Input: 0.840745 0.001758479 0.0018851323 0.0009598976 0.0010772184 0.0006679288 0.0012492001 0.0012865295 0.0010945499 0.0002399744 0.0013598549 0.00047328285 0.000725256 0.00017198165 0.00035462884 0.00039462457 0.00089190487 0.00044528584 0.000362628 0.00040262373 0.00018264719 0.000110654866 0.00022930888 0.00015598336 0.0006932594 9.7322954e-05 8.265785e-05 0.00012265358 0.00069992535 0.0001053221 0.00012531996 0.0006452645 0.0022717577 0.00010798848 0.00015598336 0.00025330632 0.00013865187 0.00015465017 0.00014665103 5.866041e-05 0.0005212777 4.53285e-05 0.0002573059 0.00024530716 0.00027863696 0.00017064846 0.0004546182 7.46587e-05 0.00070259173 0.00024264079 0.00023330844 0.00018398037 0.00021197739 0.00023197525 0.00011332124 0.00018264719 0.00022664249 0.00018398037 0.00016931527 7.065913e-05 0.00011465444 0.0002546395 0.00016264932 0.0004932807 0.00028930246 0.00023197525 0.00023597483 0.0003586284 0.00020264505 0.00015465017 0.00019464591 0.0002706378 0.00011332124 0.00019731229 0.00013198591 0.00016264932 0.00015198378 0.00020264505 0.00013865187 0.00017998081 0.0002559727 8.7990615e-05 0.00020531143 0.00039462457 0.0002839697 0.00017198165 0.00014398464 0.00013065273 0.00017064846 0.00015331699 0.00019997866 0.00016131613 0.0001653157 0.00014398464 7.46587e-05 0.00038662544 0.00017064846 0.0006612628 0.00033996374 0.00044395265 0.00039729095 0.0016144945 0.00016131613 0.00035196246 0.00024530716 0.0008212457 0.00011865401 0.0002559727 0.0005506079 0.00040928967 0.0008012479 0.0018891318 0.0004546182 7.3325515e-05 0.00091323594 0.0012651983 0.0015331698 0.00057593855 0.000121320394 0.00023864121 0.0001653157 0.0003159663 0.000181314 0.00030530078 0.00020264505 0.00016798209 0.00014798422 0.00038262585 0.00061060156 0.000102655715 2.6663822e-05 9.865614e-05 0.00022664249 3.4662968e-05 0.00010398891 9.465657e-05 0.00022264292 6.3993175e-05 5.4660835e-05 0.00012265358 0.00059460325 7.732509e-05 0.00012798635 0.000111988054 0.00012798635 7.3325515e-05 5.99936e-05 7.999147e-05 0.00010398891 5.0661263e-05 9.0657e-05 7.065913e-05 4.1328924e-05 9.465657e-05 7.732509e-05 3.9995735e-05 0.00018264719 9.998933e-05 6.265998e-05 4.2662115e-05 0.00036929394 0.000102655715 3.8662543e-05 5.1994455e-05 5.5994027e-05 9.465657e-05 6.9325935e-05 5.0661263e-05 0.00010132253 8.265785e-05 9.199019e-05 0.000102655715 8.532423e-05 0.0001346523 0.00011865401 6.132679e-05 4.799488e-05 4.932807e-05 8.665743e-05 5.3327643e-05 0.00013198591 0.00010798848 7.3325515e-05 5.3327643e-05 0.00014798422 0.00014531783 8.265785e-05 0.00021731015 5.5994027e-05 0.00011732082 6.3993175e-05 0.00011465444 0.0005826045 5.1994455e-05 2.266425e-05 7.8658275e-05 7.199232e-05 4.799488e-05 5.3327643e-05 5.99936e-05 7.199232e-05 5.866041e-05 8.132466e-05 8.532423e-05 6.3993175e-05 0.00010665529 0.00021731015 8.132466e-05 0.00024930673 4.932807e-05 0.000110654866 0.0001053221 8.7990615e-05 0.00014798422 0.00016131613 6.265998e-05 4.666169e-05 8.132466e-05 0.00012531996 4.1328924e-05 6.665956e-05 0.00011332124 6.532636e-05 0.00013065273 0.002414409 4.666169e-05 4.53285e-05 0.000102655715 0.0001199872 5.3327643e-05 2.9330206e-05 0.00017464804 0.00047194966 0.000110654866 5.0661263e-05 0.00019997866 0.00010398891 0.00010932167 9.865614e-05 0.00011732082 0.0019171288 8.7990615e-05 9.199019e-05 0.00011865401 0.00076125213 0.00026397183 0.00017598123 0.00021864334 0.00074792025 0.00012265358 0.00016264932 6.3993175e-05 0.00090790313 0.00023464164 0.00049061433 0.08733602 0.13894774 3.540206e-05 0.0 4.6757436e-06 0.0 0.0 1.0687415e-05 0.0 8.683524e-06 3.339817e-06 6.679634e-06 6.679634e-06 0.0 4.6757436e-06 0.00016832678 0.00033798948 0.06518989 0.00032797005 5.076522e-05 