Input: 0.18003264 0.00980707 0.004361671 0.007652993 0.005779883 0.0046827756 0.0035990474 0.003732841 0.01042252 0.0035589093 0.002836424 0.0027160097 0.004455326 0.0043482915 0.002314629 0.005378502 0.005338364 0.0027026304 0.0016724198 0.0016724198 0.002956838 0.005485537 0.0013245564 0.0013379358 0.0027962858 0.0022343528 0.0016590405 0.0017660753 0.001792834 0.0016189023 0.001940007 0.001271039 0.005900297 0.0021005592 0.0024751814 0.0022477321 0.004227877 0.0021005592 0.001832972 0.0016322817 0.0036124268 0.004227877 0.0035990474 0.003104011 0.0034652539 0.002167456 0.0034117363 0.0023547672 0.0039067725 0.0024885607 0.003104011 0.004482085 0.002956838 0.003880014 0.0029434587 0.002876562 0.004094084 0.0036793235 0.0027293891 0.0049771215 0.003318081 0.0031441492 0.0029300796 0.00458912 0.013740601 0.0051376736 0.0071445773 0.0037462204 0.004629258 0.010609831 0.0050707767 0.0032913222 0.0045088436 0.0034652539 0.002461802 0.0030103556 0.0036525647 0.0047630514 0.0033715982 0.0024350432 0.008067753 0.0026223543 0.0027160097 0.0061812634 0.002461802 0.003933531 0.005311605 0.0052447086 0.0034652539 0.0027829066 0.0023413878 0.0024082845 0.002608975 0.0031173904 0.0025286986 0.0027026304 0.0037595998 0.0047229133 0.002608975 0.0037729791 0.0035990474 0.008040994 0.0034786332 0.003438495 0.0064488505 0.004482085 0.00646223 0.0020202831 0.0048433277 0.0024885607 0.004147601 0.0045757405 0.0053249844 0.003170908 0.005873538 0.004816569 0.0092718955 0.009593 0.0022343528 0.0025822162 0.0037863585 0.0026491128 0.0023012497 0.0019935244 0.0026357337 0.0042144977 0.0022343528 0.0023280084 0.005351743 0.0033448397 0.0020604213 0.0049503627 0.0028230445 0.0042011184 0.0015520055 0.0016724198 0.0033047015 0.0052714674 0.0020202831 0.009873967 0.0020202831 0.0036525647 0.0014583501 0.0012977978 0.0033849776 0.0020336625 0.0017526959 0.0020604213 0.0019266276 0.0011640042 0.0010034519 0.0018195928 0.002127318 0.008870514 0.001230901 0.0015787643 0.0015520055 0.0013780739 0.0014717294 0.0013914533 0.0027962858 0.0021942148 0.0014449707 0.0019266276 0.0017660753 0.0013780739 0.0013780739 0.0012175216 0.0022878703 0.0012175216 0.0014851087 0.0012041422 0.0012175216 0.0011372454 0.0012442804 0.001418212 0.0020738004 0.0010302106 0.00088303763 0.0008295202 0.0014048326 0.0011372454 0.001418212 0.0012175216 0.002047042 0.0015787643 0.0011372454 0.0011238661 0.0012977978 0.001230901 0.0015386262 0.0011104867 0.0054587782 0.0028230445 0.0021139386 0.0016991785 0.0016724198 0.000896417 0.001605523 0.0026758716 0.0024082845 0.0017125579 0.001083728 0.001230901 0.001271039 0.001083728 0.0011506248 0.0011773836 0.0018597308 0.0011773836 0.0012442804 0.0018731102 0.0016724198 0.001271039 0.001980145 0.0009365551 0.0019667656 0.0010435899 0.0009766931 0.0012844184 0.0011372454 0.000896417 0.0010034519 0.0012175216 0.0025822162 0.0011907629 0.0014984881 0.0009231757 0.001832972 0.00085627893 0.0011372454 0.0010034519 0.008308581 0.0027695273 0.0013245564 0.003211046 0.0025955955 0.0009900725 0.0010971074 0.001230901 0.0032913222 0.0012041422 0.0009633138 0.0016456611 0.0022343528 0.0010569693 0.0018998688 0.0018062134 0.004562361 0.0016857991 0.0011640042 0.0021942148 0.0040539457 0.003104011 0.0065157474 0.07124508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013018541 6.18948e-05 3.4386005e-05 2.7508802e-05 0.0 4.1263203e-05 1.3754401e-05 0.0 0.0001237896 0.00039200045 2.0631602e-05 1.3754401e-05 4.1263203e-05 4.8140406e-05 8.9403606e-05 0.00015817562 0.012825979 7.564921e-05 6.877201e-05 5.5017605e-05 8.252641e-05 6.877201e-05 0.0001237896 2.0631602e-05 0.00024070202 2.7508802e-05 8.252641e-05 4.8140406e-05 4.1263203e-05 6.877201e-05 0.00013066681 0.0001237896 0.019902619 0.0011416153 2.0631602e-05 6.8772006e-06 6.8772006e-06 0.0 6.8772006e-06 0.0 0.00019943881 0.00665713 0.0 0.0 6.18948e-05 0.0 0.0 0.00016505281 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009965064 0.00015129842 0.00031635124 0.00010315801 0.00048140404 0.00064645684 0.0005845621 0.00022694762 0.00040575484 6.18948e-05 4.8140406e-05 2.0631602e-05 7.564921e-05 3.4386005e-05 8.252641e-05 0.0008802817 0.016250825 0.00024070202 0.0014648438 0.0006327025 0.001196633 0.00066021126 0.0041607064 0.0020631603 0.00043326363 0.00013066681 0.00011003521 5.5017605e-05 6.18948e-05 5.5017605e-05 0.0001237896 0.0005295444 0.014167033 0.0006533341 0.00050203566 0.00054329884 0.0039612674 0.0018430898 0.0108591 0.00545362 0.0006327025 0.0018362126 0.00031635124 0.00027508804 0.00032322842 0.0001237896 0.00022694762 0.00053642166 0.008651518 0.00014442121 0.0009765625 0.00037824604 0.0026821082 0.0012447733 0.0076612015 0.0049997247 0.00029571963 0.0002475792 0.0001237896 0.000116912415 0.00014442121 0.00014442121 0.00014442121 0.00021319323 0.027680732 0.002365757 0.002675231 0.0034867409 0.0048415493 0.0030397228 0.005267936 0.005164778 0.0022832307 0.0008527729 0.0009146677 0.0006670885 0.0011484926 0.00064645684 0.0009215449 0.008465834 0.014559034 0.0017536862 0.00528169 