Input: 0.40546623 0.012040641 0.005891731 0.0045112045 0.004788423 0.0033021304 0.0027154067 0.0023001353 0.005464213 0.0019639104 0.0024303948 0.001956117 0.0042462326 0.003079465 0.001843671 0.004751683 0.01164875 0.0018815241 0.0015753589 0.0018804108 0.0038521145 0.0041660727 0.0019538903 0.0015998521 0.0020641098 0.0020284834 0.0020930564 0.0012435872 0.0016933717 0.001558659 0.0011801275 0.0045446046 0.0049832556 0.0016043055 0.0016633119 0.0016087588 0.003201931 0.001561999 0.0014183797 0.00135826 0.0014606862 0.0011467277 0.0010109018 0.0013204069 0.0016544053 0.0013471267 0.0017356782 0.0010309416 0.0036962486 0.0019126973 0.0020841497 0.0033388704 0.0018759575 0.002179896 0.0015853789 0.0013048203 0.0016699918 0.0019216039 0.0015876056 0.0027588264 0.0014606862 0.0017379049 0.0013560334 0.0016054187 0.003776408 0.0017212048 0.0012658538 0.0020741299 0.0026051872 0.0052693808 0.0023146085 0.001969477 0.0015464124 0.0016421586 0.0018804108 0.00090847554 0.0016699918 0.0028935391 0.0017902312 0.0017579447 0.0044466313 0.0013727333 0.0014105864 0.003289884 0.0014172663 0.0023925416 0.0032442375 0.002835646 0.001099968 0.0022166357 0.0008683957 0.00135158 0.0015786989 0.0016343653 0.0017779846 0.0014963127 0.0011422744 0.0032420107 0.0010520949 0.0019961968 0.0025016477 0.0057469984 0.002489401 0.00135158 0.0029781521 0.003518116 0.0029592256 0.0010231483 0.003541496 0.0015809255 0.0031195446 0.0032397842 0.0020830364 0.0009975418 0.0037875415 0.0029981919 0.0074381437 0.0073646638 0.0013738465 0.0017267715 0.0016621985 0.0013304268 0.0010320549 0.0009118155 0.0012614005 0.0019138106 0.001167881 0.0012023941 0.0041037267 0.0017456982 0.0013393335 0.0055477126 0.0017724179 0.0036283354 0.0010443015 0.0008984556 0.0018726175 0.0042807455 0.0014428729 0.009939792 0.0011745609 0.003708495 0.0010610014 0.0012313406 0.0012012807 0.0009841819 0.00091292884 0.0010298283 0.0011010813 0.0010008818 0.00096970855 0.00077710283 0.0009797285 0.0009151555 0.00075260963 0.0007637429 0.0009140422 0.00068135664 0.00077264954 0.00075594964 0.0010075617 0.0012202073 0.00067913 0.0012914604 0.0007548363 0.0007325697 0.00064461684 0.00059006375 0.0007270031 0.0007938028 0.0005922904 0.00068469666 0.00076819625 0.0005176975 0.00051324413 0.0005722505 0.00082942925 0.0005076775 0.000546644 0.0005822705 0.00059563044 0.0005232641 0.00090068224 0.0007370231 0.0009296288 0.00062457693 0.0005945171 0.00065241015 0.00058561045 0.00069694326 0.00084501586 0.00062012364 0.003789768 0.0012580605 0.0010721347 0.0023168353 0.0013103869 0.0005789305 0.001083268 0.0017468114 0.0010431883 0.0011389344 0.00056891056 0.00071364315 0.0025962805 0.0005310574 0.0005544373 0.000549984 0.00096302864 0.00077042286 0.0009229488 0.00076819625 0.0007514963 0.00051881076 0.0009641419 0.0007637429 0.0011155545 0.00058783713 0.00057559053 0.0016043055 0.0008338826 0.00076040294 0.0006557501 0.0008728491 0.0018047044 0.0008672824 0.00078489614 0.00068135664 0.0014606862 0.0007225498 0.0008750757 0.0008528092 0.00546978 0.0016488386 0.0018559175 0.0025450676 0.0023246286 0.0008951156 0.0012079608 0.0012469272 0.0026597404 0.0017802112 0.0011133279 0.0012914604 0.0017000517 0.0011522943 0.0018993374 0.0019371905 0.0031640779 0.0016889183 0.0015241458 0.0018893174 0.0033967632 0.0020218035 0.002767733 0.109171815 0.017098762 2.0066353e-05 5.016588e-06 3.901791e-06 5.573987e-06 3.344392e-06 2.2295947e-06 0.0 1.672196e-06 1.672196e-06 0.0 3.344392e-06 0.0 1.1147973e-06 8.36098e-06 0.009100649 0.0151060615 0.00041804902 5.6297267e-05 3.901791e-05 6.967484e-05 5.6854667e-05 5.5739867e-05 3.5116118e-05 3.0656927e-05 1.7836757e-05 2.173855e-05 3.2329124e-05 2.2295948e-05 1.6164562e-05 3.2329124e-05 0.0033962303 0.11329853 0.003942481 0.000343915 0.0007274053 0.00056575966 0.0005490377 0.00037234233 0.00036286656 0.00052283995 0.0002904047 0.0002920769 0.00028427332 0.00041136023 0.00026866616 0.000343915 0.0041364557 0.06349496 0.0023884533 0.00044257456 0.00045762432 0.00040244186 0.0003862773 0.0003483742 0.00027033835 0.00041804902 0.00020902451 0.0003372262 0.00023355005 0.00022686126 0.00044313195 0.0002129263 0.007353761 0.044598583 0.0017212471 0.00058805564 0.00036955532 0.00044870595 0.0002993231 0.00023633704 0.00020902451 0.00034502978 0.00019676174 0.00041749162 0.00013990708 0.00018171198 0.00066386187 0.0002525016 0.008692632 0.009583356 0.000673895 0.0004715593 0.00032384862 0.00035784996 0.00019397475 0.00030768407 0.00027089578 0.00028817513 0.00019620433 0.00015774382 8.47246e-05 7.803582e-05 0.00027535495 0.00036342395 0.013770535 0.007361007 0.00049162563 0.0005596283 0.0006789116 0.00032998002 0.0002982083 0.00047601847 0.00029988048 0.00021905768 0.00013712008 0.00021850028 0.00022240207 0.00022407428 0.00022909086 0.0002508294 0.009693163 0.01863328 0.0004932978 0.0005613005 0.0013544788 0.0008951823 0.00057579286 0.0014208093 0.0008873787 0.00048828125 0.0002987657 0.00015997342 0.00017223619 0.00019174514 0.00018059717 0.00018394156 0.0020417513 0.02540456 0.0005044458 0.0015194688 0.002074638 0.0017859054 0.0017257064 0.006419561 0.0034040338 0.0009721033 0.0002909621 0.00015662903 0.00014659585 0.00020177833 0.00010702055 0.00023243525 0.0007162573 0.02532987 0.00088124734 0.0016799996 0.0025172124 0.002271957 0.001683344 0.005966953 0.0032814061 0.0011504709 0.00041191763 0.00031883206 0.00032161904 0.0005022162 0.0002959787 0.00041024544 0.0009219374 0.017099319 0.0012195883 0.0011304045 0.0019157793 0.0019453214 0.0012931649 