Input: 0.37782118 0.00906033 0.00390625 0.001953125 0.0032552083 0.0043945312 0.0025499132 0.0016818576 0.0038519965 0.0014648438 0.002875434 0.0011393229 0.0017903646 0.0034722222 0.0013563368 0.004231771 0.0040690103 0.0009765625 0.0011935764 0.0011935764 0.001844618 0.007866753 0.0013563368 0.0010850695 0.0024956597 0.0009765625 0.0011935764 0.0013020834 0.00086805556 0.0016276041 0.0010850695 0.0013563368 0.023763021 0.0013563368 0.001953125 0.0005967882 0.011935764 0.0020073785 0.0007052951 0.0022786458 0.003092448 0.0011935764 0.0024956597 0.0010850695 0.0013020834 0.0015190972 0.002983941 0.0016818576 0.004340278 0.000922309 0.0025499132 0.004123264 0.0027126735 0.00054253475 0.0007595486 0.0007595486 0.0023871528 0.0015733507 0.0025499132 0.0026584202 0.0023871528 0.0013020834 0.0016276041 0.0020073785 0.0049370658 0.0096571185 0.0014648438 0.0021158855 0.010036892 0.0025499132 0.0011393229 0.003797743 0.036187068 0.0073242188 0.00027126737 0.00032552084 0.007486979 0.002170139 0.0034179688 0.001030816 0.005642361 0.0005967882 0.0020073785 0.0016818576 0.002061632 0.0014105903 0.0010850695 0.0015190972 0.004340278 0.00043402778 0.00032552084 0.00054253475 0.0035264757 0.0005967882 0.00043402778 0.0069986978 0.0022786458 0.0126953125 0.0024956597 0.0076497397 0.0072157118 0.019639757 0.0024414062 0.0021158855 0.0041775173 0.011555989 0.000108506945 0.0009765625 0.008192275 0.0045572915 0.009602864 0.009602864 0.009819878 0.00032552084 0.011773003 0.0107421875 0.017578125 0.0075412327 0.0017361111 0.0011393229 0.0022786458 0.001953125 0.00043402778 0.00016276042 0.0007052951 0.0003797743 0.00021701389 0.00016276042 0.0020073785 0.00048828125 0.000108506945 0.005859375 0.0016276041 0.0052083335 0.0005967882 0.0005967882 0.0006510417 0.009765625 0.00021701389 0.024088541 0.0009765625 0.005642361 0.00043402778 0.00016276042 0.001030816 5.4253473e-05 0.00027126737 0.00027126737 0.00043402778 5.4253473e-05 0.00016276042 0.00027126737 0.0003797743 0.001030816 0.00027126737 5.4253473e-05 0.00027126737 0.000108506945 0.000108506945 5.4253473e-05 0.0011935764 0.00027126737 0.00027126737 0.0 0.0013020834 0.0007052951 0.0003797743 5.4253473e-05 0.0006510417 0.0003797743 0.000108506945 5.4253473e-05 0.0003797743 0.000108506945 0.00021701389 0.000108506945 0.0006510417 0.000108506945 5.4253473e-05 5.4253473e-05 0.00043402778 5.4253473e-05 0.0005967882 0.00016276042 0.0012478299 0.0011393229 0.0015190972 0.0003797743 0.00032552084 0.00032552084 0.0015190972 0.00016276042 0.0049370658 0.0011393229 0.0003797743 0.003092448 0.0024956597 0.0003797743 0.00086805556 0.001844618 0.0012478299 0.0011935764 0.00048828125 0.0007595486 0.0087890625 0.00032552084 0.00081380206 0.0006510417 0.0017903646 0.00021701389 0.00086805556 0.0007052951 0.00048828125 0.000108506945 0.0003797743 0.0005967882 0.0017903646 0.00043402778 0.000108506945 0.00086805556 0.00032552084 0.0 0.000108506945 0.0006510417 0.0014105903 0.000108506945 0.00027126737 0.0005967882 0.0007595486 0.000108506945 0.000108506945 0.000108506945 0.0022786458 0.0010850695 0.00043402778 0.0020073785 0.0020073785 0.0007595486 0.00043402778 0.00032552084 0.0014648438 0.00048828125 0.000108506945 5.4253473e-05 0.00021701389 0.000108506945 0.0012478299 0.00043402778 0.0015733507 0.0007052951 0.00081380206 0.0005967882 0.00032552084 0.00032552084 0.00048828125 0.013400608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.084616266 0.0021829044 0.005198759 0.0024414062 0.0024414062 0.0018095128 0.010483686 0.0046817553 0.00071806065 0.0005170037 0.00040211398 0.00034466913 0.0003159467 0.00028722428 0.0005170037 0.00068933825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025534237 0.000114889706 0.005055147 0.0016659007 0.0023839613 0.0012637868 0.015107997 0.0076401653 2.8722427e-05 0.0 0.0 2.8722427e-05 0.0 0.0 0.0 0.0 0.08702895 0.002757353 0.007841222 0.0056008734 0.0054285387 0.0072380514 0.034495633 0.019330192 0.0008616728 0.00057444855 0.00091911765 0.00045955883 0.0010914522 0.00083295035 0.00091911765 0.0010914522 0.1001551 0.005514706 0.017750459 0.010225184 0.015625 0.008099725 0.040814567 0.023408778 0.0023265164 0.00068933825 0.0018956801 0.00080422795 0.0034179688 0.0012637868 0.0014361213 0.0018669578 0.02829159 0.0024126838 0.0028435201 0.0013786765 0.00591682 0.0012925091 0.0018956801 0.0016659007 0.00496898 0.0007755055 0.00040211398 0.0013212316 0.002699908 0.0003159467 0.001005285 0.0016371784 0.02309283 0.0016084559 0.0034466912 0.00201057 0.006519991 0.0014648438 0.00037339155 0.0015222887 0.0060317097 0.00028722428 0.00020105699 0.0006606158 0.0048253676 0.001752068 0.0020392924 0.0029871324 0.06652114 0.0170324 0.01987592 0.010167739 0.05279182 0.010971967 0.0047392 0.010857077 0.046760112 0.0017233456 0.0014073988 0.0047392 0.018439798 0.005399816 0.007525276 0.015165441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 23.757143 3326.0 0.0709561 0.00030066146 0.006013229 0.0 0.0021046302 0.005411906 0.0 0.007817198 0.00030066146 0.00030066146 0.0 0.00030066146 0.0012026458 0.0036079374 0.009019843 0.003307276 0.006013229 0.002705953 0.003908599 0.002705953 0.0015033073 0.0006013229 0.0030066145 0.0018039687 0.0021046302 0.0024052917 0.0048105833 0.0012026458 0.005712568 0.0030066145 0.0051112445 0.0006013229 0.00090198434 0.027660854 0.0 0.0048105833 0.02675887 0.0018039687 0.00090198434 0.014131089 0.0072158747 0.016235719 0.0 0.0006013229 0.0045099217 0.0018039687 0.013229104 0.00030066146 0.0144317495 0.00030066146 0.007817198 0.002705953 0.003908599 0.0045099217 0.0024052917 0.0021046302 0.013529765 0.0 0.00030066146 0.0 0.003307276 0.0015033073 0.0018039687 0.029464822 0.00090198434 0.05562237 0.009921828 0.029765485 0.028863499 0.08087793 0.007817198 0.0072158747 0.010823812 0.044197235 0.0 0.0030066145 0.032772098 0.019542994 0.038785327 0.039085988 0.027961515 0.0012026458 0.051413108 0.046602525 0.05532171 0.01864101 0.006614552 0.0012026458 0.0072158747 0.0072158747 0.0 0.0 0.0 0.0006013229 0.0 0.0 5.2885165 1.0 0.0 0.0 2.0 18432.0 36864.0 1.0 1.0 50.0 1.0 1.0 0.0 0.0 0.0 1509686000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 2.0 5.0 2.0 7168.