Input: 0.022091512 0.0040998594 0.003987555 0.0042661 0.0031726072 0.0048172795 0.0032738291 0.0032331925 0.0034696234 0.003799149 0.0035612404 0.0034445026 0.0035331643 0.0037001437 0.0042535397 0.004217336 0.004354023 0.005522878 0.0039048041 0.004505486 0.003770334 0.0043680607 0.003408299 0.0031556136 0.0035782338 0.0043643666 0.003947657 0.0035087822 0.0043953983 0.003804321 0.0043399846 0.0041855657 0.00523325 0.0053943186 0.0042830934 0.0040732613 0.004079172 0.0049849977 0.004902247 0.0033558412 0.0047138412 0.005027112 0.004989431 0.0047116247 0.0035036104 0.0043828376 0.0053086127 0.0040370575 0.005018246 0.006597161 0.004214381 0.0041959095 0.0036632011 0.004790681 0.004088038 0.003173346 0.004844617 0.0043606726 0.0053322557 0.0045136134 0.004994603 0.004204037 0.0044360347 0.003847913 0.0028925843 0.0033048606 0.0034696234 0.0036321697 0.0046628607 0.004068828 0.003847913 0.0033558412 0.003302644 0.004092471 0.0037016212 0.0034149487 0.0029716408 0.003909237 0.0039801663 0.003908498 0.0034947442 0.003524298 0.0033979553 0.0029191826 0.0036698508 0.0034600184 0.0030713852 0.0032420587 0.0029975006 0.0049170237 0.003158569 0.0038190978 0.0033573187 0.0031563526 0.004116114 0.0035752784 0.003259052 0.0043266853 0.004246151 0.004532085 0.0035952274 0.004834273 0.004809891 0.0040895157 0.0046931533 0.004257234 0.0046185297 0.0050359783 0.0043170806 0.004136063 0.0049620937 0.0037341304 0.003380223 0.0043939203 0.0046783765 0.0050234175 0.0037282198 0.0043237302 0.0045867595 0.0037008824 0.003847913 0.0040969043 0.003697927 0.004262406 0.0032642242 0.0033358922 0.004134585 0.0035183872 0.0029014505 0.0038168812 0.0036173929 0.003808754 0.0035627182 0.0029561252 0.004348112 0.0031652187 0.003191817 0.0039602173 0.005291619 0.003143792 0.003106111 0.0033491915 0.0035036104 0.0033381088 0.0036654177 0.003587839 0.0030011947 0.0037422578 0.004406481 0.0031149772 0.0036720673 0.0026716692 0.0033041218 0.0032679182 0.00374078 0.0028903678 0.0028201772 0.0034578019 0.0039114538 0.0030588247 0.003173346 0.004506225 0.003962434 0.004206992 0.003366185 0.0038390467 0.003317421 0.0032302372 0.0032368868 0.0047892034 0.0042284187 0.0040451847 0.004020803 0.0035560685 0.0034688846 0.0038589956 0.0032575745 0.00429787 0.004318558 0.0049236733 0.0033720958 0.0031925559 0.0032546192 0.0028881512 0.004090993 0.0034777508 0.0040614395 0.003770334 0.0033248095 0.0034459804 0.0034474581 0.0030676909 0.0038929826 0.0037592512 0.0032531414 0.004310431 0.0033876114 0.0034119934 0.0033019052 0.0037533406 0.003240581 0.0040806495 0.0034770118 0.003842741 0.003173346 0.0042520617 0.003808754 0.0040703057 0.00277363 0.0036129598 0.003703099 0.0033824395 0.0033203764 0.0037459522 0.0031526582 0.0031718682 0.0032132438 0.0041205473 0.0037710727 0.0028903678 0.003124582 0.004472238 0.0038589956 0.003799149 0.0035279924 0.0036410359 0.0037082708 0.0037348694 0.0029184439 0.0032479696 0.0037880663 0.0038117093 0.0033203764 0.0043710163 0.0034193818 0.0035841446 0.0029620358 0.0036151763 0.0038796833 0.0035220815 0.003322593 0.003952829 0.004373972 0.0043828376 0.005133506 0.0044183023 0.003679456 0.0038848552 0.0038767278 0.003703099 0.0032878672 0.003293039 0.0026894014 0.0039461795 0.0031822121 0.003216199 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 0.00073168206 1.8495502e-06 1.4796401e-06 3.6991003e-07 7.3982005e-07 2.5893703e-06 2.5893703e-06 2.2194602e-06 2.2194602e-06 1.4796401e-06 2.2194602e-06 1.8495502e-06 2.5893703e-06 7.3982005e-07 1.8495502e-06 1.1097301e-06 0.0021110766 1.0727391e-05 1.1837121e-05 3.6991005e-06 1.3316761e-05 6.6583807e-06 1.8125593e-05 9.247751e-06 9.617661e-06 3.3291903e-06 1.0357481e-05 8.138021e-06 6.6583807e-06 9.987571e-06 1.5166312e-05 2.4783973e-05 0.000674346 6.2884706e-06 4.8088305e-06 2.9592802e-06 4.0690106e-06 4.8088305e-06 3.3291903e-06 6.2884706e-06 6.6583807e-06 5.1787406e-06 6.6583807e-06 7.768111e-06 5.5486507e-06 5.9185604e-06 7.768111e-06 5.1787406e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050751655 1.3686671e-05 1.9235322e-05 1.7755681e-05 1.4056582e-05 1.5906131e-05 1.6276043e-05 1.4426491e-05 1.7385772e-05 1.7755681e-05 2.1454782e-05 1.4796402e-05 1.5906131e-05 2.1824691e-05 1.5536221e-05 1.4056582e-05 0.00047015565 8.507931e-06 2.5153882e-05 1.5536221e-05 2.8852983e-05 1.8125593e-05 6.436434e-05 2.6263613e-05 1.2207031e-05 1.1837121e-05 1.2946852e-05 1.5536221e-05 1.3316761e-05 9.987571e-06 1.4056582e-05 1.0727391e-05 0.0003240412 1.4796401e-06 1.8495502e-06 3.6991003e-07 3.3291903e-06 1.2207031e-05 3.6991005e-06 9.247751e-06 6.2884705e-05 4.4389203e-06 1.6276043e-05 1.7015862e-05 1.4796402e-05 5.2897136e-05 5.2527226e-05 0.0001805161 0.0022830847 0.00020456025 0.0001253995 0.00012835878 0.000120590674 0.0001472242 0.00017829664 0.00013834635 0.00027558298 0.00015166312 0.0001694188 0.00018088601 0.00023193359 0.00022971413 0.00021047881 0.00052749173 0.0034901013 0.00091626716 0.00010764382 0.00012613932 0.00012465968 0.00028557054 0.0003022165 0.00023378314 0.0003869259 0.00026263614 0.00037730823 0.00028889973 0.00048384233 0.0003173828 0.00046941583 0.0009181167 0.003692442 0.0015173709 0.00033994732 0.000250799 0.00016128078 0.0002766927 0.000456469 0.00029555813 0.00037841796 0.00039136483 0.0005855676 0.00055856415 0.00065806997 0.0006077622 0.0007098574 0.0012410482 0.0013216885 0.0013472124 0.00027743253 0.0001764471 6.473425e-05 0.00010875355 0.00027484316 0.0001882842 0.00039543383 0.00032330138 0.00047126538 0.0005126953 0.000526382 0.00059444545 0.0006162701 0.0011341441 0.05850201 0.061112836 0.072087325 0.07158462 0.058005963 0.05501561 0.06812781 0.06309297 0.05551573 0.053161252 0.059134927 0.05660881 0.057066023 0.054287996 0.054951984 0.05628958 8342.0 5.900983 49226.0 0.010969813 0.0129200015 0.011376102 0.0121886805 0.0095478 0.011396416 0.010482266 0.009263397 0.010847926 0.012859059 0.011416731 0.011132329 0.008938366 0.011619876 