Input: 0.6622104 0.0013234608 0.0012981965 0.0014194652 0.0014653296 0.0012748756 0.0012604943 0.001283038 0.0013036381 0.0013234608 0.0014921486 0.0013545554 0.0013242381 0.001295087 0.0012647699 0.0012744869 0.0013207401 0.0012748756 0.0012818719 0.001259717 0.0012908116 0.0013083023 0.0012612718 0.0013191854 0.0012601058 0.0013219061 0.0012554416 0.0013331779 0.0012717661 0.0012698227 0.0012931436 0.0013145212 0.0016437344 0.0012674907 0.0012993625 0.0012931436 0.0012601058 0.0013510572 0.0013378421 0.0012717661 0.0012632152 0.0012923663 0.0012433924 0.0014116915 0.001284204 0.0013145212 0.0012721549 0.0014707712 0.0012686567 0.0012601058 0.0013226834 0.0012624378 0.0013164645 0.0012993625 0.0013199627 0.0012919776 0.0012709888 0.001242615 0.0013079136 0.0012997512 0.0016923196 0.0013063588 0.0017311878 0.0012632152 0.0012892568 0.0013226834 0.0012818719 0.0012978078 0.0012869247 0.0020293065 0.0013156872 0.001301306 0.001251166 0.0012900342 0.0013055814 0.0012581623 0.0013040267 0.001319574 0.0013242381 0.0012974192 0.0012970305 0.0012632152 0.0012946983 0.0013071361 0.0013327892 0.0013176306 0.0012900342 0.001242615 0.0013028607 0.001318408 0.0012880908 0.0012810945 0.0012632152 0.0012810945 0.0013028607 0.0012873134 0.0013051928 0.0016771611 0.0014532804 0.0014035292 0.00166861 0.0016962065 0.0013273476 0.001347559 0.0014295708 0.0016196362 0.0012931436 0.0013642724 0.0016802705 0.0014167444 0.0015045864 0.0015162469 0.0013837065 0.0012616605 0.001630908 0.0015232431 0.0017685012 0.0014497823 0.0013300685 0.0012985852 0.0013572761 0.0013374534 0.0012954758 0.001292755 0.001268268 0.0013020834 0.0012702114 0.0012861474 0.0013580535 0.0013261816 0.0012799285 0.0013324005 0.0013180192 0.0014517257 0.0012838152 0.0013079136 0.0013067476 0.0015543377 0.0012702114 0.0015586131 0.0012877021 0.0013090796 0.0013079136 0.0012643812 0.0012713774 0.0012601058 0.0012663247 0.0012896456 0.0012935323 0.0012651585 0.0012795398 0.0012791511 0.0012783738 0.0012760416 0.0012702114 0.0012822605 0.0012729322 0.0012818719 0.0012912003 0.0012562189 0.0012877021 0.0013285137 0.0012721549 0.0012783738 0.0012966418 0.0012593283 0.0012694341 0.0012725436 0.0013483365 0.0012690454 0.0012803172 0.0013137438 0.0012873134 0.001293921 0.0013129665 0.0012877021 0.0013055814 0.0012729322 0.0013071361 0.0012752643 0.0013063588 0.0012363961 0.0012628265 0.0012760416 0.0012884794 0.0013242381 0.0012861474 0.0012698227 0.001336676 0.0013172419 0.0012651585 0.0012713774 0.0012845927 0.0013020834 0.001330457 0.0012352301 0.001309857 0.0012795398 0.0012849814 0.0013316232 0.001326959 0.0012838152 0.0012643812 0.0012943097 0.0013028607 0.0013009172 0.0012721549 0.0012744869 0.0013211287 0.001284204 0.001258551 0.001265936 0.001345227 0.0013261816 0.001284204 0.0012775963 0.0013152985 0.0012873134 0.0012550529 0.0013028607 0.0013222948 0.0013277363 0.0012628265 0.0012814832 0.0012943097 0.0013152985 0.0012783738 0.0012772077 0.0013164645 0.0013059701 0.0012678794 0.0013048041 0.0013059701 0.0013090796 0.0012919776 0.0013327892 0.0013230721 0.001259717 0.001225513 0.001277985 0.0013401741 0.0012772077 0.0012647699 0.0013234608 0.0013444496 0.0012624378 0.001295087 0.0012880908 0.0013149098 0.001248834 0.0012807058 0.0012834267 0.0013502799 0.0012865361 0.0012636038 0.0018610074 0.009956193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00038735813 3.8891378e-07 1.750112e-06 1.9445689e-07 1.9445689e-07 1.1667413e-06 1.3611982e-06 7.7782755e-07 7.7782755e-07 3.8891378e-07 1.9445689e-07 1.9445689e-07 1.9445689e-07 9.722844e-07 7.7782755e-07 1.5556551e-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 0.0009417547 8.16719e-06 2.1779171e-05 1.2056327e-05 4.6669655e-05 2.2556998e-05 3.5002242e-05 2.1973628e-05 2.4501569e-05 7.778275e-06 8.361646e-06 1.0889586e-05 8.361646e-06 7.3893616e-06 1.2445241e-05 5.0558792e-06 0.00030510285 3.8891376e-06 1.0889586e-05 5.250336e-06 9.528388e-06 8.16719e-06 3.3057672e-06 4.666965e-06 5.6392496e-06 4.666965e-06 6.0281636e-06 5.833707e-06 5.250336e-06 5.250336e-06 1.0306215e-05 4.4725084e-06 0.23361467 0.0061570886 0.0062860134 0.006251011 0.0061860625 0.0061341426 0.0069426945 0.0064371065 0.00616545 0.0060839728 0.006131031 0.0060518873 0.006123642 0.0061386153 0.0061399764 0.006118003 0.3668223 0.010711658 0.0110301785 0.011439315 0.010727215 0.010707769 0.012505134 0.011565518 0.010752688 0.010607429 0.010758522 0.010759494 0.010745882 0.010719242 0.0106815165 0.010728575 0.0667168 0.0024917705 0.002537468 0.0024810755 0.0025182166 0.0024911873 0.0027155904 0.0025662475 0.0024871037 0.0024573517 0.0024585184 0.002465519 0.0024441287 0.0025298842 0.0024968265 0.0024832145 0.00058025937 4.4919543e-05 2.0417974e-05 1.8862318e-05 8.069961e-05 4.919759e-05 0.00016995532 7.642156e-05 4.0447034e-05 1.3223069e-05 1.6528835e-05 1.2056327e-05 1.4778723e-05 1.691775e-05 2.0806887e-05 1.9251233e-05 0.00041886015 2.8001792e-05 2.9168534e-05 2.3918197e-05 2.9557446e-05 2.3918197e-05 2.9751904e-05 2.9362991e-05 2.314037e-05 2.5473853e-05 2.5473853e-05 2.1584714e-05 2.314037e-05 1.9056775e-05 2.4112655e-05 2.1973628e-05 0.00068954413 6.1059465e-05 8.3422005e-05 6.5531975e-05 0.00023062587 6.280957e-05 0.00011492402 0.000115896306 0.0002809902 5.7753696e-05 5.9114893e-05 5.930935e-05 6.669871e-05 7.467144e-05 8.770006e-05 0.00027943455 0.00030238047 2.9751904e-05 0.00013417525 5.0558792e-05 0.00052931166 3.38355e-05 4.919759e-05 0.000116674135 0.00057287 5.444793e-05 6.49486e-05 8.419983e-05 8.88668e-05 7.117122e-05 0.00013009166 0.00047525263 0.00012231339 1.866786e-05 2.0417974e-05 1.6139922e-05 1.7112206e-05 1.6139922e-05 1.7890034e-05 1.8862318e-05 2.061243e-05 1.5167638e-05 1.9251233e-05 2.002906e-05 1.7695576e-05 2.0417974e-05 2.002906e-05 1.7501121e-05 0.0011756864 0.0010883752 0.0011080153 0.0011031539 0.0011097655 0.0011264888 0.0011247386 0.0011052929 0.0011542961 0.0010920699 