Input: 0.0043699294 0.003915941 0.003907051 0.0038784908 0.003908258 0.0038928513 0.0038740658 0.0039009769 0.003872859 0.003878008 0.003881226 0.0038837201 0.0038858922 0.0038816284 0.0038992472 0.0039060453 0.0038836799 0.0038716926 0.0038830766 0.0038953454 0.0039056432 0.0039239055 0.0038824328 0.0038889896 0.0038962706 0.0038819502 0.0039146133 0.0038840822 0.0038903172 0.0038988853 0.0039057236 0.0038951845 0.003896874 0.0038710893 0.0038663023 0.0039052812 0.0038809043 0.0038743475 0.0038613144 0.0038890298 0.003886053 0.0038792149 0.0038958683 0.0039049191 0.0039165444 0.003902586 0.00390685 0.0039048386 0.003872135 0.0038911619 0.0038716926 0.0038957074 0.0039444207 0.003906729 0.0038886678 0.0039028274 0.0039018618 0.0038850475 0.0039112344 0.0039000518 0.003918998 0.00392825 0.003909786 0.0039377837 0.0039276467 0.0038708076 0.0038875013 0.0038815078 0.0038959486 0.0038916043 0.003886053 0.0038980404 0.0038748705 0.003879939 0.0038744682 0.003903672 0.0038925295 0.003874629 0.0038981612 0.003924992 0.0038872599 0.003893696 0.003882272 0.0039069704 0.0038889495 0.003910229 0.00391755 0.0039431737 0.0038901563 0.003901138 0.003911154 0.0039264397 0.003891001 0.0039528683 0.003956046 0.0039454666 0.0038924492 0.003891001 0.003894219 0.0038636073 0.0038965521 0.003909062 0.0039103897 0.0039289338 0.0039219344 0.0039235437 0.003927808 0.0039176303 0.0038960292 0.0039026665 0.0039203255 0.0039527477 0.003906528 0.0038869784 0.0039231814 0.003915941 0.0039366973 0.003934163 0.0039351285 0.0039028677 0.003911798 0.0038789331 0.003897075 0.0039370996 0.0039080568 0.0039253538 0.003916826 0.0039117173 0.003882272 0.0038831166 0.0038651358 0.0039175902 0.0038960695 0.003901701 0.0038961095 0.0038768013 0.003878008 0.0039016206 0.0039121197 0.0039783716 0.003883157 0.0039149355 0.0038830766 0.003911999 0.0038858522 0.003896713 0.003855361 0.0038938168 0.00390508 0.0038929721 0.0038958683 0.0038988853 0.0038809446 0.0038968336 0.0038789331 0.0039045168 0.0038622394 0.00392648 0.0039043156 0.0039058845 0.0039007356 0.0038937766 0.0038827949 0.0039177914 0.0038663829 0.0038961095 0.0038971554 0.003929296 0.003893656 0.0038628832 0.0038751117 0.0038932133 0.0038978395 0.0038998506 0.003910631 0.0039068903 0.0038764393 0.0039269626 0.0038749508 0.003916906 0.003900776 0.0038776058 0.003895989 0.0039183544 0.003904718 0.003908821 0.00390685 0.0039066486 0.003882272 0.0039128438 0.0039552418 0.003932876 0.0038971957 0.0038552 0.003905965 0.003918636 0.003917228 0.003944984 0.003900776 0.003907011 0.0039052006 0.0038885875 0.0038994083 0.003889593 0.0039091026 0.003891725 0.0038999312 0.0039214115 0.0039056833 0.0038994886 0.0038963913 0.0038966727 0.0039040342 0.0039076144 0.0039008965 0.0039265202 0.0039264397 0.003909706 0.0038859728 0.00393541 0.003889955 0.003925555 0.003902787 0.003928371 0.003909062 0.0038879437 0.0038975577 0.0038909204 0.0038895125 0.0039080568 0.0038970348 0.0039283307 0.0039264397 0.003911355 0.003941042 0.0039492077 0.0039087003 0.0039422084 0.003933359 0.0039225784 0.0039174696 0.003914533 0.0038911216 0.0038941386 0.0039347666 0.0039396337 0.003893334 0.003926118 0.0039348067 0.0039167856 0.003941082 0.0039304625 0.0039510583 0.003939835 0.0039444612 0.004214135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.9855036e-05 6.235261e-07 2.755583e-06 1.4683034e-06 5.5916207e-06 3.137744e-06 2.4317516e-05 1.2329725e-05 4.8272983e-07 4.0227487e-08 1.407962e-07 9.4534596e-07 2.0113744e-07 1.6090995e-07 3.8216115e-07 1.1464834e-06 2.2627963e-05 3.620474e-07 4.2641136e-06 5.430711e-07 1.2068247e-06 7.4420853e-07 6.8587865e-06 4.163545e-06 0.0 6.034123e-08 6.034123e-08 6.034123e-08 6.034123e-08 4.0227487e-08 6.034123e-08 8.0454974e-08 3.970453e-05 4.8272983e-07 1.064017e-05 2.7756967e-06 3.4394502e-06 1.8303507e-06 1.2007905e-05 6.034123e-06 4.4250237e-07 5.028436e-07 3.8216115e-07 2.6147868e-07 2.6147868e-07 2.4136493e-06 2.0113744e-07 1.0056872e-06 5.808849e-05 1.7096683e-06 1.4079621e-05 6.7179903e-06 9.2120945e-06 5.108891e-06 3.562144e-05 1.810237e-05 2.9366067e-06 7.240948e-07 3.8216115e-07 1.407962e-06 2.4739904e-06 3.5601327e-06 6.436398e-07 4.0026353e-06 6.422318e-05 1.2671659e-06 1.8444303e-05 4.40491e-05 1.2490635e-05 4.9298786e-05 1.43411e-05 6.677763e-06 7.1806066e-06 7.301289e-06 9.191981e-06 4.475308e-05 1.2651545e-05 4.6663886e-06 6.456512e-06 0.00010893604 4.7870712e-06 4.2238864e-07 1.0760853e-05 2.2768758e-05 2.433763e-06 2.7535716e-05 7.5024263e-06 4.08309e-06 4.2641136e-06 5.088777e-06 6.3559432e-06 2.4840474e-05 9.352891e-06 3.0170615e-06 3.4394502e-06 6.9311965e-05 8.457829e-05 7.0398105e-06 1.4944512e-05 1.6613953e-05 2.8742541e-05 3.2805518e-05 1.530656e-05 1.7237478e-05 4.6744342e-05 6.134692e-06 5.7726447e-06 1.5004853e-05 2.9265497e-05 1.2269384e-05 1.8987374e-05 6.0482027e-05 0.00021167705 3.1136075e-05 4.1554995e-05 4.372728e-05 7.826258e-05 8.240601e-05 5.0244133e-05 6.255374e-05 0.00013283116 1.4381327e-05 1.6191563e-05 2.642946e-05 8.091759e-05 3.6003603e-05 6.866832e-05 0.0001352247 0.062164985 0.06225976 0.062125403 0.062329315 0.06212166 0.062402308 0.06238324 0.062497947 0.06218856 0.062251594 0.06228641 0.062385652 0.06231797 0.062480733 0.06254578 0.06270472 115222.0 5.633976 649158.0 0.010884869 0.010176259 0.010079211 0.010099236 0.010342629 0.010307198 0.010351871 0.010364194 0.010419651 0.010294874 0.0105783185 0.010656882 0.010331845 0.010496674 0.010439677 0.010391923 0.01034879 0.010339548 0.0104104085 0.010308739 0.010203987 0.010464325 0.010541348 0.010176259 0.010267146 0.010478188 0.010390382 0.010142369 0.010408868 0.010376519 0.010367276 0.010374978 0.010317981 0.010398085 0.010453542 0.010447379 0.010260984 0.0104982145 0.010527483 0.010319522 0.010458163 0.010364194 0.010324143 0.010244039 0.010297955 0.010288713 0.010316441 0.010570616 0.010191664 0.010194745 0.010388842 0.010606047 0.010217851 0.010376519 0.01034725 0.01034725 0.010368817 0.010317981 0.010570616 0.010590642 0.010336467 0.010447379 0.010390382 0.010547509 0.010408868 0.010518241 0.010468946 0.010507457 0.010632235 0.010872546 0.010288713 0.010539807 0.010695393 0.010878707 0.010296415 0.010502836 0.010715419 0.010371897 0.010427354 0.010556752 0.0103149 0.010191664 0.010817089 0.010710797 0.0107462285 0.010565994 0.01041657 0.0104982145 0.0104181105 0.010590642 0.010237877 0.010294874 0.01031182 0.01034879 0.010264065 0.01044892 6.5847816 6.0 1.0 0.0 400.0 24859670.0 94208.0 0.0 0.0 8.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 37888.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 0.0 512.0 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 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.122702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5749555 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 5.554755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3724.0 0.0 0.0 0.