Input: 0.013199229 0.0040362 0.003654669 0.0038855958 0.0040110997 0.0038529648 0.0037764076 0.003960898 0.0040525156 0.003721186 0.0036320782 0.0037124006 0.0039960393 0.003757582 0.0038165688 0.004410201 0.0038316292 0.0035944271 0.0036634542 0.0037738974 0.003933287 0.003962153 0.003726206 0.0040512607 0.0037525618 0.0036621992 0.0035831318 0.0037713875 0.0037663672 0.0037826828 0.004024905 0.0040437304 0.0036094876 0.0035002993 0.0037299711 0.003786448 0.003825354 0.0036734946 0.0036659644 0.003824099 0.003628313 0.0036822797 0.0036697295 0.003857985 0.003622038 0.0036760045 0.0038341393 0.0041366033 0.0036973401 0.0037939781 0.0036345883 0.0039320323 0.0036772597 0.0037475417 0.003492769 0.0038630052 0.003964663 0.003955878 0.0036308232 0.0041102474 0.003795233 0.0039106966 0.0040487507 0.0044428324 0.004324859 0.003865515 0.0040349453 0.0037161657 0.0038768107 0.004091422 0.0038504547 0.0038140586 0.0036044675 0.0036722394 0.0035944271 0.0038379044 0.0036483938 0.0038642602 0.0038994013 0.0039734486 0.004120288 0.0036847899 0.0037450315 0.004196845 0.0036207829 0.0036910651 0.0039709383 0.0039470927 0.0036697295 0.0036433735 0.0036973401 0.0037801727 0.0038529648 0.003791468 0.0038968911 0.004057536 0.0035693264 0.0038178237 0.0038027633 0.0037098906 0.003652159 0.0041792747 0.0035843868 0.003822844 0.0037789177 0.0040412205 0.003925757 0.0036697295 0.003962153 0.0037362464 0.0039784685 0.004496799 0.004124053 0.0038140586 0.004037455 0.0039056763 0.0046135173 0.0045068394 0.0037826828 0.0039408174 0.003962153 0.0038416695 0.0037663672 0.003960898 0.0041002072 0.0041993554 0.0043474496 0.004624813 0.003935797 0.0037324813 0.0035756016 0.004230731 0.00369232 0.003994784 0.0036634542 0.0040098447 0.0036396084 0.004022395 0.003595682 0.0046561887 0.0036119977 0.003934542 0.003753817 0.003898146 0.0035730915 0.0036471386 0.0036659644 0.0037613472 0.003654669 0.0036446287 0.0036258032 0.0038755555 0.0035442256 0.003563051 0.0036985953 0.0037161657 0.0037048704 0.003693575 0.0036910651 0.004371295 0.0035843868 0.0037789177 0.0035090847 0.0037349914 0.0035781115 0.0037011052 0.0037513068 0.004082637 0.0035040644 0.0036458836 0.0033697754 0.0036170178 0.0036446287 0.0035818769 0.0036722394 0.0040148646 0.003726206 0.0035291652 0.003590662 0.003652159 0.0036785146 0.00369232 0.0035931722 0.003722441 0.0037425216 0.0036069774 0.0038115487 0.0037199308 0.0039508576 0.0037776625 0.0040098447 0.0043487046 0.004091422 0.0039960393 0.0039307773 0.003972193 0.0038642602 0.0037638573 0.0037274612 0.0041516637 0.0037149107 0.0037776625 0.0038956362 0.003659689 0.00369232 0.003726206 0.0037751526 0.003915717 0.0037349914 0.003753817 0.003860495 0.004095187 0.0038454346 0.0036396084 0.0035605412 0.0038002532 0.0037349914 0.0037023604 0.003757582 0.003688555 0.0039056763 0.0037337362 0.0039044213 0.0042068856 0.0039696833 0.004001059 0.0036534138 0.003993529 0.0038052734 0.003924502 0.003933287 0.003918227 0.0044516176 0.0040813815 0.0036647092 0.0041466434 0.0038818307 0.0039056763 0.0038630052 0.004270892 0.0042658723 0.0041629593 0.0041102474 0.0040613012 0.0039747036 0.0039433273 0.00403118 0.004055026 0.0045093494 0.0044453423 0.0040525156 0.004103972 0.0046725045 0.00419559 0.0046474035 0.0063128383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023653675 3.3934604e-05 7.541023e-05 4.524614e-05 0.00016087516 8.1694416e-05 0.00036322596 0.00033054818 0.00013699525 3.8333535e-05 1.1939954e-05 2.1366232e-05 3.2677766e-05 1.9480976e-05 1.6338883e-05 0.00012756897 0.0012637498 1.6967302e-05 9.1120695e-05 7.352498e-05 0.00034751548 0.00016150357 0.0010670548 0.00057563145 7.541023e-05 1.0683116e-05 7.541023e-06 1.7595721e-05 2.3879908e-05 1.3196791e-05 1.1939954e-05 0.00010368907 0.0009093217 2.7650418e-05 2.0109395e-05 2.7650418e-05 0.00020297921 0.00010557433 0.000621506 0.00047445603 5.2787163e-05 1.822414e-05 1.6338883e-05 2.0737814e-05 2.262307e-05 1.822414e-05 1.5710464e-05 2.0109395e-05 0.001200908 6.347028e-05 5.467242e-05 7.666707e-05 0.00015396255 9.6776464e-05 6.724079e-05 0.00018224139 0.00022371703 3.3306187e-05 1.4453628e-05 3.142093e-05 8.043758e-05 5.6557674e-05 8.232283e-05 0.00015584781 0.0004021879 2.5136744e-05 7.7923905e-05 0.00010934484 4.901665e-05 3.8333535e-05 0.0002570232 0.00016338883 2.0737814e-05 2.0737814e-05 1.5082046e-05 2.3879908e-05 1.5082046e-05 1.7595721e-05 2.0737814e-05 3.079251e-05 0.0027958343 0.0004637729 0.00020486447 0.00038899112 0.0008213431 0.00065795425 0.00036448278 0.00067554996 0.0010859073 0.00013510999 0.00013448158 0.00011500061 0.0005291285 0.00023125805 0.0007019436 0.0009903878 0.004239312 0.0009558247 0.0005775167 0.0007377634 0.0016370304 0.0012826023 0.00059636927 0.0014139418 0.0017061565 0.0002601653 0.00022685912 0.00024256959 0.000803119 0.000378308 0.0011028746 0.0018576054 0.05784279 0.059359793 0.058638997 0.060273513 0.058324788 0.058977712 0.058385115 0.061733957 0.05868424 0.058950692 0.058377575 0.059711706 0.060182393 0.06022575 0.061547946 0.066311985 3753.0 6.314149 23697.0 0.012026839 0.008650884 0.00974807 0.0078068953 0.009621471 0.009115078 0.007891295 0.0084820865 0.009030679 0.0071739038 0.009494873 0.008861882 0.008102291 0.009494873 0.010254462 0.010001266 0.007975693 0.007764696 0.008017893 0.009537072 0.008988479 0.009368274 0.008988479 0.008017893 0.009790269 0.009030679 0.008735283 0.009368274 0.010254462 0.008777482 0.009579272 0.009959066 0.008861882 0.012913027 0.008397687 0.010929653 0.009832468 0.0097058695 0.01118285 0.010381061 0.008777482 0.010845255 0.008060092 0.009199477 0.009368274 0.009030679 0.008608685 0.010212263 0.011098451 0.008313289 0.010085665 0.011225049 0.009283876 0.008524286 0.009874668 0.00974807 0.009157278 0.007933494 0.00974807 0.008819682 0.009241676 0.0075114993 0.010423261 0.009030679 0.008102291 0.01645778 0.010507659 0.011858041 0.013630417 0.025783854 0.00974807 0.011731443 0.009916867 0.018103557 0.008271089 0.0094104735 0.015909187 0.011900241 0.015402794 0.018483352 0.011562645 0.007891295 0.016921973 0.015360594 0.02097312 0.0121956365 0.010887454 0.011689243 0.010127864 0.010845255 0.009199477 0.0094104735 0.009579272 0.010085665 0.011056252 0.010760856 6.5367475 0.0 1.0 0.0 8.0 796789.0 282624.0 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 24064.