0.0044591897 0.0028968009 0.0016666221 0.00073632365 0.0003433576 0.00031270066 0.00056966144 0.0004330988 0.0005406767 0.0033923285 0.033830754 0.008229991 0.006126369 0.0052958447 0.0049653077 0.0038716912 0.007610164 0.007888864 0.007032142 0.00475907 0.0016170136 0.0012547044 0.0017441005 0.0016571463 0.004895075 0.030500298 0.01944987 0.0046776896 0.0034592163 0.003746834 0.0039391364 0.002750205 0.0038360178 0.0042579686 0.0039876304 0.0022123153 0.0023472058 0.0024586855 0.0024570134 0.0019988318 0.003070152 0.015259904 0.023448091 0.0064780875 0.004149276 0.0042590834 0.0063454267 0.0060427594 0.00305343 0.0050015384 0.010581656 0.002289794 0.0019793226 0.0016956069 0.0045461436 0.00200775 0.004972554 0.012464549 0.03249746 0.012607801 0.006723343 0.007970802 0.010576082 0.012515273 0.006497039 0.008896083 0.01691259 0.00235278 0.0035484 0.0032708156 0.009366527 0.0047094617 0.009360953 0.017719705 0.00057802245 0.00022072988 0.0002597478 0.00031771726 0.00018394156 0.0001700066 0.00039463828 0.00028037155 0.0001744658 0.00010534835 0.00014826805 0.00011203714 0.00012095551 0.00010479095 0.000113709335 0.00013990708 2897.0 13.37487 38747.0 0.029576484 0.002348569 0.004542287 0.0019356337 0.003613183 0.0021937182 0.001548507 0.0018065915 0.0022453351 0.0019872505 0.0010839549 0.0020388674 0.0025550365 0.004206777 0.010400806 0.004310011 0.013936562 0.009523318 0.01166542 0.009471701 0.0071489406 0.008852298 0.009394276 0.005935943 0.006271453 0.0074844505 0.00980721 0.007458642 0.0068134307 0.0076134927 0.005806901 0.003974501 0.0037422252 0.011536377 0.002813121 0.012723566 0.010452422 0.008697447 0.008258704 0.011846079 0.006194028 0.009755594 0.0016001238 0.002116293 0.0072521744 0.007510259 0.0052907323 0.004206777 0.013162309 0.002348569 0.007690918 0.020749994 0.007949002 0.004232586 0.008052236 0.017085195 0.0032518646 0.0026840789 0.0019356337 0.0021421013 0.002348569 0.0017549746 0.0019098253 0.002916355 0.0022453351 0.037241593 0.00699409 0.022504969 0.023227604 0.07510259 0.0073812166 0.01081374 0.011020208 0.03762872 0.0036648 0.0034325237 0.038815908 0.0142462645 0.03600279 0.040828966 0.01514956 0.0021937182 0.043306578 0.028931271 0.055359125 0.01716262 0.005471391 0.008103853 0.007690918 0.01047823 0.0032776732 0.0012388056 0.0018582083 0.0019614422 0.0016517407 0.0032518646 5.8625693 2.0 17.0 0.0 29.0 898208.0 344064.0 0.0 0.0 166.0 0.0 1.0 1.0 0.0 0.0 1481493000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26112.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2486377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.033089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509822 0.0 5.859323 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 0.0 5296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25615.0 0.0 29016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34320.0 29016.0 311296.0 0.0 0.0 7632.0 890576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.06033507 0.0039548236 0.003169097 0.0034251858 0.004240013 0.003404815 0.0031458163 0.0038937116 0.0053458507 0.003195288 0.0034833876 0.003992655 0.0036638137 0.0036201624 0.0029130084 0.0038878913 0.0036550835 0.0035386796 0.0036870947 0.0038413298 0.0030614235 0.0036900046 0.0044233496 0.0043884283 0.0034368262 0.0030672436 0.0032651303 0.0034688371 0.0035357694 0.0028577165 0.0033029616 0.0029362892 0.0037831278 0.0032069283 0.0030265022 0.0029100983 0.0032709506 0.003495028 0.0033873545 0.0034746574 0.0034688371 0.002837346 0.003972284 0.0038034986 0.0030817941 0.003818049 0.0038325996 0.002933379 0.003285501 0.0033407928 0.0035823311 0.0032331191 0.0030876144 0.0029246488 0.0030148618 0.0038966218 0.0038238692 0.0031516366 0.0038005884 0.003940273 0.0029770306 0.0029770306 0.002837346 0.0037365663 0.005453524 0.0049500773 0.0038646106 0.0029944913 0.0048715044 0.012114739 0.0032331191 0.004024666 0.0036841845 0.003908262 0.0038849814 0.003398995 0.00355323 0.004944257 0.0044757314 0.0038238692 0.0056310403 0.004641607 0.0044466304 0.0032360293 0.0039169923 0.0041061486 0.0036725441 0.002988671 0.004461181 0.003815139 0.0031574566 0.0029799407 0.0041643507 0.0032913212 0.0035270392 0.0035736007 0.0032127486 0.0031254457 0.0030352327 0.0043855184 0.003521219 0.0034164554 0.003134176 0.0034135454 0.0034222757 0.004210912 0.003724926 0.0033116918 0.0032214788 0.003107985 0.0036609038 0.0041352496 0.0034862978 0.0032476697 0.0040101153 0.0030876144 0.0034222757 0.0029799407 0.0033291525 0.0033669837 0.0030992548 0.0032913212 0.0029712103 0.003023592 0.0033495233 0.0030352327 0.0028751772 0.0027995147 0.0045979554 0.0040712277 0.0035619603 0.003966464 0.003137086 0.0032622202 0.002988671 0.0034717473 0.0036929147 0.0039460934 0.003579421 0.0069725956 0.0029071881 0.0036812744 0.003579421 0.0028780873 0.004030486 0.0031894678 0.0030963446 0.0035823311 0.0035590502 0.0034251858 0.003017772 0.0037831278 0.0033582535 0.003343703 0.0033757142 0.0029857608 0.0038908015 0.0029450194 0.0036958249 0.0039431835 0.0043593273 0.0029944913 0.0028344358 0.004292395 0.0029537498 0.0029391993 0.0032767707 0.0041876314 0.003428096 0.0029653902 0.003788948 0.0028577165 0.0039868345 0.0027966045 0.002808245 0.0027966045 0.0039460934 0.004024666 0.003314602 0.0032767707 0.0042225528 0.0045106523 0.0029770306 0.00384424 0.00325931 0.0029712103 0.0034833876 0.0035444999 0.0048773247 0.0037191056 0.0035561402 0.003314602 0.0035299493 0.0031603668 0.0037627572 0.0046037757 0.0034310059 0.004650337 0.011620022 