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37688.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 21432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 21432.0 69632.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.08939316 0.006314483 0.00569845 0.005141705 0.008206061 0.0031863211 0.002705239 0.0024037159 0.007242203 0.0016792697 0.009824913 0.0044607366 0.0061247605 0.0046442477 0.0010587191 0.008325767 0.03163622 0.0020875118 0.00072726945 0.0009079575 0.0025076114 0.0011778603 0.0006233738 0.0008972291 0.0020203183 0.005997714 0.0003675873 0.00037888027 0.0009802327 0.0004884224 0.00031451017 0.00093336677 0.0024155735 0.00037549238 0.0007255755 0.0006369254 0.017187387 0.001082999 0.0003331436 0.00032015666 0.0013664535 0.00047938802 0.00037944491 0.0009158626 0.0019570775 0.00034161337 0.0007300927 0.0005985292 0.0051219417 0.0032388335 0.005783147 0.004600205 0.002913595 0.002230933 0.003597951 0.0019971677 0.0027882427 0.0020908997 0.0021987478 0.0032512557 0.0025093055 0.002322971 0.0019412674 0.019213352 0.061383687 0.010405938 0.004833406 0.0044195172 0.008603575 0.010243883 0.0029452154 0.0014184013 0.0039536804 0.0033359532 0.0006600761 0.00057876646 0.0012636872 0.0052230144 0.009055859 0.0016877394 0.0111309495 0.002643692 0.005102179 0.0026967693 0.0054951757 0.0074375723 0.011657768 0.002648774 0.003840186 0.0024466293 0.004451702 0.0010892102 0.0015025341 0.0028825393 0.0022444846 0.01083959 0.0010129825 0.019828256 0.0038509143 0.012328007 0.014059225 0.014356796 0.0031840624 0.0039457753 0.010337051 0.014451092 0.004376039 0.0008639148 0.01125856 0.0030581455 0.011653251 0.020296916 0.0049373014 0.00045059086 0.018231425 0.021134293 0.028185079 0.0069677834 0.0018085745 0.00070694205 0.0026967693 0.0025968263 0.0003433073 0.0013732292 0.001930539 0.0026499033 0.0013585483 0.0005279479 0.0025849685 0.0015064867 0.0004991508 0.0071219327 0.0017622733 0.0026871702 0.0014788188 0.0010107239 0.0018814144 0.007247285 0.00058780087 0.02071137 0.0008401995 0.00685203 0.0011722138 0.00087464316 0.0016532957 0.0005217368 0.0005177842 0.0006708044 0.000879725 0.00044494434 0.0002495754 0.00029192414 0.0009915257 0.0007571959 0.00025070467 0.0002755493 0.00073630386 0.0003354022 0.00027442 0.00036815193 0.0013568545 0.002650468 0.00034895382 0.0012388425 0.0012298081 0.0003331436 0.000251834 0.00038791468 0.0010293573 0.00027837255 0.00051609025 0.00044946154 0.0007193643 0.00038791468 0.00023263588 0.00031676877 0.0015748094 0.0004760001 0.0004172765 0.00053077115 0.0008430227 0.0005759432 0.0005590037 0.0007436443 0.0018221262 0.0011208307 0.00039356117 0.00041163 0.0007154118 0.00038960864 0.00043026343 0.0005522279 0.0043280437 0.0024652628 0.0021044512 0.0024867195 0.0042941645 0.0011377701 0.0023495094 0.0049045514 0.0030784728 0.00083568227 0.0005319005 0.00077808794 0.018542547 0.0003297557 0.0012670751 0.0010474261 0.002037258 0.0008921473 0.0004217937 0.00041332393 0.0009802327 0.00040541883 0.00035685892 0.00039525513 0.0015742447 0.00064991234 0.000285713 0.0004918103 0.0012117393 0.0011676966 0.00033370827 0.00038565608 0.001715972 0.00059005944 0.0004935043 0.0004150179 0.0012422304 0.002011284 0.0005680381 0.00037041053 0.011518864 0.0030903304 0.00031338085 0.0017362994 0.0033297422 0.0003037818 0.00044833226 0.00038622072 0.003577059 0.0009920903 0.004779764 0.00058328366 0.0027865486 0.00092546165 0.0016126409 0.0011010679 0.0023540265 0.0013512078 0.00080632046 0.00097402156 0.003822117 0.00066459324 0.0013201522 0.023027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020005968 0.00039051197 5.6796605e-05 1.554136e-05 2.3735895e-05 1.3563368e-05 1.0172526e-05 1.1867947e-05 9.324815e-06 5.029749e-05 2.0910193e-05 1.667164e-05 1.5823929e-05 1.5258789e-05 9.607385e-06 0.00023283782 0.010641593 0.0014854714 0.00036875406 9.466101e-05 0.0006400214 0.00028935185 0.0009313513 0.0003580164 6.1600294e-05 0.0003209997 0.00017801921 0.00018734402 0.00018480088 0.00019299543 0.00019695141 0.001807884 0.010480528 0.0018946329 0.0011475175 0.003711559 0.022610983 0.009587041 0.027782582 0.010234974 0.00028567843 0.00030178495 0.00022040473 0.00010568124 7.1772825e-05 0.00010370325 0.00010935465 0.0010508784 0.0068373503 0.0009485881 0.013914885 0.021913882 0.07814393 0.035763774 0.08853997 0.058606464 0.00038062202 0.00010765923 0.00020825422 0.00023651123 0.0022023518 0.000115006056 0.00037864404 0.0007298787 0.007937114 0.00088472717 0.001053139 0.0020562632 0.0045595523 0.0023470279 0.005842138 0.0032472964 0.00071066397 0.00021814417 0.00022436072 0.00024950947 0.0014244362 0.0003515173 0.0006925795 0.0006089387 0.011726379 0.0036253752 0.0024544045 0.026532209 0.0023789583 0.0024716412 0.0029986347 0.0025032891 0.0032995718 0.002035918 0.001949169 0.0020220722 0.0044346564 0.0020562632 0.0026671798 0.0032331678 0.026765047 0.013173704 0.0022057428 0.0026654843 0.003783332 0.0047211824 0.0059605353 0.0064231027 0.008842468 0.0013913756 0.0019262808 0.0017233954 0.0069221216 0.001886721 0.003913032 0.0054974025 0.07708119 0.02439287 0.0070244116 0.0069317287 0.014517607 0.019288804 0.014619615 0.01146698 0.037565727 0.0039658723 0.005405285 0.005515487 0.029754074 0.0061153835 0.01707628 0.03177869 0.012787147 0.005270499 0.0016244958 0.0016697071 0.0034459431 0.0036759553 0.0022687558 0.003109402 0.007684213 0.00081408466 0.0015874793 0.0014885797 0.005495707 0.0011562771 0.0034976536 0.005766692 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9411.0 78.73998 741022.0 0.002842021 0.00015384158 9.446413e-05 0.000109308494 0.03484242 0.00021321904 0.0002078211 0.00012280337 0.00086907 0.00031982857 0.00013359927 0.00011605593 0.0009891744 0.00024155829 0.0009365444 0.00013629824 0.005411445 0.0049310275 0.010882268 0.0026989751 0.0032347217 0.001901428 0.0054573277 0.001735441 0.002573473 0.0015910459 0.002576172 0.0016612193 0.002302226 0.0017880711 0.0018245073 0.042991977 0.14223869 0.023012811 0.009858007 0.009127934 0.017181676 0.0066516246 0.0038109529 0.0011713553 0.0072777867 0.0071738763 0.00012820133 0.0006437056 0.0013076535 0.0034425429 0.020211276 0.002978319 0.012571827 0.0035140656 0.010795901 0.0037340322 0.010844482 0.013295152 0.021761836 0.0008974093 0.0067042545 0.0006167158 0.010175137 0.00013899722 0.0014614951 9.1765156e-05 0.000102561055 0.022253051 0.0006315602 0.045004062 0.008399211 0.02888848 0.02622999 0.033201445 0.005639509 0.008696098 0.0093249595 0.033372827 0.0010040188 0.0011619088 0.025479676 0.006596295 0.027058575 0.047750268 0.008897171 0.00029148933 0.041909687 0.048895985 0.06023168 0.007159032 0.0030295996 0.00070308306 0.0029526788 0.005246808 0.00023481084 0.000112007474 0.0006518025 5.1280527e-05 5.3979504e-05 7.5571304e-05 5.200976 62.0 0.0 0.0 2.0 1771008.0 1802240.0 1.0 4787.0 803.0 1.0 1.0 0.0 1.0 0.0 1537261200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 748544.