Input: 0.010796491 0.005893673 0.0062195472 0.004445614 0.0089637535 0.004710724 0.008148332 0.0053237597 0.0051203948 0.0045842943 0.0062362086 0.0042020655 0.0040129116 0.0043035033 0.006159273 0.00505718 0.006004421 0.0034949426 0.0045970352 0.0039193146 0.0040398636 0.0035091536 0.007518145 0.005761363 0.004107489 0.002888277 0.004166783 0.003874721 0.0033204895 0.002580534 0.004942511 0.0046347682 0.004949372 0.004059465 0.004348097 0.0034763212 0.0045842943 0.003673316 0.005945617 0.0045602825 0.004272631 0.0032156217 0.003791415 0.0031984702 0.0033832141 0.0032420836 0.0054634204 0.0047607077 0.004349567 0.0027990902 0.003872761 0.002808891 0.004232448 0.0033670429 0.005951987 0.0048925276 0.0030857618 0.002381089 0.0031102637 0.0028809265 0.003128395 0.0025633825 0.0050797216 0.0049072285 0.005553097 0.004166293 0.0043314355 0.0035454163 0.003566978 0.0036277426 0.0053722737 0.004541661 0.004644079 0.0039844895 0.0038418886 0.003312649 0.0035762887 0.0039560674 0.0052968077 0.0045294105 0.0045078485 0.0033199994 0.0040129116 0.0039482266 0.0042760614 0.0037512318 0.005614842 0.004843034 0.0041511017 0.0028368232 0.0037370208 0.0033783137 0.0033072585 0.003207291 0.005711379 0.0055981805 0.0047469866 0.0037512318 0.0034709307 0.0028015405 0.0035346355 0.003141136 0.0046739713 0.0036880171 0.0041221897 0.0035890297 0.0037723035 0.0032567848 0.0037678932 0.003620882 0.005175279 0.004563713 0.00385708 0.0024643952 0.0029720734 0.0021066682 0.0028892572 0.0031087936 0.0049586827 0.004210396 0.0036385234 0.0023448262 0.0028466238 0.0024697855 0.0029612924 0.0024207819 0.004616637 0.0052242824 0.0056765866 0.003937446 0.004250089 0.0030450888 0.0042241174 0.003793865 0.005221342 0.004188345 0.0033028482 0.002823102 0.003102913 0.0029990254 0.0030147065 0.003008336 0.0047881496 0.0037977854 0.004094748 0.003114184 0.0038423787 0.002822122 0.0031852394 0.0029612924 0.0049189897 0.0038771713 0.002877006 0.0025511316 0.0034773012 0.003022547 0.0026795212 0.0025119288 0.004416702 0.003873741 0.004194715 0.0035047433 0.0033371507 0.002542801 0.0031386858 0.0026540393 0.0051042233 0.0035111138 0.0032572746 0.0026658003 0.0030122562 0.0026177766 0.0030494991 0.0033214695 0.0042696907 0.0039168643 0.0039614574 0.0025109486 0.003500333 0.0026461987 0.0033503817 0.0029117987 0.0051669483 0.00399674 0.003272466 0.002012581 0.0028387832 0.0029064084 0.0031666178 0.0024580248 0.0051223547 0.005484982 0.0052159517 0.0031470165 0.004034473 0.0028059508 0.003151917 0.002368348 0.0045348005 0.0037380008 0.0032558045 0.0028240823 0.0032768762 0.0026574696 0.00252908 0.0026824616 0.0040575047 0.003885502 0.004009481 0.0027941898 0.00332833 0.003339601 0.003368023 0.0029333604 0.005175279 0.0037654429 0.00345868 0.0025756336 0.0033984054 0.0034175168 0.0031744584 0.0029044482 0.0050018057 0.0053693336 0.0049037985 0.0034552496 0.003578249 0.0031259449 0.0030151964 0.0020880469 0.0038928525 0.0033974252 0.003502293 0.0025780837 0.002940221 0.0027976201 0.002822612 0.0026280675 0.00439073 0.004340746 0.004342216 0.0027770386 0.0023467862 0.0023110136 0.0028382933 0.00292797 0.004447084 0.0038301277 0.004077596 0.0017685429 0.0031509367 0.002770178 0.003407226 0.0028804364 0.0060215723 0.020974066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00042476298 4.169152e-06 2.9429307e-06 1.1771723e-05 5.395373e-06 7.357327e-06 3.6786635e-06 6.1311057e-06 1.3978921e-05 1.4714653e-06 1.4714653e-06 1.9619538e-06 2.2071981e-06 1.9619538e-06 9.31928e-06 3.6786635e-06 0.00085197843 1.569563e-05 9.564525e-06 2.722211e-05 2.6976864e-05 1.9864781e-05 7.1120826e-06 1.2262211e-05 3.2862725e-05 1.2507456e-05 3.6786635e-06 1.103599e-05 1.9374294e-05 1.4959897e-05 4.4389206e-05 0.00039729563 0.00015989924 1.4714653e-06 1.2262211e-06 1.7167096e-06 9.809769e-07 2.2071981e-06 3.6786635e-06 8.0930595e-06 1.2016967e-05 1.9619538e-06 1.7167096e-06 1.1771723e-05 3.188175e-06 3.9239076e-06 4.9048845e-06 0.00028350233 0.00034922778 6.621594e-06 3.188175e-06 1.3243188e-05 3.2126994e-05 2.3788689e-05 1.1281234e-05 1.7657585e-05 3.2862725e-05 1.4959897e-05 8.583548e-06 1.8148072e-05 5.640617e-06 6.37635e-06 1.3243188e-05 0.0004475707 0.000212872 4.4143962e-06 3.4334191e-06 1.0545502e-05 8.338304e-06 1.0055013e-05 2.0110027e-05 1.0790746e-05 2.9429307e-06 1.7167096e-06 1.7167096e-06 1.9619538e-06 1.2262211e-06 7.3573267e-07 3.4334191e-06 0.0002079671 0.00029208587 2.3298202e-05 1.4959897e-05 4.5370183e-05 3.7031878e-05 2.5014911e-05 7.087558e-05 3.1881747e-05 9.074036e-06 1.8148072e-05 2.2562468e-05 1.4714654e-05 2.7467353e-05 2.7957842e-05 2.8938819e-05 0.00031513884 2.4524422e-07 3.6786635e-06 3.6786635e-06 2.3543445e-05 2.2562468e-05 1.863856e-05 1.9864781e-05 2.035527e-05 3.016504e-05 1.6186119e-05 1.1526478e-05 7.357327e-06 7.1120826e-06 5.640617e-06 2.7957842e-05 0.00028374756 0.00052923703 5.861337e-05 8.8042674e-05 0.00021777688 0.00018074499 0.00012556504 0.00014150592 0.00011771723 0.00014395836 0.00010030489 0.00014199641 9.785245e-05 7.038509e-05 9.711671e-05 0.00020943857 0.0011955656 0.0003803738 0.00014175117 0.0002700139 0.00052702986 0.0008196062 0.00051010796 0.000499072 0.0006670643 0.0004080864 0.00054149923 0.00030140515 0.0005640617 0.0004934314 0.00012728175 0.00052531314 0.00075780466 0.0010776031 0.00044045862 0.00034432288 0.0003749784 0.0006481805 0.00054321595 0.0007092463 0.00093364477 0.0012627625 0.0005535162 0.00034922778 0.0005851527 0.00051329617 0.0007828196 0.00036148998 0.0010675481 0.0043746666 0.002408053 0.0036997544 0.0040671304 0.0045563923 0.0047915815 0.0045796908 0.0032882346 0.0018454628 0.0019433153 0.0017569297 0.0017037116 0.0013174519 0.0017230859 0.0013468813 0.0023033337 0.08531164 0.06620172 0.06250564 0.05408665 0.061551396 0.060129713 0.055638313 0.047999937 0.057375133 0.051055677 0.051506683 0.052273072 0.051735986 0.05526039 0.050910737 0.0636296 13061.0 6.6658754 87063.0 0.009671157 0.00921172 0.011968344 0.00805164 0.010762322 0.008671882 0.012898706 0.0102799125 0.012117662 0.00779895 0.00957927 0.008694853 