Input: 0.026802503 0.003973847 0.003876808 0.0038633598 0.0038385727 0.0038364632 0.00377555 0.0038190593 0.0038351447 0.0036716552 0.0037270307 0.0037391605 0.0038293435 0.0037425887 0.0037737044 0.0038406823 0.0037236027 0.0037708038 0.0037373148 0.0037346778 0.0036977609 0.0037779233 0.0037286128 0.003756037 0.0037383696 0.0037491808 0.0036331562 0.003709627 0.003714901 0.0036621625 0.0037059353 0.0037201748 0.0037228116 0.0037589376 0.0037254486 0.0036679637 0.0037030347 0.0036808846 0.0036885317 0.00370699 0.0037138462 0.0036877405 0.0036661178 0.003677984 0.0037908442 0.003702771 0.0036682272 0.0036903776 0.0036832578 0.0036429127 0.0036550427 0.0037918992 0.0037022436 0.0037156919 0.0036758743 0.0036510872 0.0037025074 0.003742061 0.0036721826 0.0037167468 0.0036526695 0.0036972335 0.0036600528 0.00368484 0.0038902564 0.0037017162 0.003652933 0.0037520814 0.0037251848 0.0038282888 0.0037373148 0.0037048806 0.0036916959 0.0037265033 0.0036516148 0.0037025074 0.0036682272 0.0036874767 0.003713055 0.0036827305 0.003760256 0.0036824667 0.0036740284 0.0037742318 0.0036964423 0.0036840488 0.0037557732 0.0037573553 0.0036679637 0.0037048806 0.0036874767 0.003686422 0.0036977609 0.0037615744 0.0036450224 0.0037394243 0.0037101544 0.003708836 0.0036953876 0.0036858947 0.0036887953 0.0037763412 0.0037771324 0.0036774566 0.0037668482 0.003739688 0.003724394 0.0037494446 0.0037642114 0.0036861585 0.0037402154 0.003781615 0.0037512905 0.0036845761 0.0037729132 0.0037578829 0.0038158952 0.0038688974 0.0037006615 0.0036853673 0.003718065 0.003730986 0.0037138462 0.0036347383 0.0037663209 0.0037265033 0.0036832578 0.003685631 0.003773968 0.003749972 0.0037742318 0.003733623 0.0037220207 0.0037323046 0.0036895864 0.0036397486 0.0036721826 0.003788471 0.0037283492 0.0038443739 0.0037270307 0.0037394243 0.0037098906 0.003689059 0.0036276185 0.0037207021 0.0037085724 0.0037623656 0.0037338866 0.0037133186 0.003730195 0.0037188563 0.003732041 0.0038061384 0.0037046168 0.0037444343 0.0037489173 0.0037323046 0.0037507631 0.0037056715 0.003780033 0.003735469 0.0037214933 0.0037207021 0.0037025074 0.0037162194 0.0037512905 0.0036916959 0.0036518783 0.003665854 0.0036502962 0.0037304587 0.0037127913 0.0036437039 0.0036682272 0.0037304587 0.0036621625 0.0036851035 0.0037117365 0.00363843 0.0036526695 0.0037009253 0.0036542516 0.00365557 0.0037589376 0.0037093633 0.0037006615 0.00370699 0.0037106818 0.0036576795 0.0036537242 0.0036661178 0.003772386 0.0037312498 0.003677984 0.0036545154 0.0036727102 0.003743116 0.003738897 0.0037154283 0.003677984 0.0037286128 0.003722548 0.003714901 0.003712264 0.003718065 0.003682994 0.0037715947 0.0038214326 0.003810885 0.003780824 0.0038053475 0.003797173 0.003785043 0.0038124672 0.003847011 0.0038525483 0.0038905202 0.003952488 0.0038979035 0.003835672 0.0038438465 0.0038551854 0.0038744349 0.0038396274 0.0038599318 0.0038414733 0.0039182077 0.003882082 0.0039466866 0.004060602 0.0040463624 0.004096464 0.0039118794 0.003847011 0.003975429 0.0040265853 0.0040334417 0.004097255 0.004359893 0.0044822465 0.004081697 0.0040076 0.0039440496 0.0039833398 0.004227519 0.0044479663 0.004371232 0.0041557946 0.0045463233 0.0043037264 0.0041191415 0.0040402976 0.0045629363 0.0068372847 0.011629634 0.00026313373 3.5612084e-06 1.4508627e-06 5.2758645e-07 2.6379323e-07 1.3189661e-07 0.0 0.0 1.3189661e-07 1.3189661e-07 0.0 1.3189661e-07 2.6379323e-07 1.3189661e-07 2.6379323e-07 0.0 0.001027079 1.0683625e-05 3.825002e-06 1.5827593e-06 1.4508627e-06 1.0551729e-06 3.9568982e-07 5.2758645e-07 1.4508627e-06 1.4508627e-06 7.9137965e-07 7.9137965e-07 2.6379323e-06 1.1870695e-06 8.57328e-06 1.7014663e-05 0.0026610142 1.7674145e-05 9.3646595e-06 8.17759e-06 3.033622e-06 2.7698288e-06 3.5612084e-06 4.088795e-06 8.705177e-06 2.374139e-06 1.4508627e-06 3.033622e-06 6.331037e-06 1.1475005e-05 3.825002e-05 0.00019006302 0.0027303917 2.295001e-05 1.0287936e-05 6.9905204e-06 5.012071e-06 4.088795e-06 2.2422423e-06 6.462934e-06 6.5948307e-06 5.5396576e-06 7.9137965e-07 4.3525883e-06 1.3981041e-05 1.0156039e-05 7.227934e-05 0.00033937 0.0027533418 2.9808634e-05 1.6091386e-05 8.441383e-06 5.5396576e-06 3.4293118e-06 4.6163814e-06 7.38621e-06 9.3646595e-06 1.2530178e-05 4.088795e-06 5.8034507e-06 2.9676738e-05 2.8225875e-05 0.00013308368 0.00046018726 0.002106125 1.437673e-05 9.232763e-06 5.5396576e-06 1.1343109e-05 5.8034507e-06 1.5827593e-05 7.38621e-06 1.0156039e-05 8.8370725e-06 2.7698288e-06 3.5612084e-06 1.7806042e-05 1.93888e-05 0.0002606277 0.0007427098 0.0019111818 3.2182772e-05 2.453277e-05 9.628453e-06 1.2266385e-05 1.5431904e-05 1.4904317e-05 1.1211212e-05 1.4640524e-05 2.6379323e-05 6.067244e-06 1.0815522e-05 3.811812e-05 7.729141e-05 0.00020153802 0.00056517695 0.002654551 7.8478486e-05 4.893364e-05 1.9652594e-05 2.1235353e-05 2.453277e-05 2.8885357e-05 4.8801747e-05 3.7590533e-05 0.00010973798 8.283107e-05 3.2974152e-05 7.465348e-05 0.00040202087 0.0009840806 0.0034547679 0.004738386 0.00025073547 0.00010419832 4.6031917e-05 4.431726e-05 7.8478486e-05 0.0001555061 0.00018320439 0.000121608675 0.00044145796 0.00022752165 0.00010775953 0.00030876996 0.0016833964 0.0025185659 0.010600003 0.0013730437 4.748278e-05 4.550433e-05 2.295001e-05 9.615263e-05 7.030089e-05 0.0002760596 0.0001477242 3.5612084e-05 9.641642e-05 5.209916e-05 2.651122e-05 4.154743e-05 0.00025508803 0.00025126303 0.0012141083 0.00080061244 3.152329e-05 4.1943124e-05 3.8381913e-05 6.027675e-05 4.893364e-05 0.00018610612 0.0001089466 4.2338812e-05 4.748278e-05 2.413708e-05 2.9808634e-05 3.9041395e-05 3.5743982e-05 8.863452e-05 0.00026695873 0.00036020964 1.8201732e-05 1.7674145e-05 2.0443975e-05 6.489313e-05 2.9281047e-05 7.5312964e-05 5.104399e-05 5.605606e-05 2.2818114e-05 8.57328e-06 7.1224167e-06 2.5719839e-05 7.913796e-06 1.7278457e-05 2.7830185e-05 8.678797e-05 4.6163814e-06 1.8729319e-05 1.9652594e-05 8.8370725e-06 7.650004e-06 5.750692e-05 3.231467e-05 5.012071e-06 4.6163814e-06 3.825002e-06 4.3525883e-06 4.4844846e-06 4.2206916e-06 2.6379323e-06 4.8801744e-06 0.00056966144 0.00011198022 5.104399e-05 9.417418e-05 0.00020720958 0.0001789837 0.000110001776 0.00014640523 0.00029399755 1.6091386e-05 2.5324149e-05 3.231467e-05 0.0001089466 4.66914e-05 0.00012253196 0.0003157605 0.0009056021 