0.011741762 0.010766668 0.012087109 0.013773209 0.0121480515 0.011437045 0.010726039 0.012005851 0.012351196 0.009974403 0.011802706 0.012798115 0.01164019 0.010543209 0.009060252 0.010786982 0.010969813 0.009832202 0.0076585542 0.009222768 0.010746353 0.008450818 0.011904278 0.010279121 0.009161825 0.00936497 0.008349246 0.010461951 0.008085159 0.0072116363 0.009304026 0.009852517 0.010482266 0.009568115 0.0072319508 0.007902328 0.010055661 0.008714907 0.009852517 0.012269938 0.0082273595 0.008471133 0.008024215 0.009954089 0.009730631 0.007902328 0.008735221 0.008532076 0.008511762 0.009852517 0.009243083 0.010461951 0.011558932 0.011132329 0.011172958 0.011741762 0.012432454 0.011843335 0.010075976 0.011497989 0.010299435 0.009649373 0.010807297 0.010888555 0.013143461 0.010279121 0.0090196235 0.010969813 0.0121277375 0.01086824 0.009750945 0.011416731 0.011904278 0.011538618 0.009893146 0.011843335 0.010116605 0.009486857 0.010258806 0.009161825 0.012330882 0.009608744 6.570982 0.0 0.0 0.0 14.0 1353461.0 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 23.560469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9740806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.185817 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: 0.015470269 0.0044256533 0.003948449 0.0040532444 0.0039955718 0.003919613 0.0038717873 0.004071179 0.003970604 0.0039182063 0.003912932 0.0038840955 0.003892535 0.0037761354 0.0040135067 0.003974472 0.0039058984 0.003820093 0.0039020302 0.0038397862 0.003958296 0.003809895 0.003862644 0.0038524459 0.003925943 0.0038320494 0.0038468193 0.0038070816 0.0039273496 0.0038387312 0.0038840955 0.0038527974 0.0039378996 0.0038580725 0.0038411927 0.0038517425 0.003948801 0.0038144665 0.0038292361 0.003842951 0.003949153 0.003865809 0.0038018066 0.0038116532 0.0038601824 0.003846116 0.0038334562 0.0037986417 0.003939658 0.0038686222 0.003795125 0.0038478742 0.0038682707 0.00379407 0.0038239614 0.0037694538 0.0038601824 0.0038777655 0.003846116 0.0038183348 0.0038127082 0.003837676 0.0038538526 0.0038260713 0.0041692923 0.0040412876 0.0039146896 0.0039354376 0.0040110447 0.0039597023 0.0038615891 0.003909415 0.003965329 0.003970604 0.003829588 0.0038552592 0.003992055 0.0038939419 0.0038735454 0.003948449 0.004093685 0.003859479 0.0040054186 0.003913635 0.0039955718 0.0038475227 0.0038552592 0.0038042683 0.003932273 0.0038348627 0.0037982902 0.0038141147 0.0038454127 0.003787037 0.00379407 0.0040282765 0.0038904252 0.0039206683 0.0038524459 0.003789147 0.0038556107 0.003862644 0.003850336 0.0038591274 0.0038549076 0.0038338078 0.003794422 0.0038144665 0.0038693256 0.0037437826 0.0038675673 0.0037515191 0.003978692 0.0038587758 0.003925943 0.0038422477 0.0039178547 0.0039080083 0.0038250163 0.003841896 0.004118653 0.0038390828 0.00379618 0.0037669924 0.0038633475 0.0038109499 0.0038281812 0.0038478742 0.0044615227 0.0038682707 0.003799345 0.0038225546 0.0038422477 0.003883392 0.003809895 0.003837676 0.0039941655 0.0039153933 0.003864754 0.003825368 0.003758904 0.003820093 0.003828533 0.0038577209 0.003935086 0.003920316 0.0038774137 0.0038004 0.0038531492 0.0038316979 0.0038510393 0.0038134116 0.0038651056 0.0037567941 0.003774377 0.0037694538 0.0038341596 0.0038352145 0.003785982 0.0038506875 0.003844006 0.0037821138 0.0037996967 0.0037954769 0.0038798754 0.0038049717 0.0038183348 0.0038176314 0.0039037883 0.0038345112 0.003827478 0.0038007516 0.0038299395 0.003758904 0.0037712122 0.0037694538 0.0038935903 0.0038383794 0.003830643 0.0037947735 0.0038137631 0.003829588 0.003766289 0.003963219 0.0039245365 0.0037768388 0.0038004 0.003784927 0.0037437826 0.0037631239 0.0037705088 0.0038246647 0.004015265 0.0038728423 0.0038352145 0.0037740255 0.0038587758 0.0038039167 0.0038457643 0.0038141147 0.0039168 0.0038756556 0.0038464677 0.003824313 0.0038883153 0.0038345112 0.0038109499 0.0037933667 0.003864754 0.0037480025 0.003775432 0.0038102465 0.00380462 0.003767344 0.003835918 0.0037866852 0.0038404893 0.0038464677 0.0037314745 0.0038531492 0.003779652 0.0037093197 0.0037814104 0.0038387312 0.0040317927 0.0037793005 0.0038327528 0.0038229064 0.0038805788 0.003739211 0.003783872 0.0036920884 0.0039333277 0.0038137631 0.0037596074 0.003880227 0.0038475227 0.0038011034 0.0038183348 0.0037451892 0.0038735454 0.003759959 0.0038425995 0.0038549076 0.0038566657 0.0038257197 0.0038612373 0.003970604 0.003929108 0.0038809304 0.0038130598 0.0038756556 0.003886557 0.0037771903 0.0039076568 0.004022298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054210477 2.4625135e-06 1.934832e-06 1.934832e-06 5.927622e-05 4.3973455e-06 1.7589382e-06 3.166089e-05 1.7589382e-06 1.7589382e-06 1.934832e-06 3.1836782e-05 1.934832e-06 1.934832e-06 1.934832e-06 3.1836782e-05 0.0066415747 0.000108878274 4.8370803e-05 7.880043e-05 0.001383229 0.0008599449 6.631197e-05 0.00033261522 3.7465383e-05 3.5706445e-05 3.4826975e-05 0.00017730097 3.1133208e-05 3.5530553e-05 3.500287e-05 0.00017976349 0.00073892996 2.8846587e-05 8.091116e-06 1.9700108e-05 9.515856e-05 5.0481525e-05 1.1081311e-05 1.2488461e-05 2.7967119e-05 8.091116e-06 4.239041e-05 7.5634343e-06 6.8598592e-06 7.3875403e-06 7.035753e-06 8.618797e-06 0.0003641002 7.915222e-06 8.267009e-06 9.850054e-06 0.000106943444 6.402535e-05 6.9302165e-05 2.9198374e-05 4.749133e-06 4.221452e-06 3.2364464e-05 4.221452e-06 4.3973455e-06 4.5732395e-06 2.990195e-06 3.3419826e-06 0.0009786732 5.839675e-05 3.9752005e-05 5.4175296e-05 7.756917e-05 3.359572e-05 0.00016393304 9.832465e-05 0.0001338552 2.7791224e-05 2.7439437e-05 2.3393879e-05 1.8292958e-05 1.33679305e-05 1.5126869e-05 3.7465383e-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 0.0005588147 3.3419827e-05 5.69896e-05 7.4403084e-05 4.784312e-05 2.8670693e-05 3.2716252e-05 8.54844e-05 0.00027457025 3.2012675e-05 1.7765276e-05 1.9876003e-05 2.9374269e-05 2.2338516e-05 3.0605526e-05 9.603803e-05 0.00026858988 