[0.0015411376953125, 0.0029754638671875, 0.0148468017578125, 0.0223236083984375, 0.4567718505859375, 0.4518890380859375, 0.45556640625, 0.7960052490234375, 0.6815185546875, 0.32281494140625, 0.4677276611328125, 0.8662109375, 0.8096923828125, 0.39263916015625, 0.4643707275390625, 0.788177490234375, 0.462188720703125, 0.2953338623046875, 0.5524444580078125, 0.8636016845703125, 0.48468017578125, 0.296295166015625, 0.5492401123046875, 0.7404022216796875, 0.4195098876953125, 0.4025726318359375, 0.7583465576171875, 0.7325592041015625, 0.3960418701171875, 0.356842041015625, 0.6800384521484375, 0.6764984130859375, 0.2888946533203125, 0.4674072265625, 0.661346435546875, 0.5220794677734375, 0.3753204345703125, 0.4911651611328125, 0.6490020751953125, 0.3643035888671875, 0.4954833984375, 0.7254791259765625, 0.710205078125, 0.5092926025390625, 0.4591522216796875, 0.607208251953125, 0.6472320556640625, 0.3644561767578125, 0.439239501953125, 0.6896209716796875, 0.533538818359375, 0.4423828125, 0.5411376953125, 0.8295440673828125, 0.5562591552734375, 0.4547119140625, 0.534210205078125, 0.775299072265625, 0.485748291015625, 0.3175201416015625, 0.7890625, 0.834197998046875, 0.45391845703125, 0.4129180908203125, 0.80029296875, 0.79742431640625, 0.46807861328125, 0.5807952880859375, 0.890045166015625, 0.5148773193359375, 0.4034271240234375, 0.5263671875, 0.8477630615234375, 0.47247314453125, 0.329833984375, 0.629486083984375, 0.82855224609375, 0.5059051513671875, 0.34228515625, 0.5648956298828125, 0.8087921142578125, 0.4903411865234375, 0.34027099609375, 0.818939208984375, 0.7388763427734375, 0.4256439208984375, 0.3732452392578125, 0.729644775390625, 0.76678466796875, 0.4522552490234375, 0.5171051025390625, 0.818267822265625, 0.794677734375, 0.3009185791015625, 0.5362091064453125, 0.8033294677734375, 0.52850341796875, 0.2977294921875, 0.5841217041015625, 0.7100830078125, 0.369140625, 0.4979095458984375, 0.6245269775390625, 0.82904052734375, 0.489532470703125, 0.496826171875, 0.7057342529296875, 0.745330810546875, 0.3319244384765625, 0.39581298828125, 0.799407958984375, 0.5484161376953125, 0.4686126708984375, 0.6009063720703125, 0.677459716796875, 0.4412384033203125, 0.5710906982421875, 0.7543487548828125, 0.8505096435546875, 0.462493896484375, 0.2696380615234375, 0.650970458984375, 0.66461181640625, 0.3257293701171875, 0.5929718017578125, 0.7875823974609375, 0.6496429443359375, 0.45904541015625, 0.53594970703125, 0.71844482421875, 0.4390106201171875, 0.381256103515625, 0.437896728515625, 0.8213958740234375, 0.4545135498046875, 0.3171539306640625, 0.5938720703125, 0.801544189453125, 0.4452667236328125, 0.458282470703125, 0.8195953369140625, 0.7282562255859375, 0.404144287109375, 0.4789276123046875, 0.7555084228515625, 0.8428192138671875, 0.3397216796875, 0.562103271484375, 0.824127197265625, 0.7892913818359375, 0.3636016845703125, 0.5788726806640625, 0.77276611328125, 0.5162200927734375, 0.4291229248046875, 0.5325164794921875, 0.7996826171875, 0.5179595947265625, 0.42926025390625, 0.6941375732421875, 0.8465576171875, 0.3763427734375, 0.442138671875, 0.72137451171875, 0.8347015380859375, 0.4896240234375, 0.37506103515625, 0.7093658447265625, 0.816131591796875, 0.432525634765625, 0.49560546875, 0.781463623046875, 0.8377532958984375, 0.46063232421875, 0.5269927978515625, 0.8420562744140625, 0.5244903564453125, 0.2256622314453125, 0.5217742919921875, 0.827850341796875, 0.435089111328125, 0.334991455078125, 0.615447998046875, 0.8123016357421875, 0.5714263916015625, 0.420135498046875, 0.8387908935546875, 0.8350677490234375, 0.4771575927734375, 0.319183349609375, 0.7745513916015625, 0.80816650390625, 0.389068603515625, 0.6546783447265625, 0.645751953125, 0.826416015625, 0.397918701171875, 0.5015869140625, 0.6801910400390625, 0.4341583251953125, 0.479278564453125, 0.4039459228515625, 0.82373046875, 0.4776611328125, 0.252655029296875, 0.5078887939453125, 0.6639862060546875, 0.359893798828125, 0.5991973876953125, 0.6599273681640625, 0.841583251953125, 0.46893310546875, 0.54443359375, 0.57147216796875, 0.35986328125, 0.555633544921875, 0.5092010498046875, 0.8219757080078125, 0.4600982666015625, 0.259735107421875, 0.5236968994140625, 0.6761322021484375, 0.357421875, 0.48284912109375, 0.5753326416015625, 0.77471923828125, 0.444427490234375, 