Input: 0.17526856 0.0037109375 0.0026123046 0.0030354818 0.0029866537 0.0028564453 0.0028971354 0.0032145183 0.0038004557 0.002726237 0.0026692708 0.0038167317 0.0044270833 0.0026123046 0.002693685 0.0030192058 0.0028238932 0.0024739583 0.0026204428 0.0030273437 0.0029459635 0.0029378256 0.0026448567 0.0028401692 0.003523763 0.0021972656 0.002416992 0.002766927 0.0037027996 0.0027750651 0.0034179688 0.002709961 0.003141276 0.0025390624 0.0022949218 0.0029378256 0.0048177084 0.0032470704 0.002718099 0.0035888671 0.0030273437 0.0034505208 0.0022949218 0.0041910806 0.002709961 0.00316569 0.0041015623 0.0029378256 0.0033203126 0.0033365886 0.0029215494 0.0030192058 0.003474935 0.0026367188 0.0032389322 0.0037597655 0.0032063802 0.0033854167 0.004012044 0.002726237 0.0034342448 0.0033610025 0.0025309245 0.0028645834 0.0035481772 0.002726237 0.0028076172 0.003157552 0.0039550783 0.004296875 0.0029541017 0.003141276 0.0026774087 0.002368164 0.0024658204 0.0039225263 0.0032633464 0.003458659 0.0026285807 0.0026041667 0.002758789 0.0026529948 0.0025390624 0.0031901042 0.0033447265 0.0033121745 0.0030029297 0.002734375 0.0028320313 0.0025065104 0.0029947916 0.0025309245 0.0030354818 0.0029459635 0.0034993489 0.0034098306 0.0029541017 0.0040445966 0.0025472005 0.0037516276 0.0031819663 0.0039225263 0.003914388 0.002734375 0.0025472005 0.0028564453 0.0026611327 0.0036376952 0.0030843099 0.0055419924 0.0029378256 0.004337565 0.003100586 0.002351888 0.0032145183 0.0038818358 0.0032796224 0.003133138 0.0026285807 0.002750651 0.0035481772 0.0030029297 0.0026529948 0.0028483074 0.0026774087 0.002783203 0.0052083335 0.0028320313 0.0028238932 0.0026123046 0.0025716147 0.0041585285 0.0025390624 0.0026367188 0.002400716 0.0028889973 0.0028483074 0.005834961 0.0025634766 0.005900065 0.0026285807 0.0029215494 0.0036376952 0.003572591 0.003556315 0.002783203 0.0026041667 0.0037272135 0.0029703777 0.0025878907 0.002368164 0.0029622396 0.0030192058 0.0026529948 0.0045817057 0.0024332681 0.0036132813 0.002718099 0.0030273437 0.0028971354 0.00230306 0.0025227864 0.002742513 0.002734375 0.0029052733 0.0024332681 0.0028483074 0.0024983725 0.0030436197 0.0026529948 0.0030354818 0.00390625 0.0044921874 0.0028645834 0.0029785156 0.005037435 0.0029866537 0.003507487 0.0033610025 0.0031901042 0.004361979 0.0020589193 0.0028401692 0.0040283203 0.0030843099 0.0037597655 0.0030517578 0.0029215494 0.0038981119 0.0024739583 0.0028401692 0.0032877603 0.033406574 0.002799479 0.0028808594 0.0033121745 0.003059896 0.0025878907 0.00238444 0.0032145183 0.003076172 0.0030192058 0.0035807292 0.00316569 0.0026692708 0.002758789 0.002351888 0.0024495444 0.0026123046 0.002701823 0.002701823 0.003092448 0.002758789 0.0026611327 0.0028076172 0.0029134115 0.002799479 0.0024088542 0.0028808594 0.002327474 0.0033935546 0.0024495444 0.002693685 0.003125 0.0029785156 0.002742513 0.0024414062 0.0025472005 0.0030517578 0.0030517578 0.0033610025 0.0028401692 0.0033528646 0.0035644532 0.004036458 0.003458659 0.003458659 0.0025634766 0.002709961 0.002758789 0.0035481772 0.002783203 0.002742513 0.0030680338 0.004296875 0.0030192058 0.0031819663 0.0044108075 0.0039876304 0.002726237 0.0026285807 0.0041259765 0.0029296875 0.0029052733 0.0038248699 0.005786133 0.05882353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007853532 4.103204e-06 1.23096115e-05 2.051602e-05 9.0270485e-05 4.9238446e-05 0.00024619224 0.00011899291 4.103204e-06 4.103204e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.01569065 5.7444853e-05 4.103204e-05 0.0005990678 3.2825632e-05 5.7444853e-05 4.103204e-05 1.6412816e-05 2.4619223e-05 3.2825632e-05 0.0 4.103204e-05 4.9238446e-05 2.4619223e-05 6.5651264e-05 3.2825632e-05 0.019699482 7.7960874e-05 0.000102580096 4.5135243e-05 0.000102580096 6.975447e-05 0.00015592175 7.7960874e-05 8.206408e-06 1.23096115e-05 1.23096115e-05 2.4619223e-05 0.004772026 2.4619223e-05 1.23096115e-05 1.23096115e-05 0.0068154214 1.23096115e-05 0.00015181855 0.00017233456 0.00016823136 6.5651264e-05 0.0006359966 0.0003241531 1.6412816e-05 0.0 1.23096115e-05 8.206408e-06 0.0 8.206408e-06 8.206408e-06 4.103204e-06 0.0066307774 4.103204e-05 0.000114889706 0.00014361214 0.00018464417 8.206408e-05 8.206408e-05 4.9238446e-05 0.00029543068 7.7960874e-05 8.206408e-06 2.4619223e-05 0.0001107865 3.6928835e-05 0.00013540573 0.00038570116 0.006507681 0.00013540573 0.00014771534 0.0003200499 0.00015592175 0.00016823136 0.00035287553 0.00014771534 9.0270485e-05 5.334165e-05 4.9238446e-05 5.7444853e-05 5.334165e-05 4.5135243e-05 5.7444853e-05 6.154806e-05 0.009429162 0.00015181855 0.0003118435 0.0005129005 0.0004144236 0.00028312107 0.0012350644 0.00059086137 0.0001107865 5.7444853e-05 6.154806e-05 6.5651264e-05 0.0033974526 5.334165e-05 6.5651264e-05 6.5651264e-05 0.0041770614 0.000114889706 0.00013540573 0.0001066833 0.00012309612 6.5651264e-05 9.437369e-05 0.000102580096 0.0001066833 0.00012719932 0.000102580096 0.00016412816 0.0027204242 5.7444853e-05 0.00011899291 8.616728e-05 0.004911535 0.00018054097 0.00022567621 9.847689e-05 0.00044724921 0.00027081146 0.00015181855 0.00013130253 0.00074267987 6.154806e-05 4.9238446e-05 0.000114889706 0.00035697874 9.847689e-05 0.0003159467 0.00024619224 0.002273175 0.000114889706 0.0002092634 0.0002174698 0.00015181855 0.00018054097 0.00017233456 0.00018054097 0.00015181855 0.00017643777 0.00020516019 0.00014771534 0.0037831538 0.00015181855 0.00013130253 0.00015592175 0.020507812 0.0014689469 0.0015387015 0.0014935662 0.0013786765 0.0012843028 0.001752068 0.0014976694 0.0013376444 0.0015674238 0.0016248687 0.0016207655 0.008875229 0.0014032957 0.0014484309 0.0016207655 0.0036190257 0.0005005909 0.0007755055 0.00059496454 0.0009232208 0.00050469406 0.00045545562 0.00045135242 0.00126789 0.00042263 0.00034056592 0.0004185268 0.0043206736 0.00038980437 0.0007221639 0.0010996587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006524094 0.0014073988 0.0027737657 0.0014197085 0.00454635 0.0025439863 0.0011735163 0.0012637868 0.0078083966 0.00070575107 0.000443146 0.00093553046 0.0027122176 0.0011037618 0.0026711856 0.003984211 0.043124672 0.041864987 0.044950597 0.045869716 