Input: 0.007711678 0.0040147123 0.004100278 0.0039731218 0.003964537 0.0039683525 0.0038799252 0.0039583365 0.003912644 0.003900148 0.0039135027 0.0039119762 0.003912358 0.0039011973 0.0038855532 0.0039136936 0.004319581 0.0038916583 0.0039021512 0.003877445 0.0038850761 0.0039195125 0.0038560773 0.0038485415 0.003897477 0.0038858394 0.003889655 0.0038549327 0.0038719124 0.0038722937 0.0038663796 0.00389328 0.003978464 0.0038899411 0.0038671428 0.003855505 0.0039187493 0.0038637086 0.003855505 0.0038535972 0.0038845039 0.0038566499 0.003903773 0.003884027 0.0038726754 0.0038926122 0.0038370946 0.0038765864 0.0038778265 0.0038913721 0.0038805928 0.0038785897 0.0038453937 0.003844726 0.0038394795 0.0038235493 0.0038349961 0.0038876517 0.0038656164 0.0038746786 0.0038788759 0.003862564 0.0038715308 0.0038571267 0.0040692757 0.003961389 0.003868383 0.0038784943 0.003909878 0.003925331 0.0038985263 0.0038545511 0.0038606562 0.0039034865 0.0038299405 0.0038163948 0.0038806882 0.0039208476 0.0038927074 0.0038500677 0.00398972 0.0038408148 0.0038825006 0.0039298143 0.0038711492 0.0038995757 0.0038819283 0.0038970956 0.003872103 0.003858176 0.0038837409 0.003895474 0.0038760141 0.0039061576 0.003866189 0.0038722937 0.0038805928 0.0038948061 0.0038516894 0.0038740109 0.0039405935 0.00393964 0.0038863162 0.0038723892 0.003910164 0.0039224694 0.003907207 0.0038961417 0.0039091147 0.0038610378 0.0039156014 0.0038905134 0.0038963323 0.0038514032 0.003930864 0.0039042498 0.0039519453 0.0039174138 0.0038535972 0.0038562682 0.0038854578 0.0038745832 0.0038590345 0.0038399564 0.0039005296 0.0038982402 0.0038574128 0.0038864117 0.004219898 0.0039309594 0.0038793527 0.0039507053 0.0038421503 0.003929242 0.0038883195 0.0038790666 0.0038316573 0.0039718817 0.0038492093 0.004141296 0.0038527388 0.003917509 0.0038821192 0.0038584622 0.003932962 0.0038506403 0.0038648534 0.003877922 0.0038604655 0.003850831 0.0038894643 0.0038716262 0.0038904182 0.0038712446 0.003842818 0.0038590345 0.0038566499 0.0038934706 0.003895474 0.0038505448 0.0038738202 0.0038701952 0.003931722 0.0039059669 0.0038617055 0.003893566 0.0038784943 0.003838144 0.0038335652 0.0038570312 0.0038726754 0.0038734386 0.0038958553 0.0038850761 0.0038335652 0.0038338513 0.003875537 0.0038933752 0.0038886056 0.003874297 0.003907779 0.0038279372 0.0038722937 0.0038701952 0.0038656164 0.0038549327 0.0038646625 0.0038809744 0.0038636134 0.0038346145 0.0038875565 0.003914552 0.003960721 0.003878685 0.0038596068 0.0039549023 0.0038606562 0.0038524526 0.0038802114 0.003882787 0.0039069206 0.0038836454 0.0038563637 0.0038667612 0.0038665703 0.003863995 0.0038978586 0.003845203 0.00385913 0.0039032004 0.0038745832 0.0038641857 0.003863518 0.0038808791 0.0038797343 0.0038751555 0.0039017696 0.0038767771 0.003927334 0.0038897505 0.0038333745 0.0038414826 0.0038691459 0.0038685736 0.0038648534 0.0038660935 0.003839384 0.0038985263 0.003913884 0.003849591 0.0038858394 0.0038535972 0.004032264 0.0038680013 0.0038571267 0.0039305775 0.0038924213 0.0038629456 0.0038279372 0.0038477783 0.003934393 0.003846443 0.0038854578 0.0038710537 0.0038933752 0.0038507355 0.0038826915 0.0038820237 0.0038768726 0.0039015787 0.003893089 0.0038806882 0.0038680013 0.0038997664 0.0038853623 0.004515228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0014335e-05 7.680078e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.761172e-05 2.0082689e-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 0.00012574339 6.89299e-05 4.770235e-08 4.770235e-08 4.770235e-08 9.54047e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 4.770235e-08 0.0008988554 0.00043571327 2.194308e-06 2.2420104e-06 3.4345692e-06 2.194308e-06 4.2932115e-06 1.2879634e-06 0.0001969153 9.0634467e-07 1.8126893e-06 2.8144386e-06 1.8603916e-06 8.586423e-07 1.7649869e-06 5.9627937e-06 0.0002556846 1.6695823e-06 1.6218798e-06 1.7649869e-06 7.680078e-06 8.777232e-06 3.148355e-06 2.3851176e-06 8.457626e-05 5.9627937e-06 7.632376e-07 6.4875194e-06 1.1925588e-06 1.0017493e-06 1.0494517e-06 7.0122455e-06 0.0005023534 9.54047e-06 8.968042e-06 1.04468145e-05 4.1071722e-05 5.3903655e-06 1.1591671e-05 7.0122455e-06 5.7719844e-06 3.1006527e-06 1.135316e-05 2.5425352e-05 2.8144386e-06 1.908094e-06 3.816188e-06 3.329624e-05 0.0003407856 3.4345692e-06 2.4423603e-05 2.719034e-06 1.27842295e-05 1.0733029e-05 6.630627e-05 3.7875667e-05 2.02735e-05 2.6761018e-05 5.3903655e-06 8.872637e-06 6.29671e-06 8.061697e-06 1.3833682e-06 1.0065196e-05 0.00020144702 1.4787728e-06 1.1019243e-05 4.006997e-06 2.1275247e-05 2.3898878e-05 6.382574e-05 3.04341e-05 2.3040235e-05 1.908094e-06 1.097154e-06 1.2402611e-06 1.4310705e-06 1.3833682e-06 1.3356658e-06 1.9557963e-06 0.00035834004 3.04341e-05 4.1167128e-05 1.9414856e-05 2.7953576e-05 2.4041985e-05 0.00010294167 4.808397e-05 9.063447e-06 3.8495797e-05 2.5329948e-05 1.0923838e-05 6.8691384e-06 4.3409136e-06 4.0546997e-06 3.0100182e-05 0.0004532677 2.2181592e-05 4.608047e-05 2.9336945e-05 6.024807e-05 1.951026e-05 9.5357e-05 5.6193367e-05 