Input: 0.050311733 0.0063669328 0.0036181891 0.0036748922 0.0040394114 0.003669492 0.0033589758 0.0031510647 0.0039071045 0.003137564 0.0035695867 0.0030808612 0.0035506857 0.0031240634 0.0029215529 0.0035425853 0.0040826136 0.0032077678 0.0030511597 0.0030700606 0.0033589758 0.003361676 0.0032023676 0.0027946462 0.0036370903 0.0030808612 0.0032374694 0.0030349586 0.003175366 0.0028081469 0.0026515387 0.0025489333 0.0042149206 0.002770345 0.0029755556 0.0031699657 0.0045551383 0.0040637124 0.0029134525 0.0027136419 0.0031861668 0.0027325428 0.0029296533 0.0030106574 0.0032401695 0.0030322585 0.0031645654 0.0024517283 0.005365181 0.0038288003 0.003596588 0.00554069 0.0037234947 0.0033967777 0.003556086 0.0030943619 0.0033211736 0.0033994778 0.003210468 0.003115963 0.0034345796 0.0031402642 0.002735243 0.0025867352 0.008748458 0.007301182 0.003329274 0.004298625 0.0036208893 0.0052139726 0.004374229 0.0031267635 0.003342775 0.0033778767 0.0031645654 0.0028810506 0.0035074835 0.0031591651 0.0029296533 0.0026650394 0.004182519 0.002983656 0.00344268 0.0049358583 0.004147417 0.004628042 0.003556086 0.0031861668 0.0033913774 0.0035884876 0.0036667918 0.0031726658 0.0030457594 0.0031078625 0.0031267635 0.0025327324 0.0033238737 0.005386782 0.0034480803 0.004125816 0.0050033615 0.006979865 0.0038179997 0.0032131681 0.0047468483 0.0067962552 0.0032644707 0.0030484595 0.005103267 0.0041987197 0.0053381794 0.004984461 0.004490335 0.004549738 0.006561343 0.0057324 0.0076981024 0.003882803 0.0035533858 0.0024949305 0.0036127889 0.0038179997 0.003078161 0.0026704397 0.002964755 0.00267584 0.0025570337 0.0022843194 0.0041447165 0.0032077678 0.0029809559 0.004228421 0.0036667918 0.006901561 0.003269871 0.002789246 0.0033211736 0.0052733757 0.0032833717 0.01109488 0.003307673 0.007514493 0.0027109417 0.0025084312 0.003361676 0.002789246 0.0029674552 0.0026920408 0.003037659 0.004754949 0.0028243477 0.0026461384 0.0031294636 0.0033913774 0.0031024623 0.002638038 0.0028783504 0.0025570337 0.0024436277 0.0022735188 0.002945854 0.0036532911 0.002848649 0.0030700606 0.0034264792 0.0032968724 0.0029323534 0.002600236 0.0033130732 0.0027433436 0.0029728555 0.0029161526 0.003342775 0.0028000465 0.0026866405 0.0022492176 0.003269871 0.0029485542 0.0029512544 0.0027568443 0.0031294636 0.0028783504 0.0029377537 0.00267584 0.0031294636 0.0030835613 0.003515584 0.002597536 0.0029890563 0.0025894353 0.0024436277 0.0023653237 0.0060888184 0.0028945515 0.0031429643 0.004417431 0.0032428696 0.0027595444 0.0033211736 0.003037659 0.0030511597 0.0030295583 0.0029323534 0.0025705344 0.003210468 0.0026515387 0.0026353379 0.0027811455 0.003421079 0.0032428696 0.0030619602 0.0026407382 0.0030187578 0.0027568443 0.0029377537 0.004133916 0.0061698225 0.0047495486 0.0043283263 0.004314826 0.0049061566 0.004706346 0.0046334425 0.004074513 0.0045551383 0.004147417 0.004757649 0.002521932 0.0030187578 0.0028594495 0.0027649447 0.002446328 0.010868069 0.006377734 0.0047684493 0.0033157733 0.0036802925 0.002697441 0.0027541441 0.0046037408 0.0034912827 0.0029755556 0.0047711497 0.0027433436 0.0031942672 0.0025462331 0.004412031 0.002524632 0.0040097097 0.002832448 0.0044498327 0.003345475 0.004317526 0.0049790605 0.0045389375 0.031478245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022054038 2.4414063e-05 2.8483073e-05 2.7126736e-05 0.00017225477 5.4253473e-05 2.983941e-05 5.560981e-05 5.560981e-05 1.8988716e-05 2.3057726e-05 1.4919705e-05 1.763238e-05 1.8988716e-05 1.3563368e-05 1.763238e-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 0.00014241536 0.0 2.7126737e-06 0.0 1.8988716e-05 5.4253474e-06 0.0 0.00010172526 2.170139e-05 6.781684e-06 0.00021972656 0.0 9.494358e-05 0.0027533637 0.0034179688 0.0015475804 0.008162435 4.4759116e-05 0.00083007815 0.00067003036 0.0032226562 0.0012980143 0.009190538 0.0071899416 0.00019259982 4.6115452e-05 0.0008748372 4.747179e-05 0.0004082574 0.01090766 0.009825304 0.0054226345 0.008364529 0.00016140408 0.0007785373 0.001022678 0.0025878907 0.0014987522 0.005569119 0.005772569 0.00024414062 0.00037434895 0.00029975042 0.00015055339 0.00014241536 0.0031968858 0.0015136718 0.0016560872 0.00443929 9.494358e-05 0.0004353841 0.00017632378 0.0009765625 0.0004896376 0.0017361111 0.0014960394 0.0004014757 5.8322483e-05 5.967882e-05 5.560981e-05 0.00024414062 5.2897136e-05 5.8322483e-05 0.00033637154 0.0043999567 0.00074598525 0.0005452474 0.0055759004 0.0015204536 0.00096706813 0.002726237 0.0018459744 0.00048149956 0.0003716363 0.0004272461 0.00042860242 0.000386556 0.00047607423 0.0007025825 0.0006212023 0.0055569117 0.0006049262 0.0007744683 0.0016967773 0.0025010852 0.0013481987 0.0027398004 0.0017564562 0.0041544596 0.001208496 0.00055474177 0.0008165148 0.0015896268 0.0015611437 0.0029106988 0.009114583 0.018058268 0.0034817166 0.0027709962 0.0030653211 0.007374403 0.0056193033 0.0052558053 0.003403049 0.015439182 0.0029758029 0.0020168729 0.00306939 0.0045857746 0.0019978841 0.006532118 0.025465224 0.0077745225 0.0013278538 0.0015123156 0.002613661 0.0036770292 0.0027113173 0.0020480687 0.0018839518 0.0055189347 0.00063612196 0.000769043 0.001184082 0.0024102104 0.0011271159 0.002505154 0.006745063 0.044799805 0.043783907 0.04341634 0.042282443 0.043008085 0.042755805 0.043599445 0.039227974 0.043789335 0.041863337 0.042552356 0.040542264 0.041959636 0.04116211 0.038769532 0.035932075 2399.0 12.312214 29537.0 0.006872736 0.0029116024 0.00341944 0.0032840166 0.016995633 0.0037579983 0.0031147373 0.002742323 0.0026746115 0.0027084674 0.0029793142 0.0028777465 0.0032501607 0.0029793142 0.0075159967 0.0024376207 0.0075498526 0.010495311 0.006398754 0.004705962 0.0058909166 0.0063310424 0.0075159967 0.0065341773 0.0061617633 0.0059247725 0.0062633306 0.005281511 0.0058232048 0.0050783763 0.0044012596 0.0041642687 0.040762432 0.009784338 0.005416935 0.016521651 0.009208789 0.0075159967 0.013508481 0.0044012596 0.0050106645 0.006635745 0.00341944 0.0030470258 0.007109727 0.005552358 0.005349223 0.0048413854 0.0067373123 0.003859566 0.008396248 0.022751126 0.01506585 0.0048075295 0.004028845 0.005552358 0.004062701 0.0035210075 0.0063648983 0.0031147373 0.0035210075 0.0031485932 0.00341944 0.0033178725 0.0029454583 0.029522294 0.010664591 0.016521651 0.009547347 0.05071605 0.0062294747 0.0099874735 0.00985205 0.04966652 0.004333548 0.0059247725 0.028472763 0.020753631 0.035108507 0.032704744 0.017232623 0.026339846 0.048176862 0.040999424 0.05210414 0.0099874735 0.013847039 0.004130413 0.0092426445 0.014591868 0.00805769 0.0022683414 0.004333548 0.0024037648 0.002166774 0.0023699088 5.948334 2.0 0.0 0.0 7.0 370351.0 139264.0 0.0 0.0 67.0 1.0 1.