Input: 0.27989426 0.013495155 0.007940574 0.0050578527 0.012616328 0.0030256545 0.0048512365 0.003093583 0.0064178403 0.0044450797 0.0069386265 0.002793565 0.006013099 0.0028445113 0.002282685 0.003714847 0.0040205256 0.0020321982 0.0018949257 0.0015170728 0.0024185423 0.0019161535 0.0014491441 0.0010528938 0.002189283 0.0009906258 0.0009807196 0.00095524633 0.0016458541 0.00092694274 0.0010925188 0.0011194072 0.022634385 0.0012722466 0.0029534802 0.000771273 0.003723338 0.0013231931 0.0015184879 0.0008873177 0.0045356513 0.0029181007 0.0020166312 0.0017307649 0.0037516416 0.0019557786 0.004910674 0.0015538674 0.007841512 0.0021595643 0.0019982338 0.004784723 0.0019430418 0.0014845236 0.0014590503 0.0012071483 0.0019387963 0.0019444571 0.0022303234 0.003228025 0.0015156575 0.0029393283 0.0013316842 0.0014887691 0.0025996852 0.0025444932 0.0018864346 0.0035605924 0.0031615116 0.006185751 0.0031063196 0.0017067068 0.0022841003 0.0028176229 0.0010288357 0.00087882666 0.0018439792 0.003494079 0.002077484 0.0015397156 0.0052715447 0.0019458722 0.0021921135 0.0045073475 0.0027454488 0.0028317748 0.0034898333 0.0031586813 0.0013033806 0.0038238158 0.0008618445 0.0015467915 0.0011194072 0.0021072028 0.0018666221 0.0028374356 0.0022218323 0.012272439 0.003383695 0.008283047 0.007851417 0.022615988 0.004964451 0.0046149013 0.0058503533 0.013053618 0.0029322526 0.0022628724 0.008339655 0.005087571 0.013456944 0.016107576 0.0064758626 0.00082788017 0.014457476 0.011896001 0.021738576 0.010894054 0.00342332 0.0038139096 0.0019628543 0.0031855698 0.0010769519 0.0019515329 0.0014180101 0.0028445113 0.0012821528 0.001007608 0.0023435378 0.0016090594 0.0011816751 0.0069457022 0.0016062291 0.003958258 0.0010882732 0.0008689204 0.0021312607 0.0046700933 0.0011986573 0.011264831 0.0010104383 0.004747928 0.00079674623 0.00086609 0.0021850376 0.0007132506 0.00074438454 0.00077410333 0.0009934562 0.00078259443 0.00068070146 0.00051512546 0.0008024069 0.00075287564 0.0006042818 0.000558996 0.00077410333 0.0005816389 0.00068777736 0.0007203265 0.0008476927 0.00094392494 0.00073164795 0.00087175076 0.0010444027 0.0009892107 0.0008094828 0.00070475956 0.0009623222 0.00071042025 0.0006113577 0.00074438454 0.0008604293 0.0008476927 0.00072315685 0.00071042025 0.0008590141 0.0007061747 0.0006170184 0.000700514 0.00083637127 0.00082646497 0.00095666153 0.0012396974 0.0013571574 0.0008208043 0.00072315685 0.000755706 0.0008547686 0.0007910855 0.00094817043 0.0008604293 0.0041054366 0.0019119079 0.0013670637 0.002895458 0.0028671543 0.0008165587 0.002101542 0.0022006046 0.0016359478 0.0014066887 0.000881657 0.0009382642 0.0024298637 0.00082646497 0.0011448804 0.00090713025 0.0011675233 0.0009793044 0.00094958564 0.001007608 0.00092269725 0.00075287564 0.0009382642 0.00084344717 0.0011675233 0.0007925007 0.0007797641 0.0011321438 0.00095807674 0.0007571212 0.00090713025 0.0008179739 0.0016557603 0.00095666153 0.0008236346 0.0009113758 0.0013514967 0.00070475956 0.0007726882 0.0008094828 0.008530703 0.0017463318 0.0008208043 0.0024270334 0.0023095733 0.00072315685 0.0007274024 0.00078117923 0.0023661805 0.0009453401 0.0007061747 0.0010104383 0.0014052736 0.00074013905 0.0016968006 0.0018864346 0.0031997215 0.0015552826 0.0019472874 0.0022614573 0.003085092 0.0011618626 0.0024694887 0.024617052 0.030428639 2.8347242e-06 7.795492e-06 2.8347242e-06 8.504173e-06 1.4173621e-06 1.6299664e-05 7.795492e-06 0.0 0.0 0.0 7.0868106e-07 0.0 2.1260432e-06 0.0 0.0 0.0027510999 8.504173e-06 3.5434052e-06 3.6851416e-05 1.7717026e-05 7.0868105e-06 4.039482e-05 1.0630216e-05 2.8347242e-06 2.1260432e-06 0.0 4.2520865e-06 2.1260432e-06 3.5434052e-06 3.5434052e-06 8.504173e-06 0.003988457 1.4173621e-05 2.9055924e-05 7.582887e-05 3.0473286e-05 1.7008346e-05 7.157679e-05 4.039482e-05 7.795492e-06 7.795492e-06 9.921535e-06 7.0868105e-06 7.0868105e-06 9.212854e-06 9.921535e-06 2.8347242e-05 0.00757084 6.448998e-05 0.00011409765 9.425458e-05 0.00011197161 5.7403166e-05 0.00039190063 0.00020126541 1.7717026e-05 1.7717026e-05 9.212854e-06 1.2756259e-05 1.1338897e-05 9.921535e-06 9.212854e-06 1.4173621e-05 0.0048509217 5.24424e-05 9.35459e-05 0.00018496576 7.653755e-05 5.8111847e-05 0.00025725123 0.00012472787 9.212854e-06 1.2047578e-05 1.2756259e-05 8.504173e-06 2.4095156e-05 1.346494e-05 1.1338897e-05 1.5590984e-05 0.002332978 1.4173621e-05 4.039482e-05 5.456844e-05 0.00014527961 2.4803838e-05 0.00014386226 6.378129e-05 1.1338897e-05 9.212854e-06 6.3781295e-06 9.921535e-06 1.2047578e-05 8.504173e-06 9.921535e-06 1.5590984e-05 0.03434339 0.00030544153 0.001917691 0.0005853706 0.0009793972 0.00026221198 0.009541682 0.0044568954 0.00027992902 0.00014457093 0.00018425708 6.803338e-05 0.00018071367 6.73247e-05 0.00020339146 0.00018071367 0.12028798 0.0013734238 0.012504677 0.0040671206 0.0044221696 0.0025781817 0.04904569 0.027598875 0.0010786125 0.00063143484 0.0011190074 0.00030544153 0.00094112847 0.00032670196 0.00091774197 0.00066828623 0.015559801 0.0007079724 0.016896375 0.0031111098 0.0051251813 0.004259882 0.032595783 0.018153574 0.0005945834 0.0002685901 7.2994146e-05 9.638062e-05 0.0001792963 0.00015945324 0.00013535809 0.00077742315 0.03794633 0.0030147291 0.008569371 0.0035349012 0.0048112357 0.0040182215 0.017444894 0.010447376 0.0011884582 0.0012274355 0.00054781046 0.0005137938 0.00069734216 0.0007639582 0.00057403167 0.0019424948 0.02172391 0.0013422419 0.00226211 0.0015739807 0.0022876225 0.0019155649 0.004955807 0.0030402418 0.0011877494 0.00092199404 0.00069379876 0.00065623864 0.00093333295 0.00064560847 0.00072072865 