0.0011204606 0.0011212385 0.0011492402 0.0011264888 0.0010730131 0.0011428231 861.0 19.890825 17126.0 0.057806842 0.0011094243 0.0022188486 0.00075907976 0.00064229826 0.0010510335 0.00070068904 0.0023940208 0.00075907976 0.0011094243 0.0010510335 0.00064229826 0.0013429873 0.0032114913 0.002160458 0.032348476 0.0012845965 0.0029779284 0.0020436763 0.0015765503 0.0018101133 0.0015181595 0.0011094243 0.0014597687 0.0014597687 0.0013429873 0.0017517225 0.00052551675 0.062478103 0.002102067 0.062770054 0.0011678151 0.00075907976 0.003503445 0.0009926427 0.001868504 0.006306201 0.001868504 0.001634941 0.0036202266 0.0010510335 0.0030947097 0.0011678151 0.0016933318 0.0019268948 0.0016933318 0.0027443653 0.0014597687 0.0042625247 0.00075907976 0.0014597687 0.0023940208 0.0022772392 0.0015765503 0.0009926427 0.0029195375 0.002569193 0.0012845965 0.0012262057 0.00052551675 0.00058390753 0.000934252 0.00058390753 0.0011678151 0.0011094243 0.05465374 0.019560901 0.021195842 0.046946164 0.057923626 0.008933784 0.0148312505 0.02166297 0.055529606 0.0058974656 0.008466659 0.05144225 0.018976994 0.035851922 0.03264043 0.016057456 0.0026859746 0.047004554 0.033341117 0.06551442 0.018801821 0.008700222 0.007999533 0.005371949 0.012670793 0.0043793065 0.0010510335 0.00070068904 0.00064229826 0.00070068904 0.0011678151 5.163967 0.0 10.0 0.0 9.0 2572800.0 69672960.0 0.0 0.0 78.0 0.0 1.0 0.0 0.0 0.0 1455279200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 10.0 5.0 0.0 1810944.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 730112.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1810944.0 -2048.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8689604 0.0 -0.64197755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4702666 -5.2790103 4.834566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 730024.0 0.0 -67082510.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1810486.0 -1804.0 31004.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 68903250.0 22812.0 69640190.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 68902910.0 0.0 0.0 0.0 0.0


Input: 0.378462 0.010249904 0.006603804 0.0036100794 0.011086386 0.0028696528 0.002109215 0.0021412333 0.007564357 0.0014648438 0.011454598 0.0031177958 0.0044625704 0.0019171042 0.0018490651 0.0021692496 0.004718718 0.0017329982 0.0027695952 0.0014088114 0.0030657658 0.001480853 0.0015969198 0.0012407147 0.0093133645 0.0015408875 0.0016169314 0.0027976115 0.0031818328 0.0016409452 0.002505443 0.0014488345 0.0035060195 0.0012607261 0.0013287654 0.0031298029 0.0024814294 0.0020011526 0.007912558 0.0017610143 0.0028696528 0.0013807954 0.0031298029 0.0019691342 0.0023613602 0.0014888576 0.001624936 0.0022332864 0.0023133324 0.0020771965 0.001664959 0.0017329982 0.0028216252 0.001716989 0.0018250513 0.0012046939 0.0022252817 0.0013968046 0.0017370005 0.0013647861 0.0095454985 0.0018210489 0.0016409452 0.0015368853 0.009453445 0.0024293994 0.0020531826 0.0019171042 0.0026695377 0.0013847976 0.0019291112 0.0014168161 0.002477427 0.0014608414 0.0014168161 0.0017450051 0.0021652472 0.0018690766 0.001624936 0.0014128138 0.0025094454 0.0012327101 0.0026295146 0.0016209336 0.0030497566 0.0012727331 0.001428823 0.0013567815 0.003029745 0.0014368276 0.0018210489 0.0011726755 0.0023573579 0.0013567815 0.0021012104 0.0012207031 0.0030457543 0.0026815445 0.0015448899 0.0020091573 0.0029657083 0.0034659964 0.0019931481 0.0014728484 0.0033779456 0.0030377498 0.0012527215 0.0018970927 0.010618116 0.0017530097 0.00256948 0.0025614754 0.0038342085 0.0026014985 0.0031658234 0.0021732517 0.0051669762 0.0018530673 0.0015769083 0.0015048668 0.0033619364 0.0016169314 0.0016009221 0.0009805649 0.0015448899 0.0012687307 0.0011686732 0.0014128138 0.0030857774 0.0017209913 0.0012046939 0.001192687 0.0015809106 0.0021412333 0.0011886847 0.0012407147 0.0016369428 0.0015328829 0.0013567815 0.0013928022 0.0014488345 0.0015288807 0.0017249936 0.0014928599 0.0015288807 0.0011766778 0.0014168161 0.001324763 0.0031778305 0.0012407147 0.0010966316 0.0011766778 0.0015408875 0.0013207608 0.0011126408 0.0011086386 0.0014168161 0.001100634 0.0016489498 0.0011486616 0.0018370581 0.0015288807 0.0011126408 0.0011966893 0.0015849129 0.0011046362 0.001140657 0.0012367123 0.0014368276 0.0011886847 0.0014168161 0.001100634 0.0014968622 0.0012046939 0.0013287654 0.001324763 0.0015008645 0.0011686732 0.0012167008 0.0012567239 0.0017209913 0.0012647285 0.00128474 0.0011446594 0.0019251088 0.0013447746 0.0018570697 0.0011606686 0.0016089267 0.0010966316 0.0011166432 0.0011766778 0.0021132173 0.0014848553 0.001376793 0.0016729636 0.0016329406 0.0015008645 0.0016009221 0.0019611297 0.0017009798 0.001428823 0.0013087539 0.0013007493 0.0015248783 0.0013968046 0.0012287077 0.0011806801 0.0021132173 0.0011326524 0.00133677 0.0012927447 0.0016689614 0.0011806801 0.0011966893 0.0013287654 0.0014768507 0.0013007493 0.0011846824 0.0012767354 0.0016049244 0.0013407723 0.0014688461 0.0011286502 0.002385374 0.0013567815 0.0016049244 0.0012126985 0.0017730213 0.001192687 0.0011566662 0.0016169314 0.001624936 0.0017650167 0.001428823 0.0014368276 0.0016329406 0.0013807954 0.0013127561 0.0016689614 0.0018930904 0.0014568391 0.0015889152 0.0014688461 0.003421971 0.04765545 0.0018090421 0.0018650743 0.0027295721 0.0014688461 0.0015368853 0.0027055584 0.003762167 0.003329918 0.008568936 0.03429175 0.028806584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037676021 3.2150205e-05 4.4206532e-05 6.0281636e-06 3.817837e-05 2.4112655e-05 7.434735e-05 3.4159595e-05 3.817837e-05 4.0187756e-06 6.0281636e-06 1.4065715e-05 1.004694e-05 6.0281636e-06 1.004694e-05 6.0281636e-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 0.012325585 0.00028734247 0.00023710777 0.00030140817 0.00047019677 0.00025117348 0.00050636573 0.00027126737 0.0001486947 6.831919e-05 2.4112655e-05 2.6122043e-05 4.4206532e-05 8.037551e-06 