0.0042545637 0.004766741 0.0034804775 0.002869357 0.0038267793 0.005712523 0.0046561575 0.0028926379 0.003078884 0.0034368262 0.004056677 0.0031487264 0.0036958249 0.0034193655 0.0036463533 0.00355323 0.0029653902 0.0035008483 0.0032302092 0.0034659272 0.0033407928 0.0035299493 0.0043651476 0.0030847043 0.0029071881 0.0036376228 0.0028751772 0.003879161 0.0043884283 0.0034251858 0.004592135 0.0030905243 0.004027576 0.0045368434 0.003495028 0.003727836 0.0034513767 0.0046008653 0.0030090418 0.004379698 0.0033378827 0.003963554 0.0040770476 0.003966464 0.0032418496 0.0037103754 0.0037918582 0.0037191056 0.004272024 0.004001385 0.003940273 0.0038704309 0.0033320626 0.00502574 0.0030817941 0.0032680405 0.007071539 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052963898 0.05311886 0.051444963 0.05164378 0.052224167 0.054553002 0.05010438 0.048480187 0.0500576 0.05223586 0.05112334 0.05670349 0.056783892 0.052817706 0.05539507 0.054661185 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343631.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.35487264 0.010829139 0.0046491097 0.0025546623 0.006790518 0.0030148772 0.0023292508 0.0013618604 0.0095330225 0.003080622 0.0017751146 0.00091103767 0.006790518 0.001934781 0.0009767826 0.0040480127 0.03167969 0.012970546 0.0021508003 0.0010049591 0.0028176422 0.0049966187 0.0008828612 0.00061988126 0.0021132317 0.00095799833 0.0006574498 0.0005823127 0.0018314674 0.0010894883 0.0007419791 0.00054474414 0.0041982867 0.00056352845 0.00067623414 0.0004132542 0.0043016006 0.0021038395 0.00072319485 0.00040386204 0.0010707041 0.0008265084 0.00054474414 0.0012961155 0.0010519198 0.0008077241 0.0012303704 0.0007138027 0.0030148772 0.0023574273 0.0029115635 0.0057949508 0.0027612892 0.0041137575 0.0023104665 0.0019629574 0.0028927794 0.0030148772 0.0021508003 0.003606582 0.0025077015 0.0028833873 0.0018972125 0.0023104665 0.0027612892 0.0020099182 0.0007889398 0.0015684875 0.0026391915 0.011730784 0.0020099182 0.0015684875 0.0016811931 0.0009392141 0.00042264632 0.00056352845 0.0014745661 0.0054380493 0.0011082726 0.0007419791 0.010556766 0.0030524458 0.0034750921 0.005278383 0.0017469382 0.0038226012 0.0054944023 0.0044236984 0.0010425276 0.004583365 0.0005165677 0.0014839582 0.0010331355 0.0021132317 0.002207153 0.0021883687 0.0007419791 0.0032590728 0.0009673905 0.0018220753 0.0034844843 0.0071192426 0.0027049365 0.0007607634 0.0056258924 0.0029021716 0.0055789314 0.0041982867 0.0034187392 0.0014745661 0.003925915 0.0031181907 0.0025734466 0.0005071756 0.0041888948 0.0037286798 0.01136449 0.0110357655 0.001333684 0.0011082726 0.0021038395 0.0012585468 0.00067623414 0.00045082276 0.0021883687 0.0029115635 0.0014088211 0.0004414306 0.0069501842 0.0014276054 0.0004883913 0.009025848 0.0021695844 0.008114809 0.00086407695 0.00047899917 0.0015778797 0.01092306 0.0017469382 0.022522353 0.0008546848 0.007278909 0.00042264632 0.0015309189 0.0049120896 0.0011082726 0.00033811707 0.00067623414 0.0006950184 0.00028176422 0.000601097 0.0001596664 0.00075137126 0.00014088211 0.00014088211 0.0001596664 0.00073258695 0.0003193328 0.0002535878 0.0002066271 0.0011740176 0.0010049591 0.00047899917 0.0011082726 0.00083590054 0.0011458412 0.00024419566 0.00029115635 0.0007419791 0.0003287249 0.0005823127 0.00056352845 0.00081711623 0.00030994063 0.00036629348 0.0003193328 0.002132016 0.00037568563 0.00038507776 0.00021601924 0.001267939 0.0010237433 0.00061988126 0.0007889398 0.0029491321 0.0007607634 0.00059170485 0.0006292734 0.0009298219 0.0005729206 0.00092042977 0.00036629348 0.008002104 0.001606056 0.002207153 0.0036347585 0.0028552108 0.0003287249 0.0014369976 0.0028458186 0.0018220753 0.0023856037 0.0003287249 0.0006856263 0.0049214815 0.0002535878 0.0011646254 0.0009861748 0.0014088211 0.0003005485 0.0005541363 0.00054474414 0.0016248403 0.00029115635 0.001606056 0.0011458412 0.0018314674 0.00070441054 0.00038507776 0.00083590054 0.0016624089 0.00019723496 0.00027237207 0.0003287249 0.0023104665 0.00045082276 0.0004132542 0.00023480352 0.0018972125 0.00046021488 0.0002535878 0.00029115635 0.013186566 0.0020568788 0.0006950184 0.003869562 0.005560147 0.00023480352 0.0002535878 0.0003193328 0.0026391915 0.000601097 0.00046960704 0.00043203848 0.0023292508 0.0003193328 0.00089225336 0.00072319485 0.0043109925 0.0009016455 0.00054474414 0.00070441054 0.005391089 0.00086407695 0.003268465 0.043908257 0.09779986 1.4361213e-05 3.35095e-05 1.4361213e-05 2.8722427e-05 4.7870712e-06 7.659314e-05 2.3935356e-05 0.0 9.5741425e-06 0.0 0.0 1.4361213e-05 9.5741425e-06 4.7870712e-06 4.7870712e-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 0.01720952 0.00016754749 0.00015318628 0.000100528494 0.00017233456 0.000114889706 0.00030637256 0.00022020527 0.000110102636 0.00015318628 4.308364e-05 0.00047392002 4.787071e-05 4.787071e-05 5.2657782e-05 0.00023456648 0.008329503 9.574142e-05 0.000110102636 0.00030637256 6.7019e-05 5.7444853e-05 0.00013882507 0.000134038 3.829657e-05 0.00012925093 1.9148285e-05 4.308364e-05 1.9148285e-05 2.3935356e-05 5.7444853e-05 0.00023456648 0.037980624 0.0009239047 0.00074199605 0.0018478094 0.0007132736 0.0007132736 0.0026328892 0.0019722732 0.00033988204 0.000100528494 0.00013882507 0.000105315565 0.00041647517 0.000100528494 0.000105315565 0.00018669578 0.03564453 0.001881319 0.0007659314 0.0019483379 0.00070848654 0.00046434588 0.00085688574 0.0011010263 0.00030637256 0.00048349416 0.00088560814 0.00039253983 0.0004978554 0.00034945618 0.0003159467 