Input: 0.01422309 0.0042268266 0.003933595 0.0041073086 0.0034864314 0.0037213468 0.003669006 0.0039690384 0.0036681818 0.0035962646 0.003569476 0.0037988275 0.003590907 0.0038013004 0.0038097491 0.0044574146 0.0035657668 0.003581222 0.003375774 0.0036955886 0.0035606152 0.0037293835 0.0037489596 0.0039237035 0.0037112494 0.0036360354 0.0035707124 0.0038666234 0.003746899 0.0039066 0.0039096912 0.004189735 0.003902891 0.0034905528 0.0033908167 0.0036481933 0.004059501 0.0035540212 0.0036230532 0.0037922335 0.0036747758 0.003528057 0.0035047713 0.0037808998 0.0035876099 0.0038274708 0.003803567 0.0040133423 0.003697443 0.003644072 0.003537742 0.004043222 0.0035742156 0.0036214048 0.0037153708 0.003865593 0.0038441622 0.003837362 0.0037458686 0.0040763984 0.0039970633 0.003950492 0.0041099875 0.00443619 0.0037104252 0.004052495 0.0035220808 0.003715989 0.0037687419 0.0038105734 0.0037036252 0.0038171676 0.005569141 0.0038676537 0.0034854012 0.0037040373 0.003890527 0.0037565841 0.0037541112 0.0040112818 0.0035585547 0.0036051255 0.0035088926 0.0036760122 0.0035179595 0.0035540212 0.0036514904 0.0037990336 0.0035678276 0.0037042433 0.0036263503 0.003718668 0.0038773387 0.0037864638 0.0039202003 0.0042663915 0.0034932317 0.00380604 0.0036067741 0.0038789874 0.0037232013 0.0039542015 0.0038431317 0.0039474014 0.003781518 0.003949462 0.003544336 0.0037565841 0.003850344 0.0037497838 0.0038866117 0.004245579 0.0037248498 0.0038664173 0.0038390104 0.0040862896 0.0044724573 0.004096799 0.0038204645 0.004017876 0.00414337 0.003956674 0.0037918214 0.0040263245 0.004187056 0.004043222 0.0042480514 0.0044287713 0.0035058018 0.0036141924 0.0034590247 0.004394565 0.0036916733 0.0040285913 0.0035575242 0.0039739837 0.003537948 0.004123382 0.0035995618 0.005203786 0.0037128981 0.0041481094 0.0037403048 0.004034567 0.003518578 0.0035756582 0.0035360933 0.0037613236 0.003569064 0.0035925554 0.0036898188 0.0038466349 0.0035779248 0.0036459267 0.003507038 0.0037456625 0.00377513 0.0038410712 0.004018494 0.0042255903 0.0035577302 0.0036387143 0.0036117197 0.0037821364 0.003566179 0.003653551 0.0035391843 0.0038917635 0.003535063 0.0036113076 0.00343203 0.0036624118 0.0036294414 0.0036531389 0.0037225832 0.0039548194 0.003647163 0.0037040373 0.0036889943 0.0037982094 0.0038008883 0.0037400988 0.003715989 0.0038981515 0.0038806358 0.0037234074 0.0037730692 0.0039072186 0.004009839 0.0039111334 0.004198596 0.0044087833 0.004058059 0.003918964 0.0037858454 0.004096181 0.003812634 0.003916079 0.0038919696 0.004224354 0.0037864638 0.0038173737 0.0037102192 0.003909279 0.004127915 0.0037172255 0.0038600292 0.0043667457 0.0038507562 0.0037644145 0.0037615297 0.0038901148 0.0036174895 0.003612956 0.0037483415 0.004008603 0.0038243798 0.0037264985 0.0037903788 0.0038635323 0.003737832 0.00386209 0.0040261187 0.004446905 0.0040106634 0.0039713047 0.0039826385 0.0041497583 0.0038023307 0.003884139 0.003697649 0.0041794316 0.0044807 0.004065683 0.0037588507 0.004122145 0.0039162855 0.0039140186 0.003893824 0.0044372203 0.004270307 0.0042383666 0.004015609 0.004068156 0.003971511 0.003993148 0.004047343 0.00433666 0.0045451988 0.004280198 0.004058883 0.00428638 0.0044106375 0.00428061 0.0046101096 0.006317779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017766924 5.5650457e-06 7.110892e-06 1.2366769e-06 3.6069741e-06 1.7519588e-06 1.8550153e-06 1.6489025e-06 1.030564e-06 9.2750764e-07 1.5458461e-06 2.0611282e-07 5.15282e-07 1.3397332e-06 5.15282e-07 4.534482e-06 0.0006364764 1.8859322e-05 2.8649682e-05 5.1528204e-06 3.534835e-05 6.1833844e-06 4.0191997e-05 2.638244e-05 3.916143e-06 2.8855793e-06 5.049764e-06 2.3909086e-05 1.8550153e-06 2.4733538e-06 2.267241e-06 4.637538e-06 0.0015315212 3.153526e-05 6.1833845e-05 1.6282913e-05 0.00012686243 3.246277e-05 0.00010460225 6.956307e-05 1.11300915e-05 9.378133e-06 1.0099528e-05 4.1119507e-05 2.7928287e-05 2.3290748e-05 6.904779e-06 6.080328e-06 0.0008473298 4.0295054e-05 5.6887136e-05 2.5351876e-05 3.5657515e-05 1.6798194e-05 9.872804e-05 6.554387e-05 1.2469825e-05 1.319122e-05 9.893415e-06 7.729231e-06 6.4925534e-06 7.832286e-06 8.553681e-06 1.3603446e-05 0.0011975154 5.3383217e-05 0.00012830523 8.502154e-05 3.8027814e-05 4.58601e-05 0.0005193012 0.00018024565 1.0923979e-05 1.1542317e-05 8.347569e-06 7.0078354e-06 7.729231e-06 7.2139483e-06 9.17202e-06 1.20576e-05 0.0018608895 0.00018426485 0.00025712574 9.914026e-05 0.00018993295 0.00017313476 0.00088278117 0.0005020908 4.3695916e-05 4.895179e-05 2.267241e-05 2.6897722e-05 3.1226093e-05 2.6794665e-05 4.039811e-05 4.2253127e-05 0.0009842918 0.000116556796 5.3692387e-05 4.957013e-05 4.4623423e-05 6.0906335e-05 0.00011408344 7.038753e-05 4.4623423e-05 4.5241763e-05 2.9886358e-05 4.2253127e-05 2.9371076e-05 3.813087e-05 4.3798973e-05 0.00013211831 0.0013418974 9.326605e-05 0.00012820217 0.00012634715 0.00010398391 9.81097e-05 0.00010336557 8.028094e-05 9.264771e-05 8.265124e-05 0.00020868922 7.9353435e-05 9.759441e-05 8.8216286e-05 0.00011552623 0.0003257613 0.00058927655 5.5547403e-05 6.451331e-05 5.3486274e-05 0.00015324488 5.647491e-05 5.3074047e-05 5.822687e-05 0.00012016377 4.0810337e-05 3.1741372e-05 4.070728e-05 9.73883e-05 3.5142235e-05 6.585304e-05 0.00017282559 0.004914554 0.00079518324 0.0011478423 0.0008818537 0.003551839 0.0006850159 0.00047838784 0.0009656385 0.0031138493 0.000285054 0.00022332324 0.0005178584 0.0019582778 0.00056083297 0.0010703438 0.0016445741 0.0015506897 0.00031710457 0.00044169975 0.0004456159 0.0011141428 0.00031112728 0.0002692864 0.00038872877 0.0010021204 0.00014087811 0.00014448508 0.00021456344 