Input: 0.0145465145 0.004810485 0.004321101 0.004225475 0.004185076 0.0040101865 0.004061324 0.0041871215 0.0044903657 0.0039007526 0.0039304122 0.004145189 0.003978993 0.004120132 0.0038138193 0.004554799 0.0041145068 0.0038020578 0.0037381363 0.0037524546 0.0037560342 0.003961606 0.0038168875 0.0037360906 0.0038332515 0.0037606366 0.003895639 0.0038117738 0.0037989896 0.0037381363 0.003744784 0.003696715 0.0042418386 0.0037524546 0.0038122851 0.0037391589 0.0038081943 0.0037637048 0.0037631935 0.0037171699 0.0036997832 0.0037836484 0.0038194444 0.0038618883 0.0037596137 0.0037744436 0.00391098 0.003774955 0.003995868 0.0038322287 0.0038623998 0.004137007 0.0038383652 0.0039416626 0.0036813738 0.0038337628 0.0037545 0.0037959213 0.0037805801 0.0038414334 0.0038291605 0.0037130788 0.0038209786 0.0037442725 0.0039401283 0.0038838775 0.0038823434 0.0038910366 0.0038015463 0.003990243 0.0039084232 0.0037943872 0.0038388767 0.003871093 0.003742227 0.0037918303 0.0037800688 0.003974902 0.0037810914 0.0037902961 0.00407104 0.0037401817 0.003803592 0.004042403 0.00388848 0.0039171167 0.0040275734 0.0039125145 0.00372842 0.003796944 0.003722795 0.0038629111 0.0038209786 0.0039457534 0.0038020578 0.003766773 0.0037979668 0.0039304122 0.003726886 0.003906378 0.004022971 0.004330306 0.0039815498 0.0038823434 0.003967231 0.004078199 0.0040060957 0.003817399 0.003983595 0.0038716046 0.004097631 0.004058256 0.0038153534 0.003654271 0.004115018 0.0040418915 0.0042244517 0.0041232 0.0037770006 0.003920696 0.003824558 0.0036987604 0.0037800688 0.0037366021 0.0038526836 0.0038879684 0.0037238176 0.003817399 0.004304226 0.0039012642 0.003853195 0.003949333 0.003861377 0.0041206433 0.0038808093 0.003798478 0.0038864342 0.003918651 0.0038649566 0.0043420675 0.0038081943 0.004065926 0.003710522 0.003744784 0.003783137 0.0037800688 0.0037943872 0.0037754665 0.0037279087 0.0037263746 0.0038127967 0.0037340452 0.0038046145 0.0038102397 0.003827115 0.0036752373 0.0037509205 0.0037964326 0.0037156357 0.00384757 0.0038439904 0.0038199557 0.0036716578 0.0037877394 0.0037718867 0.0038194444 0.0036783055 0.0037585911 0.0037662617 0.0037846712 0.0038312061 0.0038184216 0.0037683072 0.0038015463 0.0038802978 0.0037954098 0.003744784 0.0037437612 0.0037248405 0.0038567747 0.0037683072 0.0038685363 0.0038260922 0.0037478523 0.0037703526 0.0037759778 0.0038168875 0.0038480812 0.0037115447 0.003865468 0.0038056374 0.0038097284 0.004077688 0.0038721159 0.0037417158 0.0037780232 0.0038066602 0.0037780232 0.0037677959 0.0038214899 0.0038925707 0.003792853 0.003750409 0.0037238176 0.0042464407 0.003787228 0.0037902961 0.0037616594 0.003801035 0.0038204673 0.0037463182 0.0038583088 0.0037729095 0.0037933644 0.0038731387 0.003787228 0.0037943872 0.0038030804 0.0038537064 0.0038066602 0.0037468295 0.0036762601 0.003720238 0.0038398993 0.0037677959 0.0037319998 0.0037493864 0.0037396702 0.0038199557 0.0037074538 0.0038081943 0.0037376247 0.003984618 0.003787228 0.003779046 0.003861377 0.0038552405 0.0038020578 0.0037519431 0.0037498977 0.0038327402 0.0037601253 0.0037468295 0.0038429676 0.003851661 0.0038117738 0.003876207 0.0039012642 0.0038506382 0.0038260922 0.0037279087 0.0038506382 0.003732511 0.0038823434 0.004043937 0.005501861 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010067602 1.8169794e-05 3.0709512e-06 1.0236504e-06 1.0236504e-06 1.0236504e-06 2.559126e-06 1.0236504e-06 5.118252e-07 0.0 0.0 2.559126e-07 8.7010285e-06 0.0 0.0 4.0946015e-06 0.0033516875 3.941054e-05 4.2481493e-05 3.4036377e-05 9.724679e-06 1.3819281e-05 3.3012726e-05 1.5354757e-05 2.8662213e-05 1.3819281e-05 1.9961184e-05 1.663432e-05 1.50988435e-05 1.1516067e-05 1.0236504e-06 2.252031e-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 0.0008951823 9.980592e-06 5.6300773e-06 1.9961184e-05 2.5335348e-05 1.7146145e-05 2.2008484e-05 4.8623397e-06 8.445116e-06 1.0236504e-06 1.0236504e-06 1.279563e-06 7.165553e-06 1.2539717e-05 8.956941e-06 7.677379e-06 0.0008378579 1.4587018e-05 1.2027893e-05 7.93329e-06 3.7875066e-05 2.3288047e-05 2.3288047e-05 1.6122494e-05 2.0728921e-05 2.8150387e-06 3.5827766e-06 4.8623397e-06 5.3741646e-06 9.724679e-06 1.663432e-05 1.1516067e-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 0.0019582433 1.7913883e-06 0.0002500266 3.0709514e-05 7.8309255e-05 5.4765296e-05 0.00088341034 0.000351368 1.0492417e-05 1.5354756e-06 1.0236504e-06 1.7913883e-06 5.118252e-06 1.5354756e-06 6.6537277e-06 3.1989075e-05 0.00058296893 1.279563e-06 6.448998e-05 1.2283805e-05 3.04536e-05 1.9193445e-05 0.00021803754 8.8289846e-05 6.397815e-06 1.0236504e-06 2.559126e-07 1.0236504e-06 3.3268639e-06 1.0236504e-06 2.3032135e-06 1.586658e-05 0.00076236366 8.956941e-06 2.8406299e-05 6.013946e-05 0.00018783985 8.5730724e-05 0.00052513264 0.00027920064 5.5533033e-05 5.118252e-06 4.8623397e-06 1.50988435e-05 9.724679e-06 6.6537277e-06 1.1516067e-05 5.015887e-05 0.00025207392 2.3032135e-06 1.6122494e-05 2.7382648e-05 1.7913882e-05 5.6300773e-06 5.7324425e-05 4.2481493e-05 3.6595502e-05 1.0236504e-06 2.559126e-07 9.468767e-06 5.6300773e-06 0.0 4.0946015e-06 4.5808356e-05 0.00021036016 7.677379e-06 4.5296532e-05 1.279563e-05 1.4587018e-05 1.7402057e-05 0.00010518008 5.1694347e-05 6.397815e-06 7.677379e-06 8.445116e-06 6.1419023e-06 8.189203e-06 5.88599e-06 7.677379e-06 8.7010285e-06 0.0003616045 2.0984833e-05 2.5335348e-05 1.5354757e-05 7.9844736e-05 4.452879e-05 0.00017709153 0.000121558485 3.6595502e-05 1.5610669e-05 4.708792e-05 1.663432e-05 2.1752572e-05 2.1752572e-05 1.5354757e-05 2.7126736e-05 0.0039669015 0.0008355547 0.00035239165 