Input: 0.11208498 0.003924648 0.003552778 0.0038009337 0.0036983239 0.0033788504 0.0036663038 0.003684497 0.0033053497 0.003326454 0.0034778216 0.0035556888 0.0033788504 0.0034610839 0.003538951 0.0037187003 0.0031707196 0.0032303934 0.0031437937 0.0033380976 0.0032514976 0.003247859 0.0033417363 0.0034552622 0.003285701 0.0032995278 0.0033992268 0.003485099 0.0033701176 0.0034196032 0.0036488383 0.0037827406 0.003997421 0.0031918238 0.0032223884 0.00336939 0.0033868554 0.0031852743 0.0034115983 0.0033992268 0.0032383986 0.0033191766 0.0032027399 0.0034618117 0.0033613848 0.0035018367 0.003533857 0.0035622383 0.003533129 0.0033424639 0.0033410084 0.003533129 0.0034938317 0.0033606573 0.0034385242 0.0036262786 0.003328637 0.0034538065 0.003439252 0.0034996537 0.0036364668 0.0036248232 0.0037594533 0.0037565422 0.0034756386 0.0032900674 0.0031547095 0.0033781226 0.0033497412 0.003472 0.0036160904 0.003525852 0.0032784236 0.003530946 0.0033439193 0.0033752117 0.0032929783 0.0033118993 0.0035345845 0.0036648484 0.0035651494 0.0031874573 0.0034647225 0.003549867 0.0033446471 0.0033359143 0.0036357392 0.00359062 0.0033955881 0.0032442203 0.0034559898 0.0034574452 0.0033562907 0.0034545343 0.0036568432 0.003867885 0.0033068052 0.003453079 0.0032602304 0.0035105695 0.0033519245 0.0038657018 0.0033388252 0.0035607829 0.0035505947 0.0037812851 0.0034399796 0.0034363412 0.0034487124 0.0035076586 0.003565877 0.003808211 0.0034239697 0.003382489 0.0037769186 0.0036728533 0.004156794 0.003700507 0.0035695157 0.0035542333 0.0035542333 0.0035134805 0.0034625393 0.0036015357 0.0036794029 0.0035782484 0.0037812851 0.0037609087 0.0034894655 0.0033970436 0.0031954625 0.0037878347 0.003186002 0.0034465294 0.0033228153 0.003431247 0.0032362153 0.003383217 0.00319619 0.004029441 0.003293706 0.0035105695 0.0033926773 0.00359062 0.0031881852 0.00331481 0.003277696 0.0033701176 0.0032813346 0.003388311 0.0032784236 0.003512025 0.0031146845 0.0032747851 0.003450168 0.0034370688 0.0033672068 0.003352652 0.003608813 0.0036808583 0.0032602304 0.00336939 0.0032813346 0.0034377966 0.0033082606 0.0034086874 0.003263869 0.0034254252 0.0031030409 0.003328637 0.0030520996 0.0033606573 0.0032726019 0.0032995278 0.0034101428 0.0036233678 0.0034210586 0.0033548353 0.0033271816 0.0033519245 0.0034683612 0.0035083864 0.003331548 0.003530946 0.003428336 0.0034727275 0.003293706 0.003382489 0.0034545343 0.0035273074 0.0036350114 0.0038511471 0.0036670314 0.0033177212 0.003423242 0.0034931041 0.003625551 0.0033999546 0.0033984992 0.003665576 0.003293706 0.0033621127 0.0033897664 0.0034246973 0.0037077845 0.0034246973 0.0034348855 0.00375727 0.0034494402 0.0034399796 0.0035243963 0.0035032923 0.0034443461 0.0033184488 0.003452351 0.0035382232 0.0035054754 0.003412326 0.0034872822 0.0033817613 0.003363568 0.003423242 0.0034909209 0.0036561156 0.003409415 0.0034443461 0.0035367678 0.003439252 0.0035425897 0.0036095409 0.0033759396 0.0036248232 0.003600808 0.003589892 0.0034356134 0.003733255 0.0035345845 0.0035404065 0.003450168 0.0037106953 0.0036597543 0.0036160904 0.0037070566 0.0036190012 0.0035564166 0.003627734 0.0036590265 0.0038074835 0.0037747356 0.0038096665 0.0037070566 0.003633556 0.003840959 0.003779102 0.0040272577 0.0046385513 0.09626428 7.28778e-07 0.0 0.0 1.0931669e-06 3.64389e-07 7.28778e-07 0.0 0.0 0.0 0.0 7.28778e-07 0.0 0.0 3.64389e-07 3.64389e-07 0.0007265917 6.194613e-06 1.0931669e-06 3.64389e-07 1.8219449e-06 2.1863339e-06 1.457556e-06 7.28778e-07 1.8219449e-06 7.28778e-07 1.0931669e-06 1.0931669e-06 3.64389e-07 3.64389e-07 3.64389e-07 0.0 0.0006992625 1.2753615e-05 1.2389226e-05 3.64389e-07 6.559002e-06 1.457556e-06 1.8219449e-06 1.0931669e-06 8.016558e-06 3.64389e-07 0.0 0.0 0.0 0.0 0.0 2.1863339e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012239827 2.0405783e-05 8.92753e-05 7.652169e-06 5.101446e-05 3.0973064e-05 1.4939948e-05 9.838503e-06 1.3482393e-05 3.6438898e-06 5.101446e-06 1.457556e-06 5.465835e-06 3.6438898e-06 2.550723e-06 9.1097245e-06 0.0011576639 2.2956507e-05 4.5548622e-05 2.4778452e-05 4.5184235e-05 4.1540345e-05 6.886952e-05 3.7896454e-05 1.1660448e-05 1.8219449e-06 3.279501e-06 5.101446e-06 4.7370568e-06 2.550723e-06 6.194613e-06 1.2753615e-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 0.00195604 4.8099348e-05 0.00013773904 0.00017527111 7.324219e-05 4.5913013e-05 0.00016433944 0.00010202892 0.00010130014 1.6033116e-05 1.5668727e-05 1.421117e-05 3.8625232e-05 1.5668727e-05 1.749067e-05 6.3403684e-05 0.0012582352 2.0041394e-05 9.036847e-05 5.5751516e-05 6.923391e-05 4.0811567e-05 0.00028968925 0.00015522972 5.1378847e-05 5.101446e-06 6.194613e-06 2.550723e-06 5.684468e-05 4.3726677e-06 8.380946e-06 0.00012462103 0.0015479245 8.1258746e-05 0.00019312616 0.00010567281 0.00014356927 0.00012862931 0.00033997494 0.00019677005 6.0852963e-05 3.607451e-05 2.550723e-05 2.149895e-05 2.4049674e-05 2.0405783e-05 2.149895e-05 3.8260845e-05 0.0013471461 7.761486e-05 9.2919196e-05 0.00019567688 0.00017417794 0.00013154442 0.00032795008 0.00017964377 0.00013118004 2.550723e-05 2.2956507e-05 2.1134561e-05 6.704757e-05 2.5871619e-05 4.5184235e-05 0.00011951959 0.000707279 3.7532067e-05 6.559002e-05 4.4819844e-05 4.1904736e-05 4.8463735e-05 0.00014028976 9.401236e-05 4.992129e-05 2.8057952e-05 2.4414063e-05 2.6964786e-05 7.142024e-05 2.2227729e-05 3.6438898e-05 5.3200794e-05 0.00080821477 9.692747e-05 0.00032795008 0.00014539121 0.0003439832 0.00025288595 0.0006741196 0.00042633511 0.00017672866 3.8625232e-05 2.9879897e-05 3.571012e-05 0.00013919659 2.6964786e-05 7.61573e-05 0.0001322732 0.002102889 0.00037313433 0.0005028568 0.00045985891 0.0007240409 0.00076303055 0.00059723353 0.0005921321 0.0009004052 7.251341e-05 0.00011696887 0.00012753614 0.0007116517 0.0001355527 0.00027730002 0.00049811974 0.0028014225 0.0007058215 0.0006362232 0.00066100166 0.00074663304 0.00086979655 0.00052399136 0.0007976475 0.0012207031 0.0003844304 0.00024960647 0.00029843458 0.00076011545 0.00033851736 0.00063403684 0.0010581856 0.05271324 0.052394763 0.05210471 0.05429141 0.05213204 