Input: 0.26084146 0.017370772 0.010620098 0.0072919712 0.009200512 0.006119255 0.0047713523 0.0030581022 0.011004509 0.0025302551 0.0033706925 0.0034198447 0.004467289 0.0031775506 0.00154049 0.016530057 0.007157479 0.0026451282 0.001858141 0.0012551447 0.003012763 0.004733223 0.0020935023 0.0010187435 0.004137506 0.001029697 0.0012233935 0.0010778784 0.0024072712 0.0011135812 0.0011820752 0.001836442 0.0068567432 0.0010012734 0.001817724 0.0010815527 0.021811718 0.0017306508 0.0015349438 0.0013313338 0.0029713062 0.0016252061 0.0007900375 0.0017276003 0.0015648233 0.00096071773 0.00078241166 0.0007713888 0.003912058 0.0009504575 0.0014739371 0.0052973274 0.002200056 0.0010915357 0.000806953 0.00075509725 0.0027558415 0.0011429061 0.0009998869 0.0030120006 0.0015302297 0.0011096296 0.0008269882 0.001025676 0.005636262 0.009900218 0.0023540289 0.0026343132 0.010637776 0.008284994 0.0017734248 0.001892388 0.030905122 0.005684998 0.001220967 0.0010676875 0.007165521 0.0027426695 0.0011876213 0.0011691112 0.0040491847 0.001159683 0.0022318766 0.0024266131 0.003811813 0.0024220375 0.002061543 0.0020927398 0.0025629078 0.0009353445 0.000772498 0.0012191646 0.0028243356 0.001474977 0.0016651378 0.0031275668 0.0028937308 0.0011544141 0.00064223475 0.0010330939 0.0026537245 0.0020049731 0.0021696915 0.00077846006 0.002924026 0.0017648977 0.0026828414 0.0012266517 0.002765963 0.0008241458 0.0013014544 0.0010802356 0.0026168432 0.00091829034 0.0018663214 0.0016681881 0.009697648 0.0035793635 0.0013214896 0.00094574335 0.0017442387 0.0008644935 0.0006158216 0.000652287 0.002902535 0.0010859895 0.0011732015 0.0011548995 0.0067754933 0.003391629 0.0011598909 0.013912452 0.0047709364 0.005957518 0.0014593094 0.0015289125 0.004428952 0.015500985 0.0009375629 0.035362497 0.0019985258 0.010121783 0.0031634083 0.0009169038 0.0023905635 0.0006357181 0.0005401871 0.000683137 0.0020429636 0.0011181568 0.00069783407 0.00056251005 0.001387973 0.00071537355 0.0004809828 0.0005171016 0.0011117788 0.0007734686 0.00081069657 0.00078151043 0.0026105344 0.00073582464 0.00066504296 0.00060362025 0.0008113898 0.0004868755 0.0004629581 0.00047613 0.0020198782 0.00064895937 0.0009813769 0.0012378132 0.0015480465 0.0009646 0.0008745457 0.0012010705 0.0025423178 0.00095690484 0.0005458718 0.00058996305 0.0013776434 0.000670797 0.004677554 0.0018247259 0.0034864668 0.0016175109 0.0029224316 0.0009600245 0.001842404 0.0009228658 0.0012891144 0.0012265131 0.007933027 0.0047025117 0.0022188434 0.0037503904 0.0038535472 0.001084603 0.0019631004 0.004370649 0.0027696374 0.0025286607 0.001406483 0.0024404782 0.015466252 0.0010660931 0.0017262832 0.0023570792 0.002748493 0.0013537954 0.002051976 0.002281722 0.00082047156 0.0008863311 0.0012968095 0.0018859407 0.0023862654 0.0010816914 0.00081152853 0.00122478 0.0007758257 0.0005693039 0.00064168015 0.0006820278 0.0038799604 0.0015349438 0.001422428 0.00095503306 0.00093021436 0.0006382832 0.00076452555 0.0008938183 0.007376202 0.0033163412 0.0011926821 0.0032758547 0.001687322 0.0010618642 0.0008456368 0.0007943357 0.0028771618 0.0011677941 0.0012972947 0.0009664718 0.0011788863 0.0006541588 0.002041092 0.002238532 0.0027419764 0.0014149408 0.001833461 0.0010963192 0.0012947298 0.0014116131 0.0019951288 0.02351762 0.09125926 5.962682e-06 2.3226726e-06 2.0800053e-06 2.0106718e-06 1.2826699e-06 3.4666755e-06 8.770689e-06 1.0781361e-05 3.4666755e-07 7.626686e-07 7.2800185e-07 5.546681e-07 3.813343e-07 8.320021e-07 3.258675e-06 0.003775487 1.7125378e-05 1.539204e-05 3.84801e-06 6.794684e-06 2.6693401e-06 5.7546813e-06 2.104272e-05 9.044557e-05 3.1893414e-06 2.842674e-06 3.120008e-06 3.8826765e-06 1.560004e-06 3.5706757e-06 1.9136049e-05 0.0034271555 3.0160078e-05 1.1266696e-05 2.1424055e-05 6.2746826e-06 4.0560103e-06 6.9680177e-06 7.4533523e-06 0.0003354702 3.536009e-06 4.7493454e-06 4.1946773e-06 3.84801e-06 3.813343e-06 5.373347e-06 2.9120074e-05 0.004815143 2.1493388e-05 2.3261393e-05 1.847738e-05 1.934405e-05 1.015736e-05 2.1354721e-05 2.0557385e-05 0.000896621 2.3122726e-05 0.00010212826 5.0925464e-05 1.2757366e-05 8.042687e-06 1.677871e-05 4.562145e-05 0.0031931202 4.2432108e-05 4.2605443e-05 2.4336063e-05 5.8621485e-05 3.324542e-05 3.3730754e-05 2.59654e-05 0.00033886754 1.4560037e-05 2.2290724e-05 1.8200046e-05 2.0661386e-05 1.8096047e-05 2.3677394e-05 6.545083e-05 0.004532401 7.91442e-05 9.11389e-05 6.118682e-05 8.8816225e-05 4.6626785e-05 6.3994834e-05 3.3938755e-05 0.0006219216 2.7490738e-05 2.9466742e-05 4.3194777e-05 4.5586785e-05 3.91041e-05 6.0632156e-05 9.914692e-05 0.0066916547 0.00014944839 0.0001713231 0.00017732046 0.0003985637 0.00012396832 0.00012220032 0.000101746926 0.00077740196 0.00010289093 9.613091e-05 0.00011973897 0.00014407503 7.023485e-05 9.886958e-05 0.0001680991 0.008215744 0.0003391102 0.0004569425 0.00029643544 0.00048294256 0.00020904053 0.00023604593 0.00013942969 0.00078745536 0.00012982699 0.00011641096 0.00010195493 0.00014189103 0.00010576827 0.00015565373 0.00022592324 0.0064332136 0.00037190496 0.00049212924 0.00030721677 0.00057702814 0.0002679047 0.00040244637 0.0002358726 0.0008059674 8.5453554e-05 0.0001046936 0.00010320293 0.00029726743 7.63362e-05 0.0001920885 0.00018089113 0.015164972 0.001699711 0.001016152 0.0008896876 0.004964037 0.0033114378 0.0034661556 0.0022542751 0.0012108751 0.0001720511 0.00033637154 0.00024339529 0.0009830105 0.00018713114 0.0003113768 0.0003530809 0.01877607 