[0.0, 3.0517578125e-05, 4.57763671875e-05, 6.103515625e-05, 7.62939453125e-05, 0.0001678466796875, 0.001068115234375, 0.004119873046875, 0.00543212890625, 0.0063323974609375, 0.0078582763671875, 0.0042572021484375, 0.006683349609375, 0.1730804443359375, 0.3613433837890625, 0.261962890625, 0.252777099609375, 0.2436065673828125, 0.23480224609375, 0.2794647216796875, 0.3279876708984375, 0.311126708984375, 0.2242584228515625, 0.2098388671875, 0.2308807373046875, 0.2549591064453125, 0.173431396484375, 0.11553955078125, 0.1483001708984375, 0.0904083251953125, 0.1307830810546875, 0.1502838134765625, 0.1785125732421875, 0.196258544921875, 0.144775390625, 0.16290283203125, 0.2034912109375, 0.1798248291015625, 0.1511993408203125, 0.1591644287109375, 0.1661834716796875, 0.1292877197265625, 0.095977783203125, 0.1204681396484375, 0.1173553466796875, 0.1037445068359375, 0.115936279296875, 0.1182708740234375, 0.046478271484375, 0.0845489501953125, 0.0684967041015625, 0.046661376953125, 0.0472869873046875, 0.0477142333984375, 0.0488433837890625, 0.05169677734375, 0.03582763671875, 0.0422210693359375, 0.033538818359375, 0.030364990234375, 0.0332489013671875, 0.0275726318359375, 0.0245208740234375, 0.0213470458984375, 0.0314483642578125, 0.027099609375, 0.0213470458984375, 0.0337677001953125, 0.0317535400390625, 0.0350189208984375, 0.0373687744140625, 0.0278778076171875, 0.041656494140625, 0.047943115234375, 0.05352783203125, 0.0517120361328125, 0.03619384765625, 0.0344696044921875, 0.0246734619140625, 0.0583648681640625, 0.04150390625, 0.04205322265625, 0.0392608642578125, 0.044769287109375, 0.0348968505859375, 0.0479736328125, 0.0485687255859375, 0.0294036865234375, 0.0282745361328125, 0.0282440185546875, 0.02581787109375, 0.02978515625, 0.0186920166015625, 0.0184478759765625, 0.0212554931640625, 0.0238494873046875, 0.0196380615234375, 0.01287841796875, 0.025787353515625, 0.022705078125, 0.0180816650390625, 0.0405120849609375, 0.0302734375, 0.0381622314453125, 0.0313720703125, 0.020050048828125, 0.02215576171875, 0.02435302734375, 0.024810791015625, 0.0330047607421875, 0.017974853515625, 0.0242156982421875, 0.0405120849609375, 0.028228759765625, 0.0273590087890625, 0.03057861328125, 0.0205841064453125, 0.0117034912109375, 0.015106201171875, 0.017974853515625, 0.0171356201171875, 0.0263824462890625, 0.0153961181640625, 0.01776123046875, 0.0291748046875, 0.0239410400390625, 0.035491943359375, 0.033111572265625, 0.0211181640625, 0.0356597900390625, 0.0184783935546875, 0.029296875, 0.022796630859375, 0.0231475830078125, 0.0425872802734375, 0.0404205322265625, 0.04931640625, 0.0388031005859375, 0.030364990234375, 0.02410888671875, 0.014801025390625, 0.021575927734375, 0.02020263671875, 0.020660400390625, 0.01708984375, 0.0110931396484375, 0.03558349609375, 0.0309600830078125, 0.028228759765625, 0.0175933837890625, 0.013671875, 0.0211639404296875, 0.0223541259765625, 0.01629638671875, 0.028839111328125, 0.012603759765625, 0.0145721435546875, 0.020843505859375, 0.026519775390625, 0.0208740234375, 0.0185546875, 0.022064208984375, 0.0198516845703125, 0.027557373046875, 0.0168914794921875, 0.031707763671875, 0.0479583740234375, 0.0447235107421875, 0.02362060546875, 0.0238800048828125, 0.0434722900390625, 0.0475616455078125, 0.03369140625, 0.0509796142578125, 0.05615234375, 0.0202178955078125, 0.0574951171875, 0.0391998291015625, 0.05426025390625, 0.03741455078125, 0.045013427734375, 0.04833984375, 0.0568389892578125, 0.0463104248046875, 0.04583740234375, 0.0626068115234375, 0.0420379638671875, 0.053985595703125, 0.0324249267578125, 0.036102294921875, 0.037139892578125, 0.04827880859375, 0.0171051025390625, 0.0313873291015625, 0.02874755859375, 0.0234375, 0.0276947021484375, 0.01959228515625, 0.02734375, 0.0274505615234375, 0.024627685546875, 0.02459716796875, 0.0177764892578125, 0.021392822265625, 0.022705078125, 0.01849365234375, 0.0244903564453125, 0.0256500244140625, 0.06591796875, 0.054901123046875, 0.052215576171875, 0.041717529296875, 0.03668212890625, 0.0433197021484375, 0.02032470703125, 0.023162841796875, 0.0279083251953125, 0.0122833251953125, 0.028472900390625, 0.03167724609375, 0.031280517578125, 0.044525146484375, 0.0348052978515625, 0.0265045166015625, 0.0293121337890625, 0.02008056640625, 0.026092529296875, 