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 4.415917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 2960.0 0.0 0.0 0.0 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 29872.0 2960.0 278528.0 0.0 0.0 6448.0 4742008.0 0.0 0.0 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: 0.17780337 0.007515285 0.0068094004 0.003959324 0.0046439795 0.003226902 0.0056311567 0.004208772 0.0036514946 0.0026908542 0.0063370415 0.0031154468 0.002531632 0.0025422468 0.00251571 0.0027863875 0.0033648948 0.0031207541 0.004702361 0.002791695 0.0032587466 0.00278108 0.003736413 0.0028129246 0.0026430876 0.0023034138 0.0026537024 0.0034657354 0.002648395 0.0019106658 0.0024414062 0.0026537024 0.006459112 0.0028235393 0.0024573284 0.00321098 0.0033330503 0.0029721467 0.006517493 0.0028129246 0.00376295 0.0029403022 0.0028341543 0.0028341543 0.0031950579 0.0026112432 0.0030623726 0.0024891729 0.003078295 0.002728006 0.0033224355 0.0028129246 0.0030358357 0.0026749321 0.0030889097 0.002319336 0.0026590098 0.0025422468 0.0023087212 0.0028076172 0.0028076172 0.0031366763 0.0029243801 0.003343665 0.0030358357 0.003773565 0.003932787 0.0043892236 0.0030464504 0.0037204907 0.003603728 0.003131369 0.003789487 0.0045537534 0.004102624 0.009049125 0.0031207541 0.0074515967 0.0033702021 0.0029190728 0.0030517578 0.0029721467 0.0037841797 0.00433615 0.0033489724 0.002319336 0.002701469 0.002828847 0.0026696248 0.0023671025 0.0030623726 0.0027598506 0.0022450322 0.0022981062 0.0026749321 0.0042246943 0.002255647 0.0055780825 0.0038584834 0.004245924 0.0035559612 0.008465311 0.0028553838 0.0034179688 0.0030199133 0.0058806045 0.002452021 0.0032481318 0.004564368 0.0038107168 0.00544009 0.009696629 0.003879713 0.002897843 0.0064962637 0.006066364 0.007021697 0.0038744055 0.0029933765 0.0030199133 0.0028766135 0.003226902 0.0021866509 0.003343665 0.0027067766 0.0026908542 0.0028129246 0.0029137654 0.0041503906 0.002897843 0.0026377803 0.0023511804 0.0025104026 0.0025263247 0.0025210173 0.0024201765 0.0019425101 0.0025634766 0.0024573284 0.0024307915 0.002282184 0.0029190728 0.0026855469 0.0025104026 0.00251571 0.0028606912 0.007536515 0.002765158 0.002595321 0.002712084 0.0036992612 0.0027226987 0.0021441916 0.002844769 0.0028553838 0.0028023098 0.0025581692 0.0030464504 0.002568784 0.0027704653 0.002462636 0.0028341543 0.002728006 0.0029403022 0.003094217 0.0031154468 0.00251571 0.0025847063 0.0026006284 0.002632473 0.0018045177 0.002621858 0.002335258 0.0032003652 0.00278108 0.0029456096 0.0028076172 0.0031632134 0.0024732507 0.0028925356 0.0027598506 0.0030092986 0.002828847 0.002701469 0.002881921 0.003147291 0.002728006 0.0032746687 0.0025847063 0.0029190728 0.0027598506 0.0026802395 0.0038637908 0.0026059358 0.0023034138 0.002728006 0.0024838655 0.0031101392 0.002621858 0.0029827615 0.0024414062 0.0026430876 0.0024997876 0.0028076172 0.0023671025 0.0027598506 0.0026165505 0.0026537024 0.0024732507 0.0024042544 0.0029403022 0.0023087212 0.0021654211 0.0026059358 0.0027545432 0.0025793987 0.0021070398 0.002452021 0.0025528618 0.0029721467 0.0026802395 0.0025793987 0.0026112432 0.0025634766 0.0030464504 0.0027757727 0.0028129246 0.0027970024 0.0024042544 0.0024307915 0.0021707285 0.0024732507 0.0022238027 0.0024679434 0.0023034138 0.0023564878 0.001953125 0.0024042544 0.0026430876 0.0029668394 0.0027333135 0.0030570652 0.0026059358 0.0023034138 0.0022238027 0.0024095618 0.0024095618 0.0025475544 0.0025900137 0.0028076172 0.0020805027 0.0024997876 0.002728006 0.0023777173 0.0028341543 0.024557363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044559 1.3341018e-05 1.8677425e-05 4.2691256e-05 9.872353e-05 4.2691256e-05 5.870048e-05 4.0023053e-05 2.935024e-05 0.00011473275 8.8050714e-05 6.136868e-05 9.605533e-05 6.670509e-05 5.870048e-05 0.00017876964 0.016177319 0.00017876964 0.00053364073 0.0003815531 0.00033085723 0.0001520876 0.0009792307 0.0005683274 8.0046106e-05 0.00027482497 0.0002267973 0.00016276042 0.00033085723 0.00021345628 0.00028282957 0.0009845671 0.008962496 0.0003735485 0.00055765454 0.00019211066 0.0025508027 0.0018037056 0.011270491 0.006248933 0.00021345628 0.00011206455 0.00012273736 0.0001520876 0.000101391735 3.735485e-05 3.4686647e-05 5.336407e-05 0.034699988 0.002662867 0.0051309555 0.0010405994 0.002291987 0.002057185 0.009445441 0.005544527 0.00031217982 0.00016276042 0.00032285263 0.0008244749 0.00026415216 0.0003895577 0.0002267973 0.00019744707 0.04675493 0.004157061 0.003474001 0.0021132173 0.004890817 0.0024867656 0.0061582136 0.0039115865 0.0014568391 0.0019291112 0.0012380464 0.0012140326 0.0015555627 0.0009845671 0.0010059128 0.0041010287 0.023111979 0.002177254 