0.6187286376953125, 0.8173675537109375, 0.5462646484375, 0.29345703125, 0.6416015625, 0.794342041015625, 0.4611663818359375, 0.400390625, 0.7067718505859375, 0.825286865234375, 0.3684844970703125, 0.562042236328125, 0.763946533203125, 0.8372344970703125, 0.4798431396484375, 0.412200927734375, 0.831268310546875, 0.8360443115234375, 0.328582763671875, 0.683807373046875, 0.8491973876953125, 0.8242034912109375, 0.3590240478515625, 0.6259918212890625, 0.8343658447265625, 0.8291473388671875, 0.359344482421875, 0.4669952392578125, 0.8375091552734375, 0.796173095703125, 0.4233551025390625, 0.714080810546875, 0.84429931640625, 0.6159210205078125, 0.4183197021484375, 0.579498291015625, 0.827362060546875, 0.5102691650390625, 0.3480072021484375, 0.718414306640625, 0.7873382568359375, 0.3251495361328125, 0.5536346435546875, 0.77728271484375, 0.8483123779296875, 0.454132080078125, 0.64068603515625, 0.747802734375, 0.539886474609375, 0.3514862060546875, 0.6356048583984375, 0.7874298095703125, 0.4773406982421875, 0.460784912109375, 0.6797637939453125, 0.5958709716796875, 0.4743194580078125, 0.672271728515625, 0.6209716796875, 0.8302001953125, 0.460693359375, 0.6494598388671875, 0.6842193603515625, 0.390655517578125, 0.3548583984375, 0.57373046875, 0.8437042236328125, 0.5102691650390625, 0.3527069091796875, 0.7007904052734375, 0.6617431640625, 0.3592376708984375, 0.6163330078125, 0.6221771240234375, 0.8098907470703125, 0.4608917236328125, 0.583831787109375, 0.6917572021484375, 0.79833984375, 0.3384857177734375, 0.574615478515625, 0.841888427734375, 0.45330810546875, 0.334686279296875, 0.677947998046875, 0.7560577392578125, 0.44781494140625, 0.574859619140625, 0.6767578125, 0.7617034912109375, 0.4428253173828125, 0.343994140625, 0.6650848388671875, 0.752410888671875, 0.32806396484375, 0.626007080078125, 0.801727294921875, 0.876068115234375, 0.406951904296875, 0.567626953125, 0.7434234619140625, 0.4857635498046875, 0.5128173828125, 0.478668212890625, 0.787750244140625, 0.437164306640625, 0.449127197265625, 0.7451629638671875, 0.85186767578125, 0.3495025634765625, 0.6036376953125, 0.6565399169921875, 0.850128173828125, 0.4162139892578125, 0.6553497314453125, 0.739044189453125, 0.4450531005859375, 0.3303375244140625, 0.5735321044921875, 0.808197021484375, 0.45501708984375, 0.4261474609375, 0.7496337890625, 0.824859619140625, 0.37310791015625, 0.6436004638671875, 0.8458251953125, 0.8347015380859375, 0.4615020751953125, 0.428070068359375, 0.826019287109375, 0.8186492919921875, 0.2861480712890625, 0.5867767333984375, 0.832366943359375, 0.8807220458984375, 0.477264404296875, 0.633026123046875, 0.8689117431640625, 0.5074615478515625, 0.231658935546875, 0.6431427001953125, 0.8617706298828125, 0.4999237060546875, 0.4065704345703125, 0.691436767578125, 0.8197784423828125, 0.4813079833984375, 0.5615997314453125, 0.7806854248046875, 0.830230712890625, 0.5079193115234375, 0.3061676025390625, 0.6738433837890625, 0.6915130615234375, 0.3363494873046875, 0.62774658203125, 0.7635650634765625, 0.6722259521484375, 0.443084716796875, 0.623809814453125, 0.7081756591796875, 0.4457244873046875, 0.60260009765625, 0.5346221923828125, 0.85009765625, 0.510650634765625, 0.38543701171875, 0.6486663818359375, 0.7812957763671875, 0.3796844482421875, 0.58807373046875, 0.8287200927734375, 0.826019287109375, 0.4385833740234375, 0.6336822509765625, 0.8311920166015625, 0.806060791015625, 0.3012542724609375, 0.6332550048828125, 0.8100738525390625, 0.5200347900390625, 0.46685791015625, 0.6519622802734375, 0.857696533203125, 0.47003173828125, 0.4394683837890625, 0.717041015625, 0.8627166748046875, 0.4510345458984375, 0.3575439453125, 0.6414947509765625, 0.84771728515625, 0.5966644287109375, 0.529083251953125, 0.6961822509765625, 0.8583831787109375, 0.5759429931640625, 0.320770263671875, 0.5849609375, 0.83880615234375, 0.532257080078125, 0.635284423828125, 0.8212127685546875, 0.8241119384765625, 0.470062255859375, 0.6598358154296875, 0.7309722900390625, 0.818023681640625, 0.33447265625, 0.4974517822265625, 0.81964111328125, 0.8122100830078125, 0.5283050537109375, 0.7132720947265625, 0.841461181640625, 0.51507568359375, 0.2490997314453125, 0.594207763671875, 0.8327789306640625, 0.5881805419921875, 0.495635986328125, 0.7171478271484375, 0.8346405029296875, 