0.0403900146484375, 0.0338287353515625, 0.0212554931640625, 0.032928466796875, 0.03045654296875, 0.0383758544921875, 0.0373382568359375, 0.062835693359375, 0.040283203125, 0.027801513671875, 0.02960205078125, 0.029632568359375, 0.0257720947265625, 0.03125, 0.0251007080078125, 0.0149993896484375, 0.0108184814453125, 0.02178955078125, 0.0233306884765625, 0.0254669189453125, 0.030487060546875, 0.029693603515625, 0.0195770263671875, 0.021484375, 0.0223388671875, 0.0277099609375, 0.030120849609375, 0.02203369140625, 0.01788330078125, 0.0182342529296875, 0.029632568359375, 0.0200958251953125, 0.0165252685546875, 0.02130126953125, 0.0185394287109375, 0.0185699462890625, 0.01611328125, 0.0169219970703125, 0.0144195556640625, 0.020050048828125, 0.0190582275390625, 0.0134429931640625, 0.0096282958984375, 0.009735107421875, 0.00927734375, 0.0106658935546875, 0.0061798095703125, 0.006378173828125, 0.0113677978515625, 0.0134124755859375, 0.0111236572265625, 0.0134429931640625, 0.014068603515625, 0.0151214599609375, 0.012237548828125, 0.013671875, 0.012847900390625, 0.017791748046875, 0.0087738037109375, 0.015228271484375, 0.0102386474609375, 0.011138916015625, 0.0109405517578125, 0.014984130859375, 0.018951416015625, 0.019195556640625, 0.018951416015625, 0.0192718505859375, 0.025238037109375, 0.0184326171875, 0.0267181396484375, 0.0247955322265625, 0.0204620361328125, 0.020782470703125, 0.0203857421875, 0.0127410888671875, 0.0214080810546875, 0.0209197998046875, 0.0200653076171875, 0.015625, 0.0219879150390625, 0.0334930419921875, 0.021942138671875, 0.014495849609375, 0.02117919921875, 0.0188140869140625, 0.0184478759765625, 0.01580810546875, 0.013397216796875, 0.0233612060546875, 0.0114593505859375, 0.0111846923828125, 0.00897216796875, 0.0184478759765625, 0.01605224609375, 0.0148468017578125, 0.0128173828125, 0.0130462646484375, 0.014129638671875, 0.0120086669921875, 0.0132598876953125, 0.0279541015625, 0.04150390625, 0.04400634765625, 0.0264434814453125, 0.0186614990234375, 0.019989013671875, 0.0225372314453125, 0.023162841796875, 0.02081298828125, 0.0301361083984375, 0.0188751220703125, 0.0264129638671875, 0.0245361328125, 0.018829345703125, 0.0238494873046875, 0.019317626953125, 0.02117919921875, 0.0157623291015625, 0.0235137939453125, 0.022003173828125, 0.0176544189453125, 0.0219573974609375, 0.0175628662109375, 0.0252532958984375, 0.0322723388671875, 0.0146331787109375, 0.02496337890625, 0.0296783447265625, 0.026092529296875, 0.0174713134765625, 0.041290283203125, 0.0337066650390625, 0.04437255859375, 0.0336456298828125, 0.0284423828125, 0.0355987548828125, 0.026214599609375, 0.0392608642578125, 0.041046142578125, 0.0399932861328125, 0.0273590087890625, 0.032501220703125, 0.0309906005859375, 0.0235443115234375, 0.04437255859375, 0.0281829833984375, 0.034637451171875, 0.0308685302734375, 0.0101318359375, 0.0265655517578125, 0.027496337890625, 0.03253173828125, 0.017852783203125, 0.0182037353515625, 0.00799560546875, 0.015869140625, 0.0143585205078125, 0.0124359130859375, 0.01898193359375, 0.01708984375, 0.0121002197265625, 0.015777587890625, 0.02142333984375, 0.02215576171875, 0.01409912109375, 0.0153961181640625, 0.0149688720703125, 0.019195556640625, 0.0169219970703125, 0.0143890380859375, 0.018157958984375, 0.0180816650390625, 0.0205230712890625, 0.013397216796875, 0.00885009765625, 0.0217132568359375, 0.0235137939453125, 0.0163421630859375, 0.02972412109375, 0.0156707763671875, 0.02325439453125, 0.0280609130859375, 0.0275421142578125, 0.0515289306640625, 0.031341552734375, 0.03033447265625, 0.0317840576171875, 0.03863525390625, 0.031219482421875, 0.0302734375, 0.033294677734375, 0.03363037109375, 0.0289154052734375, 0.0283050537109375, 0.0262451171875, 0.03887939453125, 0.019134521484375, 0.019866943359375, 0.0204925537109375, 0.0135345458984375, 0.0134429931640625, 0.0200347900390625, 0.020111083984375, 0.0201263427734375, 0.0142059326171875, 0.0164947509765625, 0.0211639404296875, 0.0218048095703125, 0.0217437744140625, 0.0094146728515625, 0.0263519287109375, 0.03033447265625, 0.0283966064453125, 0.0179290771484375, 0.0184326171875, 0.02569580078125, 0.024749755859375, 0.0345916748046875, 0.027191162109375, 0.017425537109375, 0.0334320068359375, 0.029205322265625, 0.022308349609375, 0.0248260498046875, 