0.053201158 0.052928958 0.055555474 0.05217868 0.053337805 0.0527628 0.054843824 0.053965647 0.054856576 0.055515755 0.058411192 6048.0 7.0666337 42739.0 0.0323826 0.007440511 0.0064344043 0.007814877 0.0075808982 0.007276726 0.007159737 0.007721285 0.00809565 0.007838274 0.00788507 0.0073703174 0.010084466 0.009967477 0.013383561 0.009522919 0.011862702 0.010458832 0.010248251 0.008867779 0.009452725 0.00809565 0.00809565 0.009265542 0.008399822 0.009125155 0.009569714 0.008165844 0.009733499 0.008727392 0.008633801 0.008844381 0.0073469197 0.010926788 0.008048855 0.01123096 0.010224854 0.012424249 0.009359133 0.008774187 0.008516812 0.013547345 0.008048855 0.008165844 0.011839304 0.008587005 0.010482229 0.00982709 0.011535132 0.006972554 0.011862702 0.013921711 0.012237066 0.008470016 0.0107630035 0.00949952 0.008399822 0.008937973 0.009476122 0.007908468 0.008072252 0.007955263 0.0077914787 0.009078359 0.007978661 0.014998011 0.008446618 0.013851518 0.0109969815 0.02505908 0.010505627 0.011418142 0.010552423 0.021081448 0.0075575 0.008563607 0.01350055 0.011932895 0.018226912 0.017641967 0.010599218 0.0077680806 0.020005148 0.015185194 0.02030932 0.011511734 0.009078359 0.010552423 0.008891176 0.010458832 0.007744683 0.0075341025 0.008446618 0.0073235217 0.00842322 0.008119049 6.500975 0.0 10.0 0.0 14.0 1374136.0 1310720.0 0.0 0.0 55.0 1.0 1.0 1.0 0.0 0.0 873916350.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 12288.0 1024.0 4096.0 7.0 0.0 0.0 2.0 4.0 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 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 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 -1536.0 1196544.0 0.0 0.0 0.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9501656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.972713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0320159 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3239803 -5.010548 7.993313 0.0 0.0 0.0 0.0 2.0744097 0.0 0.0 0.0 0.0 0.0 0.0 -4040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 823.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11928.0 -1516.0 1196252.0 0.0 0.0 0.0 0.0 69632.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 32768.0 1196252.0 36864.0 0.0 0.0 5048.0 1221632.0 800.0 1236992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228.0 33056.0 0.0 0.0 0.0 0.0


Input: 0.0045484207 0.0036981532 0.003634778 0.003947056 0.003739737 0.0037275418 0.0038492943 0.003969847 0.0037171459 0.0037133473 0.0037213443 0.0038620892 0.0039022735 0.0038540922 0.003869886 0.004023026 0.0037925164 0.0037465345 0.0036825594 0.003826903 0.0037777221 0.003719545 0.0038688865 0.0039320616 0.0038706858 0.0039074714 0.0037921164 0.0039178673 0.0038562915 0.0039806427 0.0039644493 0.004102395 0.0037763228 0.0038175066 0.0037467342 0.0037927162 0.003778122 0.0037617285 0.0037747233 0.0038912778 0.0037715246 0.0037773224 0.00373234 0.0038924774 0.0038221048 0.0039142687 0.0038742844 0.004011231 0.0038059112 0.0038928771 0.0038327007 0.0039838417 0.0038458954 0.0038938767 0.0038604897 0.0040176283 0.003844096 0.0038912778 0.003847295 0.004017828 0.003927863 0.004015829 0.0039634495 0.0041927597 0.0036101877 0.0038862797 0.0037359386 0.0038734847 0.0037965148 0.0038307013 0.0038187061 0.0039040728 0.0037803212 0.0037531317 0.0037313404 0.0038660876 0.0038187061 0.0038219048 0.0038169068 0.003949055 0.0037075495 0.003788118 0.003795715 0.0038079103 0.0037501329 0.0037787217 0.0038462954 0.0039632497 0.003823904 0.0038810817 0.0038970755 0.00391067 0.0038810817 0.0039108703 0.0039974363 0.004077205 0.0038315011 0.0038596902 0.0038670872 0.0039324616 0.003916268 0.0038183064 0.003949455 0.003929263 0.0038452956 0.003849494 0.0037659267 0.0039834417 0.0039124694 0.003903073 0.00393626 0.0040884004 0.0038808817 0.003906672 0.0038738844 0.003933661 0.003875484 0.003906672 0.004023226 0.003989639 0.003921866 0.003921066 0.0039968365 0.00414118 0.003948855 0.0040276246 0.0041193883 0.0042959196 0.0036899564 0.0037663267 0.0037923164 0.0040460173 0.0037685258 0.0038233043 0.0038720851 0.003973046 0.003857091 0.0038504936 0.0038101096 0.0039536534 0.0038660876 0.0039088707 0.0039108703 0.0039782436 0.0038129084 0.003708749 0.0037975144 0.0038786826 0.003780521 0.0037955153 0.0038502938 0.0039554527 0.0038261032 0.0038225045 0.0037811208 0.003982842 0.003903473 0.0039364602 0.0039408584 0.004097597 0.0037311404 0.0038015128 0.0037969146 0.0038167068 0.0037697253 0.003832301 0.0038059112 0.003847495 0.003780921 0.0038079103 0.0037659267 0.003928263 0.0038590904 0.0039296625 0.0038662874 0.0040774047 0.0038620892 0.003914069 0.0038187061 0.00396185 0.0038874792 0.0039178673 0.003995037 0.0039702468 0.0039298628 0.003918867 0.0038960758 0.004000035 0.0039844415 0.004022626 0.0040100315 0.004156574 0.0038370988 0.0039142687 0.003829302 0.0038936767 0.0038684867 0.0038924774 0.003934061 0.0039860406 0.0038566913 0.0038574908 0.003775323 0.0039462564 0.003974645 0.00398824 0.0039374596 0.004076805 0.0038374988 0.0038502938 0.0038454956 0.003946656 0.0038758838 0.003933861 0.003959251 0.0040494157 0.0038966755 0.00393686 0.0039228653 0.004044218 0.0040092315 0.0040508155 0.0040246258 0.0041779657 0.0038580906 0.0038660876 0.0039006742 0.003977044 0.0038908778 0.0038988749 0.0039562522 0.0040602116 0.003934661 0.0040072324 0.0038972753 0.004079204 0.003975445 0.0040630107 0.004066409 0.0040780045 0.0040204274 0.0039350605 0.003941658 0.0040276246 0.0040086317 0.0040282244 0.0041217874 0.004100596 0.0041013956 0.004062011 0.0041659703 0.004179965 0.004155774 0.0042641317 0.0043085143 0.004291721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014479444 5.1998004e-06 4.4998274e-06 1.3999462e-06 7.499712e-06 4.999808e-06 3.4998657e-06 4.4998274e-06 4.299835e-06 1.899927e-06 3.4998657e-06 1.5999385e-06 2.8998886e-06 3.099881e-06 1.9999231e-06 9.099651e-06 0.00013169495 7.1997233e-06 4.7998155e-06 1.5999385e-06 7.599708e-06 3.099881e-06 3.9998463e-06 7.1997233e-06 1.0699589e-05 1.5999385e-06 3.199877e-06 1.4999424e-06 3.199877e-06 3.5998617e-06 3.799854e-06 