Input: 0.25971764 0.003515625 0.004009046 0.0033442983 0.0026932566 0.0032003839 0.0029536732 0.0027138158 0.0028234648 0.0026932566 0.0024945175 0.0028782894 0.0028645834 0.0035910087 0.0022615131 0.0024739583 0.0024533991 0.002439693 0.0027480812 0.0024533991 0.0023643093 0.0037417763 0.0027823464 0.0026864035 0.0023163378 0.00243284 0.0025082238 0.002439693 0.0026658443 0.0034470942 0.0027001097 0.0024876646 0.003522478 0.0027960527 0.0023094846 0.0030770286 0.002741228 0.0035704495 0.0030770286 0.0032620614 0.0037623355 0.003892544 0.003022204 0.0032826206 0.002446546 0.0024602523 0.0028097588 0.0024739583 0.0024191337 0.0028440242 0.0030701754 0.0034333882 0.002624726 0.0035361843 0.0029605264 0.0026795506 0.0026795506 0.002631579 0.002645285 0.002741228 0.0024533991 0.0042146384 0.0028714363 0.0025150767 0.003029057 0.0028919957 0.008744517 0.0028919957 0.0030153508 0.0043448466 0.0028577303 0.002926261 0.003042763 0.003029057 0.002912555 0.0028645834 0.0031524124 0.0036938048 0.0031866776 0.003042763 0.0039884867 0.0028097588 0.003227796 0.0035498904 0.0030084979 0.0032483554 0.0030496162 0.002837171 0.0025082238 0.0028645834 0.0029605264 0.002631579 0.0026521382 0.0033442983 0.0030084979 0.0033031798 0.0028097588 0.003138706 0.0030084979 0.003125 0.0030907346 0.004516173 0.0028714363 0.0029605264 0.004612116 0.0037417763 0.0028645834 0.0028508771 0.0032963268 0.0029194078 0.0034539474 0.003611568 0.0032415022 0.0028645834 0.0036595394 0.0035841558 0.0040227524 0.0040227524 0.002926261 0.0024671052 0.0026110196 0.0026589911 0.0025630482 0.0025630482 0.0024671052 0.002912555 0.0027823464 0.0025699013 0.0026521382 0.004290022 0.0024876646 0.0026178728 0.0028851426 0.002741228 0.0027001097 0.002645285 0.0026864035 0.0038856908 0.0025013706 0.00477659 0.002528783 0.0026726974 0.0028577303 0.0024191337 0.0026864035 0.0025699013 0.0028029056 0.0025082238 0.00294682 0.0026521382 0.0027891996 0.0027001097 0.0029057018 0.0027823464 0.0027891996 0.0028577303 0.0031318532 0.003234649 0.0030016447 0.0027138158 0.0027069626 0.00321409 0.003029057 0.0030907346 0.0030770286 0.0027617873 0.002645285 0.002528783 0.0026932566 0.0024122808 0.0025973136 0.002741228 0.0027686404 0.0026589911 0.0028029056 0.0026932566 0.0026521382 0.0025836076 0.0026658443 0.0025836076 0.0025219298 0.0024808114 0.00243284 0.0026795506 0.0028645834 0.0024808114 0.0030153508 0.0029057018 0.0027549341 0.0025082238 0.0025904605 0.0026864035 0.0026795506 0.0028919957 0.0027754933 0.0025150767 0.0029810856 0.002240954 0.0024671052 0.002816612 0.0028029056 0.0026658443 0.0026658443 0.0023300438 0.002830318 0.002549342 0.002734375 0.0027138158 0.0027617873 0.0027686404 0.0024808114 0.002535636 0.0027754933 0.002528783 0.002645285 0.0026110196 0.0027138158 0.0025973136 0.0028508771 0.0024876646 0.0027480812 0.0023780153 0.002439693 0.0026726974 0.0028851426 0.0025561952 0.0024671052 0.0025219298 0.0028440242 0.002638432 0.0027001097 0.0023985745 0.0032894737 0.002336897 0.0028097588 0.002446546 0.0028577303 0.002549342 0.0027823464 0.002528783 0.0028577303 0.002549342 0.0025699013 0.0028029056 0.002816612 0.0025699013 0.002720669 0.0030770286 0.003618421 0.0024808114 0.0023094846 0.0024602523 0.00294682 0.0025836076 0.0025150767 0.005475603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042629377 3.4629877e-05 0.000280502 6.579676e-05 0.00014890847 0.00014544548 0.0014440658 0.00068220857 0.0 0.0 6.925975e-06 6.925975e-06 3.4629875e-06 0.0 3.4629875e-06 6.925975e-06 0.00861245 0.00020431627 0.00060602283 0.00013505651 0.0003012799 0.000273576 0.0017799756 0.00095232157 0.00023548315 0.00012120457 0.00010042664 0.00016968639 0.00014890847 9.350067e-05 0.00018007535 0.00027011303 0.0043183453 0.00016276042 0.00021124224 0.00020085328 0.00024240914 0.00016968639 0.00026318704 0.0002216312 0.00020431627 0.00018007535 0.0001385195 0.00016968639 0.0001973903 0.00012120457 0.00011427859 0.00017661236 0.010717947 0.0003324468 0.000550615 0.00069259753 0.0014163619 0.0010631372 0.0018492354 0.0010042664 0.0006683566 0.0008034131 0.00066143065 0.00029781694 0.00028396497 0.00020431627 0.00024240914 0.00048828125 0.0 0.0 1.7314938e-05 0.0012120457 0.0012674534 0.0012709164 0.00057485595 0.0003601507 0.00018700134 0.0010839151 0.001104693 1.385195e-05 0.0 0.0 0.0 0.0 0.010624446 0.00057485595 0.0009765625 0.002226701 0.0037400266 0.0028327238 0.0031443927 0.0021158855 0.0013263243 0.0020847186 0.0029227615 0.00046750333 0.00065796764 0.0005333001 0.0005090592 0.0007237644 0.039287593 0.0048481827 0.004456865 0.0041729 0.004526125 0.0045226617 0.0045434395 0.0042109927 0.0044360873 0.00440492 0.0045088097 0.0048100897 0.004515736 0.004252549 0.0043321974 0.004553829 0.21619432 0.031959914 0.034948472 0.03273216 0.036506817 0.033213515 0.03274601 0.03280488 0.034927692 0.03273216 0.031305406 0.032749474 0.032901846 0.032846436 0.033237755 0.034505207 0.008903341 0.0049451464 0.006752826 0.0052325744 0.0072203293 0.0053537786 0.0047062 0.0046577184 0.0058005042 0.004107103 0.0041140295 0.0041140295 0.0043737534 0.004380679 0.004352975 0.0060913954 400.0 7.8825 3153.0 0.007928956 0.0057088486 0.003488741 0.006026007 0.00729464 0.00729464 0.004440216 0.004757374 0.0063431654 0.00729464 0.0063431654 0.006977482 0.004440216 0.004757374 0.007611798 0.0050745322 0.0041230572 0.0057088486 0.003805899 0.008563273 0.0050745322 0.00919759 0.0057088486 0.0053916904 0.006026007 0.0031715827 0.006026007 0.004757374 0.0031715827 0.008880432 0.0050745322 0.006026007 0.008563273 0.012369173 0.014272122 0.013003489 0.018078022 0.015540754 0.012369173 0.015223596 0.009831906 0.013003489 0.006026007 0.008563273 0.010783381 0.01458928 0.009831906 0.006026007 0.015857913 0.0063431654 0.012052014 0.019346654 0.00919759 0.009514748 0.010783381 0.014272122 0.003488741 0.0050745322 0.0053916904 0.0066603236 0.003805899 0.006026007 0.006026007 0.017760864 0.0050745322 0.022518236 0.007928956 0.013637805 0.013637805 0.056137014 0.007928956 0.015540754 0.011417697 0.027592769 0.0050745322 0.0066603236 0.024104027 0.0101490645 0.026006978 0.018078022 0.017760864 0.0053916904 0.026006978 0.020298129 0.03837615 0.017126545 0.013637805 0.004757374 0.011100539 0.008880432 0.009514748 0.0031715827 0.0057088486 0.0082461145 0.006026007 0.0063431654 6.2797656 0.0 0.0 0.0 3.0 145920.0 176128.0 0.0 0.0 75.0 0.0 1.0 0.0 0.0 0.0 1318121900.