0.041573662 0.041992188 0.0484096 0.045282956 0.04100742 0.0455989 0.0464893 0.04843832 0.046173353 0.041278232 0.043563716 0.0486681 458.0 5.9694324 2734.0 0.013899049 0.0073152888 0.009509875 0.0058522313 0.009144112 0.00987564 0.005120702 0.0073152888 0.009509875 0.005486467 0.0062179957 0.0120702265 0.0047549377 0.010972934 0.016093636 0.014264814 0.010241404 0.01316752 0.009144112 0.009144112 0.009144112 0.009144112 0.00658376 0.013533285 0.010241404 0.012435991 0.012435991 0.008412582 0.01316752 0.0029261156 0.005486467 0.0069495244 0.011704463 0.010241404 0.010972934 0.010241404 0.009509875 0.008412582 0.010241404 0.011338698 0.00658376 0.0076810536 0.0069495244 0.012801755 0.008778347 0.009144112 0.009509875 0.009144112 0.009144112 0.008046818 0.011704463 0.010607169 0.012435991 0.010607169 0.009144112 0.010607169 0.0062179957 0.008046818 0.010607169 0.0076810536 0.009509875 0.010241404 0.0120702265 0.016093636 0.011704463 0.014264814 0.008778347 0.010241404 0.015727872 0.024140453 0.014996342 0.009144112 0.010972934 0.012801755 0.00658376 0.0076810536 0.00987564 0.016825164 0.016825164 0.016825164 0.013533285 0.008778347 0.01316752 0.013533285 0.014264814 0.008412582 0.011338698 0.008412582 0.012801755 0.015727872 0.009509875 0.012801755 0.0058522313 0.010241404 0.010972934 0.0076810536 6.5154915 0.0 0.0 0.0 1.0 122880.0 126976.0 1.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1026959000.0 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 5.0 1.0 14.0 0.0 6.0 0.0 6.0 0.0 8192.0 4096.0 4096.0 8.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 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 24576.0 0.0 0.0 -8192.0 0.0 4096.0 24576.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5310984 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8911963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.66495 0.0 0.0 0.0 0.0 0.0 0.0 7.902007 0.0 0.0 -6.4630303 0.0 3.3849783 7.895193 0.0 0.0 -7.5944676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1180.0 0.0 0.0 0.0 0.0 0.0 0.0 23049.0 0.0 0.0 -6676.0 0.0 984.0 23163.0 0.0 0.0 -28252.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4180.0 12980.0 984.0 118784.0 0.0 0.0 0.0 0.0 160.0 122880.0 56.0 10880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.017913766 0.0037038536 0.0049097985 0.0030679917 0.002862222 0.0037932454 0.0027913833 0.0030275125 0.0020846827 0.0026868118 0.00707038 0.0017422955 0.0035604895 0.0035503698 0.0042688767 0.0031287107 0.0020290236 0.0025940468 0.0023461112 0.0017760282 0.0068882233 0.013786566 0.001693383 0.0014825534 0.004162619 0.0015601387 0.0029381206 0.0032029226 0.0037730057 0.0041002133 0.0031354572 0.0035385631 0.0055473475 0.0017591618 0.002514775 0.00278801 0.0020256503 0.001976738 0.0015702585 0.0021217887 0.0043346556 0.0049603977 0.011931267 0.004611264 0.0022786458 0.0032315955 0.0035604895 0.0019750514 0.0034457983 0.005975753 0.0021234753 0.0017507286 0.0026429594 0.0029161945 0.0029398073 0.00316919 0.004601144 0.00204589 0.003627955 0.004171052 0.0031573835 0.0032585815 0.0033277336 0.0032585815 0.0023359915 0.0027829502 0.001873853 0.0054259095 0.0018637333 0.002199374 0.0029077611 0.0029651069 0.0020914292 0.0019497517 0.003034259 0.00445778 0.004176112 0.0029988396 0.0036566278 0.0038067384 0.0052521857 0.002170701 0.0053567574 0.005135808 0.0031590702 0.012101617 0.007498786 0.009676233 0.0024473094 0.0017271157 0.006532343 0.004579218 0.0067094397 0.0077062417 0.0028048763 0.0031202773 0.0028284893 0.003958536 0.008482095 0.003219789 0.0024894753 0.0037240933 0.0020121573 0.0020762496 0.0035014572 0.0037358997 0.0037240933 0.0042182775 0.0059571997 0.004324536 0.004476333 0.0062186285 0.0046416237 0.0075409515 0.0032973744 0.0033058075 0.004897992 0.006110684 0.0049216053 0.005525421 0.0032805079 0.0022803324 0.0033766462 0.0032670149 0.0051138815 0.0034677244 0.004049614 0.0038168582 0.002681752 0.0044004344 0.0014909866 0.0022347933 0.0015196594 0.0043430887 0.004346462 0.0043869414 0.0024236965 0.0019109591 0.014378576 0.001693383 0.0025923601 0.0026176597 0.0037156602 0.0034727845 0.0017692816 0.002194314 0.0018687932 0.0020155306 0.0023697242 0.002472609 0.0035385631 0.0033108674 0.0044341674 0.0018165074 0.0023477979 0.0028453558 0.0026345262 0.0030241392 0.0029651069 0.0031506368 0.002899328 0.0050497893 0.0019143324 0.0030460653 0.0017777148 0.0053753103 0.0052774856 0.0050818357 0.0030561853 0.004810287 0.0033142406 0.012528336 0.0018165074 0.007955864 0.0112228785 0.0039129965 0.0030831713 0.0051611075 0.0019126458 0.002008784 0.0035031438 0.0050093103 0.0060567115 0.0055372273 0.007343615 0.0023528577 0.0058998545 0.0062371814 0.0022331066 0.0036566278 0.005542287 0.004432481 0.0047394484 0.0012683506 0.0038303514 0.0035318166 0.002621033 0.014204852 0.0023781573 0.0041558724 0.0020576965 0.0021268486 0.0018063877 0.0025738073 0.0021588947 0.0022718993 0.001976738 0.0022061204 0.0029246276 0.0026547657 0.0021437148 0.005484942 0.0048828125 0.0036330149 0.0024135767 0.0057362504 0.005886361 0.0022853925 0.0022735859 0.006871357 0.0027306643 0.0044426005 0.0028807751 0.0073503614 0.0030629318 0.0044560935 0.0085107675 0.004058047 0.0023545446 0.0026783787 0.0025265813 0.0025670608 0.0021791342 0.0048659462 0.0049013654 0.004133946 0.0027660837 0.0054394025 0.0036802408 0.00538543 0.0033614663 0.005233633 0.002899328 0.0029465538 0.0036178352 0.0033176139 0.0034576047 0.0037375863 0.005419163 0.003845531 0.003590849 0.0036819275 0.003999015 0.0037898722 0.003874204 0.004068167 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.771951e-05 8.447773e-07 0.0014513273 5.9979186e-05 2.0274654e-05 1.6895545e-05 6.2513514e-05 3.8014976e-05 0.0 0.0 0.0 0.0 8.447773e-07 0.0 8.447773e-07 8.447773e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003481327 0.00020528087 0.0003649438 0.00015290469 0.00026526005 0.00021710775 0.0013153182 0.00080845185 2.2808987e-05 8.447772e-06 1.2671659e-05 1.4361213e-05 9.292549e-06 1.3516436e-05 1.0982104e-05 1.7740322e-05 0.0034652762 0.00039957964 0.00055586343 0.00039789008 0.0003227049 0.00027286305 0.0016709694 0.001122709 9.545983e-05 4.7307527e-05 4.646275e-05 