9.999616e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00023219109 1.379947e-05 1.5199416e-05 1.799931e-05 9.099651e-06 1.38994665e-05 6.5997465e-06 2.5599016e-05 1.7799317e-05 4.299835e-06 3.2998732e-06 1.379947e-05 6.799739e-06 5.099804e-06 2.5999002e-06 2.1499174e-05 0.00018819277 2.2799124e-05 1.4699435e-05 1.0199608e-05 1.3499482e-05 1.3999463e-05 2.1199186e-05 3.2298758e-05 1.8699282e-05 8.099689e-06 4.1998387e-06 8.999655e-06 7.999693e-06 8.099689e-06 5.799777e-06 3.0798816e-05 0.00012129534 1.7799317e-05 3.1898777e-05 2.5699013e-05 1.9499252e-05 1.4099459e-05 6.609746e-05 4.9098115e-05 1.639937e-05 1.2999501e-06 1.5999385e-06 1.0999578e-06 2.8998886e-06 1.2999501e-06 2.1999156e-06 3.7298567e-05 7.649706e-05 1.0599593e-05 8.099689e-06 5.8997734e-06 1.0299605e-05 7.499712e-06 1.6199378e-05 1.1999539e-05 1.1899543e-05 5.399793e-06 5.2997966e-06 7.699704e-06 5.9997697e-06 7.599708e-06 6.5997465e-06 7.1997233e-06 4.869813e-05 9.599631e-06 1.1399562e-05 1.379947e-05 1.6999347e-05 1.2799508e-05 1.719934e-05 1.3999463e-05 7.899696e-06 8.59967e-06 6.2997583e-06 7.2997195e-06 8.299681e-06 7.7997e-06 7.2997195e-06 6.799739e-06 0.060753368 0.06165463 0.061047956 0.06276099 0.060911562 0.061752528 0.062258508 0.06362386 0.061786827 0.061843727 0.061397642 0.063210376 0.062536396 0.06333047 0.06348376 0.06559948 23056.0 5.6940928 131283.0 0.010336448 0.009742312 0.0103593 0.009932741 0.010397386 0.009582353 0.010587814 0.010366918 0.009384307 0.010016529 0.009795632 0.010054614 0.010115552 0.010168872 0.010427854 0.010763008 0.009749929 0.010481174 0.010633517 0.010991522 0.01014602 0.010351683 0.010488791 0.010534494 0.010816328 0.010374534 0.010321215 0.011159099 0.010755391 0.0109001165 0.010915351 0.010724923 0.008957747 0.010366918 0.009605204 0.010176489 0.009529033 0.010138404 0.010755391 0.011029608 0.009795632 0.010100317 0.01019934 0.010587814 0.010610665 0.009666141 0.01025266 0.0106259 0.0103135975 0.010069849 0.010153637 0.010458323 0.010328831 0.010008912 0.010968671 0.010344066 0.010222192 0.010229809 0.010344066 0.010062232 0.010663985 0.010077466 0.010458323 0.011265739 0.009688992 0.010869648 0.010671603 0.010755391 0.011098162 0.010663985 0.010580197 0.010481174 0.010275512 0.010983905 0.009650907 0.010907734 0.010564962 0.010892499 0.010603049 0.010763008 0.010427854 0.010191723 0.011539956 0.010587814 0.010831563 0.010153637 0.010496409 0.010983905 0.010382151 0.010275512 0.011006757 0.011014374 0.010206957 0.010138404 0.011151482 0.011418082 6.583546 0.0 0.0 0.0 70.0 5001956.0 10891264.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1052988160.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10754933.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.896183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9992523 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10754933.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 476.0 141628.0 6460.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.24807465 0.014495705 0.015314907 0.010145142 0.010968972 0.0022678466 0.0017402251 0.0013745927 0.0067711417 0.0015921209 0.0018466751 0.0010274734 0.0049568648 0.0024714898 0.0007682909 0.0061926097 0.019378517 0.00077291916 0.00063407136 0.00049059535 0.0021428836 0.0032027548 0.00063407136 0.000698867 0.0017957642 0.0012496298 0.0006433279 0.0005415062 0.001254258 0.0005970453 0.00048596712 0.00046745408 0.0046976823 0.0003193498 0.0012403732 0.00048596712 0.0021475118 0.0009765625 0.0005785323 0.00046282582 0.00089325383 0.00043042802 0.001092269 0.00143476 0.0011570646 0.008136478 0.0012681427 0.0005322497 0.0027075312 0.0020364337 0.002170653 0.0070488374 0.0020873444 0.002027177 0.0017957642 0.0016337752 0.0024437204 0.0023187574 0.0022909879 0.0029482006 0.0021151141 0.0018698163 0.00154121 0.0014023622 0.0038553393 0.0026103377 0.0033971416 0.0024483486 0.0018142773 0.011473453 0.003424911 0.002295616 0.0017726229 0.0012866558 0.0012311167 0.00074514956 0.0015226969 0.006053762 0.00096730597 0.00090251036 0.014759515 0.0027630702 0.0010089603 0.0032629222 0.0018050207 0.0029111744 0.0038414544 0.003457309 0.0010830124 0.002078088 0.0004952236 0.0023604117 0.00071275176 0.0039016218 0.0028417506 0.0030453939 0.0016800577 0.002989855 0.0006710974 0.0014717862 0.0060491334 0.006479562 0.0026010813 0.0010737559 0.005271586 0.003299948 0.0067618852 0.0012496298 0.0028741483 0.001147808 0.0026566202 0.0025733116 0.0036702089 0.00030083678 0.00430428 0.0021567685 0.009469417 0.009173208 0.0013931057 0.0005970453 0.0016476599 0.0016291469 0.00049059535 0.0005229932 0.0018651881 0.0013375666 0.0019762663 0.00053687795 0.0017355969 0.0010367299 0.00025918247 0.010839381 0.0032582937 0.014653066 0.002328014 0.00072663656 0.0019623814 0.008719639 0.0026103377 0.025145328 0.0009441647 0.023562463 0.00047208235 0.0003100933 0.0013005406 0.00025918247 0.00026843898 0.0010321016 0.00085622777 0.00045819758 0.00024992594 0.00024992594 0.00095342123 0.0002776955 0.0002545542 0.00044894105 0.0011015255 0.00064795616 0.00018975859 0.00023604117 0.0012866558 0.0023881812 0.00024066943 0.0013607079 0.0014301318 0.00039340195 0.000286952 0.00040728672 0.0010598712 0.00022215639 0.00043505628 0.000286952 0.00089325383 0.00024529768 0.00023141291 0.00028232374 0.001147808 0.00026843898 0.00029620854 0.00037951718 0.0012357449 0.0027353007 0.0011524364 0.00048133885 0.003531361 0.00037026068 0.00032397808 0.00046282582 0.001397734 0.00093490817 0.0008192017 0.0005229932 0.008205902 0.0014995557 0.0030037395 0.0022632184 0.006544357 0.0023233856 0.0034480523 0.0070858635 0.004804132 0.0018096489 0.001504184 0.00045356932 0.022090677 0.00097193423 0.0012357449 0.0006664692 0.0018003925 0.00040728672 0.0006896105 0.00089325383 0.001953125 0.00034711938 0.00204569 0.0010644994 0.0025964528 0.00068035396 0.0003980302 0.000842343 0.0040589827 0.0003656324 0.0003100933 0.0003748889 0.0019670099 0.00053687795 0.00056927575 0.0005600193 0.0018327903 0.0021567685 0.00050448015 0.00066184095 0.019244298 0.003688722 0.00053687795 0.0024252073 0.004716195 0.00045356932 