0.000108878034 2.137483e-05 6.011671e-06 2.8054463e-05 4.675744e-05 3.8073915e-05 1.2023342e-05 1.7367049e-05 1.4027231e-05 3.6070025e-05 1.9370938e-05 0.00044686752 0.0034039414 0.5800287 0.001660557 0.0016124636 0.00018101808 0.0001369325 0.00013426064 0.00012156934 0.00037873525 0.0007628142 0.00018836568 0.00041680917 0.00012891693 0.00033732151 0.00027520093 0.0021635336 0.0749475 0.013273101 9.351488e-05 1.9370938e-05 3.6737987e-05 1.1355378e-05 4.6757436e-06 2.6718537e-05 4.1413732e-05 4.4085584e-05 4.6757436e-06 4.0077803e-06 2.6718537e-06 5.6108925e-05 3.339817e-06 1.7367049e-05 0.0027767238 0.012609146 9.1510985e-05 3.2062242e-05 0.00018035012 1.7367049e-05 1.8035013e-05 5.7444853e-05 0.00016164714 3.740595e-05 1.3359269e-06 2.0038901e-06 2.0038901e-06 2.0706866e-05 2.0038901e-06 4.0745766e-05 0.008614056 0.001020648 2.8054463e-05 9.351487e-06 7.3475976e-06 1.0019451e-05 1.2023342e-05 3.4734097e-05 1.9370938e-05 1.4027231e-05 2.6718537e-06 3.339817e-06 2.0038901e-06 2.0038901e-06 2.6718537e-06 2.6718537e-06 0.0001970492 0.0009598634 2.7386499e-05 1.8035013e-05 1.6031121e-05 2.4714645e-05 1.0687415e-05 7.948765e-05 2.8054463e-05 4.6757436e-06 0.0 2.0038901e-06 1.3359269e-06 6.6796343e-07 0.0 2.0038901e-06 0.00019304143 0.0046770796 0.00027319705 0.0004401879 0.00017233456 0.00038675082 0.0003633721 0.0018228721 0.001130194 4.942929e-05 3.4734097e-05 2.2710756e-05 2.6050573e-05 3.0726318e-05 4.274966e-05 3.2062242e-05 7.147208e-05 0.018381016 0.001040687 0.0013726648 0.0008736961 0.0008783719 0.0010259917 0.003973714 0.002646471 0.0003540206 0.00020172495 0.00012223731 0.00014628399 0.00017033066 0.00016832678 0.0001770103 0.0012991888 0.009658083 0.0005991632 0.00067597895 0.00070136157 0.00051366386 0.00034600505 0.0011422174 0.00076147827 0.0003212904 0.00016765881 0.00013559657 0.00018702976 0.00018235401 0.00017099864 0.00019838513 0.0006546041 0.00247948 0.00015630343 0.00019304143 0.00032195836 0.00025449405 0.00019304143 0.0007701618 0.00045555105 0.000104870254 4.675744e-05 6.1452636e-05 0.00011288581 7.681579e-05 4.74254e-05 9.752266e-05 0.00010019451 0.001953793 0.00024781443 0.00018035012 0.00021308033 0.00014761991 0.00011088193 0.0002591698 0.00020306087 0.00014561602 5.8112815e-05 7.748375e-05 0.00011088193 8.616728e-05 6.74643e-05 0.00010420229 0.00013826843 0.0024053361 0.00016699085 0.00013225676 0.00016899474 0.00017968216 0.0002571659 0.0001790142 0.00026250962 0.00021575218 0.00013760047 0.00020573272 0.00021040847 0.00016164714 0.00021775607 0.00019370939 0.00037739932 0.0010233199 0.00011221785 7.681579e-05 9.819062e-05 0.000108878034 0.00013426064 9.618673e-05 0.00014628399 0.00011555767 7.748375e-05 0.000110213965 0.00011221785 0.0001021984 0.00012023341 0.00011756156 0.0001843579 0.00077283365 0.00012891693 0.00011154989 0.00017367049 0.0001349286 0.00012824897 0.0001242412 0.0001716666 0.00012223731 9.418284e-05 0.00011154989 0.00012357323 0.0001295849 0.00012357323 0.00013025287 0.0001549675 0.0013118802 0.00035001282 0.0003065952 0.0004729181 0.0003760634 0.00038007117 0.0003560245 0.00049562886 0.00033464967 0.00026518147 0.000309935 0.00036003228 0.00034400116 0.00037673136 0.00036203617 0.00043818398 509.0 18.88998 9615.0 0.0144565785 0.0008320333 0.0022880915 0.0017680707 0.00010400416 0.0021840874 0.0 0.0 0.0 0.0 0.0 0.0 0.0073842956 0.0055122203 0.026209049 0.00062402495 0.018720748 0.01123245 0.004472179 0.007072283 0.007800312 0.010400416 0.0018720749 0.0055122203 0.0010400416 0.0032241289 0.007280291 0.0 0.0012480499 0.009360374 0.0012480499 0.00093603745 0.0008320333 0.0074882996 0.0075923037 0.01175247 0.009360374 0.004576183 0.005304212 0.0015600624 0.0031201248 0.0064482577 