0.00020668199 0.00012952246 0.00016843197 0.0003656174 0.00028845787 0.00019151387 0.00023596303 0.00042220106 4.2338812e-05 8.006124e-05 6.7662964e-05 0.00016513455 7.79509e-05 0.0002256751 0.0004790485 0.058915313 0.058683045 0.05872459 0.058579504 0.058613535 0.05862422 0.058551017 0.05870982 0.058653105 0.058812037 0.058754534 0.058592696 0.058566183 0.058812566 0.058822986 0.05907702 16704.0 5.74563 95975.0 0.009960927 0.009981766 0.009981766 0.0095545715 0.0095233135 0.0101901535 0.010804897 0.0098254755 0.009690023 0.009794218 0.010044282 0.0098879915 0.01040896 0.010513155 0.010117218 0.0098254755 0.009940089 0.008981505 0.010127638 0.0101901535 0.010231831 0.010440219 0.009815056 0.010450638 0.010210993 0.0102214115 0.010138057 0.009867153 0.009971347 0.01007554 0.009731701 0.0101588955 0.010169315 0.010481896 0.010013024 0.011169575 0.01008596 0.009929669 0.010336025 0.010898671 0.010638187 0.011054962 0.01025267 0.009658765 0.010867413 0.010356864 0.0094087 0.0104298 0.010450638 0.010263089 0.010325606 0.010315186 0.0098254755 0.0105235735 0.00975254 0.011179995 0.01007554 0.009648346 0.0104298 0.010117218 0.010356864 0.010179734 0.01040896 0.010794478 0.009617087 0.01194061 0.010336025 0.0107528 0.01158635 0.013930711 0.010846575 0.010575671 0.010856994 0.011773899 0.010117218 0.010065122 0.011982287 0.010721542 0.011669706 0.012076061 0.010440219 0.009585829 0.012023965 0.011294608 0.012346965 0.011419641 0.010659026 0.010169315 0.010377702 0.010554832 0.010210993 0.010002605 0.01007554 0.010304767 0.010377702 0.01025267 6.581619 0.0 0.0 0.0 51.0 3792295.0 2052096.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1233171700.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 25600.0 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 6656.0 0.0 0.0 0.0 0.0 0.0 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 -25600.0 0.0 222720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0396504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3626225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.482916 0.0 4.955517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1363968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6346.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -419452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25140.0 0.0 222320.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -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 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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 180.0 35312.0 222320.0 1826816.0 0.0 0.0 6600.0 10816480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.06764544 0.0060888254 0.0041261064 0.0046225823 0.0052301856 0.0043235775 0.0041580857 0.0036584118 0.0053932793 0.0031459464 0.0032226963 0.0034289616 0.005424459 0.0045074574 0.0030811885 0.00945063 0.01032446 0.00793482 0.0027789858 0.0027470067 0.0037935236 0.004728913 0.0028269545 0.0026550668 0.0039134454 0.002852538 0.0027414104 0.0028005717 0.003414571 0.0033162353 0.0028133634 0.003011634 0.004183669 0.0027933766 0.0028685273 0.002993246 0.0043067886 0.0035608755 0.0028533374 0.002886116 0.003451347 0.0027382125 0.0030076366 0.003456144 0.0031443473 0.0030340194 0.0028357487 0.002817361 0.003468136 0.0029053034 0.0027446083 0.0045090565 0.003342618 0.003305842 0.002921293 0.0027446083 0.003451347 0.0033658028 0.0027813844 0.0033402196 0.003245881 0.003509709 0.0026782516 0.0028165614 0.0045002624 0.003986198 0.004060549 0.0039094477 0.0044307075 0.0056675 0.0046161865 0.0050878786 0.0038726719 0.0030612017 0.0028909128 0.0028581342 0.0035137061 0.0035976514 0.0030076366 0.003034819 0.004485072 0.003157139 0.0043187807 0.0037831303 0.0037519508 0.0037295653 0.0033849904 0.0032738629 0.0032194983 0.0031547407 0.0027669936 0.0028637305 0.0032746622 0.0034137715 0.0031843213 0.0030572042 0.0035113078 0.00310997 0.002683848 0.0030891835 0.0036112426 0.0036656072 0.0038087138 0.002953272 0.015597018 0.0051598316 0.003412972 0.0027094313 0.0034377559 0.0030795897 0.0033186337 0.0033586074 0.0036312295 0.0029188946 0.0032970477 0.0034945188 0.0043539577 0.004172476 0.0028389466 0.0027334157 0.003342618 0.0029268893 0.002973259 0.002832551 0.0032570737 0.003265868 0.0030324205 0.0029364831 0.005344511 0.0036815966 0.0028317515 0.0054108677 0.0052685607 0.007036207 0.0030787901 0.002770991 0.0041524894 0.0059617083 0.0030580037 0.010841723 0.0032115036 0.005350907 0.0028613321 0.0028029701 0.0034049773 0.0027350145 0.0026798507 0.0028165614 0.0030779906 0.0030803892 0.0027510042 0.0027725901 0.0033658028 0.0026614626 0.002749405 0.002832551 0.0031699308 0.0028621317 0.002810965 0.002993246 0.0037311644 0.004153289 0.002918095 0.004645767 0.0031467457 0.00269584 0.0026222882 0.0028485404 0.0035392896 0.0028949103 0.0027701915 0.0028365483 0.003209105 0.0028701264 0.0027382125 0.0029436783 0.0036632086 0.0028341499 0.0027222228 0.002842944 0.003210704 0.0031091704 0.0037335628 0.0030148318 0.0062934915 0.0032194983 0.002902905 0.002774189 0.0031547407 0.0030212277 0.003177126 0.0029436783 0.0050606965 0.004812858 0.0032394852 0.0051278523 0.0034977167 0.0027765874 0.0037111773 0.006470976 0.0039694086 0.00304841 0.0029612668 0.00286453 0.004649765 0.0026870458 0.0029236914 0.0030540063 0.0038406928 0.0030044387 0.0029620663 0.00284934 0.003212303 0.00265027 0.0028045692 0.0028213582 0.0036040472 0.0028621317 0.0026998376 0.00286453 0.0035640735 0.0031163655 0.002889314 0.002755801 0.004130104 0.0028869153 0.0028013713 0.0028981082 0.0036440212 0.0030228267 0.0028797202 0.002630283 0.0052717584 0.0048872097 0.002866129 0.0030492095 0.0036975862 0.0027853816 0.0029484753 0.0029756576 0.004178872 0.0028301524 0.0027933766 0.0032003107 0.003727167 0.003158738 0.0033634044 0.003098777 0.004103721 0.0032218967 0.0030795897 0.0036903908 0.0041420963 0.003578464 0.004062948 0.023777278 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030269434 0.00011686732 0.00023093302 0.00018570697 0.0004782755 0.00017490075 0.00073082093 0.0005279041 0.000631964 8.444864e-05 0.000110063396 0.00013007493 0.00019251088 0.00020371734 0.00045626282 0.0009153272 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055115744 0.00076043804 0.0005351082 0.0007820505 0.0013119557 0.0012155002 