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2077227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.751834 0.0 0.0 0.0 0.0 3.926966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.216529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0659523 0.0 4.11311 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4844.0 0.0 0.0 0.0 0.0 528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6721.0 0.0 2728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 17056.0 120.0 15560.0 2728.0 28672.0 528.0 24576.0 0.0 0.0 92.0 32768.0 28.0 12768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.1321573 0.01130896 0.0041407496 0.0022063223 0.004914365 0.0020863458 0.0029144958 0.0018939158 0.004647144 0.025718613 0.0029955187 0.0011203006 0.0011795099 0.00095124275 0.0021284155 0.019560076 0.001896253 0.0022398222 0.0013711607 0.0012083354 0.0010852426 0.0013080562 0.0010049985 0.00081490574 0.019351285 0.0009333242 0.00082970806 0.0007868593 0.000987859 0.00053911546 0.000567941 0.0006076735 0.0026854496 0.00063961535 0.0006326037 0.0006209177 0.0006567548 0.00054768525 0.00051730155 0.00050561555 0.0012815678 0.00060222 0.0012169052 0.00072531286 0.0016111139 0.0012667655 0.0030500535 0.0033445416 0.0034247856 0.0012893586 0.0013898584 0.0010571961 0.0008484057 0.0011857424 0.021690829 0.001248068 0.0008982661 0.00091151026 0.0005523596 0.00038797618 0.00036849946 0.001181068 0.00072765007 0.00038875523 0.0006201386 0.002928519 0.0021868455 0.0030469373 0.004904237 0.00659949 0.001316626 0.0013477887 0.0018752181 0.0057510845 0.0004393947 0.0009722776 0.003374925 0.0034886692 0.0035525528 0.003532297 0.0029378678 0.0008086732 0.0028880073 0.004905795 0.0064164093 0.0018253578 0.0041602263 0.0014241374 0.000749464 0.00076582446 0.00045809234 0.00033188323 0.00037395293 0.000352139 0.0003373367 0.004965783 0.0004440691 0.0038330175 0.0014062189 0.0019811715 0.001941439 0.0071121175 0.0011421146 0.0016368232 0.0010953705 0.0038735291 0.00041056916 0.0010930332 0.0030562861 0.0018985902 0.004030901 0.0053264922 0.026630903 0.0005983247 0.004781144 0.0034450414 0.0053506433 0.0023707058 0.0006996036 0.0014062189 0.00073154544 0.0017497881 0.00050483644 0.0009629288 0.00032642976 0.0006551967 0.00044562726 0.00031162743 0.0039880523 0.00068558037 0.00049938296 0.0005180806 0.00042615054 0.00040122034 0.00069882453 0.0004612086 0.0005126271 0.00043082493 0.00040823195 0.0003201972 0.0004214761 0.0005289876 0.00035837156 0.0004043366 0.00040122034 0.00070895243 0.0004222552 0.0005741736 0.0004113482 0.00047289464 0.0004417319 0.00037317385 0.00044095283 0.0005531387 0.025034592 0.0006349409 0.00049782486 0.00031084838 0.00027423215 0.00029994143 0.00035759248 0.00032331346 0.0003077321 0.00033422044 0.00033110415 0.0003622669 0.00025631356 0.0002531973 0.0003077321 0.00028591818 0.00024774382 0.00032565068 0.0003498018 0.0003100693 0.00030383674 0.00025163917 0.0003077321 0.0003474646 0.00029448792 0.0003053949 0.0005118481 0.00026955773 0.0002851391 0.0003053949 0.00039031336 0.00029059258 0.0003692785 0.0004791272 0.0004019994 0.00033655763 0.00031084838 0.00030851117 0.000522755 0.00041290637 0.00039031336 0.004429005 0.000533662 0.00032642976 0.00089982426 0.00038096454 0.00044952257 0.00042303425 0.00044017375 0.00038096454 0.000431604 0.0004019994 0.0004043366 0.00047756906 0.004721935 0.0005508015 0.00039654592 0.0004612086 0.0004915923 0.0004814644 0.00043861562 0.00059131306 0.0046611675 0.00050483644 0.00037161572 0.0004191389 0.0020084388 0.00033110415 0.0004214761 0.00041991798 0.00053522014 0.00058741774 0.00045965047 0.00054768525 0.0005765108 0.0006520804 0.0005430108 0.0005858596 0.0063572 0.00070583617 0.00071752217 0.0005858596 0.0007502431 0.0066470136 0.00078140583 0.0007588128 0.006618967 0.0007105106 0.00069337105 0.0021673688 0.0006279293 0.00062715024 0.00061702234 0.0006255921 0.0006544176 0.00058196427 0.0005079527 0.00053132477 0.00065363856 0.0005804061 0.00094345206 0.3953524 0.016690092 5.070013e-06 0.0 2.730007e-06 0.0 0.0 0.0 4.290011e-06 1.5990041e-05 0.0 0.0 0.0 8.190021e-06 0.0 5.850015e-06 4.0950104e-05 0.00049647124 1.560004e-06 5.850015e-06 1.170003e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.80002e-07 4.290011e-06 0.005080933 0.0083951615 2.8470073e-05 1.8330047e-05 1.2090031e-05 3.510009e-06 1.2870033e-05 1.4430037e-05 1.6380041e-05 4.3680113e-05 1.4820038e-05 1.2870033e-05 1.560004e-05 1.9110048e-05 2.691007e-05 5.5770142e-05 0.03204482 0.006576587 0.000390781 5.382014e-05 0.0003034208 1.5990041e-05 1.170003e-06 4.290011e-06 2.0280051e-05 9.321024e-05 5.2260133e-05 2.1450054e-05 1.0140026e-05 2.1450054e-05 2.8470073e-05 3.159008e-05 0.027518861 0.006238066 0.0017097644 0.00010101026 0.0017319944 0.020051122 0.011155979 6.201016e-05 4.3680113e-05 7.0590184e-05 5.6160145e-05 6.474017e-05 4.8360125e-05 4.9140126e-05 4.7190122e-05 6.3570165e-05 0.02719672 0.0064646564 0.0028282872 0.00018213046 0.0026578568 0.0122171715 0.007395589 0.00034905088 0.00026169067 0.00019266049 0.00014898038 0.00014040036 0.00013104033 8.229021e-05 0.0007215018 7.332019e-05 0.03164858 0.021648565 0.006318796 0.0010783528 0.0057275547 0.0020272252 0.001538164 0.0009313224 0.0038313698 0.00080574205 0.0040388503 0.00051324134 0.0005101213 0.00043992113 0.0004360211 0.0070714983 0.10282766 0.0229539 0.0029721977 0.0010662627 0.003126248 0.0028618274 0.0020720754 0.01157562 0.012887583 0.0004695612 0.0071553485 0.00025155063 0.00029640077 