0.0008320333 0.0022880915 0.005200208 0.0060322415 0.0012480499 0.001976079 0.0062402496 0.0013520541 0.0083203325 0.017160686 0.010920437 0.0012480499 0.0038481539 0.0011440457 0.0014560582 0.00010400416 0.0007280291 0.0 0.0016640666 0.0014560582 0.0 0.019032761 0.00020800832 0.037129484 0.017576704 0.025377015 0.02152886 0.10587624 0.0083203325 0.017368695 0.0055122203 0.04451378 0.0021840874 0.00800832 0.028185127 0.022152886 0.044097763 0.04950598 0.00800832 0.00041601664 0.047425896 0.05127405 0.079459175 0.030681226 0.0047841915 0.008424337 0.00800832 0.016848674 0.002600104 0.0 0.0 0.0007280291 0.0007280291 0.0 5.3397007 1.0 0.0 0.0 1.0 750080.0 770048.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541317400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 80.0 0.0 4.0 0.0 6.0 0.0 645120.0 512.0 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 -645120.0 0.0 103936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3437378 0.0 1.0569719 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 -644784.0 0.0 103588.0 0.0 0.0 0.0 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 79.0 652888.0 103588.0 655360.0 0.0 0.0 0.0 0.0 12.0 761856.0 28.0 652576.0 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: 0.10682212 0.0054382407 0.004464286 0.0037484877 0.0050783856 0.0034590391 0.0033273532 0.0033221378 0.0061488235 0.0032452124 0.003255643 0.0032686812 0.004933662 0.003226959 0.0029531564 0.0058554634 0.004726354 0.003095273 0.0029935748 0.0027836594 0.0037132844 0.0035307494 0.002933599 0.0027693175 0.0032960614 0.0029075225 0.0027849632 0.002895788 0.0031278685 0.0027823555 0.002970106 0.0028723194 0.00397796 0.0028410277 0.0027901786 0.0028358123 0.003620713 0.0027823555 0.0027706213 0.0027523676 0.0030339933 0.0026715307 0.0027706213 0.0032347818 0.0029661944 0.0039909985 0.0029153454 0.002670227 0.0037184996 0.0032282628 0.0031708945 0.004658555 0.0031656793 0.0031852366 0.0030613735 0.0031369952 0.003416013 0.0033821138 0.0031356914 0.0040470627 0.0034916347 0.0037445761 0.0032465162 0.004645517 0.0040953043 0.0034590391 0.0036454857 0.0030183473 0.0032725926 0.008125417 0.0033899366 0.0029948787 0.0033625562 0.002912738 0.0051461845 0.005140969 0.0030352972 0.0062218374 0.0029688021 0.0027667098 0.004749823 0.0036102824 0.0031030958 0.0034420895 0.0031917556 0.0056207757 0.0038384513 0.003569864 0.0030379046 0.0040718354 0.002897092 0.0029583715 0.0029362065 0.004030113 0.00336386 0.0031852366 0.002962283 0.0038006403 0.0030613735 0.0033612526 0.0036819926 0.0044434248 0.004204825 0.0028983958 0.003695031 0.0034799003 0.003985783 0.0029218646 0.003768045 0.0032230474 0.0037289301 0.003598548 0.00333648 0.0027771404 0.0039388454 0.0039245035 0.006216622 0.0062896363 0.003028778 0.0028644963 0.003152641 0.0030561583 0.0029049148 0.0027458486 0.003014436 0.0033104036 0.0029036112 0.003049639 0.0035359645 0.003152641 0.002781052 0.00686071 0.0034616468 0.0051240195 0.0028149511 0.00258939 0.0032712887 0.007229692 0.0030770195 0.015172574 0.0029023073 0.005357404 0.002758887 0.0027497602 0.0036350552 0.0030352972 0.0027771404 0.0027562792 0.002830597 0.0029518525 0.0027119492 0.002648062 0.0029283836 0.002816255 0.0027028224 0.0027562792 0.0028292933 0.002816255 0.0028214704 0.0028475467 0.0030313856 0.0030691964 0.0028123436 0.002897092 0.0027471525 0.0028475467 0.002676746 0.0027406334 0.0031435143 0.0028240778 0.002757583 0.002736722 0.002867104 0.002625897 0.0026415428 0.0026350238 0.0030405123 0.002649366 0.0026897844 0.002758887 0.0029688021 0.0027236836 0.0034107978 0.0029440296 0.0031878443 0.0027614946 0.002816255 0.002765406 0.0030548545 0.003065285 0.0027914825 0.003066589 0.0051800837 