0.0006853251 0.00028165316 0.00044345172 0.00069150847 0.055876564 0.0580155 0.056807783 0.05991586 0.056752235 0.05786102 0.058335595 0.062338408 0.057881422 0.058756992 0.05775827 0.060816366 0.060068384 0.060470097 0.062473204 0.06669543 21900.0 6.182055 135387.0 0.015392911 0.008250423 0.008634507 0.009099839 0.010606632 0.009365744 0.009003819 0.009314041 0.010525383 0.009092454 0.009705511 0.009218019 0.009114612 0.009675966 0.010776515 0.009579945 0.0095504 0.008944728 0.009794146 0.009535627 0.009173702 0.009439606 0.009402676 0.009328813 0.009616876 0.010074822 0.009018592 0.00949131 0.010074822 0.00949131 0.010207775 0.010252092 0.008575417 0.013169655 0.009092454 0.009594717 0.009927098 0.010710038 0.010141299 0.009557786 0.010547541 0.009705511 0.0088782525 0.008944728 0.009358358 0.009018592 0.0095504 0.010156071 0.009439606 0.009454379 0.009395289 0.009683352 0.010170843 0.009986187 0.010266865 0.011293551 0.008996433 0.009277109 0.008375989 0.009203247 0.010599245 0.009653808 0.010495838 0.013073633 0.009092454 0.013250903 0.009579945 0.013236131 0.013044088 0.018399108 0.011212302 0.011574228 0.01039243 0.0142775895 0.008745301 0.009557786 0.012896364 0.010503224 0.0142775895 0.01590256 0.010554927 0.009439606 0.014824171 0.014188955 0.016729819 0.011175372 0.010030505 0.009875394 0.009690738 0.011271392 0.009077681 0.009483924 0.0097867595 0.009646421 0.010540156 0.010695267 6.5633473 0.0 0.0 0.0 77.0 4852813.0 352256.0 1.0 0.0 96.0 1.0 1.0 0.0 0.0 0.0 1536072000.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 136192.0 1024.0 4096.0 7.0 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 62464.0 0.0 0.0 0.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136704.0 0.0 60416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.424274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8595295 0.0 0.0 0.0 0.0 5.3422837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8444585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.323713 0.0 7.3307066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 62408.0 0.0 0.0 0.0 0.0 7428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135996.0 0.0 59960.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 203076.0 59960.0 286720.0 7428.0 274432.0 0.0 0.0 1688.0 348160.0 28.0 195008.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 195040.0 0.0 0.0 784.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.25298235 0.0030329172 0.0024795793 0.0026635902 0.0025161204 0.00249785 0.002376481 0.0023790912 0.0028945827 0.0027536382 0.0021768096 0.0024495635 0.0026387945 0.0024560886 0.002311229 0.0038590084 0.0034453103 0.0032547743 0.0032991455 0.0034152942 0.002970275 0.0032952304 0.0028084498 0.0030316121 0.0029180734 0.00296636 0.0030055111 0.0029298188 0.0031321002 0.003062933 0.0030668483 0.0034022438 0.003527528 0.0031099145 0.0028254155 0.002784959 0.0028828373 0.0030055111 0.002906328 0.002937649 0.003158201 0.0030733733 0.0027040464 0.002877617 0.002871092 0.0029324288 0.0031255751 0.003094254 0.0029598346 0.0030133415 0.0034557506 0.0038185522 0.003471411 0.0036710824 0.003464886 0.0030707633 0.0024469532 0.0024443432 0.0022459768 0.0026453196 0.0024469532 0.0024939347 0.0025526618 0.0025748473 0.0031608113 0.0023934466 0.002316449 0.0027927894 0.00218203 0.0030446625 0.0023229744 0.0023373298 0.0023268894 0.0022577222 0.002221181 0.0023895316 0.00218986 0.0024495635 0.00234516 0.0025148154 0.0029285138 0.002249892 0.0023777862 0.0030681533 0.0021950803 0.0025513566 0.0026166087 0.0028071448 0.0022694676 0.002343855 0.002278603 0.0023882263 0.0024182424 0.00250046 0.002469139 0.0025565769 0.0020854569 0.0026048634 0.0022577222 0.0024913247 0.0023908366 0.0029245985 0.0025865927 0.0024586986 0.00265576 0.0026387945 0.0027588583 0.0022746879 0.0026792507 0.0025226458 0.0027262322 0.0029572246 0.0026100834 0.0035457986 0.003947751 0.0037337246 0.0042988076 0.0042192 0.0032143178 0.0031203548 0.0031255751 0.0032965355 0.0031086095 0.0031790817 0.0032143178 0.0034896818 0.0033865834 0.0034022438 0.0034257346 0.0031999624 0.0030864237 0.0034296499 0.0030433575 0.0032169279 0.0031164398 0.002908938 0.0027953994 0.0034609707 0.0028958877 0.0039542764 0.0028541263 0.00328218 0.003245639 0.0031803867 0.0030394422 0.0033852784 0.0033591776 0.0033878884 0.0034935968 0.0041800486 0.003471411 0.0031281852 0.002218571 0.0023595155 0.0022459768 0.0027431978 0.0022903483 0.0024730542 0.002499155 0.002559187 0.0023242794 0.0023569055 0.0022068257 0.0024260727 0.0023360248 0.0023934466 0.0023595155 0.002407802 0.0023268894 0.0023973617 0.0022981786 0.0024613088 0.0022877383 0.002409107 0.00234255 0.002533086 0.0022029106 0.0022407568 0.0022851282 0.0029415642 0.0029911557 0.003060323 0.003466191 0.0032717397 0.0033356869 0.0031777767 0.0027692986 0.0029454792 0.0029833254 0.0030890338 0.003057713 0.0030498826 0.0033918035 0.0030094264 0.002965055 0.0029911557 0.0029506995 0.002875007 0.0030290019 0.0034074641 0.0032260632 0.0031477606 0.0027888743 0.0032874001 0.0029272088 0.0031138298 0.0030394422 0.0029219885 0.0028867524 0.0029781053 0.0030838137 0.0030290019 0.0033539573 0.0029885457 0.0030381372 0.0031216599 0.002814975 0.0028006197 0.002970275 0.0029859357 0.0033135011 0.0030694583 0.0031099145 0.0033226362 0.003150371 0.0031334052 0.0032404186 0.0035457986 0.0031307952 0.0034126842 0.0035875598 0.0034518354 0.004092611 0.0032378086 0.00297158 0.0027066567 0.0025800676 0.0026179138 0.0026962163 0.0027732137 0.0030694583 0.002936344 0.0025539668 0.0025513566 0.0026153037 0.0023895316 0.0028632616 0.0028084498 0.0029807154 0.0024182424 