0.0005054413 0.00059748156 0.0017553945 0.057248637 0.04316531 0.005786055 0.003104798 0.0052572135 0.0025974067 0.0021504655 0.0072746887 0.010849047 0.0012273331 0.0061499258 0.0005323514 0.0006392116 0.0021286255 0.0035743592 0.005784495 0.05073718 0.040574536 0.008780482 0.0028165872 0.0071760183 0.0012815433 0.0014753737 0.0040872106 0.012730412 0.0021411055 0.010870888 0.0008291421 0.0010483227 0.004327061 0.007128828 0.0036652293 0.064389944 0.017167455 0.0024663664 0.0028438873 0.0035462792 0.0015073539 0.0018852649 0.007483339 0.0048219725 0.0011286628 0.0012304531 0.00043992113 0.00046137118 0.0012659433 0.002316606 0.00069810177 0.008245011 0.013354024 0.0020365852 0.0033859888 0.0025030265 0.0014519737 0.0018653747 0.0030821778 0.001953905 0.001164933 0.00075855193 0.0005939715 0.0006165916 0.0008244621 0.0007347619 0.0008934923 0.002320116 0.010782357 0.0013954235 0.0036344193 0.0038727098 0.00080535206 0.003088808 0.0021418855 0.0015167139 0.0029604975 0.0006672917 0.0007246219 0.0008763322 0.00083499216 0.00091455237 0.00087555224 0.0016497042 0.0029175975 0.000381031 0.0008763322 0.00091065234 0.00047151122 0.0005452214 0.0018505547 0.0011154029 0.0003034208 0.00038064097 0.00045942116 0.00048126123 0.00045240115 0.0004360211 0.00049101125 0.0015057939 0.0016512643 0.0003459309 0.0005440514 0.0005541914 0.0005272814 0.00041925107 0.0011068229 0.0007000518 0.00032175082 0.0002328306 0.00022932059 0.00025389064 0.00024336063 0.00021489055 0.0002328306 0.00040950105 0.0002675407 0.00011388029 0.00015132039 0.00017472045 0.0001563904 0.00012831033 0.00025428066 0.00019890051 0.00013182034 0.00012948034 9.828025e-05 0.00012987033 0.00011427029 0.00011310029 0.00011271029 0.00012129031 6773.0 21.97549 148840.0 0.009123892 0.00014780973 0.00038296156 0.0002217146 0.00069201825 9.4060735e-05 0.00020155872 0.00016124698 0.00013437249 0.00011421661 0.00041655469 0.00013437249 0.0077129803 0.0016057511 0.017649826 0.00017468423 0.014807847 0.004985219 0.005596614 0.0044880407 0.0019282451 0.00493147 0.007840634 0.0035608707 0.0014579414 0.002378393 0.00026202633 0.00012765385 0.00030905672 0.0069739316 0.00029561945 8.062349e-05 0.00014780973 0.020626176 0.01225477 0.021681 0.03818866 0.053829614 0.008586401 0.008378124 0.013047568 0.044651974 0.0014713786 0.0045686644 0.025013437 0.026975276 0.026928246 0.027754636 0.02109648 0.001733405 0.021741467 0.035964794 0.049785003 0.010077936 0.009439667 0.009312013 0.0031510347 0.002895727 0.0009338887 0.00012765385 0.00018812147 0.00011421661 0.00013437249 0.038376782 0.00017468423 0.021674281 0.0075114216 0.010568395 0.0113276 0.048320346 0.0060669174 0.00913061 0.0048575653 0.02407283 0.00045686643 0.0043872613 0.017696856 0.012530234 0.026504971 0.025853265 0.006832841 0.00022843321 0.027492609 0.02152647 0.033566244 0.014935501 0.0032249396 0.008626713 0.0018274657 0.0096681 0.0014982532 0.00078607904 6.718624e-05 0.00019484009 0.00010749798 0.00011421661 5.5817103 0.0 2.0 0.0 2.0 1283584.0 1310720.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1534576000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 1010176.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1010176.0 0.0 272384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9696183 0.0 2.8408682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1010072.0 0.0 272160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1018176.0 272160.0 1024000.0 0.0 0.0 0.0 0.0 12.0 1302528.0 28.0 1017864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.24935402 0.0026839147 0.0030478826 0.001433644 0.0024032984 0.0012224871 0.0013336223 0.016884213 0.002378293 0.0011085735 0.0011474708 0.0011835898 0.0016503576 0.0014697629 0.0009918816 0.0016475793 0.00416757 0.001339179 0.0011919249 0.016692506 0.0014364223 0.0014280872 0.0013086168 0.0012863898 0.0012558276 0.0013308439 0.0010696762 0.0013447359 0.0014475358 0.0012224871 0.0010002167 0.0011947033 0.0018392873 0.002122682 0.017642712 0.0017448225 0.0037869315 0.0020309957 0.0018504009 0.0016253522 0.017670495 0.0017031468 0.0017809414 0.00169759 0.0015920117 0.0016948116 0.0016670278 0.0014975467 0.0030451042 0.0024088554 0.00240052 0.002772823 0.0022421526 0.002378293 0.002239374 0.002217147 0.00258945 0.0026422392 0.0023060553 0.0023004985 0.002342174 0.0021782496 0.002150466 0.002561666 0.018790182 0.002436639 0.0021060118 0.0020671145 0.0030812232 0.0025950067 0.0020948984 0.0021087902 0.002025439 0.0021782496 0.017842755 0.0020893416 0.01795389 0.017889988 0.0026144553 0.0024699797 0.0037285856 0.0031284557 0.0026589094 0.002808942 0.00289785 0.0025700012 0.002817277 0.0028061636 0.0028589529 0.0026394608 0.002428304 0.0025005417 0.0027283689 0.0025700012 0.0027116986 0.0030451042 0.0027561528 0.0032896015 0.002561666 0.002889515 0.018595695 0.0034868666 0.0027894932 0.0024227472 0.0027228121 0.0028339473 0.002714477 0.0023755147 0.0027283689 0.0025394391 0.018140042 0.0025644444 0.0024116337 0.0020171036 0.0026894717 0.0024977634 0.0033757314 0.0031145636 0.001997655 0.0019365307 0.0020448875 0.0022699363 0.0019226387 0.0018448442 0.001961536 0.001953201 0.0019198604 0.0015642279 0.001733709 0.0017420441 0.0015364441 0.0026811364 0.0015864548 0.0021171253 0.0014114169 0.0016086819 0.0017364874 0.0021893634 0.0017364874 0.004259256 0.0017170387 0.0022977202 0.0016586927 0.0014086385 0.0016309089 0.0016670278 0.0017670495 0.0016059035 0.0012919466 0.0012030384 0.0013891899 0.0016448008 0.001617017 0.0012697196 0.0014892116 0.017139824 0.0014503142 0.0017864982 0.0012975034 0.0012891683 0.0011808114 0.0013225088 0.001133579 0.0013113952 0.0011696978 0.00099466 0.00095576263 0.0010557843 0.016703619 0.0011947033 0.00094187073 0.0010557843 0.0012419358 0.0010835681 0.0012030384 0.0011613627 0.001119687 0.00090019504 0.0012085952 