0.0030345723 0.013496831 0.0016044539 0.0012699565 0.005317234 0.0014591743 0.0012827127 0.0017922544 0.0013379898 0.0014003537 0.0008929381 0.00091774197 0.0008978989 0.0011523154 0.0009588455 0.0010566434 0.0028985054 0.0093134865 0.0012791693 0.0012394831 0.0012649957 0.000884434 0.0007703363 0.0016271317 0.0013436592 0.0013068079 0.0008086051 0.00089506415 0.0009347503 0.0010729431 0.00092128536 0.00090356835 0.0030104772 0.021271061 0.0035589964 0.0028956707 0.0039757006 0.0056070844 0.007429812 0.0028914188 0.004987697 0.012166636 0.0013032645 0.0013868888 0.00235353 0.006628294 0.00220825 0.005657401 0.011469294 0.03349723 0.008061956 0.005767955 0.010492023 0.010093744 0.01434583 0.007408552 0.011302754 0.022151245 0.0018624138 0.0025158178 0.0030756758 0.011776153 0.003826169 0.010948414 0.021393664 0.0052980995 0.004821866 0.004910451 0.0051762066 0.00469076 0.0046319393 0.0052378615 0.005253453 0.00494872 0.0047765104 0.004759502 0.0049246247 0.0048544654 0.0049692714 0.004923916 0.005648188 4028.0 29.659384 119468.0 0.07560183 0.0016824589 0.010705796 0.0005189674 0.0013141595 0.0012890481 0.0026199485 0.0009123782 0.01211203 0.011860916 0.0023772055 0.0029798774 0.01248033 0.0021679446 0.02004721 0.0043777414 0.006980949 0.004620484 0.0030133591 0.0051561925 0.00246091 0.0022683898 0.002929655 0.0016489772 0.0017494224 0.002477651 0.006679613 0.0065038335 0.0022265376 0.010613721 0.0020591288 0.0019084609 0.0019419426 0.007240433 0.0030133591 0.011149429 0.0067130947 0.0062192385 0.0044028526 0.0031472864 0.0033398066 0.009199116 0.00082030334 0.0011718619 0.0039424784 0.004478187 0.004779523 0.0040931464 0.006001607 0.0028292094 0.0061606457 0.012848629 0.007901697 0.0036411425 0.0035072153 0.0049134498 0.0019168312 0.002745505 0.001004453 0.0022683898 0.0018331269 0.0022767603 0.0007617102 0.008010513 0.0023939465 0.040069308 0.0110238725 0.025839556 0.021679446 0.078657046 0.014095825 0.014773831 0.015476948 0.04276459 0.0019921653 0.0033063246 0.028492985 0.014522717 0.04616299 0.045886766 0.015359761 0.0011300097 0.04611277 0.035114005 0.064385444 0.018582381 0.0076338435 0.006738206 0.0045116683 0.008981485 0.0024860213 0.0045284093 0.0018331269 0.0040429235 0.00030970637 0.0004938561 5.574324 0.0 25.0 0.0 9.0 706624.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 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 -6656.0 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 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.37333527 0.016068326 0.0064779967 0.009337001 0.011653156 0.005645628 0.008359873 0.002931384 0.0036913722 0.0030761436 0.006224667 0.0024971047 0.0030037637 0.0039085117 0.0017733063 0.003329473 0.003763752 0.0011942675 0.000940938 0.003293283 0.0025332947 0.0020628257 0.001881876 0.0018094962 0.0020628257 0.00079617836 0.0017009265 0.0012304574 0.0016285466 0.0024971047 0.0013752171 0.0013028373 0.017298784 0.0015561668 0.0015199769 0.00075998844 0.00477707 0.0025332947 0.001990446 0.002352345 0.002822814 0.000940938 0.0015199769 0.0021713956 0.0120874345 0.0030761436 0.006297047 0.0021352055 0.025803417 0.011146497 0.0045237406 0.003293283 0.001411407 0.0012304574 0.0008685582 0.0013390272 0.0015923567 0.0016285466 0.0020628257 0.0012666474 0.0013752171 0.0009047481 0.00083236827 0.00079617836 0.0030761436 0.0061160973 0.00075998844 0.0030399538 0.0070570353 0.0026418646 0.0020990157 0.003329473 0.011436016 0.0047408803 0.00036189923 0.0009771279 0.0030399538 0.0015199769 0.003872322 0.0008685582 0.008106543 0.0005428489 0.0013028373 0.0040532714 0.0024971047 0.0044151708 0.0010856978 0.0013028373 0.0032570933 0.000470469 0.0014475969 0.00068760855 0.0017733063 0.0009047481 0.0008685582 0.0026780544 0.0010133178 0.011399826 0.0016285466 0.0069484655 0.00470469 0.016647365 0.002859004 0.0036913722 0.003401853 0.01425883 0.00072379847 0.0009047481 0.0069122757 0.0070570353 0.010495078 0.0115807755 0.0047408803 0.0005790388 0.009952229 0.0070208455 0.015670238 0.0053922986 0.0015199769 0.0015923567 0.0015199769 0.0025332947 0.0022437754 0.0005428489 0.0005428489 0.0005428489 0.00072379847 0.00079617836 0.0055732485 0.0019180661 0.0030037637 0.0040894616 0.0012304574 0.0019180661 0.0027866242 0.0005066589 0.00065141864 0.0032209032 0.00072379847 0.0057903877 0.0005790388 0.0019542559 0.000470469 0.0002895194 0.000940938 0.0004342791 0.0006152287 0.0005428489 0.00075998844 0.0005066589 0.00065141864 0.0004342791 0.0004342791 0.0005066589 0.00036189923 0.0004342791 0.0005790388 0.0004342791 0.00036189923 0.0004342791 0.0012666474 0.0006152287 0.0005428489 0.00068760855 0.0005428489 0.00036189923 0.0005790388 0.000470469 0.0012666474 0.00075998844 0.000940938 0.0004342791 0.00039808918 0.00036189923 0.0004342791 0.0005066589 0.0009047481 0.0006152287 0.00039808918 0.0005066589 0.00068760855 0.00032570932 0.000470469 0.0005790388 0.00079617836 0.0005790388 0.00072379847 0.00065141864 0.0006152287 0.0005790388 0.0002895194 0.0005066589 0.0030761436 0.00075998844 0.0012304574 0.0022437754 0.0018094962 0.00068760855 0.00068760855 0.0008685582 0.001411407 0.0010495079 0.0009047481 0.0005428489 0.0031123336 0.00083236827 0.0008685582 0.00065141864 0.0008685582 0.0010495079 0.0009047481 0.0005428489 0.0005428489 0.0004342791 0.0004342791 0.00079617836 0.0008685582 0.00072379847 0.0005066589 0.00075998844 0.00065141864 0.00068760855 0.0006152287 0.0006152287 0.000940938 0.0005428489 0.0005428489 0.0004342791 0.0017009265 0.0002895194 0.0004342791 0.00032570932 0.0044513606 0.0009047481 0.00083236827 0.0010856978 0.0017371164 0.00039808918 