0.52294921875, 0.4783172607421875, 0.72943115234375, 0.797637939453125, 0.5553436279296875, 0.452789306640625, 0.81524658203125, 0.8517608642578125, 0.35955810546875, 0.5412750244140625, 0.7720947265625, 0.79254150390625, 0.4730072021484375, 0.6411285400390625, 0.8176727294921875, 0.506927490234375, 0.33551025390625, 0.523895263671875, 0.7769622802734375, 0.476318359375, 0.32623291015625, 0.6084442138671875, 0.6728515625, 0.410491943359375, 0.62652587890625, 0.7823944091796875, 0.802886962890625, 0.4640350341796875, 0.4933624267578125, 0.6588897705078125, 0.65997314453125, 0.345611572265625, 0.5043487548828125, 0.7714080810546875, 0.524322509765625, 0.391021728515625, 0.7913360595703125, 0.817108154296875, 0.46124267578125, 0.69329833984375, 0.8267669677734375, 0.76568603515625, 0.439361572265625, 0.7860260009765625, 0.8187103271484375, 0.532928466796875, 0.5771942138671875, 0.608612060546875, 0.812408447265625, 0.540618896484375, 0.477264404296875, 0.7474517822265625, 0.7244873046875, 0.3826751708984375, 0.512603759765625, 0.775360107421875, 0.6038665771484375, 0.40576171875, 0.538848876953125, 0.611480712890625, 0.52685546875, 0.4835052490234375, 0.6622772216796875, 0.6830596923828125, 0.467803955078125, 0.7263336181640625, 0.7593536376953125, 0.5102386474609375, 0.50482177734375, 0.5717620849609375, 0.74285888671875, 0.5873870849609375, 0.669158935546875, 0.68804931640625, 0.7218170166015625, 0.397308349609375, 0.7124481201171875, 0.798248291015625, 0.6814117431640625, 0.450653076171875, 0.80859375, 0.838226318359375, 0.4564361572265625, 0.673736572265625, 0.846221923828125, 0.803741455078125, 0.474365234375, 0.5517120361328125, 0.7368316650390625, 0.84002685546875, 0.378753662109375, 0.4842987060546875, 0.8194580078125, 0.528839111328125, 0.3696746826171875, 0.61126708984375, 0.8385772705078125, 0.40252685546875, 0.4413604736328125, 0.6888275146484375, 0.7065887451171875, 0.57342529296875, 0.4540557861328125, 0.76422119140625, 0.8414154052734375, 0.3997344970703125, 0.695587158203125, 0.8651580810546875, 0.67791748046875, 0.4952239990234375, 0.6533660888671875, 0.7973175048828125, 0.503143310546875, 0.4977874755859375, 0.6601715087890625, 0.8062744140625, 0.569915771484375, 0.3248748779296875, 0.746246337890625, 0.7124481201171875, 0.3736572265625, 0.701873779296875, 0.8213043212890625, 0.7584381103515625, 0.4291229248046875, 0.697723388671875, 0.8364105224609375, 0.47454833984375, 0.5938262939453125, 0.8204345703125, 0.7986907958984375, 0.6820068359375, 0.659149169921875, 0.8240203857421875, 0.7914581298828125, 0.44525146484375, 0.6195526123046875, 0.8252105712890625, 0.5582122802734375, 0.417144775390625, 0.694580078125, 0.787261962890625, 0.4447021484375, 0.5121307373046875, 0.8218841552734375, 0.7352294921875, 0.502105712890625, 0.5841827392578125, 0.8169403076171875, 0.719024658203125, 0.38092041015625, 0.5689239501953125, 0.8463592529296875, 0.5218048095703125, 0.391998291015625, 0.5473175048828125, 0.75689697265625, 0.3848114013671875, 0.4141082763671875, 0.594696044921875, 0.7057342529296875, 0.5987396240234375, 0.3116607666015625, 0.796783447265625, 0.827362060546875, 0.42315673828125, 0.55322265625, 0.8011627197265625, 0.69586181640625, 0.3643341064453125, 0.55194091796875, 0.8281707763671875, 0.438873291015625, 0.3799896240234375, 0.5651092529296875, 0.816497802734375, 0.5802459716796875, 0.3188934326171875, 0.59991455078125, 0.8359832763671875, 0.409027099609375, 0.6143035888671875, 0.8248291015625, 0.783935546875, 0.5109710693359375, 0.308685302734375, 0.7380523681640625, 0.8209991455078125, 0.367919921875, 0.4422760009765625, 0.653656005859375, 0.7577056884765625, 0.34771728515625, 0.524505615234375, 0.8849639892578125, 0.488311767578125, 0.2984466552734375, 0.43890380859375, 0.8173980712890625, 0.6649627685546875, 0.3491363525390625, 0.5370635986328125, 0.850555419921875, 0.5914764404296875, 0.5146636962890625, 0.6494293212890625, 0.8970947265625, 0.6948394775390625, 0.3452301025390625, 0.6331329345703125, 0.7977294921875, 0.6051025390625, 0.405487060546875, 0.8259124755859375, 0.6418914794921875, 0.626068115234375, 0.334716796875, 0.7208709716796875, 0.8310699462890625, 0.3591156005859375, 0.5630035400390625, 0.7705078125, 0.6994476318359375, 0.4191436767578125, 0.473602294921875, 0.820220947265625, 