0.0024174708 0.026376761 0.001685049 0.0006462546 0.00048349416 0.0010340074 0.0009861366 0.0024174708 0.0013451669 0.0007132736 0.00022020527 0.0002154182 0.001215916 0.00038775275 0.00024414062 0.00013882507 0.0011058134 0.0063524432 0.0008185892 0.00018669578 3.829657e-05 3.35095e-05 0.000110102636 0.00020105699 0.000114889706 0.000114889706 0.00011967678 0.00034945618 9.095435e-05 7.659314e-05 3.829657e-05 9.095435e-05 0.0010675169 0.027496936 0.002144608 0.0025898055 0.006304573 0.0030445773 0.002623315 0.012580423 0.00686466 0.0015270757 0.00044998468 0.0004787071 0.00056966144 0.000674977 0.00045955883 0.00040211398 0.00041647517 0.03698491 0.0059646904 0.0027190563 0.0024126838 0.0036477481 0.003954121 0.013250613 0.00686466 0.0033461626 0.000607958 0.00085209863 0.0024749157 0.0014217601 0.00080422795 0.00081380206 0.0021158855 0.014212814 0.0020728018 0.001349954 0.018492455 0.0020632276 0.0017807904 0.0032264858 0.0034179688 0.0021063113 0.0012254902 0.0012733609 0.0012446385 0.0018765319 0.0012494256 0.0013020834 0.0019291897 0.008071002 0.0017233456 0.00060317095 0.00042604932 0.0015893076 0.0014265472 0.00075157016 0.0017281327 0.0038248699 0.00020584406 0.00012925093 0.0004451976 0.0018669578 0.00036860447 0.0017472809 0.004504634 0.05012542 0.018095128 0.0047392 0.0063572302 0.0113836555 0.020842908 0.0072189034 0.010828354 0.032509 0.002699908 0.003374885 0.003365311 0.013016046 0.003365311 0.011216108 0.026352827 0.050144568 0.021187577 0.0065104165 0.008406097 0.013399012 0.020728018 0.007936964 0.012896369 0.032896753 0.0052274815 0.0027382046 0.004351448 0.015782973 0.0068455115 0.016807407 0.02904316 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 689.0 13.483309 9290.0 0.02292788 0.0010764262 0.0016146394 0.0010764262 0.005489774 0.0083961245 0.0024757804 0.0011840689 0.004951561 0.004843918 0.0011840689 0.0013993542 0.0035522066 0.0053821313 0.009903122 0.003767492 0.009687836 0.012917115 0.01517761 0.017115178 0.014747039 0.010226049 0.010548977 0.010010764 0.010010764 0.009580194 0.012486544 0.0074273413 0.009795479 0.010118407 0.00818084 0.011517761 0.0064585577 0.015069968 0.0026910657 0.010764263 0.0073196986 0.0079655545 0.006243272 0.006243272 0.0073196986 0.0067814854 0.0009687836 0.0024757804 0.0083961245 0.0073196986 0.0052744886 0.0041980622 0.011733047 0.004305705 0.0066738427 0.016038751 0.011517761 0.003444564 0.0065662004 0.009472551 0.0035522066 0.003767492 0.0022604952 0.0016146394 0.004843918 0.0011840689 0.0010764262 0.007750269 0.001722282 0.034337997 0.00861141 0.019806243 0.025188375 0.06576964 0.006350915 0.0073196986 0.011410118 0.031324003 0.003121636 0.0038751345 0.031324003 0.014424112 0.031324003 0.033369213 0.017761033 0.001722282 0.04176534 0.031862218 0.055113025 0.014854683 0.0047362754 0.0059203445 0.011194834 0.009041981 0.0023681377 0.00021528525 0.0065662004 0.0023681377 0.0032292788 0.0019375673 5.9710593 2.0 2.0 0.0 3.0 106472.0 12288.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 1126216200.0 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 1024.0 1024.0 4096.0 2.0 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 -512.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1416192 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0054646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -528.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13083386 0.100980274 0.091666974 0.09511162 0.083752416 0.10374991 0.10974846 0.00088377745 0.0024819998 0.0008976952 0.0008397046 0.0008141887 0.0010531101 0.0009788821 0.0010067177 0.0011946074 0.0010322335 0.0008629008 0.001022955 0.0015286334 0.0009788821 0.0008884167 0.0009417681 0.0015611083 0.0016237381 0.0013987344 0.0016399755 0.00086058123 0.0010971831 0.001445127 0.0010090373 0.00086522044 0.0012618764 0.0007492392 0.00080027094 0.002442566 0.004569663 0.0017095642 0.00078403356 0.0008350653 0.00092089147 0.0008768186 0.00089073635 0.0008234672 0.0010763064 0.00085362233 0.00081186905 0.0007863532 0.0012641961 0.0011598129 0.0010020784 0.0010716672 0.0019600838 0.0010090373 0.001078626 0.00093712885 0.001078626 0.0010855849 0.0009000148 0.0010879046 0.0010902241 0.0009580055 0.0010299139 0.0016538933 0.0033379416 0.000948727 0.0008675401 0.00096264476 0.0020389513 0.0038900126 0.0012247625 0.0023799362 0.0039781583 0.00084666343 0.00087217934 0.0008513027 0.002226841 0.0009765625 0.0016237381 0.00086058123 0.0010484708 0.0008629008 0.003869136 0.0011226989 0.0012502783 0.00093712885 0.0009139326 0.0009000148 0.00095568586 0.0008791382 0.0015286334 0.0008165083 0.00097424287 0.0015634279 0.00085594197 0.00079563167 0.0009510466 0.0011644522 0.0009046541 0.0009533662 0.0011737307 0.004270431 0.0009603251 0.0008814578 0.0023358632 0.0010879046 0.0022732334 0.00081186905 0.0010902241 0.00089073635 0.002616538 0.0011319774 0.0010600691 0.0009232111 0.001234041 0.000948727 0.0013245064 0.0009278504 0.00086522044 0.00080722984 0.0016005419 0.00078403356 0.00095568586 0.0014845605 0.00088377745 0.00069356814 0.0007701158 0.0008211476 0.00089073635 0.0009069737 0.00083042606 0.0011644522 0.0012386802 0.0008350653 0.0009162522 0.0009394485 0.0010902241 0.0020807043 0.00097424287 0.001953125 0.0009417681 0.0009324896 0.0008397046 0.0007515588 0.0008049102 0.0017095642 0.0008211476 0.0016608521 0.0010368727 0.0008141887 0.0008141887 0.0008698597 0.0008860971 0.0008420242 0.0015889438 0.0008420242 0.0008860971 0.0007793943 0.0008165083 0.00089073635 0.0016654914 0.0015518297 