0.0030555972 0.0020452347 0.0014422063 0.0032000535 0.001943349 0.0028261032 0.0020325466 0.002072136 0.00040695304 0.0009954559 0.00060805486 0.0016811643 0.00050655066 0.0007697753 0.0012312245 0.020778144 0.0021740217 0.0022582964 0.0012276191 0.005218144 0.0010950881 0.0016676096 0.0010020426 0.006134213 0.00094463443 0.0016025747 0.0020550452 0.0026059346 0.00067797775 0.0010622587 0.0023895449 0.033767603 0.0038231884 0.0059484686 0.0030453706 0.008463645 0.0023985582 0.002447265 0.0028875328 0.013985332 0.0017328871 0.0018942956 0.004047725 0.006458174 0.001926085 0.0030713012 0.0049900366 0.120732695 0.019409396 0.02764431 0.015228378 0.056906413 0.018356185 0.011256261 0.017968126 0.06871932 0.007104917 0.006390227 0.014784193 0.037555676 0.012304376 0.018126622 0.02901805 0.020993771 0.00417308 0.0057229265 0.0036876414 0.011371008 0.0046244413 0.0029284048 0.003646596 0.012144042 0.0021236509 0.0022672752 0.002910586 0.007265459 0.0031947496 0.004282003 0.006498942 0.002761519 0.0023884354 0.0024172089 0.0024516329 0.0024981904 0.0024071902 0.0024048327 0.0024186303 0.002464009 0.002372662 0.00236143 0.002359038 0.0024219581 0.0023775501 0.0023900995 0.0024122514 44820.0 10.768362 482638.0 0.027631475 0.001425499 0.0008619297 0.00096138305 0.030124027 0.0023951698 0.00063194364 0.00063401554 0.003586539 0.0015187366 0.00087850523 0.0015311682 0.0020947377 0.0014109954 0.0019310539 0.0015746792 0.008465973 0.0029131565 0.0024407527 0.011721 0.0035451 0.0011333546 0.0013198297 0.00095931115 0.009895615 0.0030333293 0.002204551 0.004701246 0.002581645 0.0020615866 0.0011043474 0.0006277997 0.008254634 0.06499488 0.020414887 0.01746858 0.027121777 0.046378445 0.0073823445 0.01240267 0.022256847 0.021699494 0.0007914835 0.0035015892 0.023025539 0.01910956 0.011884684 0.011219589 0.021198083 0.00601486 0.017120492 0.030066011 0.024011785 0.017439572 0.01660872 0.015599684 0.0044899075 0.0030291853 0.0012183044 0.005279319 0.007979065 0.0113812005 0.013979421 0.05133247 0.002233558 0.01412653 0.002424177 0.008675239 0.010270637 0.038679093 0.0053663407 0.0051073474 0.0050348295 0.015742648 0.0051695057 0.0022832847 0.014072659 0.008946664 0.019689705 0.012122958 0.00816554 0.0022563494 0.014358588 0.017549384 0.042835418 0.008934232 0.007562604 0.002662451 0.006750401 0.0064624003 0.00082256267 0.00060500833 0.005795234 0.0007914835 0.0009427355 0.0010048939 5.8163357 2.0 54.0 0.0 29.0 14424632.0 14487552.0 1.0 0.0 204.0 1.0 1.0 1.0 0.0 0.0 1537472900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 10.0 0.0 10.0 0.0 7239680.0 1024.0 4096.0 11.0 0.0 1.0 5.0 1.0 604672.0 0.0 0.0 0.0 12800.0 -4096.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 4407296.0 0.0 0.0 0.0 0.0 272896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1377280.0 0.0 0.0 0.0 0.0 -2478080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 -5238272.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 5.455486 0.0 0.0 0.0 6.295454 -5.4229665 0.0 0.0 -2.229574 0.0 0.0 0.0 0.0 0.0 5.124125 0.0 0.0 0.0 0.0 6.523904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.430129 0.0 0.0 0.0 0.0 -5.440454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.313209 -6.403389 0.0 3.4196541 0.0 0.0 0.0 0.0 0.0 0.0 604290.0 0.0 0.0 0.0 12365.0 -3660.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 4407176.0 0.0 0.0 0.0 0.0 272400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1377268.0 0.0 0.0 0.0 0.0 -2537312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6318.0 -5238053.0 0.0 992.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 14471260.0 992.0 14479360.0 272400.0 14176256.0 20024.0 14404608.0 3660.0 14483456.0 56.0 11167584.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 11167648.0 0.0 0.0 1648.0 7229440.0 0.0 0.0 0.0 0.0


Input: 0.1431809 0.00615568 0.0041607106 0.003980892 0.00556307 0.003139476 0.003049001 0.0030772744 0.0065469835 0.0029969781 0.0030422155 0.0029540027 0.0047861175 0.003262748 0.0026396026 0.005927231 0.0047159996 0.002860135 0.0026282934 0.0026814472 0.0034787564 0.0032016775 0.0027006732 0.002615853 0.0032107248 0.0026633523 0.0025163307 0.0025751393 0.0029494788 0.002356869 0.002494843 0.002618115 0.0039842846 0.002526509 0.0024722242 0.0027413869 0.0036857177 0.0026000198 0.002509545 0.0025140687 0.002770791 0.0024009752 0.0025185926 0.0031960227 0.0029494788 0.0034889348 0.0025604372 0.0024145464 0.00351947 0.0029517408 0.002875968 0.0045859423 0.0031869751 0.0029008486 0.0027515653 0.0029065034 0.0033758413 0.0032401292 0.0028985867 0.0037931565 0.0033000687 0.0033068543 0.0028691825 0.0041041635 0.0038485723 0.003556791 0.0032717953 0.00579265 0.003989939 0.008845043 0.003262748 0.0028194212 0.0031078097 0.0027447797 0.0026633523 0.002580794 0.0028318616 0.008365528 0.0028262069 0.0026723999 0.0053459303 0.003713991 0.0029890616 0.0034154241 0.0029065034 0.005704437 0.0036721465 0.0033961982 0.002787755 0.0036201235 0.0024518673 0.0028646588 0.0026814472 0.0037377407 0.0031688802 0.0030614415 0.0034448286 0.0037060746 0.002687102 0.0030388227 0.0034267334 0.004207079 0.003891548 0.0025774012 0.003661968 0.0032672717 0.004149401 0.0025185926 0.0036359564 0.0028329925 0.0033701868 0.003455007 0.00308406 0.0024835337 0.0037230386 0.0037128602 0.006544722 0.0064474614 0.0028013263 0.002739125 0.0029404315 0.0027504342 0.0025344256 0.0024032372 0.002787755 0.0032050703 0.0026644832 0.0027866242 0.0034787564 