Input: 0.035317454 0.00598689 0.0049622296 0.0044160592 0.004927602 0.004034632 0.003968 0.0037597101 0.0048127016 0.0038426064 0.0042922394 0.0038468037 0.0038751352 0.0039422917 0.004189406 0.003989511 0.0047193123 0.0038210952 0.0037256072 0.0036453344 0.0038714625 0.003924453 0.003715114 0.0036002137 0.003782795 0.003618052 0.0036762892 0.0037187866 0.0038006336 0.003704621 0.0036726166 0.0034554077 0.004389826 0.0035787027 0.0035021023 0.0035855232 0.005558243 0.0036595003 0.003610707 0.003625922 0.0037764993 0.0036553028 0.003685733 0.0038688392 0.00382949 0.0037140648 0.0037528896 0.0036149041 0.0036988496 0.00352886 0.0036437605 0.003996856 0.003787517 0.0036731414 0.0036605494 0.0035802766 0.0036909797 0.003553519 0.003718262 0.003690455 0.003684684 0.0035986397 0.0035524697 0.0036626481 0.0045083994 0.0040010535 0.0036421863 0.00410651 0.004175765 0.0040855235 0.0037387237 0.0036316933 0.0038929738 0.004061914 0.0037560374 0.0037927637 0.0041059856 0.003749217 0.0037308538 0.0036143796 0.004104936 0.0038273912 0.0038903505 0.003690455 0.0040042014 0.0036017876 0.0037775487 0.003596541 0.0037177373 0.003527286 0.0036941278 0.0036815358 0.0038457543 0.0036762892 0.0036841591 0.003610182 0.0037455442 0.003602837 0.003553519 0.0036096575 0.0037497417 0.003912911 0.004132743 0.003576604 0.0038740858 0.0037796472 0.004072932 0.0036511056 0.0039239284 0.004009973 0.0038127007 0.0036867824 0.0036647466 0.0035634874 0.0037980103 0.0036689441 0.004005251 0.003741347 0.003678388 0.003803257 0.0035865726 0.0035367298 0.0035870972 0.0034564568 0.003630644 0.0035110216 0.0035178422 0.0034354706 0.004981642 0.0038121762 0.0040535196 0.0043426068 0.0037785978 0.0039286506 0.0036343166 0.0035267612 0.0039102873 0.004169994 0.0039286506 0.0050503723 0.0038263418 0.00413012 0.0037770239 0.0034958064 0.0038441804 0.0036311685 0.003992659 0.0034700981 0.003747643 0.0037030468 0.0037035716 0.0035954916 0.0036600248 0.0038237185 0.0036295946 0.0036269713 0.003684684 0.0036453344 0.003637989 0.0034018923 0.0036972756 0.0038530994 0.0036248725 0.003624348 0.003619626 0.0036406124 0.0036469083 0.003465376 0.0037423964 0.003704621 0.0038258173 0.0036143796 0.0037974857 0.0037518402 0.0037796472 0.0035634874 0.0036532043 0.0036390384 0.00366737 0.0035341065 0.0037423964 0.003630644 0.0038300145 0.0035393531 0.0037051456 0.0035676847 0.003656877 0.0036154287 0.0037098676 0.0036621236 0.003596541 0.0035650614 0.004133268 0.004023089 0.003830539 0.003696751 0.0039344216 0.0036600248 0.0038426064 0.0037130155 0.00382162 0.0037166881 0.0037654813 0.003734002 0.004129595 0.0036930784 0.0037544635 0.0034952818 0.0036295946 0.0038163734 0.0037618089 0.0036600248 0.003685733 0.0036652714 0.003844705 0.0036484823 0.0036694687 0.0037088182 0.0037130155 0.0039795423 0.0036526795 0.0037250826 0.0036154287 0.0035015775 0.0037114415 0.0036264467 0.0036553028 0.0036133302 0.0037040962 0.0037098676 0.0036820606 0.0035000036 0.0038221446 0.0036453344 0.0036610742 0.0037591856 0.0037408224 0.0036600248 0.0036358905 0.0035278106 0.0036741907 0.003481116 0.0036280206 0.0035388286 0.003618052 0.0035304339 0.0035996889 0.0036883564 0.0037303292 0.0035367298 0.0035461737 0.0034370446 0.0034307486 0.0034218293 0.0034753447 0.0052261334 0.003751365 0.0 2.625168e-07 0.0 1.8376176e-06 5.250336e-07 6.56292e-06 2.625168e-06 0.0 0.0 0.0 0.0 2.625168e-07 0.0 0.0 0.0 0.0015370359 2.1001344e-05 1.6801076e-05 8.925571e-06 2.3626512e-06 2.3626512e-06 1.1288223e-05 6.56292e-06 7.875504e-07 5.250336e-07 2.625168e-07 2.625168e-07 2.625168e-07 0.0 2.625168e-07 4.200269e-06 0.0014561807 4.6465473e-05 4.3052754e-05 3.6752353e-05 2.3626512e-06 5.250336e-07 6.56292e-06 3.937752e-06 0.0 2.625168e-07 0.0 0.0 0.0 0.0 0.0 1.6801076e-05 0.00096474926 2.9926916e-05 1.6538559e-05 6.0378866e-06 7.6129872e-06 4.4627855e-06 1.02381555e-05 6.300403e-06 2.625168e-06 2.3626512e-06 1.8376176e-06 5.512853e-06 5.7753696e-06 2.8876848e-06 3.1502016e-06 5.250336e-06 0.0013556367 6.510417e-05 1.02381555e-05 9.7131215e-06 7.875504e-06 1.2863323e-05 1.02381555e-05 9.975638e-06 2.4939096e-05 1.2863323e-05 6.8254367e-06 6.0378866e-06 2.8876848e-05 4.7253025e-06 8.663054e-06 3.8327453e-05 0.0012440671 6.142893e-05 3.0976982e-05 7.245463e-05 1.7851142e-05 8.138021e-06 7.639239e-05 3.43897e-05 6.8254367e-06 4.7253025e-06 6.8254367e-06 6.8254367e-06 9.188088e-06 9.7131215e-06 8.663054e-06 1.4438424e-05 0.002665333 7.560484e-05 0.000112882226 5.3553427e-05 6.667927e-05 4.6990506e-05 0.00014149655 0.00025254115 0.00013572119 1.6276043e-05 1.233829e-05 1.233829e-05 1.7326109e-05 1.6538559e-05 1.1813256e-05 0.00012600806 0.0014792822 8.0330145e-05 4.8040576e-05 4.777806e-05 4.8828126e-05 3.8852486e-05 0.00012522051 8.269279e-05 2.2313929e-05 2.625168e-05 2.7826782e-05 2.3626511e-05 2.6776714e-05 2.3626511e-05 2.2838962e-05 2.625168e-05 0.0023169732 0.00019820018 0.00015120968 0.00022392684 4.8303093e-05 4.9878192e-05 5.93288e-05 4.2790238e-05 4.7253023e-05 9.791877e-05 4.4627857e-05 4.6990506e-05 5.250336e-05 5.7228663e-05 5.8016212e-05 0.00026829218 0.001008327 5.066574e-05 3.9115002e-05 3.12395e-05 0.00012915826 5.5128527e-05 0.00029795658 0.00019610005 9.4506046e-05 3.202705e-05 2.5201613e-05 6.56292e-06 2.96644e-05 9.450605e-06 1.1550739e-05 0.00013388357 0.0016659317 0.00017431115 4.9090642e-05 0.00012679561 8.741809e-05 3.1502015e-05 0.00022733955 0.0001438592 9.109333e-05 0.00015646001 1.6013524e-05 1.312584e-05 0.00015094716 1.8638693e-05 4.751554e-05 0.00022576445 0.00054787257 7.8230005e-05 6.300403e-05 2.96644e-05 8.269279e-05 6.746682e-05 0.00017982401 8.505544e-05 8.269279e-05 6.87794e-05 4.7253025e-06 3.12395e-05 5.329091e-05 4.042759e-05 1.3913391e-05 0.00018402428 0.0007300592 5.749118e-05 0.00023022723 1.4438424e-05 0.00019741264 7.3504702e-06 0.00017011088 1.1550739e-05 6.379158e-05 0.00011130713 1.890121e-05 0.00013834635 3.2289565e-05 0.00016381049 0.0 0.00020345052 0.0036208942 0.0008820564 0.0009988764 0.00051899574 0.0012002268 0.0010513798 