0.00068760855 0.0005066589 0.0016285466 0.0008685582 0.000940938 0.000940938 0.0010495079 0.0008685582 0.00018094962 0.0017009265 0.0010133178 0.0009047481 0.0005790388 0.00075998844 0.00072379847 0.00065141864 0.0006152287 0.010712218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034960937 0.00072265626 0.0001171875 0.00013671875 0.00025390624 0.00013671875 0.00078125 0.000390625 0.00095703127 0.0001171875 0.0001171875 0.0002734375 0.0001953125 7.8125e-05 0.0006445313 0.0001171875 0.033691406 0.001640625 0.001015625 0.00017578126 0.000234375 0.00033203125 0.00056640623 0.00021484375 0.00091796875 0.00013671875 7.8125e-05 0.0001171875 0.00033203125 0.00021484375 5.859375e-05 0.0002734375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.115546875 0.0015820313 0.008378906 0.0016992188 0.0050585936 0.0043359376 0.039765626 0.014335938 0.002734375 0.0003125 0.000390625 0.0002734375 0.00056640623 0.0001171875 7.8125e-05 0.004824219 0.13625 0.0041601565 0.017402343 0.017832031 0.0065429686 0.00671875 0.025664063 0.011992187 0.003125 0.00060546875 0.000390625 0.000625 0.0019726562 0.00048828125 0.0015039062 0.0047265626 0.049648438 0.0013671875 0.0125 0.01658203 0.01 0.0059375 0.013632813 0.007421875 0.00060546875 0.0001171875 0.0002734375 0.00017578126 0.00021484375 0.00013671875 0.0005078125 0.0008789062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.038398437 0.0023242189 0.0042382814 0.0016601563 0.0069335937 0.0017382812 0.0017578125 0.0019726562 0.0067578126 0.0006640625 0.0006640625 0.00083984376 0.0043945312 0.0015234374 0.0026953125 0.0034375 0.014746094 0.001484375 0.001484375 0.0022851562 0.0075 0.0033203126 0.0026953125 0.00203125 0.00091796875 0.00044921876 0.0006445313 0.0002734375 0.00056640623 0.00041015624 0.000546875 0.0006445313 0.019355468 0.0039453125 0.0043945312 0.0027929686 0.0115625 0.00265625 0.0013085938 0.0026171876 0.011074219 0.00056640623 0.0003515625 0.0012304687 0.0075 0.0019335938 0.005019531 0.0036914062 0.029550781 0.010664063 0.013964844 0.016191406 0.007441406 0.009570313 0.020332031 0.014980469 0.0065234373 0.0040429686 0.00484375 0.0043359376 0.004355469 0.004550781 0.0041210935 0.00453125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 213.0 21.11737 4498.0 0.036905292 0.00022232103 0.0011116052 0.00044464206 0.00644731 0.0006669631 0.0017785683 0.0046687415 0.0008892841 0.00044464206 0.00022232103 0.0011116052 0.06891952 0.015117831 0.029568696 0.010449088 0.11582926 0.05646954 0.016007114 0.008892842 0.0033348154 0.0042240997 0.0022232104 0.0035571365 0.0031124945 0.007114273 0.0046687415 0.00022232103 0.0031124945 0.0017785683 0.0024455313 0.0006669631 0.0011116052 0.021120498 0.00044464206 0.010004447 0.026678523 0.0035571365 0.0015562472 0.015340151 0.0028901733 0.016229436 0.0 0.0008892841 0.0013339262 0.0008892841 0.014450867 0.0006669631 0.017785683 0.00022232103 0.0031124945 0.01067141 0.0075589153 0.0013339262 0.0024455313 0.0006669631 0.014673188 0.0 0.0042240997 0.0 0.0006669631 0.00022232103 0.0015562472 0.009337483 0.00044464206 0.02801245 0.0042240997 0.02378835 0.01089373 0.04357492 0.0042240997 0.008003557 0.008225878 0.028679414 0.0008892841 0.0015562472 0.01289462 0.02178746 0.027123166 0.02134282 0.01089373 0.0006669631 0.029791018 0.025122277 0.04535349 0.008892842 0.0051133838 0.006002668 0.0046687415 0.010449088 0.0020008893 0.00022232103 0.00022232103 0.00022232103 0.0 0.00044464206 5.3795733 0.0 15.0 0.0 2.0 27632.0 40960.0 1.0 0.0 26.0 1.0 1.0 1.0 0.0 0.0 1543368800.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3584.0 1024.0 4096.0 7.0 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 2560.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6841838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.276127 0.0 0.0 0.0 0.0 3.6348433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.96903336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.470996 0.0 4.02725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2416.0 0.0 0.0 0.0 0.0 396.0 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 -3411.0 0.0 11840.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 9620.0 11840.0 24576.0 396.0 16384.0 6128.0 21504.0 20.0 36864.0 28.0 8528.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8560.0 0.0 0.0 232.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.14532879 0.020218492 0.023653006 0.010690432 0.015979651 0.0068130293 0.018759163 0.0062089353 0.0062089353 0.00552339 0.01624267 0.0025877634 0.0030442278 0.004386471 0.0033870004 0.0021991746 0.0030951346 0.005876344 0.006612796 0.0036958351 0.002224628 0.0027795124 0.0035600837 0.0031952513 0.0026963647 0.001873371 0.0019785785 0.002112633 0.0023960143 0.0024282553 0.002099058 0.0023434106 0.01623758 0.0022619597 0.00577453 0.002418074 0.001968397 0.002609823 0.002161843 0.001472904 0.008274055 0.0023654702 0.00545212 0.0026539422 0.0031307694 0.0033089432 0.0032767022 0.0032699148 0.0031850701 0.0028524788 0.0023943174 0.0024078926 0.0021550553 0.0018750678 0.0021177237 0.0015713238 0.002034576 0.0019599125 0.0028524788 0.0016256245 0.003538024 0.003459967 0.003410757 0.0016035648 0.0020719075 0.0027964814 0.0024044989 0.0034854203 0.002672608 0.0027167273 0.0023468044 0.00184113 0.0019904566 0.002945808 0.0021889932 0.0024927373 0.0026064292 0.0027795124 0.0019785785 0.0022806255 0.0022975944 0.0015967772 0.0025232814 0.003427726 0.0030493184 0.0020362728 0.0021160268 0.00184113 0.002799875 0.0025690976 0.0019972443 0.0016578655 0.0020226976 0.001408422 0.0015611425 0.0027455746 0.0016901065 0.0085642245 0.0033513657 