2.2103266e-05 0.0014688625 0.08294954 0.0038198463 0.003138664 0.0031245982 0.00095646863 0.0012478299 0.0015452192 0.000932356 0.00039183063 0.0007213702 0.0002632298 0.00024112655 0.00027528615 0.000430009 0.00038781186 0.018916378 0.109519675 0.005574042 0.0053650658 0.004639677 0.0030221194 0.002813143 0.004533179 0.0026262698 0.0013704025 0.0011533886 0.00033757716 0.00037173677 0.0006651074 0.00045814042 0.0007635674 0.025511188 0.06950071 0.004340278 0.0051159016 0.0038057806 0.002606176 0.0023911716 0.0039705504 0.0022685989 0.0008640368 0.0008459523 0.00035767103 0.0003958494 0.000564638 0.0004440747 0.000932356 0.02093782 0.04215093 0.003351659 0.0028473027 0.002357012 0.0032351145 0.0017984022 0.0047200522 0.0031105324 0.00081380206 0.0005626286 0.00043603717 0.00049029064 0.0007334266 0.00034159594 0.00068520126 0.010555315 0.04083076 0.0033737621 0.0035184382 0.0024795847 0.0034340438 0.0018345711 0.0069605196 0.0037012924 0.0014849376 0.0007233796 0.0009986658 0.0009926376 0.0012659143 0.0010247878 0.0013683932 0.012428064 0.024080504 0.0027106642 0.0019129373 0.0018827964 0.0036128794 0.0014869471 0.004683883 0.002947772 0.0009464217 0.0006932388 0.0008760931 0.0011011446 0.0012598862 0.0013141397 0.001756205 0.0063476562 0.0091206115 0.00081380206 0.0007233796 0.0010649755 0.0021842045 0.0006450135 0.0009283372 0.000735436 0.0012498392 0.000636976 0.0006972576 0.000922309 0.00088614004 0.0005987976 0.0006068351 0.0028774433 0.007257909 0.0012317548 0.00088413066 0.00071735145 0.001720036 0.000663098 0.0012799801 0.0010288066 0.0008198302 0.00082786777 0.00075753924 0.0010288066 0.0013422711 0.0009745531 0.0013241866 0.002833237 0.0039645224 0.00054454413 0.000626929 0.00061688205 0.00061688205 0.0005485629 0.00094039354 0.00081581145 0.0013784401 0.0004983282 0.0005103845 0.00075753924 0.0012558674 0.00085198047 0.0009986658 0.0015351723 0.016892923 0.016000755 0.016012812 0.015651122 0.015502428 0.015862107 0.01608716 0.016334314 0.015876174 0.015773695 0.015910333 0.015476305 0.016057018 0.015534578 0.015677243 0.016495066 598.0 9.5 5681.0 0.022883296 0.0047526844 0.0033444816 0.0033444816 0.002992431 0.0052807606 0.0044006337 0.004048583 0.0033444816 0.004048583 0.00492871 0.002464355 0.0031684563 0.004048583 0.008977293 0.0044006337 0.004224608 0.003520507 0.005632811 0.0058088363 0.002992431 0.0044006337 0.008449216 0.0026403803 0.0028164056 0.004224608 0.004048583 0.0028164056 0.0022883294 0.005632811 0.004224608 0.004224608 0.004224608 0.01848266 0.008449216 0.0124977995 0.020066889 0.0072170394 0.0073930644 0.009681394 0.0068649887 0.014962154 0.004224608 0.0068649887 0.008273192 0.007745115 0.0100334445 0.006688963 0.01549023 0.004224608 0.009329343 0.015666256 0.0088012675 0.005984862 0.0100334445 0.007041014 0.009329343 0.00492871 0.0031684563 0.003520507 0.007041014 0.002992431 0.002112304 0.007041014 0.0036965322 0.041718006 0.013025876 0.022003168 0.01848266 0.058088366 0.011089597 0.013201901 0.013377926 0.03714135 0.0036965322 0.0072170394 0.038373526 0.015314206 0.033092767 0.033796865 0.015314206 0.005632811 0.038725577 0.026931878 0.04682274 0.015666256 0.006160887 0.008273192 0.009505369 0.014434079 0.006512938 0.0038725575 0.003520507 0.0036965322 0.0038725575 0.002992431 6.0325804 4.0 0.0 0.0 1.0 249856.0 258048.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1337839700.0 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 7.0 8.0 6.0 0.0 4.0 0.0 4.0 0.0 159744.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1576667 0.0 7.5224524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156364.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 160036.0 16196.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 224.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1614302 0.012629121 0.012933984 0.012213954 0.012022457 0.009372644 0.008750151 0.011117058 0.015843721 0.00555955 0.007802877 0.0041067237 0.0107167 0.0020063813 0.0036032135 0.00494778 0.0053164763 0.0017004962 0.002056426 0.001565682 0.0032217507 0.0033090736 0.001523808 0.0011071098 0.0024501444 0.001157665 0.0010315322 0.0011724742 0.0021411953 0.0014737634 0.0015472983 0.0010693211 0.005476823 0.0010014033 0.0013394599 0.0010836194 0.003851394 0.0016969215 0.0013460985 0.0008778237 0.0017275611 0.000926847 0.0009472734 0.0016106201 0.0014426131 0.0009115272 0.0016882403 0.0012378386 0.010616611 0.0016943682 0.0020319142 0.004762921 0.0018393955 0.0017316464 0.0014410812 0.0013930792 0.0021779628 0.0025895543 0.0017822017 0.0037860295 0.0021585578 0.0018817803 0.001427804 0.0015917256 0.004900289 0.0027514335 0.0025323604 0.0033616715 0.003591979 0.007883562 0.003188558 0.0019200797 0.0024675068 0.0018582899 0.001022851 0.0009799555 0.0023464805 0.0044509084 0.003257497 0.0024302285 0.00783556 0.004034721 0.0031579183 0.004921736 0.003231964 0.0051673637 0.0053910324 0.0045555932 0.0031303428 0.0034627821 0.0021723455 0.002799946 0.0028407988 0.0038120733 0.0038861188 0.003671642 0.0030154444 0.005270006 0.002953144 0.0038059454 0.004112852 0.008522907 0.004650576 0.0030021672 0.0053185187 0.00527307 0.0053323065 0.0025783197 0.0047368775 0.0032503477 0.004985058 0.005106595 0.00405719 0.0022428166 0.0058690095 0.0047414736 0.011635887 0.009395113 0.0034449091 0.0027948394 0.0032314532 0.0028106698 0.0024455483 0.0021365993 0.0030900007 0.003842202 0.0030042098 0.0023980571 0.0043891184 0.003054765 0.002576788 0.008135317 0.00356951 0.007400478 0.0026615574 0.0022591576 0.003063957 0.008763938 0.0026304072 0.020537194 0.002514998 0.007034335 0.0023301393 0.00204417 0.0050202934 0.0022402632 0.0021202583 0.0021473232 0.0022831587 0.0022724348 0.0024455483 0.002096768 0.0024159302 0.002281116 0.0020584685 0.0020497872 0.0023526084 0.0022591576 0.0019941253 0.001826629 0.0015161481 0.0015467877 0.0011193657 0.0012449878 0.0012904366 0.0012128163 0.0010938327 