0.000562836 0.00030976982 0.0021111602 0.0002530662 0.0002937563 0.00015488491 0.00086971815 0.0004465411 0.00049300655 0.0007489604 0.0039603286 0.0012314663 0.0013369981 0.00080067624 0.0016388923 0.0012401293 0.0006733556 0.0005360593 0.0024946972 0.00031764532 0.00041346397 0.00028220555 0.0012356666 0.0005247711 0.0005567981 0.0010364163 0.07167575 0.05740691 0.05826718 0.056754556 0.059070744 0.05732553 0.058145635 0.056467626 0.05918599 0.057708543 0.05809838 0.05759881 0.058447264 0.05796896 0.05743211 0.05554278 8476.0 5.766989 48881.0 0.010699454 0.009553814 0.0086945845 0.010085719 0.01794153 0.009349236 0.009349236 0.009635646 0.008653669 0.009656103 0.010310755 0.009942514 0.010290297 0.010147092 0.011251816 0.010167549 0.010024345 0.0091242 0.010044803 0.008899163 0.0096151875 0.009656103 0.009390151 0.010372128 0.0090014525 0.0097174775 0.009553814 0.009328778 0.009226489 0.00902191 0.008776416 0.009165116 0.01035167 0.011108611 0.009758393 0.010842659 0.011129068 0.010822201 0.009165116 0.010331213 0.010617622 0.015547964 0.010290297 0.009901598 0.011231358 0.010269839 0.009062826 0.010515333 0.010781285 0.010106176 0.0101266345 0.01092449 0.011190442 0.008755959 0.0096151875 0.010188008 0.010044803 0.009451525 0.010106176 0.0091037415 0.0098197665 0.009983429 0.009676562 0.009737935 0.009962971 0.013318058 0.009901598 0.011660973 0.010863117 0.016182156 0.00959473 0.010085719 0.010944948 0.012683865 0.010494876 0.009553814 0.0124179125 0.015670711 0.012458828 0.012151961 0.010556249 0.009287862 0.012479287 0.012356539 0.014504613 0.010106176 0.010147092 0.009656103 0.00959473 0.0101266345 0.009676562 0.009185573 0.009737935 0.00959473 0.008653669 0.009185573 6.5690856 1.0 0.0 0.0 20.0 1905998.0 647168.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 976129200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 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 5.474901 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3485248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5869346 0.0 4.8856463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4154.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -546684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62908.0 0.0 17648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 70472.0 17648.0 626688.0 0.0 0.0 0.0 0.0 0.0 0.0 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 69632.0 0.0 0.0 0.0 0.0


Input: 0.05676555 0.0083064195 0.006175106 0.0056544635 0.005754029 0.004959583 0.004204548 0.005420071 0.005046702 0.0056223124 0.0037554684 0.004461758 0.0049575088 0.003178821 0.0043175956 0.0046359967 0.005037368 0.0037585797 0.0049326173 0.0041547655 0.004354933 0.0031808952 0.0041018715 0.0038384392 0.0050788536 0.003340614 0.0031694865 0.0029216113 0.0041402457 0.0034412162 0.0037948794 0.003791768 0.0061709573 0.0038259935 0.00348685 0.0030170276 0.004894243 0.004173434 0.0038456991 0.00372228 0.0047262274 0.0038975559 0.0033292056 0.0030896273 0.004372564 0.0037108716 0.0037253913 0.0035822666 0.005510302 0.003946301 0.0031062213 0.0028936085 0.003676646 0.0030771815 0.0026955155 0.0028562716 0.0041630627 0.0033219457 0.0035200384 0.003346837 0.004012678 0.0032192692 0.0035055187 0.0034598846 0.006598257 0.003944227 0.003615455 0.0032234178 0.004150617 0.0032213435 0.0035438926 0.0030740702 0.0050031426 0.0037803596 0.0037139829 0.003585378 0.0041278 0.00312489 0.003545967 0.0034578103 0.00517427 0.0036279005 0.0036403462 0.0033375027 0.003929707 0.003378988 0.0033665425 0.0035418184 0.0046525905 0.0036413833 0.0038042136 0.0035065557 0.004112243 0.003377951 0.00368598 0.003791768 0.0059044133 0.003631012 0.0033354284 0.0029558367 0.0040137153 0.0030554016 0.0032700887 0.0030315476 0.0049751396 0.0031663752 0.0031964523 0.0030585132 0.0035750067 0.0028313803 0.0030844414 0.0031860808 0.0044990946 0.003293943 0.003217195 0.0031373354 0.0038944446 0.0033271313 0.0032929059 0.0036279005 0.0046276995 0.0032970544 0.0034754416 0.0031611896 0.004042755 0.0032047492 0.0034640331 0.003347874 0.008660083 0.004593474 0.0040251235 0.00352315 0.004365304 0.003432919 0.003019102 0.0033924708 0.004539543 0.0038322164 0.0029610223 0.003194378 0.00372954 0.002790932 0.0028479747 0.0029817652 0.005227164 0.0032088978 0.003485813 0.0030222135 0.003669386 0.0031715608 0.0033053514 0.0032732002 0.004548877 0.0028417518 0.0030471047 0.0027038127 0.0035169271 0.0032306777 0.0029910994 0.0031528925 0.005014551 0.0034111394 0.0032700887 0.0027940436 0.003777248 0.003012879 0.0030512533 0.0031829693 0.004138171 0.0030025078 0.0031165928 0.0030170276 0.0036476061 0.0028303433 0.0029184998 0.0030408818 0.004679556 0.00311037 0.0038405135 0.0028469374 0.0035667096 0.0031560038 0.0029838393 0.003119704 0.0042543304 0.0031456326 0.0033302426 0.0031746724 0.0036662747 0.0031891922 0.0033302426 0.0033530598 0.006725825 0.004059349 0.0037253913 0.0033375027 0.0041226144 0.0032503833 0.0033074256 0.0032296404 0.004325893 0.003326094 0.003118667 0.003080293 0.0036393092 0.0029869508 0.0030782188 0.0028023405 0.0042543304 0.0032690517 0.00308133 0.0030066564 0.00370776 0.0030066564 0.0029330198 0.0029444282 0.0039794897 0.0031051843 0.002728704 0.002645733 0.0035272983 0.0029496138 0.003583304 0.0028842743 0.004948174 0.0032431232 0.0033966193 0.0029776166 0.0038021393 0.0030699216 0.0031964523 0.0029102028 0.0044441265 0.0054470366 0.003462996 0.0031404467 0.003783471 0.0030709587 0.0032472718 0.0032037122 0.004622514 0.0033157228 0.0034225478 0.0030450304 0.0037409484 0.0030782188 0.0033126113 0.0032389748 0.0043476727 0.003034659 0.0031891922 0.0028583459 0.0040168264 0.00309585 0.004235662 0.0045219115 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045903632 0.00029296876 0.00027167136 0.00026803525 0.00030335772 0.00024102394 0.00032829124 0.00030283828 0.00033400516 0.00034906916 0.00033088846 0.00035530253 0.00051944813 0.00015739279 0.00018855967 0.0007412525 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09923537 