[0.0, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 4.57763671875e-05, 6.103515625e-05, 9.1552734375e-05, 0.000152587890625, 0.0001678466796875, 0.00018310546875, 0.00018310546875, 0.000213623046875, 0.000335693359375, 0.000396728515625, 0.00048828125, 0.0003509521484375, 0.00042724609375, 0.00067138671875, 0.000518798828125, 0.0005950927734375, 0.0006561279296875, 0.000823974609375, 0.0007171630859375, 0.0006561279296875, 0.0005950927734375, 0.0005950927734375, 0.0004119873046875, 0.000518798828125, 0.0003814697265625, 0.0003662109375, 0.0020751953125, 0.001739501953125, 0.002044677734375, 0.0026397705078125, 0.0027618408203125, 0.0027618408203125, 0.0035400390625, 0.002532958984375, 0.0021820068359375, 0.004180908203125, 0.0042724609375, 0.0042266845703125, 0.0047607421875, 0.0040435791015625, 0.0049285888671875, 0.005218505859375, 0.005950927734375, 0.008880615234375, 0.0095367431640625, 0.00811767578125, 0.0059356689453125, 0.007049560546875, 0.005340576171875, 0.0099945068359375, 0.010223388671875, 0.0070037841796875, 0.00726318359375, 0.0080108642578125, 0.00836181640625, 0.00604248046875, 0.0039215087890625, 0.0043182373046875, 0.009002685546875, 0.0091094970703125, 0.012725830078125, 0.0100250244140625, 0.007476806640625, 0.0058135986328125, 0.0072021484375, 0.00726318359375, 0.01397705078125, 0.0147857666015625, 0.0087127685546875, 0.003326416015625, 0.0055694580078125, 0.006256103515625, 0.0056915283203125, 0.0059051513671875, 0.00555419921875, 0.005950927734375, 0.005706787109375, 0.0066680908203125, 0.0015411376953125, 0.0036773681640625, 0.002685546875, 0.00567626953125, 0.00439453125, 0.0068817138671875, 0.006011962890625, 0.00494384765625, 0.0069732666015625, 0.00531005859375, 0.004669189453125, 0.004974365234375, 0.0062255859375, 0.0063934326171875, 0.0072174072265625, 0.0041351318359375, 0.0035247802734375, 0.0056304931640625, 0.00469970703125, 0.0060577392578125, 0.0096435546875, 0.007476806640625, 0.010894775390625, 0.0082550048828125, 0.011993408203125, 0.0125885009765625, 0.0106201171875, 0.0064697265625, 0.0093231201171875, 0.0102081298828125, 0.008697509765625, 0.009033203125, 0.0082855224609375, 0.007476806640625, 0.0046234130859375, 0.0082244873046875, 0.008697509765625, 0.0112457275390625, 0.009918212890625, 0.0081634521484375, 0.010894775390625, 0.01702880859375, 0.0195159912109375, 0.021087646484375, 0.01678466796875, 0.0145416259765625, 0.013885498046875, 0.01593017578125, 0.020477294921875, 0.0193634033203125, 0.0213775634765625, 0.0209808349609375, 0.0152435302734375, 0.01275634765625, 0.0135955810546875, 0.0111541748046875, 0.01763916015625, 0.0241241455078125, 0.0370635986328125, 0.04083251953125, 0.038909912109375, 0.0250396728515625, 0.02410888671875, 0.014434814453125, 0.0143280029296875, 0.03912353515625, 0.0341796875, 0.026824951171875, 0.022735595703125, 0.0184783935546875, 0.0137176513671875, 0.00860595703125, 0.0215911865234375, 0.0252227783203125, 0.0343475341796875, 0.0287933349609375, 0.02496337890625, 0.01678466796875, 0.0133209228515625, 0.013214111328125, 0.0107574462890625, 0.01458740234375, 0.028656005859375, 0.03546142578125, 0.0270843505859375, 0.0208892822265625, 0.01312255859375, 0.0104217529296875, 0.011016845703125, 0.013824462890625, 0.0091094970703125, 0.01214599609375, 0.0280609130859375, 0.0229949951171875, 0.017425537109375, 0.01470947265625, 0.0125885009765625, 0.011077880859375, 0.00958251953125, 0.0080108642578125, 0.0055389404296875, 0.0055694580078125, 0.0052337646484375, 0.0037994384765625, 0.00274658203125, 0.0026397705078125, 0.001678466796875, 0.002593994140625, 0.0029144287109375, 0.0019989013671875, 0.00146484375, 0.0012359619140625, 0.00079345703125, 0.001007080078125, 0.0006561279296875, 0.0013427734375, 0.0013275146484375, 0.001220703125, 0.0009765625, 0.0009613037109375, 0.0008544921875, 0.001068115234375, 0.001129150390625, 0.0010528564453125, 0.0009918212890625, 0.0011444091796875, 0.0010986328125, 0.0010528564453125, 0.0010833740234375, 0.0008392333984375, 0.001190185546875, 0.0010833740234375, 0.000885009765625, 0.0005950927734375, 0.0009613037109375, 0.000946044921875, 0.0008544921875, 0.0013275146484375, 0.0013885498046875, 0.0013275146484375, 0.0013580322265625, 0.0009918212890625, 0.001129150390625, 