0.0025670172 0.0028802273 0.0029350389 0.0025082903 0.0026609802 0.01609247 0.12583669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026773761 0.0013230003 6.536563e-07 0.0 0.0 0.0 3.7258407e-05 0.0 0.0 1.3073126e-06 3.7258407e-05 0.0 6.536563e-07 6.536563e-07 6.536563e-07 6.536563e-07 0.0012752834 0.0012648249 5.2292503e-06 1.0458501e-05 1.0458501e-05 9.151188e-06 1.9609688e-06 4.575594e-06 2.6146251e-06 2.6146251e-06 3.2682815e-06 3.9219376e-06 4.575594e-06 3.2682815e-06 5.2292503e-06 3.9219376e-06 2.6146251e-06 0.0014445804 1.5034095e-05 1.37267825e-05 2.2224314e-05 1.1765813e-05 5.2292503e-06 1.1765813e-05 1.1765813e-05 3.7258407e-05 9.151188e-06 6.536563e-06 7.190219e-06 1.2419469e-05 9.151188e-06 1.2419469e-05 0.0010471573 0.001055655 7.974607e-05 2.6146251e-06 6.536563e-07 6.536563e-07 3.9219376e-06 6.536563e-07 8.236069e-05 1.3073126e-06 1.3073126e-06 5.8829064e-06 8.432166e-05 3.2682815e-06 3.9219376e-06 7.190219e-06 5.2292503e-06 0.007967416 0.00041834003 0.00011112157 4.575594e-06 5.8829064e-06 0.00012811663 1.1112157e-05 0.00077850465 0.00011242888 0.000120926416 3.0721847e-05 0.0007961534 1.9609688e-05 0.00013138492 4.444863e-05 2.8760876e-05 0.027001234 0.0021557584 0.0008674019 0.0020335247 0.00013203858 0.00023008701 0.00018629205 0.0022864898 0.00083668006 0.0020858173 0.00011700448 0.0017707549 0.0006784952 0.0008151094 0.0021825584 0.003474837 0.037842125 0.0019034471 0.002202168 0.0031342818 0.00021439926 0.00025950154 0.00034774514 0.0018635741 0.0024727818 0.003172194 0.00026865274 0.0009687186 0.0018315449 0.002088432 0.0034702613 0.0008785141 0.01633487 0.0020864708 0.0015661605 0.00028760877 0.0001614531 0.00014184341 0.0003320574 0.0023518554 0.0015550483 0.0003843499 0.00017452623 0.0016916625 0.0015243265 0.0011870398 0.0006163979 0.00039415475 0.008753765 0.0015668141 0.00040265228 0.0011857325 0.0003647402 0.00047520813 0.0012942394 0.0024753963 0.00045429112 0.0013112345 0.00011112157 0.0017681402 0.00050462264 0.00016537504 0.0012256055 0.0006987586 0.007157536 0.001489029 0.001432161 0.0006190125 0.00032225254 0.00030852578 0.0008085728 0.0019263251 0.001618453 0.00083994836 0.00017910183 0.00087589945 0.0010621914 0.0015668141 0.00081707037 0.0003961157 0.0069803954 0.001426278 0.0023636213 0.0006673831 0.00021636023 0.00024577478 0.0002588479 0.0014916436 0.0024616695 0.00079027045 0.00023989186 0.0004980861 0.0018779546 0.0023152507 0.0010550013 0.0012079568 0.0049573295 0.0013831367 0.0022655728 0.0009523772 0.0002451211 0.00023989186 0.0005399201 0.0014955656 0.0025924009 0.0010007478 0.0003412086 0.0006471197 0.0024734354 0.0017995158 0.0013498003 0.0018132426 0.0028930828 0.0011510887 0.00093865045 0.00043729605 0.00063731486 0.0005915589 0.00043729605 0.00107265 0.0016766284 0.00038369626 0.00023727723 0.00049677875 0.001637409 0.0007477828 0.0008288362 0.0018969106 0.0067058597 0.0016138774 0.0010634988 0.0012765907 0.0023681968 0.0019413591 0.0011020645 0.0016622479 0.0030532286 0.0004902422 0.0004771691 0.0005817541 0.0015066777 0.0008817823 0.0017243453 0.0030022433 0.03486668 0.03473464 0.034588877 0.036169417 0.034558807 0.035407253 0.035627536 0.037408095 0.03424505 0.036208637 0.035660874 0.03666293 0.035956327 0.037147287 0.03699433 0.038060445 2269.0 6.7620096 15343.0 0.01075409 0.0071693934 0.00951574 0.007039041 0.0076256273 0.008863977 0.007886332 0.008603272 0.008016685 0.008668448 0.007560451 0.007039041 0.007560451 0.008863977 0.010363032 0.009580917 0.00899433 0.0065828064 0.009255035 0.009124682 0.0071693934 0.0072345696 0.008733625 0.009580917 0.007886332 0.008472919 0.007560451 0.008929153 0.009450564 0.009711269 0.010363032 0.008147038 0.006256925 0.010428208 0.008081862 0.01199244 0.009646093 0.0123183215 0.009971974 0.00951574 0.008929153 0.010167503 0.00827739 0.009189859 0.009450564 0.009450564 0.008407743 0.010297855 0.0111451475 0.0076256273 0.009646093 0.013165613 0.008733625 0.00899433 0.009711269 0.016163724 0.008538095 0.008733625 0.00951574 0.008147038 0.008472919 0.008212214 0.008212214 0.00827739 0.006778335 0.01798866 0.008929153 0.01427361 0.015186078 0.035716612 0.011079972 0.009320212 0.009711269 0.020530535 0.009320212 0.008733625 0.019292185 0.014143257 0.01903148 0.020204654 0.012839732 0.008733625 0.01955289 0.017402073 0.025158053 0.012970084 0.008342567 0.009776445 0.010102327 0.010884442 0.008016685 0.00775598 0.0074300985 0.007364922 0.007886332 0.007560451 6.4868684 0.0 0.0 0.0 4.0 766259.0 872448.0 0.0 0.0 165.0 0.0 1.0 0.0 0.0 0.0 1517284600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26624.0 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 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 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 294400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.035324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5184536 0.0 3.6722558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5274.