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 69120.0 1024.0 4096.0 6.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -69120.0 0.0 0.0 0.0 0.0 0.0 0.0 -18944.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6888576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.811148 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2681694 0.0 0.0 0.0 0.0 0.0 0.0 -5.1013045 5.600311 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1241.0 0.0 0.0 0.0 0.0 0.0 -1984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68892.0 0.0 0.0 0.0 0.0 0.0 0.0 -18728.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18728.0 81920.0 25600.0 110592.0 0.0 0.0 0.0 0.0 4664.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.006404794 0.0039790915 0.0038448893 0.0037844984 0.0039925114 0.0039052803 0.0036872018 0.0039858012 0.0042005247 0.003834824 0.003895215 0.003767723 0.004005932 0.003935476 0.0037509478 0.0038683745 0.0040495475 0.0037744332 0.0038180489 0.004029417 0.0037777883 0.0038885048 0.0037308175 0.0039019252 0.0036872018 0.0040025767 0.0039287657 0.0037912084 0.0039321207 0.0037878533 0.0037442376 0.0038515993 0.0039723814 0.0041132933 0.0038448893 0.0038482442 0.0037408827 0.0039187004 0.0037274624 0.0039019252 0.0036368761 0.003764368 0.0039321207 0.0038549544 0.0039723814 0.003707332 0.003821404 0.004039482 0.0039220555 0.0039690263 0.0041233585 0.003962316 0.0039891563 0.0037878533 0.0041770395 0.0040025767 0.003821404 0.0040025767 0.004062968 0.00391199 0.0039925114 0.004029417 0.0038381792 0.003958961 0.003895215 0.0038482442 0.003958961 0.0037744332 0.0037173973 0.0040696776 0.0037777883 0.0037106872 0.0037207524 0.003834824 0.004009287 0.003965671 0.0038415343 0.0038448893 0.0038683745 0.0039254106 0.0040663225 0.0039187004 0.0038448893 0.0040461924 0.0039858012 0.00389857 0.0038583095 0.00389186 0.003895215 0.003955606 0.0039858012 0.0038885048 0.003962316 0.0039723814 0.0039019252 0.004140134 0.0039254106 0.004039482 0.003834824 0.0039992216 0.0037543029 0.0037509478 0.003761013 0.0039153453 0.0039153453 0.0038180489 0.0038583095 0.0039858012 0.0039925114 0.0037811433 0.0038750847 0.0038784398 0.0038683745 0.0039052803 0.0038817949 0.0037308175 0.00391199 0.003707332 0.0037744332 0.0037173973 0.0040461924 0.0037811433 0.0038482442 0.0040965183 0.0037945635 0.0038113387 0.0037475927 0.0039153453 0.003908635 0.0039723814 0.0038885048 0.003958961 0.0041233585 0.00388515 0.003824759 0.0038616646 0.00389857 0.0037878533 0.0039287657 0.0037375276 0.003962316 0.0037475927 0.003938831 0.0040461924 0.0038046287 0.0039891563 0.004015997 0.0039220555 0.0037207524 0.003824759 0.004005932 0.0039187004 0.0039690263 0.0039488957 0.003962316 0.0040562577 0.004015997 0.0039690263 0.0039488957 0.00389186 0.00391199 0.0036704266 0.003771078 0.00389857 0.0038885048 0.0038448893 0.0038583095 0.0041233585 0.0037106872 0.0039455406 0.0038683745 0.0037878533 0.0037408827 0.0038717296 0.0039488957 0.0036872018 0.0038650197 0.0037912084 0.0038549544 0.003767723 0.003757658 0.0039488957 0.0039187004 0.004079743 0.004062968 0.0037945635 0.003761013 0.0038784398 0.0038012736 0.0040596128 0.0039488957 0.004012642 0.003965671 0.0038549544 0.0039488957 0.0037543029 0.004156909 0.003952251 0.003962316 0.0040998734 0.0039153453 0.0038784398 0.0039321207 0.003707332 0.0039254106 0.0040227068 0.0038415343 0.003935476 0.0039287657 0.0037912084 0.0039723814 0.003895215 0.0039958665 0.0039321207 0.0038482442 0.0038515993 0.0036838467 0.0041200034 0.004079743 0.004036127 0.003962316 0.0039153453 0.0037375276 0.0037979186 0.0041233585 0.003824759 0.003828114 0.0040529026 0.003831469 0.003767723 0.0039153453 0.004153554 0.004015997 0.004029417 0.0037241073 0.0037006221 0.0037777883 0.003643586 0.003821404 0.004143489 0.0037408827 0.0039925114 0.0039321207 0.00391199 0.003764368 0.003958961 0.003767723 0.0039287657 0.0039052803 0.004026062 0.0039220555 0.0040025767 0.0036167458 0.003767723 0.0042441403 0.004009287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015103044 0.00015153555 0.00013469828 0.00013469828 0.00014648438 0.00013469828 0.0001599542 0.00014480065 0.00010607489 0.00012796336 0.00010775862 0.00010439116 0.00012796336 0.00011954472 0.00012122845 0.00011617726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062035292 0.061602574 0.061767578 0.06350182 0.06170023 0.06317517 0.06201172 0.061476294 0.06247306 0.0629243 0.061496496 0.062262595 0.06279971 0.06254715 0.06230637 0.062471375 1376.0 5.6606107 7789.0 0.009243805 0.011297984 0.009500578 0.009885737 0.011169598 0.010656053 0.011683143 0.009628964 0.01078444 0.00975735 0.009628964 0.010656053 0.010527668 0.00975735 0.009243805 0.010656053 0.010142509 0.011811529 0.009885737 0.0093721915 0.010912825 0.010142509 0.011041212 0.00975735 0.009628964 0.00975735 0.011169598 0.009243805 0.008730261 0.012710232 0.009243805 0.012196688 0.00975735 0.010527668 0.010142509 0.008730261 0.010399281 0.0093721915 0.011426371 0.007959943 0.013994094 0.011426371 0.012325074 0.010399281 0.012325074 0.009628964 0.011041212 0.011169598 0.00975735 0.010527668 0.011426371 0.010656053 0.00808833 0.011426371 0.00975735 0.010142509 0.010656053 0.010142509 0.0093721915 0.011169598 0.01078444 0.010656053 0.010527668 0.0102708945 0.009885737 0.012838619 0.011297984 0.00975735 0.012196688 0.011297984 0.010656053 0.01245346 0.009500578 0.009115419 0.011169598 0.009885737 0.009115419 0.010399281 0.011554757 0.010399281 0.01078444 0.0102708945 0.012325074 0.009115419 0.009628964 0.011041212 0.007959943 0.009115419 0.009243805 0.01245346 0.0093721915 0.013095391 0.01245346 0.010014122 0.00808833 0.007703171 6.5752387 0.0 0.0 0.0 7.0 298058.0 2469888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1486809700.