5.0686634e-05 4.646275e-05 4.8152302e-05 4.899708e-05 5.9134407e-05 0.0024067704 0.00014276736 0.0024295794 0.0017858591 0.00065554713 0.00042999163 0.003458518 0.0020722386 5.6600074e-05 5.491052e-05 4.899708e-05 7.011651e-05 7.518518e-05 4.2238862e-05 5.9979186e-05 5.1531413e-05 0.0033664373 0.00017571366 0.00018838533 0.00028131081 0.0002998959 0.00022386597 0.0010179565 0.00053981267 0.00010813149 7.2650844e-05 8.4477724e-05 0.00017148978 0.00012164792 5.8289632e-05 7.2650844e-05 0.00013769869 0.003325888 0.0004528006 0.00046209316 0.00038690798 0.00036916765 0.00034044523 0.0015113065 0.0008490011 0.00021034954 8.701206e-05 0.00010306283 0.0001115106 0.00010475238 7.8564284e-05 0.00010559716 0.0001520599 9.0391164e-05 8.447772e-06 0.00025512272 0.00035058256 9.377027e-05 4.646275e-05 0.00045617973 0.00027624215 1.2671659e-05 2.1119431e-05 1.6050768e-05 1.6895545e-05 1.6050768e-05 1.520599e-05 2.3653763e-05 3.1256757e-05 0.0006040157 8.785683e-05 7.687473e-05 0.0001444569 9.208072e-05 6.420307e-05 7.4340394e-05 3.7170197e-05 5.1531413e-05 6.8426954e-05 9.6304604e-05 7.096129e-05 4.5617973e-05 9.123595e-05 4.5617973e-05 7.940906e-05 0.0009866998 0.00017740323 0.00015459424 0.000120803146 0.00017909278 0.00021119432 0.0003007407 0.00020359132 0.00012164792 9.968372e-05 0.00017909278 0.00015628379 0.000112355374 0.0001748689 0.00011995837 0.00016219723 0.051275443 0.057426266 0.051218 0.048775747 0.046288725 0.08429441 0.05504315 0.062957026 0.05761972 0.042370647 0.07858625 0.06942464 0.05346595 0.06418195 0.0631868 0.060252048 2589.0 10.231363 26489.0 0.07965571 0.001963079 0.015704632 0.0049832007 0.0033221338 0.002755861 0.0017743214 0.0024916003 0.008909359 0.0067952736 0.0056249765 0.006115746 0.0051719584 0.00645551 0.009777644 0.006908528 0.015742384 0.01940428 0.008720601 0.005738231 0.0054739704 0.0066442676 0.0041149156 0.0062290006 0.005587225 0.004530182 0.0150628565 0.004643437 0.010608177 0.01268451 0.0070217825 0.0043036733 0.004341425 0.008041074 0.0056249765 0.013817056 0.0063800067 0.0068330253 0.0062667523 0.005549473 0.0052097095 0.005247461 0.0038884066 0.00845634 0.0070972857 0.0067952736 0.0042659217 0.0056249765 0.008041074 0.0026048548 0.00819208 0.012797765 0.008041074 0.009739892 0.0068707764 0.018007474 0.0034353882 0.00298237 0.0048321947 0.0040394124 0.008078825 0.0057759825 0.0036618975 0.007474801 0.007323795 0.023481445 0.012042735 0.01887576 0.015704632 0.043791763 0.008531843 0.010947941 0.009362377 0.023405941 0.0063800067 0.0051342067 0.021895882 0.01593114 0.02536902 0.028389143 0.012835517 0.012986523 0.03129601 0.025708785 0.03484465 0.022046888 0.007814565 0.0075880555 0.006606516 0.008154328 0.005247461 0.00422817 0.0071350373 0.005096455 0.004190419 0.00471894 6.1243925 0.0 10.0 0.0 9.0 592896.0 622592.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1514078700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 590336.0 512.0 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 -590336.0 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 -7.8089232 0.0 4.328173 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 -590256.0 0.0 1404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 598360.0 1404.0 606208.0 0.0 0.0 0.0 0.0 12.0 614400.0 28.0 598048.0 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: 0.5286596 0.0029520416 0.002152996 0.0021420382 0.0028209859 0.0023392793 0.0017387897 0.0019877518 0.0024208056 0.001642799 0.0017352832 0.0016055424 0.0019973947 0.0018176861 0.0015884482 0.002738583 0.0024107243 0.0016182535 0.0015270843 0.0015660941 0.0018764201 0.0019158684 0.0015788053 0.0015060452 0.0018220693 0.0015340972 0.0015621494 0.0014911426 0.001591078 0.0015498765 0.001539357 0.0016002826 0.002049554 0.0015073601 0.0015998443 0.0015643409 0.0030866037 0.0015463701 0.0014828146 0.0015007855 0.0017133675 0.0015257694 0.0014836913 0.0020460475 0.0016305263 0.0015735455 0.0015814351 0.0019426055 0.0021385315 0.0021512427 0.0020749762 0.002329198 0.0019973947 0.002018872 0.0019653977 0.0019434821 0.002150366 0.0021955124 0.0015424252 0.0018501213 0.0016305263 0.0016072956 0.0015468084 0.001614747 0.001929456 0.0023327046 0.0022643276 0.0021981422 0.002548793 0.002764005 0.0021889377 0.0021131095 0.0037296095 0.002129327 0.0020166805 0.0020451709 0.0023234999 0.0022801068 0.0021135476 0.0020193104 0.0027114074 0.0021429148 0.0020684015 0.0023020227 0.0021858695 0.0021617622 0.002391877 0.0022748471 0.00206095 0.0020955768 0.0019746025 0.0016239516 0.0016822473 0.0017186273 0.0017484326 0.0018672155 0.0015897631 0.002062265 0.0020114207 0.0020745378 0.002185431 0.0022652042 0.0027210503 0.0019969563 0.002227071 0.0020613885 0.0023537437 0.0018978975 0.0021030281 0.0020333363 0.0021604472 0.002067525 0.0021424764 0.0019005274 0.0022836134 0.0021052198 0.002966506 0.002780661 0.0020166805 0.0019789855 0.0020044076 0.0019474269 0.0018908845 0.0014801847 0.0016559485 0.001888693 0.001556013 0.0016406075 0.002031583 0.0016642764 0.0015709156 0.00290821 0.0023703994 0.0023085973 0.0016743576 0.0015831884 0.0018856247 0.0029774636 0.0016191301 0.004332729 0.0015928313 0.0024769097 0.0015669708 0.0014762399 0.0017707866 0.0014771165 0.0014845679 0.0014828146 0.001571354 0.0014841296 0.001540672 0.0015156881 0.0014793081 0.0014836913 0.0014858828 0.0015069218 0.0015818735 0.0015200713 0.001560396 0.0014661587 0.0015862565 0.0015538214 0.0015134965 0.001614747 0.001568724 0.0015888865 0.0015222628 0.001504292 0.0015551363 0.001488951 0.0014779932 0.0015038537 0.0014814996 0.0014758016 0.0015454935 0.0015095518 0.0016257048 0.001560396 0.0014731718 0.0015152498 0.0015472467 0.0014784315 0.0016401692 0.0016445523 0.0017304617 0.0016362243 0.0015454935 0.0015305908 0.0015060452 0.001570039 0.001599406 0.001578367 0.0024628837 0.0018470532 0.0016848771 0.0019057872 0.0017357215 0.0014810613 0.0022595061 0.0019969563 0.0016835622 0.0017677183 0.0016156236 0.0015766138 0.0017479943 0.0014850062 0.0015998443 0.0015880099 0.0016743576 0.0016046658 0.0015941462 0.001517003 0.0014928958 0.0015139348 0.001524016 0.0015853799 0.0016752343 0.001570039 0.0015205096 0.0015884482 0.001525331 