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26151.0 0.0 294296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34312.0 294296.0 577536.0 0.0 0.0 18352.0 676333500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.0088011995 0.0041274372 0.003979857 0.003996655 0.0041690315 0.0037850838 0.003980857 0.0038918692 0.003982057 0.0038758714 0.0036822977 0.0038022813 0.0039366633 0.0038612734 0.0038106802 0.0039554606 0.003952261 0.0037376902 0.0038232785 0.00373909 0.0038014816 0.0037134935 0.0037908829 0.0038166794 0.0038370767 0.0037506884 0.003928264 0.0038036811 0.0038446756 0.0038186791 0.003820879 0.0039886557 0.0039238646 0.0037416897 0.0036862972 0.0037116937 0.0037718855 0.003805281 0.0036421032 0.0037496886 0.0037084941 0.0037370902 0.0037626869 0.0037790844 0.003871072 0.0038068807 0.0039168657 0.0039108666 0.0038692723 0.0037494886 0.003826078 0.0041170386 0.0038970683 0.0038950688 0.0037812842 0.003870872 0.003878071 0.003797082 0.00373989 0.0038946688 0.00388467 0.0038594736 0.004016052 0.003936463 0.0038664725 0.0041092397 0.003835477 0.0037666862 0.0037818842 0.003970858 0.0038382765 0.003783284 0.0037908829 0.0036187065 0.0037860835 0.0038836703 0.003730891 0.0038308774 0.0037290913 0.0038574738 0.0038170794 0.0037944824 0.0038178791 0.0038448756 0.0038442756 0.0039276644 0.0038620732 0.0040130527 0.003806481 0.00381208 0.0038112802 0.0038970683 0.003972858 0.003942062 0.004004454 0.003980657 0.0038256783 0.0038464754 0.0037850838 0.0038110802 0.0038368767 0.0040440485 0.003863873 0.0038336772 0.0040066536 0.003791883 0.0039054672 0.0038578738 0.003856074 0.003893269 0.003952661 0.004012053 0.0038426758 0.0038676725 0.003864673 0.0040566465 0.004115239 0.004171431 0.0037730853 0.004000854 0.003840676 0.0039242646 0.0038522745 0.0039932556 0.0039640595 0.0040754443 0.003929264 0.0040672454 0.003980257 0.0038890694 0.0037922827 0.0041968278 0.0038028813 0.003900668 0.003753288 0.0038252783 0.003761087 0.0038914692 0.0038690723 0.004679362 0.0037490886 0.0041696313 0.00381288 0.0039492613 0.0039404626 0.003693696 0.0036451027 0.003724692 0.0036257054 0.0038230785 0.0038236785 0.003931664 0.003731091 0.003725092 0.0038292776 0.0038282778 0.0037632866 0.0038084805 0.0038426758 0.004000054 0.0037928827 0.003754288 0.0038192791 0.0037996818 0.0036686996 0.0037796844 0.0037738853 0.003820079 0.0037624869 0.0038658727 0.0038608734 0.00388547 0.0036974957 0.0038720719 0.0039616595 0.003972258 0.0038190791 0.0037584873 0.0037058946 0.003835077 0.0037332908 0.0038232785 0.003841076 0.0040282505 0.0038890694 0.003967259 0.004009453 0.003920665 0.0038858699 0.003966659 0.0040166522 0.004089042 0.0041546333 0.0038920692 0.0037500884 0.004061246 0.0037380902 0.0038386765 0.0039266646 0.004041249 0.0038112802 0.003746689 0.003730691 0.003900068 0.0038424758 0.0037724855 0.0038658727 0.0039638593 0.0039614597 0.003842076 0.003769086 0.0038982683 0.0038186791 0.0038668725 0.0038102802 0.004068045 0.0038450756 0.0037670862 0.0037944824 0.0039112666 0.0038466754 0.0039748577 0.0039908555 0.0040878425 0.003849275 0.0038820705 0.0037934827 0.0039938553 0.0037364904 0.0038902694 0.003981057 0.0040304502 0.004268218 0.0038910692 0.003900868 0.004099641 0.0038276778 0.0038452756 0.0039176657 0.0041750306 0.0039266646 0.0039430624 0.003864473 0.004040049 0.003900268 0.003988856 0.0039096666 0.0041484344 0.004003654 0.004026651 0.003966659 0.0040892423 0.0040718447 0.0040414487 0.0041876286 0.0052516838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001556259 3.7006157e-06 1.8002995e-06 3.7006157e-06 4.500749e-06 4.9008154e-06 7.701282e-06 4.9008154e-06 4.4007325e-06 4.0006657e-07 7.001165e-07 1.5002496e-06 2.7004494e-06 8.0013314e-07 4.4007325e-06 3.1005159e-06 0.00010521751 1.0001664e-06 1.5002496e-05 3.5005826e-06 1.9003162e-06 1.8002995e-06 5.240872e-05 2.4003994e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00065730937 2.3003828e-05 4.0006656e-05 3.3005494e-05 6.281045e-05 4.2107007e-05 0.00019133184 8.8414716e-05 1.6002663e-05 8.601432e-06 3.5005826e-06 3.8006324e-06 2.8404727e-05 2.500416e-06 3.5005826e-06 2.4704112e-05 0.0004760792 6.381062e-05 3.9106508e-05 8.2113664e-05 8.851473e-05 3.6506073e-05 0.00010491746 8.4114e-05 9.901648e-06 5.2008654e-06 2.6004327e-06 5.2008654e-06 3.600599e-06 2.9004827e-06 2.500416e-06 1.7102846e-05 0.0007386229 5.460909e-05 6.5910965e-05 5.1108505e-05 0.0001184197 5.920985e-05 0.0001677279 0.00015342553 4.820802e-05 2.3303877e-05 8.0013315e-06 1.490248e-05 2.620436e-05 1.0301715e-05 6.101015e-06 9.261541e-05 0.00018713114 7.6012648e-06 5.300882e-06 1.35022465e-05 2.5204194e-05 1.8002997e-05 3.840639e-05 1.8303046e-05 1.4802463e-05 3.3005492e-06 4.1006824e-06 6.701115e-06 3.840639e-05 3.7006157e-06 1.41023465e-05 1.1101847e-05 0.00028144685 2.1703612e-05 3.5905974e-05 2.6004327e-05 6.121019e-05 2.9104844e-05 1.910318e-05 4.3707274e-05 0.00011271876 1.0001664e-05 5.700949e-06 1.9003162e-05 4.590764e-05 1.8703113e-05 4.0606756e-05 4.850807e-05 0.0033448567 0.0004230704 0.00033025496 0.00049848296 0.0006926152 0.0007841305 0.00028224697 0.0005420902 0.0020209362 0.0003323553 0.00010861807 0.0004073678 0.0007973327 0.00034155682 0.0007758291 0.0012228035 0.0013386228 0.0004590764 0.00043607256 0.00034165685 0.0004603766 0.00046427725 0.00032075337 0.00029364886 0.0007818301 0.00024744117 0.00026104343 0.00022993826 0.00041276868 0.00023333883 0.00030295042 0.00038056332 0.060272228 0.060111403 0.05956021 0.060964845 0.059671327 0.060712304 0.06094244 0.06208933 0.06002139 0.060110904 0.0606972 0.06160825 0.060686298 0.061647657 0.061937705 0.06356708 23075.0 5.951766 137337.0 0.009618675 0.009545862 0.009494892 0.0091526685 0.010412344 0.0095167365 0.009618675 0.00915995 0.009422079 0.009538581 0.010441469 0.009676926 0.010011869 0.009924492 0.011439015 0.010208465 0.010419625 0.010587096 0.010048276 0.01130795 0.010346811 0.012138026 0.009975462 0.010412344 0.010667191 0.009990024 0.008919665 0.009997305 0.009902649 0.00985896 0.010121089 0.010040994 0.008708505 0.010477875 0.010113807 0.010412344 0.00926917 0.0104997195 0.010812818 0.010281279 0.01023759 0.009924492 0.010281279 0.010084682 0.010579814 0.009735177 0.009706051 0.009473048 0.009902649 0.010616221 0.00990993 0.01023759 0.010761849 0.0092182 0.010412344 0.011431734 0.009611394 0.010310404 0.010652628 0.009669645 0.012043368 0.01017934 0.010244872 0.011060384 0.009312858 0.011926866 0.010150215 0.011446296 0.012065212 0.014140399 0.011672018 0.010332248 0.010259435 0.012232683 0.010426906 0.009866241 0.010725441 0.010936601 0.012167151 0.0125821885 0.010354092 0.009662364 0.012036086 0.014016616 0.013492358 0.011562798 0.010543408 0.010026432 0.009990024 0.010521564 0.009655082 0.009312858 0.009924492 0.010048276 0.0097643025 0.010070119 6.57851 3.0 0.0 0.0 62.0 5000682.0 135168.