Input: 0.056554392 0.008295153 0.0061635016 0.005640663 0.0057543237 0.004959733 0.004196141 0.005420575 0.0050423956 0.0056189643 0.0037476984 0.004470993 0.0049504335 0.003173196 0.0043201344 0.004634251 0.005040329 0.0037600978 0.004933901 0.0041641095 0.004359399 0.0031752626 0.0041052126 0.0038272608 0.0050764936 0.0033436867 0.003176296 0.0029345087 0.004140344 0.0034377151 0.0037900629 0.0037952291 0.0061635016 0.003816928 0.0034873125 0.0030202707 0.0048822374 0.0041641095 0.0038427599 0.0037218665 0.004724146 0.0038944238 0.0033302542 0.0031070663 0.004371798 0.0037177333 0.0037218665 0.0035813407 0.0055115037 0.0039491877 0.0030905337 0.002901444 0.0036743355 0.0030853674 0.0026865222 0.0028611461 0.004171342 0.0033095886 0.0035141776 0.0033529862 0.0040008514 0.0032424256 0.003507978 0.0034532142 0.0065974784 0.0039491877 0.0036247384 0.0032331261 0.004152743 0.0032227933 0.0035389762 0.0030740013 0.0049948646 0.003765264 0.0037084338 0.0035813407 0.004137244 0.0031266985 0.0035555088 0.003460447 0.0051612225 0.0036247384 0.003646437 0.003326121 0.003933688 0.0033860512 0.0033602193 0.003542076 0.0046373503 0.003649537 0.0038096951 0.0035028115 0.0041124453 0.0033901844 0.0036888015 0.0037910962 0.0059093153 0.003627838 0.0033436867 0.0029562076 0.0040080845 0.0030461028 0.003273424 0.0030264705 0.0049752323 0.00316183 0.0031948949 0.003057469 0.0035772074 0.0028518466 0.0030957002 0.0031897284 0.0045143906 0.0032868565 0.0032238266 0.0031380644 0.003887191 0.0033302542 0.0032899564 0.0036268048 0.0046228846 0.0032940893 0.0034811127 0.003165963 0.004032883 0.003195928 0.003466647 0.0033457533 0.008632002 0.0046001524 0.004015317 0.0035224438 0.004370765 0.0034387484 0.0030182044 0.003393284 0.004540222 0.0038437932 0.0029696403 0.0031835288 0.0037332324 0.002801216 0.0028435804 0.0029861727 0.005224252 0.0032207267 0.0034976453 0.0030295704 0.0036671027 0.0031876618 0.0033033888 0.003277557 0.0045443554 0.0028487467 0.0030440362 0.0027113208 0.0035172775 0.0032331261 0.0029779065 0.003154597 0.005014497 0.0034211825 0.0032723907 0.0027991494 0.003768364 0.0030151044 0.003057469 0.0031824955 0.004134144 0.0030006387 0.0031256652 0.0030120045 0.0036516036 0.0028425471 0.0029179764 0.0030450695 0.0046693822 0.003117399 0.0038396602 0.0028611461 0.0035699746 0.0031628632 0.002987206 0.0031184321 0.004259171 0.0031535637 0.0033385204 0.003170096 0.0036516036 0.0032000612 0.0033343872 0.003340587 0.0067070057 0.0040638815 0.0037259995 0.0033354205 0.0041207117 0.003262058 0.0033044221 0.0032351925 0.0043346 0.0033323208 0.0031256652 0.003076068 0.0036392042 0.0029892726 0.0030864007 0.002793983 0.0042571044 0.0032796236 0.0030998331 0.0030016718 0.0037094671 0.0030254372 0.0029365753 0.002950008 0.0039719194 0.0031122325 0.002734053 0.0026348582 0.003542076 0.002957241 0.0035927068 0.002886978 0.0049545667 0.0032599913 0.0033994839 0.0029717067 0.0038096951 0.0030740013 0.0032010945 0.0029045437 0.004443094 0.0054453737 0.003463547 0.0031297982 0.0037910962 0.0030833008 0.0032424256 0.003184562 0.004609452 0.0033240544 0.003414983 0.0030450695 0.0037414988 0.0030998331 0.003326121 0.003251725 0.004356299 0.0030450695 0.0031866285 0.0028621794 0.0040132506 0.0030998331 0.004225073 0.004505091 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09907713 0.06202258 0.062438447 0.0553263 0.060611013 0.059552208 0.0549694 0.054475944 0.060487907 0.05320507 0.05216385 0.052980583 0.056449242 0.05061263 0.056657694 0.05388525 4037.0 5.702997 23023.0 0.017156756 0.010598098 0.009425357 0.008686965 0.013464796 0.0124657955 0.011857707 0.011466794 0.012552665 0.00981627 0.008513226 0.0088607045 0.013812275 0.010511228 0.011683968 0.009859705 0.016635539 0.011901142 0.008686965 0.0074707903 0.009859705 0.008556661 0.007905139 0.008382921 0.010250619 0.008469791 0.009555662 0.0089041395 0.01142336 0.009034444 0.009642531 0.009251618 0.018242627 0.010815272 0.010380924 0.008991009 0.010815272 0.0088172695 0.010728402 0.008296052 0.014203188 0.011640534 0.009729401 0.0089475745 0.011510229 0.009295053 0.011640534 0.009555662 0.014724406 0.009555662 0.00990314 0.009077879 0.012161751 0.009381922 0.009555662 0.009772836 0.0136385355 0.009251618 0.010511228 0.009555662 0.011119315 0.009859705 0.010424358 0.010684967 0.017895149 0.010989011 0.009642531 0.008165747 0.013030448 0.008209182 0.009338488 0.008296052 0.015419363 0.009295053 0.0089041395 0.008686965 0.01133649 0.008165747 0.0100334445 0.007861704 0.013160752 0.007992008 0.00864353 0.008773834 0.011379925 0.009425357 0.008382921 0.008035443 0.011119315 0.0089475745 0.011901142 0.008469791 0.01124962 0.008991009 0.0100334445 0.008773834 6.554912 0.0 0.0 0.0 14.0 967794.0 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: 0.15481174 0.008695524 0.005599093 0.0049120877 0.007581594 0.0038361885 0.0035859223 0.0027651964 0.008950697 0.0020021298 0.0021640668 0.002155479 0.0066148797 0.0024584974 0.0015077313 0.0070356703 0.008566711 0.0031197402 0.0030866168 0.0011176104 0.0036975606 0.008479608 0.001425536 0.0011409195 0.002778691 0.0016991113 0.001323712 0.0013507014 0.0024560438 0.0014414843 0.001161775 0.0016843898 0.004832346 0.0012280219 0.0016905237 0.0010096524 0.0076392535 0.0019959956 0.0021468916 0.0027382069 0.0037723952 0.0021468916 0.0020021298 0.0035650667 0.0029492155 0.0021162217 0.0024830333 0.0021309431 0.0063805617 0.002593445 0.0019812742 0.0041968664 0.0021370773 0.0017113793 0.0012390631 0.0014660202 0.0024474564 