0.003563345 0.0033077959 0.0042230785 0.0037641334 0.0029505487 0.0033182264 0.004181356 0.0036246246 0.00349685 0.00283842 0.0027145569 0.0062048878 0.0028853575 0.0028488506 0.002895788 0.003379506 0.0029688021 0.0030157398 0.0029674983 0.0030548545 0.0026167703 0.0028592811 0.0027693175 0.0035998519 0.002925776 0.0027966977 0.0028918767 0.0030705002 0.0029831443 0.0028397238 0.0027680136 0.003679385 0.0028697117 0.0028618888 0.002792786 0.0034916347 0.0032465162 0.00279409 0.0028240778 0.007356162 0.0034238358 0.0029205608 0.0043430305 0.0049062814 0.0027484563 0.0028488506 0.0028110398 0.004659859 0.0029218646 0.0029870556 0.0029518525 0.0037889061 0.0027680136 0.0034121017 0.0034225322 0.004478628 0.0029661944 0.002917953 0.0027497602 0.0048606475 0.003204794 0.004256978 0.01749468 0.04278075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002187474 4.9611463e-05 6.462546e-05 1.6972343e-05 5.7444853e-05 3.198634e-05 4.8958682e-05 3.263912e-05 1.6972343e-05 3.9819726e-05 3.0680774e-05 2.2194603e-05 1.10973015e-05 1.8277908e-05 1.3055648e-05 3.198634e-05 0.0017840543 3.9166945e-05 0.00012076475 1.0444519e-05 8.290337e-05 1.2402866e-05 0.00029571043 0.00018016795 5.6139288e-05 4.5041987e-05 7.1806066e-06 6.527824e-06 7.833389e-06 1.3055648e-05 5.8750416e-06 6.527824e-06 0.010486949 0.00013251483 0.0006730187 8.747284e-05 0.0012102586 0.0003231273 0.0018010268 0.0010568547 4.7000332e-05 0.0001821263 5.2875377e-05 4.308364e-05 4.5041987e-05 9.334789e-05 0.0001077091 0.0010372712 0.0039036388 0.00012468144 0.0002859187 8.029224e-05 0.00054703164 0.00014426491 0.0007578804 0.00047392002 4.569477e-05 5.6139288e-05 3.198634e-05 2.8069644e-05 5.8097634e-05 2.2194603e-05 3.3291904e-05 9.138954e-05 0.01069584 0.00041386407 0.0009981043 0.00036490537 0.0017566375 0.0005170037 0.0031203 0.0016280394 0.00017690404 0.0002336961 0.00012076475 0.00037796103 0.00030484938 0.00016319561 0.0001742929 0.00034401633 0.007055925 0.0003459747 0.00047130891 0.00043866978 0.001299037 0.00038057216 0.0016965815 0.0011110357 0.0002225988 0.00019126525 0.00014622326 0.00025654348 0.00029179375 0.00014034822 0.0003668637 0.00029114095 0.0034388578 0.0005463789 0.00044323926 0.005519928 0.0007990057 0.0005861986 0.0013382039 0.0008140197 0.0005215732 0.0004125585 0.00039885007 0.0004915452 0.0006462546 0.00037404432 0.00035968312 0.00068933825 0.006658381 0.000770936 0.00053267047 0.00097329856 0.003168606 0.0017383596 0.00087407563 0.0008244642 0.0055486504 0.0003942806 0.0003635998 0.00049546186 0.0021339457 0.00068281044 0.002004042 0.003585081 0.02034984 0.003002799 0.0017938461 0.0032201756 0.0075207064 0.006133544 0.0027710614 0.004239169 0.014090309 0.0014674548 0.001178925 0.001904819 0.007226954 0.0021620153 0.006030404 0.011827765 0.016419437 0.0035178445 0.002220113 0.0035628865 0.0059096394 0.0065447967 0.0027567002 0.004890646 0.011070537 0.0015621083 0.0015666778 0.0016293449 0.0057882215 0.0024401008 0.005478803 0.010203642 0.042204343 0.041278698 0.04105675 0.042033967 0.04126303 0.041255195 0.041396197 0.04131003 0.04112007 0.04131003 0.041204933 0.041484974 0.041526753 0.041449074 0.04140403 0.041803535 3250.0 7.944308 25819.0 0.025678763 0.00631318 0.0063906424 0.005770944 0.009876448 0.0054223635 0.0058871373 0.008908168 0.007203997 0.006506836 0.0059258686 0.0057322127 0.007939889 0.0063519115 0.009450405 0.0063519115 0.010573609 0.011115845 0.01127077 0.011348232 0.012161586 0.00964406 0.010418684 0.009876448 0.01127077 0.011038383 0.01127077 0.011193307 0.012897478 0.012471436 0.01161935 0.012742554 0.012393974 0.00929548 0.006274449 0.008791975 0.008675781 0.0074751154 0.007862427 0.007203997 0.00797862 0.007939889 