Input: 0.5061792 0.0044468236 0.0026765242 0.0022882174 0.0035247926 0.0019504906 0.0019030719 0.0019399531 0.004551145 0.0016127639 0.0015426895 0.001586947 0.003472632 0.001511077 0.001355649 0.0037339618 0.0033936007 0.0016074951 0.0013235096 0.0012676609 0.0023077119 0.0016691395 0.0013746164 0.0012803058 0.0018319438 0.0014157126 0.0012286721 0.0013324665 0.001835105 0.0011991671 0.0012655533 0.0013145527 0.0022455405 0.0012592309 0.0012897896 0.0013029615 0.0021528106 0.0012903165 0.0012434246 0.0012118121 0.001511604 0.0012112852 0.0011754577 0.0016812576 0.0014341533 0.001789267 0.0012781983 0.0012239303 0.0020695643 0.0015848395 0.0015890545 0.0029220479 0.0016454301 0.0015400551 0.0014952708 0.0014789377 0.0018893732 0.001826675 0.0016996982 0.002344593 0.0017829444 0.0016828382 0.0014457445 0.0022128744 0.0024994942 0.0017091819 0.0018625025 0.0017334182 0.001641215 0.007875725 0.0035337496 0.002298228 0.0017339451 0.001250274 0.0014299382 0.001229199 0.0015880008 0.005715011 0.0013192946 0.0012481664 0.0037613595 0.002298228 0.0016665051 0.0018171913 0.001536367 0.004179698 0.002209186 0.0019668238 0.0014963245 0.0021401655 0.001182834 0.0014246695 0.0023435391 0.002366195 0.001708655 0.0016812576 0.0014220352 0.0017824175 0.0013124452 0.001418347 0.0019842107 0.0022044443 0.002188638 0.0012776714 0.0019267813 0.0016464839 0.0024225705 0.0012565965 0.0018393201 0.001317714 0.0016175057 0.00167915 0.0016675588 0.001187049 0.0020052856 0.0019510175 0.0039757974 0.0045295428 0.0015042276 0.001418347 0.0015537539 0.0013229827 0.0011738772 0.001208124 0.0014352071 0.0019599744 0.0013140258 0.001468927 0.0019900063 0.0014873677 0.0012039089 0.0055332393 0.0020210918 0.003729747 0.001216554 0.0011807265 0.0017623963 0.0064220773 0.0016343658 0.014892117 0.0014194008 0.0052935113 0.0010980072 0.0011169746 0.0016939025 0.0011738772 0.0011765115 0.0012423708 0.0013682939 0.0015848395 0.001128039 0.001123824 0.0013651327 0.001165974 0.0011132865 0.0011965327 0.001426777 0.0012112852 0.0011438453 0.0011838877 0.0014884213 0.0015079158 0.0011427915 0.0013119184 0.001393584 0.0012028553 0.0011211897 0.0011543827 0.0014852602 0.0011675546 0.001153329 0.0011354153 0.0013398427 0.0011585978 0.0011227702 0.0011580709 0.0015216145 0.0011312002 0.0011296197 0.0011301466 0.0014188739 0.0012407902 0.0017439557 0.0013746164 0.0018235138 0.0012940046 0.0011612321 0.0011733503 0.0014889482 0.001371982 0.0013451114 0.0013061228 0.0035132014 0.0020347906 0.0019246738 0.0023820011 0.0024526024 0.0013055959 0.0020769406 0.0027165667 0.0019599744 0.0017618694 0.0012976927 0.0013993796 0.005985825 0.0012760909 0.0014388951 0.0013540683 0.0017876863 0.0012597577 0.0014336264 0.0012239303 0.0015189801 0.0011580709 0.0013024346 0.0011991671 0.0019431143 0.0013335202 0.001153329 0.001317714 0.0015985382 0.0013440577 0.0011854684 0.0012450052 0.0020010707 0.0012718758 0.0011933715 0.001212339 0.0018087613 0.0015753558 0.001178619 0.0011928446 0.0068335664 0.0020305756 0.0011696621 0.002618568 0.0033625152 0.0012039089 0.0011944253 0.001224457 0.002865672 0.001312972 0.0012824134 0.0012998002 0.0022065518 0.001170189 0.0018461694 0.0015637645 0.0026190947 0.0015458508 0.0014167664 0.0013561759 0.0036106731 0.0018482769 0.0027492328 0.017498568 0.4611231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010306109 1.3182539e-05 1.0546031e-06 7.9095236e-07 5.009365e-06 2.1092062e-06 2.3728571e-06 1.1336983e-05 1.5819047e-06 1.3182539e-06 1.3182539e-06 1.5819047e-06 1.5819047e-06 5.2730155e-07 7.9095236e-07 4.7457143e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043185998 1.4764444e-05 2.0564761e-05 0.0 1.1073333e-05 1.4237142e-05 1.2391587e-05 8.964126e-06 2.9001585e-06 5.800317e-06 1.5819047e-06 2.1092062e-06 4.7457143e-06 0.0 2.6365078e-07 8.7004755e-06 0.0036636912 7.619508e-05 0.0001386803 3.4538254e-05 0.0003438006 6.4330794e-05 0.00029581616 0.00012576142 1.661e-05 7.8304285e-05 2.4783174e-05 1.6082698e-05 1.5291746e-05 1.661e-05 2.8210634e-05 0.00046086157 0.0056967023 0.00017453682 0.00022542142 8.753206e-05 0.0005652673 0.0001692638 0.00027393317 0.00018613745 4.6138888e-05 0.00011996111 9.6232536e-05 4.6402536e-05 4.5875237e-05 7.8304285e-05 0.0001323527 0.0006952471 0.0048066173 0.00020960237 0.00035751046 7.751333e-05 0.00063724397 0.00026866014 0.0010548668 0.00057396776 4.5347933e-05 6.485809e-05 0.000102823804 6.723095e-05 3.401095e-05 6.090333e-05 3.7965714e-05 0.00024018587 0.00392286 0.00017400952 0.0003659473 0.00019826539 0.0010221741 0.00035012825 0.0016180249 0.00083603663 8.120444e-05 0.00012233396 0.00011020603 6.74946e-05 4.9566348e-05 7.2767616e-05 6.222158e-05 0.00012602507 0.0026193706 0.0001173246 0.0002844792 0.00020907506 0.0005876776 0.00033720935 0.0007598416 0.0005555122 0.00014237143 9.0432215e-05 8.542286e-05 9.280507e-05 0.00027076935 5.6948567e-05 0.00013024348 0.00013999856 0.0027134938 0.00054654805 0.00053442013 0.0048807035 0.0009048495 0.00047219856 0.00089008507 0.00066835474 0.00038150267 0.00032165396 0.00033879126 0.0003556649 0.0004880176 0.00032719062 0.00035381934 0.00040154014 0.005213167 0.00059215963 0.00051332806 0.0007949071 0.0026776374 0.0017110936 0.0007706512 0.0007189757 0.0055480036 0.0005067368 0.00033562744 0.00052361045 0.0021036696 0.0005781862 0.001653354 0.00491656 0.02154897 0.0035229018 0.0021843468 0.002914132 0.009530185 0.007371412 0.0026151522 0.0042373952 0.017909007 0.0013836393 0.0012220214 0.0021624637 0.0098637035 0.0021980566 0.0071581188 0.01324977 0.014388214 0.0036056882 0.0019502249 0.002880385 0.005714367 0.006200539 0.0023275092 0.00506895 0.011144782 0.00107965 0.0010353567 0.0016575725 0.005494746 0.0020356476 0.0049566347 0.009293427 0.01711621 0.016601562 0.016723633 0.016994666 0.016679076 0.01682593 0.016676176 0.01669595 0.016710978 0.016531695 0.016689885 0.01666853 0.016524049 0.016586797 0.016573088 0.016680393 3796.0 9.244468 35092.0 0.023965577 0.004416961 0.004844409 0.0042174854 0.0129659185 0.005129374 0.004844409 0.0061267526 0.0070101446 0.0043884646 0.004445458 0.005784794 0.0065542003 0.0077795507 0.009831301 0.0053003533 0.016243018 0.012652457 0.013250884 0.011455602 0.013478856 0.01188305 0.01139861 0.01139861 0.013820814 0.014162772 0.014989171 0.011626582 0.015701585 0.01057221 0.009802804 0.018009802 0.027812608 0.0097173145 0.0054143392 0.0072666137 0.008634446 0.0066111935 0.0078080473 0.0063547245 0.0070386413 0.005927277 0.0042174854 0.004730423 0.0076940614 0.0057562976 0.0053003533 0.004844409 0.012566967 0.0051863673 0.0054713325 0.008491964 0.008662943 0.00663969 0.0113416165 0.008947908 0.007836544 0.0051863673 0.0043884646 0.005385843 0.007067138 0.0054713325 0.0055568223 0.013592842 0.00795053 0.024791975 0.010287245 0.016243018 0.019691098 0.03530719 0.009745811 0.008719936 0.009859798 0.02114442 0.0065542003 0.0047589196 0.017553858 0.010942665 0.018893195 0.026900718 0.012395987 0.004530947 0.025019947 0.021115923 0.036988486 0.012680953 0.008491964 0.0063547245 0.009802804 0.008890916 0.0043314714 0.0045879404 0.0065542003 0.004245982 0.0043029753 0.005385843 6.3361034 0.0 0.0 0.0 13.0 1897984.0 1912832.0 1.0 0.0 82.0 1.0 1.0 0.0 1.0 0.0 1541505500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 392704.