4.2214517e-05 4.55565e-05 2.2866197e-05 2.1986727e-05 1.6006337e-05 4.0631472e-05 3.8872535e-05 0.00010096305 1.5478656e-05 1.6709913e-05 1.5478656e-05 1.6358126e-05 1.6534019e-05 2.2514409e-05 1.9700108e-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 0.00027175597 4.7667225e-05 4.5380606e-05 4.8722588e-05 8.82987e-05 6.965395e-05 4.5732395e-05 5.857264e-05 6.455303e-05 4.4852924e-05 4.080737e-05 3.9752005e-05 4.5204713e-05 3.9752005e-05 4.1510943e-05 8.847459e-05 0.064604744 0.061540324 0.061444286 0.06114087 0.061259773 0.061090562 0.060982917 0.06129108 0.06155545 0.061193462 0.06083235 0.060808957 0.061467856 0.06064186 0.061012115 0.0614821 12923.0 5.6379323 72859.0 0.010636983 0.009895826 0.010417381 0.010046802 0.01025268 0.010019353 0.010033078 0.01028013 0.01118599 0.010774235 0.010431106 0.010046802 0.010472282 0.010678159 0.010266405 0.009689949 0.010321305 0.011007562 0.0101566035 0.0097997505 0.009703674 0.010266405 0.010060528 0.010527182 0.0099232765 0.010719335 0.010540908 0.010417381 0.010609534 0.010211504 0.010801685 0.010568358 0.01126834 0.010321305 0.0103899315 0.009731124 0.010842861 0.010348756 0.009978177 0.010499733 0.009909552 0.010417381 0.01028013 0.010582083 0.0105134575 0.010074253 0.009895826 0.010623259 0.010609534 0.010197779 0.010362481 0.010458557 0.010623259 0.010499733 0.01073306 0.011062463 0.009580148 0.010005628 0.010115429 0.01022523 0.009854651 0.009909552 0.0098272 0.009909552 0.0103899315 0.010993837 0.010005628 0.010403656 0.010472282 0.011172264 0.010540908 0.010650709 0.010527182 0.011089914 0.010403656 0.01078796 0.011638919 0.009786025 0.010719335 0.011103638 0.010115429 0.010678159 0.011282065 0.01022523 0.01124089 0.010568358 0.010691884 0.011652644 0.010801685 0.010321305 0.010444832 0.009415446 0.01070561 0.0097997505 0.010486008 0.010472282 6.5836787 0.0 0.0 0.0 45.0 2843648.0 11808768.0 0.0 4.0 25.0 0.0 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 1.0 -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 6615552.0 1024.0 4096.0 11.0 4.0 8.0 11.0 11.0 1996288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -197632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 648704.0 0.0 0.0 0.0 0.0 0.0 0.0 26.00148 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8659983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9189396 0.0 0.0 0.0 0.0 0.0 0.0 7307264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 4067328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 6811648.0 1440.0 11381344.0 4063744.0 7311360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 6819864.0 0.0 0.0 24.0 11381236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.21540403 0.029545454 0.012058081 0.014078283 0.013320707 0.00915404 0.018497474 0.004608586 0.004292929 0.0047979797 0.0077651516 0.004166667 0.0023989899 0.004987374 0.003787879 0.0015782828 0.0025252525 0.004166667 0.004166667 0.005050505 0.0027146465 0.0015151515 0.0032828283 0.0029671716 0.002020202 0.0022095959 0.0018308081 0.0027146465 0.0016414141 0.0048611113 0.0022727272 0.0023989899 0.014772727 0.0013257576 0.0037247476 0.0023358585 0.0011994949 0.0017045455 0.0013257576 0.0008838384 0.0031565656 0.0015782828 0.0027777778 0.0032828283 0.0015782828 0.003409091 0.010984848 0.005239899 0.021401515 0.00770202 0.004292929 0.0028409092 0.0019570708 0.0024621212 0.003030303 0.002020202 0.0018939395 0.0028409092 0.0024621212 0.00075757573 0.0019570708 0.0015151515 0.0015151515 0.0012626263 0.0017676768 0.004987374 0.0020833334 0.005050505 0.0021464645 0.0029671716 0.0018308081 0.002020202 0.0045454544 0.0029040405 0.0010732323 0.0014520203 0.0014520203 0.0022727272 0.0024621212 0.0016414141 0.0020833334 0.0013888889 0.004987374 0.00915404 0.003030303 0.008080808 0.0032828283 0.0017045455 0.0011994949 0.001010101 0.0029040405 0.0008838384 0.0013888889 0.0010732323 0.0009469697 0.0017045455 0.0015782828 0.013068181 0.005618687 0.013573232 0.006628788 0.030366162 0.003219697 0.005934343 0.0035353536 0.016729798 0.0009469697 0.0017045455 0.009469697 0.01199495 0.01584596 0.01830808 0.008017677 0.0013888889 0.019318182 0.021085858 0.025 0.00864899 0.0030934343 0.0029040405 0.0024621212 0.007891414 0.0011363636 0.0008838384 0.0015151515 0.00082070706 0.0013257576 0.001010101 0.004166667 0.0017045455 0.0047979797 0.0009469697 0.0011363636 0.0009469697 0.005050505 0.00037878787 0.0005050505 0.0009469697 0.001010101 0.0008838384 0.00069444446 0.0013257576 0.00069444446 0.0013888889 0.0011363636 0.0014520203 0.00063131313 0.0011363636 0.0008838384 0.0014520203 0.0008838384 0.0011363636 0.00075757573 0.0009469697 0.00082070706 0.0013257576 0.001010101 0.0009469697 0.0004419192 0.0008838384 0.0024621212 0.00082070706 0.0009469697 0.001010101 0.0015151515 0.00082070706 0.0011994949 0.0011363636 0.0015151515 0.0013888889 0.00075757573 0.0011994949 0.00082070706 0.00082070706 0.001010101 0.00063131313 0.0009469697 0.001010101 0.00069444446 0.00063131313 0.001010101 0.001010101 0.0005681818 0.0010732323 0.00082070706 0.0005050505 0.00082070706 0.00082070706 0.001010101 0.00075757573 0.0005681818 0.00082070706 0.00069444446 0.0011363636 0.00075757573 0.0011363636 0.0008838384 0.0011363636 0.00082070706 0.0008838384 0.0005681818 0.0013257576 0.00069444446 0.0005050505 0.00069444446 0.0008838384 0.0005681818 0.001010101 0.0013257576 0.0009469697 0.0005050505 0.00069444446 0.0011994949 0.0011994949 0.0011363636 0.0009469697 0.00069444446 0.001010101 0.0005050505 0.00063131313 0.00075757573 0.0004419192 0.0008838384 0.0005681818 0.0011994949 0.0009469697 0.0008838384 0.00069444446 0.0009469697 0.0008838384 0.00082070706 0.0005681818 0.0012626263 0.00063131313 0.0013257576 0.00075757573 0.0008838384 0.0013888889 0.0015782828 0.00082070706 0.0012626263 0.0010732323 0.00075757573 0.0013257576 0.001010101 0.00075757573 0.0013257576 0.0021464645 0.0012626263 0.00063131313 0.0004419192 0.0004419192 