Input: 0.016151648 0.004169818 0.00437495 0.0040616537 0.004029065 0.003980081 0.0038379282 0.0039480915 0.003949291 0.0038723168 0.004471518 0.003904506 0.0039085047 0.0038191343 0.0038407273 0.003898908 0.004752425 0.0037577546 0.003811137 0.0038399275 0.0038451257 0.0038913104 0.0037733496 0.0037615534 0.0038181348 0.003792943 0.0038435264 0.0037725498 0.0037471582 0.0037403605 0.00374136 0.003708771 0.0039360956 0.0036865782 0.003787145 0.003720167 0.0038225332 0.003799341 0.0037455587 0.0037757487 0.0037463584 0.0037343625 0.003739161 0.003732563 0.003814536 0.003747558 0.003759954 0.003756555 0.0038007405 0.0037885446 0.003765752 0.0039205006 0.0037835462 0.0037861452 0.0037901439 0.0037269648 0.0038031396 0.0037923432 0.0038239327 0.0037649523 0.003702773 0.003814136 0.0037849457 0.003750557 0.0042589884 0.0040940433 0.0037951423 0.0038129364 0.0038345293 0.0040636533 0.003774749 0.0037485578 0.00383253 0.0037935427 0.0037937427 0.0037405603 0.0038361286 0.0038579216 0.0038069384 0.0037685512 0.0039964756 0.003774349 0.003829331 0.003889111 0.0038243327 0.0039424933 0.0038853125 0.0038391277 0.0037921432 0.003917502 0.0037519566 0.0038469252 0.0038137361 0.003834929 0.0038093375 0.003795542 0.0037761487 0.0039394945 0.003750757 0.0037785477 0.00395349 0.0039003075 0.0038669186 0.0037661518 0.0038513236 0.0038611204 0.0038013402 0.0037129696 0.0037963418 0.003810737 0.0038725166 0.0038983081 0.0038843127 0.003754156 0.0038981081 0.003847125 0.0040378617 0.003946692 0.00383213 0.0038567218 0.003877315 0.003789744 0.0037881446 0.0038781147 0.003871717 0.0039276984 0.0038279314 0.0038639195 0.0045800824 0.0038327298 0.003744759 0.004034863 0.003829531 0.0039235 0.0037847457 0.0038065384 0.0038163352 0.004001274 0.0038131364 0.0046004755 0.0037433594 0.003992877 0.003774349 0.003762753 0.0039628865 0.0037577546 0.0037713503 0.003747758 0.0037607537 0.0037681512 0.0037763484 0.0037255653 0.003808138 0.00374136 0.0037435594 0.0037491575 0.0038427266 0.003726565 0.003723766 0.0037823466 0.0037773482 0.0037827464 0.0037705505 0.0037939427 0.003786945 0.0037047723 0.0038285311 0.0037429596 0.0037875448 0.003784346 0.0037313635 0.0038461254 0.003762553 0.0037983411 0.0038287311 0.0037411603 0.0038031396 0.0037723498 0.0038153357 0.0038457254 0.0038131364 0.0038719168 0.003920101 0.0039486913 0.0040074717 0.004067252 0.0038723168 0.003915902 0.003889311 0.004022067 0.0038451257 0.003990078 0.004137029 0.003871517 0.0038579216 0.004003473 0.0038923102 0.003814336 0.0038489245 0.0038851125 0.0038629198 0.0038785147 0.003777948 0.0037937427 0.0037317632 0.0037613534 0.0037551555 0.003783946 0.0038467252 0.0037481578 0.003793143 0.0037901439 0.003747558 0.0037965418 0.0037055719 0.0037923432 0.0038701175 0.003793143 0.0037937427 0.0038147357 0.0038125366 0.0037483578 0.0037885446 0.003768951 0.0038397275 0.0037663518 0.0037667516 0.0037763484 0.0038035396 0.0037481578 0.003784346 0.0038179348 0.0042463928 0.0038525232 0.0037679514 0.0038281314 0.003865119 0.0037633528 0.003739161 0.003789944 0.003986879 0.0037771482 0.0037463584 0.0037489575 0.0037641525 0.00374176 0.003786945 0.0037903439 0.003853723 0.0037651523 0.003744959 0.003745359 0.003942094 0.0038175348 0.0040752497 0.0077018477 0.00040808434 1.1999539e-06 2.9998847e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007744703 2.1899159e-05 1.7999308e-06 1.899927e-06 3.9998463e-07 0.0 0.0 1.9999231e-07 9.999616e-08 0.0 0.0 8.999655e-06 9.999616e-08 0.0 9.999616e-08 9.199647e-06 0.0005281797 2.8698898e-05 0.0 5.9997694e-07 0.0 0.0 0.0 7.9996926e-07 6.999731e-07 0.0 0.0 2.9098883e-05 4.999808e-07 0.0 2.9998847e-07 2.5499021e-05 0.0007708704 0.00016469367 5.699781e-06 5.8997734e-06 5.599785e-06 1.5999385e-06 1.7999308e-06 1.9999231e-06 2.3999078e-06 1.2999501e-06 2.6998964e-06 5.2497984e-05 2.499904e-06 1.1999539e-06 1.3999462e-06 1.7999308e-06 0.0022864123 0.00089886546 5.599785e-06 6.799739e-06 9.299642e-06 2.6998964e-06 1.5999385e-06 3.5998617e-06 0.00051528023 1.3999462e-06 1.5999385e-06 5.049806e-05 3.3998695e-06 3.5998617e-06 2.5999002e-06 9.779625e-05 0.00038558518 5.1998004e-06 5.399793e-06 2.3999078e-06 2.499904e-06 1.849929e-05 1.29995005e-05 8.499674e-06 8.129688e-05 2.1999156e-06 1.9999231e-07 6.979732e-05 5.099804e-06 1.3999462e-06 6.999731e-07 1.2599517e-05 0.0015551402 5.5097884e-05 2.7498943e-05 3.2298758e-05 9.189647e-05 1.4999424e-05 3.829853e-05 1.5399408e-05 6.8697365e-05 5.6597826e-05 9.999616e-06 0.00016609363 1.1899543e-05 1.1299566e-05 7.699704e-06 8.979655e-05 0.0007085728 1.7299335e-05 2.969886e-05 1.6199378e-05 4.2398373e-05 7.899696e-06 6.4997505e-05 4.4198303e-05 1.55994e-05 3.799854e-06 4.4998274e-06 0.00016819354 2.2599132e-05 2.8198918e-05 1.1499558e-05 4.3098345e-05 0.0009737626 2.4399063e-05 3.929849e-05 2.0699204e-05 0.00011639553 6.849737e-05 0.00026778973 0.00013359488 1.379947e-05 1.2599517e-05 1.7499327e-05 0.00043968312 5.259798e-05 4.609823e-05 2.3999078e-06 2.3599094e-05 0.00079816935 1.8299297e-05 9.789624e-05 2.6998963e-05 4.629822e-05 5.519788e-05 0.00011829546 8.32968e-05 5.9697708e-05 7.209723e-05 5.2098e-05 0.0003724857 0.000101696096 4.3598327e-05 5.4997886e-06 9.62963e-05 0.0012525519 9.579632e-05 3.939849e-05 7.269721e-05 0.00017999309 4.969809e-05 0.00018629285 0.00012439523 5.4797896e-05 3.409869e-05 0.000117295494 0.00023659092 0.00026728972 7.0997274e-05 0.00010699589 0.00018299297 0.0011276567 0.00012929503 3.589862e-05 4.3098345e-05 0.00010129611 0.000208392 0.000114895585 0.00020209224 0.00012819508 0.00011769548 0.00021519174 0.0005180801 0.00029358873 0.00014189455 9.529634e-05 0.0008280682 0.0010209607 0.00022159149 7.939695e-05 6.0297683e-05 0.00011259568 0.0002632899 0.00029228878 0.00035058655 0.00025289028 8.1896855e-05 7.8296995e-05 0.00010289605 0.00012669513 0.000104895975 0.00011239568 0.00083486794 0.0017574325 0.00018089305 0.00017309336 0.00031708783 0.00071227265 0.00053797936 0.00040728436 0.0006856737 0.0010285605 0.0002681897 0.0001506942 0.00026218992 0.00041518407 0.00025909004 0.0005306796 0.0015293413 0.0018860276 0.00029708858 0.00033978696 0.00045068268 0.0007755702 0.00075887085 0.00044108307 0.000599677 0.0014120458 0.00032278762 0.00024659053 0.00034508674 0.0006937734 0.0003982847 0.0007084728 0.001587739 0.0599102 0.05944362 0.05942692 0.059549414 0.059620712 0.059560414 0.059391618 0.05963051 0.05941282 0.05941802 0.059576213 0.059582613 0.059664708 0.059504814 0.05957401 0.05963121 22620.0 5.804421 131296.0 0.01207196 0.0098327445 0.010525835 0.009916524 0.010114551 