0.0014999089 0.0015472467 0.0015143732 0.0016857538 0.0015612728 0.001532344 0.001540672 0.0015849416 0.0014850062 0.0015437402 0.0015709156 0.0028722684 0.0017168741 0.0015577662 0.0019193749 0.0018124264 0.0014644054 0.0015682857 0.00162176 0.001813303 0.001554698 0.0015283992 0.0016572634 0.0015875716 0.001452571 0.0016134321 0.0015945846 0.0018895696 0.001592393 0.0015726689 0.001533659 0.0017357215 0.0015428636 0.0017453644 0.0053610126 0.48073953 0.00013177235 0.00010765428 2.8283916e-05 3.0695724e-06 2.9599447e-05 5.854113e-05 8.792132e-05 0.000111381625 2.9599447e-05 8.0028134e-05 2.8722427e-05 8.0905156e-05 7.915111e-05 5.0428687e-05 0.00016751095 0.009414379 4.7797625e-05 2.762615e-05 1.6663393e-05 1.7540414e-06 2.0171476e-05 1.6663393e-05 6.3584e-05 5.2182728e-05 2.8064662e-05 2.54336e-05 3.0257213e-05 3.3326785e-05 2.4556579e-05 3.0695724e-06 7.3231226e-05 0.0021070421 9.647227e-06 9.208717e-06 5.700634e-06 2.4118067e-06 7.673931e-06 5.700634e-06 1.3813075e-05 1.6882648e-05 1.0304992e-05 8.7702065e-06 1.315531e-05 8.989462e-06 6.79691e-06 4.6043583e-06 1.4470841e-05 0.0067335456 0.0001017344 8.879834e-05 5.7444853e-05 4.955167e-05 6.0514427e-05 0.0001418581 0.000109846835 5.174422e-05 1.6005626e-05 2.4556579e-05 3.1353487e-05 2.5652855e-05 3.354604e-05 3.0257213e-05 7.7177814e-05 0.005383372 8.7702065e-05 8.660579e-05 5.305975e-05 4.3193268e-05 3.8588907e-05 6.643432e-05 9.559525e-05 9.581451e-05 4.0123694e-05 3.749263e-05 4.034295e-05 3.0914976e-05 5.5910066e-05 5.1963474e-05 7.9370366e-05 0.004019605 0.0001613718 6.9065376e-05 6.643432e-05 1.7321157e-05 2.9599447e-05 6.511878e-05 0.000115547475 9.34027e-05 1.8855944e-05 6.99424e-05 3.1792e-05 2.1925516e-05 3.771189e-05 2.674913e-05 9.493749e-05 0.0040991944 0.0002444695 0.000107873544 8.616728e-05 3.0914976e-05 5.7006342e-05 8.485175e-05 0.00013111459 0.00015632893 4.4728054e-05 5.1086452e-05 4.3851032e-05 4.1439227e-05 4.713986e-05 3.3765296e-05 0.00012848353 0.0014352443 1.27168e-05 9.515674e-05 4.6920606e-05 5.6129324e-05 3.6834866e-05 0.00028875904 0.00016400286 2.4775834e-05 1.07435035e-05 1.5786372e-05 2.7406895e-05 1.0524248e-05 8.550951e-06 4.165848e-06 7.4546756e-06 0.0004200929 5.481379e-06 4.165848e-06 5.9198896e-06 6.0952934e-05 4.363178e-05 0.00022407877 0.00010940833 4.165848e-06 2.631062e-06 3.946593e-06 3.5080827e-06 1.9732965e-06 2.631062e-06 1.5347862e-06 3.946593e-06 0.00082023354 5.0209434e-05 0.00044925383 0.0020973948 0.0032366447 0.002395582 0.0032410298 0.002339014 4.4728054e-05 8.331696e-06 1.2059034e-05 2.4337323e-05 2.9380191e-05 2.2583283e-05 1.6882648e-05 3.0476467e-05 0.0027871716 0.00016400286 0.000807736 0.0021631715 0.003404375 0.0025139798 0.0032285324 0.00239317 0.00053564034 8.616728e-05 6.731133e-05 0.00010326918 0.00033261007 7.958963e-05 7.564303e-05 0.00011708226 0.0019353654 8.879834e-05 0.00039422078 0.0003155082 0.0006553537 0.0003986059 0.00045648924 0.00034751944 0.0004387296 6.029517e-05 7.915111e-05 6.446102e-05 0.00033370635 5.7444853e-05 8.616728e-05 0.0001256332 0.0019474244 0.00016444137 0.00021443155 0.00022977941 0.00041592703 0.00033831073 0.0005417795 0.00023350675 0.0005257739 6.0514427e-05 4.9990176e-05 7.783558e-05 0.000286128 0.00016729168 0.00024074217 0.00034357284 0.010214002 0.0013547776 0.0014183617 0.0013806497 0.0038380616 0.0023701484 0.0011605176 0.0018367005 0.005688137 0.00056195096 0.0005496727 0.0010212905 0.002643121 0.00083843176 0.0019785585 0.003109696 0.0049034227 0.0011125007 0.0008954381 0.0009066201 0.0020495972 0.0016391516 0.00089258776 0.001272557 0.0031215358 0.00034751944 0.0004367563 0.00047008306 0.0015843378 0.00051875773 0.0012771613 0.0023708062 0.023243459 0.022956235 0.02306652 0.02330529 0.02314348 0.023040649 0.023345413 0.022934528 0.023091296 0.023094585 0.022987807 0.023179656 0.022979258 0.022977503 0.023167158 0.023042621 4704.0 19.90306 93624.0 0.0043151327 0.0027663847 0.002937281 0.002413911 0.0034820132 0.002830471 0.002435273 0.0026702555 0.0026916175 0.002413911 0.0026595744 0.012977442 0.0025207212 0.0027236606 0.0036422284 0.013244467 0.013223105 0.0132658295 0.01358626 0.013372639 0.012603606 0.012699735 0.013126976 0.012603606 0.013863967 0.014536871 0.0027236606 0.0026702555 0.0025314023 0.0025207212 0.0025848073 0.0028091087 0.003385884 0.016758524 0.013447407 0.014761172 0.014878663 0.015038879 0.014098949 0.013639665 0.01484662 0.014034863 0.013490131 0.013351277 0.014921388 0.013607622 0.014344612 0.01441938 0.014088268 0.013596941 0.015231137 0.015412714 0.014633 0.014141673 0.01441938 0.014483466 0.013992139 0.013287191 0.013212424 0.0028731949 0.0027984278 0.0030761342 0.0031936255 0.0071242414 0.0027984278 0.015177732 0.012924037 0.014590276 0.015070922 0.01691874 0.013543536 0.014152355 0.013778518 0.015412714 0.013928053 0.0126142865 0.0152418185 0.014248483 0.015498163 0.015444757 0.013490131 0.012528839 0.015936084 0.015284542 0.01683329 0.01421644 0.01389601 0.013532855 0.01306289 0.014387337 0.013094933 0.0025314023 0.002328463 0.002477997 0.0026809366 0.0023391438 6.347637 5.0 1.0 0.0 46.0 2281472.0 5275648.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1290243800.0 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 36864.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 2064384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.101631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1003146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.250792 0.0 4.5631332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3164316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35786.0 0.0 2064384.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 41440.0 2063048.0 3211264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 392.