0.0008789062 0.0011206454 0.002808818 0.0003381948 0.00031258006 0.0005439133 0.0013956039 0.00048948196 0.0014036085 0.0027227683 0.042940333 0.014012471 0.0069944286 0.007545146 0.0127085205 0.009754418 0.01364666 0.007040055 0.019588483 0.0054523405 0.007525935 0.008374424 0.012108575 0.005911405 0.008292376 0.018104428 0.065775484 0.047071513 0.041695215 0.04174004 0.04529609 0.042302366 0.04663166 0.040386062 0.04951532 0.040319625 0.041956566 0.04276223 0.045929655 0.04125256 0.04213827 0.04817815 4605.0 7.0034747 32251.0 0.018294007 0.006790487 0.008092772 0.00753465 0.008712908 0.008495861 0.0066044466 0.008154786 0.007658677 0.007348609 0.0075656567 0.00753465 0.007255589 0.0075656567 0.008247807 0.008123779 0.008929956 0.007875725 0.0072865956 0.007875725 0.008495861 0.007658677 0.007782704 0.0066044466 0.007100555 0.00830982 0.007348609 0.0072865956 0.0074416297 0.007906731 0.007348609 0.0073176026 0.008712908 0.00917801 0.008991969 0.010077207 0.009767139 0.008805929 0.011224458 0.009084989 0.009674119 0.008123779 0.006635453 0.0066974666 0.009767139 0.008061766 0.007968745 0.0076276707 0.009736132 0.007813712 0.0077206907 0.0100462 0.01013922 0.0077516977 0.009674119 0.009767139 0.008619888 0.0075656567 0.008371834 0.007348609 0.009674119 0.007255589 0.007813712 0.010759356 0.008650894 0.018666089 0.008929956 0.015503395 0.01497628 0.032712165 0.00986016 0.011100431 0.02278999 0.026138725 0.008681902 0.00753465 0.016433598 0.017394809 0.020309448 0.025828656 0.014170104 0.011968621 0.023627175 0.025425568 0.025270535 0.012836811 0.009209016 0.008650894 0.009798146 0.0100462 0.008805929 0.007224582 0.008464854 0.007348609 0.0076276707 0.0070075346 6.4453206 0.0 2.0 0.0 18.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.13495314 0.011841683 0.0062963963 0.0056292387 0.011485816 0.0036916572 0.004253318 0.002920488 0.010707217 0.0014502143 0.0013618047 0.0014123245 0.0065950574 0.0024873551 0.0013610617 0.014041522 0.034595635 0.0032949285 0.0029011716 0.0052131936 0.0046396456 0.002395231 0.0015230222 0.0007043049 0.0037087447 0.0011723556 0.00056909025 0.00061515236 0.0026782902 0.0006374405 0.00054383033 0.0028967138 0.007742896 0.00048885297 0.0014747313 0.0021604626 0.010745107 0.0015051917 0.0004702795 0.00066492916 0.0021515475 0.00054754503 0.00066047156 0.0035765017 0.0018974628 0.0008038585 0.0017221294 0.0008907822 0.004596555 0.002285276 0.0019687847 0.0056054643 0.002752584 0.0022793326 0.0021032565 0.0018276266 0.003086906 0.0020638807 0.0039108237 0.004980654 0.002657488 0.001715443 0.0016864685 0.0020386209 0.0040720413 0.0031552562 0.0027592704 0.0023261376 0.005433103 0.017173747 0.0051128967 0.0029034002 0.002465067 0.001881861 0.0014219827 0.00090044044 0.0023484258 0.009172308 0.0016782961 0.0011745844 0.01336099 0.0036374226 0.0028060754 0.0028877985 0.0034873493 0.0037912107 0.0048558405 0.0034695189 0.0015787425 0.0016173752 0.0007243642 0.0017132142 0.0015742849 0.0027288098 0.0029494625 0.002916773 0.0014851324 0.004122561 0.0009524461 0.0025527338 0.005968761 0.0066054584 0.0027176659 0.0013254008 0.007811989 0.0042087417 0.005532657 0.00070207607 0.0037414338 0.0014048951 0.0033855669 0.004037123 0.0027332676 0.0006181241 0.007441263 0.004071298 0.011960553 0.0071366588 0.0023261376 0.0017644769 0.0020564513 0.0011820138 0.0005096552 0.00054160156 0.0016262905 0.0022057819 0.0015564543 0.0010378839 0.0031025077 0.0027793297 0.000833576 0.019645499 0.0039836317 0.008688656 0.0013603189 0.001060172 0.0023439683 0.012425632 0.0015884007 0.04119292 0.0011314941 0.020193044 0.00065824273 0.0005111411 0.0016411493 0.00033209313 0.00044650552 0.001155268 0.0010155957 0.00089301105 0.00045764958 0.00031946317 0.0012154459 0.00042124564 0.00033580782 0.00034843775 0.0009814206 0.0005096552 0.00045096315 0.00036849707 0.00135809 0.0026166264 0.00036106768 0.0013528895 0.0010534856 0.0005029688 0.00036255358 0.00037072587 0.0015638837 0.0003313502 0.0005624038 0.00044501966 0.0011106918 0.0004108445 0.00032614963 0.00036032475 0.0015921154 0.00039227106 0.0003632965 0.00041010158 0.0011827567 0.0009962794 0.0007837992 0.00046285015 0.0030445585 0.0006887032 0.0015898865 0.0005215422 0.0013840928 0.0007652258 0.0006129235 0.00046062135 0.006991786 0.0057354784 0.0045668376 0.0030207844 0.0073699416 0.001632234 0.006780049 0.01179562 0.004297151 0.0020051887 0.001142638 0.0012496212 0.027564472 0.0009940505 0.0019866151 0.0016285193 0.0035675864 0.001060172 0.0008840958 0.00047696597 0.0018707169 0.0009992511 0.0010884036 0.0014048951 0.0036634256 0.0006775591 0.00047250834 0.0008008868 0.0012451635 0.0004777089 0.00053120044 0.00042941797 0.0020207905 0.0006158953 0.0003826129 0.00044056203 0.0015274797 0.0012563076 0.0004947965 0.00039970045 0.01916482 0.0053276056 0.00059732184 0.0025237591 0.0048328093 0.0004398191 0.00049405353 0.0006181241 0.004228801 0.0027600133 0.0017771068 0.0013974657 0.0029687788 0.00085140654 0.001930152 0.001690926 0.0036604537 0.0025542197 0.0032919566 0.0014695306 0.008918223 0.0017785927 0.005277829 0.050126746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005254695 7.958278e-05 1.0784582e-05 2.603175e-06 7.8095245e-06 4.462586e-06 2.603175e-06 3.3469394e-06 4.8344677e-06 1.4131521e-05 4.462586e-06 2.231293e-06 5.9501144e-06 6.6938787e-06 2.603175e-06 8.4045365e-05 0.014142678 0.0024414062 0.0011532066 0.0002331701 0.00034213156 0.00032204992 0.0024071932 0.0012513835 0.0001874286 0.00054034474 0.00020304765 0.0001584218 0.00021085718 0.00015061226 0.000117514755 0.0020334516 0.021177944 0.004957189 0.0031379415 0.0015109571 0.0011889072 0.0010989117 0.008702414 0.0041513206 0.00041278917 0.00047786854 0.00025064856 0.0002978776 0.0002792835 0.00037225403 0.00032688442 0.002684989 0.004235366 0.000690957 0.0028374607 0.0018899051 0.0015224855 0.001426168 0.011053825 0.0046991026 6.433561e-05 5.950114e-05 3.2353746e-05 3.2725628e-05 3.2353746e-05 3.309751e-05 5.7641733e-05 0.00027407715 0.004120082 0.0007757461 0.0012532428 0.0007928527 0.0016318188 0.0010278822 0.005268826 0.0029758008 0.00029192748 0.00016214061 9.073924e-05 6.470749e-05 0.00020751024 7.102949e-05 9.036736e-05 0.00021569165 0.0072305044 0.0020245265 0.0019044084 0.018789345 0.0021167533 0.0016857417 0.0037162183 0.0025946216 