0.0012051564 0.0015079775 0.0009615719 0.001043788 0.0011867727 0.0014732527 0.000979445 0.0009365495 0.0012889046 0.0015197227 0.0009973181 0.0011214083 0.0009738277 0.0013471198 0.0015406597 0.0016264506 0.0015008283 0.0020579577 0.0010279575 0.0010300003 0.0010810662 0.0013394599 0.0011852407 0.001279202 0.0012659249 0.0063204328 0.002402653 0.0028668426 0.0026983249 0.0021345566 0.0011030246 0.0020334462 0.0030905113 0.0020252755 0.0021983893 0.0011520479 0.0011525585 0.002140174 0.0011111951 0.0013767381 0.0012235402 0.0018291824 0.0013190336 0.0015008283 0.0012761381 0.001445677 0.00096412515 0.0012986071 0.0012393707 0.0018383742 0.0013312893 0.00096769974 0.0014594649 0.0015324892 0.0011500053 0.0010177444 0.0010417454 0.0022116664 0.001090258 0.0010223404 0.0010300003 0.0019558258 0.0010580865 0.0009309323 0.0010591078 0.009215361 0.0021258756 0.0009462521 0.0047414736 0.003918801 0.0009768916 0.001042256 0.0011607291 0.002825479 0.0013864406 0.0011183444 0.0011244722 0.0021258756 0.0008665892 0.0019374421 0.0016984536 0.003238092 0.002356183 0.0012490732 0.0014834659 0.0042185583 0.001759222 0.0031277896 0.06838241 0.013586279 1.1242478e-05 0.0 0.0 1.0220434e-06 7.665326e-07 4.0881737e-06 1.788576e-06 0.0 0.0 0.0 0.0 2.5551086e-07 0.0 0.0 0.0 0.002486376 5.6978923e-05 2.0440868e-06 5.110217e-07 2.0440868e-06 0.0 3.321641e-06 2.2995978e-06 1.2775542e-06 0.0 2.5551086e-07 7.665326e-07 7.665326e-07 1.788576e-06 5.110217e-07 5.7489942e-05 0.004784952 0.00010220434 0.00010961416 2.069638e-05 4.139276e-05 1.8396782e-05 1.0731456e-05 7.920837e-06 3.9859693e-05 1.5330652e-05 1.4053097e-05 1.0986967e-05 1.7374738e-05 1.1497988e-05 1.4308608e-05 1.3542075e-05 0.0044310694 0.00034008495 0.00017604697 2.8361705e-05 0.00042235944 0.00015024039 1.8396782e-05 1.6608206e-05 2.0951891e-05 2.0951891e-05 2.0951891e-05 1.48196295e-05 1.6608206e-05 2.1718422e-05 3.6793565e-05 2.0185358e-05 0.004922672 0.00013823138 0.00017987964 0.00014461915 0.00014896283 0.00027646276 0.0001435971 0.00020849686 3.4238456e-05 5.8767496e-06 3.577152e-06 5.110217e-06 1.3542075e-05 5.8767496e-06 9.453902e-06 3.883765e-05 0.011930313 0.00050412293 0.00026700884 0.00017809107 0.0004732061 0.00015228447 0.00020313113 0.00019572132 0.00018575639 0.00010016026 0.00010067128 9.530555e-05 0.00012801094 9.6838616e-05 0.00040575126 0.00015892775 0.012975353 0.00029537056 0.00018728946 0.00025346677 0.0007016328 0.001083877 0.002341246 0.00030226936 0.00015943877 5.110217e-05 5.1613195e-05 6.975447e-05 0.00017987964 4.9569106e-05 0.0001435971 0.003132563 0.037989356 0.0010974192 0.0010074793 0.0006847691 0.0019648785 0.0010644583 0.0029603487 0.0030431342 0.0011337016 0.00025602189 0.000636222 0.00088585616 0.0010069683 0.000952289 0.0018056952 0.01363176 0.056558862 0.0022883553 0.0017763114 0.0014170632 0.0035768966 0.0015621934 0.0073610125 0.004885112 0.0021912612 0.0039473874 0.0032833146 0.002729878 0.0025405444 0.001907133 0.0017249538 0.01946584 0.019832753 0.0013153699 0.0020642723 0.0012678449 0.002402313 0.00150547 0.008049614 0.004547327 0.00060300564 0.00094513467 0.0006380106 0.000377134 0.00061067095 0.0005245638 0.0008526397 0.0015596383 0.015016628 0.0005202201 0.0017803997 0.0013935562 0.0028241614 0.0015026594 0.005727787 0.003602703 0.0006607511 0.0010263871 0.00050258986 0.00032603185 0.00059585134 0.00029741463 0.0005340177 0.00136545 0.011397317 0.0011245033 0.0018174488 0.00889561 0.0022760907 0.0021281498 0.0041290554 0.0023798281 0.0011635964 0.0015581052 0.0011743279 0.001011312 0.0010774893 0.0010056908 0.0009791176 0.0013151144 0.010908781 0.0012261966 0.0013549741 0.002060184 0.0021728643 0.002697939 0.003541636 0.0025855144 0.003958885 0.0012075444 0.0013933007 0.0011181155 0.0017282754 0.0011955353 0.001764047 0.003995679 0.04194977 0.008470185 0.0055565946 0.008736938 0.0133026615 0.016690992 0.010256972 0.013090077 0.029616263 0.007230702 0.003482102 0.005067036 0.010108776 0.0051707732 0.010227844 0.02401981 0.045679722 0.01408197 0.010597824 0.01751527 0.018382473 0.034958996 0.026728991 0.03197514 0.0429386 0.021283032 0.0081380205 0.009024388 0.016824624 0.009803697 0.015843717 0.029965036 0.0005225197 0.00026751988 0.0002708415 0.00030456894 0.00025499985 0.00029537056 0.00042798067 0.00031351182 0.00027876234 0.00022152791 0.00016812615 0.00015458406 0.00018780048 0.00016659308 0.00015024039 0.00020134255 13475.0 13.600371 183265.0 0.021286115 0.0034431014 0.0034431014 0.0029465528 0.0045180474 0.005527515 0.0026409843 0.0026682673 0.0037050173 0.003061141 0.0026900936 0.0027719422 0.004763594 0.0032848606 0.0074373176 0.0034976674 0.013314053 0.0064333067 0.00728999 0.006367828 0.00583854 0.0049491175 0.005592994 0.004698115 0.006225957 0.005445666 0.0053365347 0.005096445 0.0053747306 0.005134641 0.0050364225 0.006744332 0.006340545 0.012359152 0.0037432134 0.010853136 0.016571632 0.008217609 0.0075682756 0.009472622 0.0062205005 0.010372957 0.002553679 0.0034212752 0.00583854 0.0059585846 0.010896789 0.009112488 0.014869179 0.0077319727 0.010007367 0.016282432 0.010880419 0.007715603 0.011906256 0.013603252 0.010263826 0.007159032 0.0065588085 0.0062041306 0.008168499 0.006640657 0.006526069 0.012195455 0.006809811 0.028810738 0.010782201 0.019774644 0.017935775 0.05649742 0.013204922 0.0130248545 0.014328977 0.030349493 0.0073882085 0.008228522 0.021875426 0.014749134 0.028008621 0.03009849 0.01582408 0.0066733966 0.033808965 0.022710282 0.042435817 0.015851364 0.009461708 0.009407143 0.0116388835 0.010995007 0.006056803 0.0050255093 0.0071644885 0.00563119 0.0075191665 0.005151011 6.2047105 1.0 44.0 16.0 22.0 1958252.0 339968.0 1.0 0.0 105.0 0.0 1.0 1.0 0.0 0.0 1161596900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1857524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.768358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.391288 0.0 5.106776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10766.0 0.0 298600.