1.3165848e-05 3.310543e-05 2.0798225e-05 1.9462559e-05 1.6505013e-05 2.618859e-05 1.7602168e-05 4.7940863e-05 0.00017473371 1.43584075e-05 1.3499765e-05 6.7737337e-06 9.158851e-06 5.915091e-06 2.3087938e-05 1.6171096e-05 8.395614e-06 1.1830182e-05 3.3010027e-05 1.5407859e-05 1.2927337e-05 9.6835765e-06 6.916841e-06 2.8907623e-05 0.00029923682 5.07553e-05 2.9718563e-05 2.270632e-05 5.643188e-05 3.186517e-05 2.6140888e-05 2.375577e-05 2.9193838e-05 2.4185092e-05 5.2901905e-05 5.547783e-05 4.7368434e-05 5.538243e-05 4.26459e-05 0.00012917796 0.0004674353 7.403405e-05 7.560822e-05 6.463668e-05 0.00014291624 0.000101558304 8.562572e-05 9.106378e-05 0.00018103041 3.7494046e-05 4.932423e-05 5.523932e-05 0.00011238673 7.346162e-05 9.2494854e-05 0.0002495787 0.00070208317 0.00010628084 0.000113245376 0.00014024491 0.00024609643 0.00027218962 0.00014515825 0.0001625219 0.00047234868 6.0152663e-05 5.1327726e-05 9.144541e-05 0.00023541109 0.0001236445 0.00022367631 0.0004688664 0.061839037 0.0616872 0.061725076 0.06151323 0.06169335 0.06171935 0.061725553 0.061688155 0.061784275 0.061715726 0.061687678 0.06168653 0.06167451 0.0617069 0.06169722 0.06175594 48500.0 5.672392 275111.0 0.011319067 0.010203155 0.010490311 0.0101413615 0.010577548 0.0099777905 0.010174075 0.010323106 0.010461232 0.010188615 0.01051939 0.010075933 0.010246773 0.010646611 0.01016317 0.010399438 0.0102285985 0.010246773 0.01019225 0.010057759 0.010403073 0.010108647 0.010275852 0.010090472 0.010028679 0.010381265 0.010297662 0.010235868 0.010257678 0.010144996 0.010134092 0.010323106 0.010497581 0.010366725 0.010261313 0.010439423 0.01070477 0.010279487 0.010428518 0.0105593745 0.010166805 0.010621168 0.009712444 0.010112282 0.010606628 0.010853801 0.010312201 0.0101413615 0.010621168 0.01035582 0.010428518 0.0107229445 0.010250408 0.01053393 0.010330375 0.010632073 0.010403073 0.010464867 0.0103958035 0.010381265 0.00998506 0.010453962 0.010392169 0.0098941885 0.010366725 0.010766563 0.010224964 0.010632073 0.010406708 0.011729811 0.0102285985 0.010668421 0.010461232 0.011210021 0.0104757715 0.010911959 0.010861071 0.0103849 0.010959213 0.010915594 0.010290392 0.010286757 0.011460829 0.011068259 0.010864706 0.010777468 0.010181345 0.010297662 0.0101413615 0.010217694 0.009945077 0.010403073 0.010344915 0.010584818 0.010130457 0.01017771 6.584253 0.0 1.0 0.0 170.0 10483192.0 204800.0 0.0 0.0 120.0 0.0 1.0 0.0 1.0 0.0 1404892700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 86528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.953736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.456709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4048796 -5.013272 6.083786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22196.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61740.0 -3536.0 86172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 86172.0 114688.0 0.0 0.0 2016.0 15961944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.23318174 0.0078125 0.005848 0.0035502056 0.005640971 0.0032442124 0.006030003 0.0034296284 0.0037663348 0.0033704771 0.004993721 0.0035615808 0.0031509355 0.0026208502 0.0027152647 0.0025969623 0.0023796957 0.0035775062 0.0032112242 0.004391972 0.0023580827 0.0024797977 0.0037094587 0.0035672686 0.0031418353 0.0026936517 0.0022977942 0.0025798995 0.0026254004 0.0026276754 0.0025582865 0.0040382026 0.004067778 0.0021738042 0.0025992375 0.002376283 0.00273574 0.002674314 0.003208949 0.0025685243 0.004340783 0.0024035836 0.0035968442 0.0054146037 0.0030235332 0.0024957228 0.0034569288 0.0026345006 0.0030155703 0.0027323274 0.0029075057 0.0027220899 0.0022329553 0.0022636685 0.002397896 0.0025070983 0.0037572347 0.0024638723 0.0022511557 0.0024559097 0.002585587 0.002371733 0.0025275736 0.0028767928 0.0021920046 0.0021328535 0.0021590164 0.002317132 0.0023853832 0.0025150608 0.0023512577 0.002650426 0.0024854853 0.002821054 0.0028017163 0.002716402 0.0030622089 0.0038857746 0.0025514616 0.002844942 0.0020452642 0.0023000692 0.0025105106 0.0025821745 0.002374008 0.0024388467 0.0028028537 0.0024297466 0.0027960287 0.0034694416 0.0023307824 0.0025321236 0.0026208502 0.0023842459 0.0024729725 0.0030826842 0.002550324 0.0032123616 0.002785791 0.0029996452 0.0033556893 0.0047298158 0.0026367756 0.0030041952 0.0021738042 0.0034569288 0.0023728705 0.0025571492 0.0029780322 0.0025434988 0.0030360457 0.0049084066 0.0027539404 0.0027721408 0.003839136 0.0034671666 0.0037959104 0.0027209523 0.0024547721 0.0029791696 0.0030235332 0.0027550778 0.0024843477 0.0033647895 0.0025651117 0.0027289148 0.0029848574 0.0029439065 0.0027323274 0.0021794918 0.0026845515 0.0023910708 0.0023330573 0.00235012 0.002467285 0.0026299504 0.0020429892 0.002807404 0.0023944834 0.0032112242 0.002838117 0.0027198147 0.0025230234 0.0030235332 0.0034273532 0.0025605618 0.0027550778 0.0030576587 0.0025014104 0.0033522767 0.0026868265 0.0024934479 0.0028961306 0.003276063 0.0025139232 0.0028176417 0.0025912747 0.002711852 0.0029040934 0.0030076078 