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1470976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392704.0 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 -6.57779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9452887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.799471 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.501166 0.0 4.380197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1470620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392696.0 0.0 1664.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1866040.0 1664.0 1888256.0 0.0 0.0 0.0 0.0 18516.0 1892352.0 28.0 458112.0 0.0 0.0 0.0 0.0 24.0 458304.0 64.0 458144.0 0.0 0.0 332.0 397312.0 0.0 0.0 0.0 0.0


Input: 0.056388933 0.0036746939 0.003644491 0.0039163176 0.004339159 0.0034230025 0.0035337468 0.0036948293 0.0054868716 0.003292123 0.0036746939 0.003553882 0.0042586178 0.0029900933 0.003382732 0.0044700387 0.0055070072 0.0034632732 0.003352529 0.0034934762 0.0038357764 0.0032820555 0.0031008376 0.0032518525 0.005154639 0.003553882 0.003352529 0.003614288 0.003614288 0.0037351 0.0036344233 0.0033122583 0.0051143686 0.003412935 0.0034330701 0.0035639498 0.0037955057 0.0033122583 0.0033021907 0.0031511758 0.0054163984 0.003382732 0.003352529 0.0034934762 0.0040975353 0.0034230025 0.0034230025 0.003412935 0.0052955863 0.0035337468 0.0034330701 0.0034733408 0.0040774 0.0034632732 0.0038458442 0.0035236792 0.005154639 0.0030001611 0.0032518525 0.003412935 0.003966656 0.0035941526 0.0033021907 0.003382732 0.0050338274 0.0038156412 0.0032820555 0.0034330701 0.004228415 0.0036243557 0.0033625967 0.0037351 0.005104301 0.0035337468 0.0033927995 0.0032518525 0.0038559118 0.0036545587 0.0032417849 0.003704897 0.0050338274 0.0031310406 0.0035136114 0.0035639498 0.004198212 0.0035236792 0.0030807024 0.0032115818 0.0048526097 0.0031612436 0.003614288 0.0035941526 0.0038659794 0.0034934762 0.0035941526 0.0032417849 0.004691527 0.00309077 0.003292123 0.0032115818 0.0038659794 0.0034330701 0.0035236792 0.0034230025 0.0051143686 0.003352529 0.0032820555 0.0031411082 0.003876047 0.003412935 0.0031310406 0.0036646263 0.0048626773 0.003443138 0.003292123 0.003231717 0.0038559118 0.003352529 0.0033323937 0.003322326 0.0052955863 0.0032719877 0.003352529 0.0032820555 0.0039867912 0.0035136114 0.0031109052 0.003231717 0.0053459248 0.00424855 0.003231717 0.0032518525 0.0036847617 0.0035740174 0.0035136114 0.0034028674 0.00502376 0.0038961824 0.0034532056 0.0038357764 0.0040270616 0.0040371297 0.0034330701 0.0032216494 0.004872745 0.0032417849 0.0036344233 0.0037451675 0.0035740174 0.0035035438 0.003412935 0.00309077 0.0048526097 0.0029699581 0.003614288 0.0033323937 0.0038156412 0.0034330701 0.0032417849 0.0035941526 0.0046210536 0.0034834086 0.0031511758 0.0034028674 0.0041478737 0.0034632732 0.0032518525 0.0031813788 0.0048526097 0.0031813788 0.0033021907 0.0031109052 0.0039163176 0.003352529 0.0032115818 0.0034230025 0.004933151 0.0032820555 0.0035035438 0.0036646263 0.0035740174 0.0034330701 0.0035236792 0.0034733408 0.005003624 0.003412935 0.0034230025 0.003876047 0.003876047 0.0034330701 0.00326192 0.0034834086 0.0054163984 0.0037250323 0.0037955057 0.0036243557 0.0042686854 0.003644491 0.0035236792 0.003644491 0.0047922037 0.003412935 0.0037149645 0.0031008376 0.0040270616 0.003644491 0.00326192 0.0033021907 0.0049935565 0.0032719877 0.0034330701 0.0033021907 0.003765303 0.0035136114 0.0034834086 0.0032216494 0.0052955863 0.0032820555 0.0032518525 0.0034230025 0.0038357764 0.0031109052 0.0037451675 0.0034532056 0.0049432185 0.0035236792 0.0038961824 0.0037351 0.0037753705 0.0031511758 0.0031008376 0.0036746939 0.004872745 0.0034934762 0.003352529 0.003584085 0.0039163176 0.0038357764 0.0035337468 0.0035740174 0.005255316 0.0030102287 0.0032417849 0.0030001611 0.0042586178 0.0036243557 0.0033726643 0.0035740174 0.005074098 0.0033323937 0.003412935 0.0031612436 0.0046814596 0.0033927995 0.0033726643 0.0037149645 0.03125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0060831704 0.00029500326 0.00027974448 0.00030517578 0.0003153483 0.00027974448 0.00027974448 0.00029500326 0.00027974448 0.00016276042 0.00028483072 0.00029500326 0.000289917 0.00036621094 0.00029500326 0.00031026205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046183267 0.0004272461 0.00027974448 0.0002593994 0.00035603842 0.00033569336 0.0005137126 0.000386556 0.00082906085 0.00017293294 0.00014750163 0.00022888184 0.00069681805 0.0002593994 0.00035603842 0.0005493164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038452148 0.00074768066 0.000869751 0.0008087158 0.0007527669 0.00095113117 0.0007375081 0.00084431964 0.0024820964 0.0006357829 0.0005289714 0.0008748372 0.0022939045 0.0011545817 0.0012410482 0.0020650227 0.060180664 0.05821228 0.058181763 0.058944702 0.05929057 0.05762736 0.056310017 0.0566864 0.058029175 0.05754598 0.0566864 0.058339436 0.058151245 0.05716451 0.05866496 0.05706787 460.0 5.7391305 2640.0 0.016666668 0.007954545 0.009090909 0.007954545 0.014015151 0.009090909 0.013257576 0.007575758 0.011742424 0.008712121 0.009090909 0.010227272 0.010227272 0.010227272 0.008333334 0.006818182 0.01780303 0.009469697 0.011742424 0.007575758 0.009090909 0.010984848 0.012121212 0.011742424 0.015530303 0.009469697 0.006818182 0.010984848 0.011363637 0.006439394 0.011742424 0.006439394 0.0125 0.009848485 0.008333334 0.00719697 0.009848485 0.010984848 0.009090909 0.009469697 0.013257576 0.007954545 0.008333334 0.010606061 0.010227272 0.010227272 0.009848485 0.010606061 0.012121212 0.009848485 0.009090909 0.015151516 0.010227272 0.010227272 0.008333334 0.00719697 0.018181818 0.00719697 0.011742424 0.009090909 0.0125 0.011363637 0.010984848 0.008333334 0.012878788 0.010606061 0.009848485 0.012878788 0.011363637 0.013636364 0.010227272 0.0125 0.009469697 0.008333334 0.006818182 0.010227272 0.010227272 0.013257576 0.011363637 0.009090909 0.015530303 0.0053030304 0.010227272 0.008712121 0.010984848 0.009090909 0.009090909 0.009090909 0.018560607 0.009848485 0.010606061 0.009848485 0.011742424 0.007575758 0.009848485 0.010984848 6.5441504 0.0 0.0 0.0 1.0 99328.