0.0027799178 0.0013151244 0.003426439 0.0020646963 0.001820564 0.000976529 0.001886811 0.0117477905 0.0058481325 0.004204227 0.002462178 0.00699764 0.013239574 0.005643258 0.0016991113 0.0026020326 0.0021481183 0.0024180133 0.001342114 0.0022082312 0.007677284 0.0021493451 0.0014831953 0.009910052 0.005418754 0.0042815153 0.0047722333 0.0025750431 0.005400352 0.005314477 0.0035564792 0.0022180458 0.00321543 0.002090459 0.0019138005 0.0020205316 0.00365953 0.0030019677 0.003174946 0.0022891997 0.0028940097 0.001515092 0.0021211288 0.0031332348 0.008044096 0.0038889407 0.0016745754 0.005808875 0.0026523313 0.00661856 0.001515092 0.002946762 0.0019371096 0.0030117822 0.002592218 0.0035883759 0.0017420491 0.0040202076 0.0026670527 0.010005741 0.010570067 0.0025529608 0.0016549467 0.0028105876 0.0019812742 0.0007986437 0.0007409843 0.0020340264 0.003066988 0.0016144625 0.0015396279 0.0037331376 0.001957965 0.0010648582 0.009636476 0.003401903 0.007898107 0.0014512987 0.00094708585 0.0022180458 0.009984886 0.0011912182 0.027496161 0.0022548495 0.013873827 0.0013776909 0.0008636638 0.0023370448 0.0010685386 0.0013040833 0.0010317347 0.0019959956 0.0017015649 0.0007176752 0.00092991075 0.0017984817 0.0011495071 0.0015948337 0.0007679738 0.0018524607 0.001515092 0.00101824 0.0011519607 0.0018451 0.0017297812 0.0009949309 0.0010525902 0.0014905562 0.00171874 0.0010869405 0.00072135555 0.0019027593 0.0012991761 0.0008526226 0.0010341883 0.0019113469 0.0008783853 0.0010390955 0.00095321983 0.0020696034 0.0012255684 0.0015531227 0.00093481794 0.0016242769 0.0015249064 0.0016696682 0.0011065692 0.0029148653 0.0020193048 0.0013887321 0.0014856489 0.0018966254 0.0012415167 0.0013028565 0.0017346884 0.0070405775 0.003408037 0.003179853 0.0033994494 0.0038374153 0.00088083895 0.0025124764 0.005288714 0.0030510395 0.0025137032 0.0011188372 0.0014451647 0.004341628 0.00084894226 0.002007037 0.0023861167 0.0037429521 0.0015886998 0.0015702979 0.0020401604 0.0029737514 0.0020646963 0.0025431465 0.0025603215 0.0033785938 0.002468312 0.0016917505 0.0024118794 0.0033405633 0.0016696682 0.0014353504 0.0015997409 0.0036816122 0.0020021298 0.0017984817 0.0019653258 0.0029283601 0.0025014353 0.0025149302 0.0017469564 0.013608838 0.0036742515 0.0011752697 0.0040079397 0.0050593033 0.0008587566 0.0017567707 0.0012648258 0.0048237587 0.0019775939 0.0017641315 0.0012770938 0.002252396 0.0009937041 0.002527198 0.0023848899 0.0037993847 0.0015886998 0.0013163512 0.0018757698 0.0064001903 0.0036693444 0.008177817 0.07029536 0.008805032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011473073 1.0441234e-05 1.4126375e-05 3.0709512e-06 1.28979955e-05 9.827044e-06 1.7811517e-05 1.0441234e-05 1.2283805e-06 1.8425708e-06 8.598664e-06 4.913522e-06 3.6851416e-06 6.1419024e-07 3.6851416e-06 7.370283e-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 0.0029487275 5.7119694e-05 3.9308175e-05 2.0882468e-05 6.94035e-05 3.7465605e-05 4.667846e-05 3.6237227e-05 1.9039899e-05 7.370283e-06 1.2283805e-05 6.7560927e-06 7.370283e-06 1.0441234e-05 6.1419023e-06 0.0004483589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018364289 3.0709512e-06 4.606427e-05 2.9481133e-05 7.186026e-05 0.00010256977 0.00023462067 0.00011608196 4.299332e-06 0.0 5.5277123e-06 3.6851416e-06 6.1419024e-07 2.333923e-05 2.641018e-05 1.1669615e-05 0.018761056 0.00039615273 0.0008340704 0.00026471599 0.0018738945 0.000277614 0.0011890724 0.00057058275 0.00042747642 0.00043300414 0.00021496658 0.0003457891 0.000442217 0.00034394654 0.00023707743 0.0023191825 0.011802894 0.00021680916 0.0005220617 0.00037711282 0.001233294 0.00046494202 0.0011663473 0.00062033214 0.00039369595 0.00025366058 0.00018425708 0.00013635024 0.0002401484 0.00020084021 0.00019654087 0.00085863797 0.010807292 0.00031385123 0.0004471305 0.0005245185 0.0029548693 0.0013069968 0.0054355836 0.0030654236 0.0002898978 0.000151705 0.00016705974 0.00018855641 0.00023032134 0.000138807 0.00014187794 0.0002512038 0.010424651 0.0005490861 0.0011896865 0.0006363011 0.002305056 0.00092742726 0.0022909297 0.0013567463 0.00026655858 0.00027577142 0.00035070264 0.00028621266 0.00028559848 0.00036175805 0.00036974254 0.00076528103 0.019066922 0.0012990123 0.007851194 0.0034394653 0.007363527 0.004700398 0.0063458136 0.0041267443 0.0011116844 0.00080151827 0.0008660083 0.0008402123 0.0012713738 0.0054404973 0.0048213936 0.012415241 0.009746585 0.0008789062 0.0051149763 0.0029843505 0.0030985898 0.0031815055 0.004423398 0.0031679934 0.0022153843 0.0007517689 0.00072781544 0.0009870038 0.0011448506 0.0039037932 0.0038976513 0.011637063 0.076924875 0.019701995 0.011651803 0.0101353675 0.029013732 0.024584193 0.0122444965 0.015094954 0.048240345 0.005834807 0.00417158 0.006495062 0.019413326 0.009882935 0.017306654 0.049052306 0.0399672 0.0102913715 0.0060264347 0.009154506 0.016665438 0.015503391 0.008668067 0.012595814 0.026596894 0.0035647603 0.003486144 0.0045314957 0.01346305 0.0068740174 0.013212461 0.025751155 0.0121812355 0.010857041 0.010685682 0.010858269 0.009055621 0.011417182 0.010504496 0.010604609 0.009896448 0.009885392 0.010333751 0.011893794 0.010814662 0.009946197 0.010387186 0.011747617 2930.0 11.186348 32776.0 0.016963633 0.0021357092 0.003539175 0.0019526483 0.006102026 0.0057969247 0.0052172323 0.0022882598 0.0025018307 0.0014339761 0.0011288748 0.0018611179 0.0021662193 0.0026543813 0.0072003906 0.0016780571 0.04735172 0.0043019284 0.004454479 0.0036001953 0.003783256 0.0018611179 