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 996864.0 1024.0 4096.0 11.0 4.0 8.0 11.0 11.0 416256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -680960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79872.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9993353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1171456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 606208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 972.0 1784956.0 605184.0 1175552.0 0.0 0.0 13008.0 1178112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1784848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.004628277 0.0039173127 0.003936672 0.0039468766 0.003921032 0.003909874 0.0039007186 0.003927612 0.0039320947 0.0038797378 0.0039030076 0.0039105415 0.0039061545 0.00389843 0.003907776 0.0038931847 0.003931618 0.0038967133 0.0039102556 0.0038764954 0.0039079664 0.0039186478 0.003884411 0.0038897514 0.0039385795 0.0039023398 0.003902054 0.0039113043 0.003899002 0.0039172173 0.0038846969 0.003895855 0.0039405823 0.003910923 0.0039308546 0.003915882 0.0038970946 0.0038882256 0.0038892746 0.0039053918 0.0039292336 0.0039443015 0.0038752556 0.0039042472 0.0039248466 0.0039125443 0.003894043 0.003897953 0.003936863 0.0039025308 0.0038656234 0.00388937 0.003920364 0.0038974762 0.003914356 0.0039061545 0.003894806 0.0039152144 0.003930092 0.0039654733 0.003915596 0.0038805008 0.0039035797 0.0039013862 0.00390625 0.0039072037 0.0039068223 0.0038983345 0.0039081573 0.0038945198 0.0039084433 0.0038873672 0.003933144 0.0038811683 0.0038816452 0.003929615 0.003917122 0.0038925172 0.003916168 0.003904152 0.0039369585 0.0039007186 0.0038819313 0.0039110184 0.0039336206 0.0038910867 0.0038375854 0.0039051056 0.0039017678 0.0039079664 0.0039288523 0.0039251326 0.003922558 0.0039157867 0.0039268495 0.0038741112 0.0038959503 0.003928089 0.0039141653 0.003914642 0.0038884163 0.0039073946 0.003904152 0.0038864135 0.003911495 0.0038808822 0.003910446 0.0038641929 0.003939724 0.0038967133 0.0038668632 0.0039039613 0.0038856505 0.0038576126 0.00391016 0.003933525 0.003912163 0.0039235116 0.0038887025 0.003948307 0.0039182664 0.003904915 0.003908253 0.0039027215 0.0039069178 0.003892994 0.0039046288 0.0039039613 0.0039393427 0.003895855 0.0038931847 0.0039352416 0.003904438 0.0039100647 0.0038820268 0.0038487434 0.003938866 0.003895855 0.003935814 0.003923702 0.0039138794 0.0039227484 0.0039007186 0.0038799285 0.003916168 0.0038671494 0.0039046288 0.003863144 0.0039046288 0.0038805008 0.003913975 0.0038805008 0.0038858415 0.0038784028 0.0039175986 0.0038974762 0.003868103 0.0038858415 0.0038939477 0.0039246557 0.0038921356 0.003900528 0.0038444519 0.003899765 0.003917503 0.0039132116 0.003895569 0.0038887977 0.003897953 0.0038982392 0.003880787 0.003890133 0.003897953 0.0039017678 0.0039003373 0.003873062 0.003883934 0.003870201 0.003909588 0.00389843 0.003881073 0.0039144517 0.0039066314 0.0038742064 0.0039193155 0.0038698197 0.0038837432 0.0039011003 0.0038684844 0.0038805008 0.003854847 0.00390892 0.0039147376 0.0038787841 0.003919983 0.0038527488 0.003873539 0.0038818358 0.0038677217 0.00389843 0.003908825 0.003887272 0.003920555 0.0038659095 0.003915024 0.0038764954 0.0038869858 0.0038846016 0.0039288523 0.0039002418 0.0038829804 0.0038934709 0.0038851737 0.0038831711 0.003916168 0.003883648 0.0039250376 0.0039103506 0.003868103 0.0039429665 0.0039362907 0.0039010048 0.00389843 0.0038860322 0.003929329 0.0039003373 0.0038850785 0.0039237975 0.0039162636 0.0038584708 0.0038966178 0.0039046288 0.0038838387 0.0038930892 0.0038510324 0.003925228 0.0038877488 0.0038725853 0.0039250376 0.0039099692 0.003915024 0.0039046288 0.003883648 0.0038999557 0.0039260862 0.0038996697 0.0039016723 0.003911972 0.0038843155 0.0038712502 0.0038891793 0.0039245607 0.0039112093 0.0038994788 0.0038874627 0.004355335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.208625e-05 3.81507e-07 3.81507e-07 3.338186e-07 6.676372e-07 7.153256e-07 2.8613024e-07 4.768837e-07 2.3844186e-07 3.338186e-07 2.8613024e-07 2.8613024e-07 4.2919535e-07 3.338186e-07 2.3844186e-07 1.907535e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.9577334e-05 9.537675e-08 1.4306512e-07 7.439386e-06 1.1922093e-06 4.0058235e-06 3.3381862e-06 9.537675e-08 2.3844186e-07 1.4306512e-06 1.907535e-07 9.537675e-08 9.537675e-08 1.4306512e-07 9.537675e-08 9.489986e-06 6.285327e-05 9.537674e-07 6.628684e-06 5.245721e-07 6.3425537e-06 3.81507e-07 2.8613024e-07 1.4306512e-06 9.060791e-07 6.676372e-07 9.537675e-08 4.768837e-07 3.81507e-07 5.245721e-07 2.9089908e-06 1.23036e-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 2.8756089e-05 9.537675e-08 8.965414e-06 4.1488885e-05 5.722605e-06 2.3987252e-05 3.4764824e-05 1.6452488e-05 5.2934092e-06 1.3352744e-06 4.7688374e-08 9.537675e-08 4.2919535e-07 1.4306512e-07 4.7688374e-08 2.7706945e-05 0.00012556349 5.5795394e-06 2.8851466e-05 4.0248986e-05 2.8660712e-05 3.2475782e-05 5.2457212e-06 7.820893e-06 1.2351288e-05 3.0997442e-06 1.4783395e-06 2.0982884e-06 2.5274837e-06 3.1474326e-06 8.2024e-06 8.3311585e-05 9.613976e-05 1.6261734e-05 1.4974149e-05 4.601928e-05 3.0282117e-05 3.0568248e-05 2.5751722e-05 1.1826716e-05 1.50218375e-05 1.3114302e-05 3.4812513e-06 5.2934092e-06 6.294865e-06 6.390242e-06 1.5927917e-05 0.00015098139 0.00017673311 1.788314e-05 3.810301e-05 6.619146e-05 3.7626127e-05 5.0597362e-05 4.5494708e-05 2.9948298e-05 2.0506e-05 1.2112847e-05 9.871494e-06 1.34481215e-05 1.4211135e-05 1.5164903e-05 1.4592642e-05 0.000121176156 1.7501632e-05 7.868582e-06 8.965414e-06 1.5784852e-05 1.2732796e-05 1.4735707e-05 1.2780484e-05 4.196577e-06 4.0058235e-06 8.154711e-06 2.6228606e-06 4.7688372e-06 4.5303955e-06 5.102656e-06 6.819437e-06 6.476081e-05 2.284273e-05 2.9089908e-06 6.1994883e-06 9.776117e-06 4.9119026e-06 4.1012e-06 1.4449577e-05 9.919181e-06 2.813614e-06 2.432107e-06 3.3858744e-06 3.0043675e-06 2.7659257e-06 2.432107e-06 3.195121e-06 2.5274837e-06 0.06259204 0.0624175 0.06244945 0.06231392 0.062346347 0.06234072 0.062272478 0.062422507 0.062462088 0.06224234 0.062273193 0.06219856 0.062203664 0.062411394 