0.3602294921875, 0.3285980224609375, 0.395904541015625, 0.7059326171875, 0.51824951171875, 0.3789520263671875, 0.6338958740234375, 0.8121337890625, 0.4139862060546875, 0.4270477294921875, 0.691192626953125, 0.8424530029296875, 0.5926971435546875, 0.3019561767578125, 0.78887939453125, 0.6693267822265625, 0.408935546875, 0.55889892578125, 0.700408935546875, 0.669891357421875, 0.3541412353515625, 0.6744537353515625, 0.8202362060546875, 0.547515869140625, 0.5529022216796875, 0.7799224853515625, 0.7460784912109375, 0.547637939453125, 0.4153594970703125, 0.7036895751953125, 0.6315765380859375, 0.4198455810546875, 0.5213623046875, 0.8080291748046875, 0.7083892822265625, 0.364501953125, 0.65130615234375, 0.741729736328125, 0.44281005859375, 0.42340087890625, 0.7886810302734375, 0.68695068359375, 0.6118011474609375, 0.5785980224609375, 0.7519378662109375, 0.6353302001953125, 0.4334716796875, 0.4891510009765625, 0.8064727783203125, 0.6296539306640625, 0.384307861328125, 0.5401763916015625, 0.7108612060546875, 0.379608154296875, 0.412017822265625, 0.8090362548828125, 0.79901123046875, 0.663421630859375, 0.3114776611328125, 0.7471160888671875, 0.728118896484375, 0.3786163330078125, 0.522979736328125, 0.8016357421875, 0.7401275634765625, 0.4328765869140625, 0.4842681884765625, 0.7424163818359375, 0.4842529296875, 0.41998291015625, 0.4283905029296875, 0.6792449951171875, 0.62921142578125, 0.30938720703125, 0.8043365478515625, 0.856201171875, 0.5079345703125, 0.5049285888671875, 0.802215576171875, 0.7353057861328125, 0.4473876953125, 0.4508056640625, 0.7883758544921875, 0.8372039794921875, 0.2857666015625, 0.4962921142578125, 0.8345947265625, 0.734344482421875, 0.4496917724609375, 0.4526824951171875, 0.86431884765625, 0.5900726318359375, 0.3463287353515625, 0.5806121826171875, 0.8319244384765625, 0.6775970458984375, 0.3970947265625, 0.587158203125, 0.8424835205078125, 0.44927978515625, 0.5296783447265625, 0.8131561279296875, 0.83648681640625, 0.5468902587890625, 0.3099365234375, 0.7305908203125, 0.7030029296875, 0.4304656982421875, 0.5220489501953125, 0.80975341796875, 0.6616058349609375, 0.4318084716796875, 0.6168975830078125, 0.771484375, 0.394439697265625, 0.48309326171875, 0.8339385986328125, 0.71636962890625, 0.656341552734375, 0.66064453125, 0.7998504638671875, 0.69091796875, 0.4042816162109375, 0.45556640625, 0.8463134765625, 0.66314697265625, 0.3632354736328125, 0.7558746337890625, 0.851348876953125, 0.5611419677734375, 0.5137176513671875, 0.827545166015625, 0.6236572265625, 0.31103515625, 0.6772613525390625, 0.863250732421875, 0.614471435546875, 0.4248046875, 0.497314453125, 0.7890777587890625, 0.5909576416015625, 0.377777099609375, 0.7581634521484375, 0.6888885498046875, 0.4628753662109375, 0.5152435302734375, 0.8292694091796875, 0.7234954833984375, 0.4228973388671875, 0.6553802490234375, 0.823699951171875, 0.5480194091796875, 0.4360504150390625, 0.4197540283203125, 0.731353759765625, 0.6595306396484375, 0.33685302734375, 0.78143310546875, 0.8159027099609375, 0.4772796630859375, 0.4665679931640625, 0.8209075927734375, 0.7963104248046875, 0.3695831298828125, 0.513885498046875, 0.8148651123046875, 0.508056640625, 0.4644622802734375, 0.5756683349609375, 0.8338470458984375, 0.619110107421875, 0.3265838623046875, 0.7476959228515625, 0.793182373046875, 0.4461517333984375, 0.4759368896484375, 0.850921630859375, 0.788177490234375, 0.4084625244140625, 0.3796234130859375, 0.8002471923828125, 0.7613525390625, 0.443450927734375, 0.5369415283203125, 0.82183837890625, 0.6611785888671875, 0.3841094970703125, 0.614166259765625, 0.7594757080078125, 0.428131103515625, 0.457366943359375, 0.722381591796875, 0.734161376953125, 0.44659423828125, 0.41949462890625, 0.637603759765625, 0.7844696044921875, 0.429412841796875, 0.5168304443359375, 0.784210205078125, 0.6622772216796875, 0.36419677734375, 0.66070556640625, 0.8459320068359375, 0.5272064208984375, 0.491729736328125, 0.84326171875, 0.7635040283203125, 0.5895843505859375, 0.3652191162109375, 0.7031402587890625, 0.7160491943359375, 0.446533203125, 0.4540557861328125, 0.7788848876953125, 0.621337890625, 0.3383026123046875, 0.6230621337890625, 0.728851318359375, 0.374359130859375, 0.42950439453125, 0.791168212890625, 0.7276611328125, 0.54754638671875, 0.349456787109375, 