0.0027459117 0.0055223336 0.0025018307 0.006773249 0.0022577497 0.003081523 0.003996827 0.00231877 0.003295094 0.0050646816 0.013821089 0.019740054 0.0038442763 0.016048329 0.013607518 0.0099463025 0.008603857 0.009183549 0.004881621 0.010251404 0.0013424457 0.0018000976 0.0066817184 0.0057664146 0.0059494753 0.0049731513 0.015010984 0.00463754 0.0074444716 0.025201367 0.008481816 0.005918965 0.016811082 0.011197218 0.005156212 0.005827435 0.008146205 0.0024408104 0.0064681475 0.0028679522 0.0040273373 0.017787406 0.0034476446 0.033408593 0.011929461 0.024316574 0.018275568 0.10583964 0.0069563095 0.00927508 0.010831096 0.029350745 0.0052782525 0.0036307054 0.027459117 0.013424457 0.026726874 0.034354407 0.01623139 0.0016170369 0.03710032 0.021814743 0.048633147 0.014461801 0.012387113 0.005857945 0.008725897 0.0071698804 0.0021967294 0.000945814 0.0018611179 0.001891628 0.0016780571 0.0015255065 5.809389 2.0 0.0 0.0 8.0 815132.0 262144.0 0.0 0.0 119.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176128.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.004098 0.0 7.977518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173864.0 0.0 73728.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 0.0 0.0 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 -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 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 175236.0 1504.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 644.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.17861022 0.012307235 0.010524152 0.008059286 0.009155704 0.0033366282 0.003580331 0.0044096042 0.0128552 0.0021723248 0.0018343641 0.0021005326 0.004668447 0.0013479353 0.0012512356 0.0046396325 0.00602322 0.001973553 0.0010773715 0.0011433031 0.0030919488 0.0011779782 0.0009254846 0.0007359922 0.0034504214 0.00070668926 0.00083708734 0.0014133785 0.013315257 0.007504483 0.0072109657 0.0048887073 0.007290572 0.0008785999 0.0049170335 0.00066615356 0.0039681066 0.0012502589 0.000514755 0.00062805973 0.0015974987 0.00086004136 0.0005982684 0.001723013 0.0012717476 0.0008258546 0.0007555275 0.00062805973 0.004358324 0.0021195794 0.0021781854 0.009701227 0.0029263871 0.001766479 0.001666849 0.0016624535 0.0026372648 0.0016370576 0.0019510875 0.0035969361 0.0030401803 0.0019803904 0.0028492226 0.0017215478 0.00868881 0.0026568 0.0026431254 0.0044721174 0.0050142216 0.013765057 0.0027456856 0.0020316707 0.0032194166 0.002181604 0.0012893294 0.0014939617 0.0018055496 0.0040687136 0.0019965072 0.001899319 0.0073985043 0.002600636 0.003926106 0.0061853626 0.0059895213 0.008088101 0.0038870352 0.0026064967 0.0016639187 0.0038162197 0.0018739231 0.0032726503 0.0012570962 0.0034113508 0.0027671745 0.0020673226 0.0015261949 0.004300695 0.001554521 0.0024507027 0.005821029 0.006963844 0.0038504065 0.0025879382 0.0045136297 0.00415418 0.0032599522 0.0010988603 0.0038645696 0.0019471805 0.0044188835 0.0044696755 0.0026035663 0.00070375897 0.0046323068 0.0033420005 0.010099259 0.0057331207 0.0015681958 0.0013772383 0.0020248333 0.0014461002 0.00092597294 0.0012307236 0.0018285036 0.0024135855 0.0013381677 0.0010993487 0.0055910014 0.0016692909 0.00088153017 0.009434082 0.0028804792 0.0037341716 0.0012336539 0.00093769416 0.0025630307 0.009239706 0.002796966 0.039941862 0.0011672338 0.00584496 0.0012922598 0.008654135 0.0034660497 0.00041854367 0.00059973355 0.001035859 0.0008717625 0.000736969 0.00052501104 0.00044052087 0.0009914162 0.00075748103 0.0005601746 0.0006646884 0.00079557486 0.00036726354 0.000454684 0.0003741009 0.0012131418 0.0014299835 0.00040584573 0.0005508953 0.00073257356 0.0008053425 0.00035896103 0.00039949678 0.0009743228 0.00034968177 0.00048056824 0.00039705486 0.00069741 0.00044735824 0.00036726354 0.0005894775 0.0015589165 0.0005245227 0.0010685805 0.00063538546 0.00086004136 0.0004263578 0.0007613881 0.0011511173 0.002184046 0.0013762615 0.0014592865 0.0008009471 0.001133047 0.00042782296 0.0007838537 0.0006388041 0.008185777 0.0018255733 0.0015310787 0.0071972907 0.003881663 0.00048398692 0.003120275 0.002214814 0.0014167973 0.0013459817 0.00079899357 0.0007999703 0.0013284 0.00035651913 0.0006285481 0.00056603516 0.0020204377 0.0006388041 0.0019505991 0.0012580729 0.0012790734 0.0003960781 0.001072976 0.00072915485 0.003133461 0.00080192386 0.000836599 0.0014964036 0.0013254697 0.00077945826 0.0005367322 0.00056798867 0.0019686692 0.00062903645 0.00077701634 0.00057189574 0.0014221694 0.0008551575 0.0006031522 0.0005064525 0.015644353 0.002997691 0.00079557486 0.0040594344 0.0035720286 0.0006593162 0.0011813969 0.0011730944 0.004301672 0.0019037145 0.0039300127 0.005249622 0.0076646726 0.0065301606 0.012928458 0.0022885597 0.0052188537 0.0017513392 0.0016854075 0.0020756251 0.0071880114 0.0023046765 0.008434852 0.08728369 0.018422963 3.177005e-05 1.6862567e-05 1.7106951e-05 1.1486096e-05 0.0 0.0 0.0 1.0264171e-05 0.0 0.0 0.0 8.064705e-06 0.0 0.0 0.0 0.000482416 9.7754e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.270802e-05 4.3989303e-06 0.015442933 0.00031330157 0.00018133367 0.00017351336 0.00014003261 4.447807e-05 5.6941706e-05 4.8877002e-05 0.00016202727 6.598395e-05 6.451764e-05 5.5231012e-05 0.000109973254 5.718609e-05 6.256256e-05 3.812406e-05 0.0038363559 0.00013123474 3.5435827e-05 3.0548126e-05 6.231818e-05 6.134064e-05 5.7430476e-05 4.1301068e-05 1.2952405e-05 3.177005e-06 2.9326202e-06 4.3989303e-06 1.95508e-05 1.95508e-05 3.323636e-05 0.00015274063 0.011102655 