0.062313635 0.062396184 48271.0 5.6370077 272104.0 0.010591539 0.01062829 0.010477612 0.010565813 0.010540088 0.010378385 0.010529063 0.010532738 0.010903919 0.010503337 0.010260782 0.010323259 0.010507012 0.010220357 0.010437186 0.010326934 0.010727516 0.010484962 0.01013583 0.010455561 0.01036736 0.010415135 0.010168906 0.010466586 0.010495987 0.010598889 0.010440861 0.010293858 0.010429836 0.010319584 0.010602564 0.010253432 0.010356334 0.01039676 0.01015788 0.01037471 0.010238732 0.010176256 0.010712815 0.010360009 0.010683415 0.010444536 0.010242407 0.010352659 0.010352659 0.009885926 0.010573164 0.009834475 0.010532738 0.010426161 0.010319584 0.010580514 0.010602564 0.010540088 0.010029254 0.010095404 0.010484962 0.010569488 0.010304883 0.010360009 0.010433511 0.010540088 0.010304883 0.010224032 0.010172581 0.010484962 0.010032929 0.010356334 0.0106576895 0.010639315 0.010308558 0.010602564 0.01068709 0.010764266 0.010323259 0.010032929 0.010415135 0.010227707 0.010554788 0.010495987 0.01040411 0.010088054 0.010503337 0.010631965 0.010341634 0.010473937 0.010764266 0.010720165 0.01063564 0.010514362 0.009977803 0.010595214 0.010786317 0.010146855 0.010437186 0.010348984 6.584686 3.0 1.0 0.0 185.0 10485760.0 282624.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1535667500.0 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 65536.0 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 -62976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8969927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3974276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 278572.0 61484.0 217088.0 0.0 0.0 7632.0 44387536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 127280.0 0.0 0.0


Input: 0.09754847 0.003480341 0.0032193405 0.003333653 0.0033264586 0.00328529 0.003222738 0.003399003 0.0032990796 0.0032067501 0.0031909621 0.003307673 0.0033328538 0.0032830918 0.0032353282 0.0035998498 0.0032275342 0.0031304085 0.0031222147 0.003205551 0.0032459202 0.003304875 0.0032808934 0.0033370506 0.0031931605 0.0032065501 0.0031995554 0.0033150674 0.003341647 0.003329656 0.003391209 0.0035049221 0.0034553602 0.0031697783 0.0031334062 0.003227734 0.003251316 0.003195159 0.0031276105 0.0032894867 0.0031447974 0.0032427225 0.003187165 0.0033486416 0.0032601093 0.003262907 0.003355836 0.0034955295 0.0031837677 0.0032351285 0.0032221384 0.0034245837 0.0032203398 0.0033148674 0.00323293 0.0033924081 0.003290486 0.00339021 0.0032902863 0.0035295035 0.0034417706 0.0034809406 0.0034269819 0.003577267 0.0032215388 0.0036370214 0.0032293329 0.0032860895 0.003391409 0.003439972 0.0032191405 0.003431978 0.0031575875 0.0033290565 0.0031803702 0.0033484418 0.0032175418 0.0033344524 0.0034243837 0.0033976042 0.0034667514 0.0032241368 0.0032105471 0.0034067973 0.0032071497 0.0033150674 0.003410794 0.003495929 0.0032950826 0.0034571588 0.0033136683 0.00337702 0.0033460436 0.003439972 0.0034301793 0.0036070442 0.0031849667 0.003430379 0.0032625075 0.003439972 0.0033898102 0.0037923027 0.003853656 0.015385846 0.00337702 0.0034067973 0.0033812167 0.0033984035 0.0033236607 0.0033734227 0.0034111938 0.0036066445 0.0033502404 0.003317865 0.0034237842 0.003535299 0.0037489359 0.003671595 0.0034669512 0.003510518 0.0034667514 0.0034937307 0.0033898102 0.003545691 0.003514315 0.0036104417 0.0035486887 0.0037345467 0.0032173418 0.0032267347 0.003163583 0.0035854606 0.0032217386 0.0033870123 0.003200355 0.0033152672 0.003191162 0.0033876118 0.0032217386 0.0038042935 0.0032471193 0.0034453678 0.0033656287 0.0035041228 0.0031294092 0.0032035524 0.0031697783 0.0032766967 0.0032601093 0.0032952824 0.0032782953 0.003434576 0.0031435983 0.0033034761 0.0032577112 0.0032870886 0.0033682266 0.0033564356 0.0034871357 0.003558881 0.0031789714 0.003239525 0.0032595098 0.003574869 0.0036416177 0.015345876 0.0032045518 0.0033528383 0.003235728 0.0031999552 0.0032469193 0.0033012778 0.003315467 0.0033094715 0.0033696257 0.0034691496 0.0032045518 0.003222538 0.003280294 0.0033820162 0.0032599093 0.0033422466 0.0033448446 0.0034149908 0.0033164662 0.0034089955 0.0033448446 0.0034385729 0.0034453678 0.003497528 0.0036032472 0.0036548078 0.0034373738 0.0033226614 0.0032401246 0.0035041228 0.00332466 0.0033200635 0.003365429 0.003536698 0.003253914 0.00325911 0.0032838911 0.003352039 0.0033136683 0.003332454 0.0034261823 0.003615238 0.0032625075 0.0033000787 0.0032874884 0.003348042 0.003299879 0.0033196637 0.0033070734 0.0034569588 0.0033842144 0.0033426462 0.0033198637 0.0034361747 0.0033472427 0.0034419703 0.0035197109 0.0036757917 0.003395206 0.0033820162 0.0033702252 0.0034431694 0.003358634 0.003382216 0.0033474425 0.0035910564 0.0037745163 0.0034471664 0.0032946828 0.0035426933 0.0034917323 0.003471348 0.0034923318 0.0036997735 0.0035265058 0.003489734 0.0034171892 0.003570872 0.003422785 0.0034613556 0.0035970518 0.0036655995 0.0036050458 0.0035666751 0.0034859367 0.003668997 0.003711964 0.003659804 0.0037417414 0.021281742 0.0078910645 9.995522e-07 8.9959696e-07 1.0995075e-06 1.6992387e-06 1.6992387e-06 3.0986117e-05 1.5992836e-06 6.9968655e-07 4.1981193e-06 2.8187373e-05 1.3993731e-06 9.995522e-07 1.9991045e-07 1.7991939e-06 1.609279e-05 0.0075854016 3.1985671e-06 1.8991492e-06 1.2994178e-06 1.8991492e-06 3.0986118e-06 0.00013254062 3.2985222e-06 1.2994178e-06 5.497537e-06 0.00013004174 1.6992387e-06 1.5992836e-06 1.9991044e-06 1.8991492e-06 0.00010695209 0.009265449 3.4984328e-06 2.4988806e-06 3.7982984e-06 3.5983878e-06 4.1981193e-06 0.00030596292 8.296283e-06 8.596149e-06 7.696552e-06 0.00030386387 2.9986566e-06 5.1976713e-06 1.6992387e-06 5.1976713e-06 0.00030286433 0.012405742 1.03953425e-05 7.696552e-06 1.1794716e-05 0.0003265537 0.00011274949 0.0007062836 1.169476e-05 7.4966415e-06 1.2594358e-05 0.00069478876 4.39803e-06 5.2976266e-06 5.997313e-06 7.696552e-06 0.0014313587 0.008580656 9.695656e-06 4.2980746e-06 8.995969e-06 3.7982984e-06 5.7974025e-06 0.0006625032 1.1594805e-05 7.396686e-06 1.0695208e-05 0.0006557062 4.997761e-06 8.995969e-06 3.7982984e-06 1.109503e-05 0.0010642232 0.006902008 4.0082043e-05 1.9791134e-05 3.5883924e-05 4.1681327e-05 2.1490372e-05 0.00074876455 4.3980297e-05 