0.0054223635 0.006274449 0.008327201 0.007126535 0.0063519115 0.0057322127 0.012355242 0.005693482 0.0077462336 0.010728533 0.010534877 0.0071652657 0.008985631 0.010805995 0.008365932 0.006739223 0.0064293738 0.0065455674 0.0072814594 0.006506836 0.006932879 0.0096053295 0.008482126 0.022890119 0.010418684 0.01859096 0.017235368 0.035942525 0.00964406 0.008830706 0.011386964 0.01928812 0.007242728 0.0069716102 0.01924939 0.011541888 0.020024013 0.026647042 0.012316511 0.006506836 0.025059065 0.020178938 0.029939191 0.013246059 0.007707502 0.006235718 0.009489136 0.010379952 0.00631318 0.006003331 0.008249738 0.0061195246 0.005499826 0.006196987 6.4153996 0.0 0.0 0.0 16.0 766976.0 782336.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1540905000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 14.0 15.0 6.0 0.0 6.0 0.0 688128.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63488.0 0.0 0.0 0.0 0.0 0.0 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 -688128.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.568969 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.284342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2820067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7038965 0.0 5.0081143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63106.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -687625.0 0.0 792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 40.0 753596.0 792.0 765952.0 0.0 0.0 0.0 0.0 8780.0 770048.0 28.0 744464.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 744496.0 0.0 0.0 304.0 692224.0 0.0 0.0 0.0 0.0


Input: 0.005402216 0.0036560784 0.0036438678 0.0038335812 0.003658759 0.0036962845 0.0037281518 0.0038580026 0.003602768 0.003714154 0.003660546 0.0038475788 0.003744532 0.0037728252 0.003791886 0.0040870286 0.0036140853 0.0036805 0.0037201105 0.0037775903 0.0036691828 0.0038374527 0.0038189879 0.003852046 0.0037347039 0.0037886098 0.003778186 0.0038711068 0.0038395375 0.003887487 0.0039661126 0.0040792855 0.003624807 0.0036781174 0.0036915194 0.0038222638 0.0037132606 0.0037784837 0.0037552535 0.0039151846 0.0036560784 0.003776399 0.0037323213 0.0038309006 0.0037644862 0.0038764677 0.003875574 0.0040456313 0.0036876476 0.0038005228 0.0037862272 0.003874383 0.0038210726 0.0039223325 0.0038580026 0.0039199498 0.0037653795 0.0038666395 0.003832092 0.0039842795 0.003936628 0.0039979797 0.0040944745 0.004193947 0.0038368572 0.0036742457 0.0037067083 0.0038541309 0.0036614393 0.0038282203 0.0037719316 0.0038770633 0.0037370864 0.003813627 0.00372428 0.0038785525 0.0038133292 0.003985173 0.0038413245 0.0039848755 0.0038142225 0.0038040967 0.003747808 0.0039136955 0.0037817599 0.0039041652 0.003979217 0.003978323 0.0038416223 0.0038746807 0.003886296 0.003887785 0.0038851046 0.003968793 0.0040366966 0.0041748867 0.0036668 0.003870809 0.0038005228 0.0038693198 0.0037868228 0.003936926 0.0039101215 0.0040384834 0.0038505571 0.0039506257 0.003955391 0.003925013 0.0038922522 0.003948839 0.003921439 0.0040620114 0.003808564 0.0039842795 0.0038627677 0.0039530084 0.004027762 0.0040295487 0.003951817 0.00408554 0.0040414617 0.0039068456 0.0039032719 0.004020614 0.004020912 0.0040786895 0.004250236 0.004275551 0.0036227223 0.0037043258 0.0036200418 0.003891061 0.0037418515 0.0038460896 0.0038180943 0.0038946348 0.00373113 0.003908633 0.0038127336 0.004121874 0.0038177965 0.0040384834 0.003983684 0.0040280595 0.0037558493 0.003857407 0.0037439363 0.003802012 0.0037886098 0.00385562 0.003936926 0.0039658146 0.0037844402 0.0037924815 0.0038347724 0.0038678308 0.0038511527 0.0039235237 0.003961943 0.004180843 0.0037147496 0.0038502591 0.0037213017 0.0038949328 0.003810053 