0.0005286048 0.00063295715 0.00010532994 0.0004042128 0.00011632727 0.0001270802 0.00010141978 0.00011266149 3.1036896e-05 4.1789837e-05 5.669732e-05 8.675668e-05 7.404866e-05 6.0851868e-05 0.00043158393 0.009031003 0.0059561515 0.00034165024 0.00011486095 0.00018671015 0.0002573374 0.0015809266 0.0009699641 0.003169918 0.00015102993 0.00013441176 0.00014711978 0.0001026417 0.00011583849 0.00018231121 0.030611178 0.010559876 0.011677205 0.0011048646 0.00045577803 0.0009257304 0.00094796944 0.00084190635 0.0016222277 0.00864683 0.00025147217 0.00013661123 0.000107040636 0.00011999304 9.237754e-05 0.00017546843 0.030402716 0.02979762 0.0026992324 0.005109357 0.0017153384 0.0022766907 0.0009863379 0.008691064 0.00411691 0.0008634122 0.0004594438 0.0001371 0.00016104973 0.00025660425 0.00017009197 0.00016715935 0.005455651 0.015625734 0.010043002 0.0029069597 0.0015926571 0.0033148383 0.0031562324 0.008135333 0.005157257 0.001533516 0.00040005826 0.0002509834 0.00027126737 0.00029717217 0.00026491334 0.000323077 0.019800074 0.0064950204 0.0013822416 0.0012111721 0.0012062844 0.0013013502 0.00084679405 0.003101979 0.0015542887 0.00055231014 0.00021505881 0.00011363903 0.00014565347 0.00015347378 0.00010239732 9.7754004e-05 0.0025416042 0.010766381 0.001600233 0.0010347262 0.0014465149 0.0025071457 0.0013832191 0.0038126505 0.0018174914 0.00087783096 0.00045724434 0.00023069944 0.0006693705 0.0005892123 0.00015102993 0.00020455025 0.0024817297 0.013819972 0.0023255676 0.0020650534 0.02042521 0.0045184344 0.0031088218 0.0049888757 0.0032134184 0.0025628656 0.0017493078 0.0018311769 0.0019147566 0.0023204356 0.001717049 0.002021064 0.0039905626 0.011717528 0.0013033053 0.0010794486 0.0013292101 0.004319505 0.0021906672 0.0039385087 0.0021965324 0.00236247 0.00091717695 0.0006850112 0.0010112652 0.001475108 0.0009589668 0.0015833705 0.0034724667 0.05585444 0.008738475 0.0053935773 0.0075639603 0.0189611 0.021490728 0.008598442 0.010012942 0.0371954 0.004121553 0.002561155 0.005244258 0.013543817 0.006272386 0.013927991 0.025765022 0.047553167 0.008681289 0.0071318876 0.009518063 0.020957725 0.026150174 0.012677717 0.01139494 0.039747268 0.004179228 0.0039409525 0.005929025 0.016532646 0.008751916 0.018516809 0.035614472 0.0002556267 6.6228335e-05 0.00010679625 9.139999e-05 8.846737e-05 8.993368e-05 0.00015591763 0.00010093101 9.506577e-05 4.7410693e-05 5.303155e-05 6.598395e-05 7.33155e-05 7.478181e-05 5.6941706e-05 7.966952e-05 11012.0 13.530058 148993.0 0.026296537 0.0016376608 0.051975597 0.0011745518 0.004610955 0.0040337467 0.0010268938 0.0016443726 0.004463297 0.003167934 0.0014295974 0.0058861827 0.003490097 0.0019933823 0.003026988 0.0016376608 0.0128798 0.008651413 0.009329298 0.030746412 0.01346372 0.007852718 0.008054069 0.0074030324 0.010570967 0.006933212 0.008544026 0.009389703 0.009255468 0.008033934 0.007879565 0.0074902847 0.0044230265 0.0072285277 0.0077520423 0.01365836 0.015806112 0.008456773 0.0059465882 0.0043089273 0.0065976256 0.0080876285 0.0015168497 0.0017651836 0.007215104 0.0063291565 0.0039666295 0.008255421 0.0097320005 0.0036041962 0.0051881634 0.013859712 0.017678684 0.0045773964 0.005476767 0.0045237024 0.0037115838 0.005852624 0.0022014456 0.005027082 0.0047854595 0.0045237024 0.004946541 0.0057989303 0.0033558623 0.03447813 0.007731907 0.017973999 0.021316437 0.061472688 0.0078124474 0.011631419 0.013410026 0.03307538 0.0022282926 0.0042955037 0.028115414 0.011993852 0.03641782 0.03666615 0.015108093 0.0007651366 0.036981605 0.022504414 0.049606357 0.014530884 0.006315733 0.005557308 0.0068392474 0.0054969024 0.0020202291 0.00069130765 0.0028256362 0.00069130765 0.00061076693 0.0007047311 5.9205847 10.0 24.0 0.0 1.0 2047576.0 2072576.0 0.0 0.0 23.0 1.0 1.0 1.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1210368.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -79360.0 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 -116736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1210368.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 618496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6246624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.9657707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.935612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6253314 0.0 0.0 0.0 0.0 0.0 0.0 -5.063517 5.0607305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -79232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 11173.0 0.0 0.0 0.0 0.0 0.0 -116432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1210152.0 0.0 0.0 0.0 0.0 0.0 0.0 -12738.0 618496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12738.0 1347584.0 618496.0 1454080.0 0.0 0.0 8280.0 2039296.0 79232.0 1372160.