Input: 0.02340233 0.004773379 0.004067537 0.0041650874 0.004727602 0.0038226612 0.0037411025 0.0038324562 0.004956486 0.0036195642 0.0035899791 0.0036801335 0.004224058 0.003615966 0.003558795 0.0046380474 0.0039066183 0.0035324083 0.0034098704 0.0034980257 0.003781482 0.0036421528 0.003631758 0.0036183647 0.0036147665 0.0035240126 0.0035138177 0.0035945768 0.0037940757 0.0035008243 0.0036043718 0.0037758849 0.0035987748 0.003339706 0.0034076716 0.0034914291 0.0036391541 0.0034652425 0.003393079 0.0035366062 0.0035334078 0.0034572466 0.003394878 0.003888028 0.003547201 0.0035420035 0.0034942278 0.0036605434 0.0033866824 0.0034506498 0.0034730386 0.004274032 0.0035955764 0.003476037 0.0035294099 0.003578385 0.003615966 0.0037624917 0.0034998248 0.0040567424 0.0037672892 0.003649349 0.0037339062 0.003842851 0.0036361557 0.00348943 0.003938802 0.0038174638 0.0036263608 0.005005461 0.0040705353 0.0044983183 0.0040619397 0.0035210142 0.0035521984 0.0035436028 0.0034668415 0.004272433 0.0036545463 0.0036963252 0.00445634 0.0038530456 0.003613967 0.0038824307 0.0035787849 0.0041075167 0.0041628885 0.0040153633 0.003584782 0.0040863273 0.003515617 0.0037405028 0.0035583952 0.0040441486 0.0039036202 0.0040213605 0.0033698909 0.0036523475 0.0035893794 0.0036777346 0.003708319 0.004068536 0.0038968236 0.003649149 0.0040019704 0.0038132658 0.0041059176 0.0035326083 0.003781282 0.003633757 0.0036873298 0.0039557936 0.0036047716 0.0035438025 0.0038728358 0.0037962745 0.004857736 0.005003462 0.0036291592 0.0036837317 0.003907818 0.0037005232 0.0035284103 0.0036359557 0.0038974232 0.0040781316 0.0038672385 0.003858643 0.003478036 0.0036189645 0.0033155184 0.0051629813 0.0037564947 0.0048039635 0.0036689392 0.0037177145 0.0035454019 0.005269727 0.0035987748 0.008650213 0.0035294099 0.005218353 0.003704521 0.0037672892 0.0034930282 0.0035066213 0.0033582966 0.003572188 0.0035044225 0.0036313583 0.0034538482 0.0035480005 0.0034252626 0.003434458 0.0034668415 0.0035825828 0.003503423 0.0035837824 0.0036853307 0.0037830812 0.0033854828 0.003680733 0.0034810344 0.0036005739 0.0034688406 0.0037161151 0.0034098704 0.0035819833 0.003541004 0.003517416 0.0034272617 0.003702722 0.0036773349 0.0036075702 0.0034558473 0.0036803333 0.0035497996 0.003556796 0.003515617 0.0035817833 0.003637555 0.0037173147 0.0038162644 0.0036343567 0.0037447007 0.0034552475 0.0035222135 0.0036219629 0.003791477 0.0036735367 0.003874235 0.0039577927 0.0045574885 0.0038114667 0.00382466 0.0041438984 0.0039190124 0.0036427523 0.00392401 0.004165887 0.0038550447 0.0036939264 0.0036047716 0.003700923 0.004736398 0.0035995743 0.0036939264 0.003909217 0.003852446 0.003676735 0.00362776 0.003619764 0.003631558 0.00356879 0.0035334078 0.0036077702 0.0037335064 0.0035943768 0.0035739872 0.0036387544 0.0035128184 0.0035236129 0.003783681 0.0038452498 0.0037738858 0.0037041213 0.003629959 0.0036941264 0.0036913278 0.0037097184 0.003558995 0.0036845312 0.005885815 0.0039983722 0.0034674413 0.0040861275 0.0041191108 0.0035478005 0.0035064216 0.0038530456 0.0042636376 0.0039106165 0.003675136 0.0038162644 0.003937603 0.0036207635 0.003838853 0.0038944248 0.0043777796 0.0039821803 0.0039467984 0.0040051686 0.0045219064 0.0040529445 0.0045480933 0.011660086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010632414 1.6296037e-05 1.2696913e-05 1.2696913e-05 1.089735e-05 4.428923e-05 1.3596693e-05 1.0097544e-05 1.0097544e-05 4.3989303e-06 4.9987843e-06 4.498906e-06 6.898322e-06 4.3989303e-06 4.8988086e-06 4.498906e-06 0.00032742036 8.297982e-06 1.0797374e-05 3.2991977e-06 1.159718e-05 9.397714e-06 8.397958e-06 7.398201e-06 3.2991977e-06 3.3991732e-06 3.5991247e-06 1.599611e-06 1.3996596e-06 2.2994407e-06 2.3994164e-06 4.8988086e-06 0.0007448189 1.5096329e-05 1.4396499e-05 4.698857e-06 9.1677706e-05 7.2982252e-06 1.089735e-05 7.398201e-06 9.397714e-06 2.8992949e-05 1.4896377e-05 4.5988813e-06 4.198979e-06 4.498906e-06 1.2996839e-05 4.7888352e-05 0.0025895701 5.8585752e-05 7.0782786e-05 4.5288987e-05 0.00030162666 3.8390663e-05 7.518171e-05 5.288714e-05 3.9290444e-05 4.618877e-05 3.339188e-05 2.0794943e-05 4.618877e-05 5.888568e-05 4.9088063e-05 0.00036411145 0.0014329515 2.7693264e-05 8.297982e-05 2.9592804e-05 0.00017665703 3.729093e-05 0.00035411387 0.00019235323 3.499149e-05 1.9795185e-05 2.4294091e-05 1.829555e-05 2.479397e-05 2.0095113e-05 2.6693508e-05 0.0001591613 0.0014626443 3.129239e-05 9.6576514e-05 5.7785946e-05 0.00034231675 0.00017425763 0.0008231998 0.00041179985 4.1090007e-05 1.9495259e-05 3.099246e-05 2.039504e-05 3.6091224e-05 2.7293363e-05 4.218974e-05 6.808344e-05 0.0012217029 5.308709e-05 0.00011207275 5.0187795e-05 0.0002936286 0.00011007323 0.00056266313 0.00025683755 4.5588913e-05 4.288957e-05 8.607907e-05 5.4986627e-05 3.599125e-05 3.3691806e-05 3.599125e-05 7.578157e-05 0.0016478993 7.338215e-05 0.00011177282 6.90832e-05 0.00056606234 0.000103674785 0.000439993 0.00023884191 9.957578e-05 5.8585752e-05 0.00028832987 0.00016785918 0.00012406983 6.3884465e-05 7.188252e-05 0.00017485747 0.0021979655 0.00020295064 0.00021954661 0.00018845417 0.00047908348 0.00031202412 0.0003902051 0.0003676106 0.00091557734 0.00017605718 0.00019185334 0.00024983924 0.00031932234 0.00016615959 0.00033231918 0.0012762896 0.014198347 0.0020009135 0.0012975844 0.0019749198 0.003993429 0.0045661894 0.001525629 0.003117042 0.009735732 0.0007982059 0.0009079792 0.0013676673 0.004912605 0.0013051826 0.003626418 0.0081447195 0.004625775 0.00090388017 0.0005749602 0.00092357537 0.0015837149 0.0016361021 0.00072972255 0.0013371748 0.003236713 0.00032322138 0.00039250453 0.0005945554 0.0018140589 0.00070142944 