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1190291700.0 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 0.0 4.0 0.0 4.0 0.0 81920.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -79872.0 -4096.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 4.711663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 -4096.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 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 -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 -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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 4049.0 114688.0 15360.0 118784.0 0.0 0.0 6776.0 5139648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12691359 0.0066422066 0.009227922 0.0036373988 0.007567371 0.0033685477 0.0028861968 0.0037243802 0.0031787702 0.0026094383 0.010833123 0.002561994 0.002071736 0.002316865 0.0030443447 0.004064398 0.002095458 0.003479251 0.0031471406 0.0033052885 0.008816739 0.0032262146 0.0024750126 0.0032103998 0.0024117536 0.0023880315 0.0023880315 0.002443383 0.0023564019 0.0032894737 0.0032103998 0.0070533906 0.004950025 0.0015419408 0.0016921812 0.0024354758 0.0019214954 0.002546179 0.001953125 0.0027122344 0.009694459 0.0023326797 0.0023484945 0.0034634362 0.0026489752 0.0027834007 0.0038904352 0.003194585 0.0027992155 0.0043648784 0.0021666244 0.0025303643 0.0025778087 0.0027834007 0.002546179 0.0035346027 0.0018819585 0.0021429022 0.0024117536 0.0027834007 0.0024354758 0.0029969004 0.0032578441 0.007488297 0.0020401063 0.0032024924 0.0020796433 0.0031629554 0.002198254 0.008025999 0.002870382 0.0033843624 0.0020401063 0.0031076036 0.0022615131 0.0029415486 0.002071736 0.0033843624 0.0020163842 0.0036373988 0.0026331604 0.007970648 0.0028387525 0.0040327683 0.002909919 0.0023722167 0.0045072115 0.0035504175 0.0020242915 0.002071736 0.002561994 0.0024038462 0.0020163842 0.001992662 0.0022536058 0.0069110575 0.001383793 0.006041245 0.0031708628 0.0042858045 0.0033527329 0.010042383 0.001850329 0.0034713435 0.0027517714 0.0062152073 0.0018661438 0.0033685477 0.004594193 0.003922065 0.0049737473 0.011797824 0.0047048964 0.002380124 0.008033907 0.0070296684 0.0074566677 0.004594193 0.002443383 0.0026568826 0.0033052885 0.003115511 0.0020796433 0.0059463563 0.0040406757 0.0036057692 0.004681174 0.009401885 0.0037085654 0.0022298836 0.0023880315 0.0018819585 0.0016526442 0.00266479 0.0019056806 0.0026568826 0.0015893851 0.0022298836 0.008231591 0.0023564019 0.00211918 0.002443383 0.0021824392 0.0049421177 0.0014154225 0.0022140688 0.0023880315 0.0022219762 0.001810792 0.0019214954 0.002071736 0.0025778087 0.0015182187 0.0017317181 0.0020796433 0.0022615131 0.0015972925 0.0023089575 0.002111273 0.0047048964 0.00266479 0.002561994 0.007883666 0.0032815663 0.0023484945 0.0026489752 0.0018186994 0.0029336412 0.0022298836 0.002032199 0.001953125 0.0024512904 0.0015893851 0.002546179 0.002095458 0.0049183955 0.0017475329 0.0024591978 0.0018819585 0.0021745318 0.0036057692 0.0024750126 0.0020875507 0.003115511 0.0022298836 0.002340587 0.0024750126 0.0022219762 0.0028387525 0.002198254 0.0029969004 0.0075199264 0.0022298836 0.0026806048 0.0028624746 0.003479251 0.005044914 0.0026964196 0.002419661 0.003866713 0.0016842738 0.0021033655 0.001850329 0.0022061614 0.0019056806 0.0020638285 0.0018186994 0.0034713435 0.0016763664 0.0027122344 0.0024908273 0.0025382717 0.0024117536 0.0021508096 0.0045467485 0.00354251 0.0021349948 0.002198254 0.0031076036 0.0028150303 0.002095458 0.0024354758 0.0032578441 0.0047444333 0.003313196 0.0041988236 0.0037164728 0.0034555288 0.0023722167 0.002158717 0.0023326797 0.0032894737 0.002561994 0.0029178264 0.0026726974 0.003068067 0.0029257338 0.003787639 0.002807123 0.0035504175 0.00605706 0.0055193575 0.0028466599 0.002830845 0.002743864 0.0032262146 0.0040169535 0.003518788 0.007788778 0.0032657515 0.0038113613 0.0047918777 0.0073143346 0.006428707 0.009741903 0.020488044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016773662 0.0017850281 0.0014968622 0.00088450947 0.0018530673 0.0011046362 0.00970559 0.007000032 4.0023053e-05 1.2006916e-05 9.605533e-05 3.201844e-05 4.4025357e-05 2.4013832e-05 6.003458e-05 7.20415e-05 0.04300077 0.0035740586 0.0041503906 0.0028536436 0.004246446 0.0033939548 0.015228772 0.012050942 0.00046426742 0.00015608991 0.00025614753 6.803919e-05 0.00010405994 0.0003001729 0.00015608991 0.00016009221 0.029020716 0.0020932057 0.0027055584 0.0019931481 0.0032058465 0.002505443 0.008104668 0.0049308403 0.0008484887 0.00046426742 0.00031217982 0.00032818902 0.00016809683 0.00023613601 0.00012407146 0.00033619365 0.02128426 0.003329918 0.0023093303 0.0009765625 0.0012647285 0.00087250257 0.0028736552 0.0025974961 0.0010005763 0.0005443135 0.00080446334 0.00077244494 0.00034820056 0.00050829275 0.00062035734 0.00087650487 0.008532915 0.0007084081 0.00043224898 0.0011766778 0.0007484311 0.0011886847 0.0031698258 0.0017370005 0.00032418672 0.00020011526 0.0006083504 0.0006643827 0.001048604 0.0015528945 0.0014488345 0.001048604 