0.0015411376953125, 0.0015869140625, 0.0016326904296875, 0.00164794921875, 0.001007080078125, 0.001251220703125, 0.0023651123046875, 0.002197265625, 0.002685546875, 0.0024261474609375, 0.0025634765625, 0.0028533935546875, 0.0037841796875, 0.0037841796875, 0.0025482177734375, 0.002960205078125, 0.0020751953125, 0.001678466796875, 0.00225830078125, 0.002899169921875, 0.001922607421875, 0.00439453125, 0.003021240234375, 0.0030517578125, 0.0019073486328125, 0.0042877197265625, 0.00164794921875, 0.0018768310546875, 0.0021209716796875, 0.0012359619140625, 0.0012359619140625, 0.00146484375, 0.0015411376953125, 0.001739501953125, 0.00091552734375, 0.002410888671875, 0.004608154296875, 0.007415771484375, 0.006805419921875, 0.006134033203125, 0.00494384765625, 0.003326416015625, 0.0053558349609375, 0.0091094970703125, 0.0126953125, 0.0100555419921875, 0.008697509765625, 0.00830078125, 0.0098724365234375, 0.0137939453125, 0.009857177734375, 0.00921630859375, 0.0079803466796875, 0.0159912109375, 0.0119781494140625, 0.0222625732421875, 0.009918212890625, 0.0082244873046875, 0.0072174072265625, 0.0079345703125, 0.00787353515625, 0.012786865234375, 0.0154266357421875, 0.0263214111328125, 0.0167694091796875, 0.0141754150390625, 0.0093536376953125, 0.007904052734375, 0.00836181640625, 0.013824462890625, 0.015716552734375, 0.010406494140625, 0.012786865234375, 0.0243072509765625, 0.03057861328125, 0.0216522216796875, 0.0234527587890625, 0.01837158203125, 0.0200958251953125, 0.01409912109375, 0.01763916015625, 0.0229339599609375, 0.022613525390625, 0.0223236083984375, 0.0206146240234375, 0.0209197998046875, 0.02081298828125, 0.0193634033203125, 0.031982421875, 0.0298919677734375, 0.0230255126953125, 0.021942138671875, 0.0213470458984375, 0.017852783203125, 0.0181427001953125, 0.0287322998046875, 0.0179595947265625, 0.0172576904296875, 0.017303466796875, 0.0146636962890625, 0.012725830078125, 0.011077880859375, 0.0164947509765625, 0.0182647705078125, 0.0152130126953125, 0.012359619140625, 0.011932373046875, 0.0233306884765625, 0.0168609619140625, 0.010589599609375, 0.0131988525390625, 0.0126495361328125, 0.011993408203125, 0.013336181640625, 0.0110015869140625, 0.0110321044921875, 0.0041656494140625, 0.0053253173828125, 0.0097198486328125, 0.014404296875, 0.0189971923828125, 0.0126190185546875, 0.01202392578125, 0.0092926025390625, 0.0067901611328125, 0.00592041015625, 0.0029296875, 0.002716064453125, 0.0016326904296875, 0.00146484375, 0.002777099609375, 0.002197265625, 0.00225830078125, 0.0008697509765625, 0.0012664794921875, 0.0017547607421875, 0.0020294189453125, 0.0013885498046875, 0.00152587890625, 0.00103759765625, 0.0012054443359375, 0.0018768310546875, 0.0019073486328125, 0.0017852783203125, 0.0008697509765625, 0.001190185546875, 0.0007476806640625, 0.0012969970703125, 0.001220703125, 0.00103759765625, 0.0008392333984375, 0.000579833984375, 0.001068115234375, 0.00250244140625, 0.002044677734375, 0.0014801025390625, 0.0016937255859375, 0.0016021728515625, 0.001312255859375, 0.002105712890625, 0.0018463134765625, 0.0012359619140625, 0.0017852783203125, 0.0018310546875, 0.0025634765625, 0.002105712890625, 0.0016937255859375, 0.0010528564453125, 0.000946044921875, 0.00103759765625, 0.001190185546875, 0.0010833740234375, 0.001251220703125, 0.0047760009765625, 0.00225830078125, 0.001495361328125, 0.0016021728515625, 0.0013580322265625, 0.0019073486328125, 0.00177001953125, 0.0017852783203125, 0.0018463134765625, 0.00140380859375, 0.0011138916015625, 0.0014190673828125, 0.0006256103515625, 0.0008544921875, 0.002960205078125, 0.00225830078125, 0.0029449462890625, 0.002166748046875, 0.0020294189453125, 0.0014495849609375, 0.0016632080078125, 0.001922607421875, 0.004058837890625, 0.0049591064453125, 0.0045013427734375, 0.002044677734375, 0.0035552978515625, 0.0032958984375, 0.0089569091796875, 0.0087127685546875, 0.0091552734375, 0.0114288330078125, 0.0125274658203125, 0.011566162109375, 0.00994873046875, 0.009796142578125, 0.00634765625, 0.00714111328125, 0.0038299560546875, 0.0121917724609375, 0.01312255859375, 0.022491455078125, 0.01141357421875, 0.0065460205078125, 0.00970458984375, 0.0097198486328125, 0.010833740234375, 0.008392333984375, 0.0050811767578125, 0.0064544677734375, 0.004638671875, 