2.3089657e-05 1.6392656e-05 0.00072577485 9.595701e-06 2.4289118e-05 7.9964175e-06 2.8087417e-05 0.0015465071 0.01843634 2.3589431e-05 3.0486342e-05 3.4584507e-05 0.00015822912 8.4762025e-05 0.0037736094 4.97777e-05 1.6592567e-05 5.477546e-05 0.0037087386 2.3089657e-05 2.3789342e-05 2.3889297e-05 2.5988356e-05 0.0036238765 0.015100535 3.888258e-05 0.00014513498 3.468446e-05 5.7874073e-05 7.546619e-05 0.004618231 0.00018671635 1.759212e-05 6.3271655e-05 0.004299174 3.0886164e-05 3.1685806e-05 3.0486342e-05 5.247649e-05 0.00551373 0.0053452053 2.278979e-05 6.667013e-05 2.488885e-05 3.6683567e-05 3.8782626e-05 0.0023493476 8.366252e-05 2.1790238e-05 4.0082043e-05 0.0022379975 2.948679e-05 2.96867e-05 3.198567e-05 4.0082043e-05 0.003111606 0.0011973636 2.3589431e-05 0.000105752624 5.2876312e-05 0.00011454868 6.627031e-05 0.00056414725 0.0001723228 2.8787103e-05 1.8891536e-05 0.00024818882 1.6692522e-05 2.5788448e-05 1.8991492e-05 2.4089208e-05 0.00039232423 0.00044640002 1.7492164e-05 0.00013354018 6.60704e-05 0.000116247924 5.627479e-05 0.00032265545 0.00016822464 1.27942685e-05 9.995522e-06 2.5288671e-05 9.695656e-06 9.895567e-06 9.295835e-06 8.79606e-06 2.029091e-05 0.00010855137 5.397582e-06 3.178576e-05 1.1794716e-05 2.468894e-05 2.1090551e-05 0.00011284944 6.6470224e-05 5.2976266e-06 3.0986118e-06 2.9986566e-06 2.698791e-06 3.2985222e-06 3.1985671e-06 3.0986118e-06 3.0986118e-06 7.796507e-06 5.7974025e-06 6.297179e-06 5.497537e-06 8.23631e-05 3.0486342e-05 1.0495298e-05 8.596149e-06 3.8982535e-06 6.1972237e-06 5.497537e-06 5.997313e-06 5.6974477e-06 4.897806e-06 6.9968655e-06 8.196328e-06 0.0004566954 6.766969e-05 4.7578684e-05 7.27674e-05 0.0001589288 0.00014753391 6.247201e-05 0.000105752624 0.00024638962 2.2290014e-05 1.839176e-05 3.1885716e-05 8.99597e-05 3.948231e-05 9.685661e-05 0.00017772039 0.002676501 0.000502175 0.00038582715 0.0006987869 0.0010281394 0.001009048 0.0004631925 0.0008508188 0.0014803368 0.00017842007 0.00018261818 0.00022270023 0.000812536 0.00025188716 0.00079204515 0.0015662983 0.050821833 0.0515615 0.05115678 0.05258854 0.05109011 0.052326757 0.05215743 0.054557458 0.05160638 0.05235914 0.05198551 0.053766713 0.05281274 0.05361608 0.054381438 0.055995613 20053.0 6.2261505 124853.0 0.0155623015 0.009122728 0.0095792655 0.008986568 0.009443105 0.009026615 0.008722258 0.009411068 0.008898465 0.0090826815 0.00924287 0.009427086 0.009411068 0.009667369 0.01033215 0.010179971 0.009763482 0.009050644 0.009170785 0.009683387 0.009611303 0.009427086 0.009443105 0.009258889 0.008914484 0.009330973 0.009154766 0.009346992 0.010035802 0.009595284 0.009803529 0.009627322 0.008674201 0.014248757 0.008842398 0.009346992 0.017060062 0.009122728 0.009282917 0.013351701 0.008746286 0.013191513 0.008930502 0.009803529 0.0093630105 0.009803529 0.012750995 0.0092989355 0.013760182 0.009531208 0.009443105 0.010988923 0.009170785 0.009330973 0.010300113 0.010844753 0.012638863 0.009459124 0.009346992 0.009451115 0.009042634 0.009683387 0.010027792 0.01047632 0.009346992 0.012470665 0.009899642 0.0122143645 0.011149111 0.017003996 0.009779501 0.010492339 0.010043812 0.012919193 0.009018606 0.009539218 0.012262421 0.0115015255 0.012598816 0.01433686 0.010596462 0.009090691 0.013527908 0.013367721 0.015778556 0.011381385 0.009587275 0.010083859 0.009691397 0.011149111 0.0096433405 0.0096433405 0.009891633 0.009571256 0.00992367 0.009867604 6.564143 0.0 2.0 0.0 72.0 5003820.0 11005952.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1257193300.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 73728.0 4096.0 4096.0 5.0 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 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 10166272.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 684032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4647307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9753845 0.0 0.0 7.6549587 0.0 0.0 0.0 0.0 0.0 -6.620693 0.0 1.8665439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14146.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59204.0 0.0 0.0 10166272.0 0.0 0.0 0.0 0.0 0.0 -73717.0 0.0 680268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 50.0 91920.0 140.0 88132.0 680268.0 155648.0 0.0 0.0 9032.0 10309632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 85576.0 0.0 0.0 696.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.060369328 0.003957069 0.0040356866 0.0042890087 0.003374719 0.0034038366 0.0035785416 0.0034591598 0.0036134825 0.0040589804 0.0034824538 0.0035581593 0.0040939213 0.003188367 0.0029146625 0.0034533362 0.0040851864 0.0031068379 0.0032553372 0.0029758092 0.0030602498 0.003258249 0.0031243085 0.0035203067 0.0030049267 0.0030689852 0.0036979234 0.003467895 0.0043967436 0.0028593391 0.0033019253 0.0037998345 0.003782364 0.00450739 0.003025309 0.0029146625 0.003703747 0.004358891 0.003820217 0.0030427794 0.0030369558 0.002838957 0.0031068379 0.0029379565 0.0039454224 0.003386366 0.003828952 0.0029350447 0.0037183056 0.002908839 0.0031505143 0.0036688058 0.0030893674 0.0029263094 0.0030165736 0.0034649833 0.0033892777 0.003587277 0.0029350447 0.003939599 0.00340966 0.0029816327 0.004565625 0.0033019253 0.0058875596 0.0040851864 0.0034300422 0.0042919205 0.0057390607 0.012549645 0.0032320432 0.00445789 0.0041143037 0.0043414203 0.0034504246 0.0038318639 0.0031213968 0.0049441527 0.005337239 0.0029583387 0.0051974747 0.00420748 0.00444042 0.0036688058 0.003913393 0.0045365077 0.0041026566 0.004286097 0.005756531 0.0029496034 0.0031592494 0.0029816327 0.0032961017 0.0037241292 0.0039628926 0.004003657 0.00450739 0.0031272203 0.0030369558 0.003517395 0.0035232182 0.003852246 0.0040007452 0.0034154835 0.0034271306 0.0037765405 0.003727041 0.0033135721 0.0036542471 0.003971628 0.0040880977 0.003269896 0.0043530674 0.0036775412 0.0031446908 0.0035203067 0.0034242189 0.0034125717 0.0037619818 0.0033659837 0.0031010145 0.0037241292 0.0034038366 0.003025309 0.0033485133 0.003467895 0.0033077488 0.0028011042 0.005031505 0.0040735393 0.003563983 0.0039658044 0.0031388672 0.0032640726 0.004283185 0.0030398676 0.004553978 0.004379273 0.0035785416 0.007404582 0.003339778 0.0036833645 