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1368064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.061497327 0.008137642 0.0036588798 0.0053904234 0.005714705 0.00440534 0.0026554412 0.0043502734 0.0051150895 0.003848554 0.0026921523 0.0039525693 0.0040137544 0.004564422 0.0023801075 0.005677994 0.0040871766 0.003683354 0.0022516183 0.0037812504 0.0032795311 0.005830957 0.0023189222 0.003720065 0.003267294 0.0038669098 0.0019824032 0.0037996059 0.002918538 0.0036588798 0.0018906252 0.0036405243 0.004735741 0.0035976944 0.0021292479 0.0038057244 0.011325396 0.0038852654 0.0019640476 0.0037323022 0.0026921523 0.0036099316 0.0018294399 0.0039586877 0.0024657669 0.0036588798 0.0020802997 0.0035854576 0.002710508 0.003848554 0.0021843147 0.0046867924 0.0025636633 0.0038424358 0.0020129958 0.0036466427 0.0025208336 0.0038179616 0.0020191143 0.0050110747 0.002502478 0.004185073 0.0021047737 0.0037690133 0.009385822 0.00461337 0.0023617519 0.00398928 0.0053965417 0.004527711 0.0035732205 0.0046439627 0.0027043894 0.004136125 0.00220267 0.0039036209 0.0056229276 0.0042584958 0.0024718854 0.003995399 0.0056841127 0.0048397556 0.0034141387 0.005108971 0.0032489384 0.0045705405 0.004533829 0.0050110747 0.002269974 0.0040810583 0.0020191143 0.0044787624 0.002514715 0.0044909995 0.0032244644 0.0048275185 0.0023311593 0.0048519927 0.002190433 0.004068821 0.0029919602 0.0068649887 0.0024168186 0.004068821 0.00398928 0.0050906152 0.005910498 0.0035915761 0.003603813 0.0040810583 0.003291768 0.0050110747 0.00261873 0.0034814426 0.0037690133 0.004925415 0.0069751223 0.006926174 0.0022087886 0.0040749395 0.0024107 0.0038363172 0.0022271443 0.0035548648 0.0026982708 0.003983162 0.0021720775 0.003720065 0.0035181537 0.003983162 0.0020129958 0.007905139 0.0038057244 0.0057391794 0.0019089808 0.003603813 0.00282676 0.0064917584 0.0031816347 0.014347948 0.0028206415 0.008871865 0.00199464 0.0038363172 0.007874546 0.0034202572 0.0018049658 0.0035854576 0.002190433 0.003695591 0.0019395734 0.0035059166 0.0019885215 0.0038852654 0.001945692 0.0035854576 0.0023801075 0.0035303908 0.0015785802 0.003603813 0.0023678704 0.0038730283 0.0017682547 0.0035854576 0.0020925365 0.0036894726 0.0020007587 0.003603813 0.001957929 0.0036160501 0.0018967437 0.0039464505 0.0021170108 0.0034202572 0.0019334549 0.0035242722 0.0028695897 0.00444817 0.0025636633 0.0036772355 0.0020068772 0.0035303908 0.0021170108 0.0035732205 0.002398463 0.0038179616 0.0020497069 0.0037690133 0.0022577369 0.0037017094 0.0022516183 0.0040871766 0.0049192966 0.004760215 0.003126568 0.005133445 0.0035487462 0.0036282872 0.0027839304 0.004380866 0.0026248486 0.004111651 0.0020802997 0.0041177697 0.0026248486 0.0039342134 0.0020068772 0.0038301987 0.0025759004 0.0043747476 0.0023372776 0.0042279027 0.00220267 0.003940332 0.0020497069 0.0041605993 0.0024963594 0.0039036209 0.0019518104 0.0040994138 0.0026615597 0.0038791469 0.0020191143 0.0039342134 0.0026676783 0.0043013254 0.0020925365 0.0037996059 0.0021414848 0.0035181537 0.0017621361 0.0035303908 0.007782768 0.0041300063 0.0018783881 0.004937652 0.002582019 0.003695591 0.0019762847 0.0035609833 0.00282676 0.0037261837 0.0020680625 0.003928095 0.0023311593 0.0035487462 0.0022883294 0.0043686293 0.0035487462 0.0040932954 0.002269974 0.0036466427 0.0029001823 0.003811843 0.0026309672 0.018796118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004743745 0.00016070016 0.00021014636 1.2361551e-05 0.00015451938 6.798853e-05 0.00028122528 0.00016997132 0.00015451938 3.0903877e-05 4.9446204e-05 6.4898144e-05 4.9446204e-05 5.5626977e-05 3.708465e-05 8.6530854e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009379326 6.4898144e-05 0.00096420094 0.00043265428 0.0018356902 0.0009951048 0.0059984424 0.0033468897 0.00041102155 0.00038320807 8.3440464e-05 8.035008e-05 0.0002503214 8.035008e-05 0.000111253954 0.00089930283 0.004678847 0.00015451938 0.0003770273 0.00039866002 0.0013628609 0.0008807605 0.0029142355 0.0014401206 9.580202e-05 4.3265427e-05 2.7813488e-05 7.725969e-05 5.253659e-05 0.000117434734 1.8542325e-05 1.8542325e-05 0.0068359375 0.000111253954 0.0012052512 0.00063352945 0.00085603737 0.00043574467 0.0035570362 0.0021107348 0.00030903876 0.0004511966 0.00012052512 0.0009302067 0.0008158623 0.00010198279 0.00012052512 0.00039247924 0.0054112687 0.0004481062 0.0005068236 0.00038629846 0.000701518 0.00051918515 0.00046973894 0.00040793116 0.0006489814 0.00048519086 0.00021323675 0.00030594837 0.0004511966 0.00031830993 0.00039866002 0.0009858337 0.014543365 0.0020860117 0.0021570907 0.0019191307 0.005040422 0.0035137709 0.0020983731 0.003158376 0.008152443 0.00078186806 0.00048519086 0.001458663 0.0031274722 0.0016039112 0.0022281695 0.004607768 0.038367163 0.008943582 0.012132862 0.0057573924 0.015992757 0.016144184 0.0070553552 0.0070182704 0.025934534 0.0065423506 0.0022621637 0.0045181466 0.011369537 0.006406374 0.009428773 0.01832909 0.042461928 0.04209108 0.04163061 0.041967463 0.041899476 0.041948922 0.04201073 0.0420849 0.04145137 0.041877843 0.042134345 0.04177277 0.04160589 0.04215289 0.042109624 0.04168624 676.0 9.991124 6754.0 0.045454547 0.0031092686 0.008439443 0.002961208 0.01450992 0.0032573289 0.0023689666 0.002220906 0.005774356 0.002961208 0.0017767249 0.0035534499 0.0016286644 0.004441812 0.0074030203 0.003997631 0.0065146578 0.004441812 0.005922416 0.004589873 0.0038495706 0.0028131478 0.005774356 0.0017767249 0.002961208 0.002220906 0.0031092686 0.0031092686 0.004589873 0.0068107788 0.0041456916 0.002220906 0.0026650873 0.017323067 0.0063665975 0.013325437 0.013769618 0.011844832 0.008143323 0.01095647 0.005922416 0.007847202 0.002220906 0.005478235 0.011548712 0.007847202 0.0041456916 0.0066627185 0.014361859 0.0066627185 0.016730826 0.01747113 0.01095647 0.0074030203 0.009031685 0.012733195 0.0031092686 0.0032573289 0.0020728458 0.0038495706 0.0026650873 0.006070477 0.0035534499 0.005478235 0.002220906 0.030796565 0.00725496 0.017026948 0.017619189 0.07995262 0.0068107788 0.01450992 0.008883624 0.038791828 0.006218537 0.0035534499 0.03212911 0.015990524 0.03538644 0.038791828 0.011252591 0.0019247853 0.038051523 0.029464021 0.052117262 0.017026948 0.006070477 0.011992893 0.009475866 0.009920048 0.0032573289 0.0025170268 0.0023689666 0.0028131478 0.002220906 0.0034053894 5.8917446 2.0 1.0 4.0 2.0 163438.0 65536.0 0.0 0.0 171.0 0.0 1.0 0.0 0.0 0.0 1208756600.0 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 40448.