0.061995614 0.062450133 0.05530824 0.060589988 0.05956408 0.054939434 0.05447816 0.060480386 0.053164996 0.052120905 0.05293592 0.056422457 0.050520487 0.05662764 0.053847034 4021.0 5.7050486 22940.0 0.017131647 0.010505667 0.009372275 0.00858762 0.013513514 0.0125980815 0.011857018 0.011508282 0.01255449 0.009677419 0.008456844 0.00858762 0.013862249 0.010505667 0.01190061 0.00989538 0.01673932 0.011944203 0.008718396 0.0074978205 0.009808196 0.008500436 0.007802964 0.008326068 0.010244115 0.008456844 0.009633827 0.0088055795 0.011508282 0.008936356 0.009590236 0.009154316 0.018003488 0.010854403 0.010331299 0.009154316 0.010810811 0.0088055795 0.010723627 0.008282476 0.014254577 0.011595466 0.009764603 0.008936356 0.011464691 0.009328684 0.011639059 0.009546643 0.014777681 0.009590236 0.009938971 0.009067131 0.0121185705 0.009372275 0.009633827 0.00989538 0.013775066 0.0092415 0.010549259 0.009503052 0.011115954 0.009808196 0.010418483 0.010723627 0.018003488 0.010985179 0.009721011 0.0081517 0.013077593 0.008238884 0.009372275 0.008326068 0.015475153 0.009372275 0.008892763 0.008674804 0.011377507 0.008020924 0.00989538 0.0079337405 0.013164777 0.008020924 0.008718396 0.008718396 0.011421098 0.009459459 0.0081517 0.007977332 0.010941586 0.008979947 0.012031387 0.008544028 0.0113339145 0.008979947 0.010069747 0.008761988 6.554401 0.0 0.0 0.0 14.0 964194.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.27679443 0.013999939 0.0055007935 0.006668091 0.010971069 0.004486084 0.0029144287 0.0024414062 0.011405945 0.001914978 0.0018463135 0.002029419 0.0076141357 0.004989624 0.0015869141 0.0065460205 0.008926392 0.001083374 0.00062561035 0.00062561035 0.0034103394 0.0051116943 0.00065612793 0.000579834 0.0036621094 0.0009460449 0.0005722046 0.0008163452 0.002357483 0.0013275146 0.00061035156 0.00077056885 0.006614685 0.00065612793 0.0004348755 0.00091552734 0.016792297 0.0012664795 0.0009536743 0.0002746582 0.0017242432 0.00051116943 0.0004196167 0.0016555786 0.0014190674 0.0008392334 0.0014953613 0.00031280518 0.0024261475 0.00064849854 0.0008621216 0.0040740967 0.0011138916 0.0013275146 0.0005340576 0.0005722046 0.0020980835 0.0016021729 0.0008773804 0.0034103394 0.0012512207 0.0016708374 0.0005493164 0.001335144 0.0059280396 0.02645874 0.000831604 0.001625061 0.008255005 0.00856781 0.003868103 0.0018157959 0.0029449463 0.0017623901 0.0005264282 0.00060272217 0.003211975 0.0039901733 0.0016326904 0.0009841919 0.009918213 0.0049819946 0.003540039 0.0043563843 0.0030593872 0.0029144287 0.006690979 0.0042037964 0.0016021729 0.0047912598 0.0005950928 0.0025634766 0.0015640259 0.0031738281 0.0044021606 0.0035324097 0.0009613037 0.0032958984 0.00093078613 0.0014343262 0.00340271 0.0066070557 0.0027313232 0.0011901855 0.0062713623 0.00315094 0.0079574585 0.00038146973 0.0028305054 0.0014419556 0.0033035278 0.0030136108 0.0022506714 0.00038146973 0.003768921 0.0034942627 0.01360321 0.010185242 0.0012969971 0.0012435913 0.0019989014 0.0008544922 0.00039672852 0.00044250488 0.0021209717 0.0023956299 0.0018081665 0.000869751 0.0055236816 0.0038375854 0.0027770996 0.013511658 0.0039138794 0.006843567 0.00092315674 0.0004196167 0.0027694702 0.012672424 0.002456665 0.03453064 0.0013580322 0.007369995 0.00090026855 0.00079345703 0.009307861 0.0004272461 0.00032043457 0.0007324219 0.0011444092 0.0005645752 0.000579834 0.00025177002 0.0013275146 0.0005569458 0.00037384033 0.0002593994 0.0023040771 0.00035858154 0.0006790161 0.00035095215 0.0010681152 0.0028762817 0.00045776367 0.0013504028 0.0008239746 0.0008468628 0.00037384033 0.00025177002 0.001083374 0.0002822876 0.0002822876 0.00038146973 0.0005950928 0.00015258789 0.0002593994 0.0002746582 0.0010070801 0.000579834 0.00048065186 0.00050354004 0.0006790161 0.000289917 0.0009689331 0.0010757446 0.002571106 0.0012588501 0.00076293945 0.00064086914 0.0005645752 0.00030517578 0.0011901855 0.0007019043 0.007583618 0.0036315918 0.0030670166 0.0057525635 0.0042419434 0.00061798096 0.002067566 0.0041885376 0.0024261475 0.0046920776 0.0034713745 0.002494812 0.0026931763 0.0007095337 0.0013427734 0.0012359619 0.0017089844 0.0010604858 0.0012435913 0.0012664795 0.0013656616 0.00018310547 0.0011138916 0.0014190674 0.0019226074 0.0009689331 0.00048828125 0.0013122559 0.0030059814 0.0033340454 0.0005722046 0.00077056885 0.0027999878 0.0007247925 0.0005187988 0.00034332275 0.0009994507 0.0012512207 0.00089263916 0.0004348755 0.012489319 0.0034713745 0.0005645752 0.004837036 0.003868103 0.00032043457 0.00047302246 0.00038146973 0.0033950806 0.0013046265 0.00045776367 0.001045227 0.002380371 0.00038909912 0.0027618408 0.0018386841 0.0037231445 0.0011978149 0.00078582764 0.0011291504 0.003730774 0.00077819824 0.0019989014 0.036338806 0.03937008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020942267 8.073942e-05 0.00024221826 7.6894685e-05 0.0004036971 0.00028451034 0.0006266917 0.0004152313 0.00015378937 6.536048e-05 2.3068405e-05 3.8447342e-05 0.00013072096 6.151575e-05 2.3068405e-05 5.382628e-05 0.013260488 0.00019608144 0.00023068406 0.00013841044 0.00031142347 0.0001230315 0.0006151575 0.00022683931 0.00021914985 3.460261e-05 5.382628e-05 3.460261e-05 6.536048e-05 3.8447342e-05 1.5378937e-05 0.00018454724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005305733 7.6894685e-06 1.5378937e-05 1.1534203e-05 0.0003690945 0.0002345288 0.0011764887 0.00066898373 3.8447342e-06 1.1534203e-05 1.5378937e-05 3.8447342e-05 3.8447342e-06 3.8447342e-06 3.8447342e-06 3.8447342e-06 0.03700941 0.0005151944 0.0015648068 0.00056517596 0.0025144562 0.0010496124 0.0035333107 0.00238758 0.00092273625 0.0008189284 0.00026528665 0.00018454724 0.00046136812 0.00017685778 0.00024221826 0.002906619 0.034056656 0.00049981545 0.0020453986 0.0009304257 0.0016532358 0.00159172 0.0047943834 0.0031065452 0.0010457677 0.0010573019 0.00081123895 0.00021914985 0.00031911294 0.0001230315 0.00029604454 0.0025682824 0.01055764 0.00041907604 0.0010457677 