0.002633517 0.0012620603 0.0020385075 0.0010005763 0.0016169314 0.0012513874 0.0014648438 0.000917862 0.0011580003 0.0013207608 0.00094988046 0.0005843366 0.0006350324 0.0015929175 0.025852224 0.0016943093 0.004509264 0.002281314 0.0050455728 0.0019718024 0.0027615908 0.0020998763 0.0015288807 0.0027615908 0.0015182078 0.0012433828 0.0013260972 0.0010085809 0.0009018528 0.003604743 0.01578776 0.0018197148 0.0017129867 0.0013874659 0.0020625214 0.0013180926 0.0030417521 0.002163913 0.0011980234 0.0009765625 0.0009712261 0.0010566086 0.0011846824 0.0008484887 0.0007711108 0.0019504568 0.024157915 0.001755678 0.002086535 0.0038181993 0.014840548 0.003367273 0.0034846738 0.0030871115 0.002505443 0.007585703 0.0046746926 0.0047253887 0.004133047 0.0027455816 0.0018837517 0.013509114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.036759842 0.03261612 0.033723425 0.033245817 0.033141755 0.033680733 0.033768784 0.034270406 0.033219133 0.03442516 0.033099066 0.035089545 0.033763446 0.034080964 0.034633283 0.036930606 1200.0 11.488334 13786.0 0.008994632 0.0054403017 0.0073988102 0.008631946 0.008631946 0.006093138 0.05019585 0.006238213 0.003626868 0.0037719426 0.002248658 0.0029014943 0.003046569 0.0036994051 0.012258814 0.0029014943 0.006745974 0.006238213 0.011025678 0.0063832873 0.0050050775 0.0061656754 0.0039170175 0.0024662702 0.0024662702 0.003626868 0.0029740317 0.004062092 0.0043522413 0.0039170175 0.0037719426 0.0027564196 0.0029740317 0.01015523 0.010227768 0.01646598 0.008631946 0.007761497 0.0068185115 0.0064558247 0.0056579136 0.009937618 0.003264181 0.0037719426 0.004207167 0.007108661 0.0041346294 0.004062092 0.007834035 0.0049325405 0.01015523 0.018859712 0.012403888 0.0043522413 0.0061656754 0.0029014943 0.0037719426 0.002611345 0.0039170175 0.0031916436 0.0026838821 0.002031046 0.0029014943 0.016538518 0.0023937328 0.035108082 0.019004788 0.020237923 0.014144785 0.07340781 0.0050050775 0.01617583 0.0073262732 0.03372987 0.005295227 0.0068185115 0.027491659 0.019149862 0.030610764 0.041926593 0.013782098 0.004062092 0.040258233 0.033077035 0.055563614 0.019657623 0.0068185115 0.0073262732 0.0049325405 0.012331351 0.003626868 0.0029014943 0.0029014943 0.002031046 0.0021761206 0.0018859713 5.8979044 0.0 0.0 0.0 1.0 188416.0 212992.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3805557200.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 108032.0 512.0 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 -108032.0 0.0 79360.0 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 -7.0572534 0.0 7.291088 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 -107900.0 0.0 78920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 116001.0 78920.0 122880.0 0.0 0.0 0.0 0.0 12.0 204800.0 56.0 115852.0 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: 0.060368624 0.004387957 0.004032728 0.0034270906 0.0033746797 0.0034037968 0.0035814117 0.0038900536 0.0044782204 0.003197065 0.0034824132 0.0031271838 0.0036629396 0.0036192639 0.0029146285 0.00388423 0.0032232704 0.0031068018 0.0041200793 0.00513918 0.003927906 0.003258211 0.0044170744 0.0030893316 0.0034358257 0.003933729 0.0036949685 0.0039017005 0.00310389 0.0028593058 0.0033018868 0.0029379223 0.005080946 0.0032087117 0.0030252738 0.0037794083 0.0028389238 0.003496972 0.0029553925 0.0034736781 0.0030369207 0.003269858 0.00396867 0.0029379223 0.003083508 0.0029524807 0.0038289076 0.0029350105 0.0032873282 0.0037706732 0.0035843232 0.004958654 0.0030893316 0.0029291871 0.0038813185 0.0030310971 0.0033892384 0.0040152576 0.004227813 0.004801421 0.0029786862 0.0029786862 0.0032727697 0.0028709527 0.005887491 0.0045160726 0.0029990682 0.0038580247 0.0053051477 0.012983345 0.0032320055 0.0044578384 0.0036862334 0.0043413695 0.0034503844 0.0029670394 0.0035522943 0.0049470067 0.0040443745 0.0029583042 0.0047664805 0.0037764965 0.0031475658 0.0036687632 0.0034824132 0.0036745865 0.0032407406 0.0034212673 0.004029816 0.003380503 0.0035901468 0.002981598 0.0032960633 0.0041550198 0.0039599347 0.0031417424 0.0040764036 0.0031271838 0.0034678546 0.003517354 0.0035231772 0.0038492896 0.0035697648 0.0034154437 0.0038580247 0.0033455626 0.0041608433 0.0033135337 0.0045160726 0.0031097136 0.003229094 0.003269858 0.003485325 0.0036804099 0.003144654 0.0035202655 0.004288959 0.002981598 0.003761938 0.0033659446 0.0031009784 0.0028593058 0.002972863 0.0034562077 0.0033484742 0.0030369207 0.0033077102 0.0032320055 0.0046005123 0.004073492 0.0048567434 0.0043966924 0.0035726766 0.0032640344 0.0029903331 0.0030398322 0.0041259024 0.003948288 0.0031475658 0.006108782 0.003339739 0.0036833216 0.0035814117 0.0033135337 0.004029816 0.0031883297 0.0043937806 0.0044461912 0.003558118 0.002993245 0.0030194502 0.0029175403 0.0029262754 0.004638365 0.0029437456 0.0029903331 0.0030252738 0.0033746797 0.0032611229 0.0035115303 0.0030602142 0.0042918706 0.002836012 0.0038580247 0.004248195 0.003371768 0.0028447472 0.003319357 0.0029961565 0.0029670394 0.0029233636 0.00329024 0.0039861402 0.0036600279 0.0032407406 0.0036658514 0.0035115303 0.002725367 0.0033135337 0.0032756813 0.0029233636 0.0036425577 0.0029786862 0.0029786862 0.0032611229 0.003834731 0.003051479 0.004842185 0.004009434 0.0032873282 0.003555206 0.0041754018 0.0043937806 0.0035930586 0.003761938 0.0037357325 0.0042947824 0.0033484742 0.010755882 0.0046820403 0.0034678546 0.0034824132 0.0050343582 0.0038289076 0.006577568 0.0033542977 0.0033251806 0.0030805962 0.0030048918 