0.003049001 0.0025841868 0.0075422064 0.0033034615 0.005842411 0.002510676 0.0024518673 0.003101024 0.008227553 0.0030094185 0.016504867 0.002647519 0.0068602525 0.002421332 0.002404368 0.0034798875 0.0023500833 0.002421332 0.0025593063 0.00272103 0.0028725753 0.0024269868 0.002459784 0.0026927565 0.0025332947 0.0024202012 0.0024891882 0.0026249005 0.0025038903 0.0024371652 0.0025027595 0.0027854932 0.002946086 0.0023862731 0.0026215077 0.0025649609 0.0023704402 0.00244282 0.0023218098 0.002753827 0.0024077608 0.0023410358 0.0023432977 0.0025875797 0.0023602617 0.002404368 0.0024077608 0.0028544804 0.0024496056 0.002337643 0.0023930587 0.0026124602 0.0025434732 0.0030648343 0.0026215077 0.0030772744 0.0025084142 0.0025626991 0.0023591307 0.0030354299 0.0027662674 0.002649781 0.0028126356 0.005231706 0.0034911968 0.00307162 0.004119997 0.0040702354 0.0027402558 0.0034945896 0.004182198 0.0035183392 0.0032107248 0.0025219854 0.0024993666 0.0075105405 0.0025479968 0.0027334702 0.0026441263 0.0030659651 0.0027289465 0.0027063277 0.0025219854 0.002839778 0.0024021063 0.002583056 0.0025706156 0.0032638789 0.0026904948 0.0024473437 0.0027526962 0.0029664428 0.0026950184 0.0025016286 0.0024812717 0.003574886 0.0026554358 0.0025423423 0.0023953207 0.0032559624 0.0029664428 0.0024835337 0.0025593063 0.00829654 0.0033192947 0.0024710933 0.0044343965 0.004693381 0.0025027595 0.0025253783 0.0025400803 0.004265887 0.0026215077 0.0027074588 0.0025898414 0.0036540516 0.002458653 0.0030603106 0.0031089408 0.004605168 0.0028476948 0.0026588286 0.0025728776 0.004809867 0.0031948918 0.00409964 0.021786334 0.073085845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033256372 7.930322e-06 1.0196129e-05 1.1329032e-05 6.797419e-06 1.2461935e-05 1.0196129e-05 7.3638703e-06 8.496773e-06 1.1895483e-05 1.1329032e-05 1.076258e-05 1.1329032e-05 1.4161289e-05 1.1329032e-05 9.063225e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00093521154 7.3638703e-06 5.0980643e-06 9.063225e-06 3.9085156e-05 2.2658062e-06 2.152516e-05 3.965161e-06 3.965161e-06 2.832258e-06 2.832258e-06 3.3987094e-06 3.3987094e-06 8.496773e-06 2.832258e-06 0.0001087587 0.0009414425 3.965161e-06 6.2309673e-06 3.3987094e-06 7.533806e-05 1.9825804e-05 4.4749675e-05 2.9455481e-05 5.0980643e-06 2.832258e-06 4.5316124e-06 5.664516e-06 4.5316124e-06 3.965161e-06 4.5316124e-06 4.5316124e-06 0.0045355777 9.6863216e-05 0.00030814964 1.6993547e-05 0.00029851997 0.00010479354 0.0008547754 0.00043673415 1.3028386e-05 4.305032e-05 1.8692901e-05 1.4161289e-05 1.1329032e-05 9.063225e-06 1.8692901e-05 0.0001801316 0.0044194553 6.3442574e-05 0.0002945548 1.7559998e-05 0.0007420516 0.00018522966 0.0004962116 0.00030361803 1.7559998e-05 4.701548e-05 1.3028386e-05 1.2461935e-05 1.9259352e-05 1.9259352e-05 4.1917418e-05 0.00026793158 0.006240597 0.00013934709 0.000496778 0.00014047998 0.0009635341 0.0002934219 0.0021083327 0.0010671947 7.307225e-05 9.6863216e-05 6.740774e-05 6.3442574e-05 6.0043865e-05 0.00013141676 0.00012461934 0.0006944696 0.012127728 0.0003579974 0.00097203086 0.00044409803 0.0022125598 0.0006219638 0.0035930022 0.0019752167 0.0003789561 0.00023111224 0.0001461445 0.00016087224 0.00021978321 0.0002934219 0.00031324773 0.00031381418 0.0036405842 0.00013538192 0.00034780125 0.00022034966 0.00092671474 0.00020222321 0.0009810941 0.0006474541 0.0002769948 0.00016880257 5.7211608e-05 0.00012688515 8.836645e-05 9.799612e-05 6.570838e-05 0.00013708128 0.0047989776 0.00073865283 0.000672378 0.0062660873 0.0009216167 0.000707498 0.0012824463 0.00092218316 0.00074431737 0.0011680231 0.00047865158 0.0005069742 0.0009980877 0.0005052748 0.00056191994 0.00076867477 0.007048923 0.00074884895 0.00055965415 0.0011912476 0.002550165 0.0016410102 0.00069900125 0.0008445793 0.005312183 0.00051490444 0.0003755574 0.00060497026 0.0021848036 0.00065538444 0.0017967843 0.0045944885 0.026982354 0.0038733957 0.002777312 0.0036757041 0.010851513 0.0084271 0.004120935 0.005206256 0.019845631 0.0015719031 0.0014841032 0.0026827147 0.010949509 0.0025580954 0.007882173 0.015881602 0.018908152 0.0038343107 0.002748423 0.0039543984 0.007241517 0.007165612 0.0036394512 0.0062666535 0.0132561 0.0010303754 0.0014019676 0.0022204902 0.006989446 0.002793739 0.006373713 0.011943631 0.036821052 0.03631011 0.036181528 0.03638375 0.0364285 0.03620192 0.03605351 0.035949282 0.03611242 0.036663577 0.036030285 0.03628462 0.03612205 0.036176994 0.03608863 0.03623817 3552.0 8.12866 28873.0 0.024867523 0.005195165 0.005887854 0.005576144 0.009524469 0.005437606 0.005437606 0.007377134 0.0068229833 0.005991757 0.005887854 0.0057146815 0.007827382 0.006061026 0.009697641 0.005125896 0.012122052 0.009974717 0.010944481 0.010632771 0.012953279 0.012745472 0.010875212 0.011256191 0.012087418 0.012191321 0.010909847 0.010113254 0.012503031 0.010944481 0.010217158 0.011290825 0.01288401 0.009801544 0.005195165 0.009801544 0.00883178 0.007446403 0.0075503066 0.0071000587 0.007446403 0.0076542096 0.0061649294 0.0054029715 0.007827382 0.0069961557 0.007584941 0.0064073703 0.013126451 0.0069961557 0.00703079 0.010667405 0.009489835 0.0061995634 0.0094552 0.010009351 0.008416167 0.0056454125 0.005680047 0.006234198 0.006961521 0.0063381013 0.0064073703 0.010632771 0.008623974 0.0241402 0.00976691 0.017559659 0.017559659 0.040037405 0.009039587 0.007584941 0.010805943 0.020676756 0.007134693 0.005887854 0.020849928 0.011844976 0.020815294 0.02632217 0.013091816 0.0054029715 0.027846085 0.020849928 0.033456862 0.012953279 0.0080005545 0.0067537148 0.00914349 0.009489835 0.006303467 0.0054029715 0.0073078657 0.0057146815 0.006130295 0.005922488 6.3843265 0.0 0.0 0.0 12.0 884224.0 905216.0 1.0 0.0 110.0 1.0 1.0 0.0 1.0 0.0 1540020400.