332,0.9245099426189947,0.9951099700386533,0.9901334385749101,0.9249343504522359,0.9662579941890131,1.130369498823541,1.0447745466516587,1.0129732510115579,1.231832910736795,1.387751875281854,1.203328804730089,1.3768012093388555,0.9566072107443406,1.0174053592235994,0.9288029068275196,0.8577265479789248,0.8816819776365326,0.910579810784695,0.9286396891769644,0.850552697535165,0.8710847773698722,0.8161216713863931,0.8215229103744177,0.8054394817856169,0.8762655524052342,0.9340198165658299,0.9526138854259244,1.029916870232216,1.1094024020554527,1.2912133294205728,1.2409854816795451,1.270753547652424,1.1857618086579746,1.0754314966376242,0.9100978221018733,0.9720749471900987,1.1390495453342513,1.0349989288392893,0.9412681628393519,1.0819201676231849,1.1118728328871808,0.950598586402832,1.0875144353930792,1.3490665610760952,1.1113562931649879,1.1083706489663183,1.2342915749469838,1.4584840468311933,1.3223522581732914,1.2428411056994437,1.778460386960314,1.6490706280206167,1.710559721139033,1.5748405532893723,1.267122747513777,1.2290476916807072,1.458223313618781,1.0939802973518267,1.1115651710093035,0.7803686683295236,0.8345993385354875,0.7754100569762815,0.8160129302347543,0.6864000163107336,0.6942992015101208,0.7307997375045634,0.7149531584129508,0.9462008598993605,0.8545762809845915,0.8413501891531371,0.7572514750233934,0.6153862644880046,0.7451807938981879,1.1064888248419924,0.9710710319214915,1.3197171428013925,1.7125518662396249,2.8785450552810077],[0.638351928157142,0.8143337318790074,1.0039737430916424,0.6854848470793293,0.7869486334848307,0.6659774711685746,0.625718585494348,0.6283766978443687,0.6206596748606306,0.6388549315088486,0.6473382657035465,0.698517645633012,0.7316178953139142,0.7116084909378337,0.8139493908915232,0.8190257450004456,0.8614988177187857,0.8854128370856719,0.9663703265840999,0.9791787961101601,1.0405648041722242,1.1077854165367678,1.3231870429334371,1.3517986048363768,1.5697453978950582,1.151374597432065,0.9747012788907679,0.9361828187296047,0.8991748614417843,0.854096959918042,0.8717532043254578,0.833249867492489,0.8567954389308141,0.8601387661642454,0.8661635963100821,0.899316949328267,0.9120581800872356,1.0052107593918929,0.9777966749504372,1.0636222992425652,1.048881318863974,1.0253973541604295,1.0329569278872177,1.1456949128865106,1.7414026666214453,2.16885817672696,2.472641445702293,1.4654198201936692,1.4810997717135779,1.764431790215726,1.5287850651738886,1.8723631096037971,1.4347259549334201,1.4392213802898604,1.4654128722112523,1.2224233566751657,1.1541340758262308,1.1832133809881067,1.0779056979165773,1.5386269001066306,1.2862787759200005,1.1179491990841681,1.0695661418734965,1.1412255111769771,1.15499637146436,1.0341880865432829,1.1228162120383778,0.9461439604325503,0.9936110598213006,0.9609868821365541,1.061943042304644,1.3300460490195294,1.0157152959552278,1.0809062346646126,0.9693957723308528,1.2148939067371964,0.9684396577203302,0.9266376312178872,0.9564355595117972,1.0139196190812287,0.9611649590923702,1.0538374468576466,1.1705245062095424,0.9635608732656331,0.9134542180499923,0.8995641472922266,0.9718396496007751,0.9171031470054885,0.9345419679627188,0.9149091336884102,0.915593262038628,1.0935828526816667,0.9818161647367556,0.8863740016259007,0.8576993260234446,0.9120812271217362,0.9106697793361296,0.7783756770291503,0.7241837176779421,0.7442369218970182,0.7485356530098386,0.8095090038769859,0.8064994839155,0.80400993890554,1.083748032280618,0.8197135474311299,0.8517848573672,0.8055693773854459,0.7640806421284442,0.8420418401301941,0.7234067699946901,0.7210828235092777,0.6623117942604724,0.706820515827867,0.7760207684672397,0.8330222523522312,0.9044979120054438,0.94335129744226,1.0672623073183067,0.8551345970924176,0.8324393638132668,0.7945361171337062,0.8052686515961072,0.7663822730092694,0.6647917232022125,0.6733553550429235,0.7691096235440046,0.7290497958228769,0.7929550208061177,0.8160917462321532,0.8763355589111187,0.8848574043776201,0.8539602407988565,0.8211125157392215,0.8214552760370462,0.9167118340112997,0.8772570775964678,0.8566596259730762,0.8304891382956723,0.8863975095185685,0.956570292375865,1.070237325193699,0.9748244142333871,0.9428656900956384,0.9621888435065276,0.8921217038317472,0.8568185937361872,0.8167819865292257,0.740013831874205,0.6913830075746519,0.6964723037814785,0.6693062512649516,0.7650181972363282,1.1156616288281325,0.9459247852144285,0.7021687090210366,0.6807981573087477,0.6982800142210206,0.7585347436929772,0.7600187636282213,0.8328353761916376,0.855961679660482,0.9272589782835939,0.9412160740656331,1.0610643577194494,1.2359648707309225,1.1228279556325096,1.5065172561895468,1.296845186509318,1.1938539085760471,0.9712060921203198,0.8861431652693412,0.8941981311099181,0.8742009639453934,0.8317759486913567,0.8169303004319851,0.8180602662492126,0.8073975449645667,0.825562499993333,0.8651484102244694,1.1194882000631656,0.844182112933964,0.8739729613724458,0.919641420684984,0.9617908322433336,0.9366243987018439,1.1112839081296828,1.2305811674672698,1.3900963335152237,1.2897808712789849,1.6276559972973268,1.2248699452791312,1.3123749584528588,1.2179033717528354,1.041224226956699,1.1235343986556026,1.068321941164619,0.9955054942936156,0.9020634552202296,0.9999114898312905,0.854343340823557,0.8040875475602443,0.7954664566324388,0.8119276081247488,0.8306855560396051,0.8397145040955248,0.9200620331224311,0.9891385674075048,0.9419720372660774,1.0048396804633533,1.1787665497391506,1.2240839966451702,1.1678693669691738,1.322777351296647,1.5368836343596237,1.517839048459294,1.5142294797385032,1.4011393738883486,1.210983596166257,1.2684963155075892,1.298795082095553,1.6324289224239927,1.4927825347549284,1.156716542130433,0.9224053477463877,0.8913537448767911,0.8980793142401093,0.9437360456406534,0.9288948016485227,0.8689818390922908,0.9285100434750485,1.0559381751426067,0.9473074744354819,0.9554712155621514,1.2096180047193572,1.2903421927255216,1.1319707634236933,1.3522369656420998,0.9336347688517631,1.0187160989552846,0.921675778809415,0.8681386270357568,0.9224280783804355,0.9330547358945182,1.0083484885116265,0.9092871124136904,0.8915609634986539,0.8778047491121236,0.8951577175832415,0.8215810087055538,0.871767769898679,0.9333163734123212,0.9271124259872264,0.9707525719564923,1.0331693459252507,1.2061375605780067,1.135280052456982,1.1468426985826503,1.0741546006283538,0.9823387104632526,0.8636175771749263,0.9083277918881979,1.0244794505624726,0.958665639681271,0.8891909470375227,0.993168143510444,1.0214029059197571,0.9019796503253434,1.001408551046351,1.2416470343726456,1.0375167738026618,1.0305571543881993,1.1386055179470214,1.350747437252725,1.2389998321972975,1.1791845698589083,1.68610107693876,1.6330220705850946,1.5686302299508978,1.5121936417516209,1.2146458149238504,1.2107407165445982,1.5219913149582465,1.1234713357826596,1.1198233097630164,0.7687220013810313,0.8400189117392043,0.8220990772655904,0.8525437724172025,0.7884616655411426,0.7764278085580665,0.8157761986292585,0.7778970177310384,1.100934594870131,0.9170224715741027,0.8788701484672833,0.799613803295676,0.7193663292200262,0.7806714457975878,1.0552158254626804,0.863274321830677,1.5570023124548178,1.8564585790269048,2.596068014515007],[0.7709810322923486,0.9001285003647822,1.058834540901409,0.6872265600467126,0.6862825944571153,0.6216431343884081,0.5844744827279276,0.6311710280960994,0.6172934893241341,0.6917158612777169,0.7095241327447255,0.7216426071542813,0.8171168011608161,0.7920879173774906,0.8851535623024454,0.9231742296185292,0.9889548281768354,1.021812990914778,1.1067173391655845,1.1279278255508614,1.1659604716688448,1.2569395412573003,1.371873071333899,1.4032043840835167,1.5533397306280052,1.2366597186602195,1.1219807317514712,1.061027776206771,1.0322220259818016,0.957857054292363,0.9970459379965555,0.9066370010718934,0.9291485316462585,0.9464654895928917,0.9599333699381084,1.0088434708777467,1.0122653989439276,1.115696778532731,1.1156522786442762,1.1452604577356806,1.1759267737269865,1.1707389257986907,1.1897157320551595,1.2752860626685019,1.84971656351804,2.328215407908101,2.537477818816286,1.557998492875907,1.6169108447029694,1.828123280400565,1.6248314707600828,1.8125469823073115,1.464424000079478,1.4229288272726368,1.5760007653374277,1.3964798597504944,1.3943450081149606,1.2755301956616967,1.2995442561325845,1.6693376162070206,1.5598496383587912,1.3178269313274282,1.2295346905253,1.3110064250557594,1.331149138484437,1.1936979637557468,1.2224590426112976,1.0940048326473673,1.1478363878134286,1.0765112026548134,1.1726693402188366,1.3973552866094254,1.1230577397592105,1.1883416757430443,1.085563952825915,1.2957985829801277,1.1197265170488877,1.0811105659742992,1.1055379950098867,1.1536148033626812,1.07615361408823,1.1062086250528065,1.2203259408400524,1.044778446705536,0.9415365121417576,1.0234567895355948,1.090013093890313,1.0207249812821473,1.0605697426798555,1.0557630253718393,1.0495634970691017,1.2193277950833206,1.0985700600455701,0.9704087396207092,0.9486881453006754,0.9699347265947246,0.9999815712906106,0.8414661964517474,0.7728270255531624,0.7637286459896095,0.7776709716619195,0.8070413779658816,0.8373126731261683,0.8195132113390783,1.0433244121194183,0.8416830037088626,0.8597302406103294,0.837505218640629,0.7744033811376572,0.8279714338808513,0.7264715364587309,0.7359164960480237,0.6847122451345931,0.7833820743153233,0.8915499097160842,0.971387395660579,1.023823738911286,1.0790629763834487,1.1313494974590848,1.0231983189698577,1.0038570507499667,0.9291935602250062,0.9466033124083412,0.8481634593855287,0.7012366163044693,0.7590112358700997,0.7655221776903468,0.7645875192225499,0.8263432780447111,0.880180434372637,0.9503463219396624,0.9446270473826335,0.9455891815828766,0.8912270927576332,0.9216322256434117,1.0596956279537597,0.985343649125327,0.9978480109516382,1.0435943364805296,1.0769075467669866,1.0988046274681702,1.2190820212322997,1.1069724925333946,1.0863962014180415,1.0991530413470558,1.022191365567657,0.9934222134478041,0.8976393985350882,0.7999324864709625,0.7369280984750505,0.7169530743626441,0.6818018290495395,0.8320203873834972,0.9952837813805409,0.849134270309479,0.7372562133253227,0.7273885292697858,0.7284245905063188,0.7938720879812142,0.7873498858110493,0.8863863018688068,0.9870798546642704,1.0950742112722343,1.1036702230372244,1.273472631926923,1.5055349393440343,1.3581585801503275,1.8414099096629637,1.690256314316985,1.5518773825163628,1.2008679871061283,0.9480926931324815,0.938977481301344,0.9526028926787617,0.9002225488855915,0.8762957711986756,0.8945150128405193,0.9113961785711701,0.8824439783939425,0.9466928390248119,1.2672339476385743,0.8901941950770004,0.9512606596147184,1.0574473212393682,1.075857377667421,1.087228917809007,1.1923961576519784,1.4250659215522288,1.5755646054354544,1.4065155303643888,1.6649349878283803,1.3047942298961452,1.4384206412684397,1.3485105456447977,1.1781737168131041,1.2333172388723028,1.1518511670377238,1.0588883773917173,0.9179862083400049,1.0388126876021844,0.8708451645136187,0.8221264163746551,0.8103253852103588,0.848514958636461,0.8846923292393211,0.8866816868874545,0.9989159941927397,1.109993945552685,1.0424819593202752,1.1168581282965577,1.34413842467374,1.382980133852603,1.2882562008662735,1.4784477666670768,1.6939151610309044,1.7411725192342302,1.6741129292936057,1.6246365642845453,1.3909423376912304,1.4392993102233054,1.4364992714284084,1.7430127064968022,1.6235377854676987,1.1737055851215668,0.9877582973567575,0.9322017967460771,0.9269200143247248,0.9522606125233914,0.9439250379684314,0.8954061269032757,0.9271212537740526,1.0475249539651006,0.9466952963895789,0.950046510522995,1.1932857163853081,1.2597300934214735,1.11763985103622,1.3402487688781761,0.9262810065096234,1.0489495868742078,0.9317428073397798,0.8800068779793018,0.9334604139171964,0.9400052536108149,1.0146588754081054,0.9190642455232597,0.9227302133656853,0.8949682772340235,0.9182228093000598,0.8686532067948802,0.9157249146273181,0.9584562035025771,0.9909912046051407,1.0511209137883477,1.0990307061188018,1.2720054421530569,1.2492178409990844,1.2617987298277318,1.2020991832411976,1.0840559366239488,0.9447965602721139,0.976897937183757,1.1405832333347221,1.0724394972407225,0.9569050712036876,1.0921837749031522,1.145653081869284,0.976395514530684,1.0608552006761376,1.339074235121431,1.1518940816630057,1.0597318736026182,1.183646535194606,1.408990046320307,1.3292935385828053,1.347742848551854,1.8467483886351224,1.9385699528910771,1.8112155894949613,1.8159258648850856,1.4321279458031684,1.4062318614407943,1.8374322159181227,1.3794175514515001,1.3601960903216794,0.8352632784794403,0.8885293436576116,0.8409182332490934,0.8764504848243987,0.7765838668566516,0.7920359875422714,0.8441189549354698,0.8030273346258172,1.0280735920727517,0.9916476221505723,0.9335639551261486,0.8379893517511001,0.7034886468973085,0.7965002758697056,1.1752813573298695,0.9600515516269367,1.4973930739230783,1.780224426706932,2.6285976846285313],[0.7392017928695535,0.8770264536330529,1.0735066160600624,0.7087021716646956,0.7347040598074213,0.6416307582022579,0.5355871110446417,0.569256989598036,0.5414280490611473,0.5730669761808247,0.5875121448222979,0.6357464190776103,0.6848464504669473,0.6627536329576598,0.7818579632115227,0.7940567849491836,0.8466869178350568,0.8971728448015881,1.0120324421133913,1.0403719505776248,1.1270698552565317,1.2035510736110855,1.458996367621521,1.5105035160677438,1.65265402261736,1.2217701389628364,1.0413718180961882,0.9606968473625906,0.9134990231623273,0.8448341582690923,0.8718927064196054,0.8159311631464132,0.8380694913101983,0.8638853453999126,0.8794232449569307,0.918797365864319,0.93020476522235,1.0605997816159967,1.0434292370118363,1.1495497221273796,1.134025857237417,1.1153567963851678,1.143282489246326,1.2452347640410621,1.8284974924670483,2.237589625063674,2.5626564809286134,1.574879912423914,1.55034779516713,1.8482851560697107,1.693357383344191,1.841273595186419,1.521601101385745,1.4571985905920204,1.5371357798337992,1.372428340020259,1.3073584598256038,1.2642283582047662,1.2202695171386702,1.6248084042971411,1.433708744383323,1.2378359167441884,1.149293972987453,1.2642932307747516,1.266692357191068,1.1281634247702172,1.1779883659891932,0.9991437680884705,1.0321713147364715,0.9719371807137775,1.0744084062007058,1.3456091539671768,1.0192639873252385,1.1082119654282516,1.0020434866653007,1.227223920026062,1.0293045879632021,0.9795501702040501,1.018165515532867,1.0798532498680689,1.0173297006396032,1.099331567375954,1.1688567634692866,1.0566751116324105,0.9339663581780352,0.9505475400237045,1.0302243427402906,0.9500784692258034,0.9796030395796828,0.9566125595084758,0.9429434031933125,1.1061984165652639,0.9849583656980818,0.873365430731177,0.8416553149844556,0.8749730802315003,0.8989470402072469,0.7344904457284394,0.6644658051721285,0.6746423327367996,0.6936165400743991,0.7536573626557171,0.7870882787116685,0.7802774678392224,1.127363747160215,0.8239600704344908,0.8624353498438245,0.834023575875779,0.7858428307189765,0.8241174909124358,0.7236151417797514,0.6879863024946555,0.5939026755930662,0.6369479575627103,0.7336126588931626,0.8015374417798253,0.8964556316398565,0.9558171267893841,1.0817060179262903,0.8639778539439937,0.828376499456289,0.768342687994611,0.7645062797508414,0.7062678326226306,0.5747240280754208,0.6061838962196705,0.7612643202076115,0.6827021144759049,0.7953473865827051,0.8252848428437638,0.913416380606786,0.9264599169563313,0.9225736365291994,0.8647512441784803,0.8699318201837235,0.9336261454560333,0.9060333313732323,0.841916273975631,0.8116715444691419,0.8994256670225622,1.0194348596584895,1.1816129291324975,1.028854639444641,0.9729027347966978,1.008875112828443,0.9031462895052002,0.8524561234655632,0.7856828118661878,0.6981982546460404,0.6247712602963678,0.6490745333344068,0.6060230882592879,0.7599362092944689,1.0131319894033617,0.8222651644654428,0.6625750747486339,0.6296545154175106,0.6542532637330885,0.7180687110976591,0.741041807853245,0.8205797327214861,0.8771707892801385,0.9709422140213726,1.008761142574165,1.1849488697943944,1.371051893372006,1.235488828554344,1.7098126681934935,1.4415285702827967,1.2943162968483084,1.0264799582618493,0.9096302586384177,0.9129681012308483,0.8990906120597115,0.8449211384968954,0.8188121988169498,0.814973042246769,0.8155955508026304,0.8375187879989078,0.8978845311359636,1.1594627919048468,0.8598484102148956,0.9367503788161267,1.0092805857319376,1.0359226701869386,1.0343038238628923,1.1944034237989483,1.3982031748042278,1.4906189754974624,1.3889888685374647,1.6855483233766073,1.2819271399143928,1.4090938367426864,1.3089836890668454,1.1552577815173593,1.2570435031695617,1.1796788329859422,1.086874806104262,0.9586594962806693,1.0284090085462267,0.9384092377345074,0.8653691545530935,0.8404667880833614,0.9237188288367222,0.9608956097818206,0.9379072967998813,1.0441251507804734,1.1734482030856053,1.0966054221464532,1.1482791805940744,1.370862000434818,1.4278329569909205,1.3194401512224976,1.4920584066621885,1.7141934719324885,1.7411665016183009,1.7118413773565115,1.67790285816644,1.4537117816551048,1.5076198902824283,1.5391138583448492,1.732489407946461,1.716250151295152,1.1977275472477402,1.1179045093940194,1.0477195163931916,1.0312020581524615,1.0822008906509026,1.0711727143863918,1.0427757675992833,1.0269080945314975,1.1608431365521228,1.067587511298658,1.0543662098002817,1.3045074477269056,1.4260186148984182,1.2421118036541565,1.3985492510811268,0.9968772746014924,1.096624863705333,0.9903347678350735,0.9506453644135778,0.9578736018810188,0.9872400938770937,1.0320564367255818,0.9482612954211413,0.9889221097657417,0.9264958383297602,0.9304273905859131,0.920269608425549,0.9600102408447266,0.9887422545780101,1.0330577458484178,1.1051501762771891,1.1470180472182496,1.3121278224050668,1.2970573632845377,1.3213192260099331,1.2656859912497183,1.1655445381461946,1.028418097897357,1.0720538680246496,1.2386026176877059,1.1577596089618505,1.0601345760233922,1.1987345572747334,1.2371257993134332,1.0827811790580812,1.2036497155724295,1.4515187297013274,1.255159799735714,1.1896654594575107,1.3196376043569218,1.5285708334982928,1.439193787579767,1.4301153117903302,1.9867875750880881,1.9404413251437493,1.8767987817289273,1.810830475739892,1.453494554267875,1.3948667020806105,1.7371452910746252,1.3717164152431016,1.3987876215836108,0.9116200351786274,0.9581973694432612,0.8890531537918985,0.8960443623921179,0.788018285946502,0.7996100610000964,0.8283331030379442,0.8228626605438706,0.9844372243767578,0.9455056354502932,0.9814634724176342,0.867329508938626,0.6600521941286426,0.8186929671065564,1.212662634957315,0.992605068913551,1.4511629333056233,1.7742190275898677,2.7582884154242744],[0.6347600363996778,0.8086692639226143,1.0129651392445398,0.6661414947923772,0.7965012203747104,0.6946100954444558,0.6943116521015469,0.7207537315729438,0.7240958577653807,0.7915359928059739,0.8148356581371787,0.8416483179250156,0.9213344176120011,0.906551550273402,1.047465165208553,1.0538545062285778,1.1159452823002611,1.176358065533558,1.2815416564089201,1.3171515382236159,1.4003049902900768,1.4449545280785272,1.695964886802628,1.7337023665812088,1.8987673915065666,1.491824057293293,1.3038755163761826,1.2358995334215912,1.186536228819368,1.1169478856844937,1.1482493877721607,1.083208056258259,1.1132099854659432,1.157191707795856,1.1617029591977852,1.2048404943928541,1.1968232473678397,1.328321457701273,1.2876847968430631,1.4014247019341537,1.3734556934563908,1.3601089777608428,1.3761810770858525,1.4537614961576548,1.9668849530961776,2.2626784849365706,2.6539715493193756,1.7312041480596612,1.668537330987921,1.9635166301187528,1.8065164533518672,2.054270517415596,1.726011346642225,1.7379374885686938,1.7096434564093101,1.551064306844563,1.45927619025128,1.4968962054180708,1.4114307548012432,1.7870170794563567,1.5965176076136172,1.4778678826202822,1.4092404459517083,1.5104423581386965,1.505623751127879,1.3844100095114509,1.4540473024101328,1.2780955733060397,1.2861915151245906,1.2417361762732468,1.3243633964127846,1.590372899292902,1.2918993795072058,1.3594956809195193,1.2873405857995572,1.4653045374408513,1.3001251875222752,1.257349266643566,1.2877410412286758,1.3377628899127791,1.2855084475230525,1.3672557375188992,1.3923744054382872,1.273700508111176,1.1818901115293894,1.1939129139096814,1.2930967798315545,1.2235130083238535,1.2588053611501056,1.2206003846853848,1.2255140994349119,1.3624296554580901,1.2630567264287662,1.1628363538064486,1.1106477586363617,1.1477463459443555,1.1072264879781826,0.999005614915559,0.9152074995450639,0.8790865461357976,0.9479381455265438,0.9604440313330472,1.0190547242634485,0.9870682256413177,1.2945839494524747,0.9969325832329179,0.9884168733544078,0.9556661746536033,0.899706318014972,0.9561829388049345,0.8294762506275859,0.8642428130117972,0.789125965536858,0.8653135165514965,0.9600800399402645,1.0309826079666937,1.1482523250364252,1.2146715789660305,1.3607430526829527,1.129807982555466,1.0775007862108328,1.0073819865807556,0.9849452846101425,0.9348086485559511,0.7847099210829346,0.8031474251191357,0.8352061032970343,0.8532090120196959,0.9371700892209089,0.9961820982194161,1.0223721254435778,1.0302408947285042,1.0451206452206883,1.0182801693634154,1.0281223033860711,1.0823634332305925,1.0204012188535236,1.0020941134374535,0.9797922458310138,1.09189657757444,1.2424286555339752,1.3850925924942785,1.288920991050379,1.220841240458926,1.2580119062357942,1.1562918137986382,1.0946975129782661,1.0298504997406497,0.9366454006226324,0.8459142888483481,0.8179452647704142,0.7785421039177425,0.868816360812929,1.0962445353187213,0.9893368942486014,0.8370314326538913,0.8407045529779739,0.8608424248852405,0.9543286613806327,0.9409721025767018,1.0434467666781717,1.1076340274900929,1.181508154754149,1.2263941681157096,1.3219245313574104,1.4656680097791202,1.3271412071970925,1.6492601102354123,1.33064745498281,1.2550257470806925,1.1260364958402298,1.12097863199149,1.135846435338251,1.1214887275264909,1.085005941872851,1.0493506565618114,1.04946454001774,1.0271075150676463,1.0802306045216266,1.1136347124968209,1.319853357801507,1.0704218102783578,1.1189605179402444,1.163055825962514,1.2074385131304788,1.2142404588060778,1.429721718451423,1.523689759280926,1.5812929424351199,1.5186504249786308,1.84285766198833,1.470986169209626,1.5013232550312698,1.378861159330511,1.204639383005632,1.2595949371450066,1.2223294831719358,1.1293960685614133,0.9991800803762195,1.078848798575926,0.9661054972873723,0.8943517569051226,0.874845883511196,0.9093632259560103,0.9198341017623288,0.8929411169840821,0.9846609942780931,1.085205596629687,0.9972743058112679,1.0378484582273446,1.244025298112919,1.287526825416911,1.1859426901964314,1.3534728940261578,1.5964352620690043,1.6148752513822509,1.597359900820442,1.5766179526490007,1.349721128563844,1.3996603316163614,1.459323171185012,1.6957732711365217,1.6600524420570153,1.1893381599744888,1.0756682262800445,1.0389624537025657,1.0300828910776347,1.106435920225466,1.0773887977518106,1.0381023381137864,1.0579484901758984,1.1984519893948584,1.082393363137718,1.0876490764315887,1.3648991332497191,1.4751171790309274,1.2874737283927091,1.4567681909219057,1.0354479686977545,1.156857701288685,1.037524173679293,0.9741485432623338,1.0118048778368387,1.0093077747886066,1.1110029417781364,0.9983316991617952,0.97532502262089,0.9486710424189135,0.9684870305970943,0.8810092696014361,0.9015464490562842,0.9391245345261581,0.9471986811496851,1.0033433281434283,1.0374834276134164,1.207693307997314,1.1703790061385588,1.1942056516890331,1.1442139967967986,1.060382042228426,0.9527894103019953,1.0187729575229871,1.1399935283817164,1.066244129949111,1.0139479681995947,1.1401787338538025,1.162571738694062,1.045574343286548,1.181935571322399,1.423234465401556,1.214568645924119,1.1875261594520183,1.3354951228550376,1.5310120456908909,1.4309484667659342,1.3817160271843694,1.9731334938421272,1.879790097979979,1.7949812483604066,1.6898080977578602,1.3436499780623807,1.2797582611762524,1.6238930379637602,1.2780871990133307,1.336316841607643,0.8956387007686838,0.9380913022461488,0.9030802956858611,0.9366233034797377,0.8739914303968165,0.8246966060987383,0.8760898469161071,0.8231245187747757,1.1303537677275965,0.9681062825833006,0.9149075598602355,0.8244262512348453,0.7834897371493889,0.7823822571152007,1.0717949118352843,0.854362465942705,1.5958538118001828,1.917848538484922,2.647602741159407],[0.731249850065875,0.8993766774068044,1.0993558761712436,0.7297986365425189,0.9033802384116102,0.8061489772509416,0.7564872193037776,0.7947173242370834,0.7347358938419768,0.7508463964506383,0.7590372298681105,0.8134764157578559,0.8589272055751835,0.8083757261237379,0.9396469305245693,0.9524049390462179,0.9804940099340654,0.995386768227796,1.0572669351247241,1.0949303678266489,1.1323317383983496,1.1927473000001982,1.421916298673085,1.4344518484740987,1.6401356000150913,1.217894827947206,1.0802204647835612,1.053919124087909,1.03357094109074,1.0086110834144804,1.0056202935524237,0.9975585471161175,1.0210376246064814,1.0207132324631911,1.0354312988644914,1.0497184032314002,1.0947387178582746,1.1685328795253878,1.128622893289483,1.2203737511271426,1.1634203307741913,1.137241633397637,1.1467523881720332,1.226378985910097,1.7715827660676338,2.1847215096558315,2.480072221008745,1.5169799902855825,1.5217715676666537,1.7931269021304188,1.6012701940630818,1.8922108181825141,1.5178634039379915,1.5262134225511041,1.5644956973832105,1.344885203751046,1.27138179544127,1.294815677341885,1.2114458601875413,1.6062050934878636,1.4077643063927805,1.2405575309167003,1.1802494737653562,1.2533461324399058,1.2531045147750342,1.1493167264172885,1.1856123609317817,1.0551806327239166,1.0617529150049887,1.0341714104237503,1.120327560166329,1.3891832536703248,1.0675641304737653,1.1275669467003675,1.0721264130846893,1.28339602453998,1.0906335781285668,1.061748743834457,1.1006941592444373,1.141322891660105,1.1261607218431107,1.204552000772059,1.3071686922534758,1.1653794306022587,1.054312746179924,1.0779119370157098,1.1264154939766189,1.089834427798449,1.0754313186970348,1.0655191116893912,1.052484253103776,1.1923638616465122,1.0950825141478981,1.0209886275023474,0.9910040948735006,1.0198522474385354,1.0303398993232908,0.9136784047610523,0.8623372177729127,0.8750155610453041,0.9144558296231269,0.9842380345158257,0.9992776912976697,1.0187026899052705,1.3142927762842587,1.0591872196715308,1.0683831499343652,1.0390762820644615,1.0186608892172997,1.0547956946616057,0.9492141336006091,0.9292725167919935,0.8300062421517905,0.8551225875920652,0.8863609438539862,0.9237538751001336,0.996759141420083,1.0113090165800604,1.0972976836954764,0.9300820439698456,0.8792665013167041,0.8555470584842564,0.8221489019927204,0.8346763044125713,0.7476822410358162,0.8121997929652259,0.93945893532444,0.9335436354538297,1.0367584176939308,1.0592763235982043,1.0893442452338105,1.0843990739403262,1.050732235415414,1.0303040662591185,1.0295364152773498,1.099397109816622,1.070724175030338,1.0138455002759468,0.9403573301307723,1.012047460674175,1.0478563437552495,1.14989254125536,1.0634939137767878,1.058010906224568,1.0916123341249686,1.0290678093485632,0.9931116708625491,0.9711485855816281,0.9287421744359025,0.8604987848605818,0.8785462041653157,0.8332322216542374,0.9440698434043439,1.06852399430945,0.9746886753020358,0.8720820776729317,0.8492409980248842,0.8962960699944612,0.9380072766895572,0.9644028684747503,1.0190038988806478,1.0270501272237336,1.0802786285823507,1.1040470481496423,1.2121953272198578,1.3541177843756211,1.2317919984109,1.5545774267859305,1.3052706189834862,1.2342539996695634,1.0894906644643638,1.064900955425943,1.0619615265342186,1.0580412829123036,1.0198124565772297,1.0181233136505978,0.9992944859481996,0.9878288051106493,0.9974199244339046,1.0619221223606496,1.2588556057349873,1.0636200639638413,1.0728849506236007,1.0876964139379863,1.122614475143357,1.0718730902325215,1.2524264334244013,1.3376158566781038,1.4381898995865539,1.339355469481564,1.6790651270350163,1.3423595113502724,1.4082539852398568,1.3282485297175748,1.1653975172988382,1.2163650602883007,1.21531804819756,1.1663818662444951,1.0810041758349445,1.177769811440823,1.0745740087597606,1.0261124118023772,1.005916548817311,1.023481714452013,1.023705184353905,1.0138852011110522,1.0896276550903685,1.1474997984049644,1.0692396222836311,1.0964507968816246,1.267000292379278,1.266151969314599,1.1899529554407635,1.3532755920045987,1.5142478123663838,1.6002910052375403,1.4967892319000056,1.4926036591132321,1.3196673460505446,1.3457267615954562,1.3695837444714853,1.702412005443588,1.6378114302021292,1.2521511208600122,1.1040996896910256,1.1020087778018302,1.1150853838905845,1.169503070972454,1.1131530228677142,1.092711684350811,1.1164840066551984,1.2138036945761859,1.0822023372155027,1.1223970036838895,1.3927392332313784,1.4357563208746187,1.273862535237003,1.4935144794650235,1.1016035658371888,1.2266805787203143,1.1176663381480576,1.0789597797945456,1.1218770705604186,1.1246811014680167,1.2443969237968275,1.124677527121907,1.0973790696093502,1.0920467162327794,1.107805720604518,1.0037206097990166,1.009196912722506,1.029428020220248,1.0295983560523978,1.067429317992925,1.0762333831215605,1.224837863442631,1.1796475317071244,1.1905693102398172,1.1552824437720215,1.095968409878452,1.0339937896192555,1.0710011013081482,1.1423977568617842,1.1077569579437423,1.074991630121081,1.1481359216113098,1.1629222802920238,1.089087095057004,1.178233605304161,1.3635388926086949,1.2074248253061364,1.173259490240576,1.2856922705735383,1.437752915745275,1.3813583302756363,1.3788443339624858,1.8978801319592389,1.907444351194309,1.6797255538993392,1.6815382673032482,1.3728201066921963,1.348123653335336,1.755082772296578,1.403862629617465,1.413948512549448,1.0072534436589249,1.0375663759570168,1.0309683396046578,1.0472724557383135,1.0002638329510107,0.9586088202067149,0.9940571298867804,0.9461585576386944,1.2319800861480936,1.074294328227006,1.039554743694965,0.956478586620001,0.8888237241174073,0.9025329976148917,1.1475852948146632,0.9526237975577465,1.8580207219975302,2.2212662770171105,2.6363319973051538],[0.8212443181972657,0.9774253594725819,1.1978383801402372,0.7821830591715546,0.9084966423413595,0.8204200966266536,0.7016163225755911,0.7538534009935942,0.6711321068540359,0.68117587222723,0.6950308243055803,0.7547876004615814,0.7955035179514763,0.7467285921443261,0.8853708786021779,0.8975336103582053,0.9175412076217908,0.956728974093588,1.05519168750594,1.0989654836537623,1.165159808006514,1.2407572676786558,1.501249229737135,1.5402089219990553,1.6650598495523738,1.2367614720690672,1.0923391975609542,1.0290380931639693,1.0007491996124032,0.9652869132099956,0.966237242934048,0.9560595897755187,0.9879945107079969,0.9929429305337638,1.0128520489625075,1.0284772460775593,1.072700517480559,1.1641814208619081,1.1373891565344973,1.2554256077353003,1.1978869476317735,1.1738160554260841,1.2006807059521405,1.2862240661048856,1.8187180868526223,2.2279889771052632,2.542088316948373,1.593927025682954,1.5725847141806577,1.8519253904887483,1.7242103208809931,1.8729117650454121,1.5833449228178826,1.5230109593536223,1.6042348022299893,1.4488616092681947,1.3734458858562584,1.3292984505886454,1.2943338433825844,1.6696143703057487,1.4817356783280988,1.2891944305230834,1.198765441746774,1.31039995079329,1.2952726464141626,1.1802936415888323,1.1986262658403253,1.0510893336270888,1.0531166491847443,1.0009926685842958,1.1034373678809872,1.3809072363509078,1.0452455818143498,1.1222847734028256,1.0630345879856185,1.2849675663635802,1.0979747849543695,1.059036127662062,1.1064828249977117,1.1527256088001983,1.1372384286415003,1.21718048733942,1.286196613719303,1.217483258977622,1.0681240697463035,1.0843375267260238,1.1362697026664275,1.0874718061360258,1.0729915822332827,1.0647107187679345,1.0312374009387986,1.1685663471008734,1.0550045555356728,0.9789638303859887,0.9482316210501817,0.9654096038998622,0.9966929450474453,0.846928949648374,0.791701833626091,0.8078565808298696,0.8552444044853243,0.937364756057443,0.9662034096825528,0.9730091489964219,1.353067036780565,1.0495985655115774,1.0672498150619936,1.0396162267156526,1.0251773171320886,1.0458332312706233,0.945381016456866,0.8908914046662837,0.7534311912656325,0.7552667656428942,0.8036364908012613,0.8403052275941031,0.9428497466074659,0.9741431095618986,1.0817042362484166,0.8971040497623215,0.8401295173637167,0.7938707344507849,0.7453310840371111,0.7508760660271118,0.6557544754612714,0.7104439405996137,0.9337298693733218,0.8746283219859856,1.0191976599259316,1.0379766147354454,1.094766611089977,1.087506913766554,1.0622030767578061,1.03700272087457,1.0364616341060187,1.0594466865009557,1.0596540837683732,0.9296918671262114,0.8253389930315884,0.940184526756208,1.050330380509309,1.2172977617328447,1.074499825697049,1.0292827690540656,1.0792711897831153,0.9912632297162305,0.9369092091083538,0.9064695736722626,0.8626217601627805,0.788544217892399,0.8212488656987694,0.782296157401279,0.9235186661079302,1.0307097675943628,0.8970228784824982,0.8261085556564186,0.7900519418098517,0.8450695740647199,0.8836663678503768,0.9373431089898945,0.9786315775973292,0.9974742848925195,1.0541003443885475,1.106817855731953,1.24967068677464,1.405109112354349,1.2622055484076256,1.6589226338178384,1.3475055016250461,1.2518634611655701,1.0880768278129538,1.0601787974266474,1.0598382692027783,1.051983747948859,1.0040383772935413,0.998721421774856,0.9700175704894025,0.9735458409468827,0.986116467159489,1.0538407482568253,1.2230767967092986,1.0562039494011122,1.0951914999477974,1.1187353378549942,1.1464014402496678,1.118781549482597,1.2913593489268984,1.4457272558484522,1.5102558968970952,1.4067760444725705,1.6999583312050668,1.3611281011214167,1.444792325972798,1.3541952839302995,1.2025096583185042,1.2687842567601038,1.2634151055822094,1.1972834087295838,1.1183943529518678,1.1751351646602712,1.1427480145351108,1.0713774092532244,1.0473650943618285,1.13261449619643,1.1406107792598437,1.1104675840926,1.230165547251451,1.3147323272657392,1.2124829637075403,1.2416306913099078,1.4457149331275687,1.4507132422369262,1.3402197432079619,1.509299766404857,1.679028665809241,1.7857147706146914,1.6824972194944885,1.7129053831325187,1.5279885526567094,1.5459986849346852,1.5786774640824335,1.8322141023691456,1.8397620577624885,1.2927236463830847,1.248354056460401,1.2233796311231409,1.2039012207589743,1.249503768673369,1.2208503004320357,1.2255798065400358,1.1857681263122206,1.2874037812592927,1.1831267354208146,1.1984693607458965,1.449480761595918,1.5403740353069555,1.3759582413994076,1.51053045895288,1.16272149461065,1.261328532579527,1.1456898677225689,1.136124317345648,1.1323692387214552,1.1512933782207062,1.2436030711202544,1.1440514248564204,1.1691167694563926,1.1175360499257905,1.118257676915869,1.077975532257315,1.0857481842666132,1.08885888001674,1.1270983793392733,1.1887527142170486,1.189788264205837,1.3343321435480207,1.3307487926295496,1.3486538631234337,1.3268121625483202,1.2487222694779518,1.164475832365592,1.211844806282135,1.3210682202207464,1.2781567795182898,1.2161571747391198,1.3201482314899793,1.3490457799631552,1.249922285887334,1.3398913634315361,1.5411559818415133,1.4005806158229805,1.3234470281369004,1.439778109827239,1.5850173918165322,1.5528067115684459,1.585569490814319,2.102843823547043,2.122737157557978,1.8995595561023075,1.9042127888848686,1.5813207453026483,1.5243672826226522,1.9372727286850768,1.630886416208884,1.667498695330512,1.1948119338675889,1.1784733622306818,1.1244116787260703,1.0877535711178699,1.010150608028412,1.0025439500775735,0.9945647024239628,0.9845337782775577,1.1450440344645008,1.0713261341882743,1.1497746704811203,1.0168043569346206,0.8104774220622303,0.9629396167366537,1.284794368959623,1.015886521801169,1.7616441894565396,2.0721467661397392,2.6210546942355943],[0.7740097006964622,0.9423824594650528,1.1691100815091058,0.7556504093856349,0.9112031063054492,0.8219624098079578,0.7651767821938277,0.8273248510620861,0.7650916621051187,0.8233322835124872,0.8484356107713468,0.899021644807963,0.9733656070631768,0.9310111767419215,1.1000777958495647,1.114991576057081,1.1527968456141817,1.2243092386007985,1.3355612916627897,1.3892263246466718,1.4700398603815161,1.525952184608271,1.789129181309824,1.8264020437933952,1.9348679105476991,1.5266612056034379,1.373999770813914,1.2947985991524833,1.2605695167856306,1.203522206434338,1.2167523826633966,1.1809325278146323,1.2140271225861707,1.2531814780075017,1.2700095138345353,1.2981241307791438,1.319217225493606,1.4432153228480107,1.4054180765395552,1.5429553037326567,1.4799464453181197,1.4600353165623834,1.482941013466425,1.546796398882961,2.01486183708052,2.2975839481227673,2.683974122958828,1.8133121260465161,1.7426914960739985,2.01197134798599,1.9351006357967826,2.065181658648182,1.8205920107295657,1.7991778262354527,1.8212264516603098,1.6838357733855656,1.5874779589255101,1.5861676665025062,1.5369932646553557,1.8520635126028746,1.7050911367092993,1.5694912848893665,1.4853359591619675,1.6046588938947473,1.5837981268826231,1.4760789049837313,1.4943610233991398,1.3439562131335672,1.3253976954676263,1.266686984733157,1.3438107047068446,1.6131635886470777,1.3107768685847525,1.3938880545360368,1.3446108023950847,1.5181686625987454,1.3898999480958103,1.349456613477638,1.39417381660908,1.4401333094028426,1.4139168117348806,1.487352522378421,1.5001594016324034,1.4657815807403756,1.3142733893447867,1.3357176041187904,1.411760379953939,1.3491280807099637,1.3585906980162548,1.3289691079626782,1.3033623097513516,1.4102545036372025,1.3152215947990649,1.231857178612766,1.174937845969028,1.1914384053314575,1.1694321856403602,1.061022202571224,0.9810339871124247,0.9603913521963832,1.0525438862372123,1.0855861471128618,1.1578492904121496,1.1373699965490445,1.502451766555444,1.183480337505476,1.182052654181615,1.158734701087177,1.1197660974707189,1.1343091232135225,1.0137389633353588,1.0076258749816414,0.8757728457723252,0.9140729914048584,0.9816946529665304,1.0324367765964948,1.1659335502090438,1.214522552296372,1.3481915833901645,1.1488332385998328,1.0698806472796307,0.9962914746562521,0.9281171140694909,0.9162694786947686,0.7888848489210849,0.8413848899358908,0.9667939662542183,0.9749373195283267,1.115954166569995,1.1766935706637827,1.2023069757698255,1.2025513377497055,1.2171513738153712,1.2016377683201347,1.2067248314867007,1.2078721239156531,1.1676461011295765,1.0589409322945373,0.975049677220715,1.1334301815957148,1.291943712252241,1.4737337668362047,1.3447564477324707,1.277614987213306,1.341796667573172,1.2350404829371444,1.1577266264047361,1.102663927056217,1.0401280902746637,0.934740944703833,0.9386642647014154,0.8828705330448808,1.0062340557432334,1.0712879217008573,0.9977057070347908,0.9535581711666472,0.9437817826406882,0.989581542543513,1.0646991644246298,1.0954434333079464,1.1680317470311268,1.218232943591199,1.2769725365457678,1.3476227314665437,1.4498872731415184,1.5748859542388487,1.4285454960682995,1.7175023282741744,1.3543696765467277,1.3119204797600124,1.2452483252496558,1.260714817254607,1.2752093655307937,1.2709131330615522,1.2295942355996567,1.2060250107816786,1.1786427257276642,1.1800151073620646,1.219828776292908,1.2724934673807307,1.4121124680483368,1.2494471914518746,1.299298993535762,1.3199820296431763,1.3580176596999067,1.357005426663623,1.5685316911292602,1.6793595627018196,1.6675902653436034,1.6246186447496753,1.9102009344929136,1.5889970011220222,1.603284806604088,1.4927215953530555,1.3441240911073498,1.386718861948814,1.3829957147164338,1.2940566811498697,1.1910972103949555,1.2366245135925722,1.2067106084236119,1.1212268370642033,1.0891664356428947,1.1677315680493179,1.1734156673527922,1.1189071326650952,1.2305032310237272,1.333590114192667,1.21803086961326,1.2251621996454078,1.4420612761426101,1.457605282952863,1.3234842835427587,1.4933458744300723,1.6977594953621398,1.8039045072267166,1.7224996431535269,1.7904894703678298,1.580665434885271,1.6011997734832746,1.67124296680128,1.8616230755114231,1.9374908100650183,1.3443747986842565,1.3334049504563859,1.3095018768278068,1.2778739311267693,1.341609046496567,1.3137096592367288,1.3225980127387553,1.2778832598460308,1.391101642183859,1.2937288625847387,1.2992019049111818,1.5621130960043885,1.6815367736244438,1.4916005777077241,1.5892290532301645,1.2364733369976524,1.3518727406198987,1.2307495714557501,1.2062628872569598,1.2013241244170103,1.2073916492988765,1.3143425084577507,1.2038854558077066,1.210742923939376,1.1629092206392857,1.1608593671373066,1.102020008828048,1.0991923355021254,1.0923375521517982,1.1245873745046973,1.1957836114564817,1.185218998327173,1.3219206401172416,1.330675662677695,1.3596729517647037,1.3468048910921158,1.2794620493428324,1.2001050628390564,1.2699091950075787,1.374266970647176,1.3161080134669811,1.2780893128511024,1.3968910481461798,1.415318408877207,1.320975813486895,1.4466766837444014,1.6506611709627925,1.4908800608026207,1.4327358556015415,1.5767113906364445,1.725156450942357,1.6773485866038118,1.671543069201722,2.244443362560229,2.204959072048833,2.0094106998979413,1.9470082979535503,1.602860377661137,1.505918607798864,1.909133909987147,1.6260347396044248,1.714135954811977,1.244468731351368,1.2188636625751768,1.14429377492043,1.1369492911184595,1.0505898476723043,1.0136513896147086,1.030422153209782,1.0048418217722719,1.1948650487118146,1.092611061768662,1.1318838393761257,1.0040508242024684,0.8580148082379508,0.9372757443529357,1.2502800803929202,0.9846731084884944,1.7859751864563937,2.1183887339591405,2.66526316032159],[0.8031945294016577,0.9661606546168221,1.167445087743754,0.7989539338887519,1.0353407666342875,0.9659814999004981,0.9777333299453036,1.0385181686727238,0.9829310982288685,1.0304968427080041,1.0474634283452002,1.1010479035639955,1.1670279902041942,1.106184251889694,1.2652530490499754,1.2859055248896007,1.3139910096227072,1.3416476456297155,1.3887398839877092,1.4459257324628119,1.4685909222464173,1.50109480221233,1.7119286088755141,1.7169288652531896,1.9042860934372403,1.529156334657402,1.4240501211841938,1.406124977032514,1.3925244336139546,1.3659875431847806,1.3495182255139309,1.3487195545498583,1.3727884375620452,1.3860569960723839,1.4033099584734037,1.4151248877670275,1.4586516758481025,1.5417946813759575,1.4839348667382704,1.5857282401951283,1.5076610586922423,1.471841432774299,1.4696583177715172,1.507140096389655,1.9578236474283082,2.2482974104454554,2.603566264034746,1.734762515955421,1.6942293475307664,1.9483970792093162,1.8135669944778,2.1157593067241156,1.7807555370848798,1.8501316283835387,1.8206694854094863,1.6094237216296239,1.5197292088573535,1.597984351516023,1.501010095124151,1.8085464487318161,1.6605530229805667,1.5524017305010003,1.5009634863353278,1.5655266933619847,1.5498881271982967,1.4879277864136327,1.5051285143840314,1.403493553227547,1.373975893762343,1.3546832606185217,1.4112424825802663,1.6606889296201623,1.3768794234864412,1.4263387298404582,1.4129979285556187,1.5596828144455237,1.4406769035991676,1.4165729305147663,1.4588667746894388,1.4876482106178162,1.4936041786376064,1.557291150684541,1.6148140481425253,1.529653823775067,1.404618954615422,1.4390118639770286,1.4883334178811025,1.4641204483392505,1.4432284620915297,1.4260206765790984,1.4005273432387373,1.4868037333745345,1.4185357577796855,1.3691500191821417,1.3240045354105836,1.34581094084837,1.3070024462991703,1.2514139226954872,1.1901796620657374,1.1828695253036232,1.261182075589541,1.288595721077512,1.346358879273197,1.3456236669995194,1.6288311608119719,1.3620836725754537,1.351207620436669,1.3085892271499275,1.2773588922880348,1.3021590565552525,1.1858724054961471,1.2106367167265455,1.1080352515450642,1.1462205720198848,1.1757230722473675,1.2080729514988102,1.3079402418315564,1.3205522114870931,1.3955331197249534,1.2545334401790345,1.171965325835218,1.135776953117691,1.0569683396222262,1.0910890795288521,0.9941513668141898,1.0639028576524143,1.108641524576538,1.1807322820250215,1.2901918031137252,1.3449247611850577,1.3229699864566045,1.3187618830445773,1.3136561888094185,1.3278629147222967,1.3298098745183011,1.3687641611420234,1.2971912641512828,1.2456982450274283,1.173345353383778,1.3048862774779664,1.3831313665070055,1.4774545802848404,1.406332591388746,1.4002332533949238,1.4438375004518311,1.3775609072157227,1.326132097836938,1.2936077344818049,1.2577446784562074,1.1636300314030965,1.1621616714388394,1.1092384711637242,1.1963057053738886,1.2221214275408805,1.1978995415429536,1.1705208889417895,1.1597886121101677,1.2125084801823525,1.269339222368195,1.2896957136284355,1.3531978295985503,1.3713476936758593,1.4129637627833846,1.4499836073396468,1.4897266442031234,1.5929460737009478,1.4570096339921181,1.6121274365977705,1.3292413244274417,1.327202661859118,1.3330705885785397,1.3968074754664754,1.4021367981841266,1.4063595599062362,1.3778860316300667,1.367838235972662,1.3449336915778756,1.3314853112481317,1.3531965589658441,1.409117112719767,1.5300035976820885,1.4028546548915286,1.3991515640267305,1.3765308137688186,1.4230381310109284,1.3814785596763306,1.6039196894916739,1.6042032796808783,1.6126576404364563,1.5861320071106004,1.915891251762413,1.6104361655309656,1.5853349351014798,1.4931988130349099,1.3487393553674074,1.3719644709911456,1.4032654551190344,1.3582015390491822,1.2646936067717616,1.3559616283155522,1.2728528867787035,1.2226127627529453,1.1949331619414088,1.193111933345901,1.1856437483677398,1.1595071770751855,1.2039752550680318,1.262049989505854,1.1827631411186987,1.172293762285932,1.325278365242151,1.3137344640224278,1.2290406088772345,1.3745882866990164,1.5301623233494077,1.6441864181877177,1.5261018386630874,1.5780228212461684,1.4161876636374855,1.429983917011965,1.4874307165617606,1.8043475222807723,1.7922198901708926,1.346365066344258,1.2772173490978291,1.3003721977281488,1.3108495332848804,1.3805597413617896,1.3100922821721974,1.2969219160365923,1.3184090629387983,1.412020333033843,1.2675968659750556,1.3141222979467624,1.5722639192365486,1.6267253205842596,1.4479914947350772,1.6272758270214622,1.275804433864155,1.4260855392613128,1.3182582614221499,1.2833050986252643,1.3390830422874422,1.329937773572519,1.4790183251768512,1.339539277219773,1.3002190776907738,1.306111482646215,1.3141233027899186,1.1704366549475975,1.1620285658331115,1.16337957597334,1.1374478970116064,1.1768246225904833,1.1567294145730553,1.2585395225644844,1.2387477779342508,1.2611393201436434,1.246914636099689,1.2122866000979364,1.1888787040213005,1.2343585107278447,1.2671785819873695,1.2376960486189281,1.2423830458067415,1.298712099899251,1.296171900141294,1.2535712369448393,1.3543223827338176,1.5069987979931874,1.3608400698150134,1.3485614701652457,1.461900099472743,1.5731296511603492,1.5281167109617788,1.5143676932050414,2.0496118926670976,2.03184366557482,1.7822380193733602,1.7665100763468833,1.4618153104611387,1.4086655345396546,1.818609439101956,1.5192683318523545,1.5728526757770598,1.1805451580546427,1.1921534543527432,1.1858832187530415,1.2289183920830256,1.1870809840155239,1.119579335232746,1.1682249128836735,1.1120659454452397,1.420651666205032,1.232752553540584,1.163444768701658,1.111234760291527,1.09262349320635,1.0215427314134888,1.2207167078159042,1.1003040398371218,2.132082003612548,2.592306959349508,2.846661395780944],[0.9964421948584293,1.1379993512830613,1.320831682442157,0.9396168296870101,1.122415754284633,1.0755104039524996,1.0089302936670628,1.074920304626372,0.9918884622075435,0.9980611550848013,1.0136559080326233,1.063728316106983,1.0874850509643281,1.0371285372172354,1.1692305832600993,1.1624353579436326,1.155425066189547,1.1713740583908014,1.2182144039317298,1.2621966383235603,1.3013919535378156,1.3572737682302742,1.5953643723557192,1.612632700104461,1.715075774752109,1.3355265221563164,1.2479288353969689,1.2265116463157195,1.2298527319629577,1.2238072586946036,1.2258367758887418,1.2388631946960182,1.2836419098232956,1.2495907396430364,1.2638670058046764,1.2565678819299038,1.329112525381824,1.3761757333813174,1.323205184444189,1.3985388388227358,1.3196863761062527,1.3024317599582325,1.2922037481038156,1.3292805725616408,1.8074077438150773,2.220825753121847,2.5014693467768168,1.5878404249110225,1.5807499224245156,1.857936394247147,1.7179728397382923,1.923251317298995,1.6147205147385246,1.6132732001777508,1.6779483296396702,1.4996724577388727,1.431206102155588,1.4244630563544032,1.3746190857067833,1.7156040136538637,1.5496116616368825,1.3904602289610755,1.346442670892479,1.426267930241577,1.3772054801754956,1.3195143275779189,1.3275675829916675,1.2234240025973304,1.2022775351257442,1.190888957240669,1.266280038220227,1.490346647677811,1.2144199755917,1.238291430115109,1.253501762370659,1.4505611534283418,1.265583012415698,1.235572196280004,1.2810145012807337,1.3087066035460455,1.3325216400463176,1.3745542445756596,1.471737279018375,1.4015397597729207,1.2376032277498168,1.2986074226938584,1.323755155709447,1.308278587253002,1.2752867398934509,1.2806192086201038,1.248054072208899,1.3547751371241907,1.2731133929626413,1.2375979191036675,1.2244222205094115,1.239278827758396,1.2741895424002359,1.1437052690444145,1.0938696493584283,1.1202615278402932,1.1552812430956199,1.2349200279300252,1.2419760367589496,1.2756939430799883,1.5932961945284445,1.335643426098874,1.3466509099245139,1.3273358023626576,1.326078938567087,1.3252497321862164,1.240190498867846,1.1951728589892792,1.0711367129530307,1.045147405827113,1.0659389406518558,1.0664361370337885,1.1528067555932902,1.1339046204035856,1.2050584344651571,1.1039054814756966,1.0323181118227254,1.0225458028974164,0.9415859484475525,1.0170368403252987,0.9499116850879892,1.0069055050246316,1.18227470579357,1.1779813861655446,1.3199365011782833,1.3315621435513323,1.352822804516131,1.3370433422143402,1.3008521781923,1.2833707796217442,1.2941778823446128,1.3229911258379348,1.337962640521459,1.1788497764381332,1.0301938059865468,1.1505222682120524,1.2004443493756438,1.3091485918623982,1.2121520851797516,1.2089854337597303,1.252265455193647,1.2130191731441649,1.1736100883760707,1.1762911652392718,1.1650458037055131,1.1003676498593493,1.1409097604484704,1.1111459047446273,1.2242065454321975,1.2059230004209334,1.142002409537716,1.1484217740463942,1.10647332938798,1.1624581541261636,1.1800429495273825,1.230593222063956,1.2463789944699097,1.2315467204305062,1.255219242610156,1.2827803407158918,1.3784779047252638,1.5014671828115016,1.3703958822019755,1.6350338208731445,1.3525387598557703,1.3150122320243314,1.2794881772288862,1.2983518867464758,1.268855488884538,1.2756387587646008,1.2393987349538416,1.2537268163264825,1.221579924407278,1.2126382279204568,1.2022201886375605,1.2798875029265329,1.3882880028396298,1.314463862469027,1.295867664635442,1.276385773583198,1.3004818623875283,1.2187408541403029,1.4110411012752475,1.4971241167339489,1.5313882313177083,1.4535228123250428,1.7729662322878597,1.4400431295414526,1.5426853299304224,1.4856162956355317,1.3514650203416314,1.4236918022485934,1.4294500315212242,1.4071901333156485,1.365997434727,1.415239106528532,1.3752250287007834,1.3204663166467046,1.291289904302774,1.3242760782837062,1.3158742028202102,1.2929007625297495,1.36123583401348,1.4060943627684621,1.3279680787378523,1.3305441602789734,1.4730419752944317,1.4519881485337776,1.3757851944919794,1.521216233006273,1.6287015639427538,1.7657889291382227,1.6247198952133917,1.6633159161961155,1.525056727494377,1.5288601483764055,1.556522942637957,1.9041165755585587,1.8588422144642511,1.4487653588262335,1.3807101037731546,1.4042748478145741,1.4043242062657788,1.487882670939306,1.418043030187203,1.4022916052490644,1.414025000070682,1.5188017904184965,1.3689116182415286,1.403804545715291,1.6149197070938845,1.633532819895008,1.4896522002629955,1.6616706674669892,1.3957039500434556,1.484846858570265,1.4095385226430783,1.3834800051870524,1.4206936839051338,1.4230867631433508,1.539826353118305,1.4265299247987475,1.4249420500219312,1.3954177400030423,1.3900164417787595,1.2870249846673263,1.2789622112242967,1.2706730567954483,1.2632629450520545,1.3040469623925872,1.2835129729313213,1.3861276050114966,1.3705200093430154,1.388736786200951,1.3815008581297197,1.339595008702504,1.3248769036534962,1.3556947426024486,1.3887402589345583,1.3723968372863966,1.3603002336139087,1.4078423113141938,1.411028309494814,1.37405263210301,1.4360326632301297,1.5833129574934117,1.4644309093609742,1.416128515307487,1.5168722893332287,1.6021303056478715,1.5794335560374653,1.6099821391790687,2.064545280319792,2.118932544571206,1.823500732434731,1.8693259337871588,1.6014137756751106,1.5793948827431168,1.9860464859545857,1.7046280851891045,1.7173789000861834,1.350632629728878,1.33174330565761,1.3196259243383321,1.3230479857894004,1.268217375019824,1.2380657341607293,1.2285376403519817,1.197262813838005,1.4125866561114273,1.3192580379338699,1.3217811675233435,1.2339137346040867,1.1142551800829852,1.1641959786792926,1.373655132910857,1.2222063131289553,2.194779488717291,2.6643358075690173,2.890902037362065],[0.9629637845320612,1.1006635164065537,1.3192871892875246,0.8925359457129808,1.0764918137920723,1.0301534706544535,0.9500206883425466,1.046353999021467,0.9229805117890173,0.9269572863184699,0.9397898534019343,1.0319095434296257,1.064201653305613,0.97488972103662,1.1461368720114395,1.174785862230545,1.1690563707810635,1.2241524348620911,1.3014611094072512,1.379753764323174,1.4391556123845892,1.519432068175192,1.7733019199128996,1.8226621272370946,1.858949359607904,1.4587024462471965,1.3680963291628618,1.2946082423182517,1.2956684626136628,1.2812027466156422,1.258239148275599,1.2901600091634273,1.3359436612821094,1.3340420119735978,1.3624728389083407,1.3541191759989486,1.430606509574012,1.5051471554916567,1.4745258652477304,1.6309700906877616,1.517962459698386,1.4779406250588638,1.5012972845380774,1.5413029814901158,1.976412560405409,2.301197661779184,2.651495331479106,1.8066342667652302,1.7430244420766816,2.0062480780104837,1.9913544537503378,2.0438476536574686,1.8429083115187392,1.807070970837645,1.8708320245629093,1.7348830807655844,1.64021029069098,1.6200164879409933,1.581908499097483,1.832676847572964,1.7099187637460902,1.5545804341258518,1.4786724055871647,1.57942016677227,1.553290896874146,1.4738872278992627,1.450335422020268,1.327544386791061,1.2834286611552812,1.2242031556504829,1.306774046373318,1.5688785773426865,1.259540430311504,1.3494027044539054,1.327966748079439,1.5127835752121976,1.4023581124662947,1.373678233114232,1.4282192714824102,1.4743458501316358,1.5087320245461906,1.577374891409503,1.6090111163668115,1.6412392230691402,1.43771570181954,1.4662559241014275,1.48477137170277,1.457290756603622,1.405674218842846,1.402348037775052,1.3387066851381566,1.418598647927212,1.3296254990469492,1.2771489192195193,1.230095195868212,1.2311842402157664,1.2200781229812365,1.1425520139884437,1.091241132411817,1.1325553986129484,1.2039296844390315,1.2971859123511222,1.335841202797389,1.374261648337019,1.7843082966547232,1.468664062663067,1.485885205263307,1.4776753848109259,1.4563113309740214,1.4263217052513923,1.3094111706737017,1.252098863253736,1.062021028868115,1.0297569251823449,1.0307143395072944,1.0279941976361857,1.1483540445501346,1.1453164235699296,1.2617739610718919,1.122224996987096,1.0237911623785085,0.9703199722187406,0.8617412307687881,0.9213230820892411,0.8614206024994328,0.961734744306848,1.1895996498403822,1.2013623568632135,1.4061559071169278,1.4666087606302667,1.5075416857965216,1.4928856814964753,1.5007246633082414,1.4858228001169087,1.4891495035864122,1.4213960049281427,1.4216048648988842,1.1738501196264428,0.9969612719063701,1.1613514610977644,1.2349192048897506,1.460820368433322,1.315788440471296,1.278402995682856,1.3716398583069538,1.289979963745957,1.2149439728479825,1.205473552837478,1.207458307610601,1.1069842816396598,1.1703066533205757,1.1079649233900442,1.2563783058081108,1.1945820703027825,1.1251146246007309,1.1643186309372147,1.1215462052279512,1.2105130320623099,1.2290203263647372,1.3238608677896686,1.3452070581337419,1.3415495485158728,1.3632898556805584,1.4498765246973142,1.5556306610398087,1.6537519177898237,1.551163229399127,1.7929876159990017,1.4762885518826767,1.4626605912912412,1.4571568297061013,1.4423018288015559,1.4511602249953635,1.4563193015701534,1.407932120354367,1.4139856102210346,1.3377050817857052,1.3739909297360848,1.385332639365614,1.4752766659366672,1.5461383420297212,1.4980230635449732,1.5324524872337317,1.5149666971409295,1.5517028046239125,1.4873330055320046,1.6528318784517086,1.7758235310020343,1.6858145443586323,1.6807196315038848,1.9447301681789395,1.6946829763275033,1.7446668413451525,1.6769153118552607,1.570792251457868,1.6162347464101323,1.678709086736048,1.5999672349682006,1.5172409698237206,1.5388909742369143,1.5566008893152226,1.4637209109733766,1.4204752462155332,1.506096499558617,1.504260540237503,1.4349783057623546,1.509551033712823,1.6061773108588877,1.5090392362396758,1.462833837174115,1.642558719505218,1.6445055193644869,1.5106484088925887,1.6319956794063937,1.7740887648906518,1.936674884436896,1.827903060789928,1.9237531398231442,1.7820818095770492,1.790590397455342,1.865701319760232,2.052044703975065,2.1986084518495295,1.611157813072369,1.6450060398630981,1.6374319532598118,1.6065763772483443,1.6643165577804424,1.6201153774857422,1.6732071441225385,1.5838188213304158,1.6517731154483863,1.5873952797274808,1.6099229774180133,1.8476789121970083,1.9428212305182362,1.7510015992052028,1.8401117669743166,1.5363619594558056,1.66334118234989,1.535675700408681,1.5387699242254356,1.5091327974557345,1.52114462442363,1.6385724454398143,1.5259421246930673,1.5293909967819919,1.495868307102305,1.4887172533977837,1.433116273451859,1.4189807078775272,1.3912927478491126,1.4109019982136894,1.4910438745282923,1.4558340689442548,1.5317303128886337,1.5628425725850708,1.5961839215476605,1.600792214636549,1.5727821362877035,1.5405260600283845,1.590956678069111,1.6530959468510984,1.6079638617532541,1.6075264811791377,1.6842678350627323,1.6855871350256753,1.6327552230247933,1.7439551764891563,1.8772565646351926,1.751763514032656,1.7108727134928794,1.829854684875004,1.9230025749531607,1.8963380141102104,1.894086916889689,2.3956625290435944,2.358165525732881,2.102256297574793,2.0746625140043378,1.8023410927551113,1.6944293517570912,2.066575686243581,1.8698484963652646,1.9633217727810746,1.5912240589489635,1.542899515610994,1.4565020684811207,1.4617463751463542,1.329082361409188,1.306706736440784,1.328281480139906,1.3162842310466425,1.4510597219769654,1.3844497365321295,1.3874461866960377,1.2728168822985975,1.091360800684169,1.145226350323037,1.432425786594341,1.2313265265290911,2.064317916182861,2.4354343700521555,2.8076101195391465],[0.9220286367451231,1.0266676791169926,1.2062644092572814,0.8411007263815928,0.9343673926029702,0.9149129185811166,0.8201012402171322,0.8999443636532272,0.8014650216205715,0.8191962970195673,0.8363189365361647,0.9120271021309893,0.9285070215089759,0.8591378379146302,0.9898064463707399,1.013278512159384,1.0315469758962537,1.075984510853991,1.1626207661851895,1.2258272210118257,1.28791180877263,1.3784293790470528,1.6249173111978121,1.6838053369921786,1.7288093119026415,1.3270531326438035,1.2231420593491533,1.1427917892353663,1.1320712973419211,1.1048478574915235,1.0939930469056072,1.1109863071580484,1.1487913645528913,1.147464427745532,1.1744602666580857,1.1774371789660873,1.237761033305907,1.3172301521691725,1.2970725123316647,1.4364831814951646,1.359198473910809,1.3287158178519494,1.3703539683192432,1.4266950643306084,1.9213380594590037,2.3052907319274816,2.6175787750717694,1.729726403332093,1.6788265737092292,1.9415704961713538,1.8935557310855953,1.9075665889387656,1.7200156510756193,1.641963176610484,1.7429215473964008,1.6258330058306727,1.5532481942790581,1.4718165304745006,1.4705804269042642,1.7516575536540218,1.6224668473435946,1.426235260968615,1.336753223290116,1.4345740939238252,1.4240821536000057,1.3286445881337696,1.3025900876672187,1.1773525932264877,1.1529781080451749,1.0907321264517245,1.1838083415275582,1.4509601936211165,1.1222149104027335,1.2315615361701466,1.1720551159037849,1.3619807619790272,1.2454818098103921,1.2099589564652011,1.2631303448487314,1.3142372502746325,1.3175133073039023,1.3888663378167354,1.4380946909077477,1.4295722639002741,1.2331549981782097,1.2711894592720316,1.301075488700092,1.2718317837351216,1.2308915335951802,1.2207195993346198,1.1686041798575444,1.2663698653137856,1.1700636009491223,1.1039822878106205,1.0647293447780497,1.0595004574338218,1.0837143742197266,0.9785111689523971,0.9185351107235726,0.972176770254186,1.0075709601831306,1.0870391322470079,1.1246637286492736,1.149958926121699,1.5123462024807455,1.228849683552333,1.255760025583302,1.2443913325854048,1.2419632698625038,1.2244360337134157,1.127239405520979,1.0469457684788,0.8957320040834507,0.8827180500758721,0.9173779476815711,0.9295428925460726,1.035302741298429,1.0470935799814212,1.1596398367350393,0.9981921306310474,0.92124159084078,0.8824322343326481,0.8089236825347279,0.83475022120342,0.7602938274348668,0.8287897073189,1.0546675169779909,1.0214645610118025,1.2065382524032044,1.2569690319988445,1.3191852001679825,1.309749765689175,1.300141276121186,1.2675313148549592,1.2589902461096805,1.2522360337538732,1.2629693319558644,1.0466995789488827,0.9185325674742307,1.0382419379308554,1.1308907643094683,1.3468715459330967,1.1789486793607473,1.1382727898577725,1.2121856243167977,1.1216563370169712,1.057607295062339,1.0336209511279841,1.0093570826249243,0.9239868769551772,1.0033910009658429,0.9442102811900634,1.1137626350370893,1.099360195614541,0.9853908984756277,0.9869629790620437,0.9409228731123535,1.0134952023804231,1.0340393036996887,1.1076780007216223,1.133878657923746,1.1646015924413888,1.2020087596973656,1.2763912841189264,1.4519397008380752,1.5454560930157855,1.4585819315008406,1.884324945274291,1.527176887251557,1.4064484527780172,1.2694419663618193,1.2096008007326677,1.2252684201724249,1.231773739523692,1.1813383043418444,1.1812818611396736,1.129141939677758,1.163331294387832,1.1621318953444104,1.2544997068981902,1.415203172822226,1.2567897128310106,1.3058127045495325,1.3313056460233188,1.3434499731926917,1.303791019365839,1.4564867656032892,1.674652321999172,1.6299779374872396,1.5312335794033076,1.8017632671708192,1.524356674033062,1.6257531776186982,1.5550977002659845,1.4542365339750567,1.5274758008294416,1.5323649958643053,1.427313766766543,1.3140714287384214,1.3863029611410418,1.3806506180197342,1.2934832345640417,1.2552074543892695,1.352219539716756,1.3612330718807777,1.3105427522318887,1.4061912526418696,1.5062981389760568,1.4133884155144376,1.3990363966782604,1.596829516865841,1.6071697473240663,1.4823174551817633,1.627987505550296,1.7639314322748187,1.924244070637192,1.8055838672099924,1.877549155894481,1.7065727288077386,1.7196937626728406,1.7661270418152875,1.9247482240758262,2.046417719147377,1.5183793453307661,1.5061123176716982,1.4533330507586237,1.4195864972784888,1.4479859979393437,1.4271599696964636,1.4924150265663922,1.369870825710073,1.4331607732918128,1.3794771242757047,1.4081119894787302,1.693798391904246,1.772881897807676,1.5632435809591998,1.720764652818991,1.3138777501330947,1.4820037878344814,1.3142275161878094,1.3337011552187654,1.2898898699150383,1.3047717238850502,1.4296015227112324,1.3242637705937907,1.3350157297179104,1.3101108548148312,1.3238542981978993,1.297805942187235,1.2954562508724108,1.2827126081361027,1.3188267529280768,1.4023774632525445,1.3837200094263555,1.4788777431170375,1.5184079671645987,1.5399447481030732,1.5221015181501865,1.4690401938185185,1.4121297362095813,1.4510671873611125,1.5402631187981815,1.491979389776154,1.4667069539928692,1.5502576283370726,1.5627140320136141,1.4850542521106913,1.5941982375431463,1.739462471970432,1.616734056452983,1.5516167612565288,1.6545054963670143,1.7760975020648155,1.764864905636662,1.803678296920118,2.3199661320711455,2.3329820953170786,2.0740554792039956,2.056480374702026,1.7493481135531879,1.6555379250529227,2.0335660610432975,1.8136732388941652,1.8985558281301476,1.464578625883164,1.410201741363225,1.3154417609444646,1.2905161736239792,1.1659480133428235,1.1603948381257496,1.2034341191694278,1.1868131509761044,1.3446001103141234,1.3106862011531526,1.2583105835547028,1.1443438246361948,0.9772865357432118,1.0348254579017866,1.3608289548120258,1.164819384447097,1.8558680111682426,2.177412055054573,2.7214748972862535],[0.9883079081438818,1.146149061239439,1.3968425353676237,0.9481682790706569,1.0725414840077707,1.000129118588477,0.8722162653769002,0.9344308728098717,0.8457373793712101,0.8757849600452856,0.8987499137022381,0.9618982193449545,1.0140808855385546,0.9624996718265737,1.118535766290844,1.1451566618045659,1.165616249784774,1.2663976718097594,1.400230358779816,1.4758489114625328,1.6111345065729035,1.697931815303494,1.9816403741777375,2.0599340173567433,2.0420562885969202,1.6229624173797303,1.4593836886518206,1.3394163185957337,1.3043015261109727,1.2456789776871349,1.2549007718653706,1.2381282340493025,1.2787078992569287,1.3237096331940974,1.3468564785225035,1.3590588264867303,1.3786116051932262,1.5125413464205302,1.4907239747790055,1.6780720195383296,1.5959788493763225,1.5788963128309357,1.6260168867612388,1.6864779272965191,2.1221664367365367,2.370683255274299,2.7867948410779877,1.9764613173550105,1.8716188051361033,2.13583733053773,2.159256313603226,2.124869644915053,1.9726189254062039,1.9015180434017298,1.951099773308335,1.863481888441439,1.7681461548262225,1.7235111337464393,1.7187476007787588,2.002704228391565,1.8585488393539817,1.7196829404281617,1.6135477111011203,1.775483487832187,1.741116592043626,1.6150570591178213,1.629511490532918,1.4285299188580045,1.4004614392092636,1.3241289820662714,1.4062714147855542,1.696208685732963,1.381660709661872,1.4723806363089504,1.4164257076104256,1.592478970337016,1.4885637017999755,1.44693063282692,1.4950810280116467,1.5629339875397532,1.5388968343701899,1.6164850911451483,1.5867798342306476,1.669096134410644,1.4710139479880244,1.4466769866814142,1.5150896311723945,1.4510537676121995,1.4474201332395993,1.431359842363787,1.3649171705705723,1.440790842039782,1.3562321176637286,1.269667986974049,1.208872470794911,1.2037218557947382,1.1983448375462413,1.0877474976763197,1.0114100359718685,1.0202211136805432,1.1150428887217305,1.1855557669420551,1.2473874630261168,1.2545463858062682,1.7447936477935087,1.3439030300712433,1.3642015937628322,1.3563460006056853,1.3268017763930517,1.2844259951281778,1.1867312041837912,1.131262023717142,0.961150115174674,0.9508095220977176,0.9960537779260888,1.037779232312429,1.179979814898698,1.2301018410265094,1.4003116194077347,1.2009529268295756,1.1050208858663866,1.0182885259473264,0.9387813493750774,0.9184071231948081,0.8163372776049256,0.887190769784201,1.1319221727390105,1.0821977442106336,1.2530648842583276,1.319471128006517,1.38740757415444,1.4056678605174202,1.4356110174485661,1.404960887883496,1.4022478757460348,1.2873690579195485,1.2849259322912294,1.0634744229387163,0.9583191772704285,1.1338936017535177,1.3138334482725158,1.5473643947229592,1.4000398804489225,1.3050529861689257,1.3916243653454308,1.2783162327956685,1.1834202174935844,1.141064008758695,1.1070048524199705,0.9924333998305839,1.0601228252936559,0.9906818944445215,1.1521888070713338,1.1939811119660704,1.0466982969131406,1.042099620431827,1.018497204353512,1.0944652334406852,1.1328617266584264,1.2138142889860535,1.2550967406989901,1.2866584810614106,1.3258705825431323,1.4341280269866319,1.5238507194872852,1.6159077020958679,1.5276058998131008,1.8055839648759573,1.428071262979341,1.41860554062368,1.3775914159283853,1.3735663143622256,1.398498770069501,1.3967723519456507,1.350972719657691,1.3386502314660613,1.2692286803759492,1.3088491451673487,1.3540826436836704,1.4236996966877222,1.4883746189283218,1.4027617035327988,1.4948620386554325,1.5206008152887915,1.5401205484346243,1.5424582558416993,1.7024832218520756,1.8734695156361518,1.803525135538576,1.814204109074804,2.0320913055023744,1.7273723509871706,1.750089961353381,1.6224669581269011,1.5278737997037082,1.6281230594136067,1.6251157939412446,1.5340452645342355,1.485160881876102,1.422175643694013,1.5140598104616214,1.4000663485112061,1.3445486954949388,1.50171585893028,1.5248208899781244,1.4266834186382982,1.5462043187710337,1.6944745649968198,1.564251662765774,1.5330706682461521,1.7695810790052524,1.8044713665829608,1.6202723856306045,1.7702214818798307,1.9967346253372003,2.108065964620397,2.05877929961644,2.1768919771976183,1.9740337240989896,1.9920017990542638,2.1036377342027257,2.1958390391009823,2.3994932145678924,1.736668304362469,1.7643858087926994,1.7098775323760098,1.6355414215344735,1.7350211265978583,1.7216984479972055,1.724581998332376,1.6325559288318798,1.7637290157043328,1.7119856307119385,1.6731748585877597,1.8517817180684424,2.0498207072740646,1.8680189339068942,1.7965950055383315,1.5903826971810853,1.6113688650492028,1.545171753395885,1.537640919502777,1.4871954472612285,1.509520076314447,1.5421458576826732,1.4762408932737159,1.5414777670486217,1.4282658897776197,1.3824785597826545,1.413527142196659,1.40916558368789,1.3697801295757455,1.4298057091935692,1.535617062801579,1.5090002048899442,1.6210166757303925,1.6659641433987362,1.7157226288267728,1.7197771690063821,1.6657460471658763,1.5706611023776667,1.6628131941768405,1.7880076005506522,1.7085919610366442,1.670025876713668,1.8221512236399502,1.8313741907703676,1.723190462940399,1.8779195796438632,2.0910784923297263,1.9166731558099048,1.8315836225931863,1.9964759720864382,2.1481002872136172,2.103146256999969,2.080758390695808,2.6418433725239825,2.5604770971750352,2.4077742509279902,2.278227130986446,1.9559738481369404,1.7975167678706845,2.1531624427841716,1.9523491533544564,2.0971141297062386,1.64903224390792,1.5775058628968548,1.4097150345418668,1.3751151699495154,1.2207736990988385,1.221773480805456,1.222005109829375,1.2654028837022824,1.2618462432108115,1.2458386013690406,1.423895365370777,1.2554130564068144,0.9511660948024848,1.15966881795959,1.5525261534206878,1.2324552946447216,1.7965602600090051,2.0727803664093134,2.82084594410691],[1.2338994568751007,1.320185611928199,1.4961404182784268,1.06825823615369,0.9763415673475894,0.9667890256119329,0.7180101618568892,0.7786257819128997,0.6703529986018867,0.628991482428764,0.6421983010002447,0.7309444401437803,0.7152876401605213,0.6821342264571887,0.7933651354351579,0.8144730190307327,0.835802803334835,0.9303909426733291,1.0969736510823103,1.1669254676382304,1.3036564402641573,1.432810765811004,1.7177722442467322,1.8191031692416952,1.779765699202392,1.351673712203322,1.1911254302976209,1.0389283037562786,0.9835068863688992,0.9083979476129967,0.9158384894324294,0.9040722092409448,0.9517167156248871,0.9625893129729952,0.9947223277545134,1.020038050354163,1.0451953888360668,1.2054291696851027,1.216961464034582,1.4015019971687876,1.3692560125925721,1.3415559451570507,1.413438439196067,1.4785777151143802,1.968771560953321,2.3277955396086174,2.649785992247109,1.7807084541565832,1.7158830198267