0.0063629150390625, 0.0096435546875, 0.0252227783203125, 0.025421142578125, 0.02276611328125, 0.010955810546875, 0.01409912109375, 0.013671875, 0.02032470703125, 0.0140380859375, 0.017578125, 0.021270751953125, 0.0115966796875, 0.01629638671875, 0.0193634033203125, 0.018798828125, 0.0131683349609375, 0.0209503173828125, 0.0185089111328125, 0.020294189453125, 0.0139007568359375, 0.015960693359375, 0.02130126953125, 0.031036376953125, 0.026641845703125, 0.0157928466796875, 0.018798828125, 0.0214691162109375, 0.02398681640625, 0.0152740478515625, 0.0186767578125, 0.0250396728515625, 0.025604248046875, 0.0167083740234375, 0.0130615234375, 0.0126190185546875, 0.0081787109375, 0.009063720703125, 0.00543212890625, 0.0193023681640625, 0.0218963623046875, 0.0273590087890625, 0.0234527587890625, 0.024871826171875, 0.01947021484375, 0.0205841064453125, 0.019866943359375, 0.0149993896484375, 0.0119171142578125, 0.021514892578125, 0.0254364013671875, 0.025482177734375, 0.0220947265625, 0.0145263671875, 0.0148773193359375, 0.0089111328125, 0.0153045654296875, 0.00823974609375, 0.009765625, 0.00408935546875, 0.0061187744140625, 0.005096435546875, 0.003082275390625, 0.0019989013671875, 0.0018157958984375, 0.0018157958984375, 0.002105712890625, 0.002655029296875, 0.002166748046875, 0.002838134765625, 0.002716064453125, 0.0023193359375, 0.0023193359375, 0.0013275146484375, 0.00189208984375, 0.0021209716796875, 0.002532958984375, 0.001983642578125, 0.001220703125, 0.0015106201171875, 0.0013427734375, 0.001251220703125, 0.001312255859375, 0.0010833740234375, 0.001007080078125, 0.0014190673828125, 0.000518798828125, 0.0011138916015625, 0.0006256103515625, 0.0007171630859375, 0.0011444091796875, 0.0012359619140625, 0.00146484375, 0.00115966796875, 0.0012969970703125, 0.001739501953125, 0.0016937255859375, 0.00140380859375, 0.001617431640625, 0.0017852783203125, 0.001129150390625, 0.001495361328125, 0.001129150390625, 0.00103759765625, 0.001068115234375, 0.0006103515625, 0.0005950927734375, 0.000885009765625, 0.000885009765625, 0.001007080078125, 0.0017852783203125, 0.00146484375, 0.0014801025390625, 0.0014495849609375, 0.0017547607421875, 0.0031280517578125, 0.00274658203125, 0.0018463134765625, 0.0018463134765625, 0.003204345703125, 0.0052490234375, 0.005096435546875, 0.006103515625, 0.00616455078125, 0.0057373046875, 0.0029449462890625, 0.003997802734375, 0.0060882568359375, 0.0074615478515625, 0.009429931640625, 0.0111846923828125, 0.0111846923828125, 0.0081787109375, 0.0051727294921875, 0.003631591796875, 0.00286865234375, 0.0026092529296875, 0.00347900390625, 0.003753662109375, 0.003631591796875, 0.003631591796875, 0.003997802734375, 0.0025634765625, 0.003082275390625, 0.0036163330078125, 0.003448486328125, 0.003509521484375, 0.0032806396484375, 0.0042572021484375, 0.0029754638671875, 0.00372314453125, 0.002105712890625, 0.0026092529296875, 0.0046539306640625, 0.008392333984375, 0.01373291015625, 0.0066375732421875, 0.0095977783203125, 0.0054473876953125, 0.00384521484375, 0.0043487548828125, 0.0045166015625, 0.00311279296875, 0.0064697265625, 0.00653076171875, 0.0039825439453125, 0.003173828125, 0.0025634765625, 0.0026397705078125, 0.003021240234375, 0.006683349609375, 0.007049560546875, 0.007659912109375, 0.006805419921875, 0.0069580078125, 0.004302978515625, 0.0056610107421875, 0.0059661865234375, 0.003631591796875, 0.003204345703125, 0.0030364990234375, 0.00360107421875, 0.0037841796875, 0.0023956298828125, 0.0023040771484375, 0.0020294189453125, 0.00177001953125, 0.00146484375, 0.001922607421875, 0.0020904541015625, 0.001739501953125, 0.0016326904296875, 0.0016937255859375, 0.0015869140625, 0.001007080078125, 0.0010528564453125, 0.0016326904296875, 0.001434326171875, 0.001800537109375, 0.0010986328125, 0.0036773681640625, 0.0068359375, 0.0071868896484375, 0.00927734375, 0.0082550048828125, 0.006072998046875, 0.0058135986328125, 0.005157470703125, 0.006866455078125, 0.0079193115234375, 0.005279541015625, 0.0049591064453125, 0.0089263916015625, 0.005767822265625, 0.0062255859375, 0.0059051513671875, 0.0080718994140625, 0.009033203125, 0.0090789794921875, 0.00885009765625, 0.012298583984375, 0.009002685546875, 0.0056610107421875, 0.0055084228515625, 0.0028533935546875, 0.00396728515625, 0.0040435791015625, 