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29444.0 298600.0 40960.0 0.0 0.0 5744.0 339968.0 0.0 0.0 28.0 16864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27656.0 0.0 0.0 444.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.22324735 0.013517908 0.010263776 0.0051997197 0.00878332 0.0059663267 0.017287776 0.006277133 0.009222253 0.00432006 0.00478914 0.002102068 0.0022879771 0.004784833 0.0027502384 0.011648765 0.009532341 0.0056382935 0.0040591406 0.0035728335 0.0020435674 0.0031626124 0.001709433 0.0016645706 0.0049219322 0.003050995 0.0019452292 0.0017298902 0.0020392607 0.0024781933 0.0017987987 0.0040361714 0.010100477 0.0029752676 0.0021871268 0.0019376924 0.010394773 0.0016652885 0.0012453774 0.002486089 0.0072687687 0.0011696499 0.0014750723 0.0018145902 0.0012155888 0.000939596 0.00073897175 0.0005771086 0.004697621 0.0011093549 0.0011287354 0.0033420618 0.00085597264 0.0008391044 0.0007124133 0.0007888586 0.0028805183 0.013587893 0.0007971133 0.0028650858 0.0011326832 0.00067257555 0.0006420692 0.00072820485 0.0050532892 0.0065039564 0.001546852 0.00134551 0.017002452 0.0031618949 0.0016308343 0.0011028948 0.043189473 0.004295296 0.0010745417 0.00095036294 0.0049326993 0.0027452137 0.0020001407 0.0013028011 0.0049632057 0.0009805104 0.0011958494 0.002591964 0.0020787395 0.002829555 0.003507155 0.003048124 0.0023084343 0.0010085044 0.00087965996 0.0024200517 0.0012798316 0.002313459 0.004962488 0.0034834677 0.0054728417 0.0021698996 0.00096184766 0.001582024 0.0013648906 0.0028525244 0.0011570884 0.0007497387 0.0023820086 0.002531669 0.00081290485 0.00089796376 0.0020367482 0.0011115083 0.0028970276 0.004377125 0.004032582 0.00093923707 0.0016581105 0.0019929628 0.0040340177 0.002126114 0.0006689866 0.0006808302 0.0019714287 0.0015493643 0.0006628853 0.0017176877 0.0017338381 0.0019516894 0.0011136617 0.003797504 0.007144949 0.0023285327 0.0012880863 0.0066880714 0.0037318254 0.0031493334 0.00084484677 0.00049635646 0.0019348211 0.0053644544 0.00069985184 0.030160384 0.001480097 0.009483172 0.0008050091 0.0008161349 0.00525176 0.0013742219 0.0020356716 0.00091375527 0.0011743155 0.0010275261 0.00081757054 0.00071169547 0.0016764144 0.00093421247 0.00066109083 0.0005964891 0.0010085044 0.00065965526 0.00068441924 0.0004881018 0.003379746 0.0016351411 0.0020087543 0.0015005541 0.0014725601 0.0025169544 0.0013013656 0.0013311541 0.0028629324 0.001476508 0.0012615278 0.0018023876 0.0014808148 0.0015554656 0.0011660608 0.001154935 0.0026371854 0.00083766883 0.0008868379 0.00060617935 0.0011050481 0.0006352501 0.0009701023 0.0005728018 0.0025797617 0.0038624643 0.0023949288 0.0005336819 0.0007809629 0.00063632685 0.00055844587 0.000466209 0.0070301015 0.0012862918 0.00104906 0.004090006 0.003171585 0.00081505824 0.001352688 0.0012550676 0.0027574163 0.0015493643 0.0008118281 0.0014359524 0.022688478 0.00097046123 0.0024763988 0.001472919 0.0032717176 0.0009033472 0.001582383 0.0010153236 0.0006765234 0.0007059531 0.0011534994 0.0013709918 0.0024003123 0.0009130375 0.0008269019 0.0011832879 0.0007475853 0.0005290162 0.00057028956 0.00056813617 0.0034414765 0.0017428106 0.00087858323 0.0006872904 0.00085417816 0.00088827347 0.0010935634 0.0008505892 0.01497001 0.0019402046 0.0011750333 0.0015210113 0.0034927991 0.0013871422 0.0012163066 0.001278396 0.003736491 0.0026501056 0.0018235627 0.0075501455 0.0014599987 0.0011969261 0.0015134745 0.0011678553 0.0029411723 0.0015547478 0.0012708592 0.00070021074 0.0008843256 0.0010777719 0.0012834206 0.042256694 0.010563929 0.0 7.539637e-06 1.4361214e-06 1.1488971e-05 9.514304e-06 1.1848001e-05 1.077091e-05 1.7951517e-05 1.1848001e-05 8.975759e-06 3.5903034e-07 7.180607e-07 2.5132124e-06 2.154182e-06 7.180607e-07 0.0038349824 7.360122e-06 1.561782e-05 1.5079274e-05 1.2386547e-05 2.6927275e-06 1.7951517e-07 8.9757583e-07 9.35274e-05 7.180607e-07 2.5132124e-06 2.8722427e-06 3.5903033e-06 4.4878793e-06 3.5903033e-06 4.3622185e-05 0.0032537123 4.128849e-06 3.5005458e-05 1.597685e-05 1.8131032e-05 6.8215763e-06 6.1035157e-06 6.462546e-06 0.00024467916 4.308364e-06 4.8469096e-06 3.949334e-06 2.5132124e-06 4.4878793e-06 8.616728e-06 5.6726793e-05 0.000941198 9.155274e-06 6.283031e-06 9.155274e-06 8.616728e-06 1.077091e-06 5.385455e-07 7.180607e-07 8.688534e-05 7.1806066e-06 1.077091e-06 1.7951517e-06 1.077091e-06 1.077091e-06 4.4878793e-06 2.2618911e-05 0.0076627843 0.00018543916 0.00028130025 0.00017466825 0.00018184887 4.936667e-05 8.562874e-05 5.2956973e-05 0.00014109892 4.559685e-05 5.421358e-05 5.0982308e-05 3.5184974e-05 5.2059397e-05 3.3748853e-05 0.00010429831 0.02853609 0.0009699204 0.0009866153 0.0007668888 0.0009386848 0.00034772087 0.00031540814 0.0003245634 0.0004240148 0.0002154182 0.0002863267 0.0002498851 0.00021398207 0.0001716165 0.00018023323 0.00036674947 0.015596996 0.0005134134 0.00044699275 0.000597247 0.00059347716 0.00030373965 0.00021775189 0.000120813704 0.00035777374 0.00016641055 0.00029727712 0.00014038086 0.00015115176 0.00011542825 0.00014486874 0.00082451315 0.02944695 0.0013469023 0.0011036593 0.0013041777 0.0024884392 0.0013072294 0.0050957175 0.0030801212 0.0011848 0.0004581227 0.0005715763 0.00058773265 0.0003518497 0.00030732996 0.00040731992 0.0016933666 0.023012228 0.0020920697 0.0021365895 0.0014312745 0.0020353429 0.0014002183 0.0035434498 0.0026546703 0.0008595186 0.00037195542 0.00043352912 0.0003326416 0.0008203843 0.00032743567 0.00038218778 0.00044591568 0.034731697 0.0060615093 0.0036026898 0.0019612033 0.0016256893 0.0010880415 0.0019071691 0.0020707075 0.0018493652 0.0008297191 0.001207419 0.0016590791 0.00093581254 0.0009995404 0.0008514404 0.0014865651 0.041382376 0.00485427 0.0037728702 0.0060618683 0.005829037 0.0011483586 0.0021714154 0.0012671975 0.002224911 0.0010740393 0.0012018541 0.0016540528 0.0015176212 0.0012452967 