0.009566171 0.009680416 0.010068852 0.010411589 0.010403973 0.010190714 0.009512857 0.010068852 0.010266878 0.009855594 0.009581404 0.0106705455 0.010046003 0.010289727 0.009916524 0.010038386 0.010312576 0.009969839 0.0100917015 0.00931483 0.009893675 0.009985072 0.009840361 0.009771814 0.010038386 0.010289727 0.010038386 0.010259261 0.010442055 0.010106934 0.010411589 0.010464904 0.010594382 0.0098327445 0.010350658 0.009512857 0.0103049595 0.009878443 0.010122167 0.0101374 0.010579149 0.009924141 0.01003077 0.010586766 0.010015537 0.0103049595 0.011005667 0.0105563 0.01038874 0.010761943 0.010457288 0.010167865 0.010205947 0.009291981 0.010487753 0.010213563 0.010084085 0.010122167 0.01038874 0.009657567 0.012330917 0.010122167 0.0106705455 0.010510602 0.014097916 0.010084085 0.010411589 0.010046003 0.011424568 0.009809895 0.009855594 0.011340788 0.0106705455 0.01257464 0.0123233 0.010716245 0.009627102 0.013138252 0.011241774 0.013016391 0.010929503 0.010502986 0.010579149 0.011112296 0.010381124 0.010647696 0.010038386 0.01003077 0.010403973 0.0104344385 0.010701012 6.580957 0.0 1.0 0.0 72.0 5001657.0 319488.0 0.0 0.0 135.0 0.0 1.0 0.0 1.0 0.0 1297255400.0 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 5.0 0.0 5.0 0.0 86016.0 1024.0 4096.0 8.0 2.0 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 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82944.0 -4096.0 183808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 -6.036669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7373605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.482909 -5.042266 6.3528023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22288.0 0.0 0.0 -3484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82928.0 -3998.0 183640.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 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 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 -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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3998.0 122880.0 183640.0 135168.0 0.0 0.0 3416.0 19313168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 131072.0 0.0 0.0 0.0 0.0 588.0 123728.0 0.0 0.0 0.0 0.0


Input: 0.20255725 0.0067709666 0.0043160664 0.0038562724 0.00636115 0.0031525877 0.002334954 0.0021190506 0.010203429 0.0017911976 0.0025168725 0.001359391 0.0045859455 0.002662807 0.0014333578 0.00651708 0.004667909 0.0011634787 0.0012194536 0.0011174993 0.0026248242 0.0019171411 0.0014913318 0.004673906 0.0059393393 0.002089064 0.0013533937 0.0013334026 0.001971117 0.0011194985 0.001149485 0.0015033265 0.0131860925 0.0013733847 0.0016832459 0.0016372665 0.0033405034 0.001379382 0.0016812468 0.0012934206 0.0023129638 0.0011934653 0.0012794269 0.0021190506 0.0018291805 0.001991108 0.0013893775 0.00070568384 0.0035104274 0.0017152316 0.0020810678 0.0044879895 0.0018751599 0.0013953749 0.0011614796 0.0012614349 0.0020570785 0.0019471276 0.00147334 0.0033265096 0.0018131877 0.0021710275 0.0015213185 0.0020051016 0.0034604496 0.0025548553 0.001779203 0.006219214 0.0058513787 0.006625032 0.0023749361 0.0013713856 0.0019571232 0.0017332236 0.0013234072 0.0011374904 0.0021530355 0.0034784416 0.0020610767 0.0012734295 0.008808054 0.0022469934 0.0020810678 0.0027647614 0.0029026996 0.0029746674 0.0034044748 0.0027127846 0.0013234072 0.0030946136 0.0008436221 0.0017772039 0.0012234519 0.0030706243 0.002296971 0.002067074 0.0047558695 0.0037943001 0.0011934653 0.002316962 0.0038622697 0.0057334313 0.003140593 0.0012534384 0.0030046538 0.0028027443 0.0036703558 0.0011414887 0.0023929279 0.0017072351 0.0029546763 0.0032485446 0.0023869306 0.0011354913 0.0038122921 0.003966223 0.008838041 0.008570161 0.0016052808 0.0013134116 0.007774517 0.0014333578 0.0050417413 0.00074366684 0.003890257 0.0021010588 0.001819185 0.0016572576 0.002908697 0.0020990595 0.0014033713 0.00794644 0.002296971 0.0072027734 0.0008756077 0.00079564354 0.0019171411 0.0061112624 0.0014633444 0.021122538 0.0009975531 0.0055015353 0.0007256749 0.00071767846 0.00493379 0.0007836489 0.0009275844 0.0011734742 0.0016232728 0.0012514393 0.001035536 0.00089359964 0.001397374 0.001857168 0.001647262 0.0018511707 0.002296971 0.0021270472 0.0017672083 0.0018031922 0.0017192297 0.0015413095 0.0007336713 0.0010495298 0.001051529 0.000881605 0.00087760686 0.00087160955 0.0015992835 0.0014713409 0.0011534833 0.001399373 0.0016792477 0.0014653435 0.0014473515 0.0014393552 0.0020350884 0.0015013274 0.0014473515 0.0014393552 0.0015333131 0.0013174098 0.0019651197 0.001705236 0.0022369977 0.001455348 0.0018411751 0.0015932862 0.0023909288 0.001493331 0.0021750256 0.0017072351 0.00698687 0.003926241 0.0033445016 0.004733879 0.0034764425 0.0021970158 0.00339248 0.0035144256 0.0032045643 0.0031066083 0.0016092791 0.0019091447 0.008132357 0.0013034161 0.0016772486 0.0015792925 0.0024029235 0.0024089208 0.0030346406 0.0029586744 0.00350443 0.004006205 0.0047818576 0.004957779 0.0059653274 0.0050277477 0.0038582715 0.0037243315 0.004020199 0.0038542734 0.0034024757 0.0035564068 0.005127703 0.004238101 0.0045079803 0.0040461873 0.004348052 0.0036163798 0.0028807095 0.0022949718 0.013753838 0.0036683567 0.0022909737 0.0046439194 0.0044100243 0.0017152316 0.0017152316 0.0016332683 0.003968222 0.0017832011 0.0015692969 0.0016552585 0.0022949718 0.0011874681 0.0025548553 0.001647262 0.0037843047 0.0017532145 0.0013453972 0.0011514841 0.0035923906 0.0019451285 0.015642991 0.07192378 0.008213553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037909474 0.00015540779 0.0 2.0052619e-06 0.0 0.0 0.0 5.0131544e-05 1.0026309e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00010728151 0.005557583 5.7149962e-05 5.1134175e-05 6.0157854e-06 3.0078927e-06 4.7123653e-05 0.0 2.0052619e-06 5.0131544e-05 0.0 0.0 0.0 8.4221e-05 0.0 3.0078927e-06 0.000298784 0.010482506 0.00023160774 2.4063142e-05 1.0026309e-05 8.021047e-05 1.9049987e-05 1.6042095e-05 0.00013836306 2.3060511e-05 2.3060511e-05 1.7044726e-05 6.0157854e-06 0.0001784683 6.0157854e-06 1.4036833e-05 0.0010507572 0.002884569 0.0009103889 5.8152593e-05 2.5065772e-05 3.0078927e-05 2.8073666e-05 2.105525e-05 1.3034201e-05 2.9076296e-05 6.0157854e-06 1.0026309e-05 1.9049987e-05 1.4036833e-05 1.3034201e-05 2.9076296e-05 1.6042095e-05 0.008649697 0.002653964 0.00041709444 0.00016042094 0.00015340252 0.00011730781 0.00039804447 7.619995e-05 0.00014337622 0.00012933939 9.926046e-05 7.0184165e-06 0.00012833676 0.0037628738 1.6042095e-05 0.0015681147 0.007878673 