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 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 0.0 512.0 512.0 4096.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.987322 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.32103467 0.006756795 0.004581788 0.0037507915 0.004988807 0.0031346101 0.0021283692 0.0021933792 0.0052686324 0.0016987382 0.0017411361 0.0013963006 0.0033211606 0.0013977139 0.0011616995 0.0039005969 0.003161462 0.0012578012 0.0013581426 0.001055705 0.0021410885 0.002159461 0.005901773 0.0013736885 0.002279588 0.0018358245 0.0017453758 0.0020435737 0.0024887505 0.0022386035 0.0020972774 0.0027629228 0.004068775 0.002449179 0.003209513 0.0033918235 0.0046044 0.004009418 0.0040193107 0.0044319825 0.005424091 0.0050439243 0.005863615 0.006168879 0.009768452 0.005583789 0.005616294 0.0063455366 0.008202559 0.0059385174 0.005657279 0.0072980733 0.0053392956 0.005248847 0.00506371 0.005108934 0.0063794544 0.0067808204 0.006567418 0.0065306732 0.005137199 0.0046750633 0.0039868057 0.003951474 0.0060798437 0.004971848 0.004737247 0.006861376 0.006255088 0.006556112 0.0040786676 0.0035600013 0.0037465517 0.0029141416 0.0028208664 0.002856198 0.0030215494 0.004309029 0.0035388025 0.0027841218 0.004957715 0.0031925538 0.0026950864 0.0032165793 0.0027883616 0.0031529826 0.0038115615 0.002911315 0.0020958642 0.002981978 0.0018923548 0.0019177935 0.0018838752 0.0027374842 0.002470378 0.0020138952 0.001621009 0.0021863128 0.0014514178 0.0018655029 0.0019700842 0.0032236455 0.0020153085 0.0058523086 0.0067257034 0.0018739825 0.0027176985 0.0010811437 0.0017496157 0.0011221282 0.0017340698 0.0020068288 0.0019333394 0.00094123103 0.0022230577 0.0018103857 0.004922384 0.005559764 0.0014938156 0.0010698376 0.0011758321 0.00092568516 0.00075044093 0.00066423207 0.0009751492 0.0016422078 0.0011348476 0.00092992495 0.001903661 0.0011560465 0.00080838456 0.0047217007 0.001327051 0.0042129275 0.0006430332 0.00060911494 0.001158873 0.004108346 0.0009341647 0.01593309 0.0006712984 0.0037507915 0.0005469315 0.00052431936 0.0013129184 0.00043669727 0.0005101868 0.0005539978 0.0006359669 0.00050453376 0.0003688608 0.00037168732 0.0005525846 0.00057802326 0.00045789615 0.0004988807 0.00058508955 0.0004889879 0.0004211514 0.00059922214 0.00074337464 0.0007009769 0.0005299724 0.0006345536 0.0005031205 0.0008564354 0.00038016686 0.00031515694 0.00067977794 0.0004494166 0.00038016686 0.0004140851 0.00052573264 0.0003405956 0.00039853927 0.00036320777 0.0007165227 0.00065575255 0.00045506965 0.00046778898 0.0004960542 0.0005130133 0.00095112383 0.00064444647 0.0011843117 0.00049746747 0.00043669727 0.00040560556 0.000544105 0.00044517682 0.00066705863 0.0004465901 0.0031558091 0.0013298774 0.0016803659 0.0019983493 0.0009793891 0.00038864644 0.0012464952 0.0014174995 0.0011108222 0.0010458123 0.0006373802 0.00052573264 0.0058904667 0.0003448354 0.0007207625 0.00051583984 0.0008182774 0.0005624774 0.0008253437 0.0005568243 0.00045930943 0.0003123304 0.00051583984 0.0004847481 0.00081403763 0.0004494166 0.0004253912 0.0006345536 0.000652926 0.00029537128 0.0003787536 0.00029678456 0.0012224697 0.00037027407 0.0004988807 0.00039288623 0.00088752713 0.00053138565 0.00039288623 0.00033635582 0.010325276 0.0015277338 0.000505947 0.0017453758 0.0021425018 0.00032787627 0.00042397794 0.00035896798 0.0017764675 0.0008578487 0.00080414483 0.00059356913 0.00087763433 0.00036603428 0.0015164277 0.0008465426 0.0015899172 0.00065151276 0.00059074257 0.0007688133 0.0022781747 0.0017213504 0.0017411361 0.10254896 0.011472486 7.8549594e-05 0.0 7.07654e-07 0.0 0.0 0.0 7.07654e-07 7.07654e-07 0.0 0.0 0.0 1.415308e-06 0.0 0.0 3.9628623e-05 0.0134928385 0.00080177194 2.9013814e-05 8.491847e-06 9.199502e-06 2.0521966e-05 2.830616e-06 3.53827e-06 7.784194e-06 0.0 0.0 0.0 1.2737772e-05 0.0 4.953578e-06 9.9071556e-05 0.010289997 0.0006460881 0.00038354847 3.5382698e-05 4.3166892e-05 5.1658742e-05 4.953578e-06 4.953578e-06 5.661232e-06 7.07654e-07 0.0 7.07654e-07 4.2459237e-06 7.07654e-07 2.1229619e-06 0.00012030118 0.02282821 0.0008796139 0.0008159251 0.0006970392 0.00025617075 9.057971e-05 7.784194e-06 4.245924e-05 4.1751584e-05 3.53827e-06 1.415308e-06 3.53827e-06 4.387455e-05 1.415308e-06 3.9628623e-05 0.0017832881 0.021996008 0.0006673177 0.0005944293 0.0006821784 0.00079398777 0.00042813068 0.0003800102 0.00022149569 5.661232e-05 1.5568388e-05 1.6276043e-05 1.061481e-05 5.3781703e-05 4.2459237e-06 3.9628623e-05 0.0015759454 0.040336277 0.0011640908 0.0009815161 0.0010444972 0.0011980582 0.0007550668 0.0009716089 0.00084493886 0.000799649 0.00073596014 0.0006085824 0.0005937217 0.00016629869 1.3445426e-05 2.2644928e-05 0.00048828125 0.0069038724 6.227355e-05 6.1565894e-05 0.00083007815 0.0011499377 0.00020026608 4.5289857e-05 3.2552085e-05 4.45822e-05 4.8828126e-05 2.4767889e-05 2.9721466e-05 1.9106657e-05 7.784194e-06 1.4860733e-05 0.00066944066 0.020340098 0.00035453466 0.00044299138 0.0018568841 0.0026211503 0.00082370924 0.0006581182 0.0004394531 0.00023777173 0.0003736413 0.00014082315 0.00013374661 0.00016346807 0.00012242414 0.00024272532 0.002932518 0.016455078 0.0003290591 0.00047625112 0.0025659534 0.0017578125 0.001713938 0.0012971298 0.00075152854 0.00048332766 0.00019672781 9.765625e-05 7.99649e-05 5.0951086e-05 5.0243434e-05 0.00013303895 0.0025468466 0.10238904 0.010551829 0.0536147 0.06440146 0.03252944 0.01431301 0.0071954257 0.0029424252 0.00065316464 0.00015709919 0.00015497622 0.00013233129 0.00016063746 0.00019460484 0.0001754982 0.058260445 0.027561 0.0022942142 0.0068302765 0.006260615 0.00654863 0.0057433196 0.0060369964 0.0037052762 0.0013063293 0.0003028759 0.00016205276 0.0001754982 0.0001953125 0.00019814311 0.00015922215 0.009331834 0.010716712 0.0009192425 0.00088952103 0.00083998527 0.002176036 0.0016438802 0.002378425 0.0018193783 0.001075634 0.00032481318 0.00019106657 0.00020805027 0.00039487093 0.00013445425 0.00027740037 0.0020974865 