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 8.0 0.0 5.0 0.0 5.0 0.0 136704.0 1024.0 4096.0 5.0 2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136704.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.7868977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.799958 0.0 0.0 0.0 0.0 5.5746865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 -140672.0 0.0 0.0 0.0 0.0 6952.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 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 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 -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 -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 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -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 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 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 1.0 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 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 2.0 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 1.0 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 -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 1.0 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 -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 -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 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 1.0 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 -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 -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 -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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 36864.0 6952.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 328.0 171276.0 0.0 0.0 0.0 0.0


Input: 0.48596913 0.007789222 0.00910562 0.005894894 0.009221206 0.0028960751 0.0035253775 0.0029988184 0.013709801 0.0019071714 0.0016246275 0.0022025583 0.006267338 0.003518956 0.0010274325 0.00415468 0.005843522 0.001971386 0.0008412103 0.00078983867 0.003332734 0.0019521216 0.0008091031 0.00039170863 0.0016182062 0.00075130997 0.0003531799 0.00039170863 0.0010852255 0.000269701 0.0005329806 0.00041739442 0.0022603513 0.00032749408 0.00091826776 0.0022282442 0.0020099147 0.0007448885 0.00026327957 0.00025685813 0.00065498817 0.00035960137 0.00033391555 0.0012008117 0.0009118463 0.0010338539 0.0009054248 0.000680674 0.0026006885 0.0014255625 0.0019071714 0.0079112295 0.0018108496 0.0013870338 0.0016952635 0.0012971335 0.0021062365 0.002099815 0.0013163978 0.0025878455 0.0018236926 0.0013870338 0.0015218843 0.0012586047 0.0043858523 0.008887291 0.0035960136 0.0013420837 0.0022603513 0.009908302 0.0019135929 0.0014833556 0.0012393404 0.0009696394 0.00037886572 0.00049445184 0.0010402753 0.0042188945 0.0012971335 0.000680674 0.006280181 0.0015860988 0.0008412103 0.0027355389 0.001220076 0.003461163 0.00375655 0.0028318607 0.0017530567 0.0020356006 0.0007641529 0.0016246275 0.0010017466 0.0035125348 0.0022346657 0.0028575466 0.0006357238 0.0031272476 0.0011879688 0.0023887805 0.0032235694 0.0052527483 0.0021383439 0.00091826776 0.0025043667 0.0028254392 0.004649132 0.0006036166 0.0027997533 0.0019970718 0.0025236309 0.002664903 0.0029538684 0.00064856675 0.0039170864 0.0045335456 0.00892582 0.009253314 0.0015026199 0.0010402753 0.001759478 0.0010852255 0.00045592315 0.000269701 0.0007448885 0.0024594164 0.0008283674 0.00052655913 0.002170451 0.0008733176 0.00040455154 0.0061196447 0.0026584815 0.004366588 0.00031465117 0.00025685813 0.0015539916 0.0080203945 0.0014705127 0.03072665 0.000950375 0.005387599 0.00016053632 0.0001348505 0.0010723827 0.00014769341 0.00017337923 0.00019906503 0.0007063598 0.00023117231 0.00016695778 0.00014769341 0.0008091031 0.0002183294 0.0001091647 0.00020548649 0.0005715093 0.00020548649 9.632179e-05 0.00015411487 0.0005971951 0.00056508783 0.00022475085 0.00025685813 0.00062930235 0.0003531799 0.0001348505 0.00014769341 0.0007384671 0.00021190794 0.0002440152 0.000102743244 0.00055224495 0.000115586154 0.0001348505 0.00017980069 0.0011558615 0.00019906503 0.00015411487 0.00017980069 0.0006742525 0.0003531799 0.00023759375 0.00052655913 0.0010466968 0.00028896538 0.00032107264 0.0002440152 0.00062930235 0.00025043666 0.00045592315 0.00023759375 0.0056829858 0.0068773758 0.0023438302 0.0033648412 0.0019906503 0.00034675846 0.0029859755 0.0024979452 0.005246327 0.0013677694 0.001772321 0.0008476318 0.0011751258 0.00038528716 0.0012778691 0.001162283 0.0032107264 0.0014191411 0.00049445184 0.00057793077 0.0005458235 0.000102743244 0.0008091031 0.00043023733 0.0011879688 0.0004495017 0.00037886572 0.0006742525 0.00085405324 0.00017337923 0.00032107264 0.000269701 0.0014127196 0.00035960137 0.00019264358 0.00028254392 0.0014512483 0.001078804 0.00028896538 0.00019906503 0.009908302 0.0010659612 0.00019906503 0.0029859755 0.0039170864 0.00017980069 0.00026327957 0.00025685813 0.0025428953 0.0013806124 0.0009760608 0.00078983867 0.001701685 0.0004751875 0.001842957 0.0019264359 0.0027419603 0.0006421453 0.0004751875 0.00055224495 0.0037501284 0.0009824822 0.0023438302 0.023354825 0.07759145 0.00017461713 0.000106710475 4.527111e-05 0.0006143936 1.6168253e-05 2.9102855e-05 5.173841e-05 0.00045594474 1.6168253e-05 6.4673013e-06 6.4673013e-06 2.5869205e-05 1.2934603e-05 2.9102855e-05 0.00028779492 0.25464675 0.0021536113 0.000472113 0.00012287873 0.0027000983 0.0001843181 0.0006693657 0.0005852908 0.0016426946 0.00022958919 0.000113177775 0.00010024317 0.000119645076 9.054222e-05 9.700952e-05 0.00097332883 0.055085238 0.0010865066 5.173841e-05 7.760762e-05 0.001083273 8.730857e-05 0.00038157078 0.00029426222 0.00020695364 7.4373966e-05 8.407492e-05 5.497206e-05 6.1439365e-05 8.0841266e-05 6.1439365e-05 0.00083104824 0.02840762 0.0006823003 6.1439365e-05 5.497206e-05 0.000601459 5.820571e-05 0.0016685637 0.00083104824 0.00013257968 2.9102855e-05 1.6168253e-05 2.5869205e-05 2.9102855e-05 2.5869205e-05 4.203746e-05 0.0004462438 0.0055618794 9.700952e-06 0.00010347682 0.00016168253 0.00013257968 