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -92160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 908800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -748544.0 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 -6.5625954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8004613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0453873 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.50203 0.0 4.867062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 908504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -748058.0 0.0 480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -2.0 -1.0 -2.0 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 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 2.0 1.0 0.0 -2.0 -3.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 4.0 1.0 -1.0 0.0 0.0 0.0 -4.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 2.0 0.0 2.0 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 2.0 0.0 1.0 0.0 -1.0 2.0 1.0 -1.0 -1.0 0.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 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 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 -2.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 1.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 2.0 0.0 2.0 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 -1.0 1.0 0.0 2.0 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 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 2.0 1.0 -1.0 -2.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 2.0 -1.0 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 -2.0 -1.0 -1.0 1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 -1.0 1.0 0.0 0.0 -1.0 1.0 2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1.0 -3.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -3.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 2.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 2.0 1.0 2.0 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 -2.0 -2.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 2.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -3.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 2.0 -1.0 -1.0 1.0 0.0 1.0 1.0 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 1.0 0.0 0.0 -1.0 2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 2.0 1.0 1.0 0.0 -2.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 3.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -3.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 2.0 4.0 -5.0 13.0 -1.0 3.0 5.0 1.0 -13.0 5.0 0.0 -7.0 -11.0 -5.0 -5.0 2.0 7.0 -10.0 -1.0 7.0 -2.0 -4.0 2.0 8.0 -1.0 3.0 -5.0 3.0 2.0 -3.0 -4.0 13.0 0.0 3.0 -3.0 -3.0 -7.0 -9.0 6.0 3.0 11.0 -3.0 -2.0 7.0 10.0 -3.0 7.0 -10.0 15.0 7.0 4.0 12.0 1.0 -6.0 -13.0 -13.0 -14.0 2.0 -1.0 -4.0 8.0 -7.0 5.0 -8.0 -6.0 -9.0 1.0 4.0 -2.0 -4.0 -6.0 4.0 -2.0 -2.0 6.0 12.0 1.0 0.0 9.0 3.0 -2.0 -3.0 -4.0 4.0 -1.0 -13.0 -2.0 16.0 -2.0 3.0 4.0 2.0 3.0 -5.0 -4.0 -3.0 2.0 -1.0 15.0 -5.0 -1.0 -3.0 6.0 11.0 12.0 0.0 8.0 0.0 1.0 5.0 9.0 -3.0 -3.0 1.0 -4.0 9.0 2.0 0.0 -1.0 11.0 -3.0 -5.0 -3.0 3.0 -15.0 -3.0 -8.0 679076.0 943632.0 300.0 1622708.0 480.0 1703936.0 0.0 0.0 0.0 0.0 92052.0 1708032.0 28.0 869088.0 0.0 0.0 0.0 0.0 24.0 869280.0 64.0 869120.0 0.0 0.0 3268.0 753664.0 0.0 0.0 0.0 0.0


Input: 0.15497768 0.0066608894 0.0030183303 0.003976705 0.005797985 0.002357382 0.0028273896 0.0017955761 0.0060513485 0.018888433 0.003260678 0.003995065 0.007145585 0.0025373069 0.0026217613 0.005625404 0.0057429057 0.00258137 0.001964485 0.0024822277 0.0048800013 0.005853064 0.0027502791 0.0023316785 0.0040207687 0.0028751248 0.0029485635 0.0022178486 0.0029669232 0.002195817 0.002930204 0.0023426942 0.005412432 0.0039730333 0.003308413 0.002867781 0.005261882 0.003660919 0.0016156513 0.0017882321 0.0019865166 0.0013879914 0.019938605 0.0025409788 0.0040244404 0.0029118443 0.0027502791 0.0029999707 0.004615622 0.0031027847 0.002930204 0.0048102345 0.0025997297 0.00258137 0.0025593385 0.0021260502 0.0028384055 0.0026511368 0.0023316785 0.003976705 0.0026548088 0.0044026496 0.0020379238 0.0033965395 0.006866518 0.012877475 0.0028273896 0.0031284883 0.0037490453 0.008166383 0.0039583454 0.002812702 0.0032423183 0.0025960577 0.0022949593 0.0023904294 0.0027392632 0.004729452 0.002592386 0.0023463662 0.0071051936 0.003660919 0.0025593385 0.0034699782 0.0030807531 0.003660919 0.004769843 0.004163974 0.002702544 0.0032129427 0.0017074497 0.0021150343 0.0019351096 0.0022545678 0.0031798955 0.0039069387 0.0021370659 0.0036792785 0.0020342518 0.0031909111 0.0032313026 0.0054014158 0.0022105046 0.0020305798 0.0043585864 0.0040685036 0.0033928677 0.0016707303 0.0032202867 0.0019277657 0.0034406027 0.003822484 0.0027502791 0.0013916632 0.0042484286 0.004285148 0.007927707 0.007200664 0.0024491805 0.0018947183 0.0021701134 0.0017184655 0.0012704894 0.0014540862 0.0018469831 0.0024418365 0.001909406 0.0013843194 0.0024528524 0.0021333941 0.0015899477 0.0055336053 0.0021517538 0.0032716938 0.0019791727 0.0018359673 0.0021370659 0.0049277362 0.0016413548 0.031806298 0.002981611 0.008970536 0.0028934844 0.0012080665 0.0027943423 0.0034112274 0.0022802714 0.0022729277 0.0028567652 0.0018726867 0.002687856 0.0022362082 0.0029669232 0.00258137 0.0020562834 0.0024491805 0.0023169909 0.0022362082 0.0018176077 0.0018873744 0.0019167499 0.002423477 0.0017772163 0.0026254333 0.0026841844 0.0034920098 0.003033018 0.0020562834 0.0029669232 0.0021370659 0.0026217613 0.0028347336 0.0024932437 0.0019277657 0.0017037777 0.0010795488 0.0025005876 0.0025189472 0.001630339 0.0017368251 0.001964485 0.0017882321 0.0018176077 0.0019461254 0.0027209036 0.0015054932 0.0013549438 0.0017588567 0.0022362082 0.0012300981 0.0013696316 0.0017074497 0.004946096 0.0025666824 0.0035250573 0.0037013101 0.0028457493 0.0016964339 0.0027245756 0.0027282475 0.0020379238 0.0026694965 0.0017294813 0.0017404971 0.0024528524 0.0015422126 0.002526291 0.0016486987 0.0018286235 0.0018359673 0.0013108806 0.0014320546 0.0016707303 0.0012815052 0.0014871336 0.0017662005 0.001909406 0.001351272 0.0013733036 0.00146143 0.0021223782 0.0011052523 0.0022362082 0.0017184655 0.002203161 0.0016707303 0.0018359673 0.0022215205 0.0026291052 0.0018249515 0.0023280066 0.0023830857 0.007652312 0.0029595792 0.0023426942 0.003429587 0.0038702192 0.0019901886 0.001957141 0.0018469831 0.002805358 0.0022729277 0.0017331531 0.0019901886 0.0023500382 0.0017735445 0.0031835674 0.0035874802 0.004714764 0.0036756066 0.0012815052 0.0046229656 0.0045458553 0.0031358323 0.0032827095 0.04549894 0.056818184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005596739 7.583156e-05 7.583156e-05 0.000110973015 0.00027928207 7.0282906e-05 0.00016276042 5.5486507e-05 0.00014981357 0.000110973015 0.000120220764 2.4044153e-05 1.8495502e-05 1.4796402e-05 0.00014796402 0.00056226325 0.011182381 0.00018865411 