0.0019394747 0.0020065885 0.0021726666 0.0024126838 0.0025798995 0.0023455701 0.0026003749 0.0023785583 0.0020714272 0.0027084395 0.0022511557 0.0026401882 0.0026003749 0.002374008 0.0026424632 0.002633363 0.0026185752 0.0029461815 0.003018983 0.0028711052 0.0024013086 0.0023512577 0.0024342968 0.0025651117 0.0028312919 0.0029803072 0.0030531087 0.002576487 0.002692514 0.0025139232 0.0025753495 0.0028085415 0.0022238551 0.002447947 0.0023205446 0.0024513595 0.0027710032 0.003030358 0.00299282 0.0031008846 0.002829017 0.0029530067 0.0027471152 0.0034171157 0.0026413258 0.0028392544 0.0029768946 0.0028608674 0.002184042 0.002585587 0.0026583886 0.0025980999 0.002914331 0.004041615 0.0028733802 0.0028233293 0.002502548 0.0032646877 0.0021851794 0.003265825 0.0028802054 0.0024138214 0.0025150608 0.0027869286 0.0024934479 0.0027664532 0.0027493902 0.0031395603 0.0029916824 0.002521886 0.0027926161 0.0028654176 0.002574212 0.0030678965 0.002604925 0.0030280831 0.0029325313 0.0030178453 0.003097472 0.0030838216 0.002711852 0.0031554855 0.003049696 0.0031156724 0.0032555875 0.0026242628 0.0028949932 0.0034648916 0.0028017163 0.003282888 0.0025309862 0.003611632 0.00403934 0.0040347897 0.0062484075 0.030305857 0.033691406 1.1395128e-06 3.4185384e-06 0.0 9.116103e-06 0.0 0.0 0.0 0.0 0.0 0.0 9.116103e-06 0.0 3.4185384e-06 3.4185384e-06 0.00011793958 0.003361563 3.988295e-06 5.127808e-06 2.2790257e-06 5.127808e-06 0.0 0.0 0.0 0.0 0.0 0.0 2.5069283e-05 6.837077e-06 1.1964885e-05 1.3104398e-05 6.5521985e-05 0.0021388656 6.837077e-06 1.5383423e-05 9.685859e-06 6.2673207e-06 4.5580514e-06 4.3301487e-05 1.7662449e-05 1.1964885e-05 6.837077e-06 2.848782e-06 1.2534641e-05 5.127808e-06 8.546346e-06 8.546346e-06 3.4755143e-05 0.0088648405 3.361563e-05 2.3360013e-05 1.9941475e-05 3.0766845e-05 2.848782e-06 3.0766845e-05 2.9057577e-05 7.0649796e-05 4.273173e-05 1.424391e-05 6.780101e-05 5.2417592e-05 7.463809e-05 8.261468e-05 0.0010614562 0.008757156 3.7603924e-05 2.9627334e-05 2.392977e-05 4.785954e-05 1.2534641e-05 4.501076e-05 4.785954e-05 6.894053e-05 5.697564e-05 4.3871245e-05 8.831224e-05 0.00010255616 9.457956e-05 0.00016978741 0.002042007 0.018703964 7.1789305e-05 0.00018232205 6.3242966e-05 0.00014870643 2.848782e-05 0.00014129959 0.00012306738 0.00019200791 0.00021194939 4.9568807e-05 0.0002353094 0.00026322747 0.00031279627 0.00061533693 0.005494731 0.012984179 0.00019200791 0.00025582063 8.660297e-05 0.00020511232 0.00012990447 0.0002797504 0.0002535416 0.00015098545 0.00014414838 0.00015725277 0.00020796109 0.00030254066 0.00026835527 0.00045694466 0.0014278096 0.02731754 0.00037205094 0.00038914362 0.00013503227 0.0009782718 0.0002575299 0.00031849384 0.000399969 0.0005486754 0.0009007849 0.0006375574 0.0005737447 0.0008671693 0.00070535846 0.00087514584 0.00439681 0.07546424 0.0011167226 0.0016836302 0.0005481057 0.0026282864 0.0013736828 0.0027268543 0.0023263155 0.0019770549 0.0025018004 0.001791884 0.002664181 0.0025792874 0.0030783939 0.0028390961 0.016054027 0.019698758 0.0013064515 0.0012027558 0.00050366466 0.0005298735 0.00056975643 0.00071732333 0.00089850585 0.00071846286 0.00058286084 0.0006523711 0.0007150443 0.0008284258 0.00074068335 0.0007469507 0.0034270848 0.02400213 0.0048799636 0.004644654 0.0016528633 0.0011491987 0.0014591462 0.0037467182 0.002566183 0.0010625958 0.00063072034 0.00059767446 0.00048315345 0.00043472415 0.0009486444 0.0005019554 0.0025815663 0.02013918 0.0047255596 0.004208221 0.0018414528 0.0011850933 0.0014597159 0.003268123 0.002530858 0.0013036027 0.0011759773 0.00087001803 0.000956621 0.00070023065 0.0018283484 0.0006939633 0.0032880644 0.004009376 0.00073270674 0.00081247266 0.00034242362 0.00036806264 0.0004666305 0.0011435011 0.00067402184 0.00057203544 0.0005082227 0.00042674755 0.00052930374 0.00019656596 0.001225546 0.0009532025 0.0010415147 0.0025411136 0.00049853686 0.0003504002 0.0003059592 0.00034755142 0.00033216798 0.0004951183 0.00040167826 0.0003122265 0.000355528 0.0002575299 0.00024613476 0.00027405284 0.00031735434 0.00060052326 0.0005321525 0.00012135812 3.1336604e-05 7.97659e-06 7.97659e-06 4.159222e-05 2.6208796e-05 0.00017149668 0.00013902057 6.3242966e-05 6.723126e-05 2.848782e-05 9.514932e-05 2.2790257e-06 0.00020739133 0.00010027713 5.5836128e-05 0.033099428 0.034279395 0.035932828 0.036547024 0.034205325 0.03509016 0.036076408 0.037205093 0.03434207 0.038444314 0.03288919 0.036398888 0.038062576 0.03474033 0.037144132 0.039638523 3230.0 7.89226 25492.0 0.012003765 0.005884199 0.006668759 0.0061587947 0.007021811 0.004393535 0.0077279145 0.006354935 0.004315079 0.005452691 0.005962655 0.006707987 0.007100267 0.0075317747 0.014200534 0.006551075 0.009532402 0.009689314 0.0077671427 0.008237879 0.005570375 0.006590303 0.006511847 0.0069041266 0.004903499 0.005923427 0.005060411 0.0062372508 0.0070610386 0.00800251 0.005844971 0.0076494585 0.0063157068 0.008983211 0.008473246 0.010434646 0.010316962 0.0072179507 0.008120195 0.00800251 0.0061587947 0.01094461 0.004550447 0.0060018827 0.008708615 0.008551703 0.006786443 0.0067472146 0.0063157068 0.005844971 0.009885455 0.014632042 0.00859093 0.0069041266 0.00917935 0.006394163 0.005648831 0.006511847 0.0047858153 0.004668131 0.005256551 0.006041111 0.005884199 0.015926566 0.005060411 0.027106544 0.011179978 0.017613368 0.017613368 0.056527536 0.010316962 0.016397301 0.008080967 0.028283384 0.005531147 0.0074925465 0.021026203 0.015926566 0.026988858 0.033186883 0.01192531 0.0077279145 0.031931587 0.026321983 0.043072335 0.018319473 0.009100894 0.009532402 0.0076494585 0.014122077 0.006864899 0.0062372508 0.005060411 0.0060803387 0.0061587947 0.007257179 6.264448 0.0 0.0 0.0 7.0 879104.0 901120.