0.00085594197 0.0009348092 0.00092089147 0.001482241 0.0008976952 0.0008281064 0.0016678111 0.0015912633 0.0008350653 0.0008397046 0.00080259057 0.000756198 0.0014984783 0.0008884167 0.0017930708 0.0007631569 0.00086522044 0.00080027094 0.0009464074 0.0008257868 0.00086522044 0.0009162522 0.0016005419 0.00070516625 0.0006610934 0.0007144448 0.0009881606 0.0007817139 0.0007677962 0.0007701158 0.0011203793 0.0030039155 0.00086058123 0.0008675401 0.000874499 0.00078403356 0.0016654914 0.0018069886 0.0010391924 0.0008976952 0.0015843045 0.00085594197 0.0009788821 0.0008257868 0.00085594197 0.00075387844 0.0009812018 0.0009069737 0.0007515588 0.00081186905 0.00081186905 0.0007330018 0.00080722984 0.00094408775 0.00085362233 0.0008791382 0.0009069737 0.0008141887 0.0007515588 0.0008257868 0.00081882795 0.00085594197 0.0009417681 0.0008443438 0.0008049102 0.0008420242 0.0015541493 0.0009232111 0.0008397046 0.00079331204 0.0016678111 0.0009580055 0.0008513027 0.000967284 0.0010507905 0.00078403356 0.000893056 0.0014984783 0.0008675401 0.0008257868 0.00086058123 0.00080259057 0.00089073635 0.00079563167 0.0009069737 0.00080722984 0.0010183158 0.0008860971 0.0015402316 0.0009278504 0.0009649644 0.00085594197 0.000911613 0.001512396 0.41641438 2.5576637e-05 1.1625744e-05 1.5113467e-05 1.1625744e-05 1.3950893e-05 1.3950893e-05 1.1625744e-05 8.138021e-06 1.9763766e-05 3.0226935e-05 1.7438617e-05 2.4414063e-05 1.7438617e-05 2.092634e-05 1.046317e-05 0.018312871 5.580357e-05 4.99907e-05 4.5340403e-05 4.99907e-05 4.417783e-05 3.952753e-05 5.1153274e-05 5.4640997e-05 4.766555e-05 5.6966146e-05 3.7202382e-05 6.277902e-05 4.3015254e-05 4.8828126e-05 4.766555e-05 0.024382673 0.00013253349 0.00011044457 0.000101143974 0.00011625744 0.0001313709 8.835566e-05 0.00011858259 0.000106956846 0.0001406715 0.00013718379 0.000119745164 0.00014415923 0.00011858259 0.00012207031 0.000119745164 0.012736003 0.0001313709 8.835566e-05 0.00010811942 9.184338e-05 9.53311e-05 7.324219e-05 0.0001046317 7.905506e-05 0.000109281995 0.00015229725 9.0680805e-05 0.00013020834 8.719308e-05 0.00012090774 8.719308e-05 0.016319057 0.0002685547 0.00014648438 0.00015113468 0.00018949962 0.00017322358 0.00011044457 0.00017322358 0.000109281995 0.00020693825 0.00028831846 0.00016624814 0.00028366817 0.00011044457 0.00020228795 0.00014880953 0.017542085 0.00029296876 0.00025227864 0.00023251488 0.0002673921 0.0002360026 0.0002639044 0.00025227864 0.0002511161 0.0002639044 0.00027553012 0.00023832775 0.0002592541 0.00025809152 0.00028948102 0.00025344122 0.014624024 0.0002673921 0.0003045945 0.00026506698 0.00045224145 0.0003266834 0.0004580543 0.0002720424 0.00022088914 0.00025809152 0.000273205 0.00026041668 0.00031389509 0.00023832775 0.00026041668 0.00025227864 0.05271345 0.0008870443 0.0033400762 0.00069986976 0.007519531 0.0031924294 0.008171735 0.0011904762 0.0006219773 0.0007382347 0.0008370536 0.00069870724 0.0008672805 0.00055687316 0.00068010605 0.0006184896 0.013917178 0.00041155133 0.00053827197 0.000382487 0.00083356583 0.00055106025 0.0012207031 0.00060337613 0.000382487 0.00036969865 0.0004092262 0.00033482144 0.0003952753 0.0003266834 0.00036737352 0.00038481213 0.020634534 0.00085797993 0.00080566405 0.0010195777 0.0008254278 0.00078008743 0.001054455 0.0009137835 0.00072777155 0.00080566405 0.00089401973 0.0007556734 0.0008963449 0.00069986976 0.00083821616 0.00082426524 0.03273693 0.0019752139 0.0014346169 0.001491583 0.0017031715 0.001696196 0.0016822452 0.0015997024 0.0014125279 0.0016276041 0.002037993 0.0015090216 0.002018229 0.0012393043 0.0015694754 0.0014090402 0.027128674 0.0025332496 0.0015776134 0.003717913 0.001928711 0.0018426804 0.0015392485 0.0017996652 0.0014381045 0.001985677 0.0025588262 0.0017787388 0.0024402437 0.0014102027 0.0019112723 0.0015520368 0.0171782 0.0015566872 0.0015345982 0.0011962891 0.0019077846 0.001431129 0.0013776507 0.001259068 0.0015008836 0.0013381231 0.0013997395 0.001259068 0.0014474051 0.0011776879 0.0012695312 0.0012613932 0.022014508 0.0033482143 0.0041004 0.0031063987 0.005925642 0.002947126 0.0023146856 0.0025413877 0.0040550595 0.0025739397 0.002868071 0.0023786272 0.0033656529 0.0020496186 0.002742513 0.0027157739 0.011037481 0.0021775018 0.002215867 0.0018240792 0.0021647136 0.0019775392 0.0017089844 0.0017543248 0.0024274553 0.0018089658 0.001920573 0.001696196 0.0021949406 0.0016043527 0.001985677 0.0019775392 0.0088065015 0.003837658 0.0036865235 0.003509812 0.0039074128 0.0038457962 0.003373791 0.0034237816 0.0038864862 0.0037667411 0.0038888115 0.0034202938 0.0039190385 0.0035144624 0.0037899925 0.0037086124 472.0 7.8834743 3721.0 0.008599839 0.0037624293 0.0056436444 0.006181134 0.015855953 0.006987369 0.005912389 0.0029561946 0.009406074 0.0037624293 0.005374899 0.0040311744 0.014780973 0.0056436444 0.011824778 0.0034936846 0.022843322 0.011824778 0.015318463 0.020424617 0.021499597 0.016124697 0.017199678 0.0088685835 0.021230852 0.0075248587 0.0110185435 0.016124697 0.013974738 0.014243483 0.015318463 0.0056436444 0.012899758 0.010481053 0.008599839 0.007793604 0.015587208 0.007793604 0.0037624293 0.011556033 0.0120935235 0.012362268 0.008331094 0.0037624293 0.018274657 0.010749798 0.008599839 0.0051061544 0.014780973 0.006718624 0.009406074 0.013974738 0.015318463 0.008062349 0.005912389 0.010749798 0.009674818 0.0040311744 0.006987369 0.005912389 0.008331094 0.0032249396 0.0051061544 0.007256114 0.010749798 0.013437248 0.006718624 0.010749798 0.018812148 0.026874496 0.006181134 0.009137329 0.0131685035 0.015049717 0.005912389 0.0045686644 0.0239183 0.012631013 0.015855953 0.014243483 0.0131685035 0.006718624 0.018274657 0.012899758 0.0239183 0.004837409 0.0056436444 0.0051061544 0.013437248 0.0056436444 0.006449879 0.005912389 0.008062349 0.0040311744 0.0056436444 0.0056436444 6.3962364 0.0 0.0 0.0 5.0 431104.0 450560.0 1.0 0.0 34.0 1.0 1.0 0.0 0.0 0.0 1543571200.0 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 5.0 0.0 5.0 0.0 411136.