0.00084154535 0.00021639737 0.0012817383 0.00077126245 0.002101089 0.0012207031 0.000110973015 0.000118371216 5.9185608e-05 3.3291904e-05 5.1787407e-05 5.1787407e-05 3.5141453e-05 0.0006750858 0.016742129 0.00024968927 0.0016812411 0.0009858103 0.0024839458 0.0018162583 0.0031349875 0.0018865411 0.00015536221 0.00020530006 8.507931e-05 6.473425e-05 0.00010912346 5.9185608e-05 6.2884705e-05 0.0005807588 0.012160793 0.00038840555 0.0010560931 0.00062514795 0.0019198331 0.0013131807 0.004535097 0.0026023171 0.0005567146 0.00014796402 0.00018865411 0.00023119377 0.00023859198 9.432706e-05 0.00014796402 0.00030887488 0.014452385 0.0005641128 0.0017274799 0.002356327 0.0064327354 0.0035788796 0.009763775 0.006197843 0.0007287228 0.00033846768 0.00020160097 0.0005678119 0.0003680605 0.00025338837 0.00045498935 0.0012558446 0.010507295 0.0009358724 0.0011504202 0.00088963367 0.0015628699 0.0010727391 0.001327977 0.0013372247 0.0010856859 0.00044019293 0.0004457416 0.00071207684 0.0010930841 0.00069912995 0.0010301995 0.0060128877 0.007897579 0.0011911104 0.0015480735 0.0011171283 0.0014611447 0.00090443005 0.00051972363 0.0006232984 0.0007953066 0.0005530155 0.0005012281 0.0012835879 0.0010061553 0.00066953717 0.002077045 0.008154667 0.010867957 0.0039580376 0.0040264707 0.0032126687 0.0042632134 0.0033273408 0.001270641 0.0013705167 0.004642371 0.0029019443 0.002023408 0.001731179 0.0031257397 0.000921076 0.0025301846 0.0066454336 0.06454745 0.02479877 0.034962047 0.021787701 0.030306729 0.024813564 0.01167436 0.016557174 0.050649934 0.016057795 0.016553475 0.009724935 0.019425826 0.0075184214 0.020086115 0.04720237 0.019975143 0.018741492 0.01932225 0.018118193 0.017583674 0.015859893 0.015046091 0.014376554 0.018896854 0.017931389 0.01767615 0.01545854 0.015763717 0.015558416 0.016718084 0.01948871 742.0 17.967655 13332.0 0.01350135 0.0011251125 0.0051755174 0.0017251725 0.014476447 0.0033753375 0.0020252026 0.0014251425 0.0026252626 0.0014251425 0.00082508253 0.0016501651 0.0024752475 0.0036003601 0.012151215 0.0074257427 0.01650165 0.009450945 0.00930093 0.0044254423 0.0029252926 0.002850285 0.0023252326 0.001050105 0.003150315 0.0036753675 0.004050405 0.0023252326 0.0044254423 0.004050405 0.0036003601 0.021377137 0.059555955 0.02220222 0.005850585 0.013051305 0.01380138 0.007350735 0.0041254126 0.0060756076 0.003450345 0.00960096 0.001050105 0.0014251425 0.007875788 0.0039753974 0.004650465 0.003150315 0.008250825 0.0045754574 0.0036753675 0.01050105 0.012076207 0.00630063 0.0156015605 0.015451545 0.0069756974 0.0024752475 0.0054755476 0.0018751875 0.0023252326 0.0006750675 0.0014251425 0.02070207 0.001350135 0.03607861 0.008775878 0.028052805 0.022502251 0.05318032 0.0063756374 0.015226522 0.012151215 0.04320432 0.00270027 0.0039753974 0.02820282 0.012451245 0.033378337 0.036228623 0.016651666 0.0014251425 0.04110411 0.039453946 0.05550555 0.010276028 0.00510051 0.009150915 0.0060006003 0.0069756974 0.002550255 0.00120012 0.001050105 0.00075007504 0.0019501951 0.00097509753 5.780781 0.0 21.0 0.0 5.0 272336.0 278528.0 1.0 0.0 266.0 0.0 1.0 1.0 0.0 0.0 1345038700.0 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 69632.0 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 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 165376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2354307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2891507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4519176 0.0 7.146285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69229.0 0.0 167936.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 2.0 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 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 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 -1.0 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 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 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 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 -1.0 0.0 3.0 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 1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -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 -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 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 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 92500.0 91436.0 110592.0 0.0 0.0 6096.0 192512.0 0.0 0.0 28.0 74928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 86736.0 0.0 0.0 1148.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.43092313 0.005490551 0.010444291 0.0051583108 0.003875639 0.0019068354 0.0013894364 0.0012012913 0.006169217 0.0011027391 0.0012012913 0.0010280784 0.0025078543 0.00087054423 0.00070031773 0.0027363163 0.0027639407 0.00062043074 0.0007802048 0.00076975225 0.0013580789 0.0015133732 0.00055547594 0.00053083786 0.0011983049 0.0005890732 0.0004957473 0.00065178826 0.0010870604 0.00050619984 0.0006555213 0.0006480552 0.002744529 0.0004614034 0.00057488773 0.00054203696 0.0030058415 0.00092206016 0.000500227 0.00053905055 0.0013424001 0.0008391867 0.0007525803 0.0014640972 0.0025332388 0.0011206578 0.0008802501 0.00069434487 0.0032231042 0.0018583059 0.0018500931 0.0056227003 0.0020628762 0.0015529434 0.0018807041 0.001779912 0.0026601623 0.0016111789 0.0015753417 0.0022622205 0.0020068807 0.0018008171 0.0012386217 0.0012266759 0.003912223 0.0017194368 0.0016656811 0.0019941884 0.0032947785 0.016424617 0.0032701404 0.0010945265 0.0013842102 0.0012460878 0.0007279422 0.00073839474 0.0017194368 0.0026900265 0.0008683044 0.0008197749 0.0075952373 0.001793351 0.0010504767 0.0023995962 0.0016402965 0.0072577707 0.0019277403 0.0013894364 0.0016962921 0.0030633302 0.0018224687 0.0015768348 0.0013058163 0.0020382383 0.0011736669 0.0009362457 0.0010788477 0.0013386671 0.0007115169 0.0010340513 0.0043392824 0.0023749582 0.0013110426 0.00082052156 0.004876093 0.0016537354 0.0043101646 0.0007555667 0.0020905007 0.000969843 0.0015790747 0.0015268122 0.0013364273 0.0006413358 0.0016589616 0.0013185086 0.0042153453 0.0044624726 0.0010527165 0.0008324673 0.0012677393 0.0009048882 0.0005935529 0.0004726025 0.0012669928 0.0012363818 0.0007704989 0.0005808606 0.0022547543 0.0015902738 0.0005121727 0.004915663 0.0025645965 0.009256438 0.0005136659 0.000483055 0.0012199566 0.0052396907 0.0008548655 0.024378225 0.00121697 0.016774029 0.0005465166 0.00050396 0.0013886897 0.0004210866 0.0004987338 0.0004128739 0.001025092 0.0023309083 0.00046886946 0.00048678805 0.0013334409 0.00067642634 0.00045991017 0.0004718559 0.0011408161 0.0005509963 0.0004218332 0.00047558892 0.00100792 0.0018717448 0.00032701404 0.000667467 0.0012221964 0.00043900515 0.00041735356 0.00042332642 0.0009257932 0.00041810016 0.0004718559 0.00040764766 0.0011669474 0.00036658425 0.00044647124 0.00048753465 0.0013677848 0.00063386967 0.00050396 0.0006831458 0.0010773545 