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541548800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 4.0 0.0 876544.0 512.0 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 -876544.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.83203 0.0 4.3408556 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 -876100.0 0.0 1464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 884208.0 1464.0 884736.0 0.0 0.0 0.0 0.0 12.0 892928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.109197214 0.004428405 0.008352507 0.0030494533 0.0033804015 0.0027185048 0.0027263844 0.0031440097 0.0029864153 0.0032070477 0.002458474 0.0027500237 0.0027027454 0.0025057523 0.002679106 0.003025814 0.0033882812 0.0028367005 0.0027894222 0.0030179343 0.003191288 0.00313613 0.0030100546 0.0031518897 0.0031518897 0.0028682195 0.0030100546 0.003199168 0.0027815425 0.003514357 0.0029233776 0.0035616353 0.0048854286 0.004916948 0.004310209 0.003537996 0.003482838 0.0033410029 0.0033567625 0.0028603398 0.003002175 0.002883979 0.002537271 0.0082815895 0.0032149274 0.00399502 0.0032700854 0.0032385665 0.005050903 0.0052636554 0.0051139407 0.005452769 0.0060831467 0.0042944495 0.0043023294 0.004168374 0.0038768242 0.0038847039 0.0038847039 0.0041920133 0.004223532 0.0042471713 0.0038059067 0.0041447347 0.005366092 0.0058073564 0.005106061 0.0046884357 0.0058073564 0.004333848 0.004593879 0.005452769 0.00399502 0.004420525 0.0041447347 0.0040344186 0.004160494 0.0040659374 0.0040344186 0.0036877107 0.0040344186 0.0030100546 0.003002175 0.0034040408 0.0033488825 0.0029154979 0.003593154 0.008391906 0.0031518897 0.0028918586 0.0029076182 0.0031518897 0.008147635 0.0029233776 0.0029076182 0.0030100546 0.0029470169 0.00886469 0.008108236 0.0032937245 0.0035064772 0.009502947 0.003222807 0.0032779651 0.003254326 0.0033410029 0.008179153 0.0029785356 0.0037192297 0.002600309 0.0030179343 0.0037271094 0.002994295 0.0029076182 0.004113216 0.0036877107 0.0035301163 0.0031282504 0.0028918586 0.0028997385 0.0027421438 0.0026712264 0.0024978726 0.002482113 0.0025057523 0.008486463 0.0033488825 0.0038689445 0.0029233776 0.0030888517 0.002765783 0.0030652126 0.002765783 0.003254326 0.0076354523 0.0027815425 0.0029785356 0.0027421438 0.0026475873 0.0038374255 0.0023087591 0.002994295 0.002458474 0.0026081887 0.002513632 0.002513632 0.0026869858 0.0025215116 0.0026318277 0.002679106 0.0025845494 0.0027342641 0.0023717969 0.0026633467 0.002655467 0.0026160683 0.0023875562 0.0025057523 0.0077772876 0.002545151 0.0077221296 0.0024742333 0.002426955 0.0026160683 0.0024899927 0.002143285 0.0022378415 0.0020960066 0.0024190752 0.0026633467 0.0027342641 0.007517257 0.002600309 0.0022851198 0.0024427143 0.0030494533 0.0030336936 0.0024663536 0.0027027454 0.0026633467 0.002545151 0.0026318277 0.0076433322 0.0025845494 0.0025530306 0.0025293913 0.0022693605 0.008053077 0.0028997385 0.002482113 0.002970656 0.002513632 0.0029312572 0.002600309 0.0029470169 0.0075566554 0.0026160683 0.0024505942 0.0024899927 0.0024505942 0.0026160683 0.002545151 0.0023875562 0.0026081887 0.0028603398 0.0022299618 0.0023008795 0.0025766697 0.0028445802 0.0024978726 0.0032070477 0.0025215116 0.0026633467 0.0023639172 0.0025215116 0.007186308 0.002623948 0.0028367005 0.0023796766 0.002679106 0.0028209412 0.008344628 0.0034355596 0.0028524601 0.0030179343 0.0025215116 0.0028682195 0.0024978726 0.0028603398 0.0028051818 0.002679106 0.0025215116 0.0033488825 0.0027736628 0.0039319824 0.0027342641 0.0029864153 0.0027579034 0.002592429 0.0026475873 0.002600309 0.007824566 0.0027579034 0.0024427143 0.0028760992 0.00256879 0.0026712264 0.0028682195 0.0030494533 0.0024505942 0.002426955 0.0026633467 0.0027421438 0.002458474 0.0025766697 0.005090302 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1805.0 6.399446 11551.0 0.012120163 0.018872825 0.005107783 0.0032897585 0.0047614924 0.0043286295 0.0037226214 0.004415202 0.0036360489 0.0034629037 0.0027703228 0.04977924 0.0036360489 0.0048480653 0.004068912 0.003809194 0.016275648 0.016448792 0.01740109 0.019132543 0.017227946 0.00934984 0.011947017 0.00900355 0.008743832 0.008830404 0.011254437 0.009176695 0.009263267 0.010215566 0.0103021385 0.011514154 0.011341009 0.01740109 0.010215566 0.01402476 0.0170548 0.010994719 0.012293308 0.021816293 0.010648428 0.012899316 0.008743832 0.011600727 0.010821573 0.011081291 0.012466453 0.009782703 0.013072461 0.003982339 0.0045883474 0.0069258073 0.0038957666 0.0030300408 0.0053675007 0.050038956 0.0059735086 0.004415202 0.003809194 0.00467492 0.04744178 0.0047614924 0.0045883474 0.0050212103 0.003982339 0.008743832 0.004934638 0.0074452427 0.008310969 0.0170548 0.0050212103 0.0056272186 0.0059735086 0.010128994 0.047008917 0.0048480653 0.0116873 0.0058003636 0.007878106 0.010561856 0.004501775 0.0045883474 0.012466453 0.007964678 0.012293308 0.0050212103 0.004068912 0.0050212103 0.003809194 0.00467492 0.0026837504 0.00233746 0.0034629037 0.047008917 0.004068912 0.007531815 6.1364355 0.0 0.0 0.0 4.0 126908.