0.0426483154296875, 0.035614013671875, 0.0183258056640625, 0.030487060546875, 0.032501220703125, 0.02264404296875, 0.0197601318359375, 0.02423095703125, 0.023406982421875, 0.0186004638671875, 0.0351409912109375, 0.0235137939453125, 0.024688720703125, 0.050048828125, 0.028045654296875, 0.0208740234375, 0.0297698974609375, 0.032073974609375, 0.0359344482421875, 0.0207061767578125, 0.0428924560546875, 0.0672607421875, 0.069305419921875, 0.0455322265625, 0.0281982421875, 0.0476226806640625, 0.0572357177734375, 0.034637451171875, 0.0186614990234375, 0.0453643798828125, 0.042694091796875, 0.053985595703125, 0.0635223388671875, 0.031768798828125, 0.0476531982421875, 0.042816162109375, 0.0437774658203125, 0.04266357421875, 0.0465850830078125, 0.0384674072265625, 0.0299224853515625, 0.0359344482421875, 0.0261688232421875, 0.0366058349609375, 0.0275115966796875, 0.0268402099609375, 0.028411865234375, 0.013885498046875, 0.02935791015625, 0.0247039794921875, 0.0163116455078125, 0.0208892822265625, 0.0219573974609375, 0.01043701171875, 0.0137176513671875, 0.0124664306640625, 0.0097198486328125, 0.01361083984375, 0.0135040283203125, 0.0097808837890625, 0.0129547119140625, 0.0101318359375, 0.0139312744140625, 0.0178375244140625, 0.0130157470703125, 0.0101165771484375, 0.0187835693359375, 0.018768310546875, 0.0086517333984375, 0.01776123046875, 0.0129547119140625, 0.0107879638671875, 0.009246826171875, 0.0121307373046875, 0.008636474609375, 0.0114898681640625, 0.0146331787109375, 0.01544189453125, 0.017364501953125, 0.0117645263671875, 0.0146942138671875, 0.0087890625, 0.0146026611328125, 0.008544921875, 0.01202392578125, 0.0082244873046875, 0.0117034912109375, 0.0171966552734375, 0.0070037841796875, 0.0082550048828125, 0.0128021240234375, 0.009002685546875, 0.01251220703125, 0.0094146728515625, 0.01263427734375, 0.0116729736328125, 0.0076446533203125, 0.0098419189453125, 0.011810302734375, 0.0076446533203125, 0.0077972412109375, 0.0092620849609375, 0.00689697265625, 0.01141357421875, 0.01263427734375, 0.0069732666015625, 0.012420654296875, 0.0119781494140625, 0.01025390625, 0.009918212890625, 0.0097198486328125, 0.0096588134765625, 0.011199951171875, 0.0099639892578125, 0.0074920654296875, 0.0080108642578125, 0.0077056884765625, 0.006317138671875, 0.0068511962890625, 0.009063720703125, 0.0128021240234375, 0.0096282958984375, 0.0054473876953125, 0.0050506591796875, 0.0074615478515625, 0.0087127685546875, 0.0078277587890625, 0.0040130615234375, 0.00421142578125, 0.0110931396484375, 0.0061492919921875, 0.00958251953125, 0.0089263916015625, 0.00543212890625, 0.012481689453125, 0.0042266845703125, 0.007843017578125, 0.0062255859375, 0.005859375, 0.005157470703125, 0.0043182373046875, 0.0052490234375, 0.0082550048828125, 0.0059967041015625, 0.006103515625, 0.0056304931640625, 0.0056915283203125, 0.004608154296875, 0.006744384765625, 0.0051727294921875, 0.0077667236328125, 0.0081787109375, 0.0069427490234375, 0.0064544677734375, 0.0125885009765625, 0.0098724365234375, 0.0078277587890625, 0.00811767578125, 0.0049591064453125, 0.004730224609375, 0.0063018798828125, 0.0052032470703125, 0.0036468505859375, 0.0048675537109375, 0.0041961669921875, 0.0077056884765625, 0.008819580078125, 0.01068115234375, 0.0086822509765625, 0.0048828125, 0.00506591796875, 0.003875732421875, 0.0032806396484375, 0.004150390625, 0.00286865234375, 0.0065460205078125, 0.006072998046875, 0.0050201416015625, 0.0043487548828125, 0.0080718994140625, 0.007232666015625, 0.00628662109375, 0.004547119140625, 0.0067138671875, 0.0072784423828125, 0.005645751953125, 0.0050506591796875, 0.0065765380859375, 0.0061492919921875, 0.0054168701171875, 0.00567626953125, 0.0038909912109375, 0.006378173828125, 0.0088348388671875, 0.007476806640625, 0.0091552734375, 0.0059967041015625, 0.0061798095703125, 0.0055084228515625, 0.0061798095703125, 0.0052947998046875, 0.004425048828125, 0.0044403076171875, 0.006866455078125, 0.007049560546875, 0.00482177734375, 0.0053558349609375, 0.007598876953125, 0.00732421875, 0.0060577392578125, 0.0066680908203125, 0.007049560546875, 0.006561279296875, 0.0050506591796875, 0.005889892578125, 0.0064697265625, 0.003692626953125, 0.0040435791015625, 0.0030364990234375, 0.003814697265625, 0.006103515625, 0.0052642822265625, 0.0067596435546875, 