0.0048713586 0.0028797213 0.005325592 0.003188367 0.0030981028 0.00444042 0.003563983 0.0038609814 0.0034533362 0.003351425 0.0029263094 0.0029117507 0.0038085699 0.0038493343 0.003456248 0.004236597 0.0036920998 0.0035086595 0.0030602498 0.0034271306 0.003703747 0.0034271306 0.002955427 0.0033718073 0.0032757195 0.0033193957 0.0038609814 0.003398013 0.0029233976 0.0032902781 0.0035552476 0.0027981924 0.0028098393 0.0027981924 0.0030806323 0.0031592494 0.0028826331 0.0032757195 0.0033543368 0.003211661 0.0034125717 0.002978721 0.0032611608 0.0038376874 0.0030515147 0.0035465122 0.0031446908 0.0037212174 0.0035552476 0.0028826331 0.0030981028 0.0044637136 0.0033310428 0.003735776 0.0029991032 0.0029175743 0.010756007 0.003820217 0.0034649833 0.004344332 0.0033019253 0.0042598913 0.0057157665 0.0033543368 0.003328131 0.0039425106 0.0034358657 0.0036222178 0.00444042 0.0036950116 0.0029874563 0.002780722 0.0035523358 0.003398013 0.004364714 0.0032320432 0.0030340443 0.004204568 0.0035290418 0.0034999242 0.0030864556 0.003773629 0.0040677157 0.0028768096 0.0030165736 0.0039541572 0.0034242189 0.0037241292 0.0043880083 0.0031621612 0.004970358 0.0030631616 0.00329319 0.0030194854 0.0041667153 0.0030107503 0.0030806323 0.0029059271 0.0039628926 0.004076451 0.0031010145 0.0032436901 0.0037095703 0.0033601602 0.0032873666 0.0034067482 0.0035698062 0.003939599 0.0034358657 0.0041958326 0.0041608918 0.0035115713 0.003703747 0.0066387914 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052115984 0.05099615 0.052298725 0.05207651 0.05475621 0.057087973 0.052227087 0.051865995 0.054706506 0.055627514 0.04984562 0.050358754 0.053395163 0.05408665 0.051167198 0.051699337 1551.0 7.556415 11720.0 0.008105802 0.0065699657 0.006228669 0.005802048 0.005887372 0.006996587 0.0056313993 0.005802048 0.0067406143 0.005802048 0.0060580205 0.005119454 0.0061433446 0.0055460753 0.0193686 0.0045221844 0.0059726965 0.0056313993 0.0064846417 0.008788396 0.005460751 0.0053754267 0.0061433446 0.0065699657 0.01894198 0.0067406143 0.0067406143 0.0061433446 0.0045221844 0.0064846417 0.018174062 0.005119454 0.006399317 0.033361774 0.0059726965 0.0065699657 0.062627986 0.006911263 0.006313993 0.03609215 0.0061433446 0.034385666 0.005802048 0.005204778 0.006313993 0.008020477 0.045733787 0.005802048 0.035409555 0.006996587 0.0059726965 0.006911263 0.0059726965 0.005290102 0.019027304 0.0071672355 0.04658703 0.0068259384 0.0057167234 0.0055460753 0.017832765 0.005290102 0.0060580205 0.00947099 0.0059726965 0.009641638 0.0064846417 0.007849829 0.011177475 0.016808873 0.0070819114 0.009044369 0.0061433446 0.022269625 0.0068259384 0.0057167234 0.009812287 0.009385666 0.022866894 0.009812287 0.0064846417 0.005204778 0.009726962 0.022098975 0.012798634 0.0068259384 0.005460751 0.005887372 0.0061433446 0.005887372 0.0060580205 0.0053754267 0.005460751 0.006228669 0.006228669 0.005887372 6.147522 0.0 0.0 0.0 9.0 343436.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 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 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 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 -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 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 -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 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 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 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.050357416 0.0056190575 0.0054661282 0.004098504 0.0065191556 0.0040897653 0.0036834101 0.003744582 0.00744547 0.0063618566 0.0052563967 0.0044349483 0.006178342 0.0035261116 0.0040373323 0.0045572915 0.008218855 0.004924322 0.006095323 0.0043825153 0.006685193 0.0043737767 0.0044087316 0.0036571939 0.0047888705 0.003692149 0.0032202532 0.0027265102 0.0052957213 0.0028794394 0.0031940367 0.0027745736 0.0058943303 0.004915583 0.005238919 0.0038712947 0.006147756 0.005151531 0.0032901636 0.0044087316 0.005217072 0.0052039637 0.0037402124 0.0044349483 0.0047801314 0.0041902615 0.0036178692 0.004142198 0.004199 0.0031634509 0.0036790408 0.002896917 0.0043519298 0.0027134018 0.0021279012 0.0022939388 0.0048762583 0.0031721897 0.003499895 0.0038144924 0.004028593 0.002682816 0.002586689 0.0024075434 0.0049505383 0.003744582 0.0053044604 0.0036528243 0.006147756 0.004028593 0.0035566974 0.0038363396 0.006374965 0.0045660306 0.0050772512 0.0044830116 0.0048456728 0.0035042646 0.0043431907 0.0037795373 0.006086584 0.0038887723 0.0052083335 0.004247064 0.0049505383 0.0041465675 0.003949944 0.0039018807 0.004194631 0.0038625558 0.0038756642 0.0036746715 0.004111612 0.003058585 0.0035479586 0.0034387235 0.003058585 0.0031634509 0.0037620596 0.0024031738 0.0052782437 0.0038057535 0.0031940367 0.0024949315 0.0037620596 0.0038450784 0.0035872832 0.0030236298 0.004081026 0.0023769576 0.0030498463 0.0028619617 0.004199 0.0028357452 0.0039761607 0.003853817 0.006064737 0.0063705957 0.002757096 0.003176559 0.0038276007 0.0032071448 0.0025124091 0.0026129056 0.0039848993 0.0031416037 0.0031328648 0.0033076413 0.004247064 0.0028838087 0.0028881782 0.0031241262 0.0049549076 0.004002377 0.0020798377 0.0023813269 0.004989863 0.0048806276 0.0047145905 0.0035042646 0.0032333613 0.0036003916 0.0028881782 0.0025386256 0.0049330606 0.0042863884 0.003810123 0.0031372344 0.0043737767 0.004081026 0.0031110179 0.0038363396 0.0034037682 0.0029843051 0.0024818233 0.002307047 0.003648455 0.0033557047 0.002521148 0.0030017828 0.0029493498 0.003067324 0.003272686 0.0022240283 0.0043956237 0.0037533208 0.0028270064 0.003198406 0.0034081375 0.0028707006 0.0031284955 0.0030323686 0.0037533208 0.002542995 0.0029493498 0.0030760625 0.0031284955 0.0028051594 0.003521742 0.0023638492 0.0036528243 0.0029580886 0.0021847035 0.0029537193 0.0041159815 0.0032552083 0.003971791 0.0026129056 0.0036615632 0.0027352488 0.002660969 0.0031284955 0.0033775517 0.0022939388 0.0035479586 0.0020186661 0.0044262093 0.0029056557 0.0027396183 0.0027614653 0.005138423 0.003360074 0.0032421001 0.0027002937 0.003596022 0.002328894 0.0027527264 0.0023245246 0.0035130035 0.002328894 0.0040373323 0.002822637 0.004164045 