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.16354406 0.0118581485 0.0065123453 0.006847092 0.006461626 0.0039104503 0.0031547341 0.0045647277 0.01458177 0.0030532957 0.0024446654 0.0030583676 0.006202958 0.0019780488 0.0018258911 0.0102604935 0.0064971293 0.0017295247 0.002084559 0.0022265727 0.0029264977 0.0036771419 0.0018664665 0.0015722951 0.003088799 0.001455641 0.0013846341 0.0019577611 0.002464953 0.0014860725 0.0026424702 0.0033880423 0.0060406565 0.0012933395 0.001516504 0.0025765353 0.0028149155 0.0013136272 0.0013947779 0.0012984115 0.002023696 0.0013795622 0.001891826 0.003281532 0.0017345966 0.0015570794 0.0015925828 0.0013389868 0.0032612444 0.002074415 0.0019628329 0.008951939 0.002393946 0.0023229392 0.0021707816 0.0016230143 0.002525816 0.0029569292 0.0021200625 0.004798036 0.0031344465 0.0025055285 0.0021809256 0.002338155 0.0040321765 0.009276541 0.0029924328 0.0019881926 0.0031547341 0.007095616 0.003093871 0.002216429 0.0023888743 0.0017599561 0.0016635897 0.0012831957 0.0018766103 0.004813252 0.0021251345 0.001775172 0.00898237 0.0029214257 0.0016889493 0.0038140838 0.0019881926 0.0068572355 0.003743077 0.0033778986 0.0018512508 0.0040981113 0.0014454972 0.0019171857 0.0013542026 0.0036619261 0.0025663914 0.0026171107 0.0019070419 0.003098943 0.0015317198 0.0023635146 0.0029975045 0.0052342215 0.0028960663 0.001709237 0.0034945528 0.0032003813 0.0044683614 0.0012527643 0.003033008 0.0019476172 0.0031395184 0.0033474672 0.0047168853 0.002464953 0.0048538274 0.0032003813 0.011102432 0.00972287 0.0024243777 0.004706742 0.0021403502 0.0019374734 0.0014252095 0.001196973 0.0016585178 0.004169118 0.0018715385 0.0030837273 0.004229981 0.0022519324 0.0019932645 0.009951106 0.0034844088 0.009525065 0.0027033333 0.0015824389 0.0031344465 0.009210606 0.0021657099 0.01941531 0.0018309631 0.0072528454 0.001521576 0.0016534459 0.0018664665 0.0011919012 0.001262908 0.0012984115 0.0018360349 0.0016179425 0.0013643465 0.0011310381 0.0016331582 0.0014201376 0.0012071169 0.0011919012 0.0016027266 0.0015063601 0.0014150656 0.0025613196 0.0019425453 0.0021302064 0.0014911444 0.0016027266 0.001389706 0.0013339149 0.0011766854 0.0011817573 0.0017701 0.0012984115 0.0033170355 0.0012933395 0.0014607129 0.0014049218 0.001450569 0.0027996998 0.0017143089 0.0012984115 0.0013947779 0.0014911444 0.001704165 0.0018766103 0.0046712384 0.002028768 0.0021758536 0.0014049218 0.0016280863 0.001455641 0.0018309631 0.002216429 0.0018461788 0.002074415 0.0059341462 0.0059645777 0.0028199875 0.0049654096 0.0029772168 0.001643302 0.002911282 0.005051632 0.003423546 0.0030583676 0.0022417887 0.0017193808 0.0032460287 0.0019273296 0.0017650281 0.0020389117 0.0025613196 0.002657686 0.0031141588 0.0030177922 0.0031953095 0.0020642714 0.0025004565 0.0022367167 0.0028352032 0.0020084803 0.0020490556 0.0024750968 0.0024497372 0.0015722951 0.0018056035 0.0023787303 0.0031243027 0.0018411069 0.0020642714 0.0017193808 0.0030228642 0.002028768 0.0018461788 0.0017193808 0.009915603 0.003225741 0.0017599561 0.0049451217 0.004235053 0.0014252095 0.0016585178 0.001896898 0.004311132 0.0015520075 0.002348299 0.00203384 0.003732933 0.0015773671 0.0054928893 0.0031344465 0.005426954 0.002267148 0.0022519324 0.0024801688 0.005320444 0.0037684364 0.0041944776 0.06740581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050208606 4.345959e-05 7.669339e-06 2.5564464e-06 2.045157e-05 1.2782231e-05 1.0225785e-05 7.669339e-06 1.5338677e-05 5.1128927e-06 7.669339e-06 1.0225785e-05 1.0225785e-05 2.5564464e-06 2.5564464e-06 5.624182e-05 0.004731982 0.00014827389 0.0001380481 0.0 4.857248e-05 3.0677355e-05 4.345959e-05 3.3233802e-05 1.5338677e-05 5.1128927e-06 7.669339e-06 7.669339e-06 7.669339e-06 5.1128927e-06 2.5564464e-06 1.0225785e-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 0.004289717 2.3008017e-05 8.180628e-05 4.6016034e-05 0.000143161 7.669339e-05 0.00017895125 8.947562e-05 0.0001048143 3.8346694e-05 2.5564463e-05 1.5338677e-05 2.3008017e-05 1.2782231e-05 1.5338677e-05 7.15805e-05 0.0077818227 0.00010992719 0.00014060455 0.000107370746 0.00015338678 0.00011248364 0.00011759653 0.00013549166 0.00018662059 0.00019684636 0.00023519306 0.00012015298 0.0001712819 0.00014827389 0.00011248364 0.00064166804 0.026771106 0.00084362726 0.0013625859 0.0016310128 0.0011938604 0.0006237729 0.003246687 0.003075405 0.0011069413 0.00019173347 0.0007183614 0.00033489446 0.0005010635 0.00018406413 0.00015849968 0.005176804 0.012383426 0.00014060455 0.00055474887 0.00023774951 0.000738813 0.0004627168 0.002737954 0.0014392793 0.00023774951 0.00019428993 0.00018917702 0.00016361257 0.00016361257 0.00014060455 0.00018150768 0.0009765625 0.013099231 0.0005624182 0.00081294996 0.00032466868 0.0014622873 0.0009663367 0.0037196295 0.003246687 0.00083084503 0.00013293521 0.0005854262 0.00018917702 0.00019940281 0.0007643775 0.00014060455 0.0043766364 0.028596409 0.0017818431 0.0016616901 0.0011146106 0.0017434964 0.0019633507 0.005411997 0.00429483 0.001958238 0.0011248364 0.0024311806 0.0013804811 0.00228035 0.0033182674 0.0017102626 0.012526587 0.022156721 0.0012858926 0.0013830374 0.009579005 0.0014725131 0.0024183982 0.0022701244 0.0029629213 0.0021780923 0.001694924 0.0031239775 0.0024388498 0.0047115306 0.007132485 0.003947153 0.01501401 0.015601992 0.002543664 0.0014980775 0.001242433 0.0017920688 0.0015210856 0.002410729 0.002211326 0.0036736133 0.00095611095 0.0009203207 0.0013855939 0.0017818431 0.0017051497 0.0017358271 0.006140584 0.060779512 0.011946274 0.0063936724 0.00990623 0.016852094 0.017700834 0.0064294627 0.016798409 0.035590846 0.0034154123 0.0027277283 0.0064371317 0.016353587 0.0065751798 0.015016566 0.03932837 0.033325836 0.007060905 0.0050157476 0.009192981 0.0115730325 0.013163142 0.0049416106 0.012385982 0.022223188 0.002737954 0.002147415 0.0042539267 0.011838903 0.004576039 0.009152078 0.01918613 0.015300332 0.013899399 0.013901955 0.0138968425 0.014364672 0.013881504 0.014068124 0.01404256 0.01407068 0.0132654 0.013786915 0.0139658665 0.013684657 0.014310987 0.014305874 0.014385124 799.0 10.857322 8675.0 0.02743516 0.0024207493 0.0070317 0.0032276658 0.0042651296 0.0023054755 0.0026512968 0.002536023 0.0054178676 0.003112392 0.0033429395 0.0027665705 0.003573487 0.0049567726 0.006224784 0.0043804036 0.011181557 0.008184438 0.009682997 0.015907781 0.010605187 0.010259366 0.008414986 0.006685879 0.009452449 0.010144092 0.009452449 0.007953891 0.014870317 0.009452449 0.011527377 0.0072622476 0.004034582 0.01037464 0.0057636886 0.012103747 0.009452449 0.0074927956 0.009221902 0.009913545 0.009106629 0.0072622476 0.0033429395 0.0038040346 0.006570605 0.0069164266 0.0039193085 0.00518732 0.020634005 0.0042651296 0.005072046 0.015677234 0.008184438 0.0039193085 0.0063400576 0.010028819 0.0026512968 0.0036887608 0.0033429395 0.0026512968 0.002997118 0.0027665705 0.002997118 0.004034582 0.0036887608 0.02778098 0.0070317 0.018559078 0.022824207 0.06455331 0.006224784 0.007953891 0.009798271 0.029164266 0.00518732 0.0053025936 0.02536023 0.014409222 0.02835735 0.030778099 0.013256484 0.002536023 0.03146974 0.026167147 0.046916425 0.013256484 0.008876081 0.049337175 0.008991354 0.011066282 0.002536023 0.0019596543 0.002536023 0.0033429395 0.002997118 0.0073775216 6.0519 1.0 0.0 0.0 5.0 197164.0 180224.0 1.0 0.0 171.0 1.0 1.0 0.0 0.0 0.0 1463477800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 87040.