0.0084991455078125, 0.0075531005859375, 0.008148193359375, 0.0052490234375, 0.0052947998046875, 0.0055084228515625, 0.0040130615234375, 0.007080078125, 0.00750732421875, 0.004852294921875, 0.0086517333984375, 0.007293701171875, 0.01043701171875, 0.010101318359375, 0.0057830810546875, 0.0048980712890625, 0.0077972412109375, 0.01397705078125, 0.008056640625, 0.0075836181640625, 0.004974365234375, 0.0048828125, 0.0057373046875, 0.003753662109375, 0.0036468505859375, 0.003387451171875, 0.0032958984375, 0.0201873779296875, 0.0128173828125, 0.017425537109375, 0.0130767822265625, 0.008819580078125, 0.0077362060546875, 0.0072174072265625, 0.006500244140625, 0.004302978515625, 0.0074462890625, 0.0084075927734375, 0.0139617919921875, 0.0102386474609375, 0.013671875, 0.01043701171875, 0.01519775390625, 0.0069122314453125, 0.005706787109375, 0.013671875, 0.0100555419921875, 0.0222930908203125, 0.0171356201171875, 0.020599365234375, 0.016754150390625, 0.018341064453125, 0.0136566162109375, 0.008544921875, 0.008026123046875, 0.0052947998046875, 0.0042572021484375, 0.0055084228515625, 0.0039215087890625, 0.005096435546875, 0.0027618408203125, 0.0029449462890625, 0.0044708251953125, 0.003326416015625, 0.0030517578125, 0.0016937255859375, 0.0022430419921875, 0.0028228759765625, 0.001800537109375, 0.0020904541015625, 0.00152587890625, 0.00152587890625, 0.000732421875, 0.0007476806640625, 0.0008087158203125, 0.001007080078125, 0.0011138916015625, 0.0009002685546875, 0.001129150390625, 0.00201416015625, 0.0035858154296875, 0.0047454833984375, 0.006256103515625, 0.0037689208984375, 0.002716064453125, 0.0028228759765625, 0.0031585693359375, 0.00299072265625, 0.0022430419921875, 0.0017242431640625, 0.0011138916015625, 0.0010986328125, 0.0009765625, 0.0009613037109375, 0.001068115234375, 0.0017547607421875, 0.001129150390625, 0.0013580322265625, 0.00146484375, 0.0023193359375, 0.0049285888671875, 0.0120086669921875, 0.0111236572265625, 0.0143280029296875, 0.00994873046875, 0.0090179443359375, 0.0046844482421875, 0.00408935546875, 0.0041656494140625, 0.00421142578125, 0.0033111572265625, 0.0037384033203125, 0.0044403076171875, 0.0034942626953125, 0.0038909912109375, 0.00250244140625, 0.002685546875, 0.00274658203125, 0.00140380859375, 0.003387451171875, 0.002960205078125, 0.0023956298828125, 0.0047149658203125, 0.00457763671875, 0.0038604736328125, 0.0028076171875, 0.0023956298828125, 0.0029449462890625, 0.0023651123046875, 0.0046234130859375, 0.0048828125, 0.00311279296875, 0.0022430419921875, 0.0018310546875, 0.0016326904296875, 0.0029754638671875, 0.002716064453125, 0.0042724609375, 0.0037078857421875, 0.0029449462890625, 0.0027923583984375, 0.001800537109375, 0.0013885498046875, 0.00091552734375, 0.0006256103515625, 0.00091552734375, 0.0010833740234375, 0.001708984375, 0.0020294189453125, 0.00311279296875, 0.0025634765625, 0.0031890869140625, 0.0029754638671875, 0.002593994140625, 0.0030364990234375, 0.0056304931640625, 0.0049896240234375, 0.0073089599609375, 0.0078582763671875, 0.0082244873046875, 0.007904052734375, 0.0138397216796875, 0.018096923828125, 0.0138702392578125, 0.012054443359375, 0.0123748779296875, 0.016265869140625, 0.0178680419921875, 0.0091094970703125, 0.0103302001953125, 0.018096923828125, 0.0131378173828125, 0.0090789794921875, 0.010009765625, 0.0127716064453125, 0.0263824462890625, 0.026580810546875, 0.02825927734375, 0.019805908203125, 0.0159759521484375, 0.01971435546875, 0.0183868408203125, 0.018157958984375, 0.0178985595703125, 0.0124664306640625, 0.0080718994140625, 0.0091400146484375, 0.0179290771484375, 0.0174102783203125, 0.011749267578125, 0.0117950439453125, 0.018798828125, 0.009765625, 0.0238189697265625, 0.0269775390625, 0.0202484130859375, 0.0209197998046875, 0.0143280029296875, 0.0161895751953125, 0.0209197998046875, 0.0084228515625, 0.011016845703125, 0.01824951171875, 0.0121002197265625, 0.007293701171875, 0.0216064453125, 0.0169830322265625, 0.0263824462890625, 0.0145111083984375, 0.0164947509765625, 0.012359619140625, 0.0108642578125, 0.011260986328125, 0.005523681640625, 0.00518798828125, 0.00341796875, 0.003173828125, 0.0037841796875, 0.005096435546875, 0.0035247802734375, 0.0021209716796875, 0.0011444091796875, 0.0014190673828125, 0.001434326171875, 0.001617431640625, 