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.23302373 0.0034287649 0.0049050385 0.0034534577 0.0030301535 0.0030248621 0.0031571446 0.0026333055 0.0029366736 0.0027567693 0.002568046 0.0024075434 0.0028643592 0.0028678868 0.0025380622 0.0030760113 0.0028308476 0.0028925794 0.0023369926 0.0026474157 0.0025574635 0.0024869128 0.0027779345 0.0026562347 0.002592739 0.0024604562 0.0022523317 0.04475032 0.00282732 0.0025345345 0.0025468809 0.002919036 0.0027091475 0.002531007 0.0026227229 0.0024763301 0.0025468809 0.0027708795 0.003077775 0.002964894 0.0028643592 0.002820265 0.002971949 0.0025821563 0.0027620606 0.0024128347 0.0026862186 0.002698565 0.0031412707 0.0027691156 0.003003697 0.0023211187 0.0024992593 0.002753242 0.0027567693 0.0025380622 0.0028714142 0.003001933 0.017531853 0.0025362982 0.002684455 0.0029066897 0.002675636 0.0024639838 0.0037656445 0.0027620606 0.0027638243 0.0029701854 0.0025116056 0.0027109114 0.0027267854 0.002441055 0.0030195708 0.0026721086 0.0024287086 0.0024428186 0.0026968012 0.0026209592 0.0027197301 0.0027391317 0.003359978 0.003063665 0.0026774 0.0029366736 0.0024534012 0.0027126751 0.0026438881 0.0029366736 0.0024675115 0.0026879823 0.0023899055 0.002358158 0.0027461867 0.002523952 0.0028149737 0.0028714142 0.002501023 0.0027990998 0.0025803926 0.002744423 0.0028537766 0.0026139042 0.003748007 0.002659762 0.002675636 0.0032030027 0.0026738723 0.0025733374 0.0026650534 0.0026809273 0.0030442635 0.0030813026 0.0026121403 0.0027179664 0.0027638243 0.0031871288 0.0029754767 0.0025327709 0.0028079187 0.0027426593 0.0028625955 0.0024974954 0.00256981 0.0032276954 0.0030054606 0.00256981 0.0023740316 0.0024234173 0.002979004 0.0027638243 0.0027832258 0.0026932736 0.002927855 0.0043353415 0.0026932736 0.0028855244 0.0025415896 0.0024957317 0.0024569288 0.0024833854 0.0024198897 0.0032876635 0.0029331462 0.0027849895 0.0027497143 0.0024463462 0.002979004 0.0025821563 0.0026350694 0.0024886767 0.0024392912 0.0024463462 0.002553936 0.0025786287 0.002919036 0.00244811 0.0025803926 0.0025221882 0.0024357636 0.0024428186 0.0025221882 0.0025521722 0.0024886767 0.0025133693 0.0024763301 0.0026738723 0.007555982 0.007416644 0.0075383442 0.002434 0.002606849 0.0024886767 0.0023916694 0.002493968 0.0028767055 0.0024463462 0.0028767055 0.0025292432 0.00256981 0.0024798578 0.0024057794 0.002418126 0.00293491 0.0025909753 0.0027320767 0.002416362 0.0024710388 0.0029560751 0.002585684 0.0025645187 0.002560991 0.002774407 0.0028749418 0.0024216534 0.0030671924 0.003139507 0.0024869128 0.0027020925 0.0027391317 0.003139507 0.0028396663 0.002560991 0.002531007 0.0027144388 0.002531007 0.0025980303 0.0031730186 0.0026033216 0.0025803926 0.0027832258 0.0027550056 0.0027144388 0.0027814622 0.0025045506 0.0025116056 0.0024957317 0.0027091475 0.002760297 0.0026703447 0.0022135288 0.002684455 0.0025874476 0.002324646 0.0025803926 0.0024498736 0.0026350694 0.0022981896 0.0025362982 0.002652707 0.0024745665 0.002356394 0.0025556998 0.0034075996 0.0022893709 0.0025063143 0.0028414303 0.0027003288 0.0024763301 0.0024004881 0.0025027867 0.0028026274 0.0025592274 0.0027179664 0.0025909753 0.0021835447 0.002636833 0.0025151332 0.003155381 0.0026350694 0.0024745665 0.0026509434 0.0023352287 0.0026544707 0.0027056201 0.0031218694 0.008044546 0.010869565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.081349246 0.03987453 1.8575916e-05 2.6537025e-06 2.4767889e-05 1.061481e-05 3.0075294e-05 1.5922215e-05 1.23839445e-05 2.6537025e-06 8.8456745e-06 6.1919723e-06 1.061481e-05 2.6537025e-06 3.53827e-06 3.53827e-06 0.002981877 8.8456745e-06 1.6806782e-05 0.013634724 6.899626e-05 9.2879585e-05 0.00022998755 0.000111455505 2.6537024e-05 2.6537025e-06 0.013595802 9.730243e-06 1.769135e-06 2.6537025e-06 9.730243e-06 2.6537025e-06 0.002306952 0.0010906718 1.3268512e-05 7.784194e-05 2.122962e-05 1.5922215e-05 7.961107e-06 9.730243e-06 1.769135e-06 0.0 6.015059e-05 1.769135e-06 7.961107e-06 0.0 1.769135e-06 6.1919723e-06 0.0013330432 0.00013268512 2.0345053e-05 9.730243e-06 0.00014241536 7.961107e-06 2.9190727e-05 2.122962e-05 1.8575916e-05 1.7691349e-05 1.8575916e-05 1.5922215e-05 6.1919723e-06 4.4228373e-06 7.07654e-06 2.6537024e-05 0.0017558665 0.00034675046 7.4303665e-05 0.0005289714 9.9071556e-05 1.415308e-05 8.6687614e-05 1.7691349e-05 1.5037647e-05 