228,1.9992511925970187,1.9916933550807325,1.873603141298755,1.7734986444415994,1.6307205094797448,1.7673621113817375,1.7094415715276192,1.6524576281134529,1.5000414416244212,1.5443957538667734,1.8440584065286179,1.705775879332346,1.4615828717171124,1.320714342050351,1.5031976828908755,1.4872937293464061,1.334603407310915,1.3058939378824634,1.0934394754262085,1.0914357916322235,0.9789189654033135,1.110696883921217,1.3938738358969411,1.03999427771036,1.179615557565589,1.0628548942923128,1.2800257531350405,1.1729487538282566,1.1147791177570723,1.1736009014566706,1.2609828361594102,1.2163010975369852,1.3128602796599882,1.2827507698988079,1.3179745716313127,1.1382955755876962,1.1374999075445467,1.207261782655378,1.1190865862205392,1.116906947470046,1.0948671754526196,1.0292527934362627,1.156997274524926,1.0210094251652908,0.918215291092409,0.8787817691849724,0.8691238320046223,0.9272972213576834,0.759866405168086,0.6941269944619478,0.7693169582662215,0.7702175304167991,0.9152976131655967,0.9229063672925539,0.9377039901574185,1.3899863583577408,1.033761557261123,1.0746226929188893,1.0436830426697365,1.0482631406922465,1.0270680115457325,0.9847292024579422,0.8537661614285342,0.7005292896656433,0.6469244321150801,0.7251610648228163,0.7697916453995861,0.9104835324978843,0.9723265334278607,1.1207525805774692,0.8867279404616987,0.8118037620691696,0.7347599156568358,0.684773759007274,0.6679924173462608,0.5815264605433192,0.624504413201773,0.9955991548100396,0.7874689472210741,0.9556213005912209,0.9823801824273852,1.0732850590233214,1.0883326976902197,1.1055797960983942,1.0766051913134296,1.0545049834363145,1.0062756706814355,0.9803399847607328,0.8260654396858822,0.7516470009296532,0.8937183156486076,1.1014017250395252,1.3930966410016823,1.1633153316421236,1.053160807628164,1.1255767388390705,0.973056507138786,0.8845739824784553,0.8209631664147817,0.767126426669686,0.6992162717315837,0.8199877021457166,0.7990465035151679,0.9948158928634109,1.2002244530144557,0.892409778824797,0.8235127795049028,0.7376711458088482,0.8019840143422903,0.8153123605927045,0.9035935756543899,0.9121250603998442,0.9860325740584729,1.0604238230619873,1.1751502362106967,1.4031584506967911,1.5227009918764345,1.4158468564067013,2.0125697020100928,1.582010406139123,1.3723053043187197,1.1203743251289469,1.0382522241509524,1.0801076780762906,1.0603236301540102,0.9990591250598511,0.9759589370692173,0.9323670585537688,0.9749727002754429,1.0043436070384757,1.083212840662257,1.2636023276547501,1.041653601987437,1.1559624530504804,1.2497317607096767,1.2407662101589592,1.2949053225921776,1.4333269903974182,1.771001712155579,1.7185445109982456,1.6144782849849184,1.8396946087496329,1.4911569565544776,1.606751102830935,1.4686657005658046,1.3532129455215869,1.4675078695464425,1.3812780133343259,1.261804140511975,1.2265954784958075,1.1976319624223681,1.358678473192103,1.2764818383073158,1.2125625827779796,1.4507996826771659,1.5300017774049368,1.452569057588422,1.6036978459529203,1.8090267111334906,1.6989296998994692,1.6992270962088987,1.9728575285768746,2.0475622282728922,1.8579100925093555,2.0087478436641035,2.2572154076321107,2.338753383569601,2.32072408106575,2.414420543491222,2.169853440089375,2.198042690675683,2.250641901057097,2.2725896870424815,2.445575599193903,1.76179818431668,1.7561117460048297,1.6261155898345916,1.5297743186663129,1.5652163039906344,1.6133424540794592,1.6099802797900327,1.4587036813232865,1.5854658761791296,1.5485366671854683,1.467453345039307,1.6121722977642894,1.8148784457984086,1.669686943310753,1.5338956123513472,1.3775566823018752,1.3741832982522104,1.299769871588248,1.3850289841640688,1.2883792363853355,1.381724473145968,1.324866395705586,1.2973743773430817,1.4703041258781093,1.3420254859973737,1.2877267328413984,1.4294965209024357,1.486034157986869,1.4620625311152755,1.5603582114367023,1.6861904623372113,1.6948059927189962,1.8182267171044755,1.8910841893805868,1.9388936200210536,1.913000604698972,1.8003417485850208,1.6282561886184574,1.6929965853771491,1.9141385401452882,1.820349483768784,1.6802850085017333,1.8738312829067827,1.9379934915377528,1.7302088708273458,1.8378610718983708,2.135203943868702,1.976956065883367,1.7675003138451861,1.9316479122091388,2.1580803347290125,2.1415983715294176,2.2135155007495366,2.743183252655629,2.7574919391405373,2.6564121556119127,2.5015880554889143,2.142017757997195,1.9537760147404732,2.256215530804028,2.065679369771247,2.230221399034916,1.6824123257406334,1.556185003831181,1.296510711026207,1.1709700506603749,1.0227163634662317,1.1437734314520571,1.1382123099898958,1.2774297350111488,1.1685011118796147,1.2105529841212843,1.5171023335790597,1.3795029410068673,0.8973031611491501,1.275527203164532,1.8001117852704747,1.5575765889875135,1.808641059354916,2.0923739239617367,3.244186383398984],[0.9960176942022587,1.1140717049801343,1.325275478800706,0.9131876211448587,0.8954471992492372,0.821907815220537,0.6336592519543716,0.67709254709873,0.5850752712192484,0.5802367611191503,0.5975911938792052,0.6631621552561898,0.6882878545374002,0.6677881135961643,0.7812947124226788,0.7916712941746504,0.8333692270549069,0.9151479938561882,1.0763640385651367,1.1138832259961808,1.2382731469986932,1.3309866276111364,1.6371624952281483,1.7144591140493006,1.757029815249412,1.308894271442421,1.1245667531694028,1.0096468590690986,0.9502220652271357,0.8784515339764805,0.8890750012055685,0.8636683601849322,0.897862510219921,0.9155624630958601,0.94306305100025,0.9785383759633052,0.9921359762592116,1.1358656729927181,1.1358842264656983,1.2941904709701246,1.256610908759013,1.2422804578278088,1.2949588731374237,1.386421271272297,1.9156846588955863,2.27053374019671,2.6313349704501667,1.720523566085187,1.6491561950363502,1.9409127512734585,1.903738962767371,1.8748015657402501,1.6830398172677128,1.5477531896303827,1.666275461638211,1.5721731994209345,1.4888014683646733,1.3866841518909785,1.3834040365437317,1.7363144767203107,1.571366136903225,1.3567494602840386,1.2366220716845981,1.3899964260656252,1.3875386752682461,1.2416600004262004,1.2589992335716207,1.0598370239005128,1.0804119608005593,0.9844493548574629,1.1114707469565086,1.4089903487745885,1.0469473364898767,1.1760797788948005,1.05011413734011,1.2676743630173286,1.113936324875128,1.0556647326035733,1.0974713824108469,1.174121721491937,1.126692455715309,1.2283614169104953,1.236342682076252,1.2398592419170469,1.067579405753445,1.0494540533834404,1.134028990068686,1.0466788191117287,1.0553918284020485,1.025213746289701,0.9922617502570266,1.1279423563380224,1.0040301884986833,0.8932930094162129,0.8472763031749431,0.8519065210861114,0.8883684151919338,0.7273719835541695,0.662729000564254,0.706892907304098,0.7397528177452041,0.8441705990827169,0.8728278123978375,0.8659786854293097,1.3098972757397342,0.9630443864624548,0.9892486325253751,0.9683710217719819,0.9431306332161944,0.9450559350378214,0.8832694073967904,0.7958420818684037,0.6506354420202736,0.6441066279403287,0.7153988517951707,0.7786253378925176,0.9048713784203128,0.969057740216816,1.115221801539735,0.8769265691254597,0.8256633136874164,0.7513447187954665,0.7218402866650003,0.6801612729765302,0.5661259858062166,0.6163114760958366,0.9188282896585855,0.7562634204023,0.8964073848950905,0.9245154154781685,1.0216749432168888,1.0361784213332224,1.0416560199826241,1.0003133766638443,0.9930393384794446,0.9697128210406323,0.9690265665930136,0.8347862594070651,0.756143870946957,0.8806145572629241,1.0711192244094503,1.3056904276411367,1.109841629818232,1.016707549500416,1.0782239553839896,0.9436339761090222,0.8702386499578346,0.8074416108814302,0.7459483692467636,0.6703578231880281,0.7433721439127612,0.7000103694188506,0.8688561056365245,1.0846232579693764,0.8421159659321039,0.7423598501857946,0.683881672254142,0.7377851263816724,0.7733260689031806,0.8452586829276422,0.8765864765787144,0.9296286444972567,1.0107322235895253,1.0877727690306291,1.276468218360733,1.4316707505420334,1.3043111169005512,1.8068034838269715,1.4272793625292857,1.28267275815615,1.0604364459991247,1.0018896215183377,1.016044949453794,0.9987052335704009,0.9387461245206301,0.9177188597973239,0.8916562117866994,0.9137681720195583,0.9410136238731966,1.0058067968797382,1.1687303781764051,0.9809568957155336,1.07530467195368,1.1500269273210355,1.1504124298211034,1.184193189674693,1.3311317271530876,1.6066844577080506,1.607005372756535,1.5224977078588702,1.7705092815035341,1.3945289235365939,1.49529569078708,1.3724671858612256,1.2639648479218981,1.3924894162143988,1.3154692360610085,1.2071711977036002,1.1322385884750068,1.125887077942395,1.1990192293987825,1.1134053576447203,1.058795622771808,1.242127445785757,1.3100323538296241,1.2415957793057926,1.372051674350329,1.5525086014005058,1.4535766885898649,1.4665674751380466,1.722117031837135,1.79578422171316,1.6327295711474703,1.7866326836562139,2.0355592186445666,2.0954753241045814,2.081295867296984,2.123854607614616,1.8835863708684601,1.9289234482430162,1.988672874149089,2.0544546779043062,2.1617056695602086,1.5339407420377975,1.528860373657001,1.4217935428460229,1.3531216550603085,1.4051435824253968,1.4249947918968608,1.4119853440068904,1.3171246605679372,1.4568670954914154,1.3906477615888557,1.328778656137104,1.5105200627451103,1.7091451710442866,1.53174146976995,1.484265201564885,1.2457795664067668,1.2788209221559057,1.1994470804573385,1.2289026500725937,1.1639721255750186,1.240149388912691,1.207223706027874,1.1603538366189254,1.2895106905187594,1.1748396721342995,1.1318571999515281,1.2269819387338963,1.2726457651115446,1.262997366452366,1.3398504301006375,1.4492003855490119,1.4693355927616176,1.6080285301225787,1.6517705798766364,1.6961521126542634,1.6593125228406247,1.555772322913868,1.3934630727549102,1.4689573284690702,1.6620755911359797,1.5639940668696228,1.4487106206319607,1.622880476358095,1.6679098087083675,1.4865663390172967,1.6095780954896124,1.8778905324272586,1.6927437723610956,1.5543215599651965,1.7134690996171638,1.9131798235267206,1.8548616812410412,1.8859616138155504,2.4470875593145753,2.412079695317524,2.3469553336666356,2.2135716662605947,1.8539153442151688,1.7133919129966215,2.0207174054678605,1.7650094211136114,1.8673637870070745,1.3319037037772412,1.300991638712752,1.130348652047784,1.0604894325330885,0.9363306882901551,0.9986015719408191,0.9978383722173425,1.080309678719074,1.0348372711660847,1.0583831854750152,1.2992061291580912,1.1624641926547523,0.7482975838896436,1.0796756284884632,1.5538304258964202,1.3162556580832534,1.6001143168341523,1.900235392782978,3.052024197612706],[0.9188366093763223,1.0441485441640206,1.2527586673964708,0.8366730314124894,0.8646628847944542,0.7721137299808781,0.6459520847428274,0.7042950231206407,0.6335416860984623,0.6973049656076146,0.7260849477330724,0.766653846988522,0.8563971964152179,0.8405108171771422,0.9968673933799306,1.0182344354326818,1.078064876399227,1.1885423551917973,1.3585157373587229,1.407262918939309,1.5509376269606965,1.635477693609661,1.946809194132422,2.021448965403803,2.0209463919971125,1.5993601812012748,1.3989561138604398,1.2714362198395204,1.2133962569089183,1.114805702538721,1.151568069007213,1.0767790979356602,1.1094853243787697,1.1827904633150643,1.1989816010761698,1.2464189402198966,1.2322102607491545,1.4113504285222673,1.3948184137531263,1.56787861427654,1.525457538092141,1.517480925334829,1.5730426729080331,1.6527725678790408,2.1326555215073704,2.3888831609835526,2.8110302379479277,1.9571366215458397,1.8528471432580784,2.1231808521340065,2.1227919371147785,2.0648995001249775,1.9235610254716293,1.8254590153413888,1.8935926083704695,1.8322493086681124,1.7368192894965542,1.6583597639720495,1.6606574367823594,1.984540721049879,1.832365941759678,1.6713794196249387,1.547058422936746,1.7202759901395073,1.6999138783328807,1.545794589064892,1.5663507405237966,1.3593315341917978,1.3558021202150845,1.266356626856693,1.368878533932666,1.6429316382183636,1.3279200653628946,1.4319348615274399,1.3470598537302179,1.5426800461147079,1.4156329781724009,1.3554036906649332,1.396115886702594,1.4623443749896992,1.3981393758827865,1.4891187734455158,1.431260048554897,1.467939440245665,1.2931413627277262,1.293918980665255,1.3992156323488365,1.2987618139196102,1.3411031099493727,1.2958130795389105,1.2720129093172385,1.3970448696261972,1.2767177487720907,1.1559787317874763,1.088323236495907,1.091931989406769,1.0800534848648111,0.9381858215807142,0.8378116547625588,0.8205199437117285,0.9015638938607343,0.9421847212920873,1.032027726715364,0.9965170860509917,1.4358742283024526,1.0841944442294233,1.0851447192655026,1.07356724372439,1.028291663073889,1.0192734865482047,0.917605555090897,0.8842768263805078,0.7337143039812447,0.7778879820722859,0.8950832862491317,0.9710911963771013,1.129514952159785,1.2070987929923274,1.3809563312932853,1.1385495308109863,1.0655982982750218,0.9609558652992047,0.9161831910720241,0.8567934006150573,0.6811492720373349,0.7152581261161707,0.8993944756113407,0.8397078880464982,0.9878364619634248,1.05520277094841,1.1344576257283703,1.1514662982164683,1.1882137416474612,1.1497514678845386,1.147120223593186,1.1051299817602946,1.0771610533588276,0.9453154030272468,0.8977214222648116,1.061625138322234,1.2965949568167174,1.531308625070764,1.3685760856548943,1.2487484049286375,1.3217495414043425,1.1743351200050178,1.0773191786335532,0.9994102245181372,0.905701895120506,0.7788396158681702,0.818754814381311,0.7487948862273489,0.9111770652457474,1.0512122850751653,0.8823579758877013,0.8261532896774272,0.8021641000332614,0.8465465775487976,0.9281593556770797,0.9711543234705663,1.0492069741454977,1.1361676864655268,1.2186615042874638,1.3144273372901731,1.4566418062422721,1.5877957065704098,1.4423854195847843,1.8443834417384017,1.4250120212611483,1.3474086365178572,1.2032506564521257,1.1822816038141333,1.2105130439995646,1.1951483375164496,1.1425992910407097,1.1050639019525572,1.0752512281354296,1.0882722677879288,1.1449551824231061,1.2004194721346533,1.349376297124943,1.1578815227691852,1.2692104054811701,1.3364396321199914,1.3523040796654995,1.4034183141038017,1.5923419215342633,1.8201522518555224,1.7729686658732613,1.734549416254533,1.96358612738324,1.6118351614441002,1.658900550340257,1.5152462072696873,1.3919994980061388,1.4973289060891641,1.4356163981918098,1.301892616952416,1.2066389850720312,1.1867738247739845,1.2597517911111775,1.1498241086832315,1.0864820981358463,1.2622086689836993,1.3254782388633204,1.2219180419941005,1.3406455758629099,1.5431127713979524,1.4325166845903718,1.414078922631598,1.6779791211428847,1.765546937474967,1.5736486058870542,1.7194724678961608,2.00979499357212,2.064134698283895,2.084919864322669,2.166653050116132,1.9091576919821107,1.9639957684967007,2.0742611983950896,2.0991124681808815,2.2676755720475414,1.6261038499727822,1.6248761186401548,1.5190447577247777,1.4314898306473245,1.521837886353706,1.5507924692491528,1.5080656966476658,1.4184287083879643,1.5903987030638982,1.5271801452390494,1.4428343955958145,1.6479944224125787,1.8671710465248474,1.6620370680258953,1.578049755296178,1.3214318873339943,1.3713389791893198,1.2798153166420358,1.294872012669395,1.2270734692515028,1.2812296887063734,1.25892076438003,1.206000840145623,1.3145159865298168,1.1947939397263316,1.1518525074389576,1.2293412992818435,1.2585262136201514,1.2301329024029835,1.3030683781968317,1.431707845868457,1.4343463243532524,1.5584903971909547,1.6186628140583823,1.6826932913608714,1.6588394330456184,1.5689275992015446,1.4181571029654987,1.5217181057009315,1.7034429898131644,1.5823308946750818,1.504317972193375,1.6994674105047782,1.725104160846552,1.546996839979254,1.7240009589602603,1.993242826513419,1.7685601253816685,1.659644273943013,1.8654116212477494,2.0629647606995434,1.9697420541944313,1.9376081122966962,2.549834439908935,2.449116833698827,2.409184140244059,2.191940477176966,1.828904706563081,1.647359301004413,1.9430964358091667,1.7104144282043015,1.848625616441494,1.3565627366390187,1.3243392802992102,1.135975464239006,1.1043693573084006,0.9680208517025519,0.9890520246453803,1.0065618932058091,1.0599651802627013,1.0584630094335625,1.0604355462083206,1.230731049482599,1.0900612496997917,0.7548373738084986,1.00113810956395,1.4650673075177092,1.2203431911398213,1.5680951899419255,1.8994789012411422,3.0307061233841663],[0.9913009854265671,1.074857236775708,1.2268212788314716,0.8535699249935643,0.8175137636353186,0.7215011079479412,0.5781879904382666,0.6225219113004454,0.5645846853344538,0.6328495037678302,0.6578392001733022,0.6900686459500911,0.7896076433604351,0.7899315656010283,0.9380127278995879,0.9637242992425028,1.0312437016426244,1.154275549743802,1.3576366349228977,1.400773654935933,1.5708575228568353,1.6717464653448302,2.0051155485092114,2.0897494216839925,2.067189783842384,1.6206616209106712,1.3959632146710839,1.2548431524410142,1.17382947760263,1.0549340228124253,1.0955256026241857,1.0105619862370996,1.0324275193988939,1.1253876295112673,1.1456987511036654,1.2079399566498599,1.1765209480244687,1.3831760789970335,1.3797511538264973,1.5695818438657834,1.5357854000078346,1.5296874960654223,1.597003675980511,1.6960146759251602,2.1873761707694204,2.434380798532642,2.878388389981637,2.0348765442426897,1.9138813035663476,2.186188722939928,2.192363667103068,2.095771175348481,1.9647208471471254,1.8434139211390947,1.9000079244217225,1.876733477336631,1.7757366844512077,1.6773938253067542,1.686733521714665,2.0343420732880424,1.8486414051176392,1.6939563549982,1.5650218296531944,1.741589142528201,1.7352811672869242,1.5547475728135132,1.5866372941671127,1.344793365606988,1.3466538641190429,1.245764909736916,1.353775441978922,1.6463620849488698,1.319592632590378,1.4378718801498922,1.3283486585473014,1.5290722104382328,1.4077074771863531,1.3389854144357038,1.3809814926290684,1.4641136045583825,1.3760161993136528,1.4818928190609548,1.406070998152449,1.4403620718794712,1.2749673413429938,1.2591027523057938,1.3785485746138872,1.2554813556458184,1.3185642893083152,1.2561255904756599,1.2362464092412988,1.3683807983783312,1.228328985494529,1.1040869154977238,1.0355427506768213,1.0433640690835981,1.002715021527212,0.8495647389814679,0.7419894797680128,0.7315610680423459,0.8220490147185445,0.8552060054266298,0.9569922787348153,0.9137651819504706,1.384469895051206,1.0102769791553092,1.0333281306543032,1.0239238326549245,0.949810895508033,0.9411153174127207,0.835778616487694,0.808473488423921,0.6546203088396462,0.7196264222493125,0.8396278645579157,0.9369236524530007,1.1086121490981997,1.2105173992171916,1.4048608757515877,1.130467149357939,1.0541839752416433,0.9364807518526528,0.910853527616665,0.8186258214841271,0.6233256340468013,0.6634290735276748,0.8228883024477635,0.7651172902159131,0.9160421297903912,0.9930526193482465,1.0936941812584657,1.1347959666551661,1.184832828993411,1.129295319729544,1.120269440890206,1.071202893861602,1.0365722724443438,0.9211506178557076,0.8924820272547412,1.047377707941828,1.309957210107722,1.5514737747218683,1.3790116593954596,1.2395681762920108,1.3115644057845985,1.1448790827548263,1.0421237300032322,0.9391449358793413,0.8351110689176124,0.7027128717924475,0.7328365445661117,0.6597159190652456,0.8206942170711928,1.0641692850532207,0.845391350980951,0.7343994158729445,0.7145614663035648,0.7569534618270147,0.8548169501712777,0.8876985154286148,0.9961136132551711,1.0963655274656765,1.1972068304737669,1.2950006780155414,1.4503628453548376,1.5856931864510528,1.4500733603791467,1.8673892781484545,1.4637371749695762,1.3598738266499029,1.1957969617978403,1.1561094565769745,1.1893210152136158,1.1648142953818061,1.1023329128004955,1.0507093990420295,1.0176800607764183,1.0403402393321741,1.1061886429133658,1.1626416012092189,1.3318783593263814,1.1100383513046554,1.2517443171612594,1.345835678954029,1.3538678400011015,1.4255098621286477,1.6035646278443982,1.8618976940332634,1.8235712944335067,1.7628132990097096,1.9741276046060068,1.6286162754430606,1.687251071475091,1.5489411908001676,1.4418557404382424,1.5581047126632948,1.419224810151832,1.2988311110671755,1.1925239613088088,1.1489782525404286,1.2398714590811661,1.1167497814355496,1.0295238419734092,1.220242247528468,1.3140775108028528,1.1851336948189155,1.2791069274240754,1.5269816063735555,1.4417445464644998,1.3999975546882142,1.6718617134364284,1.811020265163945,1.6089979467641562,1.7276694016493002,2.0671445523422456,2.0794726892771083,2.171543650860939,2.222885791505308,1.943506641930767,2.039145654061763,2.1806782889210807,2.168482724831645,2.3283984131903717,1.7200905138809004,1.7052037258287331,1.579568609120924,1.4815299412610208,1.6033929569610808,1.6399463723907306,1.5389149126045223,1.477999862776334,1.6846740656548667,1.608466020368692,1.4907853883148712,1.6760592060447703,1.9304262011180653,1.6928074891891562,1.5965367981764467,1.338429265399418,1.3584272631729954,1.3106687287659566,1.3099083684898905,1.2466965561971493,1.3184011337410912,1.2269192249295078,1.1912838096695797,1.3201151768710242,1.1892900585767365,1.1120765812561375,1.226814007470178,1.2787963389988373,1.244751138983459,1.31812199691382,1.4756588997520474,1.4925639699837792,1.5945647066182829,1.6851880270076587,1.7716588599146694,1.728137530166222,1.640137420001185,1.453989005318464,1.566931821438244,1.7818366115211153,1.6127342028698397,1.54112098914671,1.759509287115922,1.7713738338983462,1.5584997425077498,1.7878860602977273,2.067424110083105,1.7800381907428515,1.6809894061369934,1.9426316003616442,2.1391972101543972,1.98654342365444,1.89756048296423,2.535403232217886,2.365892144707396,2.4439716322260527,2.130428667125435,1.78260031385201,1.5917905113597748,1.8015544273961386,1.565817230709135,1.6741488583549444,1.2480889672927136,1.2502719207246624,1.0547523647375172,1.0450237082840623,0.8879772142870224,0.9233962277720449,0.9604776103617241,1.0308172426086175,0.9976970981997928,1.0233356830828442,1.2037448723985076,1.0903594202271367,0.7023641531173639,0.9965903368634726,1.479229262874361,1.3743251167308206,1.533957284334784,2.049923923992522,3.4679715579307233],[1.425228286539175,1.4888881740218456,1.604056511246094,1.444562728177048,1.3568975148283202,1.39967679003679,1.4285970513436455,1.432540757359255,1.536960068876758,1.6754000763800543,1.7354397488828714,1.6783426086831443,1.730787642155817,1.8739505153167628,1.982904662027601,1.9157644290019424,1.9485568007288125,2.1310452991861353,2.3575153347770303,2.2904833001292855,2.5096762304803577,2.502243674392788,2.870109557305248,2.9647011393882168,2.8365428712581315,2.516727269830457,2.24477884708049,2.154523574955427,2.067281745586784,1.9068583735258595,2.0684302925146665,1.8890430306899937,1.9278388785662948,2.027361113046352,1.9874615511825073,2.050358800692928,1.930030497041587,2.1250136610776025,2.0825766318333305,2.1443615846551696,2.191516204989701,2.3050623767227836,2.318489767763255,2.3848239355331313,2.800892704627292,2.909505151866356,3.3087514707793977,2.6088380598217826,2.400110007777926,2.593496382949644,2.674889089437932,2.533817297004191,2.4675647272097234,2.3463652483487025,2.3645865199760854,2.3851473719459633,2.3055844547537054,2.3064096306953465,2.278289719415759,2.479132705673716,2.480515872825369,2.4746888031756877,2.3843458352801843,2.5967818154849924,2.5274660398298123,2.3836003403615464,2.5467958456862227,2.3244551945943606,2.3885036252961256,2.3155843144959083,2.3991222580004954,2.662993515189358,2.397409156948363,2.47291849656134,2.3482701071537515,2.3911516412855325,2.3172730435208804,2.2361984062083198,2.2101392343795907,2.2121559990040454,2.063578849995732,2.0822576478608648,1.93789406427668,1.9662638990562775,1.8753829093960273,1.9092995349555164,2.090617947069041,1.9605462453749578,2.1383480534968125,2.105354533586513,2.1548109252067245,2.2626284418782245,2.1739683886041,2.097545746437987,2.0426102381013886,2.0755219394465163,2.05152472026229,1.8076008789031508,1.6756940413640622,1.5353545105272992,1.6357727137572065,1.5244796116713928,1.6383852097021223,1.5112084982531013,1.8589504443881475,1.4493410542101919,1.3999793244597087,1.3626099163116367,1.324996019037016,1.3531508702717094,1.3012248605828767,1.3771111901156943,1.4174819282199793,1.4938103282083237,1.7060665846168728,1.8089558407805855,2.0216424621521263,2.1677380776732713,2.402863189126019,2.1757928907397446,2.0938326209420683,1.9913159627928705,1.964304569247253,1.7985427980653175,1.5698726366653908,1.4580350012358323,1.3890100717650133,1.2973390258219146,1.3297362791161431,1.388396171219207,1.4031040516460016,1.4048274390736815,1.4601034251372442,1.4594168904894187,1.4823639554295307,1.4961140097695875,1.4078800179595619,1.4825203261030218,1.5947490178078163,1.7438356111935047,2.1209128013720084,2.2865237381700516,2.1938610525155893,2.0306079440897054,2.0495935561101235,1.9404170347657654,1.8404845376037255,1.7173858222802691,1.5567423048635585,1.4824443812837254,1.377600219616247,1.4417338110911513,1.4149694912076092,1.6876533480864873,1.6640116539350056,1.50017464527392,1.5460372140947103,1.4551886706271888,1.6224837742186833,1.5032251671586034,1.6128969893410465,1.774925042622473,1.840712400857371,1.8795899663797526,1.8471564492727324,2.007397017938651,1.7407982144688892,1.9713450206890801,1.6322468179148482,1.6820402166854382,1.5712126886336326,1.6938596569026294,1.6904870163700187,1.6791473184756538,1.6774523102328687,1.6169568898619087,1.6899525406595188,1.6324177488779765,1.6876556440901407,1.6619072889142736,1.7010889039151758,1.546899687554458,1.6116609778772057,1.66845245967313,1.6922034489716824,1.8346881324400013,2.101056960492941,2.2557852031967784,2.2722618024156063,2.1414540910694155,2.2448547517663173,1.8970522992824081,1.8407331434905336,1.6838962858147426,1.618691099902837,1.7707832523173046,1.667042650159573,1.5922080202295656,1.5392006655185417,1.4891083204111912,1.601600886030969,1.4667352215729748,1.3759244333972482,1.5457627383885069,1.624605101277479,1.4950225358857039,1.5709381776174285,1.7730772500625442,1.6852659455518826,1.6373735799477835,1.8706222359852112,1.9886810844776988,1.795156011521792,1.8924982913145199,2.22208866014796,2.217655407218099,2.309794801956858,2.4123623602874513,2.171462828377421,2.25798675536106,2.446414911002173,2.480735273897638,2.600620914719903,2.1184578731157804,2.0912562912560113,2.0082911264266565,1.889394455319597,2.0569492582510955,2.0892678685931054,1.9616043075873186,1.9309783192232781,2.1776183167935086,2.0950426882681716,1.9296637724253702,2.14720237297614,2.4582699257911256,2.180493672218503,1.9918514953739606,1.7178085605403524,1.7128529118695435,1.7118269192114144,1.706804494090094,1.6199003668101581,1.6789386661167935,1.575363563534788,1.5312517544321491,1.6565778805839617,1.505036834409318,1.4188108955483127,1.5223447405741823,1.5435769589417958,1.501287421376757,1.5632782638827716,1.70454868788555,1.6936676563748476,1.7801593287431243,1.861823544320863,1.9537545000429708,1.946581421689944,1.9073392738191728,1.7446722970306137,1.8890072083065472,2.06106398128652,1.8806260723281178,1.8755650698813267,2.099478936048415,2.070450476929438,1.893887906672828,2.1774184634411657,2.4130203444922045,2.1113328283964523,2.073858721365788,2.384689694093824,2.5364458655309394,2.351972158023296,2.1741227702062993,2.823056717007869,2.5367027087300547,2.6397105704267756,2.2743271216232146,1.9828923424317746,1.8042510834922167,1.9897048262413102,1.8085337157769328,1.931358129884099,1.5910628286904376,1.598034245145714,1.388719875386426,1.382603677872693,1.3071414629064277,1.30625929550472,1.3120524684269947,1.3918016825067332,1.325033230098724,1.3747828307809664,1.5612545548419006,1.471670798546854,1.2649188497796406,1.467022557905547,1.7758235786312082,1.6637236554541923,1.7627555965653083,2.257585136015468,3.6288427289733094],[1.2582040093092006,1.3077715654764916,1.396984461673466,1.1018534336756873,0.9865757843162255,0.9268674948746264,0.7830996051502588,0.7969813565096756,0.7736259949094583,0.8307203812245432,0.8611099625682278,0.8967791576869177,0.937635473719369,0.9785182309939279,1.092636056815315,1.100446273278421,1.1726424700640712,1.2745985675807474,1.4844301762292933,1.5178248173538278,1.6910004394622313,1.767202780327398,2.11490258330395,2.19701855481495,2.169919403506701,1.7450890082138173,1.5034191489228819,1.354083781545406,1.2757520447680792,1.1670820410202067,1.2151612185220586,1.1139227587260994,1.126182759549198,1.224262975950072,1.2430043917696059,1.3113579568042608,1.254344864445347,1.4550773068200744,1.4511745365852011,1.6296213621877647,1.600958127841744,1.615513490088208,1.6786051999017122,1.7538886011091088,2.2050338082441607,2.388234157024995,2.843860702602579,2.0556223264989137,1.9529140951702126,2.1470482689506056,2.131789923709245,2.0329412181824806,1.9724118559186492,1.891647964842218,1.9421466478418623,1.9418725429481414,1.8826118438804786,1.7656384136315173,1.7975392982588465,2.176458215315189,1.9792113261849524,1.8313803634612926,1.6881133819301624,1.8957599676230394,1.8820506903374288,1.6662009779399651,1.735929958635889,1.4799023260360273,1.4784761878204955,1.3970814077429912,1.5033581951689334,1.797917201119168,1.4870306183502124,1.585951100243468,1.4739995613556873,1.6486757090111537,1.5146539116052686,1.456869677522105,1.4746878562802619,1.5590950741718224,1.4547292238194396,1.5361695050437416,1.4890939233675768,1.515485955952035,1.375908410784161,1.3321152116525592,1.4595726775032036,1.3323948670003842,1.4103388726771704,1.3428506061598824,1.3623426515063204,1.4896212776298627,1.360178239548593,1.2196889659398733,1.1592562136104305,1.1942067154995215,1.1639606932702353,1.0088817087003632,0.9184174545030432,0.8961494241477478,0.9525812711664534,0.9181366152849895,1.0481130515705017,1.0082576162072325,1.3992366394436953,1.123052636539345,1.130221291110239,1.0986151199624223,1.0640198757220496,1.0578556449263312,0.9822380711826008,0.9481683990870321,0.811239976054811,0.8825473005830688,0.9820433803991709,1.0821982147226175,1.2355244851448401,1.3276596658148219,1.5382963045132596,1.2598397344372914,1.202504624237208,1.0996320295800526,1.0778791917105883,0.9870298527643719,0.8380912458535535,0.8455106853206977,0.9855262087310476,0.9233804844796224,1.0285060074517525,1.0933977746185186,1.1896153283606978,1.220655472063195,1.2731708296418338,1.2285502076503811,1.220087560837193,1.1414889830312562,1.127839206356636,1.0126037672293817,1.0292987372007072,1.1564843085054821,1.4028585308408157,1.626904223610085,1.4771510358292574,1.3256812838398158,1.3895384328564073,1.240622005076457,1.1438710053265793,1.0440680908082867,0.9505362670775699,0.8584296243874511,0.8833435828398953,0.8277606450497673,0.9578301871761715,1.2600318401020467,1.0287937213936535,0.8776299149493144,0.8604267970561432,0.8718454640781057,0.9498942091722936,0.9771788950690762,1.0836683538242973,1.1813926897837788,1.267609265778213,1.3706050127655849,1.5571455966572496,1.5842272510095243,1.5159947370587064,1.909419016244706,1.5144423633226634,1.382009077172635,1.2774114195846822,1.2589468265693622,1.2831888888226766,1.2541870950330087,1.1977937673022068,1.1415471008434779,1.1196545385414887,1.1574403204073294,1.216216103797723,1.2620475124121924,1.4427720078148587,1.1940410723460182,1.3477314048389188,1.4577213955142048,1.420257668700676,1.4965131772827318,1.6581235591588888,1.9074995088053508,1.8362290714325884,1.7922919798337478,1.9855585993358167,1.6664143247011978,1.7274872335656066,1.600495997240122,1.5207001423017747,1.6539678766727328,1.527498858789646,1.388243722225803,1.2905838119369721,1.2198346283480965,1.3718263513177764,1.2518644105837846,1.157649047664496,1.3521382333158734,1.4678689309838395,1.337925195270311,1.4165116160065223,1.6921485148072393,1.6333392295221767,1.5783582783587549,1.8573402648853985,2.030211093583743,1.8195362707250624,1.9096047178008653,2.317230578335078,2.280942879348652,2.4234434883602045,2.4390572076708987,2.154954529516159,2.2910666727738125,2.433916030935375,2.3990383753928803,2.541803058218656,1.9749482767418398,1.9158298682336106,1.7643262319083473,1.6351530680935549,1.7572875408010171,1.8146390972188255,1.6886147884197809,1.6072791265730992,1.8202283913023596,1.7426448938228465,1.6046136981047583,1.8268572959131668,2.0402010431831035,1.7814955596826492,1.6661220636064933,1.4378253624573625,1.4550456501374225,1.4228275694201173,1.4587757576523006,1.3842633887649658,1.4620493409294697,1.3469627453463164,1.323361920209058,1.4651939281150823,1.3224856407210102,1.2287721068507493,1.383068723577463,1.4631008428132328,1.4343447359168315,1.507597245981152,1.6945493541816554,1.7227209147575446,1.793932328995444,1.9290131265287125,2.026065687199559,1.9641534752728633,1.864125525833625,1.6531626414910148,1.7787781256153463,2.0143326742800904,1.8110810512319904,1.7322760856927975,1.9735200236862374,1.9851932844535904,1.7306577662473528,1.979743401570268,2.2794276392153057,1.9524266398334553,1.8383462443872638,2.1443001204052456,2.3427557995285286,2.159528114189521,2.035220093574235,2.656396117567244,2.4679741243865827,2.6308558558108466,2.2643710497372673,1.931046939909782,1.7297431689388265,1.8873909700832685,1.6476601639035584,1.7398311416715686,1.3593604301008675,1.3730615497260499,1.1524805532964042,1.1758777634800164,0.998795952026234,1.0561762148115241,1.0914387770177303,1.1767810204005926,1.1228665071932122,1.1359410986721765,1.3650409646375339,1.2839694978886014,0.878861657639163,1.2158292196937452,1.6550812983790184,1.6577486123255982,1.7042525577475107,2.3074232409679296,3.7833719539480737],[1.0424690843077418,1.1141225314230137,1.3316319166640118,1.0937670498458703,1.2138333757566246,1.1435488912259348,1.158940036651753,1.1611515917546793,1.2217621293859937,1.3191298564369467,1.3538758757353249,1.324517654851568,1.4264017685625858,1.439278106177272,1.494538964725617,1.4980397432755603,1.6040930805624651,1.6572812974962563,1.7843988797337154,1.801080146061943,1.9343613275978608,1.9687701187444995,2.2319975188457164,2.278273636523409,2.2788641995143126,1.978077003628485,1.7685459658007459,1.6680717715089626,1.6179457455133575,1.5337703969011152,1.603634200908218,1.4610514267613306,1.5065372038258886,1.5772683241860457,1.574788253771793,1.6419286810417888,1.5607104200352542,1.7172552120571296,1.6718187376182418,1.7771120675022636,1.7748124700520536,1.8057769217701265,1.8148701468698014,1.8335673534357908,2.208971548459085,2.3387665226869867,2.7577022188086477,2.0066427899606643,1.9685877966128178,2.091612590408385,2.0061125977907555,1.9944609668251039,1.9236576632796516,1.9392825875654753,1.9800837137086624,1.9651442059921658,1.9761016503965594,1.8771418051878173,1.9403634082412367,2.3790173011900557,2.1533961561141433,2.048733209136408,1.9585921425225998,2.127029633502299,2.095513439523595,1.9371316952575852,2.0255633950952925,1.8079922788432508,1.8634068332305453,1.7872587388864727,1.9022158157767044,2.1599462844551227,1.8946833789284698,1.995454536736507,1.8171278085641547,2.027822327491485,1.8313059785032266,1.776202634747832,1.738823532194763,1.7780213102986664,1.678006441568486,1.6979348718687923,1.677209450369485,1.6489189068655077,1.5881229295030816,1.5646908158372292,1.690558284369461,1.6303145009251412,1.7156613439484043,1.6577138829740528,1.727054550982298,1.9005147215274896,1.7749440886606938,1.6039365177005989,1.541423013675392,1.596251936406544,1.5574108857090798,1.4694224940592844,1.3784278208303746,1.324120851343746,1.3443028487798558,1.3004555171368224,1.3512288594616286,1.3157860973604734,1.4210854437763043,1.3123942473312915,1.2719185281558367,1.2173234505047692,1.2189019014026732,1.2783503673438468,1.2476857456210737,1.284608222471377,1.2338274759260475,1.3368402686018648,1.463501657614179,1.547430262967676,1.6354760583597676,1.6802885327373884,1.8327572045101828,1.6680471222955515,1.6972152167963708,1.5880053710063708,1.5564093728524695,1.4673630658414947,1.3477139458709892,1.3178182146906186,1.3363203561991024,1.298504247066257,1.3014972747798417,1.3210597586793362,1.3500021393240498,1.3148791239214708,1.3761635729646897,1.3834375370226533,1.4124052586230527,1.422398523288645,1.406221779318481,1.3662861615420454,1.4444077908689676,1.5184808187845193,1.6928126032734667,1.8721757827345988,1.762435126074005,1.6250962306797914,1.6395404312519062,1.567192057834736,1.5091746073780843,1.430889325488065,1.3408074547842848,1.3041505668895685,1.2798011296283267,1.2235723808339276,1.3268174940537016,1.448885042343682,1.2890688836436,1.26971973304555,1.273986207590533,1.2450906793409182,1.3140181965481803,1.312598607688315,1.3821477949612047,1.4727757485089115,1.5367860008721645,1.5928368337100036,1.7548621808892695,1.7496905563399274,1.6791248572213995,2.0092742399430588,1.6722456563608292,1.5794402526877334,1.5005923697094992,1.4778752682121705,1.4847335339316083,1.4697032851246212,1.4379570045903818,1.375853678350031,1.4235748726996713,1.4268777854611834,1.4765480445118497,1.4675341542436324,1.6788826079698422,1.385453874851919,1.4494416003681314,1.5667619880604469,1.5373857504219188,1.6066920458050642,1.803837974638381,1.9000580049683187,1.8563850830652249,1.8006868276232502,1.9918353636656514,1.715316967473481,1.7399267239978162,1.616506558804362,1.5441703316777524,1.6806436932392597,1.6186447500320233,1.4591247002715657,1.3222767786457017,1.410763945350218,1.3191819510992453,1.278199525781883,1.269709350002076,1.3030812448960398,1.3518921977810496,1.3232525597051308,1.371129413391548,1.5244723951045807,1.496647807986355,1.5069140108287677,1.6876642138800662,1.8267736319700232,1.7058286175008894,1.8202177850465464,2.0848545998091796,2.0147709085327206,2.1766469184358135,2.1235349297311243,1.867853499664043,1.98873517004127,2.0969751830723053,2.1710861614828127,2.1517859257240546,1.6980526228694672,1.647672105902222,1.532336892193983,1.4827251176678133,1.537060775568754,1.5464338925703176,1.5160671852927246,1.4458104306557937,1.6156785411451648,1.548063496105757,1.4740426997708918,1.7579856108699745,1.9134906241642846,1.628884569676217,1.718051835598914,1.3404342151549598,1.5070306283083303,1.3706964046838168,1.3720734854197971,1.3088284660614344,1.369001349103243,1.3654005740186468,1.3006383258498673,1.3180084802276721,1.2815357250979136,1.2813674131429837,1.3290589617484119,1.388520872607235,1.411309052639198,1.4495854060697067,1.5516215531000395,1.617664399238238,1.7468347857709223,1.738776485473415,1.8121503514737742,1.7238351601966,1.6349588588421324,1.4827063173723898,1.5486478124626684,1.7394190817714956,1.5863049324480927,1.51575602310796,1.69747473031229,1.6965678747523882,1.502808907365302,1.7203235384409699,1.9601352371799494,1.682496100280806,1.645320512304521,1.869790206637749,2.0447359607554945,1.8811419234671094,1.7786760432901376,2.3494853484141425,2.1294377575390366,2.3033967077165167,1.9615245238891177,1.7027553507020319,1.5990949073286953,1.6729475784465428,1.5106191730994367,1.5627666798767188,1.2812677150634473,1.3244932072212197,1.2693861042595116,1.3379333873800237,1.2459698091440146,1.2370098040301167,1.2685295561175485,1.2696813943852399,1.3145604643092066,1.354803622381622,1.3042991392229986,1.2008116811981064,1.1271815976921777,1.1421294534714648,1.5104192650669104,1.4405078452579767,1.660018580826133,2.1987714815876562,3.5819253629985686],[0.9481305360071783,1.011830669105749,1.1391345618749815,0.8544464870626995,0.8317239645027719,0.7184445434156486,0.6284384087583775,0.6259647090772685,0.6429893298492071,0.6988411295346396,0.726590230626442,0.7175669452388529,0.8163580004865798,0.8472956751372758,0.945794246402115,0.934596486093119,1.0422887251490476,1.1333226028250687,1.3273046491041949,1.3387804819624143,1.4862677748413307,1.5615657359030841,1.870370753350338,1.9381290958286155,1.9991724573756011,1.5756276800952664,1.3323922602349685,1.2035203936503773,1.1187203024026833,0.9902300688176819,1.0518377452443053,0.9209203210021916,0.9492041571697356,1.041429216939256,1.0399968216824913,1.1205096688015406,1.0656565514003074,1.2626942943323873,1.2501028808464878,1.414617206965536,1.411659559838649,1.4157139843812607,1.456641089137543,1.5613332176393475,2.086910759121866,2.324393875790511,2.7751622918721437,1.8698193027458867,1.751190301042998,2.074360281918221,1.9748089548064938,2.0236051247443783,1.7935451817889942,1.7490222618891034,1.7684528675238351,1.69169984879479,1.5975993802324493,1.5322382491199882,1.520243236579514,1.9421436784919404,1.7215341051702329,1.5862630146388108,1.4820991779601917,1.6478834431373557,1.6515825663917048,1.4631078212750583,1.5546131223836428,1.2955561620884983,1.344138891962881,1.2607766076618394,1.3910964176589575,1.696924900987621,1.3617737529744167,1.461627857539626,1.2938602743184373,1.4901003463352331,1.323131406166297,1.2481938497349117,1.2576067218728617,1.3295008631485223,1.2324115843985803,1.3297989438932039,1.2945472554359825,1.2547256117545145,1.1463007191587,1.1149391021927044,1.2490916757277382,1.132509854000301,1.2184455783940564,1.1538953809625787,1.1848236841068798,1.357000354981158,1.2086766695966562,1.0572136594316246,0.9947249067428937,1.0425594609511146,0.992778880740012,0.8451314031271571,0.7464105361843033,0.7398388097949911,0.7473990985484839,0.8024534175036848,0.8476175453519366,0.8168290427074992,1.1428197303342322,0.8703306018706315,0.9057356869647089,0.9116976750828117,0.8287780502319115,0.8506814940712434,0.7766650151887278,0.7470869978544872,0.6659351970262571,0.7396951623422086,0.8689667094037298,0.9812216199640283,1.1135958668319623,1.2189831135176699,1.421227124351956,1.1391793834372859,1.1153929532495883,0.994649365064229,0.9929713341972165,0.8746427769925957,0.712671673364413,0.7293676333641081,0.8051434439251476,0.757897844636629,0.8322457253152062,0.8818559460010719,0.9906017918939715,1.0280738054546135,1.0798239042658335,0.9937085639378925,1.010844708263254,1.0213287071134696,1.0027699115796083,0.9276546547482457,0.9390379709623147,1.0349590405478382,1.2593279579691903,1.490641475447592,1.3268046797224264,1.1895347647870398,1.2310993876769947,1.0799161902461114,1.0062636472613031,0.895324182858231,0.7809477937453598,0.7008254013416326,0.720596941053737,0.6493444703865577,0.7832393456024009,1.2056341681681617,0.9383063732518421,0.6863997567963562,0.6655474071352273,0.6825490732429101,0.7785566340840433,0.7924327026367055,0.9141158165663258,1.0061758824053797,1.123039356338323,1.1820979284366189,1.365955241262623,1.5210578572075062,1.4000249178166626,1.8427386440111058,1.5097805616717397,1.349400322527546,1.1632897973858416,1.054408542549158,1.0694567188143245,1.0426571113214287,0.9748853073768665,0.9055555168991432,0.9022103942616643,0.8985653026424771,0.9898856698378143,1.0154535684811754,1.2815778507524558,0.9580103134873337,1.0967002147108686,1.2154541231258769,1.2131488218567732,1.2685163550547944,1.4677660902414633,1.6876980023110661,1.688159323706492,1.6519109292275787,1.939847798582314,1.5350431154154733,1.6376173980768736,1.504300097012196,1.3838355544757859,1.524831810839649,1.3389546536398949,1.2279196522826192,1.0914516178595937,1.0892552863816278,1.0715561144206112,0.9799834311447068,0.9283817257846377,1.061842330347926,1.1431722345319442,1.0675914527667896,1.140029222230679,1.3583996935692135,1.3380245853408625,1.3272429227065807,1.558928539472514,1.736863950628684,1.5887921935716878,1.6818306516232402,2.036118248924803,1.9337055560785474,2.1318839426414806,2.0254810408171884,1.7664977223683718,1.9113612874637458,2.006771054671864,2.1187338442689345,2.060257570236298,1.6056967530703903,1.5178275363223697,1.3884004924915632,1.2875889955024165,1.3617595065417034,1.4224515051416835,1.3168416365846238,1.2642945154273038,1.479860160478466,1.4171905958412687,1.2961203855904333,1.5108542076656537,1.7285169809407979,1.4704386979724346,1.5004463319831136,1.1791857159200536,1.2052080889949701,1.157077481817525,1.1261631233536238,1.087334394640223,1.1956298856840393,1.0945116744734091,1.0571776916340618,1.1409820244596593,1.0554345401267187,1.0030318123420938,1.107334587254637,1.2060229176534594,1.2207477210022546,1.2681437026094733,1.418974531837345,1.4956739861449373,1.6336081978058512,1.6490366514172312,1.740343664086685,1.6385638445298423,1.5213802855561487,1.3180038180196074,1.4111214529510747,1.6352666321764293,1.451256023300539,1.3526834624326354,1.56931197579559,1.5807003313740633,1.344216811692666,1.5821462081639996,1.8584660086915052,1.5456346617724035,1.4823703020679606,1.7201797956314493,1.937848068123964,1.7304051283509738,1.608451698396552,2.1805406357824175,1.9620404461609144,2.173095446510708,1.8255705929672994,1.5589161853545281,1.4428335715234941,1.5202687653683902,1.2950931750667558,1.332123515035471,1.0783838813180673,1.0935323167904563,0.970992211601644,0.9819160443869893,0.8358271884389414,0.853019329243244,0.8870959931285267,0.9194792904571252,0.9698083903779958,0.9847799290696709,1.0481154310229508,0.9924593570243772,0.779723819439414,0.9357229252083392,1.3509071866711169,1.376589432660415,1.4967960048123472,2.165488342166291,3.667332997200449],[0.9047626898701124,0.9672160900077392,1.0606232072145758,0.8209829082095811,0.7705684188629534,0.6860174934321605,0.6448913069201025,0.6443319475981523,0.7078570902581637,0.8032608016727002,0.850334864251789,0.8130093073731706,0.913350074788893,0.9849289548999683,1.0898269134937761,1.0565286580918245,1.1540533577641285,1.2645123981295971,1.46296952587714,1.4589686034174483,1.606095189292546,1.6639654735217055,1.9547778124014785,2.0228742259334083,2.092005429646499,1.6940252004658993,1.4384944280608105,1.3163011551210222,1.2246167372356769,1.0936354334220741,1.183029962170008,1.035968574730882,1.078238529637741,1.168909035480798,1.1470558893357046,1.2323336181798326,1.1460445270390933,1.3509628151274156,1.3322243956702617,1.460178760030709,1.483116824119623,1.5178932384369166,1.5484217205514847,1.6480673028706325,2.1615366171662154,2.3713022351505355,2.8216633259018455,1.9277885269990178,1.7990840322077104,2.102023495366873,1.9848872213790432,2.0740284853092548,1.8217657208342806,1.8154324989271424,1.80650615290855,1.722073216751832,1.6325783899928115,1.604954115826241,1.5747130094249968,1.9833693338901754,1.7811472688826937,1.6780433218057327,1.5871021110306127,1.754120224729219,1.7421097377582382,1.5625713697278627,1.6789372359763683,1.428601872276948,1.4890040486759586,1.4306172073445202,1.5671302307662462,1.8537608935863152,1.546266641120456,1.5952048914955281,1.4448202963514265,1.5779396905642311,1.4506564235228332,1.3794764260288281,1.3739460416065052,1.4223123762134435,1.3034362045363108,1.3887164817001154,1.3493645929335445,1.2544677141758591,1.1935400944188042,1.164615509549398,1.333587372242416,1.2070896319305058,1.326119265844229,1.2716433424419178,1.310448166268448,1.4398108229254367,1.3300996938813157,1.2018651589287814,1.1429849172954136,1.193815022968106,1.1498635071491885,0.9785209047614091,0.8557392083711466,0.7996893310092232,0.8329257388659097,0.8453478628705923,0.8807078381367928,0.8157436371911531,1.1202119270697615,0.8311217656569125,0.8510238399995896,0.8522362586925162,0.74508606040375,0.7832462905530428,0.7110761492942322,0.7320418160772694,0.6873701770272502,0.792661889108387,0.9330963946699968,1.0574642750776462,1.2218081793623734,1.3505575528498184,1.5816940348483992,1.279981840228,1.2487316914708375,1.1165301508200827,1.1162637002355702,0.9740728300961823,0.789461440048983,0.7726964605023913,0.7386316314067413,0.7209585296737132,0.770705782896833,0.8349445805704343,0.9182347746002333,0.9565722346698352,1.017921836425763,0.9388027946730483,0.9705303961595593,1.014685123509951,0.9515648659218316,0.9515106612019417,0.9976928166300647,1.1052884500497258,1.3551426110113358,1.563506705487578,1.4365796546276364,1.2852665615560417,1.3122924575739594,1.178004109922434,1.1003708863627788,0.978134490010879,0.8155472997263142,0.7425842706528135,0.7081890766159435,0.6710298099984061,0.757486472621224,1.2707123858787757,1.0284638982529397,0.7201293295635749,0.7311696970126134,0.7028370844656746,0.8390747074577547,0.8007232303438807,0.9341314135668775,1.0631218533927753,1.1812485398856298,1.2258092536278715,1.3691454512616008,1.5433926952238757,1.4008102773038016,1.8325889894566534,1.500569687804155,1.368328754836016,1.1648309234553405,1.0815393523722783,1.092041474919449,1.0584507313626754,0.9993769661938762,0.9239356076568597,0.9373984530337198,0.9148845387970889,1.0121972187943322,1.0098936087460302,1.279965795271811,0.9420748331243297,1.072948889402866,1.1868732478624877,1.1980708167158187,1.2734340063778322,1.4908441109558541,1.678889863754543,1.722780797052544,1.6525499774145929,1.9381638406981359,1.52827077384513,1.6069814002577691,1.4684030149140137,1.3238706684705883,1.437473347207473,1.263337269000667,1.149415542346039,1.012323704841711,1.0016763659281724,0.9692398830335589,0.8630355081794201,0.8060782869016359,0.9460183447416358,1.0431575708485872,0.9622036366806184,1.0245657151311007,1.2557332034664686,1.2566343138430298,1.2356674725802488,1.4696704277214163,1.6745932654741502,1.5256953179359314,1.5835769053610222,1.9795492168073925,1.8523456870978336,2.095903488212859,1.937833451162009,1.6890108472932421,1.8501783364008615,1.9627702169628376,2.108437245877223,2.0195444085072163,1.5695120657440724,1.4520746507780595,1.3177705193668539,1.216970569946855,1.3092160643543513,1.3771301258724953,1.2367682788160346,1.2103374766255333,1.4503192692958198,1.3807112106144555,1.2428505005346395,1.4193801556749113,1.7052735469701819,1.4357150471210154,1.4419821739267533,1.1084725345976496,1.1219730233412146,1.078788385603353,1.0465637639653875,1.0095038802092924,1.1053748338923404,0.9909770860365827,0.9574568800186811,1.0496535070781114,0.9632349776966336,0.9011556269531564,1.0132429441162774,1.1341598390364462,1.165315959866364,1.1920557975306165,1.360576354153391,1.4545551516731579,1.5893376869282736,1.6007550265356603,1.7021505583918077,1.5916407685678748,1.4694567513263046,1.2407772591394801,1.3500638180937683,1.5859293813467998,1.3758515944145757,1.2750754852225081,1.5052243854497585,1.516638677648448,1.2558528439813086,1.5065557993088547,1.8044772339661044,1.4555589947961158,1.4072219815567741,1.655798147275792,1.8541947684422377,1.63157380353346,1.4843808921800805,2.0309749692432355,1.8069213844024776,2.0507006868267887,1.6869453574496227,1.4411590324269012,1.3340795895947524,1.3694003601555402,1.143666336682399,1.175898711230396,0.9514624572051688,0.9738469425469741,0.8631724408181198,0.8721106492816012,0.7437766685919516,0.751924408327669,0.7883725347028504,0.8143800685968788,0.9186280742868873,0.892979434699875,0.9534171399113229,0.9280818702866083,0.7178630414950473,0.8868153528339673,1.2833080851201746,1.3864839940715437,1.4405606835982194,2.2388926246569376,3.795567437335338],[0.8321041063971512,0.9061402957835833,1.0030935430836965,0.8143872624810939,0.8085621401709602,0.724994077396828,0.7150028650081911,0.7015778127788316,0.7603833110620869,0.8453330519135361,0.8782199723304731,0.8664638878756921,0.934360590410877,1.0046761130122055,1.0939792711439205,1.0641106268419285,1.1479945315488207,1.2446435326677383,1.4225460771256557,1.415876582748848,1.5530932594669182,1.612198563300129,1.8688315894701246,1.945481355703539,2.0308864204887596,1.6435402406999293,1.400935563018053,1.2939765400226768,1.2068003139439827,1.0967940012487363,1.1722368112844797,1.0454805885712088,1.0886523177079568,1.1583749472484761,1.1335621909213167,1.2043951695632165,1.1368503492186812,1.3216803980562553,1.3030877556066092,1.4137405337499327,1.4510807903481275,1.472314138848737,1.4981688152807977,1.5905697440131499,2.1154166942768335,2.357148227984639,2.7663364452331276,1.8624624388753879,1.7708052817545994,2.0722394543561067,1.9096062365831343,2.069985452306953,1.7702357848198096,1.7813981397162746,1.7488111590507052,1.6402739765303693,1.5644537546317425,1.5806554141906979,1.5173877557330855,1.9081888237299163,1.7011481629673475,1.6045684100725055,1.5335185160006999,1.682753155895294,1.67274503282745,1.5085653738833846,1.6185060646880227,1.3816824473773992,1.43445577001367,1.3942896973247219,1.5260892146263967,1.787349980555375,1.4985066222801369,1.5252780774088737,1.4020703680892914,1.516934058756535,1.4022756202996927,1.3314934353385885,1.3400739888527138,1.3994881243456068,1.2650374870105245,1.3563112700196944,1.340329098527462,1.2114183643498937,1.1955796631217248,1.1450993355239443,1.2936974277173077,1.1817129101162478,1.2946035399492803,1.2537334801121138,1.2745875126685744,1.3737983011146688,1.3007087416835983,1.1853761213705902,1.134240891454773,1.1793997123422353,1.1438732410536803,1.0013605320655203,0.8920992479427698,0.8629758184831536,0.8794216459918622,0.9063806441097604,0.9138641925500025,0.8499842274426649,1.1202036283192058,0.826919288063151,0.8679469456936026,0.8483951427833327,0.74017545505611,0.8069089719732093,0.7310366981051424,0.7668151038062541,0.7557420730648452,0.8525498994863333,0.979850653618183,1.0952713052773757,1.2367237888868967,1.3380985215506136,1.546209711333189,1.2682010924523563,1.2429134778537345,1.1413490080532496,1.148064378648071,1.014955288890881,0.8291266100030626,0.8264404024844396,0.7745018402899874,0.7766611797933215,0.7790779425236821,0.8321184226566003,0.8948388403109192,0.9135418395595563,0.9763550388005299,0.9103788355748982,0.946644878275832,1.017436414258085,0.934745745627859,0.9777194585058072,1.020107464595974,1.1197858185605758,1.3291420939608702,1.49449992719954,1.4069244831214096,1.278755415435837,1.2944158240499044,1.1731145929386486,1.107834122525689,0.9949651423522229,0.8605379277782482,0.802316693302836,0.7701888413934064,0.7557154459404302,0.8451835802326035,1.3762752967105125,1.1293339968860427,0.7898456315637272,0.7929877064774049,0.7645511919499851,0.8807612534805717,0.8320352800970308,0.9653142126596487,1.0670728133389837,1.1799729118050784,1.2053192944832911,1.3087630842476434,1.5251712273182716,1.35571846302161,1.7934261784380015,1.4889998951191097,1.3832888086665984,1.151298297858193,1.080470416148025,1.0914947008564142,1.0491691978734867,0.999704996749314,0.9284860515643192,0.9595200759036653,0.9144124189829272,1.0064147939527779,0.98708676067713,1.2601937753148738,0.9347921534579199,1.0171279810473235,1.1009651776699063,1.1528417224214862,1.2143641706435901,1.45379679312575,1.5775794497524736,1.6725957273174825,1.5806854051886496,1.9051346470787045,1.4741526146966102,1.5401106512986602,1.3971430059695866,1.2338510192165917,1.338483633087725,1.1712070853561407,1.0666319642550364,0.9508133856805987,0.9492219143236648,0.8757362919791195,0.7993525953835887,0.7648816545412724,0.866344036136474,0.944398829864445,0.8937935262376678,0.9514070049578867,1.1463344886142148,1.1645447123124322,1.1661538092860892,1.367603404739311,1.560428883025544,1.445571640358973,1.5008887396158013,1.8652523594229737,1.7275350386600996,1.965910408414086,1.7608800876709303,1.5356985876334208,1.693027855948902,1.778131449727334,1.9562772203887817,1.8271308845350356,1.4164510220587805,1.2737776430181031,1.1544713564825315,1.0652394661505165,1.1453429513041722,1.2146967369129589,1.0772355140467615,1.0763585527873938,1.3088741012978973,1.2483803578403627,1.128245675297951,1.2799373238639111,1.5769309340675817,1.314978074730786,1.3855855895913871,1.0347402377443111,1.0279143100004293,0.9859574239502586,0.9277191570795985,0.9170099076724669,1.0196425844048798,0.9509678318371587,0.8954055481003195,0.9667364149899256,0.9254969057140977,0.8984147449961488,0.9395720391427327,1.0732026365517393,1.1358690825146318,1.1296635937059167,1.262824454377542,1.3850132128872652,1.5464383775038746,1.503339868324594,1.586732982740026,1.4651843414899195,1.3319716777251467,1.1055115374831306,1.2002619589361545,1.427078587674213,1.2377447531179524,1.1214812628863569,1.3248533846022812,1.3434144569604223,1.10814733350732,1.3292703969792103,1.6188484609825462,1.2940721310131087,1.2832502537728874,1.4998205527983848,1.722598669081523,1.5004031235720316,1.3557342848988434,1.8645282631382292,1.632019383592288,1.8703155746550917,1.5394963546375098,1.3161570953848283,1.2423128301875277,1.2641590586575098,1.0442975150922955,1.0708552580356605,0.9014194036875423,0.8937208435184416,0.815162095254522,0.8331869457875167,0.7486473237718503,0.7248182757376919,0.7763505443206333,0.7911521389615527,0.9970599996032343,0.9077948272070986,0.8988050254900506,0.8709634535733611,0.7355578959007527,0.8505070269884671,1.2067327705323387,1.3180820089894374,1.3606717765349972,2.1106026518694567,3.6422593353196313],[0.9859208944429967,1.013579524279185,1.0709581811843096,0.8575196424989865,0.7851655811155603,0.7031025032119146,0.653665344017262,0.6461773315229876,0.7156864135632418,0.7690537720854667,0.8135780481286633,0.7904690165907671,0.8347590627963439,0.9345399953241038,1.0213089961922857,0.9608380596265309,1.044758604491683,1.1652694740381475,1.3882415845149312,1.3469747591536747,1.5163486437001097,1.567622442579276,1.8482224633512707,1.925428146411862,2.005960509810454,1.6071612477521233,1.331087779967263,1.2045579381892082,1.1019468400387427,0.9688186739328263,1.0982634803721654,0.9168415757748529,0.9847009712206103,1.056658473215474,1.0134312430463286,1.100155658589934,0.9892341620766903,1.2064216617542893,1.1944151410414585,1.2924734384521577,1.357170889243364,1.400321369024893,1.4336142103916045,1.5331540297590212,2.084387397078588,2.349466818546022,2.773470626792081,1.8238909205944467,1.7265779599382445,2.051280076331349,1.8916590101190194,1.9978765191963506,1.7155983882018293,1.6475400959917141,1.6536428490037163,1.5886049583580963,1.51924060615772,1.5056803383165946,1.4524907261760258,1.8947282500014504,1.6826068470247104,1.572887557305485,1.4809803525863494,1.6569101073164783,1.6487066453229633,1.4548129809222117,1.5902638661138324,1.3312555675185693,1.4199072163753654,1.3536810649189772,1.5094783188836136,1.7840208305591532,1.4903798221242222,1.5288094539562505,1.357860527672094,1.5013841033760988,1.3328838735329616,1.2446546881097995,1.2326878347450145,1.3005092155763995,1.1331825274879372,1.2196299849195078,1.2179992407500115,1.0821916202020436,1.063756960252345,1.0186164879193937,1.1746972707349028,1.0461664650393685,1.1956540195492709,1.1481537454594422,1.1970690106239898,1.3570711315259019,1.2637991512435407,1.1072719414238261,1.052840196394718,1.1275073338130963,1.0854574718516496,0.9055996418348702,0.7895485824670652,0.7642120180728207,0.7546040409088225,0.7575656241898122,0.7627892188273825,0.7260497939909537,0.9788359767331547,0.7437612947827786,0.8276893230131082,0.7880052812431959,0.719582637926565,0.7719411801795611,0.6986127264955062,0.6608221761952768,0.6335775455118167,0.7283432546066616,0.8779074261116637,0.9980492060425404,1.1516731532142461,1.263331654294318,1.5022743707012285,1.216484570537985,1.2125572093168704,1.0900534374994264,1.0891260667938827,0.9400211697390962,0.7416167613487233,0.7156840888646796,0.7428253975215907,0.6807019205944599,0.7256258134053304,0.7624713838562752,0.8941073221954108,0.9270437610540234,0.9656221626645582,0.8532521825935276,0.8802895571561761,0.936509659264255,0.9104355024921585,0.8787679032164153,0.9254298889279038,1.0236420894430558,1.2658957648305644,1.4418437816728038,1.3276906752255542,1.1850974519621824,1.1940042208130193,1.0661260782784223,1.0013408113851199,0.8789559846616838,0.7239710583563032,0.6847954080990206,0.6849933053259019,0.6990286851412708,0.8199123022669108,1.3815330129617276,1.0726170031041915,0.7218574511677411,0.6932159713016363,0.6444307962759525,0.7348877609777094,0.6926835588581172,0.824058939441207,0.9415912741589186,1.0692516391404927,1.1014988864010002,1.2624662668720137,1.4773723737426687,1.3343906067900269,1.828247990624644,1.5304235007164697,1.3848940827030665,1.107239192642187,0.9780734120048306,0.982108188307099,0.93460218490349,0.8669066738491855,0.7880266692446128,0.8289233187783784,0.78964022530693,0.8755770234595426,0.8733655692237302,1.1898286307848094,0.8215667758976023,0.9569347813335667,1.0809544937668276,1.1049094094898166,1.1511630324892683,1.343673808491921,1.5492139354051218,1.6338546548137276,1.5595195579662708,1.876625154471838,1.4352925663713478,1.5489897207047203,1.415041061329334,1.2823512824506307,1.406061567716131,1.2409816741222053,1.1440093026916434,1.0520400627056394,1.0205215016871672,1.008622103905596,0.9156509248493309,0.8449478588990913,0.989931186361146,1.1021941884880457,1.0136404246301227,1.0431350795838565,1.281813235416512,1.3276561094711203,1.2803095432249645,1.4882614414254476,1.7288658563955612,1.6066811825608671,1.6172714456207131,2.023480430404055,1.862837119214159,2.148898955419976,1.9228310018657833,1.7149022876094284,1.9039518038164067,2.0417685560475345,2.1835602108552927,2.0618210652665185,1.6495295572934026,1.5160067695670694,1.3977428595124737,1.299714491270449,1.3991135240866917,1.4741514377294014,1.287155356399681,1.2967797591630144,1.5445186517322456,1.496492009794575,1.3252861226606565,1.3795499309869699,1.7383342284145873,1.4862154740356568,1.442836918918942,1.1746749440971276,1.112410861935421,1.1358206644193898,1.1134949217129884,1.0786696921292345,1.2124614990170066,1.0329310567858927,1.0132925996239524,1.1548843419065604,1.067688663771193,0.9847778337493768,1.0996229073663022,1.2410921899034466,1.2670027528108307,1.2619343975837378,1.4568438653011275,1.5705940155438272,1.6782040906385238,1.696822602753317,1.8171763199667703,1.6903116399905103,1.5788337850706637,1.3235908699962566,1.4465296110276513,1.6802808785382055,1.4456719634281439,1.3412004980213303,1.5647042299928455,1.5699549772142145,1.295678012097223,1.5525889099562318,1.8580063069703232,1.4731425378098602,1.4438410433606095,1.6922493883673146,1.8638185537731489,1.633752752772214,1.4762021861041672,1.9168319187844944,1.7224655071950512,1.9876600054368294,1.5927467155468986,1.414034860129975,1.3162365100854778,1.263218622097287,1.0890664707627062,1.1377585272507205,1.01563196867103,1.0193309775912793,0.8917143642651898,0.9043376720095581,0.732905458553473,0.7706696369824731,0.7905161310643144,0.8675825644678737,0.9593070690269573,0.9218449157456028,0.9784378143677157,0.9865852789158832,0.7528229303339156,0.9326448950553728,1.3290500631411215,1.5999138652424671,1.5974334824999579,2.5764904287660335,4.193507719642967],[1.009503228910363,1.0445283844455913,1.1209589599333296,0.8373703261499609,0.7642994642213482,0.6371768035626719,0.533173711467701,0.5297862044960298,0.5273384030074615,0.5769674401844217,0.599318091638298,0.597192983069293,0.6901718337985163,0.7386393787300134,0.8451545525868965,0.836008154564496,0.9430625795599107,1.0653713446205373,1.2940704282049362,1.2998732264538044,1.4527547419628504,1.536991099936466,1.828454739298216,1.9176227340176908,1.9865324940392766,1.562069790171757,1.3115147806940493,1.1686398064928907,1.0567040819576108,0.904938125205066,0.9660834890516568,0.8318680423608749,0.8486688915561852,0.9465405834638652,0.9470119938786866,1.0410509778407817,0.9843626672041721,1.2028342605566475,1.2271806163233512,1.3804509005154866,1.4072767425889288,1.407274475444474,1.4495138292892686,1.5777523138429614,2.1140964965583766,2.40056953667187,2.82554036975539,1.8923769153725065,1.7836982980656382,2.130204580029353,2.0242617611880176,2.0768307694100643,1.809560956154974,1.7112255816917898,1.720913420625801,1.6847483128875587,1.5882527735771177,1.5003182428977817,1.480819518296811,1.9063409622671819,1.6725902641572374,1.5190158870754416,1.4142942413496817,1.5896437629557114,1.598820651020285,1.4038809871044033,1.4972876454866884,1.2418430171615291,1.3026622311380351,1.2043657937311065,1.3536241246162617,1.633035564958002,1.3078907693549777,1.4004916582414413,1.2245681681217666,1.4036340909369158,1.2653482322490193,1.1795740931406549,1.2067177214656626,1.2833337077130023,1.1614883822052324,1.2842857910755192,1.2532422629874431,1.18878299600532,1.115287906698899,1.0676676722610783,1.2020696173605936,1.0456388670950327,1.154978749868109,1.094424319126591,1.0934538780267398,1.2461651553224142,1.1046642204820731,0.9592231186053979,0.8988728843451909,0.9284637109911767,0.8956317621131231,0.7236815678166838,0.6203846008116791,0.6129307108110997,0.6373447821114885,0.7221481362492134,0.7675591653141666,0.7388222644504834,1.1417861820184403,0.8401114907756886,0.9356598081297756,0.9415409458428764,0.8331736343304785,0.8215534769665189,0.7324477895417684,0.7061144132305848,0.5813848329955854,0.6677364629069172,0.7607474311770643,0.9021762813193372,1.0585904411012386,1.2141015499678884,1.429058794479454,1.0945691916327283,1.059010087999553,0.9147382125991755,0.9378443840164116,0.7835477264018832,0.608993192620876,0.6596083276550108,0.7174492966475466,0.6959013691754316,0.7950639166205595,0.8643569751000167,0.9935237236190194,1.0589127067001707,1.1184112347700117,0.9991390502063664,1.0078891821446156,0.9954737492741416,0.9839266311447481,0.9335283201988203,0.9381520119886049,1.0335554946495324,1.2761375926932017,1.5080463543377445,1.3338792055369808,1.1938306397185854,1.2290073207154306,1.0521551636121378,0.9769430173207895,0.8459341256943659,0.6995601013076247,0.599847763547415,0.6167549407262328,0.5459941574809897,0.7031746970277947,1.2311119983335317,0.9075534296778007,0.5765975474096943,0.5616431479332664,0.6006209216440194,0.6904852104253155,0.7506438248502035,0.8782928090074071,0.9673854475706264,1.1192122560210196,1.1716952383699346,1.3715913921319667,1.5899478897880186,1.4535236812204728,1.9390436967419284,1.6321512525136137,1.4678055810537363,1.2106215507318487,1.0692385845095012,1.0782261913893445,1.0302141747406377,0.9491900353091564,0.8796046105337886,0.8486072976086438,0.8471436307964607,0.9727017563202349,0.9897687932552773,1.2744126087159395,0.9478943670141284,1.1243798598495267,1.2323665244091875,1.2349374977071081,1.2947990432056369,1.4387480600292883,1.7250151560011449,1.7258651642947473,1.7373286097009497,2.0025638948184596,1.5615041652697321,1.696235787398687,1.562292486118818,1.4420371133282852,1.563870396890503,1.3559233708643756,1.2852293436914461,1.1866301090287275,1.117538775894558,1.142911744114089,1.0331997590455217,0.9503092970325486,1.1095987227104256,1.2154306216665651,1.1210376550546788,1.1437074524805853,1.399429020196034,1.4256546494631157,1.365462057741095,1.5886296108468556,1.8225048071754526,1.66834994470899,1.701629409587564,2.104861143746406,1.963121811063085,2.2211368640600937,2.056002559643839,1.8302034966587497,2.009791408885963,2.1450208316591803,2.28173516569635,2.169305094154191,1.755813618135493,1.634586799696547,1.51374199699364,1.4325928101432943,1.543988454085243,1.5761373068196924,1.421271019565492,1.4113535930061112,1.6406205620880114,1.5742404249371185,1.4224426176159513,1.5170185176159379,1.8416654025411696,1.571687217466524,1.5131786547642074,1.2880107810878032,1.2497003920703271,1.2749799625359224,1.250982107064054,1.2071381275257251,1.3407400806386116,1.137286072035612,1.1306121079375695,1.2669770673220961,1.1576000280115621,1.0600355098404937,1.1974378686931668,1.3199940059017856,1.3264019916552725,1.3546718745810828,1.555388085868877,1.6388521946127466,1.7284893211849013,1.7757296643417624,1.8954882208668904,1.7827728715296651,1.681733987424658,1.444995074931504,1.550894866905886,1.7825405356603354,1.55465527180827,1.4617650641058575,1.6864240284692067,1.6861109797065499,1.4196894906261057,1.679856433208733,1.941896248495861,1.596597772909085,1.5496992812272594,1.795537005121214,1.9655890732528238,1.7459951907967344,1.5965502060701913,2.0759763796919484,1.871446705154187,2.129106134501377,1.7348752942057257,1.5352874389597935,1.3933500773047898,1.3659168502861754,1.2096453282252406,1.2419326268820028,1.096971840897231,1.1124521868640471,0.9761415635027875,0.9954627598258112,0.8047623015183267,0.8361592481079038,0.8671300030079727,0.9373431702746399,0.9122898208430149,0.9304282450317393,1.0424364937473813,1.049628045359833,0.7430706594996104,0.9598864275035204,1.4263804905892112,1.639339788807507,1.7287697397636907,2.6720923963656706,4.34163856618498],[1.0086128874761597,1.0402553341907514,1.0961931999681052,0.8359579287806715,0.7332963060826143,0.6213432391696371,0.4980717035926306,0.5092949365616724,0.49291012864512385,0.4732636478839353,0.48447968190463025,0.5206487626054552,0.5623523105444981,0.5706806757882478,0.6555227498444353,0.6598383072100723,0.7420871241896515,0.8238375305526793,0.9997981299682289,1.0131435303252518,1.1577805809308361,1.2513771256898125,1.5190931088767408,1.598604648370348,1.725965291422245,1.2761580588632444,1.0367013952618147,0.9146890325680251,0.8202410467537483,0.714980624092586,0.7595183252150076,0.6758698880180152,0.6895857159745967,0.7338403011128221,0.7460418365631009,0.8145287012373512,0.7873633121323117,0.9660024354512917,0.9838186887306253,1.1099914361562886,1.1398573543688368,1.1218239981026712,1.153404628539577,1.2778387001048748,1.8464447669795696,2.2015438658646187,2.587156278048764,1.5975020005307872,1.5713708505952164,1.8826368976525538,1.7240181021340397,1.8255352339607553,1.5255935306256252,1.4278014533243542,1.4735134724898298,1.3810276818638418,1.3161568280156777,1.2337782982709604,1.202641867891192,1.687722701242092,1.4213013255961005,1.230610783940984,1.1266338569725969,1.2943853134138665,1.3070118594846543,1.1238036892213215,1.207443439939776,0.9635543909943757,1.0307433445782561,0.9500314464817524,1.096983979952774,1.3758510542487614,1.043581671232364,1.1296301828049755,0.9566383516989003,1.2111218798379815,0.9857667137435205,0.911816373886609,0.9425831911220565,1.03370178089037,0.9190718044808325,1.02976390390401,1.1193991686419653,0.9711866737189555,0.9031510890138719,0.8595512806078772,0.9549774249034355,0.8429382430349589,0.9007209271139858,0.8560372153592615,0.8427704245045239,1.03267906930199,0.8881000768665771,0.7439683388070779,0.7072905154101499,0.7493642034906834,0.7528108793912817,0.587810889851695,0.5171718784292266,0.5951503316943912,0.549545013038116,0.6770911768935101,0.6427212659627617,0.6491881285082309,1.002477426176561,0.7384906728363794,0.8269772585568728,0.807562221146529,0.7258923116921365,0.7448455664251945,0.6692410431529066,0.6046756811860031,0.5043191741520332,0.5604503093835159,0.6314328971510343,0.7362099247459923,0.8567955443040477,0.9604198268405564,1.1417669861705935,0.8488942456244427,0.8284035291968728,0.7352641727092769,0.7651075968200928,0.651681708040763,0.499302099220848,0.5482752496112927,0.6778031225353802,0.6141876857204954,0.7088702113477546,0.7478181344150961,0.8869031989212175,0.928443164849266,0.9508207293067448,0.8441387960627913,0.8550216612248362,0.8856974185906897,0.8848304880142706,0.8108723095664725,0.7882373361867627,0.8578343014682531,1.028560083533914,1.2050902957198877,1.0497315036791273,0.9539908355104166,0.9781547345068451,0.8378386518157944,0.7879596301812982,0.6980819530129329,0.5796949061219274,0.5215522721797703,0.5792217855623933,0.5289560539580591,0.6988089757101532,1.2271661479181497,0.8855471950012955,0.5516623031279596,0.5046884467382311,0.5359881189761776,0.5764954074118666,0.6246792291847104,0.7218464159353495,0.7842176292130412,0.9168472709906756,0.9621595881267003,1.179185388170617,1.3876837848722867,1.2765595850825058,1.7962724056649155,1.5280506747096991,1.3601767979222184,1.0652833371765962,0.8956548682015574,0.8969119420775156,0.8559793476064473,0.7728066388082113,0.7172976011036241,0.6996646