0.0047479095 0.006405775 0.018007439 0.0031188913 0.004837845 0.003926613 0.008876452 0.0016731375 0.00233832 0.007093017 0.0046070674 0.009648539 0.020795437 0.00619536 0.0016561686 0.009750353 0.009443215 0.0130609935 0.0047156685 0.0021635399 0.0024706777 0.0031833733 0.003841768 0.0020091224 0.0076580825 0.001888643 0.003346275 0.0018971275 0.0012132792 0.0033853035 0.002864357 0.0021380864 0.0016867126 0.0014542382 0.0017613759 0.0029542926 0.0014559351 0.0016646531 0.0017613759 0.0014440567 0.0016985909 0.0018937337 0.0017664667 0.0015119326 0.0018021014 0.0017478009 0.001776648 0.0019412468 0.0014491475 0.0017630729 0.0017240443 0.0017579822 0.0017376195 0.0016069586 0.0016985909 0.0018648865 0.0015492642 0.0014830853 0.0015560518 0.001440663 0.0013320618 0.0016408965 0.0016442903 0.0019480343 0.0016968941 0.0018920368 0.0015509612 0.0017070754 0.0015916866 0.0016663499 0.0017155599 0.0015611425 0.0015747177 0.0014321785 0.001601868 0.0015170232 0.0014779947 0.0013337587 0.0015153263 0.001520417 0.0019123995 0.0015679301 0.0015543549 0.0010317116 0.0011963103 0.0011233438 0.0014661164 0.0013303648 0.0011946134 0.0011708569 0.0014219972 0.0011437066 0.0011403128 0.0016188369 0.0013710903 0.0015407797 0.0015492642 0.0015475673 0.001713863 0.002080392 0.0015068419 0.0016782281 0.0017342257 0.0015899896 0.0014915698 0.0015747177 0.0014542382 0.0015187202 0.0014474506 0.00184113 0.0015136295 0.002017607 0.0015000543 0.0016544716 0.001408422 0.0015560518 0.0014270878 0.0015017512 0.0014067251 0.0012777612 0.0011487972 0.0015272046 0.0013659997 0.0014355723 0.001153888 0.0011589786 0.001537386 0.0012811549 0.0015984741 0.001584899 0.0015153263 0.0017325288 0.0015136295 0.0013269711 0.0015662331 0.0015017512 0.0014287848 0.001167463 0.0011895227 0.0012523078 0.0012098855 0.0013405463 0.0015509612 0.0013744842 0.0014033313 0.0017545884 0.0016103524 0.0011131625 0.0010452867 0.0012760643 0.0014576319 0.0019599125 0.0015305984 0.0016307151 0.0012370357 0.0021109362 0.09506679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014444278 0.0002449913 0.00018799679 0.0001497169 0.00020586074 0.00015652222 0.00019310077 0.00018884745 0.00017863949 0.00017949015 0.00016502886 0.00022032202 0.0003351617 0.00038109755 0.0005189052 0.019640135 0.008220819 0.00054782775 0.00048062528 0.00034536966 0.0008897947 0.0006652194 0.0036365895 0.0014384731 0.00037429226 0.000336863 0.00049763854 0.00039130554 0.0006388488 0.00061247824 0.00069924595 0.03248942 0.028590824 0.00096550386 0.0019088904 0.0009944264 0.006612213 0.005076764 0.03380795 0.016889088 0.00090936 0.0006907393 0.00066436874 0.00081578695 0.00079452037 0.0006243875 0.0006652194 0.037620623 0.08351651 0.0072102295 0.015859783 0.006550965 0.0027748665 0.0028080426 0.026373994 0.0156888 0.0018808185 0.0015345982 0.0010446156 0.0012811003 0.0010012317 0.0011135194 0.00059971825 0.0014929157 0.091590166 0.014578683 0.019824728 0.0060303584 0.0037752476 0.0037003893 0.017435214 0.015251558 0.0043511475 0.0019182478 0.0022389481 0.0014724997 0.0019182478 0.0019956583 0.0010216477 0.004534891 0.020872748 0.002277228 0.0032461346 0.001621366 0.0014878117 0.0011058635 0.0034817685 0.0024022758 0.0019684369 0.0007894164 0.00064480345 0.0005682437 0.0009697572 0.0005767503 0.0007154086 0.0025681553 0.026587509 0.0038824314 0.00386797 0.002546038 0.0021036926 0.0024439583 0.0045867814 0.0035370616 0.0033950007 0.0016502886 0.0008897947 0.00085917086 0.0011560527 0.0009774131 0.001018245 0.0014742011 0.005872986 0.0009000027 0.0008506642 0.0009238213 0.00095614657 0.0005214572 0.00059036096 0.00074262987 0.00052400917 0.00055293174 0.0003615323 0.00027731652 0.00040066283 0.000336863 0.00032155108 0.0015465075 0.004339238 0.00092807465 0.0016970751 0.0012173004 0.0008225923 0.00059801695 0.0011977352 0.001251327 0.00053336646 0.00061503024 0.0004423454 0.00035727897 0.0005044439 0.00036068162 0.00033090837 0.00048402793 0.0021215566 0.00045170268 0.00046701464 0.00046871597 0.0004891319 0.0003615323 0.00063969946 0.00040236415 0.00041682547 0.00036323362 0.00026966055 0.0002662579 0.000347071 0.00032410305 0.00036918826 0.0009527439 0.01697075 0.017082188 0.018260358 0.018231435 0.019551666 0.018287579 0.017778032 0.016737668 0.016785307 0.0178665 0.019063385 0.015162239 0.017413097 0.016488424 0.016361674 0.014963184 4499.0 19.757057 88887.0 0.077120386 0.0016200345 0.022320474 0.0011025234 0.00061876315 0.0009562703 0.0005962627 0.0004612598 0.000517511 0.0013275282 0.00042750908 0.0010912732 0.001968792 0.006693892 0.006727643 0.007976419 0.0031163162 0.002767559 0.0011812751 0.0013387784 0.0011250239 0.0013950296 0.0015075321 0.000990021 0.0011362742 0.0013837795 0.0064238864 0.00091126934 0.011193988 0.012589018 0.011058985 0.001035022 0.00090001913 0.004758851 0.0045113456 0.009911461 0.0064913877 0.00564762 0.0046800994 0.0026775568 0.0027113077 0.0061426307 0.0011475243 0.0049726055 0.004545097 0.0054788664 0.001980042 0.004567597 0.004061336 0.00061876315 0.0043875934 0.011407742 0.008426429 0.0019575416 0.0020137927 0.0034200726 0.0009675206 0.0011025234 0.0005850124 0.00079876697 0.001035022 0.00093376986 0.00027000575 0.010035213 0.0007312655 0.044044685 0.009956461 0.021352954 0.030454397 0.10176966 0.008898939 0.020284181 0.01460281 0.04366218 0.0007762665 0.004905104 0.032636944 0.020520436 0.050198566 0.049321048 0.015547831 0.0015750334 0.045450967 0.037339542 0.068570204 0.018495394 0.004927605 0.009281447 0.012442765 0.01414155 0.001980042 0.0004950105 0.00047251003 0.00052876124 0.0003712579 0.00043875934 5.2993803 0.0 4.0 0.0 11.0 589312.0 614400.