8.407492e-05 0.00032336506 0.0002231219 1.6168253e-05 3.2336507e-06 3.2336507e-06 0.0 0.0 0.0 0.0 0.0 0.009325849 3.2336506e-05 6.1439365e-05 0.00015521524 0.00019401904 6.7906665e-05 0.0017623396 0.0015068812 2.9102855e-05 9.700952e-06 6.4673013e-06 1.6168253e-05 3.2336507e-06 0.0 3.5570156e-05 3.880381e-05 0.00662575 9.054222e-05 2.9102855e-05 0.00016491619 7.114031e-05 0.0 0.0030008277 0.0031722113 0.0 0.0 0.0 0.0 0.0 3.2336507e-06 1.2934603e-05 7.4373966e-05 0.00390625 2.5869205e-05 0.00016814984 0.00010994412 0.00010994412 0.0002813276 0.0012934603 0.0006531974 3.2336507e-06 9.700952e-06 3.2336507e-06 1.6168253e-05 0.0 3.2336507e-06 2.5869205e-05 1.2934603e-05 0.0042619514 6.1439365e-05 0.00034276696 0.00013257968 0.00030396317 0.00027809397 0.000601459 0.00037186983 3.2336506e-05 3.5570156e-05 1.2934603e-05 1.2934603e-05 3.5570156e-05 1.2934603e-05 6.1439365e-05 6.467301e-05 0.005193243 2.9102855e-05 0.00083428185 0.0008601511 0.0007340387 0.0003945054 0.0032271834 0.0017526386 2.2635555e-05 6.4673013e-06 2.9102855e-05 6.4673013e-06 4.203746e-05 3.2336506e-05 4.527111e-05 3.5570156e-05 0.011534432 0.00032336506 0.0019595923 0.002897351 0.0055780476 0.0031495758 0.011097889 0.006619283 0.0004527111 0.00013581333 0.0002489911 0.00021665459 0.00031043048 0.00023929015 0.00029749586 0.0012966939 0.018156948 0.0014713111 0.0012934603 0.010913571 0.0030137624 0.0022085833 0.0040679327 0.00268393 0.003822175 0.0010477029 0.00092805777 0.0010412355 0.0039321193 0.0014066381 0.0015004139 0.0021148075 0.008080893 0.0013354977 0.0007922444 0.003424436 0.0036410906 0.0024123034 0.001138245 0.0025384158 0.0064964043 0.0003071968 0.00017785079 0.0002489911 0.003935353 0.000989497 0.0016879656 0.0025287147 0.056478944 0.009720354 0.006053394 0.01131131 0.018218387 0.021186879 0.006748629 0.014221596 0.04017164 0.0020048635 0.002008097 0.0031560431 0.024559576 0.0067841993 0.014855391 0.027421357 0.016963731 0.0036604926 0.002017798 0.0029749586 0.0066968906 0.0077995653 0.0028941173 0.0050962334 0.011857797 0.0008245809 0.0010574037 0.0014648438 0.0060048895 0.0018140781 0.004869878 0.010095458 0.0011156094 0.00036216888 0.0004527111 0.00062409457 0.00037186983 0.00034923427 0.00044301015 0.00034276696 0.00043007554 0.00030396317 0.00026515935 0.0003007295 0.00031043048 0.00030396317 0.00031043048 0.00033629968 708.0 14.711864 10416.0 0.018529186 0.00057603687 0.004800307 0.00096006144 0.0076804915 0.00038402458 0.000672043 0.00028801843 0.0014400922 0.00038402458 0.000672043 0.00038402458 0.00096006144 0.009312596 0.008736559 0.0052803378 0.012672811 0.006624424 0.010656682 0.008160522 0.0071044546 0.0064324117 0.007200461 0.0043202764 0.0071044546 0.007296467 0.006528418 0.0037442397 0.0094086025 0.0045122886 0.00921659 0.00796851 0.021313364 0.012000768 0.0027841781 0.006528418 0.016897082 0.0064324117 0.0036482336 0.008544547 0.002592166 0.010368664 0.0010560676 0.0018241168 0.0038402458 0.002688172 0.009792627 0.004608295 0.012864823 0.0021121353 0.004032258 0.0076804915 0.008448541 0.003360215 0.0031682027 0.004032258 0.0099846395 0.00096006144 0.0036482336 0.0012480799 0.0021121353 0.00076804915 0.00076804915 0.021313364 0.0017281106 0.03984255 0.014112903 0.030433947 0.03485023 0.06326805 0.0094086025 0.009888633 0.009600614 0.03609831 0.002016129 0.004608295 0.028225806 0.024865592 0.03158602 0.032930106 0.02889785 0.0041282643 0.038690478 0.053379416 0.05827573 0.018913211 0.012672811 0.007392473 0.008736559 0.007776498 0.0031682027 0.00096006144 0.000672043 0.00057603687 0.00038402458 0.00048003072 5.7563744 1.0 2.0 0.0 4.0 155728.0 167936.0 1.0 36.0 123.0 1.0 1.0 1.0 0.0 0.0 1489146100.0 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 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 -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 0.0 5.0 1.0 5.0 1.0 61440.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82944.0 0.0 0.0 0.0 0.0 0.0 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 -61952.0 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 -6.4592533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.9135644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.66857564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.1360235 0.0 5.031105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61247.0 0.0 2680.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -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 -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 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 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 -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 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 -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 0.0 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 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 -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 -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 -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 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 -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 -1.0 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 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 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 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 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 -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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 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 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 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 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 -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 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 1.0 1.0 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 1.0 0.0 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 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 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 -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 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 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 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 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 -1.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1292.0 142768.0 240.0 144060.0 2680.0 159744.0 0.0 0.0 2128.0 153600.0 3652.0 163840.0 84.0 140416.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 140312.0 0.0 0.0 536.0 65536.0 96.0 142436.0 0.0 0.0