0.7617034912109375, 0.8223419189453125, 0.469390869140625, 0.5043792724609375, 0.8600921630859375, 0.63580322265625, 0.342498779296875, 0.5909881591796875, 0.8392333984375, 0.474578857421875, 0.55364990234375, 0.8308563232421875, 0.8507843017578125, 0.623321533203125, 0.4408721923828125, 0.7867584228515625, 0.8409576416015625, 0.5418701171875, 0.6090545654296875, 0.829010009765625, 0.8291473388671875, 0.418426513671875, 0.4448699951171875, 0.850341796875, 0.5483245849609375, 0.525604248046875, 0.5403289794921875, 0.8200836181640625, 0.45379638671875, 0.3606414794921875, 0.6453399658203125, 0.851226806640625, 0.4523162841796875, 0.42987060546875, 0.7154388427734375, 0.7308502197265625, 0.3462677001953125, 0.618194580078125, 0.7562713623046875, 0.8549957275390625, 0.4676361083984375, 0.52166748046875, 0.7316131591796875, 0.51910400390625, 0.3279571533203125, 0.5392913818359375, 0.8621063232421875, 0.446746826171875, 0.405792236328125, 0.6992645263671875, 0.8361053466796875, 0.619873046875, 0.311309814453125, 0.6606903076171875, 0.854034423828125, 0.4477691650390625, 0.3644866943359375, 0.828521728515625, 0.762451171875, 0.422332763671875, 0.402099609375, 0.814300537109375, 0.8118743896484375, 0.468780517578125, 0.4813385009765625, 0.85711669921875, 0.8095550537109375, 0.425079345703125, 0.447265625, 0.825958251953125, 0.7576751708984375, 0.54449462890625, 0.5117950439453125, 0.9048309326171875, 0.6011810302734375, 0.4445037841796875, 0.4540863037109375, 0.82098388671875, 0.6004180908203125, 0.442474365234375, 0.4613189697265625, 0.8092041015625, 0.5523681640625, 0.43768310546875, 0.7226715087890625, 0.8538055419921875, 0.54278564453125, 0.411346435546875, 0.7927703857421875, 0.7323150634765625, 0.4917755126953125, 0.3583526611328125, 0.7569122314453125, 0.8328857421875, 0.424163818359375, 0.39813232421875, 0.7901458740234375, 0.7040557861328125, 0.512298583984375, 0.51678466796875, 0.7724761962890625, 0.4649658203125, 0.3912353515625, 0.5362396240234375, 0.85528564453125, 0.57568359375, 0.3388214111328125, 0.60101318359375, 0.811767578125, 0.442230224609375, 0.4652862548828125, 0.8259124755859375, 0.7584381103515625, 0.40435791015625, 0.439208984375, 0.765289306640625, 0.753662109375, 0.4883270263671875, 0.6352996826171875, 0.90203857421875, 0.5902252197265625, 0.3412933349609375, 0.5489959716796875, 0.615325927734375, 0.5279693603515625, 0.6554412841796875, 0.826629638671875, 0.508514404296875, 0.38690185546875, 0.7400665283203125, 0.719268798828125, 0.5529022216796875, 0.5561065673828125, 0.767669677734375, 0.6181488037109375, 0.496795654296875, 0.801300048828125, 0.683502197265625, 0.628631591796875, 0.57733154296875, 0.8152618408203125, 0.65667724609375, 0.553009033203125, 0.761322021484375, 0.725372314453125, 0.670379638671875, 0.7406158447265625, 0.623260498046875, 0.3460845947265625, 0.6313629150390625, 0.6223602294921875, 0.532379150390625, 0.7593994140625, 0.7916259765625, 0.6840972900390625, 0.447174072265625, 0.6444854736328125, 0.7948455810546875, 0.711334228515625, 0.8443756103515625, 0.9011383056640625, 0.491729736328125, 0.789459228515625, 0.8271484375, 0.722198486328125, 0.82659912109375, 0.8351898193359375, 0.58172607421875, 0.7229156494140625, 0.7158050537109375, 0.6726531982421875, 0.55609130859375, 0.83282470703125, 0.6491851806640625, 0.725738525390625, 0.8301239013671875, 0.6449737548828125, 0.5789337158203125, 0.819610595703125, 0.846923828125, 0.5535736083984375, 0.7715606689453125, 0.6866912841796875, 0.574493408203125, 0.7888641357421875, 0.8611907958984375, 0.5446624755859375, 0.59405517578125, 0.65032958984375, 0.53582763671875, 0.785003662109375, 0.78485107421875, 0.56256103515625, 0.7479400634765625, 0.8037109375, 0.7446136474609375, 0.6159210205078125, 0.8324127197265625, 0.64215087890625, 0.477996826171875, 0.794830322265625, 0.6690826416015625, 0.5343170166015625, 0.730743408203125, 0.7964935302734375, 0.544342041015625, 0.6528167724609375, 0.806854248046875, 0.635589599609375, 0.6322479248046875, 0.6733856201171875, 0.436676025390625, 0.4936370849609375, 0.667449951171875, 0.5191192626953125, 0.602996826171875, 0.809356689453125, 0.7491302490234375, 0.50689697265625, 0.6602020263671875, 0.7061614990234375, 0.582366943359375, 0.6523590087890625, 0.711700439453125, 0.48651123046875, 