0.00075757573 0.001010101 0.0008838384 0.0021464645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04973493 0.00017438616 0.005301339 0.0038713727 0.0074637276 0.0047781807 0.043910436 0.026785715 0.00017438616 3.4877234e-05 0.00013950893 0.00013950893 3.4877234e-05 0.00013950893 0.0001046317 6.975447e-05 0.04575893 0.0041852677 0.00453404 0.0019880023 0.0014299665 0.0016043527 0.0041155135 0.003313337 0.0006626674 0.000453404 0.00055803574 0.00052315847 0.00048828125 0.00069754466 0.00069754466 0.0004185268 0.077671595 0.0047084265 0.007219587 0.008056641 0.0036969867 0.0037318638 0.019670758 0.012520926 0.0020926339 0.0006626674 0.00059291295 0.00052315847 0.00055803574 0.00024414062 0.000453404 0.000453404 0.061418805 0.0034877232 0.0063825333 0.002546038 0.005266462 0.008231027 0.027169364 0.018275669 0.001953125 0.0019182478 0.0011509487 0.0012207031 0.0011160715 0.0009416853 0.0010463169 0.0007324219 0.016950335 0.00327846 0.002859933 0.0017089844 0.0041503906 0.0038016182 0.02179827 0.013776506 0.0013602121 0.000453404 0.00017438616 0.00027901787 0.00027901787 6.975447e-05 0.00024414062 0.00024414062 0.028494699 0.003592355 0.004813058 0.0055803573 0.0020228794 0.0029645648 0.006417411 0.004638672 0.0026506695 0.0012207031 0.0021275112 0.0011160715 0.0013253348 0.0011509487 0.001499721 0.001813616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06968471 0.024623325 0.02657645 0.035749163 0.016183035 0.020751953 0.04460798 0.031668525 0.01649693 0.010672433 0.011823381 0.008161272 0.008684431 0.008928572 0.010393416 0.012137277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 249.0 20.104418 5006.0 0.03455853 0.0007990411 0.004794247 0.0009988014 0.0007990411 0.0009988014 0.0009988014 0.00019976028 0.0021973632 0.0007990411 0.00019976028 0.00039952056 0.0021973632 0.0073911306 0.025968837 0.012784658 0.027167398 0.014782261 0.00699161 0.004794247 0.0033959248 0.005393528 0.004194966 0.0017978426 0.002796644 0.004794247 0.005393528 0.00039952056 0.0025968838 0.0031961645 0.0023971235 0.00039952056 0.001398322 0.012185378 0.0037954454 0.011386337 0.0033959248 0.0049940073 0.0025968838 0.002796644 0.0045944867 0.004194966 0.00019976028 0.0009988014 0.0007990411 0.0045944867 0.004194966 0.0015980822 0.0033959248 0.0 0.0061925687 0.021973632 0.007590891 0.0011985617 0.004194966 0.0033959248 0.00039952056 0.00039952056 0.0045944867 0.00039952056 0.0019976029 0.00039952056 0.0005992809 0.0029964044 0.0005992809 0.03635637 0.01418298 0.037754696 0.017778665 0.08669596 0.0061925687 0.015181782 0.007590891 0.046544146 0.0007990411 0.004194966 0.023971235 0.03455853 0.043747503 0.04834199 0.018777467 0.0005992809 0.051138632 0.05673192 0.07271274 0.023571715 0.007790651 0.0067918496 0.0037954454 0.021773871 0.0009988014 0.0 0.0 0.00019976028 0.00019976028 0.00039952056 5.339519 0.0 18.0 0.0 1.0 15840.0 32768.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1536586500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 11.0 0.0 4.0 0.0 6.0 0.0 6144.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4505043 0.0 4.3766294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5876.0 0.0 1376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 13976.0 1376.0 16384.0 0.0 0.0 7136.0 8704.0 12.0 24576.0 28.0 13664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.24388057 0.0070242067 0.005187565 0.0049329274 0.005336555 0.0044453233 0.008952952 0.0043559293 0.00893128 0.0034078103 0.0028443567 0.0020831528 0.00510088 0.0019802141 0.001433014 0.007268009 0.004941054 0.001370709 0.0014140516 0.0013490377 0.0023052834 0.0019287448 0.0018095527 0.001191921 0.0024217668 0.0013842536 0.0011377428 0.0012460991 0.0017526656 0.0011241982 0.0011621229 0.0015115725 0.0047433036 0.001313822 0.0016659804 0.0014194695 0.0038547807 0.0011350338 0.0010320952 0.0010700199 0.0018176794 0.000915612 0.0009264476 0.0022971567 0.0013680002 0.0021183686 0.0012542258 0.0009129031 0.0022240162 0.0011702497 0.0012488081 0.004244864 0.0014059249 0.004060658 0.0011160715 0.0009860437 0.0016416002 0.0019775052 0.0011756675 0.0029202064 0.0015224081 0.0013192397 0.0011404516 0.001370709 0.0038764519 0.0037003728 0.00470267 0.006160064 0.004147343 0.008923153 0.0022104715 0.0018068438 0.0052607055 0.0017960082 0.001373418 0.0011702497 0.002467818 0.0035486738 0.0015196992 0.0013327843 0.004515755 0.0017472478 0.0012325546 0.002440729 0.0016632715 0.0027089112 0.003023145 0.0027116202 0.0017174497 0.0033834302 0.001159414 0.0014980279 0.004426361 0.0029391686 0.001953125 0.0020912795 0.0016443091 0.003023145 0.0016009666 0.0021183686 0.0021752557 0.0041933944 0.003694955 0.0012596437 0.0026140993 0.0025517943 0.0038574897 0.0012352635 0.0023567528 0.0014573942 0.0028253945 0.0029202064 0.0021183686 0.0009670813 0.003665157 0.0030664876 0.007947946 0.006921268 0.0017770458 0.0013625823 0.0014492675 0.0015359527 0.0011025269 0.0009887526 0.0015034458 0.0022023448 0.0017553745 0.0018122616 0.0035324201 0.0022700676 0.0017309943 0.0078856405 0.0020398102 0.0063903215 0.0009806259 0.0010429309 0.002194218 0.0069375215 0.001403216 0.01910866 0.0011160715 0.0057483097 0.00085601595 0.0010456397 0.0012786061 0.000793711 0.00088581396 0.0008912318 0.0010185506 0.004052531 0.0008722694 0.000823509 0.0012704794 0.0009941704 0.00082621793 0.0008316357 0.0014275962 0.0013463289 0.00077745755 0.0016686893 0.0014465586 0.0013327843 0.00097249914 0.0014465586 0.0012786061 0.0011052358 0.0010239684 0.0009345744 0.0014167606 0.0010916912 0.00092915655 0.0011783764 0.0010916912 0.00097520807 0.0009914616 0.0009643724 0.0015034458 0.0009670813 0.0010402219 0.0011079446 0.0013896715 0.0011756675 0.0023648795 0.002075026 0.0020398102 0.0015332438 0.0014980279 0.0013192397 0.0012298457 0.0011512872 0.0012542258 0.0012569348 0.0059189713 0.0033698855 0.002047937 0.0036163966 0.0026655686 0.0012244278 0.002530123 0.0032263133 0.0033834302 0.0037653865 