0.0031912415 0.0035785 0.0028301887 0.0042802235 0.0027806894 0.0031213604 0.0029670394 0.003930818 0.0036629396 0.003034009 0.003773585 0.004390869 0.003496972 0.0030864198 0.0033426508 0.0049295365 0.002876776 0.00388423 0.0030893316 0.002993245 0.0032931517 0.0043850453 0.0040239925 0.0045393663 0.003063126 0.0028622176 0.0030194502 0.0037357325 0.0038725834 0.0039424645 0.0029058934 0.0043966924 0.0036425577 0.0035319123 0.0045393663 0.0041404613 0.003360121 0.003721174 0.0038376427 0.0044345446 0.0048043327 0.0038667598 0.0033339157 0.0041608433 0.0030805962 0.003700792 0.006641626 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052110136 0.054387808 0.05102393 0.05502959 0.052227087 0.050740317 0.051385023 0.05059705 0.05174173 0.052238785 0.052392285 0.053314757 0.05720785 0.051972713 0.05242445 0.05551787 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343440.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.010873216 0.0042230687 0.0038821632 0.0039769514 0.00417318 0.0038904778 0.004028503 0.0039071073 0.0038347691 0.003962816 0.003917085 0.0039104335 0.003969468 0.0039295573 0.0038913095 0.0038297803 0.003932052 0.003833106 0.0037832174 0.0039129276 0.0038655337 0.0039087706 0.0038638706 0.0039503444 0.0038289486 0.0037749028 0.0038588818 0.003707553 0.005664017 0.003799847 0.0037674194 0.0037607676 0.004026009 0.0037574416 0.0038971298 0.0038264543 0.0039021187 0.0037915322 0.0044608708 0.0038189709 0.003888815 0.0038181394 0.0037399807 0.003853893 0.0037940266 0.0038455783 0.0040085474 0.0038264543 0.0041498984 0.00395367 0.003906276 0.0038455783 0.0039661424 0.0038505672 0.003785712 0.0038306117 0.0039802776 0.003930389 0.0037940266 0.0037907008 0.003939535 0.0038879835 0.0038771743 0.0038031728 0.0038231283 0.0038198025 0.0038339375 0.003836432 0.003813982 0.0037449696 0.0038405894 0.0038854892 0.0038530615 0.0038829946 0.003813982 0.0038006785 0.003675957 0.0038497355 0.0038971298 0.0038380949 0.0037782285 0.0038580503 0.0038040043 0.0038971298 0.0038430837 0.003922074 0.0037524528 0.0038821632 0.003799847 0.0037524528 0.003769914 0.0038106563 0.0038622078 0.0037374862 0.0038106563 0.0037907008 0.0037848805 0.003969468 0.0039345464 0.0039495127 0.0038946352 0.004065088 0.0038513986 0.0038430837 0.0037740713 0.0040609306 0.0037682508 0.0038281172 0.0038962984 0.0038580503 0.004041807 0.0039644795 0.0038563875 0.0038588818 0.0039594905 0.0039345464 0.0040551103 0.003853893 0.003888815 0.0039661424 0.0038913095 0.003888815 0.0038023414 0.003888815 0.0037640936 0.0037931951 0.003789038 0.0038231283 0.003916254 0.0038938038 0.0037283401 0.0037674194 0.0038755115 0.0038264543 0.0038904778 0.0036834404 0.0038622078 0.0038946352 0.0038530615 0.003780723 0.0038322746 0.0038281172 0.003914591 0.0038123191 0.0039004555 0.0038414209 0.0038505672 0.0039037815 0.0038389263 0.0038513986 0.0039087706 0.0038480726 0.0038805003 0.0037166993 0.0037873748 0.0039594905 0.003782386 0.0037873748 0.003769914 0.0038189709 0.0039594905 0.0037690825 0.0038123191 0.0037607676 0.0038605449 0.0038846575 0.0038380949 0.0038771743 0.0038414209 0.00385223 0.003833106 0.003798184 0.0038688595 0.003789038 0.003777397 0.0038297803 0.0038821632 0.0037765657 0.0038089931 0.0038414209 0.003764925 0.0038264543 0.0038239597 0.003833106 0.0038513986 0.003813982 0.0038854892 0.0038987927 0.0038447466 0.003698407 0.0047626966 0.0037865434 0.004047627 0.0037574416 0.0037574416 0.003864702 0.0039345464 0.0037931951 0.0038938038 0.0038913095 0.0038040043 0.0038746798 0.0038613763 0.0037940266 0.0038480726 0.003758273 0.0037923637 0.0038771743 0.003883826 0.0038098248 0.0039403667 0.003887152 0.0038397578 0.0038356006 0.003764925 0.0038447466 0.0039561647 0.0037707454 0.0037574416 0.0038297803 0.0038006785 0.0037940266 0.0037848805 0.003853893 0.0038114877 0.0038356006 0.0037973525 0.0038879835 0.0039179167 0.0037898694 0.0037873748 0.0038164766 0.0039179167 0.0038655337 0.0037233513 0.00375079 0.0038938038 0.0037574416 0.0038414209 0.0037940266 0.0037882063 0.0038971298 0.003855556 0.0037898694 0.0037724082 0.0038464097 0.0038314431 0.0038805003 0.003763262 0.003876343 0.0038613763 0.0037923637 0.0038663652 0.0038447466 0.003944524 0.0073003625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00071348174 1.123921e-05 5.8277387e-06 2.830616e-05 4.5789375e-06 5.8277387e-06 4.1626704e-06 6.244006e-06 1.16554775e-05 6.660273e-06 6.244006e-06 5.4114716e-06 9.5741425e-06 4.5789375e-06 2.4559757e-05 4.1626704e-06 0.0013778439 4.121044e-05 1.7483217e-05 4.662191e-05 9.990409e-06 1.16554775e-05 1.5818148e-05 1.123921e-05 4.245924e-05 1.2071744e-05 1.2904278e-05 1.3736812e-05 1.7899483e-05 1.831575e-05 4.7454443e-05 8.325341e-06 0.0013212316 6.410512e-05 2.5808557e-05 3.1220028e-05 1.123921e-05 1.0822943e-05 2.3310955e-05 2.1645887e-05 6.785153e-05 1.415308e-05 1.2904278e-05 1.3736812e-05 1.4569347e-05 1.8732017e-05 4.5373108e-05 8.325341e-06 0.00087873975 6.285632e-05 8.200461e-05 2.122962e-05 2.2894688e-05 8.741608e-06 7.492807e-06 2.0813353e-05 1.415308e-05 2.9138694e-06 4.5789375e-06 1.3320546e-05 2.9138694e-06 5.8277387e-06 2.2062153e-05 0.0005344869 0.0008192136 0.0013449588 0.0005411472 3.246883e-05 2.7057358e-05 1.4985614e-05 0.00010781317 4.079417e-05 7.909074e-06 2.0813352e-06 5.8277387e-06 0.00066810864 4.620564e-05 1.6234415e-05 1.831575e-05 0.0022744832 0.00081671594 0.0005973432 0.0002085498 0.00011197584 5.3698448e-05 3.8712835e-05 0.00026765972 0.00013903319 5.5779783e-05 2.7473625e-05 2.122962e-05 