0.0015002264 0.00012242414 0.00017479053 0.00016842165 0.00040053215 0.00021371151 0.00039557857 0.0003892097 0.0009659477 8.845675e-05 0.00011251698 0.00019460484 0.00033259738 0.00013020834 0.00033330504 0.0017238451 0.01783288 0.0029254416 0.0017953182 0.0030252207 0.0047313743 0.00534208 0.0024343296 0.004703776 0.010815076 0.0010763417 0.0010437897 0.0018582994 0.0045183706 0.0014216768 0.0045466768 0.011639493 0.024341881 0.006224524 0.00460612 0.0050165593 0.009675753 0.008589504 0.005426291 0.007831607 0.016012087 0.0020076144 0.0021930197 0.0029884228 0.008826568 0.00299833 0.00800852 0.015687982 0.01962183 0.007899541 0.008311396 0.00445822 0.005229563 0.004833277 0.011985536 0.0044426518 0.010558197 0.0035503001 0.0034738735 0.0031221693 0.008059471 0.0032155798 0.008010644 0.0106190555 1406.0 11.01138 15482.0 0.028161736 0.0019377342 0.0026482367 0.0020023254 0.0043276064 0.0059423847 0.003294148 0.0062007494 0.00568402 0.0049089263 0.0066528874 0.0063945227 0.014726779 0.0058132024 0.011174267 0.0054256557 0.008719804 0.0058132024 0.0063945227 0.0058777938 0.0040692417 0.0044567883 0.0052964734 0.0031003747 0.0044567883 0.0049089263 0.0036171037 0.0040692417 0.0049735177 0.0034233304 0.0048443354 0.0072342074 0.014855961 0.020281617 0.0043276064 0.016406149 0.01078672 0.011432632 0.009236533 0.0098824445 0.007815528 0.010463764 0.0036816949 0.003294148 0.00852603 0.008784395 0.0054256557 0.0062653404 0.014016277 0.0067174784 0.007750937 0.021185894 0.00852603 0.0048443354 0.015824828 0.012336907 0.0021315075 0.002777419 0.0021960987 0.0031649657 0.007105025 0.0049089263 0.006071567 0.00794471 0.0047797444 0.028743057 0.009042759 0.025836455 0.017245835 0.06394523 0.007750937 0.017310426 0.016793696 0.03190802 0.004263015 0.0034233304 0.027515825 0.0118201785 0.030357836 0.040627826 0.015372691 0.0017439608 0.03701072 0.024738407 0.04986436 0.016987469 0.007105025 0.0050381087 0.008073892 0.008073892 0.0022606899 0.0012918228 0.0013564139 0.0011626405 0.0011626405 0.001873143 6.024383 1.0 0.0 0.0 5.0 707584.0 765952.0 1.0 0.0 239.0 0.0 1.0 0.0 0.0 0.0 1258376300.0 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 -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 234496.0 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 29696.0 0.0 0.0 0.0 0.0 0.0 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 -234496.0 0.0 434176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1947575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9833343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.841161 0.0 4.443802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29550.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234132.0 0.0 433992.0 0.0 0.0 0.0 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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 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 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 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 -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 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 0.0 200.0 265688.0 433992.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 242800.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 256056.0 0.0 0.0 992.0 241664.0 0.0 0.0 0.0 0.0


Input: 0.023458013 0.007830417 0.004893621 0.0067668343 0.008913214 0.0048972564 0.0048853117 0.0065746834 0.008376749 0.0049071233 0.0035901095 0.0042013577 0.0069205556 0.004571638 0.004759115 0.009177033 0.008176289 0.0047025084 0.0026376634 0.0042647156 0.004927377 0.004063736 0.00281787 0.0039229984 0.005256631 0.00390638 0.0027581472 0.004206551 0.0048255892 0.004417917 0.003163742 0.0043550786 0.0058974805 0.0036487936 0.0032717618 0.0037085162 0.005397888 0.0027217942 0.003062473 0.003105577 0.0034166542 0.0036596993 0.0025171794 0.0033948424 0.0032058074 0.0027887875 0.002995999 0.0033818593 0.005816985 0.0056845564 0.003182957 0.004228363 0.0033553736 0.0034929954 0.0030417 0.0043800063 0.00469368 0.0053111603 0.0033621248 0.0052587083 0.0035786843 0.0038341933 0.0028064447 0.004653692 0.004579428 0.004847401 0.002684922 0.00437689 0.0041265744 0.0062599713 0.004049714 0.0044059725 0.0034015938 0.003167377 0.0018046623 0.0027347775 0.003363683 0.005163152 0.0034774155 0.0034041903 0.006338909 0.0039390973 0.002656359 0.0047289943 0.0029923639 0.0040325765 0.0040471177 0.0048977756 0.0034374273 0.0030557218 0.0016431515 0.0023525525 0.0028869403 0.004276141 0.002808522 0.0032525468 0.0041660434 0.00437741 0.002603907 0.0032525468 0.0028646092 0.0037100741 0.0033439484 0.0030468933 0.004080874 0.0029238127 0.0036378875 0.002614813 0.0029747067 0.0025187372 0.0026937507 0.004118785 0.004536843 0.0027680143 0.0032676072 0.003952081 0.0063846097 0.006689455 0.0031694544 0.0053168726 0.0039931075 0.002540549 0.0025587254 0.0031949014 0.0025260078 0.0039198822 0.0029186194 0.0049040075 0.0048515555 0.004539959 0.0033901685 0.007768617 0.004404415 0.004404934 0.0035869936 0.0036716438 0.004024267 0.014720852 0.0032400829 0.012946829 0.002486539 0.007618012 0.0027171203 0.003160626 0.0026859606 0.0026231222 0.0017683094 0.0025421071 0.0017303985 0.002337492 0.0017864859 0.0020736738 0.002554571 0.002545223 0.0019589025 0.0029367958 0.002032647 0.0026241608 0.0019599411 0.0027591859 0.0027301034 0.0026329893 0.0023644972 0.0025789794 0.0019988907 0.001804143 0.002397734 0.0024013694 0.0026522044 0.0023951374 0.0023281442 0.0025602835 0.0023026972 0.0018560757 0.0026070229 0.0025955979 0.003735002 0.002931083 0.0017579228 0.0027763236 0.001666002 0.0021811747 0.001831148 0.0024808263 0.0030848042 0.003030794 0.002261151 0.0037007262 0.0026568784 0.0030998646 0.0023541106 0.0041816235 0.006148835 0.00578219 0.0035366188 0.0051579587 0.003160626 0.0030302748 0.0030629924 0.0053210272 0.0029155035 0.0029715907 0.0019859076 0.0024922516 0.0024621307 0.0022549191 0.0022995812 0.0030333907 0.0031694544 0.003059357 0.0019407261 0.002867206 0.0023847509 0.0025348365 0.0019308588 0.0030027505 0.004034654 0.0033304458 0.0017241666 0.002734258 0.0027835942 0.0033803014 0.0029264092 0.004248097 0.0047154916 0.003879894 0.0027134852 0.0027285456 0.0025125055 0.0020300504 0.001750133 0.002434087 0.013893562 0.0038347126 0.0023748837 0.0053324527 0.0041359225 0.0022050636 0.003495592 0.0050977166 0.005153804 0.004170717 0.0018119329 0.0023255476 0.002786191 0.0028495488 0.0027981354 0.0041660434 0.004385719 0.0032904577 