0.0002806656 0.0016301674 0.0009919414 0.0044483575 0.0021338274 0.00064976007 0.00042292077 7.6894685e-05 0.00012687623 0.000246063 0.00020377092 0.00011534203 0.00027297612 0.01476378 0.0002806656 0.0012610728 0.00078048103 0.0036178948 0.0014263964 0.0075549027 0.0033833662 0.00079586 0.0009035125 0.0007189653 0.00036524975 0.00084584154 0.0002575972 0.0007535679 0.0016609252 0.008869802 0.00016916831 0.0011764887 0.0011072835 0.001910833 0.00086122047 0.0041753813 0.0024183379 0.00032295767 0.00043061023 0.0005843996 0.00020761565 0.000246063 0.00040754184 0.00017301305 0.0005613312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11185101 0.017305149 0.016943743 0.011561116 0.038474254 0.034122016 0.013760304 0.019354392 0.06285372 0.010772945 0.0048789675 0.0074011134 0.027501384 0.01085753 0.01966197 0.03364527 0.06153497 0.0128068095 0.011957124 0.009069728 0.022618571 0.021534357 0.008473794 0.013314315 0.034402683 0.0051596332 0.004010058 0.0050442913 0.02066929 0.009765625 0.0133489175 0.021880383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 493.0 12.563894 6194.0 0.04133032 0.00032289312 0.00064578623 0.0009686794 0.020826606 0.0019373588 0.00016144656 0.00016144656 0.0016144656 0.0008072328 0.00064578623 0.0009686794 0.0009686794 0.0035518243 0.013400065 0.0004843397 0.009686794 0.0037132709 0.005489183 0.006134969 0.0009686794 0.00032289312 0.0030674846 0.0009686794 0.0033903779 0.0008072328 0.0027445916 0.001130126 0.001130126 0.00016144656 0.0008072328 0.007910881 0.019535033 0.013722958 0.0038747175 0.010655473 0.015175977 0.0067807557 0.010494026 0.00984824 0.0064578624 0.010978366 0.00064578623 0.00064578623 0.008395221 0.0053277365 0.0032289312 0.002260252 0.019857926 0.010009686 0.016144656 0.021795286 0.013400065 0.0074265418 0.010494026 0.012431385 0.001130126 0.0020988053 0.00016144656 0.0014530191 0.0017759121 0.0014530191 0.0019373588 0.0071036485 0.0012915725 0.04407491 0.011624153 0.017274782 0.024055537 0.08895706 0.0074265418 0.0148530835 0.015175977 0.042137552 0.0033903779 0.0014530191 0.032935098 0.012915725 0.044397805 0.03939296 0.014207297 0.00064578623 0.041976105 0.035033904 0.07152083 0.01549887 0.004843397 0.0075879884 0.0067807557 0.0038747175 0.0009686794 0.00032289312 0.00064578623 0.00032289312 0.00016144656 0.00032289312 5.5060225 0.0 0.0 0.0 1.0 131072.0 139264.0 0.0 0.0 148.0 0.0 1.0 0.0 0.0 0.0 918952400.0 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 94208.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 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 -94208.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.92108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.008397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.592447 0.0 3.5287228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -93338.0 0.0 9040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 105040.0 9040.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 616.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.23108615 0.017263487 0.014004322 0.007005129 0.011795925 0.0038053286 0.011018237 0.0026714476 0.002902973 0.0011576273 0.021306278 0.0012051197 0.0024577319 0.0023508738 0.0036094226 0.0017572189 0.0016800436 0.0057465807 0.0039299964 0.0031226254 0.0025052242 0.0017215995 0.009136351 0.0027486228 0.0045652073 0.0025645897 0.00055209914 0.001003277 0.002071856 0.0007005129 0.0006352109 0.00046898745 0.0018284575 0.0005699088 0.00040962195 0.00059365504 0.0008014343 0.0006174012 0.00048086056 0.00058771844 0.019210676 0.0029623385 0.0053785145 0.0035559935 0.002968275 0.0018522036 0.0027486228 0.008038089 0.0025349068 0.0006708302 0.0008251805 0.00086079974 0.0036747246 0.00046898745 0.00067676674 0.00048086056 0.00045117782 0.0006174012 0.00084892666 0.0030335772 0.0005995916 0.00045117782 0.00047492402 0.00026714476 0.0006827033 0.003300722 0.0027664325 0.004446476 0.0014366452 0.002006554 0.0057109613 0.00356193 0.0030573234 0.005740644 0.0016028685 0.00026714476 0.009753752 0.003205737 0.0024102393 0.003366024 0.0023033815 0.0002730813 0.0022262062 0.0056456593 0.0033541508 0.00055803574 0.0026180185 0.00093203835 0.001478201 0.00054022606 0.001715663 0.0008904825 0.0006292743 0.00042149506 0.0006352109 0.0266373 0.00090235565 0.03776833 0.004209014 0.009041366 0.023959916 0.040107332 0.002018427 0.011588146 0.0041496484 0.022357048 0.0022796353 0.0029385923 0.010941062 0.008530823 0.038706306 0.027023176 0.019329408 0.0011813735 0.03539371 0.015993066 0.037732713 0.009373813 0.007497863 0.0030573234 0.0012526121 0.002707067 0.0003799392 0.0004867971 0.00026714476 0.00039774887 0.006690492 0.0003087006 0.004541461 0.0022143333 0.0002137158 0.0002730813 0.00030276406 0.00020777926 0.00049273367 0.00020777926 0.00026120822 0.00040962195 0.0002018427 0.00020777926 0.00032057372 0.00032651026 0.0024339855 0.00045117782 0.00031463715 0.0025230339 0.00022558891 0.00032057372 0.0002730813 0.0002849544 0.00031463715 0.0003087006 0.00030276406 0.0004036854 0.00035619302 0.00046898745 0.0009379749 0.0005699088 0.0017453458 0.00039774887 0.0007005129 0.00074206875 0.0006827033 0.0004393047 0.00045711437 0.00073019566 0.00035025645 0.00055209914 0.0015850589 0.0006708302 0.00035619302 0.00033838337 0.0003324468 0.00135947 0.00021965236 0.00017809651 0.00018403305 0.0002018427 0.0002018427 0.0002018427 0.0002137158 0.00020777926 0.0002137158 0.0002849544 0.0003087006 0.0002137158 0.00016028686 0.00050460675 0.0001899696 0.00025527165 0.00019590615 0.00019590615 0.000528353 0.00021965236 9.49848e-05 0.0001899696 0.00043336817 0.00013654065 0.0016325513 0.0002018427 0.00027901787 0.00032651026 0.0001899696 0.00019590615 0.00016028686 0.00022558891 0.0001424772 0.0002018427 0.00042149506 0.00025527165 0.0001899696 0.0006352109 0.00019590615 0.00033838337 0.00012466755 0.0001424772 0.00022558891 0.0010151501 0.0003799392 0.0001424772 0.00032057372 0.000118731004 0.0002730813 0.00018403305 0.0012348024 0.00033838337 