0.0008951823 0.00048828125 0.0005368107 0.0042937393 0.0017052513 0.0050903694 0.0005950461 0.001150522 0.0007428744 0.0006532815 0.001255047 0.0073906668 0.0015716086 0.001768713 0.004473672 0.0027997778 0.0024443928 0.0016724006 0.0013558391 0.0017791655 0.0013334409 0.00044721784 0.0007257024 0.0012423547 0.00035463853 0.00054875645 0.00071748975 0.0016880793 0.00057339447 0.0012416082 0.00065029506 0.0013633051 0.00042855265 0.0006510417 0.00055696914 0.0026974925 0.00052262517 0.0005203854 0.0013633051 0.0014969478 0.0005069464 0.0005808606 0.00043004588 0.0021860665 0.0005509963 0.0004539373 0.00074660743 0.0019598445 0.0010616757 0.00045916357 0.00043975178 0.025155444 0.001751541 0.0005636886 0.0023883972 0.003124552 0.0005166523 0.00047857536 0.00046737623 0.003060344 0.00052859803 0.0006137113 0.000562942 0.0027691668 0.00044647124 0.00084068 0.002002401 0.0042646215 0.0007675124 0.0023883972 0.005404691 0.0090675475 0.00584071 0.006757544 0.068176456 0.34736037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014095525 1.4943573e-05 1.04605015e-05 3.7358932e-06 2.0547413e-05 8.9661435e-06 2.241536e-05 1.3449216e-05 1.4943573e-06 1.8679466e-06 2.9887146e-06 5.60384e-06 8.9661435e-06 7.4717866e-07 2.2415359e-06 2.2415359e-06 0.0020517525 1.75587e-05 3.1007916e-05 7.0981973e-06 1.8305876e-05 1.04605015e-05 3.7358932e-05 1.75587e-05 2.1294592e-05 1.1207679e-06 2.2415359e-06 1.3822805e-05 1.4569984e-05 9.339733e-06 1.8679466e-06 3.9974057e-05 0.0019396758 2.0921003e-05 3.250227e-05 8.9661435e-06 2.5030486e-05 1.4196395e-05 4.520431e-05 2.166818e-05 4.8566612e-06 1.3449216e-05 5.60384e-06 1.9800234e-05 1.8305876e-05 1.4196395e-05 2.9887146e-06 0.00010796732 0.0023607109 3.399663e-05 4.0721236e-05 4.1094827e-05 0.0001367337 5.2676096e-05 4.483072e-05 3.7358932e-05 1.6064341e-05 1.120768e-05 1.04605015e-05 2.6524842e-05 7.060838e-05 2.6151252e-05 8.218965e-06 0.00014308472 0.0022740383 3.810611e-05 3.362304e-05 4.445713e-05 9.974835e-05 7.284992e-05 0.00017185109 0.0001120768 8.4057596e-05 1.1581269e-05 6.724608e-06 1.643793e-05 3.9974057e-05 1.8305876e-05 8.592555e-06 2.80192e-05 0.0011028356 3.1381504e-05 4.9313792e-05 2.6151252e-05 6.2389416e-05 1.3449216e-05 2.80192e-05 4.6325076e-05 2.9139968e-05 1.04605015e-05 1.1954859e-05 3.1381504e-05 8.218965e-06 7.845376e-06 3.7732523e-05 3.362304e-05 0.003314858 2.8766379e-05 8.667272e-05 0.00033324168 0.0008756934 0.00051144377 0.0023476353 0.0012657206 7.3223506e-05 1.5690752e-05 2.0173824e-05 5.678558e-05 0.0001154391 2.727202e-05 3.8479702e-05 7.02348e-05 0.0023491296 9.414451e-05 0.00044980156 0.0014969724 0.0022774006 0.0013998392 0.0021567312 0.0014659645 0.000103857834 4.0347648e-05 4.7072255e-05 6.64989e-05 0.00015541316 4.0347648e-05 4.1094827e-05 5.7159166e-05 0.0037321574 0.00015466598 0.00026039177 0.00039114803 0.0009444338 0.00046997538 0.0006534077 0.00043971464 0.0006720872 0.00024395384 8.667272e-05 0.00014756779 0.00020211183 0.00010273707 0.00025067845 0.0011947387 0.0058735716 0.0010800468 0.0013423065 0.013433525 0.0013198911 0.0010867714 0.0017603529 0.0013975977 0.0022527436 0.0011047036 0.0011659723 0.001271698 0.0011465456 0.0011312285 0.0017525075 0.005726751 0.012138665 0.0011446777 0.0021518746 0.0021455234 0.0037026438 0.002611763 0.0025041692 0.0017782853 0.009163026 0.0019452797 0.0010576313 0.0023973228 0.002384247 0.0012220107 0.0034306708 0.016021753 0.042618696 0.004910832 0.0060618604 0.0063289767 0.015444556 0.013127929 0.008390816 0.0068187523 0.029981663 0.0046567908 0.003459437 0.007912622 0.011165091 0.0054622497 0.0172404 0.04671772 0.0474111 0.0069177537 0.008126315 0.009716685 0.018373497 0.019037738 0.01237029 0.008945596 0.030158745 0.004245843 0.0049616396 0.009454425 0.015032487 0.00698089 0.0192066 0.04302367 0.00042850696 0.00023984435 0.0002491841 0.00025927098 0.00029214684 0.00027384097 0.00024993127 0.0002622597 0.00031755093 0.00027047866 0.00023536128 0.00026562202 0.00028280713 0.00023984435 0.00031344144 0.00041057466 3793.0 15.11363 57326.0 0.015926456 0.0012210864 0.002285176 0.0014827478 0.002477061 0.0012036423 0.0017269651 0.0027736106 0.0054600006 0.0047971252 0.0014827478 0.006803196 0.0028084987 0.0019362941 0.009768691 0.006314761 0.017199874 0.017112654 0.019275721 0.017723197 0.013763389 0.013571504 0.015281024 0.015786903 0.016397446 0.013309842 0.010222238 0.015472909 0.010518787 0.012123643 0.009681471 0.007239298 0.0031050483 0.012088755 0.0064019817 0.010309458 0.01172243 0.011495656 0.008582493 0.0098908 0.0069253044 0.011443324 0.0057565505 0.0055472213 0.009419809 0.008948819 0.009158148 0.007535848 0.0118270945 0.027579108 0.00805917 0.017374316 0.0111467745 0.0069427486 0.009454697 0.011879426 0.007256742 0.009280257 0.0064019817 0.005111119 0.004378467 0.0048843455 0.0046401285 0.0047099045 0.0024247288 0.021072462 0.007239298 0.016135786 0.018019747 0.044412658 0.009733804 0.010763004 0.011739873 0.021648118 0.0065589785 0.008983707 0.026183581 0.0118270945 0.022869205 0.024875274 0.0098908 0.0050064544 0.024962496 0.019083837 0.030596936 0.012681855 0.009629139 0.008774378 0.00682064 0.0100303525 0.005948435 0.0028084987 0.0015001919 0.003035272 0.0015001919 0.0008373164 6.250584 0.0 0.0 0.0 66.0 1339392.0 446464.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 369664.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369664.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6768517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6950107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.403419 0.0 0.0 0.0 0.0 0.0 0.0 -4.051786 6.7841635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3581.0 0.0 0.0 0.0 0.0 0.0 -28128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -369508.0 0.0 0.0 0.0 0.0 0.0 0.0 -6980.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6980.0 409600.0 6848.0 438272.0 0.0 0.0 0.0 0.0 18372.0 417792.