0.0072554466 0.0062857615 0.004972216 0.004387654 0.00321853 0.002503301 0.0023520025 0.0019943882 0.0009284221 0.0009146677 0.0005295444 0.00070835167 0.012777839 0.06771292 0.012200154 0.017069211 0.023279324 0.035610147 0.023272447 0.019565636 0.020947954 0.02309364 0.009504291 0.008362676 0.005350462 0.009524923 0.005701199 0.010618398 0.060299296 0.039220676 0.008135729 0.009373625 0.0098894145 0.015735036 0.012557768 0.0054673743 0.012275803 0.014304577 0.0027302487 0.0025789503 0.0027233714 0.0067190253 0.003225407 0.008094465 0.015982615 0.012021347 0.010260783 0.010522117 0.010625275 0.010969135 0.010597766 0.011196082 0.010962258 0.010577135 0.009469905 0.009971941 0.010247029 0.010425836 0.01017138 0.010824714 0.01017138 519.0 11.849711 6150.0 0.023089431 0.007317073 0.009593496 0.0053658537 0.0063414634 0.004878049 0.0037398373 0.001300813 0.0037398373 0.024390243 0.022601627 0.011382114 0.01398374 0.0037398373 0.016747968 0.0076422766 0.007317073 0.009593496 0.009593496 0.008130081 0.005203252 0.006178862 0.0058536585 0.007317073 0.003089431 0.0050406503 0.0042276424 0.007317073 0.0058536585 0.006504065 0.0074796746 0.004390244 0.006504065 0.02097561 0.00699187 0.01203252 0.0100813005 0.013333334 0.011219512 0.008130081 0.003902439 0.009105691 0.0032520324 0.0037398373 0.009105691 0.007804878 0.005528455 0.004390244 0.010731707 0.0034146341 0.00699187 0.014146341 0.007804878 0.0047154473 0.0053658537 0.007804878 0.003089431 0.005528455 0.0024390244 0.0042276424 0.005203252 0.0027642276 0.002601626 0.0027642276 0.0021138212 0.0300813 0.0074796746 0.01691057 0.019674797 0.07073171 0.012520325 0.01609756 0.009918699 0.03382114 0.003089431 0.0050406503 0.030243902 0.012520325 0.028455285 0.034146342 0.01203252 0.0021138212 0.03203252 0.029756097 0.043739837 0.014471545 0.0040650405 0.0068292683 0.00699187 0.009593496 0.0037398373 0.0014634146 0.0022764227 0.0008130081 0.0014634146 0.0011382113 6.047989 0.0 0.0 0.0 2.0 74742.0 294912.0 0.0 0.0 154.0 0.0 1.0 0.0 0.0 0.0 1181339300.0 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 23040.0 1024.0 4096.0 5.0 1.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2741666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.981108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.471538 0.0 6.0138764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4474.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22956.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29600.0 30936.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 648.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.11390235 0.013295392 0.0049439673 0.016465876 0.010520502 0.0034762567 0.0031590173 0.002564671 0.031047426 0.0018747706 0.0032106165 0.0013778895 0.009603183 0.0012364696 0.0010300728 0.03209852 0.00797112 0.002450006 0.00093834085 0.005803954 0.0045044185 0.004315221 0.00062492356 0.0006000795 0.0051713856 0.0009287855 0.0010988717 0.0008962971 0.005450404 0.00075487705 0.0005675911 0.0010434503 0.019749112 0.0012345584 0.00080265413 0.0007739879 0.021568462 0.0035660774 0.0005083476 0.00066696736 0.0028035562 0.0009937623 0.0006000795 0.00120207 0.0018518377 0.0013262903 0.00082176493 0.00042999326 0.0022665423 0.00054656924 0.0012383807 0.0026774248 0.0017486393 0.00051025866 0.00068034494 0.0003172395 0.0015613533 0.001012873 0.0034972786 0.0036062102 0.0013320236 0.0018327269 0.00042617111 0.0004089714 0.0037017644 0.004991744 0.0019626804 0.0033367479 0.011191292 0.008668665 0.013905027 0.0079558315 0.0038106958 0.00098994 0.00079118763 0.0009708293 0.0033271925 0.002914399 0.002446184 0.0012211809 0.006449899 0.0021595217 0.0013301126 0.0037132308 0.0049133897 0.0039788713 0.004448997 0.0044375304 0.0010931385 0.00076061033 0.00029048434 0.0028761772 0.0018556599 0.0041279355 0.0036406098 0.007913787 0.0008427868 0.007204776 0.0016454409 0.0035049228 0.0059396406 0.011439732 0.005685467 0.0021079227 0.009289766 0.0071627325 0.0035049228 0.0017237952 0.008127828 0.0024595615 0.0065760305 0.0074532167 0.003531678 0.00057523546 0.008418312 0.008433602 0.015363182 0.012819533 0.0017964164 0.002023835 0.0020639678 0.0017696612 0.0007625214 0.00038986056 0.0020161907 0.0013129128 0.000823676 0.0006784338 0.0023582743 0.0017543725 0.0008485201 0.01762208 0.0044126865 0.007462772 0.003082574 0.0016951291 0.0011218047 0.015021099 0.0011925147 0.035817485 0.0007090111 0.0036425209 0.00080265413 0.0005675911 0.0006535898 0.00019301921 0.00022932974 0.0003573722 0.0006535898 0.0005121698 0.00050452544 0.00026755137 0.0021556995 0.006879892 0.00015479758 0.0001739084 0.00041279354 0.0002656403 0.00033826136 0.00024652947 0.0035488778 0.0019569471 0.0003669276 0.0003573722 0.00659323 0.00023124083 0.00016435298 0.0001739084 0.00052745844 0.00021786326 0.00021595218 0.0002044857 0.0004758592 0.00016626407 0.00013950893 0.000659323 0.0013683342 0.00022168542 0.00019110812 0.00025035164 0.00052745844 0.00046057056 0.017385107 0.001246025 0.0018728595 0.0013893561 0.000752966 0.00096891815 