0.0010196756 0.00036295239 8.4221e-05 0.00039202868 0.00013435254 0.00064168376 0.00035894188 2.6068403e-05 2.8073666e-05 3.408945e-05 2.9076296e-05 0.000105276245 0.0037588633 1.4036833e-05 0.001559091 0.009901983 0.00010427361 0.0005364075 4.9128914e-05 0.0010607835 0.00024263668 0.0016784042 0.001290386 0.0002757235 0.00018949724 9.2242044e-05 2.8073666e-05 0.00019250513 0.0021857354 0.0015310174 0.0032284716 0.0118210185 0.00045218653 0.00049128913 0.0001945104 0.0007730284 0.00052437594 0.0017927041 0.004982073 0.0005073312 0.00020253145 0.00015641042 0.00015841569 0.00012532886 0.0068870718 0.0064328797 0.0076199947 0.019982435 0.0018628882 0.0038230317 0.0010437388 0.003381874 0.0020453671 0.0070795766 0.0083509125 0.00093645725 0.0019330723 0.0015009384 0.00085825205 0.0020423592 0.009937075 0.005690933 0.009613225 0.021437252 0.002868527 0.0014658464 0.0005855365 0.0029697928 0.0010437388 0.0038009738 0.0055014356 0.00092843623 0.003561345 0.0011831045 0.0029938559 0.002781298 0.007197887 0.0070234295 0.0106329005 0.01963452 0.0020894827 0.0047554784 0.010080451 0.0024995587 0.0018839434 0.0042822366 0.0053500384 0.0015881674 0.0063055456 0.0040426077 0.0058122515 0.008084213 0.009904991 0.009151013 0.017471846 0.027230453 0.0032405031 0.008009016 0.0026860482 0.0039754314 0.003110161 0.0048206495 0.003968413 0.0044516814 0.0024404037 0.0032114268 0.005516475 0.004568989 0.0034711082 0.005587662 0.012274208 0.04509834 0.0064038034 0.007604955 0.0059315646 0.010790314 0.0106950635 0.007072558 0.009855862 0.020272193 0.0027562324 0.0030730637 0.004563976 0.012967026 0.0040907343 0.009644306 0.01987816 0.05147106 0.010309051 0.007866642 0.009620244 0.016139349 0.01991225 0.011832047 0.013303909 0.030747682 0.0065371534 0.004338384 0.0051765833 0.01897078 0.007879676 0.016324837 0.028297251 0.007534771 0.0030419822 0.0029788164 0.0028775507 0.0031793425 0.003876171 0.0035994449 0.0029587639 0.0042601787 0.0032986556 0.0026399272 0.0026740166 0.00398245 0.002501564 0.0035944318 0.0044968 2094.0 15.031041 31475.0 0.15161239 0.0013026211 0.0015250199 0.001683876 0.0051787132 0.00082605245 0.0010802224 0.004733916 0.006290707 0.0036854646 0.0010484512 0.0013979349 0.008514694 0.0019062748 0.009849086 0.0013661636 0.008927721 0.006322478 0.0058459095 0.005115171 0.006544877 0.004733916 0.0038760921 0.005019857 0.007212073 0.0054646544 0.005655282 0.0066401907 0.006544877 0.007720413 0.0054328833 0.005528197 0.008705322 0.010420969 0.0042891186 0.010007943 0.0081652105 0.012263701 0.004416203 0.0044479747 0.0041620336 0.012708499 0.0020333598 0.0010802224 0.014233518 0.005401112 0.010293884 0.007021446 0.014932486 0.0024146147 0.012899126 0.011787132 0.022081017 0.005051628 0.0052104844 0.0062589357 0.0038125496 0.0025099285 0.0014297061 0.004892772 0.0021286735 0.005051628 0.0020015885 0.0060047656 0.0045750597 0.037839554 0.007466243 0.016552819 0.028943606 0.062494043 0.0059412234 0.008260524 0.0062589357 0.023796665 0.0045750597 0.003494837 0.017696586 0.012962669 0.026052423 0.033677522 0.010897538 0.0022557585 0.032025415 0.03164416 0.04619539 0.017633041 0.0053693405 0.0036854646 0.005242256 0.007021446 0.0020333598 0.0014932486 0.0026687847 0.0016521049 0.0012708498 0.0016203336 5.630991 1.0 0.0 0.0 4.0 500224.0 557056.0 1.0 0.0 127.0 1.0 1.0 0.0 1.0 0.0 1479120600.0 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 14.0 0.0 6.0 0.0 6.0 0.0 212992.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -214016.0 0.0 178176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6298585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.607675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1342793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.718852 0.0 5.8864374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -213773.0 0.0 177944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 305308.0 177944.0 364544.0 0.0 0.0 0.0 0.0 9748.0 544768.0 84.0 296560.0 0.0 0.0 0.0 0.0 24.0 296740.0 64.0 296648.0 0.0 0.0 528.0 217088.0 0.0 0.0 0.0 0.0


Input: 0.15452267 0.007739117 0.0055658417 0.006418217 0.0070617325 0.0058255056 0.005469879 0.0055319727 0.007197209 0.005080383 0.0044538025 0.004961841 0.006728685 0.0041094655 0.0044481577 0.0050916728 0.0069262553 0.003821577 0.003550623 0.0039401194 0.0049844203 0.0033982117 0.0036691655 0.0035844925 0.005503748 0.0033586975 0.0032966041 0.003770773 0.0046570175 0.0032627347 0.0031159683 0.0036183617 0.006299675 0.0040981756 0.0030087156 0.0035957822 0.003900605 0.0035223989 0.0032401553 0.0034546603 0.0034603053 0.0028280797 0.0025345467 0.0036804553 0.0036691655 0.003121613 0.0034151464 0.0034828847 0.0049787755 0.0028619491 0.0030256503 0.0034546603 0.0041997833 0.0031159683 0.0030030708 0.0031498375 0.004295746 0.0035901372 0.0022861722 0.0042675217 0.003471595 0.0029635567 0.00281679 0.003336118 0.006215002 0.004177204 0.0038498014 0.004307036 0.0037933525 0.0034433706 0.0035393334 0.004047372 0.004600569 0.0031611272 0.0029409772 0.0030087156 0.0033982117 0.0036861 0.0034207911 0.0034095014 0.005554552 0.0036973897 0.0032175758 0.004250587 0.003082099 0.0029974259 0.0042392975 0.0044933166 0.0038102872 0.00281679 0.0023764903 0.003206286 0.0034885297 0.0027490517 0.0031893514 0.003776418 0.0045779897 0.003646586 0.0025063222 0.0031385478 0.0037425489 0.0030933886 0.0031329028 0.0028563042 0.0048884572 0.003302249 0.0034603053 0.002907108 0.0037086795 0.0030933886 0.0027829208 0.0029974259 0.0045384755 0.0027151825 0.0029183978 0.0029127528 0.005690029 0.0049957098 0.0030651644 0.0029183978 0.0037538386 0.0027659864 0.0020039289 0.002342621 0.0035223989 0.0026643786 0.0030143606 0.0029974259 0.006243226 0.004261877 0.0029353325 0.005249729 0.0040586614 0.00390625 0.0029861361 0.0030651644 0.0036352961 0.004465092 0.0028506594 0.004950551 0.0030933886 0.0043634847 0.0026248645 0.0025797056 0.0039231847 0.002432939 0.0025063222 0.0021845647 0.0024893878 0.0020603775 0.0024442286 0.0027659864 0.00260793 0.002647444 0.0022692378 0.002303107 0.0023990697 0.0018910314 0.0023313314 0.0026813133 0.003426436 0.0032458003 0.001953125 0.0025514811 0.0028563042 0.002653089 0.0027208272 0.002212789 0.0025345467 0.002212789 0.0017103956 0.0021281159 0.0024442286 0.0019869942 0.0021337608 0.0022410133 0.0032288656 0.002218434 0.0018063583 0.002032153 0.0027546966 0.002082957 0.0023313314 0.0024047147 0.003945764 0.0019644147 0.0019926392 0.0025797056 0.0030764542 0.002082957 0.002523257 0.0029409772 0.0051255417 0.00433526 0.0035901372 0.0036296514 