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.09455448 0.007874707 0.0043386123 0.0047398712 0.0069389585 0.0027476833 0.0034107012 0.002862105 0.007589437 0.0021395253 0.0018918732 0.0019765138 0.0053104116 0.0019044126 0.001534502 0.006007912 0.00552985 0.0016614628 0.0015877942 0.0014827772 0.0034796675 0.0018809013 0.0015815245 0.0014624008 0.0028197847 0.0015627155 0.0012711758 0.0014388895 0.0021975196 0.0013276029 0.0013401422 0.0016348168 0.003782179 0.001268041 0.0016285471 0.0014639682 0.0041285786 0.0013448445 0.0011081643 0.0013448445 0.0017241596 0.0013464119 0.001373058 0.0024749527 0.04777646 0.0016614628 0.0018276091 0.0015940638 0.0035862518 0.00223984 0.002123851 0.004689714 0.0024780876 0.0020156992 0.0018464181 0.0018809013 0.00309565 0.0030737063 0.0022664862 0.05007743 0.0027978406 0.0021755758 0.0021896826 0.0027900035 0.0043307752 0.0027947058 0.0022194635 0.0045251353 0.007448369 0.010594177 0.0031113243 0.0022727558 0.0025376494 0.0018370136 0.0017696146 0.0014200805 0.0016818392 0.006280643 0.0018667945 0.0016865415 0.006797891 0.002742981 0.0017570753 0.0033291953 0.0018025305 0.0034984765 0.004037668 0.0030392231 0.0017570753 0.00390914 0.0015940638 0.0018605249 0.0014921817 0.0033385998 0.0027711946 0.0024138233 0.0015094234 0.0025752673 0.0013887321 0.0020251037 0.0025940763 0.0043511516 0.0027257395 0.0018840361 0.0027116328 0.002562728 0.005106647 0.0017727495 0.0025470539 0.0019341935 0.0023307502 0.002705363 0.0024733853 0.0012539342 0.0030219816 0.0032351504 0.008822994 0.009866895 0.0019451655 0.001771182 0.0021222837 0.0017523731 0.0012382601 0.0014279176 0.0022320028 0.0036473812 0.0024232278 0.0021896826 0.0033323301 0.001725727 0.0015015862 0.009763446 0.0030548973 0.0065706153 0.0014326199 0.0013448445 0.0023197783 0.007990696 0.0017915585 0.019881127 0.001868362 0.009495417 0.0012445297 0.0014514289 0.0013793276 0.0010564396 0.0013072264 0.0016410864 0.0017790191 0.0015141256 0.0011301083 0.0011504847 0.0013323051 0.0011755633 0.0010924902 0.0012335578 0.001898143 0.0016175752 0.0013699231 0.0015940638 0.0017100528 0.0013950018 0.0009827709 0.0015031536 0.001515693 0.0016426538 0.0009780687 0.0013761928 0.0016128729 0.0011567543 0.0012272882 0.0013558164 0.0019310587 0.0015799571 0.0010846531 0.0013276029 0.001763345 0.0010627093 0.0012507994 0.0014984513 0.0018667945 0.0021881151 0.00214266 0.002261784 0.002742981 0.0012774455 0.0012366927 0.0013965692 0.0018652271 0.0019122497 0.0016457887 0.0015250975 0.005152102 0.002619155 0.0025078685 0.0036552183 0.003214774 0.0014012714 0.0035204203 0.0034906394 0.0023135087 0.0024216603 0.0014624008 0.001553311 0.003362111 0.0013902995 0.002945178 0.0017805866 0.0027100653 0.0019765138 0.0017586427 0.001725727 0.0023746379 0.0014059737 0.001849553 0.0014608334 0.0022570817 0.0019639744 0.0016301145 0.0020674241 0.0020219688 0.001916952 0.0015815245 0.0016442213 0.002971824 0.0018620923 0.0016645977 0.0016692999 0.0020627219 0.0016426538 0.0015250975 0.0018699294 0.05922645 0.0036207351 0.0013761928 0.004471843 0.0037665048 0.0017774517 0.001485912 0.0016066033 0.0038856287 0.0022147612 0.0017398337 0.0019639744 0.0022225983 0.0014498614 0.0032884425 0.0023871772 0.0041317134 0.0018652271 0.0015705526 0.002689689 0.005159939 0.0032696335 0.005777502 0.09766894 0.009646302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015268602 7.850181e-07 1.8840434e-05 1.8840434e-05 0.0 0.0 7.850181e-07 7.850181e-07 1.5700361e-06 7.850181e-07 0.0 0.0 2.3550542e-06 7.850181e-07 1.8055416e-05 1.7270399e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012897847 6.986661e-05 1.0205235e-05 7.0651627e-06 8.321192e-05 6.2801446e-06 3.9250904e-06 1.4130325e-05 1.9625451e-05 8.635199e-06 1.8055416e-05 1.1775272e-05 4.7101084e-06 1.0205235e-05 4.7101084e-06 4.5531047e-05 0.0011900874 5.1026174e-05 4.945614e-05 7.850181e-06 0.00011382762 2.826065e-05 3.6110832e-05 3.1400723e-05 1.4130325e-05 7.0651627e-06 1.7270399e-05 1.0205235e-05 7.850181e-06 1.4915344e-05 1.0990253e-05 1.7270399e-05 0.021710461 0.00042783486 0.001387912 0.0014083225 0.002774254 0.0002480657 0.0006123141 0.00037445364 0.00017505903 0.00039250904 0.00027946645 0.00016877889 0.0005118318 0.00052439206 0.0010534943 0.0033206264 0.008873059 0.0002127399 0.026987351 0.027172616 0.0011673219 0.0004678708 0.0017238997 0.0011021654 0.000390939 0.0002778964 0.0002260852 0.0002480657 0.00053145725 0.00071436644 0.027222073 0.032907173 0.005992043 0.00018133917 0.01607874 0.01647125 0.0012976349 0.00077638286 0.0027499183 0.0014091075 0.00042861988 0.00034933304 0.00035796824 0.00031008213 0.00045923557 0.0009090509 0.017217802 0.02343593 0.004081309 8.949206e-05 0.0028456906 0.002822925 0.0015480557 0.00066569535 0.0029249773 0.0015119448 0.0003249975 0.00026455108 0.00013109802 0.00011932275 0.00015386354 0.00027004624 0.0028951466 0.00346664 0.007876086 0.0007253567 0.0023055982 0.010595389 0.0026824067 0.0013706416 0.003040375 0.0022938228 0.0013345308 0.0007551874 0.000781878 0.0014357981 0.0008297641 0.0018369423 0.0017662907 0.002170575 0.007898067 0.0008540997 0.0014043973 0.0016556032 0.0020559623 0.0013926221 0.002299318 0.00217764 0.0045640953 0.0005393074 0.00045531048 0.001347876 0.0012254133 0.00077873794 0.0014499284 0.008486831 0.029227009 0.005641925 0.0034603598 0.0050256858 0.012083784 0.01021858 0.004603346 0.008695645 0.022705862 0.0016548181 0.0015409905 0.0031557728 0.009508139 0.0027169476 0.010918031 0.02318394 0.040484954 0.0097695505 0.0067173997 0.009143891 0.01780107 0.015468782 0.007675122 0.015611655 0.030601576 0.0029257624 0.0035883177 0.0049244184 0.0147332195 0.0065274253 0.01413111 0.026583852 0.015513527 0.014224527 0.014611541 0.015062927 0.014790526 0.015505677 0.015021321 0.016185503 0.014266918 0.015105318 0.014992275 0.015913887 0.014858037 0.016051264 0.01603478 0.017842676 2244.0 12.286542 27571.0 0.023466686 0.0025751696 0.0031192196 0.0019223096 0.011715208 0.0034456495 0.0024663596 0.0038083494 0.0036995395 0.0031554895 0.0023575495 0.0036269994 0.005150339 0.007580429 0.0100467885 0.006456059 0.018787857 0.012077908 0.011497588 0.010373218 0.012658228 0.009393929 0.008559719 0.009684089 0.012114178 0.011134888 0.011388778 0.008994958 0.011606398 0.008233288 0.009647818 0.017264517 0.030067826 0.012767037 0.0035907293 0.0077980487 0.013419897 0.005658119 0.007580429 0.010880998 0.0065285987 0.008378369 0.0035181893 0.0029741395 0.006274709 0.0047513694 0.006347249 0.005222879 0.014036488 0.0037720792 0.005114069 0.013238547 0.006492329 0.0063835187 0.011606398 0.0070001087 0.007435349 0.004497479 0.0035544594 0.0026477096 0.0041347793 0.0029378694 0.0027565195 0.010482028 0.004642559 0.031772513 0.011026078 0.020274926 0.021435566 0.044757172 0.0073628086 0.012222988 0.011642668 0.026876066 0.006891299 0.005367959 0.023829386 0.014181567 0.022632476 0.028870916 0.015305937 0.0023575495 0.031337276 0.029741395 0.04787639 0.014616808 0.006963839 0.005186609 0.0073265387 0.007761779 0.0027202496 0.0026114394 0.0046062893 0.0030829494 0.0019948496 0.0028653296 6.1595535 0.0 28.0 0.0 9.0 637992.0 643072.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542099000.0 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 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.979704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9448757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6346464 0.0 6.327753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46450.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 298544.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 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 -2.0 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 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 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 -1.0 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 1.0 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 -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 -2.