804626179,0.7171071237026663,0.7814181405043106,0.8112450778409473,1.1397659210074227,0.7842928941754018,0.9236386973157052,1.032282685542943,1.0405734219678926,1.0629113137840298,1.1961375393783058,1.4322052205884106,1.5072240646485768,1.4565152433917903,1.761861833740848,1.3159910805389075,1.4628300379593344,1.3626602121768019,1.2558855784665643,1.3912262191373943,1.2340417400570816,1.1401895425572282,1.0247354633684758,1.0021053807150124,0.9613576251467798,0.8830514777314752,0.8262979029548518,0.9568896779239174,1.0566368001363848,0.9981441427366843,1.0398773598819158,1.2571304492598292,1.283622703905478,1.2725623209297032,1.4936483890806878,1.6943968094431527,1.5677363519687613,1.6303286486173723,2.0008713488463448,1.8650592197812015,2.090434845322596,1.8861115397024375,1.6534718354325353,1.8091507849056312,1.8860994270279203,2.0383379856982824,1.9032878723111533,1.4925686303456924,1.3704483521537008,1.2552741359531514,1.1908517957078715,1.2536569108183415,1.31065440278954,1.1763204914457723,1.1877103291077715,1.3913373262692383,1.3304835506661277,1.2183364640406427,1.316507891763837,1.6033390074303377,1.3628452010879875,1.3951442279034723,1.1093081308393435,1.0852414457389772,1.0816031151833478,1.042912832560115,1.03686537663996,1.1337454332476136,1.007927027989969,0.9805162707492104,1.091599736182522,1.0195538950581335,0.9495093122020699,1.0571059032699814,1.1829924767089635,1.216837845148032,1.2341426290264499,1.3938624891225668,1.4910737303342845,1.6228906856792407,1.6276977553944463,1.716263849915123,1.5957065093651712,1.465902687442921,1.2456604698584388,1.3262885946944531,1.5461846280460396,1.3630682478769758,1.2445411424995088,1.4338543682434577,1.46100578678835,1.2095740665979364,1.4076824119429816,1.6928571701640536,1.3784669256751616,1.3360907376113866,1.5474200629462453,1.7480261026438801,1.5368316919224698,1.4156409934043643,1.9026747569971711,1.7009335661895386,1.9844472456375555,1.6693749015253712,1.4303652479008735,1.3463746097184452,1.3632445868961263,1.1245415525785496,1.1218565114123282,0.958677523161569,0.9650624662959694,0.8779486513356639,0.8867401945043014,0.7259297784150996,0.7739750275949236,0.8048890160857356,0.8470331264037821,0.8965800995464497,0.9091062752271732,0.9928969419197472,0.9973058210368971,0.7031460267510373,0.9389554500035705,1.3584348261003596,1.512203547792773,1.5404136490943232,2.3839146399116022,3.9590063893874374],[0.9700423855123529,1.0370330416616957,1.1511599606369312,0.9395817676797397,0.9135192250159596,0.7901103700747252,0.704652115080219,0.7213601974634729,0.7030532051464295,0.6758607189416935,0.6791901267606361,0.7437458868634762,0.7181252420552754,0.7392281655961173,0.7903186559117042,0.7748440126160542,0.8076211132557957,0.8877767722008604,1.0876759727494052,1.0524324021467277,1.2153324729959483,1.3025959881551463,1.5120904388794922,1.5985484768264786,1.7253700985070162,1.313443450733104,1.0840764116528019,0.9633607648659904,0.8849007157907022,0.8035912968110346,0.8628609665346694,0.7665638954552343,0.7913714400844611,0.8374068623981535,0.8350305160322932,0.8843890881840153,0.8238555780794127,0.9939548114274531,1.0056706211717676,1.0870336943024201,1.1597191923086416,1.1461850371583746,1.1824019724746246,1.3205239974093392,1.8793137307496017,2.2516133115239017,2.617967693373415,1.6363372330536012,1.6223036907881285,1.924308667802072,1.7521815168488055,1.8941651112952367,1.5263036190289323,1.3691029097651275,1.418435929451488,1.3626463385506813,1.302405590164243,1.2479876554384344,1.210506356587828,1.7076998067505773,1.423201840483003,1.2654131939370867,1.1804982252264795,1.3240049151855213,1.3383035168499389,1.1677498053934552,1.2527461218608595,1.0278138063660756,1.1150238722717143,1.0469377789097607,1.1659418705239177,1.443567924384213,1.127061081351022,1.1841098725101138,1.0613604693402643,1.330545499844432,1.0431220426557284,0.9836895105950141,0.9940643149029619,1.1110786527305183,0.9360534247843069,1.026098964503711,1.1591438570771209,1.0215785523160414,0.9960101847343431,0.9141346590571755,0.987090240330025,0.8841122231141202,0.9605406925417327,0.9264870188707842,0.9240303599290118,1.1009310515480741,0.9959210993269769,0.8457724757389969,0.8122303066279046,0.8745346382329104,0.8725475567420626,0.7461091113399207,0.7102175311038312,0.8051315675609161,0.7403534681498273,0.8125530581153715,0.7951501487583144,0.7859057779267159,1.0195630350002274,0.843116134516473,0.9293879726614789,0.8673766778041984,0.8324465649211834,0.9083283615250771,0.8330222812814662,0.7670183433081909,0.695578331520132,0.7350482539734424,0.7990208358001164,0.8710029110358877,0.9586325835471342,1.0148748687003062,1.171065805539675,0.9762523254540397,0.9690616362994581,0.9119293514933158,0.9107536609258271,0.8114738390862625,0.7108166986647872,0.7289686163195787,0.9005793306920536,0.7799095049171513,0.8104314668781687,0.8143997059500189,0.9264229793058256,0.950874070530238,0.9829530456817235,0.8911556775387778,0.9061930416229563,0.9243983773856405,0.9403421597773459,0.9111199279159994,0.8626868406958782,0.930433227078983,1.0847978416409652,1.2306445880684134,1.08140922102962,0.9953162533430109,1.007421723393845,0.8989309437741898,0.8590157385872497,0.8018135567428956,0.7360774245257908,0.7194689483592135,0.7863398044553198,0.7828556761003106,0.9386371076880855,1.432739786537271,1.082232816003987,0.8059452946162329,0.7320925161391874,0.7258639844725266,0.7334178179898674,0.7616677353720385,0.8089959943828613,0.8418074240100213,0.9480509299149511,0.9856733280314468,1.156278553536679,1.3987733297757783,1.2825319809385094,1.7853383816275636,1.5449404121862542,1.3947032882166586,1.1010909468524734,0.9625049397793394,0.9633458757809612,0.9183130686686547,0.8581145117819794,0.8013312007983743,0.8320556262997983,0.8257494233561602,0.8557926178428411,0.868646079059856,1.1597361588290973,0.8460182500973565,0.9379028531125626,1.0600553464333138,1.08903947720415,1.1038292851870888,1.1816492998498018,1.3906668201734609,1.5422787837982779,1.5125570561534096,1.8061634721889273,1.313772659681105,1.4492315931740958,1.3400258948793147,1.239398155260839,1.37295013259747,1.2585874544317464,1.1698571572693282,1.087301479346521,1.073137037188097,1.0167898604126593,0.97519296342337,0.9238795501988841,1.0183517013495587,1.114978059346455,1.0726938919523832,1.0860593590438195,1.2760285441759318,1.344354599201838,1.318896011338402,1.496811088347631,1.720290170707345,1.6263607395769462,1.6350174157009925,2.0018793616006176,1.8360301307411677,2.1019990323535045,1.8184302169838618,1.6351051005813924,1.8153479870027238,1.8951736009872124,2.0839230659632406,1.9007386582073613,1.5538864831028558,1.40186587595178,1.3022320442991835,1.256842245962757,1.289354378776291,1.3262091210557043,1.211415024547196,1.2451773070780177,1.4242547862772752,1.3879584517681556,1.2752300946799329,1.313098790763577,1.639100871311806,1.3952045887964566,1.417720894006199,1.1499295193036183,1.1241128132830394,1.1401003702047403,1.1159879042158065,1.1073786109742925,1.2395006438732337,1.0932217560153235,1.0650903216803496,1.175911584676839,1.1219564532765574,1.0591403318553279,1.143282941704164,1.2866815472866808,1.327881512251586,1.3151432645845025,1.471370779629413,1.594200836678042,1.7194875816900403,1.6966405980421468,1.7896993929426142,1.6536952100003088,1.5373628785158309,1.304621625581726,1.3861175069274225,1.5964178564817786,1.4042328086971834,1.2846992044002217,1.4552646258693542,1.4701389624889885,1.229149350087587,1.4277389002225025,1.6782315284217024,1.369946451980767,1.3788633341485572,1.5533446025613349,1.732060507684053,1.5234513679828265,1.3936808451982359,1.799215687283024,1.5977571987647192,1.8771050700153737,1.5336733422437572,1.3845101999280753,1.3318871778401946,1.2518621270900807,1.1077779918517576,1.1191740912265562,1.046573252568868,1.0342897734828473,0.9480157125482814,0.9767694785521094,0.8425977778747745,0.8709758337995539,0.8640111536458511,0.9628505337809835,1.0008309007395466,0.9734033276641002,1.0625035016963782,1.0740898042792268,0.8450142683227357,1.014780579792246,1.408070245935325,1.6926287413676513,1.7108963475192032,2.7107418367599565,4.330177731900492],[1.14078066602528,1.123874321750893,1.162895747519537,0.8796202841283045,0.8257938922543921,0.7687152360238877,0.6395109058915865,0.6688918837109903,0.6468512999314664,0.5734666065800238,0.5778883493406713,0.6392337632283928,0.6111211115338313,0.6144137865931382,0.6657628860871748,0.6483268239465455,0.7475378196699157,0.8214403257519416,0.9953867087284068,0.9975398877977837,1.1558245853948697,1.2689447692147413,1.5257870473538264,1.6266603650174636,1.7199086825043652,1.2752648135491724,1.0467829067489676,0.9102186731875684,0.813395675280722,0.7159532759445636,0.7513559857132314,0.6675263157487051,0.6851699822833248,0.7015573753329255,0.7259835923201248,0.7871731316068928,0.7971913052448657,0.9809527536490917,1.0132898588024497,1.1651021539108954,1.1888074412853638,1.145383048485758,1.1900180541059384,1.3084078031102382,1.9073480527379587,2.263711173642005,2.6390622185857033,1.6340229488046742,1.59530503057223,1.9268414101338813,1.7627513019962857,1.8105427213476974,1.563675972204551,1.4792540122203295,1.537940701807035,1.4264825622963992,1.379920925228638,1.2739498755277128,1.243120888448414,1.7040277372556705,1.4482340030937872,1.2266338090502913,1.1243861852902832,1.3106035125380007,1.3203420005017452,1.128291428517627,1.2015521087993977,0.9530154892877343,1.0312058770080839,0.9542428338440937,1.1093911608408356,1.4082735518059697,1.063036487118107,1.1314018551767526,0.9432454360412053,1.2198824809395477,0.9524757838757215,0.8698121238527041,0.91665647663911,1.0078985517691836,0.9140353617281741,1.0532246212715022,1.1255555896604876,0.9851374007553654,0.9148450450529136,0.8830750340274018,0.9515451779196459,0.8452132463232365,0.8737527308158544,0.8362316424381833,0.8175921997192839,1.0232987702922745,0.8916496191728255,0.7185492495943979,0.6952877871134958,0.7640309051162343,0.7833719042078213,0.6549978773545074,0.6299626803689232,0.7520698475205111,0.6553513540230638,0.7610035775463823,0.6881837770446092,0.7582313286221701,1.064974468794318,0.8571796089137862,1.052173314435864,1.0085924860188769,0.9419403830455552,0.9569529939161517,0.8623430894048875,0.7421730908193618,0.635034356708774,0.6636880434033833,0.7035663560635466,0.7885375931892927,0.8771467539936941,0.9736896084604368,1.142707377692067,0.8711445866189693,0.8713405067768638,0.80625984598689,0.8285886761826364,0.7314434890659623,0.6209259182385514,0.6687287858174047,0.8025881046525772,0.7924532095451212,0.9231866505107261,0.9367991534718435,1.0991900767637721,1.1590613066713087,1.1373808738791007,1.022573274759757,1.0111167287998895,1.0139499325202908,1.0404310880547554,0.9186755039278349,0.8788547526383813,0.9270796858493183,1.070331594405335,1.263634728792453,1.0785477953185072,0.9841126305681873,1.0049128299405568,0.8584747891995672,0.8203988091390637,0.7100188443880747,0.6696477192815642,0.6652360375515021,0.7653445891891314,0.7248913827256865,0.9255770766376752,1.3852416173501605,1.0090149520431029,0.7368773690897218,0.6548417857794081,0.6934983501886994,0.6427030962860066,0.7331838705776944,0.797125668800023,0.8388759366856949,0.9725185135021962,1.019882849308876,1.2942514510500251,1.4916004702509205,1.4178385868659837,1.9551118731415575,1.73203239528627,1.5054199077557484,1.2126553920945642,0.9567034504312749,0.9714133686307819,0.9275589207535215,0.8330420259041185,0.7947653820006052,0.7441281920211325,0.8254974576087817,0.837617047505595,0.9166294833585481,1.291099272179253,0.8974654919479541,1.066667262401053,1.195960025497642,1.1594278805134979,1.1459063583330378,1.2636906754205264,1.5844515807932378,1.5656445945936932,1.5298945323933921,1.8502611733199332,1.4186924335376838,1.6033292662060281,1.500290453297129,1.455184857606955,1.6267060350787135,1.4463734472953298,1.382116465685724,1.3149566517863398,1.2922843815158438,1.2721684899094363,1.1807860381218265,1.1201111418722276,1.235844590475603,1.3319691780234544,1.262732227546913,1.249749301430416,1.468871685226083,1.5454715375584591,1.481028087130004,1.654366134159828,1.9070832691057025,1.8052354767743246,1.8074270851222327,2.1586896470134858,1.9910032529156145,2.304474529604871,2.0117090094649512,1.8337209767964568,2.0381625438447966,2.1213153243180387,2.3681885564358947,2.13087578041813,1.8548188447457914,1.69366778043075,1.5885273039722525,1.5154538300808527,1.5508528467991676,1.6000268899907852,1.4754793501289456,1.4678496301881834,1.6477618982149336,1.6038819486612934,1.5134325638200306,1.643223443556435,1.8860302770873796,1.6447697007636222,1.713630483708093,1.404504672815565,1.3848352444325571,1.377324000639574,1.3626379021228272,1.3263282873021247,1.487178198240886,1.2960323639741322,1.2842908487379256,1.3875808568471408,1.323965119110386,1.2395935948536405,1.3572471926055663,1.49393729278884,1.515913378877812,1.5155364881610869,1.6978974048135569,1.814374573892052,1.8827935149209325,1.9086504029043538,2.0239227245950766,1.881719576647145,1.7817745553448119,1.5530147249765112,1.650426000251922,1.8454598379075957,1.6316874598839612,1.5496410900997628,1.71156225923047,1.7051985354685386,1.4856264899857696,1.7116341289323633,1.895117951401888,1.616207643336168,1.6514646002340825,1.8537280800100657,1.9787995930856994,1.7721949160609578,1.6162479879779483,1.9996485185148756,1.8006520584055536,2.0223491753479346,1.6375127742882627,1.5336786167445378,1.4488428502394557,1.3573100120606383,1.2903397375078471,1.3080226785332572,1.3196257699694416,1.285143745552498,1.1313793349357346,1.1781803258174075,0.9517309057402844,1.0401574954815729,1.076701262139695,1.1397517981861474,1.1310578698754665,1.171288066253815,1.1542341794213722,1.170630459536228,0.9148572501384336,1.057834110994663,1.5209145623513494,1.864869862788236,2.0302618213910306,3.1877152730267118,4.9122797665142235],[1.0619755435500349,1.065870014844465,1.13366949316926,0.8684093340059235,0.8497458648120546,0.7755398125157348,0.7066161510347487,0.7184666810995548,0.6943344155414668,0.7012142451510305,0.6941341782855199,0.701769391538646,0.7713067428207232,0.7679631867668527,0.8134452757230768,0.8325756327258365,0.9485030955155497,1.0136888362969703,1.143709908336823,1.1698374910742648,1.2981434159100878,1.399894986399043,1.654034667384871,1.7366471801463614,1.8132819205230581,1.404386611259105,1.2095966660238007,1.1052291861717543,1.0112884271321816,0.905697324697756,0.9082862702508836,0.8578336455921356,0.8507880219805,0.8791394798764042,0.9176589255527084,0.9753013964054024,0.9886064897695609,1.1555504497418054,1.1877478644126258,1.3135273264362548,1.3320828079255416,1.2957805000482947,1.3273751496410733,1.4166775087943853,1.972272841856053,2.3295981478255565,2.66950962937471,1.7021393911169331,1.679071221445861,1.9499592608573693,1.8005634262769066,1.8161424060410132,1.626783689333012,1.571979478676225,1.6520979542485466,1.5264262654627028,1.513533800289152,1.4024424886536753,1.386019984099651,1.7863605777983287,1.5922728311907373,1.3623923606062491,1.2618980021847657,1.4351110545342107,1.4473716678378987,1.2699493061247196,1.3380430355479305,1.1297277868888005,1.1772547805645328,1.118870233466359,1.2647862822478693,1.517448926372706,1.2136856664650388,1.2917963825928085,1.0928962304328371,1.2987481560688379,1.1302386417755774,1.0524813918865037,1.1001114895777984,1.1519287951270238,1.0929595748853884,1.2042558855443655,1.2553074379893043,1.1089543619540283,1.0516460816007371,1.0601479553644326,1.1183925275644744,1.030827054077675,1.0507634976545743,1.0117482132123645,0.9943746481756378,1.1452311023585426,1.0101537629397668,0.8607281632536153,0.8416877484574161,0.8582908471798123,0.8761337376082831,0.7742612194722376,0.7276510522839605,0.7813466404269387,0.7860336593658748,0.8576644895182175,0.8282282334361091,0.8622462331928237,1.1917876261467102,0.9475131071218041,1.087975962629307,1.0517178222300325,0.9722320409966033,0.9802138348383042,0.9014730081780465,0.8462087339352734,0.7562947159950062,0.8245755047073549,0.8638314762284967,0.9741917408765433,1.0619517458308672,1.1577214047637434,1.2882679257346006,1.041672395092611,1.0349843391346294,0.9601239335733234,1.0066208517650588,0.90468700283541,0.7613885113519134,0.8337112996644651,0.8461287748005097,0.8915061273389641,0.9925251885629316,1.018730667092226,1.1413447684255582,1.1708197101669149,1.183856266460596,1.0959149988713075,1.1089191137662997,1.11455398568367,1.1299784816775338,1.053252776322823,1.068549842872683,1.1059026457302106,1.2415915055074955,1.4033228130282922,1.246792397280189,1.1653543236945012,1.175381033030419,1.0543750050252503,1.0215205550529507,0.8918519769436163,0.8310221607126457,0.7869390195929818,0.8157120269321604,0.7475205262273783,0.9000033310696093,1.297264751186869,0.9640848280395642,0.7653186274075406,0.7335637526120979,0.7819223881421523,0.7849059035129365,0.8583659453126831,0.9555555986911662,1.0168866714683793,1.1427260529158265,1.1860994044724198,1.4468496581104786,1.5989659248349548,1.5104932394111144,2.035474003781142,1.812575563604511,1.6135775859039039,1.3171700752226563,1.1047876932926504,1.115890876051679,1.0728922871104658,0.9926109160533859,0.9472354635895432,0.9045265119429041,0.9902158601643701,0.9930806924974397,1.0596146202015029,1.4218888039241933,1.0193626117912966,1.154644540495788,1.2606097622643013,1.242326624697713,1.2584135591552388,1.392161076124411,1.6788832786311478,1.6406514393789122,1.5751216647797723,1.8682304955958609,1.4676433724078852,1.6157153272150326,1.5153595543714806,1.466406926790206,1.6131575954086665,1.4578136975146485,1.350808880758776,1.260236693132893,1.2634821301579218,1.2197591299296864,1.146005742056696,1.0950516882117307,1.186697892348276,1.2811225919432094,1.2271053128729204,1.22184182449468,1.4438446597825945,1.5044765337323567,1.4535988355407372,1.648981421952818,1.885870519127646,1.756115802126807,1.7791136889467976,2.1479689664559927,2.0010931792756397,2.2858919018017514,2.03787219530756,1.8251267911822298,2.011340091497345,2.095364587941373,2.260576111254739,2.0777446038971354,1.731431463067474,1.6063655295218549,1.4960134990193075,1.4379504305116424,1.4537761686629573,1.494536108387676,1.3871414643804103,1.3665766009333793,1.5340403027582281,1.4848834568166929,1.392608804047515,1.5171343981455832,1.7584203784348693,1.5071011551606028,1.6044550801425803,1.301381363811236,1.3267344412802553,1.2985375729216218,1.2891595461044025,1.2524194159881827,1.4100639304121416,1.2456322136663223,1.2292362774084757,1.329966202010382,1.2719090325584195,1.2061174344207612,1.3091730387738705,1.4375577894311653,1.456229232954176,1.470975507646926,1.6416879329613059,1.738395469257765,1.8076869535544786,1.8527151044718544,1.962174455107806,1.8297221938815698,1.7239381931921518,1.4933796455034678,1.5769787506573676,1.7918708925095757,1.5893001589046625,1.4750670457271509,1.6471996566367786,1.6597843115081101,1.406975933097574,1.6123446095012652,1.839649801185201,1.5413490152804739,1.5314324049881627,1.7155542690664087,1.8704959692790504,1.6705470046127682,1.5517975189120246,1.9517193389110443,1.7792210502969863,2.0860507389324914,1.701006744580176,1.5415325922577472,1.4569938215976224,1.38180554244801,1.253960882655745,1.230049543219038,1.2085113733912236,1.1957969285205203,1.1189011214098048,1.166873212520383,0.9861145477807599,1.028483899093066,1.083737475826836,1.11627285191517,1.13274406797706,1.183689890636986,1.1465398835511498,1.148691624040956,0.8590904918488609,1.012179723995844,1.4973233277549411,1.753762504538861,1.9001119196405056,2.9433028807193073,4.630295171686227],[0.985819636530096,1.0140138285044564,1.101336859688479,0.8313429697296264,0.7922268045992724,0.6724476265970449,0.5273529820612748,0.5681825802338722,0.5022925094686517,0.4096116269276686,0.3957409568752278,0.4975628483138913,0.47033740555807085,0.4271209079905379,0.4801332625134522,0.5000866275915657,0.5519107829191248,0.6144481152131922,0.7879688372930235,0.7904155518019207,0.9287553961852698,1.052973445459561,1.2859178737891883,1.3736626222523016,1.530376138753358,1.0739846813684395,0.8419687745727804,0.7252888951222619,0.6294204041721211,0.5529862032181516,0.5647511333855064,0.5206676925486441,0.5254580056725265,0.5255345254893272,0.5657894341030968,0.6150606869841316,0.6115470699831392,0.7700336650233779,0.811443264238555,0.9238959901783591,0.9635571715300625,0.9248146341490006,0.9649714983276281,1.1311212663374224,1.7207942133500969,2.1747728221337512,2.4906808511362666,1.475211078763236,1.5122399453554525,1.8179247664166889,1.626538496872704,1.7434522924521727,1.3981761616035078,1.2150127204801235,1.3199794717203497,1.221752803757873,1.2031180019406535,1.05552696270309,1.0400834574193825,1.5617933060985265,1.242451578006274,0.9999294500856932,0.9035340095583098,1.0582815722736645,1.0804674926471967,0.9021513821319949,0.9808649992475048,0.7436226366099411,0.8495641779327534,0.7655105411844079,0.9303902038318937,1.2155582698203709,0.872806667812503,0.9496047766243211,0.7434858197416752,1.100705827210661,0.7654912074917885,0.6984341373728659,0.7298450917448186,0.8342899047873277,0.716614611433846,0.8284021839147597,1.0119026214666007,0.8345329184967244,0.8048042743768243,0.7205103491968826,0.7573417693917432,0.6719359404278993,0.6923927201020389,0.6607353872874017,0.6228831953549773,0.8605181792995541,0.6979950554289767,0.5276005188830419,0.5091318263661972,0.5806669423939004,0.6395681447533952,0.4901466335883366,0.4870769556427519,0.624843703806797,0.5485571772604111,0.699999154310365,0.6086371075833645,0.6601257383380196,0.9475814524464173,0.7628533477483087,0.923018803948408,0.850289047252965,0.7930118754080488,0.8338242032423746,0.7623643177433287,0.655904158844652,0.528191385289443,0.5466260860297532,0.548622549194604,0.6405222467798106,0.7078410902611267,0.7841630112513106,0.9306019301065163,0.6814498682218295,0.6807922730730682,0.6182759250547701,0.6523160614168555,0.5599441661185683,0.47564509827210216,0.5472715259479858,0.7612058820774863,0.669825335563096,0.7688063760363886,0.7738982897046466,0.9239540133750125,0.9601429446164488,0.9730186547157569,0.8656843446191996,0.8741034044106797,0.8849219101386557,0.928176780666488,0.8170072218922808,0.7420404043362864,0.7729942252798241,0.8931944828854088,1.043052006512304,0.865049828137159,0.8003183570174988,0.8171602982844235,0.6971014602474463,0.6710269118653216,0.5941176380539391,0.5626531410036306,0.5479371134973909,0.6690150643563839,0.6209824120062665,0.8227846117914913,1.3101028954967864,0.9045312736501895,0.6356394521584363,0.5394657722974999,0.5896140421349965,0.5422928610421802,0.6438916452180646,0.672051539813415,0.6847027261707318,0.8051230241056326,0.853418134103716,1.11622039748104,1.333702809448857,1.27706345106403,1.833937534241433,1.6410955655882054,1.4560946262693337,1.1105655474395184,0.8566718170903505,0.8720280581597091,0.8195784498050854,0.7297185699799777,0.6865237212579023,0.6644476171499618,0.7544869142042633,0.7403335334345628,0.7888841254316651,1.1345072418635174,0.7680580112366917,0.9014454390864016,1.0487871902710721,1.039439464993923,1.0408660410971793,1.0568444311765763,1.3410520845507858,1.4708234158372768,1.452287881607904,1.7065932998333622,1.238643125086784,1.4095635642992337,1.3254429177800449,1.263705355077326,1.4171833820374542,1.2615524531490987,1.1903356805996066,1.117998650717013,1.0863362153649836,1.0387310014462103,0.9847979926957682,0.9235233723048564,1.0293399908074592,1.1331669883905486,1.0736772587309693,1.0777008437561142,1.2891342843865132,1.3624167712017492,1.3242387646230482,1.5113057265793741,1.746970802907329,1.6438756845019782,1.6593992080786042,2.0273377702357975,1.8526885918248868,2.125187814325771,1.828133842677244,1.6488153002963835,1.8257834716787877,1.895616850482011,2.07391104146703,1.884029701864395,1.5540749895499966,1.4203139151628337,1.3285856789175787,1.278540437046387,1.3284327026777887,1.3592825527308932,1.2374291521463088,1.2795139480853068,1.457801297234453,1.4346708318168298,1.3151929623555088,1.3395679042563404,1.6550764950232388,1.4226491504064187,1.44911523252399,1.1883469466569874,1.1456466179263047,1.1774034105082731,1.1438603349517416,1.1383050482440178,1.2743811987158995,1.0920020928335878,1.0768469555395963,1.1958757876394448,1.132819560552484,1.0478437928966107,1.1605466292959248,1.3079331331817423,1.3403564642788246,1.3378285219022865,1.504482626443303,1.61782756880235,1.7212066116766747,1.721208904984029,1.816867852321604,1.6775810341574915,1.5648431794051478,1.3362988578690214,1.4159693535423008,1.6145290244501995,1.4254257398189518,1.3117521396371328,1.4739969940444282,1.4862940003898517,1.2506903436553176,1.4394888434096156,1.6677945781274246,1.3690781180212879,1.386428751667545,1.5271496914173703,1.6948590481367494,1.5002765519459793,1.3756217146325507,1.729681669921263,1.5623216186086892,1.8684433860820078,1.5224620625973828,1.3800520284512816,1.3247006439607951,1.2319271110953625,1.093189911597276,1.1192025376258752,1.0960297229166296,1.0525566624026663,0.9522153598739096,0.9876481934136303,0.802867578882916,0.8479688654161407,0.8624561155380336,0.9528590841540928,0.94755063152161,0.9636291686331396,1.0499906874994862,1.087371797568439,0.7790035518415125,0.9855599744399638,1.433632977119416,1.7611295079315563,1.8352037269181252,2.9212995050591877,4.573652691116492],[1.4378020814958032,1.4158892756506287,1.3455286353136444,1.2084398652483839,1.067458160348975,1.0857481753535938,0.9976797829045175,1.0374032127708281,1.0444889690335026,0.9766772895113388,1.0036410903705928,1.0535479008819135,0.9794769372109907,0.9874520178763411,1.0244215198457518,0.9764627633047775,0.9399483625960415,0.9710664799784027,1.087322789541325,1.0486707677219804,1.1511967022819782,1.2128808138848504,1.3968645376855238,1.4946458855081624,1.6657742636985418,1.2946493453688397,1.0663130715424076,0.9762879082074233,0.9341137554083893,0.9297161297623796,1.0106405319912068,0.9352100164470958,0.9807903041869359,0.9315334921872165,0.9196745880263553,0.9485203315844943,0.8906952225234488,0.9634430616866952,0.9806968808975373,1.0060557855050722,1.0553117544688062,1.0936153990113413,1.1016445239569306,1.249398958335732,1.7961933335003644,2.2441911168474813,2.5336120262777118,1.5375013970897562,1.5625781414480164,1.8388029700597082,1.6546447821947001,1.8067340262153537,1.4405387889100574,1.2873646935702694,1.357000156646914,1.294112982658755,1.3012735334631778,1.1399382015441253,1.1333146445147186,1.6758478586438128,1.336109106381471,1.1738201471427665,1.1388980680633056,1.2481433134505313,1.2525505742312935,1.119243445248222,1.2336870081723272,1.0406012705710728,1.1853412326211523,1.1065426784138808,1.2226049849749487,1.4668978751215376,1.191886288316497,1.2310785419393477,1.1026391680372518,1.4291091254271064,1.0677625134872946,1.0349195045827613,0.9906285218743787,1.0511012718440165,0.9318051176641641,0.9556988694835478,1.1437136451908145,0.9571386894605028,0.9478667221524414,0.8866222428899726,0.9600361903608073,0.9403444217623232,0.9808517077072062,0.978428368567699,1.000468735187869,1.2401698692386283,1.1310625085457828,1.0152556522468805,1.0131917459496405,1.1082392379651667,1.1727967169429323,1.036048830862603,1.044409994600654,1.1066139896137464,0.9789487889579339,1.0789070056733991,0.9361200690988482,0.9439673428802403,1.024093330125957,0.9554611386938504,1.0482599357832787,0.9789432604904978,0.9455238714806126,0.9772977440121239,0.998658813383521,0.9139039773293469,0.9134336001035177,0.8756499325605958,0.9120498212828615,0.9397929095651817,0.977205823704766,1.0454903758262817,1.1967910268878803,1.0307672493223314,1.0634101148964374,1.0073483453070797,0.9999234675580887,0.9276706658259225,0.9253965467804137,0.8569208455163486,1.0428562646207429,0.8578628520691428,0.8986776778878339,0.888792511855718,0.9663228067391173,1.0187201744800012,1.004055479715188,0.9248638059188197,0.9150043453148171,1.0081219400273107,0.9848775010949852,0.959893572599979,0.9270089115542733,0.9489074245462201,1.057705392449417,1.1622562121980764,1.0360526899506672,0.9909900830141013,0.9937399561693911,0.9418481222093961,0.9258359436913965,0.9169047528599036,0.8778745235433729,0.9531840603828308,1.0262466464331275,1.0754828609782454,1.192600770547377,1.6405827542089197,1.3398262904665244,1.0746226771427625,1.0065716100716897,0.9748297970528004,0.9374567288115466,0.9105900233125731,0.8588054081029387,0.9003063824271897,0.962283886623437,0.9716945153308163,1.1534466809451647,1.3996846343695784,1.3063044120726037,1.8672703182847945,1.7090489483652334,1.5057681961941678,1.1672647068643285,0.9335732294715595,0.9433576440520061,0.925119388792368,0.8917008159548074,0.8852771365250127,0.935498775125335,0.9751945194509416,0.9227503453803602,0.9177446070591491,1.1649025423239572,0.8800160519147094,0.9508158205789772,1.077025076352879,1.0822704241226793,1.0964829397587845,1.0942720484953594,1.3687915000775759,1.5432446491732588,1.4843286254768808,1.7001532143381817,1.2479191572810726,1.4313714833185516,1.3594240340128712,1.2963043891293322,1.448555112433149,1.253086214875756,1.2248571218711666,1.1824079997656098,1.1268349802278435,1.1141947729803812,1.0870446877875102,1.022184196298266,1.1198374131674897,1.2567596039240976,1.185916942441436,1.1533516462553548,1.3759633842255572,1.5063885623556919,1.4244820283790212,1.5873390121231803,1.8686830667854402,1.7731871456836368,1.7249949427264155,2.139145962752262,1.8988416130595027,2.261634147066365,1.8907425913049076,1.736170847264012,1.957084949307261,2.0294204245957186,2.2971715299847313,2.046766660424245,1.7729682422974464,1.5943825182124027,1.4969391224331776,1.4082189357811885,1.4962889147730924,1.5754713308356547,1.3751916473161467,1.4319327290759924,1.620486924906366,1.6067674475204288,1.461357098227902,1.4332658421257816,1.7774244482400647,1.5307513887548652,1.514983414151338,1.2978595768296433,1.180997790673958,1.2822393557723808,1.2635468761367974,1.2888517864004954,1.422836191741235,1.2059062088770087,1.1890959053169097,1.3604695004779515,1.3163954747724536,1.2114150477881198,1.3230083702490578,1.5074012121827995,1.5196477989863426,1.4985734037500202,1.6948034406346468,1.814003426958227,1.8905694127693475,1.893469825657471,2.0197583828101977,1.8593664096171374,1.7500639163983613,1.5117312419692648,1.5820476527780367,1.7730615231327058,1.557411158376468,1.4626431395869868,1.622592310398681,1.620623293722844,1.368119616114391,1.5690693060121201,1.76195168366633,1.467836497714171,1.4964806968373465,1.698628175090443,1.8620627905135039,1.6152879046783573,1.4503523184151934,1.800791142292786,1.6425085403741424,1.8859875478493657,1.4667616593996078,1.3918191073507864,1.3676647127451265,1.2441309254295678,1.1543704733333884,1.2028320227484586,1.224412877831882,1.1344315319611395,1.0201405659064466,1.0351184131258275,0.9248841151678482,1.0022834026332197,1.0082483502846298,1.1109275463214303,1.0570255416454013,1.102034292666657,1.2588253911751284,1.4203724512291334,1.2161305521547074,1.3840901453569476,1.692780160247459,2.2690874389764297,2.3434609816267455,3.6764296092672124,5.359991917463222],[1.360457982963822,1.315854465954945,1.3507190781046345,1.058505956530872,1.0066351385995436,0.9490548035374384,0.8040539085402219,0.8871779221749673,0.7329504575738518,0.6412110315220199,0.613186119854404,0.7201640848109495,0.7132987319496628,0.5987631413736619,0.6442107880239066,0.7282151615210121,0.7505800659895107,0.7818131082530088,0.8947385944572058,0.9783107761946891,1.0741982238488628,1.2427515078932712,1.4716599555738756,1.5615190902212897,1.6636531874073952,1.204822785986484,1.0542660315079742,0.9145573198267932,0.8382539190937907,0.7728394744500287,0.7261582247266372,0.7778352938079157,0.7542816217382552,0.7534757585429687,0.7997805259820672,0.8194265035867266,0.8893635691950097,1.0198139361909562,1.0917452043546865,1.2610923899971642,1.2361013796929978,1.158415174336597,1.2110028873965901,1.319527143367382,1.8602045914348029,2.2945492305873625,2.5999605470765066,1.6386868516622515,1.6652866639551975,1.9724609897228373,1.818897839741668,1.8392202427349562,1.628861304542741,1.489944382986989,1.6441756231466789,1.4895891267900114,1.4724492047235724,1.2981402851614596,1.314344861988733,1.7192887359297937,1.476978139410705,1.192947580250803,1.075386691861847,1.225904563755487,1.2385112383313495,1.0792260104011004,1.0975360353888373,0.8904280476819592,0.9166683360452303,0.8346208322932951,0.9596112825509876,1.2145747460795697,0.8976385698457355,1.0041585741528594,0.8299944450646233,1.1745162850322073,0.9171128342418318,0.8710814878101008,0.9379662725941581,1.0349187946160585,1.0170341015158053,1.119942471270731,1.2279088884848997,1.1140760285537112,1.0644082638850778,1.0201857558618366,1.0197065747640837,0.9624667411892792,0.9029211877063218,0.8745453692133915,0.8115181757296109,0.9629260286628792,0.7922168232681734,0.7155800092323193,0.7076195991443012,0.7191444618490872,0.7805089011197665,0.7074306744766304,0.7504345354012766,0.8969155809967816,0.8410639848953472,1.038560335327961,0.9367874916336665,1.0493152073175456,1.3277355976913259,1.1561125712976996,1.3177835663623607,1.3255577918693728,1.257772478368199,1.1964919935819207,1.1201562076996139,1.0091106839066044,0.8454665214823246,0.8195508294252007,0.762227824329271,0.8200593666000152,0.8516221383527289,0.9421302852998332,1.046258184695646,0.7901895794389021,0.7588703457657294,0.704729641425483,0.7576738930441778,0.7059868081656165,0.6836997241486849,0.8284612691495729,0.9855537139578119,0.9967977174357783,1.1622699444115432,1.197802393584627,1.3339767583366053,1.4265132446983355,1.4172283754041983,1.3179551248893313,1.2765805711131215,1.221943513393418,1.2605187766271297,1.093079076532373,1.0096185777825162,1.0451748755814874,1.1004650333890205,1.2929293226242153,1.0809195045573305,1.0448967784037912,1.079916854923704,0.9548839758410478,0.9344351053321228,0.8670236639765346,0.8861595732806131,0.823980172554128,0.9942812949250732,0.9341967015269913,1.1175769454947855,1.521622795893442,1.0939403738338453,0.9594172672170059,0.8472586540409403,0.9441373226608931,0.8606214454520968,0.9993246113235953,1.021806398653091,0.996843442307271,1.1096755217470764,1.181082416368026,1.4741681865244862,1.6290454207583325,1.6390310513594368,2.2074180630977374,2.0546490448833694,1.768665816512815,1.4781605943515734,1.1736419162774816,1.211416267721952,1.1685431760243616,1.0796751031606184,1.0624334429730355,0.9603125594632984,1.0995912819940878,1.1053643681374195,1.1808675400098463,1.4895743088137519,1.1797599269089125,1.3273337973636292,1.430144537754568,1.4045512954873949,1.3742347562855994,1.3622943946165962,1.6971686207775378,1.6620590989629869,1.675717750075193,1.943520312075906,1.5942270568133527,1.786544188250335,1.7127661775845195,1.696350392814289,1.8401940446649176,1.6436653278058375,1.5948205030502254,1.5389811654616457,1.4959594116483321,1.5390503700714055,1.464515601633215,1.3744661158230682,1.4915508728710882,1.6136955507544368,1.5285779166606794,1.4799162298366197,1.7387675350535914,1.8510607778356916,1.736310078800073,1.9194523911545516,2.2005725336236384,2.0710043827345728,2.0163723433496847,2.4368909274657358,2.2359363604167295,2.552959685142172,2.2546109897861175,2.096063697993047,2.3042394758474436,2.362248005156519,2.5856255577104297,2.3210107437853638,2.063168656373246,1.9404547309370483,1.8437023311812626,1.783701080003194,1.8289494931290173,1.8776852099783419,1.7278780620187226,1.722112833859625,1.8842417509083826,1.8354643010342262,1.7325490510717358,1.8023749637495148,2.0694555064739637,1.8053962678303495,1.8517699753102184,1.6363545140709876,1.5767014919665767,1.6376438651783733,1.6420890594821131,1.6204327909051879,1.7936765235065908,1.570987275149722,1.5577633738339167,1.7017738618316363,1.6396839538744603,1.527233693738918,1.665931154302415,1.8141707054409268,1.8055053184568912,1.8079536838658044,2.0135711221300787,2.1102707843625517,2.1135933077282765,2.2013318108317543,2.331529289182778,2.1927510201200877,2.089631797864284,1.8732209373555873,1.9304797132329687,2.127454823196889,1.9218628284285284,1.8226034739053785,1.9617851199402225,1.965563856640808,1.725297575081603,1.9083601624186037,2.036555317989981,1.8093611610031328,1.8244826219052126,1.9566549734010996,2.071579806409401,1.9046160758171125,1.7784152407665308,2.0744110914859446,1.9518071590976949,2.2134202336439373,1.810926910157379,1.7448695192567207,1.647087469142185,1.4999980400960846,1.441595424716956,1.4755620260890308,1.5176553639553256,1.4750920114492545,1.3483031859067112,1.3989053798414441,1.1602646223439868,1.2463884937798935,1.3198623736851074,1.4246413305775236,1.342926624496464,1.3158776697914176,1.4400826674166096,1.5142242124066805,1.1024382154188646,1.3399924403613745,1.8503764928363298,2.2617295873827445,2.473893949180001,3.723500923148681,5.491686318720782],[1.2028987897290055,1.2041863482958257,1.2980976119270926,1.0152675973178729,0.9284290112982883,0.8837000452261793,0.7426171588587822,0.8161823653230665,0.6942242753136343,0.6366742859349985,0.6218374594166252,0.6885069649465371,0.6749757179555598,0.6178770399682252,0.6487104659890005,0.7036195674302905,0.7422425535272665,0.772051803602733,0.8827154124525447,0.9308141873410646,1.006706883975727,1.1670870409361767,1.3509324023169484,1.4466549161065183,1.5258713003356055,1.1194875724036217,0.983042569210239,0.8682174475853698,0.7982338091478559,0.7227663004652758,0.7135917065262177,0.7339479208401627,0.7300823266453966,0.7223007857313015,0.7521375553936234,0.7871124353556175,0.819469522848486,0.9490057119360695,0.9954938394918558,1.0977874319018561,1.123179126513266,1.0719173809852638,1.1132224138595324,1.2432330789861943,1.8472963896018038,2.3334055921937646,2.603104786562098,1.5898067093436599,1.621456588362066,1.9317935500796406,1.7542475882782866,1.7770675126099882,1.5059772488009282,1.344882522691521,1.5045496073683309,1.3811010272688904,1.377378498189234,1.2039966962947706,1.23267068274036,1.6199056727126935,1.4152508520063172,1.1157252149307726,1.0003906132426896,1.141803958037335,1.1586622992356572,1.0005827426254819,1.0491726852206902,0.8573551699655194,0.9102251528116887,0.8345231094180493,0.9616252390478263,1.200224273619709,0.8982778047035659,1.025222314783435,0.8156443161424616,1.1573484207995746,0.8782192704336076,0.8380989021035403,0.8709341074763252,0.9606148531098511,0.923034092154158,0.9990045013132615,1.1286630212341673,0.9923365023426359,0.9255378623443267,0.9081194951390387,0.942744830656315,0.8789355114405596,0.8448004120357459,0.8250673722262001,0.7883342149774754,0.9200523377091595,0.7741348574116299,0.7070869904323189,0.7038118343552473,0.7335707725606418,0.7849787855172133,0.6744428107292216,0.6973940731314744,0.8268148999460943,0.7628957287222615,0.9405788222039014,0.8248017337317801,0.9048973871509207,1.1652167762594297,0.9827179292953871,1.1400828373783871,1.09845548136194,1.0321214740407996,1.0270541735077308,0.9833478102989676,0.8697038547178669,0.7523521190406142,0.730623225482252,0.7109955342474659,0.7839483925999756,0.8113977381639955,0.911967389582453,1.0027392036958787,0.7984808926234445,0.7735475026668078,0.716326232217308,0.7629855473568921,0.6701423621796259,0.6408498046069736,0.729146985844557,0.9134416059856794,0.8560213534085818,0.9703890059997395,0.9891029151587583,1.0882937644864776,1.1584329606041186,1.1357767119978468,1.0625232861020133,1.0310486642368664,1.0477060131974107,1.0635535098595394,0.9381918358554517,0.922911702460441,0.9607864566647675,1.023631206277159,1.1964781682330625,1.006279725421442,0.9691440403104354,0.9885958597572961,0.8784011140178819,0.859164528193061,0.7866108954688594,0.7748299169099229,0.750849047035799,0.8800777165296528,0.8478960879913889,1.030332683498641,1.4574814463396888,1.0244915102904013,0.8746695556941235,0.7680079312310037,0.8325347690892444,0.7638253777125514,0.8588429136060457,0.8683766072595378,0.8861177597669706,0.9893194895297966,1.0384419408478336,1.2890001394453028,1.5057239899988426,1.452441978532674,2.0622869483218302,1.919227511589648,1.6438616490095213,1.2922943875385768,0.9820699923278471,1.0081376097612926,0.97744087485472,0.9010887623535695,0.8892847778227544,0.8411682634682617,0.9598154167501702,0.9232254361354004,0.9882629636419166,1.2800304563654545,0.9632537647998326,1.091006462461969,1.203576223677972,1.1739675880758016,1.178776386601057,1.1816530281044633,1.554736105519511,1.6081759364601038,1.5441866929683254,1.7716352760129843,1.3912106075726691,1.5748784576894233,1.4910932560581875,1.4496051134145316,1.5871391850223842,1.3930015130257798,1.3381147596853145,1.2777456045024247,1.2514359979221592,1.2668177413549817,1.243990814553339,1.167199773615469,1.2736612793293158,1.4129918272625062,1.3759046989663608,1.3399522089667308,1.5927137881903293,1.7048944359061877,1.6550564026600039,1.8512193993036379,2.11017823071145,1.9959768997960912,1.9984027621049305,2.3871780004930847,2.2131533637124345,2.4826169998284477,2.152826535313542,1.9528823027810196,2.144627127759688,2.150654300751054,2.303482557562219,2.0651398720243193,1.7515682193720534,1.6436759230515217,1.5382492924646458,1.5091776200450067,1.499735536155542,1.5195870922513317,1.423645789610064,1.4189925640949026,1.5414410837793635,1.5085773678247165,1.424933699080649,1.4620379795021918,1.7063344051898632,1.4842969880107282,1.5491603787810482,1.3417694455427105,1.3100488718848362,1.3521200516377525,1.3726654339903568,1.3646782999540201,1.5484404470744308,1.336773916784051,1.3237489397342106,1.4976991560892383,1.448668429325212,1.3477351526227292,1.4843976806361505,1.6501261720932372,1.6722590160308648,1.6820979483060954,1.857070986417823,1.9703553620370295,2.0345135414842375,2.0808472675315195,2.173767578109806,2.028972839655418,1.8959518663971826,1.653418811711053,1.6966674947191185,1.9214700049319597,1.7336557005032873,1.5694555786364688,1.711739243548068,1.7436834070403722,1.4726095307744906,1.6115178236417729,1.8139718239972387,1.5616202068707012,1.5251730735045508,1.640999065252759,1.7971000183363806,1.627427933765633,1.5625685327095828,1.8321147231538786,1.733995026047859,2.144529788467096,1.8054357234492961,1.667524015613429,1.6109687816502065,1.4727277560706273,1.306209650656828,1.2654021827511968,1.2714810104344618,1.2363596882095016,1.1325910072494707,1.1632092240613419,0.9802592849297959,1.0911142760127852,1.1427078838379143,1.2698513834973395,1.198789955504284,1.2097620009944834,1.3591417199850924,1.411667523139287,0.9730011544602931,1.23835215349353,1.798174852072004,2.1111739251979142,2.2764295324267314,3.3726117165482163,5.066180832417897],[1.3756561483794874,1.4081548605741923,1.4129207891141997,1.2529837957230223,1.1691732458690047,1.1370177200024139,1.0490220695884567,1.091625203915737,1.0009158446119903,0.9063917459150072,0.8942138712664219,0.9754454024743655,0.9674474605026847,0.8560116730255581,0.8836932661554562,0.9439820278537956,0.9418356690931502,0.9221378213473237,0.951366678223334,0.9927775261290163,1.014391963441775,1.1392399450400719,1.2448450374956157,1.3306808664983092,1.506279646951101,1.1332466943090098,1.0338045632286714,0.9653105972253958,0.9510292395041087,0.9444702093507044,0.9088860906431284,0.9804786344006308,0.9614639675929914,0.9255098529032761,0.9521710746814069,0.9587799680667372,0.9940581093225584,1.0115167556162576,1.0679019138015657,1.1211188255535658,1.1183808586489745,1.093657963052036,1.1125940273787234,1.2721430413824808,1.8334375462567751,2.3819796959092163,2.572356116052388,1.5727782256007468,1.6831545527620506,1.90269321894987,1.6993643294116494,1.9095582358089267,1.5036213287977662,1.3690290872509285,1.5122623510449573,1.3589705043423752,1.3773367398775802,1.2001353770136889,1.2054466044704657,1.6054871807991882,1.3536605627021077,1.1014203644986156,1.0730131552970377,1.0873229602711787,1.119281345415821,1.0026148433731605,1.065313825541111,0.9228980319531421,0.9912894978991407,0.8974053384064035,0.9930461900130564,1.1890844583800726,0.9467161455816752,1.0512527315885614,0.9178882507100131,1.2789624169574032,0.9592470549448645,0.9428015476938095,0.9684862982533733,1.0307031744233592,1.0747841061296226,1.1002475780654266,1.2694323884834293,1.1346903136450468,1.0722623340782618,1.0600143786348992,1.051023788862648,1.0458771254721317,0.9674384396959362,0.9837831276405112,0.9269792537654122,1.108945268735119,0.966863909867866,0.9252809932563387,0.930164546908178,0.9425743185570433,0.9571698830053748,0.9502604205113961,1.0007495938035387,1.1349315433261937,1.0461274333227957,1.199042330573741,1.0948312146397623,1.1454807493736952,1.2569976725550849,1.190497944989531,1.2745784041813792,1.2612063399280304,1.218815806267678,1.2173825698183554,1.2137994808612567,1.1312613310209902,1.0417576662088508,0.9937637103518812,0.930451912908588,0.9327719857129735,0.9036449267892103,0.9765501216984855,1.03355999586952,0.9026386514264165,0.8815279927134818,0.8563261666855604,0.866628050085304,0.8492635614238249,0.9079926008986059,0.9812954596155358,1.138891081322911,1.0802865171141571,1.1262733185340725,1.1332756771236305,1.223506927967577,1.2742682851255627,1.25188288147442,1.1675595500258635,1.156313204639408,1.1869601320079533,1.2149537542676327,1.096702557493103,1.0648516150540643,1.0776446929042924,1.0523367987290722,1.1984673169232363,1.0416160616864907,1.0518362800436154,1.0695009619308111,1.0306544509580347,1.0279738255508473,1.0304659886310394,1.031810888932439,1.050147455495702,1.1523802308498066,1.1073766395652682,1.2514215028336697,1.6616511414562316,1.30539354001655,1.125950252564149,1.067520690131385,1.1157653777013734,1.0657167232671758,1.108290389565751,1.0827742501854023,1.0491991144454493,1.1029914480461656,1.1278455633624285,1.2732597640925691,1.5172387937686065,1.456032708432275,1.9726272378096006,1.937651406396662,1.677941512042676,1.369996886853371,1.079299772427263,1.0960632510862984,1.100854648556923,1.0681659779989825,1.1090951947035046,1.0977162745893247,1.199413365660065,1.0970042391061847,1.1491023606868,1.3365410480731208,1.1127896791260734,1.1831720875698606,1.2829931528687413,1.2589628682935896,1.2611997148265568,1.1874890644748526,1.5280924971283563,1.598677029942378,1.600857188522049,1.7559693834852954,1.421500945683928,1.6241209517918547,1.564666709664389,1.4993566727900518,1.5939000314723961,1.4478278585729825,1.4251957685142733,1.3726503278068671,1.3219377980192444,1.246901563935616,1.2475702018101786,1.2195209703735896,1.263793994204924,1.3351559182993933,1.3148657172319953,1.2898453375742343,1.4037995128153697,1.5265485241620298,1.498776424664596,1.613894029641968,1.8387713591166086,1.8107619570044695,1.7902443175048188,2.095853573845085,1.8516250219007904,2.105993443009793,1.6893820303499312,1.6194833402705735,1.78038741301247,1.7761141373096623,1.9873591402235857,1.8153030070147955,1.6033756397836612,1.4567491589941004,1.3890777867553463,1.410608847445392,1.4400854576631474,1.4490166002679852,1.3590303988094596,1.4384146408626808,1.571629142653205,1.5825827083099637,1.4634933961923717,1.4408031941451345,1.6468162580388452,1.488121091920395,1.519483698326735,1.3821332042425398,1.3263026827124393,1.3962743732136242,1.3558838244549605,1.4005360720836622,1.496164300192648,1.3535937161107896,1.348366724736913,1.4261560559026099,1.4055464765074086,1.3597992413115179,1.408207697090276,1.5501337549908056,1.5852168908039137,1.5502647629712132,1.678757539625376,1.8084843752136341,1.9116069239031024,1.8650070708325406,1.942831415241593,1.7763592274900775,1.6703060787349377,1.4944319726880548,1.5027026373755228,1.6435386309030737,1.510555934957939,1.4071210290995866,1.4882212302954185,1.4999759281768976,1.344889512978235,1.436529684078109,1.6016061837577122,1.3696857796683235,1.4334728200356428,1.4566247855684102,1.5889954726518034,1.439924938579958,1.3797498918237159,1.5376197808797822,1.4603207433374923,1.6248022330674885,1.4366742740155636,1.4082281993802963,1.4565123838260263,1.3815399783452904,1.3428694965779946,1.4037681668612043,1.4843028307682664,1.2913630812189607,1.2653243011181172,1.26814417464437,1.162653857062332,1.2234370661845173,1.239227141603698,1.2741707505058746,1.2257010729802433,1.316905955660442,1.3604850313760712,1.4871795775604657,1.2774918811404037,1.420775934830415,1.7303007388246343,2.213838346820924,2.3795653069668017,3.621282972799457,5.275783499167713],[0.8335237384147652,0.9003464604683656,1.0234367153138635,0.7917006853914443,0.7225905937099317,0.6396322336959306,0.5108391325034007,0.5467030511087918,0.5033812967357646,0.42094893129754374,0.416179632464039,0.5145756954855695,0.48245561716118995,0.4307673116689529,0.4828761297366301,0.525606284731088,0.5388672878731643,0.5796948338122991,0.7327128887951797,0.7260992376469624,0.8009960253049447,0.9481847344349325,1.1340981876948202,1.2226122546660605,1.384347645241775,0.9459303909560761,0.7647755943643965,0.6627183736289299,0.5948181414797534,0.5275776440111511,0.5533660274634594,0.5403343483330709,0.5509492769747392,0.5396128696264328,0.5588675055005052,0.5986584127472542,0.6007201541910391,0.7118213330933189,0.7554932504994679,0.8355522263440659,0.8718798991393549,0.8260107890459462,0.8571493937327564,1.0478044948247751,1.7069675773407036,2.238634335857547,2.486934601122199,1.4200390084188232,1.4811486926969548,1.741229936658441,1.5335758566691298,1.7201426881706519,1.3140938778316973,1.1499688534903751,1.2875851873450417,1.1489689992304153,1.1486453646910977,0.9539625108647346,0.9557709679809699,1.4655826475726015,1.1814847396585373,0.9010915454596952,0.8234203812556073,0.9310181780023468,0.9534177559401836,0.7750000825778465,0.8604051316600498,0.6674877353227311,0.7753894931742482,0.6807096113771096,0.81747026503124,1.0832968042114874,0.768490886048767,0.8649634573493143,0.6809533287170852,1.0612133960866437,0.692601990998442,0.6420816616839274,0.6710187731199874,0.7444057308305118,0.6916154476190945,0.7703375952142762,0.9683810027319322,0.7699053905857838,0.7081285040281273,0.6700862049655842,0.7158264972659572,0.6664972142071471,0.646209118449381,0.6344529410334327,0.6033672439983075,0.8465861528015755,0.6826034518905827,0.5470600471552679,0.5404150719040406,0.5842492734018654,0.6347727817836789,0.5052640473124784,0.5133583606225971,0.6394846560391507,0.539125068388133,0.6717383684914131,0.5823415895071233,0.626475132491398,0.8678236392771351,0.6854691762875846,0.8383922309462373,0.7630587226458744,0.6966182912660595,0.7460298241976397,0.6798075040786672,0.6008693880005586,0.498419763876231,0.5090461666400123,0.5064936357596785,0.5909005168340411,0.6227383047536235,0.7345829242012264,0.8548701553613737,0.625744403706842,0.6257186579155484,0.5491621888104036,0.5731626545097331,0.4762089623384667,0.4309885007118515,0.5216856133609714,0.6930627939611305,0.6072948516775281,0.6833263277752365,0.6849324147265462,0.8229386975903116,0.8698314208340316,0.8574331316938835,0.7515411214557526,0.7581433757746857,0.819728212245417,0.8406679526176689,0.7555534961324453,0.727641912086276,0.7475685599418945,0.830133331814614,0.9895832842255023,0.7986399496443224,0.7539910843178053,0.7629825520641368,0.6694753040530512,0.6479508653137045,0.5620359130751859,0.5114479235075157,0.5211990792747371,0.6305885776290266,0.591238488807518,0.7769555508661941,1.2712008481371113,0.9036778636761882,0.6195896293574465,0.5442139337156403,0.559992173330266,0.5337022137827446,0.5981673115373645,0.6164775942368512,0.6396732026917648,0.7572141012356981,0.7810661707850851,0.9953654237211794,1.282686369029557,1.1869471142347625,1.7554738551671412,1.6474427930460342,1.413169260174259,1.0417731314159446,0.7373685169209423,0.7411977388059957,0.7152747355700958,0.6423492553491358,0.6313518962301476,0.6223867064785894,0.7109067643686637,0.6556024128921095,0.7073487093966576,1.0381839337367516,0.6674335888099241,0.7797751040117926,0.9271462445519537,0.9074241926059977,0.9225275944405168,0.9279916466664292,1.2914702730504442,1.4118181071520453,1.3649117477385149,1.6071500150174942,1.153974464302523,1.3344711138669445,1.248946177170146,1.1547103694107308,1.2955983447584707,1.1356739934016533,1.0798196997119118,0.9918797845130302,0.9695832468896475,0.8383634428129594,0.7974412499701884,0.7751063739294124,0.8279413470735226,0.9029938968010802,0.886522295035558,0.8989715892179525,1.0530104048231628,1.1327522623118331,1.1537966470883922,1.3132483853690016,1.5031367589326983,1.4500004881451782,1.5048429495006965,1.8121138873079197,1.6346978938999344,1.827799595075806,1.507057275298167,1.3516037323945462,1.491065837305646,1.5048257667158278,1.7509679900242234,1.5679030261510316,1.2995320480393473,1.1065028087677125,1.025012658317607,0.9980869327143016,1.0476343907551104,1.0713630244218266,0.9564479348817269,1.0386590199223347,1.2110473174633238,1.1905619528636504,1.106517256412224,1.1792680805765492,1.4017648008041121,1.2131011297323977,1.3526014757917637,1.0281865417724732,0.9972980100092717,0.9969491550470708,0.9200462112830804,0.95846076509706,1.0517854600673242,0.9163399959248381,0.8908611606349093,0.9604451663716693,0.9196612194484908,0.8729850610748834,0.938556563379281,1.079389869522355,1.145932093167733,1.1389227948221508,1.249259400091875,1.3766399625829986,1.5302937883121508,1.467674602851225,1.5183008398584394,1.3780306645271285,1.2608189617244376,1.062774361529596,1.109311402729983,1.2838610692647856,1.1418120510429224,1.0202629469307687,1.148246033823922,1.1696333501329645,0.9762554080579562,1.122590971462219,1.3498354262572285,1.074132163132755,1.1431004676243581,1.2285267627508105,1.430720304926467,1.2511915386859547,1.1285655282861808,1.4897099957367355,1.2899265172563552,1.5436958952757467,1.316719706603733,1.1586386873920749,1.176420409410953,1.1167645291047283,0.9427920901603708,0.9703245939785717,1.036420759209866,0.8916076544565029,0.8321335765864092,0.8712255708198755,0.6960859979070007,0.7529522978477666,0.7527307889940829,0.8023610787217951,0.8390693143740279,0.898148005130951,0.91852198911201,0.9563064598197557,0.7501087788554696,0.9031010054191984,1.3051409682387436,1.5678280991932294,1.622266400866015,2.61721467959304,4.2208777747858885],[0.8065413352083272,0.869063977452682,0.9376386626373251,0.7349990880527792,0.6630263210172476,0.570126242178999,0.4443440646623937,0.47396641510753357,0.47444094959322053,0.3976970836640321,0.41020435746067957,0.4948354103042483,0.42944818269914004,0.44289288936712395,0.4944732924947245,0.472098113276413,0.532657449350711,0.5749702988689956,0.7312560216225673,0.6955062119601247,0.7944854271338813,0.9058108458380231,1.115148969529407,1.1836727401492546,1.392539693551775,0.9604790968068675,0.7267929760857241,0.64531422185368,0.5614556276930961,0.4924675944434184,0.5329866956901369,0.48414297055836997,0.5238291125358778,0.5129672590018518,0.5046989083076363,0.5538146539619633,0.5333835922056988,0.6638928757945268,0.69428991619811,0.778002275756799,0.8386247271655948,0.786150193663788,0.8102842288102364,0.9828361707340396,1.6601841999661924,2.1514287272469006,2.4096092509229425,1.3476370602973164,1.4299625963744067,1.6867121483716259,1.4071720960427,1.7117436727675825,1.2528098828367824,1.1884991573408443,1.3282854556749648,1.0491153104600945,1.0110558288955633,0.9325567295900747,0.8720721532419445,1.4082004658828244,1.1173932040589187,0.8656887779209067,0.7781176279144931,0.8754966125979765,0.9187520345373377,0.7443229183745103,0.8910679866435518,0.6664307032763466,0.8158551160340107,0.7179510874543045,0.876887730425679,1.1517779919973197,0.820696177472787,0.9297874934792271,0.6489113739356236,1.0381704527193083,0.6461252006041394,0.5966403655449689,0.6207386059614797,0.7005451517506724,0.6153743916986004,0.7321275035087232,0.9936972431270102,0.6801571320693887,0.682947593172687,0.5955677454128503,0.6558001459603992,0.5827871413210086,0.6043192128064729,0.5825307309130109,0.5890461827426958,0.824370519011088,0.6629479733221767,0.5372068894449601,0.5235349013354017,0.6161632518298602,0.6425254861021272,0.49163502905073925,0.4606772228210204,0.6166284988313039,0.469467560653673,0.5964202336973511,0.4762696989623182,0.5176143129741015,0.7363348488716794,0.5813855343227488,0.7670338311125102,0.6669349529134606,0.6027001856012488,0.658165888320574,0.579066223235191,0.4782799900852175,0.41196321411562586,0.44138468101383105,0.48805668907385075,0.5780111105803429,0.6458589530300771,0.7460727876129286,0.9087428204130599,0.6344283901319434,0.6323649979307183,0.581289573956856,0.6208842297065909,0.5084250834375604,0.4219781306555729,0.461747579405716,0.6140865273147993,0.5145967007324044,0.5868748059918588,0.5937356905352265,0.7390844905198531,0.7494085359865149,0.7476836391600656,0.651816854304187,0.6718121077032528,0.7955285635209227,0.7953788651353856,0.7031339258449752,0.6898260660816609,0.7064824099049577,0.8310189227326801,0.9808219848740118,0.7917852237749352,0.7184357819814338,0.720280883404091,0.6122922344890086,0.5813533969946425,0.5156582980941139,0.42581328304868826,0.4431329957246406,0.5547807092127763,0.5360499497426907,0.7304451739555755,1.3087804279745516,0.9442729996372149,0.5498964862444415,0.4513699571004342,0.4757280198292441,0.4504490081106475,0.48982672851636383,0.5209392250357355,0.5544515413795893,0.6910567359098514,0.6942214388122733,0.888339363111742,1.1748067545216947,1.1097358682319673,1.6488818718925742,1.5433040247211047,1.3516564077282904,0.9857447935133737,0.672883216584552,0.6647238681494235,0.6158015666616483,0.5278818561835558,0.5197000601751209,0.5268680786002955,0.6183720574129604,0.526810755388349,0.6065515689044068,0.925434274776119,0.5683778387423803,0.66461474760233,0.8035410603605337,0.8174570939931788,0.8135625415040807,0.8965046563681545,1.1688441318842018,1.4032048878827685,1.2507120741659161,1.5761762880365082,1.1504348845066508,1.2776459445338086,1.1850297601937119,1.0483326371364108,1.1775815155846463,1.0357617864730522,0.9555032052508039,0.8707418112551475,0.8766934827136049,0.722797287006682,0.6909392509090585,0.6662941344114016,0.7238228573417009,0.8009105509192087,0.789939704965653,0.798622427459311,0.947414626442322,1.0629045891473576,1.0770664070061469,1.2088816103347082,1.4238971254830304,1.4039817390262552,1.4204630875037838,1.7386597045222214,1.4863817363319944,1.796759828800028,1.3794018436279332,1.2546076852275312,1.4141518723167394,1.4417306914865395,1.7349862366634416,1.496789360399707,1.2696421308152386,1.0279124034971479,0.9407531923551232,0.9127012983217331,0.936282935398354,1.0053118128603777,0.8601207336493448,0.9288037185636477,1.1007061076364526,1.1058356890041996,1.0109661807220927,1.0967537250853252,1.3192676986509195,1.140440527520546,1.3085831293652788,0.9284065315445929,0.874649470088558,0.8546803610081986,0.8116258709990399,0.8475438281620399,0.9736563678181348,0.8302269905055684,0.7989943065615585,0.8633362193816371,0.8657640845101752,0.8164726679058459,0.8676677792390318,1.0517210894341653,1.139051274417613,1.09743736430624,1.2244609931881116,1.3857860476451684,1.5268915906301883,1.4381979001639325,1.507468305802104,1.3377637549017531,1.211997625621009,0.9867201097574136,1.03454673729868,1.224761348665338,1.054185750165722,0.9184539547849391,1.0703891013778097,1.091192690401463,0.8771014809384593,1.0265276870591993,1.3042101667957382,0.9914501648119598,1.0515835219214305,1.1630958817428405,1.384691646388898,1.1873909179027868,1.0564684966792008,1.3832979071580636,1.1932638066948087,1.438980227741805,1.1306490722280704,1.0141025411962088,1.0374335854274521,0.9341359370237832,0.8436595613539881,0.9306665888691978,0.9961081699342094,0.8229131291877663,0.7400715725462698,0.7672551742733893,0.6057220629564382,0.6386055170533538,0.6722770903688607,0.7132281046345641,0.945719617654342,0.8543576417176568,0.8099667956846907,0.857428629270691,0.7188698083404931,0.8120025134821282,1.1431916805695093,1.4456096055328878,1.4207107673104065,2.3899716624310945,3.8692100684509914],[0.822961153590647,0.855385439955524,0.9069880117099645,0.7352593012686872,0.6747908233341016,0.6157408288474865,0.5293939636484913,0.5484180166931694,0.5894635973490485,0.5533692848848616,0.5666440396202448,0.6243284686251589,0.5736844436478941,0.6060851157291745,0.6534925939273006,0.6141530955229008,0.6742895642997765,0.7439302004367155,0.8840227964358716,0.8539544249493646,0.9979228848219157,1.0809042375344033,1.3175828589808165,1.3929194200110984,1.5352574720785916,1.1195202123268704,0.8637307376504794,0.7802793319526498,0.7034490327372626,0.6151455423139446,0.703656638569218,0.623083020160558,0.6615154361279985,0.6712268552533495,0.6493179914062637,0.6973769891887729,0.6488534984474073,0.8029895721595528,0.8008326599344936,0.8873976109585228,0.9616295860036098,0.925213413839196,0.9437704829807018,1.1036120596478,1.7461263329559773,2.1744879735549283,2.503365904141017,1.4701076166408058,1.4922681920774494,1.7819756524407142,1.5337512317181696,1.7913819966330495,1.358186052674505,1.2925237568917043,1.372040278539527,1.1318826666389488,1.0855998747136355,1.0515320846255047,0.9787834613028026,1.5096235078884008,1.2222375775337135,1.0363117676721145,0.9669536258878533,1.1057387151465607,1.110219416262264,0.9411187093792741,1.0680776101064609,0.8378373453351141,0.9539156104387454,0.9003959161819012,1.0404725607493368,1.3020320999635309,1.0057983733239904,1.0692529137229996,0.8575036730911215,1.184636284076952,0.8278903286872519,0.7740072866698141,0.7798915949446528,0.8534646054606707,0.7069485523304591,0.8401054057781294,1.0028518137038462,0.7081187169980611,0.7258612291402327,0.6657619593799283,0.7636884042394846,0.6832403838631376,0.7566153764250001,0.7418572269080631,0.7568717750453506,0.9559545255733823,0.8390667105419871,0.7079646787096371,0.686812745764012,0.7645892920644991,0.7759676376868834,0.6374694900814141,0.5862572519927134,0.6949461759682353,0.5699683723471519,0.6738349153685371,0.5651889132152228,0.5753477517954763,0.8057978991824807,0.5754378848177174,0.7486468929471438,0.6740677416385955,0.615459315285055,0.6807417120657743,0.5721944781959947,0.516469942039511,0.5017833461411139,0.5465033087319782,0.6246516889033904,0.7012730990637611,0.7890875166506198,0.8656429630113346,1.0512655334050733,0.7809274165748686,0.7816580787090841,0.7422158224094297,0.7653414645486123,0.6663689100306597,0.5408135560024291,0.5418590812399315,0.6368579642652661,0.5845503509330129,0.6165963032570203,0.6358143562887401,0.7600051342593819,0.7963600256962917,0.7763084674005855,0.6836966122349034,0.690962579946131,0.8151226895814259,0.7989863778465105,0.7497335265751227,0.7397032029496443,0.7683731922176897,0.9071075514968855,1.0429251655583778,0.9050418688632558,0.8118528503727309,0.8125376553829915,0.704982121271846,0.6703348916704528,0.6077355581661807,0.5245155854766785,0.5502222076977203,0.6284868006155185,0.6274639719142238,0.8064950024418545,1.3753926509813783,1.0197346502064364,0.6423078362027678,0.5643264306083094,0.5514128027041093,0.5492130811970819,0.5395977506734672,0.5779939409209441,0.6378830736906502,0.7623352586890926,0.7657075020695053,0.9640896433204459,1.2141075425913204,1.1482318061474022,1.6869575528933174,1.5245913818329198,1.3400891414250875,0.9919205472788541,0.7135470649682658,0.7021406223899307,0.6578889619455641,0.5857194642658882,0.5606711703948491,0.5887739910121782,0.642421317643501,0.5771164447622525,0.6298732403835654,1.0235460234413407,0.597648107726526,0.6801808152879358,0.8190574109440554,0.8421867288693735,0.8396892206461534,0.9737619319108922,1.2096338646905123,1.4265178960181224,1.2718338746322568,1.612737506699276,1.1484729227364305,1.2881760230540942,1.1948107322405106,1.0727436584728842,1.2346532275165645,1.0852075677817947,1.0241285272180756,0.9320335770884212,0.9195491536623197,0.760402000981791,0.7019319659538511,0.6847306269406752,0.7516895023201405,0.8140397631293649,0.7882517266385624,0.8139816336379844,0.9619735515101828,1.0484730893447063,1.0558288118505992,1.1985127563354137,1.411081027843185,1.364434791822169,1.3702249837816607,1.719136784609277,1.4943118903888308,1.7853553601375303,1.4359342285907675,1.289125780485721,1.4470689718814598,1.4811848876453602,1.7895625564938296,1.5634061127170906,1.3574420663503297,1.0780663410972466,0.9822310230604987,0.9236126878927083,0.9981349701539217,1.0603613597170027,0.9056177784995487,1.0065316260629789,1.202304852631752,1.1939942281952276,1.0975817485199695,1.1561248901828565,1.3918991445259514,1.2093267198474456,1.356467266179054,0.9854529013190348,0.9334513028372637,0.9266029785845789,0.8463225782473739,0.8924374823458694,0.982255274725786,0.8203634511935849,0.8041519220622828,0.8690704447624834,0.8417897691411995,0.7985413466765126,0.8443683636816287,1.0178563895965342,1.1051911500434513,1.0665539614962691,1.1968337343336095,1.3529056991923987,1.5112865878130954,1.4137323161791195,1.489918739017605,1.3329562285819239,1.2103161863894043,0.9822743916722563,1.0565680383129687,1.2457184062362177,1.0709043279670658,0.9601153353702901,1.1207076825649298,1.1330291679671238,0.9337820982839842,1.1151237497286932,1.3719601099105219,1.0585519843380766,1.1285997972835065,1.2628722020844583,1.4943258817062979,1.2747738052079642,1.1305985977936017,1.5143956165785795,1.2870842859520342,1.4842924917673037,1.178984086942498,1.0516504601976517,1.0460532762687698,0.9770310499244994,0.8969990009114134,0.9691420273993775,1.0239350547125852,0.8730128871429285,0.7638520020205155,0.7961851821693031,0.6268418675833588,0.6586972301790843,0.6681260640752518,0.7102561466369949,0.9559958891760402,0.8728205226880489,0.7832174991854816,0.8286044875031602,0.781304599348922,0.7949645206961469,1.1207049455816276,1.4497683985552756,1.4657093189950383,2.481315022070698,4.029162501580633],[0.7884047653165948,0.8551206870176215,0.9582099758818553,0.771018943579846,0.7387820217029413,0.6852297271160536,0.6330303860286864,0.6364248156772813,0.7078403548817269,0.719382967998836,0.7341278946010382,0.7789521250601035,0.7622555858574385,0.7978709887775477,0.8611012806028077,0.8279950008882963,0.8925693308442387,0.9619362639516348,1.0914911251815336,1.085622402820019,1.2243216802416692,1.3022643800558296,1.529748880435603,1.6002767029543152,1.7060547649175735,1.3152647600993606,1.0757670725825246,0.9994769990559169,0.9299521498020191,0.8501981592407934,0.9349432547021954,0.8224224232942013,0.8689990818681281,0.9007830602931293,0.8930976817443824,0.9389952563808838,0.8887243249361797,1.0414984235937343,1.0196382098574313,1.1079754070279177,1.1666732481285935,1.1336377901632622,1.1601247512109059,1.2811668737609778,1.8823343865184425,2.235945784936842,2.6215606392384645,1.6179608120733733,1.5892698090697988,1.8881873841867916,1.6730475896638248,1.9209873954099221,1.5222434197737145,1.4886675787752837,1.508353861040806,1.3258794669979141,1.260752584397145,1.262332254440607,1.1919204548905886,1.6671545238868382,1.4001477422040627,1.2704374194034738,1.2031022143112224,1.3524972333152745,1.3421956135842037,1.1825841384321945,1.277366815350186,1.0636936472382925,1.137613321349209,1.1079045337681008,1.230108865231918,1.4974590548165247,1.2071886953235609,1.2446698764387605,1.0818105540813137,1.3409296846516523,1.0770486671596935,1.0252629388389662,1.0317214396337175,1.10157126799106,0.9549713289061541,1.0585131599828348,1.1529618556080525,0.9215780950497091,0.9174946958607941,0.8850689255163349,0.9894993453787981,0.900632194041284,1.005180918751171,0.9823522424099227,0.9856689403172965,1.1540071176230835,1.0644603910927048,0.9291056224760237,0.8898788641758086,0.9457498717104609,0.9564514735393451,0.8242510779125847,0.7514302714598307,0.7989830598803617,0.7188856052240333,0.7772008223377852,0.7294759589411737,0.7034416170803909,0.9803112855916861,0.6907770958088443,0.7493903600583811,0.7050431621783739,0.6402261038279545,0.7371331000691022,0.6404080489771112,0.6365289026667279,0.6343223545026611,0.7045652239261273,0.8237054964871053,0.8923627722603857,0.978841984270054,1.0535472250033098,1.246624019584861,0.9802565116561411,0.9775159424351505,0.9276478698805782,0.9390713433532663,0.8598565007073666,0.7081968648473173,0.6804539797985759,0.7047553247008803,0.6736198942273589,0.6998235719350078,0.7251787865846266,0.8186127515119926,0.8366834740306403,0.8330534670679929,0.7604641678146451,0.7828004635673519,0.8908938419764327,0.863848622713796,0.8546579519397375,0.8637127271600813,0.9161025253513806,1.0799137645086092,1.2158191309356736,1.0986056524531247,1.0023139154974277,1.0113770498574854,0.9088655145523958,0.8604292753599886,0.7967329532991837,0.6935100409003053,0.6753694350097162,0.6973290766028746,0.7116129103322077,0.830232909164298,1.3626567885460443,1.080669812144577,0.7415151252865586,0.6995423377942162,0.6460281193553334,0.7163534901567963,0.6860993488623928,0.7641661778298527,0.8232616355364111,0.9326893008378342,0.9502382409613324,1.0928005585377283,1.3142611312151997,1.2099981895664818,1.6864892158623912,1.444233882479081,1.3087098163711517,1.0242268156661738,0.8755553125447517,0.8723708788563301,0.823065104539365,0.7746431093831511,0.7383929402103,0.7685641725536873,0.7624677103036085,0.772500448355699,0.7840184458890225,1.108748301457306,0.7562597039987197,0.8096204135747151,0.9262830325733984,0.975283159265909,0.9818460170757584,1.1713099369001214,1.3240164011301485,1.5003209264232698,1.3905248300209447,1.7235353955645563,1.2790146116363503,1.3641745382844361,1.2491101396694968,1.0977936699337216,1.2305188208988183,1.103663176516386,1.0128455551833637,0.8960808980407448,0.9281246420793635,0.7621246624009252,0.720181166604956,0.7057720567600196,0.7535027410153561,0.8105031767139923,0.7968314134347905,0.8473213903474565,0.9882139249453972,1.0249725628541801,1.0567217435790859,1.221988080872589,1.3970396851667748,1.3296131875890218,1.3899686577834836,1.7213816473403691,1.5551256213817806,1.7774586003254302,1.5231792912320476,1.3227423246758538,1.4646438560277901,1.5170513213711765,1.7604577772552819,1.583924324840941,1.2774937092420238,1.0435831879226674,0.9461387162344969,0.8824530494156837,0.9601209543688918,1.0090948876350494,0.8732541533827214,0.9500023730486158,1.1478636721799746,1.1008057302138252,1.0133177605203936,1.1551622027186284,1.3850249036852484,1.177873102341892,1.3375941852195763,0.9372857180987249,0.9509634571637311,0.8981681109586688,0.8198526698657965,0.8595573402199569,0.9193437357043045,0.8654669489028167,0.8118174218719888,0.847875024480545,0.8290515599411121,0.8116346657379317,0.8242901018860048,0.9687094369776271,1.0554911888109542,1.0321728513228108,1.1354435264367446,1.2726908688502676,1.451369138018325,1.3598788762404295,1.41988996329695,1.2868311319664174,1.1572234541373156,0.9424218400577591,1.0220738579956947,1.2166596512147798,1.0552187536808755,0.9421063842797234,1.1097149070059702,1.1322995217827985,0.9290856587601454,1.106075135767533,1.3884462293180098,1.08575717377496,1.1178129709212723,1.2863324001906884,1.5293726050831755,1.318782366868398,1.1715898357810484,1.6538001982553727,1.4159155441114686,1.629110622348089,1.3419855648791457,1.1323643569500894,1.1035569990672676,1.115228502824226,0.8969757223622058,0.9497396031018421,0.8626753946030823,0.8097887776100116,0.7528857194302172,0.7997216222848501,0.6869376927973048,0.6885488472876725,0.7318200443217374,0.7419986794438223,1.0207433555639183,0.9079385330090072,0.8185329654774