0.0033643425 0.0022635928 0.0032683797 0.0036691655 0.0037481936 0.0027434067 0.0017611994 0.0024555183 0.0026361542 0.002122471 0.0022014992 0.0025966403 0.0032683797 0.002557126 0.0025740606 0.0028337247 0.002647444 0.0021506955 0.0024893878 0.0022353686 0.0034828847 0.0024442286 0.0021958544 0.002822435 0.002517612 0.0021902095 0.0024950325 0.002822435 0.004380419 0.0028563042 0.002297462 0.0021902095 0.003607072 0.0018176481 0.0017160404 0.0018289379 0.00325709 0.0022748825 0.0019305455 0.004832009 0.0030764542 0.0023708453 0.0019926392 0.0026587336 0.004380419 0.0025627709 0.0021394058 0.0019869942 0.0024442286 0.0016708815 0.0026305094 0.002692603 0.0038385116 0.002088602 0.0017103956 0.0023934247 0.0028845286 0.0020490878 0.002466808 0.006158553 0.10465116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00990189 0.00018168605 0.0001021984 0.00011355378 0.00013058685 0.00017033066 0.00012490916 0.00014761991 0.0003122729 3.122729e-05 6.5293425e-05 7.097111e-05 7.097111e-05 6.245458e-05 6.245458e-05 7.948765e-05 0.0092461165 0.00014478106 0.00012207031 0.0001334257 0.00029807867 0.0001589753 0.00056493003 0.00026969024 0.00013910337 4.8260357e-05 5.9615733e-05 5.677689e-05 7.3809955e-05 0.0001788472 6.5293425e-05 6.813227e-05 0.0045393123 0.00011923147 4.2582666e-05 9.935955e-05 8.232649e-05 4.8260357e-05 3.6904978e-05 9.084302e-05 0.00027820675 2.2710756e-05 2.55496e-05 3.9743823e-05 9.368187e-05 6.5293425e-05 8.516533e-05 0.00014478106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035996549 0.00010787609 0.00025833485 0.00014761991 0.00031511174 0.0001987191 0.000383244 0.00021291334 7.66488e-05 1.4194223e-05 2.2710756e-05 2.8388445e-06 2.55496e-05 2.8388445e-06 1.9871912e-05 0.00042582667 0.0068132267 0.00013058685 0.00017316951 0.00024981832 0.0004144713 0.00024981832 0.00083462027 0.00042298783 0.00022426872 0.00019588027 0.00022710756 0.00022710756 0.00029807867 0.0004031159 0.0001788472 0.00058480195 0.003304415 0.00012207031 0.00034917786 9.368187e-05 0.0002753679 0.00019304143 0.000255496 0.00013058685 0.00028956213 0.00014194222 0.00019304143 0.0001334257 0.00026969024 5.677689e-05 5.677689e-06 0.0 0.0026458031 5.10992e-05 0.00017600835 8.232649e-05 0.0001021984 0.00010787609 0.00018736374 0.00013910337 0.00037188863 0.00028672328 0.0003576944 0.0003122729 0.00048260356 0.00029240098 0.00011071494 0.00010787609 0.00248115 0.00034633902 0.00021007449 0.0001532976 0.00021575218 0.00032362828 0.000255496 0.00022710756 0.00032646712 9.935955e-05 9.6520715e-05 0.0001532976 0.00026969024 0.00013058685 0.000255496 0.00026969024 0.0023335302 0.00034350017 0.00021575218 0.00016465299 0.00025265716 0.00023562409 0.00025833485 0.0002668514 0.00044853744 0.00018168605 0.00016181414 0.0001589753 0.0002043968 0.00019304143 0.0002043968 0.00019020258 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08701626 0.06315577 0.055939432 0.053858556 0.059218295 0.055536315 0.051161654 0.05118153 0.05913881 0.039144825 0.038017806 0.0390114 0.047919694 0.04056425 0.042247683 0.042469114 1100.0 6.2445455 6869.0 0.018488863 0.008443733 0.0071334983 0.008298151 0.008880477 0.010045131 0.009317222 0.011937691 0.010336294 0.0091716405 0.006114427 0.007570243 0.011646528 0.00815257 0.012228854 0.009899548 0.012956763 0.0074246614 0.009026059 0.009462804 0.011500946 0.00640559 0.008298151 0.009026059 0.012083272 0.008589314 0.004949774 0.0091716405 0.011792109 0.006842335 0.006842335 0.009462804 0.023293056 0.015140486 0.010336294 0.013539089 0.01368467 0.0107730385 0.011064202 0.012665599 0.01091862 0.010481875 0.010627457 0.00815257 0.013102344 0.011646528 0.009753967 0.012228854 0.018052118 0.011064202 0.009753967 0.014121415 0.009317222 0.009026059 0.011064202 0.011500946 0.011500946 0.008298151 0.00815257 0.009317222 0.010481875 0.00640559 0.009899548 0.012228854 0.016741883 0.011500946 0.006842335 0.009608385 0.013247926 0.013975834 0.008589314 0.008006988 0.011792109 0.012228854 0.009753967 0.010336294 0.017469792 0.010045131 0.008734896 0.011792109 0.016013976 0.0062600086 0.012956763 0.012665599 0.019653516 0.01455816 0.0077158245 0.0071334983 0.010045131 0.0071334983 0.0052409377 0.004949774 0.008589314 0.0052409377 0.006551172 0.005532101 6.5167747 0.0 1.0 0.0 2.0 177152.0 417792.0 0.0 0.0 11.0 0.0 1.0 0.0 0.0 0.0 1053047100.0 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 7.0 0.0 4.0 0.0 4.0 0.0 147456.0 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 -146944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28931.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.924197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.5663414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147456.0 0.0 0.0 0.0 0.0 0.0 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 616.0 381788.0 9052.0 372736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.1125324 0.008342809 0.004461011 0.003304113 0.00929339 0.0034554112 0.0064171925 0.027718175 0.012499695 0.005101355 0.0012623484 0.0011217479 0.0051395614 0.0030916838 0.0009811473 0.01701878 0.040065043 0.0044457284 0.00083137717 0.00080539664 0.002749352 0.010766639 0.00075343554 0.0005196107 0.0023382483 0.00090014917 0.0007060593 0.0011079934 0.0023535308 0.00064187206 0.0004890454 0.0012134438 0.0044640675 0.00048751713 0.0009628081 0.0006067219 0.006021371 0.004366258 0.0004691779 0.00045848003 0.0020738582 0.00050432805 0.00048598886 0.0009077905 0.002559847 0.0006510417 0.0013418182 0.000727455 0.0063316096 0.003191021 0.0030825143 0.0052786334 0.003814554 0.0034813918 0.0024849619 0.0024681508 0.003872628 0.0028960656 0.002605695 0.0042990143 0.0035333529 0.0027707478 0.0026133363 0.005665285 0.013247017 0.0058670165 0.0031237775 0.0020723299 0.0051533156 0.014066168 0.0036861796 0.003464581 0.0053458773 0.0021166496 0.0015985671 0.001746809 0.00271573 0.004979093 0.00225725 0.0016306607 0.0121451365 0.0026790518 0.005023413 0.0055185715 0.003991833 0.0032001908 0.0049469997 0.0027233714 0.0029923464 0.0022312696 0.0023963223 0.0008619425 0.0018094679 0.0018033548 0.0013097246 0.0031451732 0.0021869498 0.004082001 0.0010942391 0.0020784428 0.004748325 0.005355047 0.0029342724 0.0007580203 0.005515515 0.0023688136 0.009165016 0.00082220754 0.004462539 0.0017712612 0.0027906152 0.0033942806 0.0026377884 0.00038970803 0.0048384927 0.002578186 0.009727418 0.0059755235 0.0010606172 0.000750379 0.002147215 0.0016841501 0.0005822697 0.00046153658 0.0014656079 0.0011874633 0.00079928356 0.00066632434 0.0033820544 0.0011675959 