0.0015411376953125, 0.001678466796875, 0.0013275146484375, 0.001190185546875, 0.001220703125, 0.0009613037109375, 0.0012359619140625, 0.0010833740234375, 0.001617431640625, 0.0012664794921875, 0.0016326904296875, 0.0012664794921875, 0.0014190673828125, 0.0015411376953125, 0.0033721923828125, 0.0027313232421875, 0.0033416748046875, 0.0023651123046875, 0.0021514892578125, 0.0015411376953125, 0.001708984375, 0.0018768310546875, 0.001983642578125, 0.0020294189453125, 0.0017852783203125, 0.001617431640625, 0.001312255859375, 0.0014801025390625, 0.0021209716796875, 0.0023040771484375, 0.0018768310546875, 0.0016632080078125, 0.0016021728515625, 0.0016632080078125, 0.001495361328125, 0.0017242431640625, 0.0017547607421875, 0.0013580322265625, 0.001556396484375, 0.0016937255859375, 0.001220703125, 0.0011444091796875, 0.0015106201171875, 0.00201416015625, 0.001556396484375, 0.00213623046875, 0.00201416015625, 0.001312255859375, 0.0020294189453125, 0.001983642578125, 0.0025177001953125, 0.0025482177734375, 0.0026092529296875, 0.004241943359375, 0.006195068359375, 0.0053253173828125, 0.007843017578125, 0.0069580078125, 0.0065765380859375, 0.004852294921875, 0.00408935546875, 0.0072479248046875, 0.008056640625, 0.00872802734375, 0.0115203857421875, 0.01055908203125, 0.01373291015625, 0.0164031982421875, 0.0162506103515625, 0.017059326171875, 0.0162353515625, 0.018646240234375, 0.0121612548828125, 0.0154571533203125, 0.0106048583984375, 0.0163421630859375, 0.0166168212890625, 0.0118865966796875, 0.0106353759765625, 0.006927490234375, 0.008880615234375, 0.0087890625, 0.009002685546875, 0.013885498046875, 0.0137481689453125, 0.006195068359375, 0.0135650634765625, 0.0079803466796875, 0.0057525634765625, 0.01116943359375, 0.01190185546875, 0.0124053955078125, 0.02239990234375, 0.0216522216796875, 0.0250091552734375, 0.021697998046875, 0.011993408203125, 0.0084686279296875, 0.01312255859375, 0.0137786865234375, 0.017242431640625, 0.0145111083984375, 0.014862060546875, 0.0150604248046875, 0.0106658935546875, 0.0211334228515625, 0.01605224609375, 0.022491455078125, 0.0233306884765625, 0.02789306640625, 0.0229339599609375, 0.0166168212890625, 0.0094757080078125, 0.01416015625, 0.0155029296875, 0.0131378173828125, 0.0221710205078125, 0.015289306640625, 0.0094146728515625, 0.009918212890625, 0.0083160400390625, 0.0062713623046875, 0.011993408203125, 0.0074920654296875, 0.0107574462890625, 0.0120391845703125, 0.0075225830078125, 0.0091705322265625, 0.00775146484375, 0.0049896240234375, 0.00482177734375, 0.003021240234375, 0.00433349609375, 0.00537109375, 0.0092010498046875, 0.0118560791015625, 0.0130462646484375, 0.00714111328125, 0.0023193359375, 0.0036468505859375, 0.00555419921875, 0.00250244140625, 0.00274658203125, 0.001739501953125, 0.0019378662109375, 0.0019073486328125, 0.0017242431640625, 0.0015869140625, 0.0028228759765625, 0.0035552978515625, 0.0026397705078125, 0.0018310546875, 0.0020904541015625, 0.0032958984375, 0.00274658203125, 0.0021820068359375, 0.001708984375, 0.001617431640625, 0.0014495849609375, 0.001983642578125, 0.00213623046875, 0.002105712890625, 0.002899169921875, 0.0026092529296875, 0.0024871826171875, 0.0022125244140625, 0.00201416015625, 0.001678466796875, 0.001861572265625, 0.00140380859375, 0.0009613037109375, 0.000823974609375, 0.0008392333984375, 0.0008544921875, 0.0005950927734375, 0.000640869140625, 0.00079345703125, 0.001068115234375, 0.001495361328125, 0.0013427734375, 0.000946044921875, 0.000946044921875, 0.0010223388671875, 0.001190185546875, 0.000946044921875, 0.0009613037109375, 0.001190185546875, 0.0008087158203125, 0.0009613037109375, 0.0040740966796875, 0.008148193359375, 0.0085906982421875, 0.0069732666015625, 0.0059661865234375, 0.006439208984375, 0.0045318603515625, 0.0048065185546875, 0.0020599365234375, 0.0141143798828125, 0.0158843994140625, 0.016510009765625, 0.02581787109375, 0.024444580078125, 0.0236053466796875, 0.0158843994140625, 0.0106658935546875, 0.0108489990234375, 0.014190673828125, 0.0151519775390625, 0.0145416259765625, 0.010162353515625, 0.0119476318359375, 0.007568359375, 0.0067901611328125, 0.0045928955078125, 0.0076446533203125, 0.0082244873046875, 0.008636474609375, 0.00823974609375, 0.0095367431640625, 0.0108795166015625, 0.0064544677734375, 