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541646500.0 0.0 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 0.0 0.0 0.0 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 -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 6.0 0.0 535552.0 512.0 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 -535552.0 0.0 52736.0 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 -6.664986 0.0 6.7536964 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 -535508.0 0.0 52434.0 0.0 0.0 0.0 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 83.0 543608.0 52434.0 548864.0 0.0 0.0 0.0 0.0 12.0 606208.0 0.0 0.0 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: 0.43877694 0.005405865 0.0038907137 0.005200935 0.0039994675 0.0018458511 0.0013864228 0.0012125651 0.006119792 0.0011038115 0.0011851918 0.0010490649 0.0031420158 0.0015957919 0.0014256333 0.0035666726 0.0033891157 0.0016261245 0.002812056 0.00073464133 0.0013930812 0.0016002308 0.0006281072 0.0005297112 0.0011740945 0.00052453246 0.0004986387 0.0005578243 0.001130445 0.0005637429 0.00063994434 0.000612571 0.0026707505 0.0005267519 0.000567442 0.0005378492 0.0030680338 0.000929214 0.0005134351 0.0005141749 0.0011385831 0.00064142403 0.0004313151 0.0009225556 0.0020751953 0.00060591265 0.00085301255 0.0006081321 0.0033684007 0.0018362334 0.0018325343 0.005658144 0.0018169981 0.0015484435 0.0016623758 0.0015114524 0.0025716147 0.0016853102 0.001780747 0.002664092 0.0022690282 0.0021388198 0.0013183594 0.0012665719 0.0038988518 0.0016261245 0.0015654593 0.0020145301 0.0032618667 0.016374437 0.0033536043 0.001229581 0.0016816111 0.0014123166 0.00071984495 0.0007916075 0.0016660749 0.0027580492 0.00084191526 0.00084857363 0.007425574 0.0016586767 0.0011119496 0.002499852 0.0016971473 0.007310902 0.0020522608 0.0014256333 0.0018458511 0.0030229047 0.001842152 0.0015351267 0.0014774207 0.0019975142 0.001176314 0.000929214 0.0011289654 0.0013427734 0.00075017754 0.0009957978 0.004190341 0.0023541076 0.0013457327 0.00077459164 0.005029297 0.00164462 0.004214755 0.000694691 0.0019886363 0.00088926376 0.0014892578 0.0015166311 0.0013065223 0.00062144885 0.0016357421 0.001295425 0.0041844225 0.0044825696 0.0010683002 0.00089666195 0.0013213187 0.0009536281 0.00070430874 0.0006036932 0.0012798887 0.001327977 0.00072724314 0.0005970348 0.0022091027 0.0015943123 0.00057410036 0.0049397787 0.00250873 0.0090539185 0.0005141749 0.00047052556 0.0012022076 0.0052164714 0.0008145419 0.024228368 0.0012465968 0.016871598 0.00057779945 0.00044315224 0.0013612689 0.0004387133 0.00047644414 0.00039950284 0.00096398557 0.002245354 0.0003869259 0.00036325166 0.0012192235 0.00069247157 0.00044019293 0.000501598 0.0012125651 0.0005415483 0.0004120798 0.0003869259 0.0010705197 0.0018961589 0.0004394531 0.00082120026 0.0010142933 0.0005060369 0.00047718396 0.0004165187 0.0009247751 0.00036621094 0.00046682646 0.0004912405 0.0011792732 0.00039728338 0.0004453717 0.00038914537 0.0014973958 0.00058001897 0.00054302794 0.00071170693 0.0010461056 0.00092403527 0.0004394531 0.0004941998 0.0044145063 0.0017126835 0.0051987157 0.0005578243 0.0010683002 0.00068359374 0.0005267519 0.00060147373 0.0067745326 0.00078346947 0.0009765625 0.0037812204 0.001899858 0.00046756628 0.001702326 0.0012244022 0.0017067649 0.0009055398 0.0004749645 0.00065400096 0.0012843277 0.00046016808 0.00057705963 0.0007057884 0.0017896248 0.00053267047 0.0012258819 0.00066509825 0.0013065223 0.0004535097 0.0006747159 0.0006791548 0.0026922054 0.000982481 0.0005681818 0.0013375947 0.0014862985 0.00048828125 0.00057705963 0.00042835582 0.0021284623 0.0005556049 0.00046016808 0.00066879735 0.001907996 0.0009795218 0.000419478 0.00041799835 0.025213068 0.0017526337 0.0005141749 0.0023215555 0.0031176019 0.00051195547 0.0005082564 0.0005163944 0.0030569367 0.000517874 0.00058297825 0.00055412523 0.0028076172 0.0004387133 0.000847094 0.0020308062 0.004403409 0.00083007815 0.0027084814 0.005352598 0.009098307 0.005686997 0.0065067178 0.06824544 0.3472213 0.0 0.0 2.961524e-06 1.1105715e-06 3.701905e-07 3.3317144e-06 3.701905e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014411516 4.442286e-06 9.995143e-06 5.923048e-06 9.995143e-06 7.40381e-06 1.4437429e-05 8.14419e-06 2.961524e-06 1.1105715e-06 1.480762e-06 3.701905e-07 5.552857e-06 3.701905e-07 7.40381e-07 2.221143e-06 0.0013970989 1.3326858e-05 1.3326858e-05 2.221143e-06 2.0360476e-05 1.0365334e-05 2.0730668e-05 1.3326858e-05 2.961524e-06 1.480762e-06 3.701905e-07 8.14419e-06 5.923048e-06 2.221143e-06 2.221143e-06 2.221143e-06 0.0020119853 1.51778095e-05 1.8879715e-05 6.404296e-05 1.3326858e-05 9.2547625e-06 2.295181e-05 1.3326858e-05 1.4067238e-05 3.3317144e-06 4.812476e-06 9.2547625e-06 1.1475905e-05 9.2547625e-06 7.033619e-06 4.627381e-05 0.0019412789 2.8504668e-05 2.258162e-05 2.1100857e-05 1.7028762e-05 1.4067238e-05 3.220657e-05 2.1100857e-05 1.2586476e-05 9.624952e-06 1.1105714e-05 2.0360476e-05 1.480762e-05 8.514381e-06 1.4437429e-05 8.514381e-05 0.0023629258 8.440343e-05 2.3322e-05 7.588905e-05 9.6989905e-05 5.0345905e-05 6.256219e-05 4.553343e-05 1.5918191e-05 1.2216286e-05 1.07355245e-05 1.9990286e-05 1.51778095e-05 1.9620096e-05 1.6658572e-05 0.00012031191 0.0010783649 6.663429e-06 1.480762e-05 1.9990286e-05 5.2567048e-05 4.3682478e-05 0.00014141276 8.5884196e-05 3.5908477e-05 1.8509525e-06 7.40381e-07 2.221143e-06 1.36970475e-05 6.293238e-06 2.5913334e-06 9.624952e-06 0.002178571 8.995629e-05 9.291781e-05 4.9605525e-05 0.00013808106 4.1461335e-05 7.699962e-05 6.885543e-05 