0.0060577392578125, 0.0026702880859375, 0.003204345703125, 0.005706787109375, 0.005859375, 0.0046234130859375, 0.0037689208984375, 0.0028533935546875, 0.0047454833984375, 0.0072174072265625, 0.0079345703125, 0.005340576171875, 0.0047607421875, 0.006317138671875, 0.0048828125, 0.005859375, 0.0055389404296875, 0.009796142578125, 0.0086212158203125, 0.0081329345703125, 0.0088043212890625, 0.00860595703125, 0.0101470947265625, 0.0134124755859375, 0.012664794921875, 0.005340576171875, 0.01287841796875, 0.0202789306640625, 0.0143890380859375, 0.0103302001953125, 0.0082855224609375, 0.0088653564453125, 0.00689697265625, 0.006256103515625, 0.0035858154296875, 0.0041351318359375, 0.003387451171875, 0.003753662109375, 0.0036773681640625, 0.004486083984375, 0.0021514892578125, 0.003448486328125, 0.005615234375, 0.0021820068359375, 0.0038604736328125, 0.0051116943359375, 0.0037078857421875, 0.0044097900390625, 0.004180908203125, 0.0030364990234375, 0.0034027099609375, 0.005035400390625, 0.0043792724609375, 0.004669189453125, 0.003753662109375, 0.0034332275390625, 0.0032806396484375, 0.0019378662109375, 0.0033111572265625, 0.003082275390625, 0.0032501220703125, 0.005523681640625, 0.0050048828125, 0.0029449462890625, 0.002777099609375, 0.0025177001953125, 0.0023651123046875, 0.00390625, 0.0034332275390625, 0.0034942626953125, 0.00262451171875, 0.002593994140625, 0.0033721923828125, 0.003143310546875, 0.0035858154296875, 0.00244140625, 0.0023956298828125, 0.003814697265625, 0.00494384765625, 0.0037384033203125, 0.0041961669921875, 0.004364013671875, 0.0044708251953125, 0.0049285888671875, 0.0051422119140625, 0.004425048828125, 0.0044708251953125, 0.004913330078125, 0.00299072265625, 0.0036163330078125, 0.002899169921875, 0.005035400390625, 0.0038604736328125, 0.0031280517578125, 0.00274658203125, 0.0023651123046875, 0.0040130615234375, 0.00347900390625, 0.0039215087890625, 0.0023040771484375, 0.00457763671875, 0.00213623046875, 0.0037689208984375, 0.00592041015625, 0.0053558349609375, 0.0042724609375, 0.0042266845703125, 0.0067901611328125, 0.0038604736328125, 0.0063629150390625, 0.00555419921875, 0.006011962890625, 0.002593994140625, 0.002899169921875, 0.004241943359375, 0.00286865234375, 0.003265380859375, 0.003570556640625, 0.0050048828125, 0.0046234130859375, 0.0062255859375, 0.005859375, 0.0045166015625, 0.003692626953125, 0.0059967041015625, 0.005584716796875, 0.00372314453125, 0.0038604736328125, 0.0033416748046875, 0.004608154296875, 0.0052642822265625, 0.0048675537109375, 0.0032958984375, 0.003326416015625, 0.0041961669921875, 0.0029144287109375, 0.00244140625, 0.0031280517578125, 0.0053558349609375, 0.004547119140625, 0.00482177734375, 0.00408935546875, 0.0059967041015625, 0.0037689208984375, 0.0045013427734375, 0.0046844482421875, 0.0052337646484375, 0.00482177734375, 0.003021240234375, 0.0046539306640625, 0.0033416748046875, 0.0030059814453125, 0.0028228759765625, 0.005615234375, 0.00531005859375, 0.0019683837890625, 0.0055694580078125, 0.0053253173828125, 0.00390625, 0.00384521484375, 0.003265380859375, 0.0032196044921875, 0.004241943359375, 0.0042877197265625, 0.004791259765625, 0.0041961669921875, 0.0053558349609375, 0.004913330078125, 0.0039825439453125, 0.0045166015625, 0.0033721923828125, 0.003509521484375, 0.004119873046875, 0.0038299560546875, 0.0049591064453125, 0.0025634765625, 0.0026702880859375, 0.0034942626953125, 0.004364013671875, 0.002166748046875, 0.00445556640625, 0.005157470703125, 0.0043182373046875, 0.0038604736328125, 0.00323486328125, 0.0047454833984375, 0.005615234375, 0.004852294921875, 0.0045318603515625, 0.0040740966796875, 0.003753662109375, 0.0033416748046875, 0.00445556640625, 0.005859375, 0.0035247802734375, 0.0032806396484375, 0.0040283203125, 0.004547119140625, 0.0038604736328125, 0.0027923583984375, 0.0041046142578125, 0.0042572021484375, 0.0034942626953125, 0.0040130615234375, 0.003936767578125, 0.0048065185546875, 0.0027923583984375, 0.0045623779296875, 0.0050048828125, 0.00408935546875, 0.0050506591796875, 0.003570556640625, 0.0061798095703125, 0.0044097900390625, 0.00335693359375, 0.0056304931640625, 0.005523681640625, 0.00567626953125, 0.005401611328125, 0.0043792724609375, 0.00396728515625, 0.0059967041015625, 0.0043792724609375, 0.004241943359375, 0.004241943359375, 