0.0013729661 0.0030006703 0.05284245 0.05455783 0.05379012 0.055339243 0.054004565 0.0550896 0.055190478 0.056468867 0.05464411 0.05501602 0.054955333 0.056146447 0.05546541 0.055938795 0.0563352 0.058736414 21451.0 6.187637 132731.0 0.013026346 0.008332643 0.008611402 0.008792219 0.0092291925 0.008890161 0.0085888 0.009364805 0.008995638 0.009040842 0.009010706 0.009101114 0.009289465 0.0096887695 0.010969555 0.009831916 0.008181962 0.00905591 0.009221659 0.009440145 0.008844957 0.008807287 0.009236727 0.008792219 0.008181962 0.009967528 0.009138784 0.009387407 0.009809313 0.009266863 0.00991479 0.010555183 0.01120311 0.010110675 0.009929858 0.010540115 0.010118209 0.00952302 0.010163413 0.010178481 0.00956069 0.009944926 0.008731946 0.009146319 0.009929858 0.010110675 0.009327135 0.009658633 0.010653125 0.009605895 0.009771643 0.0113311885 0.009944926 0.009982596 0.010931885 0.011007225 0.008618936 0.00959836 0.009191522 0.009658633 0.008935366 0.008852491 0.0098469835 0.011722959 0.008641538 0.01499273 0.01116544 0.012363352 0.012325681 0.020756267 0.009809313 0.011655152 0.011188042 0.015979689 0.009899722 0.009620963 0.013719478 0.010630524 0.016492002 0.015700929 0.01245376 0.009063444 0.015557783 0.014005771 0.019264527 0.012837996 0.009831916 0.009281931 0.010223686 0.009711371 0.009402475 0.00944768 0.009568225 0.009319602 0.008897696 0.0097942455 6.5561047 0.0 0.0 0.0 75.0 5002536.0 71938050.0 1.0 0.0 303.0 0.0 1.0 0.0 0.0 0.0 1457593100.0 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 10.0 0.0 5.0 1.0 5.0 1.0 454656.0 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 94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -454656.0 0.0 71346690.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.875487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3292923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6005235 0.0 7.998742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -454567.0 0.0 71346580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 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 -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 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -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 -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 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 1.0 2.0 -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 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 0.0 300.0 546256.0 71346580.0 589824.0 0.0 0.0 5536.0 71907840.0 0.0 0.0 28.0 460176.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 518528.0 0.0 0.0 1268.0 458752.0 0.0 0.0 0.0 0.0


Input: 0.109197535 0.0044218143 0.008370707 0.0030503424 0.0033892693 0.0027192975 0.0027350616 0.0031449266 0.0029872863 0.003215865 0.0024513088 0.0027429436 0.0027035335 0.002514365 0.0026562414 0.0030109324 0.0033656233 0.0028217637 0.0027823537 0.0030266964 0.003184337 0.0031291626 0.0030188144 0.0031528089 0.0031449266 0.0029084662 0.0030030503 0.003223747 0.0027981177 0.0035074998 0.0029399942 0.003554792 0.0049026175 0.0049183816 0.00432723 0.0035390279 0.0034917358 0.0033419773 0.0033419773 0.002869056 0.0029951683 0.0028927021 0.002545893 0.008291887 0.003176455 0.0040040673 0.003255275 0.003247393 0.005052376 0.0052573085 0.005115432 0.005470123 0.006077039 0.00428782 0.004311466 0.0041774716 0.0038937188 0.003933129 0.0038779548 0.0041932357 0.0042247637 0.00424841 0.0037912526 0.0041301795 0.0053361286 0.00580905 0.005115432 0.004689803 0.0058169323 0.004335112 0.004587337 0.0054464773 0.003996185 0.0044218143 0.0041538253 0.0040355953 0.0041695894 0.0040828874 0.0040355953 0.0036730221 0.004011949 0.0030109324 0.0030030503 0.0033892693 0.0033577413 0.0029084662 0.003594202 0.008394353 0.0031370446 0.0029005841 0.0029163482 0.0031528089 0.008126365 0.0029399942 0.0029557582 0.0030266964 0.0029399942 0.008883039 0.008086954 0.0033104492 0.0035232638 0.009497836 0.003223747 0.003263157 0.003263157 0.0033498593 0.008165775 0.0029478762 0.0037124322 0.0025931853 0.0030188144 0.0037045502 0.0029951683 0.0029005841 0.0040828874 0.0036809042 0.0035390279 0.0031528089 0.0029005841 0.00288482 0.0027429436 0.0026720054 0.0024986009 0.0024828368 0.002514365 0.008417999 0.0033656233 0.0038385447 0.0029242302 0.0031449266 0.0027823537 0.0030661065 0.0027587076 0.003239511 0.0076613254 0.0027665896 0.0029872863 0.0027429436 0.0026641234 0.0038306627 0.0023094325 0.0029872863 0.0024591908 0.0026168313 0.002514365 0.002530129 0.0026877695 0.002522247 0.0026325954 0.0026877695 0.0025695392 0.0027429436 0.0023882526 0.0026798875 0.0026404774 0.0026247134 0.0023961347 0.0025064829 0.0077637914 0.002538011 0.0077401455 0.0024670728 0.0024355447 0.0026168313 0.002514365 0.002151792 0.002230612 0.0020966178 0.0024434268 0.0026562414 0.0027508256 0.007519449 0.0026010673 0.0022779044 0.0024197807 0.0030582245 0.0030266964 0.0024591908 0.0027035335 0.0026720054 0.002545893 0.0026325954 0.007637679 0.0025853033 0.0025537752 0.002514365 0.0022542584 0.008055426 0.0029163482 0.0024670728 0.0029872863 0.002522247 0.0029242302 0.0026247134 0.0029557582 0.007550977 0.0026247134 0.0024434268 0.0024670728 0.0024513088 0.0026247134 0.0025774213 0.0023724886 0.0026010673 0.0028454098 0.002230612 0.0022857864 0.0025853033 0.0028296458 0.0024907188 0.003200101 0.002530129 0.0026404774 0.0023724886 0.0025537752 0.007188404 0.0026247134 0.002853292 0.0024040167 0.0026877695 0.0028454098 0.008299769 0.0034207974 0.0028454098 0.0030188144 0.002514365 0.0028927021 0.0024828368 0.002853292 0.0027823537 0.0026956515 0.0025064829 0.0033183312 0.0027744716 0.0039016008 