0.0005646475 0.0005461345 0.0027306725 0.00091639516 0.0005322497 0.0009950756 0.003475822 0.00041191498 0.0015689796 0.0019207272 0.0025316572 0.0025547985 0.001147808 0.0010968972 0.0052021625 0.0087427795 0.004591232 0.08367891 0.004643322 0.0 0.0 0.0 0.0 1.8601191e-05 8.138021e-05 1.8601191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06739211 0.0 0.0 0.0 0.00022088914 0.00012788319 0.0024646576 0.0012230283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026011439 0.0 4.650298e-06 1.3950893e-05 0.00016276042 5.580357e-05 0.001529948 0.00079287577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007914807 0.00019298735 0.00012788319 2.3251489e-05 0.00014183408 4.6502977e-05 0.00037899925 0.00018136161 1.8601191e-05 6.9754465e-06 2.3251489e-05 7.4404765e-05 6.510417e-05 5.580357e-05 0.00013718379 0.00013485864 0.01829892 0.0015648252 0.00043247768 0.00023251488 0.00035574776 6.045387e-05 9.0680805e-05 6.975447e-05 7.672991e-05 0.00036272322 0.0001232329 0.00011858259 8.835566e-05 8.835566e-05 0.00011858259 0.0017275856 0.031759206 0.0031226748 0.00085565477 0.000499907 0.0007859003 0.0002627418 0.0003999256 0.00032319568 0.00015345983 0.0006417411 0.00016508557 0.00015113468 0.00014183408 0.00014183408 0.0003999256 0.0030529203 0.0031505767 1.6276043e-05 0.00016741072 0.00015811012 0.00013485864 0.00011160714 0.0005719866 0.00028831846 5.3478423e-05 9.300596e-06 9.300596e-06 6.9754465e-06 3.2552085e-05 9.300596e-06 4.650298e-06 3.7202382e-05 0.009165737 0.0008951823 0.0007463728 0.0005440848 0.0004929316 0.00014415923 0.00016508557 0.00014648438 0.0001232329 0.0001906622 0.00013718379 0.00012555804 0.00013253349 0.0001232329 0.00032319568 0.00083007815 0.0026320685 0.00015811012 7.2079616e-05 4.185268e-05 0.00025809152 0.0002627418 0.00013020834 9.53311e-05 0.0002092634 3.2552085e-05 1.6276043e-05 2.7901786e-05 0.0005952381 4.417783e-05 0.000106956846 7.905506e-05 0.0081682475 0.00015345983 0.0008858817 0.001218378 0.0018019903 0.0012881324 0.0056338357 0.003438895 0.00015811012 0.00011858259 9.765625e-05 0.00015811012 0.00022786458 0.00014415923 0.00015578498 0.00016043527 0.007712519 0.0010835193 0.0040829615 0.016364397 0.002548363 0.0018252418 0.0056198845 0.0040178574 0.0009881882 0.0010788691 0.0012300038 0.0012579055 0.0011951264 0.0011300223 0.0010718936 0.0011742001 0.022863189 0.002529762 0.008082218 0.0033179873 0.0066801524 0.006156994 0.008193824 0.006487165 0.014394997 0.00097423734 0.001515997 0.0031366257 0.010646856 0.0032389322 0.00625465 0.019335937 0.10844727 0.022316778 0.009672619 0.013883463 0.029041108 0.036260694 0.021154204 0.021895926 0.076155595 0.004766555 0.007140532 0.009979539 0.05094866 0.012481399 0.029659599 0.0890532 0.010511998 0.0030343193 0.0007463728 0.0016043527 0.0032668342 0.0038039435 0.0025390624 0.0021995907 0.0066615515 0.00058361236 0.0009858632 0.0010393416 0.0040992373 0.0014043899 0.0028715588 0.0070289248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1075.0 15.477209 16638.0 0.0320351 0.0014424811 0.0021637217 0.0003005169 0.0015626878 0.0049885805 0.0013823777 0.0015025844 0.0019834114 0.00066113716 0.0042673396 0.0006010338 0.0035460992 0.097547784 0.008775094 0.0007813439 0.008775094 0.010878711 0.012381296 0.008414472 0.00835437 0.007633129 0.008294266 0.0073927157 0.00835437 0.008474576 0.009195817 0.00943623 0.008294266 0.0073927157 0.007152302 0.0063108546 0.005409304 0.009616541 0.0043274434 0.019713908 0.0073326123 0.010397884 0.00444765 0.00979685 0.0061305445 0.006370958 0.00036062027 0.005048684 0.0073927157 0.0028849621 0.0046279603 0.0030051689 0.010758504 0.0017429979 0.006190648 0.014004087 0.0045077535 0.0033056857 0.0051688906 0.0042673396 0.0032455823 0.0016227912 0.0015025844 0.004026926 0.002103618 0.0034258924 0.0010818609 0.008534679 0.007152302 0.035160474 0.005409304 0.0151460515 0.016768843 0.06773651 0.008955403 0.008294266 0.007152302 0.038165644 0.0013222743 0.011720159 0.022238249 0.011900469 0.02933045 0.02704652 0.02704652 0.0013222743 0.04501743 0.019473495 0.051388387 0.011239331 0.0066113714 0.0024041352 0.007633129 0.015867291 0.002103618 0.00036062027 0.0045077535 0.00048082703 0.007813439 0.0006010338 5.7424583 2.0 0.0 0.0 2.0 216064.0 241664.0 0.0 67.0 126.0 1.0 1.0 0.0 0.0 0.0 1534900700.0 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 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 -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 145408.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 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 0.0 512.0 0.0 0.0 -145408.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.688482 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.5589824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9366672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2908683 0.0 4.3983874 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58322.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10136.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 -145260.0 0.0 1712.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 2.0 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 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 -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 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 1.0 2.0 0.0 -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 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 3.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1751.0 205072.0 200.0 206824.0 1712.0 229376.0 0.0 0.0 0.0 0.0 7256.0 233472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 188608.0 0.0 0.0 540.0 151552.0 0.0 0.0 0.0 0.0