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -411136.0 -1536.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.021987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1527267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9794602 -5.009077 3.3545265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -410762.0 -1534.0 3728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 438464.0 3728.0 442368.0 0.0 0.0 0.0 0.0 2416.0 446464.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 438272.0 0.0 0.0 0.0 0.0


Input: 0.3936047 0.0074759535 0.004356628 0.004298133 0.0058571594 0.0035580401 0.002090571 0.0019061837 0.007431446 0.0014051588 0.0015666566 0.0014153318 0.00463766 0.0020409771 0.0011724492 0.0041124737 0.0037068215 0.0016594862 0.0014127886 0.0009766171 0.0020053715 0.0027530938 0.00082783564 0.00087615784 0.0022825883 0.0009817036 0.00079477305 0.0008202058 0.0020040998 0.0010211244 0.0009956917 0.0010274826 0.0032719218 0.0008659847 0.00094991276 0.0009206651 0.0033100708 0.00091049203 0.0008659847 0.00070448685 0.0013123293 0.0008024029 0.00084309524 0.00121187 0.0011406583 0.00078714325 0.0009537277 0.000682869 0.0015577552 0.0013555649 0.0011139539 0.004671994 0.0022813166 0.0011419299 0.0009613575 0.00078078505 0.0014636541 0.0017217963 0.0007769701 0.0023690595 0.0014750988 0.0011864372 0.0008519967 0.00096644403 0.002553447 0.0024707904 0.0018756645 0.0020994726 0.0035783863 0.01859006 0.0031384 0.0017357843 0.002034619 0.0018553182 0.0007693403 0.0009588142 0.0018921957 0.0038657761 0.0015590269 0.0018680346 0.006555288 0.0018400586 0.0017891931 0.0038098241 0.0021121888 0.0024491728 0.0032235996 0.0031384 0.0012919831 0.0040997574 0.0008532684 0.0017357843 0.0010719899 0.0023105643 0.0022126483 0.0019951982 0.0008863309 0.0018489601 0.0009308382 0.0012665504 0.0018006378 0.0035707564 0.0018743927 0.00087742944 0.0032414026 0.0017306978 0.004741934 0.0007095734 0.0018871091 0.0012970696 0.0018743927 0.0018616765 0.0016060774 0.00062183046 0.0020549651 0.0017828349 0.00754335 0.010470659 0.0016124356 0.0013415769 0.0019049121 0.0013072428 0.0012004252 0.0016226086 0.0018718495 0.0030773613 0.001607349 0.0013161442 0.0028586397 0.0015564836 0.00093846803 0.0075547947 0.0029883466 0.006052992 0.0018171691 0.001155918 0.0019417895 0.009405026 0.0014407646 0.017991118 0.0018604047 0.008457657 0.0010618168 0.0011660911 0.0013161442 0.00091049203 0.0013453919 0.0008456385 0.0015717432 0.0011940671 0.00087742944 0.00090159057 0.0012220431 0.0012004252 0.0014000722 0.0014115169 0.0013542933 0.0015539402 0.0010758048 0.0011253987 0.0018896525 0.0008659847 0.0007426359 0.0009791604 0.00091812183 0.0026386466 0.000770612 0.00076679705 0.0017128949 0.0009995066 0.0008240207 0.00071974646 0.0010478288 0.00075280905 0.0007680687 0.0007413643 0.0012487475 0.0007210181 0.0006726959 0.0007502658 0.0010325692 0.0010312975 0.0010491004 0.0015399522 0.0017510441 0.00076679705 0.0012907115 0.00076679705 0.0011368433 0.0011648193 0.0010312975 0.0011177688 0.005914383 0.0015730149 0.0019901118 0.0030532002 0.002072768 0.0013835409 0.0027747117 0.004034904 0.0016683876 0.0031193253 0.0013046995 0.0014216901 0.0015742865 0.0006447199 0.0010198528 0.001082163 0.0015590269 0.0013886275 0.0010758048 0.0009753455 0.0013670097 0.00084945344 0.0013085144 0.0016963637 0.0022622421 0.0022202781 0.0013275889 0.0018769361 0.0016327818 0.001523421 0.0012029685 0.0012347595 0.002266057 0.0015056181 0.0010669034 0.001082163 0.0030239525 0.0014115169 0.0014013438 0.0012131416 0.015258371 0.0028446517 0.000998235 0.0037526004 0.0038199972 0.0010808914 0.0009537277 0.0013415769 0.004031089 0.0011126823 0.0010185812 0.0012576489 0.0021757707 0.001026211 0.0020257176 0.001653128 0.0035109895 0.0015297792 0.0012334877 0.0017980946 0.004192587 0.0028535533 0.0058787772 0.06382473 0.29630002 1.2748858e-06 1.9123286e-06 1.9123286e-06 1.2748858e-06 0.0 8.286757e-06 3.1872144e-06 6.3744287e-06 2.5497716e-06 0.0 5.099543e-06 0.0 5.099543e-06 2.5497716e-06 5.099543e-06 0.001204767 7.649314e-06 1.9123286e-06 5.736986e-06 6.374429e-07 0.0 0.0 5.099543e-06 6.374429e-07 0.0 0.0 0.0 0.0 0.0 0.0 7.904292e-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 0.0022508109 1.2748858e-06 2.2947945e-05 3.824657e-06 8.9242e-06 7.0118717e-06 1.33863e-05 1.2748857e-05 6.3744287e-06 1.9123286e-06 1.9123287e-05 1.2748858e-06 7.968036e-05 2.0398173e-05 2.0398173e-05 0.00014087488 0.0037488015 4.2708674e-05 2.868493e-05 0.00024924017 6.310685e-05 1.5936072e-05 3.314703e-05 4.398356e-05 8.541735e-05 0.0027397296 2.2947945e-05 1.6573515e-05 0.00013513789 1.5298629e-05 3.314703e-05 0.008391935 0.0028104857 1.0199086e-05 2.0398173e-05 8.9242e-06 0.002048104 0.0012965589 9.242922e-05 5.35452e-05 2.8047487e-05 0.00044429768 0.00018358356 2.3585386e-05 7.3305935e-05 2.1035616e-05 2.2947945e-05 0.0020009333 0.0039604325 5.4820088e-05 5.099543e-05 0.000116014606 0.0008191141 0.00046915797 0.00011410227 8.0955244e-05 0.00023202921 0.00022756711 4.9720544e-05 4.7808215e-05 