0.0028464328 0.0037277313 0.0033938037 0.0036757984 0.004414282 0.03626878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004760677 2.3387606e-06 5.197246e-06 2.0788984e-06 2.3387606e-06 3.3782098e-06 3.3782098e-06 5.197246e-06 5.9768327e-06 2.8584852e-06 3.3782098e-06 2.598623e-06 4.9373834e-06 4.417659e-06 6.4965575e-06 1.5591737e-06 0.0004651535 4.157797e-06 7.276144e-06 5.9768327e-06 2.8584852e-06 3.897934e-06 4.6775212e-06 2.598623e-06 1.0914217e-05 2.598623e-06 4.157797e-06 2.3387606e-06 4.157797e-06 2.8584852e-06 7.276144e-06 1.2993115e-06 0.0008565061 2.390733e-05 2.4427056e-05 1.8450222e-05 1.0654354e-05 1.1433941e-05 1.0914217e-05 1.01346295e-05 3.5860998e-05 8.835318e-06 1.01346295e-05 1.1693804e-05 1.0914217e-05 5.4571083e-06 7.795868e-06 7.276144e-06 0.0015646309 7.795869e-05 0.00016839076 5.119287e-05 3.0403888e-05 2.1828433e-05 2.5206642e-05 2.3387607e-05 2.4686919e-05 1.8450222e-05 2.494678e-05 1.8969948e-05 1.9489673e-05 2.1828433e-05 1.922981e-05 1.819036e-05 0.0015638513 0.000107063264 0.000118237345 5.535067e-05 2.6505953e-05 2.3387607e-05 2.598623e-05 2.2867882e-05 2.598623e-05 2.9884164e-05 2.1308708e-05 1.7670636e-05 2.156857e-05 2.2867882e-05 1.6371325e-05 2.9884164e-05 0.0003541923 1.819036e-06 3.3782098e-06 7.7958686e-07 1.5591737e-06 2.598623e-07 1.5591737e-06 0.00010238574 1.7150911e-05 0.00014318412 0.0 0.0 2.494678e-05 0.0 1.1953665e-05 0.0004012274 0.00082038523 2.9624302e-05 4.1058243e-05 3.5860998e-05 1.5331876e-05 9.614905e-06 6.236695e-05 7.821855e-05 2.156857e-05 3.4821547e-05 5.4571083e-06 4.6775212e-06 8.8093315e-05 8.5754555e-06 4.75548e-05 0.00029338454 0.0013239984 0.00019125864 0.00023647469 0.00011667817 4.0018793e-05 3.8979346e-05 0.00016293366 0.00018632127 5.664998e-05 0.000109142165 0.00014734193 0.00030819667 0.00022244212 7.8738274e-05 0.00079647795 0.0013063278 0.00077646854 0.00010992175 0.00016007517 0.00017566691 4.5475903e-05 3.871948e-05 0.00015981532 0.00010550409 0.00010160616 5.561053e-05 0.00020996873 9.952726e-05 0.00018138388 5.5870394e-05 0.00032300883 0.00059456495 0.00052830006 7.0682545e-05 0.00012551348 0.0001288917 5.119287e-05 4.5995625e-05 0.00014786165 9.355043e-05 0.0001268128 5.9248603e-05 0.00021880405 0.00024089235 9.458987e-05 4.4436452e-05 0.00018866002 0.0004955574 0.002713742 0.0012047216 0.0010792081 0.007725446 0.001137937 0.0010511429 0.0012177147 0.0013634975 0.0011886101 0.00094252056 0.0009996903 0.0011506702 0.00096097076 0.001064396 0.0012369446 0.0026370825 0.0019286979 0.000822724 0.00083363825 0.001468222 0.0006616094 0.00056961813 0.0012704667 0.0010111242 0.00058157183 0.00036640585 0.0003570508 0.0004025267 0.00041655925 0.00039629 0.0004204572 0.00073359127 0.10132109 0.065792456 0.053400923 0.05685241 0.059759233 0.055454873 0.049736083 0.059605654 0.08538659 0.035168722 0.036228962 0.041493773 0.053598158 0.044373564 0.06009108 0.08159806 10318.0 6.749661 69643.0 0.020016368 0.006763063 0.008198958 0.0071794726 0.012980486 0.007725112 0.0064328075 0.006777422 0.008198958 0.0066481917 0.0058584497 0.0074953693 0.008644084 0.007294344 0.009318955 0.010381517 0.018896371 0.014804072 0.012693307 0.014847149 0.012521 0.013224589 0.010841004 0.012549718 0.01483279 0.0134974085 0.011472797 0.012894332 0.0123056155 0.01197536 0.009103571 0.011142542 0.009419468 0.012894332 0.006791781 0.0123056155 0.012205103 0.011415361 0.00857229 0.010223568 0.0084574185 0.009419468 0.0050399895 0.006518961 0.009950749 0.009376391 0.008730238 0.008873828 0.013640998 0.010266646 0.009577416 0.01321023 0.008816392 0.008285111 0.009893313 0.0115158735 0.009132289 0.00789742 0.0053415275 0.0052984506 0.0073374207 0.007050242 0.0056143473 0.009318955 0.0103528 0.017029708 0.008371265 0.013095357 0.012406128 0.020274831 0.009362032 0.010496389 0.012521 0.015636891 0.008342547 0.008112804 0.012836897 0.00926152 0.01197536 0.016110737 0.013928177 0.0070933187 0.014990739 0.01590971 0.020619445 0.014143561 0.0070933187 0.013684074 0.010252287 0.008084086 0.006317936 0.0063753715 0.0058010137 0.006030757 0.0048533236 0.008730238 6.5055156 2.0 22.0 0.0 16.0 1925568.0 3317760.0 0.0 0.0 3.0 1.0 1.0 1.0 0.0 0.0 1541459200.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1871872.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1870848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.795668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.379412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1871872.0 0.0 0.0 0.0 0.0 0.0 1396736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284.0 3317052.0 44348.0 3272704.0 0.0 0.0 9152.0 1916416.0 16.0 3317336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 152.0 3271284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.45825195 0.009765625 0.0075683594 0.0068359375 0.0048828125 0.0017089844 0.0031738281 0.001953125 0.0024414062 0.00390625 0.0043945312 0.0021972656 0.005126953 0.005126953 0.0031738281 0.0024414062 0.0068359375 0.0012207031 0.0031738281 0.0012207031 0.004638672 0.0017089844 0.0014648438 0.0009765625 0.0014648438 0.0026855469 0.0009765625 0.0017089844 0.0026855469 0.0009765625 0.0021972656 0.0007324219 0.005859375 0.0021972656 0.0014648438 0.0012207031 0.0024414062 0.0017089844 0.0007324219 0.0014648438 0.0024414062 0.0024414062 0.0024414062 0.001953125 0.0 0.0017089844 0.0031738281 0.0007324219 0.0026855469 0.001953125 0.0031738281 0.00390625 0.00024414062 0.0014648438 0.0012207031 0.0031738281 0.0029296875 0.0021972656 0.001953125 0.0009765625 0.0021972656 0.0014648438 0.0014648438 0.0009765625 0.008300781 0.0043945312 0.0034179688 0.0017089844 0.0034179688 0.0041503906 0.0024414062 0.001953125 0.0034179688 0.0017089844 0.0009765625 0.0014648438 0.00390625 0.0024414062 0.0024414062 0.0014648438 0.0073242188 0.0031738281 0.0034179688 0.0041503906 0.0021972656 0.0024414062 0.0034179688 0.00390625 0.0009765625 0.0012207031 0.001953125 0.0007324219 0.0012207031 0.0009765625 0.0024414062 0.0026855469 0.0026855469 0.0041503906 0.0021972656 0.0036621094 0.00390625 0.0053710938 0.0021972656 0.0021972656 0.0029296875 0.0029296875 0.0021972656 0.0009765625 0.0034179688 0.001953125 0.0036621094 0.0043945312 0.0063476562 0.0009765625 0.0063476562 0.0073242188 0.0043945312 0.0041503906 0.0009765625 0.001953125 0.0029296875 0.0009765625 0.0012207031 0.00048828125 0.0007324219 0.0014648438 0.0012207031 0.00048828125 0.0078125 0.0021972656 0.0007324219 0.00390625 0.001953125 0.0034179688 0.0007324219 