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 295572.0 298544.0 323584.0 0.0 0.0 11304.0 626688.0 12096.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 274904.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.045475032 0.00937978 0.007884205 0.0072730007 0.009820258 0.0055349926 0.008153955 0.0070442255 0.0069486178 0.0045686737 0.005787669 0.005231097 0.006149612 0.0040838066 0.005978884 0.004756474 0.006538871 0.004237462 0.004206731 0.004657452 0.005432556 0.003974541 0.0049442747 0.004800863 0.005606698 0.003438456 0.0040769777 0.00455843 0.005907179 0.0028852983 0.0054940176 0.0044081896 0.008225661 0.0044389204 0.005340363 0.004182829 0.00497842 0.0035374782 0.0044833096 0.0050671985 0.004756474 0.0031755355 0.004121367 0.0037833261 0.0042238035 0.003155048 0.0045379424 0.0049272017 0.0053267046 0.0034794307 0.0038721045 0.0051286602 0.004664281 0.0032916302 0.004302338 0.0039335666 0.00463355 0.0032335827 0.0032369974 0.0036365003 0.0046950122 0.0025472573 0.003431627 0.0037321078 0.006166685 0.0043228255 0.004712085 0.004421848 0.0056818184 0.0032301683 0.0041247816 0.003977956 0.005343777 0.0031072444 0.0035477218 0.0034657726 0.0048076925 0.0031687063 0.0037867406 0.0041794144 0.0044764807 0.0026872542 0.0034486998 0.0040121013 0.0045140404 0.003376994 0.0041111233 0.0041008797 0.0050501255 0.002137511 0.002957004 0.0033599213 0.0045242845 0.0027555453 0.0029979786 0.0034418707 0.0053710938 0.0038721045 0.0033018738 0.0036569876 0.0048076925 0.002857982 0.0051832935 0.0034657726 0.0045276987 0.0038174717 0.002933102 0.0036125984 0.0049818344 0.0035340637 0.003837959 0.0045311134 0.005176464 0.0025677448 0.004534528 0.0036262565 0.004380873 0.0031584627 0.003530649 0.0040360033 0.004046247 0.0032267538 0.002236533 0.0030628552 0.0029809058 0.0019155649 0.0022809221 0.0035477218 0.006617406 0.0038652753 0.003790155 0.0037286931 0.0041930727 0.003223339 0.003424798 0.0039233225 0.00421356 0.002810178 0.0028238364 0.0035443073 0.003370165 0.0026701814 0.0029160292 0.0042169746 0.0058935205 0.0027589598 0.0034999182 0.0033906524 0.0029501747 0.0025096973 0.0024926246 0.0033838232 0.0032267538 0.004022345 0.002543843 0.0029194439 0.003376994 0.0021204383 0.003148219 0.0032267538 0.0035204054 0.0025370137 0.0026189631 0.0026326212 0.003653573 0.0023833588 0.0029057856 0.0034486998 0.0031960227 0.0024687226 0.0025950612 0.003093586 0.0032984593 0.0026394504 0.0026394504 0.003056026 0.004503797 0.0025575012 0.001638986 0.002636036 0.0033462632 0.0023457988 0.002926273 0.00317895 0.0034896743 0.0021272672 0.0023321405 0.0029194439 0.0033838232 0.0018165428 0.002082878 0.0031243172 0.005125246 0.0033428485 0.0029365167 0.003400896 0.0035716237 0.0022228747 0.0027316434 0.0030970008 0.004421848 0.003308703 0.0018404447 0.0026701814 0.0043638004 0.002297995 0.0021170236 0.003376994 0.0033940668 0.0021887294 0.002673596 0.0028852983 0.0027931053 0.0021033655 0.0028613964 0.0028272509 0.0035818673 0.0019019067 0.0025335993 0.0031994372 0.002649694 0.0021784855 0.002680425 0.003277972 0.004121367 0.0023765296 0.0022843368 0.0024516499 0.0049374453 0.001700448 0.0020862927 0.0036706456 0.0030082222 0.0021545838 0.0021477547 0.0028170072 0.0039233225 0.0023560424 0.0021853147 0.0037560095 0.0038106425 0.0017619099 0.0027896909 0.0030048077 0.0024721373 0.001539964 0.0024175043 0.0035238198 0.0033428485 0.0020555616 0.0018745903 0.0029604186 0.0035579654 0.0029228583 0.0047906195 0.014832824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003087308 1.8845943e-05 2.7412281e-05 2.2272478e-05 2.5699013e-05 1.7132676e-05 1.7132676e-05 2.7412281e-05 1.5419408e-05 2.3985745e-05 1.8845943e-05 1.5419408e-05 2.0559211e-05 3.2552085e-05 0.00011478893 2.3985745e-05 0.0029810856 7.8810306e-05 2.7412281e-05 2.7412281e-05 6.167763e-05 2.5699013e-05 1.7132676e-05 1.1992873e-05 4.1118423e-05 2.0559211e-05 2.5699013e-05 2.0559211e-05 1.8845943e-05 2.2272478e-05 0.000101082784 2.7412281e-05 0.0028234648 8.2236846e-05 4.9684757e-05 4.6258225e-05 5.9964364e-05 2.7412281e-05 2.5699013e-05 2.5699013e-05 0.00014734101 2.0559211e-05 2.3985745e-05 2.0559211e-05 2.3985745e-05 2.2272478e-05 8.2236846e-05 2.7412281e-05 0.0027138158 0.00012506853 5.4824563e-05 5.653783e-05 5.1398027e-05 2.2272478e-05 2.3985745e-05 2.5699013e-05 0.00021758498 2.0559211e-05 3.0838815e-05 2.3985745e-05 3.0838815e-05 2.0559211e-05 7.1957234e-05 1.8845943e-05 0.0022666529 8.0523576e-05 2.3985745e-05 2.9125547e-05 0.00062191614 4.4544955e-05 1.1992873e-05 8.566338e-06 8.737665e-05 5.139803e-06 1.0279606e-05 8.566338e-06 2.3985745e-05 1.7132676e-06 4.4544955e-05 0.00023985746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046309624 5.9964364e-05 0.0012386924 0.0002844024 0.0008018092 9.765625e-05 0.000755551 0.00081208884 0.00058422424 5.1398027e-05 1.8845943e-05 8.2236846e-05 0.00014562774 4.1118423e-05 2.3985745e-05 0.0008977522 0.008542352 0.0002809759 0.001351768 0.0007435581 0.00034436677 0.00027583606 0.0013055098 0.0006510417 0.00050370063 0.0005276864 8.566338e-05 9.422971e-05 0.00067502743 0.00015076755 0.0006047834 0.0014065927 0.010829564 0.00027583606 0.00041289747 0.0014442846 0.00046086896 0.00037349234 0.0012284128 0.00076925714 0.00076754385 0.0012832374 0.00014905428 0.0004540159 0.0014494243 0.00020901865 0.0015179551 0.0029365406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011564556 0.0003957648 0.00038205867 0.0011239036 0.00039405155 0.00035807292 0.0003957648 0.00032894738 0.0003752056 0.0002638432 0.0002484238 0.000243284 0.00026726973 0.00031010143 0.000243284 0.00053111295 0.103246644 0.07398746 0.069281116 0.0595172 0.06536801 0.05685821 0.06041838 0.051644735 0.056767408 0.049426056 0.04623424 0.04358895 0.048336416 0.04306469 0.043321684 0.05174582 2134.0 6.460637 13787.0 0.041851018 0.00935664 0.02596649 0.009284108 0.011532603 0.0072532096 0.009719301 0.011895264 0.008413723 0.006890549 0.008123594 0.009791833 0.008558787 0.0074708057 0.012040328 0.011895264 0.013998695 0.012185392 0.009646769 0.0087763835 0.010879815 0.008486255 0.010807282 0.009574236 0.011387539 0.0063828244 0.00863132 0.007543338 0.013418438 0.006818017 0.008848916 0.0087763835 0.013998695 0.011169943 0.0102270255 0.010589686 0.027054472 0.00863132 0.008413723 0.009501705 0.012330457 0.0063828244 0.0072532096 0.007035613 0.0116776675 0.008268659 0.009936897 0.011315007 0.012330457 0.0064553567 0.010009429 0.012983245 0.012185392 0.006963081 0.009211577 0.010879815 0.014143758 0.0050772466 0.006890549 0.006963081 0.010009429 0.005367375 0.006818017 0.0071081454 0.011242474 0.012620585 0.009719301 0.012838181 0.01247552 0.014433887 0.010662218 0.009211577 0.0117502 0.012838181 0.0063828244 0.008123594 0.014143758 0.010372089 0.012330457 0.015159208 0.014143758 0.006020164 0.015957061 0.013418438 0.01247552 0.009936897 0.007833466 0.012402988 0.009139044 0.0071806773 0.006818017 0.006020164 0.0056575034 0.0034090085 0.0056575034 0.00623776 6.467673 1.0 0.0 0.0 3.0 292864.0 1069056.