0.0038151161 0.0037975444 0.0039631343 0.0038124358 0.003852642 0.0037895034 0.0039041652 0.003837155 0.0038940392 0.0039434778 0.0040691593 0.0037609122 0.0039586667 0.0038478766 0.00397326 0.0038651505 0.0038931458 0.003946754 0.003980408 0.0038332832 0.00387617 0.003916674 0.0039947033 0.003996788 0.0040417598 0.0040486096 0.0042874636 0.003907441 0.0037856316 0.003845494 0.0039801104 0.0038985065 0.0038243486 0.0038731915 0.004027762 0.0038749785 0.0038306029 0.0037886098 0.00394318 0.003914589 0.0038717026 0.003960156 0.004103409 0.0038395375 0.0038529397 0.003934543 0.004016147 0.0038055857 0.003817201 0.003865746 0.004038186 0.0038931458 0.003926502 0.0039059522 0.0039866623 0.0039595603 0.0039631343 0.0040754136 0.0043041417 0.0039339475 0.0039267996 0.0039622406 0.0040447377 0.003946158 0.0039539016 0.0039693885 0.004025677 0.0039893426 0.003965219 0.0039053566 0.0039681974 0.004005723 0.003944967 0.004029251 0.004205562 0.0040319315 0.0041317022 0.004037888 0.0040104883 0.003926502 0.004066479 0.004066479 0.0041954364 0.0041903732 0.0041436153 0.0040435465 0.0041531455 0.0042746575 0.0043136724 0.0042606597 0.0048408196 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00021181694 5.2134974e-06 9.682209e-06 5.5114115e-06 5.8093256e-06 5.6603685e-06 1.7279019e-05 1.1618651e-05 1.2214479e-05 1.4895706e-06 5.958282e-07 1.4895706e-07 8.9374237e-07 1.4895706e-07 7.447853e-07 1.623632e-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 0.00015640492 4.1707976e-06 4.0218406e-06 2.8301843e-06 1.1469694e-05 1.0278038e-05 3.3515338e-05 5.3624542e-05 6.5541108e-06 2.0853988e-06 2.0853988e-06 2.9791413e-06 2.9791413e-06 2.383313e-06 4.1707976e-06 5.5114115e-06 0.00025590823 1.3406136e-05 7.59681e-06 1.0575952e-05 3.3217424e-05 2.130086e-05 0.00010084393 7.49254e-05 2.0705033e-05 8.192638e-06 5.6603685e-06 8.490552e-06 7.894724e-06 7.298896e-06 8.043681e-06 2.6067486e-05 0.00036851977 2.1151904e-05 1.9066503e-05 1.8172761e-05 6.2710926e-05 5.0049573e-05 0.00011156884 8.579927e-05 5.2879757e-05 9.980123e-06 6.703068e-06 8.937423e-06 3.336638e-05 1.2363436e-05 2.025816e-05 3.3664295e-05 0.00012318749 1.0278038e-05 1.7130062e-05 9.980123e-06 1.1767608e-05 1.29592645e-05 2.785497e-05 2.0109203e-05 6.2561967e-06 6.4051537e-06 7.894724e-06 9.831166e-06 7.894724e-06 9.0863805e-06 8.341595e-06 1.6087362e-05 7.0754606e-05 8.788466e-06 1.2810307e-05 8.937423e-06 3.0536197e-05 2.4577916e-05 7.894724e-06 1.5938405e-05 5.2134972e-05 3.7239265e-06 2.2343559e-06 3.4260124e-06 2.7110185e-05 4.915583e-06 1.1469694e-05 1.9811288e-05 0.001214 0.00023996983 0.00018187657 0.0002795924 0.0005699097 0.00046668248 0.00029776516 0.00040575903 0.0007382312 0.00011812295 9.324712e-05 0.00011946356 0.00032070457 0.00022864909 0.00030849007 0.00082388154 0.059113313 0.060623586 0.060296927 0.062019017 0.060274433 0.061898958 0.061799157 0.063541956 0.060707003 0.06176728 0.061563954 0.06308272 0.062044043 0.06293138 0.06342919 0.06575516 15854.0 5.7273874 90802.0 0.009768507 0.009658378 0.010164974 0.010164974 0.009394066 0.009768507 0.010010793 0.0099557275 0.00918482 0.009944715 0.010198013 0.010374221 0.010495364 0.010671571 0.010979935 0.010836766 0.009537235 0.009812559 0.01029713 0.009867624 0.009867624 0.010264091 0.010054844 0.010594481 0.01010991 0.01029713 0.010065857 0.009702429 0.010308143 0.01070461 0.0103301685 0.0102310525 0.009405079 0.0103301685 0.010495364 0.010473338 0.009867624 0.009933702 0.010561441 0.010385234 0.009548248 0.010164974 0.009900663 0.009801546 0.010627519 0.011266272 0.0108037265 0.010164974 0.010572454 0.010363208 0.010198013 0.010979935 0.010737649 0.010869805 0.010572454 0.011034999 0.0102310525 0.010715623 