0.0022727766 0.0022700676 0.0071271453 0.0022185983 0.0026438974 0.0026736953 0.0037355886 0.0032154776 0.0037978936 0.0037653865 0.0041690143 0.0038601984 0.0043152957 0.0044697034 0.005168603 0.0046539097 0.0044046897 0.004892294 0.0044101076 0.0040146066 0.003751842 0.003627232 0.0049220915 0.003451153 0.003294036 0.0030989945 0.003475533 0.0033048717 0.0024976162 0.0023567528 0.012523296 0.0031504638 0.002232143 0.004450741 0.004020024 0.0022619409 0.0027712162 0.0025870102 0.0044697034 0.0026601509 0.0024759448 0.0026926578 0.0037410064 0.0034348995 0.0055180523 0.004997941 0.005425949 0.0027576715 0.0023432083 0.0016551447 0.0036218143 0.0033725945 0.0032263133 0.06937793 0.0027855153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052704453 0.0 6.8005747e-06 8.1606895e-06 1.3601149e-06 5.4404595e-06 1.3601149e-06 2.7202298e-06 1.3601149e-06 5.1684365e-05 2.3121953e-05 9.520804e-06 9.520804e-06 8.1606895e-06 9.520804e-06 0.00016185368 0.005054187 5.4404595e-06 4.0803448e-06 1.2241034e-05 1.3601149e-06 5.4404595e-06 1.3601149e-06 8.1606895e-06 6.8005747e-06 3.2642758e-05 4.7604022e-05 1.0880919e-05 2.4482068e-05 4.0803448e-06 1.4961264e-05 0.0003373085 0.009732982 2.4482068e-05 4.3523676e-05 4.7604022e-05 5.7124827e-05 2.3121953e-05 5.4404598e-05 4.4883793e-05 1.9041609e-05 7.208609e-05 0.00015233287 2.4482068e-05 3.8083217e-05 2.1761838e-05 0.00026114206 0.00052500435 0.017797103 0.0001917762 5.032425e-05 8.5687236e-05 0.00015641321 1.2241034e-05 3.400287e-05 7.480632e-05 8.296701e-05 9.928839e-05 0.0004488379 0.00024210045 0.000119690114 0.00016185368 0.00045699862 0.0022700317 0.012207031 0.00010744908 5.032425e-05 8.432713e-05 4.6243906e-05 5.1684365e-05 3.128264e-05 6.664563e-05 8.160689e-05 6.936586e-05 0.00029922527 0.00060117076 0.00014825253 9.792827e-05 0.00023666 0.002533894 0.016729413 6.800574e-05 0.00033050793 5.7124827e-05 0.00021761839 9.928839e-05 0.002498531 0.0011384161 2.7202299e-05 8.296701e-05 0.00025162127 0.0008827146 0.0007671048 0.0021816243 0.00090855674 0.0043999716 0.0537531 0.0010445683 0.0018402354 0.0009847232 0.0023271565 0.0007303817 0.0032520348 0.002048333 0.0004923616 0.00049644196 0.00083511055 0.0018334349 0.00651087 0.026663693 0.010920363 0.025542958 0.03306303 0.0005454061 0.0010132856 0.00060389104 0.0017436673 0.00058212917 0.0026930275 0.0014444421 0.00033866861 0.00037131135 0.00078342616 0.0014607634 0.003184029 0.011540575 0.010017246 0.022537105 0.018781826 0.00043523678 0.0004842009 0.0004637992 0.0019776071 0.0007208609 0.0027528726 0.0015070073 0.00035771023 0.00026930275 0.00038627264 0.000627013 0.0019925684 0.0063408557 0.0047005573 0.008341584 0.0071909274 0.00043115643 0.0008949556 0.00037811193 0.0017042239 0.0004474778 0.0035594206 0.0019585656 0.00014417218 7.888667e-05 0.000115609764 0.00014145195 0.00021217793 0.0008215094 0.00030738596 0.001112574 0.022533024 0.0014403617 0.0017844707 0.0013451537 0.0022523503 0.0014852454 0.0029337679 0.0022768322 0.0017055841 0.0011465768 0.0011316156 0.001018726 0.0012567461 0.0011098537 0.0012825883 0.002650864 0.021983538 0.0018973603 0.0020782556 0.0017368668 0.0024998912 0.0018891996 0.0019436042 0.0018089528 0.0029174464 0.0015614119 0.0013927576 0.0015464507 0.0020646544 0.0013410733 0.0017001437 0.0045631854 0.031651232 0.0050936304 0.0035907032 0.0050936304 0.010433441 0.009209338 0.0043006833 0.008066841 0.019113695 0.0019164019 0.001585894 0.0026835068 0.008827146 0.0023121953 0.00840143 0.016995996 0.031890616 0.006417022 0.004865131 0.006219805 0.01349778 0.011687468 0.005934181 0.009898916 0.022201156 0.0025529356 0.0021993057 0.0030194551 0.011751393 0.0044203736 0.009099169 0.015905183 0.025182527 0.010425281 0.010867318 0.012504896 0.017276179 0.012397448 0.00959017 0.009962842 0.017006876 0.011026451 0.0085741645 0.008852988 0.014162877 0.009280064 0.012175749 0.014056788 976.0 11.202868 10934.0 0.037955 0.0012804097 0.004115603 0.002835193 0.0075910008 0.0015547832 0.0010060362 0.0050301813 0.0038412292 0.0023779038 0.0018291568 0.0030181087 0.0032010244 0.0024693615 0.006584964 0.0023779038 0.004389976 0.0031095664 0.0034753978 0.0034753978 0.003292482 0.008505579 0.0018291568 0.002194988 0.0026522772 0.0042070607 0.003292482 0.0042985184 0.0034753978 0.0018291568 0.002926651 0.0057618436 0.015456375 0.009603073 0.0031095664 0.008688495 0.0072251693 0.011798061 0.0059447596 0.0090543255 0.009877446 0.0072251693 0.0025608195 0.002286446 0.0064020487 0.0057618436 0.004572892 0.0038412292 0.017925736 0.0042985184 0.003932687 0.014541796 0.006219133 0.0040241447 0.010334736 0.013261386 0.0038412292 0.00338394 0.0024693615 0.0026522772 0.007133711 0.0025608195 0.0024693615 0.014450339 0.0072251693 0.040790197 0.011980977 0.029083593 0.026339857 0.0746296 0.011157856 0.0090543255 0.009511615 0.03301628 0.0104261935 0.005578928 0.030089628 0.012895555 0.036583137 0.050210353 0.015090543 0.0023779038 0.049661607 0.036125846 0.058533017 0.020029267 0.008779952 0.0048472653 0.006676422 0.010334736 0.0035668556 0.0012804097 0.0020120724 0.0021035303 0.002926651 0.004389976 5.785096 1.0 0.0 0.0 5.0 369152.0 425984.0 1.0 0.0 108.0 0.0 1.0 0.0 0.0 0.0 1415181300.0 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 12.0 0.0 6.0 0.0 6.0 0.0 156160.0 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 54272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156160.0 0.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8069696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9784217 0.0 5.7837687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53782.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156010.0 0.0 134744.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 214996.0 134744.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164416.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 209176.0 0.0 0.0 452.