7.699962e-05 1.4067238e-05 1.7398952e-05 2.2211429e-05 3.3317145e-05 1.4067238e-05 4.4052667e-05 7.40381e-05 0.0031495807 5.0716095e-05 8.699476e-05 0.000112537906 0.00079553935 0.00057416543 0.002658708 0.0013600799 9.5509145e-05 1.8509525e-05 1.2586476e-05 2.1841239e-05 5.4418e-05 1.8879715e-05 2.2211429e-05 6.5523716e-05 0.0018950051 0.00020360477 0.00022433544 0.0013904355 0.0018827888 0.0013541568 0.0019612692 0.0013967287 6.7004476e-05 3.072581e-05 2.8504668e-05 3.812962e-05 3.4797904e-05 3.9610382e-05 2.8874858e-05 3.812962e-05 0.003385392 0.00014585505 0.00022248448 0.00069891964 0.0007966499 0.0005049398 0.00052493013 0.00041424314 0.0010091392 0.00019731153 0.00010402353 0.00015659057 0.00018879714 0.00013660028 0.00038388753 0.0017443376 0.0055935783 0.0011361146 0.0012793783 0.013670024 0.001492608 0.0011335233 0.0016443861 0.001366373 0.0018631687 0.0010946533 0.0011287108 0.0011364848 0.0011957153 0.0010039565 0.0015266655 0.0046747653 0.0141349835 0.0015288867 0.0021111963 0.002126374 0.00384776 0.0026128045 0.0025624586 0.0017609962 0.009294002 0.0020497448 0.001313806 0.0025928142 0.001956827 0.0012712341 0.0036123188 0.016973604 0.046263814 0.0061673736 0.0055324966 0.0070165903 0.015603899 0.013659659 0.008674303 0.007635549 0.029710747 0.0044019353 0.0037752027 0.008427757 0.00858916 0.0056035733 0.01739044 0.047332186 0.04608279 0.008774625 0.0067874426 0.009534256 0.019129222 0.018859355 0.011808706 0.008688371 0.03012314 0.004071725 0.004747693 0.00839555 0.012137806 0.0075959386 0.018821225 0.04221319 0.00043460363 0.00017250876 0.00016954725 0.0001636242 0.00016991743 0.00015733096 0.00015288866 0.00013474934 0.0001947202 0.00014215315 0.00015288866 0.00015992229 0.00013660028 0.00016843667 0.00015103772 0.00037167125 3819.0 14.839225 56671.0 0.01600466 0.0013057825 0.0022057137 0.0016234053 0.0027174393 0.0012528454 0.0017292795 0.0026292107 0.005770147 0.00509961 0.0010234511 0.006052478 0.0028233135 0.0019233823 0.010340386 0.0051349015 0.018986784 0.017345732 0.019004429 0.01888091 0.015228247 0.014963562 0.014504774 0.012863723 0.016234053 0.013763653 0.011169734 0.016551675 0.009775723 0.010005117 0.010410968 0.008311129 0.0032115192 0.010957985 0.0067583066 0.010516843 0.008787563 0.011734397 0.007852341 0.009263998 0.0068994723 0.010146283 0.005734856 0.0064406837 0.008946375 0.0091404775 0.008452294 0.007570009 0.010005117 0.026697958 0.008417004 0.017716292 0.011769688 0.007658238 0.010216866 0.012281414 0.007869987 0.009193415 0.007270032 0.0049584443 0.0040938044 0.0049231527 0.004870216 0.0045878845 0.0025233366 0.021368954 0.007693529 0.015192956 0.018457413 0.045049496 0.009863951 0.010216866 0.011999083 0.022533571 0.00596425 0.0083640665 0.025674507 0.012387288 0.022762965 0.024968678 0.009775723 0.0048349244 0.025286302 0.018280955 0.030791763 0.0125637455 0.009122832 0.009069894 0.007340615 0.010605072 0.006264227 0.0031938734 0.0014998853 0.002982125 0.001517531 0.001270491 6.2499423 0.0 0.0 0.0 66.0 1351680.0 450560.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 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 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 373248.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -373248.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.500592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5684614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3348255 0.0 0.0 0.0 0.0 0.0 0.0 -4.3148346 6.8039484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3585.0 0.0 0.0 0.0 0.0 0.0 -28148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -373176.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 6980.0 413696.0 6588.0 442368.0 0.0 0.0 0.0 0.0 18724.0 421888.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.06767662 0.0060976194 0.0041380986 0.004660158 0.005171824 0.004416317 0.004225242 0.0036815966 0.005347709 0.0031803239 0.0031315556 0.0034329589 0.0052853497 0.0044858716 0.0031027745 0.009454628 0.010310869 0.007913235 0.0028589338 0.0027621968 0.003780732 0.0046449676 0.002847741 0.0027566005 0.0039038516 0.0028701264 0.0027581993 0.0028541368 0.003327428 0.0033602065 0.002775788 0.0030148318 0.0042148484 0.0027613973 0.002832551 0.0030380168 0.0042452286 0.003573667 0.0028029701 0.0028117644 0.0034601411 0.0027462072 0.0029804544 0.0034841255 0.0032194983 0.0031331547 0.0027821837 0.002814163 0.0035552792 0.002790978 0.002749405 0.004559424 0.0033122378 0.0033314251 0.0028533374 0.0027861812 0.0034105736 0.0033146362 0.0028045692 0.0034777296 0.0032570737 0.0035720682 0.0027222228 0.0028773218 0.004499463 0.004038164 0.004039763 0.0039814007 0.004373945 0.005727461 0.0046465667 0.0051262537 0.003759146 0.0031059724 0.0029220926 0.0029108997 0.00343136 0.0036040472 0.0029516732 0.003010035 0.004433106 0.0030428136 0.0042947964 0.0038366953 0.0037279665 0.003705581 0.0033034435 0.0032826571 0.0032570737 0.0031763264 0.0026982387 0.0028973087 0.0033122378 0.0034217662 0.0030995766 0.0031227614 0.0035288963 0.0031747275 0.0026790511 0.003042014 0.0035656723 0.0035992505 0.0038838645 0.002770991 0.015569836 0.005160631 0.0033298263 0.0028077671 0.0033450164 0.00315554 0.0032930502 0.0033506127 0.003740758 0.002953272 0.0032898523 0.0034505476 0.0044411006 0.0041029216 0.0028501395 0.0027733895 0.003342618 0.0028933112 0.002970061 0.002795775 0.0033122378 0.003321032 0.0030891835 0.003013233 0.005370894 0.0036879925 0.0029172956 0.005402873 0.0053101336 0.0069994307 0.0030907823 0.0028189598 0.004023773 0.0059489165 0.003068397 0.010865707 0.0031651338 0.005362899 