0.009487383 0.008074612 0.012439268 0.009854932 0.011600795 0.008442163 0.011371076 0.009131319 0.014104729 0.009487383 0.013840552 0.011635252 0.009694129 0.008132042 0.010762322 0.0083962185 0.010061679 0.007764492 0.012726417 0.011083928 0.014897258 0.01141702 0.012508184 0.010957583 0.0102913985 0.010406258 0.013714207 0.010716378 0.012289951 0.01141702 0.012106176 0.009992763 0.01172714 0.013243283 0.013335171 0.010923125 0.012542642 0.0096367 0.012014288 0.009648186 0.011738626 0.009935334 0.013312199 0.011589309 0.011554851 0.008442163 0.011543365 0.010073165 0.00901646 0.007626661 0.012014288 0.011635252 0.012175092 0.00952184 0.010084651 0.008660396 0.010613005 0.009487383 0.011233245 0.009372523 0.011348104 0.010544089 0.010567061 0.0102913985 0.011095414 0.009935334 0.01282979 0.010325856 0.011279189 0.007282083 0.010969068 0.0074199145 0.009154291 0.008281359 0.011497421 0.009533326 0.009797503 0.0068226457 0.008545536 0.007282083 0.0089016 0.0064895535 0.009728587 0.008867142 6.5642014 1.0 0.0 0.0 25.0 2040663.0 3416064.0 0.0 0.0 18.0 0.0 1.0 0.0 0.0 0.0 1414566400.0 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 1912832.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1912320.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9193606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5419655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1912832.0 0.0 0.0 0.0 0.0 0.0 1482752.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 103.0 2860608.0 1112.0 3414476.0 14796.0 3399680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12151195 0.00896045 0.0044680946 0.005365757 0.0055679334 0.0035299968 0.00345317 0.002907294 0.006142114 0.0025393334 0.004815838 0.0033278207 0.0048764907 0.0027576836 0.0024099406 0.0059601553 0.0050220573 0.0021066763 0.0020177187 0.002389723 0.0032752547 0.002790032 0.003707912 0.0021673292 0.0033722995 0.0023937665 0.002211808 0.002236069 0.0031782102 0.0021390244 0.0021188068 0.0025716815 0.0064939004 0.0024018534 0.0038494354 0.0026323344 0.003707912 0.0023856794 0.0021915904 0.002296722 0.002543377 0.0024382453 0.0021471116 0.0025474203 0.0025555075 0.0036957813 0.0021228504 0.0020500668 0.0036715202 0.003069035 0.0029719905 0.005119102 0.004185048 0.002874946 0.0029962517 0.0027536403 0.0037604778 0.0035663885 0.0034086911 0.0040273503 0.003153949 0.0031418186 0.0030083822 0.002628291 0.004779446 0.010060289 0.0025797687 0.0028021624 0.0037483473 0.006647554 0.0034895616 0.0036351285 0.0031741667 0.002729379 0.0021956337 0.006105722 0.0026161603 0.0039383927 0.0025312463 0.0028304672 0.0043912674 0.0037766518 0.0029881645 0.0032631243 0.0027334227 0.0038049566 0.003631085 0.0035259533 0.0026727696 0.004743054 0.0024665499 0.003546171 0.0024705934 0.004023307 0.0030488174 0.0038979575 0.0027617272 0.0048764907 0.0029558165 0.0042376136 0.003910088 0.0070357327 0.004415529 0.0036755637 0.0039747846 0.0044074417 0.004548965 0.0026727696 0.004314441 0.0029315553 0.004079916 0.005042275 0.003546171 0.0031337314 0.005018014 0.0046702707 0.009720633 0.008920015 0.0030205129 0.0024463322 0.0039747846 0.003655346 0.0025797687 0.0020621975 0.0027859884 0.003538084 0.0036513025 0.005240408 0.004815838 0.003922219 0.0026768132 0.008370096 0.003699825 0.0062876805 0.0023290701 0.003990959 0.0030771221 0.0072419522 0.0027859884 0.014229163 0.0022522432 0.004650053 0.0030852093 0.0018600213 0.004678358 0.00204198 0.0020702844 0.0020541104 0.0025878558 0.002729379 0.002244156 0.002288635 0.0029153812 0.0028021624 0.0025838122 0.0022724608 0.002567638 0.0046985755 0.0021390244 0.0022077644 0.0024018534 0.0022401125 0.002090502 0.0026080734 0.0023573749 0.002066241 0.0020500668 0.0018721519 0.0023412006 0.0019328047 0.0020460235 0.0020298492 0.002227982 0.0017953248 0.0018883259 0.0019247177 0.0030932962 0.0018883259 0.0036634333 0.0039666975 0.00289112 0.002320983 0.0030205129 0.0025555075 0.0026768132 0.0025393334 0.002058154 0.0023088525 0.0023573749 0.0024342018 0.004593444 0.0021875468 0.0058954586 0.004193135 0.0027091615 0.004088003 0.0032469502 0.0020055883 0.0030973398 0.0036351285 0.0034936052 0.0027981189 0.0019934576 0.0032873855 0.0037645213 0.0019651528 0.0021794597 0.0021794597 0.0034046476 0.0022603301 0.0024180277 0.002296722 0.0044963993 0.0018802389 0.002058154 0.0019408917 0.0029032505 0.0023533313 0.0030407305 0.0022643737 0.0026849003 0.002126894 0.0018519342 0.002636378 0.0035178664 0.0046217483 0.0027617272 0.0019206741 0.0033642123 0.0028304672 0.0019489788 0.0019085435 0.008176006 0.0029881645 0.0023088525 0.005216147 0.0040111765 0.0024139842 0.0026404215 0.0030569045 0.0047592283 0.0038413482 0.003392517 0.003137775 0.003436996 0.002288635 0.0034248652 0.0030811657 0.0043993546 0.0027576836 0.0021188068 0.0020864587 0.0034208216 0.0021915904 0.004787533 0.02411558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003957113 3.2552085e-05 1.8310548e-05 1.0172526e-05 2.2379558e-05 1.6276043e-05 1.2207031e-05 2.0345053e-05 1.6276043e-05 1.2207031e-05 4.0690106e-06 1.42415365e-05 1.2207031e-05 4.0690106e-06 1.0172526e-05 4.0690106e-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 0.0036905925 2.4414063e-05 3.458659e-05 3.6621095e-05 5.2897136e-05 2.4414063e-05 8.3414714e-05 5.086263e-05 0.00010172526 8.138021e-06 6.1035157e-06 8.138021e-06 1.6276043e-05 1.0172526e-05 1.0172526e-05 8.138021e-06 0.0035176596 0.00012410482 8.3414714e-05 6.917318e-05 0.00011393229 1.6276043e-05 1.2207031e-05 5.2897136e-05 2.8483073e-05 1.6276043e-05 1.0172526e-05 2.2379558e-05 3.458659e-05 6.1035157e-06 1.2207031e-05 4.679362e-05 0.0031982423 6.1035157e-06 6.1035157e-06 1.2207031e-05 0.0001180013 9.765625e-05 0.0004679362 0.000193278 8.138021e-06 4.0690106e-06 8.138021e-06 8.138021e-06 1.8310548e-05 8.138021e-06 1.0172526e-05 2.0345053e-06 0.01675822 0.00024414062 0.0009053548 0.00020751954 0.00036621094 0.00024210612 0.003656006 0.0018941243 0.00022786458 5.2897136e-05 7.120768e-05 4.4759116e-05 6.917318e-05 4.4759116e-05 7.120768e-05 0.00014444986 