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.5104405 0.008018542 0.0047102035 0.005707759 0.0054053045 0.0030937437 0.0060389815 0.004575693 0.007069193 0.0021358416 0.0013070076 0.0020363193 0.003864264 0.0014726189 0.0012883472 0.0043696505 0.0040104375 0.001259579 0.0020098838 0.0017603006 0.0022268114 0.0017976214 0.001106408 0.00080628606 0.0021879354 0.0009734524 0.0008801503 0.0009555695 0.001754858 0.00075574743 0.0008754852 0.001088525 0.011113841 0.0009571246 0.00079695584 0.0009633447 0.0071282843 0.0011748296 0.0005862485 0.00076041254 0.0015425956 0.00095945713 0.00062201434 0.0016576682 0.0013077852 0.0014283004 0.00088248285 0.0008630449 0.006714645 0.002733753 0.0023411065 0.0041713836 0.002341884 0.002670774 0.0022524693 0.0021739402 0.0026186802 0.0019795606 0.0016211248 0.0028573782 0.0016024645 0.0014905018 0.00097734 0.0014617337 0.0019632326 0.0016327876 0.0010721972 0.0011056304 0.0040765265 0.0031714956 0.0028122822 0.0031629428 0.0018730407 0.000995223 0.00043696506 0.00062823447 0.0020860806 0.002756301 0.0011351762 0.0008498271 0.0035073834 0.0014858367 0.0023053407 0.0017890687 0.0020199916 0.0015379305 0.0022975653 0.0014695089 0.0018893685 0.001280572 0.00045329295 0.0021296216 0.0012766845 0.0028464932 0.0016102396 0.0018489376 0.00096256717 0.0035136035 0.0008576023 0.0022859026 0.0029040293 0.006201483 0.0016825488 0.00095790206 0.0029576782 0.0027524135 0.0021443944 0.00073475443 0.0025751393 0.0011134057 0.002951458 0.004847824 0.0017937338 0.00043696506 0.004263908 0.0028775937 0.0062877876 0.005272349 0.0011367312 0.00091202854 0.001017771 0.0010791948 0.00043541004 0.00031411723 0.0010286561 0.0007401971 0.0006017989 0.000738642 0.0015558134 0.0010566468 0.00045251544 0.005983778 0.002086858 0.003673772 0.00055514777 0.00043541004 0.0009439067 0.005497829 0.0008848154 0.01272097 0.0007378645 0.0052980073 0.0004027543 0.00028923666 0.0007331994 0.0003203374 0.00035921327 0.00047117585 0.00067955063 0.0005753632 0.00027912893 0.0003646559 0.0006554476 0.00026591113 0.00021459494 0.0005217145 0.00053182227 0.00034910554 0.0003506606 0.00032811257 0.0006647778 0.00075574743 0.00028301653 0.00063523214 0.00089103554 0.00032422497 0.00022625772 0.00022081508 0.0007681877 0.00026591113 0.00021926005 0.0005605904 0.0009991105 0.000954792 0.00025036075 0.00029312426 0.00066944293 0.0002519158 0.00028301653 0.0006476724 0.00048983627 0.0006196818 0.0007674102 0.0005916911 0.0010201035 0.0007627451 0.0004906138 0.00081717136 0.0006997661 0.000477396 0.00053182227 0.00039653413 0.0037484139 0.0020876357 0.0011375087 0.0022221461 0.0021552797 0.0004602906 0.0012339209 0.0027197576 0.0013023425 0.0011577242 0.00071764906 0.00055203773 0.005539815 0.0005637005 0.0008980332 0.00065622514 0.0012712418 0.000803176 0.0008576023 0.00047584096 0.0005084967 0.00024802823 0.00041130697 0.0004470728 0.0010457616 0.00073553197 0.00031489474 0.0005683656 0.000803176 0.0005652555 0.0004253023 0.00050460914 0.0015472607 0.00063989725 0.0003389978 0.00037009854 0.0007907357 0.0006476724 0.0003382203 0.00034599548 0.004832274 0.0010395414 0.0003389978 0.001969453 0.0017416402 0.00034133036 0.00039653413 0.00038253883 0.0018015091 0.0006391197 0.00052715716 0.0005294897 0.00093457656 0.0003996442 0.0013730966 0.000890258 0.0024942774 0.0010963003 0.0008086186 0.0007876257 0.0044551776 0.0026357858 0.03898008 0.024421837 0.18296307 6.186193e-05 2.412226e-05 2.2565986e-05 4.552104e-05 3.7739665e-05 1.206113e-05 3.4238048e-05 7.003237e-06 5.0578933e-06 1.556275e-05 1.206113e-05 1.1672062e-05 6.6141683e-06 3.5016185e-06 4.279756e-06 0.02346668 0.00032020357 6.536354e-05 0.000104659484 0.00014473357 0.000105437626 3.696153e-05 0.000104659484 2.0231573e-05 2.3733191e-05 3.0736428e-05 2.2176917e-05 1.1672062e-05 1.7508093e-05 1.3617406e-05 0.0002128206 0.052411057 0.00043342257 0.0001704121 0.0001941453 0.00015484935 0.00013889754 9.8434386e-05 0.00014084288 8.9096735e-05 8.9096735e-05 0.00013695219 0.00011905503 0.00011205179 0.0001318943 0.00015368215 0.0043902514 0.026865974 0.00089874875 0.00015446029 0.00027896228 0.00011827689 0.00011360807 5.9916583e-05 0.00011360807 7.625747e-05 5.174614e-05 7.158865e-05 6.730889e-05 8.1704435e-05 3.618339e-05 7.937002e-05 0.0028047964 0.029548602 0.00067659054 0.0002898562 0.00042447398 0.00019842506 0.00020542828 0.00010621576 0.000108939246 9.220929e-05 7.042144e-05 0.0005011205 2.6456673e-05 9.2598355e-05 3.268177e-05 0.00010115787 0.009755898 0.027912568 0.0010613794 0.0008326071 0.000707716 0.0002314959 0.00027079185 0.00024277889 0.00022488172 0.00014745705 0.00022371452 0.0002859655 0.0003945157 0.00019142182 0.00017469186 9.065301e-05 0.0068479986 0.041788317 0.0017173494 0.0015975162 0.00092909613 0.000707716 0.0006602496 0.0009886236 0.0007240569 0.00035755415 0.00042019424 0.00040268613 0.0005415837 0.0007225006 0.0005248537 0.00045248691 0.008022986 0.048744086 0.0029468066 0.00238966 0.0013329495 0.0010796657 0.0011298556 0.0019219995 0.0016457607 0.00078669697 0.0011971644 0.0011539778 0.0008174334 0.00069487677 0.0004972298 0.0005762108 0.008782838 0.033846643 0.0018815363 0.0027872883 0.0014080397 0.001182769 0.0011041771 0.004783989 0.0027919572 0.00075596053 0.00097267184 0.0009516621 0.000934154 0.00089291274 0.0007030472 0.0005334132 0.0090116095 0.021621717 0.0016609344 0.002497432 0.0015718377 0.0017749316 0.0018753113 0.008122977 0.00454549 0.00061784114 0.0007053816 0.00073728524 0.0004929501 0.0004478181 0.00041630355 0.0003746732 0.003533133 0.016843952 0.0016239729 0.008359531 0.012694923 0.009354768 0.007438605 0.014295163 0.0047030626 0.00067736866 0.0002688465 0.00037739667 0.00024666957 0.00061356137 0.00031281126 0.0003941266 0.003866954 0.0031724663 0.0007738577 0.00083571963 0.01049046 0.00075985125 0.0007882532 0.0011485309 0.0008983597 0.0008859095 0.00069370953 0.00066375127 0.00063612737 0.0007956455 0.0006878735 0.0006878735 0.00078280625 0.006011501 0.00062523346 