0.0028957096 0.0027566005 0.0034137715 0.0026862465 0.0025775174 0.0027046343 0.0031491444 0.0030691964 0.0027326162 0.002810965 0.0034297612 0.0027054339 0.0027813844 0.0028317515 0.0031803239 0.002946077 0.0028533374 0.0029252903 0.0036648076 0.0042228433 0.0030252251 0.0045058588 0.0031963135 0.0026846475 0.002667059 0.0027470067 0.003544886 0.0028189598 0.002752603 0.0028413453 0.0032314905 0.002906103 0.0028701264 0.0029692617 0.0036544143 0.0028981082 0.0026718557 0.0028453425 0.0032218967 0.0030628005 0.0036935888 0.0030516079 0.0062455228 0.0032586728 0.0028949103 0.0028285536 0.0031467457 0.0030212277 0.003178725 0.002996444 0.005061496 0.0048264493 0.0032043082 0.0051166597 0.0034609407 0.0027294182 0.0036576123 0.0065157465 0.00395182 0.0031315556 0.0030356185 0.002827754 0.0045458325 0.0027398115 0.0029580689 0.0030707954 0.0037999195 0.0029788555 0.0029292877 0.002810965 0.0032362873 0.0026614626 0.0027486058 0.0028805195 0.003670404 0.0029356836 0.0027350145 0.002859733 0.0035504822 0.003083587 0.0028421446 0.0027581993 0.0041524894 0.002881319 0.0027438088 0.00284934 0.00369199 0.0029364831 0.002795775 0.0026750537 0.0053852843 0.004884811 0.0028453425 0.003030022 0.00379912 0.002760598 0.0028373478 0.003028423 0.004217247 0.002842944 0.0027669936 0.0031483448 0.0036264327 0.0031011757 0.003396183 0.003123561 0.0041157133 0.003210704 0.0030843865 0.0036296307 0.004053354 0.0036696044 0.003999789 0.02375969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030233415 0.00012086962 0.00022733094 0.0001861072 0.00047907594 0.0001769019 0.0007356237 0.00053150614 0.00062716124 8.685003e-05 0.00010686155 0.0001324763 0.00018890882 0.00019611296 0.00046186603 0.00091572746 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055019693 0.0007648406 0.00053070567 0.00077764795 0.001303951 0.0012175012 0.0008821081 0.0011214459 0.002802014 0.00034499873 0.00031818327 0.00055151765 0.0013920018 0.00049468497 0.0014088114 0.002718766 0.04293593 0.014008869 0.006999632 0.0075403433 0.012716125 0.009749616 0.013651463 0.007041256 0.019586481 0.005454742 0.007524334 0.008376825 0.0121125765 0.005905802 0.008292376 0.018103627 0.06577389 0.04715316 0.0416676 0.04199299 0.04532851 0.042095847 0.04636831 0.04071265 0.04955054 0.040341638 0.042040616 0.042802654 0.045911245 0.041240554 0.04204982 0.0479208 4583.0 7.029893 32218.0 0.01862313 0.0061766715 0.007511329 0.006952635 0.008225216 0.008504563 0.006921597 0.008225216 0.008939102 0.0073871748 0.007045751 0.007604445 0.0072630206 0.006890558 0.008566639 0.0078217145 0.00900118 0.0074182134 0.0072630206 0.00834937 0.0076975604 0.008070023 0.007573406 0.007045751 0.0069836737 0.008535601 0.00791483 0.008038985 0.008690794 0.007976907 0.007790676 0.007635483 0.008814949 0.008628717 0.007790676 0.009435719 0.009590912 0.008939102 0.011701534 0.009311565 0.009187411 0.008163138 0.0070147123 0.006673288 0.009187411 0.008225216 0.007883792 0.00791483 0.010118567 0.008163138 0.007449252 0.010646222 0.010180645 0.007728599 0.008908064 0.0093736425 0.0085976785 0.0073871748 0.007604445 0.0067353654 0.009901297 0.006952635 0.007107828 0.01027376 0.0089701405 0.019461172 0.00900118 0.016171085 0.015270966 0.033087093 0.009497796 0.010863492 0.022347756 0.026289651 0.009249488 0.0074182134 0.0162642 0.017009126 0.020516481 0.025979266 0.014743311 0.01241542 0.023216836 0.024799801 0.024458377 0.012384381 0.009590912 0.007790676 0.009870259 0.010459991 0.008752871 0.0072630206 0.008628717 0.008163138 0.0071388665 0.008690794 6.4449987 0.0 2.0 0.0 14.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994069 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.15799218 0.021660157 0.0059179687 0.007667969 0.010796875 0.004082031 0.00265625 0.0022734376 0.013921875 0.0016367187 0.0021132813 0.004484375 0.009417969 0.0019257813 0.0015585937 0.010976562 0.022 0.001171875 0.0010625 0.00085546874 0.00321875 0.0029179687 0.0011015625 0.00059375 0.00265625 0.00071875 0.00065625 0.001484375 0.0016367187 0.0006445313 0.0010039062 0.001265625 0.004464844 0.00082421873 0.00054296874 0.0013046875 0.0090039065 0.0015859375 0.00047265625 0.00062890624 0.0017265625 0.0006953125 0.00061328127 0.0021484375 0.00087109377 0.0026601562 0.0013632813 0.0004921875 0.0027148437 0.0013046875 0.0011601562 0.0064375 0.0012421875 0.0017070313 0.0009960937 0.00078125 0.001609375 0.001390625 0.0014570312 0.0036601562 0.0014492187 0.0019570312 0.0011054687 0.0015976563 0.00528125 0.0030976562 0.0020898439 0.0017226563 0.0051171873 0.023898438 0.0022226563 0.0017460937 0.0070195314 0.001125 0.0010195313 0.00059765624 0.0026796875 0.010882813 0.001234375 0.0010195313 0.010496094 0.0041796877 0.0036132813 0.0035507812 0.0018632812 0.012308594 0.0041757813 0.004246094 0.0015078125 0.0038359375 0.0019414063 0.0023945312 0.0011015625 0.0032226562 0.00315625 0.002765625 0.001390625 0.004390625 0.00091796875 0.0023945312 0.002796875 0.008039063 0.0031054688 0.0009375 0.0054765623 0.0033945313 0.0087929685 0.0014804688 0.0038398437 0.0016953124 0.0034882813 0.0039101564 0.0023515625 0.00048828125 0.0058007813 0.0038398437 0.014625 0.017257813 0.0016132812 0.001546875 0.0015703125 0.0014960937 0.000640625 0.00037109375 0.0013203125 0.004875 0.0012929688 0.0013007813 0.0025546874 0.001921875 0.00069140625 0.015847657 0.0029375 0.009394531 0.00059765624 0.00041796875 0.0020625 0.0153710935 0.0016640625 0.039757814 0.0011171876 0.011414062 0.00037109375 0.0017226563 0.008746094 0.00031640625 0.0003515625 0.00039453126 0.0008515625 0.0008671875 0.00034375 0.000234375 0.0005546875 