0.0012207031 0.0017089844 0.0026855469 0.001953125 0.006591797 0.0007324219 0.0024414062 0.0009765625 0.00048828125 0.00390625 0.0021972656 0.0007324219 0.00048828125 0.00048828125 0.0024414062 0.00048828125 0.00048828125 0.00048828125 0.001953125 0.00048828125 0.00024414062 0.0007324219 0.0021972656 0.0014648438 0.0007324219 0.0012207031 0.0007324219 0.00048828125 0.00048828125 0.0036621094 0.0017089844 0.0012207031 0.00048828125 0.00024414062 0.0009765625 0.0021972656 0.0024414062 0.001953125 0.0009765625 0.00048828125 0.0009765625 0.0012207031 0.00048828125 0.0009765625 0.00048828125 0.0014648438 0.0014648438 0.0007324219 0.0017089844 0.0014648438 0.0026855469 0.00048828125 0.0007324219 0.00024414062 0.001953125 0.0012207031 0.001953125 0.0031738281 0.0026855469 0.0017089844 0.0029296875 0.0017089844 0.0007324219 0.0007324219 0.0041503906 0.0029296875 0.0017089844 0.0014648438 0.00024414062 0.0012207031 0.0014648438 0.0009765625 0.0012207031 0.0012207031 0.0012207031 0.001953125 0.0007324219 0.0017089844 0.0009765625 0.0 0.0009765625 0.0012207031 0.0007324219 0.0012207031 0.0012207031 0.00048828125 0.00048828125 0.0009765625 0.0012207031 0.0014648438 0.001953125 0.0017089844 0.00048828125 0.0007324219 0.00024414062 0.00024414062 0.001953125 0.006591797 0.0012207031 0.001953125 0.0043945312 0.0007324219 0.00024414062 0.00048828125 0.00048828125 0.0014648438 0.0007324219 0.001953125 0.0021972656 0.001953125 0.0012207031 0.0017089844 0.0017089844 0.0024414062 0.0017089844 0.0014648438 0.0012207031 0.0012207031 0.0009765625 0.0021972656 0.004638672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2265625 0.009277344 0.009765625 0.007975261 0.01171875 0.008626302 0.015625 0.0100911455 0.005533854 0.0034179688 0.0035807292 0.0045572915 0.005533854 0.0024414062 0.004231771 0.0043945312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.24479167 0.029947916 0.025065104 0.029622396 0.03857422 0.0398763 0.03531901 0.033528645 0.038411457 0.018717447 0.01969401 0.017578125 0.027669271 0.016601562 0.022949219 0.028320312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8.71875 279.0 0.04659498 0.0 0.0 0.0035842294 0.0035842294 0.0 0.0 0.0 0.0 0.0 0.0035842294 0.0 0.0 0.0035842294 0.017921148 0.0 0.007168459 0.0 0.014336918 0.014336918 0.0 0.007168459 0.0 0.007168459 0.0035842294 0.007168459 0.007168459 0.0035842294 0.0 0.0 0.0035842294 0.007168459 0.007168459 0.028673835 0.010752688 0.014336918 0.0035842294 0.025089607 0.0035842294 0.007168459 0.0035842294 0.007168459 0.0 0.0035842294 0.017921148 0.007168459 0.014336918 0.0035842294 0.021505376 0.007168459 0.010752688 0.035842296 0.007168459 0.0035842294 0.014336918 0.007168459 0.0035842294 0.0035842294 0.0035842294 0.0 0.0035842294 0.0035842294 0.0 0.0035842294 0.007168459 0.032258064 0.014336918 0.021505376 0.028673835 0.043010753 0.007168459 0.010752688 0.007168459 0.032258064 0.0 0.0035842294 0.035842296 0.014336918 0.021505376 0.039426524 0.025089607 0.0 0.06451613 0.043010753 0.017921148 0.025089607 0.0 0.010752688 0.014336918 0.010752688 0.010752688 0.0035842294 0.0035842294 0.0035842294 0.0 0.0 5.673955 0.0 0.0 0.0 1.0 4096.0 36864.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1342570500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 3.0 10.0 512.0 1024.0 4096.0 3.0 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 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 512.0 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 6.1274943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.446246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.06219 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11638.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 205.0 32768.0 1024.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.007778532 0.0039734067 0.003860686 0.0039396305 0.003942828 0.0038740765 0.003878873 0.0038410998 0.0039322358 0.0038730772 0.003904655 0.003843498 0.0038614853 0.003857688 0.0038712786 0.00396841 0.003887467 0.0038369026 0.0038760751 0.0039124493 0.0039254404 0.003955819 0.003936433 0.003884869 0.0039026565 0.0038854685 0.00386928 0.0039150477 0.0038672814 0.003894662 0.0039054544 0.0038812715 0.003882071 0.003849294 0.0038906648 0.003873477 0.003889066 0.003967411 0.0038548901 0.0038994588 0.003874876 0.0038628844 0.0038049251 0.0038912646 0.0039028563 0.0039156475 0.0038870673 0.003880472 0.0039040553 0.0038582876 0.00391205 0.003876475 0.0039228424 0.0038992588 0.0038628844 0.0038650827 0.0038542903 0.003867881 0.0038856685 0.0039426284 0.003873477 0.003910651 0.003914248 0.0039070533 0.004019774 0.0039058542 0.0039901948 0.0039156475 0.0038950618 0.0039865975 0.0038908648 0.0038844692 0.0039056544 0.003817916 0.003824911 0.003879073 0.003916247 0.003920244 0.0038440975 0.003913249 0.004005984 0.0039028563 0.0038630844 0.003960016 0.0038838696 0.0039022567 0.003918445 0.003946026 0.0038968604 0.0038654825 0.003876275 0.0039192447 0.0038828703 0.003914448 0.003903256 0.003820714 0.0038672814 0.0038866678 0.003839501 0.0039104507 0.0038872673 0.0040063835 0.0039006579 0.003866082 0.003894662 0.0038808717 0.0039454265 0.0038966606 0.0039122496 0.00392604 0.0038954616 0.0039566187 0.0038844692 0.0038638837 0.0039254404 0.0038712786 0.0040007876 0.0039935927 0.003829308 0.003894862 0.0038930632 0.003856489 0.003886268 0.003823712 0.003889066 0.0039566187 0.0038866678 0.0038914643 0.0039606155 0.0038968604 0.0038405 0.003974406 0.0038399005 0.0038722777 0.0038642834 0.0038480947 0.0038526915 0.0039318358 0.003859487 0.0039468254 0.0038856685 0.0039058542 0.0038978597 0.0038684804 0.003857688 0.0039058542 0.0039004579 0.0038706788 0.003856289 0.00386928 0.0038722777 0.0038538908 0.0038986593 0.0038426986 0.0038924636 0.0038664818 0.003907853 0.003830907 0.0038816712 0.0038624846 0.0039000583 0.0038724777 0.0038454966 0.003849094 0.0038672814 0.0038317062 0.0038371026 0.003884869 0.0038630844 0.0039462256 0.0038744763 0.0038670814 0.0038428984 0.0039086523 0.003863484 0.003853291 0.0039022567 0.0038906648 0.0038928634 0.0039056544 0.003853491 0.003910651 0.0038438977 0.0038910646 0.003893263 0.0038740765 0.0038474952 0.0038482947 0.0038824705 0.003830907 0.0038908648 0.0038664818 0.003930437 0.0038898655 0.0038414993 0.0039108507 0.0038247113 0.0038716781 0.003907653 0.003861885 0.0039062537 0.0038952616 0.0038638837 0.003843698 0.0039026565 0.0038584876 0.003853291 0.0038590871 0.0038424986 0.0039156475 0.0038355037 0.0038742763 