0.5298309326171875, 0.73162841796875, 0.4305572509765625, 0.730560302734375, 0.840087890625, 0.7266387939453125, 0.4824981689453125, 0.5657806396484375, 0.6632232666015625, 0.60498046875, 0.79901123046875, 0.7276153564453125, 0.5540771484375, 0.744476318359375, 0.746124267578125, 0.6522674560546875, 0.841888427734375, 0.8441619873046875, 0.645172119140625, 0.83648681640625, 0.6767730712890625, 0.8236083984375, 0.9999847412109375, 0.7572784423828125, 0.50616455078125, 0.639862060546875, 0.684722900390625, 0.7762603759765625, 0.999969482421875, 0.5615081787109375, 0.84552001953125, 0.786865234375, 0.95013427734375, 0.999969482421875, 0.6909332275390625, 0.740386962890625, 0.6449737548828125, 0.9999847412109375, 0.823486328125, 0.78155517578125, 0.763092041015625, 0.8278350830078125, 0.92791748046875, 0.5294342041015625, 0.800140380859375, 0.9191131591796875, 0.9999847412109375, 0.8493499755859375, 0.8697662353515625, 0.9278564453125, 0.9999847412109375, 0.8369140625, 0.91900634765625, 0.91912841796875, 0.839447021484375, 0.8005523681640625, 0.7022857666015625, 0.881561279296875, 0.580657958984375, 0.8125152587890625, 0.90179443359375, 0.682159423828125, 0.92535400390625, 0.8931121826171875, 0.8133392333984375, 0.8338775634765625, 0.875030517578125, 0.8690185546875, 0.9368743896484375, 0.8118896484375, 0.8428802490234375, 0.842193603515625, 0.7448883056640625, 0.886505126953125, 0.8203125, 0.7050018310546875, 0.8224029541015625, 0.60064697265625, 0.948883056640625, 0.518157958984375, 0.912872314453125, 0.921722412109375, 0.9866943359375, 0.84222412109375, 0.8483734130859375, 0.8153076171875, 0.8003387451171875, 0.836700439453125, 0.703948974609375, 0.828765869140625, 0.8439788818359375, 0.8331298828125, 0.8275146484375, 0.7998809814453125, 0.6800537109375, 0.67901611328125, 0.875213623046875, 0.7923736572265625, 0.895355224609375, 0.8703155517578125, 0.87103271484375, 0.9154510498046875, 0.764556884765625, 0.8760223388671875, 0.8684539794921875, 0.8382720947265625, 0.812103271484375, 0.6345062255859375, 0.857269287109375, 0.7415008544921875, 0.7993316650390625, 0.76995849609375, 0.8976593017578125, 0.833770751953125, 0.5240325927734375, 0.7790679931640625, 0.620025634765625, 0.476104736328125, 0.487518310546875, 0.46539306640625, 0.5423736572265625, 0.62725830078125, 0.4493255615234375, 0.4129791259765625, 0.35650634765625, 0.394439697265625, 0.29388427734375, 0.4721221923828125, 0.39044189453125, 0.1711883544921875, 0.3831329345703125, 0.323028564453125, 0.4067230224609375, 0.3425445556640625, 0.390380859375, 0.454864501953125, 0.549713134765625, 0.47576904296875, 0.63165283203125, 0.541717529296875, 0.63055419921875, 0.4721527099609375, 0.4342193603515625, 0.3885345458984375, 0.3763275146484375, 0.3626708984375, 0.309661865234375, 0.3649139404296875, 0.4876861572265625, 0.3558197021484375, 0.46575927734375, 0.284332275390625, 0.2978515625, 0.328826904296875, 0.36383056640625, 0.40020751953125, 0.3310699462890625, 0.39385986328125, 0.4731292724609375, 0.5572662353515625, 0.4830169677734375, 0.52386474609375, 0.5796051025390625, 0.4945068359375, 0.5790863037109375, 0.5863189697265625, 0.6677093505859375, 0.66693115234375, 0.7204132080078125, 0.719207763671875, 0.7406463623046875, 0.771240234375, 0.727783203125, 0.6321868896484375, 0.8538818359375, 0.802642822265625, 0.8636627197265625, 0.7939910888671875, 0.778839111328125, 0.7978363037109375, 0.828033447265625, 0.8610687255859375, 0.802215576171875, 0.8104705810546875, 0.6960906982421875, 0.8214263916015625, 0.7801361083984375, 0.6132354736328125, 0.768768310546875, 0.715179443359375, 0.7313079833984375, 0.7512969970703125, 0.6739959716796875, 0.643157958984375, 0.708526611328125, 0.7058258056640625, 0.6486663818359375, 0.59991455078125, 0.7098541259765625, 0.5511016845703125, 0.5640869140625, 0.5705413818359375, 0.5579071044921875, 0.5396728515625, 0.4023284912109375, 0.5430145263671875, 0.401092529296875, 0.41204833984375, 0.73431396484375, 0.591094970703125, 0.518402099609375, 0.797882080078125, 0.6523590087890625, 0.449981689453125, 0.702178955078125, 0.5275421142578125, 0.4622650146484375, 0.658416748046875, 0.4435882568359375, 0.582275390625, 0.8074798583984375, 0.8357391357421875, 0.71575927734375, 0.5770111083984375, 0.853851318359375, 