0.0027114155 0.0029951683 0.0027508256 0.0025853033 0.0026325954 0.0025931853 0.007826848 0.0027665896 0.0024513088 0.002861174 0.0025695392 0.0026720054 0.0028927021 0.0030503424 0.0024434268 0.0024197807 0.0026404774 0.0027035335 0.0024434268 0.0025853033 0.005091786 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1805.0 6.3977838 11548.0 0.012123311 0.018877728 0.00510911 0.0032906132 0.0047627296 0.004329754 0.0037235885 0.0044163493 0.0036369935 0.0035503984 0.0027710425 0.04979217 0.0036369935 0.0048493245 0.004069969 0.0038101836 0.01619328 0.016453065 0.017492207 0.019137513 0.017232422 0.009352269 0.011950121 0.009005888 0.008746103 0.008832699 0.011170765 0.009179079 0.009265673 0.01021822 0.010304815 0.011517146 0.011257361 0.01740561 0.01021822 0.014028403 0.017059231 0.010997576 0.012296502 0.02182196 0.010651195 0.012902667 0.008659508 0.011603741 0.010824385 0.011170765 0.012469692 0.009698649 0.013075857 0.0039833738 0.0045895395 0.0069276066 0.0038967787 0.0030308277 0.005368895 0.050051957 0.0058884653 0.0044163493 0.0038101836 0.0046761343 0.047454104 0.0048493245 0.0045895395 0.0050225146 0.0039833738 0.008746103 0.00493592 0.007447177 0.008313128 0.017059231 0.0050225146 0.0056286803 0.0059750606 0.0101316245 0.04702113 0.0048493245 0.011690336 0.0058018705 0.007880152 0.010478005 0.004502944 0.0045895395 0.012469692 0.0079667475 0.012296502 0.0050225146 0.004069969 0.0050225146 0.0038101836 0.0046761343 0.0026844474 0.0023380672 0.0034638033 0.04702113 0.004069969 0.007533772 6.1364536 0.0 0.0 0.0 4.0 126871.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.24748752 0.0062060836 0.0045534396 0.0037860577 0.0047845785 0.0029909394 0.002279031 0.0019831732 0.005639793 0.0018491125 0.0023044564 0.0018976516 0.004558062 0.0019993528 0.0012504623 0.006090514 0.003970969 0.0012181028 0.0015185836 0.0011325814 0.0022651628 0.0016942492 0.0050203404 0.0010031435 0.0019785503 0.0012458395 0.0009083765 0.0010817308 0.0015994823 0.0010008321 0.0010262574 0.0013244267 0.011478365 0.0010331916 0.0015116495 0.0011464497 0.0027921598 0.0010817308 0.00081823225 0.0010008321 0.0018837833 0.0010008321 0.0009777182 0.00182831 0.0012805103 0.0018236871 0.0010678624 0.0007627589 0.0033399593 0.0015717456 0.0016595784 0.004296875 0.0016988721 0.0014330621 0.0012296598 0.001160318 0.0017196746 0.0019369452 0.0013313609 0.0025795118 0.0016295303 0.001414571 0.0013845229 0.00147929 0.007403384 0.009294101 0.01542622 0.0056790863 0.0027505548 0.005646727 0.002248983 0.0016595784 0.0021865754 0.0015809911 0.0012088573 0.00096384983 0.0017474112 0.0031642937 0.0015879252 0.0011580066 0.0047314162 0.0018259985 0.0015347633 0.0023529956 0.001740477 0.0026580992 0.0028869268 0.0060211723 0.0013590977 0.0031157543 0.001035503 0.0014631102 0.0011325814 0.0028383876 0.0021334135 0.0019785503 0.0013544748 0.0030510356 0.0013359837 0.0019877958 0.0027066383 0.0053716716 0.0042691384 0.0037190274 0.0062245745 0.0024593195 0.0037375186 0.0009985208 0.002218935 0.0014654216 0.0026557876 0.002829142 0.0019369452 0.0007766272 0.0032590607 0.0031319342 0.0073294193 0.006409486 0.0014538646 0.0011880547 0.0016364645 0.0013475406 0.0009592271 0.0008321006 0.0012365939 0.0020455807 0.001444619 0.0014353736 0.0024546967 0.0017589682 0.0013059357 0.006379438 0.0019461908 0.006245377 0.0009730954 0.00096384983 0.0018005732 0.0058686207 0.0014053255 0.017014146 0.0010054549 0.005309264 0.0008321006 0.0009060651 0.0017612795 0.00080898666 0.00078125 0.00086677144 0.0010100777 0.0009892752 0.00067954883 0.0006841716 0.0010794194 0.00086677144 0.0007581361 0.00073733355 0.00093380176 0.0007627589 0.00072346523 0.0010863536 0.0012111686 0.0013244267 0.0010054549 0.0010979105 0.000929179 0.0008321006 0.00075120194 0.003994083 0.0011996117 0.0008829512 0.0007142197 0.000834412 0.0010077662 0.0006911058 0.00075120194 0.00067261467 0.0012504623 0.0006286982 0.00079280697 0.0006471893 0.0012342825 0.0008783284 0.0017058062 0.001426128 0.0015578772 0.00084365753 0.000982341 0.0007766272 0.00095691567 0.0009361132 0.00091531064 0.00076044747 0.0052699703 0.0028014053 0.0019068972 0.0028984838 0.0020340236 0.0011094675 0.0018514238 0.0024223372 0.0021311021 0.0024731879 0.000982341 0.0008968195 0.0068578958 0.0008112981 0.0011857434 0.00113027 0.0018375554 0.0012042344 0.0063701924 0.019126756 0.0018213757 0.0017474112 0.0017427885 0.0014307507 0.0025147928 0.0018259985 0.002741309 0.0053323777 0.0019739275 0.0016295303 0.0138868345 0.037144046 0.0026765903 0.0013290496 0.0014538646 0.0013822116 0.0027482433 0.003534116 0.0011880547 0.0010123891 0.011325814 0.0022767198 0.0012296598 0.002882304 0.0031226885 0.0011325814 0.0011117789 0.0011395155 0.0032290125 0.0012735762 0.0011741864 0.0011973003 0.0017266087 0.0009985208 0.0022998336 0.001846801 0.008993621 0.021255547 0.004759153 0.0019993528 0.0030394786 0.0014816014 0.015865386 0.07100592 0.021348678 1.1598129e-05 4.639252e-06 0.0 0.0 0.0 2.319626e-06 1.159813e-06 2.319626e-06 2.319626e-06 0.0 0.0 2.319626e-06 0.0 1.159813e-06 1.159813e-06 0.0022836716 2.5515885e-05 3.827383e-05 2.0876632e-05 5.7990646e-06 1.159813e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006465957 2.7835511e-05 1.6237382e-05 2.2036445e-05 1.39177555e-05 1.6237382e-05 8.118691e-06 4.059345e-05 2.0876632e-05 2.3196259e-05 4.639252e-06 0.0 1.39177555e-05 0.0 4.2913078e-05 0.00040941397 0.008235832 9.046541e-05 3.3634577e-05 3.827383e-05 1.7397195e-05 6.9588777e-06 4.755233e-05 5.6830835e-05 5.103177e-05 1.2757942e-05 2.319626e-06 1.1598129e-05 2.5515885e-05 6.0310274e-05 0.00016817288 0.0006425364 0.0097865015 0.00017049251 0.00012294017 