0.0017266488 0.0012484083 0.0012309299 0.0012848527 0.0016277281 0.0012480365 0.0012454332 0.0013540229 0.009590468 0.002180345 0.0010565171 0.0012048981 0.002316082 0.0019159368 0.0014998007 0.0014049708 0.0051066857 0.00047191844 0.00050575973 0.0005942677 0.004055375 0.00048009984 0.0013882361 0.00430937 0.11152039 0.034491323 0.016716845 0.013082442 0.036816332 0.030579496 0.013854098 0.019949617 0.07865642 0.0048326086 0.006475212 0.008578577 0.05851863 0.01032977 0.025621563 0.060060453 0.046536587 0.019887513 0.008848935 0.007291865 0.017549861 0.015501163 0.00921338 0.011048246 0.0347059 0.0027571341 0.0039412067 0.0039095967 0.02356394 0.006629915 0.011958242 0.02341965 0.0012688618 0.0005715829 0.0005652609 0.00074562366 0.0005039003 0.00054517924 0.0008103312 0.000684635 0.00042803635 0.00031535607 0.00033580957 0.00031089346 0.00033283452 0.00030754652 0.00032948758 0.0003224218 5179.0 22.081676 114361.0 0.064217694 0.00084819127 0.0048880302 0.00069079496 0.0064619933 0.010239504 0.0009968433 0.0023959216 0.0031216936 0.0013291244 0.0006820507 0.0009880991 0.0038824424 0.0046781683 0.00874424 0.0040048617 0.013912085 0.010825369 0.009155219 0.008525634 0.008481912 0.007957258 0.008962845 0.0067942743 0.008989078 0.007310184 0.03148801 0.0065232026 0.008342004 0.0054564057 0.0064794817 0.007861071 0.00919894 0.0099159675 0.0018887558 0.005736221 0.01080788 0.0048005874 0.007336417 0.0027981568 0.0034189976 0.003899931 0.0007869816 0.0006820507 0.0049842168 0.0021423388 0.0021685713 0.0017838249 0.009146474 0.0017838249 0.009024056 0.00919894 0.006295853 0.0034802074 0.0039174194 0.0025095968 0.003139182 0.0011979608 0.0019936867 0.0014865207 0.0042147236 0.0014078226 0.0015127534 0.00810591 0.0018188019 0.04438576 0.007380138 0.02609281 0.0289959 0.07014629 0.012740357 0.011516164 0.015022604 0.04400976 0.0018800115 0.0029730415 0.030928375 0.012513007 0.035221796 0.04347636 0.016010704 0.0014078226 0.038142372 0.03823856 0.0563916 0.016430426 0.00649697 0.0049667284 0.004783099 0.0060685026 0.0012854033 0.0007694931 0.0019499655 0.0006995392 0.0007432604 0.00051591016 5.675605 0.0 47.0 0.0 4.0 1346008.0 1368064.0 1.0 1.0 310.0 1.0 1.0 1.0 1.0 0.0 1543548900.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 14.0 16.0 6.0 0.0 6.0 0.0 1073664.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -49664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 206336.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1073664.0 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 -6.7014456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7200203 0.0 -5.1098804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3997283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4981303 0.0 4.8164053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 205912.0 0.0 -1248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1073256.0 0.0 548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 0.0 -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 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 -1.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -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 -1.0 -1.0 -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 -1.0 0.0 0.0 0.0 -2.0 -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 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 -1.0 0.0 0.0 -1.0 0.0 2.0 -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 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 0.0 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -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 0.0 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 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 -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 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 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 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 2.0 -1.0 -1.0 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 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 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 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 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 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 -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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -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 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 1.0 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 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 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 1.0 -1.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 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 -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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1276304.0 480.0 1276388.0 548.0 1310720.0 0.0 0.0 6104.0 1339904.0 49576.0 1314816.0 84.0 1196672.0 0.0 0.0 0.0 0.0 24.0 1196920.0 64.0 1196760.0 0.0 0.0 1332.0 1081344.0 0.0 0.0 0.0 0.0


Input: 0.02031525 0.003963897 0.004783275 0.0037695812 0.0046340283 0.0044020317 0.00457566 0.0044323243 0.0036321562 0.0048460765 0.0036232902 0.0033321856 0.0056920527 0.0041390033 0.004003056 0.0047093905 0.0034851264 0.0044596614 0.004970941 0.0043377522 0.0039336043 0.0050640358 0.004167079 0.0047906633 0.003746677 0.0039114393 0.0036018637 0.003785097 0.003708257 0.0034932536 0.0034223245 0.003462961 0.0037621928 0.0038309053 0.0043532676 0.004362873 0.0046096467 0.0037097349 0.004129398 0.004640678 0.0048364718 0.0034792155 0.0035457115 0.0041988497 0.0035885645 0.0039742407 0.004308937 0.004688703 0.0049790684 0.0040052724 0.003396465 0.003761454 0.0042690397 0.0033188865 0.0044862595 0.004532068 0.0039934507 0.004423458 0.004906662 0.0043820827 0.0048128287 0.0039572474 0.0037998739 0.003170379 0.003643239 0.003774753 0.0034134586 0.0038582424 0.0032634733 0.003713429 0.0036543217 0.0032937657 0.0030484695 0.0030780234 0.003784358 0.0037533266 0.0033816881 0.0033255361 0.004248352 0.0042417026 0.004096889 0.0034888205 0.0035708323 0.0040606856 0.00366171 0.004102061 0.004077679 0.0035272404 0.0039099613 0.0031024052 0.004046648 0.003454095 0.0038124342 0.0036292009 0.0036742704 