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1244841700.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 274432.0 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 -272384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.910705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.297913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 0.0 0.0 0.0 0.0 770048.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212.0 1067440.0 18864.0 1048576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.2730606 0.020901864 0.012369792 0.008532072 0.015864857 0.008292215 0.017955044 0.007949562 0.0061334977 0.0038377193 0.030256305 0.0037691887 0.0035293312 0.0038719845 0.006373355 0.00243284 0.003426535 0.007401316 0.006818805 0.005448191 0.005790844 0.0025699013 0.00884046 0.0041461075 0.002535636 0.0016447369 0.001370614 0.0031524124 0.0037349232 0.0046258224 0.0020216557 0.0029810856 0.0070586624 0.0029810856 0.0015762062 0.00095942983 0.0009936952 0.0053111296 0.0020901863 0.0008223684 0.018023575 0.0013020834 0.0030838817 0.0023643093 0.003974781 0.003974781 0.0040775766 0.00085663376 0.002741228 0.0016104715 0.0014048794 0.0021929825 0.0011307566 0.0008223684 0.0007538377 0.0007881031 0.0011307566 0.0014048794 0.00058251095 0.00023985746 0.0009936952 0.0007881031 0.00071957236 0.00047971492 0.0007538377 0.00243284 0.0015762062 0.0038034539 0.0018845943 0.0031524124 0.001850329 0.0015076754 0.001267818 0.0029810856 0.0003426535 0.0006167763 0.0016104715 0.0027754933 0.00147341 0.0013363487 0.0019188597 0.0020216557 0.002158717 0.0045230263 0.002158717 0.0011307566 0.0018845943 0.0015076754 0.0009251645 0.0010279606 0.0007538377 0.0003426535 0.0008908991 0.00030838815 0.0003426535 0.003323739 0.00037691885 0.008360745 0.0023300438 0.00486568 0.0045230263 0.01966831 0.0014048794 0.003426535 0.0015419408 0.009662829 0.0011650219 0.00085663376 0.0061334977 0.0049342103 0.008737665 0.017201206 0.009834155 0.0010622259 0.01696135 0.0095257675 0.014048794 0.003323739 0.0017132675 0.0009936952 0.0014391447 0.003700658 0.0005482456 0.0006510417 0.00030838815 0.0002055921 0.005790844 0.0008908991 0.00486568 0.0025013706 0.0013363487 0.00047971492 0.00589364 0.0008223684 0.0029810856 0.001850329 0.0028782894 0.0022957786 0.0011992872 0.0011650219 0.0021244518 0.0011992872 0.00442023 0.0024671052 0.0050370065 0.0019188597 0.00017132676 0.0001370614 0.0012335526 0.0048314147 0.0011307566 0.0016447369 0.0016790022 0.0005482456 0.006441886 0.0011992872 0.0011992872 0.00037691885 0.0002741228 0.0030153508 0.0004111842 0.006750274 0.002535636 0.00037691885 0.003940515 0.0015419408 0.0009936952 0.0045572915 0.0015076754 0.00044544955 0.0021244518 0.0010279606 0.0014048794 0.002638432 0.0030496162 0.0009936952 0.003323739 0.00058251095 0.00010279605 0.0011307566 0.00023985746 0.0002055921 0.0011307566 0.0016104715 0.0030838817 0.001850329 0.0061334977 0.00030838815 0.0023300438 0.0020216557 0.0020216557 0.0020559211 0.0003426535 0.000685307 0.0002055921 0.00023985746 0.00023985746 0.00030838815 0.0002741228 0.0002741228 0.00023985746 0.000685307 0.00037691885 0.0001370614 0.00017132676 0.0004111842 0.00023985746 0.00023985746 0.0003426535 0.0004111842 0.00023985746 0.0026041667 0.00017132676 0.0004111842 0.000685307 0.0002055921 0.0001370614 0.0010964912 0.00058251095 0.0002055921 0.00044544955 0.00047971492 0.004009046 0.00023985746 0.00023985746 0.0004111842 0.00047971492 3.426535e-05 0.0035978619 0.019634046 0.008189419 0.011821546 0.0009251645 0.006236294 6.85307e-05 0.00010279605 0.0002055921 0.00023985746 0.0008223684 6.85307e-05 0.0001370614 0.000685307 3.426535e-05 3.426535e-05 0.00058251095 6.85307e-05 0.00030838815 0.00030838815 0.00017132676 0.00044544955 0.0002741228 6.85307e-05 6.85307e-05 0.0004111842 0.0012335526 0.0033580044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005190249 0.0 0.000922309 0.00025318286 0.0072699655 0.0044487845 0.037615743 0.018373843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04215495 0.0036711516 0.005063657 0.002170139 0.0033637153 0.0025318286 0.007396557 0.0043583624 0.00061487267 0.00016276042 0.00014467593 0.00012659143 0.00012659143 0.00048828125 0.00012659143 0.0015733507 0.29324 0.056369357 0.048990887 0.012297453 0.008391203 0.009349681 0.01651114 0.029947916 0.022370515 0.017813222 0.01824725 0.014992042 0.0032190394 0.008897569 0.026638456 0.0053168405 0.032714844 0.0039243344 0.002586082 0.001808449 0.004756221 0.0037073207 0.013870805 0.006438079 0.006655093 0.0058412906 0.0071976273 0.005895544 0.0011031539 0.0020978008 0.0116102435 0.0009042245 0.020254629 0.0015914352 0.0018627025 0.0011574074 0.004683883 0.0036711516 0.016257957 0.010073061 0.0022063078 0.0017361111 0.0022063078 0.0021520543 0.0007776331 0.0013020834 0.0034722222 0.00066912617 0.0133463545 0.00032552084 0.0007233796 0.0007595486 0.0020073785 0.0021158855 0.0077582467 0.004756221 0.006817853 0.0067635993 0.008192275 0.0064199944 0.0 0.0 0.014087819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 298.0 13.278523 3957.0 0.001769017 0.0002527167 0.0 0.0010108668 0.0022744504 0.0 0.0002527167 0.0 0.0 0.0 0.0002527167 0.0002527167 0.0 0.0012635835 0.01617387 0.0 0.0015163003 0.0032853172 0.002527167 0.0020217337 0.0010108668 0.0002527167 0.0005054334 0.0 0.0002527167 0.0002527167 0.0 0.0 0.0002527167 0.0 0.0002527167 0.0 0.0 0.008845084 0.0073287846 0.01844832 0.008592368 0.010361385 0.005307051 0.0075815013 0.0032853172 0.011624969 0.0005054334 0.0010108668 0.004296184 0.013141269 0.0048016175 0.0048016175 0.0055597676 0.0005054334 0.008339651 0.025018955 0.011119535 0.0030326005 0.0032853172 0.0037907506 0.0002527167 0.0005054334 0.0002527167 0.0 0.0 0.0 0.0 0.019459186 0.0007581501 0.05003791 0.012888552 0.028556988 0.022997221 0.12812737 0.0055597676 0.020217337 0.008339651 0.05357594 0.0040434673 0.0022744504 0.034369472 0.02982057 0.050290626 0.054839525 0.01996462 0.0005054334 0.05913571 0.044225425 0.09047258 0.017690169 0.0078342175 0.003538034 0.0037907506 0.01844832 0.0007581501 0.0 0.0 0.0 0.0002527167 0.0 4.9594474 0.0 0.0 0.0 1.0 29184.0 49152.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1540691100.0 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 -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 11.0 0.0 4.0 0.0 4.0 0.0 28160.0 512.0 4096.0 2.0 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 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0864844 0.0 0.0 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 -28068.0 0.0 0.0 0.0 0.0 0.0 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 75.0 36176.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0