0.00019059543 5.8007303e-05 0.00016828493 0.0011932931 0.011546641 0.00020015707 0.0009982355 0.00048126938 0.0017057972 0.00044621003 0.002800924 0.0039687194 0.0033969332 0.0001931452 0.00023521643 5.35452e-05 0.00036334243 0.0022112895 0.0029092894 0.0115702255 0.013608131 0.0008484365 0.00058517256 0.000948515 0.0018683451 0.0010141716 0.0011735323 0.0012500255 0.0005807105 0.00070819905 0.00068015157 0.00053035247 0.0006654904 0.0015604602 0.000882221 0.0031221951 0.014200953 0.0007062867 0.0009364036 0.00078724197 0.0035250592 0.0020806135 0.005568064 0.0035358956 0.001260862 0.0009083561 0.0007611068 0.0010077972 0.00077831774 0.00070246204 0.00053863926 0.003171916 0.0058211284 0.00037800363 0.0003862904 0.0002970484 0.0008012657 0.00040987576 0.0015719342 0.0014157606 0.0005182411 0.00032382098 0.00016573515 0.00046788307 0.00034103193 0.00041370044 0.00044939722 0.0032101623 0.0028646684 0.00019569497 0.0001931452 0.00042389953 0.0007247726 0.00037481642 0.0007713059 0.00063808035 0.00033083285 8.0317805e-05 0.00015234885 0.0001963324 0.000116652045 0.00012876347 0.00016446026 0.00047680727 0.0020436419 0.00031553424 0.00029832328 0.00018167122 0.0010084347 0.00027601278 0.0001529863 0.0003805534 0.0014482703 0.00027728765 0.00055202557 0.00025625204 0.0004398356 0.00016828493 0.0006195945 0.002025156 0.0440983 0.007077528 0.004884725 0.0068875705 0.017034385 0.012929891 0.0059192944 0.011955242 0.029691452 0.0024484182 0.0032331103 0.0038259323 0.012083367 0.0049025733 0.014604454 0.028606525 0.036403727 0.0073312307 0.004703691 0.0080725765 0.014769551 0.014496726 0.006095866 0.011480983 0.023846738 0.0027671396 0.0031776528 0.0038048965 0.012584398 0.005407428 0.014906602 0.028584214 0.006475145 0.0069181677 0.006345744 0.0061481367 0.0064942683 0.0066593657 0.006037859 0.0061149895 0.006888208 0.008099987 0.007809313 0.0067645437 0.006741596 0.0078035756 0.007649952 0.0067097237 2240.0 12.703125 28455.0 0.018661045 0.0014408715 0.002038306 0.0023194517 0.0022843087 0.0019328764 0.001511158 0.0018625901 0.0029168862 0.0010542963 0.0014057284 0.001194869 0.0019680196 0.0020031629 0.0040063257 0.0017220172 0.0056580566 0.004252328 0.0037954666 0.009031804 0.022386223 0.0051660514 0.0024248813 0.0014760147 0.0022843087 0.0024951678 0.0017923036 0.0013002987 0.0047091898 0.002038306 0.0016165876 0.005376911 0.0021437358 0.02069935 0.020101916 0.020875067 0.0151818665 0.038727816 0.010999824 0.014725004 0.012546126 0.029871726 0.002038306 0.0072043575 0.018239325 0.012089264 0.0186259 0.017395888 0.015146723 0.0027060271 0.024811106 0.029977158 0.028219996 0.010964681 0.010472676 0.014057283 0.0028114568 0.0065014935 0.004498331 0.006290634 0.0024600246 0.0014408715 0.0040063257 0.007626076 0.0016165876 0.024740819 0.0076612197 0.013424706 0.014479002 0.052890528 0.007801792 0.0069934987 0.008364083 0.023510806 0.007380074 0.0033034617 0.021437358 0.01412757 0.024846248 0.027727991 0.012546126 0.0021437358 0.02727113 0.021015638 0.042628713 0.013846424 0.0046037603 0.0087506585 0.006009489 0.0071692145 0.005728343 0.0199262 0.001686874 0.0049903356 0.002178879 0.0016165876 5.968314 0.0 0.0 5.0 5.0 786388.0 901120.0 0.0 0.0 400.0 0.0 1.0 0.0 0.0 0.0 2694881500.0 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 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 320512.0 1024.0 4096.0 6.0 0.0 0.0 3.0 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 277504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -409088.0 0.0 89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7015142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0589223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.505935 0.0 5.025981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 298782.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -87636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -410429.0 0.0 88600.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 2.0 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 -1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 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 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 3.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 -2.0 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 1.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 2.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 280.0 355796.0 88600.0 458752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1736.0 327680.0 0.0 0.0 0.0 0.0


Input: 0.021534346 0.004500183 0.0037549115 0.0038634182 0.003957648 0.003807737 0.003592151 0.003694947 0.004281741 0.0036321273 0.0035007766 0.003673531 0.0036578262 0.003980492 0.0037277846 0.0042746025 0.0038120202 0.003859135 0.0036778143 0.0043417057 0.0036906637 0.0040261787 0.0035007766 0.0037591946 0.0035136263 0.003572163 0.0035378975 0.0036763866 0.0036449768 0.003844858 0.0037092243 0.0036992303 0.0036192776 0.0037077966 0.003627844 0.0037991707 0.0038577074 0.003921955 0.0037077966 0.0037492004 0.0037277846 0.0036149945 0.003525048 0.0038205867 0.003669248 0.0037392064 0.003750628 0.003839147 0.0037077966 0.0036478322 0.0036306994 0.0039647864 0.0037320678 0.0038248699 0.0035907233 0.0037563392 0.003643549 0.004004763 0.0041618124 0.0039333766 0.0041047037 0.0041161254 0.0038205867 0.003844858 0.004544442 0.0036820974 0.0040133293 0.0038562797 0.0038891174 0.0044973274 0.0038477133 0.003700658 0.0035850124 0.0036963748 0.003864846 0.0036549708 0.00364926 