0.0005809687 0.00038603842 0.000940252 0.0007873655 0.005601379 0.015743487 0.0050930316 0.003999893 0.009272566 0.0003153284 0.0025570267 0.0049936553 0.00945603 0.001246025 0.0014925544 0.0010166952 0.009396786 0.00040323814 0.0011657595 0.0013759785 0.002755779 0.00098994 0.00096127385 0.00091158575 0.00063639006 0.0002044857 0.0007453217 0.00064403436 0.0022703644 0.0008313203 0.001010962 0.00062683463 0.0006707895 0.00022550758 0.0003172395 0.00032870597 0.004166157 0.0061383927 0.0019244588 0.0012536693 0.0011944257 0.0027481348 0.0015460647 0.00120207 0.013287747 0.0014982877 0.00032488382 0.0038737615 0.0028742661 0.00028284002 0.00029430652 0.00034017247 0.0051484527 0.00064403436 0.0008427868 0.0005809687 0.0022646312 0.00024270732 0.0021576106 0.0014715325 0.004773881 0.0016110415 0.0027443126 0.0016454409 0.00404767 0.0020754342 0.003103596 0.029885488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016218597 3.7339156e-05 0.0006529565 7.850797e-05 0.00012925093 0.00012542127 0.0019684436 0.00096411613 1.0531557e-05 4.5955883e-05 5.7444854e-06 7.659314e-06 1.2446385e-05 5.935968e-05 9.5741425e-06 0.00015318628 0.0065659466 4.4041055e-05 0.010137102 0.0017721737 0.0019828049 0.003404565 0.03190583 0.016267424 3.159467e-05 3.2552085e-05 2.6807598e-05 1.4361213e-05 2.2020527e-05 5.0742954e-05 0.00013882507 0.00015222887 0.011708219 0.00011297488 0.010849418 0.0026616114 0.0038976332 0.0036046645 0.028160425 0.0145019535 9.286918e-05 0.00010818781 0.00020392923 9.765625e-05 9.8613666e-05 0.00012254903 8.999694e-05 0.00015988818 0.0034409468 6.797641e-05 0.0008970971 0.0003379672 0.00053232233 0.0005600873 0.0033988205 0.0016333486 7.37209e-05 4.1168812e-05 0.00015893076 4.1168812e-05 3.638174e-05 4.978554e-05 0.00020009957 0.0002948836 0.004483571 0.00019339767 0.0003303079 0.0002020144 0.0004394531 0.00038200826 0.0010014552 0.00062136183 0.00034849878 0.00010818781 0.00016754749 0.00014265472 0.00031307444 0.00019148285 0.00050551473 0.00037339155 0.020999923 0.0026462928 0.0016639859 0.0011153875 0.0050580194 0.0029919194 0.0011728324 0.0026060815 0.009114583 0.0012120864 0.0009928385 0.0023494945 0.005919692 0.0006673177 0.0030225567 0.005133655 0.15113454 0.028102979 0.020102827 0.011680453 0.04225452 0.029229855 0.011687155 0.0179429 0.06410367 0.008995864 0.01007104 0.020380476 0.049549058 0.009350107 0.028451478 0.04206112 0.048990887 0.011983953 0.014296109 0.0058143768 0.017992685 0.013775276 0.0053423713 0.008249081 0.024483955 0.0034802007 0.004401233 0.0063476562 0.017317709 0.0036515777 0.01060815 0.015029488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2756.0 27.771046 76537.0 0.112951905 0.0016331971 0.00066634436 0.00013065577 0.004690542 0.019925004 0.00015678692 0.0018161151 0.0042332467 0.0038412793 0.00086232804 0.00035277056 0.0023779348 0.006153886 0.0029658857 0.0007186067 0.0028744268 0.001202033 0.0020120987 0.0007055411 0.00084926246 0.00026131154 0.0016331971 7.839346e-05 0.0012542953 0.001202033 0.021009447 0.0022342135 0.0008753936 0.0006532788 0.00043116402 0.00023518037 0.001110574 0.0044292305 0.0019859676 0.0028221644 0.0047036074 0.0044553615 0.0067549027 0.0030834759 0.001019115 0.0043900334 0.00041809844 0.0005095575 0.003906607 0.0023518037 0.004037263 0.001789984 0.0040503284 0.00096685265 0.0031357382 0.0065589193 0.005696591 0.0023518037 0.0019206397 0.0017507873 0.0012673609 0.0008100657 0.00028744267 0.00066634436 0.00037890172 0.00067940995 0.0009145903 0.031736284 0.00026131154 0.046983812 0.009080576 0.021819511 0.033604663 0.07538837 0.028979449 0.012177117 0.014790232 0.04660491 0.0009407215 0.009564002 0.046317466 0.0145942485 0.04314253 0.04929642 0.015835479 0.0008100657 0.048473287 0.05096881 0.060428288 0.02708494 0.0058664437 0.0051609026 0.0069247554 0.008636346 0.002926689 7.839346e-05 0.00056181976 0.00015678692 0.00023518037 0.00037890172 5.0934596 1.0 1.0 0.0 3.0 523264.0 540672.0 1.0 0.0 148.0 0.0 1.0 0.0 0.0 0.0 1539567000.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 428032.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -428544.0 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 5.1272182 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.98545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.363522 0.0 4.8690505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -427741.0 0.0 480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 360.0 516276.0 480.0 536576.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 512880.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 512992.0 0.0 0.0 660.0 434176.0 0.0 0.0 0.0 0.0