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 214528.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 651776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -214528.0 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 -6.6224093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3666286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6555188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527435 0.0 5.0013003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 651602.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -214177.0 0.0 792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 870196.0 792.0 888832.0 0.0 0.0 0.0 0.0 11284.0 892928.0 28.0 278368.0 0.0 0.0 0.0 0.0 24.0 278560.0 64.0 278400.0 0.0 0.0 452.0 221184.0 0.0 0.0 0.0 0.0


Input: 0.10917874 0.0044443742 0.008368663 0.0030574775 0.0033963216 0.0027265134 0.0027343936 0.0031441585 0.0029786765 0.0032071993 0.00244283 0.0027501537 0.002694993 0.0025216308 0.0026713526 0.003018077 0.003356921 0.0028210746 0.002781674 0.003033837 0.0031993191 0.0031677987 0.0029944365 0.0031599186 0.0031283982 0.002868355 0.0030023167 0.0032150794 0.002781674 0.0034987628 0.0029707963 0.0035539235 0.00489354 0.0049408204 0.004310413 0.0035460433 0.0034830025 0.003341161 0.0033648012 0.0028841153 0.0030023167 0.0028919955 0.002545271 0.008305621 0.0031677987 0.003995209 0.0032623599 0.0032308395 0.0050511416 0.005256024 0.0051220628 0.005453027 0.0060755545 0.004278892 0.004302533 0.004176451 0.0038848876 0.0039006476 0.0038927677 0.004192211 0.0042158514 0.0042631323 0.0037824463 0.0041291704 0.005319065 0.005815511 0.0051063024 0.004672897 0.0058312714 0.004326173 0.0045940964 0.005453027 0.0039794487 0.0044364943 0.0041528107 0.0040346095 0.004160691 0.00408189 0.0040346095 0.003672125 0.0040109693 0.003018077 0.0029865566 0.0033884414 0.003356921 0.0029156357 0.0036090843 0.008400183 0.0031599186 0.0029077556 0.0029156357 0.0031441585 0.008132259 0.0029156357 0.0029235159 0.003033837 0.002947156 0.008865109 0.008092859 0.0033332808 0.003522403 0.0094797565 0.0032308395 0.0032623599 0.0032308395 0.003356921 0.00816378 0.002947156 0.0037351658 0.0025846716 0.003018077 0.003680005 0.0029865566 0.0028919955 0.00410553 0.0036878851 0.0035302832 0.0031283982 0.0028762352 0.0028998754 0.0027422735 0.0026713526 0.0025137507 0.0024822303 0.0025216308 0.008415943 0.0033648012 0.003845487 0.0028998754 0.003088998 0.0027501537 0.0030574775 0.0027501537 0.0032544797 0.0076515735 0.0027580338 0.0029786765 0.0027501537 0.0026634727 0.003829727 0.0023246284 0.0029865566 0.00244283 0.002600432 0.0024979906 0.002529511 0.0026713526 0.0025216308 0.0026240721 0.002687113 0.0025610314 0.002781674 0.002379789 0.0026713526 0.0026634727 0.0026477124 0.0024034295 0.0025058708 0.007769775 0.002529511 0.0077303746 0.0024664702 0.0024270697 0.0026398322 0.0024822303 0.0021512664 0.0022300673 0.0021039858 0.0024191895 0.0026792327 0.0027265134 0.0075333724 0.0026083118 0.002277348 0.0024349499 0.0030495974 0.003018077 0.0024743504 0.0027265134 0.002694993 0.0025689115 0.0026319523 0.007683094 0.0025925518 0.0025531512 0.0025137507 0.0022458276 0.008061338 0.0028998754 0.00245859 0.0029786765 0.0025610314 0.0029235159 0.0026083118 0.002939276 0.0075570126 0.0026240721 0.0025137507 0.0024743504 0.00245071 0.0026083118 0.0025689115 0.002379789 0.002600432 0.002852595 0.0022379474 0.0022694678 0.002600432 0.002852595 0.0024979906 0.0032071993 0.0025373911 0.0026477124 0.0023955493 0.0025216308 0.007178768 0.0026398322 0.0028762352 0.0023955493 0.002687113 0.0028131944 0.008281982 0.0034199618 0.002868355 0.0030101968 0.002545271 0.002868355 0.0024822303 0.002868355 0.0027974343 0.002687113 0.0024979906 0.0033254006 0.0027895542 0.0039006476 0.0027186333 0.0030023167 0.0027265134 0.0025925518 0.0026634727 0.0026083118 0.007832816 0.0027737939 0.00244283 0.002852595 0.0025846716 0.002687113 0.0028762352 0.0030495974 0.00245071 0.0024113096 0.0026319523 0.0027107531 0.00245071 0.0025689115 0.005090542 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1806.0 6.3981175 11555.0 0.012115967 0.018866291 0.0051060147 0.0032886197 0.0047598444 0.004327131 0.0037213326 0.0044136737 0.0036347902 0.0034617048 0.0027693638 0.049762007 0.0036347902 0.004846387 0.0040675034 0.0038078753 0.01618347 0.016443098 0.017395068 0.01912592 0.017221982 0.009346603 0.011942882 0.009000433 0.008740805 0.00891389 0.011163998 0.009173518 0.00926006 0.010212029 0.010385115 0.011510169 0.011250541 0.017395068 0.010212029 0.014019905 0.01713544 0.010990913 0.012289052 0.021808742 0.010644742 0.012894851 0.008654262 0.011596711 0.010817828 0.011163998 0.012462137 0.009779316 0.013067936 0.0039809607 0.004586759 0.0069234096 0.0039809607 0.0030289919 0.0053656427 0.050021637 0.0058848984 0.0044136737 0.0038078753 0.0046733017 0.047425356 0.0047598444 0.004586759 0.005019472 0.0039809607 0.008740805 0.0049329293 0.0074426653 0.008308092 0.017048897 0.005019472 0.005711813 0.005971441 0.010125487 0.046992645 0.004846387 0.011769797 0.0057983557 0.007875378 0.010471657 0.0045002163 0.004586759 0.012462137 0.007961921 0.012289052 0.005019472 0.0040675034 0.0051060147 0.0038078753 0.0046733017 0.0027693638 0.0023366509 0.0034617048 0.046992645 0.0040675034 0.0076157507 6.137005 0.0 0.0 0.0 4.0 126902.