0.0074310302734375, 0.006011962890625, 0.00604248046875, 0.0096588134765625, 0.0115814208984375, 0.0126190185546875, 0.0117340087890625, 0.0120086669921875, 0.01885986328125, 0.0156707763671875, 0.01373291015625, 0.0113983154296875, 0.0077362060546875, 0.0112457275390625, 0.010284423828125, 0.01123046875, 0.0112152099609375, 0.0044097900390625, 0.0079345703125, 0.0058135986328125, 0.0089569091796875, 0.007080078125, 0.0084228515625, 0.0093536376953125, 0.0053558349609375, 0.0048065185546875, 0.008697509765625, 0.0095367431640625, 0.005126953125, 0.0044403076171875, 0.0050506591796875, 0.005126953125, 0.00433349609375, 0.004119873046875, 0.00555419921875, 0.006439208984375, 0.00494384765625, 0.003204345703125, 0.00457763671875, 0.003570556640625, 0.0037078857421875, 0.0032501220703125, 0.0032196044921875, 0.0032196044921875, 0.003021240234375, 0.0037384033203125, 0.006134033203125, 0.003173828125, 0.00238037109375, 0.0023193359375, 0.00213623046875, 0.0023651123046875, 0.0020904541015625, 0.003082275390625, 0.0019989013671875, 0.0014801025390625, 0.0013580322265625, 0.0014801025390625, 0.0019073486328125, 0.001312255859375, 0.0012664794921875, 0.0016021728515625, 0.002288818359375, 0.0024871826171875, 0.0019989013671875, 0.0024261474609375, 0.001983642578125, 0.001861572265625, 0.00299072265625, 0.00189208984375, 0.0034637451171875, 0.0030975341796875, 0.004364013671875, 0.0023956298828125, 0.0027313232421875, 0.0030517578125, 0.0030670166015625, 0.0023651123046875, 0.0019378662109375, 0.0012054443359375, 0.0015411376953125, 0.0013580322265625, 0.0015106201171875, 0.001708984375, 0.0009002685546875, 0.001129150390625, 0.0011138916015625, 0.00128173828125, 0.0035400390625, 0.0022125244140625, 0.0026397705078125, 0.002685546875, 0.0015411376953125, 0.001617431640625, 0.001861572265625, 0.00140380859375, 0.002044677734375, 0.003265380859375, 0.0054779052734375, 0.00543212890625, 0.003875732421875, 0.0028076171875, 0.0025634765625, 0.0029144287109375, 0.0023651123046875, 0.0029144287109375, 0.003326416015625, 0.0048675537109375, 0.0057220458984375, 0.00494384765625, 0.00604248046875, 0.0097808837890625, 0.0048675537109375, 0.007781982421875, 0.008056640625, 0.00970458984375, 0.012603759765625, 0.0150604248046875, 0.0140838623046875, 0.0132293701171875, 0.007110595703125, 0.0173492431640625, 0.02020263671875, 0.01708984375, 0.0084991455078125, 0.00592041015625, 0.0090789794921875, 0.01080322265625, 0.0191192626953125, 0.01666259765625, 0.0275421142578125, 0.0157470703125, 0.0130615234375, 0.0209503173828125, 0.017730712890625, 0.0223846435546875, 0.018707275390625, 0.014801025390625, 0.01910400390625, 0.0151214599609375, 0.0241241455078125, 0.020294189453125, 0.02447509765625, 0.0196685791015625, 0.019134521484375, 0.01812744140625, 0.02386474609375, 0.030914306640625, 0.0222625732421875, 0.0208282470703125, 0.015838623046875, 0.017425537109375, 0.01025390625, 0.011505126953125, 0.007720947265625, 0.0088958740234375, 0.0068206787109375, 0.009613037109375, 0.0140228271484375, 0.011383056640625, 0.00634765625, 0.0081024169921875, 0.00836181640625, 0.008636474609375, 0.0047149658203125, 0.0032501220703125, 0.0034332275390625, 0.003509521484375, 0.0029144287109375, 0.001983642578125, 0.00457763671875, 0.003204345703125, 0.0032501220703125, 0.002655029296875, 0.00128173828125, 0.0015106201171875, 0.0017547607421875, 0.002685546875, 0.0016021728515625, 0.00201416015625, 0.0013580322265625, 0.002960205078125, 0.002960205078125, 0.0030670166015625, 0.00250244140625, 0.002288818359375, 0.002288818359375, 0.0020904541015625, 0.0015411376953125, 0.002471923828125, 0.0015716552734375, 0.0009918212890625, 0.001251220703125, 0.0011138916015625, 0.0010833740234375, 0.001190185546875, 0.0010528564453125, 0.0008392333984375, 0.0014190673828125, 0.0046844482421875, 0.0042266845703125, 0.00518798828125, 0.0048065185546875, 0.0037384033203125, 0.0038604736328125, 0.00384521484375, 0.003448486328125, 0.0021820068359375, 0.0015106201171875, 0.0030364990234375, 0.002471923828125, 0.00384521484375, 0.0034332275390625, 0.003204345703125, 0.0027313232421875, 0.002288818359375, 0.00201416015625, 0.0019073486328125, 0.0018463134765625, 0.0016021728515625, 0.0016021728515625, 0.001312255859375, 0.0020599365234375, 