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4512677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1778135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5589075 0.0 4.337438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5494.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40416.0 0.0 3448.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 200.0 46696.0 3448.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.0057471497 0.0031754337 0.003456673 0.0034837152 0.0030902508 0.0030273777 0.0032018 0.0031957154 0.003166645 0.0025331809 0.002535209 0.0033545885 0.0029543636 0.0025189836 0.0029138003 0.0037412925 0.0032964477 0.0027562792 0.0044977986 0.0031700253 0.0031646169 0.0027265328 0.0028434903 0.0028617438 0.004090813 0.0031470393 0.0036817994 0.0034593772 0.0029219128 0.002656899 0.0032369548 0.003107828 0.0030895746 0.0026312089 0.002742082 0.0028941946 0.003008448 0.0024351527 0.002680561 0.002644054 0.0031091804 0.0025088429 0.002727209 0.00334918 0.0029002791 0.0026521666 0.0027150398 0.0027069272 0.003020617 0.002863096 0.006029741 0.002935434 0.011849904 0.0026893497 0.004698587 0.013746917 0.0029138003 0.002548054 0.0028475467 0.002875941 0.0031619126 0.0029327297 0.002717068 0.0027988707 0.0033647295 0.008654189 0.008884048 0.00880495 0.00902602 0.007957176 0.008842809 0.008769795 0.008281683 0.008013965 0.008304669 0.008358077 0.00866095 0.007978134 0.00884957 0.008560218 0.008667034 0.008514922 0.010310526 0.008678528 0.00892664 0.008220837 0.008861738 0.008820499 0.0084013445 0.007997063 0.0026758285 0.0026143075 0.0027731806 0.0023012937 0.0033079407 0.0027231525 0.0028434903 0.0025433216 0.0027988707 0.0027076032 0.002838758 0.002341857 0.0027698004 0.0025372372 0.0029300256 0.0024838287 0.0024784203 0.0025737442 0.0029793775 0.0030118283 0.0025778005 0.0027745327 0.0031700253 0.002498702 0.0025805046 0.0024966737 0.002896899 0.0023486177 0.002706251 0.0025074908 0.0030273777 0.0026055188 0.0026028145 0.002802251 0.0032497998 0.0029144762 0.0028123918 0.0027434342 0.003434363 0.0032687294 0.0039704754 0.003614194 0.0031950395 0.0025710398 0.0032626449 0.0032396591 0.002886758 0.002607547 0.00298411 0.0027894059 0.0030003353 0.0029732932 0.0037953767 0.002949631 0.0032579126 0.0030354902 0.006940388 0.0033681097 0.0032166732 0.002851603 0.0031071522 0.003057124 0.0031720535 0.0036561093 0.0031456873 0.0029699127 0.0030172367 0.0026744765 0.002900955 0.0028887861 0.003410025 0.024742963 0.0029996592 0.0029279974 0.0030517157 0.0025825328 0.0027941384 0.0026014624 0.0031619126 0.0024297442 0.0027583074 0.0026623073 0.0028570115 0.0025764485 0.0030354902 0.0027833215 0.002850927 0.002802927 0.0029590959 0.002646082 0.0029814057 0.0024588148 0.0027501946 0.002585913 0.00281442 0.002607547 0.002801575 0.0029394904 0.0032058563 0.0028543072 0.0035790391 0.0027894059 0.0038771797 0.0032450675 0.0033072645 0.0034891237 0.003129462 0.0025561666 0.0031936872 0.002983434 0.0056227553 0.0026041667 0.0027711524 0.002705575 0.04675331 0.0026602794 0.002898927 0.0036101376 0.0031348704 0.002885406 0.00523808 0.0031105324 0.0032923913 0.002778589 0.0029246171 0.0030138565 0.0030388704 0.0029171805 0.0027569553 0.0030368424 0.002934082 0.002535885 0.0028583636 0.0029942507 0.0030760535 0.0028847298 0.0028428144 0.0029820818 0.0030354902 0.0027637158 0.003737912 0.002633237 0.0031990956 0.0026629835 0.0029442227 0.0033288985 0.0032552083 0.00298411 0.00359256 0.0028056314 0.0034465322 0.0031227013 0.0029536874 0.0027995468 0.0030605043 0.002439209 0.0027718286 0.0027305891 0.0030557718 0.0030354902 0.0029307015 0.0029746452 0.0036594896 0.0033518842 0.003106476 0.0027704763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.745322e-05 8.730184e-05 8.560995e-05 0.00010117539 0.08260345 0.055465095 9.9145116e-05 9.9145116e-05 7.8842364e-05 8.459481e-05 8.2902916e-05 0.00010016026 0.010460994 7.5796954e-05 8.865536e-05 7.782723e-05 0.0003160462 0.00027442558 0.00029946564 0.0002869456 0.000289991 0.00028660722 0.00030115753 0.00028288504 0.0002950667 0.0003014959 0.00028762236 0.00031367756 0.028832957 0.00030860188 0.00030894025 0.00027814775 1.2520032e-05 1.4888687e-05 1.4550307e-05 2.0302754e-05 0.0003962421 0.0002771326 1.5227066e-05 4.534282e-05 1.6580583e-05 2.0302754e-05 1.8949238e-05 1.9625997e-05 0.00115455 1.861086e-05 2.0302754e-05 1.3873549e-05 0.00034514684 6.767585e-07 0.0 1.353517e-06 1.353517e-06 0.0 6.767585e-07 1.353517e-06 6.767585e-07 0.00034311655 1.353517e-06 0.0 0.0 2.707034e-06 0.0006862331 1.353517e-06 0.0008225999 2.1656271e-05 2.4363306e-05 8.797861e-06 1.3873549e-05 1.3196791e-05 3.0115752e-05 1.2520032e-05 1.3873549e-05 0.00017697235 1.4550307e-05 7.782723e-06 0.00053599273 1.1843274e-05 0.00035292955 1.79341e-05 0.00025344605 1.827248e-05 1.4888687e-05 1.827248e-05 0.00023449682 0.00015396255 3.8236856e-05 2.3348168e-05 1.5565445e-05 1.7595721e-05 1.28584115e-05 1.6242204e-05 0.000521104 1.6918963e-05 1.1166515e-05 1.9625997e-05 9.5084564e-05 9.5084564e-05 9.812998e-05 0.0021747635 9.94835e-05 9.880674e-05 9.745322e-05 0.00023788061 0.000100837016 9.576132e-05 0.0021805158 9.9145116e-05 0.00046222605 9.812998e-05 0.00010320567 0.00010049863 0.0015024039 0.0014966514 0.0018492426 0.013468848 0.001159964 