0.0014568391 0.00022012679 0.0 0.0012647285 3.602075e-05 0.0010405994 4.4025357e-05 0.00010005763 5.6032273e-05 5.6032273e-05 0.00027215676 0.00032018442 0.0013567815 0.0013127561 0.00031618212 0.00034419826 0.003826204 0.00090452103 0.00048027665 0.0011086386 0.0003642098 0.0007044057 0.0009725602 0.000812468 0.0003041752 0.0003001729 0.00064437115 0.0008484887 0.0011606686 0.0015568967 0.001480853 0.00092453253 0.00821273 0.0029336899 0.002453413 0.002201268 0.0023013256 0.0037021325 0.0022132748 0.004194416 0.002005155 0.0019491226 0.0022973232 0.0030337474 0.0025134478 0.0026895492 0.003301902 0.011374552 0.055159774 0.040159132 0.03640497 0.036709145 0.034683976 0.039042488 0.030997856 0.042428438 0.040671427 0.03167825 0.04121174 0.03882236 0.03614482 0.03722544 0.042192303 0.080402315 566.0 12.719081 7199.0 0.008612308 0.00083344907 0.00055563275 0.0029170718 0.0020836226 0.0018058064 0.0009723573 0.0019447146 0.0012501737 0.0020836226 0.0027781636 0.0023614392 0.0048617865 0.0023614392 0.014724268 0.0013890818 0.008195583 0.0038894292 0.0038894292 0.0038894292 0.0033337963 0.0038894292 0.0027781636 0.004028337 0.0025003473 0.0036116128 0.0020836226 0.0031948881 0.0012501737 0.0041672452 0.00305598 0.0025003473 0.0013890818 0.0127795525 0.0063897762 0.01986387 0.011390471 0.00763995 0.010418113 0.006250868 0.003750521 0.007501042 0.00152799 0.0033337963 0.005417419 0.0068065007 0.004306154 0.0033337963 0.0056952354 0.004306154 0.008056674 0.020558411 0.008890124 0.002222531 0.0083344905 0.003750521 0.0013890818 0.0012501737 0.0026392555 0.0023614392 0.0029170718 0.0016668981 0.0033337963 0.019724961 0.0016668981 0.04139464 0.017780248 0.0220864 0.0220864 0.09987498 0.0065286844 0.018613696 0.009862481 0.04375608 0.0023614392 0.0077788583 0.039449923 0.022780942 0.037921935 0.04597861 0.010557022 0.0026392555 0.043339353 0.039172105 0.07056536 0.025142381 0.003750521 0.009306848 0.008056674 0.014029726 0.004306154 0.00305598 0.0025003473 0.0016668981 0.0025003473 0.0025003473 5.599612 1.0 0.0 0.0 4.0 126464.0 155648.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1513603500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 124416.0 512.0 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 -124416.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4116282 0.0 3.181746 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 -124020.0 0.0 936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 132128.0 936.0 139264.0 0.0 0.0 0.0 0.0 12.0 147456.0 28.0 131924.0 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: 0.063432835 0.0048147934 0.0039354013 0.0046058767 0.0040762983 0.004178327 0.0037167678 0.0044261115 0.0040520057 0.0036876167 0.0037507773 0.0038090795 0.0037459189 0.0035467194 0.0034592662 0.0037702115 0.0037216262 0.0036244558 0.0036973336 0.003439832 0.003400964 0.0035127099 0.0034641246 0.0035078514 0.0033572372 0.0032454913 0.0031483208 0.0031386039 0.0031045943 0.0030317164 0.0036536069 0.0034738418 0.0040617227 0.0031386039 0.0036001632 0.0033912468 0.0039208257 0.0036827582 0.0032795009 0.0034058224 0.003420398 0.003187189 0.0034155394 0.0035370025 0.0033426618 0.0038382306 0.0040325713 0.0032552083 0.0038090795 0.0036876167 0.0036293145 0.0042171953 0.004056864 0.003969411 0.0036390314 0.0037993626 0.0039402596 0.0036001632 0.0033572372 0.0035661536 0.0034252566 0.0035564366 0.0035807292 0.0036681825 0.003804221 0.0037556358 0.0035855877 0.0034349735 0.0037459189 0.0036050219 0.0036827582 0.0032843594 0.0036536069 0.0033572372 0.0034544077 0.0035224268 0.003430115 0.0032649254 0.0035807292 0.003410681 0.003794504 0.0034495492 0.003634173 0.0034981344 0.0036244558 0.0032211987 0.0036973336 0.0034544077 0.0035953047 0.003337803 0.0034446907 0.0033766713 0.003663324 0.0034446907 0.0036827582 0.0035661536 0.0034349735 0.003420398 0.003765353 0.0038916743 0.0038090795 0.0040131374 0.0035953047 0.0033523787 0.0037459189 0.0037216262 0.0035078514 0.0035224268 0.003736202 0.0037459189 0.003532144 0.0036536069 0.0035370025 0.0034738418 0.0037993626 0.003915967 0.00403743 0.0035564366 0.0034592662 0.0033815298 0.0033329446 0.003502993 0.0034787003 0.0032357743 0.0033718129 0.0033815298 0.0030074238 0.0033912468 0.004445546 0.0036924751 0.0033863883 0.0034544077 0.0034446907 0.0032309156 0.003206623 0.0032309156 0.0033863883 0.003561295 0.0033232276 0.0042026197 0.0032211987 0.0034787003 0.0031823306 0.003439832 0.003337803 0.0034884172 0.0034787003 0.0032357743 0.00416861 0.0035515781 0.003328086 0.0033037935 0.0031143113 0.0032357743 0.0030171408 0.0033426618 0.0033912468 0.0032795009 0.0032552083 0.0034252566 0.0038625232 0.0036973336 0.0033669544 0.003206623 0.0031483208 0.0030997356 0.0032163402 0.0030754432 0.0034058224 0.00390625 0.0037119093 0.00456215 0.0030851602 0.0030997356 0.0032503498 0.0030997356 0.0032260572 0.0032406328 0.0031191697 0.0031920476 0.0031531793 0.003158038 0.0033766713 0.0032746424 0.0032552083 0.0032114817 0.0030608675 0.0031045943 0.0031337454 0.0029928482 0.0032309156 0.0029782727 0.0036390314 0.0032746424 0.0032746424 0.0031920476 0.0030171408 0.003196906 0.003036575 0.0028228 0.004314366 0.003979128 0.0065006996 0.0031143113 0.0030317164 0.003561295 0.006233481 0.0052180504 0.009561568 0.0033475203 0.0030803017 0.0031094528 0.003196906 0.0030171408 0.0030997356 0.002924829 0.003026858 0.003128887 0.003036575 0.0031726134 0.0031240282 0.0028276586 0.0029102534 0.0030608675 0.0034495492 0.0032114817 0.0031143113 0.003026858 0.0029053949 0.0030511506 0.003420398 0.0032406328 0.002963697 0.0030317164 0.0032357743 0.0033815298 0.0032211987 0.003289218 