0.0057525634765625, 0.005401611328125, 0.005340576171875, 0.005584716796875, 0.0036773681640625, 0.003997802734375, 0.004669189453125, 0.0039215087890625, 0.0023651123046875, 0.003875732421875, 0.0037689208984375, 0.0029754638671875, 0.005401611328125, 0.0063629150390625, 0.0050811767578125, 0.0053253173828125, 0.0047454833984375, 0.002899169921875, 0.0039215087890625, 0.00323486328125, 0.0030059814453125, 0.0045623779296875, 0.00537109375, 0.005706787109375, 0.005706787109375, 0.004364013671875, 0.0046539306640625, 0.0037078857421875, 0.005340576171875, 0.0043487548828125, 0.0031280517578125, 0.0030059814453125, 0.0041656494140625, 0.005645751953125, 0.00408935546875, 0.00360107421875, 0.0034637451171875, 0.0042724609375, 0.0047760009765625, 0.0053253173828125, 0.0034027099609375, 0.0040740966796875, 0.00335693359375, 0.0042266845703125, 0.0043182373046875, 0.0039825439453125, 0.0039520263671875, 0.0030975341796875, 0.0044708251953125, 0.004791259765625, 0.0040130615234375, 0.00421142578125, 0.0040130615234375, 0.0037689208984375, 0.00347900390625, 0.0057525634765625, 0.0042877197265625, 0.0049896240234375, 0.004180908203125, 0.0045928955078125, 0.0055389404296875, 0.0037078857421875, 0.0076904296875, 0.0061798095703125, 0.00579833984375, 0.0045623779296875, 0.00506591796875, 0.0028533935546875, 0.004425048828125, 0.0048828125, 0.0058746337890625, 0.0053558349609375, 0.004638671875, 0.00555419921875, 0.00677490234375, 0.009490966796875, 0.0054473876953125, 0.0039215087890625, 0.0057525634765625, 0.0039520263671875, 0.0043792724609375, 0.0040283203125, 0.00506591796875, 0.008026123046875, 0.0062255859375, 0.004791259765625, 0.003387451171875, 0.006072998046875, 0.0069580078125, 0.005279541015625, 0.0037384033203125, 0.0045013427734375, 0.0049591064453125, 0.004058837890625, 0.0047607421875, 0.005889892578125, 0.0066070556640625, 0.005889892578125, 0.0037689208984375, 0.0041961669921875, 0.005523681640625, 0.006378173828125, 0.0037078857421875, 0.0032958984375, 0.0053558349609375, 0.007293701171875, 0.006500244140625, 0.0070037841796875, 0.0085601806640625, 0.0086212158203125, 0.0057220458984375, 0.0110015869140625, 0.011016845703125, 0.0088958740234375, 0.009735107421875, 0.014251708984375, 0.0129852294921875, 0.006988525390625, 0.0101776123046875, 0.008514404296875, 0.0088348388671875, 0.0072479248046875, 0.0070648193359375, 0.0124053955078125, 0.005828857421875, 0.0101318359375, 0.00775146484375, 0.0064849853515625, 0.006378173828125, 0.0053558349609375, 0.005889892578125, 0.0045623779296875, 0.0056610107421875, 0.0065460205078125, 0.0044403076171875, 0.006561279296875, 0.0068511962890625, 0.006072998046875, 0.0059356689453125, 0.010711669921875, 0.015167236328125, 0.01068115234375, 0.0132598876953125, 0.0123138427734375, 0.010345458984375, 0.01019287109375, 0.007171630859375, 0.0081329345703125, 0.0074005126953125, 0.0095672607421875, 0.00714111328125, 0.0124053955078125, 0.0084686279296875, 0.011505126953125, 0.0094451904296875, 0.0069427490234375, 0.0063323974609375, 0.007965087890625, 0.0078277587890625, 0.008575439453125, 0.007293701171875, 0.0087738037109375, 0.0082550048828125, 0.0072174072265625, 0.00537109375, 0.0069732666015625, 0.008148193359375, 0.0105743408203125, 0.009765625, 0.00457763671875, 0.0051422119140625, 0.007843017578125, 0.009857177734375, 0.0056304931640625, 0.0069732666015625, 0.0075225830078125, 0.0077667236328125, 0.0062255859375, 0.0080718994140625, 0.004486083984375, 0.006744384765625, 0.0057220458984375, 0.0044097900390625, 0.0056915283203125, 0.004608154296875, 0.006500244140625, 0.0057830810546875, 0.0056915283203125, 0.0087738037109375, 0.0055694580078125, 0.0047149658203125, 0.0049591064453125, 0.005767822265625, 0.0043182373046875, 0.007232666015625, 0.009033203125, 0.006927490234375, 0.0046539306640625, 0.0067138671875, 0.0077667236328125, 0.007904052734375, 0.0066375732421875, 0.0053253173828125, 0.0061798095703125, 0.0068511962890625, 0.0067596435546875, 0.005706787109375, 0.0057220458984375, 0.00653076171875, 0.0077056884765625, 0.00726318359375, 0.00537109375, 0.0059967041015625, 0.006317138671875, 0.007293701171875, 0.006988525390625, 0.007080078125, 0.0064849853515625, 0.0068359375, 0.005340576171875, 0.0054168701171875, 0.0087127685546875, 0.0068511962890625, 