0.013307699 8.544922e-05 0.0015136718 0.0001546224 0.0013854981 0.00067952473 0.0049479166 0.002532959 4.0690105e-05 3.6621095e-05 0.000107828775 5.493164e-05 2.0345053e-05 4.8828126e-05 3.6621095e-05 4.679362e-05 0.011881511 0.00016682943 0.000583903 0.0008870443 0.00096232095 0.00025227864 0.0021525065 0.001389567 0.00020955404 0.00013427735 0.00014241536 0.00010375977 0.00014648438 0.00016276042 8.951823e-05 0.0015686036 0.012705485 0.00045572917 0.001184082 0.00047810873 0.0023498535 0.0014892578 0.0061584474 0.0032165528 0.00024210612 0.00015055339 0.00012207031 0.00012613932 0.00016072592 0.00012817382 0.00010579427 9.358724e-05 0.011592611 0.00065714517 0.0017049153 0.0006429037 0.002693685 0.0014383952 0.005291748 0.0029032389 0.0004984538 0.00023803712 0.00028889973 0.00022989909 0.0003173828 0.00021565755 0.00020955404 0.00024414062 0.007863362 0.0008951823 0.00092773436 0.008231608 0.0011230469 0.0008707682 0.0015970865 0.0010559082 0.0011149088 0.0006551107 0.00068766274 0.0008199056 0.00075480144 0.0006388346 0.00069173175 0.0012390136 0.008247884 0.0006266276 0.00065307616 0.0006266276 0.0013000488 0.00083821616 0.0012471516 0.001365153 0.0024576823 0.0005452474 0.00044555665 0.000777181 0.0008951823 0.0005187988 0.00091145834 0.003544108 0.029101562 0.004760742 0.0044799806 0.005399577 0.011419678 0.008628337 0.0058614095 0.010687256 0.01752116 0.0067443848 0.0016560872 0.008506266 0.007729085 0.0049906415 0.010520427 0.016160075 0.034214273 0.008337403 0.006532796 0.008072916 0.015008545 0.013234456 0.0072672525 0.0150777185 0.026108805 0.0072062174 0.003141276 0.007126872 0.013000488 0.006632487 0.0136372885 0.023734538 0.027085368 0.027431233 0.027573649 0.028147379 0.02717692 0.027372234 0.02729899 0.027803548 0.027073162 0.027237955 0.027270507 0.026822917 0.027534993 0.02736613 0.027555339 0.026749674 1118.0 10.6842575 11945.0 0.034658853 0.0031812473 0.0030138134 0.004855588 0.0053578904 0.0028463793 0.00226036 0.00678108 0.004855588 0.0038509837 0.0030975305 0.0036835496 0.0066136457 0.0030138134 0.0059439098 0.0037672666 0.009208874 0.010046044 0.010632063 0.0087065715 0.011804102 0.008957723 0.011218083 0.0109669315 0.008790289 0.00987861 0.006864797 0.008539137 0.009376308 0.0066973628 0.009208874 0.008036835 0.0077856844 0.008287987 0.004604437 0.008455421 0.006111344 0.0064462116 0.0064462116 0.0077019674 0.007115948 0.006278778 0.0036835496 0.0035161155 0.006278778 0.004688154 0.004604437 0.0042695687 0.00904144 0.0034323984 0.0039347005 0.0102134785 0.008957723 0.004771871 0.00678108 0.008539137 0.0051067392 0.004771871 0.0038509837 0.0036835496 0.005023022 0.0035998325 0.0033486814 0.012306404 0.008120553 0.03365425 0.0102134785 0.025031393 0.0226036 0.061783172 0.00962746 0.009292591 0.011050649 0.029217245 0.0051904563 0.007367099 0.028463792 0.011804102 0.02938468 0.045374632 0.015487651 0.0031812473 0.040853914 0.026454583 0.046714105 0.019087484 0.009376308 0.0056090415 0.008371703 0.010632063 0.0055253245 0.0035998325 0.004604437 0.0029300964 0.0037672666 0.0052741733 6.0753694 0.0 0.0 0.0 5.0 247309.0 7651328.0 0.0 0.0 80.0 1.0 1.0 0.0 0.0 0.0 1525834800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 67072.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67072.0 0.0 139776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5376406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.756017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8947575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7057524 0.0 7.8865833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26638.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7395712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66738.0 0.0 139312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 98516.0 139312.0 7499776.0 0.0 0.0 0.0 0.0 4912.0 7643136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 95808.0 0.0 0.0 324.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.17845437 0.009498828 0.004307661 0.005914451 0.006830001 0.004550282 0.0039368635 0.0035797993 0.009045631 0.002911448 0.010757709 0.0027420714 0.0065599135 0.0043992163 0.0026230498 0.0049119242 0.005497876 0.0022293634 0.0023071852 0.0023529627 0.003588955 0.003039625 0.0023987403 0.0019272321 0.0031952683 0.0029938475 0.0017624332 0.0019318098 0.002677983 0.0022110525 0.001657145 0.0018768769 0.0054246318 0.0015701677 0.0017944775 0.0021332307 0.0060517834 0.0031586464 0.0019455431 0.0014831905 0.0024582508 0.0017075002 0.0017990551 0.0030670916 0.0020233649 0.0024170512 0.002018787 0.001803633 0.003620999 0.0021423863 0.0019272321 0.006006006 0.0023758514 0.0017029224 0.0019409653 0.0018402549 0.0027191825 0.002366696 0.0018722991 0.0034562 0.0024124736 0.0017898997 0.0017853219 0.0018265216 0.005740497 0.015092837 0.0022797186 0.0026138944 0.0037033986 0.009654472 0.0039597526 0.0026138944 0.0031998463 0.0022064748 0.0019501209 0.0019455431 0.0038498864 0.010840109 0.0035385995 0.0022842966 0.0074891965 0.005566542 0.0025726946 0.004495349 0.002746649 0.0037033986 0.0055116094 0.0037766425 0.0026642496 0.002659672 0.0017898997 0.002330074 0.0023163408 0.0029389146 0.0039460193 0.0032639347 0.0027695377 0.0029160257 0.0021011867 0.0024765618 0.004660148 0.0063127154 0.003479089 0.00225683 0.003620999 0.0032181572 0.004641837 0.0016846114 0.0028702484 0.0021790082 0.002984692 0.0026825606 0.0038544643 0.0016663005 0.0031449131 0.0027786933 0.0058686733 0.0075441296 0.0022797186 0.002165275 0.0021835861 0.0019043434 0.0018127884 0.001583901 0.0027008716 0.0027558047 0.002110342 0.0017166557 0.0058366293 0.0027100272 0.0018951879 0.007942393 0.0028427818 0.004586904 0.0021515419 0.0017532776 0.002655094 0.009846737 0.002330074 0.022577455 0.0021423863 0.010895042 0.0017898997 0.0014786128 0.0026642496 0.0016525672 0.0015243902 0.0027512268 0.0017395444 0.0016434117 0.0016525672 0.0016434117 0.0020142093 0.0025864278 0.0015747455 0.0013641691 0.0017853219 0.0013595913 0.0017258112 0.0015701677 0.0020599868 0.00156559 0.0014282576 