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 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 -87040.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4775853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.6771483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1569214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6512547 0.0 4.9231815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5530.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28678.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86912.0 0.0 31888.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -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 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 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 0.0 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 -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 -3.0 0.0 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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 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 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 119004.0 31888.0 139264.0 0.0 0.0 0.0 0.0 3928.0 172032.0 28.0 94992.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 117752.0 0.0 0.0 712.0 94208.0 0.0 0.0 0.0 0.0


Input: 0.12626182 0.008901044 0.005382894 0.005109398 0.005886375 0.0037357036 0.004121084 0.003188712 0.010336897 0.0035367976 0.0032757334 0.0027100944 0.0048048235 0.0031824962 0.0063028345 0.008074341 0.0051031825 0.0025174043 0.0023184982 0.0026479363 0.0033441074 0.0036362505 0.0032322227 0.002424167 0.0027971158 0.0026168572 0.0025298358 0.0024490303 0.0067317253 0.0029400797 0.0022749875 0.0026417205 0.0059920438 0.0022874193 0.002057434 0.0023184982 0.0029835904 0.0022439086 0.0021195922 0.0020760815 0.0025671308 0.0029773745 0.0023682248 0.002896569 0.0022314768 0.0025111884 0.002828195 0.002890353 0.0043386375 0.0031016907 0.0021631029 0.0043945797 0.0026603679 0.00305818 0.002293635 0.002225261 0.0027225262 0.0027287418 0.0025484834 0.004046494 0.00225634 0.0025671308 0.00233093 0.0023993037 0.009379662 0.003263302 0.0019517653 0.0030208852 0.0043262057 0.0054139732 0.0033005967 0.0030768274 0.0029152164 0.0030084534 0.0022066135 0.002200398 0.0026417205 0.0039035305 0.0030146693 0.0022501242 0.005221283 0.0028717057 0.0027163103 0.0038351566 0.0021879661 0.0036735456 0.0037978617 0.0036362505 0.0027971158 0.004556191 0.0024552462 0.0027287418 0.0021631029 0.0034000496 0.0031079066 0.0026603679 0.0022687716 0.0035057187 0.0020885132 0.0035616609 0.0035057187 0.005177772 0.0033130283 0.002759821 0.0035865242 0.0053331675 0.003990552 0.002194182 0.003493287 0.002759821 0.0034062655 0.004251616 0.008018399 0.002057434 0.004549975 0.0036548981 0.008124067 0.0073906016 0.002759821 0.0025857782 0.002486325 0.002486325 0.0021444554 0.002200398 0.002194182 0.003617603 0.002225261 0.00225634 0.0036424664 0.0041770265 0.0028654898 0.0076951766 0.0034684236 0.0061350074 0.0030333167 0.0031327698 0.003393834 0.0065763304 0.002890353 0.012966186 0.004655644 0.005948533 0.002324714 0.002324714 0.0025484834 0.002324714 0.0021631029 0.0017777225 0.0021631029 0.0020822973 0.0021444554 0.0020201392 0.0019517653 0.0020325708 0.0018460965 0.0019144705 0.0023433615 0.002691447 0.0019517653 0.0020450025 0.002293635 0.003188712 0.0020387867 0.002393088 0.0023184982 0.0020698658 0.0021568872 0.0019828444 0.00233093 0.00198906 0.0019082546 0.005619095 0.0021755346 0.0020698658 0.0019828444 0.0030643959 0.0035865242 0.00225634 0.002225261 0.0020885132 0.0019517653 0.002194182 0.002225261 0.0027784684 0.0024801095 0.0021631029 0.0022376927 0.0020512184 0.0022066135 0.004034063 0.0023495774 0.0025298358 0.005420189 0.004581054 0.0029649427 0.004991298 0.0033378915 0.0029773745 0.0037854302 0.0054450524 0.0030146693 0.0029649427 0.002324714 0.002766037 0.003891099 0.0027784684 0.0028717057 0.0029711586 0.0027225262 0.0031016907 0.0026603679 0.0031389855 0.0025919941 0.0025298358 0.00233093 0.002486325 0.002691447 0.0024490303 0.0025236201 0.0026044257 0.002554699 0.0024987569 0.0024801095 0.0026665838 0.003194928 0.0022190453 0.0020885132 0.002132024 0.0031141224 0.0030892591 0.0025049727 0.0026479363 0.0077324715 0.0034995028 0.0028095476 0.0042329687 0.003493287 0.0025174043 0.0023744407 0.0025111884 0.0034995028 0.0024055196 0.0026541522 0.0032197912 0.002828195 0.0025733465 0.0042143213 0.0047737444 0.00431999 0.0027225262 0.0066944305 0.0043137744 0.004400796 0.0030706117 0.004251616 0.040775735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005430564 0.00017528045 0.00018467047 0.0 0.00013772036 7.199019e-05 9.703025e-05 8.764023e-05 2.1910057e-05 3.130008e-06 5.008013e-05 3.443009e-05 1.2520032e-05 1.5650041e-05 2.1910057e-05 6.573017e-05 0.01940918 0.00010642027 5.9470152e-05 8.451022e-05 0.0003161308 4.695012e-05 4.3820113e-05 7.5120195e-05 0.0005352314 0.00024727063 0.0008200621 0.0006228716 0.00017841045 8.451022e-05 9.703025e-05 0.0029140376 0.013537285 0.00037560097 0.00022223056 2.8170072e-05 0.00068547175 0.0002347506 0.0006447816 0.0004601112 0.0003192608 0.00015024039 0.00061348156 0.00030361078 0.00017528045 9.0770234e-05 9.390024e-05 0.0012958234 0.004272461 6.573017e-05 8.764023e-05 5.9470152e-05 8.451022e-05 4.695012e-05 5.008013e-05 8.138021e-05 