0.0024261474609375, 0.0019073486328125, 0.00140380859375, 0.0009918212890625, 0.00103759765625, 0.001190185546875, 0.001190185546875, 0.0011749267578125, 0.001007080078125, 0.0009918212890625, 0.000762939453125, 0.0011138916015625, 0.000701904296875, 0.0006866455078125, 0.0010986328125, 0.00091552734375, 0.0009765625, 0.0021209716796875, 0.0028839111328125, 0.002593994140625, 0.002960205078125, 0.002471923828125, 0.0048980712890625, 0.004150390625, 0.004547119140625, 0.0042724609375, 0.002716064453125, 0.0020599365234375, 0.00201416015625, 0.002471923828125, 0.0026397705078125, 0.002410888671875, 0.0025482177734375, 0.001983642578125, 0.0021209716796875, 0.001922607421875, 0.0012969970703125, 0.0016021728515625, 0.0013580322265625, 0.002349853515625, 0.0035247802734375, 0.0061492919921875, 0.007232666015625, 0.00439453125, 0.011138916015625, 0.0066680908203125, 0.00421142578125, 0.0040283203125, 0.00811767578125, 0.0029754638671875, 0.00335693359375, 0.0029296875, 0.001617431640625, 0.001983642578125, 0.0019073486328125, 0.0017852783203125, 0.0019683837890625, 0.0020904541015625, 0.001251220703125, 0.001708984375, 0.00250244140625, 0.0022125244140625, 0.002685546875, 0.0014190673828125, 0.0011138916015625, 0.001251220703125, 0.00146484375, 0.0020294189453125, 0.0007171630859375, 0.001129150390625, 0.0013275146484375, 0.0009307861328125, 0.000885009765625, 0.0009918212890625, 0.001068115234375, 0.0009765625, 0.0009613037109375, 0.000579833984375, 0.0009002685546875, 0.00152587890625, 0.0011444091796875, 0.000946044921875, 0.0007171630859375, 0.0007171630859375, 0.00079345703125, 0.000885009765625, 0.000885009765625, 0.0052947998046875, 0.006561279296875, 0.0079498291015625, 0.0045318603515625, 0.00469970703125, 0.001953125, 0.0026702880859375, 0.0085601806640625, 0.009490966796875, 0.010772705078125, 0.0110931396484375, 0.0095367431640625, 0.00970458984375, 0.0073089599609375, 0.005889892578125, 0.0069122314453125, 0.012298583984375, 0.0102691650390625, 0.01007080078125, 0.01434326171875, 0.0211029052734375, 0.024658203125, 0.0228271484375, 0.0108795166015625, 0.012359619140625, 0.011749267578125, 0.02935791015625, 0.030181884765625, 0.02044677734375, 0.0076751708984375, 0.0102081298828125, 0.0081787109375, 0.007415771484375, 0.030303955078125, 0.032440185546875, 0.0403900146484375, 0.021759033203125, 0.0131988525390625, 0.0128173828125, 0.0123443603515625, 0.0126953125, 0.0081634521484375, 0.003875732421875, 0.0035552978515625, 0.003692626953125, 0.002410888671875, 0.00299072265625, 0.0037841796875, 0.0030670166015625, 0.002227783203125, 0.002899169921875, 0.0021820068359375, 0.001800537109375, 0.00128173828125, 0.003143310546875, 0.0020294189453125, 0.001861572265625, 0.0017242431640625, 0.0012969970703125, 0.0009613037109375, 0.0015411376953125, 0.00103759765625, 0.0011749267578125, 0.000732421875, 0.0014190673828125, 0.0026092529296875, 0.00225830078125, 0.002227783203125, 0.0015106201171875, 0.001190185546875, 0.001312255859375, 0.0012664794921875, 0.00115966796875, 0.000946044921875, 0.00140380859375, 0.00115966796875, 0.0012359619140625, 0.001007080078125, 0.0007476806640625, 0.0017852783203125, 0.00146484375, 0.001861572265625, 0.0021209716796875, 0.001190185546875, 0.00250244140625, 0.0028533935546875, 0.0028228759765625, 0.0030364990234375, 0.003143310546875, 0.001861572265625, 0.0016937255859375, 0.0013275146484375, 0.00152587890625, 0.001617431640625, 0.0020751953125, 0.001922607421875, 0.000701904296875, 0.00128173828125, 0.0019073486328125, 0.0015106201171875, 0.000732421875, 0.00115966796875, 0.001312255859375, 0.0015716552734375, 0.000885009765625, 0.0011138916015625, 0.0010223388671875, 0.00091552734375, 0.001007080078125, 0.0009765625, 0.001373291015625, 0.0019989013671875, 0.00091552734375, 0.00103759765625, 0.001007080078125, 0.0009765625, 0.0008697509765625, 0.00152587890625, 0.0010986328125, 0.0074005126953125, 0.005035400390625, 0.0048675537109375, 0.0039215087890625, 0.0026092529296875, 0.0025177001953125, 0.0024261474609375, 0.0020294189453125, 0.0018463134765625, 0.001922607421875, 0.0018463134765625, 0.0022735595703125, 0.0019073486328125, 0.00164794921875, 0.00177001953125, 0.0023040771484375, 0.0016632080078125, 0.0016021728515625, 0.0020599365234375, 