Input: 0.38625082 0.023245636 0.012135497 0.005580078 0.00821225 0.0032292553 0.006830516 0.002522758 0.0026102886 0.0023195618 0.008937503 0.0019881958 0.0020663482 0.0016662081 0.0034324513 0.0008471715 0.0016568298 0.002922898 0.0060302354 0.0020444656 0.0011722853 0.001991322 0.0017412344 0.0011316461 0.0012691942 0.00072525383 0.0006408493 0.0011410244 0.001262942 0.0012254289 0.0011316461 0.00072837994 0.0049298503 0.00055019255 0.0012066723 0.0005845796 0.00061584054 0.00092532387 0.0005783274 0.00079402793 0.0045922324 0.0008159106 0.003119842 0.0012598159 0.0015536688 0.0015380384 0.0023039314 0.019594358 0.005711374 0.0034855949 0.0034043165 0.0022195268 0.0018662782 0.0024946232 0.00062209275 0.00033761817 0.003216751 0.0019381783 0.0009597109 0.00044390536 0.0021445006 0.0010878808 0.0011128895 0.0003782574 0.00055331865 0.0806376 0.012626294 0.0065304106 0.003757565 0.009415795 0.004339019 0.0060271095 0.004289001 0.004917346 0.0031292203 0.0030135547 0.0019788176 0.0023039314 0.0034074427 0.0017506127 0.0014380033 0.008224754 0.00684302 0.0035762517 0.002525884 0.0041014357 0.0055894563 0.0054362775 0.004138949 0.003851348 0.006508528 0.00024070925 0.00039388787 0.00039701397 0.00017818737 0.0031886161 0.0014004902 0.010334867 0.0055988347 0.008449832 0.00878745 0.014145576 0.003054194 0.008527985 0.0037169259 0.009959736 0.001597434 0.003548117 0.009762792 0.0054956735 0.007030586 0.011047617 0.0072837994 0.0014536338 0.0072244033 0.007011829 0.012188641 0.0058989394 0.0033699295 0.0047078975 0.0014348772 0.0036700345 0.0019194218 0.0024508578 0.00049079675 0.0012223028 0.00045640973 0.00024696143 0.0019850698 0.0020507178 0.000997224 0.0005376882 0.00044703146 0.00085967587 0.0013379683 0.00019381783 0.00019694393 0.00035637475 0.0003782574 0.0002188266 0.00033449207 0.00033761817 0.00038763566 0.00014067424 0.00019381783 0.00033761817 0.00020632222 0.00020632222 0.00020632222 0.00025008753 0.00060333614 0.00018443956 0.00022820487 0.0002594658 0.0002157005 0.00020319612 0.00020319612 0.00029072675 0.0001594308 0.0004814185 0.00039076176 0.0002594658 0.0003251138 0.00019069175 0.00024383534 0.0002688441 0.00015630471 0.00018443956 0.0002594658 0.00071900163 0.00030010505 0.0003188616 0.00022507878 0.0002719702 0.00013129595 0.00035637475 0.00022820487 0.00022507878 0.00016568298 0.00034387034 0.00030323112 0.00035012254 0.00022195268 0.00030323112 0.00035012254 0.0003157355 0.00023445705 0.0002094483 0.00024070925 0.00020007002 0.00015005252 0.00019069175 0.00030323112 0.00040639224 0.00023758315 0.00020319612 0.00055019255 0.0002125744 0.00062209275 0.00018131346 0.00022507878 0.00034699644 0.00018443956 0.00024383534 0.00022507878 0.00033136597 0.00018756565 0.00018756565 0.00019694393 0.00030010505 0.000265718 0.00013129595 0.00027822237 0.0003813835 0.0002094483 0.00017193517 0.00036887912 0.00025633973 0.00015630471 0.00011879158 0.0003251138 0.00023445705 0.0006408493 0.00013754814 0.00035324864 0.00022507878 0.00019381783 0.000265718 0.00029385285 0.00020007002 0.00049079675 0.0001594308 0.0002125744 0.00022195268 0.0002094483 0.00013442205 0.00019694393 0.00024070925 0.00015630471 0.0002188266 0.00022195268 0.00020632222 0.00020007002 0.00017818737 0.00023133097 0.0001594308 0.0001062872 0.00033136597 0.0002188266 0.00028760065 0.00011253939 0.00020007002 0.0002125744 0.00022820487 0.0006533537 0.0063584754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044997237 0.00042704985 0.00021352492 8.635199e-05 0.0006735455 7.8501806e-05 1.8840434e-05 0.00017898412 3.1400723e-05 6.751156e-05 5.65213e-05 1.8840434e-05 1.2560289e-05 2.6690615e-05 3.1400723e-05 9.420217e-06 0.075548574 0.0009420217 0.0056113093 0.0036236434 0.03478572 0.011756431 0.03463657 0.018367853 0.00016328377 0.00017898412 0.00032185743 0.00013659315 0.00011147257 9.734224e-05 0.00014915343 6.437148e-05 0.24865134 0.004374121 0.019769896 0.015557488 0.09981505 0.035311684 0.04221827 0.018914226 0.00070494623 0.00048357114 0.00038308883 0.0005259621 0.00025120578 0.0005071217 0.00045688052 0.0008211289 0.08762215 0.0091062095 0.010147144 0.003345747 0.005782443 0.0033473172 0.019435478 0.014588776 0.0031149518 0.0012889997 0.001475834 0.0013329607 0.0015794564 0.0012842896 0.00077088777 0.0061953627 0.041141227 0.007153085 0.0052203704 0.00433958 0.004132335 0.0035796824 0.010578903 0.0054511656 0.0039392207 0.0009420217 0.0009812727 0.0009043408 0.0014852543 0.0011225758 0.00094673183 0.0013298206 0.005809134 0.0015150849 0.0011586867 0.0006845358 0.0013832019 0.0006452849 0.0019562652 0.0011759571 0.0007536174 8.949206e-05 0.00013345307 9.420217e-05 0.00013345307 0.00018369424 0.00021038485 0.00015072347 0.0035702623 0.0011508365 0.0007771679 0.00074733724 0.00039407908 0.0003862289 0.00071436644 0.0004207697 0.0004160596 0.00022451517 0.00014444333 0.000103622384 0.00011147257 0.00013816319 0.00020567473 0.00014130326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032013038 0.0010676245 0.0011037354 0.0016956391 0.0011947976 0.0008933506 0.0018008315 0.0010864651 0.00082269893 0.00045060038 0.0005259621 0.00045531048 0.00041134947 0.00037994876 0.00045374045 0.0005338123 0.0023990152 0.0008807903 0.00085723976 0.0012167781 0.0009922629 0.0006547051 0.001348661 0.00083054916 0.0006641253 0.00039721915 0.0004820011 0.00039250904 0.00042861988 0.00033755778 0.00044432023 0.0005353823 1743.0 19.287436 33618.0 0.017312154 0.00035695164 0.004848593 0.0003866976 0.00011898388 0.00026771374 8.923791e-05 0.00026771374 0.00011898388 0.0005651734 0.00014872984 0.0005949194 0.00026771374 0.00074364926 0.008745315 0.0054137665 0.0073175086 0.0056219883 0.0024094235 0.0018739961 0.00083288713 0.002052472 0.001041109 0.00035695164 0.001041109 0.0015765363 0.0035397704 0.0002974597 0.0061276695 0.0026176453 0.006008686 0.00011898388 0.00023796776 0.016687488 0.0026771373 0.015289429 0.0072877626 0.0025878993 0.0051757987 0.006722589 0.0027663752 0.010054138 0.00032720566 0.0022012016 0.0035397704 0.0051460527 0.005889702 0.008447856 0.004848593 0.0007139033 0.0081206495 0.014664763 0.009191505 0.006514367 0.00092212507 0.001041109 0.00092212507 2.974597e-05 0.0005056815 8.923791e-05 0.0003866976 5.949194e-05 2.974597e-05 0.020167768 0.0007139033 0.052204177 0.006871319 0.032869298 0.026741626 0.11119043 0.012612291 0.016895711 0.0108572785 0.06544113 0.0013088227 0.0056517343 0.028109942 0.017609613 0.04280445 0.039294425 0.032750312 0.003956214 0.052204177 0.043964542 0.092956156 0.02900232 0.006068178 0.0024391694 0.0035695164 0.013980606 0.0013088227 5.949194e-05 5.949194e-05 5.949194e-05 2.974597e-05 8.923791e-05 5.1430316 1.0 40.0 0.0 1.0 319888.0 335872.