0.003177472 0.0031240282 0.0033523787 0.0031823306 0.0032843594 0.003298935 0.003196906 0.0029928482 0.0029782727 0.0032114817 0.0033863883 0.0030171408 0.0031045943 0.003167755 0.0051160213 0.010985114 0.009746191 0.031847596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003342285 8.789063e-05 9.2773436e-05 0.00014648438 8.544922e-05 0.000100097655 0.00010253906 0.00012939452 0.00014404296 0.00012207031 8.789063e-05 8.056641e-05 0.00012451172 5.6152345e-05 0.00014404296 0.00015380859 0.007851562 0.0001586914 0.0005029297 0.00080566405 0.00046142578 0.00040283203 0.0017456055 0.00080078124 0.00018066406 0.00016357422 0.00018066406 8.300781e-05 0.00012207031 8.544922e-05 0.00010986328 0.0013452149 0.010275879 0.0018896484 0.0010986328 0.0012817383 0.0012695312 0.0014477539 0.0016162109 0.0013378906 0.00095458986 0.0007641602 0.0013769531 0.00060791016 0.003442383 0.0019165039 0.0005053711 0.015214844 0.009868164 0.0020703124 0.0016796875 0.0021264649 0.0013916015 0.0015014649 0.0014501953 0.0014770508 0.0010620117 0.0018237304 0.0011499024 0.00068359374 0.0056591798 0.0024731446 0.0006567383 0.009926758 0.021933593 0.002145996 0.0029711914 0.004375 0.0026464844 0.002932129 0.0039282227 0.0030249024 0.0033789063 0.0026831054 0.0030810547 0.0012011719 0.004560547 0.0030859376 0.0015014649 0.011550293 0.012438965 0.0016772461 0.0023413086 0.0033544921 0.0022509766 0.002224121 0.0023608399 0.0021801759 0.0024072265 0.0015991211 0.0024365233 0.0012768555 0.0015649414 0.0012255859 0.0015356445 0.009125977 0.008059082 0.0011303711 0.0017211915 0.0025366212 0.0015405273 0.0018212891 0.0017822266 0.0019311523 0.0017822266 0.0014990234 0.0016748047 0.0013110351 0.0013134766 0.0012841797 0.0013769531 0.00423584 0.046958007 0.04550293 0.04628662 0.045148924 0.04709961 0.04622803 0.045644533 0.04517334 0.04619873 0.045566406 0.04507324 0.045703124 0.04484375 0.04488281 0.04522949 0.04446045 885.0 6.555932 5802.0 0.02016546 0.009651844 0.014133058 0.008962426 0.007928301 0.010858324 0.009651844 0.008617718 0.009651844 0.0068941745 0.008617718 0.0074112373 0.008617718 0.008790072 0.014477766 0.009134782 0.01068597 0.0084453635 0.00947949 0.009996553 0.007238883 0.008273009 0.008617718 0.011030679 0.01068597 0.010168907 0.009824199 0.011547742 0.01068597 0.010858324 0.009134782 0.009824199 0.009651844 0.011547742 0.0077559464 0.01068597 0.01068597 0.009996553 0.008790072 0.0049982765 0.008617718 0.0065494655 0.009307136 0.008790072 0.009307136 0.008273009 0.0103412615 0.00947949 0.009307136 0.008790072 0.012064805 0.007928301 0.008790072 0.008100655 0.012064805 0.008617718 0.0084453635 0.008790072 0.00947949 0.009134782 0.0077559464 0.008790072 0.008790072 0.00947949 0.0074112373 0.01465012 0.010513616 0.026714927 0.017063081 0.022578422 0.00947949 0.00672182 0.011030679 0.016718373 0.007583592 0.008617718 0.015856601 0.013960703 0.018786626 0.015511893 0.012581868 0.0074112373 0.014305412 0.016890727 0.017235436 0.010858324 0.009307136 0.008273009 0.00947949 0.013615995 0.008790072 0.009307136 0.0068941745 0.009307136 0.0041365046 0.007238883 6.5121784 0.0 0.0 0.0 4.0 205824.0 528384.0 0.0 0.0 6.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 327680.0 1024.0 4096.0 7.0 1.0 1.0 0.0 7.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -127488.0 -1536.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 7.642162 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2749963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.958836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998304 -7.8398356 3.496197 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -327680.0 -8192.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 479148.0 46440.0 421888.0 0.0 0.0 0.0 0.0 8.0 479060.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.05199236 0.006438695 0.004675128 0.0047381604 0.0056890114 0.0042003733 0.0038382723 0.0041587986 0.005462363 0.0034466665 0.0036920907 0.0035418856 0.004752913 0.0036303992 0.0033527885 0.006311289 0.004778394 0.0039147157 0.0031596678 0.0032682982 0.0041346587 0.003579437 0.003197219 0.0032106303 0.0040501687 0.0032092892 0.0030148274 0.0029625238 0.0038074267 0.0030564019 0.0032334293 0.0032964617 0.0041561164 0.0030255562 0.0031703967 0.0033688818 0.0038543656 0.0032025836 0.0030537196 0.0031824668 0.003241476 0.00278952 0.0026446795 0.0032468403 0.003382293 0.0037390296 0.0032978028 0.0030832242 0.0053993305 0.0042124433 0.0037175717 0.005229009 0.0035807781 0.003415821 0.003323284 0.0032830504 0.0037591464 0.003614306 0.0032522047 0.004810581 0.0037403707 0.003694773 0.003532498 0.003882529 0.0055589234 0.004082355 0.003415821 0.0059344354 0.0035472503 0.006002832 0.0037122073 0.0032910972 0.0034855588 0.0032133125 0.0028512112 0.0030201918 0.0032468403 0.0040582153 0.0032723215 0.003127481 0.0051552476 0.0034104565 0.0028646225 0.0038034031 0.002916926 0.0041346587 0.004081014 0.003802062 0.0033688818 0.0038811879 0.00281366 0.0033380361 0.0029263138 0.0040997895 0.0039817714 0.0038798468 0.0032629338 0.003906669 0.0030523785 0.0035271335 0.0036303992 0.0043210736 0.0049044588 0.00316235 0.0038771646 0.0038369312 0.0041883034 0.0030081219 0.0036397872 0.003265616 0.003603577 0.0041158833 0.004022005 0.0029477717 0.004219149 0.0042473124 0.007288962 0.006326041 0.0033085316 0.003312555 0.0036116238 0.0033085316 0.0028874215 0.0029383837 0.0031690556 0.0034252086 0.0032240413 0.0033608351 0.0034788533 0.003555297 0.0035284746 0.0075705964 0.0039442205 0.0077127544 0.0031288222 0.0031167523 0.0035271335 0.006682778 0.0031221167 0.013039664 0.0033152371 0.0062858076 