0.0016708781 0.0018402549 0.0018631436 0.0015930565 0.0015243902 0.002494873 0.0015152347 0.0016846114 0.0016342562 0.0017990551 0.0014603018 0.0015701677 0.0018997656 0.00225683 0.0016891892 0.001657145 0.0017395444 0.001982165 0.0017807442 0.0019730097 0.0017258112 0.005259833 0.0019592764 0.0018585658 0.0018356772 0.0023071852 0.0017532776 0.0021881638 0.0018173661 0.005113345 0.0037766425 0.0037995311 0.0035981103 0.0028290485 0.0021011867 0.0035981103 0.0036301545 0.0025955834 0.0037445982 0.0021194976 0.0022980298 0.0055390755 0.0018127884 0.0026276277 0.0021835861 0.0025269173 0.002128653 0.002403318 0.002494873 0.0021240753 0.001730389 0.0019592764 0.0019363876 0.002677983 0.0018951879 0.0020828755 0.0021561196 0.0023575404 0.0017075002 0.0020645645 0.001982165 0.0029801142 0.0019272321 0.0021790082 0.0018173661 0.0024582508 0.001474035 0.0018356772 0.0017441221 0.011348238 0.005731341 0.0019043434 0.003401267 0.005355966 0.0016525672 0.0017212335 0.001982165 0.005241522 0.0025452282 0.0021606972 0.0022110525 0.0034058448 0.0016708781 0.0024857174 0.0023071852 0.0033646452 0.0020370982 0.0020645645 0.002005054 0.0064820917 0.002146964 0.003309712 0.033898227 0.02825352 0.0 0.0 0.0 0.0 4.606427e-06 2.9941775e-05 9.212854e-06 0.0 2.3032135e-06 2.3032135e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044060475 2.3032135e-06 6.9096404e-06 0.0 4.3761054e-05 6.9096404e-06 2.3032135e-06 4.606427e-06 2.0728921e-05 4.606427e-06 4.606427e-06 4.3761054e-05 2.7638562e-05 2.3032135e-05 4.3761054e-05 7.600604e-05 0.0083146 6.2186766e-05 0.00013358638 3.9154627e-05 0.0001704378 8.752211e-05 0.00031554024 0.00014510244 7.8309255e-05 1.3819281e-05 1.1516067e-05 1.3819281e-05 9.212854e-06 9.212854e-06 1.3819281e-05 1.6122494e-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 0.0034018462 0.0002211085 3.9154627e-05 4.1457843e-05 4.3761054e-05 4.3761054e-05 3.6851416e-05 1.8425708e-05 0.00046755234 3.6851416e-05 3.9154627e-05 3.9154627e-05 2.5335348e-05 0.00010134139 0.00011746389 4.3761054e-05 0.056631412 0.0021558078 0.0018817254 0.0007715765 0.0060919994 0.0017965065 0.0027293079 0.0014302955 0.00051822304 0.0014118699 0.000550468 0.0006955705 0.00072781544 0.00033166274 0.0005804098 0.0066010095 0.0030517578 0.00012207031 4.3761054e-05 0.00026717276 2.0728921e-05 1.3819281e-05 0.000108251035 0.000108251035 0.0002740824 0.0001381928 1.6122494e-05 1.8425708e-05 0.00012667674 1.1516067e-05 4.3761054e-05 0.00035239165 0.01658544 0.0009880785 0.0007577572 0.0007186026 0.0032337117 0.0013404703 0.003238318 0.0016882555 0.0009351047 0.00028790167 0.00029711454 0.00022571492 0.00032475308 0.0005136166 0.0006541126 0.001229916 0.015026164 0.00102493 0.0011677293 0.0009949883 0.0031231574 0.0011631228 0.0016560105 0.0008337633 0.0012944059 0.0006840544 0.00030172095 0.0006356869 0.0012644642 0.0006126548 0.0010387492 0.0021972656 0.010509563 0.0008360665 0.00088213076 0.0009857754 0.0028099203 0.0014556309 0.0031738281 0.0016214623 0.0009166789 0.00073011866 0.00021880527 0.00035008843 0.00069096405 0.0006333837 0.0006840544 0.0018034162 0.008807488 0.0009788657 0.000550468 0.00075084757 0.0050555533 0.0017020748 0.0012207031 0.001133181 0.004410654 0.0004445202 0.0005021005 0.0025128059 0.0037150832 0.00066102226 0.0038233344 0.006184128 0.051027693 0.006435178 0.005933078 0.005969929 0.021599535 0.018552383 0.008286962 0.010018978 0.03230487 0.0019508218 0.0018609965 0.0042033647 0.01300164 0.0042609447 0.014351323 0.021940412 0.03093446 0.007391012 0.007695036 0.007467018 0.012167877 0.010781342 0.007964512 0.007918448 0.02056309 0.0029020489 0.002987268 0.0033926335 0.00980478 0.0053918227 0.0074739275 0.015542084 0.023096625 0.021415278 0.021606445 0.021615658 0.021297814 0.020947726 0.021871315 0.021141196 0.021859799 0.02073583 0.020823352 0.021737728 0.021859799 0.021749245 0.02088554 0.021696271 895.0 10.478212 9378.0 0.026444871 0.002345916 0.0038387715 0.004052037 0.006078055 0.010343357 0.0057581575 0.002132651 0.0045851995 0.0038387715 0.0031989764 0.0045851995 0.0045851995 0.017914267 0.011622948 0.0066112177 0.018554064 0.008637236 0.0077841757 0.0071443804 0.0055448925 0.0050117294 0.004158669 0.0029857112 0.005224995 0.0050117294 0.0057581575 0.004691832 0.0038387715 0.0033056089 0.0024525486 0.0036255065 0.0045851995 0.016421411 0.005224995 0.017061207 0.009596929 0.022392834 0.014608659 0.014928556 0.0055448925 0.01258264 0.002559181 0.0059714224 0.019193858 0.009170399 0.01044999 0.01087652 0.0132224355 0.008210706 0.011942845 0.022712732 0.014928556 0.003518874 0.009490296 0.008850501 0.0061846874 0.003945404 0.0066112177 0.0038387715 0.0038387715 0.0045851995 0.003732139 0.019940285 0.002559181 0.02516528 0.0059714224 0.018980592 0.019940285 0.052889742 0.0077841757 0.0132224355 0.011836212 0.032842822 0.005118362 0.0055448925 0.022606099 0.013542333 0.030283643 0.027511196 0.012262743 0.0020260185 0.031136703 0.02473875 0.038814247 0.012049478 0.00629132 0.009383664 0.0050117294 0.007890808 0.0033056089 0.0015994882 0.0030923437 0.0034122413 0.002559181 0.0022392834 6.13447 0.0 13.0 6.0 2.0 218448.0 217088.0 0.0 0.0 154.0 0.0 1.0 1.0 0.0 0.0 1117011600.0 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 86016.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 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 -86016.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.654889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0524135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.513664 0.0 7.694139 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84110.0 0.0 81920.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -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 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 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 1.0 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 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 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 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 1.