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 4116816600.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 306176.0 512.0 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 -306176.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8140464 0.0 3.3802545 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 -306124.0 0.0 1112.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 314212.0 1112.0 319488.0 0.0 0.0 11152.0 308736.0 12.0 327680.0 56.0 313992.0 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: 0.19989364 0.020921199 0.014923234 0.015196078 0.012379764 0.0057389936 0.0058407327 0.004319275 0.008088236 0.004027932 0.003930818 0.0054938956 0.003782834 0.0060025896 0.0025157232 0.004716981 0.0060118386 0.0020578986 0.0021596374 0.0064604143 0.0025203477 0.0014798372 0.0020394006 0.0019422864 0.0054568998 0.0024509805 0.0025804662 0.0036857196 0.0046291156 0.002071772 0.0025989641 0.0016278209 0.01067795 0.0040140585 0.004411765 0.010627081 0.002871809 0.0019931558 0.0013734739 0.001354976 0.00486034 0.0017943026 0.0020255272 0.0053967815 0.002709952 0.0075795413 0.0023862375 0.0016509434 0.010321865 0.004037181 0.00327414 0.004490381 0.0024186089 0.0016694413 0.0014705883 0.0015168332 0.0026035886 0.0015075841 0.0019515353 0.0023677396 0.0022475028 0.0016879393 0.0018128006 0.0033018868 0.010691823 0.0035839807 0.013133556 0.004217536 0.0025203477 0.0024787274 0.01919164 0.003963189 0.005997965 0.0028024418 0.0013688494 0.003454495 0.0033990012 0.0019561597 0.0015168332 0.0036625972 0.003126156 0.0013041066 0.0017804292 0.0033111358 0.0019607844 0.0022706252 0.0012994821 0.0012671106 0.0016740658 0.0012948576 0.0013780984 0.0028856825 0.0014520902 0.0012208658 0.0006520533 0.0014150944 0.007163337 0.0053042914 0.0024186089 0.0043377727 0.003218646 0.0054337773 0.0018960414 0.001354976 0.0111773955 0.006243063 0.001808176 0.0019561597 0.0032602663 0.0025989641 0.003200148 0.006437292 0.0038568256 0.0013133555 0.0050406954 0.004874214 0.0050129485 0.0020856457 0.0014104699 0.0011931187 0.002645209 0.001609323 0.0013642249 0.0014243433 0.0012578616 0.0011607474 0.00092489825 0.001308731 0.0048649646 0.001854421 0.0022382538 0.0013596005 0.0019885313 0.0009803922 0.0017156863 0.0007630411 0.004624491 0.0013734739 0.0010312615 0.0011884943 0.001327229 0.0012347392 0.00077691453 0.002071772 0.0024047354 0.0012023677 0.0014335923 0.005808361 0.0022613762 0.001100629 0.0008046615 0.0009665187 0.0043840175 0.0014012209 0.0027284499 0.0020810212 0.0019422864 0.0014150944 0.00079078804 0.00086477987 0.0025712173 0.001100629 0.0009850167 0.0015399556 0.0010497596 0.0008462819 0.00075379206 0.00071679614 0.0026683314 0.0013688494 0.0010821309 0.0022752497 0.001035886 0.0010220126 0.00061505736 0.0007260451 0.0035146135 0.0056141326 0.0013965964 0.001345727 0.0015954495 0.0007491676 0.0006381798 0.0004994451 0.001590825 0.0030614133 0.00077229005 0.001063633 0.001035886 0.0050776913 0.0007445431 0.0032695155 0.0057066223 0.0012116167 0.00080928596 0.00094339624 0.0013411025 0.0008925268 0.0006798002 0.0014937107 0.0013688494 0.0008370329 0.00073066965 0.00071217166 0.0011607474 0.0037365889 0.00065667776 0.000527192 0.007736774 0.005308916 0.002155013 0.0037874584 0.00131798 0.00079078804 0.0006243063 0.000818535 0.002155013 0.0013734739 0.0014243433 0.0014243433 0.001109878 0.002118017 0.0019561597 0.0015075841 0.0073483167 0.00088327785 0.0006381798 0.00094339624 0.0010775065 0.00077229005 0.00087402883 0.0017064373 0.0069598593 0.0077321497 0.0019099149 0.004009434 0.0009110248 0.00082778395 0.0009803922 0.0009480207 0.013831854 0.0077876435 0.009239733 0.0020995191 0.0025573438 0.0019746579 0.0023584906 0.008374954 0.014359046 0.0033296337 0.0031400295 0.0034313726 0.0035608583 0.003380503 0.0046291156 0.009221235 0.033275206 1.3950893e-05 0.0 4.650298e-06 2.325149e-06 1.3950893e-05 1.1625744e-05 0.0 0.0 0.0 2.325149e-06 0.0 4.650298e-06 2.325149e-06 0.0 2.325149e-06 0.009105283 9.300596e-06 2.5576637e-05 1.8601191e-05 1.6276043e-05 1.3950893e-05 2.5576637e-05 3.0226935e-05 4.185268e-05 4.650298e-06 3.7202382e-05 1.3950893e-05 1.3950893e-05 3.4877234e-05 3.2552085e-05 9.99814e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041201636 4.8828126e-05 9.3005954e-05 9.300596e-06 5.812872e-05 1.8601191e-05 0.00010230655 5.3478423e-05 4.185268e-05 6.277902e-05 6.9754465e-06 1.6276043e-05 2.7901786e-05 6.045387e-05 3.2552085e-05 9.300596e-06 0.007591611 0.00016741072 0.00016973587 4.8828126e-05 0.00014415923 0.000106956846 0.00017206102 0.000109281995 6.045387e-05 3.7202382e-05 6.742932e-05 4.417783e-05 0.00060221355 6.045387e-05 5.3478423e-05 8.835566e-05 0.009619141 0.00012090774 0.00068824406 0.00092075893 0.0005185082 8.370536e-05 0.0010323661 0.0007207961 6.742932e-05 6.975447e-05 9.0680805e-05 8.370536e-05 6.510417e-05 7.2079616e-05 7.672991e-05 5.580357e-05 0.033949498 0.00063011533 0.0023158481 0.00083937874 0.0023321242 0.001171875 0.0052478607 0.0030529203 0.00059291295 0.00025576638 0.0002952939 0.00015113468 0.00021623884 0.0002092634 0.00027436757 0.0008463542 0.008098493 0.00013718379 0.0004138765 9.0680805e-05 0.0009672619 0.00043247768 0.0013834635 0.00075102306 0.00022553944 0.00014415923 0.00013718379 6.045387e-05 9.0680805e-05 0.00016043527 0.00016508557 0.0010277157 0.020744978 0.0009881882 0.0018229167 0.0018880208 0.00578032 0.001234654 0.0043038502 0.0023693265 0.0005766369 0.0004813058 0.0003999256 0.00035109746 0.00037899925 0.00038364955 0.00033947174 0.00081380206 0.01007952 0.00024414062 0.0006952195 0.00044177828 0.0012555803 0.0017461868 0.0045107887 0.0024553572 0.00045572917 0.00021158854 0.00017438616 0.00020693825 0.00019298735 0.00018833706 0.00020693825 0.00074404763 0.014976284 0.0010044643 0.0013671875 0.00097423734 0.0009393601 0.000999814 0.0026762462 0.0018345424 0.0010881696 0.0006580171 0.0009323847 0.000453404 0.0012532552 0.00056501117 