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 -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 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.045157354 0.0052612033 0.0047815833 0.0042397105 0.0042591984 0.0035841577 0.0031711215 0.0035511365 0.0037893225 0.0030774712 0.0029784073 0.003743309 0.003692424 0.0034049768 0.0034488246 0.0045314883 0.0038992127 0.002943762 0.0027775732 0.0032052253 0.003446118 0.0031353936 0.003531107 0.0037812022 0.0033946915 0.003283177 0.0030146765 0.003702168 0.003518115 0.003600939 0.0043820804 0.0040800176 0.004018847 0.0029556714 0.0026942082 0.0031467616 0.0057235006 0.0030552766 0.0027905651 0.0036404561 0.0031299803 0.003033623 0.0026471124 0.0033925262 0.003196564 0.0034867178 0.0034997098 0.00389001 0.003382241 0.0032967106 0.0031927747 0.0044925124 0.0030834258 0.0032138866 0.003183572 0.0037395197 0.003700544 0.003522987 0.003972834 0.0040453724 0.004193156 0.003903002 0.004136857 0.0044470406 0.0029258982 0.0031657082 0.003057442 0.004891474 0.0039181593 0.0036474934 0.003534355 0.0037898638 0.0030888391 0.0029913993 0.0028793437 0.0033059132 0.0036913413 0.003505123 0.0037276105 0.003899754 0.004051327 0.0032371639 0.00318682 0.0036296295 0.0031613775 0.0031608362 0.003534355 0.0040080203 0.0035013338 0.0032885903 0.0031500096 0.0038272156 0.003935482 0.0037454744 0.0048665726 0.0047442317 0.0029524234 0.003425006 0.0030677272 0.0037817436 0.0035408512 0.0037817436 0.0033492197 0.0037157012 0.0035987736 0.0037119118 0.0032918383 0.0035072884 0.0033968568 0.0032198413 0.0037606317 0.0043869526 0.0037162425 0.0037974424 0.0037281518 0.004173668 0.0051442757 0.0054127765 0.0033887369 0.003814765 0.00419478 0.0039901566 0.0036523654 0.0037503464 0.0044567846 0.004116828 0.0045471867 0.0043577207 0.0031505509 0.003330273 0.002817632 0.0052438807 0.003912205 0.0043425635 0.0032025187 0.0035884883 0.0030931698 0.0048681963 0.004974839 0.008854022 0.0035045817 0.0045401496 0.0037048745 0.003941978 0.0056720744 0.0029210262 0.0028679757 0.0033291904 0.0033032065 0.002943762 0.0031494682 0.0035625044 0.003119695 0.0030709752 0.002953506 0.003266937 0.0036182615 0.0036133896 0.004022095 0.0043301126 0.0028614798 0.0031992707 0.0029367248 0.0033600463 0.0030731405 0.0031462202 0.003096959 0.0036085176 0.0029421381 0.0029881513 0.0028414505 0.0032728917 0.0032858837 0.0031987294 0.0036502 0.0039100396 0.0031814068 0.003214428 0.0029854446 0.003291297 0.003455862 0.0031272736 0.0030357884 0.0036902586 0.0042510782 0.003770917 0.003463982 0.003369249 0.00395497 0.0036193442 0.004356638 0.0043100836 0.0051128785 0.0036707707 0.004140105 0.004338774 0.003748181 0.0035901123 0.004373419 0.0049981163 0.0033221531 0.0039917803 0.003615555 0.003610683 0.004028591 0.0033151158 0.0038873034 0.0045910347 0.0034222994 0.0034704779 0.0033957742 0.0041530975 0.0030677272 0.0033313558 0.0035062057 0.0039430605 0.0036079763 0.0032577345 0.00345099 0.0033811582 0.0040735216 0.0034634406 0.003753053 0.004433507 0.0038255916 0.003920866 0.003809893 0.004488182 0.0036372081 0.0035056644 0.0036805146 0.004490888 0.0051670116 0.00417042 0.0033860302 0.004650581 0.0035403098 0.0036263815 0.0037898638 0.0041357744 0.0041953214 0.004500091 0.0038873034 0.0045092935 0.00389001 0.0039479327 0.0038564475 0.004379374 0.0046213493 0.0044123954 0.0040870546 0.004283017 0.004751269 0.0043008807 0.0046170186 0.008672135 0.002773156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053621567 2.70816e-07 5.41632e-07 1.35408e-06 2.70816e-06 8.12448e-07 1.0561824e-05 2.166528e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006234726 6.499584e-06 0.00018063428 7.312032e-06 1.2457536e-05 9.47856e-06 1.3811616e-05 8.395296e-06 8.422378e-05 8.2057246e-05 9.695213e-05 8.6931934e-05 0.0002727117 8.9910915e-05 1.083264e-05 1.3269984e-05 0.0064456915 0.0 5.145504e-05 0.0 0.0 0.0 0.0 0.0 0.00019146691 0.00014624064 0.00017792611 0.00016194797 0.00039322482 0.000114284354 8.259888e-05 0.0 0.00088583917 1.6790593e-05 3.114384e-05 1.0020192e-05 2.3290177e-05 7.853664e-06 2.4644256e-05 1.4082432e-05 1.5165696e-05 7.853664e-06 1.3269984e-05 1.1103456e-05 2.978976e-05 4.333056e-06 1.35408e-06 1.2728352e-05 0.002825965 4.5497087e-05 4.73928e-05 2.7894048e-05 0.00037670505 5.4704833e-05 1.6790593e-05 5.7683807e-05 2.1123647e-05 5.010096e-05 3.1414656e-05 2.6539969e-05 2.3831808e-05 1.895712e-05 3.601853e-05 0.0002217983 0.0040449076 0.00020690342 0.00018388407 4.9830145e-05 0.000314959 8.395296e-05 0.00035639387 0.0001744055 4.2518113e-05 8.720275e-05 4.6309535e-05 4.6851168e-05 6.174605e-05 3.8185055e-05 3.9539136e-05 0.0003233543 0.0014429076 2.0582016e-05 0.00024969236 0.00041218195 7.7995006e-05 5.687136e-05 0.001012581 0.00044061764 2.8977312e-05 1.2457536e-05 5.145504e-06 9.47856e-06 1.2457536e-05 5.687136e-06 2.2748543e-05 7.203706e-05 0.0015271314 2.8977312e-05 0.00026458723 0.00018496733 0.00023913053 0.00011374272 0.00078374153 0.00039349566 4.2518113e-05 3.0060575e-05 3.2768738e-05 3.5476896e-05 4.793443e-05 2.843568e-05 5.226749e-05 7.718256e-05 0.0020143294 0.00016276042 0.00035774795 0.00025294215 0.00025077563 0.00015951063 0.0004552417 0.00029139803 2.9248127e-05 3.168547e-05 0.00010101437 8.666112e-05 6.5808286e-05 6.228768e-05 5.3892385e-05 6.174605e-05 0.0026407267 