0.00031053522 4.7454443e-05 4.079417e-05 4.662191e-05 0.0006264819 0.00047287936 3.9961637e-05 2.9138693e-05 5.786112e-05 2.4559757e-05 3.371763e-05 5.036831e-05 2.8722427e-05 3.371763e-05 9.5741425e-06 1.2488012e-05 7.07654e-06 1.415308e-05 1.0406677e-05 1.2488012e-05 1.5401882e-05 0.00042542492 3.4550165e-05 2.8722427e-05 2.7889891e-05 4.121044e-05 3.704777e-05 3.3301363e-05 2.9138693e-05 4.245924e-05 1.415308e-05 1.9980818e-05 1.8732017e-05 2.6641092e-05 1.7483217e-05 2.6224825e-05 2.955496e-05 0.00017399962 2.9971228e-05 0.00012321505 9.865529e-05 2.7057358e-05 1.7066948e-05 0.00019897566 0.00011530597 1.16554775e-05 6.660273e-06 8.741608e-06 4.1626704e-06 7.492807e-06 7.07654e-06 1.2488012e-05 9.990409e-06 0.0008083906 0.00012446386 0.00016276042 0.00014610974 0.00014819107 0.000101985424 0.0003234395 0.00019398045 8.283714e-05 5.536352e-05 6.6602726e-05 6.410512e-05 6.2440056e-05 6.327259e-05 7.825821e-05 7.534434e-05 0.0011060216 0.00030137735 0.0003625686 0.0004574775 0.00024060236 0.00026682718 0.00061108003 0.00040211398 0.00024934395 0.00015901402 0.00016400922 0.00014985613 0.00016192788 0.00015859774 0.00015859774 0.00016567428 0.060916103 0.060582258 0.06067259 0.06122414 0.060608897 0.060558945 0.06082286 0.06100227 0.060768746 0.06118293 0.061058052 0.0608674 0.06117752 0.06103391 0.060743768 0.06120416 5610.0 6.125312 34363.0 0.016442103 0.008322906 0.011000204 0.009312342 0.009632453 0.010156273 0.009923465 0.010127172 0.008817623 0.010214475 0.00899223 0.009981667 0.009486948 0.011233012 0.011727731 0.011116608 0.013444694 0.012920874 0.010709193 0.010680092 0.0097779585 0.010214475 0.0106218895 0.009428746 0.010592788 0.010010768 0.009312342 0.00954515 0.010592788 0.009661554 0.0106509905 0.008235603 0.009341443 0.010010768 0.009865262 0.009516049 0.010563687 0.009108635 0.009836161 0.008613916 0.01035998 0.009952566 0.009225039 0.009370544 0.008701219 0.00954515 0.010418182 0.009923465 0.009225039 0.009981667 0.009399645 0.0106509905 0.010039869 0.010156273 0.009283241 0.010214475 0.009690655 0.009050433 0.009225039 0.009574251 0.009283241 0.009457847 0.008177401 0.008788522 0.008963129 0.012920874 0.010505485 0.013677502 0.0114658205 0.014084917 0.009341443 0.011262113 0.009516049 0.014957949 0.009661554 0.009836161 0.010971103 0.0123388525 0.012455257 0.014550534 0.0123388525 0.009428746 0.0140558155 0.014405029 0.015918285 0.010301778 0.009225039 0.010971103 0.010796497 0.010476384 0.009283241 0.010098071 0.008963129 0.00954515 0.008817623 0.009428746 6.5678034 0.0 19.0 0.0 20.0 1202680.0 4395008.0 0.0 0.0 12.0 1.0 1.0 1.0 0.0 0.0 1543559000.0 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 11.0 0.0 5.0 1.0 5.0 1.0 1972224.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -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 -1169408.0 0.0 24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.21620691 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999827 0.0 4.934037 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4362240.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 105.0 2468352.0 620.0 4386036.0 18854.0 4366336.0 0.0 0.0 7672.0 1195008.0 24.0 4390912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 2450904.0 0.0 0.0


Input: 0.1995816 0.0076397387 0.0055917567 0.004676864 0.006734416 0.0026087847 0.02513276 0.00463667 0.008594826 0.0027599907 0.0027753029 0.002932251 0.0053036995 0.0031695873 0.002982015 0.0042490843 0.004263439 0.0016651817 0.0017982048 0.0011551002 0.0042136754 0.002830809 0.0017388707 0.0018163879 0.0026499357 0.0015704386 0.001985777 0.0012967363 0.0025781607 0.0010555721 0.0013005644 0.0023283835 0.005147708 0.0020058742 0.0023513513 0.0014996205 0.0034557306 0.0015847937 0.0023484805 0.0014383725 0.0024853316 0.0014517705 0.0015388576 0.0017302578 0.0034308485 0.0020403261 0.0014575125 0.0012986503 0.0036385178 0.0023073293 0.0026030426 0.0048692212 0.0030958983 0.0024757616 0.0021589943 0.0020058742 0.0030528333 0.0029332081 0.001864238 0.0036413888 0.0023092434 0.0022508663 0.0023025444 0.0026776888 0.0035523877 0.0022556514 0.002008745 0.0026786458 0.00303465 0.008718279 0.008642676 0.0062118936 0.004899845 0.0017675809 0.0016269017 0.0014737815 0.0018929479 0.005834835 0.0015158895 0.0014125335 0.008447448 0.0021302842 0.0021915322 0.004785962 0.002074778 0.0035629147 0.003798337 0.003065274 0.002027885 0.0028432498 0.0011292612 0.0020843481 0.0018001188 0.0027619048 0.0024508794 0.001973336 0.0027724318 0.0027398937 0.0015302446 0.001940798 0.0027523348 0.004739069 0.0031820282 0.0025063856 0.0043916777 0.002893971 0.0053984425 0.0012297463 0.0027590338 0.001958024 0.0031016401 0.0031006832 0.0023102004 0.0011952942 0.00384523 0.0033026105 0.0073870905 0.0071708085 0.0015847937 0.002817411 0.0032911263 0.0015178035 0.00103069 0.0016871927 0.001939841 0.0024183416 0.0014642115 0.0017455698 0.030480482 0.001864238 0.0011857243 0.0073775207 0.0032786855 0.00759476 0.0010230341 0.0018699799 0.002915982 0.0073047886 0.002817411 0.019541003 0.002791572 0.015295747 0.0011895522 0.0010986371 0.0022719204 0.00096082897 0.0010718411 0.0013531994 0.0026288817 0.0024929876 0.00094456 0.0008010098 0.0015943636 0.0011407451 0.0010431311 0.000987625 0.0028097548 0.0015857506 0.0008450319 0.0010201631 0.0016039336 0.002954262 0.0011828532 0.0012153912 0.0015302446 0.0024594925 0.000950302 0.0017982048 0.0013216183 0.0013465004 0.0012259183 0.000930205 0.0015589546 0.002092004 0.00092254893 0.000932119 