0.0005532326 0.0124431485 0.004581744 0.014139525 0.00066173956 0.0011675959 0.0022587783 0.008865476 0.0011584263 0.025349362 0.0015420212 0.024631076 0.00071217236 0.0008466598 0.0017040175 0.00047376272 0.0003683123 0.0007182854 0.0014014207 0.0010774281 0.00032399257 0.00038359498 0.0012592919 0.00035302964 0.00031635124 0.00037748192 0.0014808906 0.0015741148 0.00038512325 0.00045848003 0.0019561816 0.0054910625 0.0006449286 0.0008894513 0.0017483373 0.001380025 0.00038817976 0.00041568858 0.0017773743 0.00040804723 0.00059296755 0.00065562647 0.0015893976 0.000796227 0.000979619 0.0006892483 0.0013968359 0.00035608618 0.00034386004 0.00026591844 0.001294442 0.0026851648 0.0006525699 0.00044931044 0.00225725 0.00055934564 0.00045389525 0.00044625392 0.0014304577 0.0014870036 0.00053489336 0.0008069249 0.005727944 0.0022465521 0.0013219508 0.001626076 0.006779392 0.00079928356 0.0066647716 0.0048155687 0.0034462416 0.0012898572 0.00066479604 0.0005562891 0.011990782 0.00047223445 0.0008466598 0.0009857321 0.0022664196 0.00044931044 0.00062811765 0.0010331083 0.0015481343 0.0002628619 0.0016138498 0.0009459972 0.0021258192 0.00049974327 0.00032399257 0.000589911 0.0022221 0.0015970388 0.00036067097 0.00036067097 0.0027248997 0.0009826756 0.0011141065 0.0006204763 0.002319909 0.001248594 0.00078552915 0.0006174198 0.008079947 0.002651543 0.0009704494 0.003327037 0.006553208 0.0005073846 0.0006892483 0.0008512446 0.0044457284 0.0007366246 0.008494107 0.0009139036 0.0029938747 0.00051044114 0.0017972417 0.00325368 0.004655101 0.004965339 0.0034034501 0.0024650944 0.0103585925 0.002915933 0.004742212 0.09207044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025646247 1.4541291e-05 7.500245e-05 7.11758e-05 3.0613244e-06 0.0 1.5306622e-06 3.0613244e-06 1.377596e-05 7.653311e-07 1.5306622e-06 3.0613244e-06 3.2143907e-05 8.418642e-06 0.00023801798 0.00010408503 0.0012321831 3.8266558e-06 3.9797218e-05 3.7501224e-05 1.1479967e-05 1.0714635e-05 2.6021258e-05 1.6837284e-05 0.0 0.0 0.0 0.0 1.6071954e-05 3.0613244e-06 0.00012245298 4.745053e-05 0.005614469 0.00055409974 0.00027398852 0.00012857563 0.00010867702 2.9847914e-05 4.4389206e-05 4.4389206e-05 4.285854e-05 0.00010178904 6.658381e-05 4.132788e-05 2.9082583e-05 4.132788e-05 6.199182e-05 0.00065359275 0.015602806 0.002567686 0.00055945705 0.00020281275 0.00018061814 0.00016301553 0.00013622893 0.00019745543 0.00020587406 0.00059466227 0.00017296484 0.00022118069 0.00024031397 0.00023572198 0.00027169255 0.0019584824 0.018538615 0.00346695 0.0006780834 0.0006352248 0.0030590284 0.0012980016 0.0028432051 0.0015398462 0.00031072443 0.00034057235 0.00088395743 0.00051736383 0.00055639574 0.0005655797 0.00049593457 0.0018880719 0.006046881 0.000922224 0.00096125586 0.0022010922 0.012710619 0.0062053045 0.011995034 0.00688798 0.00020357808 0.00014082092 0.0006688994 0.00011173834 0.00011173834 0.00010561569 0.00047527062 0.0004086868 0.014428022 0.0010477382 0.0015719901 0.0033460276 0.011890184 0.0055394666 0.009285762 0.005346603 0.0005418544 0.0005020572 0.0018490399 0.000679614 0.0008418642 0.0006780834 0.0012428977 0.0007699231 0.010907499 0.0026319737 0.0030850498 0.03470394 0.0038327782 0.0032388812 0.0033567422 0.0026564642 0.0035044511 0.0024283957 0.0034271528 0.00232278 0.0027819786 0.002202623 0.0030483138 0.003645272 0.01983126 0.0069913 0.0036093015 0.0026097791 0.0045942827 0.004865975 0.0035075124 0.0026281471 0.014978295 0.0011434046 0.0021069564 0.0016906165 0.0048805163 0.0013538707 0.0046815304 0.023975527 0.11676887 0.048153102 0.01496605 0.013068794 0.033858247 0.03257938 0.02047873 0.015732147 0.078122705 0.0067456285 0.010207221 0.008945955 0.037762966 0.0104934545 0.021974953 0.10851171 0.00956817 0.0043930006 0.0012796336 0.0012681537 0.0029067276 0.0029174422 0.0018934292 0.0019209811 0.005681053 0.00065895007 0.0010087064 0.00089314143 0.0030330073 0.0011525886 0.0014679051 0.0069790543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3917.0 19.73398 77298.0 0.008202023 0.0010996404 0.0010737665 0.0008538384 0.006584905 0.003997516 0.0010090817 0.0009185231 0.0015912442 0.0008538384 0.0010220187 0.00081502757 0.002846128 0.0027296955 0.0048254807 0.00089264923 0.016999146 0.013247432 0.011488007 0.0116303135 0.012380657 0.00868069 0.008874744 0.009068798 0.008797123 0.0093146 0.00884887 0.00821496 0.009883827 0.008240834 0.008499573 0.035214365 0.08628943 0.035822403 0.0151621 0.011371575 0.016636912 0.017296696 0.006804833 0.0050842194 0.019508913 0.00711532 0.0021992808 0.0096638985 0.009806205 0.0055111386 0.00868069 0.0031695515 0.018875003 0.007852726 0.005485265 0.01406246 0.008150276 0.008667753 0.012186603 0.0025615152 0.009392222 0.006416725 0.01782711 0.0009961448 0.0024062719 0.0008538384 0.0009055862 0.019211363 0.0014748118 0.031190975 0.0070635723 0.01549846 0.016248804 0.040557325 0.0063132294 0.004243318 0.0060933013 0.017309632 0.0020440375 0.00402339 0.027478073 0.013143936 0.018900877 0.026624234 0.009793268 0.00089264923 0.03468395 0.017607182 0.040764313 0.01207017 0.0036223447 0.0021863438 0.003544723 0.0049160393 0.0015136226 0.00075034285 0.0024192089 0.0007632798 0.0007891537 0.0008020906 5.8883543 0.0 0.0 0.0 2.0 654336.0 671744.0 1.0 203.0 1458.0 1.0 1.0 0.0 0.0 0.0 1541074800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 5.0 1.0 5.0 1.0 467456.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -44032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 135680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -467456.0 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 -6.7844677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9772797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2087052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3195057 0.0 4.873425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 135432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -467244.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 0.0 2.0 0.0 2.0 2.0 3.0 2.0 3.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -2.0 -1.0 1.0 -1.0 -1.0 2.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 -3.0 1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 1.0 -2.0 -3.0 0.0 1.0 -1.0 -2.0 1.0 0.0 1.0 1.0 -1.0 -2.0 4.0 0.0 1.0 2.0 0.0 1.0 1.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 -3.0 0.0 2.0 1.0 1.0 1.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 3.0 0.0 -2.0 0.0 -1.0 1.0 3.0 1.0 0.0 1.0 2.0 -1.0 0.0 -1.0 0.0 2.0 0.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 2.0 2.0 -1.