0.000792533 0.00095360744 0.0006610278 0.0008684014 0.00055636826 0.00065402454 0.0030790898 0.0003719497 0.00040229707 0.00063651643 0.0022009618 0.0005338023 0.00087773905 0.003085704 0.0426466 0.006940597 0.008598419 0.0063153636 0.009556695 0.010597065 0.0048038317 0.008369646 0.026010022 0.0013671875 0.0017683173 0.0033156436 0.015126992 0.0036533554 0.007965015 0.015076802 0.013670319 0.002757719 0.003307084 0.0023904382 0.0037436192 0.004385194 0.0022099104 0.003833105 0.00895714 0.0004875031 0.000758684 0.0012045568 0.0051146974 0.0021982384 0.00371405 0.006606387 9.33765e-05 5.4080552e-05 5.252428e-05 4.3964767e-05 5.0968003e-05 3.968501e-05 5.213521e-05 4.7077316e-05 3.657246e-05 4.2019423e-05 5.0189865e-05 4.1630352e-05 5.0189865e-05 5.252428e-05 4.591011e-05 4.3964767e-05 5741.0 20.560007 118035.0 0.09666625 0.0011098403 0.0004998517 0.00045749143 0.0031007752 0.0039395094 0.0005591562 0.0012792816 0.002939806 0.0028466133 0.0006354048 0.0019485746 0.0027025882 0.004371585 0.004397001 0.0048883804 0.04963782 0.017003432 0.014216122 0.0147583345 0.013419748 0.017782861 0.016537467 0.015334435 0.014114457 0.009946203 0.008200957 0.0052865674 0.0048968527 0.0034311856 0.0031685517 0.0035243784 0.0044817217 0.005608506 0.0018469099 0.004252976 0.012292964 0.004786716 0.014055153 0.026754776 0.008328038 0.00558309 0.00040665903 0.0025670351 0.0067607067 0.015495404 0.004464777 0.0038547888 0.007641801 0.0036345152 0.018401321 0.00776041 0.011276316 0.0016435803 0.0074384715 0.002948278 0.011869361 0.0011776168 0.0010928962 0.013445165 0.0038124286 0.013521413 0.0015164993 0.0085822 0.0014148346 0.03267675 0.006023637 0.021078493 0.023721777 0.060549837 0.0059728045 0.0062015504 0.0062269666 0.02446732 0.0010081755 0.0032448003 0.018791037 0.008489007 0.026763247 0.04779091 0.008184013 0.0005845724 0.036226545 0.020909052 0.023018597 0.01314017 0.004981573 0.002126488 0.0040411744 0.007260558 0.0011860889 0.00021180158 0.0017452451 0.00026263396 0.00033041046 0.00046596347 5.7169766 0.0 0.0 0.0 5.0 1286144.0 127279100.0 1.0 0.0 149.0 1.0 1.0 0.0 1.0 0.0 1541614100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 15.0 6.0 0.0 6.0 0.0 333312.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 189952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -333312.0 0.0 562176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.635326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5477257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.33717543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6549387 0.0 2.5962152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 189728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126152540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -332810.0 0.0 561976.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 526136.0 561976.0 126685180.0 0.0 0.0 0.0 0.0 27004.0 127250430.0 84.0 517216.0 0.0 0.0 0.0 0.0 24.0 517464.0 64.0 517304.0 0.0 0.0 616.0 339968.0 96.0 525852.0 0.0 0.0


Input: 0.1203634 0.0041368995 0.0035678544 0.0032862853 0.0042993436 0.0030751086 0.0028107683 0.0028299661 0.00451052 0.0025882698 0.002890021 0.0027177325 0.0035018926 0.0030849536 0.0026182972 0.0038302257 0.003173067 0.0025567655 0.0024947415 0.0025104936 0.0029485994 0.002988964 0.0026803212 0.0025173852 0.0027649887 0.002602545 0.0025695642 0.0026660457 0.0027512056 0.002658662 0.0026581697 0.0028107683 0.0065509113 0.0023938294 0.0024794817 0.0027649887 0.0036692587 0.0026192816 0.0023618331 0.0026798288 0.0026232197 0.0025794092 0.0039439364 0.0029579522 0.0026872128 0.0028540867 0.002833412 0.002516893 0.002765481 0.0027974774 0.0026350338 0.0042919596 0.0026020529 0.0026832747 0.0025543042 0.0025848239 0.0028343964 0.003138117 0.0027605584 0.0035575172 0.0028358733 0.0028870676 0.0027162556 0.002793047 0.0029018354 0.0028462105 0.002804369 0.0030455734 0.00508055 0.0054005147 0.0032109707 0.0028998663 0.0028265205 0.0031489467 0.0026128823 0.0027374225 0.0028639317 0.0035023848 0.002996348 0.0029840416 0.004252087 0.0033271424 0.0032385367 0.0034452833 0.002880176 0.0034246086 0.0035043538 0.0033684918 0.0028211058 0.00316716 0.0025641492 0.0030086543 0.0028555635 0.0034886017 0.003223277 0.0031602685 0.0024740668 0.0035909903 0.0026749063 0.003283824 0.003644646 0.004926967 0.0037160227 0.0032459206 0.0039606728 0.0039168624 0.0035023848 0.002881653 0.0035368425 0.0030204684 0.0038085666 0.0042274743 0.0030756008 0.01256182 0.0047975043 0.0045700828 0.0062462064 0.0051760473 0.0034014727 0.0034945086 0.0033891664 0.0034221474 0.0030588643 0.0032857931 0.003134179 0.0035816375 0.0032345988 0.0033527396 0.0030923374 0.0028309508 0.0027448065 0.0052469317 0.003223277 0.0044160075 0.0028708233 0.002773357 0.0029958556 0.005458601 0.0028698388 0.009784526 0.0030692015 0.005416267 0.0029485994 0.0029082345 0.002870331 0.0027467753 0.002765481 0.0029077423 0.0029860106 0.002881653 0.0027974774 0.0028959282 0.0028206133 0.0028476873 0.0027861556 0.002816183 0.0030820002 0.0031666677 0.0031602685 0.003171098 0.002800431 0.0030165303 0.0027187169 0.003002255 0.0028417804 0.002858517 0.0027329922 0.0030012706 0.002885591 0.0028688542 0.0028462105 0.0029569676 0.003188327 0.0031804508 0.0036293862 0.002890021 0.002602545 0.0027310234 0.0026128823 0.002751698 0.0028058458 0.0030475424 0.003043112 0.0030347437 0.0030027472 0.0030317903 0.0027452987 0.0029407232 0.0029333394 0.0030918452 0.0029476148 0.0030765852 0.003910463 0.0030416353 0.003134179 0.0033355108 0.0035186291 0.0128458515 0.004095058 0.0043869647 0.0036564602 0.0035240438 0.0032867775 0.0032523198 0.0065784776 0.0032813628 0.0035186291 0.003562932 0.0033182818 0.0032597037 0.0034393764 0.0031474698 0.0032862853 0.0030573874 0.003415748 0.0032887466 0.0032286916 0.0031602685 0.0031007058 0.0033625846 0.0032395213 0.003134179 0.0033182818 0.0034004883 0.0033227121 0.0029766578 0.0030322825 0.00318685 