Input: 0.022478146 0.04231269 0.005620612 0.006199236 0.0061347056 0.0044181924 0.005620612 0.004577368 0.006222897 0.0042353556 0.004693523 0.0041815806 0.005302261 0.003803001 0.0047343923 0.004852698 0.0060486645 0.0034093647 0.003772887 0.0036976011 0.004620388 0.0031576955 0.0038223602 0.0034201199 0.0048634536 0.00320932 0.003549181 0.0034029116 0.004379474 0.0030114262 0.004015952 0.0034093647 0.0054313224 0.0038417194 0.0033104178 0.0033792504 0.004041764 0.0031404872 0.0032028668 0.0034007607 0.0038503236 0.002884516 0.0029361406 0.0034631402 0.003439479 0.0031383364 0.0035147646 0.003327626 0.0045580086 0.0028221365 0.003439479 0.003340532 0.0038696828 0.0027059815 0.003456687 0.0033770993 0.0040503684 0.003549181 0.0028070793 0.0038696828 0.004269772 0.0029146303 0.0031060711 0.00390625 0.005244184 0.0041815806 0.0039557233 0.0042181476 0.0036223156 0.0031942627 0.0037642827 0.0037255643 0.0041600703 0.0031189772 0.0032007159 0.0030458425 0.003443781 0.0032846057 0.0034115156 0.0032265282 0.00473009 0.0031964139 0.0033878544 0.0039342134 0.0033039649 0.0027769653 0.004031009 0.003893344 0.0039793844 0.0028651569 0.0029447447 0.0030114262 0.0035255197 0.0029232344 0.003215773 0.003340532 0.004147164 0.003224377 0.0025554101 0.0025726184 0.003536275 0.0030178793 0.0029339895 0.002643602 0.0036094093 0.0033190218 0.0037707358 0.0027167366 0.003540577 0.0029038752 0.0031813567 0.0033577401 0.0040030456 0.002523145 0.003998744 0.00287161 0.0053818487 0.0047343923 0.0031447895 0.0031383364 0.003536275 0.0029253855 0.0022177002 0.0026651123 0.0033104178 0.0026651123 0.0028113814 0.003116826 0.004788168 0.0035749932 0.0032480382 0.004172976 0.003940666 0.003340532 0.0030221813 0.0030243322 0.0033814015 0.0036094093 0.0028393448 0.0044397027 0.0029813119 0.0034911034 0.0026930755 0.0024672186 0.004237507 0.0027124346 0.0027253407 0.0025876756 0.0028307405 0.0024908797 0.002626394 0.0026565082 0.0028457977 0.0023811776 0.0024908797 0.0026393 0.0026866223 0.0022392105 0.0028049285 0.0022047942 0.0032609443 0.0026823203 0.0021144515 0.00217468 0.0029404426 0.0023833287 0.0023833287 0.0023876308 0.0028350428 0.0023768756 0.002202643 0.0021639247 0.002759757 0.0022693248 0.0022714757 0.0022585697 0.0037642827 0.00217468 0.0018821413 0.0021316595 0.003207169 0.0022220023 0.0023661207 0.002514541 0.003331928 0.0023682716 0.0024414062 0.002398386 0.0030243322 0.0022263043 0.0028328917 0.0032803034 0.0045580086 0.0037320175 0.003334079 0.0030135773 0.0027855693 0.0020112025 0.0028242876 0.0025855245 0.004046066 0.0024801246 0.0023403084 0.002434953 0.002398386 0.0022327574 0.0021918882 0.0029124795 0.0034932543 0.0022370594 0.0025532593 0.0024736715 0.002622092 0.0017724395 0.00240699 0.0021445656 0.0032953606 0.0023704227 0.002531749 0.0027360958 0.0027533039 0.002434953 0.0023919328 0.0028328917 0.0043407558 0.0027274918 0.002318798 0.0021144515 0.003686846 0.0019832393 0.0019918433 0.0020628269 0.002970557 0.002086488 0.0018907455 0.0049860612 0.002875912 0.002409141 0.0023231 0.0025123898 0.004506384 0.002409141 0.0024005368 0.0023833287 0.002634998 0.0016950028 0.0024865777 0.0026328468 0.0033727973 0.0024693694 0.0019251618 0.002402688 0.0029662547 0.0023231 0.0027296427 0.123188846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002045823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016168253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024043271 0.0 9.700952e-06 1.0778836e-06 3.2336507e-06 0.0 0.0 0.0 5.3894178e-06 3.2336507e-06 0.0 2.155767e-06 2.155767e-06 9.700952e-06 0.0 0.062012795 0.0036087541 2.4791321e-05 2.4791321e-05 4.527111e-05 3.018074e-05 2.9102855e-05 2.2635555e-05 2.5869205e-05 1.2934603e-05 2.0479787e-05 4.311534e-06 1.0778836e-06 2.155767e-06 9.700952e-06 3.2336507e-06 0.007172237 0.0010196778 1.6168253e-05 8.623068e-06 7.006243e-05 3.4492274e-05 4.6348992e-05 4.850476e-05 3.341439e-05 1.9401905e-05 4.7426878e-05 2.2635555e-05 3.2336507e-06 4.311534e-06 3.2336507e-06 5.3894178e-06 0.0030320864 0.0022269075 5.9283597e-05 5.712783e-05 6.575089e-05 4.527111e-05 5.6049947e-05 6.1439365e-05 5.389418e-05 7.22182e-05 2.8024973e-05 1.509037e-05 1.832402e-05 2.9102855e-05 1.7246137e-05 6.467301e-05 0.0015446071 0.004111048 0.00014120275 0.00010347682 0.00028995067 0.00017892868 0.00015521524 0.0001832402 0.00021881037 0.00021126517 0.00022958919 6.898455e-05 3.4492274e-05 7.760762e-05 8.946434e-05 0.00012072296 0.0048235287 0.0021525335 7.006243e-05 7.652973e-05 0.0005626552 0.000157371 0.00021234306 0.00042360823 0.00016814984 0.0001379691 0.0004645678 0.00010132106 4.850476e-05 4.9582643e-05 4.0959574e-05 4.3115342e-05 0.0063282545 0.0009075779 3.7725924e-05 6.575089e-05 0.0002554584 7.760762e-05 0.00016060464 0.00016276042 4.203746e-05 9.2697985e-05 0.0001961748 5.066053e-05 5.389418e-05 4.0959574e-05 3.5570156e-05 2.4791321e-05 0.002210739 0.0031916131 0.00025438052 0.0006327176 0.0007663752 0.0005497206 0.00050768314 0.0018798289 0.0010078212 0.00013581333 0.00018539597 0.0003082747 0.00012180084 9.80874e-05 0.00011641142 0.00019509692 0.003294012 0.0026602165 0.000268393 0.0002619257 0.00081703573 0.0012622017 0.0011522576 0.00085476163 0.000546487 0.00046133416 0.000786855 0.00074912905 0.00062409457 0.00043115343 0.00019940846 0.00023282284 0.008559473 0.004100269 0.00064349646 0.00061115995 0.0009765625 0.001267591 0.0013581333 0.0009054222 0.0005993033 0.00069092336 0.0009097337 0.00081380206 0.0006488859 0.00060684845 0.00039666114 0.0005637331 0.0069825295 0.0037133088 0.0010110547 0.0014508313 0.0019542028 0.0027356686 0.0025491945 0.0014896351 0.0014917909 0.0014400524 0.0023530198 0.0015079591 0.0012622017 0.001564009 0.0011457902 0.00096686155 0.013099519 0.0034966543 0.002489911 0.0018862962 0.0013473545 0.0011748931 0.0011404008 0.0009787183 0.00086122897 