0.010682584 0.010308143 0.010572454 0.0109909475 0.010825752 0.01118918 0.009713442 0.011057025 0.010164974 0.010649545 0.010605494 0.012367569 0.010649545 0.010825752 0.010198013 0.012246426 0.010396247 0.0101429485 0.011034999 0.0108037265 0.011200194 0.011200194 0.009636352 0.01022004 0.011420453 0.010979935 0.012279465 0.01022004 0.010440298 0.010550428 0.01029713 0.010660558 0.010164974 0.009361028 0.0103301685 0.0105173895 0.01144248 0.010032819 6.582714 0.0 0.0 0.0 43.0 3357696.0 3375104.0 0.0 0.0 117.0 0.0 1.0 0.0 0.0 0.0 982162500.0 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 5.0 10.0 4.0 0.0 4.0 0.0 22016.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 3326464.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1327305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8795633 0.0 0.0 7.9989724 0.0 0.0 0.0 0.0 0.0 -6.5123854 0.0 2.8042722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3026.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5941.0 0.0 0.0 3330048.0 0.0 0.0 0.0 0.0 0.0 -21638.0 0.0 1288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 50.0 31648.0 80.0 29164.0 1288.0 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 0.0 480.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.21149652 0.019151649 0.011102572 0.013525578 0.013364505 0.009160484 0.004579092 0.0025748762 0.008670361 0.0022113102 0.0026462087 0.001530199 0.0018477441 0.0028440992 0.0013760285 0.009006314 0.0075405445 0.0027083373 0.00078235735 0.0009043131 0.0018592493 0.0032674926 0.00072713214 0.0006373912 0.0036540693 0.0028947224 0.00072253007 0.0006627027 0.0010469783 0.0010216667 0.0008905068 0.0020939566 0.008334408 0.0009618394 0.001622241 0.00060287537 0.016696427 0.0010584835 0.0005154355 0.0013346097 0.0032306758 0.0006373912 0.000630488 0.0021882995 0.00078926055 0.0014910811 0.0013461149 0.0008237763 0.006797305 0.0013829317 0.0021882995 0.004178709 0.002388491 0.00084908784 0.0006212838 0.0006258859 0.0031846547 0.0013599212 0.001079193 0.002834895 0.0008329805 0.00078235735 0.00071792793 0.0038887763 0.02230639 0.007789058 0.0017418957 0.0029545496 0.0064521474 0.0039278944 0.0015025864 0.0014335548 0.062231928 0.007499126 0.0008697973 0.0013599212 0.008030669 0.0034078567 0.0010078604 0.0010630856 0.005630672 0.000812271 0.0014105444 0.0022550302 0.0024368132 0.0055455333 0.0028510024 0.0025104468 0.0024230068 0.0005039302 0.00078005635 0.0014450601 0.0029407432 0.0011781382 0.0012954918 0.007059625 0.0026231983 0.00698369 0.0025886826 0.007915616 0.0039393995 0.008872853 0.0036632733 0.00157622 0.0027796698 0.009993465 0.00042339342 0.0005545533 0.005711209 0.0022734385 0.004949561 0.007862692 0.0062979767 0.00073633634 0.008520792 0.010251183 0.016151078 0.004231633 0.0018845609 0.0014220496 0.0027635624 0.0020985587 0.00074323954 0.0007386374 0.0013139002 0.00071562687 0.00066960586 0.0010147635 0.0057871435 0.0016107358 0.00071332586 0.010412256 0.0025886826 0.0057411226 0.00084448577 0.0006557996 0.0018408409 0.013532482 0.0013346097 0.029791709 0.0013208033 0.011792887 0.0005131344 0.0005223386 0.0050323987 0.00040268395 0.00050623127 0.0014749737 0.00074323954 0.00050623127 0.00023930932 0.00033595346 0.0009181194 0.0016820683 0.00037507134 0.0005706607 0.0008813026 0.00037507134 0.00034055556 0.00032905032 0.0017810136 0.00057526276 0.0005223386 0.0005453491 0.0006442943 0.00063969224 0.00060977857 0.00045100602 0.0011551277 0.0005499512 0.00067650905 0.00049702707 0.0004855218 0.00036356607 0.00043489865 0.00040268395 0.0014749737 0.00038887764 0.00039578078 0.00028993245 0.000540747 0.00032444822 0.00072253007 0.0011597298 0.0017303905 0.0010078604 0.0013438138 0.00045790916 