0.00061598164 0.0007779743 0.0012350342 0.00058168935 0.0007761829 0.00195031 0.0001461261 0.00019321401 0.00048418666 0.0011516067 0.00031144565 0.0007078543 0.0021609261 0.0015718152 0.00046704052 0.00034522612 0.00043530733 0.0003490648 0.00042353536 0.0005054274 0.00045194165 0.0006827748 0.00014817339 0.00023364821 0.00021215154 0.00045450078 0.00021036016 0.00030274462 0.00054381427 0.061298747 0.0595373 0.059790652 0.060129225 0.060056034 0.059924494 0.060301457 0.059796795 0.06018655 0.060046054 0.060113616 0.0599442 0.05972207 0.06013511 0.059576456 0.060133066 9237.0 6.0533724 55915.0 0.012447465 0.009961549 0.0098900115 0.009138872 0.0094965575 0.009013682 0.008566574 0.009317715 0.009943664 0.010194045 0.0096932845 0.009478673 0.009353483 0.009657516 0.010301351 0.010211929 0.012679961 0.01017616 0.010569614 0.010998838 0.0096932845 0.0094965575 0.0096932845 0.008852723 0.009138872 0.00942502 0.009836359 0.009246177 0.009764821 0.009103103 0.009156756 0.008960028 0.009854243 0.012250737 0.009872127 0.011893052 0.011982474 0.011124028 0.010390772 0.011106144 0.01005097 0.011320755 0.009156756 0.0094965575 0.010068854 0.010533846 0.010641152 0.009639632 0.0109273 0.009872127 0.010301351 0.0114817135 0.010980953 0.01017616 0.009979433 0.010873647 0.009478673 0.009639632 0.008852723 0.01005097 0.009711169 0.010641152 0.009514442 0.00854869 0.009120987 0.012894572 0.009711169 0.011642672 0.011893052 0.017383529 0.011159796 0.011016722 0.010319235 0.013753018 0.009317715 0.009782705 0.012840919 0.009782705 0.012787267 0.015809711 0.010623268 0.008369847 0.014539926 0.013735133 0.015827596 0.01055173 0.009067334 0.010587499 0.009103103 0.0089957975 0.008781185 0.009764821 0.009067334 0.009353483 0.009156756 0.0093892515 6.5687914 0.0 6.0 0.0 28.0 1955520.0 1961984.0 1.0 0.0 134.0 0.0 1.0 1.0 0.0 0.0 1091599400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 39424.0 1024.0 4096.0 3.0 0.0 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 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 1907200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2479997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.60161 0.0 7.9922986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39212.0 0.0 1908736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40164.0 1837376.0 53248.0 0.0 0.0 6848.0 1879040.0 0.0 0.0 28.0 4656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 560.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19737314 0.0037853883 0.003063176 0.002734445 0.0038351961 0.0018130018 0.0016287132 0.0016436555 0.0033171957 0.0016038093 0.00154404 0.0015888669 0.0024953678 0.00160879 0.0013149244 0.00231606 0.003551292 0.0016835016 0.0013298667 0.0012501744 0.0021467137 0.0013796744 0.0017283286 0.0014245014 0.0021467137 0.0014394438 0.0011356166 0.001409559 0.002824099 0.001499213 0.0015141554 0.0013597513 0.002296137 0.0015041938 0.001499213 0.0015041938 0.002052079 0.0021815791 0.0014743091 0.0012700974 0.0021068675 0.0013547706 0.0013547706 0.0014892515 0.0023310024 0.0013746937 0.0014195207 0.0014593669 0.0061911023 0.0059022172 0.0057478133 0.0061163907 0.0062060445 0.00540414 0.005957006 0.0055436017 0.006360449 0.005648198 0.0013746937 0.0017482517 0.0019773673 0.0013946168 0.001389636 0.0012252704 0.008766162 0.0078497 0.0059022172 0.005244755 0.008975355 0.014758034 0.005010659 0.003063176 0.0027045603 0.0030382723 0.0016187517 0.0017133863 0.0027643298 0.005289582 0.003043253 0.0018926942 0.025103102 0.0018478673 0.0016187517 0.0023011176 0.0027643298 0.0026348296 0.0034915227 0.0021367522 0.003750523 0.0018279442 0.0015739247 0.001653617 0.0025302332 0.001743271 0.0015888669 0.003376965 0.0025053294 0.002978503 0.0022612715 0.0017233479 0.003949754 0.0027892336 0.002385791 0.0015689438 0.003660869 0.0018428864 0.0054091206 0.0016436555 0.0024206564 0.0017382902 0.0021118482 0.0020769828 0.0024754447 0.0015888669 0.003705696 0.0021317713 0.0032823302 0.0044428506 0.0024804256 0.0017183671 0.0024206564 0.0019773673 0.0016436555 0.001280059 0.0017930787 0.0014294822 0.0011405973 0.0013846552 0.0027693105 0.0014145399 0.001125655 0.003551292 0.0020570597 0.017641902 0.001280059 0.001280059 0.0019026557 0.008801028 0.0012950012 0.009921703 0.001942502 0.035219055 0.001389636 0.0012252704 0.0019225789 0.0013298667 0.0013796744 0.0012202897 0.0018926942 0.0023310024 0.0013348475 0.0011555396 0.0017283286 0.0012252704 0.0012999821 0.0011953858 0.0019076365 0.0020919251 0.0011854243 0.0013049628 0.002141733 0.0016585978 0.001190405 0.0011953858 0.0019026557 0.001808021 0.0011455781 0.001190405 0.0018727711 0.0012900205 0.0011306357 0.001324886 0.0017781364 0.0011605204 0.0013049628 0.0011854243 0.0019225789 0.0012153089 0.001190405 0.0013049628 0.001982348 0.00456737 0.001235232 0.001280059 0.0021018868 0.0011704819 0.0040543503 0.0012153089 0.0021666368 0.0018727711 0.0012501744 0.0016187517 0.003112984 0.0012153089 0.001524117 0.0018777519 0.0035612537 0.0012252704 0.001324886 0.003481561 0.0033520611 0.0014444245 0.0012103282 0.0012402128 0.0023559062 0.0013796744 0.0013199052 0.0012551551 0.005453948 0.0012501744 0.0016137708 0.001987329 0.0022861753 0.0012651166 0.0014294822 0.0013348475 0.002734445 0.0011505588 0.0012501744 0.0013846552 0.0025501563 0.0012053474 0.0014444245 0.0012551551 0.002799195 0.0011804434 0.0012451935 0.0011655012 0.0027942143 0.0011804434 0.0012651166 0.0012900205 0.022189349 0.0014145399 0.001190405 0.0014942322 0.0029685413 0.0013199052 0.0012651166 0.0012053474 0.0023708486 0.0011754627 0.0011455781 0.0014394438 0.0019375212 