0.0038686802 0.0038099217 0.0038516922 0.0038646832 0.0038570885 0.003937432 0.0038774742 0.0038834698 0.003920444 0.0039294376 0.003891864 0.0038872673 0.0038866678 0.0038610857 0.003914648 0.0038259104 0.0038744763 0.0038255106 0.0038982595 0.0038898655 0.0040473547 0.003913049 0.0038756754 0.0039384314 0.003965812 0.0038650827 0.0038902652 0.003918645 0.0038926634 0.0037931334 0.003844897 0.0038630844 0.0038424986 0.0038750758 0.003860486 0.0038822708 0.0038836699 0.003920444 0.0038414993 0.0038778738 0.0038826705 0.0039016572 0.0040377616 0.004482049 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00019051465 9.995522e-08 2.9986566e-07 9.995522e-08 9.995522e-08 0.0 0.0 6.9968655e-07 1.4993283e-06 0.0 0.0 0.0 4.997761e-07 0.0 9.995522e-08 1.0795164e-05 0.0001926137 8.9959696e-07 9.995522e-07 7.996418e-07 1.4993283e-06 1.9991045e-07 1.3993731e-06 3.998209e-07 2.8987013e-06 2.9986566e-07 9.995522e-07 1.9991045e-07 1.9991045e-07 2.9986566e-07 6.9968655e-07 2.9986566e-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 0.00034804406 3.4984328e-06 4.098164e-06 4.4979847e-06 3.5983878e-06 6.9968655e-06 2.3989253e-06 3.2985222e-06 3.7982984e-06 1.5992836e-06 2.698791e-06 3.4984328e-06 1.5992836e-06 1.3993731e-06 2.3989253e-06 1.5992835e-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 0.00014663431 3.698343e-06 4.6978953e-06 2.199015e-06 3.698343e-06 5.397582e-06 5.997313e-06 3.9982087e-06 8.496194e-06 1.9991045e-07 6.9968655e-07 2.9986566e-07 2.4988806e-06 3.998209e-07 2.199015e-06 1.359391e-05 0.00038202884 8.596149e-06 2.3089657e-05 1.4593462e-05 1.7692075e-05 1.169476e-05 6.2372055e-05 3.4184686e-05 9.895567e-06 4.59794e-06 3.9982087e-06 2.5988356e-06 6.1972237e-06 8.9959696e-07 1.1194985e-05 2.049082e-05 0.00068069506 2.488885e-05 2.7987462e-05 2.4988805e-05 8.136355e-05 4.9078015e-05 0.00020091 0.00012974188 3.8382805e-05 1.0595253e-05 1.27942685e-05 9.595701e-06 2.4389074e-05 1.0195433e-05 3.6083835e-05 7.126807e-05 0.0003580396 2.0190955e-05 3.0686253e-05 2.1290462e-05 5.6374745e-05 3.4184686e-05 0.00012234518 8.1463506e-05 1.2494403e-05 1.1394895e-05 9.19588e-06 8.496194e-06 5.5974924e-06 4.997761e-06 4.7978506e-06 3.72833e-05 0.0005863373 5.497537e-05 4.787855e-05 4.8078462e-05 5.9973132e-05 5.1976713e-05 4.657913e-05 3.868267e-05 4.2980744e-05 1.4893328e-05 2.5188716e-05 2.6188267e-05 2.6688043e-05 1.20945815e-05 3.268536e-05 0.000113049355 0.00030796204 5.0477385e-05 6.2372055e-05 3.4384597e-05 5.26764e-05 3.8282848e-05 2.9286879e-05 3.1885716e-05 3.7583162e-05 2.318961e-05 3.6483656e-05 5.4275686e-05 3.158585e-05 1.6392656e-05 1.9491268e-05 0.00019721164 0.00082702946 0.00014543484 8.506189e-05 0.0001464344 0.00021370426 0.0001790198 0.00013723852 0.00018801577 0.00022359983 5.8373847e-05 8.256301e-05 6.746977e-05 0.00012194537 6.9568836e-05 0.00015163206 0.00037353265 0.0005611486 0.00013533937 9.265849e-05 0.00012384451 0.00021440395 0.00017572127 8.006413e-05 0.0001810189 0.00022349987 3.8382805e-05 4.178128e-05 3.968222e-05 0.000104453204 4.6978952e-05 0.00011814707 0.00027937483 0.06154553 0.06189237 0.061751235 0.061841697 0.06180921 0.06191296 0.06178462 0.061657578 0.06164728 0.06181191 0.06169696 0.061818205 0.061701156 0.061889775 0.062016018 0.061555125 23388.0 5.7095094 133534.0 0.010364401 0.00984019 0.010207138 0.010297003 0.010678928 0.010446778 0.010027409 0.010184672 0.010304492 0.00972786 0.010252071 0.010177183 0.010199649 0.009765303 0.010177183 0.009937544 0.010042386 0.010177183 0.009862657 0.0104318 0.009974987 0.010109785 0.0101921605 0.010169694 0.009682927 0.0104168225 0.010386867 0.010716372 0.0101921605 0.010446778 0.010177183 0.010012431 0.009817724 0.01154762 0.010521665 0.010911079 0.009937544 0.009952522 0.01090359 0.010896102 0.010004942 0.010536643 0.010439289 0.010289514 0.010356912 0.010222116 0.009907589 0.010686417 0.010851169 0.010124763 0.010574086 0.010881124 0.010259559 0.010147229 0.010401845 0.009982476 0.010536643 0.010326958 0.0097727915 0.010267048 0.010334447 0.010027409 0.010282026 0.00966795 0.009697905 0.010828703 0.010356912 0.010985966 0.011000943 0.013307473 0.010304492 0.010813725 0.010484221 0.011120764 0.01049171 0.010199649 0.011210628 0.011008432 0.0116075305 0.011809726 0.010761304 0.009810235 0.011367891 0.01078377 0.01231896 0.010738838 0.010162205 0.010297003 0.010529154 0.010072341 0.0101921605 0.009705394 0.010109785 0.010566597 0.010027409 0.010379379 6.582938 1.0 1.0 0.0 82.0 5003515.0 217088.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23040.0 1024.0 4096.0 5.0 1.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 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 -23040.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 4.9096727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 28192.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 28192.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.16050115 0.009122747 0.0051226164 0.0041593197 0.0071961535 0.0037368566 0.0029205035 0.002544981 0.007285952 0.0024490596 0.00362869 0.0020327193 0.0052940506 0.0036878756 0.0018429173 0.0072635026 0.008843146 0.002075578 0.0023959966 0.0016816875 0.0030266293 0.002510286 0.0019898608 0.0014857628 0.005930806 0.0017510776 0.0014878036 0.0016633197 0.0024572231 0.0015898478 0.0018388355 0.00198782 0.017480163 0.002163336 0.002614371 0.0024123236 0.0043001403 0.0023143613 0.001532703 0.0017878135 0.0025755942 0.0023470153 0.0018204676 0.0026694748 0.0030062206 0.0026470253 0.0019327161 0.0013816778 0.005114453 0.0022796663 0.002285789 0.0055614063 0.0022551757 0.0022694618 0.0021184366 0.001953125 0.0027041698 0.0025572265 0.0022633392 0.0043552443 0.0030572426 0.0037940014 0.003538891 0.003642976 0.005810394 0.004289936 0.004006253 0.008106387 0.007063496 0.010971786 0.0039348225 0.002965403 0.0034695012 0.0033062303 0.0024347734 0.0020817006 0.0034348061 0.004706276 0.0029531578 0.0023306883 0.00672675 0.00332868 0.0066696056 0.0035144005 0.003977681 0.0039123725 0.00397564 0.0032368405 0.0021612952 0.0037715517 0.0015449484 0.0029572395 0.002038842 0.00390625 0.0030021388 0.0027653964 0.0020592508 0.005063431 0.0053613996 0.0025266132 0.004736889 0.008475787 0.005506302 0.0032184725 0.0038940047 0.0046287226 0.005175679 0.0019959835 0.0052226195 0.0035511365 0.005008327 0.0040858476 0.0026470253 0.0012694292 0.0044368794 0.0050715944 0.009912568 0.008955395 0.001985779 0.0017633229 0.0019388389 0.0017816909 0.0012816745 0.00120208 