0.00023152545 0.00027901787 0.0001662234 0.00022558891 0.00022558891 0.00038587576 0.0003799392 0.0001424772 0.00013060411 0.0019471884 0.00013654065 0.00010092135 0.00030276406 0.00012466755 0.0002137158 0.00014841376 0.0001899696 0.00017809651 0.00023746201 0.00014841376 8.9048255e-05 0.00020777926 0.000112794456 0.00035025645 0.00016028686 0.0001068579 0.0001899696 0.00017809651 0.0037340901 0.0002018427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048019313 1.7973543e-05 0.00010484567 7.4889766e-05 0.00013779716 7.1894174e-05 0.0006260784 0.00026361196 5.991181e-06 0.0 5.991181e-06 5.991181e-06 2.9955904e-06 0.0 8.986772e-06 5.991181e-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 0.05294107 0.0020100411 0.0041249283 0.002393477 0.024072565 0.029099166 0.13617654 0.0680059 0.0012851083 0.0013510113 0.0024174415 0.00011982362 0.00010185008 0.00029057226 0.00035347967 0.0004103959 0.15580964 0.020277152 0.02802375 0.005254266 0.0067700343 0.00608704 0.03340383 0.03033934 0.005011623 0.00076387555 0.001389954 0.00089867716 0.0007488976 0.001587663 0.0011682803 0.003079467 0.053222656 0.009106595 0.01199734 0.0036186734 0.008312764 0.0054579657 0.0358033 0.023542346 0.0025043136 0.0010873993 0.0010963861 0.0004373562 0.00041938268 0.0010155052 0.00060211367 0.0012851083 0.00928633 0.004783958 0.0046551474 0.0016056366 0.007276289 0.004652152 0.034203652 0.01722764 0.0013120687 0.00032352377 0.00016475748 4.1938267e-05 9.585889e-05 8.387653e-05 8.986772e-05 8.6872125e-05 0.049244512 0.0059222826 0.0027319784 0.0029806125 0.005934265 0.004448452 0.007060607 0.0033161186 0.00256123 0.00580845 0.003960171 0.0020609663 0.0033310966 0.0017224646 0.0018093367 0.0014019364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005565807 0.0012611436 0.0011892495 0.0010814081 0.001192245 0.0014528614 0.0010514522 0.00038643117 0.00046431652 0.00049127685 0.0007279285 0.00019171779 0.00048828125 0.00027858993 0.0023665165 0.00021568252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1645.0 40.824924 67157.0 0.00056583824 0.00013401432 0.00010423336 0.00013401432 0.00043182392 8.934288e-05 0.0001489048 0.0001489048 0.0027547388 0.0027100674 0.0002233572 8.934288e-05 0.00019357624 7.44524e-05 0.0026505056 0.011897494 0.00035737152 0.00032759056 0.00031270008 0.00017868576 0.006566702 0.00017868576 0.00010423336 0.00013401432 0.00013401432 0.00013401432 0.00023824768 0.003692839 0.00017868576 0.00013401432 0.00013401432 2.978096e-05 5.956192e-05 0.0064326874 0.005464806 0.0088896165 0.0017421863 0.0031716723 0.011361437 0.008115312 0.006566702 0.011718808 0.0002233572 1.489048e-05 0.019878792 0.0057775066 0.001146567 0.006641154 0.0028738626 4.467144e-05 0.0042586774 0.01176348 0.0050925445 0.0005062763 0.004065101 0.00034248104 0.0002978096 1.489048e-05 0.0013550337 0.00011912384 1.489048e-05 8.934288e-05 0.00010423336 0.06517563 0.0002978096 0.08121268 0.007772831 0.018464196 0.05231026 0.08821121 0.0025909436 0.023631193 0.004809625 0.04773888 0.004273568 0.005464806 0.024033235 0.017883467 0.08441413 0.050017126 0.031701833 0.00087853835 0.06727519 0.027651623 0.0824337 0.0195512 0.015530772 0.005956192 0.0020995578 0.0050925445 0.00011912384 1.489048e-05 1.489048e-05 1.489048e-05 0.0 2.978096e-05 4.8249626 0.0 0.0 0.0 1.0 168448.0 196608.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1519419000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 165888.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165888.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.658885 0.0 3.1918426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -165428.0 0.0 1088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 173528.0 1088.0 180224.0 0.0 0.0 0.0 0.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.132765 0.010667975 0.004948156 0.0048080534 0.009392263 0.0036490601 0.0032521365 0.0025893978 0.013098284 0.002201268 0.00242811 0.00195384 0.008076779 0.0021600965 0.0016876254 0.0066169947 0.006629186 0.001892283 0.0013876342 0.0014022241 0.0040208017 0.0034186207 0.0013924309 0.0012960979 0.0032659268 0.001826129 0.0011933694 0.0014449942 0.0027668742 0.0012387378 0.0013230791 0.0012613222 0.0069505624 0.0012489307 0.0018183345 0.0012279453 0.007196991 0.0018627036 0.001140806 0.0013208807 0.0021529016 0.0012551264 0.0010886423 0.002396332 0.0018780929 0.0011741827 0.0013296745 0.0011492001 0.0024774757 0.00103448 0.0011464021 0.005900893 0.0017000168 0.0012639203 0.0011174222 0.0010882426 0.0020773541 0.0031458104 0.0013658494 0.0044485037 0.0023445683 0.0016188732 0.0011601925 0.0016180738 0.0043401793 0.0023085931 0.0025484264 0.0022360438 0.003560122 0.014553271 0.003647861 0.0019644327 0.0028498166 0.001846315 0.0017841582 0.0011905713 0.0024401017 0.01112126 0.0021141286 0.0015870954 0.011093279 0.004955351 0.003158202 0.0038393277 0.003087651 0.006522061 0.007129238 0.005050485 0.0018832892 0.0028414223 0.0015781017 0.002240041 0.0022114608 0.00475589 0.0037637805 0.0034116255 0.0015707068 0.0033542654 0.0017435865 0.0019946117 0.0034885718 0.0049863295 0.0022366433 0.0015023544 0.0055945064 0.0028913876 0.0066543687 0.0013274761 0.0031470098 0.0019136681 0.0029967143 0.0029451502 0.002811843 0.0012415359 0.0038351307 0.0038497206 0.014838472 0.012681174 0.0031903796 0.002166892 0.0026751382 0.0017469841 0.0013728444 0.001758576 0.0034146234 0.0039030835 0.0030694637 0.0019448464 0.0043671606 0.003902284 0.0010714543 0.015020146 0.0032221575 0.009602916 0.0018615044 0.0010738526 0.0018780929 0.01182417 0.0015763029 0.042447057 0.0016472535 0.014262673 0.001764372 0.000987113 0.002601989 0.0008665968 0.0010302829 0.0015093494 0.0017479834 0.0014431955 0.00094534206 0.00085420546 0.0014322032 0.0010860441 0.00084681064 0.0009577334 0.0014018243 0.0009491394 0.0012387378 0.0010810476 0.0015679087 0.0017709674 0.0009381471 0.0014781712 0.0017995475 0.0027550824 0.0010728533 0.000897975 0.0014593842 0.0009465412 0.0011480009 0.0010108964 0.0015095493 0.0010060997 