0.0023638492 0.0026740772 0.0027833125 0.0036309774 0.0026740772 0.0025124091 0.002350741 0.0039193584 0.002372588 0.002123532 0.0025823195 0.0038232312 0.0026434914 0.003582914 0.0023114164 0.0052869827 0.002940611 0.0024512375 0.002660969 0.0062089274 0.0040722876 0.0028925475 0.005732662 0.0046403105 0.0021759649 0.0027745736 0.002822637 0.004819456 0.0028838087 0.0032071448 0.0028051594 0.004893736 0.0024730845 0.002792051 0.0031284955 0.0048675197 0.002822637 0.00449612 0.002822637 0.004059179 0.0024774538 0.0031721897 0.008065926 0.013456328 6.5983954e-06 0.0 2.1994651e-06 0.0 0.0 0.0 4.3989303e-06 2.1994651e-06 0.0 0.0 0.0 4.3989303e-06 0.0 6.5983954e-06 3.079251e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007344014 6.598395e-05 0.0001451647 3.2991975e-05 9.897593e-05 1.3196791e-05 9.237754e-05 6.598395e-05 0.00016276042 8.577914e-05 0.0001759572 1.0997325e-05 5.4986627e-05 1.5396256e-05 4.1789837e-05 0.0006026534 0.0025513796 0.0 0.0 0.0 0.0 0.0 0.0 1.0997325e-05 4.3989303e-06 0.0 2.1994651e-06 0.000189154 0.0 0.0 0.00012756897 0.0016188063 0.0027075415 3.7390906e-05 5.4986627e-05 1.5396256e-05 2.1994651e-06 0.0 0.0 4.1789837e-05 4.618877e-05 0.0 0.00016056096 7.0382885e-05 3.2991975e-05 0.0 8.138021e-05 0.0012536951 0.0032750035 5.718609e-05 0.00012536951 6.158502e-05 0.00021994651 7.6981276e-05 0.000109973254 3.5191442e-05 0.00014076577 0.00012756897 2.6393582e-05 2.199465e-05 4.8388232e-05 3.2991975e-05 4.618877e-05 9.897593e-05 0.0023380313 1.5396256e-05 4.618877e-05 3.959037e-05 5.4986627e-05 5.938556e-05 5.2787163e-05 5.938556e-05 5.2787163e-05 5.718609e-05 4.1789837e-05 0.00020015132 3.079251e-05 7.918074e-05 0.00012097058 0.0012558945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004497906 0.00024853955 0.0002573374 0.00025293848 0.00043109516 0.00031892245 0.0006026534 0.000378308 0.00018035613 0.0002639358 0.00020455025 0.00024194116 0.00016715935 0.00024194116 0.00014736416 0.00057406037 0.003994229 0.00048168286 0.00041789838 0.00035411387 0.0005982545 0.00036951015 0.00038930532 0.0003277203 0.0004025021 0.00028593047 0.00023534277 0.00016935881 0.0003145235 0.00015396255 0.0002397417 0.00027493315 0.0015440244 0.00014296523 0.00016276042 0.00014736416 0.00032332138 0.00017815667 0.00060705235 0.00037390908 0.00018475507 7.918074e-05 8.138021e-05 9.4577e-05 9.6776464e-05 0.00016276042 9.897593e-05 0.0002265449 0.0027449324 0.0006334459 0.00064004434 0.0003717096 0.0006158502 0.00042669624 0.00047068554 0.0003277203 0.00047508447 0.00041569892 0.00034751548 0.00026833473 0.0003277203 0.00030572564 0.00034311655 0.00029472832 0.075454846 0.07005736 0.072839685 0.05155986 0.07027071 0.06512176 0.051702827 0.057676572 0.05563327 0.054326788 0.04950556 0.04876654 0.048737947 0.04617557 0.056145746 0.05395288 1575.0 5.9511113 9373.0 0.017176997 0.012269285 0.013442867 0.0068281232 0.016216792 0.012482663 0.0098154275 0.009602048 0.012162595 0.013762936 0.009495359 0.011095701 0.010668943 0.008641844 0.012696042 0.009602048 0.009602048 0.00746826 0.0098154275 0.0080017075 0.010135496 0.006294676 0.005761229 0.0055478504 0.012482663 0.010668943 0.008641844 0.008321775 0.009068602 0.0056545394 0.0061879866 0.0038408195 0.010348874 0.010455564 0.013442867 0.008961912 0.017176997 0.013336179 0.009708738 0.007788328 0.013442867 0.0131228 0.011415768 0.0098154275 0.0131228 0.008855223 0.010135496 0.009068602 0.016536862 0.008641844 0.014616451 0.012269285 0.012696042 0.008215086 0.010775632 0.009708738 0.009495359 0.010135496 0.008961912 0.008961912 0.009922117 0.0070415023 0.007788328 0.0073615704 0.008428465 0.016323483 0.009495359 0.009068602 0.018137204 0.017817134 0.007895018 0.00746826 0.01301611 0.01482983 0.008641844 0.00917529 0.017390376 0.007681639 0.010775632 0.010989011 0.012375973 0.0064013656 0.016323483 0.0131228 0.018030513 0.016110104 0.007788328 0.008535154 0.009388669 0.00928198 0.0050144033 0.0051210923 0.00928198 0.007254881 0.006294676 0.005761229 6.5138154 0.0 0.0 0.0 5.0 228864.0 622592.0 0.0 0.0 12.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 500736.0 1024.0 4096.0 10.0 3.0 0.0 1.0 10.0 0.0 0.0 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 -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 -200192.0 0.0 0.0 0.0 4096.0 0.0 0.0 -11776.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.20692001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1562824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9434204 0.0 0.0 0.0 0.0 0.0 0.0 -12.032836 7.224689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -503808.0 0.0 0.0 0.0 7762.0 0.0 0.0 -20480.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 676.0 608220.0 31232.0 573440.0 0.0 0.0 0.0 0.0 8.0 607904.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 608116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.121461235 0.010414434 0.0070507326 0.008067166 0.007313326 0.0059860665 0.003347624 0.0037924259 0.012098964 0.0022079314 0.00200786 0.0016470168 0.0064933905 0.0033047516 0.0015505537 0.008590568 0.007566988 0.0016202215 0.0012968917 0.001831011 0.005775277 0.0023508396 0.001221865 0.0011879243 0.003817435 0.0017577707 0.0011843515 0.0012200786 0.0032172205 0.0011789924 0.001064666 0.0013719186 0.004478385 0.0010164344 0.0015255448 0.0011414791 0.019044302 0.0024169346 0.0010182208 0.0010861022 0.002195427 0.0013612005 0.0010146481 0.005173276 0.0017148982 0.0011700607 0.0010807432 0.0009574848 0.003874598 0.002261522 0.0022025723 0.00626831 0.002793855 0.0047445516 0.0022633083 0.0023097536 0.0032422293 0.003174348 0.00242408 0.0049464093 0.0026848875 0.0023865667 0.0021132547 0.002175777 0.0043211863 0.002307967 0.0017917113 0.0018988925 0.010348339 0.020507324 0.0031046802 0.013294034 0.002834941 0.0014523044 0.0014665952 0.0012057878 0.0043193996 0.007079314 0.0015880672 0.0012843873 0.0065773493 0.0032261522 0.0013469096 0.0030582352 0.0026848875 0.004437299 0.0033958557 0.003036799 0.002332976 0.0044390853 0.0014326546 0.0017702751 0.0036798858 0.004917828 0.0022597357 0.001941765 0.0020882457 0.0016559486 0.0010503752 0.0015166131 0.003987138 0.0036584495 0.0025187568 0.0012004287 0.006103966 0.0051661306 0.0055055376 