8.698597e-05 0.00010090373 4.059345e-05 6.726915e-05 8.93056e-05 5.5671022e-05 3.479439e-05 3.131495e-05 2.6675698e-05 4.755233e-05 5.3351396e-05 0.00030039155 0.000861741 0.0074854326 6.1470084e-05 4.059345e-05 3.5954203e-05 9.85841e-05 5.451121e-05 0.00016817288 7.422803e-05 7.3068215e-05 5.6830835e-05 3.3634577e-05 2.3196259e-05 3.7114016e-05 0.00028995323 0.00024588034 0.0007225635 0.011128405 0.0002331224 0.0004117336 3.827383e-05 0.00052307564 0.00013685793 0.0014810811 0.00068660924 0.000104383165 4.059345e-05 3.943364e-05 7.886728e-05 4.5232704e-05 0.00036766072 0.00042449153 0.00088725693 0.02766038 0.00036302145 0.0012699951 0.00034330462 0.0023289043 0.0006297784 0.0034620417 0.0017084045 0.0002493598 0.0005114775 0.0002052869 0.00019832801 0.00026559716 0.004432805 0.0011006625 0.0051518893 0.0424016 0.0007527186 0.0013917756 0.00055671023 0.0097006755 0.0012815933 0.005380372 0.0019983577 0.0005915046 0.00072140363 0.00032938688 0.00043608967 0.0005126373 0.034988075 0.002760355 0.031588666 0.036914527 0.0007144448 0.00066805223 0.0004488476 0.01376118 0.0011400961 0.003912049 0.0011772101 0.0006796504 0.00064717565 0.00043492985 0.0006158607 0.00066805223 0.038153205 0.003491037 0.04146679 0.015601804 0.0007457597 0.0008953756 0.00047900275 0.004034989 0.0010507905 0.003663849 0.0019473259 0.0005195962 0.00041637284 0.00064833544 0.00046044574 0.00086058123 0.008221914 0.0015889438 0.008746149 0.009743589 0.001022955 0.0014265699 0.007630409 0.0020157548 0.0009835213 0.0032335585 0.002040111 0.0008141887 0.0006889289 0.0007457597 0.00061470084 0.0008768186 0.0013569811 0.00089189614 0.001543711 0.0049582003 0.00045348686 0.00075039896 0.0005462719 0.0011389363 0.0008443438 0.0007063261 0.0006494952 0.0020076362 0.0003850579 0.00035606258 0.0006158607 0.001184169 0.00028299436 0.0007701158 0.0033530192 0.043131124 0.0061922413 0.012502784 0.0055682617 0.01072827 0.01060533 0.0072012786 0.009228632 0.01797478 0.0028276239 0.002894893 0.0039387248 0.0104823895 0.0034574023 0.008479392 0.018183548 0.027000446 0.0051971218 0.0033994117 0.00514725 0.010224911 0.01016924 0.0053792126 0.008717154 0.018573245 0.001525154 0.0019241297 0.002870537 0.010360609 0.0042507146 0.008152326 0.014875761 0.025474131 0.011924037 0.008502589 0.007815979 0.009124248 0.01190084 0.011707152 0.008047942 0.014592767 0.0066202125 0.0102446275 0.0063824505 0.011424158 0.0066932803 0.011188716 0.014128841 1279.0 10.866302 13898.0 0.056051232 0.0019427256 0.0035256871 0.003165923 0.006331846 0.0025903007 0.0022305367 0.0060440353 0.0066916104 0.0030939702 0.0026622536 0.0029500648 0.0056123184 0.0023024895 0.0060440353 0.003165923 0.015325946 0.014534465 0.011656353 0.010433156 0.011728306 0.008706288 0.0069074687 0.0069074687 0.010073392 0.009209958 0.009281911 0.0078428555 0.009425817 0.0061879405 0.00719528 0.0108648725 0.014534465 0.0078428555 0.0034537343 0.007123327 0.007986761 0.0059720823 0.0051806015 0.0077709025 0.007555044 0.006547705 0.0034537343 0.002158584 0.007555044 0.0045330264 0.0044610733 0.0033817815 0.017052813 0.0038854512 0.004676932 0.011800259 0.008202619 0.004317168 0.008706288 0.011368542 0.005468413 0.00359764 0.0023744423 0.00359764 0.0049647433 0.0030939702 0.0025903007 0.012447834 0.007123327 0.03237876 0.009713627 0.02367247 0.024032235 0.05885739 0.009353864 0.009138006 0.0115844 0.026694488 0.008922147 0.00359764 0.024751762 0.01129659 0.027629875 0.04094114 0.014318607 0.003165923 0.037631314 0.029644553 0.047920562 0.016261332 0.0062598935 0.0041732625 0.007555044 0.009138006 0.003165923 0.001439056 0.0038134984 0.0023024895 0.0022305367 0.0029500648 6.0142164 1.0 0.0 0.0 3.0 432640.0 516096.0 1.0 0.0 76.0 1.0 1.0 0.0 0.0 0.0 1415373700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 173056.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 182272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5718236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3437233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3430386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9337087 0.0 4.656818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61238.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172962.0 0.0 181800.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 239628.0 181800.0 323584.0 0.0 0.0 0.0 0.0 7140.0 507904.0 56.0 180656.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 233328.0 0.0 0.0 316.0 180224.0 0.0 0.0 0.0 0.0


Input: 0.17293808 0.011382749 0.005525364 0.0058532283 0.008007986 0.0035280443 0.0043391306 0.0029772746 0.010333689 0.0016076243 0.0016840047 0.002081494 0.006936582 0.002047201 0.0017640222 0.005854267 0.0075148903 0.001901195 0.001528646 0.0013041813 0.0031742007 0.0042393687 0.001136872 0.0018705389 0.0027330653 0.001440315 0.00096384715 0.0012652117 0.0023355756 0.0010106106 0.0008775945 0.0009815134 0.005012525 0.0008625263 0.0013348374 0.0010054146 0.002954932 0.0009872289 0.0008152432 0.0007991358 0.0029746764 0.0019214592 0.0007653622 0.0026010883 0.0017759728 0.0008464189 0.0012678098 0.00073938246 0.0040575108 0.002591216 0.0026634396 0.0082449205 0.003427243 0.003068723 0.0026883802 0.0028011322 0.0034828396 0.006866956 0.0025751085 0.006431017 0.003642355 0.0041432437 0.0027621626 0.002911286 0.008791533 0.002643695 0.0019619875 0.0024103974 0.0028920611 0.014052424 0.0032209642 0.0017416796 0.0027226734 0.0027055268 0.001964066 0.0016969945 0.0019406842 0.008277655 0.0022581562 0.0014434325 0.010643886 0.0030889872 0.0073990207 0.005440151 0.003386195 0.0073813545 0.006369185 0.008609675 0.0021074738 0.0039005934 0.0007269122 0.0016595838 0.001669456 