0.0022642247 0.008360021 0.029285565 0.0055382224 0.0039145076 0.0051183365 0.0050800997 0.00232149 0.002774407 0.0021570541 0.0027724323 0.0028927075 0.012664077 0.0023394416 0.002250043 0.0018910128 0.0026582605 0.010827636 0.018541044 0.007343068 0.0032874611 0.0022473503 0.0040737377 0.0030580407 0.002397425 0.0017533246 0.0026701086 0.001851699 0.0015057732 0.0018382353 0.001948278 0.0012420655 0.0029458439 0.0046936036 0.048913933 0.01345915 0.013420912 0.008088236 0.042320162 0.013991412 0.007270005 0.008473116 0.037275784 0.004641006 0.0041196933 0.005858298 0.02464079 0.0066239303 0.015829287 0.025956636 0.03481212 0.010342407 0.0142596075 0.0083594825 0.03206877 0.014251889 0.0068739946 0.008134191 0.02565523 0.006614954 0.004833625 0.004832369 0.02081245 0.00497634 0.011221493 0.017686373 0.0018007166 0.0006722843 0.0009254007 0.00063889445 0.0005836038 0.00057570514 0.00069418515 0.00052939024 0.0005814496 0.0008333094 0.0006710277 0.00051574706 0.0005419563 0.000455789 0.00048953784 0.00052041444 10904.0 8.651871 94340.0 0.0095929615 0.0068369727 0.006222175 0.0037841848 0.021931313 0.0016535934 0.0011977952 0.00076319696 0.015295738 0.0042081834 0.0009963961 0.0007949968 0.0006995972 0.0007207971 0.001250795 0.0007207971 0.005246979 0.0013779945 0.0018655926 0.0023001907 0.00074199704 0.0007737969 0.0007949968 0.00043459827 0.0068793725 0.016737333 0.0009751961 0.003243587 0.0015475939 0.000752597 0.0007207971 0.0005723977 0.0036145856 0.07122111 0.003752385 0.007992368 0.038605046 0.004462582 0.0020457918 0.0033813864 0.046374813 0.008087767 0.00087979645 0.0009539962 0.0076213693 0.007165571 0.00250159 0.0028619885 0.007017172 0.00048759804 0.004568582 0.034015264 0.008045368 0.03008268 0.03758745 0.03234047 0.0049395803 0.0016111935 0.00080559676 0.029139284 0.0070807715 0.034057666 0.043767225 0.048622005 0.0036675853 0.027019292 0.0060737757 0.0062327753 0.014002544 0.041626032 0.0055967774 0.006052576 0.0066567734 0.0248569 0.001229595 0.0018973924 0.019143524 0.0055437777 0.020108119 0.01718253 0.018825525 0.0005511978 0.018401526 0.021019716 0.028418487 0.010790757 0.003254187 0.0013779945 0.005501378 0.010303159 0.0013885944 0.00040279838 0.00074199704 0.00040279838 0.0004769981 0.0139283445 5.6040745 0.0 0.0 0.0 3.0 2786304.0 2793472.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1438661800.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 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 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -478720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.545036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.613813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9232461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5740957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -478632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2187104.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1140.0 540672.0 109740.0 544176.0 0.0 0.0 61484.0 2727936.0 28.0 2727464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 541824.0


Input: 0.1726908 0.005281774 0.004704173 0.004198028 0.004364758 0.004787538 0.0029951886 0.003292921 0.004989996 0.0022032203 0.002768912 0.0022449028 0.0033881955 0.0048470846 0.0028046397 0.0047160825 0.006246427 0.006061833 0.002733184 0.0034715605 0.004043207 0.006949076 0.0023997237 0.0018280774 0.0034239234 0.0024056784 0.0023699505 0.002256812 0.0038824314 0.0027629572 0.0024414062 0.0030190072 0.0028939596 0.0018161681 0.0021615378 0.0025724086 0.0039717513 0.0027570026 0.0020662632 0.0022449028 0.0035489711 0.0028463225 0.0025485898 0.0022806306 0.002447361 0.0024711795 0.002191311 0.0016732565 0.0022806306 0.002649819 0.002209175 0.0024890434 0.0029118236 0.004912586 0.0020960367 0.0018638052 0.0029415968 0.002447361 0.0020722179 0.0024354516 0.0025069073 0.0036144722 0.0022151296 0.003429878 0.012683403 0.0062702456 0.0060022864 0.002274676 0.0022210842 0.006127334 0.0029237329 0.0027570026 0.0029951886 0.0027093654 0.002822504 0.0025783633 0.0031202363 0.0047160825 0.0021615378 0.002733184 0.0082293255 0.0058355564 0.0045791254 0.0035430165 0.0031738281 0.0037157012 0.0051924544 0.0026081365 0.0027450933 0.0023580412 0.0030190072 0.0025247713 0.0030428257 0.0027748665 0.0018459413 0.0032631478 0.002566454 0.0036204269 0.0032393292 0.0033524677 0.0034953791 0.003513243 0.003465606 0.0022270388 0.0061392435 0.0036978372 0.004567216 0.0023401773 0.0039479327 0.0028582318 0.0026200458 0.0025902726 0.0060916063 0.0030011432 0.0038109757 0.0034179688 0.0037037919 0.004198028 0.0030725992 0.0020603086 0.0026736376 0.0020722179 0.0023639959 0.0017804402 0.0017089844 0.0033226945 0.0019173971 0.0031023724 0.0038764768 0.0026200458 0.0017863949 0.0041623 0.0021615378 0.0069252574 0.0018876238 0.0016673019 0.002209175 0.0057998286 0.0040848893 0.007544541 0.003191692 0.007860137 0.0027212747 0.0028939596 0.0038943407 0.003090463 0.0028999143 0.0026379097 0.002393769 0.0035191977 0.0025604991 0.0022032203 0.0022449028 0.0023223134 0.003191692 0.0019233518 0.0025485898 0.003412014 0.0024056784 0.0028641864 0.0034001048 0.0026736376 0.0029177782 0.0023520866 0.002953506 0.0033107852 0.0023639959 0.0026140912 0.0044123954 0.0030249618 0.002328268 0.0025545445 0.0030190072 0.0033346037 0.0027570026 0.0023401773 0.0024235423 0.0022270388 0.0022032203 0.0019590796 0.0029118236 0.0026915015 0.0021555831 0.0025069073 0.003036871 0.002768912 0.0019590796 0.002107946 0.0020067168 0.00212581 0.0017506669 0.0022627667 0.0039479327 0.0022865853 0.0021139006 0.002274676 0.0027034108 0.00212581 0.002494998 0.004293302 0.0032810117 0.0022270388 0.002054354 0.0020603086 0.0027808212 0.002494998 0.0019590796 0.002429497 0.0031738281 0.0024056784 0.0030785538 0.0032452838 0.0040551163 0.0022508574 0.0026855469 0.0028046397 0.0043230755 0.004948314 0.00271532 0.0034001048 