0.0009773198 0.0010051004 0.0016262681 0.0009311519 0.00088538375 0.0010682564 0.001547523 0.0013416662 0.0018315252 0.0013438647 0.0033482695 0.0013902324 0.0010528672 0.0012061605 0.0015467235 0.001326077 0.0018057432 0.0012589238 0.008613605 0.0035289438 0.003680838 0.0052749286 0.006554638 0.0013450638 0.0035305428 0.0049933246 0.0036846355 0.0026971227 0.001116223 0.0019100705 0.017855372 0.0012897024 0.0029127728 0.00209754 0.0027125122 0.0015729052 0.0017369911 0.0011891724 0.0019064731 0.00099131 0.0011791793 0.0011863742 0.002550425 0.001388034 0.000981317 0.0017895545 0.0020269891 0.0014022241 0.0011050309 0.0011749822 0.0026995211 0.0012517287 0.0012005644 0.0011318122 0.0025220446 0.0019812211 0.001067457 0.0010154932 0.022220535 0.0044996683 0.0011160233 0.0044732867 0.0077739893 0.0013956287 0.0011671876 0.001570507 0.0058962964 0.0023345752 0.0015395285 0.0016438558 0.0033216882 0.0014314038 0.0030254943 0.002804848 0.005686642 0.0026741389 0.0022652233 0.0027047175 0.009333503 0.0034717836 0.0042952104 0.05793468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003625376 1.839176e-05 2.29897e-06 2.3989253e-06 1.5992836e-06 2.3989253e-06 1.0995075e-06 1.4993283e-06 6.1972237e-06 1.2994178e-06 1.4993283e-06 1.3993731e-06 1.2994178e-06 1.3993731e-06 2.5988356e-06 1.4993283e-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 0.00033015208 1.1494851e-05 9.395791e-06 1.3993731e-06 7.396686e-06 5.6974477e-06 1.0095478e-05 1.169476e-05 2.7987462e-06 1.0995075e-06 3.5983878e-06 4.1981193e-06 1.1994626e-06 1.9991044e-06 2.3989253e-06 4.7978506e-06 0.0064719007 0.00024948822 0.00021040573 7.7865116e-05 0.00032775317 0.00019511259 0.00014653435 0.00053965824 7.5566146e-05 0.0001915142 3.2085627e-05 3.5783967e-05 3.0386387e-05 3.0786206e-05 4.8578237e-05 0.0007531626 0.02616128 0.0007794508 0.0017848004 0.00038232873 0.0008257301 0.0005852378 0.0040884684 0.0041188546 0.00046888995 0.00078154984 0.00034134707 0.00032755325 0.0002492883 0.00029786656 0.00031126055 0.0033272095 0.010414934 0.00019761147 0.0015388107 0.00031845734 0.0008457211 0.00047198855 0.0040684775 0.002998157 0.00037493202 0.00014993284 0.000117647294 0.00021700279 0.00019411303 0.0001848172 0.0001533313 0.000886103 0.0047418755 9.95554e-05 0.0015632997 0.00043160663 0.0011750736 0.00085901516 0.0050939177 0.0027506677 9.7956115e-05 5.7874073e-05 7.546619e-05 6.3271655e-05 8.026404e-05 7.486646e-05 7.8364894e-05 0.0001571296 0.0060951696 0.00023399518 0.0008665118 0.00047608672 0.0015140218 0.0012454421 0.0029565755 0.002060177 0.00029506782 0.00015702964 0.0003611382 0.0001598284 0.0004680903 0.00021140529 0.00023059669 0.0006831939 0.006508484 0.00031156043 0.0004640921 0.0005035744 0.001571296 0.0015931863 0.0019857103 0.0012680319 0.0003154587 0.00026937932 0.00059363403 0.00024858862 0.00037153356 0.00027357743 0.00026368187 0.00044899885 0.012575666 0.0012302488 0.0009958538 0.0012069592 0.0024323103 0.004238801 0.0024806887 0.0020338888 0.005280734 0.00085181836 0.0012484407 0.0010121466 0.0034100723 0.00087580766 0.0024541006 0.0065977443 0.0817009 0.013469965 0.010597852 0.011952945 0.026728725 0.03006823 0.0108513385 0.02189569 0.06333163 0.0052445503 0.0052324557 0.0075326255 0.038824905 0.007551017 0.027464796 0.055771414 0.045303404 0.010011115 0.008191531 0.008945692 0.015595613 0.019136827 0.0076265833 0.017446084 0.037120968 0.0034012762 0.0040926663 0.0046794037 0.01841515 0.006154943 0.016782882 0.03216239 0.009603098 0.009142105 0.008963984 0.009207875 0.009069737 0.0091254115 0.009037451 0.009376899 0.009156898 0.008879422 0.009238861 0.009219769 0.009048346 0.009230065 0.009298234 0.009587105 15303.0 14.071293 215333.0 0.071842216 0.0020572788 0.0018993837 0.0016625413 0.00867958 0.0075325193 0.0013560392 0.005582052 0.0038219874 0.0026888587 0.0015185782 0.0032879307 0.004504651 0.004091338 0.007328185 0.003417962 0.0053684292 0.0028281778 0.0031486116 0.0031393238 0.0022616135 0.0016439654 0.0015650179 0.0014907144 0.002489168 0.0054752408 0.0053730733 0.0030325125 0.0039427304 0.0031578997 0.0016625413 0.006840568 0.015691975 0.009756981 0.004174929 0.0121254055 0.007839021 0.0065387096 0.006645521 0.0039102226 0.0039845263 0.007857597 0.0011935004 0.0016253896 0.0058328263 0.006376171 0.0046950537 0.005452021 0.013286399 0.004899388 0.0067244684 0.016309623 0.008544905 0.007560383 0.012599091 0.010170294 0.0027027905 0.0023080532 0.0014117669 0.0032507791 0.0019504675 0.003413318 0.003882359 0.0070123947 0.001708981 0.04550162 0.010318901 0.022170313 0.021705916 0.071489275 0.010708995 0.0117167365 0.015622315 0.03915331 0.0044210595 0.0044117714 0.032066613 0.019467523 0.040815853 0.039348356 0.017094454 0.0018854518 0.038479935 0.03340872 0.0631162 0.020428823 0.005582052 0.0054613086 0.008749239 0.008874627 0.0020851425 0.0014582066 0.003125392 0.0015603739 0.0022198176 0.0014256987 5.7020082 6.0 21.0 0.0 31.0 5003480.0 6344704.0 1.0 4.0 852.0 0.0 1.0 0.0 0.0 0.0 1384335500.0 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 9.0 0.0 5.0 0.0 5.0 0.0 3462656.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -231424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 752640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3462656.0 0.0 1796608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1610117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0711665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.57374 0.0 7.992585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -231216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 752423.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3462234.0 0.0 1796344.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -2.0 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 -2.0 -2.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 -2.0 -1.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 3.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 2.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 2.