Input: 0.056588303 0.008294959 0.006164096 0.0056647235 0.005752605 0.0049503003 0.0042048604 0.0054217577 0.0050423173 0.0056254356 0.003748912 0.004463335 0.0049596056 0.0031668276 0.004324793 0.0046401313 0.0050340462 0.0037695898 0.004926521 0.004160403 0.004349606 0.0031885395 0.004102505 0.0038460982 0.0050598937 0.0033529291 0.0031595903 0.002931099 0.0041521317 0.0034325393 0.0037830304 0.003787166 0.0061620283 0.0038192167 0.0034821662 0.0030303532 0.0049006734 0.0041583353 0.003838861 0.0037209967 0.0047176736 0.0038936574 0.003335353 0.003100658 0.00436925 0.0037209967 0.0037272 0.003584522 0.005518944 0.0039453525 0.0031047938 0.0029062855 0.0036775728 0.0030696413 0.0026881332 0.0028669974 0.0041655726 0.0033219121 0.0035193865 0.0033601664 0.004001183 0.0032154208 0.0035080137 0.003456319 0.0065931636 0.0039463863 0.0036186408 0.0032247258 0.004162471 0.003222658 0.0035421324 0.003062404 0.004996826 0.0037737254 0.0036992847 0.003585556 0.0041242167 0.0031192682 0.0035648781 0.00346459 0.0051663853 0.0036393187 0.0036558611 0.0033405223 0.0039329454 0.0033777426 0.0033601664 0.0035379967 0.004651504 0.0036486238 0.003807844 0.0035100814 0.0041118097 0.0033870477 0.0036920474 0.0037944033 0.005910791 0.0036238101 0.0033374208 0.0029579804 0.0039918777 0.0030541327 0.0032681494 0.0030334548 0.0049792496 0.0031699294 0.003205082 0.0030562007 0.0035814205 0.00284115 0.003084116 0.0031999124 0.0045067584 0.0032846918 0.0032205903 0.0031502852 0.0038915896 0.003335353 0.003282624 0.0036351832 0.004623589 0.0032908954 0.0034842342 0.0031719971 0.0040342673 0.0031999124 0.0034707934 0.0033456918 0.008648551 0.004599809 0.004009454 0.0035224883 0.0043558097 0.0034304715 0.0030282855 0.00338498 0.0045460467 0.0038336914 0.0029579804 0.003191641 0.003737539 0.002810133 0.0028535568 0.0029972685 0.005227385 0.003204048 0.0034935393 0.0030262175 0.0036682677 0.0031844038 0.0033115733 0.0032588444 0.004551216 0.0028401162 0.0030458616 0.0027108788 0.003515251 0.003234031 0.0029889971 0.003144082 0.00501647 0.003414963 0.0032722852 0.0027946245 0.0037799287 0.0030045058 0.0030551667 0.003182336 0.004131454 0.0029972685 0.0031213362 0.0030148446 0.003645522 0.0028401162 0.0029269634 0.0030344888 0.004664945 0.0031213362 0.0038440304 0.002860794 0.0035586746 0.0031471835 0.0029900311 0.0031306413 0.004267928 0.0031513192 0.003333285 0.0031864718 0.0036527594 0.0032019801 0.0033363868 0.0033405223 0.0067130956 0.004058047 0.0037230644 0.0033415563 0.004119047 0.0032619461 0.0033053698 0.0032205903 0.0043268604 0.0033312172 0.0031120311 0.0030768786 0.0036506916 0.0029858956 0.0030727428 0.00279876 0.0042472505 0.003273319 0.0030985903 0.0030055395 0.003717895 0.0030282855 0.0029342007 0.002949709 0.0039763693 0.0031109971 0.002729489 0.0026416078 0.0035307594 0.002951777 0.0035824543 0.002889743 0.0049575376 0.0032381664 0.003394285 0.0029734888 0.0038026746 0.0030748108 0.0032019801 0.0029176583 0.0044374876 0.005448639 0.0034738951 0.0031409801 0.0037882 0.0030851497 0.0032423022 0.0031844038 0.0046101483 0.003312607 0.0034284038 0.0030479294 0.003736505 0.0030954888 0.0033157088 0.0032464378 0.00435064 0.0030355225 0.0031895733 0.0028680314 0.004010488 0.003091353 0.0042183013 0.0045077926 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09913921 0.061998256 0.062453397 0.055332154 0.060583122 0.059600346 0.05495054 0.054497987 0.06048992 0.053180195 0.052127518 0.05298861 0.056419007 0.05057931 0.05667221 0.053845048 4031.0 5.702555 22987.0 0.017227128 0.010397181 0.009353112 0.00870057 0.01344238 0.012441815 0.011876278 0.011397746 0.012572324 0.009788142 0.008526558 0.008570061 0.013920912 0.010614695 0.0117022665 0.010005656 0.016705094 0.011919781 0.008744073 0.007525993 0.009788142 0.008483056 0.00778701 0.008309044 0.01022317 0.008439553 0.009570627 0.008874581 0.011484752 0.008961587 0.00961413 0.009222604 0.01801018 0.010919215 0.010440684 0.00900509 0.010875712 0.008831078 0.010658198 0.008265541 0.014225432 0.0116152605 0.009744639 0.008918084 0.011441249 0.009309609 0.0116587635 0.00961413 0.014834472 0.009701136 0.010049158 0.008961587 0.012093792 0.009396615 0.009570627 0.009744639 0.0137469005 0.009179101 0.010484187 0.009527124 0.011180232 0.009788142 0.010440684 0.010658198 0.017923174 0.010962718 0.009701136 0.008222039 0.013050855 0.008222039 0.009396615 0.00839605 0.015443511 0.009353112 0.008874581 0.00870057 0.011310741 0.008048027 0.009875147 0.007917519 0.01313786 0.008004525 0.008657067 0.008831078 0.011528255 0.009440118 0.008265541 0.008004525 0.010875712 0.008918084 0.012093792 0.008526558 0.011354243 0.009048592 0.010005656 0.008831078 6.5546474 0.0 0.0 0.0 14.0 967214.0 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: 0.06299834 0.005376499 0.0041261506 0.004222331 0.0042944667 0.0038905079 0.0034336497 0.0033759414 0.004890787 0.0032364794 0.003327851 0.0033711323 0.0041501955 0.003308615 0.0031787711 0.004770561 0.004342557 0.0033951774 0.0032220522 0.00318358 0.0036741013 0.00447721 0.0029960277 0.0030104548 0.0034961672 0.0031547258 0.0029816006 0.0033374692 0.003327851 0.0030825904 0.0030873993 0.0029816006 0.0047320887 0.0029816006 0.003770282 0.0030970175 0.003616393 0.0037318098 0.0029190832 0.0029431283 0.0034384588 0.003193198 0.0030345 0.003193198 0.0033999865 0.0034240317 0.0032653336 0.0030345 0.0032509065 0.0030345 0.003592348 0.0039914977 0.0033807503 0.003601966 0.0031210626 