0.001141914 0.016784193 0.0013002817 0.0011752546 0.0010502276 0.001478098 0.0012724979 0.0010919032 0.0011808114 0.0011724762 0.0011030168 0.0011391357 0.0011835898 0.001617017 0.0014725412 0.001514217 0.0012669412 0.0014280872 0.016609155 0.0014392007 0.0013252872 0.0012558276 0.0012752763 0.00099466 0.0011030168 0.0035202072 0.0010530059 0.0011780331 0.001075233 0.001236379 0.0010668979 0.0010085518 0.00095298426 0.0011280222 0.016567478 0.016834203 0.0011835898 0.0010363356 0.0009974383 0.00120026 0.0012113736 0.016795306 0.0011724762 0.0009974383 0.0011446924 0.0013308439 0.0010585627 0.0010391141 0.0010891248 0.0010946817 0.0011446924 0.0008918599 0.0011752546 0.001675363 0.0013947466 0.0010002167 0.0012863898 0.0012919466 0.00095298426 0.0011308006 0.016656386 0.0014114169 0.0010919032 0.001155806 0.0012252654 0.0011696978 0.0010807897 0.0011280222 0.0010891248 0.0013641844 0.016759187 0.0015197737 0.0010641194 0.0011169086 0.0010335572 0.0014308656 0.0049594077 0.0055970983 0.0 7.2544644e-05 1.1160714e-05 1.1160714e-05 6.9754465e-06 8.370535e-06 6.9754465e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005424107 5.580357e-06 9.207589e-05 2.9296874e-05 1.8136161e-05 3.0691965e-05 3.0691965e-05 8.370535e-06 1.2555804e-05 1.3950893e-06 1.8136161e-05 5.580357e-06 2.092634e-05 1.1160714e-05 1.3950893e-06 4.1852677e-06 0.007880859 4.8828126e-05 0.0002608817 4.8828126e-05 2.7901786e-05 6.277902e-05 3.766741e-05 0.0001548549 0.0 0.0 0.0 1.1160714e-05 1.1160714e-05 1.1160714e-05 1.1160714e-05 4.1852677e-06 0.014787947 4.4642857e-05 0.0006891741 0.00037527902 0.00017996652 0.00021344866 0.0003766741 0.00022879464 2.2321428e-05 2.092634e-05 9.765625e-06 5.580357e-06 3.4877234e-05 4.4642857e-05 2.7901786e-05 8.0915175e-05 0.02056501 0.00016322544 0.0009863281 0.00048409597 0.0005217634 0.0011746652 0.00082728796 0.00056780135 1.1160714e-05 0.00023158483 3.0691965e-05 2.6506696e-05 3.0691965e-05 3.348214e-05 3.0691965e-05 2.9296874e-05 0.09354353 0.0 0.0037416294 0.007779018 0.007140067 0.006965681 0.0060574776 0.003344029 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05135463 5.301339e-05 0.0019740514 0.004143415 0.0048814174 0.003984375 0.005753348 0.0019642857 2.6506696e-05 4.324777e-05 3.0691965e-05 3.0691965e-05 2.092634e-05 5.580357e-06 9.765625e-06 9.765625e-06 0.020100446 0.00040736608 0.00094587053 0.002032645 0.0020061384 0.0027204242 0.0011202567 0.001047712 5.719866e-05 0.0003892299 4.324777e-05 4.0457588e-05 3.348214e-05 3.4877234e-05 4.6037945e-05 0.0004031808 0.0051157926 0.00022879464 0.00018694196 0.0008217076 0.00028041293 0.00043526787 0.00060546875 0.00029157367 7.8125e-05 6.696428e-05 5.998884e-05 7.533482e-05 7.8125e-05 7.2544644e-05 6.696428e-05 0.000107421874 0.006531808 0.0004185268 0.00038783482 0.00027064732 0.0004408482 0.00037109375 0.00077566964 0.00064313615 0.0004143415 0.00012555804 6.277902e-05 0.00016322544 0.00010602678 5.0223214e-05 7.8125e-05 0.0005887277 0.003921596 0.00020647321 0.00034737724 0.00061802455 0.0013044085 0.0013030134 0.0019001116 0.00092773436 8.789063e-05 9.0680805e-05 7.8125e-05 0.000107421874 0.00011021205 0.0001171875 0.00010044643 0.0002078683 0.0037151228 0.00052594865 0.000531529 0.0018094308 0.00057756697 0.0005566406 0.0005078125 0.0018317522 0.0022028459 0.0022237722 0.00038783482 0.000453404 0.00056361605 0.0003934152 0.00039481028 0.0004673549 0.005690569 0.0014969308 0.0016824777 0.002469308 0.0022391183 0.0045982143 0.0063337055 0.0044601006 0.005126953 0.0037988282 0.0010965401 0.0011900112 0.0014969308 0.0011690848 0.00117327 0.0016922433 0.02095982 0.013669085 0.025443638 0.0014857701 0.04837472 0.004234096 0.025965402 0.0031361608 0.004482422 0.012437221 0.012180525 0.01250279 0.01546596 0.035513394 0.0127859935 0.0142201455 0.0068554687 0.0022851562 0.0019810267 0.0014118303 0.0027566964 0.0041141184 0.0038351004 0.002938058 0.004497768 0.0021023995 0.00091517856 0.0009863281 0.0023995535 0.0012109375 0.0016322545 0.0029352678 0.017739955 0.019150391 0.022643695 0.015055804 0.02961635 0.014203404 0.021308593 0.013999721 0.014422433 0.018005023 0.018777901 0.018663505 0.017759487 0.025846818 0.017829241 0.017834822 6793.0 8.010894 54418.0 0.002627807 0.004428682 0.08772832 0.0031607188 0.004924841 0.0036017494 0.0031974714 0.0034179867 0.08680951 0.0028483223 0.0033444816 0.0036201256 0.002297034 0.003307729 0.0026094308 0.002352163 0.0056231394 0.0040795323 0.0039876513 0.003932522 0.002903451 0.003932522 0.0036201256 0.0031239663 0.0036936307 0.0044654342 0.0036936307 0.0033812341 0.003969275 0.0036201256 0.0038957698 0.0050718514 0.007920174 0.005255614 0.0036568781 0.0038222647 0.003969275 0.003932522 0.0031607188 0.0031423427 0.0034731156 0.00404278 0.08719541 0.0026094308 0.08815098 0.08980484 0.0045756917 0.0040244036 0.005641516 0.0060825464 0.0042816717 0.0047594546 0.0046491968 0.0041530374 0.0046491968 0.0044838106 0.004630821 0.0050718514 0.004924841 0.00418979 0.004447058 0.003638502 0.0035466207 0.005715021 0.004171414 0.006927855 0.0049615935 0.006817597 0.09245103 0.010511228 0.004869712 0.0043735527 0.0049615935 0.0061744275 0.0042816717 0.0040979087 0.00606417 0.004851336 0.089988604 0.0054945056 0.0043368004 0.0032709765 0.0064868242 0.0055496343 0.007883421 0.004391929 0.0034547392 0.0030872137 0.0036936307 0.003932522 0.0026461834 0.0027380646 0.00295858 0.0027564408 0.0031423427 0.0018008747 5.12467 0.0 0.0 0.0 10.0 359922.0 372736.0 0.0 2.0 82.0 1.0 1.0 0.0 0.0 0.0 1314272600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 74.0 9.0 0.0 5.0 0.0 5.0 0.0 17920.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -209408.