2.5652456e-05 0.00053339417 1.1499377e-05 1.23839445e-05 1.061481e-05 1.5037647e-05 7.60728e-05 0.001016368 0.00043432263 3.2728996e-05 0.0007633817 6.1035156e-05 4.865121e-05 4.9535778e-05 2.9190727e-05 8.491848e-05 2.7421593e-05 0.0007483441 2.5652456e-05 6.191972e-05 1.5922215e-05 4.9535778e-05 0.0001742598 0.005299444 0.00075542065 0.00026094742 0.00031048318 0.0003157906 0.00017602893 0.00026271655 0.0001822209 0.00013003142 0.0001494919 0.00016718326 0.00013799252 0.00013887709 0.00019814311 0.00018045177 0.00039274796 0.004836815 0.000537817 0.00022379558 0.0002476789 0.0005360479 0.00023175668 0.0005068572 0.00033790478 0.0001716061 0.00018133633 0.00018664374 0.00018841287 0.00018841287 0.00018841287 0.00015833759 0.00033613565 0.0063573867 0.00033082825 0.000380364 0.00052101025 0.00089164404 0.0010092915 0.0011800131 0.00067669415 0.0018593608 0.00025740915 0.00024944803 0.00045909052 0.0007961107 0.00047147446 0.0005811608 0.00390625 0.0060787476 0.00056966144 0.0008412237 0.0004732436 0.0005165874 0.0005466627 0.0005687769 0.00047147446 0.0009924847 0.00043874548 0.00053427875 0.00066961756 0.000727999 0.000505088 0.000537817 0.0018319392 0.004374186 0.00046616705 0.0011092477 0.00034144305 0.0006315812 0.0005714306 0.00073507556 0.00062273553 0.0009190656 0.0004705899 0.0004900504 0.00049093494 0.0005838145 0.00043963004 0.0005404707 0.0017063307 0.0029084578 0.0008102638 0.0008155712 0.0016046055 0.00063246576 0.00089429773 0.0014692666 0.0009296804 0.0010986328 0.0004953578 0.00055904663 0.0004953578 0.0010384822 0.00082264777 0.00069261633 0.0010375977 0.14694524 0.03880863 0.03964897 0.039928492 0.040051445 0.040040832 0.039836496 0.04037962 0.040141672 0.039237645 0.03839819 0.03937829 0.040603418 0.03903773 0.038350422 0.038343348 7085.0 12.048836 85366.0 0.010378839 0.00941827 0.00972284 0.008563128 0.009219127 0.009078556 0.011843123 0.01139798 0.009582269 0.010542839 0.009465126 0.0106599815 0.010402268 0.0098985545 0.009640841 0.010531125 0.011245695 0.010788838 0.011386266 0.009593983 0.0104491245 0.010999695 0.010531125 0.0105194105 0.010179697 0.010987981 0.009617412 0.0105194105 0.010249983 0.010226554 0.010167982 0.0106599815 0.010355411 0.010542839 0.01046084 0.010695125 0.01046084 0.010308553 0.010074268 0.010039126 0.011257409 0.010296839 0.011245695 0.010308553 0.0105896965 0.010777124 0.010964553 0.010308553 0.010741982 0.010976267 0.010308553 0.0116322655 0.010402268 0.0107302675 0.010929409 0.01021484 0.010285125 0.009875126 0.01005084 0.010378839 0.010613125 0.010507696 0.0107302675 0.012007122 0.009570555 0.012452264 0.010952839 0.012030551 0.010929409 0.011081696 0.010613125 0.010929409 0.011046552 0.011269123 0.009465126 0.010285125 0.010226554 0.010882553 0.011550266 0.0112808375 0.00988684 0.010238268 0.011151981 0.0115619805 0.011105124 0.008867699 0.010800553 0.0094768405 0.009957125 0.009535412 0.008481128 0.0095471265 0.009219127 0.009711126 0.009066842 0.009289413 6.581128 1.0 9.0 0.0 3.0 566968.0 561152.0 0.0 0.0 55.0 0.0 1.0 1.0 0.0 0.0 1139050900.0 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 7.0 3.0 6.0 0.0 4.0 0.0 4.0 0.0 544768.0 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 -544768.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8245716 0.0 5.707374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -543192.0 0.0 8172.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 546068.0 8172.0 552960.0 0.0 0.0 5816.0 561152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 268.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.060342267 0.004388952 0.0031694754 0.004289997 0.0038068627 0.0034052213 0.0031461916 0.0030268633 0.0040455195 0.0044966387 0.0034838035 0.003559475 0.0032305946 0.0040513403 0.0042114146 0.0038883553 0.0032218632 0.0039698477 0.0036875345 0.0038417883 0.003926191 0.0045577576 0.0039873105 0.0030879828 0.0030035798 0.003932012 0.0032655199 0.0039029075 0.0035361913 0.0028580576 0.0033062662 0.0046625338 0.0037835792 0.004074624 0.0034576093 0.0037777585 0.0041386536 0.0034954452 0.0042550713 0.0043394743 0.003038505 0.0037049972 0.0031054455 0.0029366396 0.0030821618 0.0033848481 0.003833057 0.0029337292 0.003285893 0.002907535 0.0035827586 0.0036671613 0.0048196977 0.0029249978 0.003448878 0.003029774 0.0029570127 0.003585669 0.0033644752 0.003937833 0.002977386 0.0038446987 0.0032742512 0.0033004454 0.005454175 0.0053814137 0.0034285048 0.0029948484 0.004872086 0.012116185 0.0027998486 0.0040251464 0.0036817137 0.0043423846 0.0034517886 0.0029657441 0.003553654 0.0053785034 0.004042609 0.0033877587 0.0060653687 0.0037748478 0.0031461916 0.0032364156 0.00391746 0.0036729823 0.004106639 0.00385343 0.0044588028 0.0029482814 0.0040251464 0.0034139527 0.0032975348 0.003291714 0.0035274602 0.0035740272 0.0036467884 0.0031258187 0.0039029075 0.003952385 0.003955296 0.0042870864 0.0031345498 0.0038446987 0.0038563404 0.004214325 0.005459996 0.003742833 0.004519922 0.003108356 0.0032247738 0.0032684305 0.0030530575 0.0032480573 