0.7162322998046875, 0.654327392578125, 0.811737060546875, 0.8217010498046875, 0.7100067138671875, 0.5474853515625, 0.695770263671875, 0.5218963623046875, 0.667236328125, 0.6880035400390625, 0.8072662353515625, 0.7263641357421875, 0.802001953125, 0.796630859375, 0.533538818359375, 0.48675537109375, 0.64996337890625, 0.6488494873046875, 0.5988006591796875, 0.38116455078125, 0.556243896484375, 0.4282989501953125, 0.6613006591796875, 0.54754638671875, 0.8120880126953125, 0.8064727783203125, 0.80780029296875, 0.7126617431640625, 0.769744873046875, 0.82745361328125, 0.8245086669921875, 0.79412841796875, 0.79437255859375, 0.90020751953125, 0.7671356201171875, 0.63909912109375, 0.8360137939453125, 0.865386962890625, 0.652740478515625, 0.8574371337890625, 0.968780517578125, 0.8809967041015625, 0.799102783203125, 0.8878631591796875, 0.879486083984375, 0.538360595703125, 0.5049591064453125, 0.8133087158203125, 0.4687652587890625, 0.3975830078125, 0.7231903076171875, 0.8415069580078125, 0.7335662841796875, 0.985931396484375, 0.8904266357421875, 0.711669921875, 0.97247314453125, 0.8820648193359375, 0.6724090576171875, 0.8663482666015625, 0.78955078125, 0.868743896484375, 0.9275970458984375, 0.8396148681640625, 0.8371734619140625, 0.8950042724609375, 0.96173095703125, 0.9999847412109375, 0.8466644287109375, 0.894989013671875, 0.951202392578125, 0.8633270263671875, 0.7735595703125, 0.851470947265625, 0.579681396484375, 0.6727752685546875, 0.761444091796875, 0.9955596923828125, 0.913421630859375, 0.9006805419921875, 0.8282470703125, 0.7910614013671875, 0.9359283447265625, 0.8359375, 0.8696441650390625, 0.80816650390625, 0.8588409423828125, 0.809051513671875, 0.677947998046875, 0.6640777587890625, 0.8277130126953125, 0.705322265625, 0.659759521484375, 0.7976837158203125, 0.8097991943359375, 0.8388671875, 0.7635650634765625, 0.8238372802734375, 0.84197998046875, 0.7939453125, 0.5568695068359375, 0.5760955810546875, 0.6012725830078125, 0.4076080322265625, 0.287994384765625, 0.3109588623046875, 0.3170013427734375, 0.4083709716796875, 0.3630523681640625, 0.3942108154296875, 0.2943115234375, 0.3173065185546875, 0.3536834716796875, 0.3908843994140625, 0.364105224609375, 0.3230133056640625, 0.4061737060546875, 0.3856964111328125, 0.378570556640625, 0.43231201171875, 0.4668121337890625, 0.4823760986328125, 0.399932861328125, 0.5085296630859375, 0.508544921875, 0.5517730712890625, 0.5374908447265625, 0.56451416015625, 0.6833648681640625, 0.5487060546875, 0.752166748046875, 0.731201171875, 0.75067138671875, 0.833953857421875, 0.8802642822265625, 0.7528839111328125, 0.8266448974609375, 0.805999755859375, 0.8160247802734375, 0.8426055908203125, 0.8518524169921875, 0.721435546875, 0.7245025634765625, 0.7249908447265625, 0.59918212890625, 0.64178466796875, 0.601409912109375, 0.525238037109375, 0.587799072265625, 0.5127716064453125, 0.7000732421875, 0.72064208984375, 0.542205810546875, 0.809234619140625, 0.63201904296875, 0.772979736328125, 0.6779937744140625, 0.55908203125, 0.88446044921875, 0.6862335205078125, 0.8541107177734375, 0.6101226806640625, 0.837493896484375, 0.5863494873046875, 0.7845001220703125, 0.637847900390625, 0.5053558349609375, 0.6222381591796875, 0.6273193359375, 0.764251708984375, 0.594482421875, 0.455474853515625, 0.5262603759765625, 0.4327239990234375, 0.360015869140625, 0.3847503662109375, 0.3718719482421875, 0.47930908203125, 0.4040985107421875, 0.4683837890625, 0.4772186279296875, 0.4891357421875, 0.44769287109375, 0.466217041015625, 0.4997711181640625, 0.380401611328125, 0.4462432861328125, 0.4505767822265625, 0.491485595703125, 0.5430145263671875, 0.5763092041015625, 0.57952880859375, 0.5254974365234375, 0.6018218994140625, 0.5224151611328125, 0.5764923095703125, 0.6454925537109375, 0.6046600341796875, 0.7976531982421875, 0.530517578125, 0.6825103759765625, 0.49951171875, 0.734161376953125, 0.7150421142578125, 0.737548828125, 0.664794921875, 0.5299835205078125, 0.6561737060546875, 0.5659332275390625, 0.570709228515625, 0.5939483642578125, 0.4943695068359375, 0.6420745849609375, 0.4730377197265625, 0.4984893798828125, 0.6470489501953125, 0.486846923828125, 0.5047760009765625, 0.348876953125, 0.6689300537109375, 0.6737060546875, 0.3899078369140625, 0.5756988525390625, 0.4246368408203125, 0.420684814453125, 0.3788604736328125, 