0.00080949056 0.0007027801 0.0005949917 0.0006801445 0.00053894176 0.00059175806 0.00061115995 0.001962826 0.07707837 0.05683788 0.05119408 0.048977952 0.051270608 0.047712516 0.043897886 0.048022944 0.051036708 0.037322797 0.03530823 0.038747758 0.04249448 0.03847613 0.040500395 0.041673135 2467.0 6.5289826 16107.0 0.017632086 0.009188551 0.010802757 0.009002297 0.012354877 0.006146396 0.007946855 0.008940212 0.012479046 0.0075743464 0.008319364 0.008878128 0.010368163 0.012168623 0.012479046 0.009747315 0.015334948 0.008629789 0.009188551 0.009250636 0.010368163 0.007388092 0.010119824 0.008381449 0.013286149 0.010492332 0.007636431 0.009126467 0.014652015 0.008878128 0.010554417 0.01136152 0.013224064 0.011113181 0.008195194 0.013906997 0.0101819085 0.008195194 0.009312721 0.010989011 0.013410319 0.0099335695 0.008381449 0.0073260074 0.010492332 0.007388092 0.009747315 0.009374806 0.014155336 0.008567704 0.010243993 0.012727385 0.010864842 0.008071025 0.011051096 0.011858198 0.011485689 0.0075743464 0.008691873 0.007201838 0.008816043 0.0053392933 0.007077668 0.008753958 0.012044453 0.013844912 0.007884771 0.011051096 0.014776184 0.017135408 0.0099335695 0.008319364 0.010616502 0.016700814 0.010740671 0.0072639226 0.014279506 0.010119824 0.013410319 0.016638728 0.014279506 0.006767244 0.015272862 0.013844912 0.021978023 0.016576644 0.007760601 0.009250636 0.009498975 0.008940212 0.0049047 0.0062705656 0.00800894 0.005835972 0.0060843113 0.007636431 6.525249 0.0 0.0 0.0 5.0 464896.0 1110016.0 0.0 0.0 17.0 1.0 1.0 0.0 0.0 0.0 1541899900.0 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 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 -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 0.0 12.0 0.0 5.0 1.0 5.0 1.0 356352.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -353280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.935284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.991277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -356352.0 0.0 0.0 0.0 0.0 0.0 638976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -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 -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 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 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 -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 1060.0 1108692.0 109268.0 999424.0 0.0 0.0 0.0 0.0 12.0 1109752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 995860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13848832 0.015050992 0.0068538217 0.006511131 0.014475271 0.0042904923 0.008265709 0.0030568044 0.015407391 0.0029745586 0.0025770369 0.0023028841 0.010829038 0.003577695 0.001768286 0.0040437547 0.00738842 0.0013022261 0.0012062726 0.0021795153 0.0043316153 0.0036325254 0.0015078408 0.0014118872 0.0026455752 0.0015078408 0.0010280733 0.001343349 0.0018094089 0.0017408708 0.0012885184 0.001192565 0.0063055158 0.00087728916 0.0015215484 0.0009184121 0.0032761267 0.013899551 0.000808751 0.0010417809 0.0013707643 0.0011788573 0.0012199803 0.002960851 0.0015900866 0.0018642395 0.003070512 0.0021521 0.010500055 0.0043727383 0.0042356616 0.005839456 0.0022343458 0.0018505319 0.0024536683 0.0027552363 0.0028100668 0.0028786052 0.0021658076 0.0045920606 0.001960193 0.0017271631 0.0015626714 0.0036736485 0.00982838 0.006730453 0.0021383923 0.0042356616 0.0043590306 0.011295098 0.004756552 0.003193881 0.003070512 0.0027552363 0.0012611032 0.0010006579 0.0015215484 0.0065933764 0.0038244326 0.0010829038 0.011295098 0.003070512 0.0016860401 0.006182147 0.0020972695 0.0087317685 0.007251343 0.016641079 0.003235004 0.00622327 0.0021383923 0.0020561465 0.0011651497 0.007073144 0.004838798 0.0056612566 0.0011788573 0.008224586 0.0021521 0.0049210438 0.004345323 0.011966772 0.0029060205 0.002768944 0.004811383 0.008334247 0.0068675294 0.00071279745 0.0049073366 0.0034269108 0.006291808 0.004879921 0.0038518477 0.00083616626 0.008635815 0.008964798 0.01669591 0.013625397 0.0024399606 0.0021383923 0.002768944 0.0025770369 0.001384472 0.0008498739 0.0014393026 0.002535914 0.0024399606 0.0013022261 0.0037147712 0.0014667178 0.0022891765 0.009142998 0.0020287312 0.005770918 0.0024673757 0.00046605986 0.0014393026 0.01052747 0.0009458274 0.03816208 0.0012062726 0.010171072 0.0006442592 0.00068538217 0.0011514421 0.0004797675 0.00087728916 0.0010829038 0.00083616626 0.00057572103 0.0004797675 0.0004112293 0.00074021274 0.00069908984 0.0005071828 0.0004934752 0.00083616626 0.0006716745 0.00057572103 0.00054830575 0.0013159338 0.0012199803 0.0005345981 0.00089099683 0.0008498739 0.0013022261 0.0006305516 0.00071279745 0.0009869504 0.000959535 0.00087728916 0.0005071828 0.000808751 0.00043864458 0.0005345981 0.00086358155 0.003536572 0.0017957013 0.0015078408 0.0010554886 0.0012748109 0.0005345981 0.0010829038 0.0010554886 0.0017271631 0.0007265051 0.0006579669 0.00068538217 0.0007813357 0.00046605986 0.00083616626 0.0007539204 0.006840114 0.0021521 0.0044001536 0.0052089044 0.0029882663 0.0011514421 0.0038244326 0.003810725 0.0028923128 0.0019464854 0.0008224586 0.001192565 0.00360511 0.0010417809 0.0028511898 0.0016586249 0.0014804255 0.0010554886 0.0009184121 0.00058942864 0.0010143656 0.00046605986 0.0009321197 0.0010006579 0.0018642395 0.0010691962 0.00089099683 0.0015078408 0.0014393026 0.0007950433 0.000808751 0.00071279745 0.0018231166 0.000767628 0.0006716745 0.0009184121 0.0029471433 0.0019464854 0.0007950433 0.0006305516 0.018560149 0.002193223 0.00069908984 0.004715429 0.008156048 0.00058942864 0.00046605986 0.0005345981 0.0029745586 0.0028648975 0.0009321197 0.0017957013 0.0020424388 0.00054830575 0.0021658076 0.0020287312 0.0033583727 0.001535256 0.0011651497 0.001192565 0.004688014 0.001535256 0.0017957013 0.042192128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027127512 0.00036272322 0.0018484934 0.00076032366 0.0009137835 0.0017159599 0.0045061386 0.002469308 0.00016741072 0.00025809152 0.0001046317 0.00020228795 0.00056501117 9.765625e-05 9.0680805e-05 0.0016671317 0.009193638 0.0001953125 0.0010184152 0.00011858259 0.00022321429 0.0008370536 0.0004673549 0.00034877233 4.185268e-05 0.00014648438 4.8828126e-05 0.0002859933 