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -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 2.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 1.0 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 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 119672.0 8744.0 135168.0 0.0 0.0 5456.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1488.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.12738353 0.0031864874 0.0034324364 0.0032190394 0.0036060475 0.0030381945 0.0035698784 0.0032877603 0.0035047743 0.0031937212 0.0031358507 0.0030273437 0.0064019095 0.003056279 0.0047417535 0.007892072 0.003305845 0.003266059 0.003088831 0.0032009548 0.0031430845 0.003161169 0.0035228587 0.0031322339 0.0032949941 0.00333478 0.0031864874 0.003273293 0.0033854167 0.003056279 0.0034071181 0.0031069156 0.003302228 0.0030707465 0.0031503183 0.003269676 0.0062644677 0.0031792535 0.0032949941 0.0032118056 0.0033166956 0.003197338 0.0034324364 0.0032805267 0.0030996818 0.0030128763 0.0030201098 0.0033275464 0.0030381945 0.0033311632 0.0029730904 0.0033781829 0.0032226562 0.003092448 0.0030707465 0.0032371238 0.0033456308 0.0032805267 0.0033094618 0.0030852142 0.003161169 0.0031467015 0.0031322339 0.0031756365 0.0032515915 0.0034252026 0.0032226562 0.003443287 0.009646268 0.003414352 0.0033239294 0.0031032986 0.0034975405 0.0033926505 0.003262442 0.0031467015 0.0031177662 0.002947772 0.003475839 0.0032479744 0.0034324364 0.0032081886 0.009599248 0.0032515915 0.0032515915 0.0030779804 0.0031286168 0.0030960648 0.0031503183 0.0031141492 0.0032515915 0.0032986111 0.003161169 0.0030454283 0.0031032986 0.00333478 0.0033130788 0.0033673323 0.0034396702 0.0032805267 0.0031864874 0.003443287 0.003161169 0.0031430845 0.0092737265 0.003266059 0.0061053243 0.0032262732 0.0033998843 0.0031177662 0.0032262732 0.003088831 0.003125 0.0030020254 0.0035047743 0.0030960648 0.0034866899 0.0031503183 0.0035445602 0.0030996818 0.0031792535 0.003056279 0.003305845 0.0032588253 0.0033420138 0.0031286168 0.0048611113 0.0032805267 0.0033130788 0.0033745659 0.0032371238 0.0048068576 0.0028826678 0.008036748 0.0032805267 0.0031720197 0.003016493 0.004756221 0.0031503183 0.0029875578 0.00322989 0.0031032986 0.0029875578 0.0030815972 0.0032841435 0.0031901042 0.003269676 0.002983941 0.0030852142 0.0031069156 0.0048611113 0.003121383 0.002980324 0.0035698784 0.0033962673 0.0029586228 0.0032226562 0.0029586228 0.0031322339 0.00333478 0.003056279 0.0032515915 0.00333478 0.0030128763 0.0031467015 0.0030526621 0.0031105324 0.0045283563 0.0032081886 0.003125 0.0030128763 0.0032515915 0.003616898 0.0032407406 0.0031069156 0.0030852142 0.0031430845 0.0032841435 0.0032986111 0.0033239294 0.0033817997 0.0030996818 0.0031069156 0.0033420138 0.0031756365 0.003197338 0.003056279 0.0031069156 0.0031105324 0.0032226562 0.0029730904 0.003092448 0.0048466437 0.0030092592 0.0031394677 0.0031467015 0.0032009548 0.003164786 0.0031394677 0.0031105324 0.0032841435 0.0032841435 0.0032588253 0.0031684027 0.0031720197 0.0030056424 0.0032009548 0.0028935184 0.0034071181 0.0032154224 0.0030852142 0.0032552083 0.0032154224 0.0032588253 0.0029622396 0.003088831 0.0033781829 0.0032371238 0.0030020254 0.0031901042 0.0033781829 0.0031901042 0.0030671295 0.0031503183 0.0032588253 0.003092448 0.0034288194 0.003153935 0.0031322339 0.0031069156 0.003059896 0.003059896 0.0063440395 0.0031141492 0.0032371238 0.0032479744 0.002770544 0.0032986111 0.003016493 0.0030381945 0.0031792535 0.003157552 0.0031684027 0.0030852142 0.0030309607 0.0032045718 0.0033166956 0.0031503183 0.0046368632 0.003125 0.0033962673 0.0031937212 0.003266059 0.003153935 0.0031684027 0.006532118 0.08550186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025938808 1.9966892e-05 1.9966892e-05 2.1782063e-05 0.00034125234 7.442205e-05 0.00036484955 0.00019240823 1.6336548e-05 3.6303438e-06 1.0891032e-05 1.6336548e-05 7.2606877e-06 1.0891032e-05 1.2706204e-05 1.0891032e-05 0.0026319993 7.986757e-05 5.80855e-05 6.897654e-05 6.353102e-05 0.00014702893 4.719447e-05 3.811861e-05 9.257377e-05 5.445516e-05 6.1715844e-05 0.00011072549 5.445516e-05 7.986757e-05 4.1748954e-05 8.7128254e-05 0.004601461 6.353102e-05 6.534619e-05 7.2606876e-05 0.0005372909 0.00017425651 0.0010037901 0.00049554196 5.445516e-05 4.53793e-05 5.9900674e-05 6.353102e-05 3.9933784e-05 5.2639985e-05 4.1748954e-05 6.353102e-05 0.0022744103 3.0857922e-05 0.00010891032 1.2706204e-05 0.00016336548 0.00014702893 0.0003866316 7.623722e-05 0.00017607168 3.9933784e-05 3.6303438e-05 2.1782063e-05 3.9933784e-05 1.0891032e-05 7.623722e-05 0.000116171 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006648975 0.00017607168 0.00051187846 0.00013432272 0.0009366287 0.000918477 0.0013650093 0.00047012954 0.0011163307 0.00031402474 0.00031583992 0.00017062617 0.00032128542 0.00015973514 0.00053003023 0.00078052393 0.027851999 0.0013504879 0.0040278663 0.0013595638 0.006648975 0.0066689416 0.008449625 0.0016917402 0.006981151 0.0016300244 0.0015846451 0.0003358068 0.001720783 0.00035214337 0.0031947026 0.0042184596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010691363 0.00010891032 0.00017425651 8.7128254e-05 0.00027590615 0.00027046062 0.00028316682 0.00016881099 0.00034125234 0.00011435583 0.00011072549 7.442205e-05 0.00011254066 8.5313084e-05 0.0001361379 0.0003049489 0.050723165 0.05014957 0.04957779 0.049363602 0.050073333 0.049218386 0.049260136 0.05036013 0.04977383 0.050381914 0.050091486 0.050222177 0.049864586 0.050438184 0.049485218 0.050273 1053.0 5.987654 6305.0 0.008723236 0.0069785886 0.009833465 0.008406027 0.008247423 0.008088819 0.009040444 0.011419509 0.008564631 0.009040444 0.010785091 0.009040444 0.0074544013 0.0063441712 0.009833465 0.010467882 0.009516257 0.009833465 0.009357653 0.010150674 0.00888184 0.009674861 0.009040444 0.013322759 0.009357653 0.008088819 0.008406027 0.009357653 0.0079302145 0.009040444 0.009040444 0.009516257 0.009199048 0.013481364 0.010309278 0.010467882 0.010309278 0.0126883425 0.01221253 0.009516257 0.011736717 0.0126883425 0.009833465 0.008088819 0.009516257 0.0076130056 0.010943696 0.011895321 0.007137193 0.009199048 0.00999207 0.011895321 0.009040444 0.008723236 0.009833465 0.008247423 0.009357653 0.007295797 0.00999207 0.008247423 0.008723236 0.008406027 0.00777161 0.0106264865 0.00999207 0.015067407 0.0106264865 0.0126883425 0.011419509 0.024742268 0.0111023 0.010467882 0.012053926 0.015067407 0.00999207 0.008723236 0.019825535 0.011895321 0.013322759 0.013481364 0.009040444 0.009833465 0.019508326 0.009674861 0.01966693 0.010943696 0.013164155 0.010309278 0.011260904 0.009040444 0.011578113 0.00888184 0.010943696 0.009357653 0.00999207 0.008564631 6.5396233 0.0 0.0 0.0 1.0 276480.0 290816.0 0.0 0.0 46.0 0.0 1.0 0.0 0.0 0.0 1407152800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 1.0 5.0 1.0 271360.0 1024.0 4096.0 4.0 0.0 0.0 1.0 3.