0.0040481254 0.004140481 0.0036750091 0.0037836193 0.0034031146 0.0030654632 0.003964636 0.0031304813 0.0030447755 0.0036218124 0.0043074596 0.0037067796 0.0038626755 0.0033041097 0.0036114687 0.0034585278 0.0034592669 0.003287855 0.004323714 0.0033151922 0.003804307 0.0031290036 0.0038774523 0.0034614834 0.004144914 0.0043111537 0.00308024 0.0031962383 0.0032243144 0.0030765457 0.0038567649 0.0035545777 0.0034311907 0.00394912 0.003103144 0.004456706 0.003335141 0.0032885938 0.0034090255 0.0032161872 0.0036897862 0.0036772257 0.0038966623 0.0031157045 0.0032494352 0.0032730782 0.004144175 0.0031733343 0.004238747 0.0044049867 0.0035959529 0.0034836486 0.0039114393 0.003708257 0.00382795 0.004707174 0.003808001 0.0035309347 0.0044086813 0.0041426974 0.0050352206 0.0033654335 0.0037880524 0.0035996472 0.003156341 0.004399076 0.0037932242 0.003996406 0.003685353 0.0035080304 0.0034518784 0.0032102764 0.004124226 0.003264212 0.004093934 0.004266823 0.003524285 0.003960942 0.003500642 0.0039047897 0.0040998445 0.003344746 0.0041027996 0.0033018931 0.0050980225 0.004119793 0.0030964946 0.003400898 0.004187767 0.004136787 0.0051009776 0.0038523318 0.004199588 0.003761454 0.0046783593 0.0035841314 0.0032472187 0.003277511 0.0035080304 0.0031637293 0.0038789301 0.003609991 0.0039542923 0.004164124 0.0031999326 0.003714168 0.0042313584 0.0042468742 0.0033462236 0.0036395446 0.003733378 0.003983846 0.0044515342 0.0036181181 0.0037599762 0.0030314762 0.003377255 0.0031762896 0.003984585 0.004570488 0.0037954408 0.0036351117 0.004116838 0.0035050751 0.0039912346 0.0035878257 0.0044434066 0.003486604 0.0033454848 0.0038309053 0.0033410517 0.0033521345 0.0032117541 0.0036365893 0.0033122369 0.00384716 0.0040296544 0.0044714827 0.0034282354 0.0037777084 0.003136392 0.0038434656 0.0036092522 0.0042084544 0.0036033413 0.0037695812 0.004387255 0.0030203937 0.0040429533 0.0033137146 0.003723773 0.0034363626 0.0035782207 0.004266823 0.0052775615 0.0039823684 0.0036225512 0.0037407663 0.0041456525 0.0048394273 0.0052347085 0.0045454544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014082475 8.507931e-06 9.247751e-06 4.4389203e-06 9.987571e-06 5.1787406e-06 1.4056582e-05 7.028291e-06 4.0690106e-06 4.8088305e-06 9.247751e-06 5.5486507e-06 7.028291e-06 1.4796401e-06 6.6583807e-06 9.617661e-06 0.0013475823 8.138021e-06 9.617661e-06 7.768111e-06 8.877841e-06 8.507931e-06 7.768111e-06 6.6583807e-06 1.4796402e-05 1.4426491e-05 8.877841e-06 9.987571e-06 1.0727391e-05 1.6645952e-05 1.4426491e-05 2.0345053e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005141749 1.7755681e-05 1.2207031e-05 1.4796402e-05 1.5906131e-05 1.4056582e-05 1.7755681e-05 2.2934422e-05 1.6645952e-05 1.4796402e-05 1.8125593e-05 1.6645952e-05 1.6276043e-05 1.6276043e-05 1.2576941e-05 1.6645952e-05 0.00047385477 1.2946852e-05 2.4414063e-05 1.8495502e-05 2.7373342e-05 1.5166312e-05 6.547408e-05 2.8113163e-05 9.987571e-06 9.247751e-06 1.2946852e-05 1.2576941e-05 1.2576941e-05 1.1467211e-05 1.10973015e-05 1.1837121e-05 0.00042576646 1.9235322e-05 1.8495502e-05 2.3304332e-05 1.9975141e-05 2.2194603e-05 2.4414063e-05 2.2194603e-05 2.2564513e-05 2.5153882e-05 2.1084872e-05 1.8495502e-05 2.4414063e-05 2.4414063e-05 2.2564513e-05 2.3304332e-05 0.0019179835 9.728634e-05 0.00010764382 9.839607e-05 7.8790836e-05 8.285985e-05 0.00010986328 0.00011282256 0.000118371216 0.00013871626 0.00012502959 0.0001361269 0.00012244022 0.00013094816 0.0001764471 0.00023415305 0.0009092389 7.1022725e-05 6.510417e-05 6.732363e-05 5.9925427e-05 6.584399e-05 6.9912996e-05 7.768111e-05 9.358724e-05 0.000111712834 8.803859e-05 0.00010209517 9.395715e-05 9.802616e-05 0.00012798887 0.00017126834 0.00390699 0.00047607423 0.0002759529 0.00021861683 0.00014981357 0.00016497988 0.00024636008 0.00041540898 0.0006791548 0.0009181167 0.00072724314 0.0007364909 0.00058334816 0.0006813743 0.0014289625 0.002027477 0.0018410423 0.0007494377 0.0005814986 0.00046719637 0.00016350024 0.00016793916 0.00027151397 0.00048902107 0.0007683032 0.0010080049 0.0009207061 0.0008737275 0.0006506718 0.0007342714 0.0019875267 0.0027195786 0.067298844 0.06291023 0.064932525 0.06529134 0.056972064 0.059732333 0.056727182 0.05591671 0.055516098 0.060243547 0.058872294 0.06131629 0.058573406 0.057710405 0.054884292 0.05916304 6128.0 5.5953 34288.0 0.009536864 0.010878442 0.011840877 0.010557629 0.027181521 0.009332711 0.010528465 0.010120159 0.011782547 0.0090410635 0.009011899 0.026160756 0.008778581 0.010615959 0.009536864 0.00944937 0.010032664 0.010236817 0.008486934 0.010178488 0.010557629 0.009420205 0.010470135 0.0105867945 0.010936771 0.0104118055 0.011957536 0.0100035 0.009653523 0.009741018 0.012015865 0.007553663 0.0092160525 0.009653523 0.009245217 0.009886841 0.008807746 0.0090410635 0.008924405 0.009157723 0.008224452 0.008195287 0.0090410635 0.010470135 0.009624358 0.008253616 0.009274382 0.025548296 0.00944937 0.009274382 0.009070229 0.009099393 0.009245217 0.0093035465 0.012395007 0.009974335 0.010440971 0.008224452 0.008924405 0.009799346 0.009011899 0.010090994 0.008486934 0.0078453105 0.011286748 0.010382641 0.009391041 0.008632758 0.008545264 0.010149323 0.008136958 0.0093035465 0.02531498 0.009682688 0.009128558 0.0092160525 0.010936771 0.009478535 0.010295147 0.009361876 0.008632758 0.010732618 0.009653523 0.009566029 0.008895241 0.024556696 0.007961969 0.009420205 0.010265983 0.008049463 0.00944937 0.009391041 0.008107793 0.009478535 0.008370276 0.008428604 6.516135 0.0 0.0 0.0 12.0 1353466.0 3784704.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 6.0 1.0 4.0 6.0 6.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 23.566446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.989238 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5890245 0.0 0.0 0.0 0.0 0.0 0.0 2863104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 2908160.0 40796.