0.00030691965 8.370536e-05 2.7901786e-05 0.0009416853 0.0080775665 0.00013253349 0.0010463169 0.00018136161 0.00042550222 0.000983538 0.0010114397 0.0006347656 6.975447e-05 0.00015345983 0.00029296876 0.0005092076 8.370536e-05 0.00012555804 6.277902e-05 0.0004952567 0.0065359934 0.00016043527 0.0012904576 0.002469308 0.01046317 0.006515067 0.017724609 0.011070034 0.00011858259 4.185268e-05 6.975447e-05 0.00012555804 9.0680805e-05 0.00023018973 0.00016741072 6.975447e-05 0.029847935 0.0011928013 0.00304827 0.0031459264 0.00819615 0.006856864 0.01398577 0.0072335377 0.0017926898 0.0006696429 0.00082310266 0.000906808 0.0017787388 0.002141462 0.0019461495 0.0021484375 0.01976144 0.0022460937 0.003515625 0.01397182 0.0074916296 0.006187221 0.005719866 0.006284877 0.006794085 0.0012416295 0.0010672433 0.0010742188 0.00234375 0.001764788 0.0028808594 0.0033691407 0.06101423 0.011460658 0.008356585 0.010546875 0.017843192 0.028913226 0.008405413 0.017613003 0.040053014 0.0016531808 0.0021135602 0.0047781807 0.019029018 0.0040527345 0.019886998 0.029994419 0.07633928 0.019705636 0.023653738 0.024365235 0.022509765 0.038183592 0.026890347 0.027357701 0.043038506 0.0064453124 0.0086077005 0.01038644 0.022544643 0.007979911 0.021512277 0.034765624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 592.0 20.58446 12186.0 0.023961924 0.000656491 0.0008206138 0.0004923683 0.009437059 0.0054981126 0.000656491 0.002625964 0.0027080255 0.0022156574 0.00016412276 0.0015591662 0.0022156574 0.0073855245 0.01427868 0.009190875 0.02552109 0.013704251 0.009683243 0.0068110945 0.0029542097 0.0041851304 0.0035286394 0.003446578 0.0039389464 0.005251928 0.0072214017 0.0024618416 0.0032824553 0.001723289 0.002790087 0.016330214 0.043164287 0.026998194 0.0039389464 0.013704251 0.017068768 0.005416051 0.0022977188 0.008042015 0.0025439027 0.0102576725 0.0011488594 0.001066798 0.0019694732 0.004267192 0.009847366 0.0018053504 0.01427868 0.0025439027 0.005251928 0.017561136 0.007057279 0.005169867 0.0046774987 0.008698506 0.011980962 0.0057442966 0.009519121 0.001066798 0.0012309208 0.0009847366 0.001312982 0.019120302 0.000656491 0.044723455 0.009437059 0.025931397 0.019448547 0.06047924 0.0048416215 0.014032496 0.013211883 0.044805516 0.0011488594 0.0018874118 0.024372231 0.01838175 0.033645168 0.026259642 0.011980962 0.0005744297 0.040538322 0.041523058 0.05457082 0.009929427 0.004923683 0.0057442966 0.004349253 0.008206138 0.0056622354 0.0004923683 0.0005744297 0.00024618415 0.0004103069 0.0005744297 5.7415476 0.0 33.0 0.0 2.0 72952.0 77824.0 1.0 63.0 152.0 1.0 1.0 1.0 0.0 0.0 1542981200.0 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 -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 0.0 14.0 0.0 5.0 1.0 5.0 1.0 39936.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14336.0 0.0 0.0 0.0 0.0 0.0 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 -40448.0 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 -6.577315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3472347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2748163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.386637 0.0 4.4047766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39816.0 0.0 1152.0 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 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 -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 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 -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 -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 -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 1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 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 -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 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 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 -1.0 1.0 0.0 0.0 1.0 -1.0 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 -1.0 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 -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 -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 -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 -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 -1.0 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 1.0 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 1.0 1.0 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 1.0 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 -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 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -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 -1.0 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 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 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 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 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 -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 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 -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 -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 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 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 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 -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 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 -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 -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 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 -1.0 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 -1.0 0.0 0.0 -1.0 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 1.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 2792.0 51168.0 260.0 53960.0 1152.0 69632.0 0.0 0.0 13048.0 59904.0 1848.0 73728.0 84.0 47280.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 47368.0 0.0 0.0 656.