0.0015277823 0.0015247369 0.0017764911 0.0015030806 0.0018441669 0.01345159 0.0018627777 0.0032687434 0.001501727 0.0015040957 0.0013467494 0.0017907029 0.0015501153 0.0009505073 0.009257379 0.00211284 0.0016776843 0.0013257699 0.0013995365 0.0013670522 0.0011538733 0.009255349 0.0009745322 0.0011156363 0.0013663754 0.0014817627 0.0013359212 0.0009674263 0.0019338374 0.0002740872 0.00025818337 0.0004304184 0.0009907745 0.00023652709 0.00045038277 0.0002771326 0.0007488333 0.00020235078 0.0003065716 0.0007630452 0.0010438999 0.00037255554 0.00044598384 0.0019856093 0.004206731 0.0007336062 0.000776242 0.0011244342 0.00181845 0.000727177 0.000867266 0.00074917165 0.0018901865 0.0009244521 0.0008429027 0.00083139783 0.0018708989 0.0010188599 0.0011156363 0.0030721452 0.004427354 0.0018614242 0.0042280485 0.002513481 0.0030701149 0.0017267492 0.0018465355 0.0026708273 0.0035648253 0.0018976307 0.0018732675 0.004418556 0.0031428665 0.0021981115 0.002533107 0.040271528 0.03753641 0.03862599 0.04010031 0.040454593 0.03851365 0.037095502 0.03696015 0.04350474 0.043057404 0.039098367 0.039226275 0.0430997 0.0400103 0.040508393 0.040883318 3875.0 59.239483 229553.0 0.00089304 0.00091046514 0.0009061088 0.0010760042 0.0011152108 0.0010019472 0.0010803605 0.00095838436 0.0010455102 0.00091046514 0.00094095914 0.001132636 0.0013373818 0.0010803605 0.0009366029 0.0009714532 0.0010193725 0.000923534 0.0012284744 0.00090175256 0.000997591 0.0007928452 0.0009801658 0.00089739624 0.0011413486 0.0010019472 0.0013025315 0.0010890731 0.0010847169 0.000984522 0.00091046514 0.0010106598 0.0010760042 0.037372634 0.036897797 0.037686285 0.03725501 0.036348905 0.036932647 0.03715046 0.036893442 0.036958784 0.037268084 0.036937002 0.03725937 0.03640118 0.036113665 0.03718531 0.03718967 0.037546884 0.037451047 0.036771465 0.03752946 0.0372463 0.037747275 0.03792588 0.036945716 0.036902152 0.0009888784 0.000984522 0.0009061088 0.0009366029 0.0009801658 0.00094095914 0.00093224656 0.000984522 0.0009932347 0.0009148214 0.00088868366 0.00090175256 0.0010150161 0.0009061088 0.0009278903 0.0008146267 0.0008712585 0.00088868366 0.0010629353 0.001102142 0.001071648 0.00093224656 0.0012851063 0.0010977857 0.0012328308 0.0011849116 0.0009758095 0.0008799711 0.0008625459 0.0009148214 0.0013025315 0.0011108546 0.00090175256 0.00094531546 0.0017207356 0.001071648 0.0009496717 0.0010629353 5.124995 0.0 0.0 0.0 10.0 1479168.0 1490944.0 0.0 0.0 4.0 0.0 1.0 0.0 0.0 0.0 1543623600.0 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 5.0 12.0 4.0 0.0 4.0 0.0 600064.0 1536.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -872448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -600064.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.014877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7479596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.290899 0.0 5.9640436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -872448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -602112.0 0.0 4608.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 606232.0 4444.0 1482752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 606232.0 0.0 0.0 0.0 0.0


Input: 0.125 0.021311654 0.006581806 0.0085192295 0.012131527 0.004436156 0.0067809806 0.005422974 0.020967625 0.006627073 0.003612298 0.0040740203 0.007125009 0.0030419352 0.002534946 0.012040994 0.016169334 0.0028156007 0.0018106757 0.0030238284 0.008383429 0.0025892663 0.0054139206 0.0018740494 0.005441081 0.0018740494 0.0016658216 0.0027431739 0.0070344754 0.002534946 0.0013580068 0.0012946331 0.009180126 0.0008962845 0.0012493662 0.001720142 0.025530528 0.0011678858 0.0009687115 0.0008962845 0.002607373 0.0011678858 0.0017020352 0.004110234 0.003223003 0.001602448 0.0018921562 0.001864996 0.008229521 0.0034946043 0.0021547042 0.0073785037 0.002462519 0.0015662345 0.0020460635 0.0012855798 0.0028970812 0.0028065473 0.0017291954 0.0054591876 0.0018740494 0.0011497791 0.001412327 0.0013670602 0.0038567393 0.0025439993 0.001195046 0.0018468893 0.010818788 0.0023538785 0.0061381906 0.004182661 0.0037571522 0.001937423 0.001195046 0.0013127399 0.007269863 0.0011497791 0.0048345043 0.0027341205 0.007659158 0.0046081697 0.0037118853 0.0038205257 0.005857536 0.004209821 0.005649308 0.0034583907 0.0022542912 0.0014304338 0.0013036865 0.0028337075 0.0036394582 0.003467444 0.004436156 0.0046262764 0.0019645833 0.0038476859 0.0019464764 0.003132469 0.0032773232 0.007025422 0.0045991163 0.0026435866 0.00332259 0.004780184 0.0036394582 0.0013036865 0.0053414935 0.0023357717 0.00597523 0.004472369 0.003204896 0.001004925 0.005260013 0.0043637287 0.013507641 0.007894546 0.0020189034 0.0027612804 0.0017473021 0.0018468893 0.0017291954 0.0007604838 0.0035579777 0.0011135656 0.0032863764 0.0013670602 0.0028427609 0.002797494 0.0022361844 0.018740494 0.00332259 0.008084667 0.00265264 0.001720142 0.005142319 0.014041791 0.0017835156 0.0387213 0.0010864055 0.0063645253 0.0014394872 0.0011226189 0.00195553 0.000932498 0.0005794162 0.00075143046 0.0009958716 0.0008057507 0.0013036865 0.0010411385 0.0017291954 0.001004925 0.0008057507 0.0005884696 0.0010501919 0.00075143046 0.0009596581 0.001004925 0.0019645833 0.00087817776 0.00066089665 0.00090533786 0.0013036865 0.00087817776 0.0007333237 0.00092344463 0.0012584196 0.000860071 0.0006880568 0.0006156298 0.0021003839 0.0005160426 0.00082385744 0.0008691244 0.0012312595 0.0011316723 0.00078764395 0.00075143046 0.001004925 0.0008872311 