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.6851671 0.0047200522 0.0021158855 0.001953125 0.0023328993 0.001030816 0.0006510417 0.0011935764 0.0037434895 0.0014648438 0.0014648438 0.0011935764 0.002170139 0.0017903646 0.00054253475 0.000922309 0.0035807292 0.0012478299 0.00021701389 0.0003797743 0.0013563368 0.0026041667 0.00016276042 0.00032552084 0.0006510417 0.00086805556 0.00021701389 0.0003797743 0.001030816 0.00021701389 0.00081380206 0.0007052951 0.0046657985 0.00048828125 0.0013563368 0.00086805556 0.00048828125 0.0011393229 0.0007595486 0.0003797743 0.0005967882 0.00054253475 0.00016276042 0.00027126737 0.00081380206 0.0026584202 0.0017903646 0.0011935764 0.002170139 0.0013563368 0.0022243923 0.0013563368 0.000922309 0.0005967882 0.0011935764 0.0005967882 0.0005967882 0.00027126737 0.0006510417 0.00054253475 0.0007052951 0.00054253475 0.00027126737 0.0003797743 0.0052625868 0.0017361111 0.0007052951 0.0023871528 0.0013020834 0.0050998265 0.001030816 0.0011393229 0.0029296875 0.00043402778 0.00027126737 0.00032552084 0.000922309 0.0024956597 0.00054253475 0.001030816 0.0050455728 0.0029296875 0.0028211805 0.0014648438 0.0016818576 0.003092448 0.0005967882 0.002061632 0.000922309 0.00027126737 0.00048828125 0.00043402778 0.00027126737 0.0013020834 0.0003797743 0.0007595486 0.0016818576 0.0071614585 0.0014105903 0.002170139 0.0041775173 0.009331597 0.0012478299 0.0003797743 0.003092448 0.0051540798 0.003797743 0.00043402778 0.0054796007 0.001844618 0.0056966147 0.0048285592 0.0045572915 0.0015733507 0.0053168405 0.0040690103 0.0100911455 0.002875434 0.0009765625 0.0012478299 0.0013020834 0.0016818576 0.00027126737 0.00048828125 0.00027126737 0.0009765625 0.000108506945 0.00027126737 0.0012478299 0.0006510417 5.4253473e-05 0.004014757 0.00054253475 0.0011935764 0.0003797743 0.000108506945 0.0007052951 0.0021158855 0.0007052951 0.008409288 0.00054253475 0.0029296875 0.0 0.00032552084 0.0005967882 0.00021701389 0.000108506945 0.000108506945 0.00021701389 0.0007052951 0.00043402778 0.00016276042 0.0007595486 0.00043402778 0.00027126737 0.000108506945 0.00021701389 0.00027126737 0.00016276042 0.00032552084 0.00016276042 0.00048828125 0.0 0.00021701389 0.00016276042 5.4253473e-05 5.4253473e-05 0.00016276042 0.0003797743 0.000108506945 5.4253473e-05 0.00016276042 0.00032552084 0.00016276042 0.00043402778 0.000108506945 0.000922309 5.4253473e-05 0.00043402778 0.00027126737 0.00021701389 0.00016276042 0.00054253475 0.00048828125 0.00027126737 0.00027126737 0.00054253475 0.0003797743 0.00032552084 0.00021701389 0.0003797743 0.0003797743 0.0014648438 0.00043402778 0.00016276042 0.00086805556 0.0016276041 0.00048828125 0.0006510417 0.0014648438 0.00032552084 0.0003797743 0.00016276042 0.00021701389 0.005642361 0.00027126737 0.00016276042 0.00043402778 0.00054253475 0.00021701389 0.00027126737 0.00021701389 0.0 0.00021701389 0.00021701389 0.0005967882 0.0016818576 0.00048828125 0.00086805556 0.0010850695 0.00086805556 0.00048828125 0.00021701389 0.00048828125 0.0014648438 0.00016276042 0.00016276042 0.000108506945 0.0017903646 0.0005967882 0.00016276042 0.00016276042 0.0027126735 0.00048828125 0.00032552084 0.0011393229 0.0026041667 0.00048828125 0.0006510417 0.00048828125 0.0007052951 0.00016276042 0.00027126737 0.00032552084 0.0015190972 0.0 0.00048828125 0.0005967882 0.0011393229 0.0003797743 0.00027126737 0.0005967882 0.001844618 0.0015190972 0.0007595486 0.008897569 0.4112477 5.7444853e-05 0.00017233456 0.0 0.00017233456 0.0 0.0 0.0 5.7444853e-05 0.0 0.0 0.0 0.0 0.0 5.7444853e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1347369 0.00057444855 0.0045381435 0.0039924174 0.0026424632 0.0017233456 0.01645795 0.010541131 0.00022977941 0.00020105699 5.7444853e-05 0.000114889706 0.00020105699 8.616728e-05 0.00017233456 0.00020105699 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039636947 0.001005285 0.00068933825 0.00025850185 0.0025275736 0.0026137407 0.0011201747 0.0004308364 0.0036190257 2.8722427e-05 2.8722427e-05 0.000114889706 0.003102022 0.00048828125 0.0016084559 0.001551011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03234145 0.00025850185 0.0007467831 0.0006606158 0.0032743567 0.0023839613 0.008846507 0.0058880975 0.0014073988 0.00022977941 0.00017233456 0.00022977941 0.0005170037 0.0003159467 0.00048828125 0.0010627297 0.030991498 0.0018956801 0.0019244025 0.001005285 0.0032169118 0.002757353 0.0026137407 0.0007467831 0.00402114 0.0005170037 0.0003159467 0.0004308364 0.0020680148 0.0007755055 0.0016946231 0.003848805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.057703353 0.007008272 0.0063763787 0.005313649 0.01160386 0.010943244 0.018554688 0.011374081 0.012293198 0.0025850183 0.0015222887 0.0027860755 0.0072954963 0.0039349725 0.00697955 0.010196461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00792739 0.0040785847 0.003762638 0.0036190257 0.003303079 0.00390625 0.0071806065 0.0047392 0.0034179688 0.0018095128 0.0010627297 0.0022690718 0.00201057 0.0028147977 0.0032169118 0.003705193 132.0 12.992424 1715.0 0.010495626 0.00058309035 0.005247813 0.0017492712 0.0 0.004664723 0.00058309035 0.0 0.00058309035 0.0 0.00058309035 0.00058309035 0.0 0.019825073 0.011661808 0.0034985424 0.0034985424 0.010495626 0.0069970847 0.009329446 0.0040816325 0.0023323614 0.005247813 0.004664723 0.0017492712 0.0023323614 0.004664723 0.0023323614 0.00058309035 0.002915452 0.0 0.00058309035 0.0011661807 0.011661808 0.0023323614 0.022740524 0.010495626 0.008163265 0.008163265 0.008163265 0.023323616 0.002915452 0.0 0.0017492712 0.004664723 0.0017492712 0.0034985424 0.0069970847 0.008746356 0.0017492712 0.011078717 0.007580175 0.007580175 0.0017492712 0.005247813 0.017492712 0.0023323614 0.0 0.00058309035 0.0 0.00058309035 0.0011661807 0.0 0.002915452 0.002915452 0.0606414 0.008163265 0.018075801 0.03206997 0.09271137 0.0099125365 0.002915452 0.005830904 0.04781341 0.0 0.0034985424 0.046647232 0.011661808 0.053061225 0.036151603 0.035568513 0.0040816325 0.04431487 0.034985423 0.08746356 0.01516035 0.0017492712 0.0069970847 0.008746356 0.01516035 0.0023323614 0.0011661807 0.0 0.0 0.0 0.0017492712 5.3217354 0.0 0.0 0.0 1.0 18432.0 32768.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 1757375100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4096.