0.0015780947 0.0017972479 0.0008947959 0.0015187606 0.0013838235 0.002965746 0.001025905 0.0015235456 0.0034117086 0.0008967099 0.000980926 0.0011684982 0.0016709238 0.0027446789 0.0012632413 0.0015962777 0.006432004 0.0021398542 0.0025925157 0.002834637 0.0025590206 0.0011043792 0.005923836 0.0056051547 0.002924595 0.0018862489 0.000976141 0.0022068443 0.004524701 0.000979969 0.004148599 0.0016958057 0.001862324 0.0012603702 0.0013369304 0.0012756824 0.0014173185 0.000953173 0.0037830248 0.0018460549 0.0025293536 0.000953173 0.0009847541 0.0014709105 0.0015111045 0.0012192193 0.0030595323 0.0014488995 0.00282411 0.0012795103 0.00081440783 0.0008766129 0.0017570538 0.0015149326 0.000931162 0.0032327494 0.013294658 0.0034404185 0.000999109 0.003062403 0.0034844405 0.000932119 0.00092924794 0.002971488 0.003002112 0.0015149326 0.0008689569 0.000958915 0.0016402997 0.001931228 0.0016575257 0.0042672674 0.0026796027 0.003069102 0.0014182754 0.0023599644 0.005907567 0.0043581827 0.004664423 0.06085665 0.068671316 1.9167076e-06 2.3958844e-06 9.583538e-07 4.791769e-07 2.3958844e-06 9.583538e-07 0.0 1.0541891e-05 4.791769e-07 9.583538e-07 1.4375306e-06 0.0 0.0 0.0 9.583538e-07 0.0018702274 2.8750612e-06 2.3958844e-06 2.0604606e-05 1.4375306e-06 0.0 1.4375306e-06 0.0 5.3667813e-05 9.583538e-07 4.791769e-07 9.583538e-07 2.8750612e-06 9.583538e-07 1.9167076e-06 1.9167076e-06 0.00090947776 1.9167076e-06 1.4375306e-06 2.3958844e-06 1.9167076e-06 4.312592e-06 1.9167076e-06 0.0 2.8271437e-05 3.833415e-06 8.625184e-06 1.1500245e-05 0.0 0.0 2.8750612e-06 2.8750612e-06 0.0045009083 4.791769e-06 3.833415e-06 6.2292997e-06 5.2709456e-06 4.312592e-06 8.625184e-06 8.625184e-06 0.00719532 1.0541891e-05 3.833415e-06 3.833415e-06 2.8750612e-06 4.312592e-06 1.0062715e-05 2.8750612e-06 0.002871228 1.1979422e-05 8.1460075e-06 1.4375306e-06 4.312592e-06 1.0062715e-05 9.104361e-06 4.791769e-07 0.0016718481 4.6959336e-05 3.0188145e-05 5.2709456e-05 4.168839e-05 3.4979912e-05 4.5042627e-05 6.6605586e-05 0.0039048125 0.000119794226 0.00010637727 0.0002836727 5.510534e-05 3.689662e-05 3.4979912e-05 6.2772175e-05 0.0018472269 8.625184e-05 5.845958e-05 6.85223e-05 3.066732e-05 3.8813327e-05 7.235571e-05 6.2772175e-05 0.0078077083 0.0002673807 0.0007949545 0.00054722 0.00037088292 0.00027504753 0.0002903812 0.0011183989 0.0021577335 0.0001370446 4.1209212e-05 5.6542875e-05 8.6731015e-05 0.00010877315 7.091818e-05 0.002552096 0.036555447 0.001289465 0.0042220275 0.0010350221 0.0031007538 0.0008069339 0.0061785067 0.0035746596 0.0012573602 0.0005366781 0.00018544146 0.0002966105 0.0002568388 0.00027840177 0.00028894367 0.0029435835 0.023398208 0.00095020776 0.0022574023 0.001121274 0.002890395 0.0013752377 0.0026977658 0.0017940382 0.0015319285 0.00047438513 0.00035411172 0.00032152768 0.00024006762 0.00038238315 0.00033925724 0.0020700442 0.017669648 0.0003938834 0.0011806919 0.001259756 0.002286153 0.0023129869 0.0056945384 0.0033163833 0.002511366 0.0013167781 0.0010446056 0.00056782464 0.0003958001 0.00058603333 0.000571658 0.003052836 0.012268366 0.00062292995 0.0012564018 0.00070582755 0.001625368 0.001305757 0.0030748781 0.002170192 0.004561285 0.0016239305 0.0012051299 0.0011677541 0.001102586 0.0011874003 0.0012741314 0.0041022333 0.012962693 0.0011471495 0.0019195826 0.013303868 0.0017523499 0.0018026634 0.0018898736 0.0016138678 0.01058358 0.0025041783 0.0026618277 0.0033504048 0.0051267133 0.004585723 0.0034951163 0.0058833337 0.0075724325 0.0008946232 0.0020173348 0.0020384185 0.00261391 0.002169713 0.0013690083 0.0012923401 0.007472764 0.0011390034 0.0012621519 0.0012655061 0.002855415 0.0016991613 0.002898541 0.011488745 0.04329651 0.0101250075 0.00569933 0.00749816 0.01776692 0.015034654 0.008599308 0.009663081 0.032993726 0.0034438444 0.0042795287 0.005151631 0.01638162 0.004770685 0.013661812 0.038140565 0.035954557 0.009930462 0.0069653154 0.0075652446 0.014913422 0.013527163 0.008230821 0.011080007 0.024947386 0.0031879637 0.004072045 0.004324571 0.0133939525 0.0044654496 0.011146612 0.022565877 0.009103882 0.008480952 0.008822605 0.008801042 0.0101413 0.0084632225 0.008905502 0.0089884 0.008898315 0.009016671 0.008795292 0.0097205825 0.008629976 0.008737312 0.008474243 0.008317073 5018.0 12.515345 62802.0 0.020094901 0.01764275 0.015604598 0.008439221 0.00832776 0.0014171524 0.023295436 0.010318142 0.009442374 0.0043788413 0.01275437 0.0062259166 0.017833827 0.013025063 0.0076430687 0.006926531 0.009888221 0.013391294 0.017897518 0.008630298 0.024601128 0.016671443 0.011050603 0.012833986 0.016321136 0.016368905 0.008216299 0.01259514 0.009553836 0.012929524 0.0137256775 0.015875291 0.012738448 0.008359606 0.008486991 0.0060348394 0.018502595 0.0075793765 0.006289609 0.008550683 0.018900672 0.010445527 0.0030253814 0.009346836 0.006671762 0.008041145 0.0028183816 0.006098532 0.00869399 0.003948919 0.0073086843 0.013200217 0.0087576825 0.012069679 0.0056367633 0.008407376 0.010127066 0.008471068 0.003741919 0.010748065 0.008009299 0.0036145346 0.0014489985 0.0044584568 0.003964842 0.015063214 0.008152607 0.009060221 0.012435909 0.028597815 0.0064488393 0.02221267 0.01025445 0.01665552 0.0045699184 0.002404382 0.012547371 0.0060189166 0.015588676 0.020381516 0.008885067 0.005302379 0.020174516 0.014856215 0.023390975 0.01025445 0.0038852266 0.012276679 0.015938982 0.0045699184 0.0031686889 0.0033438425 0.008359606 0.0011942295 0.0029616891 0.0026273048 6.359496 1.0 2.0 0.0 8.0 1044931.0 1069056.0 1.0 0.0 359.0 1.0 1.0 0.0 0.0 0.0 1493611500.0 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 11.0 0.0 5.0 1.0 5.0 1.0 429056.