0.003159535 0.0033903685 0.0037414278 0.0034384588 0.0038135634 0.0032316705 0.0034913581 0.0031354898 0.0034817401 0.007050043 0.0036837196 0.004809033 0.0034480768 0.0034721221 0.005794885 0.0035202124 0.0034865492 0.00333266 0.0033134238 0.0029238923 0.003193198 0.003298997 0.003919362 0.0032941878 0.0032316705 0.005078339 0.003327851 0.0033999865 0.00502544 0.0031162535 0.003621202 0.004573391 0.004573391 0.0033615143 0.0032845698 0.003159535 0.0041021053 0.0033567052 0.0036452473 0.003298997 0.0034865492 0.0031547258 0.004222331 0.0032124342 0.0037750911 0.0038760807 0.006602803 0.0039578346 0.003621202 0.004780179 0.004722471 0.0047320887 0.003173962 0.004645526 0.0033663232 0.0044243108 0.0045156823 0.0035346395 0.003024882 0.0048378874 0.0047320887 0.006530667 0.006636466 0.0035202124 0.0039722617 0.0037125738 0.0038327996 0.0030200728 0.0030825904 0.0032412885 0.004034779 0.0030777813 0.003173962 0.0051649017 0.004068442 0.0038231814 0.004616672 0.0035538755 0.0043617934 0.0030681633 0.0034336497 0.004135769 0.005011013 0.0037895183 0.006622039 0.0035105944 0.004207904 0.0033999865 0.0033470872 0.0035442575 0.0034240317 0.0031451078 0.0030825904 0.0034240317 0.0032316705 0.0033038058 0.0032028162 0.0033615143 0.003308615 0.0032364794 0.0031451078 0.0033470872 0.003173962 0.0031499169 0.0034047957 0.0034336497 0.0037029556 0.0031883891 0.0036933376 0.0031354898 0.003164344 0.0032028162 0.003323042 0.003770282 0.0033518963 0.0032268614 0.0033663232 0.0031883891 0.0030441182 0.003039309 0.0033038058 0.0033470872 0.0032941878 0.003173962 0.003169153 0.0033807503 0.003193198 0.0031306806 0.0034384588 0.0035490666 0.0033038058 0.0031066355 0.003452886 0.0036308202 0.0033134238 0.0034817401 0.0034144137 0.005198565 0.004020352 0.0036885284 0.0034865492 0.0032941878 0.0033759414 0.0031499169 0.0038808899 0.0037654731 0.0034865492 0.003298997 0.0033374692 0.0032605245 0.0033951774 0.0032941878 0.0030729722 0.003323042 0.0033663232 0.0034144137 0.0034913581 0.0034144137 0.0035442575 0.003626011 0.0032364794 0.0035442575 0.0035154033 0.0030200728 0.003298997 0.0037414278 0.0032749516 0.0036837196 0.0032268614 0.0038183725 0.0032316705 0.0033134238 0.00318358 0.0034240317 0.0031354898 0.0030633542 0.0033855594 0.00621808 0.0038905079 0.0031980071 0.0041309595 0.003755855 0.003443268 0.0034192228 0.003173962 0.0044050743 0.0031306806 0.0032316705 0.0032364794 0.0036404382 0.002895038 0.0035009761 0.0033134238 0.004188668 0.0035827297 0.0031162535 0.0034961672 0.0039578346 0.0032749516 0.0036933376 0.015441806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0062654703 7.493425e-05 0.00022963723 9.910659e-05 0.00033357827 0.0002489751 0.000640567 0.00063089805 0.00044477105 2.417234e-05 8.7020424e-05 5.3179145e-05 0.00012569617 3.1424042e-05 6.526532e-05 0.00054629485 0.00413347 2.417234e-05 0.0013198097 0.00031665765 0.001375406 0.0006985806 0.0044187037 0.0023277963 1.6920638e-05 1.6920638e-05 6.2848085e-05 1.6920638e-05 3.8675742e-05 1.9337871e-05 2.1755106e-05 4.3510212e-05 0.0054194382 0.00010635829 0.0014938506 0.00055112934 0.0014865989 0.0007420908 0.005931892 0.0031593246 0.00026589574 4.834468e-05 8.943766e-05 4.3510212e-05 7.7351484e-05 4.834468e-05 4.3510212e-05 0.00029490254 0.008999362 0.00033599552 0.0002707302 0.00029731978 0.0009258006 0.00059705676 0.0017186534 0.0011723584 0.0017718325 0.00044477105 0.00043268487 0.00038434018 0.00057288446 0.000485864 0.00046894338 0.00092338334 0.014324528 0.00048102954 0.0008170251 0.0009693108 0.00094513845 0.0006840772 0.0021295832 0.0023447168 0.0024945855 0.001766998 0.0018419322 0.0018346806 0.0021344176 0.0017404084 0.0017887531 0.003306776 0.018477336 0.0031907489 0.0011602723 0.0022141864 0.0049359915 0.0046338374 0.0027169709 0.0038216468 0.006483021 0.0017476601 0.0024244855 0.0021465037 0.0041286354 0.0026081954 0.0050181774 0.008549756 0.015625 0.0033865448 0.0022190206 0.0025163405 0.005622486 0.0053662593 0.0021779276 0.0038893293 0.00686011 0.0011215965 0.0017984221 0.0016678914 0.00367903 0.0020304765 0.0036838644 0.0076626316 0.04718682 0.046188507 0.046364963 0.047972426 0.046268273 0.047561493 0.04707563 0.046739634 0.047943417 0.04743338 0.046502747 0.047358446 0.046362545 0.047781464 0.046780728 0.04695477 1124.0 9.615659 10808.0 0.027849741 0.0044411547 0.018782383 0.00342339 0.0043486306 0.014896373 0.0041635823 0.005181347 0.0057364916 0.006291636 0.005088823 0.0040710587 0.0059215394 0.0059215394 0.008327165 0.005366395 0.006939304 0.004626203 0.008327165 0.0057364916 0.0059215394 0.004996299 0.0041635823 0.0043486306 0.005273871 0.0058290157 0.010825315 0.004903775 0.006569208 0.0077720205 0.0060140635 0.0055514434 0.005366395 0.014063656 0.006569208 0.009529978 0.011195411 0.011380459 0.009529978 0.008789785 0.004903775 0.010455218 0.003515914 0.0057364916 0.008789785 0.0074019246 0.0060140635 0.0071243523 0.011195411 0.004903775 0.00980755 0.01323094 0.0074019246 0.004626203 0.007586973 0.008327165 0.0044411547 0.005181347 0.0043486306 0.004996299 