0.0012302513 0.001454386 0.0016884825 0.0023559062 0.0012252704 0.0011804434 0.0023210407 0.010026298 0.0068684877 0.015853804 0.098644234 0.03076923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048702923 0.0 0.0 2.5040065e-06 3.2552085e-05 5.2584135e-05 9.264824e-05 7.76242e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009319912 0.00012520033 9.264824e-05 3.0048077e-05 6.2600164e-05 3.0048077e-05 0.00013020834 8.513622e-05 0.00018279247 1.7528046e-05 2.0032052e-05 2.0032052e-05 2.2536058e-05 1.50240385e-05 4.0064104e-05 6.2600164e-05 0.0 0.0 0.0 0.0 0.0038461538 0.0012820513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044521233 5.7592148e-05 6.510417e-05 4.256811e-05 2.0032052e-05 1.7528046e-05 4.256811e-05 2.2536058e-05 0.00016025642 1.50240385e-05 1.7528046e-05 1.7528046e-05 1.7528046e-05 2.0032052e-05 9.264824e-05 6.7608176e-05 0.003961338 3.505609e-05 4.0064104e-05 4.256811e-05 2.0032052e-05 1.0016026e-05 1.50240385e-05 3.7560098e-05 4.256811e-05 7.5120192e-06 1.0016026e-05 1.7528046e-05 4.5072116e-05 1.0016026e-05 0.00012269632 0.00071113784 0.0033253205 4.0064104e-05 3.2552085e-05 5.7592148e-05 5.508814e-05 3.0048077e-05 0.000102664264 9.264824e-05 9.765625e-05 2.5040065e-06 2.5040065e-06 1.50240385e-05 7.5120195e-05 2.5040065e-06 9.765625e-05 0.0010992588 0.08465545 0.00064352964 0.0008238181 0.034177184 0.020910958 0.0032677283 0.0048652845 0.0040314505 7.76242e-05 8.012821e-05 5.008013e-05 2.5040064e-05 3.2552085e-05 2.2536058e-05 3.0048077e-05 0.0001527444 0.0143755 0.00033303286 0.00037309696 0.003921274 0.00545623 0.0016225962 0.0014147636 0.0016952123 0.00014022437 0.00015775241 0.000102664264 0.000102664264 0.00019030449 0.00022536058 0.00021033654 0.00044821715 0.010038562 0.00031550482 0.00037059296 0.0028420473 0.002276142 0.0008688902 0.0016776843 0.0013571715 1.2520032e-05 3.2552085e-05 9.5152245e-05 7.76242e-05 0.0001176883 6.510417e-05 0.00014773638 0.00021784856 0.0043269233 0.0002353766 0.0002729367 0.00037560097 0.00084134616 0.0006986178 0.0016100762 0.0010391626 0.00011268029 2.754407e-05 8.012821e-05 6.7608176e-05 0.00014022437 7.261619e-05 0.00016025642 0.0001953125 0.013834636 0.0038762018 0.003988882 0.002766927 0.0061222957 0.0104842745 0.0041616587 0.001567508 0.029679988 0.0026191906 0.0016100762 0.0042117387 0.00313752 0.0036032652 0.009835737 0.06260266 0.014312901 0.002353766 0.001993189 0.0032702324 0.006660657 0.007744892 0.004334435 0.0029747596 0.01821915 0.0012119391 0.001174379 0.0028119993 0.0027894631 0.002358774 0.0058143027 0.03479567 0.0069185696 0.0012620193 0.0009915866 0.0013371394 0.008521134 0.008686398 0.002774439 0.0025440706 0.016624099 0.0025365585 0.0020933494 0.003488081 0.0036533454 0.0028044872 0.0064578326 0.021614583 0.008661359 0.0016751803 0.0010466747 0.0026041667 0.008651342 0.0075646034 0.0033653846 0.002819511 0.011460837 0.0013095953 0.0018454527 0.0029071514 0.0041716746 0.0039988984 0.0068334336 0.013136018 0.016969651 0.0169371 0.016649138 0.01704978 0.01659906 0.01720002 0.01653145 0.01659906 0.016486378 0.016614083 0.016291065 0.016541466 0.016646635 0.01655649 0.016368689 0.016626602 508.0 14.230315 7229.0 0.0037349565 0.002489971 0.0013833172 0.0012449855 0.0019366441 0.0013833172 0.0023516393 0.001521649 0.0023516393 0.002489971 0.0017983123 0.0016599806 0.0027666343 0.0027666343 0.0038732882 0.0026283027 0.00802324 0.009683221 0.010789874 0.008991562 0.008991562 0.0055332687 0.009406557 0.006916586 0.006363259 0.005948264 0.0019366441 0.003043298 0.002904966 0.0019366441 0.0012449855 0.0023516393 0.0035966246 0.05367271 0.0087148985 0.010928206 0.09046894 0.011481533 0.010651543 0.04260617 0.0019366441 0.04454281 0.001521649 0.003043298 0.0051182737 0.005948264 0.04108452 0.004426615 0.047309447 0.0019366441 0.003043298 0.008299903 0.0051182737 0.0051182737 0.010928206 0.0016599806 0.03942454 0.0020749758 0.0019366441 0.0033199613 0.003458293 0.0012449855 0.0017983123 0.04979942 0.002489971 0.0370729 0.024761377 0.0073315813 0.012311523 0.027666343 0.0051182737 0.0019366441 0.0037349565 0.013003182 0.005809932 0.0045649465 0.009959884 0.0070549175 0.011758196 0.016323144 0.00802324 0.0027666343 0.039562874 0.012449855 0.02171808 0.0076082447 0.026144695 0.00401162 0.0066399225 0.008438235 0.002904966 0.0026283027 0.0037349565 0.0017983123 0.0017983123 0.0022133074 5.6460123 1.0 0.0 0.0 5.0 200772.0 200704.0 1.0 0.0 98.0 0.0 1.0 0.0 0.0 0.0 1235838100.0 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 2.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 131072.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131072.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5530515 0.0 7.87306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129164.0 0.0 59256.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 131092.0 59256.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 512.