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -3.0 -4.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 1.0 0.0 -2.0 0.0 1.0 0.0 -3.0 1.0 1.0 1.0 2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 3.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 -1.0 2.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -3.0 1.0 -1.0 0.0 2.0 -1.0 -2.0 -1.0 -3.0 -2.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 -4.0 -1.0 0.0 0.0 2.0 -1.0 1.0 0.0 2.0 -2.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 -1.0 -3.0 -2.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 2.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -2.0 -2.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 3.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 2.0 4.0 -1.0 0.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -2.0 2.0 -1.0 1.0 0.0 -1.0 -2.0 2.0 1.0 -1.0 -3.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 3.0 0.0 1.0 2.0 0.0 -1.0 1.0 -1.0 4.0 -1.0 1.0 -1.0 1.0 1.0 1.0 0.0 -1.0 2.0 -1.0 -2.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 3.0 -2.0 -1.0 1.0 1.0 0.0 1.0 -2.0 -1.0 1.0 1.0 0.0 2.0 -1.0 1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 -2.0 -2.0 1.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 -4.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 3.0 0.0 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 1.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 1.0 -1.0 -1.0 -2.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 2.0 -1.0 2.0 -1.0 1.0 -1.0 0.0 2.0 2.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 2.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 2.0 1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 2.0 3.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 2.0 -1.0 0.0 4.0 0.0 0.0 -1.0 -1.0 -2.0 2.0 0.0 -1.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 1.0 3.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 1.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 3.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 3.0 2.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 -1.0 0.0 0.0 3.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 4.0 0.0 0.0 -1.0 -2.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -2.0 -2.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 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 0.0 -1.0 0.0 -2.0 -1.0 -1.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 2.0 -2.0 0.0 0.0 -1.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 -3.0 2.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 -4.0 0.0 1.0 0.0 0.0 2.0 1.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 4.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 2.0 2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 3.0 3.0 1.0 0.0 0.0 1.0 0.0 -2.0 2.0 2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 -3.0 0.0 3.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 -2.0 0.0 -3.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -2.0 -2.0 1.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 1.0 1.0 -1.0 2.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 1.0 -2.0 -1.0 0.0 -1.0 -3.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 3.0 0.0 -1.0 -2.0 0.0 0.0 2.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 -1.0 0.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 3.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 1.0 1.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -2.0 2.0 0.0 1.0 -2.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 9400.0 543920.0 520.0 553320.0 480.0 622592.0 0.0 0.0 0.0 0.0 43532.0 626688.0 84.0 500384.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 500472.0 0.0 0.0 5932.0 475136.0 0.0 0.0 0.0 0.0


Input: 0.3381254 0.020242192 0.01928465 0.008730692 0.014491689 0.004640803 0.009212087 0.005349123 0.0063027306 0.0036347276 0.018224794 0.0031467744 0.0021629974 0.0019557483 0.0042184354 0.0014953408 0.0025433912 0.007028102 0.0042945137 0.0065545775 0.001260546 0.0016160174 0.0015596142 0.0015373153 0.0012998972 0.0010467386 0.00088277576 0.0016015887 0.0010454269 0.0010349333 0.0023440123 0.002128893 0.0453731 0.00075160555 0.00080276193 0.0009024513 0.001406145 0.003990199 0.0023230251 0.002658821 0.00798958 0.0022731805 0.0043259948 0.0010519854 0.0054816045 0.0018403186 0.0049844696 0.003271386 0.0039574066 0.0026614442 0.001538627 0.0013484302 0.0022062836 0.0017039016 0.0007817747 0.0008539183 0.0010047641 0.00067027996 0.0013300664 0.000476148 0.0015333802 0.001574043 0.0015674845 0.00071618956 0.0024240261 0.0034143615 0.00094573747 0.0040229918 0.003531103 0.0034865052 0.0018219547 0.0011910258 0.0012225067 0.0030706956 0.0015163281 0.0005417331 0.0022889208 0.0027480167 0.0037881967 0.0018455654 0.0018140846 0.001062479 0.0032425285 0.0053281356 0.0039114966 0.0015163281 0.0012684163 0.0010034523 0.0005154991 0.00055353844 0.0004171214 0.00076996937 0.0005312395 0.00065847463 0.0002570937 0.006894308 0.00043679692 0.014524481 0.002526339 0.01411523 0.009856133 0.03306015 0.0021197111 0.0032530222 0.0055262027 0.014852407 0.0009667247 0.0040715244 0.008301765 0.006503421 0.0127668 0.022054965 0.013646953 0.00093655556 0.023110885 0.014878641 0.018237911 0.00629486 0.0037488458 0.0017183302 0.0012526759 0.0028096668 0.00054566824 0.0057518156 0.0011228173 0.0027453932 0.00059813634 0.0003777703 0.0011503631 0.0013248195 0.0009850885 0.0007371768 0.0007266832 0.00040662778 0.0033186073 0.00046171926 0.00034760116 0.00071225443 0.0005168108 0.0007358651 0.0010860896 0.00096278964 0.0004236799 0.00033841925 0.00038301712 0.00044991396 0.0011319992 0.00046827778 0.00039613416 0.002027892 0.00054435653 0.00044991396 0.00035809478 0.00030300327 0.000586331 0.00044991396 0.00030037988 0.00028988626 0.00034366606 0.0003161203 0.00039219906 0.00060731824 0.0016645505 0.0005325512 0.002795238 0.00035415968 0.00053779804 0.00046696607 0.00038301712 0.00056140864 0.00028463945 0.0004905767 0.00051156397 0.00038826393 0.00031743202 0.0004171214 0.00033710754 0.0003095618 0.0004118746 0.00045122564 0.00033317244 0.0003134969 0.00028595113 0.00038432883 0.0003161203 0.00044204373 0.00045253735 0.0005207459 0.00041974479 0.00045384906 0.00027676922 0.00054435653 0.00033448412 0.00051025226 0.00027414583 0.0005128757 0.00030825008 0.00027283412 0.0005810842 0.00025971708 0.0002636522 0.0004184331 0.00024922346 0.00038695222 0.0003672767 0.0002754575 0.00020724899 0.0002124958 0.00030300327 0.00024528836 0.00020462558 