0.00016573939 0.00041136952 0.00023073523 0.00036424753 0.00030250146 0.0008013445 0.00046661598 0.00011888822 9.207744e-05 0.00014434493 0.0001776553 0.00023669319 0.00014001188 0.00016357287 0.00019904975 0.003224877 0.0005974201 0.00066377 0.00046282454 0.0005565269 0.00067947735 0.00031956288 0.0005467775 0.0018215084 0.00020663261 0.00013811616 0.00032227105 0.0014104097 0.0005603183 0.0005196959 0.0007263285 0.009889659 0.002321164 0.0016652476 0.0016630811 0.002521297 0.0031685473 0.0009191495 0.0021066777 0.007466939 0.0013310607 0.00037860076 0.0009822496 0.003947685 0.0014854257 0.0016305832 0.0023384963 0.0119524645 0.002518589 0.0029104596 0.002298957 0.0041984604 0.004436508 0.0020573891 0.0025199428 0.008093607 0.0024294904 0.0007796793 0.0009882076 0.004019451 0.001271752 0.0025218385 0.004130215 0.046033032 0.04962324 0.047301535 0.053918924 0.047092464 0.04987185 0.04968661 0.05922448 0.04914904 0.05126547 0.049451545 0.054171324 0.05383849 0.053922717 0.058724012 0.064772956 7738.0 6.989661 54086.0 0.019616906 0.006822468 0.006637577 0.006693044 0.00937396 0.0067854896 0.0063972194 0.008024258 0.0077284323 0.008227637 0.007118293 0.0077284323 0.007950301 0.015401398 0.0110379765 0.009355471 0.01175905 0.011000998 0.010520282 0.008357061 0.009189069 0.009706764 0.008394039 0.009244536 0.011093444 0.010002589 0.008615908 0.0089672 0.0085604405 0.008061236 0.009484895 0.009392449 0.0076359874 0.009466405 0.0076359874 0.008874755 0.008227637 0.0072292276 0.009947121 0.009004178 0.007340162 0.0074510965 0.0068039787 0.0076174983 0.010298413 0.007839367 0.009281514 0.008431017 0.01055726 0.0069888695 0.008301593 0.011611138 0.008079725 0.008320083 0.008357061 0.0089672 0.012017897 0.0072292276 0.008652886 0.008412528 0.008893244 0.00857893 0.009300004 0.012128832 0.006508154 0.018673964 0.010631217 0.019265614 0.015586289 0.028953888 0.011537181 0.01135229 0.010076545 0.02451651 0.007968791 0.0089117335 0.015087084 0.012480124 0.019228635 0.021761639 0.014070185 0.008264615 0.020837186 0.018489072 0.021854084 0.01216581 0.0081167035 0.009558851 0.009632807 0.009263026 0.006896424 0.0072292276 0.007876345 0.00837555 0.009336982 0.008763821 6.4847717 0.0 0.0 0.0 33.0 1847296.0 2019328.0 0.0 0.0 121.0 0.0 1.0 0.0 0.0 0.0 1063822500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 204800.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -204800.0 0.0 1536000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.063845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6376667 0.0 7.985257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20562.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -246248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -201973.0 0.0 1535680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 226648.0 3144.0 483328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 504.0 208896.0 0.0 0.0 0.0 0.0


Input: 0.05674789 0.00830591 0.0061814794 0.005650631 0.005753276 0.004965298 0.004198056 0.005423569 0.0050461693 0.005631969 0.0037522265 0.004466591 0.0049507823 0.00318509 0.0043318053 0.004642849 0.0050503165 0.0037688157 0.00493212 0.0041513997 0.004359799 0.003177832 0.004106817 0.0038393189 0.0050752 0.003349943 0.0031643535 0.0029279601 0.0041472525 0.0034380723 0.0037874782 0.0037968096 0.006173185 0.0038133985 0.0034909497 0.00302231 0.0048896107 0.004172136 0.0038424293 0.0037242325 0.0047340887 0.0038911595 0.0033375013 0.0030928135 0.0043691304 0.0037159382 0.0037242325 0.003584263 0.005518956 0.0039533684 0.0031021447 0.0028989294 0.00368276 0.003078298 0.00269053 0.002862641 0.004178357 0.0033146914 0.0035282748 0.0033530535 0.0040020985 0.0032213782 0.003505465 0.0034567348 0.006596205 0.0039627 0.0036267722 0.0032255256 0.0041513997 0.0032193046 0.0035427904 0.0030658564 0.004997439 0.0037760732 0.00370557 0.00358841 0.0041317004 0.0031270282 0.003550048 0.0034660662 0.00516644 0.0036236618 0.0036547661 0.003334391 0.0039243377 0.0033810474 0.0033623849 0.0035407166 0.0046532173 0.0036485454 0.0038092514 0.0035127227 0.0041005956 0.0033883052 0.0036962386 0.0037854046 0.005911908 0.0036309194 0.0033426853 0.0029486965 0.0040135034 0.0030513408 0.0032638875 0.0030306047 0.004969445 0.003167464 0.0032037525 0.0030482304 0.003589447 0.002840868 0.0030907397 0.0031933843 0.004508063 0.0032846238 0.0032244886 0.0031363596 0.0038849385 0.0033333541 0.0032846238 0.0036246986 0.004625223 0.003288771 0.0034774712 0.0031653903 0.00403735 0.0031996053 0.0034691766 0.0033406117 0.008651168 0.004599303 0.0040093563 0.0035251644 0.0043774247 0.003439109 0.0030243837 0.003394526 0.0045360574 0.0038248035 0.0029580276 0.0031933843 0.0037231958 0.0027962849 0.0028450151 0.002983948 0.005242127 0.0032047892 0.0034868023 0.00302231 0.0036589133 0.0031819793 0.0033022496 0.0032555931 0.0045464253 0.002839831 0.003038899 0.002706082 0.00351687 0.0032327832 0.0029870586 0.0031477646 0.00500366 0.0034017838 0.003268035 0.0027911009 0.0037760732 0.0030191997 0.003056525 0.0031861267 0.0041358476 0.0029922426 0.00311666 0.003010905 0.0036423244 0.002834647 0.0029113712 0.0030347519 0.004670843 0.00311666 0.0038507238 0.0028636777 0.0035635266 0.003150875 0.0029912058 0.0031239178 0.0042447126 0.003144654 0.0033323173 0.0031685007 0.0036464715 0.0031799057 0.0033209124 0.0033592745 0.0067206225 0.0040622335 0.00372838 0.003338538 0.0041120006 0.003261814 0.0033043234 0.0032255256 0.0043349154 0.00332817 