0.00065234373 0.00029296876 0.00040625 0.0006953125 0.000390625 0.00034765626 0.0009023438 0.0011875 0.001421875 0.00044140624 0.0009335937 0.00080078124 0.0004921875 0.00044140624 0.00040234375 0.002125 0.00054296874 0.00051171874 0.00046875 0.000765625 0.00041015624 0.00046484376 0.0008984375 0.0013203125 0.00051953126 0.00044140624 0.00047265625 0.00090625 0.000859375 0.0028632812 0.00075390626 0.0023359375 0.00074609375 0.00086328125 0.000359375 0.0014882813 0.00075 0.00058203127 0.00049609377 0.009109375 0.0063320315 0.004746094 0.0040117186 0.00384375 0.0005585938 0.0023320313 0.0054765623 0.00328125 0.0051679686 0.0013125 0.00066796876 0.0056914063 0.00060546875 0.0008046875 0.0006640625 0.0025117188 0.0017109375 0.0016914062 0.0008046875 0.0016992188 0.00044921876 0.0015234374 0.000765625 0.0026953125 0.001359375 0.00060546875 0.00084375 0.0024726563 0.0010039062 0.0005039062 0.00046484376 0.0031914061 0.0011992188 0.0012070312 0.0003828125 0.0024570313 0.0015390625 0.00038671875 0.00034375 0.020191407 0.0030351563 0.001 0.005925781 0.008164062 0.00034765626 0.000578125 0.00058203127 0.0051953127 0.00071875 0.00089453126 0.0009453125 0.005515625 0.0005273438 0.00203125 0.0019960937 0.0092226565 0.0014570312 0.0015078125 0.0014453125 0.010351563 0.0016210937 0.004449219 0.060027342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003202262 0.00013726782 9.804845e-05 2.1570657e-05 6.2751e-05 4.9024224e-05 0.0001137362 0.0001196191 1.1765813e-05 2.9414534e-05 2.1570657e-05 1.568775e-05 3.13755e-05 9.804844e-06 6.0790037e-05 3.13755e-05 0.002961063 0.0001823701 0.00014707267 7.4516814e-05 0.00017452623 8.82436e-05 8.236069e-05 9.0204565e-05 1.9609688e-05 2.7453565e-05 4.3141314e-05 9.804844e-06 5.8829064e-06 2.9414534e-05 1.37267825e-05 6.667294e-05 0.0024982744 3.7258407e-05 0.00022551142 1.764872e-05 0.000315716 0.00013726782 0.00042553025 0.0003470915 1.9609688e-06 0.0 0.0 0.0 1.9609688e-06 1.9609688e-06 3.9219376e-06 1.9609688e-06 0.0187802 0.0010883377 0.001511907 0.0005333835 0.0008785141 0.00056672003 0.0033611006 0.0022296216 0.00031179405 0.00021570658 0.0005333835 0.0002902234 0.0002706137 0.00022551142 0.00019805785 0.0011334401 0.022453094 0.0011706984 0.0012491372 0.0007451682 0.0029120387 0.0019276324 0.009449909 0.0050455728 0.0005765248 0.0003353257 0.00060593936 0.0004294522 0.0004157254 0.00019805785 0.00026080885 0.00041768636 0.028290898 0.0017276136 0.0038631086 0.0025610253 0.0055044396 0.0031728477 0.0128718 0.007679154 0.0016452529 0.000568681 0.0004608277 0.0006196662 0.0008471386 0.00040788154 0.0005961345 0.0014726876 0.013334588 0.0014138586 0.000945187 0.0032003012 0.0024119918 0.0013589514 0.004702403 0.002639464 0.0011452058 0.00041180346 0.00088439696 0.0006000565 0.00080595823 0.0006706514 0.00062554906 0.0009942112 0.032538358 0.0054926737 0.0077203345 0.0048318272 0.01649567 0.0059652673 0.002896351 0.0041847075 0.01975284 0.0011883471 0.0012883566 0.0027590832 0.008049777 0.0027924196 0.00641629 0.010157819 0.08872992 0.018380161 0.008449815 0.0111049665 0.0289439 0.03228735 0.01396406 0.023817929 0.05440316 0.008512566 0.005665239 0.00767131 0.027983027 0.009704835 0.027257467 0.06284317 0.04523367 0.013332628 0.005229904 0.007563457 0.013085545 0.018831184 0.008251757 0.014385668 0.0301597 0.005118129 0.0028179123 0.0033826714 0.016230939 0.0071398877 0.015154367 0.031030372 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1552.0 12.362758 19187.0 0.023713972 0.0027101682 0.00083389797 0.00041694898 0.008912284 0.002762287 0.0005211862 0.003439829 0.0016156773 0.0010423724 0.0014593215 0.00083389797 0.0016156773 0.0034919477 0.010058894 0.0016156773 0.005941523 0.0032834732 0.0053160996 0.0037525408 0.003439829 0.0025016938 0.0031271174 0.0021368635 0.0025016938 0.0029707614 0.0047949133 0.005889404 0.0027101682 0.0033355919 0.0026059311 0.0017720332 0.021681346 0.014593214 0.0018241517 0.013133893 0.008182623 0.0074008442 0.008078386 0.006254235 0.0065148277 0.006202116 0.00057330483 0.0009902539 0.0051597436 0.0075050816 0.005837286 0.005941523 0.013029655 0.013915672 0.01704279 0.023870328 0.008338979 0.0028144056 0.017511858 0.020691093 0.0028144056 0.012404232 0.016417366 0.012612707 0.0045864386 0.00067754206 0.012299995 0.014280503 0.0029707614 0.041017357 0.0041694897 0.024339397 0.022098295 0.08500547 0.0061499975 0.0076614376 0.010736437 0.035023715 0.003596185 0.0047949133 0.03549278 0.012769062 0.03132329 0.039036848 0.014853807 0.0011466097 0.048887268 0.027727107 0.058112264 0.014541095 0.006202116 0.0071402513 0.0067233024 0.008860166 0.0017720332 0.0010423724 0.00041694898 0.00083389797 0.00041694898 0.00083389797 5.7373114 1.0 0.0 0.0 13.0 256000.0 290816.0 1.0 1.0 25.0 0.0 0.0 0.0 0.0 0.0 1544188400.0 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 5632.0 1024.0 4096.0 5.0 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 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -264704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 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 4.9079247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.480803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.523039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2530.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -264864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5388.0 0.0 480.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 13872.0 60.0 14200.0 480.0 282624.0 0.0 0.0 0.0 0.0 416.0 286720.0 56.0 13808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 12288.0 0.0 0.0 0.0 0.0