0.00395622 0.003844858 0.0039876304 0.0043060123 0.003807737 0.0036721034 0.004184656 0.0036578262 0.0037334955 0.0039647864 0.004117553 0.0038034539 0.0036806697 0.0036563985 0.0037320678 0.0037092243 0.0039076777 0.0038634182 0.0038420025 0.003622133 0.0037534835 0.003509343 0.0038434302 0.003782038 0.004303157 0.0037906044 0.003910533 0.003910533 0.0039976244 0.004097565 0.0037177906 0.0037706164 0.003757767 0.00395622 0.004158957 0.0038791234 0.0039048223 0.004070438 0.0040161847 0.0045858463 0.004538731 0.003659254 0.004010474 0.0037948876 0.0038320085 0.0037848935 0.003839147 0.0037734718 0.0041418243 0.0038277253 0.003864846 0.0036706757 0.003679242 0.0035578855 0.003961931 0.0035978619 0.0036849529 0.00344224 0.0034807886 0.003694947 0.0041161254 0.003679242 0.0047957213 0.0036249885 0.0039033946 0.003772044 0.003525048 0.0035650241 0.0035650241 0.0035950064 0.0036506876 0.0035064875 0.0036378382 0.0036806697 0.0036192776 0.0034550896 0.0037163629 0.003550747 0.0037049411 0.0036035727 0.003736351 0.0038677014 0.0039547924 0.0036292716 0.0036349827 0.0037292123 0.0037149352 0.0036706757 0.0034979212 0.0035007766 0.0036321273 0.0035079152 0.0036164222 0.003525048 0.003663537 0.003515054 0.0035650241 0.003694947 0.003772044 0.003503632 0.0036135667 0.0035593132 0.0036349827 0.0035464638 0.003612139 0.0036749588 0.0037349232 0.0036563985 0.0035536024 0.0037049411 0.003669248 0.00373064 0.0037492004 0.0039776363 0.0039005391 0.0040675825 0.0036506876 0.0037063689 0.0037120797 0.0038205867 0.0036606817 0.0037606223 0.0038776956 0.0038177313 0.003807737 0.0036678202 0.0037120797 0.0037706164 0.0035236203 0.0036606817 0.0039933412 0.0037863213 0.0037249292 0.003639266 0.0037063689 0.0036978025 0.0038005984 0.003694947 0.0037092243 0.0038677014 0.00358644 0.0036606817 0.0037277846 0.0039290935 0.0038320085 0.003859135 0.0038634182 0.003859135 0.0037920321 0.003930521 0.0038048816 0.0038677014 0.0037277846 0.0038277253 0.004086143 0.0046201115 0.0039148163 0.003961931 0.0042503313 0.00400048 0.0036763866 0.0039048223 0.0039190995 0.0040333173 0.003910533 0.0038819788 0.0037020857 0.003864846 0.0038948283 0.00400048 0.0039633587 0.0041775173 0.0039505092 0.003951937 0.004137541 0.004328856 0.004544442 0.004328856 0.010823567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017808325 3.0740986e-05 7.292048e-05 3.5745332e-05 0.0001179596 6.648632e-05 0.00034029558 0.0002795285 7.363538e-05 2.2877013e-05 1.1438507e-05 1.1438507e-05 1.6442853e-05 1.286832e-05 1.5727946e-05 3.9319868e-05 0.00317919 0.00018659064 0.00024950242 0.00027309434 0.00056763587 0.00028810737 0.0014219494 0.00071347685 5.576272e-05 9.222296e-05 4.2179494e-05 2.2162107e-05 2.788136e-05 3.2885706e-05 3.5745332e-05 0.00013225773 0.0026380057 0.00025951111 0.00022162107 0.0002359192 0.00043180364 0.00027380924 0.0007956911 0.00057549984 9.222296e-05 9.9372024e-05 5.9337253e-05 7.077576e-05 0.000107236 0.00013511736 0.0002051782 0.0011195438 0.00673728 0.0012081922 0.0005247415 0.0011688723 0.0013054196 0.0010587767 0.00053046073 0.00034815955 0.00035888315 0.0002459279 0.0002037484 0.00020875274 0.00068059115 0.0008900588 0.0013304413 0.0051616263 0.0020474927 0.00035959805 0.00071204704 0.000742788 0.00044181233 0.0007399284 0.00074493274 0.00028739247 8.2929175e-05 9.9372024e-05 0.00019874405 0.0002044633 0.000112955255 0.00021018255 0.00029883097 0.001501304 0.0031806198 0.0005276011 0.00023305957 0.00044252723 0.000934383 0.0007485073 0.00041464585 0.00076852465 0.0012353588 0.00015370494 0.00015299003 0.00013082792 0.0006019514 0.00026308565 0.0007985507 0.0011266929 0.0048227604 0.001087373 0.00065699924 0.0008393004 0.0018623319 0.0014591245 0.00067844643 0.00160854 0.0019409716 0.00029597135 0.0002580813 0.00027595396 0.0009136507 0.00043037382 0.0012546612 0.002113264 0.05454666 0.056235988 0.05704026 0.057780188 0.0566442 0.057044547 0.056949466 0.05896336 0.056389693 0.057447754 0.0569752 0.0579296 0.057787336 0.058138356 0.05923359 0.06036672 3424.0 6.724883 23026.0 0.010336142 0.012594459 0.009728134 0.010292713 0.010205855 0.015069921 0.008729262 0.009684704 0.009337271 0.010466429 0.007773821 0.0085555455 0.007904109 0.009293842 0.010292713 0.009120125 0.008598975 0.007252671 0.007860679 0.009120125 0.008642404 0.0089464085 0.007209242 0.008425258 0.008164683 0.012073308 0.009684704 0.008077825 0.016329367 0.012551029 0.010640146 0.008772692 0.009337271 0.012768175 0.008816121 0.010596717 0.010205855 0.0094241295 0.010075566 0.009945279 0.007382958 0.009771562 0.00781725 0.007904109 0.009120125 0.010640146 0.008902979 0.010118996 0.012160167 0.010640146 0.011943021 0.015243637 0.009337271 0.009728134 0.009684704 0.010032138 0.0083384 0.010032138 0.008294971 0.0083384 0.00781725 0.008989838 0.006992096 0.0074698166 0.0076869624 0.014939633 0.009206983 0.0118127335 0.01307218 0.026839225 0.0122904545 0.011031008 0.0094241295 0.017805958 0.009120125 0.008902979 0.015026492 0.012377312 0.01511335 0.0177191 0.010509859 0.008294971 0.016285937 0.015243637 0.020281421 0.0113350125 0.008642404 0.010423 0.010075566 0.010336142 0.007513246 0.007860679 0.007773821 0.008121254 0.007860679 0.0074698166 6.5292053 1.0 1.0 0.0 10.0 700416.0 274432.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 5.968544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 25376.0 0.0 0.0 0.0 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 25376.0 245760.0 0.0 0.0 6504.0 59782504.0 0.0 0.0 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