0.004252878 0.0033357944 0.0024270243 0.0018144228 0.0016803675 0.0009264364 0.0012428692 0.0021407278 0.0030380671 0.0015551453 0.0009150053 0.004977712 0.0014870785 0.006300599 0.0009752782 0.0023636338 0.0021105914 0.0014751278 0.0017707769 0.0028962179 0.00083187025 0.0023371344 0.0020487597 0.0110418955 0.013417999 0.002042005 0.001798835 0.0027969754 0.0010937457 0.00067547243 0.0012075368 0.0023360953 0.004230016 0.0018393634 0.0012080565 0.003688599 0.001990565 0.0008723986 0.0093126865 0.0040201 0.008880383 0.0025532856 0.00092955393 0.0032282386 0.013074548 0.0019926436 0.03924079 0.0019074301 0.012775262 0.0023605162 0.0017972762 0.00390475 0.0007035305 0.0011244018 0.001197145 0.0020617496 0.0009825525 0.0006817075 0.00068794267 0.001686083 0.0009674843 0.0006609238 0.0006843055 0.0016819263 0.0007430196 0.0011030984 0.000893702 0.001923018 0.001696475 0.0006920994 0.0008214784 0.0019027538 0.003294227 0.00086564384 0.00062766974 0.0022113926 0.0007830284 0.0008381054 0.0006448163 0.0020653869 0.0007892635 0.0006640413 0.0011301173 0.0018357262 0.001067766 0.000802773 0.0011654497 0.0018694998 0.0013982279 0.0020612301 0.0015764487 0.003960866 0.0012813192 0.0009965816 0.0011457051 0.0017749337 0.0029398638 0.0020887684 0.0009955424 0.009056007 0.0028962179 0.003821615 0.0036709327 0.0024109168 0.0010786775 0.002839582 0.0032807174 0.0040024337 0.0026618808 0.0009581316 0.0021407278 0.0037306861 0.0010880302 0.0036745698 0.0020248585 0.002405721 0.0010620505 0.0012615746 0.0010298357 0.0020565537 0.0006650805 0.0012038996 0.0012631334 0.0030271555 0.0015125386 0.00078978314 0.0015629393 0.0026494106 0.0013280826 0.0007830284 0.0009981404 0.0032983837 0.0010568545 0.0009690431 0.00080744934 0.0027735936 0.0020248585 0.001454344 0.0011727241 0.020897038 0.0036787267 0.0008271939 0.0044046 0.0070451773 0.0012849563 0.00094462215 0.0010251593 0.0053377906 0.004038805 0.0013452292 0.0013717286 0.003145623 0.001337955 0.0029460988 0.0022410096 0.0047137584 0.0018643038 0.0015826838 0.0029819508 0.006949052 0.0026229112 0.0044633136 0.0603015 0.029286476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00049608125 2.0800053e-06 2.6000066e-06 2.0020052e-05 5.200013e-07 5.200013e-07 1.0400026e-06 2.6000066e-07 1.0400026e-06 1.560004e-06 1.0400026e-06 5.200013e-07 5.200013e-07 1.3000033e-06 1.560004e-06 1.8200046e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004336811 3.120008e-06 1.560004e-06 2.366006e-05 2.6000066e-06 3.146008e-05 2.340006e-06 2.0800053e-06 4.1600106e-06 1.3000033e-06 3.90001e-06 2.340006e-06 5.460014e-06 2.340006e-06 3.90001e-06 8.580022e-06 0.000384541 1.0660027e-05 1.4040036e-05 1.3520034e-05 3.3800086e-06 3.1720083e-05 2.0800053e-06 1.8200046e-06 1.560004e-06 1.0400026e-05 2.6000066e-06 2.0800053e-06 2.340006e-06 2.340006e-06 3.3800086e-06 4.602012e-05 0.022050656 0.0007623219 0.00091598235 0.000390001 0.0004648812 0.0021088654 0.00076050195 0.0006702817 0.00029822075 0.0007001818 0.00025506064 0.00026520068 0.00021658055 0.00018460047 0.00021788056 0.002752627 0.01585094 0.000394681 0.0003140808 0.0002756007 0.00060320157 0.002377706 0.0007020018 0.0010223226 0.0007449019 0.00029146075 0.0002784607 0.00026208066 0.00030368078 0.00026052067 0.00024570062 0.0016317642 0.004402331 0.0004196411 0.00025610067 0.000381681 0.0013127434 0.0005558814 0.0025422864 0.0013444634 0.00017134043 7.280018e-05 0.00010946028 0.00013338034 0.0001167403 7.80002e-05 0.000106080275 0.00024414062 0.0057582348 0.00050986133 0.0003494409 0.00047762122 0.0019318049 0.0006838018 0.0010142626 0.0006177616 0.00017498045 0.0001970805 0.00019032048 0.00021892056 0.00016562043 0.00012636032 0.00014300036 0.00022048056 0.024390142 0.004600452 0.0043898514 0.032125942 0.012008131 0.0058965553 0.006188536 0.004262711 0.0059948354 0.0026473268 0.0032640484 0.0047200522 0.0028054072 0.0024570064 0.003127288 0.0041249106 0.011398429 0.0013871036 0.0009300224 0.0016234441 0.0056674946 0.0018873449 0.0020675254 0.0016387842 0.0024359461 0.00073658186 0.0010995428 0.0012716632 0.0012550232 0.0006385616 0.0009019423 0.0028667673 0.065064386 0.009490284 0.0065626767 0.010077885 0.014378557 0.024511823 0.0078736 0.01592374 0.045744 0.0049722525 0.0044049313 0.0076073594 0.018736947 0.0058297347 0.021107893 0.04602064 0.0620801 0.011395049 0.0077129197 0.011929871 0.019436609 0.028899854 0.0084222015 0.021206174 0.0473833 0.005174273 0.006322436 0.007026258 0.020703593 0.008946623 0.022649959 0.04404411 0.0052054734 0.0052826935 0.005203653 0.005033093 0.0049306527 0.005425694 0.0051846732 0.005111093 0.0057064947 0.0049426127 0.005006053 0.005437394 0.0050411527 0.005062473 0.005159973 0.0053339135 6942.0 12.836502 89111.0 0.012860365 0.0012793033 0.0018740671 0.001357857 0.009325448 0.003018707 0.0016047402 0.0017281817 0.008001257 0.0016047402 0.0013017473 0.0021433942 0.008382804 0.0018516233 0.007114722 0.0016271841 0.024183322 0.017820472 0.017831692 0.01878556 0.023184568 0.015991291 0.017629698 0.017169597 0.022690801 0.021119727 0.018145908 0.0175287 0.024396539 0.017842915 0.017382815 0.021613494 0.021804266 0.014072337 0.0067556193 0.019290548 0.014251888 0.0066995095 0.0093030045 0.005263099 0.011334179 0.007114722 0.0016159621 0.0017730695 0.011547396 0.00933667 0.003871576 0.006149634 0.018583564 0.0035236953 0.0063852947 0.011401511 0.014644656 0.0042867884 0.010234427 0.009561109 0.009246894 0.0021209503 0.0016945158 0.0021097283 0.00939278 0.0024351652 0.0032094803 0.0073279394 0.008102255 0.018718228 0.0056670895 0.010054875 0.016283063 0.03201625 0.004735667 0.0058466406 0.013679568 0.01673194 0.0031982583 0.0031870364 0.022129703 0.0075860443 0.016911492 0.023352897 0.015205755 0.0016159621 0.01998631 0.01254615 0.03773945 0.010189539 0.0034900294 0.013140914 0.012557372 0.004589781 0.001649628 0.0014251888 0.007687042 0.0017394037 0.0019975088 0.0015037425 6.166723 0.0 2.0 0.0 12.0 1924579.0 1970176.0 0.0 0.0 603.0 0.0 1.0 0.0 0.0 0.0 1146002800.0 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 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 10.0 0.0 5.0 1.0 5.0 1.0 1230336.0 1024.0 4096.0 6.0 0.