0.008575439453125, 0.008636474609375, 0.009765625, 0.0162353515625, 0.0189056396484375, 0.012054443359375, 0.011932373046875, 0.0124053955078125, 0.0195159912109375, 0.0150146484375, 0.0124359130859375, 0.0164794921875, 0.0171661376953125, 0.012237548828125, 0.0088043212890625, 0.01531982421875, 0.013519287109375, 0.009307861328125, 0.0104217529296875, 0.0146636962890625, 0.0258026123046875, 0.028656005859375, 0.012664794921875, 0.017608642578125, 0.0120697021484375, 0.0144500732421875, 0.0108184814453125, 0.025634765625, 0.01995849609375, 0.014251708984375, 0.01483154296875, 0.016326904296875, 0.0182647705078125, 0.009307861328125, 0.0223846435546875, 0.0291290283203125, 0.0150299072265625, 0.021514892578125, 0.0251312255859375, 0.0144195556640625, 0.02252197265625, 0.023193359375, 0.064178466796875, 0.0761566162109375, 0.0834503173828125, 0.0528564453125, 0.0416259765625, 0.0305023193359375, 0.02850341796875, 0.045013427734375, 0.0267333984375, 0.024139404296875, 0.02203369140625, 0.018280029296875, 0.017120361328125, 0.01824951171875, 0.018035888671875, 0.0204010009765625, 0.008697509765625, 0.0185089111328125, 0.016082763671875, 0.0191497802734375, 0.011566162109375, 0.0206298828125, 0.0214996337890625, 0.0193939208984375, 0.0126800537109375, 0.0095367431640625, 0.01312255859375, 0.0133209228515625, 0.0120849609375, 0.0167236328125, 0.011383056640625, 0.008758544921875, 0.0077972412109375, 0.0074920654296875, 0.0101776123046875, 0.009521484375, 0.0133514404296875, 0.007568359375, 0.0122222900390625, 0.014984130859375, 0.0146942138671875, 0.011322021484375, 0.0114288330078125, 0.0153961181640625, 0.019287109375, 0.01788330078125, 0.0172576904296875, 0.0145416259765625, 0.0157012939453125, 0.0167694091796875, 0.020233154296875, 0.0367279052734375, 0.051361083984375, 0.0278778076171875, 0.028106689453125, 0.0347900390625, 0.02142333984375, 0.0254364013671875, 0.0226593017578125, 0.0178985595703125, 0.0157318115234375, 0.0148773193359375, 0.01678466796875, 0.0199127197265625, 0.017730712890625, 0.0165863037109375, 0.0230255126953125, 0.0186767578125, 0.0160064697265625, 0.0147705078125, 0.01702880859375, 0.0172576904296875, 0.0162506103515625, 0.016845703125, 0.018157958984375, 0.0134429931640625, 0.01788330078125, 0.0146026611328125, 0.0146636962890625, 0.016326904296875, 0.01715087890625, 0.017486572265625, 0.01251220703125, 0.0183868408203125, 0.0146026611328125, 0.0184173583984375, 0.01263427734375, 0.009857177734375, 0.0131378173828125, 0.0165252685546875, 0.0230255126953125, 0.0265960693359375, 0.031005859375, 0.01409912109375, 0.0150604248046875, 0.0134735107421875, 0.0125885009765625, 0.020843505859375, 0.0135498046875, 0.0159454345703125, 0.008148193359375, 0.0189971923828125, 0.0128021240234375, 0.0173187255859375, 0.017822265625, 0.01092529296875, 0.0137176513671875, 0.008087158203125, 0.0107421875, 0.0087890625, 0.0104522705078125, 0.00848388671875, 0.010772705078125, 0.008880615234375, 0.00897216796875, 0.008209228515625, 0.0060272216796875, 0.00836181640625, 0.007598876953125, 0.0084075927734375, 0.0091094970703125, 0.0103912353515625, 0.0084381103515625, 0.0099945068359375, 0.0098724365234375, 0.007049560546875, 0.00653076171875, 0.0066986083984375, 0.0084228515625, 0.00811767578125, 0.00787353515625, 0.01483154296875, 0.0188446044921875, 0.01910400390625, 0.019256591796875, 0.012786865234375, 0.0152587890625, 0.01312255859375, 0.0105743408203125, 0.0128631591796875, 0.0133514404296875, 0.0109405517578125, 0.0084075927734375, 0.008392333984375, 0.0145416259765625, 0.021270751953125, 0.0192108154296875, 0.0117950439453125, 0.018096923828125, 0.0196533203125, 0.02020263671875, 0.0175323486328125, 0.0079345703125, 0.011199951171875, 0.01129150390625, 0.0123443603515625, 0.021026611328125, 0.020233154296875, 0.00836181640625, 0.010498046875, 0.0192718505859375, 0.0169525146484375, 0.0159454345703125, 0.0111541748046875, 0.0080108642578125, 0.009307861328125, 0.011993408203125, 0.0097503662109375, 0.0084075927734375, 0.009765625, 0.007659912109375, 0.0117034912109375, 0.009185791015625, 0.00921630859375, 0.0148773193359375, 0.0171661376953125, 0.010772705078125, 0.0092010498046875, 0.0204620361328125, 0.010406494140625, 0.016143798828125, 0.01824951171875, 0.03717041015625, 0.0596771240234375, 