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.22890878 0.010521805 0.0059036375 0.012664255 0.0060464675 0.004332508 0.0024281088 0.008046087 0.02332889 0.0067606173 0.0033803086 0.0019996192 0.004522948 0.002190059 0.0014282994 0.0138068935 0.011569225 0.0033326985 0.002475719 0.0026661588 0.004570558 0.0059036375 0.0013806894 0.0009998096 0.0037611884 0.00080936967 0.00061892974 0.0011902495 0.002332889 0.00047609978 0.00038087982 0.00095219957 0.015949342 0.0012854694 0.0018567892 0.0019520092 0.0054751476 0.00061892974 0.00052370975 0.00038087982 0.0019520092 0.00080936967 0.00038087982 0.0039992384 0.0015235193 0.002047229 0.0011426396 0.0014759094 0.011997715 0.0031898685 0.002380499 0.0061416873 0.0029042086 0.002237669 0.0026661588 0.0015711293 0.0026661588 0.0025709388 0.0029994287 0.0056655877 0.0030470386 0.0034279185 0.0031898685 0.0019043991 0.018282233 0.0059036375 0.0021424491 0.0012378595 0.008760236 0.011045516 0.0033326985 0.006236907 0.0041420683 0.0041420683 0.00061892974 0.0005713198 0.002285279 0.008474576 0.004332508 0.0035231384 0.009664826 0.002475719 0.0025233289 0.004189678 0.0016187393 0.0059036375 0.004903828 0.0029994287 0.0039040183 0.0013330794 0.00033326985 0.0015711293 0.0010474195 0.002094839 0.002285279 0.0021424491 0.0038087983 0.0054275375 0.0017139593 0.004046848 0.005094268 0.009617216 0.004808608 0.00080936967 0.0057608075 0.0061892974 0.0036183584 0.0006665397 0.004808608 0.0029994287 0.004760998 0.0055703674 0.0037135785 0.00085697963 0.007236717 0.006998667 0.010474196 0.008284137 0.0031898685 0.0016187393 0.0035231384 0.0010950295 0.0002856599 0.00047609978 0.0011426396 0.0031898685 0.0006665397 0.00085697963 0.0017615692 0.002332889 0.00052370975 0.0129023045 0.004475338 0.005808417 0.00061892974 0.0006665397 0.0019043991 0.015425634 0.0010950295 0.030375166 0.0006665397 0.0052847075 0.00038087982 0.00023804989 0.00047609978 0.00033326985 4.7609978e-05 4.7609978e-05 0.00033326985 0.0002856599 0.00019043991 0.00033326985 0.0002856599 9.5219955e-05 0.00023804989 0.00042848982 0.00038087982 0.00014282994 0.00038087982 0.00023804989 0.00042848982 0.00033326985 0.0007141497 0.00076175964 0.0012378595 0.00019043991 0.00014282994 9.5219955e-05 0.0010950295 0.00019043991 0.00047609978 0.00023804989 0.0002856599 0.00019043991 0.00014282994 0.00014282994 0.0010950295 0.00019043991 0.00019043991 0.00019043991 0.00038087982 0.00023804989 0.0051418776 0.0016663492 0.002618549 0.0005713198 0.00042848982 0.0002856599 0.00038087982 0.00023804989 0.0009045896 0.00023804989 0.006427347 0.0063321274 0.0012378595 0.004951438 0.0012854694 0.00019043991 0.0028565987 0.0056179776 0.004189678 0.002332889 0.002475719 0.0011426396 0.003951628 0.00023804989 0.0019520092 0.0010474195 0.0015235193 0.0012378595 0.0017615692 0.004094458 0.0007141497 0.00023804989 0.0011426396 0.0012378595 0.002618549 0.00042848982 0.00047609978 0.00095219957 0.0010474195 0.00019043991 0.0006665397 0.00038087982 0.004665778 0.0011426396 0.0009998096 0.00038087982 0.0017139593 0.0011426396 0.00042848982 0.00042848982 0.006808227 0.004570558 0.0009045896 0.004475338 0.0035231384 0.00019043991 0.00076175964 0.0005713198 0.0034755284 0.0013330794 0.00042848982 0.0007141497 0.0033803086 0.00061892974 0.0014759094 0.0019043991 0.0053323177 0.0031898685 0.0009045896 0.00095219957 0.0050466578 0.00061892974 0.0014282994 0.024471529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.074398644 0.0050113075 0.0034693668 0.0063219573 0.0023386101 0.002210115 0.0037520558 0.0027240955 0.0009765625 0.00043688322 0.00084806746 0.00053967925 0.0005653783 0.00048828125 0.0006167763 0.0005653783 0.032997534 0.004137541 0.0014134457 0.0029553864 0.0014391447 0.0009765625 0.0033408718 0.0026212994 0.0006167763 0.00025699014 0.00033408718 0.00025699014 0.00046258225 0.00025699014 0.00033408718 0.00023129112 0.028346011 0.002210115 0.0027497944 0.007709704 0.0014391447 0.0016961349 0.003777755 0.0035207649 0.00023129112 7.709704e-05 0.00012849507 7.709704e-05 0.00025699014 0.00010279605 0.00023129112 7.709704e-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 0.02292352 0.0031352795 0.001927426 0.00095086347 0.001953125 0.0012335526 0.009200247 0.0047029196 0.0024414062 0.00028268914 0.0005653783 0.00066817435 0.00087376643 0.0003854852 0.0006424753 0.0007452714 0.014468544 0.0012335526 0.011924342 0.01613898 0.013055098 0.0064247535 0.021407278 0.013646176 0.0015933388 0.0005139803 0.00053967925 0.00053967925 0.0011307566 0.00071957236 0.0007709704 0.0011564556 0.078870274 0.011179071 0.0098941205 0.008557771 0.03145559 0.016575864 0.010767886 0.0135433795 0.045512952 0.0011050575 0.0019017269 0.007735403 0.025827508 0.009996916 0.017398233 0.025467722 0.06491571 0.019145764 0.01197574 0.012464021 0.029810855 0.02004523 0.020379318 0.015727796 0.039216693 0.0014648438 0.002004523 0.005448191 0.020019531 0.00755551 0.014622739 0.030993009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 122.0 23.811476 2905.0 0.073666096 0.00068846816 0.008605852 0.00034423408 0.0013769363 0.00068846816 0.0 0.00068846816 0.00068846816 0.00034423408 0.0 0.00034423408 0.0010327023 0.012736661 0.0055077453 0.0051635113 0.0075731496 0.008950086 0.0075731496 0.008605852 0.008261618 0.0051635113 0.0058519794 0.0075731496 0.0068846815 0.0075731496 0.004130809 0.0027538727 0.009638554 0.008261618 0.011359724 0.0051635113 0.0017211704 0.022719448 0.0013769363 0.0027538727 0.04130809 0.004130809 0.0037865748 0.027538726 0.0034423408 0.025129087 0.00034423408 0.00068846816 0.0037865748 0.0037865748 0.023063684 0.0075731496 0.02616179 0.0010327023 0.0030981067 0.0068846815 0.0020654046 0.00068846816 0.0037865748 0.004130809 0.020654045 0.0 0.0 0.0010327023 0.0034423408 0.00068846816 0.00034423408 0.00068846816 0.0010327023 0.034423407 0.010671256 0.025473323 0.028571429 0.062650606 0.011703959 0.004819277 0.0103270225 0.03717728 0.0020654046 0.0030981067 0.027194493 0.01858864 0.029948365 0.034423407 0.017900173 0.0013769363 0.037521515 0.035111874 0.040619623 0.017211704 0.009638554 0.004130809 0.0061962134 0.0061962134 0.0013769363 0.0017211704 0.0010327023 0.0024096386 0.0 0.00034423408 5.5959873 1.0 0.0 0.0 1.0 21004.0 16375808.0 1.0 0.0 27.0 1.0 1.0 0.0 0.0 0.0 1508828900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 17408.0 1024.0 4096.0 4.