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 -197120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 281088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1401344.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7100925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.076761 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.787586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.254162 0.0 4.2812734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -198144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 281010.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1402253.0 0.0 18332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 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 -2.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 -3.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 2.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -3.0 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 -3.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 2.0 -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 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -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 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 2.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 1504484.0 18332.0 1576960.0 0.0 0.0 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 1407472.0 0.0 0.0 2488.0 1236992.0 0.0 0.0 0.0 0.0


Input: 0.82472867 0.0013842256 0.0009441128 0.0012777466 0.0010292958 0.00043301412 0.00049690146 0.0010150986 0.00068146485 0.0006317747 0.00052529585 0.0005465916 0.000731155 0.00034073243 0.00053239445 0.0011783664 0.0017604509 0.0009370142 0.00072405644 0.0007524508 0.00071695785 0.0015049016 0.0010080001 0.0009370142 0.0005678874 0.00051109865 0.0005820846 0.00042591555 0.0005536902 0.0005820846 0.0006601691 0.0003762254 0.00070985925 0.00035492962 0.0007879438 0.00045430992 0.00043301412 0.00043301412 0.00043301412 0.00030523946 0.000539493 0.00033363383 0.000539493 0.00036202822 0.0004685071 0.0008163381 0.0010363945 0.00041171836 0.001078986 0.0004827043 0.0007737466 0.0006459719 0.00034073243 0.0002981409 0.00034783102 0.0005465916 0.0003904226 0.0005678874 0.00041171836 0.00036202822 0.00067436625 0.00021295778 0.00045430992 0.00024845073 0.0020160002 0.0007879438 0.0005465916 0.0005891832 0.0011215776 0.0009441128 0.00091571844 0.00090861984 0.00045430992 0.0007950423 0.0006459719 0.00045430992 0.0006104789 0.0005678874 0.0011712677 0.00086602825 0.0016681692 0.00050400005 0.0006530705 0.0012138593 0.00045430992 0.0004685071 0.0007950423 0.0005607888 0.0007595494 0.0002768451 0.00050400005 0.00042591555 0.000574986 0.0003904226 0.0004827043 0.00031233806 0.00048980286 0.0009796057 0.00040461976 0.000731155 0.0007879438 0.0019876058 0.00070985925 0.00051819725 0.00095831 0.0010292958 0.00090152124 0.00024845073 0.0012493522 0.0007737466 0.0012209578 0.0011854649 0.0009512114 0.00041171836 0.0016610706 0.0012422537 0.0016823664 0.0011215776 0.0007524508 0.0025341974 0.000766648 0.000539493 0.0004756057 0.00014197185 0.00070985925 0.00042591555 0.000731155 0.00034783102 0.0012564509 0.00020585918 0.00034073243 0.00036202822 0.00041171836 0.0012067606 0.0004827043 0.0008447325 0.0020160002 0.0009370142 0.0003904226 0.003499606 0.0003762254 0.0010576902 0.00039752116 0.0003904226 0.00032653526 0.00019876058 0.00044011272 0.00021295778 0.00031943666 0.0001845634 0.0002839437 0.00024135214 0.0003904226 0.00039752116 0.0002768451 0.00020585918 0.00051819725 0.00041171836 0.0002910423 0.00034073243 0.0004685071 0.00034073243 0.00031233806 0.00033363383 0.0006459719 0.00019876058 0.0004685071 0.0004756057 0.00033363383 0.00033363383 0.0007808452 0.00034073243 0.000383324 0.0006388733 0.0008092395 0.00045430992 0.0003762254 0.00026264793 0.00044721132 0.00015616903 0.00034783102 0.0005962818 0.0002981409 0.00032653526 0.0004827043 0.00020585918 0.0006530705 0.00034073243 0.0003762254 0.00045430992 0.000383324 0.00024845073 0.001341634 0.00019876058 0.00034783102 0.0005820846 0.0005536902 0.00044011272 0.0006601691 0.0008163381 0.00043301412 0.00021295778 0.000191662 0.00014907045 0.0009867044 0.00012777466 0.00022715496 0.00013487325 0.0002839437 0.00013487325 0.0002697465 0.00014197185 0.00031233806 0.00026264793 0.0066087893 0.00044011272 0.0002910423 0.00010647889 9.938029e-05 5.678874e-05 0.00012067607 2.839437e-05 0.00011357748 4.9690145e-05 0.0003691268 4.2591553e-05 6.388733e-05 3.549296e-05 0.00022005636 2.839437e-05 4.9690145e-05 3.549296e-05 0.00033363383 7.8084515e-05 0.00012067607 0.0002768451 0.00033363383 3.549296e-05 0.00010647889 9.22817e-05 0.0015758876 4.2591553e-05 9.22817e-05 0.0002768451 0.0003691268 0.00053239445 0.00023425354 0.000191662 0.00035492962 7.098592e-05 0.00024845073 0.0004614085 0.0010080001 0.00051819725 0.00032653526 0.024816679 0.73524386 1.4361213e-05 0.0 1.4361213e-05 0.0 0.0 0.0 1.4361213e-05 0.0 7.1806066e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005704992 0.0 4.308364e-05 5.385455e-05 0.0009406595 0.0003231273 0.00019387637 8.975758e-05 0.0 0.0 0.0 3.5903033e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015901454 