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.05671496 0.008302126 0.0061737476 0.0056628957 0.005754082 0.0049613803 0.0042070183 0.005428712 0.0050453134 0.0056235194 0.0037531578 0.004475397 0.004954127 0.0031687345 0.004321002 0.0046432633 0.0050318427 0.003768701 0.004929258 0.0041593527 0.004352088 0.0031739157 0.0041085784 0.0038433082 0.0050691464 0.003356289 0.0031645896 0.0029345509 0.004151063 0.003440222 0.003792534 0.0037946063 0.0061685666 0.0038163667 0.0034868515 0.0030278098 0.0048992075 0.0041645337 0.0038453806 0.0037231077 0.004725124 0.0038982274 0.003332456 0.0030961998 0.0043707397 0.0037220714 0.0037303611 0.0035832191 0.0055157533 0.003949002 0.0031003447 0.002901392 0.003675442 0.0030692583 0.0026900049 0.0028661608 0.0041717873 0.0033179491 0.0035210466 0.003356289 0.004010138 0.0032267624 0.0035075757 0.0034578375 0.0065985946 0.003943821 0.0036236313 0.0032215815 0.004154172 0.0032205451 0.0035459155 0.0030671859 0.0049966117 0.0037769908 0.0037075644 0.0035894364 0.0041241217 0.0031293586 0.0035624949 0.003465091 0.005170695 0.0036298486 0.0036598989 0.0033397095 0.0039313864 0.0033759768 0.0033604337 0.0035376258 0.0046484447 0.0036433195 0.0038101494 0.0035117206 0.0041147955 0.0033873753 0.003689949 0.003788389 0.0059095137 0.0036288125 0.003337637 0.0029542388 0.004008066 0.003048534 0.003268211 0.0030298822 0.0049779597 0.0031676984 0.0031977484 0.0030454255 0.0035780382 0.002827821 0.0030806565 0.00319464 0.004502339 0.0032899713 0.0032329797 0.0031449017 0.0038930464 0.0033283113 0.0032920437 0.0036246676 0.004622539 0.0032868627 0.0034806342 0.0031697708 0.0040401886 0.0031987848 0.003474417 0.0033397095 0.008646148 0.0045987065 0.004014283 0.0035210466 0.004366595 0.0034360772 0.0030205564 0.0033832304 0.004532389 0.003837091 0.0029677097 0.0031915312 0.0037355423 0.0027946623 0.002846473 0.0029770355 0.005229759 0.0031998209 0.003494105 0.0030278098 0.0036588626 0.0031822054 0.0033024058 0.003264066 0.0045458595 0.002842328 0.0030350634 0.0027045119 0.0035189742 0.0032236539 0.0029832528 0.003151119 0.0050162994 0.0034091356 0.0032713194 0.002803988 0.0037790632 0.0030060494 0.0030537152 0.0031832415 0.0041355197 0.0029987958 0.0031148517 0.003009158 0.003646428 0.0028340383 0.0029169351 0.003034027 0.0046722773 0.0031107068 0.003842272 0.0028589074 0.003557314 0.003150083 0.0029853252 0.0031231414 0.0042536478 0.0031438656 0.0033386734 0.003185314 0.0036505728 0.0031925675 0.0033334922 0.0033448904 0.006718795 0.004066094 0.0037158541 0.0033314198 0.004115832 0.0032568125 0.0033065507 0.0032277987 0.0043303277 0.0033314198 0.0031138153 0.003077548 0.003646428 0.0029832528 0.0030806565 0.0027925898 0.0042453585 0.003278573 0.003092055 0.0030070855 0.0037096369 0.0030267737 0.002935587 0.0029428406 0.0039821607 0.003106562 0.00271591 0.0026340494 0.0035241551 0.0029418042 0.0035749294 0.002886885 0.0049561993 0.0032298712 0.0033987735 0.0029728906 0.0038101494 0.0030692583 0.0032008572 0.0029138266 0.0044474197 0.005455653 0.0034671635 0.0031324672 0.003792534 0.0030868738 0.003249559 0.0031977484 0.004617358 0.0033179491 0.0034122444 0.0030392082 0.0037355423 0.0030889462 0.003308623 0.0032412694 0.0043500154 0.0030298822 0.0031873863 0.0028651247 0.0040163556 0.003092055 0.0042215255 0.004517882 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099234216 0.062022097 0.062468346 0.055325743 0.06059254 0.059578095 0.05492308 0.05447216 0.06046852 0.053138595 0.052114293 0.052954387 0.05641594 0.050535813 0.056681618 0.0538142 4028.0 5.7030783 22972.0 0.017194847 0.010447501 0.009402751 0.00866272 0.013451158 0.012493471 0.011840502 0.011492251 0.012580533 0.009751001 0.008488595 0.008575657 0.01388647 0.010534564 0.011840502 0.010012189 0.016716002 0.011884033 0.008749782 0.007530907 0.009794532 0.008488595 0.007835626 0.00831447 0.010360438 0.008445064 0.009620408 0.008836845 0.011579314 0.008967439 0.009620408 0.009185095 0.01797841 0.0108828135 0.010360438 0.0090980325 0.0108828135 0.008793314 0.010621626 0.00831447 0.014191189 0.011579314 0.00970747 0.008923908 0.0114487205 0.009315689 0.011666376 0.009533345 0.014800627 0.009620408 0.010012189 0.009054502 0.0120581575 0.00935922 0.009533345 0.009751001 0.0137994075 0.009228626 0.010534564 0.009576877 0.011144001 0.009794532 0.010447501 0.010665158 0.017934877 0.011013407 0.00970747 0.008227407 0.01314644 0.008270939 0.009402751 0.00831447 0.015410065 0.009272157 0.008880376 0.008706251 0.011361658 0.008009751 0.009925126 0.007835626 0.013233501 0.008009751 0.00866272 0.008836845 0.011535782 0.009446283 0.008227407 0.0079226885 0.0108828135 0.008880376 0.011971096 0.008619188 0.011318127 0.00901097 0.009968657 0.008793314 6.554578 0.0 0.0 0.0 14.0 965054.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 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 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05323353 0.0028706589 0.0020049047 0.0019303419 0.002317653 0.08952479 0.0015885968 0.0016838713 0.015285326 0.0050847526 0.010467756 0.0013586957 0.0020504706 0.0017646474 0.0011950722 0.0017273661 0.002317653 0.0015078208 0.001476753 0.0012862043 0.0019199861 0.028199147 0.0014146175 0.0015119632 0.004065731 0.001659017 0.0035582914 0.0013876922 0.0017542915 0.0053767897 0.0015637428 0.0013524821 0.011822309 0.001340055 0.0012364959 0.0012137129 0.002079467 0.011642116 0.001567885 0.0014560412 0.0012468518 0.0016776577 0.0012302824 0.0013421262 0.0013939057 0.0013214144 0.0012012857 0.0013566244 0.010084587 0.0024253547 0.0027753843 0.0032993935 0.023990506 0.010780504 0.0015161055 0.0066277836 0.0050143325 0.013073304 0.0016072375 0.0019634808 0.0029037977 0.020082185 0.0013379839 0.0015140343 0.002203738 0.022014597 0.0014581124 0.0019303419 0.0027774556 0.014030189 0.0025951916 0.0014166888 0.0025247713 0.0017190814 0.0013276279 0.0012282112 0.0017045831 0.010175719 0.0012654924 0.0012406382 0.0024812764 0.011399788 0.0014518988 0.0016880137 0.002794025 0.0018682065 0.0017294373 0.0017045831 0.0013504109 0.0019386268 0.009264399 0.0012219977 0.0012965602 0.012058424 0.0013731939 0.0014001193 0.012360817 0.01531018 0.001613451 0.024999171 0.0039435313 0.013866566 0.00770687 0.0018019287 0.001714939 0.0020898231 0.0015906681 0.0014187599 0.0017522203 0.0016714442 0.0016962984 0.0019199861 0.0018537083 0.0051696715 0.0020152605 0.0016921561 0.0031192007 0.017509775 0.019454617 0.003688776 0.0012613501 0.0013711228 0.0011205097 0.0012054282 0.0014353294 0.0017853592 