0.0035769376 0.0035216392 0.0047178324 0.003847609 0.003763206 0.0033673856 0.0030996245 0.0032888036 0.003402311 0.0034576093 0.0029162664 0.0030355947 0.0028755201 0.0027998486 0.0041648475 0.003638057 0.0039960416 0.003533281 0.0031374604 0.0036962659 0.003422684 0.0034721615 0.003690445 0.003946564 0.0031461916 0.0065397713 0.002907535 0.00411537 0.0040135044 0.0028784308 0.0035973107 0.0027561919 0.0035303705 0.0035769376 0.0044267876 0.0034285048 0.0034517886 0.0033470124 0.0033586542 0.003344102 0.0029424606 0.0029861173 0.0034576093 0.0033790274 0.0036962659 0.003076341 0.0034925346 0.0034285048 0.002834774 0.0038563404 0.0033877587 0.00293955 0.0032771616 0.0033208183 0.0029948484 0.0033994005 0.0033528332 0.0028580576 0.004420967 0.0045315637 0.0041095493 0.0032276842 0.0035129078 0.0031578334 0.0028813411 0.0032771616 0.0029220874 0.003207311 0.0038446987 0.0034110423 0.003259699 0.0034052213 0.00391746 0.0035449227 0.0035769376 0.003285893 0.0035565645 0.0028813411 0.003964027 0.003160744 0.0046276087 0.0037341018 0.0038621612 0.0037835792 0.010754096 0.0033877587 0.0030326843 0.0034808929 0.0037370122 0.0038301465 0.005713205 0.0033528332 0.0033266393 0.0035129078 0.0034372362 0.0036205943 0.003579848 0.002828953 0.003422684 0.003213132 0.0035507437 0.0033994005 0.0030676096 0.005395966 0.0030326843 0.0033411914 0.0030967142 0.004362758 0.003952385 0.0037748478 0.003638057 0.0028755201 0.0030152216 0.0030879828 0.0034255944 0.003291714 0.0043918625 0.003160744 0.0045373845 0.004362758 0.0032946244 0.0030181322 0.0037341018 0.0030094008 0.0043802205 0.0029046247 0.0035303705 0.0032102214 0.003533281 0.0032422363 0.0032771616 0.0037923106 0.003285893 0.0038359673 0.0035682062 0.0039407434 0.0034372362 0.003763206 0.004159027 0.0035129078 0.0041357432 0.006638726 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 0.05381181 0.055656753 0.054409735 0.052918576 0.050946448 0.053284056 0.055191863 0.05101808 0.05006052 0.051387947 0.05323435 0.05162478 0.05381327 0.054507684 0.051170122 0.05127538 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343590.0 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: 0.2128665 0.010943884 0.0011445566 0.0015441 0.0015020428 0.0009222543 0.0020487863 0.00073900505 0.0007540255 0.0013248017 0.0019466474 0.00078106223 0.00065489067 0.0007690459 0.00052571495 0.00047464552 0.0006218457 0.00047164143 0.0004956741 0.0010243931 0.0005437395 0.00048666185 0.0005557558 0.00038752705 0.0004836578 0.00040855564 0.00038752705 0.0004806537 0.00067591923 0.00063987024 0.0005827926 0.00046262916 0.026105503 0.00053773134 0.0008171113 0.0005106945 0.00052871904 0.00047464552 0.0006188416 0.00088320114 0.0019406392 0.0017123288 0.0006849315 0.000666907 0.0010243931 0.001616198 0.0014269407 0.00079307857 0.0038482335 0.0017513819 0.0013248017 0.0007119683 0.0007870704 0.0007480173 0.0008291276 0.0006188416 0.0009733237 0.0006729152 0.0007750541 0.00034546983 0.0004806537 0.00046563326 0.00063085795 0.000456621 0.0005587599 0.0018294881 0.0027247055 0.0028598895 0.0028929345 0.001793439 0.001931627 0.0007299928 0.0012226629 0.0018745494 0.00054974767 0.0004986782 0.0018655371 0.001721341 0.001895578 0.0011055035 0.0018144677 0.00085015624 0.0017003125 0.0033495554 0.003908315 0.0013518385 0.00059480895 0.0007870704 0.0004596251 0.0004355924 0.00048966595 0.00032143717 0.00034246576 0.0002883922 0.00030341264 0.0076634223 0.00039053112 0.009718217 0.0024242972 0.004256789 0.003932348 0.017633982 0.0020067291 0.002105864 0.0020608027 0.009754266 0.0003364576 0.0011145157 0.00827926 0.0043529198 0.008696828 0.010772651 0.0032894737 0.0005167027 0.009712209 0.0072939196 0.011824081 0.0054554194 0.0013728671 0.0011745974 0.0014089161 0.0017573901 0.0006188416 0.0011956261 0.00040855564 0.0012617159 0.0002913963 0.0002913963 0.0010634463 0.0049267 0.0021148762 0.00042357607 0.00030341264 0.0017033165 0.0024873829 0.013034727 0.00065789477 0.0010634463 0.0002913963 0.003157294 0.0003364576 0.010805695 0.00038452295 0.0019616678 0.0003574862 0.00036049026 0.00031843307 0.0008741889 0.00027637588 0.009057318 0.0012767364 0.0031362653 0.00045061283 0.0005076905 0.0011205239 0.0011505648 0.0017844269 0.00027337178 0.00042958424 0.007888729 0.0006849315 0.0022981255 0.00038151885 0.00089221343 0.0066810865 0.0034817352 0.12317051 0.03464612 0.009778298 0.00021629417 0.004349916 0.0011715933 0.0050708964 0.0010243931 0.0046112714 0.0039173276 0.014359529 0.00032444124 0.0048335735 0.00027637588 0.00024032684 0.00031542897 0.0014720019 0.0012947608 0.0061253305 0.0019826964 0.00026736362 0.00030040854 0.00037250662 0.0002883922 0.015681326 0.010685532 0.00027937995 0.00027937995 0.00025835136 0.0002913963 0.0002703677 0.00024333093 0.00020427782 0.0002523432 0.00030040854 0.00030641674 0.00027637588 0.00023732276 0.00023732276 0.0003364576 0.00027937995 0.00022530642 0.00024333093 0.0003304494 0.00031843307 0.00026435952 0.00030341264 0.00027937995 0.00024633502 0.00024633502 0.0002493391 0.00022530642 