478,0.7974361726553675,0.7730542351976514,0.7962257141335924,1.1326843328617484,1.2710172225420944,1.3265830467800435,2.083972214034701,3.5292728938492894],[0.8616306320742297,0.8824474256632532,0.9428842669945061,0.8134234471992671,0.7936284130248656,0.7571316673740234,0.7757486637726017,0.7923288448286426,0.8824815828429701,0.9130610744324731,0.9364610945237568,0.945657074494882,0.96786446224939,0.9984326672304699,1.060751336612012,1.0250648235780742,1.0757890303027287,1.1548426809003445,1.2765248050808349,1.2553946258109103,1.395509200480592,1.4616109757229243,1.668723715215009,1.735356232767983,1.8198082590178495,1.46929679496835,1.2476246469330157,1.184700596236226,1.1197713038039971,1.0309464162803834,1.1229005211204903,1.0240214192791386,1.066498926633376,1.1137311458799617,1.0818767434318426,1.1334442652760421,1.0747592573230718,1.2131583852864234,1.179390379390094,1.2516418074320599,1.3319454891813256,1.301056546539078,1.3198629075360337,1.4179725130124592,1.9905184489426477,2.3195468450098526,2.694087333971577,1.7295742873005693,1.6895213613502589,1.9689291372975988,1.7375123547740825,2.05381144630612,1.6564390036878012,1.6348339696582075,1.6101414301976589,1.4327395678480679,1.3701067658116546,1.4077615839709752,1.3112757054367985,1.7736930315958586,1.4951829888960189,1.402775352897757,1.3757062922674739,1.4945190496400707,1.4702111454110958,1.3534095068032597,1.4560464651327523,1.2430085188639186,1.3143146956869551,1.2836392471653397,1.388049693403061,1.6331311467943812,1.3841277063548476,1.4389637534459532,1.2804644749850898,1.539902116715359,1.254805857754209,1.2006824118674813,1.210311203879915,1.2611292489604622,1.1431670620220327,1.2304531271094046,1.3111837171980987,1.051122656820819,1.067625274982739,1.0699325965367545,1.1686678414805098,1.091663108755059,1.1887608753119356,1.168600817518812,1.176178415116715,1.3505667538306598,1.2522296713078391,1.1376155434552946,1.0956967849502575,1.1444166850280368,1.1259530023590951,1.0220162126277306,0.9396676412679408,0.9524346595463342,0.8970595082013701,0.9273617447901139,0.8879641466473746,0.852933258258991,1.0711062255990105,0.8096144442344942,0.8652000201826116,0.810445616475021,0.7365722005518054,0.8569797278099813,0.742528923402172,0.7707743531463468,0.7875408375534888,0.864916016782433,0.9994212715593849,1.0493146868333292,1.1475093481497605,1.2276889934716422,1.430415269471571,1.1723447223119892,1.1583350342842846,1.1008676532541235,1.0957296581705271,1.0235797686367483,0.8917913819192208,0.8201208898566823,0.7964212296432995,0.8058798089345909,0.7945082226129069,0.8393861757958048,0.9042992303265385,0.9187341765483431,0.9144658051612705,0.8660245378529744,0.887345594882036,0.9948754480990365,0.961040630597201,0.972584813881968,1.0075046999465396,1.054754651147033,1.2282212391988194,1.362606695769822,1.2739310046486247,1.168264029379129,1.1760613850969202,1.0766532051256583,1.024420923071411,0.9614143195066701,0.8626757491865936,0.8495876370794114,0.8263958665874663,0.8574333913006321,0.9238381069396535,1.4451130138803803,1.2162147478556318,0.8885773365958567,0.8588472413979312,0.8072016494202994,0.8958490922366728,0.8443970794373511,0.927770092992645,0.9938839804796996,1.080566462351338,1.0914305871617322,1.1947697205217733,1.3938833239506807,1.2880904381939355,1.6912500236107135,1.4615856441796364,1.354600701206315,1.117377839550843,0.9972168414669015,1.0077119997602542,0.9644629266434616,0.9275728789413444,0.8970022701501866,0.9305085141278517,0.9215280778174707,0.9292037003480782,0.9287826988131743,1.222852867830107,0.8917183840787365,0.932667455477245,1.0296630941438625,1.0884290940249302,1.0900675065339782,1.2943986847091316,1.4142635276289952,1.589793091063303,1.4739714413014207,1.8178018654219736,1.4038908775528478,1.4258056823201393,1.3006224204250365,1.1436290908212274,1.2537858093282435,1.160895844077186,1.0722152474383253,0.9489575796022972,1.0161024792626363,0.812274889745343,0.7859352931713302,0.7887688316878986,0.7853061385888888,0.812015251133188,0.8368997822872424,0.8655443853755859,0.9474742334914025,0.9980862868340875,1.0349546184809022,1.1580536450995862,1.3194847508426886,1.2838559858831498,1.3237110217388475,1.6167219699153907,1.4378128493377815,1.6971725873150394,1.4037191754744123,1.2298167872885064,1.3675975128009719,1.4274173793784715,1.7218915522736074,1.5259491293113505,1.253268616742014,0.973036266322801,0.9027978559206421,0.8961484184712413,0.9336555842198254,0.9564172106860749,0.8570026237949527,0.9383886629430758,1.0997533219698938,1.063309182319199,1.0086907606887012,1.1592382690674792,1.3466182642448754,1.161724031700557,1.3827673061805859,0.9676016367783022,1.0114913045837928,0.9284375813915359,0.8460185149901766,0.8998908468271747,0.9871950145596363,0.9389431464126891,0.8751200908610186,0.8658905221426461,0.8812431701043397,0.8934094068794336,0.8541969211550745,0.9923430714014728,1.0971039876583717,1.0452020996314983,1.122467195508766,1.2734058258933583,1.4461703986483412,1.309487044090284,1.357948953929344,1.2219173199115685,1.1120052238930693,0.9182365934205914,0.9639981918202476,1.1477224443078875,0.9964422894543173,0.9021116691833595,1.0415786503486213,1.0640569870060566,0.8885149626213562,1.0410932750086677,1.3061041941436455,1.0230430716259715,1.0816801840087447,1.2257109484616056,1.4627617283406888,1.2644072755159856,1.1185131549317315,1.5745428208636987,1.3515835520617903,1.5252086367603488,1.235250023458652,1.0597412603865481,1.0534999145031219,1.0445973244984987,0.8884455608091111,0.9457357779003143,0.8993760706066682,0.866380335598159,0.8283662069761839,0.8787092583492854,0.7863091532321159,0.790539847830171,0.8603851595536791,0.8534696292721323,1.22633794664109,1.0442802151010155,0.8536464318917999,0.8538456460125446,0.9494233372904664,0.8490490990281144,1.0848478250157496,1.2009232439264717,1.3970181039887162,2.034626871174326,3.3764801408801706],[0.9186932416578149,0.9467448365998641,1.0008367738492885,0.830418087884781,0.8300313194124997,0.7729393942341088,0.7927984572441062,0.8087693713029018,0.9184992166863619,0.9595844701907045,1.014174174858651,1.0038208248726137,1.0394286255247256,1.0944867209278661,1.1884594304364213,1.1525896676480023,1.2140689066824395,1.3059463928604074,1.480967533710436,1.4441363215800858,1.5964531578179684,1.6330447424756296,1.874374511197247,1.9646899346450883,2.0498319103182476,1.674741661093502,1.4328894791030131,1.332721341477377,1.2685080203126835,1.1504801980049961,1.2554683559559272,1.1372411595203997,1.1990574294635126,1.2635868944355895,1.2284453909198763,1.289286504990468,1.2068999181875062,1.3619729386587875,1.3219457889234367,1.4171537392093714,1.4941302774302754,1.4834638767971522,1.5239666807090844,1.6617238523015883,2.152551850161102,2.4108147491839045,2.8125793121286695,1.9394855705515828,1.849858378631369,2.1403851850904556,1.9201378959639763,2.2332889184777307,1.8400314264288176,1.8301675333598881,1.7406623650001745,1.6610066783141435,1.5928709071696447,1.59043669797262,1.5383777425012197,1.959404214154421,1.7069940097042926,1.6086881114154425,1.5804819946854993,1.7296809952734986,1.702646600978485,1.5315898284857703,1.6403002258645794,1.440528822593613,1.495120617036953,1.4416197813559561,1.5251492807104277,1.772945216725281,1.545828232937499,1.6079302294495783,1.4848280149243673,1.6795558346072486,1.4679617347787668,1.4051614159448533,1.4114374736208668,1.4463620619670101,1.32858512220317,1.3836029028240178,1.4506737028728764,1.2484855158511048,1.256873742931374,1.2041534466377037,1.3461043136497488,1.2609096213794742,1.3586322058362947,1.322164707827622,1.3595309729792884,1.5084023761238248,1.4048093386293097,1.2993050907801977,1.2313167221990033,1.2949078284273314,1.2506134925283212,1.1334121361458982,1.0351960333106491,1.0205249986503817,1.0014373484521524,0.9841423583447235,0.9736957895225816,0.9146008639407746,1.1550338233890278,0.8892737417351915,0.8805162570205789,0.8476109706087027,0.7698737408050651,0.830386425790078,0.7442576670049994,0.7982897424245463,0.8095051057448152,0.8995016052483591,1.0400447253677285,1.108667695537676,1.2494571162701853,1.3523136681064607,1.594288469776387,1.3110314025173875,1.2816756501279165,1.185395897700826,1.1525534482267314,1.048565208001885,0.8906129738145401,0.8265286680850041,0.8280057954255025,0.8130644763289918,0.7919474746682206,0.858978429413076,0.9173726293722793,0.9449893938569317,0.9639025671605319,0.9138035432482319,0.9367396677041039,0.966563245395127,0.9344704328741473,0.9507278549514239,1.0071301627861782,1.0964021389305318,1.326258519608139,1.5162213051180504,1.4276229472115933,1.2891755793225692,1.3089775473515846,1.1978059810230974,1.124036356305612,1.0417274064106967,0.9155811411511516,0.8822332166940018,0.8421682787634279,0.8747167314800285,0.8998902122578294,1.4725289895879197,1.2920437708507713,0.9269923217637648,0.9029849543135138,0.8520261531695767,0.9619082564954203,0.876212898412139,0.9987702974358885,1.088679939119609,1.175337779447268,1.1981902317321291,1.2469536688216307,1.4425815283458032,1.296808018551331,1.6571328834503476,1.4021968338118598,1.2752123796307864,1.1108868560281744,1.0658305947284137,1.0845128269036248,1.0414860489276505,1.013725049880896,0.9717673404087893,1.0128935071629368,0.999999179593844,1.0260540649115768,1.0108227380793624,1.2151216918188223,0.957567475695541,1.0144858845940867,1.086543906887489,1.1405343098679417,1.2000050585296422,1.4488380625756667,1.541144801047239,1.7186729298568646,1.6269649868170413,1.943841149369218,1.4839828603775413,1.5115408282521876,1.375381765203827,1.2115075688185237,1.3330766398848093,1.1986328206537669,1.1043118527201563,0.9638635704729321,0.9972525668079656,0.8302638805721458,0.7667463417000132,0.7562002191449991,0.7827234150893806,0.8087172842347943,0.8122335156574545,0.8610130291354202,0.9668070166846999,0.9830404701885322,1.0278602188570733,1.1788524014062798,1.3277821549356934,1.2659668570085252,1.3352967526483457,1.6577768312148997,1.4967704747253205,1.7323324270656622,1.483674266587002,1.2808637379063201,1.4092920452483344,1.4623905951348857,1.7511756096366116,1.544263175172871,1.250210415310697,1.0167343654477947,0.946669202518154,0.9155596770894511,0.9946656899704991,1.0221904023443835,0.9120992133606014,0.977202820988183,1.1657839562174055,1.1045484077527696,1.0323770094640528,1.2279915752206874,1.4407430249826536,1.2205271982390948,1.36758656496195,0.9988822161931271,1.053690850981428,0.965607641506848,0.871095743531248,0.9038202475687362,0.9457951552866057,0.975996662376725,0.8851003157023498,0.8479811018864258,0.8565833061157577,0.8691376630206821,0.8218074683434454,0.949480216260835,1.0469204674904413,1.0099029377318636,1.0902621620949962,1.2375237729667712,1.433611694591971,1.2899186123542354,1.3365788532601688,1.218899742021222,1.0932942275472661,0.8941175421734319,0.9640649574011315,1.1605670665949142,1.0118797246218227,0.9140137376088325,1.0828785481323382,1.1019157969378348,0.9299115152527194,1.0999374295518296,1.3855954074605288,1.081979518386655,1.1264151950845607,1.2942049485131755,1.5329347889506326,1.3381814248362123,1.1798271985925526,1.7093845468565394,1.4421181137716843,1.6002484325792818,1.3311673585006403,1.1283928824961194,1.0963759190189748,1.1389705102820205,0.9394807301079603,0.9973466855432093,0.8909407479331353,0.8583269755045079,0.7926696755709107,0.8496166570940042,0.75885076608104,0.7438481475701774,0.791647670485404,0.7796793248165812,1.1528184579215865,0.9650817445695752,0.8378033045590537,0.8522304799151682,0.9436076487690966,0.8774636593111796,1.0809280459664778,1.162022441872696,1.4213079928677501,2.031458773800903,3.269650250229058],[0.9977744139615605,1.0429042748425117,1.0878986277672185,0.9570814866704664,0.9611889197682651,0.9102775654620655,0.9329918281969299,0.9574344975736039,1.0519909975289246,1.073969321783108,1.1120507096317653,1.1110596778103825,1.1371398198690958,1.164681332845256,1.233019112762512,1.2121433530728485,1.2363190449132462,1.3114824101483045,1.4341260085202803,1.3918540930311858,1.5180362883685365,1.5647623047518762,1.7476828536700868,1.8388509817794525,1.9068845821914278,1.5832081701810925,1.3789893596415714,1.310601541454317,1.2720078249994669,1.18893910873252,1.2886768120414893,1.2002602923896684,1.246037215990284,1.301590571430649,1.2569398427253269,1.3085976378390112,1.235580954303889,1.3329252178664108,1.292229274198731,1.3413772586781765,1.434633461246847,1.4144710135801715,1.4286345206403794,1.5165488538260192,2.0193033643712686,2.322387280328454,2.6935493368465893,1.795138052652467,1.7433906023764492,1.9903736523158808,1.7548297346695048,2.146915085668717,1.7256313265216545,1.7270599608910313,1.6789206830696586,1.527843681684374,1.4726978378148465,1.5262751253020508,1.4318483362493568,1.9026386150318408,1.5763920939126814,1.5166323825845358,1.5134865706619054,1.612883152142442,1.5894079247018973,1.4628839694805778,1.5797830833389765,1.389131811597119,1.4636065482367382,1.4253958670228124,1.5047042736818248,1.7306770274494998,1.5270928152788403,1.5824418307059898,1.4452172685341216,1.6535274477641453,1.4087380079079588,1.3663369252178605,1.3622694419752115,1.4007911723983077,1.3093012620678621,1.365513211554614,1.4667583497670302,1.1902226814468726,1.2317806251646084,1.2084803525661438,1.3099938755700564,1.264754180448806,1.34554324826743,1.33340977383963,1.364535747106588,1.5267691501967382,1.427781942491775,1.326946353061754,1.2787191585994997,1.3299617855370107,1.3040440517348033,1.2213039219756658,1.1512969320545172,1.166037488553829,1.0934718798496514,1.0893169945023895,1.0621609273863837,1.0012802361808213,1.176998271070565,0.9438682011496674,0.9603872932100104,0.9036664673725189,0.8327256440141336,0.938382716661431,0.8643117700303952,0.8826135833060751,0.9228143579703758,0.9719309998299263,1.1192818830826212,1.1374285961127064,1.256506370371192,1.3319824658155732,1.5693064694882908,1.3201883288112144,1.3032925158572644,1.2392896948543866,1.1975174191498064,1.128401385769914,1.0123799559484672,0.9108293315099201,0.9537229522597733,0.8877975488015413,0.8687899492247674,0.9099606207474641,0.9278799172868586,0.9369036724314499,0.932245334503586,0.9042351221999301,0.9304993067614572,1.0074864789912987,0.9594231318840286,0.9896044954315573,1.0291519556354487,1.0962482562246953,1.2561249013113913,1.3902658480438643,1.3718494829760057,1.2628332468291767,1.2754701097689773,1.1954246840822962,1.137277845790784,1.0771441171613385,0.9860815265764354,1.0136256093121003,0.9682362277385825,1.0157293981733833,1.0378616743923947,1.6251964526243763,1.4364154271238292,1.071281453835923,1.0359235015351547,0.9802333740932584,1.0594121066695517,0.9647007764908407,1.0236721054568716,1.1075230244263536,1.1623104858956324,1.189737884603706,1.2124719795962204,1.3621341026964666,1.2424827873098752,1.546476893821142,1.3276078883845028,1.2489405186018319,1.0931782202019862,1.0448343540818372,1.082616693643356,1.0515924673328039,1.0440052058065712,1.0179414331068688,1.0734891465178735,1.0698030552326814,1.0671482829668935,1.0356152948297412,1.2473819313832737,0.9796724723109453,0.9839583896437858,1.0343940575188038,1.10158697455449,1.1303256911435746,1.3433146380467063,1.408676699766574,1.584472955056888,1.4766881550458335,1.8075321073555448,1.4193151868336389,1.3998027307851555,1.2755890630326507,1.1159596131048126,1.2177294964404919,1.1358180131154534,1.056724355594972,0.9726500927200339,1.0740428001457132,0.890001359758108,0.876598881004533,0.8738382871555318,0.8743807826791882,0.9031209674052834,0.9512750777138153,0.9752398302414157,1.0262583779777525,1.0666003053369884,1.1193493924145317,1.2191231038067254,1.338873005538006,1.3247566335858885,1.373046026360775,1.6307022571465726,1.4776724375868604,1.676630762086631,1.4228161029955453,1.253884826752641,1.374340215910845,1.407055979977054,1.7060764734297875,1.5088610728366372,1.2899544704317585,0.9951449677628738,0.943314160185036,0.9760101316386067,0.9958963100454572,0.9919626534363504,0.9263663648309604,0.9641212321523113,1.089614068203352,1.0497030906491607,1.001031439882399,1.192272850814629,1.2798230905165902,1.1567320035545638,1.3862412045290051,0.9935863086375687,1.056517171520306,0.9719637046506603,0.9257668933293594,0.9857698534974784,1.0789015032786222,1.0852826201809542,1.0021143393997476,0.9707467152694225,1.004695674243271,1.0269333995934808,0.9584385961592531,1.0931795399871198,1.1995048657696463,1.1324334563752407,1.1842095265616848,1.3250677313077972,1.4974567904044227,1.3382159470507304,1.3657240541799274,1.2474302399261012,1.1404854224476675,0.980534750216218,0.994923283713809,1.1604500891593958,1.04257975578313,0.9473813195191215,1.056806136575803,1.086974118860444,0.9331452118174107,1.0538669509653238,1.3062052474511,1.0623358493025612,1.1114213124892607,1.2125261066693274,1.4666078920503427,1.2852413296285892,1.1687303528562176,1.6186228251160932,1.4216471381379079,1.5638841341180993,1.3226058089652748,1.1426956292466435,1.1495545171067634,1.1890954632360633,1.0039379585159731,1.0281460661035149,0.948655585355007,0.9434728176452737,0.891260020715601,0.9161361600456385,0.8855075899023969,0.9071227086850876,0.9805934680589928,0.9725312853367009,1.363828504251615,1.1453646795045387,0.9805156276282118,0.9984622870306393,1.1311005231563382,1.006198403747442,1.1590752050050517,1.1887230921607337,1.5859904155176743,2.077234422576667,3.1336133640100083],[0.8010520407482561,0.8706686493746134,0.9483368087127011,0.7760608072648989,0.7759909735102971,0.6967746408581668,0.7071872211387128,0.7153106270975723,0.805190666968321,0.8279495247739709,0.8464594269721072,0.8614017637050092,0.8965525308345867,0.9155822128855536,0.9833515862290378,0.9598290755810382,1.0150476700263333,1.0941408723272663,1.2179829572885423,1.2076008316423599,1.3448086750589852,1.4238797256153852,1.6289880787923716,1.6900401360096822,1.7807871659400132,1.4206724927531484,1.2163422637820875,1.1399990711375887,1.068205278021599,0.9754016290940825,1.047026114908748,0.9644875537620141,0.9952302781609754,1.0444150672475014,1.0258659515883106,1.0823334102620508,1.0278343802155865,1.1651582640227003,1.1437515868002577,1.2174419334127533,1.3162704780825878,1.2743516854795798,1.2894288621120147,1.395168015080893,1.9598121449727985,2.2974860606527048,2.6493173720674226,1.6976775069843513,1.6708819657545697,1.9230747990513604,1.684741385165853,2.0311414685501155,1.6231369290903443,1.6237217391589274,1.6037719033571658,1.399837292927092,1.3364387840996008,1.372733752056352,1.2792295053985623,1.7480485574773474,1.467383539206008,1.3602802382818715,1.3212419306777257,1.438555771593523,1.4279940240673936,1.301076149769372,1.4033124461278583,1.179041617383085,1.2512213805566013,1.2032557383237843,1.317409363682643,1.5678558808964886,1.2948285151093253,1.3638408133659565,1.2064947392607421,1.4558158454402945,1.2019711180227683,1.1451230548304885,1.1563085189037585,1.2136609319647431,1.1048131843766251,1.2084227262308753,1.2973688860313057,1.0376217695633394,1.0564433688314026,1.032396643519118,1.1309424650478148,1.059110125355802,1.1376220424987944,1.1058287691352575,1.1128966216925225,1.2800841381585744,1.164117963418356,1.057500222392606,1.0167359428188665,1.0660385599795508,1.0456185822136317,0.9420203465446663,0.862591124517134,0.8860935318537009,0.8379156902913757,0.8787248160346853,0.844721989447967,0.8188046689655107,1.0699946460698233,0.7943388544038181,0.8320896303329154,0.7930554782038836,0.7145509456877139,0.8027232847006098,0.6925801995803639,0.7213506817668336,0.7257167121063575,0.810390138010166,0.9347276560988105,0.9902991799938753,1.10222036305319,1.1869441431666294,1.3781398332084303,1.1105791407606789,1.0916996346858483,1.0315018497645763,1.033975498603608,0.9573218532475064,0.8137011096634998,0.7627344294190322,0.7702825177118123,0.7571541407287,0.7560026490798875,0.8066746756936578,0.8750914923080633,0.8999852219877909,0.8894537349198162,0.8363024033991799,0.8638026286796946,0.9469889744430373,0.9110483677865842,0.9294640433871627,0.959264975609397,1.00972620330833,1.185957675632262,1.31457631928449,1.242688327910726,1.1364504690489143,1.140944318781696,1.0354275409136313,0.9839847867979229,0.9168983203560882,0.810274353713702,0.7930154199861489,0.764212474775921,0.7897327516104106,0.843686648428483,1.3779356239688239,1.1614452338152532,0.8216132781766003,0.7900265146670583,0.7507610023923202,0.8420019765818533,0.7955065587966093,0.885289335130093,0.9518977377818705,1.0502573497414358,1.0592441934075854,1.150763302565628,1.3456075842730488,1.2321821308823053,1.6045612863317298,1.3897842783623622,1.29488496679699,1.0788653011295195,0.9743192446197128,0.990374037742249,0.9377072751127308,0.8979002217647345,0.8610576023418156,0.8778669371223747,0.8788794628781734,0.8981373639835551,0.8942551082332437,1.1895794434671776,0.8702120479030517,0.9075137919745027,0.9805145962587178,1.0395889064279535,1.0485754443556576,1.2522840088022749,1.3821113781371495,1.5558262389997308,1.4281520133062127,1.7857532838034664,1.3698058091425518,1.377425918328061,1.2507000609782448,1.1003450185873411,1.215139320257063,1.126791247256973,1.038925597147202,0.9220908099916062,1.0022684020662693,0.7975111117671819,0.7616442048568932,0.7601533830346533,0.7676498052095663,0.7871717041097703,0.8085482672776438,0.8522370443704427,0.9203036982819839,0.9407285490771858,0.9907676699776042,1.1242038879570782,1.2498199672975112,1.2145457141430438,1.2861618769513956,1.5792141197681662,1.4172108699494,1.6079917800231003,1.367553786929649,1.1849195112847093,1.2988272718811535,1.3496335217434938,1.6468981603250823,1.465792135488042,1.2242135280009658,0.9155858961335238,0.8604716824481538,0.8809913243756262,0.9156776721446435,0.915945821814307,0.8437254805538912,0.9026134132934507,1.0537795481846834,1.009256506026775,0.9597493768217349,1.1568978793682414,1.2683245729176431,1.1275210106520654,1.3536587308532884,0.9421997851795106,1.0000814577111117,0.9026791820278947,0.8282575508531883,0.8885467163360855,0.9574558285683066,0.9606414835387527,0.8768936921855366,0.837542943906293,0.8598669412988894,0.8847001188916805,0.8120533534457364,0.9266294150307609,1.0248996806272348,0.979385346631366,1.0419309372454284,1.174160053673755,1.3520932268347698,1.2212332205319518,1.252790735329619,1.1324435596034228,1.0290967440292007,0.8551749511356328,0.8970939384633443,1.0681840471201478,0.9407109296243089,0.8582528786240766,0.9823009051584997,1.006699685439382,0.8509664826509182,0.9894333363434675,1.2512888687785082,0.9941402309764318,1.0599861882914268,1.17522290085256,1.420283021013521,1.2461354781200125,1.112941691880498,1.5872882231446517,1.3924169726741837,1.5154058811609248,1.2816795599380182,1.0705975096327933,1.0581903772784833,1.1243614757426843,0.9159337470787069,0.9659367048371552,0.8839302815553604,0.8537043299777527,0.7980036613904671,0.8450186238314431,0.756385950494345,0.760518619743444,0.8271166631523197,0.8066781552111956,1.1972236909739207,0.9976774500893144,0.80821379226838,0.7923576355200287,0.9049212752624193,0.8007481234437878,1.0248956283032922,1.0576726782723433,1.3909394167679758,1.9530086903133677,3.132542866565047],[0.8141266961758863,0.9141294188489278,1.0096419614229541,0.7761374319025128,0.7691413201194419,0.6760419839903115,0.6914992131177761,0.6912775612158468,0.8041825637054411,0.8598843994070189,0.9048689329426385,0.8966718403732965,0.9752663486959037,1.0108896052892467,1.1309096858487369,1.1032240310168302,1.1753137443219532,1.2837629350199984,1.4529685598763993,1.433383802698851,1.5777712158466162,1.6354171309677223,1.8772078365758245,1.9458129635313068,2.0298882839432237,1.6643011116211168,1.4186293782912498,1.3202142433324497,1.2418806093442027,1.125671679630902,1.232639731234603,1.093572250339797,1.1482880802798594,1.2213064845596016,1.1926082704388739,1.2604308125964139,1.182335479590485,1.3526235313598047,1.3162435216629491,1.4141519132427365,1.4600573713430025,1.4808228021297638,1.5050841695177108,1.6051361704964957,2.132398533272188,2.366532786083298,2.781536360125238,1.889993640334725,1.77878863510185,2.0620758093362976,1.869068769048671,2.16615359096455,1.8229058607192528,1.8523917786327473,1.7692955489275126,1.6381798866482629,1.5588496926567466,1.5896134082467241,1.5080442941266232,1.921890259723852,1.6795818514483796,1.6118520235665343,1.5574372531422627,1.7097368629885599,1.6790185784187213,1.5254462484086795,1.6386784276738384,1.420755491402332,1.4723549622248953,1.4158920740477974,1.5193800467543577,1.797164514556378,1.5218679017358463,1.58646310927384,1.4389422821959894,1.6166097540348499,1.446578558360171,1.386024344964143,1.3851283962439394,1.4316139403771673,1.3106567452633555,1.3848645599452125,1.3949437092339876,1.2035651202747297,1.1930679885341609,1.1759580994085832,1.3282429266428997,1.228179354922511,1.340620520907819,1.2900477198117344,1.3387012921886237,1.511003365026876,1.3915153331722299,1.268047472437716,1.1926119116031986,1.2673214664096384,1.2050698152876849,1.0605149778825433,0.9430914288351924,0.9167756048705435,0.929021205277959,0.9089979648643147,0.927770782647345,0.8707111334119481,1.113456291898986,0.8334953886766326,0.8216259887106776,0.8070142037746121,0.7333100717913135,0.8100037647220127,0.6977072970976637,0.7384593286484087,0.7284427431300394,0.8232269826633195,0.983532106629525,1.0652260762306123,1.2159470981148037,1.3371077388294714,1.5833063989481195,1.2783721084292277,1.2445660997968984,1.1301578852860308,1.1084287815549092,0.9878985165132823,0.8055110213416837,0.759735032959338,0.7655386240289971,0.7432926080600507,0.7675208511769682,0.8390258737116332,0.8874834648610047,0.909009908512338,0.9186553581071354,0.8723454643877238,0.8970438498848401,0.9786396814563727,0.911263319707351,0.9282724272245525,0.9631907748044745,1.0714509368292233,1.3017970742792957,1.4889873670851357,1.4124984772207627,1.2705565825704948,1.2985000485049873,1.1826533473209746,1.1012651997299343,1.0029540284636345,0.8643660437853586,0.8142511632135416,0.7616751794861116,0.7733057713812043,0.8116338575236208,1.3012673902386793,1.1346294808345119,0.8227297110173141,0.8231748223892574,0.7782428853457215,0.9093869474159041,0.8280382169215261,0.9554461477742636,1.0729095242094884,1.157935172141243,1.196753683702511,1.2628041317941712,1.4294032066234303,1.2797529701040324,1.6142819565846984,1.3234338503952128,1.2190560410901117,1.0637883121455958,1.0403142114818102,1.0687619406479927,1.041568119905791,1.0118135402289934,0.956129095018572,0.9874259184288572,0.9676395445576368,1.0368571511809372,1.017936120072429,1.2515591629949923,0.9325457567419801,0.9978048589803646,1.077821388991897,1.1328513872635841,1.185565638998419,1.4340611336990174,1.531003716220796,1.6586047671567414,1.5636038713070741,1.885412034307135,1.4726499040601262,1.4593375075819606,1.3258465891099913,1.1437195200265138,1.223419449224296,1.143929744545559,1.0520101643422588,0.9385737911744161,1.0022808455579117,0.8581942391253653,0.7878558051241314,0.7730662515199176,0.8262444135172269,0.856514652935899,0.8316918777149683,0.91408520561197,1.029359251685003,0.9913239552080453,1.0446952267226897,1.2291356192791103,1.3392704414120542,1.2531299730545777,1.3615348037614596,1.7153625642345947,1.5560532649813676,1.705039919366172,1.5629309840713181,1.3531503788622878,1.4441023015976788,1.5070586666062846,1.7605821498644334,1.6143695421474478,1.2823572466601174,1.0661841070778213,0.9904182923279177,0.9492559550250992,1.0458516607692803,1.0517876035929818,0.9779260991936736,1.0133068422199627,1.1816329325636847,1.1360701646536437,1.0549028147434456,1.2627921965844768,1.4506127019509754,1.2691431653890914,1.3888126459950076,0.9942968559566977,1.0405677102487698,0.9749711792065203,0.897227333515642,0.9276042484071727,0.9628566071076131,0.9900400257166626,0.8872048100199943,0.8808427394280414,0.8636847922192858,0.8725970681757909,0.8233359028258042,0.8981111930471118,0.9735350201461247,0.9651406711969879,1.0413847419384827,1.1430329586627976,1.321718175866639,1.2476548025520928,1.2812657928969367,1.1945977069330953,1.1003111545920152,0.9200921124924655,0.9955319985114437,1.1810305705201711,1.050583261126633,0.9709340131402694,1.1351266162567044,1.1651329854187629,0.9856944376373558,1.1380489914279348,1.4218791614694961,1.161524965684222,1.160399932178333,1.312565097452032,1.5629030122645324,1.3971472886599436,1.2762990848034947,1.8230326873108407,1.6147270340086253,1.7324812959114155,1.509294493857182,1.242892695229211,1.1914187589422056,1.3313328506424063,1.0634381372628614,1.1288190007532077,0.8653281962057561,0.8882630017661335,0.8050993463198767,0.8496371374052729,0.7322187867025851,0.7334479983401005,0.7822802326906776,0.7636141598553051,1.1006408404100534,0.9209760256556109,0.8157397914272475,0.7811576526153544,0.8621666456814142,0.793087191713937,1.0242280624674986,0.9801683102488008,1.4422695909000118,1.9643621770247583,3.063553212624792],[0.8342086869278056,0.9114166078313973,0.9828834655032828,0.8064328357245231,0.8540424706092722,0.8388058605118701,0.916482788065504,0.928989725881024,1.0638388901158469,1.1303872729497482,1.196127979167672,1.171341889234659,1.2211585935560998,1.2747895461308756,1.3882307411945767,1.3524182708843238,1.3784786941506861,1.4809124616596372,1.6083041054448504,1.5741093948769385,1.678259224980952,1.713724675269275,1.90181768510349,1.9802661730521234,2.0557652503591535,1.7480274554329793,1.5380363981361813,1.470305858062586,1.4278521925577397,1.3321341727501108,1.4638319412045104,1.3370582754160674,1.4103139619516893,1.4613896802112574,1.412019452233019,1.4596305105800726,1.3787672036812988,1.493152761069734,1.4366401340549289,1.4991413934133047,1.5419260887057311,1.5721265614373612,1.5790873128404468,1.6429827937697206,2.1059690519595136,2.310357102391835,2.7085806025179875,1.8739006784283037,1.7761924278510501,2.0331794537780774,1.8374298960335003,2.199908092651806,1.8591712076681004,1.9203519445117885,1.8279086463349794,1.6630528023318123,1.594679689320216,1.6789194149781483,1.5732657074295666,1.976019537968278,1.7276604332231604,1.69711360176932,1.6926912764091362,1.8018602015217333,1.741084691973584,1.638962597474038,1.7534930185108177,1.584022979905437,1.6182650275954393,1.609747506539822,1.7002497133930243,1.9431063999905571,1.7199530277813326,1.7311701610205643,1.6324297418981284,1.768580396762645,1.6079531203113924,1.568330080999677,1.5547875629491088,1.58370065939153,1.4726580227436774,1.5116856318568634,1.557731941943854,1.3437338851092506,1.343969300711677,1.3423208435454945,1.4736143405563933,1.4085846243373006,1.514624902055305,1.4903637341825773,1.5489106911336814,1.69976167993673,1.6116919050522434,1.5234304370033418,1.4540972375375782,1.5357379869507555,1.4657913074145363,1.3389366911906193,1.227065863748436,1.1908220892398318,1.1954005985080733,1.1476568321708198,1.1477475782796793,1.0775898548934795,1.2091499453652566,0.9702699385079159,0.9317085924396568,0.9072153737154073,0.8311799518256346,0.9224371616318857,0.8258870936771194,0.9029726527759481,0.9392690778737306,1.012470144467811,1.1714379535200556,1.2285504160015313,1.3656448874458336,1.4643824993740053,1.724291595779654,1.45362125286384,1.4264112498000252,1.3193539562360759,1.2834675534798137,1.1749069500159992,1.0233163282645545,0.9331492637121255,0.9068955873002916,0.8747559593247123,0.8639220865575111,0.9540964953600171,0.9217022286731662,0.9421162781233516,0.9546336172740478,0.9557175832430858,0.9686133977714473,1.0688059657316498,0.94434650337785,1.0206420766996305,1.0670228557638801,1.1703408625056406,1.3561207500947232,1.5329680091108102,1.505865945502727,1.383521880598576,1.4105228166647037,1.3426581275663279,1.2595031762596034,1.1865259278562539,1.058967010949825,1.038341536144752,0.9657949294456356,1.024351506027763,1.0109032839648062,1.534246732218348,1.4157080106103677,1.0843190906797677,1.0839161175637675,1.0180482970600229,1.1374261280306088,1.0222795841885344,1.1084845313397047,1.2302655136983507,1.2623972015640406,1.3016882148909017,1.2943368577107843,1.416611979889764,1.282972210308726,1.5341646795549697,1.270657101016486,1.2009777482868291,1.1007052000513724,1.1244686743415637,1.174044128379292,1.163098595019112,1.1616495895868821,1.125379350201328,1.175477223742873,1.1574290805503626,1.2051617867282072,1.1657620247281506,1.3267107344081754,1.056293796577558,1.0703238950827842,1.1111022159999813,1.1783302200251733,1.2321513420712444,1.4851790967317346,1.5131067434132344,1.6293772262094637,1.5331812585667473,1.8612264548784754,1.5176472914574495,1.4569574717078315,1.3226219093930525,1.1169886161895397,1.1601715381434674,1.0959877849542325,1.00794387876012,0.89782905373419,1.0020631754117517,0.8193023973057048,0.7865331789389564,0.7908037334159883,0.7686893520061823,0.7875966171144906,0.8168003686945817,0.8590966554245458,0.9189923837702575,0.9087391217011934,0.977523543140176,1.1095798910915262,1.1952422492444366,1.1597544678665543,1.256256567516088,1.5672961095670073,1.4017731550281145,1.5494634823499431,1.3816620033594509,1.186389384133474,1.2724934687690708,1.314551224885201,1.6411640853567298,1.455153239257034,1.1980171996489546,0.8977728666646508,0.8532227499744045,0.8716759762685199,0.9434013439327762,0.9228863542423766,0.8607477447513026,0.9179962991832861,1.07384534077282,0.9991918155051183,0.9647092429102467,1.2241627502431327,1.3506396908962228,1.1712236637597142,1.3807715786198287,0.9388928691449135,1.0125320222574594,0.9307354926892168,0.8596058715932056,0.9340439158082555,0.9676651491425933,1.0577241721745145,0.9240610005757236,0.8715641449094355,0.9177051367213452,0.9463269076483279,0.8181269852162462,0.9067739389663838,1.0124019889683404,0.9550733983928151,0.9836955207922777,1.105692900739306,1.2961511780398782,1.139680514018823,1.153104998001977,1.0585953911831352,0.9610888501955064,0.8249048064488925,0.8553499804306339,1.0125956157441012,0.9096729735755389,0.8442231158406441,0.9698790499654276,0.9988038473860396,0.8571194211227926,0.9875173484649998,1.2605572630693866,1.012176966506385,1.0457902207126817,1.1832325760799447,1.442882819976846,1.2745443783064871,1.1494222375337928,1.7096020002502987,1.4889141888354869,1.566413605581509,1.3589559621796299,1.102348108881851,1.0782893966179499,1.2335051541824804,0.9589059797976391,1.0100024143313013,0.7891349655027508,0.8114886606893912,0.7800011185419492,0.8428051081626655,0.7990052982647948,0.7923289075604797,0.8786248691703362,0.8404433608990414,1.2861551451196591,1.0270322614818277,0.8456960176419966,0.8821475772861754,1.048562412177174,0.8669456824510757,1.0086314377093406,0.9840040635243,1.6714213138818568,2.133442473673313,3.0016764985524333],[0.7471905440622978,0.8789961548397999,0.9980819247422394,0.8048231760985707,0.8622476099007402,0.7829811983177545,0.83450277713977,0.8336146893292179,0.9243736860412883,0.9555847173843126,0.9867290629368436,0.9880830180822986,1.0320648392035845,1.0488720568502843,1.1328619629748462,1.1143726417615445,1.1421177136789424,1.1957448869181189,1.290069391444963,1.2697803956315288,1.3547741921174659,1.396479900782793,1.5816924554376723,1.6206238321638011,1.7746012502057316,1.4374461382709924,1.2378200714281846,1.2030964749185395,1.1647084760927913,1.1038089462422538,1.18495746741408,1.1002352117445136,1.1529216742191108,1.177878844609706,1.145872965426975,1.1904883124194765,1.1408681155301614,1.2249806926459015,1.1782407897523806,1.234983453502069,1.2804679467933173,1.2641364839326505,1.2669656588991167,1.3501760769928601,1.8725666064937603,2.1852568559879524,2.5266334024691908,1.613622032885313,1.5909838637618123,1.8422592505530928,1.5857624274702813,2.0479050321048895,1.5806268416502387,1.643522788746458,1.5784096814107667,1.3650928335826717,1.3047520015040797,1.4076750326346208,1.2710356232852427,1.7263940961902124,1.426399566934204,1.3761977923716249,1.3760077019836674,1.463125730847591,1.429596404842896,1.3230316191210363,1.432921952459788,1.2648894311533336,1.3236039120044483,1.3151551773958086,1.3973730929905646,1.638302135974849,1.3953889301110445,1.4231662816249875,1.3125817352852693,1.5058776320044904,1.2855206919899727,1.2474358691601906,1.243475753264688,1.277451697052571,1.1929341207644337,1.2490873086779635,1.3593409659054527,1.117447629663904,1.1298658241263917,1.1080648964567468,1.196303138290824,1.1597595147114783,1.222909648292834,1.202854993045075,1.2424426465585023,1.4069210268555525,1.316239642265814,1.2227815574082288,1.1724663649176221,1.2529158494621055,1.209357505302493,1.1067035160617624,1.030853174037705,1.0365136199663487,1.010576651803459,1.0288576754923595,0.9922696247734293,0.9675073283956148,1.1190581466872265,0.9029501071896824,0.9050091279606773,0.8954663239628394,0.8326993246978397,0.9079642676295568,0.8034572089662986,0.8289315769273105,0.853201310059434,0.9077947043901372,1.019402406600416,1.0555867148517561,1.1485578946168926,1.2183509475890006,1.4267771569519418,1.1870759172050582,1.173858418315992,1.1164279602071594,1.0956911356172945,1.0244638428699466,0.9031787519639818,0.858272432817049,0.8810329218094732,0.8421398828850611,0.843790402019359,0.8965502860317408,0.9061588417883776,0.9277808256805955,0.8965882404657501,0.8767223057033672,0.888863442524998,0.9780111509255729,0.921040969204075,0.9503364675378504,0.9714712202517612,1.0242611462650504,1.1500215060150472,1.2796931737464414,1.2378181194458016,1.160118390366264,1.1716040521334612,1.117419420284406,1.0671214174525594,1.029062477675859,0.9281902723323068,0.9215862369487267,0.8876334411493519,0.9157299736378305,0.9396039261725851,1.4508057654093285,1.2936426332440756,0.9538310012467379,0.9375632580587339,0.903451953279993,0.9835526622875944,0.9116227982196556,0.9709544769267922,1.043547065303219,1.083569971183729,1.0998738670111607,1.1300584726814076,1.263489383481595,1.1693365198431989,1.4511074429254254,1.2479555135738079,1.1553698953998177,1.0175236797359253,0.9783368064165998,1.017349443497234,0.9995067388967247,0.990664137817237,0.9678445910275816,1.0064594858479319,0.9938842297286558,1.0217996479191165,0.9997111916380124,1.213824100883778,0.928737773936738,0.9304873988916889,0.9822580397487133,1.0310906913822069,1.0408250534883507,1.2518606948241089,1.2657853938838792,1.4248775577820096,1.3530973104352595,1.7173619789832584,1.3428305703938415,1.3372836715370602,1.2241867140410703,1.035024760057459,1.0960737401937464,1.0519716801109964,1.0021096015417428,0.9226405474396385,1.0292545511113638,0.8551648008943523,0.8299846268679161,0.8270469124461536,0.8177610061681116,0.8312554307274947,0.8464103447281773,0.8963029015615179,0.9441219326104214,0.9258526885370665,0.9811066708146107,1.1067850558174699,1.172625607470993,1.1374858292292194,1.236490907821071,1.533990598304889,1.376082897470974,1.5075337484325948,1.3463521941393848,1.175967633266569,1.2485863881002668,1.2782965570544078,1.6414740146760676,1.4235331909519593,1.2762365987044197,0.9251523408166923,0.8853565913949676,0.9042719330813112,0.9608425848429007,0.9420419291182242,0.8902623278260896,0.9295045921481446,1.0740561132896558,1.0102202386467611,0.9708835733694469,1.2212740311248862,1.3050074561001346,1.1621565014192246,1.3860378695722255,0.9609670300387494,1.010118939059617,0.9587318310093796,0.8867001011680382,0.9525125520466423,1.0086863843238112,1.086168079297488,0.9565735377883926,0.9185732844349593,0.9585947178278595,0.9789629981951463,0.8600817618008637,0.9280667517437758,1.018347328319657,0.9687230887974384,0.9962129158562956,1.0952232987302661,1.2691897458921366,1.1278687115563801,1.1365564112973958,1.0528043151005013,0.9772751982479841,0.8583383204825317,0.8832304206862202,1.016127605354047,0.9321402471914367,0.8797312792301653,0.9746261799667104,1.005062047060333,0.8824672643304755,0.9807486549120894,1.2360732658150373,1.0172141879151022,1.0551222991795763,1.1566012870756734,1.4196162414958975,1.2685102039644154,1.1632228020563402,1.6782526979649819,1.4929578845216742,1.5314706619441691,1.3632292473778733,1.117227576488867,1.0934120016483755,1.2812166554577393,1.0055329102663253,1.048036422697681,0.871077954060874,0.868044259986306,0.8219162181858607,0.8702144843132927,0.813589846516148,0.8199408175771706,0.8972120498596527,0.8718930035916482,1.2971441151884282,1.036662765896747,0.8481115211260635,0.8610668015788581,1.025796460969606,0.8477148893278549,1.002847600058155,0.9329858769245817,1.6881201213304076,2.125419421872263,2.905128325994438],[0.5914050757548601,0.750208681074706,0.9166558665561045,0.6516916989080338,0.7751105924270989,0.6902195775592337,0.7421990132151401,0.7518611471810102,0.8252609052963346,0.9061937106470597,0.9420428835979053,0.9433509591096152,1.0181578031684386,1.0385256189590943,1.1534203089522794,1.13782999911711,1.1963079743907215,1.261337153852231,1.3715160697971511,1.371462670769389,1.4536421190840492,1.4846166248913637,1.7273204382910936,1.746650066192184,1.9412977333750672,1.5641612554074475,1.3550833231236958,1.2944482847573597,1.2443519391366262,1.1673942900160694,1.2296897394677304,1.1393408724398841,1.1753039028030126,1.21858786859565,1.2032654621355154,1.2513282140203306,1.2080079195876154,1.3275006879702902,1.2909269387756996,1.3704151117866594,1.376886739754415,1.393262744202651,1.3976437819222445,1.480744340083911,1.9866544263837171,2.271236191120152,2.64330392389582,1.7464931030688997,1.6945109693524905,1.9558161803667444,1.7629914129645272,2.085888189771113,1.7352860536036327,1.785010445295228,1.7317248510051757,1.5376129046284424,1.455993575375476,1.5212512478436804,1.4118248783707315,1.8154116427719238,1.5875610339074873,1.5089225945716465,1.4628236169486297,1.5546573920999482,1.543581923861512,1.420283162589215,1.53480759971554,1.3497464904607344,1.3851985987866013,1.3528084996255483,1.4402983332449824,1.6900942788475284,1.4201544862588316,1.4674888352768187,1.3678965758847983,1.5401525568510142,1.3562929313335623,1.3137892616757456,1.3195094108312186,1.3606080716051272,1.2883059204616725,1.3638510081358288,1.3930349486822118,1.2118863144718606,1.1907388057526056,1.1836911503150531,1.2989131935221891,1.227558369364184,1.3008207177601838,1.2641501183589123,1.2961978601079234,1.4570413256717152,1.3537867520034144,1.2601815448773575,1.2076817974925806,1.2648419789375203,1.2095029851917745,1.0924757304135144,0.9993238239166087,0.9560868581139497,0.9961469343998532,0.9756869149093402,1.0108626740417217,0.9524727586233351,1.1818564161779788,0.9334752247655136,0.9090713467696675,0.8558933108217609,0.7909780682694758,0.8904617080534188,0.7563541382220699,0.8276565659393601,0.8013696710380639,0.8938236433133812,1.0289149788922172,1.0919159835351913,1.224374987259836,1.3054942043314144,1.4959272813695712,1.2384257089593302,1.2055805414972192,1.129444510359042,1.1249513941595835,1.0387034959667432,0.8723685520021136,0.8282314799834937,0.8049546469981067,0.8098685494939006,0.8423348872817192,0.9135179112187546,0.9272697345842799,0.9369085493066653,0.939710025886136,0.9266418116133749,0.9333755650605342,1.0344539935948005,0.9410715880733144,0.9771263924419095,0.9972191491697163,1.0898456170973279,1.2607355884838698,1.3970572551629339,1.341670071597957,1.2522379035252826,1.2729582874780538,1.1859960326961854,1.126297039705678,1.064879710556693,0.9404367513774554,0.8804318292435085,0.8056034578876567,0.8157870024982775,0.8688541653717218,1.2708322268193195,1.158184761865507,0.874669271557656,0.8900242465285616,0.8554537316438668,0.9808857341604146,0.908660413569628,1.0192951695136043,1.1038962673676178,1.1651493840651261,1.1952534416250633,1.2536382448862202,1.3888591286502445,1.2416743104486079,1.5368144536310333,1.273808467639313,1.1958574804156963,1.065718303139973,1.0678790404528116,1.0959790679816006,1.085144960998599,1.0589746510103584,1.0178701299926547,1.0475563367489718,1.0198954281146388,1.0731388162015525,1.0704477468437272,1.2830748785890054,0.9998868674578326,1.0344275745350853,1.0732376070085405,1.125930280180228,1.1564989533473946,1.3850508501094014,1.4393287651053708,1.5664635782727738,1.4664562100394307,1.793435474100338,1.4321548381890146,1.4259464479228294,1.3064881484495638,1.1188189322752,1.1778934702013606,1.1173487823924302,1.0255483556372995,0.9033539727832117,0.9993234824867038,0.8234706249194896,0.766919349787195,0.7637488540319948,0.7581972797731835,0.7665392439854488,0.7651793066522871,0.8367494056625694,0.9139318632304092,0.8609237655368664,0.9176035443512286,1.093774203242997,1.1644836456084888,1.09674508347723,1.2327997056238849,1.5222796343169385,1.4420255485763402,1.515957839834596,1.3961850540641356,1.1809368676931271,1.2538589778608498,1.3102018564450946,1.6034706860435195,1.474717761889291,1.1354388095305097,0.9084976950530255,0.8675214913811081,0.8687862027441304,0.9466650560060542,0.9256771772872003,0.8696938228798569,0.9177269300241537,1.0733130211573438,0.9722742253989448,0.9641233268628258,1.251795234981679,1.3559620482554375,1.1711652587173347,1.385162523470126,0.941273123555627,1.0382848753660845,0.9256954527680058,0.8438965431664539,0.9111926748170347,0.9165904595697371,1.0145848704933673,0.895772516248308,0.841652621637034,0.8399631074246608,0.8703000165453857,0.7611982464923603,0.8103504541591133,0.890377873452838,0.8631926109972521,0.9061888656976946,0.9842400408832193,1.169752409605641,1.0760997297100638,1.095762436705517,1.0177366789800881,0.9252416627513389,0.7926205229574432,0.8573963013028371,0.9908057761139232,0.9012252034273748,0.8459417310878403,0.971104782507342,0.996009973030256,0.8682229725377784,1.0038463005525426,1.2649911633315671,1.028627117366434,1.0477506194820556,1.1842412872213415,1.4218475019289851,1.275351578403739,1.172995855578739,1.7394931913086533,1.585117366162353,1.594752814947647,1.4396179886828715,1.1403283342767023,1.0971620066171075,1.346181434535656,1.0131272583006343,1.0647081933069407,0.753361220428339,0.797874191364109,0.7781379476575147,0.8408640594676241,0.7828465904464093,0.7385121086078764,0.8119878520225436,0.7586444613041448,1.160549316167949,0.9441394146498442,0.7896575250158085,0.7643604907365682,0.8374583770962245,0.7346191835832171,0.9444286223024184,0.8258626676118116,1.5485126310330943,1.9242070958693467,2.7456827073400403],[0.5923578601478535,0.7536747582026975,0.9396947116046015,0.6671225390202234,0.8486060070104026,0.801620235287458,0.9021069242500739,0.9326904273046203,1.016412391786495,1.1300914512326754,1.1848219008995258,1.1766126978904254,1.281786622569288,1.3009224337531142,1.451694406394869,1.4375034133125215,1.4906159364777483,1.5783374761821063,1.7078245258679494,1.7112197791931403,1.804153518735021,1.820462038461154,2.0444416636025617,2.0757899246759934,2.2288420930066835,1.8923351709883156,1.682145059638294,1.6087208821284609,1.5602164810296368,1.476933703022215,1.5524473077028489,1.4455444529103068,1.497548751643467,1.5582643329755097,1.5347440427791381,1.5834325777134863,1.5301447909301358,1.658702010330741,1.6039284666845142,1.687083385799459,1.690243040433739,1.7178286764639807,1.7218858314028034,1.7848474986234089,2.196476083933075,2.380695542411146,2.7910433530796586,1.9997505404232432,1.9157930783746855,2.1572079445523253,1.9906161159200064,2.311416127708175,2.012500709800154,2.0999867208939875,1.9785236422054393,1.832841281582291,1.7526869897784596,1.8424834965976238,1.7480965380256623,2.0947902112886725,1.8925999984754844,1.8585448509778364,1.8089623040052756,1.904999291086715,1.8780835648079353,1.7615318921346692,1.8667087399662605,1.692816390027945,1.7027545619419728,1.685667650342006,1.74509870884604,1.9910535420480724,1.757756959189471,1.7886845006544443,1.715866469111215,1.8599751895863406,1.7052960391069658,1.6659955247283844,1.6731119635474783,1.7066270093069356,1.641378205988018,1.6922982047480977,1.6695763874164606,1.5148308196348341,1.4984080141454441,1.498924483128496,1.6357204784753523,1.5655767216773777,1.6442132633581787,1.6071949892317492,1.637388306097088,1.7801965825098074,1.6861822456085194,1.6055580515732315,1.5308482904440286,1.6057317169387957,1.5031039403621163,1.3904357413287132,1.275213245240242,1.2040314411498758,1.2888865779582346,1.2334326878860071,1.291295713136813,1.2000560307306989,1.416979802251915,1.1534063136930863,1.0996506762114122,1.0370669341854373,0.9584338627832962,1.0687859729035785,0.92001703869786,1.025299468656451,0.997603554687023,1.1022468834459984,1.267226071137592,1.3289012223920382,1.4951720186328799,1.5845465445960933,1.8081203702319726,1.5459789666884753,1.4880782431462378,1.377872215415557,1.336550175009698,1.2443055020373,1.0585222248549224,1.0031235162564658,0.9343215046129022,0.9872937357166497,1.017457844870332,1.1114852974639509,1.0675211689945694,1.0782474750503752,1.1058467585299048,1.128910520767168,1.1264289656803839,1.2001046698924351,1.0641314195343021,1.120985980714828,1.150420023011188,1.290925543545969,1.499334776639427,1.678365146138584,1.6462356564832326,1.5285211913495875,1.5672150155264037,1.4835851832530755,1.401430011516697,1.3285501714993215,1.1876959743093431,1.102374940640248,1.0003747489932924,1.0301169758388589,1.0476386963994142,1.3718998564376523,1.3406878177881827,1.1248916463903897,1.147216963973219,1.0987523602397518,1.2496183868328825,1.1565783826451885,1.2761922384769464,1.3837801693592133,1.422790017210918,1.4780047800532994,1.4656036718334764,1.5509646457298178,1.4016525288553447,1.6017523806449303,1.3071004695472102,1.2566971230557182,1.2139186386536749,1.2858302344887147,1.3430714683580152,1.343396924248669,1.3380057039260884,1.291253891385914,1.3303175658865682,1.2994091356788393,1.3655917464981082,1.3428364455023432,1.4971690544386702,1.2478255036988282,1.270627334534748,1.3001269773105562,1.3529453971067487,1.4126808112055091,1.6754044786377131,1.6669531021785187,1.7609166151000992,1.6705773126718715,1.9671896815726155,1.6429230755185051,1.5620160324821561,1.4309218854732082,1.2383991167934598,1.2508429941836392,1.2060252400081866,1.1163144859972847,0.9800190443197776,1.0854751112582963,0.9205537853318463,0.8707148782861496,0.8666056184745677,0.8355473436920814,0.832999757959195,0.8287798046869369,0.8935279873899762,0.9569764110480852,0.8909419286689676,0.9354087217280774,1.106997291999795,1.15676807926215,1.0825828035215472,1.2228432595460805,1.5092101771787532,1.4483822446563785,1.5052669201655273,1.4314483144035155,1.210333687453501,1.268737890194353,1.3416716767439394,1.632266951315093,1.5302870684993235,1.1491418063380199,0.9640153377754658,0.9464729010472351,0.9547387549195675,1.0248555579972956,0.9948695481918394,0.958515035116124,0.9955250726758871,1.142560304677494,1.025107590812811,1.0369333485032708,1.3630113607824619,1.4529654384475297,1.248472087686343,1.465234656203223,1.007142849911833,1.1391794105266881,1.0102138567354633,0.9307969432570771,0.9973295468322468,1.0033483073181988,1.1480240711061798,1.0005214006120884,0.9242239689940756,0.9546036353137469,0.9865182823247219,0.8291536648842315,0.8587798132395433,0.9338780331190549,0.8966941966292222,0.9238676597915562,0.9900670113896897,1.1531926516951396,1.0693128572137818,1.0836332023884225,1.0223698428969472,0.9427208531513894,0.838611394808312,0.902583173270098,1.0131616704045185,0.9371885537319071,0.9081395459053836,1.0206591528166336,1.038217494525995,0.9359022229697045,1.0779410607593796,1.3227706558751482,1.0972861226905322,1.1142321109928301,1.2547597225421372,1.4707121330259143,1.3420392586242689,1.2445752612108814,1.8349919384588558,1.6795402891776898,1.6502946504975282,1.4945211515866015,1.184528540181864,1.1311547473409878,1.4111845034271977,1.0868874246182807,1.1550331208102964,0.8022153622960112,0.8510893516447305,0.8544767488051269,0.932660834177796,0.9109990270693145,0.8332256992745819,0.9304732725377799,0.8640588419001364,1.29264532782272,1.028574104900439,0.8515547613328592,0.8463229405935508,0.9472576799870228,0.7879640813780642,0.9657580500069534,0.8686951086648192,1.7850517634670997,2.190547848253913,2.8258617977007976],[0.6665096211225529,0.8224045907327455,1.0023781215628529,0.7403604394616581,0.9588903109644137,0.9328269718715072,1.045315874872342,1.0868896594670683,1.1516295159184033,1.253448428524415,1.298399091492891,1.303625849053792,1.4068262083753786,1.4053787835724307,1.5545117270180941,1.5478793888632407,1.5919216126554778,1.6582480991838406,1.7548037668343968,1.766387731121083,1.828204117621981,1.8384258007405776,2.0357938480741153,2.0546584826506664,2.242475270697204,1.9211081043683682,1.7428917463304736,1.6889078438695628,1.651673297529564,1.589528155900919,1.641745148176102,1.5614024662876886,1.605680838405448,1.651122690944213,1.6319879751421642,1.6699352245815455,1.639484060268831,1.7396049457518945,1.6818471167673235,1.748376648019454,1.7440554673634743,1.763232192579716,1.7596142845463343,1.8109332265833429,2.1918702120740376,2.379646394292718,2.7710350340422996,2.002312528292725,1.938774922851108,2.162452874861969,1.990732552609162,2.3567497082874245,2.0502727048479192,2.158673038237262,2.028795450546024,1.8501831898486705,1.775174694894137,1.8965577494979469,1.7761184015574445,2.1042423586597394,1.9017355469622013,1.8735093082146497,1.83767989818097,1.900984946902697,1.8803006027370286,1.7911138870632621,1.8851767881280415,1.7394968620254987,1.735548165844741,1.740774093303807,1.7832173893161862,2.0099432555790995,1.7893344200434018,1.8005578835126528,1.7628351617582416,1.894336857709843,1.7470213717725724,1.7169328765816978,1.7309558933081048,1.7594841475760328,1.7225000130369263,1.770633097941347,1.7590717136862186,1.6037432171146488,1.5970564692324405,1.598012431981062,1.7131954342964684,1.6595575869365935,1.7148929001197482,1.6853635151471555,1.7061541780319582,1.830084194541354,1.7517601826412013,1.6940699995119852,1.6277565126018887,1.6983259573089609,1.5925972786474747,1.5049971006539182,1.4068143338376644,1.3495678601409609,1.433101416009288,1.3904845093107465,1.430543335569216,1.3473167895813025,1.537530426508261,1.2967777847664517,1.243703013264765,1.1808936953429556,1.1041340968255389,1.2224991415400064,1.0674815469251453,1.1704584618134606,1.1476055782315395,1.238107539176831,1.3902015779157315,1.4398488903626592,1.5900402826915772,1.662513773939462,1.8553561555250888,1.6210859463729286,1.5624164127334357,1.4696378466096338,1.426865485926171,1.355985496393084,1.1879611781523711,1.1365442671655166,1.0588143086322654,1.1323475945143038,1.1542209604836078,1.2463205359480312,1.1656970780803566,1.1787121105992246,1.194949454979235,1.2422076606879555,1.2266126128930734,1.304396490875298,1.1475827946578525,1.2171970605084461,1.2473860488853399,1.383473026290357,1.5585792269727476,1.7105239512581736,1.7062031820022607,1.6105530289774506,1.646088929929273,1.5818621575181755,1.5096127812105526,1.4544918903252948,1.3282340963438481,1.2488156041628804,1.156179376637243,1.186569731602833,1.2023641878809201,1.4734748397113167,1.468444724797025,1.2806916543695452,1.2989209735279688,1.2601284867670246,1.393453459663142,1.30087955939754,1.408279727091855,1.4954199351456203,1.515959737682984,1.5662429457769989,1.5214866266495095,1.5788049358351146,1.438540382802241,1.5770373198781242,1.3280280618139915,1.2844866574756322,1.2802466056177766,1.3745605149819975,1.440927555012555,1.4495470683626006,1.4538384099706392,1.4195091315838115,1.45674006635902,1.4252639393692852,1.4794821242906426,1.4576497620854376,1.5821491764652968,1.3697645202522872,1.36937334239114,1.3818581864088946,1.4290826471224305,1.471468220405634,1.7252532990581986,1.6790897489393484,1.77765655366454,1.6845196666737792,1.9838887683092814,1.6946927826243061,1.5905954904394328,1.4743692964193258,1.2830701690720918,1.2537938909531767,1.2336647301866557,1.1778254706313762,1.061698318949944,1.1753498026166018,1.0201168787377033,0.9964519129258401,0.9901474430575699,0.9324786925474181,0.9259010363442626,0.9403716778617062,0.9797812151914599,1.0085589051696549,0.9645517851575968,0.9989657458762576,1.1321215207898285,1.158937801913173,1.1107764314576145,1.2355900539836333,1.4779257647233508,1.4300832803607844,1.4550443898760947,1.3884762821039431,1.1961378844502668,1.2438402672983953,1.2972196051383995,1.6451411543071974,1.5142800920941246,1.1847621632052336,1.0012577693748728,1.0113486532953009,1.0465404504676548,1.1068211706396782,1.0510232857015565,1.031310469258751,1.065097157417799,1.1678378425253244,1.0410492311359703,1.0852453937165463,1.4318969006469513,1.4795567618999426,1.273408171354207,1.5221573320123727,1.0772305089945375,1.221039381440028,1.1031861526343423,1.0342150330168733,1.1041033640100926,1.119347853144457,1.287330938579436,1.1261802201643543,1.0427074146288318,1.1093247565761821,1.1314999836031752,0.9488404212920175,0.9779063876338867,1.0549637426847402,0.9934448519626189,0.9945483681742001,1.0666100659659403,1.2106576812246062,1.0996973763567814,1.1033263595320097,1.0474300885785437,0.9869787617141044,0.9156311755307877,0.9578891875458885,1.0256770691734671,0.9765177924355406,0.9635156805509263,1.0418174067367658,1.0552893799076808,0.982942640144285,1.09421954018336,1.3119816349582027,1.1118779780327566,1.127116063207184,1.2446084035885867,1.4483146258910768,1.3356240496831027,1.2624948041599262,1.8377773073108026,1.7025901698662762,1.6068491890809429,1.4885853655201036,1.2021971600462786,1.1735522889123946,1.46783766100629,1.1498670962103004,1.1940436460476909,0.8772985037813427,0.9270458899063216,0.9584838912880487,1.031495073985699,1.0405269651122542,0.9590645626471235,1.065973075398139,1.0069479508605625,1.443350753618154,1.1491425145672367,0.9661208885448365,0.9921663781551499,1.0878051227053498,0.9013178405025901,1.0439365325392924,1.0022152504379567,2.0827223524947476,2.519659834956227,2.9830045782260965],[0.6281357593408472,0.8036053638271994,1.0028289743451593,0.6893668115328515,0.9038107985523148,0.8300375525887012,0.9133003951608232,0.9459120482097023,0.968391345660169,1.0626244329950034,1.0900808889141207,1.1104497417896153,1.211607484293514,1.1920152183066366,1.3387335896462347,1.3439978691908177,1.398812706276567,1.4484130019300006,1.5374352303963315,1.5646699658515344,1.6186840552642912,1.6380081425383497,1.8586291991449357,1.8640128152346325,2.079761709633684,1.719188703882532,1.5483416721260783,1.5075641275384666,1.4629925701441695,1.4004398330500534,1.4272952285550495,1.3691066055734316,1.4010630833270794,1.4365545666569786,1.4362586803398958,1.473035333757036,1.4607399336098594,1.568153884378909,1.5197256996204334,1.6040881548119874,1.5795643685828826,1.577095997106594,1.574590078287606,1.636792248224247,2.0725759587755395,2.319897767484425,2.6965010991222953,1.8627947621658354,1.8124097137975277,2.063003516833889,1.894477938949881,2.2222023263465855,1.8991049750037017,1.9791845048253884,1.8898428305866488,1.6964079657882702,1.6118441312586886,1.70398386444556,1.596015488456798,1.9339956691529148,1.7425397770598738,1.678347602963203,1.6299671519050491,1.697610838391816,1.6940491598759841,1.5955162474139284,1.6701303490451274,1.522977067997264,1.5183738240227798,1.4962515268615868,1.5484760058480285,1.7820494263812656,1.5339090497519068,1.5708372333802814,1.5325508993143708,1.663397687869706,1.5350746246473614,1.5013656804871767,1.5296238771917539,1.5677495336300358,1.5358249988840895,1.6007586081015601,1.6164072838610506,1.4741265868319868,1.4303548634364969,1.4363532528356646,1.5346214926500799,1.479804759095893,1.5133875601886428,1.4761688104651778,1.488356111759192,1.613530773291059,1.5300200064849976,1.4565122229605632,1.3992788221373533,1.4482649869676205,1.3746885521101644,1.2855681255206368,1.2000714925526237,1.1546710022970446,1.2410321040234438,1.2234549401715393,1.2784773967117882,1.2167666427331065,1.4483380490353348,1.1917696329018668,1.1586991456096296,1.0988682873674491,1.0359782212876396,1.1348143521008807,0.990197120540396,1.0734138300546416,1.0221741473780657,1.1094226463173902,1.2287976290997764,1.2915071790954005,1.4223138909295248,1.4887282915917508,1.6254746006035743,1.406483686907818,1.3462718210338136,1.2736884426731745,1.2488313047340969,1.1942354465604732,1.0331789848138304,1.0269220534245462,0.984403851851315,1.0378218801316694,1.0872623148273353,1.1624033714113575,1.1192963468920734,1.123092044522569,1.136468788522422,1.1661909514410989,1.1598293356602278,1.2352027647473225,1.1087241822216294,1.1578834318435292,1.1762391101420189,1.2995361081048085,1.4565550438105435,1.5696085082618654,1.5342261361459,1.468529143358352,1.4971055645429159,1.4211603949421459,1.3601308615529233,1.2963573899055343,1.1897709675526462,1.1034531384983988,1.0344905412633276,1.026327607075648,1.071646766361322,1.2851195069214052,1.2565264885741405,1.1041082801137048,1.1188730577493993,1.1099245036233167,1.2312679703413343,1.1788821359518786,1.2811971770091992,1.3514300472232283,1.3971934262418293,1.4347192070243533,1.4502751482851641,1.5339329421839771,1.3861687721454998,1.5812259095851269,1.2980090391797414,1.260956586358838,1.2240581439471352,1.296067396381865,1.3348608510267874,1.336890329081803,1.321310266505296,1.2879676945067904,1.3036421720751659,1.2767455584389438,1.3280827351428777,1.3320610836699047,1.4910716146556866,1.2702511110384322,1.2756502034583677,1.2887726361247547,1.3392468689601347,1.3650689621978356,1.6083141523158697,1.59989473149025,1.6838269609721128,1.5972238578494835,1.9125604148818816,1.5997951203674612,1.5368894509081006,1.4183179780036783,1.2356873608835481,1.2471521192065416,1.2273801200625518,1.1587927139851668,1.0315980455469023,1.148546428588616,1.0033430249751802,0.9640786194060174,0.9543523937544618,0.9224518358706315,0.9204228551210918,0.9183413908929586,0.9765115328921337,1.0291326977510844,0.967940614387927,1.0011658575730373,1.1649505111441503,1.1885590991731523,1.117851316037212,1.2654846032021436,1.4948885711319824,1.4881449068139565,1.4802851032706748,1.439393007168008,1.2354196151708374,1.2776887491727549,1.3339960305771277,1.653990636229868,1.562897221569016,1.1703773288352806,1.0152249801536841,1.0162646999732607,1.0310549475322048,1.088988669338398,1.0490357089771793,1.0240372812546217,1.0490853918668877,1.161067191614088,1.035736401279478,1.069389327702832,1.4065143051824784,1.4569863120946072,1.257363322352281,1.4858584668575225,1.047700284036546,1.196992587019948,1.071811521469814,1.0064687908046088,1.070556289386455,1.0801609084372052,1.231182468242588,1.0843923979396397,1.0166739951559918,1.0480666749509902,1.0752156471346888,0.9184616422031129,0.937409426543925,0.9953831876789632,0.9610223433685549,0.9828316323663991,1.0261585605794266,1.1802488802475288,1.1048725091570268,1.1157155013867288,1.066871301886048,0.9969664384933781,0.9220362329832388,0.9709073871750605,1.049079164641058,0.9964097966283161,0.973461885642101,1.0615625492067444,1.077955781188662,0.9952226559186867,1.114159148039321,1.3291432196993533,1.1345257770119548,1.1347382095162153,1.2579348524318639,1.445746139769473,1.34761345164394,1.2899125172864392,1.869539413943812,1.768996030825924,1.659483176749066,1.5625125425803494,1.2500467057438762,1.2148706310268318,1.5471502281961063,1.207838310731989,1.2521720745063443,0.8794615364403189,0.9294022750012904,0.9425389275177476,1.0037623361489154,0.9918423624458353,0.9154361256585303,1.0028939737631488,0.937890624606053,1.3331286228203318,1.082931813549641,0.9409509441505969,0.9184305087213949,0.9614960680267352,0.8485355088656349,1.0425397470784326,0.9293150192291155,1.9390011661852513,2.314139266586944,2.797645725883337],[0.6327975588831456,0.8042509673282194,1.010681101258835,0.7049731036151304,0.8823074348681713,0.8127473382312506,0.9022190900940695,0.9356773737471547,0.9752168357156914,1.0890923072254424,1.1329230968514743,1.1429850447285839,1.2531009208584327,1.250487036007715,1.4197151507560926,1.4163130250513383,1.4779496672773358,1.5689607019619902,1.7029083486490044,1.7310880282869698,1.8327203035584712,1.8540964753877267,2.104346934758132,2.151554105993451,2.2764975071763702,1.9112414372292053,1.7073241142813607,1.6224658403493382,1.570343430510484,1.481289725013166,1.5371190612955352,1.4439554585599752,1.4870275359374898,1.5557101154259745,1.549158228841833,1.59683548615613,1.5590863634356156,1.7075622940913775,1.6538168978907921,1.7751551087330948,1.7524440840005553,1.7604661115523166,1.7725917899031078,1.8369176981201882,2.2475517825724673,2.405487436160635,2.8431989801591513,2.0588908678915274,1.9588035291266295,2.211287226080413,2.0847661019327397,2.3274177396698827,2.066627594315149,2.1428403699342873,2.026283373367652,1.9089880435279367,1.8172431064207022,1.8795833446867511,1.8040140763404091,2.118588940409124,1.9397188357465849,1.8894531089888211,1.8259621224369453,1.9416602872079272,1.9057560721160884,1.7938823296920217,1.8807871741397624,1.7004693588443138,1.684968133951108,1.6534388599697205,1.7112947354907122,1.9636896325895226,1.7186073132591422,1.7582400377450456,1.7084577888255006,1.8430616169952592,1.72085535494475,1.6814916301957528,1.7031660969957767,1.7446224145553795,1.6867943740033189,1.7505232899084062,1.6969536199276085,1.6166447322178967,1.5520857601119125,1.5491939531624457,1.6805524823541225,1.6018246293059406,1.6658318403107506,1.620385127538296,1.6331151476506285,1.7635509507100193,1.66826132908646,1.576413356704556,1.4982685918176413,1.5569101064873443,1.4627322830125462,1.3536818201098042,1.2427728695448295,1.1736360976122635,1.2831999409414836,1.238838715432619,1.3267166144113633,1.238891645115551,1.5164455535835397,1.2155322082608462,1.1761511643623024,1.1204980196951133,1.0458965955543962,1.1344462997532236,0.9823798808533211,1.0767144183557933,1.0144701495054336,1.1121348108712266,1.2547057907511459,1.3255370673195794,1.4899392882392852,1.5773642238426349,1.7757228436309238,1.522091225639043,1.444824318334329,1.337390806904481,1.2865578938441073,1.2128395249035708,1.0328656628576733,1.0179098181786874,0.9695209302049993,1.0284112033040849,1.1010673109587226,1.1914423748364433,1.1563620193091815,1.1672570823147392,1.2118587776487901,1.2282818305239764,1.2297377396538118,1.2736136558172808,1.1534105569318915,1.1753566139852207,1.180670036270197,1.3367026842803207,1.5454400910416008,1.7276002388090037,1.6747786003630496,1.5578764228807043,1.6096760979049387,1.5063640728193348,1.420060343449398,1.3374958158927148,1.2128290706940132,1.1103340571991067,1.0304439330912176,1.0214639620949972,1.063965138833291,1.2770426603118097,1.2524966553501524,1.1117408116978997,1.1347897987820441,1.118477178443234,1.2639286838599184,1.205531844956836,1.3282007252951904,1.4263946666020113,1.4791885954523625,1.5467913060673586,1.555707784701819,1.6527711227756934,1.5051071136302856,1.7070914529962107,1.371433325410655,1.3366728048212921,1.3043536570277567,1.373160751646142,1.4218729374118542,1.421402323541594,1.4021314070856985,1.3528342348148785,1.365535598238783,1.3452243906248122,1.4220462182894258,1.419971796034074,1.5681175210535334,1.3357823958246509,1.3800452502684604,1.406772834542912,1.4578219564534016,1.518261815207842,1.7774926467154646,1.8048446666315443,1.8372940765269903,1.7937379590341715,2.083689159047581,1.7441813600780645,1.6633060685665448,1.5133415522182856,1.335828329203783,1.351179588563871,1.3186753696413578,1.2166013526325208,1.0654534508717244,1.1569683043240175,1.0347888862447558,0.9685258933761278,0.9543766057033395,0.9508900878250482,0.953416198408676,0.9230085193468338,0.9954488708105815,1.0847433722098099,1.002717530001537,1.026090179132582,1.2165184250561396,1.2612110405278698,1.1616282065073351,1.3090572910457783,1.5751069660507422,1.565809268711001,1.5883183198706587,1.5760092515431758,1.3507134682034225,1.4013209194895477,1.492758947976155,1.7328565758842787,1.6872365563886447,1.2288717589949065,1.1249448477172437,1.10004916851288,1.0842689488437631,1.1697872136928897,1.1454870987953691,1.1049410860020115,1.1211512226667666,1.2777294880953578,1.1547692758821468,1.161446833279953,1.4784751550629733,1.5903357712569324,1.3768960386276814,1.5462785666610408,1.094164115189492,1.2383419942497547,1.1045783378717033,1.0324831870268603,1.0754652591067153,1.0737348541430591,1.2151553821895251,1.0806076632302326,1.0286584569663964,1.031576719521641,1.0555493373039802,0.9265192636627592,0.9386065606830004,0.9863316114870078,0.9737998762569309,1.0176304186392724,1.0488640259347255,1.2102157408386003,1.163531236437792,1.188865190490297,1.1395067812772992,1.0641483275143182,0.9723445881516615,1.0485670183919544,1.1525031350189376,1.0749465703153636,1.0494194465175237,1.174118699587708,1.1867417268743974,1.0875466945774044,1.2466181806136722,1.4793445880474376,1.2528545478704634,1.254932159885841,1.4089927586689102,1.5850637039056914,1.473724056514958,1.3954980047291776,2.0146282596635525,1.871366071036137,1.8095417579799031,1.6517604600547244,1.3193411487856732,1.2452406048669273,1.5548358259857076,1.245304339394876,1.324818334978219,0.9238064159492995,0.9722682959492812,0.955086766007705,1.0168454036901446,0.9875839494017061,0.9076709123388272,0.9860143301908726,0.9147802776115859,1.2819163077581892,1.072853546728878,0.9369414704653619,0.892684227949248,0.9400028203490866,0.8325129992605836,1.0566469982276727,0.892287491241143,1.7634904857387588,2.119674186326742,2.7453673380333417],[0.6431732571173981,0.8145364092109424,1.0275195387362035,0.7176262568592611,0.9624692702207664,0.9137338518801876,1.030971608685963,1.0934860516493796,1.1308740910711204,1.2560734188742932,1.3122026180458146,1.3307723183075921,1.4550235459596317,1.4352704526045896,1.6300562113224626,1.6365002409542737,1.6831801577486227,1.7912786953821398,1.9227199899481082,1.9609542751940163,2.0553855431392334,2.0678255386628908,2.295736835215508,2.3498652075897093,2.4588116845935497,2.1230084134416805,1.9310127951728802,1.8376364785197694,1.7939925288584844,1.7077950278144003,1.7665535258265932,1.6716672581342784,1.7175596834874653,1.7971843163548473,1.7892054237344484,1.8320644946178881,1.79409870396453,1.9376636663486702,1.8755898832112405,1.9927758628002004,1.967591822229109,1.9812191814129827,1.9885803170286251,2.041938735545012,2.3869109222583815,2.4812247243313545,2.9150290309584257,2.222400468520111,2.117357546830824,2.3312274893144234,2.2160355903934668,2.4884634738039937,2.242442746121794,2.3738100296150075,2.2225652034658614,2.088000599681899,2.011746198715367,2.1060665802231484,2.0205866691960446,2.299823775109055,2.1324926610823294,2.1112086012796283,2.05233781593746,2.157712167936076,2.110276548417642,2.0212139419953736,2.104102874574107,1.9345210417908096,1.899884608226986,1.8755450189120504,1.925726840397635,2.1641185085940884,1.9424195574433527,1.9655034123812463,1.9447921976553761,2.0725382661206044,1.9567940386477238,1.9265286793179424,1.9478197349265451,1.9892500663805655,1.935775661070706,1.982690971061706,1.910422952887194,1.8449879200831174,1.7809618445023665,1.7745471200312888,1.9160892714982667,1.8465863458802414,1.9095327083724245,1.867363785667449,1.87345510512774,1.9921817348254849,1.9016264710611632,1.819499722804845,1.7289412004739015,1.7861947155420643,1.657979333392621,1.5840403848369382,1.4677841863567074,1.3918193688645142,1.5115067776617108,1.4589865568104898,1.549797034479236,1.453904089016123,1.698349212131085,1.3996387259140672,1.3578052489611623,1.2917287202546632,1.2066185290929088,1.3052612944417248,1.1335034128130514,1.2532222814924832,1.1852009375836607,1.2857796541621362,1.4296622771081948,1.491884316587845,1.6729772762280493,1.7