0.0035205982 0.003295146 0.0032400135 0.0033616002 0.0060640727 0.003712577 0.0031371326 0.0040512476 0.004044356 0.0034841713 0.0036948558 0.0042378115 0.0034610354 0.0030283444 0.0030756008 0.0032178622 0.0033424024 0.0031504233 0.0034595586 0.0036008356 0.0036746736 0.0032857931 0.0030844614 0.0037302983 0.004115733 0.0036165875 0.010888651 0.020446248 0.0156227825 8.376167e-06 6.651662e-06 0.0 1.9708627e-06 2.4635784e-07 7.390735e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004727607 2.4635784e-07 0.0 2.4635784e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.9708627e-06 0.0 2.4635784e-07 2.9070226e-05 0.0036140697 1.256425e-05 4.1880835e-06 1.256425e-05 1.8230481e-05 2.4635785e-06 6.1589462e-06 2.1925849e-05 2.0447702e-05 1.601326e-05 3.7446393e-05 5.838681e-05 2.0940417e-05 2.4635785e-06 3.9417255e-06 0.00018452202 0.0033888984 9.263055e-05 4.5329845e-05 1.5274187e-05 4.434441e-06 9.361598e-06 4.680799e-06 1.5766902e-05 2.9316583e-05 5.1735146e-06 1.7737764e-05 2.4635785e-06 1.3549681e-05 0.0 1.0839745e-05 0.00038086923 0.00041511297 1.3303324e-05 1.478147e-06 0.0 0.0 3.9417255e-06 1.23178925e-05 2.956294e-06 7.883451e-06 1.8723196e-05 1.1332461e-05 7.390735e-07 7.390735e-07 0.0 7.390735e-07 1.5274187e-05 0.0017518506 1.4042397e-05 2.956294e-06 9.115241e-06 4.434441e-06 3.6953677e-06 2.7099363e-06 9.607956e-06 2.291128e-05 2.4635785e-06 1.0100672e-05 7.1443774e-06 7.390735e-05 3.9663613e-05 3.892454e-05 0.0005291767 0.0037650869 7.883451e-05 7.587822e-05 3.424374e-05 0.00027665985 3.2272877e-05 4.0895404e-05 7.2921925e-05 3.0055657e-05 9.484777e-05 9.41087e-05 2.4389426e-05 5.6662306e-05 3.3258308e-05 9.9528566e-05 0.00074030535 0.023198534 0.00022812736 0.0049027675 0.00039663614 0.0016025578 0.0006925119 0.0063602207 0.0032245778 7.316828e-05 8.794975e-05 5.838681e-05 0.00010445573 0.0001524955 7.316828e-05 9.607956e-05 0.0006252562 0.028320806 6.5777545e-05 0.0012406581 0.00021063596 0.001263323 0.0006518629 0.0025296023 0.015323951 0.0035423795 0.0010763374 6.676298e-05 0.00010076036 0.0142705245 0.004450208 0.00016653791 0.000887381 0.0041033365 0.00013426502 0.00021580947 0.00010938288 0.00049000577 0.00025103864 0.0013332886 0.00078046165 6.971927e-05 0.0007449861 0.001091858 9.139876e-05 0.00018501474 0.00027616715 0.0016276863 0.0021181847 0.0063262233 0.00024118433 0.00040476595 0.0001946227 0.0005013382 0.00035623345 0.001040862 0.00076715834 0.00025227043 0.0012638158 0.0021026642 0.00024093797 0.00038481096 0.0005673621 0.003032665 0.0025047201 0.004595559 0.0002091578 0.00014682928 0.00013106238 0.00021309954 0.0001601326 0.00018723197 0.0003207579 0.00026582013 0.00096695457 0.0012719455 0.0002934122 0.0005240031 0.0006447185 0.0020864045 0.002614596 0.0069578844 0.00040920038 0.00046487726 0.0004762097 0.00067526684 0.0006760059 0.00076863647 0.00091152405 0.0014409471 0.0007787371 0.001000952 0.0010659904 0.0017456916 0.0014411934 0.002046741 0.005880808 0.01888801 0.0024529852 0.0020080628 0.0027966544 0.0046822773 0.005281912 0.0025879892 0.004094714 0.010734304 0.001745199 0.0017193314 0.0024633321 0.007227154 0.0024640711 0.0046256147 0.012000337 0.013273268 0.0021965266 0.0018479303 0.0028057694 0.004727607 0.0047919066 0.0026109004 0.0034618205 0.008937616 0.00097582344 0.0010736275 0.0015660968 0.0051727756 0.0017422427 0.00359781 0.0078176735 0.035393 0.03723083 0.037187718 0.039286934 0.037443683 0.038861964 0.038969625 0.040834304 0.03727887 0.038959276 0.038904093 0.040418945 0.039162274 0.040463783 0.040982366 0.04223485 6879.0 6.7851434 46675.0 0.013240493 0.0065131225 0.0067916443 0.0077986075 0.010498125 0.0077986075 0.0068559186 0.007391537 0.007841457 0.006748795 0.0071344404 0.007841457 0.00799143 0.010712373 0.011697911 0.0076272096 0.0065131225 0.006984467 0.0064702732 0.00799143 0.008184253 0.006405999 0.008141403 0.0072844136 0.008934119 0.008355651 0.008269952 0.008205677 0.007905731 0.0075629354 0.008141403 0.009062667 0.011719336 0.009276914 0.0077129086 0.011033744 0.009833958 0.009105517 0.010498125 0.009876808 0.0084413495 0.009855383 0.0076486343 0.008098554 0.010005356 0.0092983395 0.009469737 0.009041242 0.013626138 0.00884842 0.010326727 0.012983396 0.009448313 0.007970005 0.011397964 0.01304767 0.008784146 0.007841457 0.007412962 0.008634172 0.010669523 0.008527049 0.008205677 0.009898232 0.0077129086 0.018789502 0.009276914 0.015447241 0.0147188 0.03222282 0.009619711 0.012404928 0.011976433 0.019453669 0.008677022 0.00889127 0.018361008 0.012790573 0.018425282 0.021553295 0.011419389 0.0075415103 0.022860203 0.019003749 0.027573647 0.013561864 0.012169256 0.008655597 0.010219604 0.010262453 0.008634172 0.008162828 0.008141403 0.008312801 0.0071772896 0.008548474 6.4809375 0.0 0.0 0.0 22.0 2031473.0 12480512.0 1.0 0.0 251.0 0.0 1.0 0.0 0.0 0.0 1422383700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 268288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 12094464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4489875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.338471 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5979166 0.0 7.5660806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20782.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61514.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268144.0 0.0 12093976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 -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 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 -2.0 0.0 -1.0 -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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 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 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 330064.0 12093976.0 360448.0 0.0 0.0 10480.0 12453888.0 14692.0 12455936.0 28.0 275616.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 309632.0 0.0 0.0 1060.0 274432.0 64.0 329888.0 0.0 0.0