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.369633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.387742 0.0 5.2077603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16343040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17320.0 0.0 1064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 20788.0 1064.0 28672.0 0.0 0.0 0.0 0.0 572.0 32768.0 28.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.29278094 0.017427884 0.013559194 0.01156851 0.0119441105 0.0034555288 0.008563702 0.0028545673 0.0064227763 0.0030423678 0.012920673 0.002328726 0.001953125 0.0020282452 0.0052584135 0.0009390024 0.00398137 0.0033052885 0.0071739783 0.0034179688 0.0029672475 0.0042442908 0.0017277644 0.001953125 0.0021784855 0.0021033655 0.0016902044 0.001539964 0.0012770433 0.0009390024 0.0022160457 0.0008638822 0.010028546 0.0010141226 0.001577524 0.0016526442 0.0009014423 0.0009390024 0.0012019231 0.0007136418 0.005934495 0.0010516827 0.0048452523 0.0018028846 0.0030048077 0.0016150841 0.009314904 0.0009014423 0.0046950122 0.0024414062 0.0018028846 0.0024789663 0.0018028846 0.0013897235 0.0013521635 0.0014272836 0.0013897235 0.0016150841 0.00048828125 0.0005258414 0.001539964 0.0008638822 0.001577524 0.00037560097 0.0014272836 0.002704327 0.0022536058 0.0048076925 0.0029296875 0.0029296875 0.0037560095 0.0019155649 0.0010141226 0.0040564905 0.00033804087 0.0011268029 0.00067608175 0.0026292067 0.0018780048 0.0031926082 0.002779447 0.00033804087 0.002328726 0.013070913 0.003117488 0.0010892428 0.0016902044 0.0006385216 0.0005258414 0.00041316106 0.00041316106 0.00045072116 0.002741887 0.00056340144 0.00011268029 0.011831431 0.0008638822 0.018592248 0.005483774 0.018780049 0.0105919475 0.05517578 0.0025916467 0.01153095 0.0044696513 0.02336238 0.002741887 0.004206731 0.008976863 0.009014423 0.023888221 0.027944712 0.0098407455 0.00048828125 0.025353065 0.024864784 0.03538161 0.012131911 0.0055213342 0.0013146034 0.0029296875 0.0044696513 0.0010516827 0.001577524 0.0009765625 0.0016902044 0.0028921275 0.00033804087 0.004356971 0.0049579325 0.0017653245 0.0037560095 0.00018780048 0.00033804087 0.0022911658 0.00037560097 7.5120195e-05 0.0006385216 0.00015024039 0.00018780048 0.00018780048 0.00033804087 7.5120195e-05 0.00045072116 0.00030048078 0.00037560097 3.7560098e-05 0.0010892428 0.00015024039 0.00030048078 0.00033804087 0.00022536058 0.00011268029 0.00041316106 0.00022536058 0.00045072116 0.00041316106 0.00022536058 0.00015024039 7.5120195e-05 0.00067608175 0.00060096156 0.0002629207 0.00018780048 7.5120195e-05 0.00022536058 0.00015024039 0.00022536058 0.00011268029 0.0007136418 0.00015024039 0.0 0.0002629207 0.0005258414 0.00022536058 0.00022536058 0.00015024039 0.00056340144 0.00015024039 7.5120195e-05 0.00018780048 0.00033804087 0.00015024039 0.0011268029 0.00022536058 0.00033804087 0.00015024039 3.7560098e-05 0.00022536058 0.00011268029 0.0002629207 0.00022536058 0.0006385216 0.00056340144 0.00022536058 0.00030048078 0.0 0.0002629207 0.00045072116 0.00033804087 0.00045072116 0.0008263221 0.00015024039 7.5120195e-05 0.00015024039 0.00015024039 0.0005258414 0.00018780048 0.00048828125 0.00037560097 0.0 3.7560098e-05 0.00045072116 0.0002629207 0.0 0.00018780048 0.00018780048 0.00018780048 0.00015024039 0.00011268029 0.00037560097 0.00022536058 0.00075120194 0.00015024039 0.00045072116 0.00041316106 0.00015024039 0.00030048078 3.7560098e-05 0.00022536058 0.00037560097 3.7560098e-05 0.00011268029 0.00033804087 0.00015024039 0.00011268029 0.0002629207 0.00011268029 0.00011268029 0.00015024039 0.0 0.00041316106 3.7560098e-05 0.0009014423 0.00011268029 7.5120195e-05 0.00030048078 0.00033804087 7.5120195e-05 0.00022536058 0.00045072116 7.5120195e-05 0.00011268029 0.00011268029 0.00030048078 0.0002629207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030234374 0.0 0.0011523437 0.0007421875 0.0005859375 0.00044921876 0.004628906 0.0020898439 1.953125e-05 3.90625e-05 3.90625e-05 1.953125e-05 0.0 0.0 0.0 0.0 0.026679687 0.0001171875 0.0013085938 0.000859375 0.0011328125 0.0007421875 0.006230469 0.0025585936 0.0001171875 3.90625e-05 1.953125e-05 5.859375e-05 0.0 3.90625e-05 5.859375e-05 3.90625e-05 0.035683595 0.0019726562 0.006582031 0.0024804687 0.014726562 0.0165625 0.10552734 0.0553125 0.0003125 7.8125e-05 0.00013671875 0.0001171875 0.0001171875 0.000234375 7.8125e-05 7.8125e-05 0.06949219 0.00546875 0.01125 0.0029101563 0.005019531 0.0053320313 0.034394532 0.02359375 0.0011914063 9.765625e-05 0.00015625 3.90625e-05 0.0001953125 0.00056640623 7.8125e-05 0.00021484375 0.050488282 0.0042578126 0.004140625 0.0043164063 0.0034765624 0.0066015627 0.024335938 0.014902344 0.0024414062 0.0009960937 0.000390625 0.0007617187 0.0009375 0.00060546875 0.0005273438 0.0008203125 0.14199218 0.02484375 0.015976563 0.011386719 0.010800782 0.010917969 0.042207032 0.027148437 0.014101562 0.0033398438 0.003359375 0.0030078124 0.003671875 0.002265625 0.0024804687 0.0025 0.024648437 0.0056640627 0.006171875 0.0038085938 0.0030664064 0.00296875 0.01876953 0.0096875 0.0025390624 0.00041015624 0.0005859375 0.00041015624 0.00048828125 0.00029296876 0.000234375 0.00025390624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 379.0 25.174143 9541.0 0.013730217 0.00010481082 0.0 0.0005240541 0.00020962163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013625406 0.0010481082 0.01792265 0.00010481082 0.0037731894 0.0038780002 0.002305838 0.0024106489 0.0032491353 0.0017817839 0.002305838 0.0025154597 0.0019914056 0.002305838 0.00010481082 0.0 0.0033539461 0.0007336757 0.0033539461 0.0 0.00010481082 0.0049261083 0.0048212977 0.01027146 0.005240541 0.0048212977 0.0079656225 0.0027250813 0.001152919 0.006812703 0.00041924327 0.00094329735 0.0005240541 0.0047164867 0.0031443245 0.0066030812 0.0025154597 0.0 0.005554973 0.028822975 0.006183838 0.0012577298 0.001152919 0.00041924327 0.00041924327 0.0 0.0 0.0 0.006183838 0.0 0.0 0.030709568 0.00083848654 0.040142544 0.0132061625 0.04098103 0.022324704 0.13038465 0.0053453515 0.027879678 0.009432973 0.052195787 0.006288649 0.010061839 0.020438109 0.020123677 0.05282465 0.051986165 0.018446704 0.00031443246 0.055549733 0.05879887 0.08479195 0.02829892 0.012262866 0.0024106489 0.00513573 0.00901373 0.0007336757 0.00041924327 0.0014673515 0.00041924327 0.0 0.0 4.980091 1.0 0.0 0.0 1.0 26624.0 49152.