0.00026135545 0.00024333093 0.00021028599 0.0003304494 0.00028538812 0.0003094208 0.15751922 0.0003544821 0.0003364576 0.00030641674 0.0002913963 0.00025835136 0.00029440038 0.0003785148 0.00025534726 0.0002703677 0.00021028599 0.0003094208 0.00026736362 0.000351478 0.00027637588 0.00028538812 0.00025534726 0.00023732276 0.00033946167 0.00026736362 0.0002703677 0.0002703677 0.00021929825 0.0004145638 0.00021028599 0.00026435952 0.00026135545 0.00026135545 0.00028538812 0.00029740448 0.00023732276 0.00030641674 0.027768735 0.0 0.0 3.0140818e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0140818e-06 0.0 0.0 0.0 3.0140818e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0057659387 1.959153e-05 5.5760513e-05 2.4112655e-05 3.3154898e-05 2.1098573e-05 0.00012056327 6.0281636e-05 6.0281636e-06 9.042245e-06 1.2056327e-05 2.1098573e-05 1.2056327e-05 1.5070409e-06 6.0281636e-06 4.5211227e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004944601 2.7126736e-05 0.000105492865 5.8774596e-05 0.000114535105 3.767602e-05 0.00038881655 0.00021098573 3.466194e-05 2.5619694e-05 6.1788676e-05 6.1788676e-05 5.2746433e-05 1.959153e-05 1.6577449e-05 1.2056327e-05 0.0040765456 9.19295e-05 8.891541e-05 0.0010097174 8.740837e-05 4.2197145e-05 0.00030140817 0.00014618297 3.466194e-05 3.466194e-05 7.836612e-05 7.685908e-05 4.671827e-05 1.959153e-05 2.4112655e-05 1.3563368e-05 0.027651187 0.00013261959 0.00012809847 0.00029236593 0.0028046032 0.003323025 0.0148654515 0.0059814453 3.3154898e-05 3.616898e-05 6.3295716e-05 4.671827e-05 4.0690105e-05 4.973235e-05 4.671827e-05 6.0281636e-05 0.116548516 0.0010850695 0.004233278 0.0022213783 0.012827932 0.0133463545 0.054915063 0.02843334 0.0041458695 0.002540871 0.017563054 0.0048119817 0.00046868972 0.0004385489 0.013771339 0.00042649257 0.013816551 0.0010956187 0.022023896 0.0025664906 0.0019697025 0.0011860412 0.002944758 0.002949279 0.027779285 0.017740885 0.14027385 0.038889192 0.00015221113 0.0001808449 0.112063564 0.00017029562 0.006451642 0.00046567564 0.0041745035 0.0007444782 0.0010398582 0.00069926697 0.0022485051 0.0015432099 0.0054057557 0.0033215182 0.025970835 0.007080078 0.00017933786 0.00023057725 0.020512333 0.00017933786 0.011402272 0.0007489993 0.0026267723 0.0008997034 0.0018928434 0.00094039354 0.0024534627 0.0017526885 0.0021053362 0.0014949846 0.008859893 0.0028166594 0.00037826726 0.0003722391 0.007175022 0.00037676023 0.005389178 0.00025619694 0.0013653791 0.0008077739 0.0009645062 0.0005033517 0.0017225477 0.0011378159 0.0010293089 0.0007399571 0.004941587 0.0015567732 7.987317e-05 7.836612e-05 0.0040464047 7.233796e-05 0.0031768421 0.0003948447 0.0007309148 0.00046868972 0.00047622493 0.0004641686 0.0006525487 0.0006299431 0.00054705585 0.0004671827 0.0014844353 0.00065706985 0.00024414062 0.00032853492 0.0013503087 0.0002727744 0.005267108 0.0015733507 0.0017888575 0.0026614342 0.0014136044 0.0015236184 0.0031210817 0.0019440828 0.0013864776 0.0008409288 0.001547731 0.0010428723 0.00075050635 0.000735436 0.0013925058 0.00078818237 0.0058036144 0.0027081524 0.0029990114 0.0035566166 0.0024263358 0.002543885 0.004172996 0.003099983 0.002242477 0.0020345051 0.0021083502 0.0018566744 0.0018174914 0.0018476321 0.002029984 0.0019621672 949.0 11.869336 11264.0 0.10147372 0.0010653409 0.0074573862 0.0022194602 0.0016867898 0.0015092329 0.0016867898 0.014204546 0.01393821 0.010919744 0.0007990057 0.0015980114 0.0042613638 0.0077237217 0.01624645 0.011629972 0.045543324 0.023703836 0.010387074 0.0059481533 0.0031072444 0.004705256 0.0033735796 0.0037286931 0.0053267046 0.004794034 0.008167613 0.00062144885 0.0007990057 0.001953125 0.0012428977 0.0007990057 0.0010653409 0.011274858 0.011363637 0.017666904 0.011363637 0.010120738 0.0030184658 0.0020419033 0.0033735796 0.015269887 0.0020419033 0.0016867898 0.0057705967 0.017578125 0.0033735796 0.006747159 0.010209517 0.0036399148 0.008167613 0.01899858 0.005060369 0.0026633523 0.0008877841 0.0037286931 0.0012428977 0.0012428977 0.0028409092 0.0010653409 0.0007990057 0.0008877841 0.0007990057 0.0021306819 0.0007990057 0.022993607 0.004350142 0.032581676 0.010298296 0.038352273 0.013494318 0.007102273 0.01003196 0.031516336 0.00035511365 0.003284801 0.014293324 0.015980113 0.022105824 0.05912642 0.011274858 0.00062144885 0.03861861 0.03116122 0.03959517 0.012517756 0.0020419033 0.005859375 0.004616477 0.0061257104 0.0029296875 0.022727273 0.0007102273 0.02290483 0.00053267047 0.00035511365 5.6497755 2.0 23.0 0.0 2.0 332880.0 327680.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1533242100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 303104.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -303104.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0106874 0.0 4.0041757 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 -299508.0 0.0 1336.0 0.0 0.0 0.0 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 83.0 307608.0 1336.0 311296.0 0.0 0.0 17488.0 315392.0 12.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0