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6378446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.097479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5453532 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.104899 0.0 4.5388203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -210109.0 0.0 1484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 167584.0 80.0 164740.0 1484.0 172032.0 0.0 0.0 0.0 0.0 2020.0 176128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 161592.0 0.0 0.0 340.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.45942098 0.013025365 0.005009756 0.0037441333 0.005009756 0.0045878817 0.0024785108 0.0018456995 0.0045351475 0.0015292938 0.0011074197 0.0009492169 0.0012128883 0.0025839794 0.000580077 0.015503876 0.0031640562 0.00073827984 0.00031640564 0.00073827984 0.001740231 0.0018984338 0.0006328113 0.00036913992 0.0016874967 0.00021093708 0.00031640564 0.0010019512 0.0009492169 0.0015820281 0.00021093708 0.0050624902 0.01049412 0.000580077 0.00042187417 0.00036913992 0.003322259 0.0030058534 0.0005273427 0.00015820282 0.0046933503 0.0022675737 0.00015820282 0.00079101406 0.001160154 0.0013183568 0.004798819 0.0009492169 0.0051152245 0.0039550704 0.0025312451 0.00079101406 0.0020039023 0.0010019512 0.00079101406 0.00010546854 0.001160154 0.0027949165 0.0016874967 0.00031640564 0.0008964826 0.0018456995 0.00031640564 0.00031640564 0.003480462 0.007013658 0.0020039023 0.0045351475 0.0043242103 0.0026367137 0.0010546854 0.0030058534 0.030585878 0.0037441333 0.00026367136 0.0005273427 0.006960924 0.0024257766 0.0018456995 0.0014238254 0.0025312451 0.00036913992 0.0005273427 0.0025839794 0.0021621052 0.0023730423 0.0027421822 0.00079101406 0.0013710911 0.00031640564 0.001160154 0.0026367137 0.00073827984 0.0013710911 0.002689448 0.0039023361 0.0022675737 0.0058535044 0.0012128883 0.0037968676 0.0037968676 0.008173812 0.005009756 0.0013183568 0.0011074197 0.0055370987 0.00015820282 0.00047460845 0.0043242103 0.0022675737 0.004429679 0.004113273 0.004218742 0.0019511681 0.006644518 0.002900385 0.01049412 0.004482413 0.001160154 0.0012656226 0.0012128883 0.0011074197 0.00026367136 0.00015820282 0.00036913992 0.00021093708 0.00021093708 0.0018456995 0.0037441333 0.0029531193 0.00031640564 0.011548806 0.0041660075 0.006275378 0.00047460845 0.00031640564 0.00068554556 0.013605442 0.00021093708 0.008173812 0.00021093708 0.0047460846 0.00015820282 0.00015820282 0.013025365 0.00031640564 0.0005273427 0.00010546854 0.00042187417 0.00036913992 0.00031640564 5.273427e-05 0.00010546854 0.00031640564 0.00015820282 0.00015820282 0.00010546854 5.273427e-05 5.273427e-05 5.273427e-05 0.0046933503 0.00026367136 0.0014238254 0.0014238254 0.0018984338 0.0010019512 0.00026367136 0.0 5.273427e-05 0.00015820282 0.00026367136 0.00021093708 0.00010546854 0.0 0.0 0.0013183568 0.00084374833 0.00015820282 0.00021093708 0.00021093708 0.00015820282 0.00031640564 0.00079101406 0.0005273427 0.0029531193 0.0021621052 0.0009492169 0.00015820282 0.00015820282 0.00021093708 0.00084374833 0.000580077 0.008701155 0.002900385 0.0013183568 0.005009756 0.0032167905 0.00036913992 0.001160154 0.0015292938 0.00036913992 0.00073827984 0.00031640564 0.00047460845 0.000580077 0.00047460845 0.00047460845 0.00021093708 0.0017929652 0.000580077 0.0027421822 0.001160154 0.00021093708 0.00031640564 0.0005273427 0.00042187417 0.0013183568 0.0022675737 0.0013710911 0.001160154 0.00015820282 0.00021093708 0.00036913992 0.00047460845 0.0018984338 0.00026367136 0.00015820282 0.00036913992 0.00021093708 0.00026367136 0.00042187417 0.00026367136 0.006275378 0.0030058534 0.00042187417 0.0015292938 0.0018984338 0.000580077 0.00031640564 0.00042187417 0.0008964826 0.0012128883 0.0005273427 0.0014238254 0.00036913992 0.00026367136 0.0009492169 0.00036913992 0.0026367137 0.00036913992 0.0013183568 0.002689448 0.0011074197 0.000580077 0.0024257766 0.022623003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052935433 0.00025850185 0.0003159467 0.0008903952 0.00071806065 0.00045955883 0.0019818475 0.0006606158 8.616728e-05 2.8722427e-05 0.00022977941 5.7444853e-05 8.616728e-05 2.8722427e-05 5.7444853e-05 2.8722427e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09449679 0.00057444855 0.0013212316 0.00295841 0.0020392924 0.0016659007 0.006519991 0.0029871324 0.00022977941 0.00037339155 0.0028722426 0.00034466913 0.00048828125 0.00025850185 0.00025850185 0.00025850185 0.039263558 0.0007467831 0.00020105699 0.000114889706 0.0013786765 0.0013212316 0.008444393 0.0044806986 8.616728e-05 8.616728e-05 0.001953125 0.00014361214 0.00020105699 8.616728e-05 0.00014361214 0.00017233456 0.04110179 0.0016371784 0.004107307 0.0030445773 0.002757353 0.0010914522 0.00094784005 0.0020680148 0.00037339155 0.00025850185 0.00020105699 0.00020105699 0.0003159467 0.00028722428 0.00025850185 0.00017233456 0.06956571 0.0010627297 0.004365809 0.0016084559 0.003102022 0.002556296 0.01634306 0.008903952 0.0005457261 0.0017807904 0.004365809 0.00037339155 0.00045955883 0.00034466913 0.00040211398 0.0018669578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.058708638 0.0032456343 0.008990119 0.00402114 0.008674173 0.0028722426 0.008932674 0.0061753215 0.0048828125 0.0006318934 0.001005285 0.0010914522 0.002096737 0.00091911765 0.0027286306 0.0026711856 0.029124541 0.0011776194 0.0026137407 0.001005285 0.0037339155 0.0022403493 0.00071806065 0.0021254595 0.0035903032 0.00390625 0.000114889706 0.0004308364 0.0022116269 0.0009765625 0.0013212316 0.0035328586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09854665 0.010914522 0.011747472 0.01160386 0.05170037 0.013930377 0.0074391086 0.009392234 0.046070773 0.00697955 0.0024126838 0.008157169 0.02024931 0.011862362 0.012120864 0.029813878 0.014045266 0.0023265164 0.0024701287 0.001752068 0.0067784926 0.003762638 0.0012063419 0.0026711856 0.006807215 0.0034179688 5.7444853e-05 0.0010914522 0.003848805 0.0015222887 0.0024701287 