0.4452667236328125, 0.389312744140625, 0.3035736083984375, 0.4775848388671875, 0.414825439453125, 0.32427978515625, 0.504638671875, 0.48773193359375, 0.37548828125, 0.588348388671875, 0.5197906494140625, 0.447845458984375, 0.515228271484375, 0.415924072265625, 0.582977294921875, 0.632537841796875, 0.494476318359375, 0.543975830078125, 0.747344970703125, 0.7332305908203125, 0.427947998046875, 0.4302825927734375, 0.689300537109375, 0.5675201416015625, 0.56719970703125, 0.477203369140625, 0.6017303466796875, 0.5283660888671875, 0.4980010986328125, 0.5805816650390625, 0.4122772216796875, 0.5388641357421875, 0.7148895263671875, 0.733734130859375, 0.3846435546875, 0.6645355224609375, 0.6449127197265625, 0.738311767578125, 0.5201416015625, 0.6324920654296875, 0.6959686279296875, 0.572296142578125, 0.6107940673828125, 0.49749755859375, 0.69586181640625, 0.60638427734375, 0.620330810546875, 0.597015380859375, 0.5527496337890625, 0.64605712890625, 0.4639739990234375, 0.6632843017578125, 0.52764892578125, 0.6954498291015625, 0.555572509765625, 0.629180908203125, 0.473236083984375, 0.391937255859375, 0.3480072021484375, 0.2571258544921875, 0.5602264404296875, 0.34814453125, 0.4107513427734375, 0.298065185546875, 0.497100830078125, 0.367034912109375, 0.3616790771484375, 0.3892822265625, 0.5269775390625, 0.459808349609375, 0.3219146728515625, 0.4401092529296875, 0.164337158203125, 0.3585357666015625, 0.31005859375, 0.289215087890625, 0.469268798828125, 0.2664794921875, 0.5346221923828125, 0.4021453857421875, 0.2158660888671875, 0.3598785400390625, 0.195343017578125, 0.45501708984375, 0.415740966796875, 0.193939208984375, 0.3652496337890625, 0.2640228271484375, 0.2204132080078125, 0.4462432861328125, 0.289215087890625, 0.308319091796875, 0.378814697265625, 0.31884765625, 0.558685302734375, 0.4087982177734375, 0.301544189453125, 0.3298492431640625, 0.2899627685546875, 0.3167572021484375, 0.6619110107421875, 0.4244842529296875, 0.24517822265625, 0.3382720947265625, 0.3101806640625, 0.4438629150390625, 0.634429931640625, 0.426544189453125, 0.3184814453125, 0.3951416015625, 0.3667449951171875, 0.54449462890625, 0.43841552734375, 0.408416748046875, 0.484375, 0.39324951171875, 0.306304931640625, 0.5487213134765625, 0.3977203369140625, 0.39361572265625, 0.482757568359375, 0.4087982177734375, 0.3570556640625, 0.6373748779296875, 0.471160888671875, 0.3581390380859375, 0.4472503662109375, 0.4018096923828125, 0.278717041015625, 0.4948272705078125, 0.4190826416015625, 0.3084869384765625, 0.4617919921875, 0.4713897705078125, 0.4493408203125, 0.429351806640625, 0.4822845458984375, 0.3962860107421875, 0.40032958984375, 0.64923095703125, 0.461456298828125, 0.410064697265625, 0.4386444091796875, 0.347412109375, 0.36700439453125, 0.5246124267578125, 0.439483642578125, 0.611724853515625, 0.5853729248046875, 0.454803466796875, 0.2902679443359375, 0.363800048828125, 0.457275390625, 0.3427581787109375, 0.449249267578125, 0.617034912109375, 0.4598846435546875, 0.345367431640625, 0.46917724609375, 0.6487274169921875, 0.3897247314453125, 0.4835968017578125, 0.5618896484375, 0.3511962890625, 0.3576507568359375, 0.616790771484375, 0.4222412109375, 0.4017486572265625, 0.6092987060546875, 0.451751708984375, 0.290069580078125, 0.4124603271484375, 0.6649169921875, 0.5072784423828125, 0.4056243896484375, 0.60723876953125, 0.5730133056640625, 0.304595947265625, 0.4412689208984375, 0.607818603515625, 0.4379730224609375, 0.3356170654296875, 0.432952880859375, 0.8424072265625, 0.4725341796875, 0.3693084716796875, 0.56011962890625, 0.604156494140625, 0.366668701171875, 0.3978729248046875, 0.7494964599609375, 0.64752197265625, 0.2957000732421875, 0.3162689208984375, 0.7245635986328125, 0.465576171875, 0.3991546630859375, 0.63360595703125, 0.7944793701171875, 0.515045166015625, 0.343170166015625, 0.5948944091796875, 0.7743682861328125, 0.518707275390625, 0.3586578369140625, 0.8345184326171875, 0.82037353515625, 0.320556640625, 0.3959503173828125, 0.667510986328125, 0.7105865478515625, 0.366729736328125, 0.4972076416015625, 0.84124755859375, 0.804718017578125, 0.2754364013671875, 0.5796966552734375, 0.82781982421875, 0.850189208984375, 0.318145751953125, 0.4373016357421875, 0.84161376953125, 0.840240478515625, 0.292144775390625, 0.000701904296875, 0.0]