0.0016714832 0.002267421 0.0018429173 0.0017163826 0.003312353 0.0022204807 0.0018551627 0.008634976 0.003014384 0.007792091 0.0012286116 0.0011286082 0.002406201 0.0070349234 0.0021735404 0.02286197 0.0015776026 0.0069165523 0.0010959541 0.0010571774 0.0027776416 0.0013571872 0.0012775927 0.0012367751 0.0014429042 0.001255143 0.0010469729 0.00090411113 0.0013061651 0.0011530989 0.001010237 0.001100036 0.001289838 0.0013735142 0.0010592183 0.001412291 0.0017551593 0.002055169 0.001446986 0.0016674014 0.0015143352 0.0014755584 0.0012163663 0.0012306524 0.002055169 0.0013816778 0.001481681 0.0014000457 0.0013204513 0.0011653441 0.0011653441 0.0011449354 0.0018388355 0.0012122844 0.0014245363 0.0015939296 0.0014918854 0.0015898478 0.0024449779 0.0017776091 0.0025266132 0.0016674014 0.0016102566 0.0015551528 0.0022470122 0.0016490334 0.0017041373 0.0014714766 0.0068063447 0.0035980768 0.0030878559 0.00418381 0.0030449973 0.0018572035 0.002979689 0.0030103023 0.0027674374 0.0032001045 0.0017347506 0.0014571905 0.008363538 0.0015061717 0.0019653703 0.0015959705 0.0020653736 0.0015592346 0.0017469958 0.0013571872 0.0015755617 0.0012082027 0.0015224987 0.001446986 0.0024653866 0.0019898608 0.0015061717 0.002179663 0.0020184333 0.0020163923 0.001955166 0.0017490367 0.0027123336 0.0015959705 0.0015714798 0.0013531054 0.0021959902 0.0021061911 0.001446986 0.0013837187 0.013373906 0.002879686 0.0015714798 0.0038082877 0.0037593064 0.0011081995 0.0012918789 0.001255143 0.0036531806 0.0017184234 0.0016184202 0.0017776091 0.0027123336 0.0015898478 0.0037042026 0.0023959966 0.00455321 0.0025511037 0.0021123139 0.0023817103 0.0057777395 0.0026062075 0.0038470645 0.06362045 0.012538694 3.4804114e-05 3.0709512e-06 1.0236504e-06 0.0 0.0 1.0236504e-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 0.0018384762 0.00011874345 0.00010645964 3.2756812e-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 0.0018394998 0.0 0.0 1.0236504e-06 2.0473008e-06 2.8662213e-05 2.0473008e-06 2.0473008e-06 3.4804114e-05 1.0236504e-06 2.7638562e-05 1.0236504e-06 3.4804114e-05 2.661491e-05 3.3780463e-05 6.141903e-05 0.0034302527 0.00011874345 0.000125909 0.00012283806 0.00015047661 6.2442676e-05 2.252031e-05 1.2283805e-05 2.7638562e-05 9.212854e-06 1.3307455e-05 2.0473008e-05 1.2283805e-05 1.3307455e-05 3.5827765e-05 1.5354757e-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 0.006137808 0.00030402417 0.00040331826 0.000105436 0.00021906118 0.0001340982 0.00039922367 0.0002354396 5.015887e-05 1.5354757e-05 4.4016968e-05 2.354396e-05 5.6300774e-05 2.7638562e-05 2.9685862e-05 0.00020063548 0.017322212 0.0009765625 0.0022909297 0.0003347337 0.0012355461 0.00037670336 0.0030095323 0.0014945297 0.00026103086 0.00015764216 9.417584e-05 0.000103388695 8.393933e-05 8.2915685e-05 6.5513625e-05 0.0014607492 0.0068564103 0.0021599024 0.0028979543 0.0035950602 0.0022233687 0.00030607148 0.0012938941 0.00070734246 0.00017811517 0.00010236504 3.7875066e-05 4.0946015e-05 6.141903e-05 7.165553e-05 4.708792e-05 0.004577765 0.018363265 0.001106566 0.0076876148 0.0029501605 0.008041798 0.0028887414 0.007881084 0.004120193 0.00064694707 0.00039717637 0.00024669975 0.0011352283 0.0003838689 0.00045961904 0.00043505142 0.004052632 0.013521398 0.0011342047 0.0025888118 0.00178627 0.004834701 0.0012631846 0.004989272 0.0028129914 0.000357254 0.00033780464 0.00022622674 0.0008977414 0.0006162376 0.00022622674 0.00047804473 0.0016654793 0.014429376 0.0016153203 0.0020227332 0.009509712 0.0057150405 0.0027392886 0.0022479363 0.0018302869 0.0018057193 0.0011147553 0.0025284165 0.0031589852 0.0020350171 0.004079247 0.0021425004 0.012208055 0.015933119 0.00080458925 0.0011557013 0.0027485015 0.007697851 0.0042143688 0.0015815399 0.0017872936 0.0055748 0.001300036 0.0026225923 0.0026307816 0.0051213233 0.0025458187 0.003548996 0.020397259 0.053437624 0.008172825 0.014615681 0.00914734 0.017004881 0.016571878 0.027517771 0.015432553 0.025331253 0.004181612 0.004202085 0.005393614 0.014624894 0.005582989 0.011359449 0.025285188 0.03415 0.008316136 0.006356869 0.0069383024 0.011909149 0.013878653 0.0067253835 0.009241516 0.02225109 0.00251818 0.0026451126 0.0032746578 0.012963509 0.004765093 0.010549741 0.019617237 0.028124794 0.017925143 0.012817127 0.011925528 0.0129860295 0.015146955 0.014965769 0.012155849 0.017979397 0.010862978 0.010817938 0.01118031 0.015244202 0.0105292685 0.01477537 0.017364182 2805.0 14.018182 39321.0 0.1674932 0.0015259022 0.0017039242 0.001627629 0.004806592 0.0009155413 0.0012207218 0.0041962313 0.0056967014 0.0045014117 0.0017293558 0.0013478802 0.007832965 0.0018056509 0.009308004 0.0013224486 0.0058747237 0.0051880674 0.005264363 0.0048574554 0.0051117726 0.0052897944 0.0041962313 0.00478116 0.005569543 0.004730297 0.004043641 0.004170799 0.0055186795 0.006917423 0.0043996847 0.004882887 0.008087282 0.010503293 0.0035350067 0.01060502 0.008875664 0.01358053 0.003941914 0.004450548 0.0035858701 0.012995601 0.002136263 0.0012970169 0.013605962 0.005315226 0.010833906 0.0076040793 0.01253783 0.0020853996 0.0147503875 0.011011927 0.021540653 0.005060909 0.004603138 0.0053660893 0.0035350067 0.002492307 0.0017039242 0.0053660893 0.0021108314 0.0057221334 0.0015767656 0.005035477 0.003178963 0.03735917 0.0074769207 0.014953841 0.028559802 0.061926197 0.010961064 0.010910201 0.0066631064 0.025991201 0.007680374 0.0043488215 0.022608785 0.017268127 0.029983979 0.030085705 0.00956232 0.0017547875 0.027949441 0.032171104 0.04272526 0.01670863 0.0043233894 0.0034587116 0.003840187 0.0062307674 0.001627629 0.0010935633 0.0019582412 0.0012207218 0.0009155413 0.0012207218 5.553934 1.0 0.0 0.0 4.0 489984.0 548864.0 1.0 0.0 107.0 1.0 1.0 0.0 1.0 0.0 1510657700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 226816.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -227840.0 0.0 148992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.616907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.115382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.219239 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.731971 0.0 6.896742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47454.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -227629.0 0.0 148560.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 278316.0 148560.0 385024.0 0.0 0.0 0.0 0.0 9396.0 536576.0 84.0 269712.0 0.0 0.0 0.0 0.0 24.0 269892.0 64.0 269800.0 0.0 0.0 448.0 233472.0 0.0 0.0 0.0 0.0