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 271360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 4.761976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2318949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.539428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.23787 0.0 0.0 0.0 0.0 0.0 0.0 1338.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -693.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 270961.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1098.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 278728.0 1098.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.12864445 0.01729474 0.008815269 0.008659111 0.0102981785 0.004158722 0.0036726375 0.0029106357 0.0109181125 0.0019055916 0.0019924762 0.0023165324 0.0075037805 0.0027380404 0.0014007214 0.012041742 0.0076129735 0.002100495 0.0010179593 0.0013678462 0.0042279945 0.003918028 0.0010801875 0.00093107467 0.004098842 0.0012786132 0.00072090776 0.0009052441 0.0028812827 0.00079839944 0.00080544414 0.0009275523 0.010316964 0.00086884643 0.0014629496 0.00054244197 0.0052588694 0.0043489286 0.0005295267 0.0005870584 0.0028296215 0.0009263782 0.00053891964 0.0010660981 0.004309009 0.0006281525 0.0019138104 0.000723256 0.00504518 0.0022202549 0.0031560261 0.0055606174 0.003437814 0.0024175067 0.0020770126 0.0018703681 0.0033215764 0.0030902755 0.0025396147 0.0037336915 0.0035434845 0.0033133577 0.0026875534 0.0028624968 0.005970384 0.004603712 0.0020464857 0.004786874 0.003667941 0.0074744276 0.006007956 0.004271437 0.0032699155 0.0020547044 0.0011177593 0.0009263782 0.0023834573 0.0052682622 0.0036338917 0.002541963 0.009372975 0.0034143317 0.0039145057 0.005323446 0.0028695415 0.0039133313 0.006078403 0.004375933 0.02454139 0.0050193495 0.0011635497 0.004409983 0.0012739168 0.006863887 0.0035305694 0.0031912494 0.0014746907 0.004070663 0.000954557 0.0033016165 0.005000564 0.009337751 0.002853104 0.0018374928 0.007932333 0.0036562 0.0086567635 0.0009839099 0.0041446323 0.0034213765 0.005577055 0.0074650347 0.003798268 0.0010919287 0.00434071 0.0042444323 0.016261518 0.01041559 0.0026077135 0.001778787 0.0023435373 0.0017764388 0.0006070184 0.00086884643 0.0015850577 0.0016555047 0.0015157849 0.0008735429 0.0027685675 0.0035622704 0.001296225 0.01349295 0.011142368 0.00636841 0.0027392146 0.0026816828 0.0020230033 0.015614579 0.0010261781 0.041775078 0.0012351709 0.009647718 0.0024057655 0.0014394672 0.0015474859 0.00079722534 0.00037454328 0.00077961356 0.0013948508 0.00053891964 0.00056122785 0.00045673145 0.0015662719 0.0009404676 0.00038628443 0.0004050703 0.0016742906 0.0005095667 0.00058353605 0.000502522 0.0013408414 0.0013537568 0.0005999737 0.0006293266 0.001225778 0.0008101406 0.00042150795 0.00038511032 0.003426073 0.0006481125 0.00041446325 0.00037571738 0.0019431633 0.00037102093 0.00039450327 0.00063167483 0.0018351446 0.0006528089 0.00041328912 0.0017236035 0.0010660981 0.0006563313 0.002210862 0.0013150108 0.0024233772 0.00054009375 0.00058353605 0.0006704207 0.0011036699 0.00055535726 0.0007326489 0.0005436161 0.008330359 0.006623193 0.0034636445 0.005417375 0.0047058603 0.00078078767 0.0030714895 0.0034436847 0.0034824305 0.0022226032 0.0010297005 0.0017165588 0.0031689412 0.00057531724 0.0030198286 0.0036010162 0.0026194546 0.0011435898 0.0017153847 0.0014641237 0.0021638973 0.0011142369 0.0017940506 0.001286832 0.0033016165 0.0012022957 0.00061171484 0.009390586 0.004178682 0.004311357 0.0036914232 0.000452035 0.0020687939 0.0006974254 0.00054244197 0.00045790555 0.0016648977 0.0015486601 0.00062463013 0.0004931291 0.022966899 0.00414111 0.0004884326 0.00257249 0.0043571475 0.00039332913 0.0004402938 0.0005013479 0.0032182543 0.0018750646 0.0017165588 0.0015110883 0.0013584532 0.00045790555 0.0020276997 0.0014429896 0.0031395885 0.0023740642 0.001838667 0.001698947 0.005595841 0.0009909546 0.002140415 0.041940626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00086125755 1.8237011e-05 0.00012471763 6.471197e-06 9.824454e-05 0.0001200113 0.00069241814 0.00023119822 5.294616e-06 1.8237011e-05 4.1180347e-06 4.7063254e-06 4.1180347e-06 9.706796e-05 4.1180347e-06 0.000119423006 0.015109657 0.0005029885 0.00084890344 0.00031650037 0.0009936229 0.0022555063 0.00095420744 0.0003976845 0.0001453078 0.000376506 0.00016295651 0.00013589514 0.00012471763 0.0018913544 0.000110598645 0.0021796168 0.023666345 0.00086066924 0.009292639 0.0026261294 0.005194018 0.012231152 0.019690089 0.009206749 0.0022166793 0.00055064005 0.00025943617 0.0002588479 0.0006600621 0.0028655638 0.0005165192 0.0026755459 0.009537957 0.00029238046 0.0038321253 0.0018372317 0.006587679 0.0063970727 0.013608928 0.006278238 0.0019607728 0.0003017931 0.00046827938 0.00018413497 0.00033238422 0.00071594975 0.00030532284 0.0003717997 0.013094174 0.0021143167 0.0030655826 0.023969904 0.003460914 0.0042168675 0.005713479 0.0037268214 0.0054169805 0.0019584196 0.0017895802 0.0017825207 0.0027561418 0.0024290523 0.0025061183 0.002722021 0.023522213 0.003109116 0.0022496234 0.0017019248 0.0033403144 0.0061235176 0.0045333677 0.0036991716 0.0127512 0.0017519296 