0.0059215394 0.0043486306 0.003515914 0.0067542563 0.0045336788 0.027294597 0.009900074 0.017949667 0.01868986 0.0642117 0.01619171 0.0116580315 0.009159882 0.03330866 0.004903775 0.006476684 0.028867505 0.013508513 0.026739452 0.03173575 0.012675796 0.0060140635 0.033863805 0.03404885 0.03997039 0.01572909 0.006661732 0.013138416 0.010640266 0.010455218 0.0045336788 0.0056439675 0.005181347 0.0040710587 0.00342339 0.0042561064 6.1585493 0.0 1.0 7.0 2.0 207942.0 233472.0 0.0 0.0 161.0 0.0 1.0 0.0 0.0 0.0 1399838700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3230257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.798484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.442133 0.0 6.0612845 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 0.0 4638.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25026.0 0.0 16592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 33712.0 16592.0 212992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 676.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.200993 0.009255211 0.01297446 0.0020064248 0.008226252 0.0007723968 0.0024924476 0.0007958849 0.0022620838 0.0013225601 0.012893154 0.00082660007 0.00092145585 0.0014345803 0.00091874565 0.001694756 0.0006648936 0.0014138023 0.0010659979 0.0023759105 0.00062424113 0.00067031395 0.0026568642 0.0014887835 0.001122008 0.0023126735 0.0005474532 0.00042097885 0.0010650945 0.00040923478 0.00046976178 0.002614405 0.01927288 0.00067483087 0.0008455712 0.0004706652 0.00026649947 0.0026713186 0.0009503642 0.00038032638 0.0029866009 0.00039116704 0.0021455467 0.00035774166 0.0010976165 0.00042459238 0.0019133759 0.0009593981 0.00092687615 0.0007904646 0.000633275 0.0030922974 0.00064863265 0.00043723983 0.0004706652 0.0003866501 0.0018654964 0.0004616313 0.0003649688 0.0004381432 0.0018429117 0.0011147809 0.0013053957 0.0006883817 0.0008103391 0.0017281814 0.001170791 0.0023587462 0.002462636 0.0008383441 0.00085189496 0.00060978695 0.0005366125 0.0010768386 0.00042007546 0.0005998497 0.0019847436 0.0005736514 0.0009033881 0.0008708661 0.0013550821 0.0003107655 0.0014138023 0.0019440912 0.0036252963 0.0005149312 0.000863639 0.0010858724 0.0007895612 0.00094042695 0.00079136796 0.0003333502 0.0008482814 0.00022584702 0.00064050214 0.0024599256 0.00031166887 0.0054338793 0.0019196996 0.0027372658 0.0031483073 0.01248663 0.0025285832 0.0020326232 0.0016513934 0.0055395756 0.00023849445 0.0018510422 0.005021031 0.0029784704 0.0047202026 0.012519152 0.0055603534 0.0002565622 0.008398799 0.006387857 0.0065360125 0.0023343547 0.0007118698 0.000786851 0.0010461233 0.0018835642 0.00048150585 0.0071430895 0.00028456724 0.000819373 0.0010090845 0.00033696374 0.00071006303 0.0007570392 0.00030624855 0.00057184463 0.0005086075 0.00069289864 0.00023849445 0.0005673277 0.00045621098 0.00024391478 0.00018067761 0.00014815564 0.00024572155 0.00017616067 0.00016983696 0.00021319959 0.00020145554 0.0002113928 0.0005203515 0.00014996242 0.00013370144 0.00020055215 0.00045169404 0.000118343836 0.00017977423 0.00021410297 0.00014996242 0.0001355082 0.00017796745 0.0002872774 0.00014002515 0.00016893356 0.00023217073 0.0009368134 0.0015791224 0.0003252197 0.00021861991 0.001787805 0.00016983696 0.0003252197 0.00026649947 0.0005781684 0.0004941533 0.00024662493 0.00025204528 0.00026830626 0.00032070276 0.0007633629 0.00031618582 0.00030624855 0.0010930996 0.00027553336 0.00032160615 0.00029992484 0.00033154342 0.0004101382 0.0005474532 0.0021654211 0.00035412813 0.0002646927 0.00034148069 0.00027011303 0.00029721466 0.0017010798 0.00032702647 0.00041375172 0.0002646927 0.00034148069 0.001743539 0.00016893356 0.0001662234 0.00023578429 0.00032973665 0.000181581 0.0014119955 0.00029269775 0.0031907666 0.00019693859 0.0002800503 0.00019784199 0.000242108 0.00021590975 0.0003622586 0.00014996242 0.00025927238 0.0001888081 0.00016532002 0.000484216 0.0003333502 0.0001671268 0.00019151827 0.00013099128 0.00020235893 0.00019332505 0.00024572155 0.0009982438 0.00021771653 0.00095217105 0.00076155615 0.00023759106 0.00019603521 0.00016260985 0.00015989969 0.00041465514 0.00019151827 0.00035503152 0.00047879567 0.0004553076 0.00060978695 0.00066308683 0.00041555852 0.00087899657 0.0009033881 0.0012475789 0.0007498121 0.0005429362 0.0004101382 0.0007949815 0.0029107165 0.0007200003 0.0010027607 0.0005212549 0.001739022 0.0007814307 0.0016613307 0.001492397 0.0018501388 0.45753714 0.0018265336 0.0 9.042245e-07 0.0 4.5211226e-07 0.0 1.808449e-06 0.0 1.808449e-06 0.0 0.0 1.808449e-06 3.3004195e-05 6.781684e-06 1.6276043e-05 0.07866618 0.0011483652 4.5211226e-07 4.0690106e-06 1.3111256e-05 6.781684e-06 2.7126737e-06 0.00020706742 1.3563368e-06 3.616898e-06 5.8774594e-06 0.000100368925 1.1302806e-05 0.00023464627 1.2207031e-05 1.8536603e-05 0.013044343 0.0049845376 4.566334e-05 6.826895e-05 4.79239e-05 4.8376012e-05 1.763238e-05 0.00068766274 3.978588e-05 1.2207031e-05 1.1302806e-05 0.00022696036 7.459852e-05 0.00028483072 4.5211225e-05 0.00045844185 0.025354004 