0.0011044457 0.0025065104 0.022872489 0.002141462 0.0031994048 0.010963077 0.0031947545 0.0028064547 0.007124256 0.007440476 0.0020996095 0.0016578311 0.0018484934 0.0019717263 0.001764788 0.001671782 0.0021298362 0.0033040366 0.028104074 0.007561384 0.008926246 0.0034458705 0.013906715 0.001843843 0.0043526785 0.0018252418 0.003469122 0.0042410716 0.001734561 0.005187407 0.003108724 0.004673549 0.0058058966 0.01609933 0.10722191 0.03289853 0.042203777 0.022898065 0.051574126 0.014095052 0.032073103 0.0117234 0.017245628 0.020372953 0.011183966 0.020372953 0.011951265 0.024190849 0.024872117 0.06464611 0.0073707215 0.003827195 0.0038620722 0.004043434 0.0035249256 0.003673735 0.004731678 0.00406436 0.0033691407 0.0033854167 0.0034295944 0.0031343007 0.0031505767 0.0033784413 0.003529576 0.0034295944 1205.0 12.425726 14973.0 0.028517999 0.0030721966 0.0049422295 0.0058772457 0.0076804915 0.0014025245 0.0020703934 0.0007346557 0.0052761636 0.002805049 0.0019368196 0.004007213 0.002270754 0.006344754 0.014559541 0.008882656 0.02764977 0.019301409 0.012555934 0.009550524 0.0071461964 0.00514259 0.0060108197 0.0061443932 0.010819475 0.007012623 0.006812262 0.005610098 0.006812262 0.004541508 0.0053429506 0.0036732785 0.008415148 0.012622721 0.0026714753 0.014425967 0.0067454753 0.0067454753 0.032258064 0.0066119013 0.008081213 0.00921659 0.002337541 0.0043411474 0.0062111802 0.008081213 0.0061443932 0.003472918 0.01329059 0.0019368196 0.0067454753 0.0122219995 0.010084819 0.004675082 0.0077472785 0.0058104587 0.0054097376 0.0010018032 0.0033393442 0.001135377 0.0026714753 0.0006678688 0.00060108193 0.0070794094 0.008014426 0.029319441 0.008749082 0.024510786 0.024911508 0.047752623 0.010084819 0.008214787 0.016763508 0.036732785 0.0022039672 0.003406131 0.021104654 0.017231015 0.025045082 0.046817604 0.018166032 0.0025379015 0.041474655 0.03185734 0.047418687 0.011687704 0.0059440327 0.0054765246 0.009817672 0.006812262 0.0048086555 0.0037400655 0.0044747214 0.0027382623 0.0026046885 0.002270754 5.991453 2.0 20.0 0.0 2.0 216240.0 204800.0 1.0 0.0 118.0 1.0 1.0 1.0 0.0 0.0 1543247400.0 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 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 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 10.0 0.0 14.0 13.0 10.0 0.0 6.0 2.0 159744.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 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 0.0 0.0 0.0 0.0 -159744.0 -4096.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5062385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6568117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3505077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8376017 -5.504123 7.5073924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155920.0 -3368.0 12184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 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 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 -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 -1.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 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 -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 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 1.0 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 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 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 180716.0 12184.0 184320.0 6184.0 172032.0 15536.0 200704.0 4816.0 196608.0 84.0 29808.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 8528.0 0.0 0.0 488.0 180224.0 0.0 0.0 0.0 0.0


Input: 0.013821001 0.0038396863 0.003644464 0.003954893 0.0035127583 0.0037360194 0.0037515645 0.0039503155 0.0035685499 0.0036126107 0.0036190003 0.0038448363 0.0037332536 0.0038838426 0.0038456947 0.004126082 0.0034777576 0.0035494757 0.0035328814 0.003713226 0.0036301587 0.0037089342 0.0038407354 0.003898434 0.0037200926 0.0036879529 0.0037809385 0.003973967 0.0039732996 0.0041240794 0.0043146284 0.004527875 0.003766347 0.0036829936 0.0037881865 0.003948122 0.0036327336 0.0036234828 0.0037425999 0.003829005 0.003588196 0.0036972992 0.0036161393 0.0038554224 0.0036668761 0.0038478882 0.0038315798 0.004005725 0.003737259 0.0036898602 0.0036375977 0.0038188957 0.0037803662 0.003791429 0.0038921398 0.0039112135 0.003678702 0.00380583 0.003858951 0.0039454517 0.0040173605 0.0039477404 0.004058274 0.0042022825 0.0037024491 0.0037034028 0.0036249133 0.0038021107 0.0036080328 0.003697776 0.0037788404 0.003950697 0.003581234 0.003674601 0.003729534 0.003788568 0.0036568623 0.0038481741 0.0037708292 0.004026325 0.003710937 0.0036450364 0.0036757456 0.0037440304 0.0036353087 0.0036478974 0.0038275744 0.0039046332 0.00373106 0.0037481312 0.0038476973 0.0038810768 0.003791906 0.0038414984 0.0039742533 0.0041891215 0.0036641103 0.0037883774 0.0037003509 0.0038497956 0.0036304449 0.0037716876 0.003790094 0.0038438826 0.0038594278 0.0038466484 0.0038606676 0.003878025 0.003904347 0.0038752593 0.0038162253 0.0040401537 0.0036721213 0.0037881865 0.003776647 0.003846076 0.0039926595 0.0038832703 0.003844264 0.003892998 0.0040318565 0.00389605 0.0039952346 0.0039587077 0.004135619 0.004127417 0.0042012334 0.004330269 0.003755284 0.0037608154 0.003523726 0.003928094 0.003601834 0.0038287188 0.003743935 0.003962332 0.0035615878 0.0037881865 0.00366144 0.004129897 0.0037072175 0.0039176987 0.003797819 0.004080114 0.0036953916 0.0036799419 0.0035350749 0.0037704478 0.0037157054 0.0037736904 0.0037344934 0.0038668667 0.0037554747 0.003920655 0.003732109 0.0038682972 0.003662966 0.0038427382 0.0039318134 0.0041960836 0.0037947672 0.003893761 0.003627679 0.0038908045 0.003693389 0.0037951486 0.003716087 0.0039016767 0.0036847102 0.0036896695 0.0036094633 0.0038856545 0.0037283897 0.0039087343 0.0038291956 0.0041089156 0.0037108415 0.0038502724 0.0037133212 0.0038732565 0.0038950962 0.0039005324 0.0038591418 0.0039165546 0.0038173697 0.0037799848 0.0037947672 0.0038690602 0.0038884203 0.0040042945 0.0041246517 0.0043368493 0.0039121676 0.0037327767 0.0037208553 0.0039908476 