0.001613093 0.00135601 0.0050122365 0.0041074455 0.004222162 0.005244023 0.065693244 0.011179876 0.007253624 0.0073301014 0.015210844 0.023272779 0.010769838 0.012430581 0.0424187 0.003099115 0.0039756685 0.005039298 0.019714797 0.011204584 0.013961902 0.024553487 0.07256683 0.01577972 0.009269108 0.012184676 0.024330525 0.033856716 0.013594809 0.018908251 0.05368211 0.004168628 0.0059070266 0.007496 0.025324736 0.016404485 0.021620858 0.03478504 0.0010195078 0.0007847797 0.00086596387 0.00084890344 0.00080595823 0.00086831703 0.0010612763 0.0009012613 0.0007806617 0.0007641896 0.0007577184 0.00075124716 0.00076713104 0.00075889495 0.00075477693 0.0007624247 4173.0 27.554277 114984.0 0.053885758 0.0026699367 0.0007392333 0.00051311485 0.002904752 0.02735163 0.0006000835 0.0008696862 0.0033308982 0.0018698254 0.00069574895 0.00072183955 0.018254714 0.0017741598 0.011436374 0.0014436791 0.011105893 0.0066965837 0.010184025 0.007992417 0.007940236 0.005383358 0.006000835 0.004548459 0.0059399568 0.005879079 0.009375217 0.006261741 0.007070549 0.011601614 0.005731232 0.009566548 0.015480415 0.015584777 0.005609476 0.018854797 0.008270716 0.007888054 0.0046441243 0.002652543 0.003278717 0.0108015025 0.00087838306 0.0014088916 0.0064704656 0.005383358 0.0058529885 0.0042788563 0.01034057 0.003530926 0.020768106 0.021524735 0.009244764 0.005313783 0.010514506 0.002469909 0.0040527377 0.0016350101 0.0019394002 0.021863911 0.0018785222 0.021707367 0.0011131983 0.010714534 0.0016176164 0.027125513 0.003783135 0.019559244 0.026899396 0.06036492 0.0076010576 0.010784109 0.0075488766 0.023907674 0.0022176998 0.0032439297 0.023803312 0.022942323 0.036735546 0.0515463 0.01618486 0.003670076 0.023577193 0.022872748 0.041475337 0.0191244 0.0052181175 0.0032004453 0.0040788283 0.008340291 0.0010436234 0.00069574895 0.0024351215 0.00048702428 0.0007305364 0.0008957768 5.860093 0.0 33.0 0.0 2.0 851704.0 905216.0 1.0 5.0 232.0 1.0 1.0 1.0 0.0 0.0 1542170800.0 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 617472.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 163328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -617984.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7019033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.974906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9479346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.367171 0.0 4.344192 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 162830.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -617241.0 0.0 1160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 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 -1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 1.0 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 -2.0 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 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 168.0 777488.0 340.0 777656.0 1160.0 860160.0 0.0 0.0 13048.0 838656.0 39712.0 864256.0 112.0 728288.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 728400.0 0.0 0.0 992.0 622592.0 0.0 0.0 0.0 0.0


Input: 0.046161294 0.0010009765 0.00033121745 0.00033528646 0.0007413737 0.00028808592 0.00034667968 0.00018636067 0.00037841796 0.00010579427 9.765625e-05 6.673177e-05 0.0003881836 0.00013590495 7.242838e-05 0.00014973959 0.00052164716 0.00018066406 0.00010904948 9.358724e-05 0.00029622397 0.0002335612 0.00013590495 0.000100097655 0.0001928711 8.219401e-05 3.90625e-05 4.0690105e-05 0.00020589192 3.4179688e-05 5.2897136e-05 2.6041667e-05 0.006097819 8.3821615e-05 5.2083335e-05 4.4759116e-05 0.0011059571 0.00030273438 2.6041667e-05 5.5338543e-05 0.0001920573 0.00011474609 3.7434897e-05 5.859375e-05 0.00013916015 5.452474e-05 7.5683594e-05 3.98763e-05 0.00019042968 4.3945314e-05 7.486979e-05 0.00016276042 0.00011311849 3.173828e-05 4.0690105e-05 2.9296874e-05 9.765625e-05 2.7669272e-05 9.1959635e-05 0.00011962891 0.00013020834 5.126953e-05 3.98763e-05 2.6041667e-05 0.0015332032 0.0012052408 7.161458e-05 0.00025309244 0.0005574544 0.00012695312 0.00022786458 6.0221355e-05 0.00013509115 0.00014485676 4.2317708e-05 4.2317708e-05 0.0003816732 0.00021321615 0.00016438802 0.00011230469 0.00069091795 0.00034993488 0.00033610026 0.00024495443 0.0006762695 0.00018391927 0.00024658203 0.0002709961 7.242838e-05 6.917318e-05 4.2317708e-05 0.00010904948 0.00010904948 7.97526e-05 0.00024902343 0.00017985026 0.0001171875 0.0023063151 0.0005029297 0.0013566081 0.0017488607 0.004875488 0.0006746419 0.00040039062 0.0016813151 0.0024804687 0.0004378255 0.00020019531 0.0013533529 0.000789388 0.002319336 0.0025976563 0.00092692056 0.00012613932 0.0024324544 0.0022224935 0.0030867513 0.0011287435 0.00046223958 0.00032552084 0.00018473307 0.00041178384 5.5338543e-05 3.173828e-05 0.00012369792 3.3365886e-05 9.2773436e-05 2.7669272e-05 0.0005533854 0.00016682943 7.405599e-05 0.0004313151 0.00017822266 0.0003100586 0.0002726237 2.9296874e-05 0.00021647135 0.000616862 0.00012776692 0.001985677 7.8125e-05 0.00060139975 0.00018391927 2.6855469e-05 0.0016512044 3.2552085e-05 2.8483073e-05 5.7779947e-05 8.951823e-05 2.4414063e-05 0.00012207031 1.7089844e-05 8.138021e-05 2.8483073e-05 2.1972657e-05 1.6276043e-05 0.00016438802 2.0345053e-05 4.1503907e-05 9.765625e-06 0.00014648438 9.033203e-05 2.8483073e-05 1.3834636e-05 8.951823e-05 2.4414063e-05 2.0345053e-05 1.6276043e-05 0.00010253906 3.0110677e-05 2.7669272e-05 5.6152345e-05 0.00033772786 5.7779947e-05 0.00010335287 5.2897136e-05 9.1145834e-05 1.4648437e-05 1.7089844e-05 2.1158854e-05 7.324219e-05 2.6855469e-05 3.092448e-05 3.7434897e-05 0.00018961588 4.313151e-05 4.3945314e-05 3.4179688e-05 7.486979e-05 1.953125e-05 6.8359375e-05 1.7089844e-05 0.00045898437 0.00021647135 0.00022542318 0.0002742513 0.0003157552 3.6621095e-05 0.00014729818 0.00022379558 0.00012369792 8.056641e-05 3.499349e-05 3.3365886e-05 0.00049072265 5.045573e-05 0.00023925782 6.673177e-05 0.00011067709 5.3710937e-05 6.0221355e-05 4.1503907e-05 6.347656e-05 0.00016764323 4.1503907e-05 3.8248698e-05 