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -533504.0 0.0 299520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5891912 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.575665 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4150753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.44641 0.0 6.4718018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -97978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102658.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -535253.0 0.0 299068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 -1.0 -2.0 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 2.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 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 -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 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 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 -1.0 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 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 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 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 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 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 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 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 528836.0 299068.0 561152.0 0.0 0.0 0.0 0.0 26704.0 864256.0 56.0 435792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 483448.0 0.0 0.0 1476.0 434176.0 192.0 527896.0 0.0 0.0


Input: 0.29985204 0.01215966 0.0069088154 0.0053820256 0.008668814 0.003108238 0.002984346 0.0026673274 0.01065109 0.0015085704 0.0015340777 0.0014976388 0.0069999127 0.0021025245 0.0010640159 0.0048099346 0.0073023555 0.0022701435 0.0010057136 0.0011113865 0.0037787138 0.006056145 0.001093167 0.000663188 0.0028713853 0.0015814482 0.0006121735 0.000794368 0.0030717992 0.00092190417 0.00064496853 0.00092190417 0.004376312 0.00060124183 0.0005137885 0.00072877796 0.010417881 0.0012534981 0.0005028568 0.000429979 0.0020114272 0.0006486124 0.0019421934 0.0014757754 0.0012717176 0.0007324219 0.0011004547 0.0004664179 0.0020879488 0.0007178463 0.0008417386 0.004635028 0.0011842642 0.00084538246 0.0005866663 0.0005101446 0.0018255889 0.001982276 0.00056480296 0.0028495218 0.0012899371 0.0014065416 0.00056480296 0.0012134153 0.0052872845 0.0060124183 0.014269473 0.007958256 0.005392957 0.008523058 0.0036256704 0.0017344916 0.0026855469 0.0012862931 0.0004336229 0.00067047577 0.0027074101 0.0048937444 0.00198592 0.0013810343 0.009878586 0.0035163537 0.00224828 0.0043908875 0.0022337046 0.0044163945 0.006781279 0.004744345 0.0018656716 0.0029588386 0.00051743235 0.0021972656 0.0016433944 0.00218269 0.0043908875 0.0033997493 0.001195196 0.0020150712 0.0012207031 0.0014502682 0.0029989213 0.0061180913 0.0039609084 0.0010057136 0.0043325853 0.0024960646 0.007480906 0.0007214902 0.002652752 0.0010895231 0.0023648846 0.002616313 0.0029442632 0.0009765625 0.004048362 0.0027547807 0.0143132 0.011055562 0.0022737873 0.0018948228 0.0018146572 0.0010457964 0.0016470383 0.00045548624 0.0021353194 0.002317514 0.0016251749 0.0009838503 0.0043508047 0.0018401644 0.0006194613 0.010855149 0.0026600396 0.007225834 0.00088546524 0.0009328358 0.0037604943 0.009561568 0.0014502682 0.029238572 0.0010385086 0.0083044255 0.0007980119 0.00089639693 0.0031993354 0.0004664179 0.00038989622 0.00089639693 0.0008745336 0.0007761486 0.00055022736 0.00030973065 0.0010020697 0.0014502682 0.00045548624 0.00042633511 0.0007688608 0.0003571012 0.0007324219 0.00052107626 0.000991138 0.0011733326 0.00034616955 0.00076157297 0.0008490264 0.0014174732 0.00057209074 0.00067047577 0.0010713036 0.00048828125 0.00081623136 0.00078343635 0.00053200795 0.0008417386 0.000794368 0.00033523788 0.0011660447 0.00045184235 0.00059031014 0.0004336229 0.0014429804 0.0006413246 0.0010093575 0.0010020697 0.0030353602 0.0012352787 0.00073970965 0.0013701026 0.0010968109 0.00074335356 0.0009109725 0.0010057136 0.008326288 0.0026017374 0.003443476 0.0051087337 0.0029515508 0.000827163 0.002219129 0.0031519649 0.0019749883 0.002845878 0.0009073286 0.0007980119 0.0052544894 0.0008089436 0.0018146572 0.0010239331 0.0014101854 0.0010785914 0.0009874941 0.0012972248 0.0009000408 0.001326376 0.0011405376 0.0012826492 0.0017599988 0.0007980119 0.00056480296 0.0014211171 0.0016033115 0.0012061276 0.000597598 0.0014502682 0.00231387 0.0011368936 0.00096198695 0.0006923391 0.0014575559 0.0007652169 0.0007761486 0.00074335356 0.013402227 0.0035783 0.0007870802 0.0044637653 0.00397184 0.0008417386 0.00083445077 0.0009000408 0.004667823 0.0021353194 0.0010676597 0.0015996677 0.0025944496 0.0007251341 0.0027547807 0.0021426072 0.0045147794 0.0017272038 0.0010785914 0.0013701026 0.0041394588 0.0015960238 0.0037641383 0.056301743 0.08988764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0034984346 2.92603e-05 7.315075e-06 7.315075e-06 7.315075e-06 9.143843e-06 1.2801381e-05 1.6458918e-05 9.875351e-05 7.315075e-06 7.315075e-06 9.143843e-06 9.143843e-06 9.143843e-06 7.315075e-06 9.143843e-06 0.0066128275 9.875351e-05 6.0349368e-05 2.5602762e-05 4.5719218e-05 2.92603e-05 0.00010972613 0.000104239814 0.00011338366 2.92603e-05 4.9376755e-05 6.0349368e-05 6.766444e-05 2.3773993e-05 3.8404145e-05 2.1945225e-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 