0.0055808737 0.0005339446 0.00015959563 0.0001586914 0.00017587167 0.00011935764 0.000265842 2.4866174e-05 5.1088686e-05 3.2552085e-05 0.00030834056 0.000382487 0.00064471207 6.23915e-05 0.0012708876 0.035598867 0.010230397 0.0024445711 0.00031647857 0.0005796079 0.00048149956 0.00062798394 0.00074643735 0.00018265336 0.00013699001 0.00012794777 0.0005868417 0.0030861183 0.0014865452 0.00030608 0.00047788266 0.07447826 0.052259207 0.0013165509 0.00030427155 0.0026204428 0.0025105795 0.002931948 0.0016655816 0.00031964338 0.00067907263 0.00024820963 0.0003797743 0.0018513998 0.002464916 0.00041051794 0.00060221355 0.1590653 0.022615109 0.0018749096 0.0019911025 0.00053032767 0.0011198821 0.00092276116 0.002006022 0.0016741718 0.00087212457 0.0002468533 0.002396195 0.0010000723 0.0012292933 0.001006402 0.00089744286 0.07165437 0.024653682 0.0004385489 0.011286982 0.0021638093 0.0039532697 0.0032113534 0.025110768 0.01047951 0.00021656178 0.00029929832 0.00046251086 0.00011709708 0.0004570855 0.0004240813 0.00028618707 0.010883698 0.05182382 0.0025277596 0.009592466 0.0023907698 0.0039876304 0.0028962311 0.018586336 0.011122414 0.00048059534 0.00027714483 0.00033953632 0.0002685547 0.00032552084 0.00018853082 0.00022560402 0.0014485677 0.05108778 0.005622468 0.005842195 0.0030449762 0.0023713289 0.0041978625 0.0085001625 0.011286982 0.0013160988 0.0006736473 0.0008748372 0.0008373119 0.00074191624 0.0004796911 0.00054027414 0.0007306134 0.021312572 0.0025042498 0.003217683 0.0017623337 0.0013029876 0.0012993707 0.0034129955 0.004289189 0.0011483652 0.0006388346 0.001099085 0.0006374783 0.0006854022 0.000531684 0.00097475405 0.0014793114 0.005820493 0.0011976454 0.001409686 0.00078396266 0.000499132 0.00049596716 0.0016850224 0.0019187644 0.00046703196 0.00015371817 0.0007016782 0.00016863788 0.00024866176 0.0001324689 0.00055067276 0.0013590495 0.0032610858 0.00076859083 0.0008074725 0.00036982785 0.00032235603 0.000515408 0.00061080366 0.0012880679 0.00020118996 0.00015417028 0.0006370262 0.00020480686 0.00025996455 0.000265842 0.00017406323 0.00034450955 0.00062843604 4.79239e-05 0.00014286747 0.00013789424 0.00018536604 0.00011348018 0.00043176723 0.00026991102 3.526476e-05 6.0583043e-05 6.600839e-05 5.1088686e-05 5.967882e-05 5.8774596e-05 4.566334e-05 0.00044307002 0.00065782334 0.00010172526 0.00015326605 0.00017858435 0.00013518157 0.00014964916 0.00034179687 0.0002540871 8.680556e-05 8.590133e-05 8.725767e-05 9.539569e-05 0.000100368925 0.00010082104 9.94647e-05 0.00014964916 0.0015647606 0.00049551507 0.00046567564 0.0006745515 0.0007003219 0.0006510417 0.00082284433 0.0007821542 0.00047743056 0.00042543764 0.0005027488 0.00051450374 0.00049144606 0.0005013925 0.00051359955 0.00060176145 3062.0 23.791965 72851.0 0.20598207 0.00021962637 0.0024982498 0.0018530975 4.117994e-05 4.117994e-05 0.00013726647 8.235988e-05 0.00020589972 0.00015099312 0.00016471976 0.00017844641 0.0034591153 0.00027453294 0.008688968 0.0068221437 0.004488614 0.0043788007 0.0030884957 0.0064240713 0.0023198035 0.0025943364 0.0017432843 0.001908004 0.0011530383 0.0020727238 0.0011118584 9.6086536e-05 0.015085585 0.0033218488 0.015291485 9.6086536e-05 4.117994e-05 0.0078104623 0.00704177 0.012024543 0.0066848774 0.0024158899 0.006122085 0.002800236 0.001674651 0.0038709147 9.6086536e-05 0.0015648379 0.0039532743 0.0025806096 0.0044199806 0.0012628515 0.006767237 0.0005627925 0.006273078 0.011214671 0.0077418294 0.0010020452 0.0026355162 0.0031296758 0.0004255261 8.235988e-05 0.0004941593 0.00021962637 0.0002608063 0.00034316618 0.00021962637 0.016115084 0.00013726647 0.042813413 0.0130952215 0.019752646 0.026259076 0.08484441 0.0068084174 0.017721102 0.009992999 0.0395602 0.00035689282 0.010610699 0.03702077 0.019395754 0.03607363 0.03836598 0.012957956 0.00074123894 0.035963815 0.02878478 0.05649888 0.017405389 0.0031022225 0.005023953 0.0073300297 0.00986946 0.0014275713 5.490659e-05 2.7453296e-05 6.8633235e-05 6.8633235e-05 4.117994e-05 4.914557 2.0 2.0 0.0 2.0 1106944.0 1130496.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541631500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1004544.0 512.0 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 -1004544.0 0.0 101376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.036455 0.0 1.8112167 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 -1004056.0 0.0 101312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1012120.0 101312.0 1015808.0 0.0 0.0 0.0 0.0 12.0 1122304.0 28.0 1011808.0 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: 0.06762385 0.006106414 0.0041860673 0.0046793455 0.0050958735 0.0043867365 0.004279606 0.0035576776 0.0053668963 0.003227493 0.0031907172 0.003414571 0.0053740917 0.0045258454 0.003045212 0.009454628 0.010311669 0.007989984 0.002790978 0.0027949754 0.0037535497 0.0046545616 0.0028437437 0.0027813844 0.0038622788 0.0028533374 0.0027254208 0.0027861812 0.0033785945 0.0034249641 0.0028445432 0.0029980429 0.0041892654 0.0027861812 0.0028717252 