0.00071447034 0.0005098231 0.00059599034 0.0004451976 0.0002225988 9.693819e-05 4.308364e-05 0.00034107882 0.0005026425 0.0007826861 3.5903035e-05 0.0007001092 6.1035156e-05 0.00016156364 0.0009442498 0.013772404 0.0002154182 0.00012566062 0.0004523782 0.0003123564 0.00019746668 0.000556497 0.0024126838 0.0020141602 4.6673944e-05 0.00012207031 7.539637e-05 0.00015079274 5.385455e-05 0.0001112994 0.0014397117 0.0088034235 0.0003374885 0.0002046473 0.00024055032 0.0014397117 0.0005852194 0.0007360122 0.00038057216 0.0003303079 0.00010411879 2.154182e-05 0.00024414062 1.7951517e-05 6.1035156e-05 0.00014361214 0.0010555491 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006344066 0.00056367763 0.00036980124 0.0004272461 0.00080422795 0.00038416244 0.0019172219 0.0014002183 0.0003338982 0.0003267176 0.00023696001 0.00041288487 0.00017233456 4.6673944e-05 1.077091e-05 0.00095502066 0.019850787 0.0023624196 0.0018131032 0.0013607249 0.0017556583 0.0013391832 0.0020859663 0.0031307444 0.003102022 0.000994514 0.002154182 0.0016264074 0.001551011 0.0018131032 0.00018669578 0.006344066 0.013442095 0.0032276828 0.0020321116 0.001644359 0.0018238741 0.0019279929 0.0019172219 0.0015869141 0.002911736 0.0011165843 0.0013320026 0.0011560777 0.0010986328 0.0019100413 0.00045596852 0.006534352 0.013991412 0.0044447957 0.002746582 0.0023660099 0.0047499714 0.003920611 0.0053423713 0.0047320197 0.00426169 0.0016694911 0.0023013845 0.0020787856 0.0031163832 0.005220301 0.00095143035 0.011636173 0.002638873 0.00079704734 0.0004523782 0.0006247128 0.0010986328 0.0011704388 0.0012925091 0.0007898667 0.0010340074 0.0003123564 0.0004272461 0.00037698186 0.0006713867 0.00026209213 0.00019387637 0.0025634766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 214.0 15.906542 3404.0 0.007638073 0.0035252643 0.012925969 0.007638073 0.0055816686 0.0035252643 0.0008813161 0.0011750881 0.00058754405 0.0014688602 0.0041128085 0.0014688602 0.0020564042 0.016157461 0.01439483 0.00029377203 0.0064629847 0.0029377204 0.0052878964 0.0049941246 0.0017626322 0.0011750881 0.00029377203 0.010869565 0.0023501762 0.0070505287 0.0017626322 0.0011750881 0.014101057 0.0008813161 0.0014688602 0.0017626322 0.009694478 0.026145712 0.0020564042 0.015569918 0.03202115 0.009400705 0.007344301 0.026733255 0.0032314924 0.022326674 0.0014688602 0.0020564042 0.010282021 0.008519389 0.016157461 0.0035252643 0.022620447 0.00058754405 0.0041128085 0.016157461 0.0032314924 0.0029377204 0.006756757 0.006756757 0.014982373 0.0 0.00058754405 0.0008813161 0.009106933 0.0047003524 0.00029377203 0.0011750881 0.009106933 0.02878966 0.0035252643 0.019095182 0.017626323 0.06051704 0.007931845 0.0070505287 0.007344301 0.025851939 0.0044065807 0.0011750881 0.03143361 0.013513514 0.03025852 0.0346651 0.012044653 0.0014688602 0.041128084 0.03202115 0.03936545 0.011457109 0.009106933 0.071386606 0.010282021 0.013807286 0.00029377203 0.0 0.006756757 0.0023501762 0.006756757 0.00029377203 5.748434 0.0 0.0 0.0 1.0 140873.0 102400.0 1.0 1.0 72.0 0.0 1.0 0.0 0.0 0.0 1208111600.0 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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 7680.0 1024.0 4096.0 3.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 83968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2693553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.241434 0.0 2.2217214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7579.0 0.0 83776.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 11600.0 120.0 9844.0 26792.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4432.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5512.0 128.0 600.0 332.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0076666097 0.0036639108 0.0035475835 0.0037524556 0.0035200007 0.0036928926 0.0036677085 0.0038090202 0.0035459844 0.0036721057 0.0035333924 0.0038008252 0.0037272712 0.0037804379 0.0038040231 0.003955329 0.003517802 0.0035717683 0.0036143418 0.0037330675 0.0036051476 0.0036832986 0.0037668464 0.0039489325 0.0036453225 0.003764448 0.003740463 0.0038519932 0.0037736422 0.0038597884 0.0039487327 0.0041218246 0.0035369901 0.0035701694 0.0036149414 0.0037314687 0.0037012873 0.003735666 0.0037486579 0.003913555 0.0035493823 0.003735666 0.0036181393 0.0038390013 0.0037520558 0.00380942 0.0038370027 0.004061063 0.0036761032 0.003727671 0.0037710438 0.003999301 0.0037346666 0.0038134174 0.0038471962 0.003911756 0.0038194137 0.0039031613 0.003915154 0.0040690578 0.004012493 0.0039731176 0.0040256847 0.0042615375 0.0036473211 0.0036615124 0.0037054848 0.003679901 0.003628133 0.0037506565 0.0037970275 0.0038174149 0.0035453849 0.0037352662 0.0036247352 0.0038264093 0.0038158158 0.0038581893 0.0039165528 0.0040466716 0.0036924928 0.003650719 0.0036836984 0.003959326 0.003612543 0.0037604505 0.0038068215 0.003986909 0.0037170777 0.0038943668 0.0037970275 0.003941937 0.0038961656 0.0039077583 0.003971119 0.0042293575 0.0036025492 0.003838002 0.0037202756 0.003924748 0.003804423 0.0039481334 0.0039069587 0.004022487 0.003780238 0.0038963656 0.0038164156 0.003928146 0.0038861718 0.0038771776 0.0039217495 0.004152206 0.003798027 0.0038965654 0.003946734 0.0039891074 0.0039763157 0.004048071 0.003942337 0.0041208253 0.003902162 0.0040148916 0.003972318 0.0040342794 0.0041586016 0.0042185644 0.0042565404 0.004490994 0.0036583142 0.0037312687 0.0036273336 0.0037722432 0.0036273336 0.0037810376 0.0037624491 0.0039221495 0.0036033487 0.0038815748 0.0036465216 0.0040154913 0.0038104192 0.0038867716 0.0038705817 0.004063661 0.0036127428 0.0037220744 0.0036791014 0.003897365 0.003748258 