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1539351000.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 23552.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7050104 0.0 3.3919275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23204.0 0.0 1588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 31308.0 1588.0 32768.0 0.0 0.0 0.0 0.0 12.0 40960.0 28.0 30996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.10761963 0.0037915786 0.00363493 0.0036693634 0.0037712094 0.0035102898 0.003430268 0.003532599 0.003929798 0.0034651866 0.0034268731 0.003455972 0.003661119 0.0034084439 0.0034118388 0.004052983 0.0036722734 0.003430753 0.003429783 0.003434148 0.003605346 0.003407474 0.0034195986 0.0034137787 0.0035791572 0.003456457 0.0034962255 0.0033754653 0.0033643106 0.0033866197 0.0034525772 0.003433663 0.00350447 0.0034244482 0.0035384188 0.003506895 0.0036407497 0.0034229932 0.003456942 0.0034268731 0.0035258092 0.003427358 0.0034753713 0.003456942 0.0034690665 0.003402624 0.0036198955 0.0033900146 0.0034860407 0.0034525772 0.0034826458 0.0034981654 0.0034530621 0.003433663 0.0034608217 0.0033972894 0.0035146547 0.0034855558 0.0034680965 0.0035088349 0.003431238 0.0034642166 0.0033972894 0.0034375428 0.0038434716 0.0035035 0.0034191136 0.003455972 0.0034195986 0.003731926 0.0036252302 0.0035738223 0.0035161097 0.003406989 0.0034147487 0.0034453024 0.0034845858 0.0035262941 0.0034433624 0.0034428774 0.0036751833 0.0034724614 0.0035195046 0.0035665475 0.0035738223 0.00350156 0.0035796422 0.003555393 0.0035146547 0.0034841008 0.003458397 0.003455487 0.0034613067 0.003505925 0.0034855558 0.0035001053 0.0034622767 0.0035195046 0.0035859467 0.0035258092 0.0035534531 0.0037159217 0.0039729616 0.0034894357 0.0035529681 0.0035505432 0.0036751833 0.0033672205 0.0035704274 0.0035636376 0.0035743073 0.003527264 0.0035136847 0.003401654 0.003655299 0.0035161097 0.003857051 0.0037765442 0.0034511222 0.0034642166 0.0034530621 0.003406019 0.003432208 0.003433663 0.0034938005 0.0034967104 0.0034705214 0.0034259032 0.0035214443 0.0034453024 0.0034254182 0.0038507462 0.0035364788 0.0036373548 0.0035384188 0.0034486973 0.0035219293 0.003832802 0.003457427 0.0042940187 0.0034661565 0.0036533591 0.003530659 0.0034826458 0.003404564 0.0035102898 0.0034370578 0.0034089289 0.0033846798 0.003403594 0.0035088349 0.0033997144 0.0032871987 0.003433663 0.0034889507 0.0034428774 0.0033890447 0.0034462723 0.003529689 0.0034472423 0.0033744953 0.003481191 0.0034191136 0.0033783752 0.0034491823 0.0034094139 0.0034423925 0.003400684 0.0034263881 0.003404079 0.0033769202 0.003456457 0.0033817699 0.003407959 0.003402139 0.0033841948 0.0035224142 0.0033982594 0.0033652806 0.003429783 0.003427358 0.0034462723 0.0034952555 0.003403109 0.0035224142 0.003434148 0.0034971954 0.003430268 0.0034496672 0.0034710064 0.0034511222 0.0034268731 0.0035810971 0.003531144 0.0034520922 0.0034850708 0.003507865 0.003402139 0.0035418135 0.0035083499 0.003458397 0.0034705214 0.0035486033 0.0034841008 0.0034259032 0.0033977744 0.003456942 0.003455487 0.0034787662 0.0034225082 0.0034409375 0.0034826458 0.0033934095 0.003430753 0.0034647016 0.0034714914 0.0034729464 0.0034530621 0.0034394828 0.0034690665 0.0035175646 0.0033788602 0.003402624 0.0034540321 0.0034268731 0.003428328 0.0033904996 0.0034748863 0.0034627616 0.0033880747 0.003402624 0.0034967104 0.0038221325 0.0034782812 0.0035403587 0.0035859467 0.0036218355 0.0033517012 0.003460337 0.0035641226 0.0035747923 0.0034802211 0.0034540321 0.0035471483 0.0034870107 0.0034535471 0.0034530621 0.003433663 0.0035151397 0.003427843 0.0034365728 0.0034394828 0.003558788 0.0034676115 0.0035510282 0.004406534 0.096915334 2.426845e-07 0.0 2.426845e-07 2.426845e-07 4.85369e-07 2.426845e-07 2.426845e-07 4.85369e-07 0.0 2.426845e-07 0.0 0.0 2.426845e-07 4.85369e-07 0.0 0.00048027266 0.0 4.8536904e-06 2.426845e-07 9.70738e-07 2.1841606e-06 4.611006e-06 3.3975832e-06 2.426845e-07 0.0 0.0 0.0 0.0 2.426845e-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 0.0017097124 2.742335e-05 2.1598922e-05 2.208429e-05 2.03855e-05 6.7466295e-05 2.3055029e-05 1.7473285e-05 1.6017178e-05 7.765904e-06 8.008589e-06 7.52322e-06 1.1406172e-05 7.52322e-06 8.251273e-06 1.23769105e-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 0.00030990812 0.0 3.980026e-05 5.581744e-06 4.8536904e-06 3.1548986e-06 8.008589e-05 5.3390595e-05 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.00026986518 4.85369e-07 2.5967243e-05 7.52322e-06 1.1891541e-05 8.7366425e-06 0.00011551783 5.5089386e-05 7.280536e-07 0.0 0.0 0.0 0.0 4.85369e-07 0.0 7.280536e-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 0.0006819435 1.7473285e-05 4.4653953e-05 2.9122142e-05 0.00011017877 5.9700393e-05 0.00023540398 0.00013930092 1.6017178e-05 