0.0045955884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122.0 14.409836 1758.0 0.06427759 0.0005688282 0.0 0.0 0.0011376564 0.0034129692 0.0 0.0 0.017064847 0.012514221 0.0 0.0 0.0005688282 0.0011376564 0.036405005 0.0 0.0068259384 0.0011376564 0.014220705 0.0034129692 0.012514221 0.0 0.0017064846 0.0 0.0005688282 0.011945393 0.012514221 0.0005688282 0.0022753128 0.0034129692 0.0 0.0 0.0034129692 0.018202502 0.0 0.03185438 0.0017064846 0.0039817975 0.0034129692 0.029010238 0.010807736 0.0022753128 0.0 0.0005688282 0.005688282 0.0005688282 0.013651877 0.0005688282 0.005688282 0.0017064846 0.002844141 0.00967008 0.007963595 0.021615472 0.00967008 0.0045506256 0.0005688282 0.0 0.0 0.007394767 0.005119454 0.010238908 0.007963595 0.026734926 0.0005688282 0.033560865 0.0068259384 0.02844141 0.025597269 0.06825939 0.005688282 0.009101251 0.0062571103 0.044937428 0.0 0.0039817975 0.03811149 0.013083049 0.039817974 0.033560865 0.012514221 0.0 0.045506258 0.022753129 0.05688282 0.020477816 0.0068259384 0.005688282 0.007394767 0.007394767 0.0011376564 0.0 0.0 0.0 0.0 0.0 5.412511 0.0 0.0 0.0 9.0 18963.0 65536.0 0.0 3.0 39.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 5.0 2.0 8704.0 1024.0 4096.0 13.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 -512.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -8704.0 -2048.0 1024.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -0.9856294 0.0 0.0 -3.5006917 0.0 0.0 -0.8452005 0.0 0.0 0.0 0.0 0.0 3.8838673 0.0 0.0 -3.8177893 0.0 3.909658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1119397 0.0 0.0 0.0 0.0 0.0 4.1089115 0.0 0.0 -6.128154 -4.049527 3.320098 0.0 0.0 0.0 -4.127987 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 -92.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 1504.0 0.0 0.0 -444.0 0.0 552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2480.0 0.0 0.0 -80.0 0.0 0.0 0.0 0.0 0.0 170.0 0.0 0.0 -8416.0 -1552.0 952.0 0.0 0.0 0.0 -36.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 36864.0 1552.0 40960.0 952.0 53248.0 552.0 24576.0 0.0 0.0 92.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 49184.0 0.0 0.0 0.0 0.0 328.0 41348.0 0.0 0.0 0.0 0.0


Input: 0.16711365 0.010084813 0.0067101154 0.0044460315 0.015066512 0.0026890456 0.003092581 0.0029854476 0.0100312475 0.0072207837 0.0066565485 0.006463709 0.01171324 0.004721007 0.0011034729 0.0037710918 0.011099009 0.0012606017 0.0016962771 0.00076064636 0.007002946 0.0065387017 0.00076421746 0.00058209087 0.007002946 0.0004463887 0.0005463798 0.0013784483 0.0048388536 0.0018391215 0.0013605928 0.0022390857 0.0073422017 0.0010463351 0.0011963218 0.0011356128 0.056609232 0.0024533523 0.0005892331 0.0010570484 0.0037389519 0.00039996428 0.0005999464 0.0016355682 0.0030997233 0.0009534863 0.0007463619 0.0006249442 0.0032104277 0.00048567093 0.00324971 0.0037603786 0.003060441 0.00061780197 0.00039639318 0.0003678243 0.0026140523 0.0006070887 0.00043567538 0.00289617 0.0028854567 0.0012141773 0.0005142398 0.0005249531 0.0033782697 0.0014855816 0.000782073 0.00075707526 0.020487456 0.002017677 0.0026569057 0.00076064636 0.0026176234 0.00058209087 0.00048567093 0.00064637087 0.018294794 0.0037675207 0.00289617 0.009384876 0.017266316 0.009934828 0.01113472 0.007349344 0.0067279707 0.0029033122 0.0068279617 0.004171056 0.0018819749 0.0006106598 0.00039996428 0.0018034104 0.0033675565 0.001724846 0.0045317383 0.0025569145 0.0013463084 0.00027140434 0.00019641104 0.00030354434 0.008856352 0.00042853315 0.000782073 0.0002535488 0.013016695 0.00036425318 0.013416659 0.000521382 0.002049817 0.00058209087 0.00047138648 0.0003678243 0.0014570127 0.00039639318 0.00039996428 0.00035353986 0.0079635745 0.0031961433 0.00064994197 0.00034996876 0.0015855727 0.0004463887 0.00058566197 0.00039996428 0.0029033122 0.0009963396 0.0009606285 0.0005320953 0.0016641371 0.001953397 0.0003213999 0.010834747 0.006449424 0.0061673066 0.0021569503 0.00039282208 0.002764039 0.015884297 0.0012498884 0.045903046 0.0019248282 0.026822604 0.003710383 0.00046781538 0.04154272 0.00039639318 0.00034639763 0.00044995983 0.0011891795 0.00068208197 0.00090349076 0.00035353986 0.0007427908 0.00039639318 0.00027140434 0.00026783324 0.0013605928 0.00029283098 0.001074904 0.0002214088 0.00079278636 0.0037568074 0.0002856888 0.00036068208 0.0012213195 0.00067851087 0.00024640656 0.00027854656 0.0008177841 0.00024283546 0.0004999554 0.00078564417 0.00087135076 0.000260691 0.000521382 0.00042853315 0.00094277295 0.00027497543 0.0002856888 0.00048567093 0.001074904 0.00031782876 0.00023569324 0.00031425766 0.0016034283 0.0012141773 0.00032854208 0.00038210873 0.0008892063 0.00038210873 0.00094277295 0.00041781983 0.0070136595 0.0019641104 0.0046674404 0.0036103919 0.007195786 0.0006035175 0.011363271 0.0074350503 0.0022319437 0.00089991966 0.0006642264 0.0010927595 0.002314079 0.0011106151 0.0029354522 0.0020641014 0.00093205966 0.00082492636 0.0005606642 0.00083206856 0.0006713686 0.00078564417 0.00087492185 0.0018748326 0.0013820195 0.0005285242 0.00027854656 0.0008856352 0.00062137307 0.0002571199 0.000260691 0.0002856888 0.00086063746 0.00072850636 0.0003321132 0.00023569324 0.0007392197 0.0002964021 0.0002571199 0.00024640656 0.028283188 0.0017962682 0.0002999732 0.0018319793 0.002610481 0.0005035265 0.0002964021 0.0002571199 0.0015284349 0.0028176056 0.00035353986 0.0017998393 0.0006749397 0.0002999732 0.0014284439 0.00069279526 0.0027747522 0.00068565307 0.00069279526 0.0005392376 0.0018462638 0.00082849746 0.0010534774 0.028193912 0.007352941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003184599 0.00014720243 3.9493338e-05 1.2566062e-05 5.2059397e-05 2.3336972e-05 6.642061e-05 3.7698184e-05 3.5903033e-06 5.385455e-06 5.385455e-06 1.077091e-05 1.2566062e-05 6.462546e-05 3.5903033e-06 