0.004686309 0.0036263815 0.0023818598 0.0037037919 0.00425162 0.0020424447 0.003292921 0.0027748665 0.002888005 0.0021615378 0.0022270388 0.0023104039 0.0037097465 0.0029237329 0.0023878145 0.0034536966 0.003144055 0.0021139006 0.0023401773 0.0018697599 0.0021615378 0.0021555831 0.0024056784 0.0020662632 0.0031202363 0.0029475514 0.0022389481 0.002411633 0.0027450933 0.0023520866 0.0025426352 0.0026081365 0.003275057 0.0034001048 0.007234899 0.032244425 0.049079753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054609613 1.1982362e-05 0.0 2.3964723e-05 0.0 0.0 0.0 1.1982362e-05 0.0 0.0 0.0 0.0 2.3964723e-05 0.0 0.0 0.00060211367 0.005574794 8.088094e-05 5.392063e-05 2.3964723e-05 5.392063e-05 3.8942675e-05 9.28633e-05 5.691622e-05 4.1938267e-05 3.2951495e-05 3.2951495e-05 1.1982362e-05 1.4977953e-05 5.991181e-06 2.9955904e-06 1.4977953e-05 0.009687739 7.4889766e-05 7.1894174e-05 0.00014079275 0.00010484567 5.691622e-05 0.000314537 0.00017374425 0.00014678393 2.0969133e-05 2.9955904e-06 2.3964723e-05 8.088094e-05 2.9955904e-06 5.092504e-05 0.0013150643 0.0046192007 0.00021268692 1.4977953e-05 2.9955905e-05 0.0005931269 2.6960315e-05 8.986772e-05 3.2951495e-05 1.7973543e-05 6.590299e-05 0.0002576208 8.986772e-06 8.986772e-06 8.986772e-06 2.9955905e-05 0.00011682803 0.017820768 0.0005691622 9.28633e-05 0.00014977953 0.001755416 0.00054519746 0.0011233464 0.00060510926 0.00010185008 0.00055118866 0.00032352377 0.00010784126 8.387653e-05 1.4977953e-05 0.00017673984 0.0005182372 0.012782184 0.00046431652 0.00019770897 0.0001887222 0.0011353288 0.00015277512 0.00064105634 0.00032052817 0.0002845811 0.00023365606 0.00041638708 7.788535e-05 0.00010784126 8.986772e-05 0.00016475748 0.0011473112 0.00418484 0.00010784126 5.392063e-05 0.0001857266 0.0002815855 8.387653e-05 0.00029955906 8.986772e-05 7.788535e-05 0.00014977953 6.889858e-05 5.991181e-05 0.00016176188 8.387653e-05 0.00010784126 0.00013779716 0.0037474837 0.0001587663 0.0001288104 9.28633e-05 0.0004103959 0.0001258148 0.0003504841 0.00022167369 0.00010484567 0.0001288104 0.00015277512 0.00010185008 7.1894174e-05 7.788535e-05 6.889858e-05 0.00019171779 0.0053291554 0.0004103959 0.00038044 0.00026660756 0.00055418425 0.00061110046 0.002450393 0.0012132141 3.2951495e-05 0.00014977953 0.00014378835 0.00014977953 8.088094e-05 0.00015277512 5.092504e-05 0.00029356786 0.009591881 0.0006380608 0.0005841401 0.0005302195 0.0014169143 0.0018692485 0.0047749714 0.0024144459 0.00036845764 0.00039242234 0.0003774444 0.0001857266 0.00017973543 0.00044334738 0.00018273102 0.0005901313 0.002779908 0.0002845811 0.0001288104 8.387653e-05 0.0005002636 0.00019471339 0.00044334738 0.0003115414 0.00023665164 8.986772e-05 0.00010185008 0.00016475748 0.0001288104 0.00014977953 0.00017074865 0.00036546204 0.03448524 0.010700249 0.0026301285 0.0038822852 0.0118535515 0.008845978 0.0053800805 0.005568803 0.015238569 0.0034419335 0.0032142687 0.0019411426 0.0038972632 0.009522982 0.005245279 0.021391511 0.025633268 0.008792058 0.0022736532 0.002962639 0.011173553 0.008636287 0.004181844 0.0044993768 0.011775666 0.003028542 0.0033700394 0.0017853719 0.0033370878 0.007605804 0.004697086 0.01281214 0.03533898 0.034053873 0.034074843 0.034754843 0.035608586 0.037582677 0.034338456 0.033017397 0.033298984 0.036063913 0.038145848 0.032693874 0.033589557 0.035647526 0.033209115 0.036863737 748.0 7.9906416 5977.0 0.014053873 0.0038480842 0.0028442363 0.0053538564 0.0048519326 0.0028442363 0.0043500084 0.0038480842 0.0046846243 0.007194245 0.0055211643 0.0053538564 0.0043500084 0.0051865485 0.0063577048 0.0035134682 0.004015392 0.0066923206 0.008030784 0.0068596285 0.009201941 0.0043500084 0.0058557806 0.0045173164 0.0050192405 0.0053538564 0.0050192405 0.0046846243 0.0055211643 0.007863477 0.004015392 0.0053538564 0.0051865485 0.0055211643 0.008030784 0.010373097 0.007194245 0.0135519495 0.0127154095 0.009536557 0.0073615527 0.011878869 0.0045173164 0.008030784 0.010540405 0.010875021 0.009201941 0.010038481 0.010373097 0.0066923206 0.010038481 0.018738497 0.011878869 0.0051865485 0.016061569 0.0050192405 0.0033461603 0.008365401 0.0068596285 0.0060230885 0.007194245 0.0043500084 0.0033461603 0.04048854 0.004015392 0.04550778 0.03028275 0.017567342 0.016396185 0.039150074 0.010875021 0.010373097 0.008030784 0.025932742 0.009536557 0.007194245 0.034632757 0.020913502 0.016396185 0.020076962 0.009703865 0.0063577048 0.035636608 0.023925046 0.031453907 0.015392337 0.026434666 0.008365401 0.007863477 0.0068596285 0.0045173164 0.0036807763 0.002007696 0.0058557806 0.0046846243 0.0053538564 6.1779585 1.0 0.0 0.0 2.0 167936.0 172032.0 0.0 0.0 70.0 0.0 1.0 0.0 0.0 0.0 991626500.0 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 6.0 0.0 4.0 0.0 4.0 0.0 155648.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155648.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5268292 0.0 3.082649 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152368.0 0.0 2308.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 154964.0 2308.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 332.