575673510890646,1.9795030435973344,1.732024142263521,1.635083241114681,1.5086503667516222,1.421556687250177,1.3531396035906857,1.1727566344677474,1.1552932831794358,1.075671180012356,1.181849386036841,1.2496057948275605,1.354129652897049,1.281271839810948,1.298350415972025,1.3521015644363144,1.3930862174874488,1.3798907514746641,1.4125913925432778,1.2628492736406143,1.2875940073366845,1.2928437349765383,1.4767811848155221,1.6862074929760134,1.9041536567132826,1.8816639415532952,1.7476748094021601,1.8161615225256829,1.7160963686007638,1.6159197661662987,1.5346149482890912,1.414274061061902,1.3013143935546871,1.2144759253603508,1.2063001591275784,1.2421158299652444,1.3977188156522529,1.4353927510269346,1.3256823856416482,1.3499307246254069,1.3328168559066242,1.4767056350716619,1.4050507254580373,1.5285167305195024,1.6331095483726206,1.6615868749621312,1.7496020650629742,1.6977270296313065,1.755474618144848,1.6231580476036245,1.75109123336854,1.4481792266707716,1.4149362714411808,1.4350928759577466,1.5235521495546276,1.6031652878021305,1.6181313025329345,1.6129509553140013,1.5611294195636212,1.5844285677536085,1.5705718219210218,1.6473631232968993,1.6377418689541388,1.7424691657893023,1.527086640680378,1.5680132767028039,1.588028502371209,1.6293068037557648,1.7073143417772625,1.9768437106958827,1.9465656184623825,1.98114157100198,1.9330663913788204,2.1912564027290724,1.9026091092690391,1.7574186767601836,1.6099452059719703,1.4333873737659666,1.4074786734134104,1.3859620583723076,1.2984312512592568,1.15136822949879,1.25863967900882,1.1302861559418451,1.0790840411062759,1.0623781189562123,1.0263402532492427,1.0209408163730354,0.9991454625109093,1.044080591505688,1.1099613713914855,1.0321984027091595,1.044390549109135,1.207073493437364,1.2279624151540847,1.1417477082350496,1.2819332331229227,1.522030906036089,1.5367520158136592,1.532795424706802,1.5438977087295915,1.3286565098573149,1.3685706015099293,1.4548236467619646,1.7112893162215,1.6976469400800305,1.2433018409798942,1.158041463508243,1.1623951976992923,1.168135406274911,1.2389020185468573,1.196507549237341,1.1768485596979648,1.1993320116589958,1.3295637476607998,1.1941847228530487,1.2280088095592725,1.5678932172201554,1.6519409391275703,1.4257809352435962,1.6172169070857942,1.1653520614363058,1.346602931705162,1.2104724449184787,1.1351153758228851,1.1877510313267086,1.1922285368583425,1.3609348849726723,1.19945777236862,1.1210304453675408,1.16143497453959,1.1862341477954526,1.0133611448084874,1.0175959990256493,1.0634082468687363,1.0192321858408788,1.0379434874877025,1.0678466891562128,1.2019060808131448,1.1399767894648587,1.1587173363955898,1.1267508663799173,1.0735660269324832,1.0206356086029895,1.0855830809858886,1.1440015895856046,1.0891151277431077,1.0911715910835862,1.18232386831022,1.1871390775773905,1.1198109287731695,1.2656690010570695,1.4687027977020037,1.2664005236337685,1.2835758671101243,1.4277100424515496,1.5985029368574823,1.495792206438902,1.4204247748310666,2.0414440127242215,1.900638316359007,1.7870658599514144,1.6484658801240175,1.3223141885982277,1.2543617601510322,1.5875714307017414,1.2904136449929768,1.373990124116446,0.9880553401212829,1.0331472576550114,1.0385274748084579,1.1101788814822113,1.101357966149797,0.9976961170802082,1.1030829591059088,1.0275303492166894,1.4150769414446862,1.1605533131641526,1.0037127623727389,0.987870193422992,1.0533927038308595,0.8935952099366468,1.0646499338864979,0.9768659407747251,2.037072312846454,2.456335241837718,2.9046136241136074],[0.8807765193695578,1.0261601876446196,1.2196637879498695,0.9247622978283326,1.1576781374401013,1.0994705125678617,1.1732382493430535,1.2353061204922913,1.2200941935358307,1.3042047090478506,1.340977308398367,1.383071036281617,1.4782594486912788,1.4308554100477893,1.6017575062807068,1.6219601564381234,1.6623289592811856,1.7236147679100577,1.8027573618363244,1.8516900654951431,1.8994271502050109,1.9028219883357842,2.117193561665954,2.1400573491181953,2.3251069537719133,1.9773988674955647,1.8338939833542018,1.7839558316367548,1.752199981935108,1.6951261496695116,1.7126917937383856,1.664166538791808,1.6973114888760938,1.7377576207585579,1.7416868366422784,1.770936204081152,1.77609248052332,1.8849981356435503,1.824833407876578,1.9279373931548751,1.8823386648546852,1.865782779709804,1.8606747867316369,1.912383929597191,2.2533696735224287,2.4080424399221836,2.8154667115584053,2.087967723553865,2.0324187959740048,2.2685056894992432,2.1173019581106405,2.444531185506113,2.1517237920272856,2.289254175418969,2.1382019532683105,1.9766972108614533,1.8866350624742017,1.997313898597879,1.8863822564964425,2.156230734054947,1.9937454239307404,1.9511248137857475,1.9054884347484056,1.973140016344389,1.9456607382723548,1.879474451031707,1.9395301791511654,1.8079971860801416,1.7697942625767689,1.76690023967624,1.8061927124843755,2.039235261124347,1.8019216341120259,1.823490646988211,1.8166187386989616,1.9357187891840548,1.8242107313556464,1.8022988262247073,1.839089221477273,1.882311126149033,1.8659194092578537,1.9205468269118724,1.8899471418607026,1.8266970556039588,1.7460711935006106,1.7487553526284625,1.8476951286783625,1.8034336400851878,1.8178214308804024,1.7841110926197965,1.7767644062508312,1.870836853423663,1.8071726105243655,1.7541158892201953,1.6823528088789252,1.7224045136454256,1.6241532211091356,1.5784876019238756,1.4970225204772818,1.4618073282057589,1.5516320236643473,1.5350953683936774,1.6024732028130633,1.5475399609104648,1.781370287061834,1.515549814404838,1.5016035736144506,1.4497554023045085,1.3670955439943513,1.4489017985842851,1.2948122338184551,1.3788301655061508,1.309472377819961,1.3741090513963072,1.4766563930020815,1.5251164702507933,1.6567490425930294,1.711418319487882,1.8468201858444784,1.6550793780701503,1.568294581154016,1.4888610322579248,1.41336259938097,1.3920512827378844,1.2503362881101523,1.2593458051325708,1.221071629971825,1.3212202581248091,1.395567042161833,1.4789947001583739,1.4068371743109558,1.4247255786409645,1.4476705346955,1.4838063624685551,1.4721117082571822,1.5018445753236525,1.3720337267764284,1.3795936594550586,1.3638815581256578,1.5250882307516935,1.6864458903479267,1.8372060524595117,1.8156848333378142,1.7357864861590875,1.789508122288008,1.704370400912841,1.6283729584551816,1.575569146701981,1.4958912602908854,1.3917955519029361,1.3394603422987093,1.3262172437303597,1.368221499877492,1.4847311742714475,1.5111749343555545,1.415110706475263,1.4251756749273934,1.433782430543524,1.5364911983656877,1.4954344234020545,1.5951598386129384,1.6486022605663802,1.6777134528179571,1.7398343148566178,1.6988782563098899,1.7580627933529571,1.6343694636448791,1.7232881914505482,1.4704099033952946,1.4465679890236065,1.4898471204650883,1.5797935217824552,1.6423762343577033,1.6543963174075058,1.6422437380793335,1.6087882701347622,1.6171492524459548,1.6020195629511074,1.6558860573065928,1.6652646358253331,1.7615590357481783,1.5994872784126035,1.6138539889170396,1.613313394470689,1.6508445212912346,1.6775828689262076,1.9262006681374921,1.8784602811984585,1.9102937716559065,1.8777441912281776,2.154088243634423,1.8975492573397819,1.7631359180148007,1.6504267625603208,1.497895405936318,1.4549102928747082,1.464972174733475,1.4078801089208488,1.297249108334058,1.3791566982211676,1.2941129580786819,1.2593678946550555,1.239575098590311,1.218526868131821,1.2131659316103114,1.2030909704435702,1.2466760682293885,1.2962711397738746,1.2273491413022044,1.2385037019043221,1.3726916284909623,1.3673131257102715,1.2986636002986625,1.4291081023416978,1.6219943705696,1.6619452292829948,1.6071700868446097,1.6293785539608951,1.4506213750499029,1.4682721232407896,1.5396841767369616,1.8276297908757115,1.8112235073746537,1.3726894011591855,1.2984849117157862,1.3184650131315354,1.3356838529986919,1.3718943267384542,1.3212957989035314,1.3353114707387266,1.3299036796086552,1.4185448562164438,1.2997740418239523,1.3493261188321568,1.637073389426944,1.699141533700279,1.5152825713906333,1.6829099600071893,1.3111629052181029,1.461213703252076,1.352724097187151,1.3059722662289839,1.352310548141231,1.375520451366665,1.5208905507305275,1.3705319718774487,1.3123725750139277,1.356008570257202,1.3668122177343045,1.2104805442865134,1.2149468600607147,1.2479913100717828,1.2040545076372873,1.2139610865632406,1.2356601206526507,1.3429235239943744,1.3002077146022555,1.311926707150715,1.2870376462825313,1.2424898095003951,1.208298256131977,1.2499743250782207,1.2917522370750196,1.2663883691603144,1.25491146976971,1.3233376231084917,1.328986597023589,1.283249955189874,1.3883258502717295,1.5445466497232843,1.3885577164433913,1.3974024795690216,1.511554144193702,1.6528840041363575,1.5908059027529287,1.5551161516400618,2.1044600763531482,2.012853961030593,1.839570594599529,1.7845299785455364,1.4872843221162793,1.4490990826111934,1.7959604399114024,1.5065773364553146,1.5551989339485648,1.213513900348936,1.2215348838184985,1.2371797543799472,1.2675090921246768,1.2725942682031446,1.183903373710421,1.2591056637690075,1.208045554303507,1.532394459210065,1.2968418789209057,1.2103539733092794,1.1789984493606203,1.205713439005413,1.088883827183238,1.2366897683013804,1.183070533989303,2.2686938432705546,2.7672141155410936,3.0777631718716996],[0.6914227696093417,0.8590194582327584,1.092081930497592,0.739090917067555,0.94200778492444,0.8622383603699773,0.9265699361469512,0.9948971290177244,0.9802806291257432,1.080096472930641,1.1203012554390457,1.1521487358079086,1.2560729537814845,1.2263850895700372,1.412780012100214,1.4248086165008016,1.4874003064039625,1.5743208524870025,1.6967531059546228,1.741466957740874,1.829925333300719,1.8454030690993701,2.1030666648736656,2.1445090663784447,2.269340565018713,1.8923339956868612,1.710725345536534,1.6342584140080672,1.5933163513016713,1.512391948973222,1.5518790238174414,1.4766965424970717,1.5169713256986828,1.5861676610231008,1.5877268647122724,1.627088100625433,1.6103601624001698,1.757931256635954,1.6981209145651641,1.8363975727449382,1.7858206736572946,1.775805233789522,1.793282729068934,1.8498785559601925,2.2354179035323574,2.3837741440898,2.8301956177523433,2.056539454136118,1.967228683987149,2.2107164760626907,2.1179250017956535,2.3191390147597106,2.0740977311121784,2.147954054564055,2.052181427361864,1.9369933924898073,1.851296931975664,1.902626841013508,1.836217691595112,2.1248524357034473,1.972845240311152,1.9022766444446353,1.829284889484582,1.940611815956277,1.9140655050695867,1.8081868920277833,1.8651062031169006,1.7073188369591166,1.685670632052551,1.6405486736821855,1.6999758844860637,1.958018596649523,1.6983820660877704,1.7572146575274072,1.7081178657213278,1.845921582729713,1.7375823453504904,1.7058155852544552,1.7344279007446732,1.77475024594593,1.7353280252191547,1.795578974284302,1.7471258630614779,1.707856109538909,1.5986093889992716,1.6097782010526218,1.7239221864908882,1.6536084691460384,1.690946608385385,1.6545643185028036,1.6506420910664594,1.7523494034204927,1.6710368432711578,1.5788193696451096,1.4978119564788357,1.527459485354281,1.4542327986045875,1.3760454069232773,1.2701204320530164,1.2124016943975529,1.326811396490381,1.2963402982586054,1.39848290917779,1.3372386471090294,1.6396979082194196,1.3220642277558068,1.3026679817350655,1.263196976020455,1.1966471790903657,1.2449228774309264,1.098927492887095,1.1691200349967874,1.0794642395503518,1.1576255596889755,1.2611412253197463,1.323315875945086,1.4828658648694757,1.55247229648625,1.722130188325213,1.502345997197835,1.4070515100837022,1.3081353222632646,1.2300127972953359,1.1909653232405535,1.0314978952330751,1.0499654928838358,1.0267925677881704,1.1153311022604901,1.2213793736047924,1.311049735832642,1.283957564233712,1.2970334933092282,1.339520349838955,1.349349797450806,1.3511938199352171,1.3616587357961756,1.2710070313835218,1.2275352463747364,1.1965516732569597,1.3690256616708474,1.5593720054389109,1.7523157133539662,1.6776355038883284,1.5785045257701296,1.6433842100172908,1.5362671219764887,1.4449046156461534,1.3735323325316542,1.281583748669469,1.161298950771643,1.119418807443987,1.0809615815731028,1.1497085134532201,1.2204815052072167,1.2178508979070857,1.1734344457106476,1.1861118390956682,1.2072241055671447,1.3155027393674077,1.289095497752415,1.3934334934732364,1.4807613420576828,1.531515818657068,1.610204258622058,1.6224122082842796,1.7152217329626798,1.5807656032404804,1.7576016315581084,1.4288171579504072,1.4013988966022282,1.3953730687181063,1.4510584921426677,1.4968135961029696,1.5025499264076982,1.4778323762627932,1.4359691628265385,1.4279708722592916,1.4191891205964848,1.4833838393580432,1.512078758360192,1.6361805153622568,1.441957458239378,1.4952774580733144,1.5096264377888726,1.549336844567168,1.5933065729902685,1.8454450072907895,1.8684297433459496,1.8743787839059989,1.845604784079865,2.1242228078100682,1.8125012332569121,1.728045844341089,1.5866742425138116,1.4244540837114743,1.4309887478134162,1.429031453015967,1.3412768756454243,1.2085301469616554,1.2824495919637577,1.2035360974707818,1.1251684797382042,1.0970028411556163,1.1209209402670153,1.120682920501026,1.0687026883984505,1.1498571788703262,1.2457821199054746,1.1397442291441922,1.1426185234268007,1.33405098163143,1.3543215164453688,1.2341384300303184,1.390260498958775,1.620282276907366,1.6901917469991994,1.6487631601409038,1.70934802856549,1.484393617215488,1.5188861293735638,1.607242051439388,1.808554353961849,1.8608584936561807,1.3315846793519042,1.2982144592718916,1.289124982950209,1.2652704092858251,1.3432362768798785,1.314165842653596,1.2973538948901115,1.2962936090239108,1.4269140724144782,1.299332080109811,1.3235817684126463,1.6214333154517244,1.739709635860772,1.5182226762106221,1.6487759766196013,1.2443414544840115,1.390820319107325,1.2624879049305964,1.2031262695602032,1.226872960898683,1.228947354208877,1.3531412027052787,1.225537380495089,1.1909553207626773,1.1868415991293513,1.197828001728768,1.07393770670851,1.072348290289665,1.0936411271103552,1.075176950809152,1.120224061839745,1.119288391129048,1.248356418230768,1.2359518107159755,1.2701860401366416,1.2542089526696134,1.1970377819825322,1.1354174908652748,1.2066733890761054,1.291314836458944,1.2301575580416981,1.2191463860658798,1.334332407190314,1.3395135058447734,1.2617323926058628,1.4084566164515209,1.6064784255911009,1.4194047056076258,1.4129084533977567,1.5629253745323393,1.7163181430243275,1.6393380934939095,1.5885998069970197,2.2043762400309634,2.0984981856103695,1.951600262726375,1.828524424622754,1.4847772383103146,1.3864486395272593,1.7564731999648566,1.4718965350281774,1.5682903610172214,1.1353520132912118,1.1523233309481515,1.1093090738381584,1.1494409535896146,1.0977777350561848,1.0208627610427081,1.0875807836896576,1.0239187566917105,1.331307983163089,1.1412637845005655,1.0634406480166847,0.9788764050434579,0.9812128589049843,0.8944293440276369,1.120069446911052,0.9635363459285939,1.8957144295459443,2.293346860673571,2.787410522544835],[0.6315109390077593,0.8104441717097595,1.0471483114692208,0.6874402283562372,0.880177106733914,0.7918764561732904,0.8676511488787243,0.9380438880923158,0.9422180451612988,1.0705254982730357,1.1257333063988368,1.1460141596237943,1.2670148962016556,1.2501641213957544,1.4557367280428142,1.4654058522477593,1.536022570840292,1.6583431438651488,1.820005392077377,1.872055136345191,2.0011756478088927,2.0227113972707995,2.306386855892145,2.3589127145461113,2.4409968825543427,2.047967266673646,1.8349375383381006,1.7185378953838908,1.668474368837074,1.5639601580187876,1.6269651023100062,1.5248702621359507,1.5712593048114922,1.6700501418812004,1.6682857345382676,1.7176352157610455,1.6791361424077371,1.8575635754287967,1.801559368481038,1.9701390737754296,1.9243001125160144,1.9287306450288528,1.966014723378769,2.037488228148264,2.3862085758678595,2.4852561008743845,2.9580087939388244,2.2490746036499587,2.141339659241198,2.3696871210534978,2.3083306292380588,2.4372919316483985,2.249204170493043,2.3037903552821275,2.196658340613526,2.1244671639155923,2.040765273157831,2.067668918440688,2.026225947539958,2.3117558739127073,2.156179092918485,2.0965440968687057,2.0071183608382483,2.154673623563444,2.113988110353742,1.9755040834866018,2.0389323478693413,1.8400269952704056,1.8113426827661487,1.746965466107968,1.8134109508158476,2.093035237852375,1.8323325664792076,1.903093366328267,1.837919398361007,1.987936273652842,1.8841802304277004,1.8476185803371508,1.8759260328136675,1.9315170776961659,1.859723969188817,1.9172124537813289,1.8262103771311253,1.8137072712910505,1.7030398353747953,1.6985704284265561,1.839297318754503,1.7493303680318186,1.8106557687471356,1.7631350010457618,1.7624119254739743,1.8729465267487262,1.771330174147817,1.659801578348042,1.5592288958804001,1.5939749631273463,1.498194959497456,1.4091117038420449,1.281406267363182,1.198204741239193,1.3417632732867582,1.285260539821886,1.4192246316884027,1.3322367785316571,1.6596408035052128,1.315110181977573,1.2896577676714454,1.2574699721434766,1.1729085076786994,1.2107296877319644,1.05233027180581,1.1398900784267427,1.0405453475079824,1.1377565842651103,1.2643083675101268,1.3384821280414692,1.5289370090555716,1.616404971158518,1.834172902153494,1.585419942961732,1.474343946090752,1.3475657048743557,1.2581234547288485,1.196326695241158,1.0088336607932882,1.0202793819311489,0.9822350279046936,1.0810961275691384,1.1945656655111023,1.3078706382607124,1.2858703742175621,1.3128648366752136,1.3808827820741534,1.3813824463467048,1.382243114520101,1.3665731846836615,1.261059594458927,1.217550872951751,1.1866458252926775,1.3826374342068863,1.607422085249547,1.858881984555113,1.7797924627764385,1.6412121911685549,1.7267738738204792,1.595523841704589,1.4799312343271152,1.388913149562004,1.2777335571634414,1.1381256883946778,1.0794385156352106,1.0359356282790604,1.1086147660692227,1.2021439429589322,1.2007535889606473,1.1451643024079583,1.1697721947313717,1.1839513735209568,1.319740172655251,1.2854231319197977,1.4102270328384778,1.5297092298583495,1.5828670772215037,1.6916804826893914,1.7034452487767473,1.777213418079768,1.6559872720022781,1.843509751380592,1.4920543832757045,1.451865853452741,1.4392963837564918,1.485585205608288,1.5508444178315892,1.5581409708570546,1.532475189922131,1.4761104221604677,1.4669885363178727,1.4682509915309485,1.5528821589830901,1.5753604544572555,1.7016809571008704,1.4763071069288431,1.5620404411368194,1.5969464564560416,1.6333137592228324,1.7235836063029515,1.9774676213546196,2.043053563892817,2.0369768733305094,2.0124613176707324,2.2576025366467607,1.9243298810207583,1.8172767462743862,1.6488111329765194,1.4857963797479201,1.500309881627103,1.483346907468922,1.3729013194247095,1.219136350604738,1.2649528397188372,1.1999863391567416,1.097280903142593,1.064041457326017,1.1071260326146337,1.111115164818667,1.0347362726043576,1.1219493042129707,1.2451052441160086,1.1278561235889197,1.1194198797390726,1.3356283042199086,1.3768213098530773,1.2298688790598087,1.391382486938638,1.6576857744303053,1.7154362258364095,1.7077418173894527,1.7775505843930384,1.5319005479898686,1.574808566239616,1.6961957757622124,1.835466332933142,1.9340143399420417,1.3820043095612815,1.3624855001715874,1.3328040062391369,1.2938774421374808,1.3974582893420067,1.3818278292292383,1.3391807490589518,1.3445698291080315,1.5129964305083194,1.382482825149332,1.3829532051532525,1.6771908538615572,1.8283181472510084,1.592656882402088,1.68300639234689,1.2741880156955012,1.4143878454834036,1.2858799420376466,1.2105729471526352,1.2210650942100507,1.2154326364656474,1.319209777642893,1.1987971065347856,1.170026642575486,1.1413453339919253,1.1495162909218797,1.0459881205263726,1.0357467365486706,1.0461557892923956,1.0467613385024077,1.1122356702455731,1.1030720170248234,1.2386876842891932,1.2464402938510857,1.2922375072560233,1.273753677038663,1.2168066819180239,1.1440627135543642,1.234473072921501,1.3368747852465817,1.2518179152445263,1.2495353869788621,1.390977455589426,1.3879823275099472,1.2969016676691052,1.4828826130094006,1.692848193196248,1.475989538687499,1.4775970969477648,1.6633351680967063,1.8299493604680241,1.722486542593025,1.6352882593791433,2.2934899538010804,2.1291783224031016,2.0297486635033613,1.8437620763790017,1.494156601858134,1.3628373120751138,1.7076121596102443,1.4408338204462765,1.563515367040004,1.1271607229241627,1.152718736378125,1.0776303631777309,1.1277044451185565,1.0549722546865248,0.9693500756736887,1.0424306089151985,0.9739394516134738,1.2684126234066142,1.0896162090397723,1.0145872141185626,0.9139571834002626,0.9074095542931194,0.8304099441938296,1.0918514671938195,0.8931555133057906,1.7385953532327116,2.1272334647329414,2.763467484267245],[0.669264092042889,0.8348554667284844,1.0621744589970676,0.6960672745883719,0.8204953323380294,0.7220585460230655,0.7213937732431701,0.7732609307433378,0.7767249079613423,0.8839962873858869,0.927408181090597,0.9437156404499025,1.0521996894407393,1.0491464736775493,1.2337117822422452,1.2350760048108327,1.304264645229596,1.4159091362442242,1.5754688887748802,1.620135389939533,1.748232753917031,1.7903772150186914,2.0761932184494905,2.1365571634918563,2.21307785375186,1.8065763634073142,1.5944120087617217,1.4806710710414916,1.4259192374957628,1.3251316043951988,1.3820408690749224,1.2823232695576574,1.3234762369191106,1.4087492319973423,1.4088467338627846,1.4616843852942956,1.428932577794215,1.604788276011621,1.5621649050904745,1.721123103282197,1.682614928487002,1.6845496062593428,1.7186798908726588,1.7882701661699356,2.214377136206788,2.3772981814143024,2.843887848306899,2.0375817995230965,1.9270222928759966,2.1960200074894445,2.1240707893319755,2.242326879622425,2.021257987533232,2.0360909407813472,1.9771884736098821,1.901864351931763,1.8025196358763573,1.810232196354406,1.770276020125018,2.0837159101439617,1.920672906327369,1.8370986887450502,1.7427984504282257,1.8925278632325784,1.864416233179864,1.72361843954469,1.782146983609866,1.584666385329543,1.5716606638889845,1.5068967966217275,1.5833238504360765,1.860884408358069,1.5802240020285994,1.6565492261635704,1.5844117884772015,1.7520742876282596,1.6187586167214632,1.5744389412973316,1.5994761318016666,1.661577815259905,1.5893721373125984,1.664331311647414,1.600368454839583,1.5730750727080938,1.4540851987650634,1.4506558232581832,1.5874462023111766,1.4912192312159276,1.5479679452395165,1.500022050547033,1.5003718987721175,1.627290162680718,1.5212111511475361,1.404086171572665,1.321264034004458,1.3536523513572245,1.2880703116919565,1.1730471270309453,1.0539425135052793,0.9821799294373681,1.100242006835959,1.0752107397828214,1.188930254531223,1.1257562646163877,1.4765411670972732,1.1348112994649497,1.1162708585827503,1.1092481251663915,1.031507756938567,1.0458887551631721,0.9118700011290916,0.962472692647518,0.8614359669925337,0.9544929514209813,1.0733726267949109,1.152581363456478,1.324412140772214,1.4138708168678293,1.613317951526025,1.3589590189295162,1.272710252458407,1.1555101725678714,1.0989604062145701,1.0276308783088486,0.8457074662438276,0.860862866261404,0.8906109201373988,0.9239664035325555,1.0404086071336522,1.1350189624559335,1.158698642978352,1.186083123506619,1.2333677555662679,1.2064485511935514,1.2151601057280987,1.2136909148594888,1.1369151398829473,1.080577363782097,1.0392875833701911,1.2119786414304266,1.435516498143723,1.6537910055650245,1.550835733497005,1.4282399859263328,1.4975217555420421,1.3639899017406394,1.26604987169322,1.18187120610689,1.069166977029136,0.9364949142493186,0.8917869685191766,0.8450497374803269,0.9353318895024506,1.098654110667078,1.0384917747791154,0.9395365951749753,0.9559438002171161,0.9693801942328033,1.0985526937283563,1.0846670490600447,1.201993750921479,1.3020536785739953,1.3748457094422482,1.4624631322100135,1.5314671416648062,1.6450383193816909,1.5088271235187516,1.7765437892906006,1.4045072501798428,1.3519125565345984,1.2865836108533248,1.306370897143315,1.3444062343915395,1.3355099181084988,1.298174987252681,1.2448944504825934,1.2360765119285209,1.2240353621953162,1.3077518740982828,1.338448627979446,1.4939753963769904,1.2671812135465392,1.3546745088693728,1.4014778826871392,1.4416990513241652,1.502577975063681,1.7375696135805125,1.8424087604486732,1.8399744223074581,1.8169241975574135,2.0864561106926516,1.7273080719116842,1.6981681538797568,1.5444288147888443,1.390140501746506,1.45063167734064,1.4084145711416758,1.2964893923084713,1.1539856913445394,1.1791573261518171,1.123405812314365,1.0169191013610286,0.9821563813134696,1.061383751839775,1.0796855241461814,0.9984112968146746,1.105604850403094,1.2486481201962896,1.1341942870019561,1.1381118791358817,1.373269929050648,1.4341527107299592,1.278006929401863,1.444347717854732,1.7266044974473655,1.765690296272288,1.7722248600058608,1.819263375232928,1.5664319567503686,1.616490640561122,1.7319805120176588,1.8556370683165542,1.9349381869867006,1.3663543502802864,1.3406090162360857,1.2846706851035934,1.2419264817227995,1.3457691579346651,1.3361364802367606,1.2912667169114456,1.2841676670371054,1.45751848143718,1.3471368966803463,1.3203084911491356,1.5818437328597412,1.758549710425059,1.5373242901389348,1.5962500047045525,1.2207271846311492,1.3327901885553717,1.217479549157409,1.15015941283417,1.1524697052434316,1.142412853211884,1.2157102739882277,1.1154025860996561,1.1177428060888484,1.0528231579430973,1.052823445184124,1.0016047003964503,1.0023472855682736,1.0080873065105675,1.0367939162346131,1.1234653885328645,1.1272642329430915,1.2734597128973932,1.2929332930744073,1.3414595450099944,1.311493530407201,1.2339075845947158,1.1330979018041787,1.223834802375119,1.3606151614732762,1.2625282074245272,1.232049787124058,1.3896735157670708,1.3969717630665248,1.2749709417741546,1.4588499982000511,1.695942598296157,1.46894945287432,1.447018723531178,1.6343712120907523,1.8222228454187965,1.707436716764005,1.6297116363655593,2.270645856457899,2.1182534699497815,2.060233185916168,1.8747499840535278,1.5169483004233912,1.3871433750860547,1.7149891637021908,1.4307626885082134,1.5469706079455443,1.0858058775404233,1.1077885505497023,1.013075708452584,1.0478747736231675,0.9510175999639696,0.8928005292308135,0.9379222684754125,0.8960975446096202,1.1226516386187881,0.9981294405080586,0.9955054646862348,0.8677221168619733,0.7688156795794594,0.8135556273765437,1.1384714895082517,0.8979640208592059,1.5309909174829122,1.8892035778444203,2.7368735071524752],[0.6512586466747092,0.795962952549664,0.9789985114423715,0.6543533613470748,0.7453240238440881,0.6455211573445239,0.6653136216502974,0.6974152847258099,0.7435191668798113,0.8637500541091855,0.9144955367686406,0.9127082679598946,1.0253955076775267,1.0405224294841242,1.208578971478819,1.205442054891091,1.286962972555231,1.399940550986986,1.5718809113932368,1.604004716459291,1.7470731451599246,1.7879349320678541,2.076850041280621,2.1443474733327124,2.218769748764243,1.815524533682726,1.579007278931064,1.4605889110015209,1.3938552817977365,1.2798394708930603,1.3546829062448995,1.2321384326570968,1.2771057421756007,1.371804816585603,1.3645694492634162,1.4265817991190284,1.3705998100664416,1.5578514575020461,1.5162958588620754,1.6700369167679876,1.651328937457515,1.6616450682945767,1.6973841369618787,1.7783413949312832,2.2238845754772143,2.3841041049978795,2.855694185010053,2.0364802239013193,1.9124554614635405,2.1920545337955213,2.101734614312652,2.2285600110389256,2.0015785899443714,2.0177558245958513,1.9461133153578092,1.8799984440717028,1.7826595632442703,1.7843212262180992,1.748753841735083,2.0989372172369802,1.9131956121475884,1.8320025207691262,1.7375493112359561,1.8955339280702783,1.8645319148594295,1.7096063914143873,1.7946492093813138,1.574837772167325,1.5782820263025286,1.511037530390933,1.5992285046070895,1.8877557031913388,1.602576919036238,1.6711280226153555,1.5753582898631888,1.7385743543453929,1.6066616599986003,1.5564335565859735,1.5738626086857364,1.6339217539090598,1.5396013699111608,1.6164800827452381,1.5444701332376647,1.4922659144922708,1.3963473941164446,1.3882235287357498,1.5412013888522749,1.4344289596238537,1.5194796136186983,1.462650373065886,1.481895017312519,1.6251679536935937,1.508368066191192,1.380799054686556,1.2959947946381598,1.3421023064749202,1.2633593643024148,1.13579654114847,1.011637272378202,0.930447853759719,1.0353335630278768,0.9928123275157575,1.1079853574164544,1.0238234680635891,1.3656248469216605,1.024920811769022,1.0016888998022762,0.9853212611384803,0.8982686409296922,0.9372752454977035,0.7978423595220044,0.8677187292887252,0.7872718585982043,0.8984712778725096,1.0496851578143043,1.1419051407790164,1.3174608834143386,1.4188646710664952,1.6413967470716244,1.3575561509028733,1.2842644396631144,1.1624810382093742,1.1198431306978616,1.024223483408334,0.8242802192560061,0.8185595812716983,0.8006344688502006,0.8341703882230882,0.9343631465602674,1.0288149783607068,1.0617156297651629,1.091420314692697,1.1436956275883299,1.1089815335006539,1.124421655390532,1.1421609244842668,1.0558178608769675,1.0339133936352671,1.0250826284058774,1.1828502094567859,1.4222775556963814,1.6386507142063669,1.541445468935582,1.404663351082706,1.4649571015084066,1.3272418457264041,1.2296977598943775,1.1299520539682348,0.9992025289216624,0.8713138758094147,0.8003453920111593,0.7675945956415304,0.8456221809088734,1.1203302603944343,1.030865334206173,0.861381249718701,0.8869890205248522,0.8800730947686302,1.0278085915738477,0.9872594038346479,1.126364025194324,1.244673267732803,1.3282826474454985,1.4079593035683935,1.486013584893555,1.610071884148495,1.4634396299188699,1.7611792302470781,1.3913616271174154,1.3208276896409308,1.2258196692448746,1.2364831555799576,1.2740518394823412,1.2597912137552545,1.2229277661969131,1.1567946986436384,1.1610712989648542,1.1444352192723617,1.2383454008858048,1.2515272325033113,1.4431485626193685,1.1688555488555863,1.25997003416949,1.3239760121274955,1.3655658954797638,1.4403820260497047,1.6864753461683946,1.7985011068049424,1.8173228550635951,1.780486050412806,2.0617829285007123,1.675389030544734,1.6637355339022997,1.508856247967315,1.346146455468092,1.418963124905925,1.3287357269491658,1.2074904138298848,1.050429849584672,1.0919108436064198,1.0055064203258834,0.8936760887674476,0.8651311005091004,0.9416203641614141,0.9675926571769935,0.8911566620342939,0.9960206054016085,1.149974405844111,1.0479997034220676,1.0625025964611778,1.301876567387914,1.3912931661445211,1.246584854700542,1.401419036209368,1.7199554056549955,1.7045149317128137,1.7626929226771864,1.7606945695223755,1.4953375530985624,1.5728655471295057,1.685526376046423,1.8131256791620312,1.853383782053796,1.320439955847553,1.2501004503027144,1.1722811295542277,1.1169008972048673,1.2340041755759823,1.2344195991675593,1.1700813739975466,1.171894336262513,1.3683094370079618,1.2666697562553322,1.2179692361097105,1.4935785778907078,1.683220902964445,1.4470294886698583,1.5270404006226928,1.114159823115305,1.2231542832206048,1.1000675084381424,1.0245013000406513,1.0287408363291322,1.0278272299843583,1.0885053565525944,0.9901937997651565,0.9806407102768108,0.918732587004306,0.9256281464807097,0.8879706974416194,0.9111310254198092,0.9379009120786276,0.9688597767692636,1.060222709280561,1.0936240313559467,1.2592072854361795,1.2624848228833565,1.3147742219475185,1.2626345756834507,1.1645576901612251,1.0281713474627063,1.1375381740037602,1.2929962263193233,1.1729185503937114,1.1341071019485005,1.3045352726346178,1.3136161799894654,1.1667463528620925,1.3701043726639281,1.633407402637356,1.370222011117849,1.3503238674098712,1.5495602923028797,1.7592997954876362,1.6149809538346427,1.5151224723617642,2.1798144217466584,1.9696352838035784,1.9909836581140703,1.7568973138842183,1.4127297422430667,1.2891043789146617,1.5589758645691283,1.2772129605999685,1.3698730742510281,0.9531250898295928,0.9898065795045811,0.8987137407194185,0.9480762019107086,0.8423852486496916,0.783394655493699,0.8452010199899639,0.7915773414453486,1.0525358511047351,0.9372329719243573,0.8849984020388322,0.7873155917523111,0.7508197572733116,0.7392717680011985,1.0624338121024735,0.8771026369108056,1.4101044011608659,1.7842277516222491,2.8149942535815637],[0.6841635713176102,0.8174527943914287,0.9603526451873435,0.6825830617051604,0.738822165621487,0.6317366839628299,0.6272620320341947,0.6380424762162856,0.6941427443868704,0.788521692630241,0.8288182872423925,0.8218923393401419,0.9243193364204192,0.9397369073369293,1.0733796583376944,1.0632343195570069,1.144326961298337,1.2383135007307284,1.395886246581666,1.408198728980957,1.5374562934959568,1.5807769669754108,1.860143755534147,1.9222458619630995,2.03658511301995,1.6313787316822705,1.3943291851427226,1.2945804973441934,1.2252146736942446,1.1210697439662334,1.187032827774604,1.0737493952243309,1.1087752964632314,1.1882096051071143,1.180398984818778,1.2434050335191302,1.1877440778808372,1.3578228087096256,1.326235719142302,1.4546223695598497,1.4503678576131513,1.4554276380933084,1.483022962842087,1.5860838419043646,2.083043326808642,2.320960832156893,2.760497019445955,1.8741308030895587,1.7767462901756002,2.0737247757730843,1.9335187492019283,2.138265461944477,1.8375483476560914,1.8438433789979511,1.7960321330249978,1.6692631450801243,1.5733716474719455,1.5861289255728435,1.5230830237718878,1.9202876561081383,1.7032507093111922,1.6057772485330166,1.5270080442339082,1.6657452454636246,1.6431827168358648,1.4980713444637965,1.5979792992761028,1.3786118531051894,1.4052651144966313,1.3510331818007724,1.4420678802090754,1.717837546038283,1.4306765850925272,1.4950242113739045,1.3857273453116392,1.559657524393055,1.3961764345621486,1.3454618977393766,1.359164630660473,1.4217593172339529,1.3224599633996852,1.4102953772442477,1.3788117729407046,1.2712126547857234,1.210259054495726,1.1947477000014888,1.3333708777091564,1.2331376997794248,1.3226651463513652,1.2716373774799477,1.2928131165644468,1.4529935754094692,1.3336916849637779,1.2099907665448972,1.142279270577377,1.1948541960021164,1.1389315624539054,0.9982877330851254,0.8889431173967021,0.8396760172247142,0.9013378611805184,0.8939466421000376,0.9648209060398037,0.8966133967922433,1.213274661884171,0.9074009404751493,0.8930465747690954,0.8562610087217025,0.7874824837333461,0.8582184756595109,0.7216547270460764,0.7789510730886195,0.7140001262018085,0.818376166379586,0.9574130593152178,1.0435741923891984,1.18930960999524,1.2918414768412045,1.5003874103490826,1.2128592085181724,1.1652606482223775,1.064374274912663,1.0495508522061945,0.9498892889552089,0.7657748421242395,0.7573767637905743,0.7461675845843139,0.766469417497241,0.8362620222869516,0.9124074460270031,0.9628166743728342,0.9808437494192285,1.0123146158629805,0.9722689904767805,0.9907276919655769,1.0473571431492457,0.9759701651473149,0.9731978291079576,0.9724838942324328,1.0878791792374012,1.3003562200484988,1.4879981174300905,1.3759233901957475,1.2590089895460757,1.298974433542724,1.174632644099514,1.0980229726791921,1.0095996244097205,0.8823536925523582,0.7832723748845115,0.7283588167207137,0.6934629132223233,0.7804557048490931,1.1594161815403334,1.017698778390106,0.7687397532577641,0.7844109359004098,0.7690089438531578,0.9045569354450702,0.8629464100443335,0.9960605586840195,1.091476273954323,1.182838456697825,1.2381221624616328,1.3385946969918514,1.487876011122963,1.349280135783835,1.6936025728670239,1.3647610255098994,1.2673566200290989,1.1266913475081932,1.1081461876768237,1.1269006388094005,1.1031496184225629,1.0615003253448825,1.0022939175308694,1.0133738544795925,0.9918923790940094,1.069758016780479,1.0802324154605656,1.3080074660001895,1.016462317177366,1.10146445573008,1.1765342030082944,1.2144160045297379,1.262346801017504,1.4843159196863744,1.6039092354753457,1.6688996249273755,1.613474955985217,1.9102102571833013,1.517658367459748,1.5452369150757557,1.4147597513801953,1.2479221442366846,1.3281399329083856,1.2327445526825438,1.1094747866552852,0.9589674923353585,1.0211720064080134,0.8966552938727516,0.8077541908250682,0.7894313932966187,0.8436187859446506,0.8726534856187779,0.8296609449773451,0.9233422453864234,1.0558513591561096,0.9880823364902886,1.0213596585423848,1.2389527033870755,1.3400058920892097,1.228843745730037,1.3640844074810796,1.6842401276735006,1.6232620782729454,1.7153632906850933,1.6344351144483749,1.3844088782218396,1.473609563733277,1.5558170334294714,1.7396629221153768,1.698816511837347,1.2336703108349865,1.1056326459294847,1.0238048298392297,0.9809483522039257,1.0712930123407367,1.0876667039691825,1.0105304561932735,1.0383442440129165,1.2219760289090107,1.125447969251691,1.0855873145106185,1.3541732143432186,1.5358349116934764,1.3081701264922145,1.4317596146755829,1.0173762446007268,1.1121406008191053,0.9915620127626774,0.9162417754900735,0.9413677039142713,0.9545440223752624,1.0049558237091225,0.9115094876988046,0.893831293208677,0.8472716365252935,0.8555826655064571,0.8244117139946328,0.8750294391373398,0.927124395358393,0.9450612481778004,1.0277449948933761,1.0945006666413128,1.274464210413832,1.2355098354543617,1.2785527748661292,1.2054183287955313,1.0958167418520792,0.9391267464096312,1.039991184807781,1.1946161840593172,1.0749259440716274,1.0150617288290897,1.171115800559779,1.191128539100404,1.0337977564144878,1.2061390472292934,1.4807825960694214,1.2176636985392557,1.2055882592881353,1.3859017574733754,1.6100987831432354,1.4476169441822149,1.343655385014701,1.9628733524803406,1.7591031477876145,1.8316330217250134,1.6127301151331224,1.296032090270418,1.2158116001503834,1.4319627685517031,1.1351651715104147,1.1879602166382237,0.8479222147814248,0.8857341551221747,0.8299923947875331,0.8747588915700586,0.7750447437228459,0.7355200785023001,0.7924391728245228,0.7478120517813523,1.0358821963916605,0.9128091997355621,0.8417826502439388,0.7831291565417889,0.7708693507163028,0.7512790509275549,1.0443864350737344,0.924754444156604,1.3677737294298555,1.7876955152651999,2.874268962884196],[0.7814653465330808,0.8794713348076189,0.9989923750634356,0.6946175950891254,0.6959605403990093,0.5850259260074134,0.5425751732369735,0.5533511953459209,0.612859639592874,0.7086269979568923,0.7491667056751493,0.7330577235509065,0.8442449125868352,0.8708098025443936,1.005447677514758,0.9946885568858008,1.0843606564735886,1.1997082972884006,1.389494643663104,1.4018643253973537,1.5565934064592428,1.6154786792510663,1.9108874288542648,1.9863833084214475,2.0604009358848,1.640910043792112,1.3855127072417905,1.262317409996501,1.1788935671577507,1.0505180200304725,1.1380122734179956,0.9942409573518504,1.0316883043565563,1.1345446705663116,1.1228972067009293,1.1991630818951402,1.1252415296943115,1.3286871189692622,1.305790045848557,1.454833603908075,1.4567810227164828,1.466143117579563,1.506111618585312,1.6123898467044497,2.1259907888404457,2.345324661182756,2.809312006376833,1.917366010064608,1.7922022648285394,2.107343533895038,1.995503651441659,2.1204442722304178,1.8615264467831232,1.8348150983807496,1.8006099110446616,1.7120605532187987,1.6123356324896025,1.5985568213177588,1.5546444076976669,1.9548957941064615,1.7393978487679491,1.6338926212514717,1.538693993323001,1.7114302379889632,1.6868663813077351,1.5135747316931871,1.6170203013180167,1.3726645130598438,1.408963619895069,1.335704670085424,1.4410312445023477,1.7328379520554589,1.4336171929136656,1.5130111551624674,1.3745747135888917,1.5518713186760815,1.3972822311126978,1.3340058465540878,1.3428706989380899,1.410891508620954,1.2946129037891645,1.3878995526192894,1.337314799387277,1.255920765846008,1.17245657402559,1.1569312241354455,1.3099577033295189,1.1865070194960037,1.2964781303320732,1.237052725629046,1.2679672817116412,1.4346195366682373,1.3035376195177046,1.155401127099466,1.0780108685066865,1.1344829809458017,1.0696409404968417,0.9062235615978702,0.790489714473108,0.7384920509970755,0.7965822473616472,0.7907393968286891,0.8761765696556495,0.793379081882722,1.1823345249306592,0.8268378752088656,0.8460266576121543,0.8108650188719425,0.7332518596413574,0.7921520580243616,0.6477681369513876,0.6912145019484945,0.618696920156985,0.7294225644338982,0.8796906797847882,0.9811038509088587,1.142261648613793,1.2612211953486574,1.4905670108507378,1.1832230148497853,1.1379227894799018,1.0214199603918703,1.004544736992439,0.8793274407445514,0.6824571229221251,0.6669128446045719,0.6838757866332047,0.6853997658325136,0.7714702303905582,0.8432670030304086,0.935055414617283,0.9649814853869482,1.0057787839144576,0.9388204831208194,0.960324338532192,0.991985139658977,0.94781561310338,0.9127218650042483,0.9173209927390357,1.0429301798397288,1.2863530360576207,1.4996142806612058,1.3679835714555368,1.228838688679585,1.2743306246123303,1.127942843489487,1.0404080921655174,0.9296779488208363,0.7887545058354881,0.6893323496046176,0.6345083512991226,0.6039571761264112,0.7173450129103056,1.121299534894318,0.9306658197300532,0.6672952927985469,0.6781479612808999,0.6641114964189851,0.8075608082002892,0.7781951627218368,0.9228519574225704,1.0319149260927183,1.1431466298408426,1.2087577547135553,1.333977075815086,1.4989632734304412,1.3604643398179754,1.7491021074978303,1.390288119360366,1.2817157495982434,1.1103732404301845,1.066114526946048,1.0853590402296136,1.0529352336908389,1.0006837252649472,0.9317538731095025,0.9310743182764503,0.9155005727057361,1.0098874416351866,1.0275113508255889,1.2705488344893086,0.958224889813293,1.0757388640813224,1.175694933008972,1.2055850417179506,1.2654709107851723,1.49158005874196,1.6648746885835564,1.704989282300815,1.6631877978629783,1.9556407163732583,1.5223550580192176,1.5600226558495858,1.4166673865365693,1.2679234330520521,1.38097756438056,1.2652231770314952,1.1502589796696476,1.005291209353476,1.0223833116716672,0.9480099160223208,0.8320735789672788,0.7901968947948791,0.895998592540562,0.9551242638169077,0.8813999178581936,0.9708484604267744,1.1495877653238553,1.0902353730339915,1.0992423521413957,1.3361373896284243,1.4786641109194847,1.346204740706739,1.4577376812044194,1.8129871080269104,1.7371694060280451,1.8723266445294422,1.7887322484629717,1.527376474624437,1.6416289506766883,1.752435333205668,1.8878012911573288,1.8723519157461208,1.3661087783045835,1.27629916636879,1.171431505397538,1.0988575826120728,1.2095987818078915,1.2476699487499885,1.1418538949915618,1.1483149099063577,1.3568791014900188,1.2782445879341653,1.1987876192283307,1.4215793612955443,1.6582570828353715,1.415630201612915,1.4601074941138772,1.0938982566232909,1.1467652735612164,1.0574323116801971,0.993198680283899,0.9851788686293269,1.015734135857561,0.9939155390714076,0.923291541432336,0.9647456862302604,0.8637759794803846,0.8427684496604707,0.8839148365261782,0.9442279272099261,0.9757230868354936,1.015614287503399,1.1430226125866378,1.2014038241651803,1.3587354021784623,1.3696206258320782,1.4402622913816447,1.359834431562166,1.250432349461131,1.0626271109416152,1.1806183934338172,1.3717893134554993,1.213187989196213,1.1392170728941704,1.3348864415120965,1.3492192652315902,1.1542894536824588,1.3654990560572018,1.64839084273212,1.3501542194993439,1.3247793497903781,1.523168284692945,1.7295932321437808,1.5559510883295877,1.434843700807847,2.032329691514684,1.8223161999244992,1.9603950215221635,1.6776353805156876,1.3779428672901963,1.2659533766983802,1.4153765123298523,1.1609121160223224,1.2279678450824723,0.8968178513024706,0.9468363208083427,0.8514096251433362,0.8790635438082542,0.7388099127737364,0.7249608401987022,0.7588028428046844,0.7480163634803596,0.9481654960757159,0.8828998398684289,0.8654778287835315,0.8005938853951426,0.7169999350191457,0.7704562659545469,1.132323070195614,1.097523223912807,1.3441365126988225,1.8909151705108476,3.211830570096002],[0.753665854050105,0.8785052950514366,1.0586516982722816,0.7047317098570107,0.7450932265797517,0.6189290430805321,0.5711610876899522,0.601144704466556,0.6074586970901747,0.7279227598540144,0.767986954650683,0.76899303087052,0.8948816598016828,0.9027015298705962,1.0596599930157193,1.0669776808235985,1.1524938903060564,1.2727276886025913,1.4566263102091768,1.500665589388072,1.6571495837957573,1.7195015007736798,2.0355170685049404,2.1073633332276023,2.157169112210189,1.7231848662444207,1.4907630010323263,1.3526583231139786,1.2766873434295987,1.1551074506893053,1.2118088474772646,1.0967990747007925,1.1292982257652413,1.2324909506161918,1.2356365138417722,1.3036756073163398,1.2583830652400476,1.4598190289560067,1.4398164839688052,1.6110917101433986,1.5921985520750794,1.593619561784209,1.6442183035843148,1.737288511770849,2.2063402757785466,2.395247326394757,2.8604474142991907,2.0182352514130906,1.8946925453381314,2.1866079507671627,2.1296977993627406,2.172511034471593,1.984445425361146,1.9355012359790493,1.9185987815038956,1.8742941431678644,1.76646798691278,1.7264137628351712,1.709991309679339,2.070017587841474,1.870949762402971,1.7522734149667327,1.6460901007060122,1.8169923709570652,1.7967698919713884,1.6272533639263589,1.6897204621821644,1.4576384797305422,1.4626776188500132,1.3734625331355328,1.477887284464859,1.778111842880742,1.464489818253236,1.5685495309796436,1.4417885960673031,1.636196861695906,1.5004750481774136,1.4391961331760619,1.4695487428990712,1.539067705866696,1.4465681750603212,1.5344947096609505,1.465337436001525,1.4581288874437623,1.330869337179436,1.312880411273108,1.4537271623139938,1.3296519978224441,1.4083713030016909,1.3519351994135707,1.3537700892403162,1.5006283879282174,1.3617819340384656,1.2255485670064197,1.1415727456164453,1.1721386035135193,1.1113626336670026,0.9690516225749322,0.8505206103115593,0.787175437720088,0.8979474290916749,0.8870349648623009,1.0007544503365131,0.927658233361693,1.328814531182461,0.9672469227323396,0.9674199784148395,0.968707904669091,0.8764219522494565,0.8937474594632171,0.7600020287795575,0.7965945363303777,0.6882350651482524,0.7930147679595968,0.9344225549789738,1.0310270604884244,1.207197878497939,1.3144934682023577,1.5262813224263359,1.239637223430609,1.16400471197501,1.037927537978806,1.0070901603651343,0.9164188633543503,0.7117369884419451,0.724967670646577,0.7768821310412266,0.7701846843212277,0.8891044669708108,0.9761273805363245,1.0520954554366382,1.089554590902562,1.1510995085042892,1.0970007442280088,1.1068644088887443,1.096045443110446,1.0377897637283457,0.9825816917899443,0.9517672976246688,1.112712023075433,1.3629945271071373,1.5961495896532918,1.4622909946270854,1.3204932141049177,1.3848450589304995,1.229579083639473,1.1305847288197062,1.025596910835855,0.8934616193482348,0.7469462567200522,0.6975498905601496,0.6447056627567359,0.7570095029243982,1.0433360964215248,0.8994649179152414,0.7393184507473012,0.7570752887206057,0.7669770325880134,0.913728115733339,0.9075243755353772,1.0461810879998072,1.1580979329744772,1.2612689873192788,1.3442616774966654,1.4675709212963977,1.6151022879035937,1.4678709322196013,1.8292875040591594,1.440553552465802,1.3566571499017708,1.2168588234651654,1.1876657695063348,1.2203415608776131,1.1963935433587334,1.1440155493790534,1.0753501120061344,1.062122481385769,1.052609671319568,1.1543044603203778,1.1844929505888084,1.385322885980654,1.1124491615443104,1.23737251801748,1.3206654327731062,1.3499368705563508,1.414134591949042,1.644628250625009,1.827274861036349,1.8146241374334255,1.7956149262589713,2.061357593619542,1.6434720231338125,1.6652776398186786,1.5191412957838548,1.3813520623122506,1.4836345574073846,1.3733543029726778,1.2529022107474281,1.0972729135537784,1.1011274583645658,1.0644729058761226,0.9436731354811853,0.8922238924185891,1.0183138689227944,1.072115298324284,0.9738042918803026,1.0789762668132759,1.2695704510759387,1.175996929651834,1.1704370837577505,1.4290615742556392,1.5490461650119975,1.3803080271098127,1.5207454602713157,1.8628697514777404,1.8428532206780361,1.9294109508440054,1.9288174146698207,1.652143060897633,1.745542486094964,1.8625001353000705,1.9423062126574508,2.0206132370529604,1.4426773532192863,1.4033229160621994,1.3054797880685534,1.236929748857387,1.3530700825304995,1.3730676421819488,1.2947991169654576,1.2667460239167978,1.469791703630272,1.3880542702025966,1.3059432043267802,1.5462654908087217,1.780730771518152,1.5256209424866722,1.5426200817574969,1.1870629137217574,1.25830591998158,1.1662015706247908,1.1125871351204646,1.0743151492371967,1.1149003608350245,1.105692530002331,1.0305677211742608,1.07980200704222,0.9775208453421468,0.9562402674005558,0.9861984810034652,1.0199058779972363,1.0191090311668316,1.075260483093081,1.200475174490852,1.2335900069526642,1.377677427163248,1.417057426684035,1.4877705086415338,1.4333296405456502,1.332539355615017,1.1644481385806222,1.2761763395558148,1.4717907470643776,1.32242440034544,1.2625249938603706,1.4604891135908984,1.4695827848303191,1.2900058905211036,1.5060173615676367,1.779511370604591,1.500412147973485,1.4527772254955216,1.6738057677363662,1.877391280466656,1.723648468970269,1.6244770153979955,2.2804633623762696,2.07782701027796,2.1442606981959247,1.875116116374064,1.5328488647482101,1.3860952473839945,1.616000827372176,1.3480376083485655,1.4375896835576263,1.0282666813399866,1.0549466275002959,0.9281123083221315,0.9635049826590663,0.8273633758792479,0.79521892648043,0.8335262227463868,0.8296986750057629,0.9504952898190473,0.8984638723199095,0.9681139696315951,0.8521537212618238,0.6498112368408459,0.7995524953388526,1.2102695305754267,1.0569576343170777,1.34570341311759,1.7828411872355177,3.0464356220194246],[0.7355810037246365,0.8732136962228346,1.0553571144309881,0.7030628525514477,0.7264759219453024,0.6060665001270297,0.5234791112205881,0.5460049097697827,0.5415199997690949,0.6203865521253769,0.6504688150857978,0.6643025090076597,0.7633880645101679,0.7649662022418092,0.9036915821093807,0.9068177635410103,0.980930052632424,1.0700524444917245,1.2260651450977849,1.2563062594927057,1.3786119619772492,1.4423830952196868,1.741194554932309,1.7983717780891315,1.911817877340297,1.4718023126901594,1.2558502044320226,1.147495744021144,1.0798109464150298,0.9797162855004421,1.019520909448641,0.9336075909542823,0.9606967265662598,1.026350845166615,1.0347376408478324,1.0947075441221168,1.0715810919463475,1.240589333758526,1.2244777932683197,1.3672329692893805,1.350321713585005,1.3373788853408586,1.3712585452242303,1.4716998018870158,2.000068571448331,2.2966816382743223,2.7033317112351885,1.7800970522021016,1.6941020863632803,2.001842871343123,1.8959436838866288,2.0022518755015835,1.7408019793660139,1.6949283498725345,1.7154898228497035,1.5973997774548838,1.5030840761763202,1.4704206340125443,1.425180558918072,1.8133939375793382,1.6123102199449766,1.4621227503892942,1.3699392380493438,1.5121463871570364,1.5011474874030566,1.351958369075139,1.421145160416848,1.2128216752737924,1.2294872836867743,1.154048577818431,1.2630148093899347,1.5502739846531726,1.2242587130786682,1.3109805889432102,1.2063958038330258,1.403873321735402,1.2399735137420642,1.1833488610278329,1.217461132749642,1.2796736471787704,1.2066039181384953,1.304137281139397,1.2958492740557455,1.2258714883324193,1.1157474281996218,1.1041349818181552,1.2192110487000525,1.1212572113480619,1.1757421018237244,1.1250642122987085,1.1238428371787896,1.277612087307946,1.1472814638072155,1.02922592601548,0.9711423498895839,1.0056713818772067,0.9753573450000486,0.8227443458208341,0.7232174874566678,0.6984094982686698,0.7651664457423009,0.792559852677267,0.8649816839681582,0.8183004014454061,1.2036144768337926,0.8653245108294134,0.8760770405555951,0.8594087496012458,0.7906409199918928,0.8226462181860664,0.7031057196299435,0.7107285187410007,0.6051692663675018,0.6904020903786101,0.8101732723427126,0.8979684689315176,1.0382438200238058,1.1353725094713185,1.3123961669973374,1.039072072229698,0.9832944911456455,0.8864228390078333,0.8737297785946553,0.7967567391204812,0.6220333506075751,0.6417671452316946,0.7319203823528145,0.6966520101911601,0.8106069789610347,0.8704938654397718,0.9528807710460379,0.9772731600664855,1.0073009774954387,0.9507755681768051,0.9652648236518816,0.9912350502059432,0.947760666134037,0.9020535144380272,0.8728249353536549,0.9947156228021702,1.1968857797643948,1.3891313722813767,1.246574481111753,1.142462936709069,1.188957634078429,1.0541433849935475,0.978300693642633,0.8855287679252959,0.7690421099531818,0.6549121779912405,0.6338026725347939,0.583092524250236,0.7098563931093896,1.0299403246871275,0.8488862478468476,0.6581409329557958,0.6549928518116115,0.6697421155421789,0.7850577313892236,0.7943950367449362,0.9103590152558798,0.9944654407935591,1.1000142503258437,1.1577063266520258,1.3055454791866095,1.4726523730003223,1.3321019157145428,1.7462142131289682,1.394579110092328,1.2877736795210268,1.0973956937450273,1.0430143923888122,1.0564505225014476,1.030292919886917,0.9739089477209703,0.9219561297363588,0.9093767056958191,0.9022584827671885,0.9756341119513195,1.01337245275926,1.2414998232601333,0.9626585950174256,1.0641324961309306,1.1456665127989205,1.1686487513513835,1.202655011117416,1.410243525337538,1.591674353488995,1.6265901362852127,1.572593508556685,1.8576360848953926,1.4480777558558253,1.5139156657138007,1.3915226131942295,1.2435806518560117,1.3492314177265723,1.2516649026857092,1.141765039065129,1.0019074141083675,1.036525451544792,0.9664058648614756,0.8692626379861487,0.8314362493081882,0.9380745264545532,0.984288466754374,0.9260492534109042,1.0350698621603123,1.195247883668871,1.109952545538977,1.1361288221987131,1.3788470898018073,1.472306853975583,1.3335711755056021,1.4905354741469627,1.7854618085521148,1.7758065002284469,1.8157835658304176,1.79054656948765,1.5324641615360675,1.6094016673045053,1.6821923923240047,1.8190711459723583,1.8414911929715778,1.2952220586734295,1.2272135828467265,1.1392491056027998,1.093876652098691,1.1777849947715717,1.1900836507386872,1.128696101337829,1.1119286313847074,1.2925994054568355,1.2011527232642654,1.1523154158910895,1.3944493593019596,1.5839119968200783,1.3660001795453844,1.4511885746073927,1.0698791638067715,1.1473795208869155,1.0453897755230475,0.9957101766873611,0.9816395262929302,1.0183244923334571,1.028357593503371,0.9493977487454677,0.996291405897236,0.9102750609502085,0.9015001995094228,0.9179383144723572,0.959769016508229,0.9798788369052368,1.0293012581206566,1.128256644105951,1.171326273812076,1.333906774086142,1.3416730331364972,1.3873477222899189,1.3265886940600555,1.2195492973044655,1.0653812788376003,1.1450865943172746,1.3283563473896463,1.2121958260604095,1.13186487706521,1.3043977451383224,1.3290817972832298,1.1605293365444898,1.3264962428108995,1.593570370249428,1.3532220827382628,1.3001213266793623,1.4787425166564454,1.6868514909400758,1.560999010286227,1.5021153261843208,2.1188969802673916,1.9806425074786855,2.0009581775422554,1.8215629851983934,1.4689472254253466,1.363638654958928,1.6366697943803192,1.3197926309501455,1.3802247939661445,0.9386070497405515,0.9772361267843892,0.8789845106253269,0.9016860755768135,0.7761683989361352,0.767378616265093,0.7984208919837731,0.7891408296448211,0.945874906016298,0.8876026671927506,0.9482309590994336,0.8401881815550547,0.643768135198485,0.7980227442419463,1.1900667298598122,1.0099312161760683,1.3625367723678532,1.7455373055053751,2.908900649077653],[0.7892227830479034,0.8891808875905177,1.0177071613601638,0.7092033985427877,0.6651156199164556,0.5469957181601598,0.4418072562733447,0.44648909649387875,0.466075157855737,0.5164465481124659,0.5472852033208689,0.5619168040156951,0.6392339603777448,0.6588837201445739,0.7709693485748501,0.7635752584268389,0.8575619874802274,0.9521710364299579,1.1301698924931165,1.1427823182674064,1.283607523312468,1.3568347045802567,1.6606264943702145,1.7346311032243382,1.8502031949321216,1.3958818804644448,1.157442149989593,1.0296274410712214,0.9506635220200665,0.8355955947584112,0.8821137153625631,0.7769447204118041,0.7995111597861354,0.8728165208680285,0.8775611240217636,0.9570529936533699,0.916937322315951,1.1006403125386934,1.0977804793074215,1.2428161940546971,1.2548613507449793,1.2401317408601211,1.2777539393712205,1.3948988460334457,1.9531355180646828,2.2622810221862375,2.6743510612596344,1.7182510931647887,1.6395589160152761,1.9567050592131265,1.827390693016068,1.9321454299013496,1.6584143066662436,1.595608514494918,1.6162581265057139,1.5055557345835333,1.4216755528442158,1.3694429797669982,1.3254038155732621,1.7755077298055655,1.5225672795774712,1.3633519938911443,1.266189088834548,1.4196697771708957,1.412499111816944,1.2483123640538736,1.342440988602323,1.1006259913290874,1.1426010196427887,1.0598085118872969,1.1833665707353453,1.4782623740986898,1.1485995584983082,1.232413585682584,1.0983346573883885,1.321766924026078,1.1245693581940948,1.0598436988954167,1.0851457442410435,1.1609442208956375,1.0660915148215473,1.174721124714002,1.1815396625291927,1.089265228558964,1.0022114529014312,0.9622876219725381,1.087825084780915,0.9766626919361548,1.0474975715658907,0.9847343570352541,0.9970993548775593,1.1725204226481696,1.0236066838025437,0.8839952471252402,0.8293606763023894,0.8744797898349584,0.8717117705768378,0.6949844884942932,0.585983557813126,0.5925553355865074,0.6120199055457978,0.658216614874709,0.7063889842315018,0.6639242987837228,1.0584360172927247,0.7232671491943682,0.7667727709833096,0.7392087107887173,0.6656842257267297,0.711332479602373,0.599358352174802,0.5766261860418487,0.4788641035635948,0.5809526790334018,0.7032202324997452,0.8015134811036544,0.9325209791727416,1.0454595858131301,1.2466573472219116,0.9397858625350344,0.9025194856508006,0.8131876904918642,0.8185576018701234,0.7216376433936948,0.5425305455394045,0.5465025725558932,0.654155211642257,0.5988467601067382,0.701391509796842,0.7533229072180618,0.8704508953478355,0.8987571430416074,0.9231363012205764,0.843177727012874,0.8623865574467305,0.9040441936670832,0.8757991236302746,0.8296615961302503,0.8082347623344953,0.9101927608626539,1.1136434189078808,1.3012365208955352,1.1535823224655064,1.0381895074821919,1.0781896029199178,0.9304657144161732,0.8584688261024791,0.7510002058684152,0.62612034805445,0.5397661346573119,0.5265199788285678,0.4843229178251862,0.642951039892105,1.0921631082398107,0.8258470922692205,0.5355426632202778,0.5141009800958236,0.5272853566816256,0.6262612156482377,0.6358081205712933,0.7661177893797927,0.8638550764901746,0.9878857147213113,1.0462424886490589,1.2217076503094741,1.409820621999672,1.2821178583733703,1.7506317076136868,1.4321974745279973,1.2816186060485273,1.043627779819778,0.9362386264660048,0.9443503988078187,0.9055622545220899,0.837368907332048,0.7742684156267555,0.7630305833804522,0.7724868863581347,0.8416346811008648,0.8786468295654054,1.1603984468426296,0.8194194277490665,0.9489303229184306,1.065274147918362,1.0777884032372405,1.1101515757295675,1.3026994383864812,1.5187492587618199,1.5766532530050814,1.5107283599341357,1.8043299329771714,1.3707302956282947,1.4707896840455397,1.3537852022746977,1.214548122156335,1.338343414732777,1.2094967926030096,1.0982558824962563,0.9647999400955347,0.9886332471643494,0.903310866550517,0.8029395355682253,0.7610376693236885,0.8724624528953904,0.9414153005842713,0.8862508506780461,0.9694394694086479,1.154412324376052,1.1135212286209812,1.1368188841644695,1.3708104176265608,1.5160139374236377,1.3910706895810734,1.5138730811246963,1.8482099567552512,1.772174616109702,1.8943776935595504,1.7782311221355174,1.51968227949967,1.6366093755197193,1.711748534211106,1.8565759217318163,1.8099409409032743,1.3371745256271421,1.2269051090757608,1.1178982975612055,1.0556499685339775,1.141491408300617,1.170712156616541,1.0792578393704566,1.0820483686611273,1.2742264328251112,1.2016821006239713,1.1306758295868933,1.3444512621998734,1.5585518302303836,1.3239379394312327,1.4149010689488288,1.0393644189902471,1.0826919216398208,1.007649114380316,0.9499813200361508,0.9419749738269605,0.9942263994829835,0.9445583923008122,0.8892130744744643,0.950610705529497,0.8561665161908762,0.8272409279609033,0.8940510841210542,0.9802280301052556,1.0118414897158512,1.053867492751426,1.1793237247107542,1.2538026951109944,1.4155378749484382,1.4155969308862004,1.4764810188729098,1.383271729927733,1.2621504191410535,1.0659122585183431,1.1580549791572619,1.3560968783403036,1.2095196269258164,1.1115821900385299,1.2936570767617972,1.3154765607521848,1.1110298234662777,1.3009583959413673,1.5802724777010957,1.2961449087181356,1.2605925825624313,1.4466242918108667,1.6682202430105757,1.4950640168921339,1.3964217682375257,1.9721828705948496,1.7877800347559392,1.9434897459845182,1.6938295985695355,1.3881504207790132,1.2972486499987106,1.443822406019011,1.154298233793164,1.184985599670499,0.8709903255584863,0.9084671382145467,0.8100717438028638,0.8443815353918391,0.6838565425458453,0.7071744079465726,0.7423474581615751,0.7442630907506017,0.8693440901244894,0.8423911351823153,0.8870913014412872,0.8174658880763099,0.630846578142967,0.7875961916563377,1.1865343646055087,1.1722895096848265,1.3202535782013394,1.9358801951805111,3.3383477077826083],[0.886679578010674,0.9673445638103914,1.1005390107363833,0.7541211472598712,0.6983875945896093,0.5927002982057097,0.44725444596225405,0.4685136617597179,0.4505347181422423,0.5026597590569013,0.5254700991950582,0.5430596979016064,0.6444428693986133,0.6506441310186206,0.7776852911666413,0.7861906375481623,0.8767996677932175,0.9872140349083508,1.1839041394338063,1.2153875144671573,1.3680862508904421,1.4581862174727533,1.7795093544131682,1.8562008107166406,1.9199583634417525,1.4591042116081667,1.229252515271667,1.0868828669453119,1.0008561819814579,0.8738962506032166,0.9164308626179283,0.8216897730551072,0.8439108631002679,0.9238536040309226,0.9398036528272316,1.0108022854586223,0.9830160874391951,1.1870466251453053,1.19311757675623,1.362370776235125,1.3517774746727582,1.3366573737852085,1.389531022661774,1.5027368511579,2.0460973368251154,2.337478720000641,2.76159304274322,1.8409089068068307,1.7310759774494933,2.0573405548744677,1.996822151202738,2.002924675366429,1.7902341140292861,1.683742415809408,1.7359759453174177,1.663915289602167,1.5581287877423924,1.471793090076599,1.4613136786066392,1.843759378201377,1.63744930373366,1.4633261028490063,1.3486844026731566,1.526096292196418,1.5165673986050738,1.3390716211799247,1.402061380074564,1.1592035197737298,1.1780988982676242,1.0726093998427777,1.2014328729308055,1.5051101157766271,1.1558343180999509,1.2718684210298024,1.1406497377626248,1.3507575958940299,1.1936204214634825,1.1232393757732047,1.166821883322519,1.2460842625668984,1.161367995983998,1.275080581881746,1.2493761361892288,1.2159769740377657,1.0820071268196836,1.0603915380026294,1.178248910533841,1.053984722427669,1.1152211727434176,1.0496791780650896,1.041743082635079,1.207835264098337,1.058219537546512,0.9137466850047906,0.852829555566485,0.877773117915431,0.8532992159203545,0.6872196471985745,0.5828613050654248,0.5842716122694537,0.63167278234533,0.6979589357212281,0.7631672617168316,0.7320761524471321,1.1732906861898427,0.8098045161244798,0.8579166347430977,0.8567210991358692,0.7703813919103251,0.7656155513461477,0.6707115799237244,0.6385023600080004,0.5016512037029538,0.5908306730645905,0.7074268818396855,0.8114136245806021,0.9638423342075259,1.0823589787056227,1.2727896270868668,0.9726660134424111,0.9160573456272486,0.8055833839500033,0.8042943343305506,0.7003081741932017,0.5171303921423916,0.5571797100331742,0.6843770306034738,0.6291289167889957,0.7649167183806168,0.8325286985833472,0.955354918304276,1.0014753817971416,1.045048111500093,0.9612487364225075,0.9629538594161503,0.9611070232516976,0.9337233434762907,0.8561703364209764,0.8233991074892514,0.9451589044441785,1.1739001036296837,1.4021804999934635,1.224216840675114,1.0982205101368683,1.1537878158297104,0.9864138533077449,0.9021885842660684,0.7866229962123649,0.6676741155559945,0.5401838157341522,0.5481704497344858,0.49246856751040924,0.6635207311463167,1.0617208368978706,0.7767677690377917,0.5535883435058081,0.5328975520271423,0.5685671484134192,0.6731067736286703,0.7121752302133907,0.8389483954700023,0.9327233446410252,1.0608698973219493,1.1351360025354733,1.3290374158094487,1.5184493932178547,1.3789885267031212,1.8538291544478385,1.4967635941885122,1.3422245608293915,1.1122932731871369,1.0076667091797364,1.0283255795889505,0.992570833785311,0.9188489109541881,0.8581959738778983,0.8298819123959918,0.8495615423830923,0.9235321823884444,0.977441287752794,1.2213852684209587,0.9225074221721101,1.0714227972962833,1.1837668243448094,1.189942935412533,1.2353867451156513,1.4163354058773754,1.6883809437177808,1.6738756760450026,1.6428990608164458,1.9095692460439868,1.4829900421641011,1.5799899084001825,1.4520566534663504,1.3320346859612637,1.4634887207876415,1.3158133523625888,1.2066240064999403,1.0669598453351226,1.050316112332709,1.0454809408839447,0.9356081079959033,0.8668070971281656,1.0206829455020134,1.1101529179054748,1.0209669738951899,1.1030167863873501,1.327744560923392,1.277241750710646,1.2702241733073198,1.5240207009049465,1.6789442610943681,1.5159699721914004,1.636013731828057,1.9774120484846665,1.9283580460197294,2.0497989725341808,2.0039552909683813,1.7270682307496075,1.8449479426609738,1.9417575991294662,2.011569018572566,2.042417297598721,1.5068103245457907,1.4496097195363382,1.3305178056203133,1.2536265691838486,1.35878405824122,1.3828835028767632,1.2894684006480688,1.2632819957045407,1.4616272125553895,1.3883404009883338,1.2935791663611858,1.4905480830151705,1.7300035770776638,1.4797081677060722,1.4845635274316522,1.1699511656014887,1.2063590946378524,1.1505573300971481,1.117467727330418,1.0831137554575845,1.1507853712444691,1.0701776833352061,1.0209743162385863,1.1195210049387607,1.0070948217916191,0.9573648892750154,1.0516099298349784,1.1281910983539383,1.1258426658203649,1.186175373268644,1.3312424074075093,1.3865013890200126,1.5220750396664802,1.565528277163309,1.6419910967697695,1.563434793079213,1.4503950676103636,1.253321182467408,1.3521685898961209,1.5692816527616975,1.4047223279205243,1.3107762736262136,1.5126080823761427,1.5300823124000946,1.3116109317654605,1.5211775046457083,1.8017984811171042,1.5112478086613765,1.4391986104190295,1.6634546984189411,1.8752360909903594,1.705695535834744,1.6142300722089524,2.2275546352399958,2.0483238505231975,2.193509597879172,1.8954413294000918,1.5706414464583045,1.4333606825545269,1.5844765392447662,1.3198706206900868,1.3735910061568855,1.0106546075714054,1.0451017648754093,0.9045390922243237,0.9215110843277502,0.7449538032744404,0.7843850989698999,0.8171885577526022,0.8584912305528779,0.885255055786403,0.9001632688971457,1.0200722051164322,0.9403299207015536,0.6299419305598922,0.8733348840257142,1.3403019547837984,1.3082215205797918,1.4450921547824533,2.062506313867573,3.5419610470761724],[0.9361878648186718,1.035293137355562,1.1917120847911387,0.8243693294595198,0.7751413475482342,0.6836284616324552,0.5141080292091508,0.5447249558172166,0.5015770776706218,0.5367236788071676,0.5524224460514282,0.587697911870876,0.6703777702470344,0.6642325763108962,0.7902791499796287,0.8047579493317373,0.88369843650482,0.9816990101006355,1.1595748779001573,1.193898926545353,1.3319225027920858,1.4320853706148446,1.7279274745126196,1.8034388980794922,1.8593976201798377,1.4134035416070865,1.208517747376049,1.0769914834450593,1.0026604260115517,0.8897301782321351,0.9219613983727547,0.8487506549373264,0.8767518610618585,0.9323858710127552,0.9520684730119608,1.0108015325229076,0.999886245997401,1.189384537468776,1.1915978693584084,1.3485978250960549,1.3333051181210194,1.3171781602817365,1.3679959447477437,1.467885209866035,2.0265965595070425,2.3446987121505543,2.7423184070662203,1.8044221367780295,1.700341851457532,2.0202015903319372,1.9642008257532229,1.9666325578492718,1.754546389879508,1.6509666788936863,1.7242706500770086,1.6332332547421091,1.5369744307794038,1.4570556836777468,1.441077881984076,1.8039695279265489,1.6207687267570774,1.4333446942843082,1.322605147476182,1.4949503606727077,1.4900616739788193,1.3143952199066178,1.3601880758363514,1.1373109380228252,1.1471540206169197,1.0505977556533914,1.1755712816307928,1.4717199762868467,1.1238499725348043,1.243477054965538,1.120807394247472,1.327215296558982,1.1775120440579652,1.1114425077839378,1.160308954744049,1.2348573033277261,1.161067482235645,1.2672426640063505,1.257808722329395,1.2222894377911644,1.076625046042976,1.072269145303173,1.1736331742525872,1.0615542254587915,1.1074429327625008,1.0532509828039465,1.0352563039111202,1.189170283834389,1.0560931216667273,0.9188378211753783,0.8642997782687808,0.8814621110351597,0.8732454500702858,0.7185764240206761,0.625053023387388,0.6374696963723738,0.6831221693336854,0.7501318595940792,0.7994004213064766,0.7785987793841483,1.2171089130442745,0.8629990455553327,0.8930765007230416,0.8853643373196413,0.8178321526678664,0.8150994432267099,0.7376275096388866,0.693547413439186,0.5573777403741156,0.6160661137575788,0.7257311034450104,0.8198489869836625,0.963325463416244,1.062631186634573,1.2302750601933576,0.959854601062945,0.9052480457325329,0.8067795494325783,0.7990881656539806,0.7068129322894544,0.5411477191766698,0.582886080768314,0.7548076857301959,0.6679849708032405,0.8008597513450573,0.859080109201883,0.970447219015591,1.001545591054038,1.042637204958889,0.9750807109024301,0.9736332287508931,0.9680531174959368,0.9405748171181213,0.8539441859751875,0.8245023849662672,0.9487858505464452,1.161216545723617,1.390868682289234,1.2052755710441685,1.090806450048818,1.1463373927509897,0.9895885565174585,0.9102273526124467,0.8061917202786896,0.7025351841979123,0.5868627602084053,0.6192870296630358,0.5693199358340317,0.7402785980377673,1.064742668174536,0.8011333947091293,0.6275682875449466,0.596234354867589,0.6345131301740286,0.7136882638281716,0.7577583210369182,0.8613952507048344,0.9481450754136213,1.0632156253768141,1.1358258884337662,1.3308752399303103,1.5175183851982637,1.3701411255293277,1.8604475912845737,1.5009293480340407,1.3425703526558757,1.1061650672263905,1.0106669805602924,1.0309310144264678,1.002209418621216,0.9328886978850828,0.8883626362884514,0.8566182295208778,0.8821305861498534,0.9343772881567235,0.9967357457374713,1.2201945342620724,0.9475116567545232,1.0772959132129143,1.173647043322876,1.1817423841723305,1.2192061437683053,1.394931449912946,1.6751412093392908,1.6546469667922525,1.6088664595457989,1.8690944798643438,1.455924218370954,1.5583725443199983,1.4359770630512387,1.3126201852937134,1.4362676562395265,1.3049663514977432,1.1895364974185874,1.0639324235312244,1.056950920735522,1.0833275887423175,0.9853289921657984,0.919428473579297,1.0854380763302178,1.173354876098861,1.095891431113825,1.1976317231137372,1.4160405182086673,1.3475241113707852,1.3506702687128826,1.612219258131305,1.7400088725811382,1.5729949266549401,1.7066829747323058,2.0240547379930494,2.0118867329948444,2.0876659829315187,2.079153501197802,1.8019031726728756,1.893859063458022,1.9672287666616097,2.019741826592333,2.0837447338515966,1.507959718127895,1.4687808278323347,1.3470401896990607,1.272865901348723,1.3477992493845226,1.3742865220240539,1.3146238631324796,1.2504828483196901,1.4229888119867882,1.3551678605056419,1.2746724019927516,1.4762797114062545,1.698199154436191,1.4658242186699628,1.4697618487237516,1.1656655670357563,1.2082848291958905,1.1377415566219127,1.1367750776521386,1.0858194738764766,1.167523294819808,1