7.1806066e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002389347 8.796243e-05 0.00013284122 5.0264247e-05 0.00012027516 9.514304e-05 6.283031e-05 3.5903035e-05 0.00026209213 9.514304e-05 1.2566062e-05 3.5903033e-06 0.00010411879 4.8469094e-05 7.180607e-05 0.00010411879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035005456 0.00034646428 0.00049905217 0.00018131032 0.00064086914 0.0008634679 0.00040031882 0.00030517578 0.0016210219 0.0010214413 0.000100528494 8.796243e-05 0.0007001092 0.00014720243 0.0002962 0.00031774185 0.1702073 0.03192857 0.054755718 0.0164023 0.04511934 0.05186552 0.02781767 0.014711268 0.085623346 0.031892665 0.0076652975 0.00627226 0.037078857 0.0072954963 0.025979435 0.028767304 0.07640524 0.016757742 0.027864344 0.010156968 0.025209315 0.030379351 0.014878217 0.008106905 0.04144287 0.017599666 0.0042814366 0.0037321204 0.019369686 0.004285027 0.01330746 0.017106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 920.0 5.7141304 5257.0 0.03500095 0.0011413353 0.00038044513 0.007799125 0.13277535 0.0032337834 0.00038044513 0.003424006 0.019592924 0.0 0.0005706677 0.0024728933 0.012554689 0.0005706677 0.0013315579 0.0 0.011032908 0.00038044513 0.009130683 0.0049457867 0.009130683 0.001712003 0.00019022256 0.001712003 0.009891573 0.001712003 0.0011413353 0.0019022257 0.00741868 0.00038044513 0.0015217805 0.0043751188 0.0070382347 0.00095111283 0.0024728933 0.0015217805 0.03861518 0.0005706677 0.0051360093 0.00095111283 0.0062773447 0.0015217805 0.0019022257 0.0 0.04850675 0.0005706677 0.0036142287 0.0038044513 0.06258322 0.043751188 0.076089025 0.043941412 0.03195739 0.017500475 0.020353815 0.018832034 0.003994674 0.0022826707 0.00076089025 0.014266692 0.0053262315 0.018071143 0.027582271 0.021495149 0.003994674 0.0011413353 0.00038044513 0.00095111283 0.038044512 0.00076089025 0.00038044513 0.00019022256 0.065056115 0.00076089025 0.028152939 0.00038044513 0.004184896 0.00038044513 0.0011413353 0.00076089025 0.0062773447 0.0 0.0011413353 0.00038044513 0.0066577895 0.0028533384 0.0 0.00019022256 0.002092448 0.00038044513 0.0 0.00019022256 0.011223131 0.0005706677 0.00076089025 0.0005706677 5.036576 0.0 0.0 0.0 1.0 280025.0 2150400.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1446531500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 983040.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -983040.0 0.0 884736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.209193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -982531.0 0.0 882136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1992.0 1185744.0 480.0 1166944.0 882136.0 1265664.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 991600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4452.0 987136.0 0.0 0.0 0.0 0.0


Input: 0.38557023 0.02071221 0.0013821117 0.0014469996 0.0027642234 0.0008046096 0.0007267442 0.0016351744 0.0018687708 0.0009927845 0.00055803574 0.00075918814 0.0014989099 0.0012069144 0.00079163205 0.008792307 0.010518325 0.0008630087 0.0002011524 0.0011160715 0.00046070392 0.0013950893 0.00039581602 0.00024008514 0.00033092816 0.00018817483 0.00023359635 0.00049963663 0.0007072778 0.0004023048 0.00038283845 0.00085003115 0.0026798693 0.00016870847 0.00020764119 0.00038932724 0.00028550666 0.0012004257 0.0010901163 0.00030497301 0.0003114618 0.0002011524 0.00012328695 0.00079812086 0.00037634966 0.0004087936 0.0005645245 0.0003179506 0.0009668293 0.0013172239 0.0006748339 0.0011160715 0.0006748339 0.00033741695 0.00045421513 0.0006748339 0.0006034572 0.0005645245 0.0003568833 0.00084354234 0.0006683451 0.00083056476 0.0004736815 0.0013237126 0.0022840532 0.0039841156 0.1126129 0.0004931478 0.00057750207 0.00262147 0.00029199544 0.0004736815 0.00037634966 0.00027901787 0.00014924211 0.00036986088 0.0011809593 0.0021283221 0.00038283845 0.00018817483 0.0019466362 0.00043474874 0.00042825995 0.0005710133 0.0004931478 0.0013821117 0.000733233 0.00095385173 0.00083056476 0.00079163205 0.00018817483 0.0005255918 0.00030497301 0.00096034055 0.0007072778 0.0012328696 0.000824076 0.0016092192 0.0019401474 0.0012004257 0.0018882371 0.0024203176 0.0009278966 0.00044123753 0.0012782911 0.0015053987 0.001310735 0.0003633721 0.0014924211 0.0008175872 0.0017195287 0.0022061877 0.0008565199 0.00022061876 0.0017973941 0.0018363268 0.0025436047 0.0016611295 0.0006943002 0.0008759863 0.00054505817 0.0005126142 0.00084354234 0.0007786545 0.0002465739 0.0005515469 0.00029848423 0.00044772634 0.0013366902 0.0006748339 0.00075918814 0.0020893896 0.0005515469 0.0013042463 0.0010382059 0.00016221969 0.00038932724 0.002102367 0.0007267442 0.0046524606 0.0002465739 0.0009668293 0.00034390573 0.0005710133 0.00024008514 0.00030497301 0.00025955148 0.00017519726 0.00016870847 0.00018168605 0.00032443937 0.00020764119 0.001343179 7.786545e-05 0.00011030938 0.00044123753 0.0011160715 0.0002011524 0.00012977574 0.0004671927 0.000824076 0.00062941236 0.00029848423 0.00046070392 0.00043474874 5.1910298e-05 5.1910298e-05 0.0010317172 0.0005839909 8.435424e-05 0.0002011524 0.00022061876 0.00053208054 0.00013626454 0.0002530627 0.0006683451 0.001005762 0.0012718023 0.00017519726 0.0007656769 0.00025955148 0.0006034572 0.00059696846 0.0006553675 0.00060994603 0.00079163205 0.00039581602 0.000914919 0.00038283845 0.00064238993 0.0009798069 0.0007267442 0.0018622819 0.0006943002 0.0002465739 0.0011550041 0.0018622819 0.0011939369 0.00029199544 0.0010511836 0.00037634966 0.00094087416 0.0002530627 0.00014924211 0.06136446 0.0005839909 0.00033092816 0.00038283845 0.00070078904 0.00023359635 0.00012328695 0.00027901787 0.0013237126 0.00013626454 0.00035039452 0.00029199544 0.0007721657 0.0004023048 0.00046070392 0.00043474874 0.0006683451 0.00064887875 0.0002465739 0.00051910296 0.0022970308 0.00033741695 0.00028550666 0.00033741695 0.00045421513 