0.0031197707 0.0030700036 0.0036381772 0.002983948 0.0030710404 0.002795248 0.00424886 0.0032711453 0.0030855557 0.0029974265 0.0037117908 0.0030160893 0.0029362547 0.002940402 0.003977215 0.003111476 0.002728892 0.002639726 0.0035303487 0.0029528437 0.0035790787 0.0028823405 0.0049507823 0.003240041 0.0033872684 0.00297358 0.0038133985 0.0030720772 0.0031996053 0.0028989294 0.0044417074 0.0054515633 0.0034743606 0.0031363596 0.0037874782 0.00306793 0.0032441881 0.0031819793 0.0046127816 0.0033219492 0.0034204463 0.003050304 0.0037574107 0.003089703 0.0033012128 0.0032421146 0.0043504676 0.003029568 0.0031861267 0.002862641 0.004019724 0.0030969607 0.0042229397 0.004520505 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.004591402 0.0002934882 0.00027167136 0.00027115192 0.00030024102 0.00024102394 0.0003324468 0.00030803276 0.00033192735 0.0003516664 0.00032881068 0.00035218583 0.00052204536 0.00015375664 0.0001844041 0.0007402136 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09925875 0.062004447 0.062459484 0.055321746 0.060610246 0.059565637 0.054964885 0.05445167 0.06047571 0.053156167 0.052093897 0.052938 0.056408953 0.050521005 0.056620367 0.05382989 4021.0 5.7050486 22940.0 0.017088056 0.010462075 0.009372275 0.008631212 0.0133827375 0.012510898 0.011813426 0.011639059 0.0125980815 0.009764603 0.008456844 0.008631212 0.013905841 0.010505667 0.011769834 0.00989538 0.016782911 0.01190061 0.008674804 0.0075414125 0.009808196 0.008456844 0.007846557 0.008326068 0.010244115 0.008413252 0.009546643 0.0088055795 0.011595466 0.00902354 0.009721011 0.0091979075 0.01809067 0.010941586 0.010331299 0.009067131 0.010810811 0.008936356 0.010723627 0.008326068 0.014254577 0.011639059 0.009764603 0.008979947 0.011421098 0.009372275 0.011639059 0.009590236 0.014777681 0.009590236 0.009938971 0.008979947 0.012031387 0.009415868 0.009546643 0.009764603 0.013818657 0.009328684 0.010549259 0.009633827 0.011115954 0.009851787 0.010418483 0.010680035 0.017916303 0.010985179 0.009677419 0.0081517 0.013077593 0.008238884 0.009372275 0.008326068 0.015431561 0.009285091 0.008892763 0.008674804 0.011377507 0.007977332 0.009938971 0.007890148 0.013164777 0.0079337405 0.008674804 0.008718396 0.011508282 0.009415868 0.008238884 0.007846557 0.010941586 0.008936356 0.011944203 0.008631212 0.0113339145 0.009154316 0.009982564 0.008718396 6.5545044 0.0 0.0 0.0 14.0 964494.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.30063415 0.009889838 0.0043296525 0.003118652 0.003652534 0.003489765 0.0030795876 0.0016341998 0.0027605605 0.0015756029 0.0012956404 0.0009961457 0.0018425438 0.002265743 0.00078780146 0.0036720661 0.0025391947 0.00335955 0.0006315433 0.0010482317 0.00087895204 0.0029103078 0.00065107556 0.0005729465 0.0013412157 0.0009049951 0.00089197356 0.0005403927 0.0008333767 0.000852909 0.0006250326 0.0012565758 0.010651597 0.00071618316 0.001386791 0.00061201106 0.0052606906 0.0016146675 0.00039064535 0.00050783897 0.002083442 0.00082686596 0.00087895204 0.0010221887 0.00065107556 0.0011849576 0.0020704204 0.0010091672 0.007012084 0.0011589145 0.00146492 0.0028972863 0.0010547425 0.00049481745 0.0006185218 0.00037762383 0.0012956404 0.0008854628 0.0009831241 0.0008724413 0.0008659305 0.0019076514 0.0004687744 0.00042319912 0.0027540496 0.0036981092 0.0012175114 0.0025196625 0.0051825615 0.0025912807 0.0013281942 0.0007096724 0.017077712 0.0025912807 0.000585968 0.00061201106 0.0029363509 0.0020443774 0.0011914683 0.0021680817 0.0025652377 0.0007487369 0.0019662483 0.001920673 0.0014453877 0.0013542372 0.0010352102 0.0011914683 0.00095057033 0.0005143497 0.0006966509 0.001041721 0.001972759 0.00052737124 0.0006315433 0.001490963 0.0015886244 0.004987239 0.0013802802 0.0037501953 0.0027670711 0.009531747 0.0028907754 0.0021485493 0.0016602427 0.0058466587 0.0009831241 0.0008724413 0.0037957707 0.0023308506 0.0057034222 0.0044077816 0.0030209906 0.00035158082 0.005071879 0.0043752277 0.0075264336 0.0032944423 0.0011068285 0.0020639095 0.0015886244 0.0016927965 0.00071618316 0.0005208605 0.00065107556 0.00045575292 0.00075524766 0.00042319912 0.041740455 0.0011654253 0.00091150583 0.003841346 0.0013281942 0.0028191572 0.00091150583 0.00040366687 0.00063805404 0.004713787 0.0005924788 0.007910568 0.00085941976 0.004661701 0.00037762383 0.00032553778 0.0009375488 0.0003971561 0.00037762383 0.0004427314 0.00054690347 0.00039064535 0.0003646023 0.00040366687 0.0006250326 0.00032553778 0.00026043024 0.00032553778 0.000585968 0.00035158082 0.00037111307 0.00040366687 0.0010872962 0.00040366687 0.0005013282 0.00067060784 0.0005534142 0.0003841346 0.000292984 0.0005534142 0.0008203552 0.00050783897 0.0019271837 0.00049481745 0.00061201106 0.0014388771 0.0003646023 0.00054690347 0.0008659305 0.00044924216 0.00042970988 0.0004101776 0.0004687744 0.0009961457 0.00077477994 0.00091150583 0.0011133392 0.001171936 0.0008333767 0.0005013282 0.00047528517 0.00032553778 0.00046226365 0.00056643574 0.012695974 0.0011393822 0.00041668836 0.0021550602 0.0016927965 0.00031902702 0.0007617584 0.0015951352 0.0022071463 0.0013151726 0.0005143497 0.00054690347 0.006862337 0.000559925 0.0019011407 0.0010221887 0.0013477264 0.0010482317 0.0012761081 0.00057945726 0.00045575292 0.00056643574 0.00057945726 0.0005729465 0.0010938069 0.0007682692 0.0005534142 0.00059898954 0.000585968 0.0004883067 0.00040366687 0.00033204854 0.0009831241 0.0007096724 0.0006575863 0.00077477994 