0.002429439 0.002297249 0.0012897464 0.001698821 0.0018774562 0.0024097892 0.0009789211 0.002600929 0.0021579135 0.008345838 0.008274384 0.0016791711 0.0016898892 0.0023865667 0.0013576277 0.0010200072 0.0010575205 0.0020846731 0.002606288 0.0017095391 0.0014933905 0.0031189711 0.0017863523 0.0011879243 0.009769561 0.0036423723 0.012608075 0.0012593784 0.0011111111 0.0024973205 0.012111468 0.0015255448 0.029789211 0.0017363344 0.011055734 0.0011218293 0.0011861379 0.0021382638 0.0010128617 0.0010843158 0.0013504823 0.0013951411 0.0017702751 0.0009324759 0.0011414791 0.0018292248 0.0011950696 0.0011021794 0.00100393 0.0014880315 0.0023794211 0.0009842801 0.001384423 0.0022257948 0.0021972132 0.0013361915 0.0016916756 0.0015434084 0.0018220793 0.0009610575 0.0010217935 0.0018417292 0.0010110753 0.00094498036 0.0011057521 0.0017006074 0.0010200072 0.00096641656 0.003367274 0.0020346553 0.001100393 0.0010271525 0.0011236155 0.0018971061 0.0022543767 0.0021775635 0.0017684888 0.0030760986 0.0013719186 0.0011146838 0.001130761 0.0014380136 0.0017720615 0.0012808145 0.0011271883 0.007297249 0.005866381 0.0034405144 0.0034726688 0.0030403715 0.0011075384 0.0034994641 0.005612719 0.005339407 0.0030546624 0.001982851 0.0013040372 0.0032440156 0.0011986424 0.0014255091 0.0012968917 0.0031171846 0.0016898892 0.0017220436 0.0014040729 0.002672383 0.0012718828 0.0016916756 0.0013147553 0.0029117542 0.0020150053 0.0011146838 0.001602358 0.015064308 0.012842086 0.0040603788 0.0017113255 0.0042015007 0.00185602 0.0012075742 0.0010610933 0.0031332618 0.0014773133 0.0010968203 0.0010771704 0.01365309 0.0048302966 0.0012254376 0.003833512 0.0057073957 0.0010932476 0.0012111468 0.0015862808 0.004660593 0.0014558771 0.0015434084 0.0014523044 0.0031868524 0.0021989997 0.0027795641 0.002109682 0.005905681 0.001814934 0.0020042872 0.0034297963 0.00818328 0.004031797 0.008252948 0.06770097 0.0091743115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007872527 0.00010930333 8.242546e-05 9.138475e-05 0.00017918578 0.00025713159 7.525803e-05 6.898653e-05 6.540281e-05 3.314937e-05 4.03168e-05 8.959289e-05 7.794581e-05 3.314937e-05 4.838016e-05 5.0172017e-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 0.0066818376 0.00015768349 0.00016216312 2.9565654e-05 0.00057160266 4.5692374e-05 5.0172017e-05 4.927609e-05 0.00013170154 0.00025265195 0.00012184633 0.00011647076 5.1067946e-05 4.3004587e-05 2.6877868e-05 0.0006826978 0.013269603 0.00040495986 0.00045961153 0.0004945528 0.0012157755 0.00021591886 0.00093445386 0.0007678111 0.00035478783 0.0002911769 0.00013797305 0.00012543004 9.855218e-05 0.00013618119 8.3321385e-05 0.0011933773 0.006882526 0.0001827695 0.00022398222 0.00017112242 0.0008117116 0.00028938503 0.0004891772 0.00045692374 0.00019710435 0.00012453411 0.0001953125 0.00017112242 9.765625e-05 0.00010661554 9.5864394e-05 0.00051336724 0.007757848 0.00018456136 0.00039868837 0.00028042574 0.0012292145 0.0004990324 0.0025901305 0.0012919295 0.0003592675 0.00014424455 0.00015768349 0.00014155677 0.00021771072 0.00020427178 0.00018814507 0.00086905103 0.010580921 0.0004524441 0.0005456207 0.000390625 0.0015616041 0.00052143063 0.0014075043 0.0008278383 0.00047305046 0.0003879372 0.00050619984 0.00080185634 0.0006782182 0.0005241184 0.0007839378 0.001575043 0.0107395 0.0014290066 0.001499785 0.018543936 0.0024539493 0.0018285909 0.0024888904 0.0021072247 0.002029279 0.0015669797 0.0016816586 0.0018438217 0.0019217675 0.0019307268 0.001965668 0.0046848124 0.015745055 0.0014451334 0.0017094323 0.0021968177 0.0040666214 0.0029709002 0.0033686927 0.0027567733 0.012449828 0.002051677 0.0017990252 0.0021878583 0.0038390553 0.0066244984 0.0039994265 0.02820205 0.043973085 0.0071978928 0.009012149 0.0067078196 0.02310332 0.013049205 0.008871488 0.009603462 0.030860271 0.0031294797 0.0036966025 0.0044285767 0.015342782 0.015611561 0.013913776 0.041039813 0.058355432 0.015332031 0.02160891 0.010405318 0.032695133 0.020399405 0.013052789 0.013563467 0.0374561 0.0032549098 0.0057276734 0.0049930117 0.019471223 0.020557985 0.01653616 0.031361096 0.013895857 0.0107287485 0.010660658 0.0105423955 0.010960794 0.010482368 0.010615862 0.010331852 0.0112869125 0.010932124 0.010692015 0.010789672 0.010438467 0.010519997 0.010647219 0.010786984 2006.0 10.3993025 20861.0 0.020804372 0.0038349072 0.005464743 0.0037390345 0.01323043 0.0036431619 0.0041704616 0.0065193423 0.0062796604 0.0034034802 0.004601889 0.005464743 0.0068069603 0.004506016 0.0059920424 0.004889507 0.024255788 0.017832318 0.017113274 0.018647237 0.0196539 0.019222472 0.016633911 0.018119937 0.019797709 0.01898279 0.018263746 0.018886918 0.01792819 0.01572312 0.015531374 0.014428838 0.0076698144 0.008245051 0.0049853795 0.009251714 0.010641867 0.006327597 0.0070466422 0.007813623 0.008388859 0.0057044243 0.0035472892 0.0041225255 0.008197114 0.0057044243 0.004506016 0.0069507696 0.013422175 0.0070466422 0.0058961697 0.011504722 0.009635204 0.005752361 0.007717751 0.009491395 0.0056085517 0.005081252 0.004937443 0.0044580796 0.0069987057 0.004314271 0.004026653 0.0073342603 0.0076218783 0.01716121 0.008436796 0.016729783 0.016058674 0.035808448 0.007957432 0.008532668 0.011408849 0.017832318 0.008101242 0.0059920424 0.018072 0.009347586 0.017400892 0.022290397 0.009395523 0.0035952255 0.023392934 0.017736446 0.032165285 0.011792339 0.005512679 0.0062317243 0.00929965 0.00786156 0.004601889 0.0038828435 0.0065193423 0.0035472892 0.0034034802 0.0056085517 6.321069 0.0 9.0 0.0 6.0 559800.0 573440.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.869484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3082137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9438436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5609374 0.0 5.554412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 -2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 1.0 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 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 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 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553816.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0