0.008779919 0.0002103084 0.0001225275 5.1205523e-05 0.00052302785 0.00011521243 0.0005431443 0.00027797284 9.1438436e-05 4.5719218e-05 0.00019202071 2.5602762e-05 6.0349368e-05 2.1945225e-05 2.7431532e-05 0.00014813026 0.005771594 0.00044621958 5.1205523e-05 3.2917837e-05 7.680829e-05 6.949321e-05 0.00012801381 6.583567e-05 5.1205523e-05 0.00014995903 0.00018653441 4.7547986e-05 3.6575373e-05 0.00010606858 0.00014264396 0.00012801381 0.03601943 0.0013532889 0.0011630969 0.00030906193 0.0035624416 0.0004791374 0.00080282945 0.00036026744 0.0003803839 0.0006784732 0.00052851415 0.00094547344 0.00049925386 0.00070407597 0.0003858702 0.00426286 0.016424172 0.00048096618 0.00062361016 0.00052302785 0.0013478026 0.00064189784 0.0011374941 0.00058703474 0.0003675825 0.00044987712 0.00018287687 0.00016458919 0.00037124005 0.00019202071 0.0005596032 0.0021634335 0.01779209 0.0006053224 0.0006967609 0.00065835676 0.002924201 0.0018068235 0.007830787 0.0041951956 0.0011356653 0.0006729869 0.00033832222 0.00046633603 0.0006912746 0.0005321717 0.0011192064 0.0034783182 0.024970008 0.0013807204 0.0014355835 0.00093450083 0.004696278 0.0020518785 0.0037800649 0.0031637698 0.0027230366 0.000782713 0.0012837957 0.0015690835 0.0011283503 0.0013551177 0.0015946863 0.0070755063 0.013360985 0.00088146655 0.0012161311 0.0008851241 0.0038184691 0.0018086523 0.003984887 0.002348139 0.0013350012 0.0008723227 0.0005596032 0.0010661721 0.0010186242 0.0013697478 0.0015599397 0.0051132375 0.017887186 0.0016861247 0.001313056 0.0016532069 0.0053729224 0.0012033298 0.0036648526 0.0020537074 0.0016404055 0.0017647619 0.0015471383 0.0023993445 0.0025639338 0.002783386 0.0022896184 0.0063568 0.056700975 0.010431297 0.0074613765 0.0065323617 0.019240476 0.018558346 0.008920734 0.01427354 0.031837035 0.0038385855 0.003218633 0.004824292 0.014476533 0.005424128 0.013357326 0.028095374 0.07225831 0.017195912 0.014396068 0.011570619 0.02746262 0.030796465 0.012885504 0.024960864 0.044951137 0.003922709 0.0043817298 0.0053235455 0.023254624 0.006364115 0.016667398 0.035668306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1217.0 11.36894 13836.0 0.012792715 0.0008673027 0.0005782018 0.0013732292 0.012214513 0.0029632843 0.0008673027 0.00043365135 0.0028187337 0.0008673027 0.0010841284 0.0021682568 0.0028187337 0.0017346054 0.011130384 0.0005782018 0.00484244 0.0033246602 0.004191963 0.0033246602 0.002601908 0.0010841284 0.0018068806 0.0010118531 0.0017346054 0.0028187337 0.0014455045 0.0020959815 0.0017346054 0.001300954 0.00050592655 0.0072997976 0.018357906 0.024139924 0.005782018 0.026091356 0.02254987 0.014021394 0.009395779 0.010552183 0.007010697 0.013370916 0.000650477 0.00093957793 0.011274935 0.00968488 0.009323504 0.010913559 0.019803412 0.006793871 0.014310494 0.028620988 0.012937265 0.009395779 0.01756288 0.0163342 0.0030355593 0.00318011 0.00050592655 0.002601908 0.008094825 0.0016623301 0.00318011 0.007372073 0.0013732292 0.028187338 0.0081671 0.018357906 0.019008383 0.0802255 0.00484244 0.010696733 0.008383926 0.038378146 0.0065047704 0.004191963 0.033029776 0.012792715 0.037872218 0.04416016 0.015105522 0.0007950275 0.039028622 0.02544088 0.062084418 0.014455045 0.0056374674 0.010335357 0.010118531 0.0068661463 0.0018791559 0.0008673027 0.0020959815 0.00043365135 0.001300954 0.0015177797 5.721427 0.0 0.0 0.0 1.0 274432.0 311296.0 0.0 0.0 359.0 0.0 1.0 0.0 0.0 0.0 1301376800.0 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 155648.0 4096.0 4096.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 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 -155648.0 0.0 57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.850176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1410303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6020036 0.0 4.11307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155648.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 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 -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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 -1.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 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 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 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 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 -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 -1.0 -1.0 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 -2.0 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 1.0 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 -2.0 0.0 0.0 -3.0 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 1.0 0.0 0.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 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 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 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 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 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 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 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 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 -2.0 0.0 -1.0 0.0 -1.0 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 -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 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 190376.0 77824.0 233472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1492.0 159744.0 0.0 0.0 0.0 0.0