0.00055803574 0.00055803574 0.00032443937 0.002225654 0.0017260174 0.00019466362 0.0016805959 0.0017260174 0.00053856935 0.0004736815 0.015852107 0.015865086 0.015404381 0.00028550666 0.0003568833 0.0011030938 0.00036986088 0.074523725 0.00028550666 0.0027252906 0.00033092816 0.00034390573 0.0004023048 0.0018233493 0.0006683451 0.00070078904 0.08486685 0.12731032 3.2770554e-06 2.6216443e-05 6.5541108e-06 3.6047608e-05 0.0 0.0 0.0 0.0 0.0 3.2770554e-06 3.2770554e-06 0.013429373 9.831166e-06 0.0 0.00011141988 0.012796901 5.2432886e-05 2.6216443e-05 1.9662331e-05 4.260172e-05 6.226405e-05 9.831166e-05 7.8649326e-05 0.0001245281 1.31082215e-05 1.9662331e-05 1.6385276e-05 1.31082215e-05 1.9662331e-05 2.6216443e-05 1.31082215e-05 0.029087143 0.0034212458 1.6385276e-05 0.0 2.9493498e-05 9.831166e-06 9.831166e-06 9.831166e-06 1.9662331e-05 0.0 0.0 9.831166e-06 0.00068162754 3.2770554e-06 0.0001835151 7.537227e-05 0.03702417 0.003486787 8.192639e-05 5.2432886e-05 0.00022283976 0.0001245281 0.0001245281 0.00010486577 0.00011797399 6.881816e-05 8.84805e-05 0.0003965237 0.004135644 7.537227e-05 0.00019006922 0.0006849046 0.016699875 0.002123532 5.2432886e-05 8.192639e-05 0.00023267094 0.00017368393 0.00013435927 7.8649326e-05 0.00029821205 6.881816e-05 8.520344e-05 0.00014091338 0.0058200504 6.226405e-05 0.00015729865 0.00063574873 0.031040268 0.0007471686 0.0005800388 0.0011568005 0.0048828125 0.00042601718 0.0026445836 0.0014615667 0.0001540216 9.175755e-05 0.00012125105 0.00021956272 0.00022283976 0.00012125105 0.00015729865 0.009664036 0.03564781 0.00013763632 0.00042929425 0.000530883 0.038387425 0.00019662332 0.0010158871 0.00059970113 0.000176961 0.00015729865 6.226405e-05 0.00079632446 9.831166e-05 0.00013763632 0.0039914534 0.045151267 0.059481833 0.000947069 0.00026871855 0.00036375315 0.059465446 0.00050794357 0.0009601772 0.000353922 0.00051122066 0.0006881816 0.0004784501 0.00060625526 0.00061936345 0.00060625526 0.011921927 0.09711881 0.021513868 0.0003375367 0.0014681208 0.0003440908 0.011836724 0.0008028786 0.004433856 0.002126809 0.0007275063 0.0006455799 0.0004325713 0.0006750734 0.0049090288 0.0004194631 0.001772887 0.02137951 0.01705052 0.0008454803 0.0010158871 0.0022906617 0.0033360424 0.0008979132 0.0030083368 0.0018580904 0.0007471686 0.0004850042 0.00034081377 0.00032115143 0.003670302 0.00028510383 0.002015389 0.008812002 0.0025233326 3.9324663e-05 4.260172e-05 6.226405e-05 0.00021956272 0.00048828125 0.0017040687 0.0009372378 4.260172e-05 4.5878776e-05 3.2770553e-05 0.00042274015 3.6047608e-05 2.9493498e-05 5.2432886e-05 3.2770553e-05 0.01155162 0.0008585885 0.0009831166 0.00096673134 0.002189073 0.001248558 0.0012583892 0.0012911598 0.001599203 0.000353922 0.00048172713 0.0012190646 0.009621435 0.00058987 0.0015697095 0.004486289 0.0064230287 0.0009700084 0.0004686189 0.0008618656 0.0032049601 0.0025921508 0.0009011902 0.0011731858 0.005082713 0.00019006922 0.0010126102 0.000652134 0.015136719 0.0009011902 0.0028248217 0.0045846007 0.011715473 0.0015729866 0.0011535235 0.0013337615 0.0030968173 0.0024774538 0.002002281 0.0017532246 0.0048991977 0.0006324717 0.0013468697 0.0019400168 0.011767906 0.0012125105 0.0021530255 0.0046337564 0.007153812 0.0014320732 0.0011568005 0.0012616663 0.0011731858 0.0009405149 0.0011961252 0.0012059563 0.0015074455 0.0008946361 0.0009405149 0.0011699088 0.0012321728 0.0012878828 0.0011731858 0.0031197567 0.0013501468 0.0018646445 0.0016057572 0.0017040687 0.0011666317 0.0015500472 0.0024381292 0.0015434931 0.002015389 0.0013960255 0.0010158871 0.0022185664 0.002005558 0.0018679216 0.001599203 0.0015041684 243.0 16.74074 4068.0 0.058259588 0.0019665684 0.0017207473 0.0004916421 0.0007374631 0.0036873156 0.006637168 0.0046706 0.00024582105 0.0007374631 0.0007374631 0.0004916421 0.006391347 0.0022123894 0.007866274 0.0017207473 0.005899705 0.0027040315 0.005653884 0.006145526 0.0093412 0.0034414947 0.0073746312 0.0029498525 0.0049164207 0.0019665684 0.005653884 0.0036873156 0.010078663 0.005653884 0.0041789575 0.0029498525 0.0014749262 0.0041789575 0.0044247787 0.006145526 0.005899705 0.005899705 0.003933137 0.003933137 0.0017207473 0.005899705 0.0009832842 0.0027040315 0.0029498525 0.0031956735 0.0012291052 0.0014749262 0.005408063 0.0014749262 0.0046706 0.006145526 0.007866274 0.0027040315 0.0017207473 0.007866274 0.0017207473 0.0022123894 0.0017207473 0.007866274 0.0017207473 0.0009832842 0.0024582103 0.027286137 0.0009832842 0.052114062 0.0088495575 0.031710915 0.026302852 0.082841694 0.010078663 0.0105703045 0.012782694 0.048180923 0.0014749262 0.006145526 0.034414947 0.017453294 0.040314652 0.045722716 0.01671583 0.0024582103 0.054572273 0.04252704 0.0607178 0.022615535 0.009095378 0.013765979 0.009095378 0.009587021 0.0041789575 0.0019665684 0.0 0.0007374631 0.00024582105 0.0007374631 5.4878063 1.0 0.0 0.0 4.0 154112.0 241664.0 1.0 0.0 95.0 1.0 1.0 0.0 0.0 0.0 1541565000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 23040.0 1024.0 4096.0 9.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 -3584.0 113664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7263637 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 1.966378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.34430248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.649949 -4.745092 3.1476772 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1804.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 8217.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1936.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 -22732.0 -3456.0 113851.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 111208.0 114140.0 122880.0 0.0 0.0 0.0 0.0 1072.0 237568.0 56.0 99568.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 99624.0 0.0 0.0 616.0 110592.0 0.0 0.0 0.0 0.0