.108370126419745,1.0561940292452345,1.1640274744469177,1.0583423317358869,1.012522113163623,1.108063587599208,1.1816089797833582,1.1813711258862913,1.2503757341727766,1.381592590826767,1.4290340153333843,1.5710234317860685,1.6137279237272837,1.6767058225665827,1.6110450843873487,1.492847583936261,1.302151108339024,1.385372114579081,1.608408885391266,1.4671224467929493,1.3502822157945729,1.5487375937693635,1.5829764251002407,1.363670672100294,1.5412402088485946,1.8324775363643693,1.5727930290501253,1.459438342334661,1.6624273363191613,1.8913758014872712,1.7573790556821283,1.717377483092219,2.3326175367561257,2.2103159431347112,2.2918341028290894,2.0513363089686343,1.690449216627416,1.550207208244691,1.7661362082383896,1.4791532282963535,1.545534282697311,1.0853593755626811,1.114166338500003,0.9636584316872939,0.9526439764549485,0.795869612881292,0.8524217568683875,0.8726846306975923,0.9274151701653073,0.9329472718280828,0.9462499453697198,1.1170359941725547,1.0216618872651817,0.6710549037033675,0.9532815666743585,1.4280623762526075,1.3111367258967326,1.5010722433897163,1.9624897373422905,3.3445753279407193],[0.9187008853704656,0.9996241989502193,1.1278820194409642,0.8057156018278925,0.7117343933916807,0.6243735308462816,0.4500212914390361,0.47603180467269196,0.4381445173166058,0.4307148637400803,0.43593547758031115,0.5032968398150585,0.5394771558143432,0.5213580694961222,0.619184070714171,0.6396681192188033,0.7117400571899737,0.7818671416288308,0.9484202400073788,0.9768593955802152,1.09366552141219,1.199562994366208,1.4762185032925006,1.549914618475979,1.6675101418503442,1.2059382797585136,1.0024290925965973,0.878589467300052,0.8000924902120247,0.701403472273905,0.7200054367858838,0.668891888522167,0.6834986011207098,0.7167513633460523,0.7398506311350124,0.8029838585136212,0.7986628877988315,0.9636379063089986,0.9839940440272184,1.1216540163215694,1.1288538485027115,1.1004731688875145,1.1404994846980976,1.2577690110272128,1.8493651041312433,2.254344105206838,2.601691408850913,1.6018353271141885,1.5671123954893262,1.8815378720923235,1.7547469305428125,1.8177293240370471,1.5389345393516431,1.43951466781145,1.5259926065016785,1.401757052269092,1.3379390040165626,1.2398464851845576,1.2183235032516075,1.6499170217525962,1.4285566117532833,1.2019264737813076,1.0923818098868685,1.2332341767157997,1.2558765291155685,1.0789868446645423,1.139917506986574,0.913950978814852,0.9610370198047588,0.8512281272428283,0.9959932860506858,1.2797254233484443,0.9264077012567203,1.0433880334464058,0.8997247852769094,1.1610069934860052,0.9483735290040142,0.8820123926984338,0.9311516883620161,1.015791059945523,0.9366194226039023,1.0494696031740598,1.1121669445313576,1.002457745024457,0.8845119385865893,0.8742070991957179,0.9591834977510397,0.8590822373996737,0.8848700888236237,0.843295214172548,0.8178467758876111,1.0042902345465199,0.855208367320423,0.7063729104274534,0.6763142378615006,0.7069372969064361,0.7384562017553155,0.5703341174225954,0.5033941710857617,0.5620364376700623,0.5415063099178096,0.6535377897061597,0.6541123175626655,0.6593266464717372,1.0521500845226734,0.7425250024663844,0.808447767360623,0.7854465713934119,0.716443309724564,0.7347793977712926,0.6616778287579718,0.5944221136601098,0.4718685826150644,0.5229491304652779,0.6042761480377051,0.6945527750630396,0.8020859314211892,0.9013335362276795,1.0514696677913224,0.7810681491114991,0.7493960940926926,0.662730976452105,0.6848436271158407,0.5847504834603878,0.4495599667969668,0.5083939912546089,0.6964843868894753,0.6008130785609378,0.7228157866247286,0.7580705079189183,0.897498978957533,0.9309648938175031,0.9471052843633836,0.8576068771775188,0.859147932786836,0.8965432004435977,0.8841136565394758,0.7998092589926347,0.7659713868596891,0.8484959005049564,1.004056937718225,1.203291828970877,1.0127591982276163,0.9258871764349464,0.9622979365439692,0.8187288075558932,0.764356087484049,0.6659238277476114,0.5690863969876742,0.49286318439917676,0.555125490904191,0.5027278457391587,0.6959435388294959,1.0916882135223491,0.7723860554668757,0.5454646099710773,0.4922822300500947,0.5291103318857879,0.5773777912782262,0.6354046220164388,0.7199301795309632,0.7900397310380421,0.918037954996896,0.9745464737256821,1.2076077536228333,1.4147678609781058,1.3060776947083625,1.8531164688136745,1.5940454822769028,1.3880869746776157,1.0752900496913298,0.875434562063739,0.8846580242876378,0.8490707530396746,0.7710867426652478,0.7296196541252529,0.7068517552933905,0.7515507485869153,0.7725073661272459,0.8394325532482705,1.1445053806253833,0.797105418781788,0.9294819210343023,1.0470927750000505,1.0487657376764359,1.0662754089438895,1.1948031561889172,1.4782530224131016,1.5411470811056218,1.458981666912833,1.7323357413967577,1.3033031482812445,1.4611671136356918,1.3608813294030981,1.2460126717841804,1.3802252272155957,1.2398762684802804,1.1424270956623552,1.0116118867604182,1.0184163728394104,0.9576390454508127,0.8816420503036919,0.8322784500072021,0.9538704492872457,1.043791439891092,0.9946649283141049,1.0668942703594548,1.2671640139721803,1.2450415590724075,1.269234308851931,1.504486626388881,1.6485349943720262,1.5233522593752997,1.6484072831885523,1.9568469778525535,1.8958225155949342,1.987432732372162,1.8748760919722889,1.618086985061126,1.728690071905386,1.7770420065710604,1.8980946426522756,1.848416569927987,1.3705671688275054,1.2886132180611685,1.1809050324249344,1.130811906684555,1.1905263605575829,1.2054093793973193,1.1318478741728466,1.1316912320084762,1.2986805733560425,1.2323214864002106,1.168067681676769,1.3507920808074154,1.5526550408595468,1.333482859318801,1.4260661811386222,1.0783810015333009,1.1117418572599294,1.0566932793965975,1.0228001104576865,1.0106306146870823,1.075716614447565,1.0039322391729648,0.9608321953829949,1.0566512211838086,0.9673174829619043,0.9284960150479311,1.0174882023346465,1.1118548575118186,1.1314641111651464,1.1834471280745056,1.305676558127948,1.3805771564846423,1.5304008466809935,1.5424296984855683,1.5983423522138984,1.5026760961068588,1.3757689146741146,1.1761646651661424,1.2432967375002113,1.45153412963578,1.315885029725471,1.191348439001525,1.36062800087147,1.3934893158204922,1.1791565093704242,1.3340176688832426,1.6081931029626622,1.3461046822567078,1.2863676347202995,1.44919938854205,1.6552135351244128,1.512096026962531,1.454969472998225,1.9886003287014125,1.8732498678757816,2.035104653434095,1.8321619789817603,1.505843322559052,1.4234931970170965,1.571751819374675,1.251756092745498,1.2491966709578834,0.9258326753580843,0.967317488004186,0.8698211664569334,0.8951384779199896,0.7230897817660356,0.786857350778792,0.8128854173072118,0.8602360453644997,0.8781175610316249,0.9139151578952875,1.0279153406502084,0.9701293483351696,0.6467049186591364,0.9143440998662546,1.3847128925766163,1.3772436994052966,1.4904578214694197,2.1128784855390217,3.5835368985211673],[1.0440753079372818,1.0802276242003728,1.1668494084250598,0.8562953408592003,0.7340789078510387,0.6592180952888544,0.4881683775031445,0.5152967431525649,0.47951241842916925,0.4628528189299925,0.4664766498902953,0.5201455708484065,0.5694463647112146,0.5542924665759748,0.6534526274976987,0.676730801984704,0.7552260259234838,0.8449404836340096,1.0360459558825061,1.0705454151813298,1.217359773079065,1.3232688728667257,1.6296664597467228,1.7191217387495075,1.7919221732753725,1.3197532168206574,1.1036881591325305,0.9560395557887135,0.8660579480577967,0.7485066456293351,0.7673063322077309,0.7020688625976753,0.7148709481943653,0.7638683707786463,0.7942969490396522,0.867684583500053,0.8533472655008179,1.04710062143764,1.071937999771186,1.2359664441080251,1.242126719115273,1.214819043654914,1.2701564969087238,1.3891826824592182,1.9582034809309554,2.3124689867694976,2.7089943481432215,1.7425672917804949,1.6659873905516795,2.003629109509464,1.9202015221945998,1.9102917250021076,1.6889103542194444,1.5683960918733,1.6520308192270943,1.564926153726039,1.4841453156734208,1.3570259081378777,1.3649407885174942,1.769185736549015,1.5530923027166563,1.3322739160410566,1.2028563328303985,1.3715383779540453,1.383348827271883,1.1954483936059488,1.2501104483100005,0.9996891149708381,1.0355988904366742,0.9037878641804029,1.047718593252077,1.3460954216176462,0.9836881488827113,1.1244943896560695,0.9735658856431075,1.2167050576822205,1.0368177460647812,0.9623121492473827,1.0154533795808067,1.1107369770715327,1.02079550842126,1.1459077947805512,1.1549725064987026,1.0918363078136268,0.9659818045093089,0.9468970546180303,1.0482290363644282,0.9245883967950398,0.9649342399756473,0.9056982732675094,0.8836791807233276,1.0617057762289854,0.9026023384623142,0.7480138267215031,0.7131017133286668,0.7402235959044111,0.7586402261540435,0.5964994654479516,0.5257562833719573,0.5862406143384268,0.5682058716807655,0.6883782566767872,0.6906270025035643,0.7055120154371429,1.0930761688674604,0.7894637267557812,0.878084573187911,0.8882767278468217,0.7941908778836867,0.773289223471121,0.7080629549636842,0.6363501025190155,0.5099852808106061,0.5595853256305007,0.6342477143415369,0.7365499696826473,0.8535891203911739,0.9716762292362537,1.1356455822385436,0.8506468027406466,0.808301192442429,0.7074561854301031,0.7307641620145608,0.6056137080867939,0.4777522028078157,0.5473466412686186,0.7175208252120566,0.6400599831973445,0.7763008269923952,0.8254775667366435,0.9612598547061364,1.0222365030544163,1.0404350796268305,0.9510434041367349,0.9362962269817354,0.9496576815487179,0.9332374017593795,0.8419067979706722,0.8114968237105079,0.8997645970500373,1.0821815548337101,1.303806062202341,1.1048774026830264,0.9959470632854843,1.044865229508171,0.8779113206933423,0.811792464367463,0.7027451601658615,0.608720975980839,0.5266267002044093,0.5884710505049622,0.5354256694234373,0.7355252336760121,1.1486243595889567,0.7977039039086877,0.57899131724002,0.5241714652696811,0.5727409527262105,0.6097496339509999,0.6775533487333572,0.7682261895555031,0.8526947488306602,0.9887809304988514,1.0607828490734847,1.31093524457589,1.5090803214562263,1.399890612065761,1.9484796586342605,1.6539477986585651,1.4193338817488355,1.1376326180678642,0.9291556223885252,0.9514587656895412,0.9148447381552002,0.8312775655235677,0.7806463065035467,0.7540216538835086,0.8065022600679111,0.8344943260792139,0.9101789825458417,1.2121238900377167,0.8621166181735463,1.0335277093285051,1.172504865689862,1.1483457065609113,1.1762352065786008,1.306280469912897,1.6476653868145523,1.6358287815009702,1.5915883716402728,1.8492207635153648,1.4173197114255425,1.5687645677496462,1.4608933217555806,1.3704585280714257,1.5169200854506344,1.3431324316502489,1.2504385535501465,1.116917523023748,1.084143530094147,1.0737262326762078,0.9776321218725593,0.9073953768319746,1.0533632014288772,1.1679442386610617,1.0844745737009356,1.1277837121682768,1.3712742476533855,1.3745706580962063,1.3470934779842516,1.5874777973855734,1.7880354306916613,1.6289207593519597,1.7109683373466078,2.0783865321776505,1.9763445781349425,2.1699311121613443,2.0554890965037393,1.7850932816855882,1.931379235199956,2.0159021858713784,2.1299087296495762,2.073552541113652,1.6152703579211682,1.522513536281585,1.397802706758108,1.3200824527096218,1.4044441172722621,1.431608340665496,1.32167864396353,1.3144268571952098,1.5135891927717928,1.4469255956181808,1.344264349152167,1.52503079445379,1.742678218851497,1.4960104787175394,1.5244079677013118,1.2230256871532157,1.2250922259043873,1.2046644930253008,1.169011531042503,1.145516826118173,1.2447592463053934,1.0990125072693109,1.0717722485273116,1.1981283215148444,1.088236628807763,1.0200019053476315,1.1468245206452894,1.2552588332109527,1.2564108010009643,1.3066159642165787,1.464640222093085,1.5431501588194474,1.6550878743467565,1.7042057283987924,1.7948053480413175,1.6951408092858182,1.5762666728917156,1.3552197498741354,1.4439057562846953,1.672775024875952,1.4855817823654862,1.3759143489776664,1.5728456464947913,1.5924543469943375,1.342180186938999,1.5550139416752717,1.826511432969483,1.5198408443129021,1.4540984161540702,1.6900869972403973,1.8850281248546723,1.686870277319545,1.5714543343631802,2.1236202617663476,1.947964355460192,2.1946790631208333,1.8467725316764052,1.563009784460257,1.4458649427564667,1.5011365893936388,1.2498536139498,1.258012172195817,1.0313676471485729,1.0557326176402437,0.9280942022278291,0.9541539747264457,0.7672952594424916,0.8442027419094915,0.8691387893905556,0.9441633658806449,0.904036079080453,0.9537142599468522,1.095619637341658,1.0755541687143804,0.7293354959477801,0.9952574462154262,1.48820417133896,1.6164715806067176,1.7199701706884492,2.5780346124062863,4.214443510098102],[1.1146303978990535,1.1688492367952323,1.3077772355690558,0.9450764326190918,0.875296881057178,0.8169363609271617,0.6220264586910569,0.6619066705942643,0.5906890500984358,0.5782954476065226,0.5743919178559072,0.6732606227882099,0.7014269957538272,0.6693792342970032,0.775474283069468,0.8143662070030504,0.8772631390964095,0.9774614083643,1.1570853691993281,1.2074780958181721,1.3479863602372244,1.4901352774428658,1.7728421473117455,1.8724806324780274,1.8604610277146358,1.4233346316228495,1.244313066014011,1.1001763574524834,1.0200681155786926,0.9135575282776365,0.9005812420375647,0.8763478805312225,0.8948468824234019,0.9382326132054077,0.9743285570350602,1.0282529906657558,1.0467170784318303,1.2358833299842478,1.2591667492000316,1.4358739221672785,1.4217969025831498,1.3821358539220634,1.4461170550409113,1.5385809785086701,2.087549628897088,2.431006732957034,2.808245756568398,1.8917567283508705,1.790343040412838,2.1059747211853685,2.0976804577400485,2.0033193100659674,1.8350468027727749,1.690924159910288,1.7939676256924189,1.7171055367392065,1.6327215447954522,1.534756586136302,1.5375584728743357,1.8563127572102365,1.6921101130199512,1.4830356925833323,1.3577783154211716,1.5294110124201215,1.5409810322715236,1.3616496216165446,1.3531035644522422,1.1257400557910369,1.125626920570995,1.0228555143048268,1.1455873170676434,1.4303213792126441,1.0832680905389944,1.2281715891637626,1.086810976312978,1.2943479395133495,1.191068203907373,1.1279264766936212,1.199647207611667,1.2997223509478213,1.2294199833786132,1.3491129863183604,1.3244080808076917,1.3450754376579876,1.19305266146429,1.161236637032754,1.2375434059305237,1.1284857845840808,1.1425598534206682,1.089882600207721,1.0310772671619408,1.1380470270584861,1.0086490295721031,0.8834114032803565,0.836322107818329,0.8173010737464088,0.8544511371268074,0.7267699292249916,0.661232315439012,0.7401295555954518,0.7569387881404696,0.8621518203963333,0.8994401383955716,0.9103365799475754,1.3178528760428874,0.9816157159598817,1.071048444716666,1.088601556130667,0.9840306480108559,0.9655316923724088,0.8918948833635604,0.8348826640810996,0.6726278906247233,0.7112740432900532,0.7802417450452351,0.8642522188987493,0.9835835391008917,1.0780461634175253,1.2217461531809695,0.9590997953557163,0.8940102546521169,0.8095207367174108,0.8140632438142583,0.7241662542328752,0.6101297169952878,0.6921133363555013,0.8662450650452649,0.8085218709611302,0.9414985087015473,1.0070422285546108,1.128227388485832,1.1745443868855117,1.2190115430575943,1.1496583179645257,1.1170281649772031,1.0835017429012355,1.0582052533761932,0.9582270529771595,0.9304218236685643,1.0320776075337024,1.2067937710539052,1.4569201828938627,1.2497149573559876,1.1424864389232356,1.2097176898027648,1.042194287309713,0.9676683300470923,0.8647596236615611,0.7969720555692268,0.67614580462948,0.7651149025848754,0.7019290501731282,0.8801885943891724,1.177832568992651,0.8631668013748863,0.7536844828325079,0.6989074250707091,0.7645616622519613,0.8040706561969927,0.8965201957952688,0.970440469885563,1.0440831032643543,1.148326456814803,1.238696218417377,1.4524323996988935,1.643666742608192,1.5209164219563505,2.056753358534825,1.728126089927505,1.5083324364451178,1.2510429556023175,1.094566508427189,1.1420415141075726,1.106658351671898,1.03626423221151,1.000651551316254,0.9622702459157333,1.0186191401227866,1.0314918238600779,1.1289505724216842,1.3313972614025296,1.069136645317125,1.226116725980215,1.3390599401570693,1.3260356695408113,1.3420520854043387,1.4728915649988816,1.8375195675025982,1.7674188192422506,1.7198812646821855,1.9576131349603076,1.5762729733674963,1.7148322533369271,1.6029898019619049,1.5185734920989433,1.6674660103677776,1.4606208468473418,1.37165494466798,1.2586323853336083,1.210788614842418,1.2979480370993552,1.206468780782285,1.1186896204750079,1.3001836012819146,1.422546834426696,1.3209174057018156,1.369253609211355,1.6369775915040568,1.6093150512439853,1.557437128123047,1.8078465637964811,1.987599764941966,1.79198953923121,1.8794503077701288,2.2319201925974728,2.193728021918064,2.339151703682782,2.330017172729407,2.052627996419276,2.1717389874660786,2.262881443101231,2.282349703383708,2.340613386783219,1.8283934880713708,1.7807233702313838,1.6386658627469477,1.5622637297761395,1.6438003608734613,1.6516057022690345,1.5875463663283171,1.5173126051374581,1.6780841663376667,1.6254947762385241,1.5190241274709821,1.6901951376699822,1.8891957451321428,1.6489034280159025,1.6211712112109167,1.3943534256882741,1.3933370836897008,1.3765887220037434,1.4087991756118652,1.3490799520407337,1.459742641114343,1.3219976528797341,1.2968371687294518,1.44188645329265,1.3265516040679242,1.2348508481713039,1.3802960828424995,1.4750152809074115,1.451586956363284,1.515682656422374,1.6803953243819478,1.7268521881803909,1.8103608587097713,1.8945439389960332,1.9820321371742335,1.909846148249399,1.8073318014293933,1.6088404943439139,1.6909759330909884,1.916503023997543,1.7485120635542588,1.6438614345891533,1.836985955075237,1.8594184209314335,1.6151234238210794,1.8281854051658863,2.094901399921149,1.8077969359362087,1.6810133289411857,1.9116725243845023,2.1279004024256785,1.9677731583577494,1.8980479666160626,2.4809682485215014,2.34563786737764,2.5245941298468413,2.164099254903209,1.84568688360743,1.6650630783657494,1.767974282244498,1.5448262933580965,1.6028441994102152,1.2609483836488329,1.2901064791619574,1.1017208824861093,1.1078974641331798,0.9317388815478624,1.0101264153338065,1.0600871550221558,1.1734774692206489,1.100491712407798,1.1134118329266014,1.3123943552947062,1.2584536395847858,0.8647645456875559,1.135597457499125,1.6747038366105558,1.6877892868244502,1.8263723903087596,2.5503448355186085,4.164547296730757],[1.1043694528263228,1.1543701681568077,1.2542026245911007,0.9274192171632648,0.7841046236291346,0.7691233788634713,0.5738285347940841,0.6076038718376522,0.5727863095933919,0.5378071335802709,0.5362690223808141,0.6164197413055936,0.6226267493831144,0.59819578527301,0.6805178293243516,0.7106041320527909,0.7648508276330247,0.8425808019620589,1.0052154884376698,1.0383993849989261,1.15021161661969,1.283422162564651,1.530469620758075,1.620596560570855,1.6625388590152699,1.2337891640212213,1.0732905834607867,0.9435076052047892,0.8719862005455269,0.7735141069508137,0.789233712621761,0.7481637484921655,0.7691439404393692,0.7847459463622473,0.8157351784797151,0.8663167335340954,0.8750579170250952,1.0487326069373453,1.0856340215183038,1.227002946462374,1.224124107428336,1.1909323439473722,1.254392630998113,1.3517649294487695,1.9243466023611595,2.3422261720978503,2.6528483302527737,1.6970223430934337,1.6579474028202106,1.9717120968946116,1.8871811893139294,1.8462977372715783,1.6331923119711675,1.503967732686204,1.6554758743855356,1.527551575380324,1.4805306250909116,1.3483887129363867,1.3616288669658858,1.7086397727592946,1.550748526641511,1.2934379722457183,1.1735595727756825,1.3448232713828288,1.3503610492376241,1.1659576610342193,1.1788735229766412,0.9691007539143414,0.9953485697852602,0.9067072882650505,1.0303370113179202,1.302358947577163,0.9656917367228908,1.1024982633664429,0.9350374705393062,1.1958341557094476,1.011989188023,0.952716988147811,1.0111354553689824,1.0984560206941452,1.0166416607452113,1.1305454589768893,1.1456743950179944,1.0815894739189662,0.9693194333082392,0.9676114468616355,1.0363614457837729,0.9304812374285201,0.9534844963363954,0.9164996705579183,0.8814062791573501,1.0203710876384253,0.8988435472788155,0.76393336408888,0.740847864945578,0.7437576470606431,0.8083479936606991,0.6546463678718083,0.6015294451347875,0.6711900187447343,0.6383938337577368,0.7636431668653948,0.73520945670766,0.7424883198500224,1.1361993390081329,0.8022544874390232,0.8832208340901128,0.8925544121544493,0.7956897222636576,0.7836418309934757,0.7377733279094035,0.6772925106467286,0.5686490644909259,0.6108234974571388,0.6920168707421576,0.7744933998035455,0.8640765245865288,0.9553565633980178,1.0732086272010293,0.835150399807893,0.8054251221699431,0.7380370207754917,0.7564649852501691,0.6435228225383547,0.5366590810551524,0.5908327890832163,0.7611101663743893,0.6728288987319193,0.7800167970409524,0.8333432650251771,0.9447324422619513,1.0000701436668122,1.0312756349370586,0.9496914116461153,0.9360336476132016,0.9600724539372351,0.9388581006863521,0.8542494161444522,0.8562866804792868,0.9295326579846713,1.0740967239407477,1.3055465663775885,1.0897769863160103,1.0020980361464997,1.047222415621779,0.8952874127301939,0.8409595941634032,0.7324302632702238,0.6566192435339032,0.5750058693422396,0.6443010596177835,0.6267419295963709,0.8117709988746288,1.1748890870153477,0.829507765205262,0.672041014107191,0.6107450849872728,0.638043862281404,0.6726107207727272,0.7351529591590723,0.805212143001352,0.8914374593191151,1.011193347721251,1.084431075720893,1.3420496442465482,1.5356059087947849,1.4476762998641437,2.0632015478372927,1.8074731676744857,1.5175926645539504,1.1840968246990518,0.9207322955118303,0.9543360055657376,0.9228244238441369,0.8483913068736031,0.8125851767415815,0.7864966248770869,0.8628277810251312,0.8527851070284358,0.9347991568737741,1.226349618855873,0.878450472947314,1.033113393100939,1.1772246241262112,1.1524816458225406,1.1759527088023332,1.2780351752634755,1.6455648453496379,1.6470910592242638,1.5582719816723276,1.803583379405513,1.4159638563897692,1.5914263438077751,1.4871771106598333,1.3821692887855273,1.500421369403203,1.2966268553578415,1.2026102108380634,1.066582993680037,1.0496843174521622,1.0541209056411067,0.9868424395709054,0.9213911387146879,1.0749773772918143,1.1932425825226722,1.1401291416674293,1.2170137825155702,1.453217991207339,1.4263476748539856,1.440987268400819,1.6962820499649134,1.8435895465505545,1.6838379455120933,1.8115496648008274,2.1262296271479157,2.1058279210595594,2.1758368852620373,2.138999165051133,1.847418240710849,1.9422210314808062,1.9731937548430556,2.0373741225262236,2.0396340124959935,1.496856925052269,1.4417219731511155,1.3128649823152851,1.2547303352066974,1.3126353185977098,1.3208530545154065,1.260304252358787,1.2314682051795705,1.3896473829940577,1.3200975302166174,1.2472721592801905,1.4200601959050616,1.621440740459631,1.389521368534581,1.4487622583607822,1.1579996839541793,1.1844132720318306,1.1467793598653129,1.1356100090919719,1.1163799629070197,1.2122665506495898,1.099396934793013,1.062066308428133,1.204366397201288,1.1006867590928082,1.0400112865533957,1.1660023870661627,1.2691801401402336,1.2822437594832212,1.3508310572539535,1.473771766460779,1.5403459594250872,1.6799267012320878,1.718683467181971,1.7731887842107457,1.691956169263954,1.5565734611510662,1.3488423470162254,1.4034605167330894,1.6392176344553169,1.506320672471814,1.3497377563091824,1.531848142256336,1.5842353300413885,1.3312697592137828,1.4729290058026105,1.7714969209357587,1.5259853080462311,1.3761127200365018,1.5573070659088064,1.7930484028918543,1.6700904648572317,1.6781593997668065,2.238342729956717,2.225955645760574,2.352496235755629,2.1247711348289626,1.7369697793682035,1.6073033751883787,1.78451055635262,1.4724460953814076,1.4854015734865536,1.0330716117339833,1.0673763203194409,0.9354523697798999,0.934009986267674,0.7753593126288679,0.8752553598186487,0.9006219858734686,1.002811423095177,0.9433692745733019,1.0000878350500924,1.2088906216554223,1.1660708785936353,0.791347883641628,1.087073544324835,1.6058452212102785,1.5936955599372058,1.7345167085608215,2.37036369556228,3.898616933915315],[1.0573992908778218,1.0602434012091502,1.126615416640762,0.8432800509511045,0.719212064119283,0.6900558935765354,0.5592428917991117,0.5911653104764522,0.54533747431091,0.516873289892408,0.5133251746727882,0.5664783526951653,0.5921429583145508,0.5627488547891869,0.6329401025714335,0.6825524125824686,0.7457556445293221,0.8057856521833691,0.9558030651343346,0.9978731777548248,1.0899784952991283,1.2156149422497629,1.4458346420669965,1.5336537796218512,1.623072319620911,1.1928746805883064,1.0327913385348197,0.906953346369392,0.8332269097325187,0.7361845469074071,0.7522524724964202,0.70440614183526,0.7106513068161602,0.7286985133348731,0.7571587090674599,0.8228465494884095,0.834358625680213,1.007344637338785,1.0545165751797798,1.1907711679321435,1.1866705679428622,1.1433805832718167,1.204531481259063,1.314094305666232,1.894291768092124,2.3355690741628523,2.635525315366205,1.6539105479511729,1.6446584396840684,1.9685429542204822,1.8432143538755406,1.8399901113576724,1.5969616202973616,1.4672791824068483,1.622285105422852,1.4783812477773741,1.4355093473631142,1.291930469530433,1.3075576777958526,1.6708270277034925,1.5104557702851844,1.2336669840039745,1.1157096939046582,1.2650471876447074,1.2753833821670364,1.1015133929097571,1.127696157488065,0.930288019493782,0.9677886402324093,0.86806965718292,1.0014805546061365,1.2570631651919815,0.9321537620254874,1.0652840452060224,0.8850560967435072,1.1741553062555008,0.9498249102159682,0.894655707954856,0.9516891437532338,1.0393422852637244,0.9621473417215826,1.0786858879195507,1.1323730958987712,1.0094450629887248,0.9218495526924811,0.9314215777360482,0.9914370344738397,0.8828268389313697,0.8989262717323805,0.8557108239140041,0.8407511747229046,0.9906956739581309,0.8603960572815077,0.7122089965058543,0.69533257224364,0.7103190231839567,0.7621018682625397,0.629377730447325,0.5916172788065035,0.6678907231886689,0.62453292296308,0.7597274915876004,0.7019592014661217,0.742337899137325,1.0679439239530797,0.8233756258991773,0.9419796849730324,0.949046004030024,0.8467496318138623,0.8345486634019388,0.7470220583550513,0.6849482199155209,0.5870478032717118,0.6480577326356923,0.6868769603839151,0.7790544991530416,0.8382249264435998,0.9355015808122202,1.045011640448207,0.809512308255691,0.793019606937326,0.7170395243048135,0.7524998849558958,0.6394466335993153,0.5364812729669227,0.6437521358691666,0.7053032617931805,0.7347825640009549,0.8652848802240019,0.9076254300210641,1.0412956639483375,1.120925335898561,1.1201986847800043,1.0189127370377025,1.000493812962716,1.0533706609487434,1.03570050309432,0.93436584105192,0.9263321826205103,0.9729547764840146,1.060255122373695,1.2672403741796054,1.0621811856208818,0.9991382914399879,1.0322520546869554,0.8855777152063402,0.8468797321532909,0.7260590376678457,0.6583228370713413,0.5843766728875928,0.678309088827119,0.6141315918176974,0.8114875946425004,1.1889873772460025,0.8377710047477187,0.6624999381361771,0.5995754812778156,0.6346568119066315,0.6377791279855323,0.7121582246751998,0.8068681258128311,0.8856862544162242,1.0200045969479832,1.0819583317272463,1.3617167705254507,1.5585462676080062,1.5184386167070423,2.140218801222475,1.954852072557541,1.6379700481408084,1.295143286990441,0.9491554171358907,0.9708788044633534,0.937746936268995,0.8473412283423635,0.8074082002126195,0.7642859168335131,0.8731488377121407,0.8538717500495944,0.9412573018665817,1.2955139437303367,0.897157797521765,1.0780421320408455,1.2372459530061564,1.19738930583803,1.1974128744657218,1.257233843509604,1.636782897190566,1.6429196946520825,1.5622497923062935,1.8264912592389557,1.453791746257877,1.6475930407348494,1.5648727037307837,1.4872662077310983,1.5966285192134075,1.3979036980757371,1.3185667749416703,1.1661220932225262,1.1262169855652802,1.0576765732583089,0.9799597322345005,0.930392334405789,1.025092053470498,1.1235544234907617,1.0692061076173607,1.0895475296540054,1.318844435005961,1.3536635416136653,1.348912236187387,1.5706711440517076,1.7689531857865037,1.6416144273283846,1.729967957241002,2.0674707452116055,1.9596524957917445,2.1234002441930584,1.9603118817737282,1.6938616849445893,1.838371880727473,1.8694328709546506,1.9851773837401105,1.909621653091169,1.4762744847876963,1.3835982318395086,1.2769932419395182,1.2344600632349598,1.306359837887482,1.3158139952635126,1.2203255790579803,1.2604780429652067,1.4366664188358778,1.3805494187166214,1.3202552324611834,1.4718035415545554,1.6933214239839915,1.4515091985249613,1.5618917133393808,1.2343341584710148,1.2301663900257624,1.2002991798409612,1.1399394513759704,1.1546603843390573,1.2435040603911098,1.0869676997073296,1.065305412953003,1.160471028628647,1.0834310798201652,1.0255571024874137,1.1375878362392091,1.2526791562632331,1.277441673090667,1.3170514428752764,1.4526647147746272,1.5435821069805264,1.657907142403946,1.6915231996005167,1.7596310610190034,1.6430449110337513,1.5135606106363342,1.3039033982720518,1.3647818816655295,1.569994968029423,1.4131254958090076,1.2912078130656524,1.4427898921958169,1.4745719916931144,1.2483776604827026,1.403640995567077,1.6306337341179051,1.3809941627867255,1.3696309619096187,1.5190290897716416,1.7061977564550053,1.5353426044362464,1.4508482127515052,1.9362150918982304,1.8040176964154766,2.09548458588016,1.7933432053546983,1.5012647997008715,1.4161088964346815,1.4425241451743505,1.1772426822778361,1.1339354920102143,1.0452907105079836,1.0238638817506542,0.9511947129029757,1.0047364192704653,0.8067663676026701,0.8868962579987052,0.9103525719989957,0.9660217395188361,0.9285436499085669,1.0177137482615988,1.0863323195233674,1.09670857262131,0.7835512919292146,1.0067193079293146,1.5121361887398919,1.6741557592729113,1.8227970115902459,2.7545904273558612,4.410689214694695],[1.4641742462672276,1.4462850540340912,1.48187924008638,1.1657956910733192,1.0281842183053609,1.0441219536307038,0.8683026522410653,0.908085265010063,0.8435300191288136,0.7428499788901769,0.7414650046828648,0.8309270097879219,0.7608625200792454,0.7339205645899433,0.7812523220310893,0.8047995434539332,0.8235356282590395,0.8628309456866902,1.037372253683702,1.0488227040139058,1.169247351751907,1.290889300572026,1.5674620778468753,1.6713264195219537,1.7108798289595752,1.2635927572286527,1.081247012033333,0.9582955673573785,0.891149059035456,0.8442867261336396,0.8449356716962342,0.8258911818690199,0.8437715089935086,0.8265176890847874,0.8478465043770641,0.8894397561954323,0.9118130748710845,1.0729814723510207,1.119086193262832,1.2910497160381702,1.2485728602824318,1.2148209102445942,1.286827591418405,1.381606649711778,1.9340502814545724,2.338302722923774,2.6722209378724187,1.7329171726350243,1.6768540170454096,2.0156799749035765,1.9629769867142384,1.8831245864635555,1.712135716121428,1.5457695676606948,1.707132679589812,1.5803530831335106,1.5069378177912895,1.3781460159398093,1.3925487078476324,1.7327442883141646,1.55696151418579,1.3001612967502645,1.1685681734369737,1.3350168362428363,1.3508565083206414,1.1761331706452403,1.1981810682909142,0.9971904140043611,1.0378926519201914,0.9335524416565697,1.06521885899985,1.331547563007552,1.009319569092091,1.1364318807846463,0.968755047647229,1.2071494903237903,1.0283817861514388,0.9687451352399788,1.0336064058122854,1.1234691526877256,1.0622316876199145,1.1918388421133366,1.208672416748937,1.1674081517227604,1.0624178958595665,1.0196846584526322,1.063632047618973,0.9756472309413369,0.9698867568559583,0.9353092899178884,0.9154995720710849,1.0768589331277376,0.9465407027364274,0.8181778229683866,0.8150014252691743,0.8482660579297444,0.9123680990638516,0.8113708617153446,0.8011226454305739,0.9307754410340903,0.8332840589791087,1.0012967119457443,0.9082069818275273,0.952748166685988,1.2448299529861948,1.032325773095552,1.174938424190114,1.137999347875824,1.0791284592815593,1.0583061468763053,1.022271462215171,0.9028005936483637,0.8062744848548563,0.7706047903959099,0.7908760345871114,0.8325926364028293,0.8882513729601578,0.9691453454800661,1.094099102069908,0.853026238181143,0.8583957495039145,0.7999395859846826,0.8111098109782924,0.7345682761019114,0.7228824568329951,0.7610706008250558,0.9915167917428115,0.8900703367090609,1.0149668683108157,1.0351728470965473,1.1638193072625878,1.217877005264946,1.2201773086371424,1.1550721312571537,1.106599313888206,1.1031564899599853,1.095318179464976,0.9420131225109222,0.9059701327292853,0.9578795070176023,1.0847154856513215,1.3162376073181288,1.0997705643710123,1.0196562931577209,1.075185521234142,0.9399720801060226,0.8943938392902313,0.8284153681632053,0.8064556147025693,0.7949054042014206,0.9288910752542089,0.9185374202494251,1.0936161791664731,1.416085428265048,1.070840240943448,0.9517135893595696,0.8418754831053974,0.9035607631359179,0.8288795522505185,0.9253145024479488,0.9317779296198493,0.9669206745136233,1.0551664290401128,1.1382909071595948,1.3893087412127674,1.563271844721302,1.5089133926946765,2.1138643203198426,1.8499698739000867,1.565242987985383,1.2642954801449782,1.0112903641365079,1.067754999699194,1.0437850197143745,0.9750258197182344,0.9684367112671817,0.9267081862603909,1.0320760058472611,0.987821153493275,1.0964555094675688,1.3034366090554068,1.0497731025461732,1.2073645951679752,1.3565884603503249,1.2859191334457785,1.275772143065606,1.350278008100973,1.7273734103740708,1.6757770426086098,1.6210508937812205,1.8570726736876904,1.5146181327276556,1.6840051941195713,1.597213994034126,1.5364092316494449,1.6860978132618993,1.4632447120007324,1.4388925483062842,1.3486338330838934,1.3262187714856704,1.4028393497655587,1.3516332592212283,1.2566730184902277,1.4126642508408285,1.5662137432811278,1.474836024375261,1.4684341113827,1.7618899981912144,1.8011788113322302,1.7485946595824156,1.96797866907466,2.1846429272085524,2.018599631086226,2.062581140524313,2.4129584464528038,2.315661129505131,2.528290710232473,2.431206484739536,2.1816160144967034,2.334109284504639,2.4057627310600638,2.5037862182003012,2.4181042123580356,2.0073575016023377,1.9051112792234297,1.7744082714796314,1.6881694742489555,1.766988953269129,1.8131402353670967,1.6660804690288504,1.650514869294378,1.817222334455154,1.7624909304126983,1.6374219513551724,1.7289542384794803,1.976584750049224,1.7349727025963546,1.6842274225232092,1.503942678342326,1.4486009845165397,1.5065956159649647,1.5263211945910629,1.5050034394917895,1.6784907247607257,1.4427928932971188,1.4212374720745624,1.6378626771237799,1.5271463519841955,1.408365232708746,1.570271053007606,1.7064877220469594,1.7044693029242823,1.7460141841615644,1.9099932889508118,1.9843026856213024,2.0531101746924896,2.1191036332107918,2.2092678206878475,2.1154141537426163,2.0049996155714416,1.7892274249076068,1.8709830052572156,2.092211119710819,1.908786127159162,1.7812610584087538,1.9661649998683999,1.9890770639634192,1.711006302400304,1.8926273777356872,2.1321486398940768,1.8542467279160528,1.7421985845991967,1.9681324151757558,2.1594030688126344,1.9597830902531512,1.8757148549325287,2.3544318539678093,2.2407027881729187,2.5573579036796406,2.1530842421946517,1.9063864213087784,1.778053219498982,1.7665610242690695,1.544101568164966,1.4957338659558523,1.2909793677989043,1.3564678097614575,1.2110654899694482,1.2199090741849734,1.0347188475661777,1.204700527427141,1.2314784157847178,1.366491551637016,1.2815832706278356,1.2832178247375694,1.4847708331410863,1.5092565006929157,1.1359340090444388,1.4010192332822324,1.916567353054793,2.0792537915503018,2.271563911408594,3.2457249979677663,4.964166635343614],[1.3329589951595762,1.313524646725247,1.397605380362646,1.1035753339130547,1.0084601252188994,1.0382047307263902,0.947663242990007,1.0107838966287879,0.9242935862742153,0.9396834820748643,0.935499973355553,0.9985363283351465,1.0251518720572277,0.9806502773453438,1.0468432346787684,1.0942784050254484,1.1226592788316256,1.1812703055150435,1.290642018733033,1.3549013564055112,1.4575416100573917,1.5940667513953677,1.8488116537345418,1.9281516829291867,1.904863190110104,1.5069328447502945,1.3892231625686584,1.287470388237888,1.2405438994765716,1.169147045282466,1.1641497664633487,1.1523484091734302,1.1759563046530632,1.187463531105738,1.2209230198075878,1.2359364299338602,1.2810454097085089,1.4602978579178694,1.484311636548628,1.6622648328739946,1.5852958085356528,1.5274795854835175,1.5700711633873148,1.5820855248128933,2.0616722921108024,2.425809636015291,2.7103822089736185,1.8703614522667331,1.8235011563841157,2.1227311150463835,2.0805188733459374,1.9531210384654383,1.867959126106214,1.7837858948922236,1.9230586502722993,1.7696089935092407,1.7042000140243452,1.6149081699978958,1.6173145394884156,1.8779364736907318,1.7695358275554098,1.5702852484422258,1.473470072829322,1.6336364720299283,1.614210461727288,1.5142321588480825,1.4722677000222644,1.2926013638772553,1.253626691552586,1.2135070162296948,1.3041356449429202,1.513068438598024,1.2492998288793222,1.3287274841433816,1.2587215652127741,1.3938988045254408,1.3461434305899787,1.3102732954951644,1.3846754544441346,1.4430012882999779,1.403609957213774,1.5351798380444666,1.4474676111765536,1.4559349866558902,1.3831791758173606,1.36691714327507,1.4124977251184196,1.331035477238806,1.3234645247640793,1.2993320455641784,1.2386388985667884,1.281587634076939,1.2239742793006705,1.1272952996565344,1.1085068938753087,1.081394549342855,1.1475562236553367,1.0457707473457862,1.0041642690937953,1.0753523762986308,1.0576857283704557,1.1766662116102848,1.173240152099152,1.1850223895919076,1.6307445386912374,1.2619497409374691,1.3350055847792617,1.3125080081056817,1.2289728435208014,1.2362537343298912,1.1517254347325006,1.1305637549083778,1.009791021131521,1.0549375281729114,1.1199774481518434,1.1497523651867187,1.2067023363825404,1.2465228496343292,1.3323294214885983,1.1283063525841612,1.086013623309235,1.082340656699505,1.0815277104129066,1.055543912930482,0.9584082831741398,1.0415585058939696,1.0286615148410745,1.1183196633932897,1.2569617712203998,1.2868782546804345,1.3785313176262666,1.4032910399367566,1.4523528419948186,1.4095754882005394,1.3929289520790373,1.384132746145881,1.3459472514896464,1.238358084634981,1.197903237822232,1.2672603487528904,1.3488088497588884,1.5427529575888563,1.3805167819180602,1.33319443547516,1.396382570198936,1.2720287277139268,1.218254527259504,1.1344255344661955,1.100950169783532,0.9876442892873558,1.0812505751427894,1.0473254774681313,1.2215670684613973,1.350565237290096,1.0724605514812668,1.1258389540216711,1.049922402621472,1.084137331714223,1.114194257046597,1.1867331439293562,1.2545954816597258,1.2996047649359326,1.3698542348445695,1.4623173502072524,1.665255471421611,1.7802644589573604,1.7688383648947408,2.348644838489879,2.085253786218063,1.8396930415673116,1.5541652227786367,1.3747737403791722,1.4216390355083435,1.3753414614688924,1.3081532626661012,1.295832249617902,1.2303323859441115,1.3277566397442158,1.314800115060661,1.4019527159360856,1.5716533432442217,1.355342018582907,1.4729751838779925,1.603291447886344,1.5733217701215576,1.538955439273442,1.6617022111927726,1.9536835790086182,1.7823765128092917,1.7645702163375683,2.005546955768403,1.7455109555675337,1.8853519555071856,1.8077934482745155,1.7270730438915283,1.8183049881346636,1.6050959914203247,1.4978173093046576,1.3875091590795379,1.4124503311447514,1.4740316748812534,1.4355252444044717,1.348367487595797,1.4811389937936854,1.6195089339052366,1.5432102740089106,1.5419091333066517,1.8297642128590892,1.8412202097195856,1.7848989416369123,2.0059099220957357,2.1970530732030635,2.0202754634276805,2.0772565908770084,2.3831976413405394,2.3583982832236963,2.5317498603034436,2.499348703356426,2.2275849300102375,2.3454796601086665,2.400425495799184,2.4628525846001574,2.422196885299716,1.9530368689714963,1.8917913697970767,1.7504791113923737,1.677117422894988,1.6958653999659365,1.7206994483353313,1.6575013253795008,1.6050710002752666,1.7108406259312054,1.658208021195777,1.5982172765810416,1.7392385565931052,1.905122162161181,1.6777139426270002,1.7244671792870636,1.4887584969517191,1.5311292818305668,1.4847184477326822,1.5385589952600465,1.5025744733737383,1.6629045723811011,1.486104082559601,1.4619360323707324,1.6261404002122057,1.5585073032893086,1.490278753396012,1.612813532723193,1.7230156986362968,1.733552396401286,1.7761867750173868,1.9233689834207757,1.9818317450143623,2.0302291276179596,2.1218023422679613,2.1926456373743304,2.1171956969972707,2.002055171396661,1.7978110484903316,1.8511509378377924,2.09826263154321,1.9318136847703906,1.7960565236008166,1.9718652458302586,2.017144807257874,1.7519703700271942,1.8860703285783784,2.1607667257749568,1.90426349412254,1.7278658719384024,1.9333456050797597,2.135819960959902,2.0122740120734,1.9923722891642452,2.5670441189935063,2.50835383294758,2.698903660420085,2.304789386937759,2.005558624851821,1.8110117801966492,1.8143476798146376,1.652659825100719,1.6521311137271049,1.35198485497659,1.4344188298102067,1.3249566429697397,1.330773606694613,1.2022839788343433,1.3241501600476517,1.3953782953624776,1.435603127310807,1.449310455893469,1.5503174069256203,1.5343648991996834,1.5197791913098733,1.1499730708905078,1.3249784440651922,1.8247047111560786,1.9184653410721344,2.0795231290144023,2.8086354753298184,4.449631951921395],[1.3431033582900727,1.3131812115019437,1.376397970664743,1.1265848717337243,0.9907152006064427,1.0239133797484115,0.8861515192794792,0.9436231340640374,0.8736273219963593,0.8251600977032376,0.82073412147312,0.9056008873680729,0.8638903144839247,0.8287871083111181,0.8797989903718008,0.9008352137706428,0.8411834682134588,0.875909525820568,0.9966920900465952,1.0167010894812445,1.0569233802715432,1.2258594383238175,1.4016442879841249,1.4981958282473227,1.5321759737107405,1.1327817278596977,1.0441642350225318,0.9737098030192268,0.9372712317592716,0.9368402845179129,0.9116602279457808,0.9567938919215611,0.9909035765326449,0.9527698221574779,0.9809275170470836,0.961185859671458,1.0190194736273361,1.0910374382433994,1.1260702080165081,1.266681764245386,1.2079964354704833,1.1664554289457527,1.248770167290747,1.3954185072117942,1.8594197979847524,2.3244301454602483,2.5761625956367475,1.7430845984921022,1.7437102224221843,2.0498326453983973,1.992118658968296,1.945276848969877,1.7456602477396244,1.4962472437271672,1.7014515697621861,1.5980913587931977,1.557059147597771,1.3541671013983871,1.4089997426301486,1.7582687074826455,1.4616247588924627,1.2408111302288936,1.155710112857983,1.243662842447233,1.237761938832621,1.132687707238457,1.062971365117118,0.9489867866422792,0.9434902753763853,0.8939193753584415,1.0035097274323344,1.2545680636234287,0.9556458895801369,1.0519520428058213,0.9383280248741626,1.1989345498875261,1.0140915328521756,1.0001777535667928,1.0614202972614202,1.1477219545434412,1.1381796220566802,1.233823905408542,1.2639374609545766,1.267351797138533,1.1670061279473183,1.1106626263324293,1.1136179778578679,1.07584175866962,1.0147792385859515,1.026119105858087,0.9656999846545986,1.0862712382252722,0.9678890382782744,0.918740882724884,0.9165060395127977,0.9232496373816361,1.0067130244442508,0.8870955118298129,0.8849428639982635,0.9800219256940268,0.935456963096736,1.0790882226615717,1.0230428351207217,1.0485939321546156,1.4177624861598075,1.1270192338368183,1.1968413925798358,1.1668892073394186,1.0982814198007715,1.1085025940542381,1.0653013407398253,1.0169186876969325,0.8900744974514521,0.8624011262792305,0.8597008923606463,0.8700209112355134,0.9299429820401278,0.9501618267595894,1.040741280811179,0.8429563506102825,0.8101103481875679,0.7955230291573678,0.7881140069718677,0.7901795392961766,0.7891879154587949,0.849248984465953,1.0098429940595595,0.9594689943249942,1.0657759000815061,1.0898885168397197,1.1909484093182856,1.2160306829416787,1.264094631892742,1.2162074583986044,1.1955814125473259,1.151499882665365,1.141952174225775,1.0135986039653155,0.9551763832136052,0.9974686254931807,1.0527868864676924,1.300126560426599,1.0736380058884782,1.0335674233732244,1.0868147739311609,0.9974553466998335,0.9666942276806518,0.9401426551987676,0.9250477990960072,0.8651306386859645,0.9736062896903176,0.9710716631053222,1.1354816593262311,1.3584023207300997,1.0366890132669007,1.0207737872003628,0.9337123093049049,0.9582005249310772,0.9623924748568011,1.046316355164723,1.0500004385933688,1.0508395399217212,1.0905512122594199,1.1690900628893288,1.3540439888263482,1.512421337985539,1.4810003746791178,2.0431771966770107,1.8600074231433674,1.5730430494955,1.3136171042735911,1.1369425306574175,1.1882360754170689,1.1591703263679323,1.104077741738717,1.1022703588039966,1.0630892109402814,1.1609319603764214,1.1298515094925607,1.2013667299503201,1.3226181221542461,1.1540546235303344,1.2659467174559567,1.3986136758669954,1.341520808666478,1.3670270188887343,1.3203319574276253,1.6604362048447978,1.7436420941945978,1.7269244458187807,1.8384302047660794,1.5119835778745492,1.6810675684777074,1.6130936713490243,1.55102921786461,1.657158500870467,1.4365381322859145,1.370319564486361,1.2629669850466185,1.25811006780498,1.314498685768973,1.291012061604036,1.2226006660144266,1.3520800432548365,1.4823320421411261,1.4429612518856312,1.467060310451361,1.7187095283570717,1.724425515388508,1.7134783216259015,1.9307252134409838,2.083148105722296,1.9418340415456337,2.0311134328565874,2.2683583623006554,2.2848726390518235,2.377609772254593,2.3105654449492588,2.060686547913007,2.146120776051044,2.144029560251074,2.229241415095398,2.16099407213085,1.708621322544534,1.655994165184782,1.5275027223408453,1.5021345964587727,1.5038577987485882,1.5191099305438347,1.4711544644954564,1.4477171703818381,1.5475340985833923,1.4874921469677247,1.4578428819187201,1.5897829162253745,1.7803854468044202,1.5426971453931855,1.589422554833111,1.3643557579585577,1.3691735472075546,1.3635622678702208,1.3875723777175306,1.3679060510924799,1.5132789588061075,1.354693863707603,1.3306415205315023,1.4753449254814215,1.417821385912221,1.3634022104651493,1.4859768361744026,1.5966675884140145,1.6268348374653427,1.6733382350929655,1.7910651320021327,1.8596055781287912,1.943697504982975,2.0057063957551486,2.047360768967434,1.9583863965027153,1.820736770879307,1.632764157944084,1.6591925176552047,1.883309727733638,1.7695430139307389,1.6095674213129252,1.74421635004853,1.8010513372493069,1.5706132330037847,1.652595125406187,1.8752266027151427,1.706391217653531,1.5566234183062801,1.6782332177858725,1.85344200098571,1.787517851096042,1.849157991867953,2.3364928279234287,2.4154074336113758,2.487093914573087,2.2680595803626042,1.9326647031785638,1.7783525729322178,1.8187386173192106,1.6196498910780424,1.6061072112752801,1.2502215016614722,1.3130401513893268,1.2149556263219912,1.1860545846815693,1.0774689821623706,1.2141450242783316,1.2734069772896353,1.3311792713953732,1.323337244711434,1.4142670769037993,1.4719327355265588,1.4666225352895756,1.0718946423847744,1.302667571968016,1.774592138005385,1.8656002304535582,2.049586653175373,2.731676457289287,4.332174686499155],[1.4492336801672214,1.4881184273140668,1.616635144895428,1.2746426352419808,1.1838120905354457,1.1962094543906108,0.9978936613350984,1.0605808012413869,0.9723465864078202,0.8726791582489134,0.8623179032527306,0.9804875575099223,0.9088941444720089,0.8327180097613783,0.8741865789764441,0.9272529986419512,0.8295999116704746,0.8707345051823211,0.984481886113673,1.0120185940989712,1.043219533417704,1.2489583821471995,1.349835504679536,1.457352395210577,1.4687338202551736,1.0979786379525363,1.0500292055234977,0.9802138303027921,0.9498082665686759,0.9604878423961056,0.9094234008674028,0.9977999575752681,1.025628847267657,0.9848339931320866,1.0195581745886257,0.9780174474300001,1.0488252080208258,1.0858175826332133,1.1363322641434022,1.2774958121269948,1.2252853991525836,1.1798724732982613,1.2672303768070168,1.4353610683073748,1.8856654707372513,2.37073149852917,2.583890749473773,1.7775830947851639,1.7978904425367104,2.0906175475872684,2.01790713100972,2.0343891904593097,1.764887020387763,1.5250050674779356,1.7273960297784017,1.6192094778182302,1.587168181815428,1.388069523000591,1.4431092797379848,1.7778593158072782,1.4781640789082258,1.245308561997739,1.1516282401204059,1.2534881321533693,1.271085727826022,1.1283617143700202,1.0493373688196619,0.945982221871572,0.9596264110210978,0.8834442968379973,1.0047748810720376,1.2489161118582242,0.958939976674276,1.074741117262333,0.9382068622877998,1.2214011970678573,1.0412564367999173,1.0327560202133255,1.083385777924909,1.171526038281764,1.1680337787516348,1.2626320023483413,1.3051483359845784,1.3353968654907349,1.2538695122330001,1.1630458991555068,1.1375123771507378,1.116061754461637,1.0342712948060917,1.0611370660127055,0.9728757874334264,1.0838298351850617,0.9515034204334125,0.9249164654757428,0.919808388442419,0.9106469764583517,1.0011600288939966,0.9173047639361731,0.9495806102695142,1.052633742590909,1.0229831768172797,1.1965813990552046,1.1246301211053435,1.1769924235463747,1.5730916587150738,1.2511165860283366,1.3187820435336521,1.2966333044270943,1.2325484683089016,1.2321877823000909,1.2158146622778325,1.145166288065712,0.9891845625611064,0.9201207289839113,0.8796855685252057,0.8856081576016945,0.9411284776600864,0.9429552929437974,1.0102134067006108,0.8500003907141643,0.8190343538079197,0.804336980235385,0.7833395327909817,0.7595755682851717,0.8164257363908097,0.8849779890075937,1.2086421298088807,1.0490878234246637,1.1193137704258667,1.1699356680688497,1.261786237379416,1.2947278448359365,1.36168546979893,1.3064913327254715,1.286361317402454,1.170732499528792,1.195222361151409,1.0473426071450074,0.9897912837416732,1.0260956745398226,1.0520848425131675,1.2896185179776516,1.0831911155246865,1.0530365208051773,1.1075277640873824,1.0265520998355382,0.9978410522034415,0.9948008070343565,1.0089828019140556,0.9677863808776712,1.0805116877056284,1.0865630179836447,1.2573915965829245,1.5418679826214459,1.1812145730584145,1.1175346744143668,1.0337198397553704,1.0733562236648897,1.0620057627721466,1.1691555106289235,1.129036407895664,1.0946973584682766,1.1211095996296465,1.2119293016750594,1.405020174123241,1.5618616311204703,1.5562064190369083,2.116182040837635,1.980532904280061,1.6299765051046864,1.387067607077182,1.209558462882953,1.2720948023211527,1.2417138442492124,1.1973293001757426,1.2088307833560819,1.147272039085954,1.2494038938463634,1.239011384080399,1.2847013737047925,1.3708954129598145,1.2532696190833803,1.3539096441641083,1.4885515774057374,1.4350003296426599,1.4581217098340307,1.3450386307294553,1.6890198239523802,1.8323106827890858,1.8426597201048869,1.9411427968765556,1.5994875703020393,1.7798835017210033,1.704533165729937,1.6282134090058935,1.7143436104687426,1.4753740670499689,1.4332980689309425,1.3685613524468387,1.3208688616272832,1.4176892648089654,1.4143313570242424,1.3533756463557884,1.4994063190034026,1.6064698129210906,1.5878891513646674,1.6756982230700053,1.8701232739106155,1.8327771852786405,1.8557719485483555,2.086306286418467,2.1739924419134797,2.0388633827545886,2.150099946368648,2.3519908141647234,2.4219002046745075,2.3925187047552408,2.347544107261982,2.149881502915262,2.1785020350125883,2.138074243592475,2.190845193383513,2.1987786146162027,1.6342516780866976,1.6785982176429448,1.5786515897479174,1.5725646210971058,1.5735385134315298,1.553008480209329,1.550925053446269,1.5239623827473052,1.5806778891530382,1.512561273071299,1.4995971546664466,1.6104219279116405,1.7365824179537654,1.5568681500968948,1.6062770866745257,1.4725466676316807,1.4523769015357675,1.483951577503528,1.4995998423737977,1.473962140463246,1.5886990464949107,1.4520495083429374,1.4368962125859277,1.6009791484958633,1.5217628345568823,1.4640925651383891,1.5809367494507656,1.668963198226777,1.6880985977005665,1.7590568219307974,1.8486432215630246,1.8951998994901706,2.013213500901771,2.0438439479852093,2.0685075977665743,2.009331154495771,1.878980980146849,1.7090903674948688,1.7113897263949622,1.91820279695226,1.8592749267171154,1.6659061850652854,1.7838294246636777,1.8645554539710893,1.6499936914954865,1.661933867834234,1.9016918803713936,1.793826958417418,1.566084228027425,1.6242154968252724,1.801728310573539,1.80154403464317,2.0053053260037177,2.3023330357683935,2.523504790707075,2.486851344079513,2.497064094645563,2.1683697440786203,2.0299913699198857,2.220768310654622,2.0205809506064205,2.0900422912160854,1.4328746771017375,1.465918414101646,1.3522168961732872,1.2855690245311986,1.189607977340328,1.283706008970987,1.3426374485265562,1.4818658918038488,1.3585507846156095,1.3908851674314897,1.7017828662807881,1.6542848916054769,1.1653110559456958,1.5165199425478182,2.0410847602009294,1.9758948471866322,2.1477052876879252,2.57468155453124,3.980495007715626],[1.986419535657286,1.9777390587591868,2.0232040670469447,1.6634012390255712,1.4387413578690984,1.5431196040469835,1.2764786950439342,1.3450965822788366,1.2449606832196731,1.061511028145598,1.057229833687958,1.2190649143778456,1.0039692895952697,0.9380845016998345,0.9189208521978897,0.9332050139524003,0.8108883311560966,0.7968356355102895,0.8715429545635128,0.9157883799754705,1.0023810174897656,1.1633819418193745,1.398953314237932,1.5288276055474714,1.4823271737792978,1.0614926041555992,0.9450006937995656,0.8523019622326431,0.8437957243766941,0.9021073742904496,0.8842317659276347,1.0129946612189118,1.0805214861604233,0.9603367965551424,0.9746553670521292,0.9027332544329778,0.9772043279007767,0.9669391794503999,0.9995195020688159,1.1558943214307897,1.117472422789441,1.0757934749068774,1.1812851481725994,1.3221845680479556,1.7763855432381843,2.2487866089210593,2.4601031223755636,1.6525860048623355,1.665736584722324,1.9466738760990978,1.9376106222921123,1.8556966079405506,1.6920430829182795,1.4343252918205285,1.6559698398752856,1.5651395960673782,1.5385581461796995,1.3119043195394318,1.3927898810690535,1.6918357413342855,1.4568288087891947,1.175718489336936,1.062458678881518,1.2120471188101252,1.206920078671888,1.0516531205487458,1.0103240685382624,0.8594077422295094,0.8913183037329054,0.8560847098858645,1.0079271326807953,1.259538361053249,0.9305338239937028,0.9778076752447299,0.8833175848237842,1.1356215068158955,0.958940535836207,0.9618795099914824,0.9961414452506226,1.0719468191866262,1.0486729677544493,1.1447162137033235,1.211805455407879,1.2275864800338956,1.1008758963105965,1.0291135864840792,1.0102069528108037,1.0196311244590899,0.9463357015980315,1.0062343902723543,0.8993969857230082,1.0137433986159259,0.934310153289602,0.9279239717156647,0.9451902871369944,0.9683814409237885,1.0914972280205928,1.0182756087545748,1.1016333687690971,1.256426997148728,1.131384594042995,1.370201862739298,1.1573701708153616,1.2570675197007823,1.612869263054876,1.3104008532147873,1.3983366274653999,1.3480650946657742,1.3585708510321437,1.3373440034484116,1.3990851283522436,1.2150857681371892,1.1317656714138737,0.9369013381195866,0.9171542487658689,0.8397769634367178,0.863493718662063,0.8427852796475628,0.9147000807727366,0.7817019911041272,0.7948490356577351,0.8406736442649388,0.7946143550921309,0.8472291149358456,0.9742004663162348,0.914103538265723,1.3978088415751448,1.0897998560891022,1.1449951773817546,1.14458875985536,1.2155308987905078,1.254113710863106,1.2363095380842102,1.2253634478282387,1.1463596945543253,1.0346810427865125,1.0146097759262456,0.8878369399608605,0.8259445475880149,0.8431989511568717,0.9284213988659431,1.2138640141999912,0.9454789445789578,0.8948862966303347,0.9340822589866334,0.8739416407628359,0.8608717458239936,0.9360482340789363,1.0178030247319005,1.1093983929673774,1.2884864014449764,1.3622869520209935,1.550029920584736,1.9223949630021282,1.4621897266376638,1.3500959519326645,1.2007682697327957,1.248543188107454,1.124260776446911,1.20873249322719,1.0224723558933433,0.9758534078920004,0.9408834772445044,1.0375751661927308,1.2376965402865074,1.3758647633398087,1.3825961107887248,2.0450497693511385,1.8062880005382786,1.4390364634167334,1.1656029944555568,1.0090860074709231,1.0996564224983139,1.094152107531015,1.0768854855287622,1.1376205749532504,1.0913666599968987,1.1925047553918495,1.1146311927452754,1.176177272430857,1.2259717192458366,1.162716761912608,1.232637941722131,1.3655587956661477,1.2692895549998418,1.300517508093811,1.2267557448834816,1.6328556385674162,1.7240564852203744,1.663219756850636,1.7859054340153437,1.4452074585160735,1.61768266655354,1.5226379253869495,1.4921721990582824,1.6061118311975993,1.3994686340709177,1.429474285651569,1.4804561160241354,1.4623582440522533,1.7218474172610585,1.7434762814651348,1.6377032562911267,1.8824736533608835,2.0600658119678266,2.0216666046176375,2.095363586415701,2.384080215616692,2.3551605060729384,2.3342897901189423,2.5899054631993668,2.734852898837108,2.5609022455123593,2.624068417317257,2.875310743146399,2.9185784700249817,2.980426297151513,3.0070115061427587,2.765504250454962,2.7918590363155906,2.767284583484621,2.7066870923939033,2.771941292599619,2.2131289172789437,2.164531765596342,2.012737379190342,1.928383553612717,1.916880200530706,1.9320680854297003,1.924243229595181,1.815842866378235,1.8703019627787703,1.8429919127439964,1.7494996266744895,1.7489050273897273,1.938447231670003,1.813410298299108,1.6001954892954173,1.7109685552209943,1.572796230587026,1.6847679518126895,1.8227916423354353,1.7759943875417543,1.946041299081943,1.7566393786804406,1.7503893363519343,2.0380304122790425,1.930076402904333,1.8167415405715166,2.0410283319390405,2.1746505196483326,2.1816768432645635,2.259365914207273,2.38283638622082,2.439907511343171,2.5589334662300054,2.611222642285183,2.6564008947100644,2.5935323536910984,2.442258688303611,2.2108744735942336,2.2269591666888924,2.4978606674172945,2.414268741510294,2.160498342609696,2.3367075372367956,2.4581555247562603,2.1616025940514403,2.137230163667971,2.4838813554994483,2.385443539395437,1.9799602112002317,2.097665360191048,2.3473129445302185,2.4337782888696013,2.680962923295591,3.0717380600008237,3.196029211150262,3.182950857726074,2.9371714558460447,2.6608493153530897,2.428894991502305,2.466879357023465,2.3293918807328136,2.440023429786865,1.9298681806370894,1.9043999508769645,1.615197179709947,1.4507896500027533,1.3377592514644596,1.5694317801900084,1.6252592415363687,1.902895256565103,1.6643667222846683,1.673580290442044,2.122717861450756,2.1275859406206235,1.5974942028440673,1.977579864713205,2.576055765983411,2.610085065055874,2.8745499612560934,3.4773432230102066,4.928179302646095],[2.4713975572026143,2.528194777601012,2.6910836008220658,2.3079326838387106,2.181385783361638,2.2586640967798473,1.9878718480171373,2.0200502408025987,1.9440842284265456,1.7085523104783515,1.6984143513459027,1.8356712156640183,1.6013949953369695,1.5386532014993584,1.4846437799626486,1.476872987799766,1.2958419287865433,1.208303645162244,1.131078892271153,1.136662631579014,1.11251142716827,1.2368532567795585,1.3664549078963906,1.4865961210711365,1.437416400343037,1.1226341937871844,1.1098615617138226,1.1601806171937425,1.226575610355801,1.3786759604700853,1.3428671682193507,1.5195596041358577,1.5657500119586418,1.4219360233324365,1.4023076755679031,1.2917580493596832,1.3619837364539134,1.188105127440592,1.1652981453120217,1.2271767024405644,1.1793744246915117,1.162238086786508,1.2464272177902516,1.3793382901729883,1.8026742831090243,2.3014505966254517,2.480542611335959,1.7108129022852916,1.7272408459950872,2.0180757697893075,2.02163342701065,1.9488573168813172,1.7868822273889526,1.4910598037273424,1.7111404701211828,1.618400576953638,1.624891449536205,1.4356875066359132,1.4979173945928377,1.769004997904456,1.4403534468350168,1.2316290790747242,1.2052794972755274,1.2591320093169283,1.251861962466642,1.1539134309254215,1.1511541638091094,1.1332994150860989,1.1609460641938272,1.2258016998890613,1.307911446710914,1.497471269686525,1.2568793602189259,1.2492559883736265,1.220344738082031,1.4305863128479883,1.2274982789469822,1.2745740454998384,1.2596065802218892,1.2951787504687136,1.3196289290309964,1.3173943532415604,1.4715288986695625,1.4531177225257663,1.3330407433958995,1.3114006775733213,1.242328761641827,1.3550359407345138,1.2463943056783309,1.360060833879015,1.2860587439313549,1.3868138424388086,1.3461013290111297,1.4340439549831614,1.4631896588185176,1.5086567345651434,1.6091757962743403,1.6001116089229286,1.716891004959402,1.8582300422086555,1.7073877569568607,1.9250547989001068,1.6597893550930038,1.769682329183389,1.9704530013743122,1.7665761091382417,1.7991207579862278,1.7194230952166227,1.8275771113828891,1.8533554956295488,2.00659280922121,1.8029780489128584,1.780815905788403,1.5285148063339835,1.437668781309211,1.3010229691742894,1.255203243272257,1.1320658509501358,1.137709054037691,1.195696779863131,1.234890404791183,1.3165387510335786,1.2452339346786083,1.3748275610621594,1.6247503725938865,1.5328652568684016,2.130466159625185,1.676015655890046,1.64004928490994,1.5350624149434662,1.5415344458132938,1.488218401379377,1.4103591432422404,1.4616051607843024,1.4093530124647853,1.3657662289009815,1.4013859987018595,1.2984466258431788,1.232974351558185,1.1714898788581212,1.0829404250220371,1.269905455518868,1.1161757788549196,1.1447986380430522,1.136606953607597,1.2309480890817406,1.2797467686525572,1.457016343195388,1.5747625234765932,1.7513806539724563,1.90329282928927,2.015112520542639,2.117556353354502,2.489313279181366,2.0948452658374377,1.9487553343489965,1.819299062965156,1.8459600711724593,1.6830472545707515,1.7267699938492054,1.4422680138965176,1.3356428654264871,1.1900091285268886,1.2304695484801422,1.2978413813453915,1.3898574823400045,1.4258234375965717,2.0602725386172676,1.8502348185880346,1.5036994776962982,1.295622012314759,1.2929694680210972,1.3403102628381045,1.3794333865572337,1.4175669522705756,1.5222390986611258,1.5299847020165704,1.5631387016782483,1.438118777129141,1.4607624709487075,1.3670704113205503,1.4888463154551947,1.4153687757084945,1.4722667586601275,1.3958424253735908,1.4219999767829887,1.2933329956193091,1.6692510874737037,1.796210276001653,1.7427753836918993,1.8171830318968096,1.5041887327876984,1.6770726713293342,1.5988190550726136,1.578280006856551,1.68059998293422,1.5211674905981698,1.5898728714251822,1.8039108863737465,1.8403289459801746,2.025493696514687,2.1387885466103826,2.1479145394930326,2.3529465158319374,2.420170356051394,2.5007728895338515,2.678109600472398,2.7739326725834084,2.7045468189015587,2.8049417288548915,2.9958947079838607,3.022410022958479,2.939527478798704,3.0221272346411063,3.1400147806473937,3.210897575258509,3.084508030431167,3.047018883490029,2.9295092910557377,2.8754742638837008,2.7110243682377386,2.690121312914889,2.7388455476581344,2.116104683062677,2.1655094032639317,2.018353684984281,2.0379939631875605,1.9051969572775684,1.8793755977435602,2.0240788104053897,1.8477408159342048,1.7765750382433185,1.7522409415894902,1.7562770855715963,1.7182527531910905,1.8035080382125313,1.7707581681832165,1.6326725668866189,1.9116995430237596,1.7596091032534342,1.8304947395795772,2.0223094153776784,1.980006483868086,2.107725465394718,2.048244856498321,2.073141163563876,2.3288669064330487,2.256851619494249,2.2052310335200387,2.398106962955591,2.501405907431654,2.53921357389982,2.6393143447677065,2.6450357948045453,2.7128073807709896,2.9083089741308217,2.8602478870418753,2.8275971372599065,2.7756581987113345,2.6009935028550166,2.426638218429334,2.3251556172528245,2.5692274284398118,2.6346020065625604,2.302254700227057,2.3811825211432023,2.560080067917274,2.3579733760848223,2.1165761520687156,2.3880030250704833,2.519237672079702,2.052267131079485,1.9422615988575065,2.16965704726506,2.3877973153411554,2.9018497813285977,2.80469749064601,3.1392723631134363,3.114269231194346,3.219908503161771,3.0902091225668373,2.9852714364750668,3.0897050538934487,3.0584715409433954,3.1796323457940177,2.7693247128850254,2.478584698692106,2.2736249219611895,1.9813236265800247,1.97511562315297,2.1998638807993123,2.160813390002829,2.4428512418636226,2.210054090952734,2.172016354344939,2.7566245560468294,2.6910693232375285,2.2070533750546946,2.6078708240972217,3.205070217381318,3.048534243127885,3.2491789644886095,3.5786846696128247,4.810296009670717],[1.6564652833473779,1.699561483193706,1.822653951233926,1.4031664052047081,1.2616303470579329,1.3033432741700868,1.0345770071705913,1.0932861204474087,0.9897736089116728,0.9045232854367476,0.9048098411434543,1.0045003219269806,0.9586492323524128,0.8898017156761554,0.9456091944563881,0.9818665467040866,0.9905689199114784,1.0505678809612777,1.1934963422629619,1.3049763012584705,1.4454601221710537,1.5698542449717308,1.9274399073075559,2.0458054165089417,1.9502451912457475,1.4784979564810634,1.3514455265120706,1.1695335397291489,1.1219298854387587,1.0819919172705381,1.0450902439426497,1.09835113436787,1.1534966281605816,1.1453989925985648,1.1722580292632647,1.1820562918735327,1.2127423379798303,1.3466947035534522,1.397033695030945,1.6170509389883394,1.5662306818042573,1.512637009864966,1.6157676486382264,1.6626124282768908,2.082865198521974,2.467043638113909,2.7572318401230973,1.964048581288501,1.9366987745169828,2.170390428363421,2.1531495763367343,1.9809696930991811,1.9334929701597068,1.8174087444768932,1.960863447787865,1.9082010262660563,1.8501795983666356,1.7079657041895338,1.7657732126839354,2.01707366261819,1.8424130983625064,1.5826476305291477,1.4798689178565587,1.6213096520432573,1.6134221658568435,1.4842552770833735,1.421098016753726,1.2210908356260457,1.164906846464725,1.0723452297944407,1.164958835378253,1.43343999148691,1.1218121557372462,1.2442801256507214,1.1979870764085863,1.3524571749851575,1.334636272892205,1.2866034154323558,1.3498743618928983,1.4595700189256446,1.3922396097949192,1.513409869328063,1.4269814535923564,1.5049962019211593,1.383481957558999,1.3256027245957596,1.3656967788090872,1.277037530722482,1.2833330503195333,1.2687246911001655,1.163611047212833,1.2539112670897894,1.1204111182340604,1.0434169160018312,1.0128457911917799,0.9917340690499751,1.0779595453322321,0.9812695298125671,0.9556187213567365,1.06141787247443,1.0354431062535072,1.2177159974329408,1.1515840039024048,1.1842266303844282,1.6089156171924346,1.2636564167096747,1.2882571458635979,1.248385795422647,1.2654155232778879,1.2499765921687354,1.2379466927890683,1.1129185416109215,0.9810837231536793,0.8845542202229862,0.9305630449882069,0.9345380657222121,1.06282540181014,1.0866929295356003,1.1823208247066346,1.0246787964845119,0.9478335575047597,0.8666608855563264,0.8301515689686201,0.8345114398139486,0.8383345960387988,0.864838032434294,1.2435748983958035,1.0155440051314018,1.1330113252650733,1.1732305102662532,1.2365300848817329,1.2595122390218116,1.3051347066296346,1.2976443817226153,1.2846054145922399,1.1821275640262816,1.1197669406378679,1.0041549080154788,0.9314222596088155,1.0715768996531418,1.234189286502094,1.5599121792462014,1.3026813764200111,1.2020271738095385,1.2784877564951076,1.1418896493276829,1.0654848400687755,1.0278261250059821,1.0090152226065248,0.9728635745818561,1.1041970881798568,1.1180270007664521,1.2714120088916474,1.5278373229257463,1.190745222106168,1.1308981946173726,1.0233402347633362,1.09816217479499,1.0643115179610299,1.1441019105361279,1.120511028857474,1.1873381560324048,1.2353017975213831,1.3692975439770452,1.606594989287442,1.659978840905921,1.646231275337272,2.2494166824702586,1.9012333261758039,1.5783956009442408,1.3380847230039765,1.2691573265006029,1.3248203229464603,1.2909575274503002,1.2379821670824454,1.2159613953794817,1.1628522678352256,1.2367730475666716,1.2525328867289605,1.3260448080324314,1.4758457880614493,1.2615934854959736,1.3782715044003229,1.486911384371976,1.4773386171886727,1.5469056468761726,1.664055136312256,1.994027254527076,1.954785694470586,1.8018155871352153,1.9696577735670566,1.704275776954842,1.8201968440489906,1.6884325438744174,1.5618708594379889,1.6316400985651605,1.5257213754328969,1.3949813335145016,1.3980513155696375,1.3709772077499893,1.58529663824483,1.5380802717912325,1.4739812455069212,1.741888167756078,1.8335276045255122,1.7676746444462346,1.934394803030819,2.1437640709921415,2.0328009381923606,2.0314185644436127,2.3059304476688225,2.3798977890406703,2.1891187672934285,2.3117543319068647,2.5611121588154333,2.6565537158857175,2.6140638682287802,2.723757220127,2.496510860423799,2.5031108611530053,2.528761513073256,2.4976762686701837,2.726222804909061,1.986940027898724,1.9830899168529035,1.8339971530690002,1.7425592634417602,1.7205347908426885,1.7809247730566105,1.821320724354815,1.6248780665102365,1.6987812520966008,1.6888579496150078,1.6148280337858325,1.719061798599889,1.8752506882503055,1.7889301692266768,1.610816611878621,1.569811344382957,1.52071072695047,1.4618723654963102,1.607132567609701,1.500665462709348,1.6107605451890676,1.5432821435828932,1.5416500383028628,1.7663826545065724,1.6260005321557283,1.5558391757656114,1.7437057012696582,1.8137980608993274,1.7908637328746027,1.8912232760704988,2.0125485890221286,2.0246721652217134,2.138680315684501,2.2191790843404813,2.2627540330471305,2.238161143805004,2.1082615790048296,1.9333911778490118,1.966723332445692,2.2058132913700415,2.1403396662433636,1.9623545854153135,2.1501657506099408,2.2356044081129145,2.022868237140789,2.073240936580856,2.374502558516861,2.287051458176613,1.9967315289546523,2.1021082464195566,2.3535797375230474,2.4093237762631876,2.5784464268604013,2.963026294912679,3.054911896094404,2.957240820734194,2.80494418970234,2.4859138531810645,2.2737863081798646,2.5360255943238377,2.4102163213379684,2.6151599582106306,2.1137544280369256,1.8944225009944713,1.5668053724978392,1.3788206088673902,1.2456148779253775,1.4164021665712874,1.4097482669320143,1.613696255564082,1.4312991609860266,1.4747865910156281,1.8769661128736783,1.7610505371464718,1.2487399135465553,1.649713757726566,2.224045120709021,2.0199731919087585,2.215430357578324,2.5132288378827696,3.7100669182787502],[1.3010579160277433,1.364187911040938,1.5586505216249413,1.1832431277547582,1.16007394869665,1.2073704783934895,0.9865055423071465,1.0336244962258085,0.9490223615719835,0.8752552873073651,0.8787715334612229,0.9584936055151208,0.8705769202717176,0.8439741168694094,0.8617984596580931,0.8488528111646515,0.7753523638181462,0.7858204193622753,0.8772345064547094,0.8971460015752023,0.9728672303851204,1.0947655981821154,1.3312571735851608,1.4393686155227032,1.4205390471989996,1.023526947658342,0.9259747367914667,0.8541729859789762,0.8299365393651359,0.8590013469885426,0.8400045780909743,0.9321459915739563,0.9963168807710784,0.9038479474916544,0.9221557258258753,0.883928171276377,0.9275101767797618,0.9335238005262094,0.9444386790041565,1.0505726630011585,1.035322509788299,1.0154870639462625,1.0873608257588006,1.2298113260860701,1.750607503530421,2.2834230144477123,2.4747122790853737,1.5898707315148701,1.60539049001642,1.8882364334372341,1.8339834657391894,1.7607912028472779,1.5263432067024194,1.2953929391007346,1.5030099344366783,1.4030296896578012,1.4029906933857281,1.233084272999112,1.264317812547968,1.5885477236685903,1.3334129907297094,1.0935877964672565,1.0133655735605913,1.1370003322186533,1.1068573020879313,0.99807205653432,0.9765706771797612,0.8427284200600658,0.8625657070556709,0.8075301