0.0028082957 0.0028378002 0.0031449154 0.0028860802 0.0027828144 0.0030282384 0.0028968093 0.0029316782 0.0028726691 0.0028860802 0.003300485 0.0027989077 0.0026768663 0.0027841555 0.0030416497 0.0029920284 0.0029222905 0.002916926 0.0029491128 0.003195878 0.002731852 0.0029772762 0.002836459 0.002812319 0.0028780336 0.002776109 0.002836459 0.0025159325 0.0024381478 0.0027439222 0.002973253 0.002696983 0.0027412397 0.003024215 0.0032830504 0.0029464306 0.0027600154 0.0030161685 0.003022874 0.0028780336 0.003032262 0.0033206018 0.0032682982 0.0030993177 0.0030040985 0.0028753513 0.003264275 0.0030939532 0.0030510374 0.0031931957 0.005520031 0.004646965 0.0038168144 0.0046711047 0.004168187 0.0030268973 0.0036934318 0.004995655 0.003732324 0.0035727313 0.0028431646 0.0031060232 0.0064065084 0.0028968093 0.003218677 0.0034359377 0.0033085316 0.0030282384 0.0031543034 0.003032262 0.0029008326 0.002592376 0.0029799584 0.0029772762 0.0033568118 0.0030349442 0.0028565757 0.0031918546 0.0030724953 0.0030845653 0.0029893462 0.0031301633 0.003936174 0.0033299895 0.0028793747 0.0029222905 0.0036411283 0.0032964617 0.002951795 0.003022874 0.0070730424 0.003649175 0.0027479455 0.004459209 0.0043800827 0.0028431646 0.0030067808 0.0032146536 0.00479717 0.0033259662 0.0031744202 0.0032294057 0.0034506898 0.0027854966 0.0044216574 0.0035727313 0.0048280153 0.0034493487 0.0032025836 0.003371564 0.004634895 0.0036344228 0.004964809 0.022747999 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018846178 2.3507351e-05 0.00014037246 8.7984656e-05 2.820882e-05 2.0149157e-05 0.0002941777 0.00018134242 1.0746217e-05 6.716386e-06 1.4776049e-05 9.40294e-06 6.716386e-06 1.3432772e-05 9.40294e-06 1.9477518e-05 0.0042474424 9.7387594e-05 0.00042581887 4.9701255e-05 0.00041843083 0.00015246196 0.0007273846 0.00046074408 4.0298313e-05 8.731302e-06 4.0298314e-06 6.716386e-06 1.5447687e-05 3.8955037e-05 2.1492435e-05 0.00016253654 0.006432954 0.00019544683 0.00049499766 0.00025455104 0.000765668 0.00020820796 0.0010672337 0.0006246239 9.067121e-05 4.298487e-05 4.365651e-05 6.111911e-05 5.2387808e-05 9.2686125e-05 5.3731088e-05 0.0005232064 0.005019827 0.00020686469 0.00034723716 0.0004970126 0.0017234246 0.00039559513 0.0013036504 0.0006884296 0.00013029788 0.00010880545 9.2686125e-05 9.805923e-05 9.805923e-05 9.940251e-05 8.395482e-05 0.000110820365 0.0026301367 8.999957e-05 0.00029149113 0.00022567056 0.0003935802 0.00033044617 0.0012304418 0.00076163816 0.00011417856 6.313403e-05 5.5074364e-05 5.2387808e-05 0.00015111869 6.917877e-05 7.723844e-05 0.00034186404 0.003963339 0.00048022158 0.00056820625 0.0049627377 0.0005292512 0.0005937285 0.0011908152 0.0008314886 0.00046947537 0.00038619217 0.00040163987 0.000390222 0.0004526844 0.0004594008 0.00038619217 0.00044059491 0.0076660826 0.0009282045 0.0009416373 0.0023238694 0.0016233504 0.0012284269 0.0015508134 0.0013311877 0.005033931 0.000748877 0.0005641764 0.0008798466 0.0017677528 0.00074216066 0.0010262638 0.0074068303 0.021204302 0.003612744 0.0020800647 0.0037786388 0.0058029573 0.0055369884 0.0030096124 0.0051024384 0.01391165 0.00096044317 0.0009154434 0.0019054386 0.007265786 0.0016891711 0.0050037075 0.013131206 0.022571087 0.006048777 0.0037860267 0.00537378 0.007449815 0.008216826 0.0051729605 0.0071328017 0.01390762 0.0012566358 0.0015098435 0.0021512583 0.008713167 0.0028410312 0.006127359 0.011908824 0.04377606 0.044223372 0.043360986 0.04489501 0.04311517 0.04181219 0.04373106 0.044511504 0.044017177 0.043307927 0.041564353 0.04360009 0.04528859 0.042693377 0.04462031 0.045620378 3514.0 8.129482 28567.0 0.018342843 0.0061259493 0.0064409985 0.005845906 0.008366297 0.0058109006 0.005425841 0.0055308575 0.0065110093 0.005425841 0.0052858195 0.0063709873 0.0062659713 0.008401303 0.012251899 0.00948647 0.021983407 0.016347533 0.014212203 0.012566948 0.011796828 0.011131725 0.011166731 0.010816677 0.011831834 0.009416459 0.009591486 0.010221585 0.010011552 0.009276438 0.009451465 0.010186579 0.008051248 0.011726818 0.0065110093 0.013022019 0.00987153 0.008366297 0.007561172 0.009521476 0.0076661883 0.009416459 0.0059509226 0.0057758954 0.007281129 0.008576329 0.00864634 0.0065460145 0.014807295 0.0071411068 0.009066406 0.0120768715 0.009171422 0.006651031 0.009941541 0.009626492 0.008786362 0.0058809114 0.0070360904 0.005985928 0.0062659713 0.005985928 0.006335982 0.009276438 0.006160955 0.021073267 0.008121259 0.017222669 0.01760773 0.029964644 0.011691812 0.0097665135 0.010781671 0.023453636 0.008051248 0.0065110093 0.015752442 0.0142822135 0.018237827 0.028739454 0.01438723 0.005005776 0.025518956 0.020478174 0.029299542 0.011831834 0.0060559385 0.008296286 0.00864634 0.0076661883 0.0067560473 0.005040781 0.00574089 0.0051107924 0.005670879 0.006651031 6.415475 2.0 20.0 0.0 7.0 745648.0 745472.0 1.0 0.0 117.0 1.0 1.0 1.0 0.0 0.0 1545707300.0 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 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 10.0 0.0 14.0 13.0 10.0 0.0 5.0 1.0 194048.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -194048.0 -3584.0 519680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7370105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9710262 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.501702 -5.5316076 7.997311 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193608.0 -3338.0 519392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 209384.0 519392.0 212992.0 0.0 0.0 15536.0 730112.0 8292.0 733184.0 84.0 29232.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8864.0 0.0 0.0 484.0 208896.0 0.0 0.0 0.0 0.0