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3142104 0.0 0.0 0.0 0.0 0.0 -3.4778547 0.0 0.0 0.0 0.0 -7.179758 0.0 0.0 0.0 0.0 0.0 1.9915893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.0068845395 0.0039050265 0.003919752 0.003870203 0.0038429408 0.003936666 0.0038288124 0.0038556764 0.0038192607 0.003895276 0.003895276 0.0038982609 0.0038192607 0.0038721927 0.0038566713 0.0039603463 0.0038071224 0.00383916 0.00383518 0.0038851274 0.003924727 0.003919951 0.003925523 0.003948805 0.0038087142 0.0038463238 0.0038451299 0.0038341852 0.0038347822 0.0038548803 0.0038843313 0.003967709 0.0038093112 0.003789014 0.00391418 0.003866223 0.0038518955 0.0038674169 0.0038598552 0.0039046286 0.003893087 0.003838364 0.003814286 0.003914379 0.0038313994 0.0039326865 0.0039121904 0.003948805 0.0037553841 0.003756578 0.0038779636 0.0038807495 0.003862641 0.0038210517 0.0038011526 0.003895276 0.003836971 0.0038747797 0.0038779636 0.0039102 0.0038606513 0.003922936 0.0038847292 0.0039878073 0.0039625354 0.003836374 0.0039030365 0.0039000516 0.0038709987 0.004100238 0.003946019 0.003890699 0.003787223 0.0038321952 0.0038996537 0.0039312937 0.0038045354 0.003915374 0.003838961 0.0038725908 0.0039030365 0.003865029 0.0039151753 0.0039109965 0.0038528906 0.0038948779 0.0039273137 0.0039117923 0.0038198577 0.0038809485 0.003890699 0.0038835353 0.0038019484 0.003838364 0.0039585554 0.003911991 0.003812893 0.0038516966 0.0038200568 0.0038302054 0.0038379661 0.003962336 0.0039032355 0.0038966688 0.0039525856 0.0039607445 0.0039014446 0.0038507015 0.0038680139 0.0038686108 0.003917165 0.003946019 0.0038910971 0.0038628401 0.0039358702 0.0039014446 0.0040150695 0.003964127 0.0038485127 0.0040035276 0.0039549735 0.0038875153 0.0038954748 0.0039649233 0.003921543 0.0039328854 0.003966913 0.0040313867 0.003996364 0.0039022407 0.0038849283 0.003914976 0.0038803515 0.0039088074 0.0038379661 0.0038674169 0.0038467217 0.0039860164 0.0038761727 0.0040576537 0.003814883 0.003924727 0.0038323943 0.0039547747 0.0037722986 0.0038449308 0.0039028376 0.0038887092 0.0038817443 0.0038777646 0.0038290115 0.0039352733 0.0038055303 0.0038449308 0.003919354 0.0038727897 0.0038823413 0.003940248 0.0038642331 0.003991986 0.0038586613 0.0039221398 0.0038612483 0.0039103995 0.0039082104 0.0039008476 0.003863437 0.0039145784 0.0038313994 0.0039080116 0.0038296084 0.003890301 0.0038304043 0.0038520945 0.0037697116 0.0039092056 0.003840155 0.0038025454 0.003870203 0.0038592583 0.0039297016 0.0038453287 0.0038805504 0.003937263 0.0038580643 0.003888908 0.0038522936 0.0039133844 0.003893286 0.0039010467 0.0039072153 0.0040256158 0.0040288 0.003890102 0.003867019 0.0038455278 0.0038560743 0.003841349 0.003864432 0.0038831374 0.0039084093 0.0038562734 0.0038749787 0.0038367722 0.0039285077 0.0039111953 0.003866422 0.0039334823 0.0038867192 0.003916767 0.0038972658 0.0038769685 0.0038739836 0.0038791576 0.0038570694 0.00392015 0.0038524924 0.0038771676 0.0038485127 0.003842145 0.0039275126 0.0038869183 0.0039070165 0.0039878073 0.0039796485 0.0039018425 0.003867019 0.0038731878 0.0038708 0.0038522936 0.0038071224 0.003922936 0.003971092 0.003915971 0.00391418 0.003918359 0.0038636362 0.0038711978 0.003861447 0.003994374 0.0039515905 0.003923533 0.0039320895 0.003940049 0.0039326865 0.0039105983 0.0039549735 0.003974077 0.0040051197 0.003918757 0.0039342786 0.0039561675 0.0040274067 0.0039864145 0.0040584495 0.004679505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00044140386 1.1047538e-05 1.5725323e-05 9.654154e-06 1.094801e-05 1.6422015e-05 2.3488457e-05 1.49291045e-05 1.7218234e-05 3.9810945e-07 2.1896021e-06 2.7867661e-06 5.6730596e-06 1.6919652e-06 1.8910199e-06 3.6028905e-05 0.00050908246 7.96219e-06 1.49291045e-05 9.4551e-06 2.5976642e-05 1.5824851e-05 6.956963e-05 6.319988e-05 3.105254e-05 6.867388e-06 5.474005e-06 5.3744775e-06 9.952736e-06 3.582985e-06 5.3744775e-06 3.1649703e-05 9.256045e-05 1.6919652e-06 8.260771e-06 4.5782585e-06 5.095801e-05 2.1995547e-05 0.00014710144 7.106254e-05 7.962189e-07 6.9669153e-07 8.9574627e-07 1.1943283e-06 1.5924378e-06 1.1943283e-06 1.3933831e-06 1.6919652e-06 0.00022632522 6.9669154e-06 1.741729e-05 2.1000275e-05 3.6128433e-05 2.040311e-05 0.00014312036 0.000101119804 1.0848483e-05 3.0853482e-06 2.9858209e-06 3.6825124e-06 4.1801495e-06 3.1848756e-06 2.8862935e-06 8.161244e-06 0.00037621343 1.5227687e-05 1.2540448e-05 1.701918e-05 2.8464827e-05 2.189602e-05 1.851209e-05 4.3095348e-05 5.2052812e-05 1.8611618e-05 2.6673333e-05 2.5180423e-05 3.5332214e-05 3.354072e-05 3.125159e-05 5.9716418e-05 0.00038208556 9.256045e-06 9.554627e-06 1.2440921e-05 1.1346119e-05 1.4829578e-05 3.135112e-05 5.4839576e-05 5.9218783e-05 5.7626345e-05 5.812398e-05 5.6432014e-05 6.041311e-05 5.016179e-05 4.996274e-05 0.000101517915 0.0006259276 8.250819e-05 4.050764e-05 7.4247415e-05 0.0001422246 0.000119432836 7.962189e-05 0.00013923878 0.00021517817 7.305309e-05 8.191102e-05 7.942284e-05 0.00015406836 9.703918e-05 0.00018561854 0.00025598437 0.0007523273 0.00016173196 0.0001094801 0.00014381704 0.00027409836 0.00022234413 0.00015048537 0.0002735012 0.00030017452 7.4645526e-05 7.414789e-05 7.38493e-05 0.00016551401 0.00010788767 0.00021189376 0.00036924653 0.06158793 0.061678898 0.06173344 0.06152901 0.06172498 0.061725974 0.061526522 0.062229984 0.061814655 0.061833166 0.061721496 0.06197121 0.061770167 0.061951805 0.061909802 0.063099355 23487.0 5.745391 134942.0 0.010159921 0.009337345 0.010797231 0.010234026 0.01027108 0.010100636 0.009500378 0.01064902 0.009945014 0.0100561725 0.009863497 0.009996887 0.009693054 0.010330364 0.01015251 0.010019119 0.009604126 0.009833855 0.010752768 0.010352596 0.009982066 0.010174742 0.009759748 0.010256258 0.009863497 0.01015251 0.010345185 0.009811623 0.0103081325 0.010582324 0.01052304 0.010389649 0.009848676 0.01053045 0.010478576 0.01027108 0.010767589 0.010767589 0.010878748 0.010515629 0.009774569 0.010708304 0.010856516 0.0110491915 0.010367417 0.010360006 0.0100561725 0.009959835 0.010619377 0.010122867 0.010478576 0.01090098 0.009945014 0.011182582 0.010975085 0.010167331 0.010285901 0.009885728 0.010597145 0.009989477 0.009819034 0.009893139 0.010463755 0.009907961 0.009811623 0.011241867 0.009870907 0.010500807 0.010834284 0.013865216 0.010671251 0.010352596 0.010841695 0.0120570315 0.010041351 0.010093225 0.011315973 0.010234026 0.011360437 0.011612397 0.010493397 0.010122867 0.011671681 0.011390079 0.01216078 0.010849105 0.010263668 0.010634199 0.010619377 0.010019119 0.010256258 0.010360006 0.009759748 0.009819034 0.0104341125 0.010219205 6.58239 0.0 1.0 0.0 85.0 5025318.0 249856.0 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 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.6898675 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 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 19872.0 0.0 0.0 0.0 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 19872.0 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