1.5774494e-05 1.8686707e-05 1.8686707e-05 1.5289124e-05 1.820134e-05 5.6302808e-05 1.4318387e-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 0.0013760212 6.309798e-05 7.693099e-05 7.5960255e-05 0.00017449017 0.00012886547 0.0002696225 0.00018104265 9.0521324e-05 5.581744e-05 5.266254e-05 6.770898e-05 6.989314e-05 0.0001082373 0.00011309099 7.814442e-05 0.0006462689 7.7173674e-05 0.00010386897 5.047838e-05 9.464696e-05 7.9115154e-05 0.00058195746 0.00016915111 6.819435e-05 2.9850196e-05 2.0628184e-05 2.1841606e-05 8.1542e-05 0.00011309099 0.00017934386 0.00016793769 0.0035883333 0.00054021575 0.0003885379 0.00040698194 0.0008719655 0.0009248707 0.000530023 0.0007899381 0.002101648 0.00019657446 0.00013978628 0.00035795965 0.00073630485 0.00029680316 0.0007474683 0.0012990902 0.0009025437 0.00020506841 0.00017546091 0.00016526815 0.00031306304 0.00034825227 0.00021040748 0.0002943763 0.00060768204 3.179167e-05 4.732348e-05 8.348347e-05 0.000294619 0.00010945072 0.00022691002 0.00045746032 0.054792583 0.054430496 0.054810543 0.05461494 0.05465959 0.054686043 0.05516195 0.054554753 0.05474647 0.054597463 0.054308426 0.05462076 0.054503303 0.054527815 0.054574896 0.054664444 8770.0 5.8442416 51254.0 0.010789402 0.009813868 0.010360167 0.009813868 0.010282124 0.010282124 0.009404144 0.009833379 0.009774847 0.009072463 0.010340656 0.009443166 0.010652827 0.009443166 0.011413744 0.009716315 0.0095016975 0.0098919105 0.01014555 0.01016506 0.01014555 0.00957974 0.00899442 0.009813868 0.009969953 0.010282124 0.010087018 0.0095016975 0.009170016 0.00928708 0.00928708 0.010321146 0.010301635 0.010438209 0.009365123 0.010574784 0.008974909 0.00957974 0.010828423 0.010847934 0.009989465 0.009911422 0.0092675695 0.010477231 0.010789402 0.009755336 0.009696804 0.010047996 0.009443166 0.009969953 0.011511297 0.010126039 0.010321146 0.0096577825 0.009540719 0.010535763 0.009969953 0.0096577825 0.010438209 0.010067507 0.009638272 0.010126039 0.009696804 0.011550318 0.009755336 0.012838023 0.010418699 0.011803957 0.012057596 0.016388964 0.010925977 0.011355211 0.010496742 0.012896555 0.010379678 0.0094236545 0.012525852 0.011374722 0.014008663 0.012564873 0.01131619 0.009091973 0.014418387 0.012838023 0.013774535 0.010477231 0.01073087 0.010360167 0.009228548 0.011277169 0.010126039 0.009755336 0.008779802 0.009248058 0.010067507 0.009618761 6.5750713 1.0 0.0 0.0 32.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1442778200.0 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 9.0 0.0 5.0 0.0 5.0 0.0 166400.0 1024.0 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 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.662976 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.1916956 0.0045810277 0.0040362324 0.002991853 0.0039876304 0.0012715658 0.0013269495 0.0008759675 0.0069320113 0.0008002387 0.002822311 0.0010884603 0.00406788 0.0018208822 0.0007652 0.002589473 0.01083374 0.0028426559 0.005915889 0.0023001211 0.0028889973 0.015553792 0.0005787037 0.00035377784 0.0018310547 0.004050926 0.00028935185 0.00061600294 0.0023487231 0.00076859083 0.00044307002 0.00031647857 0.005910238 0.00023057725 0.0003673412 0.0013540762 0.0017609773 0.0010229041 0.00088614004 0.0004679362 0.00221535 0.0003153483 0.00023622866 0.00037186235 0.0012602629 0.000386556 0.0007595486 0.0002452709 0.0018118399 0.0005493164 0.00048828125 0.000994647 0.0014207629 0.0005289714 0.0003153483 0.00031308774 0.0014478895 0.00050636573 0.00036621094 0.0007188585 0.0020525898 0.0008895309 0.00023622866 0.00025318286 0.018490262 0.0010421188 0.0010658547 0.008331299 0.002847177 0.011982106 0.0009211787 0.0011268898 0.003089057 0.0009177879 0.0010602033 0.0012738263 0.002001727 0.013937491 0.00047471788 0.00041707358 0.01510281 0.008707683 0.008499711 0.0015778719 0.0019791215 0.0048669884 0.0019621672 0.0013133861 0.0017146358 0.00025544342 0.0003379539 0.0006261755 0.0010127315 0.0014716254 0.0005493164 0.0011223687 0.002057111 0.003995542 0.001345034 0.0018344455 0.0034993489 0.0031580043 0.0026188602 0.00061035156 0.009429932 0.0016920301 0.0061306423 0.0004204644 0.0024425366 0.0018920898 0.0014230234 0.0066867406 0.0020424172 0.00058887625 0.0025318286 0.002102322 0.0034767434 0.0020480687 0.00079684786 0.0026075575 0.001517967 0.00058548537 0.00037299262 0.0003910771 0.0013348615 0.003648546 0.00037186235 0.0017304597 0.007804588 0.0006792987 0.0003209997 0.0050229672 0.0025747793 0.01828229 0.0015213578 0.0026165997 0.0037593136 0.013501203 0.000386556 0.025588425 0.001308865 0.026151303 0.00038768628 0.000350387 0.0036304614 0.0013699002 0.0010681152 0.00038316514 0.0025759097 0.0065126773 0.00044872143 0.00032891167 0.0014071994 0.0015575268 0.0004035102 0.0005380136 0.0017293295 0.0009121365 0.0003910771 0.00038768628 0.0024142796 0.0021373609 0.00032552084 0.00039898907 0.0016908998 0.00032891167 0.00047584815 0.00044533057 0.001872875 0.00025318286 0.00035377784 0.0003978588 0.0015857838 0.00028822158 0.00032439057 0.00022153501 0.0020458081 0.00023735894 0.00019779912 0.00025657372 0.0024199309 0.00064539025 0.00024301035 0.00042837637 0.0038892957 0.00085675274 0.0007889359 0.00041142217 0.0017146358 0.0020978008 0.0003040455 0.004614936 0.013435646 0.0005662706 0.0006713867 0.0011641891 0.0031670465 0.00028822158 0.0003334328 0.011293764 0.0032800746 0.00049280236 0.00028822158 0.0002452709 0.0029172543 0.00023735894 0.00025657372 0.0003040455 0.0033851906 0.0002803096 0.00045098198 0.0011393229 0.0021373609 0.00020232024 0.0010737666 0.0014241537 0.0026595504 0.0004328975 0.00026561596 0.0031794796 