0.0029660638 0.004264416 0.0034945188 0.0028221577 0.0028989075 0.003357808 0.0027454079 0.0029940454 0.0034233653 0.0032163004 0.0030308214 0.0027829832 0.0027837828 0.0035856592 0.0029053034 0.002763796 0.0045586242 0.0033290267 0.0032962481 0.0027901786 0.0027142281 0.003449748 0.0033546102 0.0028301524 0.0033985814 0.003213902 0.0035696698 0.0027502046 0.0028269545 0.0045274445 0.0040261718 0.0040085833 0.003929435 0.004419515 0.0056810915 0.004600197 0.005066293 0.0037079793 0.0030388162 0.0028613321 0.00297166 0.003486524 0.003624034 0.0030260247 0.002978056 0.0045394367 0.0030971782 0.0042548226 0.0038071147 0.003762344 0.0037783335 0.0033170346 0.0031779255 0.00327786 0.0032634696 0.0027486058 0.0028221577 0.003289053 0.0034785292 0.003050009 0.0030596026 0.0035792633 0.0030995766 0.002682249 0.0031379515 0.0034841255 0.003638425 0.0037999195 0.002852538 0.015557844 0.005155035 0.003342618 0.0028045692 0.0033330242 0.0031483448 0.003307441 0.0034153704 0.0036288311 0.0029476758 0.003319433 0.0034625398 0.0043171817 0.0042060544 0.002774189 0.002817361 0.0032986465 0.0029420794 0.0029053034 0.002882918 0.003267467 0.003299446 0.003081988 0.002973259 0.005342113 0.0036791982 0.0029093008 0.00542286 0.0052046026 0.0070162197 0.0031379515 0.002862931 0.0040661455 0.0059489165 0.003046811 0.010872902 0.0032330893 0.00537729 0.0028205588 0.0028421446 0.003342618 0.0026094965 0.0026078976 0.002790978 0.0030556053 0.0031363526 0.002717426 0.0027861812 0.0033737975 0.0027717906 0.0027645952 0.0028885144 0.0031115687 0.00295647 0.0028397462 0.00294128 0.0036656072 0.004287601 0.002991647 0.00464177 0.003195514 0.0028357487 0.002670257 0.0027438088 0.0035209015 0.0028485404 0.0028013713 0.0028213582 0.0033106387 0.0028021708 0.0028101655 0.0029148972 0.003656813 0.002918095 0.002628684 0.0028269545 0.0032362873 0.0030643996 0.0037855287 0.002996444 0.0062886947 0.0032019098 0.0028541368 0.0028485404 0.0032730633 0.0030731938 0.003238686 0.0029572695 0.0050391103 0.0047864756 0.0032115036 0.0050838813 0.003481727 0.0027014364 0.003613641 0.0064989575 0.003958216 0.0030859855 0.0030292226 0.0029228919 0.0045586242 0.0027294182 0.0030124334 0.003011634 0.0037711381 0.0030012408 0.0028421446 0.0028517384 0.0032059073 0.002682249 0.002859733 0.0028837174 0.00364562 0.0028261552 0.0027805849 0.0028581342 0.0035233 0.002953272 0.0028469416 0.0028333503 0.004100523 0.0029612668 0.002829353 0.0029372824 0.0036576123 0.002988449 0.002827754 0.0027078323 0.0053836857 0.0049823476 0.0027917775 0.0029828527 0.0038902604 0.002723822 0.0028517384 0.0029740585 0.0042244424 0.0028341499 0.0027190251 0.0032178992 0.0037383595 0.0031107692 0.0033921856 0.0030923814 0.004163682 0.003210704 0.0031275584 0.0035672714 0.0040429607 0.0036024484 0.003971807 0.023702128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030233415 0.00011726755 0.00022853163 0.00018450628 0.0004786757 0.00017890305 0.00073202164 0.000524302 0.0006279617 8.524911e-05 0.00010766201 0.00013567816 0.00019090997 0.00020171619 0.00046106556 0.0009189293 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.005499568 0.00076323963 0.00052870455 0.00077844836 0.0013095543 0.0012207031 0.0008689005 0.0011150423 0.0028092181 0.00034139663 0.00031378074 0.00055792136 0.0013952036 0.0005010886 0.0014080111 0.002720367 0.04293553 0.014003266 0.0069892257 0.0075423443 0.012711722 0.00975682 0.013653064 0.0070404555 0.01958168 0.0054523405 0.007525535 0.008373223 0.012110976 0.0059102043 0.008303583 0.018110031 0.0658031 0.047218397 0.04140585 0.041954167 0.045152407 0.042194705 0.046465162 0.040511735 0.049644995 0.04024598 0.04225674 0.042975154 0.04579878 0.04110808 0.042333983 0.04788158 4547.0 7.035188 31989.0 0.018944012 0.0068148426 0.008502923 0.0063459314 0.00797149 0.007252493 0.0066585387 0.008409141 0.0075963615 0.0074400576 0.0070649288 0.0076901433 0.0064397138 0.0075651007 0.008471662 0.007627622 0.009440745 0.008034011 0.00712745 0.008252837 0.007408797 0.007502579 0.0067210603 0.0067210603 0.007877708 0.00837788 0.00797149 0.008065272 0.007221232 0.0075963615 0.0076901433 0.007377536 0.009190659 0.009315702 0.008721748 0.010034699 0.009534528 0.008627966 0.011222607 0.00878427 0.00922192 0.00837788 0.007408797 0.006908625 0.008846791 0.008221576 0.007502579 0.008846791 0.010159742 0.00837788 0.007908968 0.010253524 0.009409484 0.007815187 0.009065616 0.009284441 0.008909313 0.008596705 0.008815531 0.0068148426 0.009972178 0.007002407 0.007221232 0.010753697 0.009534528 0.018600143 0.008315358 0.015161462 0.014598768 0.033386476 0.00962831 0.011472694 0.022445215 0.027540717 0.008346619 0.0071899714 0.016005501 0.017099628 0.020850917 0.026133984 0.014630029 0.013066992 0.02307043 0.02557129 0.024852293 0.012691863 0.008252837 0.008284098 0.009346963 0.010097221 0.008284098 0.0075651007 0.009722092 0.0075651007 0.007721404 0.0076588825 6.4415226 0.0 2.0 0.0 15.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9941926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0