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 3.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 2.0 -1.0 2.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -4.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 2.0 0.0 0.0 2.0 0.0 0.0 -2.0 1.0 -1.0 -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 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 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 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 -1.0 -2.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 2.0 -2.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 -3.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 -2.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -2.0 3.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 1.0 1.0 -1.0 0.0 -3.0 0.0 1.0 2.0 0.0 0.0 1.0 1.0 1.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 4.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 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 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 2.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 2.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 -1.0 2.0 1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 215.0 4221520.0 360.0 4203428.0 1796344.0 4313088.0 0.0 0.0 6504.0 27387848.0 223312.0 6111232.0 28.0 3473840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3476.0 3469312.0 96.0 4203192.0 0.0 0.0


Input: 0.30301738 0.010057053 0.005861438 0.0039884555 0.008966215 0.0031996162 0.003255404 0.0023486663 0.012086985 0.0016513189 0.0019086865 0.0015672653 0.0075142444 0.0022969695 0.0014690787 0.0074406047 0.005784079 0.0013608504 0.0009714515 0.0008669424 0.0032230471 0.004677993 0.0007944183 0.00064713845 0.0023706094 0.001412919 0.00086619856 0.0008011128 0.0015144527 0.0005980452 0.0006099466 0.0010741011 0.0040483344 0.00047791548 0.0011376991 0.0018558741 0.0023892054 0.0012931612 0.00041617698 0.00048535384 0.0013697764 0.00062296377 0.00050283404 0.0013965545 0.0013110132 0.0011745191 0.00075834215 0.0006054836 0.0024925987 0.00074867223 0.0009428138 0.0054214583 0.0012076199 0.00083570124 0.0007806573 0.00068693375 0.0014326307 0.0012187774 0.0010484387 0.0023575923 0.0009212425 0.0012399768 0.00046712984 0.00080408814 0.003845267 0.0027217008 0.0017945075 0.001993856 0.0017509931 0.013389816 0.004027879 0.0022642408 0.002085348 0.0010874901 0.0012719618 0.00085987593 0.0010346777 0.007711733 0.001554248 0.0011120368 0.011119624 0.003305241 0.001916125 0.002824722 0.0019016201 0.0042863623 0.0046296436 0.003643687 0.0028273256 0.003199988 0.006010949 0.0031557297 0.0020042695 0.0058807777 0.004640801 0.0041494966 0.0025271873 0.0033097041 0.0007155715 0.0015326767 0.004355911 0.004137595 0.002880882 0.0009138041 0.006317782 0.0022277927 0.0059733856 0.00080966693 0.0022013865 0.0011778664 0.0024260255 0.0023932965 0.0023032923 0.000562341 0.003947173 0.0032699087 0.00904097 0.008717029 0.0010521578 0.0013169639 0.0019596394 0.0011146402 0.00063672476 0.0004883292 0.0008364451 0.0019090584 0.0014077121 0.0013110132 0.0033130513 0.0011912554 0.00044407087 0.012732635 0.0027179816 0.010930317 0.0014088278 0.0008773561 0.0016397893 0.0098833665 0.0010718695 0.034363423 0.00078921136 0.014745087 0.00070069474 0.0005556465 0.0012927892 0.0005746143 0.00048089083 0.0010938128 0.0012500186 0.0009933948 0.00048795727 0.00047754354 0.0010357935 0.00046415447 0.00036038918 0.00038270428 0.00079590594 0.00053556287 0.00041022626 0.00040650708 0.0009673604 0.0020284443 0.0003231973 0.0010993915 0.0007832607 0.0003905146 0.00030646098 0.0003231973 0.00091306027 0.00040836667 0.00034216515 0.00030794865 0.00066424673 0.00026778143 0.0002807986 0.00040315982 0.0012544816 0.0008866541 0.0003607611 0.001257085 0.0010566209 0.0009260774 0.0011447656 0.0010119907 0.0026000834 0.0012039007 0.0005158512 0.0009011589 0.00091306027 0.0008156176 0.0006620152 0.00053370325 0.008237255 0.00297163 0.0029177018 0.0036909208 0.00516781 0.0011626177 0.0041904077 0.0077121053 0.0030928755 0.002066008 0.00084723067 0.0007036701 0.02195473 0.0008197087 0.0012608042 0.00091975485 0.0017186361 0.00073677086 0.00093128433 0.00061515346 0.0012303069 0.00025439236 0.0009681042 0.0006568083 0.002327839 0.00051547925 0.0005656883 0.0008602478 0.0010309585 0.0003470001 0.00042361533 0.00039237418 0.0017539684 0.00043142564 0.00046006337 0.0003771255 0.0016747497 0.002648061 0.0007944183 0.000950996 0.014755873 0.0037139796 0.0007155715 0.0029891103 0.00585995 0.0013020872 0.00091082876 0.0015140808 0.0056992816 0.0017193799 0.0008490903 0.0009952543 0.0032836697 0.0006281706 0.0019741443 0.001211339 0.0036745563 0.0028198871 0.0010443475 0.0012812598 0.0067413975 0.0031256045 0.0034726046 0.06064766 0.12270262 0.0 5.396401e-06 0.0 0.0 5.396401e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072218734 2.2329934e-06 1.5444872e-05 5.5824836e-07 3.7216557e-07 1.3397961e-05 5.5824836e-07 5.5824836e-07 2.9773246e-06 7.4433115e-07 1.1164967e-06 1.8608279e-07 9.30414e-07 3.7216557e-07 1.8608279e-07 3.7216557e-07 0.00033867068 5.7685666e-06 1.9166528e-05 0.0 0.0 1.7491782e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009769347 1.0606719e-05 5.4522257e-05 1.04206365e-05 1.656137e-05 5.0986684e-05 1.5258789e-05 7.815477e-06 1.8608279e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022488106 4.279904e-05 6.568723e-05 2.7540253e-05 2.6423757e-05 8.3551175e-05 4.9684106e-05 2.7168087e-05 1.0978885e-05 2.6982005e-05 8.187643e-06 5.954649e-06 8.5598085e-06 6.6989805e-06 1.2095382e-05 1.656137e-05 0.0026131608 7.815477e-05 9.9554294e-05 4.7637193e-05 2.8842833e-05 7.685219e-05 0.0001244894 8.8761495e-05 1.8794362e-05 2.6795922e-05 4.0193885e-05 2.1771686e-05 1.3397961e-05 1.0234554e-05 1.3770126e-05 0.00012746672 0.009089958 0.000143842 0.00035634855 0.0014728453 0.00010960276 0.00050316786 0.0016717678 0.00093767117 0.00010960276 0.00014681932 2.8098502e-05 4.4845954e-05 4.5590285e-05 