0.0034855509 0.0018016223 0.0038205257 0.0013942203 0.0012493662 0.0010864055 0.0021999711 0.00077859056 0.001195046 0.0008148041 0.007125009 0.0061291372 0.0024263056 0.0061381906 0.006980155 0.001267473 0.002797494 0.0055587743 0.002697907 0.0027522272 0.002344825 0.0013036865 0.015761932 0.001004925 0.0015209676 0.0014394872 0.0024444123 0.0022995581 0.0023267183 0.003177736 0.0008691244 0.00077859056 0.0010954589 0.0012403129 0.002055117 0.0012222062 0.0012493662 0.0018106757 0.000860071 0.0007061635 0.0009868182 0.00090533786 0.0018287825 0.0012222062 0.0017382487 0.00090533786 0.0011678858 0.0013851669 0.00092344463 0.0008510176 0.0070344754 0.0029514015 0.0014666474 0.004282248 0.0015571811 0.0013217933 0.0011859926 0.0012765264 0.0018921562 0.0016477149 0.00090533786 0.0015390744 0.0009958716 0.0008419642 0.001937423 0.0024806259 0.0033859636 0.002055117 0.0013670602 0.0012946331 0.0011678858 0.0017744622 0.0022542912 0.025675382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0072735483 0.0010134139 8.752211e-05 9.212854e-05 8.752211e-05 9.212854e-05 8.752211e-05 9.212854e-05 7.370283e-05 7.8309255e-05 7.370283e-05 7.8309255e-05 7.370283e-05 7.8309255e-05 7.370283e-05 7.8309255e-05 0.026500775 0.005094708 0.00067714474 0.0006863576 0.0006679319 0.0005343455 0.00070017687 0.0005343455 0.00052052626 0.00024414062 0.0002763856 0.00024414062 0.00029481133 0.00024414062 0.00028099204 0.00023492778 0.012593972 0.0023170328 0.0004468234 0.0003915463 0.00028559848 0.0002211085 0.0008567954 0.000377727 0.00024414062 0.00012437353 0.0001381928 0.00012437353 0.00033626915 0.00012897995 0.00012897995 0.00015201209 0.0065227007 5.5277123e-05 0.00037312057 0.00067714474 0.0011423939 0.00050670694 0.006237102 0.0032613503 1.8425708e-05 4.606427e-06 0.0 1.3819281e-05 0.0 4.606427e-06 9.212854e-06 4.1457843e-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 0.020507812 0.0011562131 0.0011193617 0.0024736512 0.0014602373 0.0018287515 0.008231685 0.0043070093 0.0010732975 0.00045603627 0.0005527712 0.00059883547 0.0010963297 0.00045142983 0.0006541126 0.0012022774 0.009871573 0.0010871168 0.0014832695 0.0019945828 0.0018471772 0.00096274324 0.0049749413 0.0023354585 0.0004836748 0.0004283977 0.00037312057 0.00057580334 0.000377727 0.0005804098 0.00038233344 0.0005435584 0.009429356 0.0011976709 0.0013635023 0.0040398366 0.0020682856 0.0014279924 0.0020544664 0.0010502653 0.0011700324 0.000442217 0.00046985556 0.000442217 0.0009581368 0.00055737764 0.00057119696 0.0010594781 0.07447671 0.023423681 0.021138893 0.009894605 0.021636387 0.024621353 0.0068359375 0.015320976 0.055097472 0.0040812944 0.002782282 0.008015183 0.03270563 0.007402528 0.011700325 0.020489387 0.072339326 0.025353774 0.0268785 0.020424897 0.022861697 0.027758328 0.019747753 0.022078604 0.04942696 0.0053480617 0.0060159937 0.007540721 0.027366782 0.008821308 0.012658461 0.022737322 0.009337227 0.005610628 0.0060252063 0.0062186765 0.005168411 0.0053250296 0.009328014 0.0062324954 0.0051591983 0.0047906837 0.0049473024 0.005859375 0.0047446196 0.0057580336 0.0047630453 0.005071676 669.0 14.768311 9880.0 0.047165994 0.0013157895 0.0034412956 0.0010121458 0.011842106 0.001417004 0.0013157895 0.0010121458 0.0050607286 0.0020242915 0.0008097166 0.0022267206 0.0039473684 0.00708502 0.011639676 0.012550607 0.029149797 0.017105263 0.012246964 0.009311741 0.0065789474 0.004352227 0.009311741 0.0029352226 0.007388664 0.009615385 0.005668016 0.0048582996 0.0048582996 0.0019230769 0.002631579 0.0015182187 0.0023279353 0.010020243 0.001417004 0.009311741 0.013765182 0.0029352226 0.00597166 0.013866397 0.002125506 0.009210526 0.00091093115 0.0008097166 0.00597166 0.001417004 0.008704454 0.0041497974 0.01194332 0.0050607286 0.005465587 0.011437247 0.0076923077 0.0013157895 0.005769231 0.0029352226 0.0051619434 0.000708502 0.0046558706 0.002125506 0.0018218623 0.002834008 0.0037449393 0.010728745 0.0011133603 0.032591093 0.009716599 0.026518218 0.020850202 0.06346154 0.01174089 0.018319838 0.013056681 0.044331983 0.0017206478 0.0050607286 0.03633603 0.019635627 0.048279352 0.03785425 0.018522266 0.000708502 0.035931174 0.03117409 0.048987854 0.014777328 0.0046558706 0.00840081 0.0036437246 0.0098178135 0.009716599 0.00030364373 0.0010121458 0.00030364373 0.0010121458 0.0008097166 5.766838 0.0 32.0 0.0 2.0 110456.0 110592.0 0.0 121.0 63.0 1.0 1.0 1.0 0.0 0.0 1425375200.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 9.0 0.0 5.0 0.0 5.0 0.0 69120.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69120.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5671773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.6527452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7697011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6186676 0.0 5.137244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1598.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21681.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68715.0 0.0 688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 4.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 -2.0 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 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 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 -1.0 -2.0 1.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 3137.0 92272.0 60.0 90972.0 688.0 102400.0 0.0 0.0 14712.0 95744.0 1284.0 106496.0 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 73728.0 0.0 0.0 0.0 0.0