0.00015024039 8.138021e-05 0.0003192608 0.00018467047 4.695012e-05 1.8780049e-05 5.6340145e-05 0.00080441206 0.0101913065 0.00067608175 0.0005070613 0.00013459034 0.00019093048 0.00017528045 0.0009077023 0.0011612329 0.000782502 9.0770234e-05 0.0009984726 0.0004663712 7.199019e-05 9.390024e-06 2.5040064e-05 0.0028420473 0.01948743 0.0030767978 0.0010955028 0.0007199018 0.00061348156 0.0005227113 0.0026479869 0.0044665216 0.0010892428 0.00033804087 0.0016276041 0.0007105118 0.00030048078 0.00018154047 0.00022223056 0.00777181 0.017227564 0.0012426132 0.0013646835 0.0009233524 0.0028983874 0.0013991136 0.00395633 0.002400716 0.0006353916 0.0003505609 0.0008482322 0.0005414914 0.0005414914 0.00025666066 0.00027544072 0.0035995091 0.016801883 0.0025071364 0.0015743941 0.00076372194 0.0013772035 0.0011925331 0.0020157252 0.0023819362 0.001189403 0.0006385216 0.000782502 0.000773112 0.0009859526 0.0005790515 0.000785632 0.0041128304 0.0063069663 0.0006291316 0.00087014225 0.0007042518 0.00094526244 0.0009390024 0.0021190154 0.0017747146 0.0029578577 0.00029109075 0.00024414062 0.0005039313 0.0014836238 0.00033491084 0.00095778244 0.004579202 0.018338718 0.0028357874 0.0022786458 0.0034023188 0.0065448466 0.004792042 0.0028827374 0.0045510316 0.012432392 0.00087640225 0.0009045723 0.0016745543 0.0046261516 0.0017183744 0.004973583 0.010501177 0.043785684 0.009756235 0.008062901 0.011487129 0.015196189 0.014639048 0.011915941 0.013649965 0.02674592 0.0036182893 0.005339794 0.007145808 0.021359175 0.01162172 0.014952049 0.030724159 0.028201371 0.028783554 0.0269838 0.02746895 0.02700571 0.027844552 0.02790402 0.02780386 0.028645834 0.0273907 0.027140299 0.026448568 0.027569111 0.02728428 0.027885241 0.027947841 692.0 12.302023 8513.0 0.040761188 0.0036414894 0.0039938916 0.0030541525 0.0042288266 0.00317162 0.0024668155 0.0039938916 0.004346294 0.02079173 0.0036414894 0.0027017503 0.0036414894 0.006460707 0.013626219 0.0115118055 0.02079173 0.0105720665 0.0056384355 0.0055209678 0.004463761 0.0032890872 0.0042288266 0.004111359 0.003758957 0.0030541525 0.0065781744 0.0028192177 0.004346294 0.0032890872 0.0038764244 0.0027017503 0.004346294 0.018794784 0.00317162 0.013391284 0.025138024 0.007282979 0.0059908377 0.014448491 0.006108305 0.015858099 0.0028192177 0.0024668155 0.00634324 0.00634324 0.011629273 0.0035240222 0.020086925 0.0042288266 0.008222718 0.016797839 0.006695642 0.0039938916 0.0115118055 0.013156349 0.010454599 0.003758957 0.0052860333 0.0036414894 0.0039938916 0.003758957 0.0039938916 0.002349348 0.0028192177 0.026782569 0.00634324 0.026077764 0.021379067 0.0529778 0.0071655116 0.015035828 0.01221661 0.03946905 0.004111359 0.004933631 0.021026665 0.01491836 0.028427111 0.034535415 0.014683425 0.002936685 0.036884766 0.025490426 0.045929756 0.017267708 0.006108305 0.008457653 0.0059908377 0.007752849 0.004111359 0.0032890872 0.0025842828 0.002349348 0.002936685 0.004346294 6.016918 0.0 20.0 0.0 4.0 160880.0 172032.0 1.0 0.0 76.0 0.0 1.0 1.0 0.0 0.0 1476163000.0 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 9.0 0.0 5.0 0.0 5.0 0.0 37376.0 1024.0 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 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 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 -37376.0 0.0 102912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.514356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.111561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.569119 0.0 7.591202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37370.0 0.0 106496.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 53136.0 60.0 51372.0 20508.0 65536.0 0.0 0.0 7280.0 71680.0 0.0 0.0 28.0 45440.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 50208.0 0.0 0.0 312.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.1380638 0.035496835 0.007344944 0.0074852156 0.010973708 0.0031063035 0.0054766894 0.0021223696 0.010689099 0.0019800651 0.0020573162 0.0016446332 0.007422195 0.0041044676 0.0013254646 0.003941834 0.008294318 0.0024110444 0.0014799666 0.0012705757 0.0042874306 0.0024557686 0.0027241143 0.0013295304 0.0035474473 0.0012319502 0.00093514373 0.001132337 0.0026793901 0.0011750284 0.001083547 0.0013193658 0.0056291586 0.0011709626 0.0011567321 0.00113437 0.014340226 0.0018092998 0.0009940984 0.0010510202 0.0024130773 0.0008294318 0.0008741561 0.0019170446 0.0020166577 0.0012522794 0.0014393082 0.0009229462 0.0036165668 0.0010367897 0.0013092012 0.004173587 0.0015755139 0.00097173627 0.000902617 0.0008456952 0.003712114 0.001236016 0.0013762875 0.0036490934 0.0018153986 0.0014840324 0.0010001971 0.0011831601 0.01323025 0.0072148372 0.0035230522 0.0022382461 0.007682409 0.016698414 0.003039217 0.0018092998 0.0025797768 0.0014393082 0.0010916786 0.000902617 0.004531381 0.007027808 0.002006493 0.0013437609 0.009245725 0.005639323 0.0055885003 0.0038035954 0.0052632326 0.007824713 0.007836911 0.0036673897 0.0014352424 0.0010022301 0.0008924524 0.004047546 0.0023927481 0.0023663202 0.0039601303 0.0030290524 0.002110172 0.0028481225 0.0030737768 0.0019190776 0.004045513 0.004441933 0.004844451 0.001650732 0.0063020554 0.0029009786 0.0074059316 0.0015226579 0.0037019493 0.0015389213 0.002809497 0.003039217 0.0030026245 0.0007887734 0.002986361 0.0026468632 0.010032466 0.006470788 0.0013153 0.0012583781 0.00203902 0.0012482136 0.0010733823 0.00078674045 0.0029782294 0.0033156944 0.0018621557 0.0013539254 0.0034336038 0.002986361 0.00094937417 0.015063945 0.0037852991 0.008778153 0.0024659333 0.0008375635 0.0033034969 0.012642737 0.0030005916 0.05036562 0.0015104604 0.0063752406 0.0025574148 0.00084366224 0.024779275 0.0009961313 0.0022504437 0.001158765 0.0013315633 0.0015856784 0.0012909049 0.0007908063 0.0013193658 0.001650732 0.0007786088 0.00084366224 0.0011648638 0.00076437835 0.003244542 0.0026936205 0.00281153 0.0013254646 0.0010001971 0.00317339 0.0014779336 0.0010144276 0.0009839338 0.0008741561 0.0012726086 0.000849761 0.0008131685 0.00092091324 0.0013213988 0.0027241143 0.0011242054 0.0009412425 0.002707851 0.00084162934 0.0008091026 0.00084162934 0.0014616703 0.00078470755 0.0008558598 0.0007521808 