0.0006055003 0.0014518985 0.00052737124 0.00047528517 0.0023764258 0.0012240221 0.0005013282 0.0008203552 0.0013998125 0.0003125163 0.00046226365 0.00043622064 0.0010547425 0.00041668836 0.0005924788 0.0010286995 0.0003646023 0.0006771186 0.0007357154 0.00063805404 0.0009570811 0.0007812907 0.00046226365 0.00040366687 0.00046226365 0.00037762383 0.00089197356 0.251224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006275074 5.608636e-05 1.9795185e-05 3.2991975e-05 3.2991975e-05 2.969278e-05 2.6393582e-05 3.2991975e-05 8.577914e-05 1.3196791e-05 4.288957e-05 2.3094384e-05 2.3094384e-05 1.9795185e-05 1.6495987e-05 2.6393582e-05 0.006007839 2.6393582e-05 5.938556e-05 9.8975925e-06 8.9078334e-05 3.6291174e-05 0.00023094383 0.000115471914 2.969278e-05 6.5983954e-06 3.2991975e-05 2.6393582e-05 6.5983954e-06 2.6393582e-05 2.3094384e-05 2.969278e-05 0.0055162585 6.5983954e-06 7.5881544e-05 4.618877e-05 0.00024084143 8.247994e-05 0.00035961255 0.00024743984 4.9487964e-05 6.5983954e-06 1.6495987e-05 9.8975925e-06 4.288957e-05 1.6495987e-05 9.8975925e-06 2.969278e-05 0.07476642 0.0002738334 0.00035961255 6.928315e-05 0.0001319679 9.567673e-05 0.00031012457 0.0001319679 0.030926678 4.618877e-05 0.00018145586 4.9487964e-05 0.0069217165 4.288957e-05 3.959037e-05 0.1829504 0.02401816 0.00017485747 0.00035631334 0.00015506228 0.00061035156 0.00034641576 0.0020092113 0.0012866871 0.0037808805 9.567673e-05 0.000102275124 0.000102275124 0.001402159 0.0004222973 6.2684754e-05 0.019128747 0.03779231 0.00081160263 0.0021444785 0.0011283256 0.001969621 0.0010623416 0.007080078 0.0032662055 0.0024908942 0.00020784946 0.00017485747 0.00012207031 0.00061035156 0.00030352618 0.0005311708 0.014628642 0.04383314 0.00046848608 0.003978832 0.00083139783 0.002857105 0.0012569943 0.012698611 0.0052028345 0.0025568781 0.00019795186 0.00016825908 0.0001385663 0.00034971494 0.00010887352 0.000583958 0.019362992 0.040890254 0.0015539221 0.0025502797 0.0014945365 0.0032167176 0.0024084144 0.0102737015 0.0049356 0.001702386 0.00038930532 0.00061035156 0.00048168286 0.0008215002 0.0006334459 0.0008544922 0.00826449 0.019174937 0.0008907834 0.0018574483 0.0012207031 0.0015242293 0.0015044342 0.0051995353 0.0031738281 0.000818201 0.000300227 0.000600454 0.00031342378 0.0008709882 0.00079840585 0.0010293496 0.0012635927 0.013209987 0.00064004434 0.0016924884 0.0021807696 0.0016232053 0.0012734903 0.0035334406 0.0018376531 0.0012273015 0.00038930532 0.00061035156 0.00033651816 0.0006664379 0.0002804318 0.00032662056 0.003955738 0.016416807 0.001821157 0.0016759924 0.0023325328 0.0058791703 0.0016825908 0.0022665488 0.0015176309 0.0051038587 0.000583958 0.0006532411 0.0010986328 0.0022632496 0.0009567673 0.0010491449 0.0019960145 0.03975863 0.006245381 0.010042758 0.0062222867 0.024061048 0.0056482265 0.004569389 0.0057043126 0.02034945 0.0013955606 0.0014054582 0.0032563081 0.016228754 0.003203521 0.005239126 0.008831952 0.0071295663 0.002151077 0.0024710991 0.0030154667 0.0017749683 0.0017749683 0.0034839527 0.0025997676 0.0017551731 0.00087758654 0.0014912373 0.0010524441 0.0011547192 0.0010425465 0.00090398017 0.0011052312 0.010900549 0.004239469 0.003055057 0.0033453864 0.005110457 0.0025766734 0.0019663218 0.0030847497 0.00275483 0.0022005648 0.004790435 0.0035499367 0.004424224 0.003253009 0.0029395851 0.002619563 425.0 13.882353 5900.0 0.02101695 0.0005084746 0.0059322035 0.0005084746 0.014067797 0.0006779661 0.0011864407 0.0015254237 0.0025423728 0.0015254237 0.00016949153 0.0015254237 0.0006779661 0.01 0.024745762 0.012881356 0.040847458 0.012542373 0.0066101695 0.0077966102 0.0022033898 0.0030508474 0.0020338984 0.0015254237 0.0030508474 0.003559322 0.0052542374 0.0010169492 0.0044067795 0.0038983051 0.0028813558 0.0025423728 0.0069491523 0.020508474 0.0016949152 0.017288135 0.014915254 0.008474576 0.0037288135 0.0040677967 0.007118644 0.009830508 0.0 0.0016949152 0.007966102 0.0045762714 0.0023728814 0.0025423728 0.0038983051 0.0011864407 0.008305085 0.011525423 0.009661017 0.0052542374 0.0069491523 0.011016949 0.003220339 0.0020338984 0.0040677967 0.0027118644 0.0037288135 0.0016949152 0.0022033898 0.015932204 0.0023728814 0.035932202 0.007627119 0.035084747 0.021694915 0.06542373 0.0062711863 0.017288135 0.010169491 0.04423729 0.0015254237 0.0037288135 0.029661017 0.021525424 0.036440678 0.03457627 0.016779661 0.0013559322 0.041016947 0.035084747 0.06 0.014915254 0.005423729 0.013559322 0.010169491 0.009152543 0.0040677967 0.0005084746 0.0006779661 0.0006779661 0.0022033898 0.0010169492 5.7172837 1.0 21.0 0.0 4.0 153592.0 176128.0 1.0 4.0 115.0 1.0 1.0 1.0 0.0 0.0 1534569600.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 28672.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 82432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.639941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8475122 0.0 0.0 0.0 0.0 4.5131483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7093493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.702506 0.0 2.6899116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27198.0 0.0 0.0 0.0 0.0 2064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28668.0 0.0 82072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 56320.0 260.0 56492.0 82072.0 86016.0 2064.0 77824.0 7160.0 146432.0 168.0 172032.0 84.0 50416.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 50512.0 0.0 0.0 1040.0 32768.0 0.0 0.0 0.0 0.0