Input: 0.11414062 0.006171875 0.0050260415 0.0052864584 0.005598958 0.0041927085 0.0031770833 0.0034114583 0.00484375 0.00296875 0.0031510417 0.0035416668 0.0037760416 0.003046875 0.0032552083 0.004036458 0.004713542 0.00375 0.0030729168 0.0029166667 0.0029947916 0.0031770833 0.003125 0.0033072918 0.0033854167 0.0036458333 0.00375 0.003515625 0.0030208332 0.003515625 0.0027864582 0.0033072918 0.0041927085 0.0034114583 0.0040625 0.0028385418 0.00515625 0.0029947916 0.003125 0.0030208332 0.0033333334 0.00296875 0.0034114583 0.0033333334 0.0032291666 0.00328125 0.0037239583 0.00375 0.0033854167 0.00359375 0.0037239583 0.004114583 0.003359375 0.003671875 0.0033333334 0.0031510417 0.0033854167 0.0036197917 0.0030989584 0.0034375 0.0034375 0.0031770833 0.0034375 0.00328125 0.0037239583 0.0035677084 0.0034375 0.003125 0.003671875 0.003828125 0.0036458333 0.0028645834 0.0032552083 0.0029947916 0.003046875 0.0030208332 0.0038020834 0.0030729168 0.00390625 0.0026302084 0.0043229167 0.00390625 0.00328125 0.003828125 0.0036458333 0.0034375 0.0037239583 0.003671875 0.0034375 0.003359375 0.0027083333 0.0036197917 0.0031510417 0.0029947916 0.0036197917 0.0037760416 0.0032552083 0.004140625 0.0030208332 0.00296875 0.0043229167 0.004765625 0.003515625 0.0029427083 0.0034375 0.003984375 0.0030989584 0.0032291666 0.0044791666 0.0032291666 0.0038020834 0.003828125 0.0034375 0.003671875 0.0049479166 0.0039583333 0.004921875 0.0038020834 0.0037760416 0.0034114583 0.0033072918 0.0034375 0.0030729168 0.0033333334 0.003515625 0.0029947916 0.003046875 0.0029166667 0.0030208332 0.0038541667 0.0027864582 0.0044010417 0.004036458 0.0040625 0.003359375 0.0028385418 0.0034895833 0.0056770835 0.0038541667 0.007552083 0.0031770833 0.00421875 0.0034114583 0.0027083333 0.0034114583 0.0036197917 0.0034635416 0.0031770833 0.00296875 0.0036197917 0.0034375 0.0030208332 0.003046875 0.003046875 0.0033072918 0.0029427083 0.0030989584 0.003203125 0.0028385418 0.00359375 0.00328125 0.0034375 0.0028125 0.00359375 0.0028645834 0.003515625 0.0030729168 0.0029947916 0.003359375 0.003515625 0.003125 0.002734375 0.0030729168 0.0036197917 0.0033854167 0.0029166667 0.003046875 0.0038802084 0.0034114583 0.0032552083 0.0033333334 0.0034375 0.003046875 0.0032291666 0.00296875 0.00328125 0.002890625 0.003203125 0.0032552083 0.0032291666 0.003515625 0.0028385418 0.004244792 0.00328125 0.00375 0.003125 0.0033333334 0.0029427083 0.0035677084 0.0033333334 0.0032552083 0.003515625 0.003515625 0.0033333334 0.0028125 0.0040104166 0.0036979166 0.0038541667 0.003203125 0.0035677084 0.0033072918 0.0032552083 0.0028385418 0.0034114583 0.0034895833 0.0034635416 0.0030989584 0.003125 0.0034635416 0.0034895833 0.0030989584 0.0027864582 0.0034375 0.0035677084 0.0029166667 0.0022395833 0.0034635416 0.00328125 0.0030729168 0.0032291666 0.0027864582 0.0034635416 0.0041927085 0.0034635416 0.0028125 0.0039322916 0.0030989584 0.00328125 0.003671875 0.003359375 0.00296875 0.0031770833 0.0030729168 0.0038802084 0.0030989584 0.0032552083 0.0028645834 0.0030989584 0.0032552083 0.0034375 0.0034635416 0.0038802084 0.003515625 0.003125 0.0031510417 0.006640625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04151747 0.0026719836 0.0028483074 0.0023057726 0.002766927 0.0032687718 0.0037841797 0.003133138 0.0038519965 0.0024142796 0.0025227864 0.0022243923 0.0024549696 0.0022379558 0.0026448567 0.0026855469 0.032348633 0.0036621094 0.0043945312 0.0026041667 0.0036756727 0.00394694 0.0037027996 0.0037841797 0.008924697 0.001437717 0.0014919705 0.0018581814 0.003689236 0.0014512804 0.0027126735 0.003648546 0.020996094 0.0018039279 0.0017632379 0.0019124349 0.0023735894 0.0027398004 0.0034450954 0.0025906032 0.0050998265 0.0016004774 0.00088161894 0.0013834635 0.0024685329 0.0014105903 0.002102322 0.002983941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.059027776 0.04744466 0.04816352 0.050157335 0.045844182 0.048109267 0.046156142 0.048461914 0.046142578 0.047905818 0.048475478 0.048339844 0.048787434 0.049519856 0.046780057 0.048461914 189.0 7.9259257 1498.0 0.030040054 0.006008011 0.004672897 0.002670227 0.007343124 0.006008011 0.005340454 0.007343124 0.009345794 0.004672897 0.014686248 0.008010681 0.008678238 0.004672897 0.02069426 0.0066755675 0.0040053404 0.006008011 0.014686248 0.017356476 0.0040053404 0.006008011 0.005340454 0.0066755675 0.0066755675 0.0066755675 0.008678238 0.008010681 0.006008011 0.007343124 0.0040053404 0.0066755675 0.005340454 0.016021362 0.008010681 0.010680908 0.008010681 0.008678238 0.0113484645 0.0040053404 0.0066755675 0.0040053404 0.007343124 0.008678238 0.008010681 0.008010681 0.0033377837 0.004672897 0.0066755675 0.007343124 0.010013351 0.0113484645 0.0066755675 0.007343124 0.0066755675 0.0113484645 0.0040053404 0.006008011 0.0033377837 0.008010681 0.0033377837 0.004672897 0.008010681 0.008678238 0.008010681 0.033377837 0.009345794 0.020026702 0.03070761 0.045393858 0.008010681 0.008678238 0.009345794 0.023364486 0.005340454 0.007343124 0.04138852 0.012016022 0.022696929 0.019359145 0.013351135 0.009345794 0.03671562 0.021361817 0.024699599 0.018024033 0.008010681 0.014018691 0.010680908 0.012016022 0.0040053404 0.0020026702 0.004672897 0.008010681 0.002670227 0.004672897 6.233445 0.0 0.0 0.0 1.0 38400.0 110592.0 0.0 0.0 12.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 57856.0 1024.0 4096.0 10.0 3.0 0.0 0.0 10.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7370954 0.0 0.0 0.0 0.0 5.6790075 0.0 0.0 0.0 0.24279179 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.11771 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.991065 0.0 0.0 0.0 0.0 0.0 0.0 -7.1096163 3.1395338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 4096.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 672.0 102316.0 236.0 94208.0 0.0 0.0 0.0 0.0 8.0 102228.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 102204.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0