0.0474395751953125, 0.0451202392578125, 0.0448760986328125, 0.0305328369140625, 0.032135009765625, 0.02337646484375, 0.0319976806640625, 0.0358734130859375, 0.0304412841796875, 0.020172119140625, 0.0294189453125, 0.0251312255859375, 0.0164642333984375, 0.0334320068359375, 0.026702880859375, 0.020111083984375, 0.032470703125, 0.0238037109375, 0.041778564453125, 0.0297698974609375, 0.0276641845703125, 0.0173187255859375, 0.026092529296875, 0.021484375, 0.026519775390625, 0.0216064453125, 0.017669677734375, 0.0122528076171875, 0.015350341796875, 0.0180816650390625, 0.0138702392578125, 0.0114593505859375, 0.01043701171875, 0.0122833251953125, 0.0100860595703125, 0.0125885009765625, 0.01690673828125, 0.013671875, 0.0128631591796875, 0.01336669921875, 0.012176513671875, 0.0133819580078125, 0.0085601806640625, 0.008636474609375, 0.013641357421875, 0.0217132568359375, 0.01861572265625, 0.0144195556640625, 0.0163116455078125, 0.0107574462890625, 0.014190673828125, 0.0145111083984375, 0.018341064453125, 0.010467529296875, 0.00994873046875, 0.0120697021484375, 0.014434814453125, 0.01092529296875, 0.0094451904296875, 0.0084228515625, 0.00537109375, 0.0069427490234375, 0.017578125, 0.0395660400390625, 0.027618408203125, 0.02508544921875, 0.012359619140625, 0.0241241455078125, 0.02740478515625, 0.0161895751953125, 0.0235595703125, 0.01666259765625, 0.024383544921875, 0.01727294921875, 0.0179595947265625, 0.0185394287109375, 0.01544189453125, 0.0137939453125, 0.0119476318359375, 0.017852783203125, 0.0195159912109375, 0.0090789794921875, 0.00848388671875, 0.0118560791015625, 0.009613037109375, 0.0047607421875, 0.0078887939453125, 0.0142059326171875, 0.0178070068359375, 0.00555419921875, 0.01068115234375, 0.016082763671875, 0.0166778564453125, 0.010009765625, 0.0106964111328125, 0.0112152099609375, 0.0091552734375, 0.0112457275390625, 0.0094146728515625, 0.0076446533203125, 0.0117645263671875, 0.0095367431640625, 0.0078125, 0.009368896484375, 0.00714111328125, 0.009368896484375, 0.008758544921875, 0.0095672607421875, 0.0126190185546875, 0.0106201171875, 0.01287841796875, 0.007476806640625, 0.0125885009765625, 0.0106658935546875, 0.01123046875, 0.01361083984375, 0.008392333984375, 0.0084686279296875, 0.0102386474609375, 0.009307861328125, 0.0119171142578125, 0.00921630859375, 0.01318359375, 0.0204620361328125, 0.030029296875, 0.029571533203125, 0.02294921875, 0.0221710205078125, 0.0129852294921875, 0.017578125, 0.05340576171875, 0.0600738525390625, 0.0515899658203125, 0.0485076904296875, 0.032012939453125, 0.0585174560546875, 0.037933349609375, 0.0401763916015625, 0.0391845703125, 0.04119873046875, 0.0323333740234375, 0.0293121337890625, 0.046844482421875, 0.0406341552734375, 0.058837890625, 0.04315185546875, 0.0391998291015625, 0.03564453125, 0.0260772705078125, 0.029296875, 0.0228729248046875, 0.0285186767578125, 0.0320587158203125, 0.0174407958984375, 0.02191162109375, 0.02032470703125, 0.019775390625, 0.026458740234375, 0.0251617431640625, 0.020355224609375, 0.016326904296875, 0.0168914794921875, 0.02740478515625, 0.0256500244140625, 0.019989013671875, 0.01629638671875, 0.0231781005859375, 0.0231781005859375, 0.0218658447265625, 0.01953125, 0.0162200927734375, 0.0145416259765625, 0.0160064697265625, 0.017486572265625, 0.0137939453125, 0.0106048583984375, 0.013458251953125, 0.011688232421875, 0.0084075927734375, 0.00921630859375, 0.0070648193359375, 0.0089874267578125, 0.00885009765625, 0.0102386474609375, 0.00604248046875, 0.0063934326171875, 0.0105133056640625, 0.010040283203125, 0.007232666015625, 0.0106964111328125, 0.0105438232421875, 0.0082550048828125, 0.0087890625, 0.0080413818359375, 0.0122833251953125, 0.008087158203125, 0.0100555419921875, 0.0077056884765625, 0.0112762451171875, 0.0119781494140625, 0.013031005859375, 0.013519287109375, 0.0152587890625, 0.0129547119140625, 0.0088348388671875, 0.01654052734375, 0.0153961181640625, 0.0157623291015625, 0.01348876953125, 0.01580810546875, 0.01727294921875, 0.015655517578125, 0.025177001953125, 0.0191802978515625, 0.0148468017578125, 0.022796630859375, 0.015869140625, 0.02203369140625, 0.0176849365234375, 0.0164642333984375, 0.0156402587890625, 0.023834228515625, 0.0220489501953125, 0.0216217041015625, 0.022430419921875, 0.014251708984375, 0.019744873046875, 