0.0012172599 0.00033317244 0.00033841925 0.00023217134 0.00026889902 0.0002754575 0.00025053517 0.00029906817 0.001529445 0.001000829 0.00038695222 0.0011608567 0.0007358651 0.00034497774 0.0007371768 0.00023085963 0.00049582357 0.0003200554 0.00027676922 0.0010926481 0.0003161203 0.00022167772 0.00055222673 0.0007004491 0.0005430448 0.00023479474 0.00045647245 0.00025184688 0.00027676922 0.00045909587 0.0003633416 0.00028726284 0.0011779089 0.00022954794 0.00034760116 0.0002662756 0.0002138075 0.000489265 0.00024397667 0.00018232665 0.0003685884 0.00029906817 0.00023348304 0.00045516077 0.00046040758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004487193 0.0 1.3143506e-06 0.00010054782 0.0 0.0010179646 1.3143506e-06 0.0 1.3143506e-06 0.0010179646 0.0 1.971526e-06 1.3143506e-06 0.0 9.8576296e-05 0.0 0.0029513743 3.943052e-06 2.3658311e-05 0.00041730632 0.0009581616 0.00065388944 0.0042046076 0.0011638574 6.308883e-05 0.00025958425 1.0514805e-05 1.4457857e-05 1.18291555e-05 1.0514805e-05 1.7743732e-05 2.6287012e-06 0.07718852 0.00064206024 0.02173936 0.003460028 0.010524006 0.008727945 0.05965443 0.027803773 0.00036538948 0.00039496235 0.00014063551 0.00017086558 0.0001518075 0.0001780945 9.660477e-05 6.7031884e-05 0.20867221 0.006042727 0.042925376 0.00792422 0.01662522 0.011945476 0.06523516 0.03971179 0.0022159952 0.0009877345 0.0014924451 0.0010462231 0.00078729604 0.0014339566 0.0010659384 0.0010403085 0.06253351 0.008863323 0.010790161 0.0040620007 0.0037800723 0.0026779894 0.014735842 0.015608571 0.0023796319 0.0010054782 0.0013143506 0.0011993449 0.00074917986 0.0016823688 0.00085761375 0.0010041639 0.060230773 0.0119901635 0.008277123 0.0042874115 0.0027187343 0.002005699 0.0058830334 0.008977672 0.0046554296 0.0018906933 0.0027732798 0.0014615579 0.001357067 0.0023408583 0.0020609018 0.0015660487 0.034298636 0.007878874 0.0036427227 0.0025728412 0.0019478676 0.0018663779 0.0038931065 0.0033535655 0.0033759095 0.0020668164 0.004007455 0.0015456763 0.0016514815 0.0023402013 0.0018860932 0.0017342856 0.008472304 0.00199387 0.0017678016 0.0007662664 0.0009601331 0.00055202725 0.00092464563 0.0008484133 0.00091084494 0.0008280409 0.00077218097 0.00054939854 0.0004955102 0.00047513776 0.0007531229 0.00046462295 0.0018000031 0.00032004438 0.00023855464 0.00024315486 0.00028915712 0.00025104097 0.00039824823 0.0002766708 0.00021686785 0.0002931002 0.00014326422 0.00019320953 0.0001623223 0.00027207058 0.0001465501 0.00013932117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014326422 7.8861034e-05 8.2146915e-05 8.3461266e-05 9.200454e-05 8.937584e-05 0.00011894873 9.5290416e-05 7.557516e-05 6.6374705e-05 6.7689056e-05 7.228928e-05 7.228928e-05 6.3746e-05 7.688951e-05 6.7689056e-05 3726.0 22.580515 84135.0 0.0014738218 0.00010697094 0.00040411245 0.00021394188 0.00010697094 3.565698e-05 9.508528e-05 0.00010697094 7.131396e-05 0.0001188566 0.00014262792 0.0002377132 0.0007844535 0.0003803411 0.014084507 0.016307125 0.0050395196 0.0011053664 0.0016639924 0.0007844535 0.0018066203 0.000558626 0.0003209128 0.0016164498 0.0007131396 0.00040411245 0.0037320973 9.508528e-05 0.0002971415 0.00070125394 0.0003209128 9.508528e-05 0.0008676532 0.009520413 0.0022226183 0.019219112 0.010471267 0.004908778 0.007951506 0.0029951863 0.0029595294 0.009080644 0.00015451357 0.00072502525 0.0062399716 0.011077435 0.007369109 0.0038984965 0.007107625 0.0032923277 0.012408629 0.014429191 0.009116301 0.0019492483 0.0037439829 0.0014025079 0.00048731206 0.00045165507 9.508528e-05 0.00052296906 0.00027337018 0.00048731206 9.508528e-05 0.015094788 0.0001782849 0.046401616 0.0051940335 0.057039283 0.028299756 0.13209723 0.006632198 0.016045641 0.018803114 0.058727045 0.0007131396 0.016818209 0.031342484 0.022654068 0.049824685 0.043347 0.022309383 0.0031259286 0.044844594 0.0473287 0.07419029 0.020027338 0.009532299 0.0073928805 0.0026148453 0.009544185 0.0002971415 2.377132e-05 3.565698e-05 2.377132e-05 2.377132e-05 2.377132e-05 5.037273 1.0 293.0 0.0 1.0 762368.0 786432.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1527596500.0 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 48.0 0.0 4.0 0.0 4.0 0.0 759808.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -759808.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.309616 0.0 4.2696486 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 -759792.0 0.0 1436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 767896.0 1436.0 770048.0 0.0 0.0 0.0 0.0 12.0 778240.0 28.0 767584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.8445638 0.0032503256 0.0019612631 0.0024934895 0.0017366536 0.0005175781 0.0007340495 0.0007763672 0.0015022786 0.00081380206 0.0004329427 0.00052246096 0.00083496096 0.0004231771 0.0003857422 0.00032877605 0.0022021485 0.00036946614 0.00033528646 0.00033691406 0.00094889326 0.00020833334 0.00023274739 0.00019856771 0.000538737 0.00022460938 0.0002360026 0.0001969401 0.000546875 0.00022460938 0.00028808592 0.00047688803 0.0024902343 0.00040690103 0.00014648438 0.00016601563 0.0011376953 0.0003873698 0.00017252604 0.00018880208 0.0005159505 0.00018391927 0.00013509115 0.00018066406 0.00029296876 0.00024576823 0.0012320963 0.00032063804 0.0012223307 0.0005810547 0.00033040365 0.0003515625 0.0004671224 0.00025716145 0.00057128904 0.000530599 0.00052408857 0.00030761719 0.00032877605 0.0002766927 0.00030761719 0.00021809895 0.00019042968 0.001508789 0.005945638 0.0018880208 0.00040690103 0.0016682943 0.0012630208 0.00070638023 0.0006656901 0.00057291664 0.00060221355 0.00082519534 0.00034667968 0.00023274739 0.0012695312 0.0020670572 0.0004248047 0.00041178384 0.0014648438 0.00025716145 0.0009440104 0.0009977213 0.0011621094 0.00091308594 0.0016080729 0.0007438151 0.0013850911 0.00020670574 0.00023763021 9.2773436e-05 0.00040364583 0.00028808592 0.000115559895 0.000945638 0.00088378903 0.002117513 0.0006461589 0.0013704427 0.001311849 0.0019384766 0.00037923176 0.00071126304 0.0010384115 0.0016861979 0.00026041668 0.00017252604 0.0011555989 0.00091471354 0.0015152994 0.0017936198 0.0013183594 0.0004329427 0.0021289063 0.0016259765 0.0045458986 0.006355794 0.0035791015 0.0032958984 0.000563151 0.00048177084 0.00018554687 0.00017903646 0.00022298178 0.00021484375 0.00015299479 0.0003108724 0.0013411458 0.00016764323 0.00049316406 0.00032063804 0.00025390624 0.00021647135 0.00041992188 0.00037272135 0.0006461589 0.00016764323 0.00020833334 0.00018391927 0.0002815755 0.00028483072 0.00021484375 0.00013509115 0.0009358724 0.00014485676 