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1423925 0.008627664 0.004184579 0.0034227294 0.006238962 0.0039472 0.0020282841 0.001959929 0.007880729 0.0015100277 0.0017014222 0.0015050564 0.004572339 0.0013720746 0.001230393 0.0038887875 0.006161907 0.0015050564 0.0011868943 0.00089607405 0.0024707285 0.0019822998 0.0007680635 0.0008264761 0.0023079189 0.00075563526 0.00083144737 0.0007121365 0.0016181532 0.0006052539 0.00059531134 0.00056672643 0.003891273 0.0005878544 0.00065372395 0.00054435566 0.0041659367 0.0013211189 0.00046605794 0.000562998 0.0011868943 0.00065496675 0.0005853688 0.0009457869 0.0011085965 0.002348932 0.00067858037 0.00051949924 0.005789061 0.0027130786 0.0033742595 0.010161306 0.003537069 0.001931344 0.0028982589 0.0016181532 0.0039770277 0.0019748427 0.0007171078 0.001487657 0.0016728373 0.0009793431 0.00046730076 0.00053068466 0.011817986 0.0039434717 0.004920329 0.0088613145 0.003883816 0.032686196 0.0032810478 0.0027192926 0.0033966303 0.0035619254 0.0021973078 0.002363846 0.0027205355 0.0044045583 0.0011645234 0.0015373698 0.009094966 0.0021525663 0.0020643258 0.009794674 0.003217664 0.013892255 0.0032350635 0.002104096 0.0019338297 0.006539725 0.002752849 0.003272348 0.0015721688 0.004655608 0.0023874594 0.0036190953 0.005787818 0.0044505424 0.0018306755 0.0032822907 0.009322401 0.006164393 0.004029226 0.0015833542 0.007919257 0.0042790333 0.0037508341 0.0013869884 0.0035569542 0.0017797198 0.004482856 0.0040764534 0.003210207 0.0017275214 0.0049911696 0.0039012155 0.010266946 0.0055914526 0.0017996051 0.0011446383 0.0029243582 0.0012689204 0.0005331703 0.0005928257 0.001660409 0.002529141 0.0010675833 0.00087867456 0.005267076 0.0011632806 0.0010936826 0.009103665 0.0031356378 0.0032412775 0.0010389985 0.00062141055 0.0026745512 0.015256872 0.0022432923 0.05195987 0.0012018081 0.011049923 0.00086127507 0.00068355165 0.002668337 0.00044617278 0.00073077885 0.00064875267 0.0011284816 0.0009408156 0.0015187274 0.0005704549 0.0011794373 0.00059158285 0.00050209975 0.000715865 0.00096070074 0.00047848615 0.00046730076 0.00042131636 0.00090104534 0.0033444318 0.00046854359 0.0025626973 0.0014304871 0.0008215048 0.00056672643 0.00045487256 0.0010514267 0.00045984384 0.0005120423 0.00048967154 0.0008513325 0.0004523869 0.0007456927 0.0006611809 0.0013310615 0.00068852294 0.0017387068 0.0005393844 0.000882403 0.0006736091 0.000715865 0.0015870826 0.0031654655 0.0025465405 0.0046730074 0.0008277189 0.0010054423 0.00048221461 0.0008575466 0.00071835064 0.012054122 0.0011545809 0.0022979763 0.010398685 0.004378459 0.0010638549 0.0035743536 0.003384202 0.0018791456 0.0017735058 0.0009880428 0.0013086906 0.0016902367 0.0008973169 0.0009967425 0.00094702974 0.0028883163 0.0011558237 0.0029889848 0.0013596463 0.0018219758 0.00077179197 0.001611939 0.00087991735 0.003384202 0.0006574524 0.001091197 0.0017958765 0.0015038135 0.0007220791 0.00056548364 0.0008463612 0.0024508433 0.0006611809 0.000882403 0.0009954998 0.0024446293 0.0024433865 0.00055305543 0.00069722265 0.027742254 0.0060550245 0.0010986539 0.005928257 0.0065645813 0.0010476982 0.00068355165 0.0007581209 0.007277961 0.0009818287 0.0018257042 0.0009234161 0.009181962 0.0021811512 0.0041162237 0.0026061959 0.010116564 0.0030685253 0.0030884105 0.0036302805 0.014961081 0.004015555 0.004322532 0.06926864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017849669 0.0 0.0 0.0005200445 0.00024600906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010556591 0.0 0.0 0.004307961 0.0029925911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017220633 0.0 0.0 0.0012549575 0.0008495097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055367604 3.7368463e-06 1.8061424e-05 6.726323e-05 0.00014947385 7.598254e-05 6.2280774e-06 7.4736927e-06 1.5570193e-05 0.0 0.0 1.8684232e-06 8.0965e-06 3.1140387e-06 4.9824616e-06 0.00035998286 0.006122823 0.00020677217 0.00021424585 0.0005530533 0.0019188706 0.00049014966 0.0024575992 0.0010693609 0.00019556162 0.00010089485 9.279835e-05 7.5359734e-05 0.00067450077 0.00038178114 0.0004023338 0.0029010384 0.013379778 0.0006439832 0.0009497818 0.0020901428 0.0041466537 0.0036241182 0.0069959993 0.00322303 0.00045589524 0.00023666694 0.00031202668 0.00033195651 0.0020913882 0.0011092206 0.0011266591 0.0090275975 0.0208597 0.001308519 0.0012387645 0.0020870287 0.0073478855 0.0025721958 0.0067200954 0.0032703634 0.0024021694 0.0009790538 0.0009809221 0.0013415278 0.004075654 0.0026612573 0.0026855469 0.009622379 0.020312252 0.0015688527 0.001256826 0.0022776078 0.009469168 0.004061952 0.0059116906 0.0034229513 0.005837577 0.0014200016 0.0017868354 0.002315599 0.0038800922 0.0017806073 0.0040631974 0.009716423 0.0743813 0.009865897 0.007316745 0.010131213 0.042271204 0.03075549 0.02141026 0.014021893 0.05173041 0.0053175325 0.006085454 0.009188282 0.016871238 0.0071087275 0.027577925 0.061374586 0.060558707 0.010180415 0.0091639925 0.01172996 0.028260523 0.030759228 0.017759362 0.014683315 0.05006938 0.005914805 0.0065151914 0.009196378 0.021204734 0.010992556 0.025208766 0.04877207 0.00023479851 4.7956193e-05 8.6570275e-05 5.231585e-05 9.092993e-05 9.964924e-05 4.359654e-05 6.6017616e-05 0.00013514927 2.9271963e-05 3.3631615e-05 2.9271963e-05 8.470185e-05 6.041235e-05 7.349131e-05 0.000107745735 5347.0 15.812418 84549.0 0.005535252 0.00013010207 0.0005677181 9.461969e-05 0.0034063088 0.00057954557 0.00013010207 0.00017741192 0.00040213368 0.00041396113 0.00074513006 0.0005913731 0.0005085808 0.014488639 0.0011472637 0.00047309845 0.026185999 0.01704337 0.027274124 0.012407007 0.023181824 0.014228435 0.023631267 0.011117813 0.025878485 0.014121989 0.00083974976 0.00052040827 0.0009698518 0.0005440632 0.00011827461 0.00014192953 0.001383813 0.008669529 0.0075222654 0.014748844 0.0072502336 0.01639286 0.004801949 0.0031224496 0.005003016 0.01788312 0.0024955943 0.0040568192 0.0069308924 0.006777135 0.0045062625 0.00936735 0.013116654 0.0026611788 0.0060793147 0.020804504 0.0132822385 0.006363174 0.0059965225 0.0035482382 0.002826763 0.005440632 0.0015493974 0.0030396574 0.0011827461 0.0028385906 0.0029568654 0.022554968 0.00026020413 0.031200843 0.013684372 0.027144022 0.026398893 0.053460125 0.01206401 0.010408166 0.019077694 0.035210352 0.007723332 0.006717998 0.024435535 0.012146803 0.038439248 0.034583498 0.01905404 0.0028031082 0.039610166 0.029000934 0.041869212 0.011129641 0.0106328875 0.0060438327 0.014559604 0.0067889625 0.0010644714 0.00029568654 0.00055589067 0.00026020413 0.00030751398 0.00031934146 5.7709947 0.0 2.0 14.0 4.0 804621.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.579492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0