0.001135008 0.0012820619 0.0014953937 0.0016859425 0.0012986313 0.0028416621 0.0015409597 0.0044033336 0.0010728724 0.0011888586 0.0015906681 0.002690466 0.0016921561 0.0046270215 0.0013214144 0.0020815383 0.0012074993 0.0013649092 0.0014850377 0.0014291159 0.0012074993 0.0012302824 0.0012074993 0.0015575292 0.0013152008 0.0011205097 0.0017563626 0.001601024 0.0013338415 0.001487109 0.017248807 0.0017460068 0.015125845 0.0017087255 0.009326534 0.0013027737 0.0011950722 0.0011867875 0.0011515775 0.0011557197 0.0010231641 0.001010737 0.0010956555 0.0013359126 0.008491848 0.0011743604 0.001157791 0.0012054282 0.00835515 0.0010086658 0.0078477105 0.012275898 0.0012509942 0.0011453639 0.001487109 0.0011826451 0.0014560412 0.0011598621 0.0017025119 0.0073050605 0.0013876922 0.0016072375 0.0013980481 0.0014850377 0.0015161055 0.0015098919 0.013392265 0.0054679215 0.0013421262 0.0020421857 0.0015016072 0.0013918346 0.0015078208 0.0015761699 0.0014394717 0.0014705395 0.0012468518 0.0013276279 0.012789551 0.0014394717 0.001395977 0.0014001193 0.001294489 0.0013296991 0.0012696348 0.0012779195 0.0012965602 0.0013421262 0.0010273064 0.0012364959 0.0016279494 0.0012799908 0.0012427095 0.001147435 0.0013669804 0.0012468518 0.0011432926 0.0011640046 0.0016921561 0.0012841331 0.0014726106 0.001395977 0.0014436141 0.0012427095 0.0012675637 0.0012219977 0.0026635407 0.0013669804 0.0014456853 0.0016300206 0.001613451 0.001248923 0.009908536 0.001135008 0.0012862043 0.0010997979 0.0010935843 0.0013835499 0.0013524821 0.0012095706 0.0014891801 0.0015471732 0.0014353294 0.0012323535 0.0010521606 0.0011598621 0.0015616715 0.0014933225 0.0015968817 0.0136366645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032029173 0.00010596742 0.000112200796 3.116689e-05 0.00019323471 6.233378e-05 8.41506e-05 8.5189495e-05 5.6100398e-05 5.4022606e-05 9.350067e-05 2.0777925e-05 1.8700133e-05 4.2594747e-05 2.493351e-05 6.752826e-05 0.001532372 6.960605e-05 7.687832e-05 7.272274e-06 0.00012882314 2.9089097e-05 3.636137e-05 5.298371e-05 2.5972407e-05 6.2333775e-06 8.103391e-05 1.0388962e-05 1.2466755e-05 2.5972407e-05 1.3505652e-05 1.8700133e-05 0.0044558262 2.493351e-05 8.31117e-05 0.00054542057 0.00087786734 0.00049451465 0.001031624 0.00062541553 0.000107006315 1.5583444e-05 3.0127992e-05 9.350067e-06 3.0127992e-05 2.9089097e-05 3.0127992e-05 0.00012051197 0.0025962018 0.00019219582 0.000360497 0.0001412899 0.00031686336 0.00023894614 0.0014928939 0.000731383 9.6617354e-05 3.4283577e-05 2.2855718e-05 3.324468e-05 4.986702e-05 2.8050199e-05 2.7011303e-05 2.0777925e-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 0.0029712433 0.00020985705 0.00037919715 0.0003314079 0.0006347656 0.00044984207 0.0014949717 0.0007438497 0.00016518451 0.00015583444 0.00011531749 0.0002233627 0.000118434175 0.00010908411 9.142287e-05 0.00031686336 0.00528071 0.00090799533 0.00046126996 0.00090695644 0.0008737118 0.00040413064 0.0013505651 0.00091422873 0.00070541055 0.00046438663 0.00026076296 0.00059424865 0.00046230885 0.00034699135 0.00032725232 0.0006326878 0.0495086 0.014642204 0.010244556 0.023007397 0.010405585 0.004048579 0.016216133 0.017464885 0.0071683843 0.007580826 0.0031883726 0.0078062667 0.0044038813 0.0033899185 0.003968584 0.0041898685 0.08788959 0.029374791 0.020417428 0.05866128 0.035914645 0.03142246 0.048801113 0.02973529 0.0124927275 0.029521277 0.026013963 0.02443588 0.02849173 0.009528757 0.019166598 0.018770779 0.03598529 0.014970495 0.010894905 0.025260763 0.020403923 0.017990567 0.024879487 0.014710771 0.01132397 0.014855178 0.011444481 0.012679729 0.01726334 0.0068276264 0.008438954 0.009517329 4196.0 6.5433745 27456.0 0.050553612 0.0024402682 0.0033872377 0.0026587995 0.0031322844 0.022727273 0.0032051282 0.0028409092 0.0024038462 0.003314394 0.0021124708 0.0028044872 0.0025859557 0.0033508157 0.0030230186 0.0034965035 0.01963141 0.003678613 0.0034965035 0.018611597 0.040756118 0.01048951 0.0032051282 0.019449301 0.009979604 0.03354458 0.0032415502 0.0029137528 0.0039699883 0.023564978 0.002877331 0.0027680653 0.0040064105 0.036276225 0.0029137528 0.0048076925 0.005390443 0.035584208 0.003678613 0.003715035 0.003277972 0.0041520977 0.0032415502 0.0024402682 0.0036057692 0.01850233 0.0024766899 0.0022581585 0.005754662 0.047494173 0.0031687063 0.005317599 0.0039335666 0.0033508157 0.0038971445 0.004916958 0.0024038462 0.0030594405 0.015807109 0.0022581585 0.0022581585 0.011837121 0.0028044872 0.0024402682 0.010598776 0.027025059 0.0038971445 0.072625294 0.006118881 0.037259616 0.032342657 0.0043342076 0.0032051282 0.009651806 0.0023674243 0.0027680653 0.007102273 0.0050262236 0.009578963 0.010780886 0.0051354896 0.016171329 0.009214744 0.007976399 0.011946387 0.046620045 0.057437353 0.007320804 0.0025859557 0.0033508157 0.0028409092 0.0020760489 0.0030594405 0.0024766899 0.0014932983 0.0023674243 5.7049055 0.0 0.0 0.0 4.0 482816.0 495616.0 0.0 0.0 97.0 0.0 1.0 0.0 0.0 0.0 1449987700.0 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 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 9.0 0.0 5.0 1.0 5.0 1.0 280064.0 1024.0 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 88576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -280064.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.127139 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9654922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7104387 0.0 6.732629 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -279822.0 0.0 65496.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 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 -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 1.0 1.0 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 -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 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 -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 -1.0 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 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 -1.0 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 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 372804.0 65496.0 430080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 404.0 286720.0 0.0 0.0 0.0 0.0