0.0026702880859375, 0.001922607421875, 0.0017852783203125, 0.0022125244140625, 0.001617431640625, 0.0018310546875, 0.001617431640625, 0.0015869140625, 0.0015869140625, 0.001220703125, 0.0025787353515625, 0.00189208984375, 0.0023651123046875, 0.00274658203125, 0.0032806396484375, 0.0036773681640625, 0.0045928955078125, 0.002166748046875, 0.0016937255859375, 0.0019683837890625, 0.002899169921875, 0.0021514892578125, 0.0019378662109375, 0.0019378662109375, 0.0013580322265625, 0.0020904541015625, 0.00189208984375, 0.0009765625, 0.001434326171875, 0.0018310546875, 0.0033721923828125, 0.003204345703125, 0.004669189453125, 0.005035400390625, 0.0035552978515625, 0.0026702880859375, 0.00286865234375, 0.0025482177734375, 0.0031585693359375, 0.0047149658203125, 0.0039825439453125, 0.0070648193359375, 0.003997802734375, 0.0043792724609375, 0.004638671875, 0.005767822265625, 0.0074615478515625, 0.007476806640625, 0.0090789794921875, 0.0072021484375, 0.008819580078125, 0.019927978515625, 0.02520751953125, 0.0279998779296875, 0.0372772216796875, 0.0323944091796875, 0.0306549072265625, 0.030029296875, 0.0136871337890625, 0.0150909423828125, 0.0076904296875, 0.0066375732421875, 0.0057373046875, 0.0062255859375, 0.004852294921875, 0.005706787109375, 0.0044403076171875, 0.0030364990234375, 0.0056304931640625, 0.0098724365234375, 0.006622314453125, 0.004669189453125, 0.0033416748046875, 0.0068817138671875, 0.00360107421875, 0.0036773681640625, 0.002197265625, 0.0028839111328125, 0.0028533935546875, 0.0033111572265625, 0.0023040771484375, 0.002105712890625, 0.00128173828125, 0.00164794921875, 0.0019683837890625, 0.0023956298828125, 0.0024871826171875, 0.0018768310546875, 0.0013275146484375, 0.0016021728515625, 0.001617431640625, 0.001434326171875, 0.0023651123046875, 0.002716064453125, 0.0022735595703125, 0.0028076171875, 0.0032501220703125, 0.0044708251953125, 0.0026092529296875, 0.001739501953125, 0.0018157958984375, 0.00323486328125, 0.0033721923828125, 0.00201416015625, 0.0013885498046875, 0.0029754638671875, 0.002471923828125, 0.002685546875, 0.0014495849609375, 0.001373291015625, 0.0017242431640625, 0.0011749267578125, 0.00128173828125, 0.0017852783203125, 0.0042266845703125, 0.0110626220703125, 0.0234527587890625, 0.0144195556640625, 0.00738525390625, 0.010040283203125, 0.009246826171875, 0.0078582763671875, 0.0065460205078125, 0.00787353515625, 0.0142669677734375, 0.0197296142578125, 0.0180511474609375, 0.014129638671875, 0.0083770751953125, 0.01318359375, 0.01043701171875, 0.010528564453125, 0.00634765625, 0.007904052734375, 0.0045623779296875, 0.0060882568359375, 0.006134033203125, 0.004852294921875, 0.004669189453125, 0.0047454833984375, 0.0049591064453125, 0.004730224609375, 0.0033111572265625, 0.00244140625, 0.003204345703125, 0.0040435791015625, 0.001708984375, 0.0022430419921875, 0.0027923583984375, 0.00213623046875, 0.002685546875, 0.0029754638671875, 0.002960205078125, 0.0035400390625, 0.0031585693359375, 0.0030517578125, 0.0036163330078125, 0.0040435791015625, 0.0023651123046875, 0.004638671875, 0.0026702880859375, 0.0062713623046875, 0.00543212890625, 0.003204345703125, 0.0028076171875, 0.0031280517578125, 0.0066680908203125, 0.01055908203125, 0.00811767578125, 0.003875732421875, 0.0043487548828125, 0.0042572021484375, 0.0031585693359375, 0.003204345703125, 0.003631591796875, 0.0035552978515625, 0.00323486328125, 0.006378173828125, 0.0105133056640625, 0.0083465576171875, 0.012481689453125, 0.0118255615234375, 0.006378173828125, 0.00445556640625, 0.0030364990234375, 0.0073089599609375, 0.014801025390625, 0.007476806640625, 0.0089111328125, 0.0072021484375, 0.0042724609375, 0.0061492919921875, 0.0033416748046875, 0.002960205078125, 0.002197265625, 0.0023193359375, 0.002288818359375, 0.00311279296875, 0.0019683837890625, 0.0023651123046875, 0.0020599365234375, 0.00262451171875, 0.00213623046875, 0.001617431640625, 0.0014801025390625, 0.0013885498046875, 0.0009918212890625, 0.000732421875, 0.0005035400390625, 0.000823974609375, 0.0010223388671875, 0.001007080078125, 0.0007781982421875, 0.0007781982421875, 0.00091552734375, 0.0007476806640625, 0.00048828125, 0.0002899169921875, 0.00018310546875, 0.000335693359375, 0.000213623046875, 0.00018310546875, 9.1552734375e-05, 3.0517578125e-05, 0.0, 0.0]