0.000234375 0.00032552084 0.00024902343 0.00028483072 0.0014436849 0.00020996094 0.00036621094 0.00010416667 0.00017740886 0.00015136719 0.00017903646 7.97526e-05 0.00020833334 0.00018554687 0.0009667969 0.00017740886 0.0005615234 0.00017903646 0.00037923176 0.0001920573 0.00010579427 0.00014322916 0.0002750651 0.00013834635 0.00014811198 0.0001920573 0.00017903646 8.951823e-05 0.00016764323 0.00025553384 0.0010042317 0.0003190104 0.00010091146 0.00011230469 0.00024414062 9.2773436e-05 0.00018229167 0.00014648438 0.00048014324 0.00013834635 0.00020345052 7.97526e-05 0.00020996094 0.00012532552 0.00013997396 0.00011067709 0.000945638 0.00010904948 0.00013834635 0.00013834635 0.00024414062 0.000115559895 0.00014648438 8.300781e-05 0.0002766927 0.00033203125 0.0001595052 7.6497396e-05 0.00021972656 0.0002360026 0.00015136719 0.0001171875 0.0010481771 0.00030273438 0.00020670574 0.000115559895 0.00024251302 0.000115559895 0.00012369792 0.000107421874 0.00025553384 0.00013020834 0.00016276042 0.00013183594 0.0002360026 0.00012695312 0.000107421874 0.0002718099 0.0009391276 0.00016438802 0.00016601563 0.00025390624 0.00023111979 0.00019856771 0.00016764323 0.00018066406 0.00032552084 0.00010904948 0.00023763021 0.00013997396 0.0001546224 0.00046549478 0.00018880208 0.00028808592 0.0009667969 0.00014485676 0.0002734375 0.00019042968 0.00057454425 0.00013346355 0.00024576823 0.00023763021 0.0003938802 0.00026204428 0.00026041668 0.000234375 0.00049641926 0.00025553384 0.00034016927 0.005205078 0.44592223 5.787641e-05 8.396155e-05 7.25493e-05 0.00029916398 0.00016873826 5.950673e-05 0.00012308927 6.43977e-05 3.668223e-05 1.9563857e-05 2.4454821e-05 4.1573196e-05 5.0539962e-05 3.749739e-05 0.00035051908 0.055943664 0.00011575282 0.000111677015 0.00017688987 0.0002135721 0.00013450152 0.00021438726 0.00034481296 0.00011738314 7.4179625e-05 6.032189e-05 5.7061246e-05 9.4558636e-05 0.00011086185 5.5430926e-05 0.0006056644 0.050585613 0.00029997912 0.00019645372 0.00012145894 0.00033421587 0.00022824499 0.0004581203 0.000776033 0.00018748696 0.00010923153 0.00025025432 0.000101895086 0.00010923153 0.00012716507 0.00016710794 0.0010393299 0.09396439 0.0011094337 0.001354797 0.0004964329 0.0012545323 0.00075565395 0.0021071904 0.0016278758 0.00046627191 0.00043692612 0.00037497393 0.00054208183 0.00042551386 0.0002673727 0.00034073717 0.0013205603 0.06861371 0.0009830837 0.0009904202 0.00065212854 0.0010996518 0.00059180666 0.0014249008 0.0018104719 0.0004752387 0.00043855645 0.00045730514 0.00035051908 0.00042306838 0.0003790497 0.0005102906 0.00093335897 0.029508816 0.00042551386 0.0003586707 0.00028775173 0.0005412667 0.0004418171 0.0009969415 0.001435498 0.0004907267 0.00024780884 0.00033095523 0.00021031145 0.00018178084 0.0002575908 0.00020460533 0.00080782425 0.035241842 0.000983899 0.0007442417 0.0008852645 0.00071082014 0.0009439561 0.00097493216 0.002170773 0.00062930404 0.0004043197 0.00043448064 0.00038638618 0.00033747652 0.0003880165 0.0005844702 0.0009243922 0.03450249 0.0008314639 0.00089015544 0.001095576 0.0013711003 0.0010711212 0.0015536962 0.0032965099 0.0009472167 0.0008583642 0.00055593956 0.0005518638 0.00036682232 0.000502139 0.00051925733 0.0011697556 0.00956265 0.00026003626 0.00037008294 0.00034970394 0.00081190007 0.00043692612 0.00086814613 0.00090727385 0.00026900304 0.00025840593 0.00020786597 0.0001181983 9.8634446e-05 8.0700906e-05 0.0001988992 0.00022661468 0.016853448 0.0007132656 0.0006260434 0.0007629904 0.0031937996 0.0027927405 0.002333805 0.0037252842 0.0005926218 0.0005665367 0.00048257512 0.00044507772 0.00038312553 0.00047931448 0.00045893548 0.0006488679 0.011940474 0.0006015886 0.0011314431 0.0011444855 0.004078249 0.0025009129 0.0037187631 0.004577942 0.0006423466 0.00037252842 0.00031220654 0.0003790497 0.0003130217 0.00042795937 0.00070348365 0.0005445273 0.004555118 0.00035948586 0.0005600154 0.0009904202 0.0030723405 0.001227632 0.0025025434 0.002085181 0.00036600715 0.00077847845 0.00027470916 0.00019971437 0.00025596045 0.00018096567 0.00013613183 0.0008192365 0.001765638 0.00057550345 0.00056327606 0.00050458446 0.0018985092 0.00027960012 0.00043774128 0.0020835507 0.00018748696 0.0004336655 0.00023558144 0.00015080473 0.00012145894 0.00013042572 0.00012553475 0.00052333315 0.002288156 0.00025025432 0.00020868113 0.00044018676 0.00043040485 0.0001907476 0.00023721176 0.00063990115 0.0002673727 0.0002657424 0.00015814118 0.00017362923 0.00033747652 0.00030731558 0.00017281406 0.00030976106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1061.0 25.922714 27504.0 0.028432228 0.0020724258 0.00032722513 0.00047265852 0.01737929 0.0006180919 0.0006180919 0.0010543921 0.0020724258 0.0017815591 0.00065445027 0.00032722513 0.00087260036 0.001672484 0.0224331 0.0009816753 0.00814427 0.0071625947 0.002835951 0.0038903432 0.0027632345 0.0023632925 0.003999418 0.0022542176 0.002508726 0.0017452007 0.0005817336 0.00072716695 0.00087260036 0.00050901686 0.00043630018 0.028032286 0.10176702 0.03457679 0.0028723094 0.03017743 0.016324898 0.010398488 0.0013452589 0.006799011 0.0065445025 0.014797848 0.00047265852 0.0013816173 0.011816463 0.015015998 0.0042175683 0.0047993017 0.009235021 0.00047265852 0.0062172776 0.013052647 0.017888308 0.015379582 0.026359802 0.0039630597 0.0009816753 0.0007998837 0.00039994184 0.000109075045 0.0010543921 0.00021815009 0.0001454334 0.01868819 0.004690227 0.041048575 0.009816754 0.025232693 0.022942118 0.036940083 0.0035994765 0.011961897 0.008616928 0.029195754 0.0017452007 0.00065445027 0.015197789 0.016688481 0.028214078 0.03501309 0.011634671 0.00047265852 0.034067772 0.029850204 0.052574173 0.016361257 0.0154159395 0.004072135 0.005962769 0.0057082605 0.00072716695 0.00043630018 0.00047265852 0.00032722513 0.0001454334 0.0013452589 5.5149183 0.0 0.0 0.0 37.0 614400.0 45056.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1414544500.0 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 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 6.0 3.0 11.0 0.0 6.0 3.0 6.0 3.0 13312.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -13312.0 -4608.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.3508109 -3.9421883 -0.19989495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12968.0 -4236.0 2052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 500.0 25040.0 2072.0 36864.0 0.0 0.0 9024.0 24064.0 1116.0 40960.0 56.0 16964.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 4280.0 0.0 0.0 460.0 24576.0 64.0 16768.0 0.0 0.0