0.0037478583 0.0038691824 0.004018889 0.0037600507 0.003932743 0.0037840358 0.003961325 0.0038981645 0.004051069 0.004076453 0.004227958 0.0036767027 0.0037200756 0.003650519 0.0038465967 0.003663711 0.0037546542 0.0038336047 0.0039959033 0.0036834986 0.0038186142 0.0037354662 0.0038825742 0.00382501 0.003865185 0.0038979645 0.004096041 0.0037422618 0.003895566 0.0038561907 0.0040352787 0.003820413 0.0039023617 0.0039045603 0.003988108 0.0038731801 0.0039499323 0.0039317436 0.0040456722 0.003979114 0.0040194886 0.004250544 0.0044164406 0.0037768402 0.0037314687 0.003759651 0.003947334 0.0037800383 0.0038707815 0.003943536 0.0041094325 0.003836603 0.0039189514 0.003826609 0.004068458 0.003959326 0.003980113 0.004124823 0.004312106 0.00380922 0.003817015 0.0037584517 0.0040005003 0.0038196135 0.0038869714 0.0039159534 0.0041088327 0.003860388 0.0038985643 0.0039249477 0.0040594637 0.0039447355 0.0040042982 0.0040528676 0.0043978523 0.0038725804 0.0038545916 0.0039007629 0.004110032 0.0039143544 0.004015891 0.0039301445 0.0043157036 0.0040258844 0.0039717183 0.003961125 0.0041683954 0.003986509 0.004026884 0.0040240856 0.004350082 0.0040548667 0.0040916437 0.0040740543 0.004278727 0.004041875 0.0041616 0.0040566656 0.004370469 0.004212168 0.0042181644 0.0041991766 0.004339888 0.004276728 0.00440165 0.0044486206 0.005075629 0.0002043503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.9975686e-08 0.0 9.9975686e-08 0.0 1.9995137e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017735687 1.3996596e-06 1.599611e-06 1.599611e-06 1.299684e-06 1.4996352e-06 1.9995136e-06 1.9995136e-06 1.6995866e-06 1.9995136e-06 1.4996352e-06 2.2994407e-06 2.599368e-06 1.6995866e-06 1.7995624e-06 2.3994164e-06 0.00016416008 2.2994407e-06 2.1994651e-06 1.9995136e-06 2.0994894e-06 1.9995136e-06 2.9992705e-06 2.1994651e-06 2.3994164e-06 2.3994164e-06 3.3991732e-06 2.599368e-06 3.0992462e-06 3.3991732e-06 3.3991732e-06 4.099003e-06 0.00076331437 1.1897107e-05 1.899538e-05 1.0997325e-05 1.7295793e-05 2.6393582e-05 3.24921e-05 2.1494772e-05 3.3091954e-05 4.9987843e-06 4.3989303e-06 5.09876e-06 8.697884e-06 4.698857e-06 6.0985167e-06 5.378692e-05 0.0001430652 3.199222e-06 6.398444e-06 5.398687e-06 4.2989545e-06 5.79859e-06 9.697642e-06 6.398444e-06 4.2989545e-06 1.9995137e-07 1.0997326e-06 1.3996596e-06 1.6995866e-06 2.9992705e-07 1.0997326e-06 1.0397472e-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 0.00065084174 1.4696426e-05 3.4591587e-05 3.0192658e-05 8.078035e-05 4.678862e-05 0.0002499392 0.00015826151 2.689346e-05 1.599611e-05 1.3596693e-05 1.6595965e-05 1.7495746e-05 1.599611e-05 2.5993679e-05 3.4591587e-05 0.00026533546 4.3989303e-06 1.4196547e-05 6.0985167e-06 3.9490395e-05 1.689589e-05 0.00010867357 6.9683054e-05 1.4196547e-05 9.097787e-06 1.1397228e-05 1.1697155e-05 1.2396985e-05 1.1397228e-05 7.598152e-06 1.1697155e-05 0.00039890298 1.6296037e-05 1.4096572e-05 1.4996353e-05 2.339431e-05 2.0894919e-05 2.2394554e-05 3.8890543e-05 3.61912e-05 2.0894919e-05 3.1792268e-05 2.849307e-05 3.2292148e-05 2.9092924e-05 2.9192901e-05 6.118512e-05 0.00030622553 1.229701e-05 2.17947e-05 2.5893703e-05 2.2594504e-05 1.9795185e-05 6.448432e-05 7.7381184e-05 4.988787e-05 2.9492827e-05 2.3494285e-05 2.6593532e-05 2.8992949e-05 2.689346e-05 2.1294822e-05 6.188495e-05 0.0010522441 0.00012436975 7.958065e-05 0.00012067065 0.00022004648 0.0001780567 0.00012836877 0.00022774462 0.00031052448 0.00012956849 0.00014336513 0.00013366749 0.00022294578 0.00015396255 0.00025773732 0.00040740092 0.000666038 0.00014046584 9.307736e-05 0.00010507445 0.00022504527 0.00018735444 9.857603e-05 0.00020325057 0.00023634252 6.0985167e-05 7.0082955e-05 7.138264e-05 0.00014416494 9.277744e-05 0.000176757 0.00029512824 0.058274627 0.059822053 0.059469536 0.062142987 0.059428748 0.061004363 0.06131259 0.06395994 0.05995442 0.06171839 0.060642052 0.0633153 0.062477905 0.06292889 0.06390066 0.06736252 22866.0 5.7541766 131575.0 0.009705491 0.009857495 0.009158275 0.009933498 0.010093103 0.0099867 0.010199506 0.009811894 0.009500285 0.009933498 0.009705491 0.009811894 0.010047502 0.009956298 0.010229907 0.011141934 0.010047502 0.0100551015 0.010017101 0.011065932 0.009378681 0.009697891 0.009971499 0.0102375075 0.0107239215 0.010039901 0.01034391 0.01065552 0.010898727 0.010313509 0.010868326 0.010822725 0.009112674 0.0100551015 0.009629489 0.010260308 0.010184306 0.009781494 0.010647919 0.010457913 0.009264678 0.010473114 0.0097206915 0.00966749 0.010784724 0.0103895115 0.010564317 0.010974729 0.009910697 0.009241877 0.010146304 0.011134334 0.009606688 0.010039901 0.009880296 0.010397112 0.009492685 0.010442713 0.010176705 0.010784724 0.010419913 0.010131104 0.010146304 0.011217937 0.009697891 0.011514345 0.010427513 0.010951929 0.011065932 0.013277599 0.011597948 0.010229907 0.010518716 0.011613148 0.010115904 0.0099867 0.011179935 0.010815124 0.011369941 0.011863956 0.010138704 0.0102223065 0.011765153 0.011491545 0.012502375 0.010777123 0.010252708 0.011164735 0.010374311 0.0108911265 0.010488315 0.010131104 0.01035911 0.010685921 0.011263538 0.011917157 6.5815845 0.0 0.0 0.0 62.0 5003124.0 253952.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1188058600.0 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 23552.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2979827 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.161439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5051055 0.0 5.403431 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23344.0 0.0 22544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 22544.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0