846978795,0.9405480655011771,1.2091350734944566,0.8635100809471461,0.9520437026958538,0.8637365728425845,1.1235328750659055,0.9283776845354844,0.9101574350987186,0.9442518750427614,1.0127422681739113,0.9907868775346629,1.059066954930363,1.124989525811101,1.1314625424674412,0.9824399338010393,0.9498145203644996,0.9604656086019973,0.9646546642103095,0.9086997732792464,0.9613873337078033,0.8687749959047059,1.0097339221831856,0.8982087886240117,0.8885954097650213,0.8916148668104886,0.8994748909480029,1.0166671146004496,0.8748507594418076,0.8828298806515558,0.9583826521440518,0.9138776256208725,1.0729294806311602,0.9858915678861031,1.0181609493653496,1.3954577052994663,1.0810808522690867,1.0968439697227674,1.0467071190560924,1.1071706302050575,1.111453924241202,1.145124587478428,1.0001379390509184,0.9047999410727524,0.7710436452129696,0.8021401674049682,0.7659817894545492,0.8375832019170445,0.8425040080587087,0.9219531435354003,0.7726378384167083,0.7472718248537501,0.7296012632242607,0.6882350449322273,0.7446658877145627,0.7960274433794171,0.7896106121412025,1.196305835836651,0.9166595035384477,1.0226015383668077,0.9698971842831786,1.04079056815898,1.0159152754117056,0.9738720110851888,0.9763963466106189,0.9511170957904016,0.9461074848704567,0.9553247530087282,0.8352394532758858,0.7731496537558578,0.8145135265057184,0.9373781930321645,1.173901385527753,0.9317891260474938,0.8804531000023088,0.9049049781305336,0.8464455388203187,0.8246554322310379,0.8522509813800238,0.8567129127611826,0.8886149414266605,1.0091881023516254,1.0376625988616417,1.1711114623138108,1.401357559139617,1.1152435894491903,1.0277294989266976,0.93889789027496,0.9772735394525214,0.9391501886974611,1.0061825531975837,0.9073005042336483,0.9031336385096905,0.899936069108765,0.9673120058582574,1.142801688920512,1.3010929712706591,1.2454878684956192,1.9009184509971453,1.7151975162443223,1.3788272667879504,1.0336161300999434,0.9590687185957398,0.9765282036207424,0.9623386167205642,0.9359143179130179,0.9525909491224797,0.9493216797884636,0.9828512743149412,0.9456649858906041,0.9856741854433136,1.094024108960023,0.9712366188070796,0.9946654147531737,1.0693860164804212,1.0500316536837941,1.0979229750386479,1.098382540108845,1.4673319040240225,1.6082422370896385,1.489645229354775,1.6005636911995238,1.2298130140132983,1.4067760965202294,1.3283971077079644,1.233940905619338,1.3600373108952053,1.2665854301897856,1.2012062224383124,1.1935273754014983,1.2499448055746818,1.3419504642978433,1.313738568583956,1.3023112657701807,1.4690804964346227,1.497926942414014,1.5125985229014896,1.6706095543011865,1.7426124142685047,1.658595343889998,1.7180508028104964,1.908851296543169,1.908739084205423,1.8159444023547282,1.9592207792469085,2.0434432063577876,2.1772645374494486,2.043840218716499,2.017342538096981,1.901843576598419,1.900234604063228,1.837226498119265,2.0055658826087734,2.0812718894068856,1.4732187810722401,1.484417511555161,1.4028345841690504,1.3855757622618365,1.3439854647907545,1.3206706441596072,1.4226796859792397,1.273943340314419,1.30676427451278,1.2351188164468414,1.2623002254490396,1.4537965120481329,1.5220951392478856,1.3801073555567185,1.4732343671966295,1.2364103383323586,1.3220058436510695,1.2017614517447857,1.3001740497094745,1.2302885068667404,1.312443065668845,1.3391844438039835,1.2946446499622826,1.4221484293392568,1.3541612273559847,1.3483422919238754,1.4384705198640237,1.477025969841268,1.493133426359013,1.5739528095126454,1.6226328954330864,1.645816632498458,1.7860163487764988,1.7973655316475299,1.7908817155571208,1.7558064909796374,1.6443454957252859,1.535998999360855,1.5156851958420003,1.6714756170406655,1.6720524220228592,1.5210032448821764,1.6012688708368432,1.6671349223891754,1.5433795997039594,1.5396398632561166,1.6957339497154778,1.6572534053679802,1.4836945062838776,1.5202040401423633,1.6624258890455563,1.6954659902074256,1.8886155052048028,2.1976749853195283,2.353421399679198,2.109020944293737,2.2256619985581847,2.0093410424646994,1.9610561230050507,2.2530658749194195,2.1202197796453444,2.136379747749046,1.7156658871398218,1.5640590847336413,1.4575636683063113,1.2686566456836461,1.184857410771533,1.3144021554661993,1.2789228785208666,1.3826360911074027,1.306005882460427,1.401766962783648,1.6352452088993419,1.5133607041518407,1.1080135128550501,1.4088249039055238,1.8467534892269946,1.615819216177826,1.9434776297068455,2.164218594267105,3.0333116226445913],[1.142484858919022,1.2442381589569622,1.4159621981002153,1.055831127219761,0.9640648212219949,0.9629698819267115,0.7173244019380121,0.7455476380494631,0.6847722757026519,0.6127866271279379,0.6212190242603453,0.7020162561112222,0.6344214352442777,0.6132193997651286,0.6738919230439643,0.6710820454583626,0.6713291232292428,0.7000751259136031,0.8195671103371331,0.8660078174448764,0.9503340285523196,1.0768919132088854,1.3176985583063636,1.3933611411900566,1.4646831235052669,1.0267272362652868,0.8904552894045165,0.7845982852879949,0.7456755928350919,0.7095958286395112,0.7141092313953028,0.7419302163766343,0.7909475982088506,0.7420642742803913,0.7732009223483564,0.7782051951025757,0.8095188822040963,0.8989864227087452,0.9179783779222935,1.042996175195854,1.0321383180202486,0.9988874297381422,1.0678577380352308,1.1986410833280208,1.7726963490363852,2.2838904038376624,2.5189576022595244,1.5603583271540928,1.5878131052386086,1.8679794000080845,1.738300305222058,1.7636004950824933,1.4974115145384108,1.3302664643273974,1.5135717710759609,1.3863815501678172,1.3512940412875607,1.1791659928811422,1.211846193989012,1.5975323724580046,1.3850267697848406,1.1083231075341162,1.000133914122381,1.121081080214154,1.1247431483737105,0.9712000008172758,0.971046757230148,0.79755090562916,0.8197606842674953,0.74312918763669,0.8882326212635012,1.1592467540886753,0.8062148852480034,0.9041810588197434,0.7935347820193276,1.076913570379137,0.8637716583375975,0.8289547857558736,0.8795357729447635,0.9524924198547847,0.9053865785898089,0.9943400793902534,1.0620757465187878,1.0293923239583802,0.8778573157491584,0.8675008363015296,0.9055728395979045,0.8554859888608806,0.8288852594512696,0.8315883412404028,0.777353107509183,0.943030007952258,0.8030772569191053,0.7244861123773002,0.7176894909259466,0.7322388651287309,0.8415957976659145,0.6492495953276665,0.6262496808188341,0.7003023938797742,0.6513799658358371,0.8007774149260679,0.7547330435090926,0.7640932115724434,1.1534758136255867,0.8481355252705985,0.8700610475014784,0.8431270380778404,0.8449790085149071,0.8550232482137974,0.8531334909744442,0.7185987727495321,0.6201150253018122,0.5397488908178454,0.6197367307538599,0.6431889601283614,0.7336531869192217,0.7691282863087682,0.8709770111667771,0.6625304880272865,0.633708327726979,0.6070542050617141,0.5749453062623909,0.5718386620932218,0.5491072037561917,0.5409644389586789,0.9297733152343431,0.6709387064773082,0.8039039983030895,0.7967245523230849,0.8989808770583365,0.9164826094462465,0.9175443876375383,0.8504012358727003,0.8391118942752751,0.8700970605102913,0.8532686043831167,0.7350686074540496,0.6743418482695319,0.7538709659363385,0.8777152018561483,1.123131444673029,0.8925589074405297,0.8276499415827839,0.874640094744002,0.7610109767467423,0.7142529894572872,0.6720796262691074,0.6232235502166227,0.6134582820765109,0.7090073488965627,0.7251101004154763,0.8898458679991749,1.1539158164506789,0.8542761627534022,0.7333686617249783,0.6527378580465886,0.6806662022461494,0.6819273602603535,0.7518500337881454,0.7393413629261912,0.7785388108346877,0.855629183966577,0.9295031974592152,1.1819653845105258,1.3592813605268272,1.3194270460656836,1.9593302253080513,1.7590936262751928,1.4517571247917596,1.0600626265440656,0.8376666311911292,0.8629618719374554,0.8447714189624634,0.778947732112398,0.768051984567586,0.7552931657256264,0.7941859160234364,0.7874518280497456,0.8600148748310076,1.1082492990602177,0.822483891896286,0.9225263285589078,1.0389903954569408,1.0196229888660069,1.0504144611744253,1.1021975316531536,1.4535536385336805,1.5780636850681624,1.4354945704737112,1.6555621054338552,1.2815664994487697,1.4593989010319668,1.3660226248072724,1.2365901296536115,1.3470189752079251,1.217069379882446,1.1041344170026937,0.998011540297218,1.0580043839621338,1.0674024704719778,1.0224319605951562,1.0011317674976503,1.1481052155037106,1.198458066419514,1.217102181633797,1.382565015297723,1.474121616288686,1.395554900905996,1.4894030615475538,1.7151784686850564,1.7284394232182494,1.6374704458606435,1.8255721455094172,1.9651014650777483,2.057313266304559,1.9344306848320836,1.8972602180471523,1.7033058685307039,1.7206219576872017,1.6720603257041073,1.8840452184482976,1.8711830400369995,1.3025603037414524,1.2537568029551722,1.1732289606619157,1.142527356959116,1.1548892486840994,1.1480205045423275,1.1613572671135233,1.087278783100473,1.18768293309653,1.0880889404467204,1.093938913681287,1.3296403112629767,1.4050838440759503,1.244852530970069,1.4122316013032035,1.054767492833964,1.1563008701797384,1.0340189294723123,1.05640133812684,1.0317673646581793,1.0918526891638507,1.1157025418157058,1.0490446452725557,1.1614314410099429,1.0857129515034794,1.081548111524332,1.1475117027647972,1.2023692830677946,1.2282031534217221,1.3122445078837395,1.3750972225567815,1.410701281163714,1.5818472475620993,1.586953140602708,1.582906344243199,1.5284859096297612,1.4002241347021827,1.2603846044308167,1.262740007561149,1.4444255677795692,1.4088200368486943,1.2484992447175753,1.3642585763448798,1.43607224139434,1.26731554147512,1.3057266350454226,1.5400915279867644,1.42448265339161,1.261810829151177,1.355628680033963,1.5343088092848014,1.5182530516017645,1.6566878134086218,2.0785467129433024,2.2390720137554725,2.047374574524357,2.148404414695396,1.815776605758523,1.8008842100512172,2.2026117048995406,1.8864651803662373,1.850303443689324,1.2320505056512912,1.2036657894388005,1.1208064812527945,0.9938475586440189,0.9045209242856246,1.0298612640376064,0.9845672904026395,1.0564036063050093,1.049615638211388,1.1096477852675557,1.3485640356605917,1.2233953881964406,0.8181195163395101,1.1921302672415213,1.6098806717353042,1.361082096232627,1.7142474857380685,1.9148212177556945,2.8512376184839474],[1.0259674278655702,1.137875088858186,1.2681122928926574,0.9770594930103157,0.976003843719568,0.9801154203010294,0.7651241948923581,0.7621227670131294,0.7383171341093637,0.678266964060273,0.6848751740135182,0.7413252734125544,0.6603686271737699,0.6717348433999135,0.7081198001715295,0.6800475513435864,0.6389554110914794,0.6517557391418856,0.7494532956572264,0.7732440615501902,0.8365182012153835,0.9491069881235464,1.185399467389105,1.2500743006690411,1.3595980195418622,0.9146960183641104,0.7872425704420463,0.7177778407977846,0.692238748461388,0.6947915289097814,0.6879833491617598,0.7348280857474968,0.7800243308240989,0.7151850554972434,0.7410414591356007,0.7336419615514652,0.7813563613630133,0.8315316656353382,0.8367314136078444,0.9670237421961088,0.9263775818104659,0.8858913152683616,0.9459929377412584,1.1085532264066413,1.7057502969178422,2.2566694437115387,2.4458174357167963,1.476739167480522,1.5427377558333564,1.7969323782709758,1.6032961618670944,1.7525849362698736,1.3955717854318175,1.285511313989624,1.448189925160783,1.2738730121899644,1.231087198758977,1.0892739017722688,1.0943987711322487,1.4960723053495566,1.2531492877758665,0.9912231442208951,0.8987268126379337,0.9798898981683498,0.9912174211495277,0.8552051803054342,0.8663545462546757,0.7147962816365108,0.7633942287845689,0.7078905876037553,0.8529064603481371,1.145013142482522,0.770784201947598,0.8560408252256206,0.7346079109457059,1.0286563488552973,0.7912392049316306,0.7623713213151586,0.8074300280380615,0.8759702637074634,0.8500377553399928,0.9453245202766954,1.060771948668192,1.002825963739253,0.8445506171520083,0.819307907509053,0.8402288071864302,0.8095975875787638,0.7705902504836695,0.7843555436698768,0.7267559185633836,0.9031778584647049,0.7683950240047548,0.7177091141472994,0.7222639278656422,0.7502561987332511,0.8782606465123697,0.6608239126072498,0.6456492095230344,0.693237144355194,0.6598374683179234,0.7965874643354364,0.7624759907815842,0.7766181669058144,1.1311045815686045,0.8686202001074217,0.9183687444784091,0.9296308241633426,0.9115290680890429,0.8954400226517698,0.8436630724357026,0.7239288984369991,0.6410696504160195,0.5564432928459513,0.6215247166588366,0.6267972116706683,0.6950119971381405,0.7188342232356024,0.8108211968331073,0.6321487967758317,0.625436005261148,0.6178528623637213,0.5953636889495112,0.6245934908897613,0.64034359827036,0.5777350517760894,0.9249005076047734,0.7134278777819982,0.8816351322460324,0.8974397114260273,1.0514763776573728,1.0809122877169748,1.0586085913715055,0.9330163956197265,0.9299433576666342,0.9321242829905761,0.9708552128391851,0.7435566139134834,0.6121702550886845,0.6945739227944646,0.7974266723079633,0.9972549089185565,0.7884135659751192,0.74734401689511,0.7933384250675658,0.7063722716004537,0.6709146917224945,0.6650437915706504,0.6396125510907795,0.6397731605605421,0.7073497449129466,0.7324381388552199,0.8659356862613122,1.0790838046023998,0.8658932740797406,0.7312630905279072,0.6601563747768053,0.693102316597442,0.6940263038572445,0.7483423434432459,0.7420703346643942,0.744671709890713,0.8082540816251985,0.8789949441399112,1.1303375315224555,1.3172988836489254,1.3357239645531331,1.895030496260252,1.806833195221364,1.520692158134402,1.1441580327797185,0.8189198398677674,0.8392137660320376,0.8318636107821884,0.7602151800642004,0.7624261191582501,0.7453339139757078,0.7674099036864005,0.7591075655510453,0.8522619127219491,1.1318396572518157,0.8520360711722356,0.9629610026318677,1.0700447411375775,1.0405180094249513,1.0105245008605035,1.0402792299656334,1.3455812395133062,1.5271336916823883,1.3831555971029357,1.6580236446184538,1.3162075242510927,1.5193748646812955,1.469776789112588,1.3540026031163626,1.4631155033489633,1.3535689855348576,1.2585302349713026,1.0938756623137227,1.1994788673600643,1.0870510899037955,1.0091881858921188,0.9837060035519876,1.028055379247566,1.0364428697303716,1.0560848682364221,1.165680351717436,1.1966715990142909,1.1447801894758727,1.2421173292919614,1.398982256312394,1.3749838407612411,1.356080667245658,1.5445207943522827,1.609893700955555,1.7037833235147735,1.529828286384695,1.4527271446225143,1.311259601963974,1.3325523574097076,1.287269789876986,1.652747030349104,1.5687421809121056,1.2439700795013215,1.0870412987528149,1.08551705457333,1.1164254115415537,1.1620935680002737,1.0851382107911096,1.084272224780707,1.1118588282400947,1.2027718266182819,1.0629046290100195,1.1369167110614378,1.4957944250756927,1.4244380879119016,1.236341108003584,1.6239879178497194,1.0891985511217246,1.2756983031653344,1.124223993517276,1.0669221357139331,1.1026374998813888,1.0955402922104007,1.1992817833268428,1.0901229709332292,1.078384651420953,1.0576715684073288,1.0776751750233506,1.0233968217619742,1.0363071619585007,1.0616528376014414,1.0982777261505827,1.1328018373641602,1.148027448047647,1.3188929961928753,1.281420073717493,1.263293095741087,1.2141451989580578,1.13117962008936,1.0710661240805965,1.0812294878341413,1.143690697476908,1.1290623426056847,1.079871512271537,1.1153798181800125,1.1391474357343938,1.0692584632561086,1.1403056462383963,1.253083468123005,1.132491358230885,1.1134883777073692,1.1905525089822215,1.2906169511693206,1.2386770639324847,1.2897613340365472,1.7368114984188812,1.8914093500441804,1.5789907262581988,1.723677056129619,1.442688680187434,1.538425517281344,1.967609066516815,1.5613159449160978,1.4397573189599486,1.0215351431307487,1.0410565828898328,1.0520418562101945,1.0308022094634277,0.9328461529962826,0.981345037959993,0.9472749898992923,0.9385818428703303,1.1059268458668705,1.0812478373934986,1.153286649758259,1.0475962275600765,0.8414460044070159,1.0779899056377158,1.3460002212661482,1.10470778495896,1.841169043318649,2.1333488027255396,2.6106704965608296],[0.9626665418212207,1.0101185082250494,1.136523798214046,0.8916975320364465,0.9716029518161817,1.036898026441553,0.9360060536617335,0.9463718735373453,0.9385783839894704,0.9578326868836388,0.965688574465658,0.9901008229653104,0.9597768784399807,0.9785710290409315,0.9707475845231841,0.9355915270188442,0.8808821029893559,0.9079328267764754,1.0014894438106867,0.9597771880128224,1.0195489539035112,1.0813853196969705,1.3385025674731743,1.4108570647193057,1.413595710271661,1.0673374449677642,0.97624561758684,0.9561153352416144,0.9052130540544542,0.915921793187912,0.9235204364872756,0.9691263465881617,1.018323120629041,0.9613159713505539,0.9718287279717088,0.9483478029340531,0.9496939385006264,0.9295215040303647,0.9225579585411385,0.9582702796542361,0.9823145994951648,1.001141414016762,1.0194931514712533,1.2270127269930398,1.7290552063888942,2.3072169269337137,2.421080719704878,1.5662348895517084,1.6480575629703131,1.8485584332975808,1.7161709899972504,1.768760040965671,1.4320433014590994,1.2218565599888611,1.3959171794268843,1.2578425569045864,1.2741132575036833,1.166993838958008,1.1435965357765017,1.5046841748120379,1.1725818731125435,1.0261084679956025,1.0090421290470533,1.0655881791732398,1.032710579518756,0.9750431270381462,1.030073495914062,0.9346476780570272,0.9993889972212129,0.962770555986077,1.0969045880432458,1.3215863446783596,1.0195994846719991,1.0800970518354,0.9719884622668732,1.208848536896645,0.9744095029607538,0.9594963426682405,0.9609348740522136,1.0040671930619813,0.9679656076605032,1.0185711853818789,1.0933170333864128,1.0888900897823781,0.9697218525881738,0.9252159770799615,0.966034907711294,0.9780906794841198,0.9509040204983682,0.9948383817568588,0.9342142724866789,1.086327905474921,0.9745115274011633,0.9560338287198694,0.9591519868318873,0.9635386609401086,1.0688693297882927,0.907691877077366,0.8999041475670149,0.9112981244858577,0.9042559780515036,0.9763887654059248,0.9578582109622287,0.9192495793927862,1.2943895976373596,0.9612261669943161,0.9398682479128178,0.9189843606480281,0.9585789244574414,0.9494412278926554,0.9674224445411169,0.9133313531889348,0.8787399493926407,0.8439079893120727,0.9041483325174804,0.9326145303237345,1.0118459437472136,1.0339645267834958,1.076928908244223,0.9539877817996811,0.9610900255134963,0.9285708601576791,0.9326941254061281,0.9212390032910552,0.9131488665268778,0.8977917130335233,1.0656872942933195,0.8630044062766132,0.9277524227946753,0.8672892531427134,0.9943425139739832,1.011223972353974,0.9206525106209482,0.8639398836103636,0.8328274612650837,0.8717463156480478,0.9026035873872118,0.9072878282546862,0.9809050644097553,0.9563327823798754,1.111355933540643,1.2192099744340652,1.0257360266291475,0.9782563618888699,0.934798991682141,0.9232683166819423,0.9318681853673328,0.9222300760211001,0.8708812367367463,0.8815226499152773,0.8953523370894583,0.9286309583692037,1.0109873980542818,1.1974669602634844,1.0098514249910602,0.9413656377917349,0.9054879634221961,0.8982512132743175,0.9344211632814683,0.9561163178070745,0.9074032670295025,0.9118538778751383,0.9181779544890973,0.9077361034901962,0.9833615839728257,1.1366834719123886,1.078887318781751,1.585157991141207,1.5902478327614182,1.3219252401268662,0.9619231870700573,0.9765917406909292,0.9423230788731382,0.9072836718564777,0.9028311470178656,0.9031232165206198,0.9491280590090105,0.9211282875918305,0.9078734112013459,0.9106238691501901,0.9978102790756688,0.8828635158238934,0.8827006833362254,0.9289292972002748,0.9250595050819992,0.9798134673604068,0.9846113928911424,1.2697379096244323,1.5627619916577478,1.4264740314849669,1.4525185673526735,1.078791752128619,1.267572567613504,1.2460995850538228,1.184381110122001,1.362700668751082,1.301785898780247,1.2647036483049754,1.1615976271773998,1.2491551815295918,1.1915783602414718,1.1007464615081854,1.0671668168352946,1.1204654747246292,1.1283708581751501,1.1172951457908058,1.182803242515555,1.2087034885478904,1.1767646536909557,1.2208747908757613,1.3224698545333655,1.2927887356754133,1.280055045918852,1.4130287706738072,1.4007638910904474,1.5479650198642771,1.3734360605961058,1.3035619617947942,1.253628635198798,1.2774585862664283,1.2566207440756572,1.5727999458301534,1.574082641344,1.3708078838114517,1.2128608951135953,1.2008475354292814,1.218573434785611,1.2559257302563616,1.2050552378741894,1.2203438570700382,1.20060051172908,1.2894104460762776,1.1869950845597073,1.23488475418445,1.571842336231214,1.525539063743798,1.3358722115234667,1.6756852970906024,1.1625619695043028,1.3254653255599453,1.1783805099533333,1.1624998011937981,1.1683353244343073,1.1731707517749326,1.2423887925500028,1.1581659457140487,1.163307482107447,1.1290160845936903,1.1455454871758186,1.114956839949822,1.104102423931331,1.115012717750942,1.1430106246052656,1.1826336184613508,1.178169819008135,1.292806212044069,1.269625573312856,1.2596225424826055,1.2290150883462445,1.197871225146597,1.1750329432552715,1.1973717348152197,1.1999235402715378,1.1834993251168588,1.198505018455132,1.2056768969408005,1.188762976664454,1.171335409774947,1.2620812030085347,1.271830500448861,1.167189149103104,1.2125408450682356,1.2750455920252743,1.316317835280493,1.2471838950141263,1.2588160201001528,1.6817552647110527,1.8366594339659423,1.3828985240770382,1.5134497599664083,1.33647208525668,1.4205792230890708,1.7423085577887494,1.4925892297207712,1.3831751166820607,1.1372479363098695,1.1360508987281235,1.133922932510656,1.1039927133073275,1.012008669731014,1.0587709837121337,1.0243136574447944,1.0244898587657836,1.1316680156997372,1.1910811440378848,1.172494334748805,1.0819775601121464,0.9469698080533512,1.0429387498877292,1.2993990594332099,1.1192849139767762,1.7598388142226096,2.141902503082213,2.652788304181242],[1.0753871998532671,1.15512903925673,1.4174695221529676,1.0737376630799942,1.25499360519494,1.2903152506332056,1.1601633629327477,1.2123559405955817,1.138982367212171,1.0888416755440968,1.0903325043711245,1.1746168592183972,1.1005106727645046,1.0484982073840876,1.0549984712452372,1.0474691062476102,0.9526554090746545,0.929807190840605,0.9437758184822626,0.9445101917596382,0.9694108952938265,1.0482299250202842,1.294325533232745,1.3324584116986473,1.3883080590137813,0.9974205639595889,0.9458205863214453,0.9586444643821789,0.9663072609139084,1.0568079344486407,1.0114088415497315,1.167044969081365,1.220966386311926,1.1178945763420818,1.126400470051722,1.0501558875263712,1.103654511865822,0.9999057641030955,0.9797055730186773,1.0405501411497884,1.0061901633763133,1.001583381824489,1.0105292200974405,1.2080694550595334,1.6691349378124987,2.2598345018983683,2.3695637287643665,1.5299979516433355,1.6406440308621473,1.8289414245286184,1.7119905100606985,1.7795852199238298,1.4671739269912172,1.239824837143782,1.408392990421067,1.264775492263856,1.2754941247919074,1.1846587095075016,1.1485074569522131,1.512511208947923,1.129978817279993,1.0256466536433702,1.0439250458558367,1.0112604897029387,0.9774212153002131,0.9682246578237048,0.9742842586466528,0.9126037002962318,0.922905445673478,0.9241479255237979,0.998291563873117,1.198119048258078,0.9652778155321804,1.00291118537386,0.988224217287311,1.2521708424931042,0.9956874138930054,1.0213876979009566,1.0327461822215886,1.0648503121813206,1.1087924226177457,1.1584891875139927,1.2729095700892006,1.2499865225104485,1.1402887375912216,1.0838283480027484,1.0702036610518848,1.1289571009104835,1.0238722651443988,1.1114780661255428,1.0090216061660846,1.139458464655671,1.0318591727067141,1.0915903553371362,1.091821942053669,1.0764285729751488,1.1786861338498291,1.117285818857751,1.135690136742845,1.1992576047643966,1.1784909967935946,1.3069641653891961,1.2367812028014002,1.2241027816981824,1.5716738045239502,1.2474098249519314,1.1788053704881503,1.0878278461404707,1.1405010008894891,1.2208101362727983,1.290279031487527,1.228319561023718,1.1449009635733722,1.019592545085745,0.9913369569811378,0.9228118549832275,0.9921381685968906,0.9276126322658921,0.9641138376086108,0.9162063322781379,0.8843300499777152,0.88343359868957,0.8340735911563658,0.9313096872457927,1.0006638976630349,1.0085540443287242,1.3895210169142551,1.1016164927515513,1.1194995381937927,1.0422172945749184,1.0040634602656742,0.9687112250457607,0.9211313662781601,0.991451354952121,0.9521314648236069,0.9884554275227446,0.9722119428972499,1.0075935505863027,0.9318655755177107,0.9465806651213748,0.964930068853009,1.1151848407189124,0.9546636286195931,0.9553505011299905,0.9499856661897288,0.9968180244801017,1.0080717039222975,1.0910434758959293,1.1188291708832936,1.144280920394009,1.2039483979872372,1.2266231468653992,1.2983316961041316,1.54752775913881,1.301056616471295,1.23659994071969,1.1845258019270881,1.2024868772594786,1.2050359609740198,1.2450248530351238,1.1140448771649019,1.050593530582527,0.9737304470711287,0.9781964772144175,0.9789578895420298,1.1091728123768423,1.0152322803645752,1.5180549142108837,1.527034977824517,1.3021212880506332,0.9688312559979158,1.0809423301680852,1.1129470640576775,1.0925116684225535,1.1217856481936814,1.1692209058075431,1.206452844106252,1.1825600210864133,1.1394604424885135,1.1287346189948062,1.0311699438478987,1.1080258898487383,1.0023481178554257,0.9556119592271837,0.9823055529205813,1.0477452633409972,1.0477456668207965,1.2760386994520008,1.541946682268883,1.4438776092258203,1.4319380209830943,1.0727919984386403,1.1889648740343455,1.140124136165837,1.0337130266328973,1.135539343887104,1.0650382674153112,1.0410691145620883,1.0134576904604098,1.1465670697438561,1.1054013183074045,1.1634025792308598,1.198791067186301,1.1733780271034913,1.2043582524375607,1.3039561753827245,1.3593078337088649,1.3319593151871663,1.3400012240965304,1.4296514880162128,1.4982650953599037,1.4731664186417521,1.4942775449241603,1.60030015591741,1.554705092118988,1.6531864230253084,1.5012579208924626,1.3211965859710262,1.300621753593387,1.3327541002104417,1.2671572323025309,1.659756347859712,1.567042756280912,1.1983314121826065,1.0915141953839191,1.0848470545713988,1.1146435562682482,1.099481829301519,1.0557636671686703,1.0523875253800243,1.0535170055507164,1.133351105437469,1.0069420815585328,1.0252510138304036,1.2328675237890503,1.2513450473809657,1.12371742758823,1.3123760337803263,1.021071805996024,1.1275686616651708,1.0480965745574042,1.0842911742046444,1.109673005869927,1.1768013665127475,1.252113764320976,1.1738338746672716,1.251487241861511,1.2360462456743548,1.261360083514751,1.2478361618649525,1.2875507806487452,1.3371723346461715,1.3608215109895563,1.3408512907724057,1.3843434416019025,1.5473983861146754,1.4553676892655274,1.4208673111422883,1.3520211647261595,1.2748663885806075,1.2193604703822452,1.1762815403363307,1.2349204349925333,1.2479084873760244,1.1399761525582843,1.138850407342814,1.1578654037619023,1.0871379511399075,1.098451879101549,1.1910887141780873,1.0719647599983668,1.0499609806299075,1.10239684165539,1.1799256622609857,1.1059735926275704,1.1434568349019028,1.5373321755300144,1.7085681574931149,1.3247961939536523,1.5075814333927606,1.4162749276028261,1.5808275549710429,1.8101444853355946,1.5440132051165234,1.2639337527683925,0.9040167926408611,1.0404583357352133,1.2792026848713824,1.168955958335259,1.2717479289388842,1.295596200052936,1.2637799847761777,1.2901248073068077,1.2819153790174338,1.3792377337650725,1.553341845663715,1.4545539857929004,1.1252760933716375,1.3532085739532167,1.690444179339543,1.4651628100065412,1.8152725504837135,2.0239607746138892,2.8518887865307025],[1.5234159538527814,1.6028160710122372,1.9162512743390092,1.5216132121525159,1.6127928989402602,1.683422732641142,1.500237877529987,1.5904973263977906,1.4728463503849631,1.3489065105470215,1.353697659082837,1.4777805725916564,1.3384618401010604,1.2546790759002646,1.261631364347751,1.2578339657231776,1.112642915038265,1.0592703522927411,1.0081093606350857,1.0281380124109345,1.0270804675122882,1.0991644948357657,1.3328424142604791,1.3579346941782173,1.4132162200224152,1.0284395508739843,1.010975521468047,1.0483591042229012,1.105293062996818,1.251719742580973,1.1963010718397038,1.4108467572692087,1.4780144401445678,1.340357044223705,1.3300164319376013,1.2128970266943764,1.293651643888378,1.1161144448142668,1.0754146112863359,1.1294046950447982,1.078478692970351,1.0718901130068634,1.0861905059236014,1.2661086651282523,1.7008472742949223,2.2846404890390897,2.403956325287799,1.583251300925519,1.6856117054128135,1.8789012850508413,1.820200996184105,1.8121986552686746,1.532629432041939,1.2982116902640572,1.4829051561152817,1.3430937784758867,1.3589952381638113,1.2744316130345053,1.2542145528958943,1.5509977253020895,1.2041476033918759,1.1229682493733792,1.1610002288028431,1.0919144622837564,1.0407508233046587,1.0625624794775044,1.034403584822674,1.0144660737028075,0.9827399902174688,1.037403408526317,1.058040111235772,1.2285635570403948,1.0550916423246675,1.0613122963694888,1.1159363538023275,1.3602671459131515,1.1189430154228772,1.1759633892229935,1.1798855957413008,1.1977049144000487,1.264520143618539,1.2851736133930471,1.421501177003616,1.3943585503708613,1.2693716768962808,1.2434925618286854,1.2007843340196596,1.3005034952513956,1.1667586987009617,1.291453874588079,1.179224916773885,1.2931500596668122,1.2051404420951457,1.3186322999878057,1.314997677872838,1.3051255292199375,1.398212761417107,1.4030289038520392,1.4504224147905873,1.5598066888830069,1.4942102007636107,1.6409401163038808,1.5147559748891504,1.530436596083633,1.8065679000356778,1.5266627685271643,1.49422251655932,1.3783779930020474,1.4583554524090918,1.5544508258502923,1.6646154813968377,1.5304001779314447,1.455328242366399,1.2402282805010938,1.1671223080905688,1.0258552399806224,1.0853687350161174,0.9479397768512831,0.9839942441455767,1.0025569772223237,0.943139497966462,0.9904838871730683,0.8909432013520158,1.0593241286865551,1.215675850277328,1.1870873899009948,1.7203474961182974,1.3521144376691814,1.3749099482225333,1.2860896429419393,1.212912407477307,1.1582860495932188,1.1051466357970008,1.2043331298620985,1.1504001750655635,1.1421269106440346,1.115835346595532,1.111723205664522,0.9840144273512244,1.0118899172036058,0.9504734601602809,1.1210290996630141,0.9781915314838694,1.0104416723538256,1.028294455653726,1.1215780328210243,1.1373699425871329,1.2883255273991812,1.371539254072306,1.448292024690754,1.5706701243724537,1.6156939960283163,1.6948885893648233,1.9780694928794664,1.6827520135281364,1.6081724680601388,1.5246011013944947,1.5491280104541603,1.4897765561519287,1.5189490592085864,1.3049122806080162,1.2165125452136212,1.079454260382416,1.0994300423040568,1.081934164138054,1.190184195377704,1.1387264383570792,1.661407481719766,1.6585167296001795,1.3711351773053888,1.0911763256519955,1.1728660229858754,1.239939489571573,1.2575753691480482,1.3131883616792144,1.3930450614724397,1.4388896014168526,1.4165190119819908,1.335688259022394,1.3236349589846432,1.1722732053980238,1.3131609444760175,1.1741978917374214,1.1185503554055785,1.1274890431151394,1.184623133397787,1.1344600371768827,1.3728246429334436,1.6134950289100907,1.5676433095744584,1.5504712083135794,1.1936836272397844,1.3099548026734302,1.2596959820120892,1.1886790426680083,1.2735068516958172,1.161145540863006,1.1656166168969302,1.1941087004968685,1.3728484972681745,1.3522925300124324,1.529260147520298,1.5934023037007348,1.5651484547581214,1.6007736559728607,1.7851397484268696,1.8730589838050415,1.7920308661086686,1.8249916808044597,1.9575909294476013,2.0104643394199386,1.9798555533963929,2.0192116144609753,2.1009223895145803,2.0156979820523384,2.088639531484563,1.9316923853031833,1.6224360581473214,1.6595597792003725,1.6846304065882427,1.5037849624636834,1.8292208227186728,1.6872062115622868,1.2306568573165295,1.2368759151993622,1.2215577391957013,1.313432760284544,1.2155195658226214,1.103834313382513,1.180469787981265,1.178905679627846,1.1586232173109854,1.031942779090726,1.0818471604696231,1.165699151950796,1.197811252219348,1.0736733730515762,1.2195734719357878,1.1323126587422294,1.2640780259985318,1.24301170717179,1.3299643915626411,1.382160815486841,1.4777220528215478,1.5505464256902717,1.4973952462312266,1.6173573982915088,1.6352651433084382,1.669202681734403,1.68766081118335,1.7585596251489508,1.8372388258760495,1.8696695161865813,1.8027426053442268,1.883046349650773,2.066151287965463,1.942007561230115,1.8759255008639093,1.784260147541738,1.6631610370316523,1.5912527376447887,1.455806202746186,1.5550289171047154,1.6312459256045708,1.3863076390177473,1.323416747778249,1.4039539138997685,1.2851892235934166,1.1274443051237588,1.224878974594504,1.1684999552152562,1.0330575666837256,1.0138877830594737,1.1238693905712358,1.0619988291623748,1.2444625082111889,1.5234430300865571,1.7415410553609896,1.5232428299684084,1.8550849528928404,1.8778419562180448,2.081044190945661,2.184047697440166,2.0549337363753275,1.5450008578155057,1.0191282308178833,1.3367217648230276,1.718811876604513,1.4848163017937346,1.605416052737705,1.7109711782832726,1.7067954986847793,1.7951571767253698,1.719990827579134,1.7993348003976952,2.096222016150517,2.028838039720986,1.5922969194621681,1.874605877893944,2.2975585964489937,2.1425872837274205,2.3049601749164186,2.474559064871681,3.5390834099514126],[1.6033184276370995,1.7563485857133294,2.1525855098704234,1.9375511910052532,2.1373179703104044,2.1317497915655266,1.9982832233339376,2.044279299892684,1.9701524430151318,1.873873062834825,1.875172068845231,1.985377197807727,1.8411176374514682,1.780274000147477,1.7828662111912237,1.757499011704834,1.607519661435495,1.528007065543107,1.4270113793810837,1.4127073576510123,1.3613773417171942,1.36646599587607,1.6088030449320305,1.5438876494658407,1.6786784052627681,1.3414167210564243,1.345902990148399,1.4631016221991202,1.556594351255299,1.7193242617733064,1.6854891748255505,1.8900514744232244,1.9477236359342984,1.8268326532624726,1.798675356820894,1.6710754134604535,1.738726750852123,1.5273738762681484,1.437567671718004,1.419568966074484,1.332727169767676,1.3675488875919206,1.318098849438522,1.4275216529402617,1.7237880405598793,2.2730377643708253,2.3652531702692245,1.646500603229193,1.7475899937612527,1.8777587301644554,1.8079245195361604,1.8967109769139394,1.6707516440302894,1.4753420556004166,1.6352524862863913,1.465798808384054,1.4767256658215906,1.516656575227423,1.4368951085392618,1.7071860376892833,1.2855012478354826,1.3800434394221794,1.509552639537619,1.379292147021659,1.289731949271398,1.398815818279076,1.391138764288414,1.4465854558910498,1.378170216291512,1.5069521198716243,1.499361197079722,1.5797776034367081,1.510470443246673,1.4390517713267719,1.5943119641214372,1.7816937859063156,1.5302599687732732,1.6023991584214585,1.5850660888248054,1.5495692475046576,1.658611131452716,1.6235373949349894,1.7785760457665063,1.6830969372668294,1.6075013493743007,1.611047762719968,1.5816538703393392,1.72923614630861,1.5893681461932807,1.7239745880635986,1.6438768110172532,1.7274014463723046,1.6794954660291281,1.8091496664101587,1.8120956246940496,1.804548486535147,1.878668296617934,1.9074897369085873,1.9519723472856125,2.0234408788772513,1.9634400342364315,2.05440855872222,1.9162874053321832,1.8847967363937204,2.0527722541514195,1.796192653325404,1.6795373706544159,1.5267275998759153,1.6021306338585815,1.7632618001934517,1.953180513299043,1.906475340503264,1.9244926263283868,1.7275018199611434,1.6675845812322048,1.495526635864685,1.5409567528256645,1.3226150359787254,1.354086318251247,1.439552735179933,1.39613327970432,1.4928520441295448,1.3548369234228868,1.57335170488764,1.76215832491055,1.673730388790425,2.172911425177061,1.710733495717363,1.5995101404999925,1.4884373295435316,1.2698945088005353,1.2062011830986965,1.162749083723263,1.3403561518616287,1.2583188343545144,1.366298686544731,1.2913102848135865,1.406690296214662,1.3110679594223649,1.3268552220530319,1.1763889303608057,1.2300700037559564,1.2718813973538663,1.343118982077991,1.3494756636174623,1.53775605107826,1.5623773066338766,1.7510679878329893,1.8188007468563443,1.9224043199732634,1.9637672401200594,2.036109579523427,2.042887290809458,2.353646465646704,2.104738079621529,2.0346342552053693,1.982886909051641,1.9632773850344463,1.935977484592315,1.9016869226829076,1.6740237016079877,1.589119024823379,1.3752253564457617,1.3567602338899885,1.1808036999694602,1.147993765114168,1.0556139731088694,1.426895348122303,1.4904334217387427,1.2830686635282267,1.0894241569029666,1.406911441971151,1.50388940622992,1.5321351248862969,1.6364199409850293,1.744393926865924,1.8396240774543577,1.7717173746822146,1.671288571654622,1.6219675580474495,1.3430845171741728,1.5792524932372332,1.324998913507955,1.1771158388650262,1.2127387632016116,1.2837229454325967,1.326255219277493,1.3931701702143644,1.5968713661833502,1.530409742069001,1.4500258820223462,1.1730249662455436,1.258404152890204,1.2411183904284298,1.1783141308604441,1.275407955350314,1.1877730236335786,1.1729915937222557,1.1719265251764153,1.3167925588909335,1.173404422139631,1.442841795614616,1.5599390084815672,1.3080600034125944,1.3591332798216222,1.680856038421702,1.6383974230985234,1.4173546071524339,1.600624969910669,1.8430399636604664,1.7252846669612663,1.6753881394491135,1.9041898048833132,1.9808867980423912,1.696565084491479,1.645429962339871,1.4896731098686948,0.9591460645072919,1.0651892995075338,1.1390250287348525,0.9927129021202294,1.4790866859737697,1.2683212683084757,1.0736064240045229,0.9339991524407465,0.981917189726382,1.1284605933995315,1.110661283748309,0.9809342151483494,0.9821180226440576,1.144277728614672,1.2311618566387956,1.1566581101689501,1.1195945169613861,1.1795077247006134,1.286493923071616,1.1526300346996847,1.2610933522476535,1.1153632009305472,1.1933050610896476,1.2330358262547407,1.2275561073921744,1.3577792627302316,1.41410507073431,1.5430022815736502,1.452838728437314,1.5112864341185437,1.6091303870489568,1.684534174048483,1.591930985912038,1.6924526973001388,1.8312342349613593,1.8007900786675464,1.6315210861156149,1.765598501127287,2.0117793810887066,1.7261990637660154,1.6045083624771126,1.4490144272963292,1.3473769222702416,1.3319263395001193,1.1516512812884225,1.1532613194883432,1.2444794590301298,1.053469718990474,0.9092305497227757,0.9230695146028283,0.8995152551402484,0.8352011025316614,0.9561428690187659,0.7376497698653105,0.9014903240177874,0.9524766565909798,1.1701286283882912,1.0443153985797835,0.8365344502415454,1.4831331289023577,1.5405565310643947,0.9184949800495137,1.1130866295630852,1.2435653326531606,1.868186966637683,1.849146370344236,1.245524286880152,0.6979988949535979,0.9046220655107176,0.9057899459205165,1.5380146048293757,1.4161265040348754,1.8092912741876177,1.8616673187346078,1.815465100950866,1.815685525580939,1.8615720482916571,1.9496441901972081,2.216715379041655,2.2056224800080617,1.9083760656924191,2.1621243493652154,2.4019041023647096,2.308145879023939,2.4430460846899487,2.5936824495737882,3.6647930331082903],[1.9648682292774433,2.1210003968644537,2.3431301249387015,1.858682941154703,1.6304276068924572,1.6644060219517745,1.2977298332421996,1.388431547698642,1.2225674173157004,0.9463297313990952,0.9430447908742906,1.1527959901200715,0.8928634987423966,0.7818689673355976,0.8106919592309267,0.8060632976101914,0.6903229852952433,0.6468019018934631,0.710980545088046,0.724562990355297,0.7985716011728069,0.9237558397211156,1.12876742668746,1.2255505536865636,1.3137272582767237,0.8856326313182814,0.7521255871201303,0.671514423196664,0.6888671516538646,0.7843718602303402,0.743466289244819,0.965619587732175,1.0159634704963945,0.8676683700107706,0.8695044051723638,0.7551725671277643,0.871498569250901,0.7611664405353092,0.7717459610550423,0.8490626110851112,0.8900650864815387,0.8433222940217522,0.8796788997740331,1.0786712590244074,1.7328586917692608,2.3280115971317357,2.4908797579560535,1.4503171162872979,1.5705090718585129,1.788872365155329,1.5772372464492066,1.694723434767641,1.3222509768834232,1.1461640588111615,1.3566513177485489,1.1514639642032904,1.1345062973249929,0.9823887927091619,0.9822434279089886,1.4255439544193105,1.2110108761747815,0.9168451346115211,0.8276312320612168,0.8878855359768674,0.9308524598322488,0.7609249834723933,0.8138903714111683,0.652198289300601,0.7084960450691032,0.6490889372580801,0.8135605531704934,1.072787133277964,0.7160870193764627,0.7740244992868011,0.6948992487750603,1.0001126549505612,0.7088414345304175,0.70986945880635,0.770865319108355,0.8268097750247049,0.8584053821275912,0.9183447075870279,1.1201175379363757,1.0114013101300448,0.8629715403816459,0.8337332520995158,0.8146955699560605,0.8840619199419592,0.7413391254935088,0.8360653195404482,0.7257981017654571,0.8648740587668294,0.773068413725705,0.8349062831033186,0.8530239367341153,0.873573544886803,0.9819208326652599,0.9996757473450752,1.0969599209646346,1.3289929036375947,1.144655140378728,1.3923345961064186,1.1476823207368696,1.255971637563992,1.4858413729374857,1.2528568002293408,1.3226101656400842,1.1986127461968015,1.3103435701908583,1.3805944180965495,1.4852002010541685,1.1864132125098783,1.1271050833323977,0.8319270438605065,0.7198150034205149,0.6038998273460019,0.6682996183891516,0.7040595868581481,0.7656187482960729,0.6279332394450435,0.5987070650302456,0.5754416893213624,0.5542537096637428,0.5996765206423863,0.8195413938077092,0.7627323211039568,1.4890598796265535,1.0069434163857551,1.0762183367493499,0.9851052163143466,0.9450382744572408,0.9684637013481413,0.8615356067743858,0.9150268840345227,0.8080390237741347,0.8453525221577638,0.8351144096086159,0.7724388488621202,0.69618832665708,0.7241734781876916,0.8706158051453255,1.066983104508755,0.7917272806310824,0.7305227199606851,0.7432372349352115,0.7117312082114531,0.7102231148278405,0.836460784733057,0.9582696969221496,1.1007207588277794,1.3219155588087188,1.4039815421039916,1.5621686887757453,1.9821899134092833,1.5632159593810395,1.387922677536441,1.2196149706933397,1.2713757273168198,1.1042029934569615,1.1634157336974722,0.8936400752815257,0.7776454775521702,0.7512474009822977,0.783618145219147,0.9414075240063248,1.253409724973366,1.1503944633787615,1.8575351467187187,1.785156256189897,1.481913836810252,0.9946910200098011,0.7905559199099564,0.8562525635667249,0.8554198780714963,0.8766455023905673,1.015886410567329,1.0203855124387533,1.0600690311061196,0.9133998531166534,0.9766181777253955,0.956500360774483,0.9749906248168526,0.8612833717565685,0.8518988035358045,0.8500892379884043,0.8956594085779679,0.8956756464036719,1.2759985592775274,1.5319935185056774,1.3637863234513272,1.5476101055924578,1.1021224297890113,1.2770063761200492,1.1766982055575361,1.0360935546992196,1.1021771966456637,1.027864181399269,1.0331932798960026,1.1517874406567825,1.2792223869422565,1.5007711804707997,1.6629442741532485,1.6072474236552752,1.7473128180559556,1.9463095872156098,2.0621001771040266,2.143986503025555,2.279928885809372,2.3369669273203413,2.4486560635362133,2.638156656708916,2.6944151392351277,2.645785746621637,2.7537277654871097,2.866036070987739,2.875404363544871,2.804856843057483,2.4349354845637,2.387516432292648,2.470639380463358,2.299764024417338,2.5879841627640303,2.3140373674071406,1.8546287442342524,1.841424597973814,1.7589582783430064,1.6931586372161052,1.5454124533490297,1.604408435455817,1.5652776069719736,1.4332074758428854,1.3928485995824433,1.3543779176023236,1.286441398391243,1.247608798633753,1.3476931347120786,1.279356656339917,1.2209013208504194,1.262929292144087,1.228440867757079,1.3178987087945762,1.5672308429247985,1.555674460408594,1.7764525974694034,1.7138719457573268,1.659801861269178,1.9589114261457006,1.936400555102998,1.8809532221025722,2.030213542190473,2.20370172658286,2.25124826116793,2.3109727974073473,2.3764874797643736,2.4618342767738337,2.614136676366456,2.5964418547136927,2.579979748375263,2.4648357849738716,2.2949311836765185,2.0966921474083193,2.0189518823186874,2.2443549694101663,2.203908255307215,1.8893247910814683,1.963930314247867,2.06517190203521,1.7698570982363024,1.6598669560413646,1.882895703973151,1.7597847944402794,1.4715498039616588,1.4601366768020028,1.6174864876617263,1.5507889466094353,1.7368115764639551,1.75823477385994,1.9062854277861339,2.2725897344809796,2.6017199329101226,2.4952325996021947,2.653345126835966,2.901623065591775,2.273174242956962,1.6905329539239695,1.1730818111065284,1.531245778336305,1.5297583256410763,1.329676819268241,1.3747111215789758,1.6953570100536404,1.6911678906867136,1.8905425643164828,1.763344878717165,1.6931523429385997,2.27388523079648,2.247012666219053,1.6007431806779324,2.15043940824821,2.6318952945383898,2.5359942286496175,2.5099070615986294,2.6104472950420154,3.6842020535861244],[0.7855459046306336,0.9217043217306125,1.0656096757873026,0.8243797378559569,0.7660309138311715,0.7301528104884988,0.5341003237638828,0.5425024898387818,0.534061403722306,0.4392432617270656,0.4523471775056488,0.5526786179031518,0.4488755540611019,0.43700478032589035,0.47556497718568413,0.45725538908009805,0.42610669367166276,0.42507541801937604,0.5248733463425183,0.48805975846473176,0.5498239478282303,0.7056722397646952,0.9118884376875733,0.9669999646352987,1.1513855905518733,0.6609008089609961,0.5045837434562334,0.4472119228893667,0.4354350671957722,0.43007317716693866,0.4407778466198956,0.5003556965171009,0.5232492469883384,0.4717646800198348,0.47802027249182544,0.46518964395771895,0.4931309605009413,0.4930313321478308,0.5174776143690795,0.572248674038388,0.6511310112575267,0.5919126585090286,0.6103769834423353,0.8465486308689336,1.5170893832227257,2.1332637433248838,2.262637134654028,1.2433287315935664,1.3995482420985166,1.5843803465463784,1.3076593414643103,1.599750633583616,1.1000169982697603,0.965336239452501,1.1420085771086257,0.8835764976441006,0.9214059680488101,0.799450823175071,0.7479313585245712,1.290060018245302,0.9533558940367072,0.6779193567727081,0.6121272489158022,0.6509798142418903,0.6992978989368157,0.547022730083208,0.6313342521655969,0.4445434604751799,0.5843528153793882,0.5203282324607068,0.7100279728257431,0.9765662636412686,0.6196624772281396,0.6778823094332117,0.5090209672601728,0.9114420933303164,0.5026965282365848,0.47340821337741745,0.5083760870130241,0.5870593885733982,0.5420801774809666,0.6125189241826934,0.8962452147464706,0.6758715043802339,0.6255716146679678,0.5218455585714907,0.5290070794581965,0.5473789509672546,0.47078091285698204,0.5474896544738496,0.4654336565703509,0.7000252605632605,0.5402036735724839,0.47965511731063687,0.4879917360557965,0.5419103432415031,0.6656743705079792,0.4823157521372953,0.4917194527115063,0.6001335762756832,0.5048425462568105,0.6515994122754323,0.5293459997992304,0.547240010073097,0.8561669894873084,0.5741227564389587,0.6700029743547283,0.6003471546326764,0.5330363267661355,0.6158896026465558,0.5909431964463522,0.502664859017644,0.44110865843136193,0.39634094906309103,0.41834257168581557,0.4133519728559096,0.5083015475822485,0.4850571892643551,0.5611277500682481,0.44563080590056964,0.4402578692400199,0.4264763196920523,0.4151027209902471,0.3831031402750332,0.40092137753594653,0.36536326167411404,0.7356324236913248,0.4597828997984565,0.498992764022031,0.4926975384716034,0.6272235594779949,0.6497599722627407,0.6218257874969783,0.5290312089685366,0.5345877469661858,0.6480709856915847,0.6730755643106714,0.5697946140569815,0.5040802705035557,0.5106298627249497,0.5570585631280209,0.7097754829886005,0.5282345374724509,0.4979035127799057,0.5014451066914003,0.46906148129890646,0.458854046057423,0.47098410262167884,0.4294706057031086,0.46813052343319544,0.526705392525696,0.5561501054346086,0.6896216620809926,1.1671456369144795,0.8564578659890624,0.5794109097276037,0.5086776038548567,0.5031895664572295,0.5001874960226589,0.5261917985283465,0.47490758096549374,0.4646168900668728,0.5268608882765861,0.5466359795667044,0.6980668763264004,0.9800970764204243,0.9514653766527186,1.4931377324383757,1.5058577352315863,1.3052683618245953,0.891372456193472,0.5296671253426988,0.5565200948711043,0.5117703301742765,0.4753103022289488,0.5018550689026587,0.5298990235687515,0.5850653952266699,0.5207869619797176,0.5368101464780242,0.8285974853552054,0.492831769883908,0.5350024956488741,0.6577706977970046,0.6702368497088569,0.6673511196941014,0.65666245825862,0.9851436591640846,1.2970549616976115,1.1227439303545825,1.3345777262290346,0.921020325279179,1.1020296297214247,1.0505784659571662,0.91645140828827,1.0522964083246378,0.9404324070355595,0.8573115375778136,0.7587137304236713,0.79006250168574,0.6010918244058167,0.5823781053802156,0.5785264949318512,0.5759459610900243,0.6344889375004864,0.7203831326186757,0.7628065306452657,0.8135286275073527,0.8527400828489966,0.9822024156329607,1.1061539584557682,1.1517010521209203,1.182830752288823,1.3369549268984522,1.4333850653560687,1.3979482348694785,1.3584101661100914,1.0909463564330582,0.9651792911351517,1.0448376160774058,1.0100595089990976,1.4558227095164247,1.2425763937444623,1.0887910213889782,0.6912304450392008,0.6557376789516409,0.7214843477896754,0.7413501132288943,0.699380368605598,0.6350835325769574,0.7673858156350548,0.8963524394143972,0.8335669636382314,0.8084276906576018,1.0031549821290568,1.0410476188611368,0.9192222342542921,1.214659220743457,0.7814193021580804,0.8022319342031997,0.7813306236060338,0.6992776574572417,0.7893197022100797,0.8208340549730906,0.8249510405926324,0.7432955339233934,0.7469126165106732,0.754809905293119,0.7707780634957853,0.7046946245788342,0.822220900593534,0.9258711362640295,0.9117335653153846,0.9196900360422161,1.030830189380167,1.2592071492657941,1.105536489707814,1.0821328428182697,0.9624818334862114,0.8458601387007777,0.703577526125828,0.7093905205632622,0.8419128971935702,0.7791940784153795,0.6517483868910242,0.7264724541498879,0.7676659674608638,0.6288365449653477,0.7161375972702856,0.9492551834697713,0.7276836335692507,0.7669822298590946,0.8230361929386327,1.0805345056907965,0.9475240344547351,0.851795536480386,1.2900436704031724,1.3113984321314136,1.170394375394323,1.2006529434738928,0.9881832247620502,1.1517877336636861,1.4161768894958018,0.8492487201489545,0.7464258037567254,0.7412894588125929,0.6214859224814233,0.5806602515363541,0.6398920124458461,0.5566823444993432,0.6342329761969016,0.6514247489164596,0.6643821664858409,0.8244864872828563,0.7978758321866646,0.9103121672990505,0.8764375329743911,0.6289448023957017,0.8960623725836756,1.2100206511193452,1.0648128088177748,1.3518049745357315,1.6658720945796415,2.709096775107231],[0.6761162008866259,0.8160236436450352,0.9410290652221333,0.7122333179549365,0.6366251790063477,0.5404859466954877,0.37283714621766195,0.4001356928610494,0.38019646621865155,0.2952574832672262,0.30183306148157674,0.4136216266014448,0.3409282411442477,0.3100912490857468,0.37246101936171916,0.3859392586213391,0.3873410011143458,0.40722788654618525,0.5313910508532833,0.5074658623070433,0.580541490261436,0.7252419346909164,0.8910204032214578,0.9580643368207178,1.1659564030785186,0.7076788865318424,0.5211826877776541,0.44429929479779506,0.40828944420296875,0.3626119462202489,0.40446535852661875,0.38344790443973215,0.4256561389024751,0.37237807699453634,0.37692861419220225,0.40297951926767367,0.42194148105387125,0.4868565382820605,0.5142547348811353,0.5676385261314868,0.6442270932433267,0.5881000381273453,0.6011368747562906,0.8215156856805768,1.5114735838523554,2.108355162876127,2.2605308725808837,1.2046368345671756,1.3764394240774198,1.5714034302564106,1.2679724095036191,1.6182698643413866,1.05781786421764,0.9806640684046591,1.1525026672796082,0.8572844494690562,0.897758207726687,0.767835081570546,0.728851273500253,1.28869730850808,0.9794124887661195,0.688572267653312,0.6196356426235344,0.6867597558451047,0.7405113843891437,0.5708502973796458,0.7026846047954228,0.47825099255798936,0.6525524034888778,0.5595663641675593,0.7400618108320711,0.997001244852511,0.6601220627362445,0.7597802408129534,0.5325541057722754,0.9688653939179509,0.5090426096247703,0.4683900496256254,0.47608788764601156,0.5602794103016315,0.4676337828662557,0.5673437689235133,0.873500710423169,0.5731324666284096,0.5564457890727543,0.4562451664425216,0.4849721175156701,0.47930188549059277,0.4395597881876245,0.48190591510565334,0.43353975883565476,0.6922411480862586,0.5434440974648186,0.4031264610085718,0.40651916142592814,0.4743748845064381,0.5785088906902945,0.39035564188939836,0.38415929237078217,0.5259923411810157,0.4064402791053825,0.5593791697506739,0.4280373383534234,0.47346713602079915,0.7326436012539397,0.5240335351835114,0.6712666551944471,0.5958859437135734,0.5257108542434005,0.591529977088803,0.5022076241801202,0.4133389807981825,0.3412906763657778,0.353221696476131,0.3796046498731444,0.4441263484301806,0.4819077855614448,0.5225195483120558,0.6364547895020364,0.47461522445136906,0.4725536537999697,0.44277835418379885,0.4599656846809779,0.36509869019007074,0.2960625814723673,0.35744558506445206,0.5925970893514955,0.45050095599352863,0.5022455569668594,0.5113878768291932,0.6578727101059314,0.6756941455098366,0.6467109528514132,0.5408510161540967,0.5657431040501061,0.694273884338873,0.7256276305811793,0.5813829011554975,0.5558211757278384,0.5522218220005719,0.5853486687094324,0.7292499812395354,0.5530904825482772,0.5213320439000771,0.5231685339377156,0.46144770262460166,0.4501986096622422,0.3944701290841063,0.34518109232085253,0.381432286194619,0.47750810186855486,0.4549139036035921,0.6579655834003102,1.1757196419214733,0.8260796312589312,0.4805036277482347,0.3936500329036069,0.41360257102446624,0.3830771321562149,0.4336280882176461,0.4117936825434106,0.441897526598063,0.5485592533360925,0.5540693793106051,0.7210987045137145,1.0238434834967611,0.99406147413496,1.5337183016199591,1.5348399362888934,1.3419897195664698,0.940489968862012,0.50741364053556,0.5131928802444657,0.4906005793605295,0.42542128706651067,0.43692368922983443,0.44820357959221047,0.5491401878123254,0.4541645738711833,0.5027898217955721,0.8814770376464363,0.4566432946022066,0.5331397944758962,0.6878522135247038,0.6875902304278955,0.6793723959154953,0.6782169064601047,0.9855197864314097,1.291447050261484,1.1269948151948443,1.3780076342924596,0.9575444051233034,1.131895507392488,1.0752139430522178,0.936868931988798,1.06855850662712,0.9561561850461525,0.8876482813087301,0.8025176007149555,0.8220475408079034,0.6203515120553685,0.5738948890921749,0.5695198743352549,0.5956335045804065,0.6267247291589799,0.6630460902158275,0.7033459812736892,0.7892510984587594,0.8482583572469532,0.9375089626006265,1.0667735874185797,1.1779458123237512,1.194821087993649,1.3092844385041784,1.5036369237759937,1.3557007683637297,1.4467999037157926,1.1260810992318087,0.9972129141729918,1.1046999384024996,1.0935870733866522,1.541237881649851,1.2416985997313428,1.1633100297528438,0.7413176658632977,0.6943180328756101,0.7132847008892309,0.7462251922621967,0.7333312836335536,0.6650669489487927,0.8023459749916235,0.9388622342056641,0.9337602321787617,0.8682146423206506,1.002994061778648,1.0944164099395324,0.9689297544227442,1.2201925494866208,0.8184429710175548,0.8014412569412552,0.7973951925864767,0.7003321656868292,0.7819563329707278,0.8264965044306971,0.7668712517073182,0.7152185511728357,0.7167830138562381,0.7263091701463354,0.7273044297260818,0.6920616669349146,0.8370465021533507,0.9437127929808251,0.9112098080967531,0.9517067046668257,1.0936732117469317,1.302505092792646,1.1525963831106087,1.15569464690889,1.021325048077292,0.9014624478191846,0.7289085459178481,0.7521834544397007,0.896293346568166,0.7977324583959444,0.6897206000898365,0.7880502927988576,0.8185286123610418,0.6741807710401609,0.7801409154909211,1.02367752703902,0.7782083452260506,0.8463695186420309,0.9105073482149817,1.1860915455259275,1.0299271114577346,0.9040188542499075,1.2755105942861817,1.195346837926814,1.219463170820586,1.1043201107798928,0.9215364710692273,1.008311663111552,1.09217872946978,0.7549067311493437,0.8014648871398212,0.9023018869091975,0.7073443771541843,0.6313482810382776,0.6818146797553686,0.5226829322451518,0.5719485348322892,0.6066943920763276,0.6221377552586008,0.8647898904111908,0.7825111380055642,0.7641573208215671,0.7622757629924537,0.6084456469385428,0.7619207890681331,1.0838527226893577,1.0893678822688575,1.214324308025317,1.749762814334866,2.9983944940013396],[0.5556814955864751,0.6830009434268823,0.6879185422826782,0.4362101024185013,0.4527457554298412,0.39635329814817893,0.3593418471566408,0.36242134856687136,0.38799879137943066,0.3718023044738138,0.355348819321753,0.4643595935161475,0.4452433056247621,0.3880269913156067,0.4311712645057535,0.49224069761352823,0.5212637839358211,0.5092110222830059,0.5717628662283388,0.5835095079647912,0.625156095070466,0.7673943382114008,0.8519666816857144,0.9202590608471358,1.1591151406102096,0.7419701832214185,0.6166006924203036,0.5688033398854652,0.5434387170953658,0.5107663973083079,0.5232521228810988,0.4956424005014073,0.5279468894931841,0.47326759445375666,0.5013247740103413,0.5232510277528237,0.5756271017290312,0.6396719087140141,0.6626851819306049,0.6924624691666962,0.7352472488848864,0.6650796274383158,0.6648837210101652,0.7896369989729866,1.4468381269861668,2.035527974479806,2.1206118079277867,1.093590261314919,1.3392945194893302,1.433431254481598,1.1287503240348715,1.520316434765006,0.973354611643639,1.0067443707360952,1.25398688246327,0.8625194155846243,0.9250768733912368,0.7850726365379741,0.7652629359761107,1.292956093292874,1.0111004339003815,0.745047876141037,0.7165938717536211,0.7249606142546691,0.7769236425741314,0.663156502595168,0.7733010438404877,0.5616969464234345,0.6973072661180192,0.6094675021687236,0.7719620497824645,0.9984412095198043,0.7048634848618759,0.7802098308036028,0.6069772967724073,1.0089472074862529,0.5904935615460308,0.561618676583796,0.5877767143181323,0.6453101353623567,0.6023533273814411,0.6901738809869593,1.0001474594268909,0.6323411530268455,0.5990533950072963,0.5892542695496114,0.6096866241584729,0.612334600548264,0.5552362520444799,0.5917253912579081,0.5186409891125918,0.7579598223671407,0.6201639461265374,0.48524673207990937,0.48913374747138616,0.5501831884355753,0.616917495871531,0.4988589732016797,0.47160727052727297,0.5561872113671834,0.49042423731749374,0.5647466655775424,0.5079356278975947,0.5559333353594188,0.7508280849392216,0.6242959829266886,0.7299246728483575,0.6852702914644444,0.6032859885664994,0.6659358859679035,0.49914918193557994,0.535294863644465,0.45166176704744226,0.54079544764889,0.5393309965128492,0.598704820468844,0.6051248348944049,0.598528441992895,0.6725269659209251,0.5758262744965896,0.542961881087302,0.5240119730166771,0.5587347212190146,0.5255753499969492,0.4699124221570012,0.5935213280756994,0.5022651176816924,0.6126562031003447,0.6318202830135521,0.6642134022213366,0.8090085424576502,0.7894720614607472,0.7909552001850214,0.6862086394042703,0.7608131100405826,0.8960597442641131,0.9191105957571206,0.7552067328136213,0.7453804740482312,0.7280999633150872,0.6546296331089652,0.7718339345471796,0.6384877279237846,0.6542059952467817,0.6720361061210041,0.6155022339001552,0.6149832543746573,0.5502315921657066,0.5023962814773287,0.46149370408896484,0.5110553839129631,0.44226825319499663,0.6233934114247339,1.0499384103987168,0.7702456996911308,0.4865274964534975,0.4401141355232984,0.46106574899415936,0.4611894532782088,0.5373955799677989,0.5999789508212324,0.6218599466946246,0.7237481417470198,0.7101747270332458,0.8336415522695599,1.1253230457804058,1.0928657299705482,1.538115918916244,1.6079487907777166,1.4671927201636425,1.1029820214112447,0.6754623303213496,0.6652108759999285,0.6593568238452444,0.5853615591966754,0.5755727233783011,0.5595136892205305,0.662054458664404,0.5794559028970001,0.6485687482318576,1.0431063654540675,0.6221297999800401,0.6947248178227778,0.8265457984169166,0.8328889196460624,0.8007327670595017,0.8059327758348418,1.0004287925008073,1.275132154675265,1.1196218647104523,1.4050002407449647,1.0937304551838847,1.2268921028907829,1.188071938558748,1.0382215157062087,1.1174464807799678,1.047988726976608,0.9218072682889327,0.8109494519092478,0.8977847830785526,0.6016008205731576,0.5492572502850422,0.5800149185851363,0.500577403716003,0.46421120982416986,0.5231868602082862,0.5294607986462524,0.532723860815726,0.6102310215482253,0.6979659081469751,0.7853470161930032,0.868580098874685,0.9277368178731039,1.0455179243276134,1.21661326971312,1.076741341600892,1.1645607958989475,0.8627732920639725,0.7206466571125536,0.8128893632222703,0.7977534735080178,1.4016607749031644,1.0674060611899792,1.2411051646954068,0.5946151480586488,0.5457609031699423,0.6714890964252207,0.6743206738127518,0.6177062701632448,0.5501082913410394,0.7440272297746494,0.8492550622213967,0.8573981379849243,0.8371163395292229,1.0422880697500099,1.0230812644605758,0.9350010146715111,1.3194401613609252,0.8254326066403994,0.8323241278227645,0.7811196244732893,0.675888075115042,0.7872458417035373,0.818369510847031,0.8170857067291453,0.736864015073818,0.6246928765214211,0.6949881298883978,0.7241073538909807,0.580796699888915,0.6814013965235273,0.80531346505161,0.7340289893389721,0.7391618518878498,0.8838381598710713,1.0908410847757777,0.8802957142427765,0.8700439710067897,0.7326154502298725,0.6350650259392469,0.5405024212885964,0.540908788528028,0.6231318380969992,0.5462324926885791,0.5121095121615926,0.5477304900866703,0.5891867110170613,0.5052039954530524,0.6018667776248898,0.8292135232257155,0.6181571229404944,0.7141926418521463,0.740228339005947,1.0496380123983238,0.9131760562593721,0.7933561126576703,1.1346765219059505,1.1430698099288195,1.0382859495377346,0.8963225091302262,0.6932379329256808,0.7454258941785307,0.9309360449891247,0.6588467538361277,0.7442112987183438,0.9559542708775168,0.6892954422223947,0.6513038078736874,0.7275412897842123,0.5971311172351089,0.557135749604975,0.721013947457048,0.6614097943584294,1.0498704984775427,0.9032445380875723,0.5638683356663616,0.5769817274335396,0.646951652692478,0.5760729028158171,0.851722240844128,0.7620732448386024,1.2798765590186933,1.6403748342743405,2.597625729639508],[0.5918489504358867,0.7633252213504121,0.8867138722026559,0.5736264672620749,0.6358357340661586,0.5797216265142445,0.4845068984168268,0.48357356593038336,0.5077580483899423,0.5002766752268881,0.511420339482884,0.5653835768589669,0.5660305080792252,0.5595822070660719,0.645505616809547,0.64075381634693,0.6350439390721424,0.6349467671909304,0.7055700296603129,0.69980752115761,0.7300406591437348,0.8545482100820402,0.9876296835002618,1.016605014891102,1.2668532821348675,0.8361622703090401,0.6913609361339257,0.6648800270940759,0.6523130998274386,0.6255932206384418,0.6707935428868915,0.6303319141360512,0.6559317278784689,0.6506625897601276,0.6517727879031058,0.6691783387582438,0.6828992613665639,0.7430860327283672,0.7177183656803277,0.7454888858206625,0.7837132161441375,0.75070105491726,0.7611697295842976,0.9337215819473544,1.603530911579381,2.141875279821916,2.3144514163920724,1.2918979290059212,1.4051123885167078,1.606594024210696,1.3054651617722817,1.7540906366937596,1.2011219503062374,1.167741218295018,1.2744413973721327,0.9712551100713649,0.9486199177781197,0.9306638307896162,0.8287470806784937,1.3447686264989793,1.0736035322203161,0.8409032315963072,0.804050519523716,0.8278634001637133,0.877986277110301,0.7450924584535156,0.8388561497081335,0.6709021416939822,0.7545643098206686,0.7055640885925041,0.8459334306401577,1.118151961453462,0.7651680247352888,0.8376410041381941,0.7082456333166781,0.9973167205750146,0.7061854996489385,0.6877733900562882,0.7095854642508587,0.7626586351660158,0.7106826897786988,0.7729412815534805,1.0570282125929933,0.7354807904704337,0.6920491704306377,0.6620938442539249,0.7134624674785885,0.6951980507664051,0.6921057287626946,0.7080216046749326,0.6899033928427935,0.8999708900885589,0.7900250700682977,0.6905046159440701,0.675362836402908,0.7315511763383387,0.7688471683903447,0.6037639045439354,0.5691097527294258,0.6030844897728247,0.5592289710463171,0.6466662176857342,0.5929535792053412,0.6265851924085168,0.8587565998700346,0.6390158799832666,0.6772199133061454,0.654896959669479,0.5680015018253332,0.6687065174264846,0.5356611567562007,0.5339770858212086,0.49087554258621924,0.5259679809652581,0.5943649679304135,0.6353374449922091,0.6661978532328771,0.6729646711297681,0.7630452029333856,0.6316459382801026,0.6213703728789817,0.6055467894053811,0.6142813351826543,0.5812034660123239,0.5135526232019474,0.5132520145173951,0.6180129817145971,0.5307702263464452,0.5492860242739387,0.5816790058114196,0.6750012412680809,0.6938771155790752,0.6521400870585637,0.5868820062302238,0.6068748992312154,0.7523899344750375,0.691594955147647,0.6952015236648841,0.6964267600773347,0.7067633350417745,0.6819995074609213,0.7902428072865746,0.6928668837316304,0.6923702820089924,0.7010647101294675,0.6692350769767351,0.6489928439852339,0.6156173768386136,0.5425275216852233,0.5315112042325809,0.5316992849498283,0.5338893810506175,0.6236919095741261,1.0554199039347258,0.8900689098438377,0.5697458377306536,0.5251730855997865,0.5374686186842729,0.5673533776198532,0.5636618840918727,0.5941827497258247,0.6414559045310455,0.7020024917775219,0.6983647415710407,0.8149222497233238,1.0528433393239134,0.9831749596608333,1.4065333496205705,1.3292552128989843,1.226199793544272,0.9010503457231822,0.6309233937845196,0.6328946672593294,0.6163125781100243,0.5786643357163405,0.5868028419240533,0.5895653918783862,0.6157063775109938,0.5972835518449521,0.6253956868717685,0.9435389446625494,0.5973997791916356,0.6415824964023514,0.7172589023933524,0.7416721079669156,0.7213904670245364,0.8047624181201566,1.025823051107366,1.2913530342559794,1.1267812460881623,1.4441948518054153,1.0458442635829703,1.1512913821909738,1.0861917123979232,0.9044003161571711,1.002390292281047,0.9119419956068445,0.8308449094215,0.7342916522725006,0.820544583292677,0.6030070163001608,0.5649021936348703,0.5581677955089852,0.5396112162219503,0.5597223297978481,0.6149471120334293,0.6804434459043306,0.7188433643349672,0.6968714687530886,0.8003648765896269,0.9487806051127787,0.9745227537042629,0.9708773753258155,1.138416704363096,1.3019320006590338,1.2815364712568045,1.2614687794001804,1.0901179324058312,0.9156575380601454,0.9755278023001946,0.9655087200166007,1.4987771357695547,1.2034014548428653,1.0771137007985,0.641116386190567,0.6237155512979699,0.6923039142862762,0.7568770952042169,0.6809826245005272,0.6158259533806256,0.7597320676002339,0.8860141646613512,0.7677076553355741,0.7610519210361403,1.0509525358568674,1.0350828444389206,0.8891785270380897,1.200222160808007,0.76017456527725,0.8422228920472974,0.7907135705988084,0.7148760976947239,0.8472596211494223,0.8144309482740859,0.895687045861662,0.7731630657013497,0.6960453028301995,0.755528295087629,0.7618819683980514,0.6017682435178686,0.6786329960540962,0.7786159580200003,0.7361124358332427,0.7561020788039959,0.8474670611358278,1.053817676545988,0.9109993268322314,0.8966720721508471,0.806728380627814,0.6972405029354792,0.5873603286499972,0.6235213436186767,0.7279978541298319,0.6712587038659005,0.599447322758508,0.6798299895717949,0.7282074783016734,0.6093240565968496,0.6803469560713832,0.9433728723934832,0.7414051136029597,0.738060274295533,0.8244078623156169,1.0851604815349636,0.9757589412471535,0.8979281319738336,1.392858577854212,1.4003252756979405,1.254933483737182,1.2270720357263853,0.9538587505132369,1.0076425504634057,1.3571828149910146,0.8880111387876012,0.8446359839672988,0.637021747420417,0.5822604747713099,0.5577110984346794,0.6257727346737696,0.565367754421933,0.5660412716906156,0.6408366680583658,0.6081530107683881,1.0327270475369792,0.8048728627296399,0.7065289577078121,0.6991692229414118,0.7308381962843905,0.7140776366635196,0.9240380254507486,0.7786819157042326,1.6649560102018162,2.0257004051656793,2.6082507748300565],[0.45599694490466836,0.615677691694324,0.7332963224331474,0.43160258881676283,0.5316592866362292,0.42468259957541343,0.3136594256714973,0.316871903813018,0.33680891278661995,0.29882734064211447,0.3214195693854092,0.38962429140076676,0.3890232109239612,0.38587417579066835,0.5042949983339142,0.46864842602835327,0.47557264394683085,0.49070987432604835,0.5928187276766997,0.5624212605048104,0.6373320824754197,0.7754636946612232,0.9301942480723557,0.986460776727149,1.22389516337969,0.7767614317563593,0.585767252785098,0.5306985459633188,0.4984170971121899,0.4666723585826547,0.5014356542557487,0.4523337662504651,0.49745583955217954,0.4849588187878292,0.46910102411059074,0.49722006117528744,0.5095620596661071,0.5716008886029509,0.5723469696488078,0.6152841271321026,0.6905465589810668,0.6407301721612882,0.6500373184538293,0.8574047109535305,1.5545642869805893,2.0618918542521443,2.2841994948493087,1.2419643033024779,1.3441180847043934,1.5723789686800318,1.2292965865521344,1.8023708624388148,1.1415547296146582,1.1457364835774693,1.1659605663390349,0.8551273205183049,0.8344566259087689,0.8708719703227448,0.6836957796671431,1.3432637108509098,0.9300646372571926,0.7055509957012784,0.6913716990715579,0.7708874959179094,0.7789749086032909,0.6227059533979262,0.7680879410409176,0.5399209633213404,0.6889268533558601,0.6447638214510102,0.7836065038893854,1.0785571259756108,0.7293364497726348,0.8260948489895737,0.6025308527176408,1.0234094807196754,0.588324458792045,0.5489385202732515,0.5576230291871571,0.6127721334224665,0.5533360963259211,0.6542687652492395,0.9287687722170049,0.6422364668429069,0.7008133446716789,0.5290337765520142,0.5540000682739195,0.5536996697453699,0.5345338679273085,0.5560116730854655,0.5325650721415068,0.7930036487916408,0.6572760808234792,0.5448297095491763,0.5241188258547802,0.6313580631153948,0.6911643208212831,0.46474411939906163,0.40939519494570253,0.48467143600107143,0.41140458731689444,0.5400343947723452,0.4502783684498994,0.45019658162006204,0.7682165170849183,0.5142482236934434,0.5935581952017339,0.5702220686403016,0.4778947330572303,0.5551480043272058,0.38135868590294975,0.4150015453310708,0.3422518259053131,0.36788815081461984,0.41627737310582547,0.4687792021080388,0.5070947955777878,0.5646505134191829,0.7262394167399117,0.4865540775064776,0.5061520875357617,0.4594060182747636,0.4641726919870873,0.41415359873785573,0.3362766487505521,0.3624779949320305,0.5008920690471911,0.4198686989825845,0.44934210684084597,0.47541473336713314,0.6156850042218196,0.6271716988792303,0.586691175359008,0.48614922983642594,0.521135841990423,0.6278630798125907,0.6488194748214656,0.5710582817003512,0.5601093709268715,0.5763885326263672,0.5904612047498405,0.689512847438511,0.605878762524059,0.5772999543754943,0.5755456761165165,0.53736391613831,0.5004585128264893,0.4756374717307468,0.3747080013204379,0.3601663911649222,0.4055566712440212,0.3943422012646128,0.521234142534491,1.0865141138168963,0.866078901531556,0.4312647801666205,0.3604954594003474,0.3718750146068041,0.3981769224820791,0.42587548901670486,0.4943446697586986,0.48821317429386396,0.5619822565161788,0.5559328794467829,0.6562089121626395,0.9111768401129294,0.8706895474980902,1.2564596531073067,1.185573794644589,1.0681326043745758,0.7880460430154766,0.5289986201698341,0.5409288203904749,0.47632488994322936,0.4455302459758306,0.45319491861668254,0.47860224242419214,0.5107021319334933,0.49906959786834965,0.4864756859805266,0.8249175206319104,0.46019035953834375,0.515928637885102,0.6083395873248856