0.01239013671875, 0.019775390625, 0.020599365234375, 0.011199951171875, 0.01068115234375, 0.019256591796875, 0.01666259765625, 0.0197601318359375, 0.02056884765625, 0.01708984375, 0.0279693603515625, 0.0236053466796875, 0.0168609619140625, 0.03167724609375, 0.014190673828125, 0.021026611328125, 0.0208587646484375, 0.017608642578125, 0.0174102783203125, 0.0199127197265625, 0.110748291015625, 0.0911712646484375, 0.1057281494140625, 0.0598907470703125, 0.05133056640625, 0.05535888671875, 0.044830322265625, 0.0380401611328125, 0.0341033935546875, 0.022125244140625, 0.023895263671875, 0.0367584228515625, 0.0420074462890625, 0.03875732421875, 0.040130615234375, 0.03662109375, 0.0351715087890625, 0.030029296875, 0.0495452880859375, 0.3552398681640625, 0.3874359130859375, 0.218017578125, 0.111846923828125, 0.0824432373046875, 0.1843109130859375, 0.2448883056640625, 0.19049072265625, 0.2091522216796875, 0.1537017822265625, 0.1502227783203125, 0.0867156982421875, 0.089202880859375, 0.0640411376953125, 0.0826416015625, 0.11309814453125, 0.120025634765625, 0.1158599853515625, 0.0730133056640625, 0.0771636962890625, 0.066497802734375, 0.059295654296875, 0.06298828125, 0.0631561279296875, 0.0597381591796875, 0.077423095703125, 0.071746826171875, 0.0648040771484375, 0.052978515625, 0.0244598388671875, 0.0308685302734375, 0.0289459228515625, 0.0294342041015625, 0.0330810546875, 0.0331878662109375, 0.0283203125, 0.033721923828125, 0.02789306640625, 0.0250396728515625, 0.017608642578125, 0.01953125, 0.0197601318359375, 0.0279998779296875, 0.016204833984375, 0.0188446044921875, 0.018402099609375, 0.0256195068359375, 0.0293731689453125, 0.0208282470703125, 0.0189056396484375, 0.0135040283203125, 0.0392303466796875, 0.037872314453125, 0.04461669921875, 0.055572509765625, 0.0361175537109375, 0.031402587890625, 0.016998291015625, 0.02911376953125, 0.0224151611328125, 0.017852783203125, 0.0241851806640625, 0.0301971435546875, 0.0360870361328125, 0.0315399169921875, 0.0250701904296875, 0.0278778076171875, 0.0228271484375, 0.02105712890625, 0.01556396484375, 0.013519287109375, 0.0199432373046875, 0.0203399658203125, 0.0167999267578125, 0.0181121826171875, 0.01739501953125, 0.011871337890625, 0.0133514404296875, 0.01275634765625, 0.0100250244140625, 0.0106353759765625, 0.011474609375, 0.0112152099609375, 0.0083465576171875, 0.00860595703125, 0.0092620849609375, 0.0084075927734375, 0.0067901611328125, 0.0090789794921875, 0.0090789794921875, 0.0096282958984375, 0.0103912353515625, 0.00994873046875, 0.0111083984375, 0.007904052734375, 0.0028839111328125, 0.0061492919921875, 0.00726318359375, 0.006378173828125, 0.0055389404296875, 0.0048370361328125, 0.00506591796875, 0.005523681640625, 0.00732421875, 0.008026123046875, 0.0082550048828125, 0.00714111328125, 0.0033416748046875, 0.0037841796875, 0.0058441162109375, 0.0068511962890625, 0.0059356689453125, 0.004119873046875, 0.00323486328125, 0.002593994140625, 0.003692626953125, 0.003936767578125, 0.00384521484375, 0.0019378662109375, 0.003082275390625, 0.00335693359375, 0.002593994140625, 0.0019989013671875, 0.0017242431640625, 0.0020751953125, 0.0022735595703125, 0.0014495849609375, 0.001068115234375, 0.00140380859375, 0.00152587890625, 0.0013275146484375, 0.000946044921875, 0.001190185546875, 0.0012969970703125, 0.001312255859375, 0.0007781982421875, 0.000946044921875, 0.0009613037109375, 0.001007080078125, 0.00091552734375, 0.00091552734375, 0.0008544921875, 0.000518798828125, 0.00048828125, 0.0009002685546875, 0.0008544921875, 0.000732421875, 0.000579833984375, 0.0005340576171875, 0.0006561279296875, 0.0012359619140625, 0.0011444091796875, 0.001007080078125, 0.0009002685546875, 0.0006866455078125, 0.0005950927734375, 0.0006256103515625, 0.000732421875, 0.00067138671875, 0.0004730224609375, 0.000244140625, 0.0001678466796875, 0.000244140625, 0.0001678466796875, 0.000244140625, 0.000518798828125, 0.0005035400390625, 0.00042724609375, 0.00030517578125, 0.0003509521484375, 0.000335693359375, 0.0001983642578125, 0.0001068115234375, 0.0001373291015625, 0.0001220703125, 6.103515625e-05, 6.103515625e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 1.52587890625e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 3.0517578125e-05, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