0.0020718044 0.00044533057 0.00037186235 0.0003571687 0.0026505082 0.00040237993 0.002883346 0.0003402145 0.0018310547 0.00059452764 0.0003085666 0.0003040455 0.0033139829 0.0011246293 0.00023735894 0.0026889378 0.00269798 0.0002746582 0.00027239765 0.00026787652 0.0022549098 0.0004159433 0.00062391494 0.001051161 0.0012195728 0.0004803693 0.000587746 0.0012353967 0.0014976219 0.0010002984 0.0010568125 0.0017248084 0.0065771034 0.007177282 0.012218334 0.20356807 0.0059527312 0.0 0.0 0.0 0.0 5.657952e-07 1.9237037e-05 2.2631807e-06 2.2066013e-05 3.9605664e-05 4.5263614e-06 5.657952e-07 4.5263614e-06 2.828976e-06 9.618519e-06 0.02175143 0.00011881699 7.3553374e-06 2.2631807e-06 2.2631807e-06 4.5263614e-06 2.2631807e-06 7.921132e-06 1.2447495e-05 9.052723e-06 1.5842264e-05 5.657952e-07 3.394771e-06 4.5263614e-06 1.414488e-05 9.618519e-06 0.004419992 0.00015729107 1.6973855e-06 3.394771e-06 2.2631807e-06 4.5263614e-06 5.657952e-07 2.489499e-05 1.6973855e-06 2.828976e-05 0.00011598801 1.8105446e-05 1.5842264e-05 1.3579084e-05 1.414488e-05 2.828976e-05 0.004204424 0.004466953 2.1500216e-05 5.6013723e-05 4.5263616e-05 0.00025573943 3.621089e-05 7.3553376e-05 0.00021783116 0.00012786972 0.0002681869 5.997429e-05 4.978998e-05 0.0010291814 5.148736e-05 8.6566666e-05 0.0082176095 0.004009225 4.978998e-05 7.12902e-05 2.7158168e-05 0.00029930566 6.676383e-05 9.788257e-05 0.00041755685 0.00016860697 0.00043792548 0.000117119605 6.0540086e-05 0.0035599833 7.694815e-05 0.00015446209 0.0077666705 0.003823644 0.00011655381 0.00015163311 0.00010523791 0.00023763398 8.20403e-05 0.00029987146 0.000328727 0.00032024007 0.00031458214 0.0002234891 7.751394e-05 0.0015791344 7.977712e-05 0.00018501503 0.009456135 0.014053221 0.0008503902 0.0010246551 0.00031401633 0.0009827863 0.00033947712 0.0011525248 0.00089678535 0.0006597172 0.0005669268 0.00043057013 0.00042604379 0.00030326622 0.00015955424 0.0003027004 0.012299822 0.024340509 0.0007061124 0.002452722 0.0009511017 0.0019785857 0.0007604287 0.0044663874 0.0026292503 0.0010167339 0.00063142745 0.00058107165 0.00047696536 0.00045999148 0.00023763398 0.0004118989 0.012360361 0.012614404 0.00058107165 0.0013126448 0.00053580804 0.0008430348 0.0005499529 0.0028657527 0.0021075872 0.00067895424 0.0005465582 0.00030100305 0.0019248353 0.0017726363 0.00017313333 0.00030156883 0.00881226 0.012836761 0.00069932285 0.00091149606 0.0006365196 0.0014054353 0.0009941021 0.0036386289 0.0023078786 0.0010371025 0.0005063867 0.00052222895 0.0012141964 0.0011802488 0.00023876557 0.00041982002 0.0062135626 0.012621193 0.00069932285 0.0009205488 0.0008707588 0.0023588003 0.00091036444 0.004313057 0.0017856496 0.0027972914 0.00074798125 0.0007943764 0.001008247 0.00067216466 0.00041585945 0.0005273211 0.009113263 0.016792802 0.0012888814 0.0012108017 0.00092450937 0.0039945142 0.0011853409 0.005130631 0.0036386289 0.004188582 0.0013183028 0.0014190143 0.0010897216 0.0011977884 0.00083002157 0.00096241763 0.010447974 0.031618334 0.00938824 0.0027503304 0.0018354396 0.010416855 0.00879755 0.005502924 0.0036759714 0.025502652 0.0049716425 0.0023769056 0.0039164345 0.0061897994 0.0027661726 0.0035158512 0.041317195 0.07101975 0.030125199 0.0058231642 0.005016906 0.035836335 0.028351432 0.016719248 0.006276932 0.059720814 0.010525488 0.005210408 0.009019341 0.017069476 0.010610923 0.009848231 0.07511836 0.016445968 0.007447562 0.0011095244 0.0016368455 0.0104298685 0.009075355 0.004962024 0.0018642951 0.014105274 0.0026564084 0.0014705017 0.0018863612 0.003945856 0.0042276215 0.0034507848 0.011461879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2204.0 8.90971 19637.0 0.010184855 0.000560167 0.0038702448 0.03921169 0.0010184855 0.00035646994 0.0015277283 0.00030554566 0.010694098 0.001120334 0.00091663696 0.0009675612 0.0038193206 0.0006110913 0.004023018 0.0013749554 0.0014258798 0.0026480623 0.0039211693 0.0017314254 0.00667108 0.00076386414 0.0013749554 0.000560167 0.0054488974 0.0026480623 0.0029026838 0.001120334 0.0013240312 0.00076386414 0.0006110913 0.0004073942 0.002597138 0.010439477 0.0028517595 0.015735602 0.01227275 0.004786882 0.00560167 0.0038193206 0.01227275 0.0052961246 0.000560167 0.0017823497 0.010846871 0.009013597 0.0026480623 0.003717472 0.0133930845 0.002800835 0.008249733 0.013494933 0.018994754 0.0032591536 0.009675613 0.002953608 0.032285992 0.0004073942 0.00045831848 0.00015277283 0.0038702448 0.00035646994 0.0008147884 0.027142638 0.0012221826 0.045169834 0.022712227 0.012069053 0.011508887 0.047766972 0.004430412 0.005347049 0.062585935 0.02668432 0.0474105 0.0038702448 0.031114733 0.016805012 0.020471558 0.028670367 0.017314253 0.0020878953 0.03885522 0.040077403 0.040332027 0.010694098 0.015582829 0.0058053676 0.006263686 0.0043285633 0.00010184855 0.0006620156 0.0034628508 0.045577228 0.0006620156 0.022915924 5.594494 8.0 0.0 0.0 1.0 884736.0 905216.0 0.0 0.0 145.0 0.0 1.0 0.0 0.0 0.0 1217229800.0 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 5.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 872448.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -872448.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6005764 0.0 5.3501916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -872368.0 0.0 3060.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 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 -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 0.0 0.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 873188.0 3060.0 901120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 812.0 4096.0 0.0 0.0 0.0 0.0