,0.6243452096841084,0.6129879247041737,0.6963850322136407,0.892689637398351,1.2091147677569556,1.0848137410839678,1.4336460716409005,1.0074614314492276,1.0916096289464874,1.0231596555627058,0.8398490627619996,0.9676576833316066,0.8816765170029927,0.8002144132839197,0.727133075385145,0.7857371636339917,0.5513401738215945,0.4907549145289292,0.4862652724001175,0.4721831742243197,0.468743654673303,0.5110045774663877,0.5882478043362993,0.5987415840802061,0.5838029289364056,0.6779114722573744,0.808357649198202,0.8485111580240231,0.854061030803409,0.9943157086659863,1.1956407308694432,1.1205197799281796,1.1756181286740488,0.9692420871341474,0.8022134612876775,0.8658226740396554,0.8767311825606711,1.4368898332376852,1.1314064870107234,1.1147665187426632,0.5842689158120776,0.554084316539091,0.6433057211805826,0.7276802231099965,0.6501808024081048,0.5827937698015148,0.7582700806095118,0.8956419282192781,0.7859170336370868,0.773168184745094,1.0434245604532313,1.031199255269941,0.8970641461763578,1.1927324294625954,0.7628776778049431,0.8125389815017052,0.7910921697803448,0.6943307460901905,0.8336301772698385,0.7811796531269866,0.836966389893571,0.7260570946823206,0.6118894464949255,0.6798942245429123,0.6807133254872508,0.5082871283463355,0.5944047074833267,0.7082523100065617,0.6456857109718578,0.6622121283712902,0.7798074594554396,1.0007105113968422,0.804690881529476,0.7964160614497279,0.6958872913537758,0.6024881762288774,0.493487954096036,0.5405814658829979,0.634509858376155,0.5701618276143792,0.5221099119512662,0.5976590605242319,0.6403488526487399,0.5406725778603385,0.6296298009183201,0.8953302245946029,0.6808046523264405,0.7320676442882016,0.8094664590437339,1.0751051949043866,0.9489762898716625,0.8287163101099787,1.3145872232282736,1.2595452418483628,1.1436495971458882,1.054586453237751,0.8151717674894269,0.8360926860372567,1.125265762651006,0.7409579029646121,0.7491068296512466,0.6734674512277385,0.5778213295151379,0.5133222891385425,0.5865779985193698,0.48998647129533535,0.4468786477269197,0.5460011081034217,0.5317445241961903,1.0302534286749216,0.7070192809745633,0.5606898691432839,0.6043743082373575,0.7454375959776846,0.5807506982830095,0.7961378772386729,0.7091019414392631,1.7512895127793282,2.164863708255975,2.7862226526380023],[0.44465100896530246,0.6199828815200799,0.7811140955335579,0.4484453838312865,0.6273855258939025,0.48381423787474737,0.3903586131046401,0.4047606462933402,0.39742237124749297,0.40097583183932445,0.4285403438146766,0.4741896942399069,0.5207689041824137,0.5127854053845706,0.658538520001137,0.6157855404266425,0.6292595768596094,0.6635318609528784,0.7320960691106225,0.7245373475614922,0.8133575054262316,0.9361360878596029,1.078365781817041,1.1587236750795527,1.3284585148984764,0.9132134478037224,0.7586391029706249,0.714514867621316,0.6795142845037603,0.635981253148178,0.6630912050226284,0.6163406777800755,0.652510220724032,0.6699754136472765,0.6456560282778184,0.6698363028668227,0.6943826555940921,0.7681015255183732,0.7521557103139178,0.7993718347422426,0.8710255721829278,0.8065627734477626,0.8196207198360086,0.9916192517287646,1.6508486567226328,2.0843241270151545,2.395244915519854,1.3682132816406307,1.405227545556917,1.6792440493760088,1.3477313320259867,1.97647641107746,1.3063390862340354,1.3173581488897292,1.2541076326524156,1.0019287236964083,0.9544259332258336,1.0559195834129071,0.8293325534450536,1.4384394650867498,1.0148746071671884,0.8449683254513354,0.8470618138665629,0.9600404878451912,0.9273046579065729,0.796766495746392,0.8965894778753266,0.7007594122362523,0.7954795205797723,0.7826937887843904,0.8836865166409389,1.1771129197916754,0.8454902267214923,0.9412045697471979,0.7580915706984785,1.153817770354476,0.7537618858668712,0.7194543301530459,0.7353029766451658,0.7742246392114545,0.72905898311862,0.8478086328708179,1.0204096207321758,0.833323665203428,0.8882224275076154,0.7146916143380123,0.7391222465425477,0.7293003952726532,0.7046716887809842,0.7221708788864218,0.6974083367008763,0.9365073139792756,0.8212617472140962,0.7097077903110764,0.6829988687453294,0.7803528988938877,0.8242356180027658,0.609103221453964,0.5400913712164176,0.5541070819453365,0.5413753602241351,0.6491203161809622,0.6147699580286956,0.5874109080718151,0.9837853082518839,0.6547558405347635,0.6962993277269113,0.7045474809888819,0.6029062542818898,0.6410607268313997,0.49523636854469694,0.5709434058718849,0.48250502959709224,0.5235103067698287,0.5655556527259397,0.6199364044282356,0.6586266099831007,0.7251966752887761,0.880315662717643,0.630428118622807,0.6479932640214606,0.5825998173921519,0.5777749419564773,0.5536329926140706,0.4706963825718377,0.4895863601830729,0.5876816717676642,0.5361428842992642,0.6077764898231649,0.6256843635508064,0.706452001313293,0.7242828460417973,0.6908467160168051,0.6315093330768788,0.644017889260598,0.6821888518408215,0.7166122111635095,0.6696509900101101,0.6569527719167397,0.6973452760975328,0.7270325573263696,0.8135952196296289,0.7759559752929039,0.7544248483189313,0.7573186926488573,0.7036129766685223,0.6603316330293344,0.6345434838541001,0.5511931277738763,0.48539973123901564,0.49519220356721155,0.466575814153786,0.5707597479172765,1.063164186638275,0.8911257438960237,0.5411881012264992,0.5042764574098733,0.5021804222094807,0.5582812638704584,0.5966624730869229,0.7049275595139123,0.6630506975278992,0.7166604769426751,0.7275300127429977,0.7631129309520474,0.975615051174142,0.9328878104272647,1.2224236589935025,1.0971051109466636,0.9860568879955913,0.8092431089513843,0.7060330715206268,0.7300121050317502,0.6521819179507309,0.6467557990791272,0.6484297681583956,0.6605450374208999,0.6649991010378428,0.702595781750893,0.6666291233734261,0.8967462348858546,0.6659275367705875,0.6930978540701559,0.7491651530675439,0.7625031497008727,0.7545284850817632,0.8551107341995253,0.9790932395446613,1.193823744849688,1.190907948308371,1.536841099231396,1.089998301065424,1.156258234380165,1.065306831185347,0.8911618029076738,1.0251802651470523,0.933699700766136,0.8742135338702931,0.8166939726092899,0.8353042714801239,0.6510967779600366,0.5957780511264189,0.5848656136325764,0.5758232282979764,0.5700968865046283,0.5977118185431446,0.6773350061815012,0.692830557519139,0.6489276003770108,0.7279284894620549,0.8701404230821012,0.8932566300589955,0.8725075564259496,1.019933327417019,1.228478887363606,1.183722102667922,1.2122657867282316,1.065811449432979,0.8886684224726713,0.9395343400295629,0.9655971344919033,1.4742490399824362,1.1992411386050534,1.0696174059705723,0.6710807329884164,0.671439561706449,0.7567946097558457,0.870239821481834,0.7427135791169541,0.706743657940523,0.8521686372787668,0.9985436962934879,0.8489152951023801,0.8413992888843909,1.1071423950156614,1.1091862292115906,0.9714159087015583,1.2070258919468961,0.8527200734888258,0.9302437844047563,0.9025420990187552,0.7981010666097796,0.929090576935327,0.8670676310149074,0.9335812159465773,0.8177553579376899,0.6999394044193339,0.7608166447749904,0.7556777549855952,0.5791299927733676,0.6372439430475708,0.730185778476162,0.6805528267047385,0.7005349507150388,0.7880871471546036,1.0059545539689392,0.8358258473531339,0.827778273550479,0.748805091169952,0.6620141663345995,0.5701855424997785,0.6219762478874608,0.7066351486173424,0.6567586554072352,0.6086081855095994,0.689896050132628,0.7273470274575834,0.6406669924159707,0.7226049806909856,0.9753711557675585,0.774546876982028,0.807616162262131,0.9123130157114167,1.158049827855203,1.0445286673196614,0.9380701822513896,1.46974723564815,1.39434833284133,1.2558670897409565,1.1731866030863327,0.9099976305807609,0.910106982046037,1.229994283053417,0.8587714724013477,0.8765418470986474,0.6706248517036998,0.6306764611708054,0.5985698554402236,0.6708787262896924,0.619009234979209,0.540335829728314,0.6077873704162067,0.5775833205608972,1.0691297943117921,0.7213009908092507,0.6278885777929647,0.670878651134495,0.8022109863135626,0.6157929489812989,0.8233437448516563,0.7755988537735561,1.9288531644573137,2.3887719837777106,2.9444482899517728],[0.6276007315703303,0.7472935164733806,0.9183816291763012,0.6694243656481226,0.8043394920818759,0.8148155483687192,0.7888586203690292,0.7910984877283297,0.8299013191108757,0.7940948724895863,0.788180354981508,0.8369444132114784,0.7669231517539995,0.7872217004140839,0.8391952750878499,0.7824473724309606,0.7305229746290897,0.7211907580180233,0.7398675025501013,0.7236867752699062,0.7303682427273931,0.8120608711664324,0.9008905900248184,0.989960017632294,1.1854294909668943,0.8398483811355152,0.7134659277692255,0.7015212461810646,0.7235581514284202,0.7587691104466606,0.7706301696796268,0.773238236212386,0.8436143561136726,0.78353089117845,0.7542404998365022,0.7438972939689703,0.757307155501182,0.7339515945921836,0.7022903311116053,0.689686160043731,0.7771549605472925,0.7501616730910359,0.779507148118766,0.9647646203247506,1.5459169103459773,1.9978008512126142,2.2037769121124624,1.2974473690529702,1.4008484715036826,1.579569258726386,1.215602355165763,1.9885755586973688,1.2107518836656996,1.2177204736484735,1.1588431347227712,0.9252584023836737,0.8904591827446192,1.0018794695133502,0.8174940649868764,1.391921588102558,0.9230343162224695,0.7854775858626736,0.7852797475344108,0.8063333254878049,0.8187381262149039,0.7279689620091482,0.8584556477477847,0.7244823225007077,0.848929881677613,0.7808881941388199,0.878851558278692,1.1637904601262883,0.8435846097443339,0.959192662091647,0.7688883218820673,1.2002105737987376,0.7394947338390679,0.7598115478001148,0.7459191480311632,0.8009906922162122,0.7525710156391799,0.7876368765604749,1.0470449882711168,0.8511450387989263,0.9711742450072851,0.7409890621501388,0.734714605336672,0.7933756790050454,0.7577375797161333,0.7694735316324055,0.7772302450990934,1.0075113051741882,0.8906534740919327,0.8390733359626353,0.816241225684113,0.9178713628589187,0.9652519310221687,0.8647264427029896,0.8697679876029053,0.8850549785387676,0.8380721953593495,0.8763741566820171,0.8406292414799099,0.7822787024211834,0.8921763438012811,0.719185348867932,0.7764569850747581,0.7231215102335959,0.6731780530531909,0.843831455960526,0.7190328842853343,0.7311281374267722,0.7609907429616357,0.708079120673818,0.7146017472657776,0.7295722201883555,0.7151964805322489,0.6372242009373229,0.804692400755193,0.7142392089964199,0.7420793479710897,0.7986418743194389,0.7160252837207862,0.737398051999707,0.789156540389315,0.7091394209986349,0.8284550530758086,0.6886291417039163,0.6515875750766396,0.6094318611215758,0.6529466322829729,0.6412636819236779,0.6167098897275651,0.6282360153075951,0.5950867842600418,0.6334442707231263,0.6967278958806663,0.612158778233482,0.6056059421376897,0.6275657744119723,0.6007991017334896,0.6918677351208925,0.6582702867464075,0.6484810147857494,0.6552616930918449,0.7074946429530536,0.6796089317397767,0.7319099556864276,0.7251246276216531,0.7913573266997738,0.8134444090204489,0.8269271760192222,0.8916827000675347,1.355059236181855,1.2019604756150262,0.8571014305512,0.8219649271737732,0.8012318772651001,0.7844330590816533,0.7658250402430149,0.7648812446868986,0.6592987115566721,0.6279844591548339,0.6510630008616326,0.641866943759296,0.7770459271957803,0.7712709848664365,1.0274097777774596,0.9889623660911728,0.9060630961559173,0.7097902504919448,0.5927530733876274,0.6652351619049796,0.6330797536975633,0.6676506294845654,0.7008059949684166,0.7939675020043937,0.8310007026647539,0.7680854536186952,0.6836561163884673,0.8566980808102694,0.6585364655178259,0.6473256894279238,0.6683305002368503,0.6851745223052159,0.6953632022451637,0.6856205437558598,0.8768222524656311,1.1970900405933476,1.0705905958559951,1.3877194919288576,1.0219960240941814,0.9986278000479996,0.9426760837429354,0.7738192827666902,0.8757261716647295,0.8332205632179259,0.7810943742878729,0.7414641127146631,0.8025525518966187,0.6221270111546163,0.6637189695328348,0.6487232696255135,0.581802893982993,0.613106079758804,0.6918664830512142,0.7070371558373574,0.6852233561860174,0.7102469375380903,0.7805906164657095,0.8436024155749389,0.8657193246468443,0.8967223916132772,1.0121955118753696,1.169549273362226,1.0815663022213304,1.144820642988632,0.9266050969048996,0.7992511366666352,0.8598073314503091,0.8506634869680685,1.564142026671966,1.0893223364973335,1.2108889843736759,0.6938351848387833,0.7054204282279976,0.8183868996623165,0.8512577187983024,0.7019251300518689,0.7023906720440467,0.8249786503867597,0.9005329160034639,0.7842047021058876,0.751962159667299,1.0352476614111843,0.9541506095063238,0.8515338942374243,1.1241310207445272,0.7515471600797137,0.8527038043425887,0.8905005675303062,0.8598082054615506,0.969842648796772,0.9292421992703797,1.0065073589288356,0.8886617681308437,0.8128731218940513,0.930350981207533,0.89168399709683,0.7048210444728624,0.7888676850275022,0.8808950565388576,0.7886156974647895,0.7750604907992746,0.9018924857853378,1.094039665773184,0.8729801240532407,0.8638091885713556,0.7766944519019245,0.7057598649375345,0.6423194957133935,0.6170850950331097,0.6929557851417462,0.6599427502465482,0.5865016740980843,0.635537808411019,0.6720967232389986,0.5971936940284295,0.6469353434827023,0.875379651664719,0.6967642719176792,0.7131040862590294,0.7713601870531073,1.023884791982755,0.9244514407537455,0.8211575578000286,1.2758278945004822,1.2613722511006555,1.1044498156136717,1.0162649841413427,0.8390682024250193,0.8648393449072316,1.1291901363717358,0.7865164951315151,0.7781380240747824,0.6748710017394278,0.5943806653739957,0.5848579277809962,0.6591246316864947,0.6768738420003347,0.6839370029778657,0.669040556819336,0.6730324691192372,1.0199462999719957,0.8290136535470078,0.8603049294674374,0.9286381425758939,1.0730137045227683,0.8197680743970288,0.9271481936492849,0.8645000552318619,2.0997047546947933,2.7204311546292295,3.243976117462719],[0.46062941213453906,0.5950198285537893,0.7092734169988573,0.39893188318013517,0.5304404886594473,0.4697866813072796,0.34896766216857406,0.3616416802499713,0.37275161530024514,0.3291546015126926,0.33999083808557595,0.42432372248312833,0.40297717329694677,0.399392706888818,0.5154490415110656,0.4691831642664615,0.45373435227587244,0.4533277907360649,0.5374776086149794,0.5084163420190501,0.557643019492419,0.6925442342036032,0.8251365004227749,0.8697353473817065,1.1340069006155649,0.6933831265278353,0.503972515205429,0.47317893700760355,0.46382340022774077,0.4506817692701989,0.48979450028521493,0.45606339456351463,0.4899480077805698,0.48170303665919406,0.4581934621730934,0.4700303303362278,0.48799192014937925,0.5241845943039303,0.5152105138712135,0.5341317118485716,0.6115026722303388,0.5642545894176668,0.5717142663080064,0.7980082993199679,1.4833955352338997,2.031671846714884,2.178739494287452,1.1796026244260385,1.343559573263219,1.511372379081398,1.159272022796989,1.7747014851623681,1.0642769003725125,1.091298833124481,1.1473489280775904,0.7756743481163532,0.7743752766557882,0.8320974882715012,0.6514515599636437,1.2658470692196575,0.8956327611089459,0.6522664160197308,0.6311758066551214,0.676267754877924,0.71243636132037,0.5524028226970916,0.6982984100191637,0.49195274865846395,0.6439048826928312,0.5847544629653916,0.7494266530096555,1.040532938626678,0.6759909837692566,0.7775398996248757,0.5537599096963002,0.9710282129138456,0.532572223679159,0.5045276367142638,0.5145821740745219,0.5620501747908031,0.508133863461916,0.6009420430063855,0.9179168446877007,0.5858306206289168,0.6583694790090442,0.4882226537805933,0.5035613949103169,0.5198782123106829,0.4888065492166535,0.5502919767517482,0.5050090656975903,0.7647453397355861,0.6362822340366531,0.5300351543977737,0.5198604681295196,0.6086257634340723,0.6937634352920075,0.46635339398779874,0.4262844173438758,0.4809567585440494,0.41865813810385033,0.5500304366682188,0.4585772557181241,0.44816225228159795,0.755550524630667,0.4967799150038048,0.5644052755685595,0.549217525731875,0.4642864055409253,0.5503264701272266,0.3632900609708581,0.41362247905004684,0.3725336006978724,0.3667835337625634,0.4165622228904207,0.4415245641096509,0.4693389437667598,0.4913393585064354,0.6300699924606374,0.4514378383945821,0.4716955551168974,0.44336226705367826,0.4321924868579522,0.4209930007059145,0.37587466361386807,0.3421312855202115,0.49552226479047745,0.3858214672786436,0.44706709504250197,0.4656896725645545,0.5912817252862556,0.5835739767681634,0.5334751684182832,0.44065798778815024,0.48047153015513183,0.5949537551666302,0.617874939847884,0.4995295712907797,0.5027849586412909,0.5188520913104121,0.5020472888848349,0.6078134905071303,0.5246488043657722,0.5074687776713461,0.503675094309921,0.4973953465328057,0.46316232079832415,0.46447033377232283,0.37617564633113343,0.3788558778732067,0.41931276041564935,0.41286735805201447,0.5292535030021319,1.0432697772943853,0.8551171277858964,0.464466950665165,0.4030764707528902,0.39502715301187674,0.41377927754125277,0.42218451501824045,0.46679593704492567,0.45077899559412693,0.5043676324619941,0.4882281320890733,0.5615674117699174,0.809599994909596,0.7822203671435555,1.1379843221910995,1.1265615220749936,1.0421858469715588,0.7525528600270477,0.4384258049300316,0.45336640819064766,0.41462116893167533,0.40416757085531735,0.43682778443296255,0.4694436820324135,0.49856017495108995,0.45950497171101623,0.4489639578915839,0.8019223956929122,0.4208523927062494,0.4541839993275252,0.5422218482357284,0.5499079557006837,0.543788331469978,0.6105060836731661,0.8064902196331667,1.192962037129106,0.9920486687158505,1.3387718023638568,0.9779811354993074,1.0278908453064757,0.9613908340902102,0.7735884086913022,0.8886571992775362,0.8347508443318681,0.7401028706202711,0.6775077321477017,0.7904318210904412,0.5384058380379947,0.5000360882300778,0.4910385007755318,0.4533076409088695,0.44322546238019706,0.49865029284146495,0.5698055983170389,0.5565400094017402,0.5382459075515157,0.6302639004168326,0.748040479094554,0.7521764337558544,0.7746132995054019,0.9314801151026766,1.0932381064116208,1.0569578931638872,1.0549829174397012,0.8841217389710477,0.7196844689258802,0.7677794461432039,0.7567893665887833,1.4711252132898502,1.0424403560460818,1.1863093287193025,0.5785665221363869,0.5593716490770412,0.6445038324982383,0.7319432262275586,0.596265146895103,0.5523920864020759,0.7170366751257337,0.8357939203254279,0.7024034016918748,0.7006275338540523,1.061147140480374,0.9260635580818315,0.8204766998030205,1.181965056503132,0.70920799364849,0.7889536726195024,0.7720938776154269,0.6964640204629489,0.8545712182421896,0.7953198674034656,0.8851971824902953,0.7466407571085123,0.6172882295686838,0.7047410642078433,0.7019605011494134,0.5063325882613386,0.5726041778841996,0.6808508265979749,0.6034757240722618,0.6079637657871272,0.7105694843515868,0.929344688678412,0.7280917143768325,0.704945498292732,0.6139514837517168,0.5332910625914827,0.46913697711457497,0.502056830067793,0.5561166112514455,0.5169511479695016,0.48361267159287435,0.5267469481464097,0.5718010677242373,0.4936772311609549,0.569857984959592,0.8184574992555229,0.6292692148966046,0.6518316339105269,0.7289961822454918,1.0112968596740894,0.8958496126949149,0.8011081635205154,1.28395152665722,1.3130859318530153,1.0841830477239691,1.0267928794763326,0.7810285876842666,0.8026671036990336,1.1758797131853664,0.7640082250014226,0.7495535375127034,0.6602363501378185,0.5352057572145092,0.48686278362391755,0.5595520713103097,0.4813329828924937,0.4413000389194824,0.5507090660586421,0.5467588450953146,1.098062816069254,0.7048411015436188,0.5508648940846521,0.6500892482407786,0.799052853332318,0.5962397690766398,0.7829811321200169,0.831887923235018,2.13496672514532,2.6782229712058054,3.103630668456016],[0.5829653969474963,0.741335938272772,0.8994168822335706,0.5374469082869098,0.750617458606719,0.6691233163599123,0.5817379410033493,0.6033577946625567,0.5475547776410623,0.5304690127028856,0.5197437226597544,0.5922271328542754,0.6289562058175936,0.585601293270845,0.7208805363226943,0.689351811997756,0.6849933441117716,0.6950846534179491,0.7290128502881432,0.7331093795977054,0.7770045124609001,0.9150680417687035,1.03288907511837,1.0730240390779242,1.279970749761271,0.8534475332971965,0.7357737130118811,0.7399326051214787,0.7296726897165704,0.720374999315225,0.7120797757718442,0.7055975850899469,0.7131631296152054,0.7356475806152426,0.7179948383888575,0.7258999851712552,0.770227772561347,0.8080487525600025,0.7834359239826948,0.804426113657984,0.8468121776681963,0.7877360228566035,0.7909632512853126,0.9364840342511213,1.6095470230771816,2.078229084246019,2.3259803417876515,1.311117626947926,1.3779799094731975,1.6196950837412585,1.303187683501892,1.9344057867688527,1.2606665580117367,1.276340473528729,1.2154675463999067,0.979200587730364,0.9294236487572743,1.042137035548295,0.8216846373468814,1.3950045387166337,1.0147890376022495,0.8332214612502317,0.837036355519085,0.9168389223408545,0.9091592803768204,0.7719728558664087,0.8592284843473739,0.7031386317727133,0.783645851578634,0.7784520015545369,0.8805838680638984,1.1635584636046423,0.8244792251700884,0.9113097521930741,0.7510310574470733,1.1102239741237325,0.7682061996771602,0.7424455735505582,0.7611920381732029,0.7693430983008612,0.7651567687832765,0.8588960112809974,1.0808596962896322,0.9105773975032277,0.9197352642263146,0.7794866664500705,0.7656677375784325,0.76857970833783,0.7441469111662093,0.790589069485808,0.7452410054966658,0.9259676244709852,0.8234019539517257,0.7374493811015068,0.722766007509023,0.7702683684938522,0.8432203976681827,0.6666754393878495,0.6323686613369253,0.6510340885510917,0.6683477812872135,0.799749183596725,0.7555335847532094,0.7378649787650052,1.1460777250800416,0.8025013812249722,0.8145398288789264,0.8163294767662048,0.7466155455463845,0.7804306843512664,0.6749428243442261,0.7272820793489086,0.6565898263782364,0.6744757089432679,0.6879567165036249,0.6963311998537846,0.6992610954993755,0.7217174209094648,0.8261040367993672,0.6378670724971462,0.6418339033595778,0.6144867130698107,0.6005660745012745,0.6731851604467802,0.6230032501493,0.6348846464892263,0.7232210047176981,0.6750965618489347,0.7736933184936173,0.7504203690858182,0.7745738401106915,0.7811505928725823,0.7163461396225058,0.69490335471035,0.6857754894839254,0.7362195459093754,0.7430206454355468,0.7062850175229513,0.7004699462371045,0.7341559994912831,0.682938528521393,0.7546441500954137,0.7475276903941873,0.7666582341808724,0.7720702900970222,0.7620789923879909,0.733381710618255,0.7455881800857258,0.6998048594680393,0.6457084900315785,0.643408697714508,0.6193855549767149,0.7389883303977224,1.0549679402000685,0.9155012831482076,0.695852167510384,0.6568432004261966,0.6841564986723934,0.7102619621480435,0.7519450855457661,0.8246089953585941,0.7399317905815929,0.7591247342338139,0.7628949352620693,0.7261515889191557,0.915540913094113,0.8737347714028184,1.1148418416883663,0.977873633829521,0.9035182682050336,0.7648632035181577,0.7216626736011401,0.7565412079492169,0.7129204736384492,0.7201383419886648,0.7537673812523555,0.7627284764855777,0.7513964135664256,0.7609140317403723,0.737205941314849,0.9095111497024118,0.7707171440698654,0.7365684576563929,0.7578598419925615,0.7631485508970407,0.7209364791103487,0.8291688941370717,0.9093386312676975,1.1532408086975987,1.091681767484481,1.455178967969649,1.082609085251769,1.1189581614248025,1.0384932665712032,0.8664576417226079,0.9678651931535937,0.9297735973431642,0.888869163766529,0.8457728115275711,0.9122655328895402,0.7618033187317003,0.7420903673682401,0.7216319573071878,0.7072410875475381,0.7089273352281718,0.7546632509428126,0.8125974006891451,0.8227905680655043,0.7776792643401139,0.8453632443375642,0.9679597503791056,0.94856657125574,0.9344184134954394,1.0756007522091218,1.2130790638494597,1.2633800410287443,1.1890012649297346,1.1153143791182054,0.9632548915110615,0.9855138723812109,0.9899747387522243,1.5549964364479403,1.2299841767881405,1.1195474046523635,0.7689455381856319,0.799697552408586,0.8697112595174368,0.9658636079717062,0.8067717236810539,0.7951797511816617,0.8908550555815955,0.9869966178910011,0.8038949416559142,0.8373300903198001,1.1817277419449383,1.1023754921471818,0.9529162940593575,1.2161547526855305,0.8617914054696727,0.9988791594031445,0.958008811844441,0.8980925874782659,1.0365681554162907,0.9951892121938992,1.0849146567458623,0.9439456450218514,0.8351877179368911,0.8920615604047736,0.8831837804042868,0.7260293487053046,0.7559315782496937,0.8227414183349899,0.7791043550655655,0.7983444699072334,0.8447674874163065,1.0440013616672337,0.897767685410537,0.8766844330603952,0.8240528992515248,0.753560571562386,0.7122109271271473,0.7499292878974866,0.7929544982740909,0.7720740081142037,0.7192542980277933,0.7743320173547773,0.8096329834858226,0.7435431795424184,0.7966749927079718,1.0109401229958255,0.8598776634371852,0.8393502876420116,0.9524756240904245,1.1574019742306276,1.0811714945890623,1.0312985902604241,1.5557174128935432,1.5645641205932266,1.3082752721958189,1.298446364378846,1.026454246094112,1.0396610383053082,1.4472676224396994,1.0605079385697151,1.0389659293536697,0.7584575694931834,0.7259177729995218,0.7303769405387524,0.7642689048316118,0.7410915448924056,0.7032805380888303,0.7216569199261966,0.6870691166327287,1.127765175901331,0.7874726901231084,0.7617565535280184,0.7917396498173409,0.8610036395173215,0.7503777577906551,0.9344274732903315,0.930947101923615,2.2563904283750684,2.839889833014593,3.2230747046663475],[0.4029989855724099,0.5200980896498686,0.6519535368319737,0.381378358076476,0.5299209228919673,0.45530240146148404,0.4333405116989998,0.4975370329662611,0.5118139354136108,0.528382743222769,0.5618240679113139,0.6070087536649563,0.643901796984797,0.6362703741728468,0.7957744365654675,0.7240878175576199,0.72455318478395,0.7296094059578377,0.7432453888063598,0.7304111060783817,0.7594414928955432,0.8454742717097709,0.9689099656465386,0.9919413854631155,1.2737004879661555,0.8744274961750342,0.7139359339762107,0.7251678172317956,0.7227578319723521,0.720961106508141,0.7604373647166291,0.7121105708785815,0.7563247474118768,0.755818656314016,0.7103772447898389,0.7134084271855518,0.7493305200100799,0.7801211685986996,0.7204643567839526,0.7554241515930229,0.7703349403552078,0.72581666111021,0.7247055898239444,0.87146698768788,1.475477576751015,1.9164553677224665,2.1684702934134186,1.230520582960892,1.316989792765234,1.5161759077980297,1.1943794918926949,1.9077328360184889,1.1899147325847783,1.3275634825448777,1.2616848170651054,0.8703908807394758,0.8273562592927716,1.0234015745526752,0.7687179657958627,1.3405216801329,0.9694784236726192,0.8282815815911428,0.850171559902616,0.9200407837875558,0.8946915341842034,0.7730814408954672,0.8869740302458632,0.7381894217467688,0.8111813050016824,0.8553951291070266,0.9483569344291513,1.223942073196523,0.8982161339967258,0.9434932605506,0.7997223740083271,1.1079940616751622,0.7916961101604489,0.777343334063686,0.7686822531135811,0.7556416000492467,0.7311209066957425,0.829850887968413,1.057017350665794,0.7622949194398622,0.8432669442064499,0.695131193238163,0.7232779984520852,0.7397930395215268,0.7190809428007241,0.7750457893770767,0.7780834595764545,0.9682065649695815,0.9102568462446993,0.8154320345600604,0.7951004628780575,0.8978618386337717,0.9441540563017016,0.7336405252133371,0.6737982179053028,0.6798269014975573,0.6600288705459986,0.7006808953871807,0.6685926300228288,0.6195954069079855,0.934363230877751,0.6723082620390983,0.6599156165893951,0.6824045260796894,0.5844415581438085,0.6761237060033434,0.5037135845663429,0.5913279778942974,0.5481926926190748,0.5603141227482314,0.6499318065953623,0.682343123007002,0.7098881449661852,0.7019607574971107,0.8475835915682545,0.67531006415614,0.6972359625204949,0.6562349464491063,0.6208758475252841,0.6237631283086137,0.5128200325660055,0.43431140053249295,0.5627577688713739,0.5076317109503109,0.6413141381515668,0.6800677661212107,0.7080873535493803,0.6887479030780082,0.6685752311157219,0.623170083319021,0.6384679803818917,0.7089937889396088,0.6959396810501607,0.6101410153963629,0.6121050988033145,0.6460043387715453,0.5773614091408985,0.6817426084507285,0.7032746981916167,0.6972589546100928,0.7040930332911319,0.7109405079340781,0.6696516057036588,0.6721753266634715,0.6018058631729174,0.5710128977985924,0.5703533201474851,0.5692773641981798,0.665948102130814,1.00810527834727,0.9135501051403463,0.6467243333822188,0.6177221716752112,0.5966204046506585,0.6441278885184214,0.6036408708373339,0.6831925283033928,0.6892951989785074,0.6877539705407537,0.6911735629969239,0.6614140221906701,0.7772760103315626,0.79660019556342,0.9922954725747203,0.8884422781615178,0.8654462590608442,0.726077610694596,0.6151659324961211,0.648184851465397,0.6519175902770631,0.6528395157218313,0.6717163739884024,0.673317816932408,0.6786850733359302,0.6921896903659756,0.6698721013999615,0.9647825420051381,0.6588524028709862,0.6603358777177666,0.7195954328621138,0.7049489601875041,0.7126273865753687,0.8282935596016155,0.8122939689136429,1.1956002470453517,0.9755652968200959,1.3895821400300774,1.1332950522394847,1.0738293960206307,1.000393392975626,0.8447465999706001,0.9298463405055175,0.8944985192798671,0.8132939694155009,0.73185031400345,0.8803677946965476,0.6577812814694206,0.6161003478504502,0.5843220597287384,0.5508522077016886,0.5246159230010703,0.5454220059042825,0.6276890403335653,0.6115856199501204,0.5521855991341326,0.6175631128078628,0.7519418457728678,0.7210163099823848,0.7242999346533965,0.8966612782090617,1.0686512343586552,1.0694002001616696,1.0395956458441333,0.9580415917254407,0.7808556232397512,0.7929892317938925,0.7976178090623396,1.4707702436189651,1.0598865903709025,1.2382268689170746,0.687712727769556,0.6933298701171372,0.7352026271708976,0.8455211363685962,0.6764860910280934,0.6579389138342758,0.7730581208340028,0.877478504187753,0.6988738238375417,0.7443746545158858,1.1982596466092645,1.0540484006713569,0.8999571062016488,1.2603122573997323,0.7479478907363158,0.8998188314347126,0.839394226216333,0.7612906222755247,0.9628274650454357,0.91104996393915,1.0442531405807047,0.8424186353863294,0.6772644199249513,0.7921986264908109,0.7729071039571436,0.5676757834634423,0.6007126211431304,0.6838606296898628,0.5970877012551452,0.60470262760078,0.6718823469106759,0.8545874089740857,0.6831689912812444,0.6619116706750644,0.6020796553899894,0.5574920869125689,0.5453825500655937,0.6159055528762348,0.6030973613987559,0.5759906616314459,0.5904281983612173,0.620588394206195,0.6485919518002644,0.6048989633029865,0.6996457336411827,0.8921680825349704,0.7376629029707478,0.7483495458553491,0.8649519945749934,1.0963367447373038,1.0057257082218676,0.9305189512250955,1.4671082992845463,1.478897481380192,1.1869322363817392,1.1566327846131508,0.8655250410839401,0.846572484030439,1.294569649625418,0.9220723657045687,0.9319462321048352,0.7277360497331776,0.6190979296790059,0.5910008429413313,0.6394057759533772,0.5678568696785974,0.49215595334827794,0.6270714324275538,0.6253833074521357,1.259208414707032,0.7218485875280579,0.49267039145791824,0.6660832245120044,0.880413379716441,0.544542164564399,0.7313227905563703,1.0829204544583766,2.6396788013585075,3.4624689915558213,3.820664859631977],[0.4136085407150309,0.4603506879981003,0.5375516336662314,0.42613146482867775,0.4614970452766883,0.4338002485461382,0.3930288635750363,0.41567111873354123,0.4158559162630166,0.3579645360445531,0.35798803726966316,0.4362742198843857,0.4058027623422481,0.38480682636061053,0.49563635562225894,0.4333469611300682,0.3928509347865428,0.3723153624978465,0.4653432256554606,0.4271231299632645,0.4880818659162178,0.6096194728244249,0.727314689823843,0.7839917369432594,1.0492502788116898,0.6338954029845549,0.42855363407476227,0.38699033076100264,0.38414119087087545,0.39624121345357616,0.4321424425003287,0.42206485564795093,0.45735055444993317,0.43938954332022395,0.39654502368899386,0.4004893174191147,0.4324218735697824,0.42693027553128704,0.41859783722321076,0.45925612138328015,0.533794479878019,0.4835775019023339,0.490741702043318,0.7508134929990296,1.376354667371162,1.932652173581522,2.0068664451975544,1.1206830327207795,1.3364574807692076,1.427808619116051,1.0801976161564275,1.786548281632562,1.0036378792314857,1.0763684352175882,1.1347011364824835,0.6704234883978919,0.684684972650563,0.7981876864601736,0.5810360971033108,1.2167007187475847,0.7977726130708046,0.5648600028655334,0.5516536537148834,0.5951675695170928,0.6305187916272919,0.4806489278786822,0.6553713864066733,0.4153199134377668,0.5916457892417446,0.5269650295916382,0.6933435298154893,0.9763072575473916,0.6140331496722566,0.7236566909304711,0.4888718017223529,0.9490355852110802,0.45376610514713556,0.43694515091595615,0.4368774831980456,0.49622929506916047,0.4335653593054019,0.5407082326554493,0.9138550257644878,0.5142162234752294,0.6849785218949404,0.4143867635595392,0.42290734534974034,0.4713766549248737,0.4050946934193523,0.4824263242293425,0.4448630369774098,0.700933562545798,0.5916863953116281,0.4855879511330791,0.48083444092110683,0.5820848060076919,0.6817904145026509,0.46415098823260653,0.4419734734431585,0.5093686382799606,0.42931985780095283,0.5527713207296382,0.4493337034510408,0.444339303373777,0.7033860931012489,0.49623205814357024,0.5437580503289217,0.5374018940933969,0.45677059408302756,0.5919234605985345,0.37993105050610737,0.42949511889231046,0.42689679597889957,0.38074496495964844,0.41149658358629454,0.39585345188063464,0.3948973659719186,0.35597260200604275,0.5297229768843267,0.38274629421171,0.4121451708654529,0.4099059686828795,0.3707582894133757,0.4309505377916678,0.4141485251703632,0.3156581524514717,0.505183155934115,0.3967179901114355,0.47962348848496855,0.5135982917307029,0.5934361633436099,0.5553154134784853,0.5314983279439248,0.4818272004146499,0.4996427549972197,0.601285051010407,0.6054616294654921,0.44883998136095105,0.4313289033109981,0.4001209983309215,0.3877416121900588,0.5005852370748142,0.4200354591680115,0.3927259065310917,0.3912603819517131,0.4126977538935604,0.37372954879248094,0.4275800740208583,0.3775357613773609,0.4099288110265521,0.4476547385426555,0.46702552410157555,0.5574947588616945,0.9975578571827624,0.8617014128986324,0.49569618740399274,0.432320916563242,0.4258303000710681,0.41509703531889225,0.39854892164240285,0.44515179006146743,0.3965249426015195,0.4046539117964594,0.40585343999132245,0.4380797024041025,0.6307605981871645,0.6440558594261063,0.8948932563975064,0.9069261285748812,0.8953563971172803,0.6654955146671171,0.4009136350498989,0.42020941191753913,0.4028512424656247,0.3809534274024728,0.4251062421698568,0.43276310304109294,0.4857646035188754,0.43855892211071934,0.4131642834303706,0.7543658290056066,0.4110444473025372,0.4387822339568485,0.5141720704255408,0.5184583211196508,0.5074649405028816,0.542899973191023,0.6958540428202388,1.1855357017435562,0.8867535707114186,1.2479224016440857,0.9911162812461509,0.9234794583611314,0.8665640714376515,0.7105539288199484,0.8188673457344186,0.794220186250159,0.688089610549212,0.6452435708080952,0.814632446790536,0.5699089650723951,0.540374091039365,0.5142922147671167,0.4623026477950894,0.43825235493199777,0.46679297709778317,0.5240460900652035,0.477681904035707,0.46791941259386516,0.5141107714568336,0.6166486163520849,0.5917065649543155,0.6310537017422958,0.7858246169706891,0.9332858523818586,0.9049318376458562,0.9168938705632896,0.7760062805488658,0.6181274006810817,0.642860409804065,0.6258712881844111,1.470963668302657,0.9470305715293794,1.3428890378048897,0.6262293180642681,0.6060488728450507,0.6662201791669862,0.7758395868800343,0.5992395284536179,0.5536640816494822,0.7134742118490205,0.8223351223624201,0.6726924634521059,0.6868494350803818,1.1260967166233604,0.8995229805441732,0.8031321724552478,1.2228728988836515,0.6930726570248713,0.7665185071346307,0.7487301140698227,0.7044011899113883,0.9043002703848002,0.8598902990420834,0.972681917216169,0.7898331962779909,0.64148607541798,0.7731471216979351,0.7440927596334462,0.5289569234804203,0.5849046201856283,0.6680915069834243,0.5609801984780982,0.5608413674634182,0.64026695147826,0.800963819775621,0.6053764800611059,0.5839441535447469,0.5147193230618577,0.4828509707129213,0.47105114271343235,0.5248396547814838,0.4973015814052693,0.4669425376232941,0.5052313873915587,0.4936667193912228,0.525077060321467,0.48739166430414343,0.5733302839201999,0.7643440988015014,0.6129038733892056,0.612597745589729,0.6944012621199731,0.9552199000990285,0.8678554771022372,0.7958733179286491,1.2551146147318593,1.3587660734149123,0.9913611410322485,0.947778543993472,0.7084150024714752,0.6921423383202356,1.1176464279648926,0.7659096698685139,0.7592933092798182,0.7218893734652587,0.5547019232264729,0.5021318940015226,0.5471974771068965,0.48088263153841454,0.4058432031199993,0.5947467528357353,0.6319905865968664,1.272603421420849,0.7160548270385847,0.46835861179310523,0.7011206143972185,0.8988835827261478,0.546521352711891,0.7347463681338449,1.179526602203289,2.7632866511783813,3.6213243382978524,3.971414826154788],[0.6017040236148923,0.6718850443618207,0.6468725820091098,0.6736823362112849,0.6392146406213336,0.515879687102082,0.43036453086550464,0.4415046390336526,0.5708495576154408,0.661575261434395,0.7374182071395559,0.701805014077709,0.7091638804813213,0.8195657999566448,0.8813227340564197,0.8063678398585309,0.7894637557933418,0.8480571379979246,0.9786363490750737,0.8539797814348111,0.9021619346801554,0.8899671965721453,1.0524844385392855,1.062500667897922,1.2955186679995578,0.9899428503003561,0.787340725504337,0.7574726384341806,0.7394415165244259,0.7192747311326251,0.8331407708702123,0.7279292282027966,0.7726138595319786,0.8077182703505655,0.7749356440966223,0.8055263679737454,0.6546799488419474,0.634990976543323,0.6037847374779339,0.5464449629431006,0.6311878778836322,0.7398345255551131,0.7528165399084457,0.942535063963067,1.4447495817440086,1.9339860590499385,2.0022747271515913,1.2362743628681157,1.3548103343188331,1.4540253543234807,1.1614971161487406,1.8082228480207465,1.0774262756777873,1.0760308426278022,1.0204549326398944,0.8607808845572535,0.9135924559714417,0.9901827177038688,0.8628946886228147,1.4906889287453227,1.0133884436024676,0.9106605041249688,0.8790391137441109,0.9160406753904984,0.9357084985672094,0.8488719483774543,0.9885244012036075,0.89751008678572,1.054240855722383,0.9705069868264147,1.0562526640986039,1.3047688692205746,1.0157642512213987,1.1470054910630227,0.9444090224489692,1.2986295346708354,0.8938035103226658,0.8734538038716624,0.8037110085048845,0.8481542892523974,0.7065536364916291,0.6248414137312207,0.9100352067932157,0.7415966241252006,0.8667395662221441,0.6100390516017477,0.6909640856575708,0.7275535024683859,0.8045221263426563,0.8225619198976865,0.8866408854013066,1.133072731028639,0.9964349230288331,0.8762374942069037,0.8464264965009675,0.9313194808187824,1.0185652268379763,0.7912873297206391,0.7653717297493513,0.6794990275480999,0.6696435714553161,0.6106746498142164,0.6246227906196125,0.4917705907392845,0.714371913405046,0.534155945887184,0.5809534171826172,0.6489641497224294,0.613600273371177,0.6126621344788217,0.4773120199766974,0.4356387747105037,0.37786246938034573,0.37472084605035866,0.5752716078433021,0.6381101627509161,0.7818500716153998,0.8706943871605081,0.9873658913577741,0.9804876696501149,1.0432568193039675,0.8819036816452578,0.8705662448442109,0.5806594402668434,0.4594543929032021,0.37355748397048394,0.6598620920394563,0.5021306947632052,0.6610539287109976,0.6031491327495454,0.8389699083073461,0.774102896595319,0.7619654526807056,0.5568854336724122,0.6836003389049867,0.687339766429023,0.8894636437468506,0.7152789190465927,0.6948211800490571,0.43444334101790844,0.4873293967026968,0.6408836141101204,0.6805182695344751,0.5459086123491995,0.5282138285122137,0.631772103542205,0.5543224925310714,0.5782016301211415,0.42012410787224863,0.45760591653557287,0.4305800254570522,0.48459949865008084,0.575177156431453,0.9462861632516648,0.914644642795538,0.5714605266605078,0.592117371532541,0.470180768165509,0.5665092960958883,0.4415593270568326,0.4989036209189825,0.4581074504384292,0.38058056435110693,0.44927594341909777,0.45399203978964936,0.7207311818771063,0.804702391413825,1.0506656793364255,1.1109486625275788,1.1377778531043556,0.8731872646940407,0.5683661477245509,0.4611290367647624,0.40171604450166326,0.42530825309128717,0.43369175301801144,0.5884603944968211,0.5538140312492021,0.5663905521229607,0.4227875992382599,0.7405100127172352,0.42481561159917214,0.491618999018429,0.5823069998796532,0.5808887479649848,0.5282335948391151,0.5625894408574651,0.6634135418420524,1.210356113678713,0.9020448346433404,1.3727467813775212,1.099758451897065,1.0961032831793718,1.0694693462022458,0.976287677821688,1.1167154254845195,1.0940033030782639,1.0114012766130311,0.9699139433908803,1.0335183985412189,0.8875385159951353,0.7716285093695586,0.7389104361561019,0.8167695502175337,0.7578891783990982,0.7020308007998591,0.8018058426377346,0.7995489662967311,0.7012434935747133,0.7073615025916546,0.8313073439204322,0.7843257151745586,0.7537962234238469,0.9037610253467075,1.0116024357302678,1.1058311384939554,0.9946961853487531,1.023387088044129,0.8794015047107809,0.8674670088788873,0.874188579785932,1.4111199500919072,1.1602785721273932,1.5131962827504746,0.9660001570869176,0.9378847468789507,0.9446444151787134,1.0875998800521585,0.9760903338975113,0.9026898459265199,0.9932871660732784,1.1226693403626546,0.9927672699358707,1.025380117377082,1.4642212869751383,1.3103001567319346,1.1808030201063031,1.5204010463729578,1.0211634838620358,1.0470766008625345,0.976962178858436,0.9250613015026612,1.0750308753539457,0.9958434029463291,1.1039894557912096,0.9495949628919467,0.8289640445791164,0.8820270999551376,0.8614382407941125,0.7318825793418903,0.7227641154335366,0.7315096119003986,0.6928000093734703,0.7418948405237448,0.6989450175744972,0.8250811590071058,0.7472242236363018,0.7293695926974997,0.7350159645430493,0.7344037194533831,0.7545021585706533,0.8383408603860615,0.7827170557857814,0.7708184172882329,0.8671307562984614,0.8720821286327296,0.870327317518658,0.8976923705708666,1.001528504934061,1.067058164322097,0.9980856337743431,1.0492376697176748,1.1542249597545606,1.3127263454819713,1.2349865233479327,1.1671316987882085,1.614718965240618,1.7679531857219377,1.19455705469221,1.2038123726204655,0.9898582047292116,0.9254039889202338,1.3334195337351953,1.1068142161920174,1.1441451469974049,1.1828879787746145,1.0017434847328917,0.8927675154418684,0.8373295543248467,0.7219257540891288,0.5878119803710431,0.6489139671768589,0.6838181327369272,1.1550084746912344,0.74751721195574,0.5593667541668993,0.7241798921361687,0.8905301448248714,0.6356154946929542,0.7409578568150913,1.2150339223715654,2.8000557869288785,3.811858042830359,4.008469023171084],[0.7043105294892007,0.7196780398736748,0.6719205052570959,0.7981476274768277,0.7026611724720548,0.5597661159282759,0.5163136405828058,0.5786537413721347,0.6956946079982494,0.802746730759067,0.9358056319527651,0.9402128010966578,0.9568567137280178,0.9887501350575272,1.1492119955935456,1.1036977232706815,1.0713533607208365,1.2072695476942945,1.352336203681319,1.2243920396252168,1.2874095724330998,1.3013682971065923,1.2479544281301633,1.3127230416853952,1.4764776053885638,1.2624152697814086,1.1686205383534345,1.1130418048708974,1.1124894054714387,1.0571172719564748,1.199507634486796,1.0846283915737711,1.140941999227532,1.2113750206398501,1.165301199062183,1.1897344331666955,1.017975179284266,1.034730148973352,1.0288849912637557,0.9595161868204816,1.0212899106346165,1.1664099810321071,1.185832406853538,1.301616505885822,1.7298305955008768,2.1174348488002237,2.2391183784408044,1.5543828941398719,1.5979182916343593,1.7050827605677357,1.461775892873394,2.262965925056656,1.5585214922802861,1.4516719775597677,1.2590048891813148,1.2964464250567427,1.2543155556436432,1.3489801878873346,1.243554625213842,1.7640671291892667,1.302898465804259,1.2609027640875372,1.2559315560736997,1.290869301376422,1.2700405579547158,1.2237167979870798,1.3442302630385012,1.2776943649102412,1.3640756823339621,1.314938961893354,1.2965001534215352,1.532555490973741,1.308107239156352,1.4211108509078558,1.3100402800212645,1.698570240401936,1.283672117876782,1.2836203451801047,1.2070158485846292,1.2623032585427836,1.0952166547950513,1.0021739164689545,1.1616302094433462,1.1014852671356488,1.2546773874749129,0.9953957290836586,1.0895130994138416,1.1007048797148846,1.2092405245108657,1.2273040746472996,1.3004626933954495,1.4748061491170796,1.3561406418120503,1.2402561561929442,1.181763287674659,1.2075002082087367,1.279325150753739,1.0859074507500184,1.018385589127318,0.9494959816129322,0.9793899038931958,0.875723946442203,0.969521926498239,0.7521012444444225,0.9557286092984453,0.7201858569706789,0.7000534105877478,0.7335019961056438,0.6686286754469698,0.6877504098155246,0.5965208340854474,0.6093021042357905,0.5858766497291917,0.5816925922489357,0.773822030182974,0.7540844308518844,0.9808635220916145,1.040413160977384,1.3312232381847002,1.3102658089942274,1.3434106194691926,1.101791382561199,0.8337461414991459,0.6086808527097524,0.5425173668039633,0.5055195820874658,0.7280162628006163,0.5980943242164873,0.7629372043655478,0.7115895484301864,0.884177022426071,0.8270152609592994,0.8449460113894575,0.7068690913798215,0.7919368683686155,0.7661327772195641,0.9218132370002216,0.8282193908578233,0.8652920352219936,0.6729202890225391,0.6135887609869795,0.8551714155109205,0.9653886641310832,0.8242227450512989,0.8991613060079028,0.9782617723058413,0.8275284355198693,0.8137568937739501,0.6843139512311819,0.683970010189159,0.6360214831976476,0.7279652045827527,0.7656487782084903,1.1273749015370484,1.1749657986547921,0.8534611787631496,0.8585672808569947,0.7380036955947097,0.846120656746919,0.7126214438298676,0.766769471971584,0.8291904989762082,0.74495573856803,0.851748577203743,0.7492082458393795,0.8813675366960391,0.9046336159532423,1.0793293798901755,1.1006239544186431,1.1574202717360047,0.9614233270314675,0.7833830923620543,0.7062413156965445,0.6961637827923554,0.7785123634887462,0.833346850827247,0.9677772829915994,0.9550353478280517,0.941576098511533,0.7715355539748776,0.8382091050159083,0.697007574638437,0.7277944418351426,0.7691052625429218,0.7702285038639809,0.8032271073505136,0.8365045969127218,0.990773339604627,1.3598701320676543,1.1449853025180161,1.5966856356297516,1.2435389358693316,1.199794814463018,1.1337578889538287,1.0440025668817978,1.1824599078266926,1.1459559267559662,1.0580299339699288,1.0062622002025472,1.034808593978253,0.9034677637956945,0.7953126962786184,0.761077726083214,0.8398470323698486,0.7747780691033597,0.72352183118078,0.8377297966749436,0.8185957554394107,0.7188107628514505,0.7405596253602664,0.8578673978359942,0.8067348569408042,0.8031466114389431,0.9347849812162484,1.0314913435884723,1.1626237242304929,1.0324846633232294,1.0933748965965542,0.924492880166419,0.9097597660138385,0.9001211433631772,1.43254275161493,1.1906233040337109,1.524970785154177,0.9819903655477867,0.9547141716634467,0.9706118569647695,1.1438591663036135,1.0068655336088586,0.9362774382686805,1.0317176275554412,1.1717590984036212,1.032736941720779,1.058581639658591,1.509565789237291,1.3526934402027724,1.2100768305187506,1.5133078994560292,1.0516098985937834,1.0683195935459222,1.027155165529225,0.9613525178398955,1.142647867767974,1.0808596542786952,1.1984547116356523,1.0134044605011883,0.8881308868622327,0.9351895500073217,0.8767133770030828,0.7184635887030079,0.7065241426947536,0.7441158687019388,0.69779226238635,0.7270297683321331,0.7300889446553889,0.8761928725265071,0.775772495478309,0.7520512621600811,0.7432497233200479,0.741797209024589,0.7520192309941471,0.8497528191832193,0.8001251461141649,0.7874202414873499,0.8827881557925364,0.8972104785269212,0.9059680572267186,0.9328241282502823,1.039907128355374,1.1168776440655253,1.0421174748799524,1.0984784580306453,1.2205951558805297,1.3831018573133278,1.3125051096493812,1.241408097435951,1.6911876344002525,1.8655058831920481,1.2820603388649305,1.2798201014430288,1.0540684698500178,0.9812976520656572,1.3911022407823708,1.182326495884528,1.2261421951398839,1.2395555334810906,1.0374428922671943,0.9245708514881108,0.8597489211497719,0.7604478682188108,0.6276576574934671,0.6967543004528758,0.7316473032572983,1.2319007857877857,0.7473140282396501,0.5436329032595079,0.7532141779834693,0.9281269196985263,0.6737222607054733,0.7677477706449309,1.4597241824347968,3.135876396694252,4.303948889320543,4.650141919683646],[1.4845702169398756,1.3807773562709875,1.2837281463987875,1.2149625184617068,1.0716243782269923,1.4570479612592189,1.4040458616985692,1.467762814964497,1.7006079496961297,1.6813709970230808,1.7302647013585666,1.6473474561150638,1.4614359893072153,1.6423654595643746,1.4606120524680537,1.2999138911154688,1.1701674913322262,0.9791105766474071,0.8677076052424617,0.8428717960043738,0.9023544236867147,1.0372404905280028,1.1435884907911342,1.3144036161419088,1.5307575067283596,1.0870047249980688,0.9259284072810767,0.8558725249513206,0.9354656641075935,1.0386824852113896,1.1221574527869547,1.153356512931707,1.195673639030367,1.078188440799015,0.996238127748569,0.9351023518428082,0.9451700084595887,0.8590477784795668,0.8723938441120185,0.9445526786661079,1.074552310775423,1.0321443929039023,1.0815182231534848,1.3588354128559401,1.8912603805881847,2.289091989671649,2.376204874164308,1.6154662865348148,1.7123156090996308,1.803035927286989,1.5496547216211183,2.2791252133977227,1.5936931606038294,1.6501523159678428,1.4754986841634563,1.2257726656553358,1.200548444569819,1.1723265300550645,0.9875516460446045,1.4977965327905989,1.1990366937616366,0.9643813260905331,0.9381031287431527,0.9759403835077188,1.0684073824880684,0.8849905472348825,0.9471696018023839,0.8156373775279007,0.9144595886109107,1.0818259158139025,1.0862506962180714,1.3194488877486614,1.0270371001037149,0.9923312298549831,0.9205292723212329,1.2691034362267268,0.8656218655362049,0.8657552600510515,0.8682326018146014,0.9057109243129897,0.8667275813463774,0.9189937878755405,1.130816297605734,0.8848121820264194,1.0095136136017193,0.837530016451772,0.8528761343056749,0.9182041560382171,0.88082766276085,0.9682380690912487,0.9612737254232576,1.1452089490788708,1.149385004965586,1.2198572909437568,1.3025056575767249,1.429096927280038,1.550889567284929,1.3743063432835927,1.4504396168185696,1.5495447311183421,1.2570016428737236,1.294374113956985,1.100436646022674,1.074042045323617,1.0947309549833109,0.9619191680665327,0.9478831005279892,0.8768099628159012,0.8718778236395319,1.040134384374139,1.0593012069603833,0.9948466897101599,1.2353480267832124,1.040259038022657,1.2931888841461932,1.0795195145585297,0.9548489511738799,0.8670441580094908,0.9473121136702384,1.0330755594379837,1.3005520002068414,1.6109283994794028,1.524698041172857,1.4497543299148907,1.410376835895506,1.0007919386709985,1.2690342753602368,0.8711101745579009,0.86598008989111,0.8049405172906631,0.8181394531887772,0.7975610290065351,0.8442262636332488,0.7911744932858799,0.8176925054702258,0.8078657415929584,0.7759015811345875,0.7374921871645695,0.7561459697268214,0.8066347344421043,1.0342538415665052,1.415378715555974,1.1338808209604332,0.9105889905380881,0.9270797065582939,0.8697357087237139,0.8446573337790034,1.0222240587861842,1.0399022621522291,1.302711842001729,1.2609483736994767,1.5205686483266059,1.4914938955154997,1.9527352539981764,1.9229392921964403,1.4765657657381008,1.4085772883557122,1.2644884959231424,1.1770311066546275,1.0050122005915458,0.8990780196327117,0.8389440255596599,0.8446383225138155,0.8723770619779257,1.0279739269967028,1.1788470854721695,1.1309125549143129,1.3665216229076906,1.2242780481881435,1.2492489952765984,1.015880952855801,0.8469540822332126,0.799198657664198,0.7780553477627806,0.7909253678266667,0.8821809464917229,0.9761296656742233,0.9015244821868359,0.8254441832570873,0.790492137005609,1.0150622303109955,0.7880851890465823,0.8203204402835864,0.9429541745626059,0.9441164039061563,1.0409301936067887,1.1091507538807124,1.357036274020574,1.7407492929506585,1.510889654355963,1.9167064253892194,1.593032729229887,1.4641213395192267,1.3010837945397817,1.1008532077669129,1.1056921384749931,0.9994240713158705,0.8876156158625266,0.8242918005105782,0.9739690924976497,0.8389640426461156,0.947299395895564,0.9199876930408806,0.8346496546560773,0.9144694586890573,1.0682979912775643,0.9857643910873385,0.9649362835811905,1.1167526601149271,1.2147939294236982,1.213303857475884,1.2324892009234465,1.3861543198065442,1.4472727157364753,1.4111229106430092,1.4141435128303743,1.3959457793867716,1.0922916572081423,1.0121757725685867,1.056646055534257,0.9425371527475462,1.7431553733209053,1.1486720158020418,1.4108600968605782,0.9093320253814035,0.9403266236927289,1.0194758784075382,1.0563598876939169,0.8675895892747287,0.8807498834502713,0.9582399649312361,1.010023657058666,0.8143956445573852,0.8421358482380304,1.2995356342942879,1.0698585909942124,0.9375733315419824,1.2872132947532573,0.8284945132469159,1.0069312618734665,0.9979890711151126,1.0510820058155779,1.2650851161242975,1.3015216577469972,1.449919879743252,1.2339058388499853,1.197933995597329,1.3572690651144508,1.3019865361182683,1.099342974886457,1.2463471593131719,1.3686480380979624,1.2679091047858182,1.2349566312325437,1.409503865637092,1.614430889853927,1.3332512571405215,1.2874963135385418,1.1406498067735067,1.0828422590907156,1.0157251174420634,1.0002102047209789,0.9877894162657619,0.9722325651854173,0.8923894999523344,0.8504800804891964,0.8816847535549135,0.7977998808596621,0.8204083616003277,0.9054329703399459,0.84161925029024,0.8058483756786248,0.8733897511647323,1.0670115807429184,1.016730420610254,1.0128434273632467,1.4599150243317722,1.6155390001757157,1.2075118373007814,1.205681712851576,1.0632056233811793,1.2241142018871232,1.4645542990145568,1.070830853116282,0.9866810229983911,0.9278221568742614,0.8214412224826578,0.8344222302293143,0.8152655371884387,0.8974743688057906,1.0454452820474793,1.105097883659089,1.1696002632831857,1.5896557117152286,1.2892399569984794,1.2493250772243967,1.4031561974733444,1.5511349854855272,1.3976455254906417,1.453672617697862,1.895999286445335,3.3696636432746563,4.450274789503908,4.957702789256177],[2.232980360934431,2.1566196241881626,1.92047428844189,2.16750604932562,1.875575760139746,1.952923360178714,1.8664788817312985,1.8238131524102736,2.0576452753125714,2.056128054296205,2.2411603357507484,2.132961293841491,1.9301682148526789,2.246207883553421,2.2709997106204662,2.03260609597465,1.8699835644233125,1.990063258953088,2.081942670646814,1.8010888807304712,1.9493292579958656,1.9313087012933934,1.9503144874612968,2.0496960059028506,2.12564290969713,1.793489899867412,1.5874365038762266,1.4955477504244432,1.6811104920051632,1.6709910950935218,2.090013935407718,1.8434462882782643,1.9682532032990891,2.0237977207203253,1.8406170172990415,1.8276718113307764,1.5658075625416394,1.4804663324633085,1.4596593250987766,1.554121908941171,1.631583268261879,1.7681475011868015,1.8505485590177235,2.071563558406392,2.3932056040212317,2.7497198744363383,2.7596564351387913,2.309235479505039,2.3614817552749225,2.4254040577261815,2.236616875509652,2.7410828179438522,2.1939356981500016,2.081335965646391,1.7764784848788169,2.0388204607667535,2.025392520146983,1.860637579080334,1.8770949480003212,2.4514478811251585,1.9837980189177673,1.924055571346195,1.948114256564715,2.0340273290287154,2.0253473643389404,1.869084533440485,2.067659496007838,2.0577329706711445,2.3402231609449484,2.414853017784669,2.5241477083640604,2.691904866977576,2.479437294308764,2.4284153444011936,2.2305619494269484,2.542086228959109,2.027066537782456,2.021038908581309,1.864810163937959,1.8190225875898405,1.618942120897347,1.5067037368086704,1.5966755943290956,1.4158946801372705,1.6405112116763194,1.3937793222329709,1.5722466984753964,1.6025364735866037,1.8099164266151684,1.9419388319161763,2.0714777185183717,2.331507706031338,2.250939114230432,2.2285833065244396,2.226030181304043,2.3708523353106563,2.3762266006247836,2.061550936601031,1.9852318908959288,1.9512314731347955,1.7331089840661693,1.6092764672337811,1.488149015176203,1.2852077361827914,1.3446387213569493,1.2458371152593388,1.2632197848456548,1.2739331963798173,1.3669084003684666,1.4127362896829117,1.454450088187545,1.355307084447409,1.5629605301732223,1.3810253245154427,1.5906404725864025,1.3516119626459329,1.3440519704887384,1.0542772388497303,1.7645745824311083,2.06277648908124,2.2897390127214976,2.149166760672899,1.7866264471055462,1.8342508328997276,1.8706684200755264,1.4849663797620347,1.6366965774353412,1.4065835138108282,1.478299684627105,1.2931566618192687,1.5183484163753787,1.4404174918806758,1.5063850467890465,1.3173708822688621,1.4389606546010918,1.3830545207154092,1.659633501546136,1.5161791611849034,1.5154570990386906,1.249561275786923,1.5917847342942892,2.048567201755109,1.5216632696801016,1.220331100566109,1.3429796829137552,1.2973119835928872,1.1520597433860869,1.3337475081270787,1.2987023790596288,1.5660053256837105,1.5090205597911812,1.8163425693004216,1.7471223803220748,2.186942573897526,2.182821390373412,1.8233927692525567,1.75526114826605,1.5308081095656505,1.5161425703543425,1.2508841996087317,1.2169563200429967,1.1823707014976834,1.1965840426409184,1.3308044116666413,1.6662121298717376,1.8028231600709008,1.8014212224663424,2.1091760040345062,2.037501176987371,1.997432379736135,1.7134186215113998,1.464423853386969,1.3472173299359165,1.1960158057452839,1.1570943958449524,1.1748033869912304,1.331060176981709,1.278191571713443,1.2799955702023342,1.180477702835187,1.277872431805432,1.1650165772977439,1.331337966212347,1.4868809707893136,1.4823652324300023,1.625801861564761,1.5948376100752326,1.976615564755697,2.3237668868855046,2.09066814759484,2.353175228154668,2.165454405860009,2.0807963644143417,1.9790736035113852,1.8230267434668472,1.8760539509107856,1.7401219618743795,1.6525307244924026,1.7022361537073833,1.7040598062725354,1.6513514212255462,1.558273107992891,1.602109320511313,1.7321062389089892,1.6825473134662126,1.720137673823883,1.8482172464315438,1.8271117498249116,1.7738236148771265,1.884281366429423,1.9641762550095214,1.938729429799826,1.9996931133385016,2.066017433364095,2.023501115780992,2.2435572876259977,2.0371623370483567,2.0761154796760453,1.9068061119456468,1.9050396234885605,1.8386229901094007,2.1230782248323568,1.979376705009909,2.291957412930047,1.7413299893051202,1.6515073261646847,1.6205468513627466,1.7190363893147647,1.6843406867299175,1.620436819517177,1.6265858082554847,1.74628508874452,1.7378408807691867,1.7445331727351805,2.032029905465624,2.0643694346476034,1.999378557604582,2.250414819448344,1.795027666230937,1.5816596973699277,1.5471138576084598,1.5523314850191132,1.5914338419348477,1.593595967906807,1.641978828307756,1.5678642520230253,1.5701334365826285,1.6333264182384906,1.6263652493884981,1.6111631145930463,1.6655235712271965,1.7455822404320847,1.74764447227566,1.7426913415999699,1.8070987742229414,1.8982935244742847,1.8866748604603802,1.8317950034076735,1.7894311186182228,1.6972558092122176,1.6345308201196311,1.657711524014713,1.7371845085533841,1.7561736331920197,1.7076926549494882,1.7699624827864209,1.8101066399804726,1.7864143572740305,1.8224419565013474,1.9244212378030452,1.9291875909172362,1.8877223778021255,1.9484261778906147,2.159128276262511,2.1422818806703194,2.168256840319934,2.473149260093673,2.621636356424176,2.2292590436695683,2.2198998359614643,2.0385120613655507,2.0611653771614327,2.2984054181015536,2.1451145109712555,2.1662259130728123,2.1648657792127173,1.9547266503801768,1.8479697348147666,1.6750612474779858,1.6659994464812105,1.6936161530549203,1.605112805453766,1.6874137473409632,2.1390693959451137,1.6941821853225227,1.6534671163047354,1.8469141728053118,1.8936354218434408,2.0627884554339397,2.136432813686174,2.5669581891374063,4.123684249738235,5.173716574445452,5.771604105326314],[3.0044346691671464,2.834598597258342,2.4083664336582054,2.499783739380453,1.9586748281933224,2.59438994789698,2.490065374193534,2.603161399458437,3.113387092783776,3.0771336890954966,3.4356578959878106,3.262014652215061,2.802958343552812,3.3335411408008038,3.2520159237110366,2.8979958214431716,2.569664902142241,2.746064654552019,3.098389928284147,2.9173099591385983,3.258479102661634,3.3306259709427715,3.3568908505447888,3.599172631743674,3.4124451194381096,3.18613949114243,2.8386159050443323,2.4021498082773003,2.472826961475287,2.4429821444639384,2.871385545925189,2.681513165924172,2.8281542982472057,2.8386952323788677,2.6886327629183806,2.6872118306726014,2.404455340953217,2.4788503693824615,2.5531117942244603,2.7231904068527775,2.870319582881025,3.0499663152295757,3.184475983857719,3.4736600158504545,3.862717348147486,4.145053544582933,4.176455590832152,3.7640409888066393,3.736765818103165,3.8526783387621766,3.5899826582408485,3.8914346291151216,3.3892155696860726,3.0220212856663107,2.888617376614702,3.4384665263681997,3.4010644338987923,3.0590215780593835,3.2478867777213156,3.799390737308451,3.3968267872779525,3.1668047075469974,3.040990750580712,3.2044630324665744,3.3266015646623712,3.079004846165498,3.1850372492294805,2.9799647505409834,3.153867496485785,3.0509314779620733,3.057287996925745,3.0980613757949578,3.053425223675326,3.1634641634322964,2.992628117903727,3.3196835070894974,2.9719456362870753,2.9251454202775173,2.849977876961801,2.9294097882677064,2.667472276129884,2.581328972527097,2.3974087920393012,2.4526289930918126,2.560632001657066,2.3860947747729724,2.6503752008526984,2.5586087638745028,2.7921118732158168,2.8209714313467518,2.8944568954575196,3.1046750787694783,2.9977403156050233,3.02698023429941,3.0720146612552117,3.2577329493491107,3.3915170161422683,3.004579152319821,2.9796966196341295,2.955715159666311,2.6173449586475677,2.4158481206039477,2.2808618604944257,1.9475235256560803,1.7925186442195575,1.6224931723539313,1.5747245723248955,1.393352693053578,1.370676418920337,1.6184183837106114,1.6430231294830735,1.5026586688768375,1.919694520271035,1.503898847358176,2.0139129140378556,1.4212144206515518,1.8444433949972179,1.9034906859665708,3.0583245041159604,2.7664018367335768,2.7083515745876716,2.727161651772097,1.8463713933088006,2.0322924036578613,2.2814936576975415,1.3423900742864496,1.726213004852352,1.3007330201389253,1.342227644972749,1.3105460596551477,1.41535243565284,1.4825734606394447,1.8047610791631754,1.6913102729647609,1.7127586237499852,1.4000756351669656,1.4321751207469278,1.3263059808563498,1.2629387976490318,1.4775067391561216,2.331921483082841,3.227994676774726,2.639965546579125,2.045410510605792,2.327758707457341,2.0638995361783725,1.6742516098521043,1.8290862636060163,1.7450421976215782,2.167454858516753,2.093728749455728,2.66996515948587,2.5795612067416287,3.160459410049434,3.154445548865285,2.7609492953067187,2.6501780697073953,2.2645377173359513,2.240083462660562,1.7600449164870589,1.5945047689371106,1.9060790831624084,1.9087181199966343,2.2533211945307774,2.6266119960813854,2.6604885190174072,2.5947725948667575,3.0224037928460827,2.6713584138817317,2.548644993879789,2.150639283568605,1.8605142858280157,1.9531012565764427,1.8677188766350443,1.9159758938554694,1.9116226708094295,2.1048117797801336,2.14056446876975,2.203955345753923,2.0113748644635128,2.1895079724833613,1.656039101253565,1.9962182682821505,2.307700110154063,2.332149474581809,2.7901345052709616,2.7288018305905757,3.2826274813750924,3.7181770101120284,3.4052200914236566,3.3809327385430388,3.0429272476717104,2.898512254415743,2.593872292078305,2.2972286708686833,2.184636713632216,1.7869150751975593,1.6000890176118088,1.5573119425148005,1.5034151181407918,1.5106702032977672,1.526022779750585,1.5413101255258153,1.6398765179384704,1.6862807685833199,1.8482478854830622,1.9380764639998849,1.9433498517120888,2.0157891249761604,2.247553037861859,2.3205005549721625,2.35927290506984,2.528410710742884,2.695576356239357,2.626794310301579,2.611178093484787,2.546646753210842,2.277852715777064,2.0707067059407147,2.1266529940722183,1.9858940543230839,2.7223271513236993,2.1062616684712574,2.0175770754865954,1.6488666990242236,1.5699960260525667,1.5670731339160657,1.647163703550873,1.6235016773876796,1.5168777172877719,1.595567296955122,1.7841780750299718,1.6958343037703654,1.6531728367100467,1.9509482245010137,1.962520758782496,1.8583326352325253,2.098454769913535,1.6274038808350257,1.4890337175015405,1.5553338749249594,1.548417276710891,1.6298247320074835,1.7088974143991882,1.7554486292516864,1.6114519231965254,1.7094713686155967,1.8297866770213191,1.7891505638175833,1.7515443256766783,1.9404656370360993,2.1144642985361584,2.069616562684374,2.045961160086522,2.2538446344516294,2.396174681356236,2.319111850952056,2.2289403329910598,2.089681926152442,1.8850913416896167,1.7317834716076914,1.6699447061595802,1.8452014821407028,1.8523702692861475,1.6393173880732603,1.7396141307636759,1.824819973648425,1.6822662435865485,1.678620323363381,1.909951542578976,1.8724352217492395,1.7401477088432533,1.8232913034666651,2.033393293730147,2.0321153300304897,2.072052319995824,2.326718955760518,2.522363994228597,2.3524288208934676,2.4092348477738237,2.18538371964869,2.350710448810877,2.530776188140689,2.173965513682111,2.108889994338131,1.9924864710940495,1.7788800520431727,1.68414548007407,1.4866844522722198,1.5408919619028971,1.8520003855442393,1.6846825020245686,1.791028125326866,2.1222247694224574,1.914083191869828,2.148422449533169,2.433592381593252,2.311835109799707,2.6869715331521102,2.7251686715529075,2.874655023990923,4.282479419224306,5.080855241918441,5.6378919760377455],[3.6752818112118275,3.541014836152534,3.190441738891682,3.387076509591784,2.8555924418208085,3.0266032991457137,2.917333123153757,3.1945046713152156,3.6602843700159604,3.7838398088499923,4.516211457394878,4.530125530865676,4.137273594549815,4.572911427086198,5.185474173551963,4.821767265334348,4.214886999580363,4.735266672237524,4.8824864687941165,4.478877011146477,4.818244726291236,4.695686380292133,4.670010369580105,4.530403001344014,4.155996082905613,4.091581275758285,3.646221564555855,3.4364988582506046,4.082611098901366,4.187881517651587,5.1947492023473,4.700069058331245,5.059562230537067,5.2225285625024895,4.845273960942189,4.70172905766805,4.194827604232378,3.9030091758747174,3.567692010985038,3.6472437103986346,3.4976089484637165,4.071470973626525,4.232130705978433,4.1242695266055005,4.3775685368017765,4.459063594402518,4.565713043913882,4.317902242226441,4.0979052396858,4.236822737090758,4.140065423212425,4.55106877377849,4.2382179697511,3.896068415429167,3.8905597657542432,4.49509699134099,4.3831813398385,4.381132912511591,4.613361518650596,4.884331458206782,4.716928927707116,4.954535160987596,5.108030998905497,5.220906636654508,4.9984786479652605,4.859646353371629,5.220809455434097,5.219995934886812,5.51921999112471,5.5405111064397365,5.54556879927037,5.719376160639692,5.76032867334662,5.788154998470364,5.581336449850511,5.926291555781039,5.27666610619529,5.345035058759438,5.005046684966879,4.75846103111659,4.414908084966065,3.9543046635646455,3.878887899139181,3.592779734983856,3.618546478353175,3.7103236566226343,4.139746773257889,4.359855161488769,4.7663969892768545,5.125030073386326,5.351308130890572,5.739158213291088,5.620970025633471,5.530318007222855,5.383946600672682,5.576756555955952,5.427268016373856,5.030300933026645,4.717924720358459,4.493500875588742,4.372731394859069,3.8266877206564027,3.817380027170642,3.164127773520615,2.848158701196197,2.618272174475285,2.5800146510705204,2.4124687558394475,2.377305796595884,2.530144437161354,2.4493944487745933,2.333710257250621,2.5761874941426313,2.173927512989452,2.699431727926532,1.8504354641488985,2.5274396975640716,1.858637191176783,3.887356411600702,4.191776622133619,3.714542692367719,3.532833939821531,1.7964080498597288,2.152272141611653,2.5451292949659106,2.0042154095395905,2.358848198331786,2.2331205759883908,2.365303832320342,2.3211790484145753,2.5767885812667366,2.5935141927562553,2.8256419689322687,2.618530275025005,2.6829349675096106,2.379000891189699,2.792014461437551,2.4987255791836818,2.353493350642836,2.101290525853284,2.7897734482838894,3.35687518889336,2.7734332442933427,2.325142847208173,2.8283276220364324,3.026623933850848,2.4762345083982544,2.8768883687933036,2.7363389633806374,3.0459526704955655,2.96160460909601,3.5555463377238743,3.607538522574418,4.088472400717325,4.329128415862148,4.04014454121909,3.9521796762660415,3.4254024636023894,3.5966895843742357,2.823924596019158,2.4998935676911396,2.9312645164605438,2.473754607417779,2.971281529500327,3.2004014379346684,3.362788080605644,3.398247093702723,3.934079291971752,3.819156243234969,3.6708342156965035,3.1640905547712004,2.7037201998148257,2.679980190031455,2.6503866189102676,2.8748197525344974,3.0474384298490422,3.470341943769959,3.577107626796331,3.3740131580417425,3.1184624665004645,2.8798189407920476,2.588019285510943,2.8047483325247784,3.037181775695561,3.0108014557494163,3.3482354491026087,3.2954091860331123,3.7620242979715814,4.063562493698025,3.8645475738294683,3.9483707999337287,3.6884253450280076,3.686298130684525,3.5251441338771934,3.3135490096285936,3.3401185177267076,3.0339887483448695,2.8725088464400956,2.9365772848723566,2.6981077597086522,2.7731791149383898,2.593366303445454,2.611954132824648,2.9051458659244784,2.816371276548497,2.785944154452425,3.1132067743731766,3.123908522748249,2.938958703989205,3.118315466859692,3.335428381693336,3.3048975248321963,3.270621502441251,3.529441516395337,3.6479722527061167,3.707082046068923,3.5767309125032245,3.7619954259933066,3.4282766674646243,3.391987967834735,3.3495547558787426,3.649289583759565,3.397682237591145,3.3795204620533257,2.9818763853050805,2.8178614780864066,2.6993879518847113,2.82638212998836,2.973145538575815,2.849985978256488,2.8315996805199375,3.107202299451511,3.1956273494956995,3.0936427243847917,3.291011810586868,3.5586896986829633,3.5110177062266357,3.625172908867368,3.092582777593356,2.6328493622898206,2.6743297282817116,2.6324087045293787,2.5619164365150673,2.593430395004869,2.546440038398934,2.515791969783257,2.608497030007133,2.6079396725027406,2.577253668519793,2.652626855543633,2.73799262678359,2.8317726064920743,2.845836762783938,2.876835609369933,2.962762950073424,3.021465461268716,3.1023482767048693,3.0530762120508586,3.044539158622255,2.8797004906104946,2.756947309906399,2.7948391649345368,3.0026277637062093,3.01306251633556,2.9071048228061156,3.1262837279747253,3.2202804607831816,3.1442428851780626,3.2258262135817346,3.5315990050004213,3.4967640965717703,3.400772627480752,3.5445022514479265,3.835344315892378,3.8527396236077514,3.8629814992579794,4.250597206458622,4.359878842009384,4.048069181837899,4.0066874534994685,3.5972971182894358,3.4957942236629007,3.909942388563013,3.775103124016961,3.940475846776851,3.787910262263442,3.3541425398726825,3.0400927204675474,2.7626781762063715,2.594771304232261,2.745216462877375,2.520406896375828,2.598976886032857,2.760964328402615,2.556743859003087,2.8123178653735197,2.9563454457500833,2.77919346948543,3.1881429659957474,3.2597763881916055,3.1943681427818333,4.433740367168315,5.1703816142298455,5.773504983569932]]}]}