0.001854024 0.0012278843 0.0008721232 0.0008863536 0.001390518 0.0010469544 0.001963802 0.00096970337 0.008782219 0.0034254722 0.0043219905 0.0038503527 0.0074689523 0.0009615717 0.0026184025 0.004663521 0.00407804 0.0027749373 0.001211621 0.001107942 0.009146112 0.0011038762 0.0049379654 0.0020939088 0.0026427975 0.001288872 0.0021487977 0.00091684744 0.0015795797 0.00096970337 0.0011506333 0.0029680647 0.002575711 0.0019109459 0.0010388227 0.0021975876 0.0019414397 0.0012970037 0.000927012 0.0009940984 0.0034600317 0.0021447318 0.001675127 0.001081514 0.0021325343 0.0014454069 0.002752575 0.0010530532 0.013388818 0.0029700978 0.0012075552 0.0045984676 0.0038259577 0.0010367897 0.0026875217 0.000849761 0.0036389288 0.002089843 0.0013701888 0.0011303042 0.0026610938 0.0026488963 0.0014779336 0.0012949707 0.004848517 0.001286839 0.0012502465 0.0012909049 0.0052733975 0.0018214973 0.003760904 0.030215306 0.024977777 1.22325155e-05 3.0581289e-06 1.0193763e-06 1.22325155e-05 7.135634e-06 2.2426279e-05 6.1162577e-06 6.1162577e-06 0.0 0.0 1.0193763e-06 2.0387527e-06 0.0 1.0193763e-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 0.0039042113 5.6065695e-05 4.179443e-05 1.0193763e-06 3.363942e-05 1.6310021e-05 1.0193763e-05 7.135634e-06 3.6697547e-05 1.1213139e-05 5.0968815e-06 1.0193763e-06 2.3445655e-05 3.0581289e-06 5.0968815e-06 1.936815e-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 0.0035504876 2.3445655e-05 1.8348774e-05 2.2426279e-05 4.0775052e-05 5.198819e-05 0.000102957005 2.4465031e-05 2.8542536e-05 5.4026943e-05 6.931759e-05 3.87363e-05 2.9561912e-05 2.752316e-05 5.3007567e-05 3.9755676e-05 0.0016177502 1.5290645e-05 3.058129e-05 4.9949438e-05 4.179443e-05 2.0387526e-05 0.0001294608 4.7910686e-05 4.383318e-05 6.829821e-05 0.0 2.0387527e-06 4.0775053e-06 0.0 2.0387527e-06 1.4271268e-05 0.0027676066 3.2620042e-05 1.3251892e-05 0.0002232434 0.00027727036 0.00016921647 0.0003924599 0.00020285588 2.2426279e-05 1.22325155e-05 1.22325155e-05 1.22325155e-05 1.6310021e-05 6.1162577e-06 4.0775053e-06 1.1213139e-05 0.008797217 0.00010601513 0.00021203027 8.1550104e-05 0.0010581126 0.0002701347 0.0020214233 0.00090520614 0.00014882894 9.88795e-05 0.00014067393 0.000119267024 8.6646985e-05 5.504632e-05 7.8491976e-05 0.0004342543 0.0064781364 0.00020285588 0.00085933425 0.00021814652 0.00085015985 0.0004729906 0.003819603 0.0020061326 0.0005423082 0.00041488616 4.7910686e-05 7.237572e-05 0.00019673962 4.9949438e-05 0.00016411958 0.0003058129 0.007642264 0.00023955342 0.0007879779 0.0007298734 0.0024791232 0.001281356 0.005290563 0.0028624088 0.00041182802 0.00048930064 0.00013048017 8.562761e-05 8.053073e-05 7.3395095e-05 6.727884e-05 0.0003129485 0.0045392825 0.00010907326 0.001227329 0.0005168238 0.0017839086 0.00094088435 0.0060010683 0.0030357027 0.00011009264 5.708507e-05 2.9561912e-05 4.8930062e-05 5.6065695e-05 3.9755676e-05 3.6697547e-05 0.00025688283 0.0034149105 0.00010703451 0.0004006149 0.0002660572 0.00064322643 0.00038022737 0.0009735044 0.00042100242 0.00019164274 0.00023547592 0.0002629991 0.00020591401 0.00011518952 0.00018246836 0.00023955342 0.00031090976 0.024329454 0.0024118444 0.0022089884 0.0021498646 0.017394638 0.002879738 0.0023506817 0.0031366209 0.008512812 0.002473007 0.0014515918 0.0020091906 0.004043866 0.004104009 0.004898103 0.0054159462 0.09818429 0.015613787 0.012487359 0.009567866 0.028028771 0.032102197 0.015200939 0.014206029 0.06895163 0.018115336 0.0057666115 0.0050663003 0.033367246 0.0077564344 0.021976734 0.03532037 0.040737335 0.0094638895 0.011053097 0.0060561146 0.013444554 0.018700458 0.0067054573 0.0069908826 0.031114424 0.014085742 0.0035372358 0.0024373287 0.015614807 0.003835913 0.008336459 0.014566887 0.011128531 0.009010267 0.009645338 0.01003576 0.010413948 0.010829854 0.011192752 0.009362971 0.009074488 0.01060763 0.011151977 0.009115263 0.009021481 0.010446568 0.01052608 0.009188658 1831.0 12.114145 22181.0 0.040034264 0.0028853524 0.0009467562 0.0027050178 0.010774988 0.0059059556 0.0017582616 0.0018033452 0.0033361886 0.0016680943 0.0010369235 0.0014426762 0.004463279 0.0067625446 0.010910238 0.0018935124 0.0060412064 0.0023443487 0.0046886974 0.0022992652 0.0018033452 0.0015328435 0.0017582616 0.001217258 0.0022541815 0.0021640141 0.0038771923 0.0013525089 0.0018935124 0.0036066903 0.0016680943 0.0043280283 0.009512646 0.0109553225 0.010008566 0.013570173 0.0075289663 0.009287228 0.006446959 0.005319868 0.005500203 0.0071232137 0.0017582616 0.0018935124 0.010459403 0.006627294 0.0044181957 0.0042378614 0.012803751 0.0050944504 0.008791308 0.01961138 0.009918398 0.0057707047 0.012037329 0.0067625446 0.002434516 0.0026148506 0.0012623416 0.004778865 0.003651774 0.004147694 0.0057256212 0.012037329 0.0016230107 0.04346062 0.008701141 0.021189306 0.022812316 0.077498764 0.008836391 0.017176863 0.018529372 0.04183761 0.004282945 0.0048239483 0.039944097 0.015012849 0.043550786 0.046391055 0.014607096 0.0011721744 0.042513862 0.032956135 0.055588115 0.026509175 0.008881475 0.004959199 0.006807628 0.00707813 0.002434516 0.001217258 0.0031107704 0.0010369235 0.0009918399 0.001217258 5.709258 0.0 0.0 1.0 6.0 491903.0 35131390.0 0.0 1.0 134.0 0.0 1.0 0.0 0.0 0.0 1095293300.0 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 315392.0 4096.0 4096.0 5.0 0.0 0.0 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 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409600.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.512537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.036857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.191873 0.0 3.6057928 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41883.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34664556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -408546.0 0.0 2120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 -1.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -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 -1.0 -1.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 361296.0 180.0 357912.0 2120.0 35033090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 600.0 319488.0 0.0 0.0 0.0 0.0