0.0037498479 0.003834918 0.003851703 0.00403529 0.0037749303 0.0037730227 0.0037673959 0.0037931458 0.0037352564 0.0037690173 0.003793432 0.004123507 0.0039875098 0.0038618122 0.0038222335 0.0038688695 0.0038044949 0.0039514597 0.0040803044 0.0040125917 0.0038316753 0.0038852731 0.0039343885 0.0039038702 0.0038538964 0.0038278603 0.0039575635 0.0042976523 0.0038894694 0.0039264727 0.003920846 0.0040130685 0.0038747825 0.0039426857 0.003817179 0.004031761 0.0041115857 0.0039557517 0.0038961452 0.0039797844 0.0039330535 0.0039941855 0.003848365 0.0041473494 0.0041627996 0.0041068173 0.00403281 0.004041203 0.0040999507 0.0040429197 0.0040235594 0.0040718163 0.0042713303 0.0041264636 0.0041404827 0.0041517364 0.0043330346 0.0042154435 0.004996904 0.006110443 0.0014602175 4.2923728e-07 3.338512e-07 2.3846516e-07 6.200094e-07 2.8615818e-07 1.1446327e-06 8.107815e-07 1.4307909e-07 4.769303e-08 0.0 4.769303e-08 1.4307909e-07 9.538606e-08 1.4307909e-07 4.2923728e-07 0.00046233623 2.7185029e-06 1.0015536e-06 1.0969397e-06 1.526177e-06 1.1446327e-06 8.5847455e-07 1.9554143e-06 4.72161e-06 1.0015536e-06 1.0492466e-06 1.0969397e-06 8.5847455e-07 4.769303e-08 1.9077213e-07 6.7724104e-06 0.0007169693 7.5831917e-06 4.1492935e-06 2.4800377e-06 4.530838e-06 2.5277307e-06 2.2892655e-06 2.5277307e-06 4.483145e-06 1.8123352e-06 1.4307909e-06 5.246233e-07 1.3354048e-06 1.0492466e-06 7.773964e-06 1.9935687e-05 0.000669324 9.44322e-06 4.0062146e-06 3.7200564e-06 7.559345e-05 2.6088088e-05 3.5292842e-06 4.769303e-06 4.2446795e-06 2.3846515e-06 4.2923728e-07 4.769303e-07 4.340066e-06 1.0492466e-06 3.6246704e-06 6.605485e-05 0.0005588192 1.4403296e-05 7.630885e-06 4.8646893e-06 7.339958e-05 3.5960544e-05 4.578531e-06 7.0585684e-06 7.39242e-06 1.3354048e-06 1.4784839e-06 1.526177e-06 3.243126e-06 1.3354048e-06 3.052354e-06 5.5323915e-05 0.0001539054 1.006323e-05 8.060122e-06 1.6692561e-06 1.9077213e-06 1.8123352e-06 1.7169491e-06 1.621563e-06 2.2415725e-06 3.14774e-06 5.7231637e-07 3.338512e-07 4.2923728e-07 5.7231637e-07 4.2923728e-07 6.8677964e-06 0.0006336019 7.4830365e-05 2.5754236e-05 9.633992e-06 8.870904e-06 9.586299e-06 2.4943454e-05 1.3258663e-05 1.3449435e-05 9.061676e-06 6.200094e-06 3.8154426e-06 6.247787e-06 5.3893123e-06 7.5831917e-06 2.6851176e-05 0.00045203455 3.5960544e-05 3.252665e-05 8.870904e-06 1.8027966e-05 1.149402e-05 4.230372e-05 2.2558803e-05 6.438559e-06 4.1969865e-06 4.1492935e-06 4.72161e-06 3.8154426e-06 5.4846987e-06 9.777072e-06 2.1366477e-05 0.00031515554 2.3941902e-05 2.3989594e-05 6.6293314e-06 1.0206309e-05 7.773964e-06 1.8695668e-05 1.1446327e-05 6.247787e-06 8.107815e-06 5.6754707e-06 4.769303e-06 2.7185029e-06 7.0585684e-06 4.530838e-06 3.1429707e-05 0.00092486327 0.00014870687 0.00017155183 3.667594e-05 3.6151316e-05 4.0205225e-05 9.5004514e-05 6.3336345e-05 4.5737615e-05 2.7471186e-05 1.9744915e-05 2.5086534e-05 1.9172598e-05 2.313112e-05 2.2701883e-05 0.00015629006 0.0006984167 7.230263e-05 8.661055e-05 6.3908665e-05 8.203201e-05 5.3750045e-05 0.000142316 9.30491e-05 3.4434368e-05 3.5054378e-05 2.3274199e-05 2.6946562e-05 1.559562e-05 2.4895762e-05 2.012646e-05 9.009214e-05 0.00059649674 0.00015819778 0.00016787947 3.4195902e-05 3.2002023e-05 3.2669726e-05 4.607147e-05 4.2923726e-05 4.8742277e-05 4.7168407e-05 2.73758e-05 2.3703436e-05 2.2654189e-05 4.2494492e-05 3.6437476e-05 0.00020379233 0.00063999277 0.00018371355 0.00021433248 4.5833003e-05 7.859812e-05 5.7517795e-05 4.9505365e-05 5.0840772e-05 5.1842326e-05 8.255664e-05 4.888536e-05 5.0745384e-05 3.7200563e-05 9.23814e-05 6.0331684e-05 0.00030690467 0.0024003426 0.0007874596 0.00059082126 0.00027571342 0.0003887459 0.00041068468 0.00023202659 0.00032192795 0.00062320486 0.0004729241 0.00027123027 0.0002786227 0.0003579362 0.0006021722 0.00048088882 0.0015658576 0.00049018895 0.0001560516 0.00014379449 9.662608e-05 0.00015700546 0.00018051812 7.979044e-05 0.00012276186 0.00031329552 7.025184e-05 3.3766664e-05 4.735918e-05 0.00012896195 7.950428e-05 9.37645e-05 0.00024824223 0.05923861 0.05976919 0.058641348 0.061183576 0.05897787 0.059926625 0.06037532 0.062614225 0.059584048 0.059919618 0.06031499 0.061866302 0.060756247 0.061995074 0.0625342 0.066125765 47470.0 5.806741 275646.0 0.00966457 0.00929453 0.0095920125 0.0097371265 0.0098133115 0.009874985 0.010012843 0.010001959 0.009425133 0.010139817 0.0100491205 0.010292186 0.009864101 0.010745667 0.0112753315 0.010615064 0.00990038 0.010150701 0.009922147 0.010074516 0.0100418655 0.010259536 0.010527996 0.010190607 0.00942876 0.010172468 0.010506229 0.010205118 0.010546136 0.0101253055 0.010763805 0.010332093 0.009385226 0.011434956 0.009417877 0.010237768 0.012526937 0.010052749 0.010205118 0.0117143 0.009787916 0.011463979 0.010241397 0.010009214 0.010288559 0.010154328 0.010829107 0.010056376 0.010781945 0.009769777 0.0102704195 0.010339349 0.009969308 0.010197862 0.010295814 0.010107166 0.011246309 0.010498974 0.010375626 0.0105134845 0.010517113 0.010625948 0.010477207 0.010553391 0.009816939 0.010966965 0.010157956 0.010128934 0.01062232 0.012026294 0.010491718 0.010183351 0.010346604 0.011286215 0.010636832 0.009980192 0.011942854 0.010995988 0.01163086 0.011068544 0.009686337 0.009922147 0.0117324395 0.010491718 0.011804996 0.010415533 0.010651343 0.010020099 0.010974221 0.010455439 0.010589669 0.010197862 0.01077469 0.010876269 0.010593297 0.010640459 6.5824857 2.0 0.0 0.0 153.0 10485492.0 1331200.0 0.0 0.0 99.0 0.0 1.0 0.0 0.0 0.0 1262073500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 57344.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -57344.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.840956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7220757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7075796 0.0 4.955046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1070444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55329.0 0.0 181356.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 67488.0 181356.0 1146880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 412.0 61440.0 0.0 0.0 0.0 0.0