6.917318e-05 1.7089844e-05 1.2207031e-05 3.7434897e-05 4.313151e-05 1.2207031e-05 8.951823e-06 1.6276043e-05 9.684245e-05 3.3365886e-05 4.8828126e-05 1.4648437e-05 5.2083335e-05 9.765625e-06 1.546224e-05 1.6276043e-05 0.0008902995 0.0002685547 3.173828e-05 0.00010579427 9.847005e-05 2.6855469e-05 1.3834636e-05 1.953125e-05 0.00015380859 0.0001546224 3.4179688e-05 6.998698e-05 7.486979e-05 3.6621095e-05 9.440104e-05 5.045573e-05 0.00012939452 3.580729e-05 5.126953e-05 3.4179688e-05 7.242838e-05 2.9296874e-05 4.4759116e-05 0.87553954 0.008691325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.795312 0.0053910487 8.144808e-07 5.701366e-06 1.2217213e-06 2.036202e-06 1.2217213e-06 1.8325818e-05 1.0588251e-05 8.144808e-07 4.072404e-07 0.0 0.0 0.0 0.0 8.144808e-07 0.05878719 0.0034611362 4.4796443e-06 2.036202e-06 1.2217213e-06 2.850683e-06 1.6289616e-06 3.2579233e-06 1.2217213e-06 1.5475136e-05 1.2217213e-06 1.2217213e-06 3.2579233e-06 1.6289616e-06 1.2217213e-06 4.072404e-06 0.012340606 0.005966072 7.737568e-06 6.923087e-06 2.850683e-06 7.737568e-06 8.552049e-06 2.0769261e-05 7.737568e-06 4.072404e-07 8.144808e-07 8.144808e-07 3.6651636e-06 5.2941255e-06 1.2217212e-05 3.2579233e-06 0.0072896034 0.0010877391 1.6289616e-06 4.072404e-06 2.850683e-06 2.9321309e-05 1.018101e-05 6.923087e-05 3.2986474e-05 4.072404e-07 8.144808e-07 1.2217213e-06 8.144808e-07 0.0 8.144808e-07 0.0 0.00042597347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010934405 2.4434425e-05 0.0017755682 1.18099715e-05 9.407254e-05 0.00016900476 0.0062311855 0.0030245746 2.2805463e-05 1.6289616e-06 1.2217213e-06 3.6651636e-06 3.6651636e-06 1.6289616e-06 6.108606e-06 4.5610926e-05 0.0027089631 2.1176502e-05 0.0039933994 6.027158e-05 0.0005151591 0.00053592835 0.013862464 0.0064796023 4.886885e-06 1.91403e-05 3.6651636e-06 4.886885e-05 4.4796443e-06 4.072404e-06 1.0995491e-05 8.389152e-05 0.005051003 0.00017592785 0.00029891447 0.000159231 0.0003640729 0.00029647103 0.00096068013 0.0005575121 0.00026348454 3.3393713e-05 8.511324e-05 2.7692347e-05 6.271502e-05 1.6289616e-05 8.06336e-05 0.00074117753 0.0024621754 0.00016859753 0.00040153903 8.348429e-05 0.00046832647 0.00016737581 0.0009207706 0.00045000066 0.00015882376 8.796393e-05 0.000110362154 8.06336e-05 6.108606e-05 1.91403e-05 3.5837154e-05 0.00016208168 0.004051635 0.0002488239 0.00018733059 0.00017226269 0.0012465629 0.00019303196 0.00017185546 0.0001633034 0.00031113168 0.00015760204 0.0004646613 0.00017552062 0.0002728511 0.000112805596 0.0001421269 0.00026877868 0.00075624546 0.000107918706 5.782814e-05 4.6018165e-05 0.00015475135 3.82806e-05 0.00013357485 7.900464e-05 0.0001038463 2.5656145e-05 3.950232e-05 2.6877868e-05 1.7104097e-05 1.954754e-05 1.3438934e-05 4.846161e-05 0.0027614972 0.000201584 0.00014171966 0.0001380545 0.00033841678 0.00057095103 0.00037221774 9.6108735e-05 0.0012408615 0.00064547604 0.00014945724 0.00013276037 0.0005803176 0.00014538482 0.00039787387 0.00042760244 0.00512227 0.0009346167 0.0010404992 0.00035022676 0.0014530338 0.0012583729 0.0007762002 0.00049357535 0.0025102298 0.0011862913 0.00025004562 0.00023905012 0.001505975 0.0002940276 0.00073791965 0.0010303182 0.0014990519 0.00044063412 0.000562399 0.0002398646 0.00059131306 0.0006540281 0.00029606378 0.00027570175 0.0012241646 0.0002480094 9.081461e-05 5.7420897e-05 0.00050049846 0.00015475135 0.00030746651 0.0003640729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1130.0 43.476105 49128.0 0.14468327 0.0013027195 0.0002442599 6.106497e-05 0.0016487542 0.0010381045 0.0 0.00034603485 0.0018523042 0.0017505293 0.00010177495 0.0 0.00079384464 0.0008345546 0.0010584595 0.00030532488 0.00034603485 0.0002035499 0.0004478098 0.0004681648 0.00016283993 8.141997e-05 0.00010177495 2.0354992e-05 0.0002035499 4.0709983e-05 0.0012620095 0.00014248493 0.00014248493 2.0354992e-05 2.0354992e-05 0.00014248493 0.0002239049 0.0027275688 0.00034603485 0.004111708 0.002198339 0.0010381045 0.00087526464 0.00056993973 0.00054958474 0.0027886338 0.00012212995 0.00010177495 0.0014452044 0.0015673343 0.0015266243 0.0013027195 0.0017301743 0.0008345546 0.002137274 0.002483309 0.012375834 0.0015266243 0.0004681648 0.0014248494 0.00012212995 8.141997e-05 4.0709983e-05 0.0002239049 0.00026461488 0.00030532488 0.00032567987 0.0013027195 8.141997e-05 0.055487707 0.01178554 0.03258834 0.037046082 0.11793682 0.014777724 0.009078326 0.028191663 0.05945693 0.0011398795 0.004050643 0.030349292 0.018400911 0.055324867 0.06285621 0.020334637 0.002076209 0.05713646 0.05249552 0.068006024 0.0228383 0.0107067255 0.0075924117 0.0028089888 0.009648265 0.0007327797 0.0 8.141997e-05 2.0354992e-05 0.0 0.0 4.4901714 1.0 0.0 0.0 1.0 1228800.0 1228800.0 0.0 0.0 74.0 0.0 1.0 0.0 0.0 0.0 1422452000.0 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 45056.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 1105920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.958409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.47935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0977817 0.0 0.21991186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17838.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44338.0 0.0 1105008.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -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 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 -1.0 1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 -2.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 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 0.0 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 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 -1.0 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 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 -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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 2.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 64624.0 1105008.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1084.0 49152.0 0.0 0.0 0.0 0.0