3.5727895e-05 3.256449e-05 0.0005154493 0.02448589 0.00065501145 0.0009925656 0.0006501733 0.0007601482 0.0022594172 0.002049702 0.0011942794 0.00031131651 0.00069669395 0.00034890525 0.00021492563 0.00020283024 0.000197806 0.00024153547 0.0028485553 0.02527116 0.00064068305 0.0021898223 0.00085170096 0.0018693877 0.0029095905 0.0057687527 0.0030279392 0.0002618185 0.00071865175 0.00053908187 0.0004346894 0.00020487716 0.00037495684 0.00037756198 0.0037209115 0.019870851 0.00077819824 0.001872365 0.0010558338 0.0024205649 0.002506163 0.006224097 0.0037490102 0.0011377102 0.0016808859 0.00069576356 0.00022888184 0.00028898657 0.00031113042 0.002625442 0.0052400916 0.010288145 0.0006304485 0.0011272896 0.00091441086 0.002290493 0.0016833049 0.0036235903 0.0023405494 0.00051731017 0.00043971365 0.00015444872 0.00026200459 0.0003362516 0.00024209371 0.00094902224 0.0016399476 0.007448708 0.00071083626 0.0008580278 0.0005020514 0.0009477197 0.0012910424 0.0014300463 0.0010145234 0.0005908129 0.00055862055 0.00018198897 0.0002649819 0.0002521422 0.00027763552 0.0010028002 0.0017229406 0.016710607 0.0024579677 0.0021794017 0.00126313 0.0028180378 0.0042345 0.002090454 0.002122088 0.0074111195 0.00082546327 0.0010178728 0.0014910814 0.0051014596 0.0011153803 0.0031634076 0.007735834 0.123331584 0.01917453 0.008769152 0.014019292 0.03377756 0.04544179 0.018678619 0.022913491 0.080020994 0.005165844 0.0059767934 0.011592399 0.056559306 0.009588661 0.0295907 0.06951514 0.00997776 0.002092501 0.0010887705 0.0016414364 0.0033098545 0.004304095 0.00200039 0.002314684 0.006870363 0.0006056995 0.00066319905 0.0012997884 0.0045858244 0.0012255412 0.002712529 0.005993541 0.00021380914 0.00016300853 0.00015668171 0.0001577982 0.00015556521 0.0001568678 0.00018999053 0.00015649563 0.0001568678 0.00015519305 0.00015612347 0.00019129312 0.0001568678 0.00018943228 0.00015612347 0.00015556521 4137.0 17.90887 74089.0 0.04184157 0.000769345 0.001255247 0.0011202743 0.0076259635 0.010527879 0.00044541026 0.0012012579 0.0025779805 0.0014037172 0.00040491842 0.0007018586 0.0018626247 0.004575578 0.0082738325 0.0020515865 0.00660017 0.0036307685 0.0044001136 0.0028209316 0.0021325704 0.0020515865 0.0017951382 0.0010932797 0.0025779805 0.0021460676 0.0063302247 0.0015791818 0.0008233341 0.0022270512 0.00080983684 0.009475091 0.029801995 0.016115753 0.0031988553 0.013537772 0.0067081484 0.007383012 0.0075314823 0.005682355 0.003657763 0.006640662 0.0006478694 0.0015251926 0.0054124095 0.00615476 0.004238146 0.004332627 0.011243234 0.0052774367 0.0053854147 0.011405202 0.011229738 0.005398912 0.008314325 0.009718042 0.0039142114 0.0011607661 0.0028209316 0.0031043745 0.0022270512 0.0022270512 0.0021595648 0.025482865 0.00093131233 0.041450147 0.0082738325 0.029275602 0.028006857 0.07833821 0.014131652 0.013335313 0.016466683 0.040127415 0.005614869 0.006195252 0.02982899 0.015724331 0.042664904 0.041571625 0.017883897 0.0024834995 0.04499993 0.03915561 0.059833445 0.021109747 0.005628366 0.007814925 0.005601371 0.0071535585 0.0016601655 0.00036442658 0.002496997 0.0003239347 0.0005533885 0.00022945377 5.617102 0.0 8.0 0.0 20.0 2688760.0 2719744.0 1.0 184.0 854.0 1.0 1.0 1.0 1.0 0.0 1529570200.0 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 5.0 1.0 5.0 1.0 1741824.0 1024.0 4096.0 9.0 0.0 0.0 1.0 4.0 0.0 0.0 -512.0 0.0 0.0 -98816.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 406016.0 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 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1742336.0 0.0 410624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.737988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2396226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.3351755 0.0 2.5760512 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -98748.0 32.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 405662.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1741645.0 0.0 410184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 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 -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 -2.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 2.0 -2.0 1.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 -2.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 3.0 0.0 -1.0 0.0 -2.0 2.0 -1.0 2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 2.0 1.0 0.0 -3.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -2.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 2.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 -2.0 -1.0 2.0 0.0 2.0 -2.0 0.0 0.0 -2.0 -1.0 2.0 2.0 -1.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 -1.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 2.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 3.0 1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 -2.0 1.0 0.0 -1.0 3.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -4.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 1.0 3.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 3.0 0.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 -3.0 1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 2.0 -2.0 1.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 -3.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 3.0 0.0 2.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 1.0 -2.0 0.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 -2.0 -2.0 0.0 -1.0 2.0 -2.0 -3.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 1.0 2.0 0.0 -1.0 3.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 2.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 2.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 -3.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 3.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 1.0 1.0 6116.0 2124288.0 860.0 2130404.0 410184.0 2203648.0 0.0 0.0 13048.0 2675712.0 98748.0 2617344.0 84.0 1979696.0 0.0 0.0 0.0 0.0 24.0 1979876.0 64.0 1979784.0 0.0 0.0 3664.0 1748992.0 0.0 0.0 0.0 0.0