0.00056375755 0.00046021023 0.00043489865 0.00043029655 0.0059505184 0.0033963514 0.0017004767 0.0043558897 0.0032260737 0.00045100602 0.0017188851 0.0036494671 0.0028072824 0.0019328829 0.00085368997 0.0015048875 0.022136113 0.0005683596 0.0008859047 0.0013737276 0.002609392 0.0010837951 0.0011735361 0.0005315428 0.0005614565 0.00045100602 0.0005545533 0.00066960586 0.0015278979 0.0010676878 0.0006903153 0.0009779467 0.00043029655 0.00071562687 0.00046711336 0.000404985 0.0024045985 0.00045330706 0.0004993281 0.0006258859 0.00066040165 0.00029683558 0.00044180182 0.00034285663 0.0078603905 0.0024828343 0.0008767005 0.002070946 0.002657714 0.00047861863 0.00034055556 0.00044180182 0.0024897372 0.0006373912 0.0008905068 0.0005683596 0.00049702707 0.00038427554 0.0012747823 0.0007110248 0.0039509046 0.0011804393 0.0017027778 0.0006074775 0.0010101615 0.0009963551 0.0027658634 0.031795923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03365793 0.00016045176 0.00041786718 0.00028627363 0.0008068761 0.0006129488 0.0005990969 0.00038092863 0.0005252198 0.00030358857 0.00035784204 0.00024240914 0.00012005024 0.00016391475 0.00018469268 0.0013690344 0.026652306 0.00047327497 0.00081495644 0.0005125222 0.0005459977 0.00018930998 0.00011312426 0.00027588467 0.000547152 0.00074569666 0.00036592234 0.00020662493 0.00019854463 0.0002216312 0.00022393986 0.0010100381 0.012566027 0.0004548057 0.00041555852 0.00021239657 0.00015583444 0.00023086584 0.0004963616 0.00043402778 0.00048135527 0.00028281065 0.0002054706 8.772902e-05 9.350067e-05 0.00010158097 9.9272314e-05 0.00023086584 0.01492894 0.0007306904 0.0010019577 0.000736462 0.0013597998 0.00096617354 0.0039397255 0.0023894615 0.00034052713 0.0004120955 9.580932e-05 0.00015698877 0.00018238401 0.00022509419 0.00024702644 0.000655659 0.022860335 0.0009419326 0.0012905401 0.0010285074 0.0012605275 0.0011196993 0.0028696624 0.002015459 0.0008969138 0.0005979425 0.0002885823 0.00027588467 0.00034629877 0.000280502 0.00037400267 0.001378269 0.059950087 0.003748107 0.004317191 0.007452349 0.012813054 0.009718297 0.032631733 0.021169243 0.002342134 0.0021828364 0.00086690125 0.0011566379 0.0009488586 0.0012166629 0.001297466 0.008401208 0.021305455 0.0011508662 0.0030047188 0.0031720966 0.0075643193 0.005095209 0.016535766 0.009863743 0.0012282062 0.0008218824 0.0004986702 0.00034052713 0.00034629877 0.0006406527 0.0005333001 0.0011843417 0.013416768 0.00093616097 0.000999649 0.0011520205 0.0016345301 0.0010631372 0.0020431627 0.0015560357 0.00081264775 0.0011612552 0.0017926733 0.0007560856 0.0008703642 0.00078032655 0.00091653736 0.000841506 0.013013908 0.002563765 0.0020062241 0.0013898123 0.010899176 0.00178113 0.0012489842 0.0020466256 0.007870217 0.00078148086 0.0015837396 0.0007353077 0.003842762 0.00067528256 0.0012536015 0.0026815068 0.089934945 0.01801677 0.0255303 0.014604573 0.09371075 0.018382693 0.008731346 0.017153332 0.071740404 0.0064965645 0.0031894115 0.006742437 0.04805126 0.008671321 0.016631575 0.032317754 0.0053803283 0.0017141788 0.0019138778 0.0024240913 0.0026237902 0.0015260231 0.0027438405 0.0018226858 0.001956588 0.0006868259 0.00070991245 0.00072491873 0.0013032376 0.0007179928 0.00091769174 0.001202811 0.001304392 0.0004825096 0.00048135527 0.0006371897 0.00052291114 0.00040516956 0.000746851 0.00045596002 0.00038439163 0.00021239657 0.00027588467 0.00024240914 0.00025048942 0.00019623597 0.00023086584 0.00026318704 1600.0 40.879375 65407.0 0.009784886 0.00019875549 0.00030577768 0.00015288884 0.021297414 0.000107022184 0.00032106656 0.0014677328 0.0012536885 0.0005809776 0.00033635544 0.00061155536 0.00061155536 0.0020334215 0.005534576 0.0015288884 0.0059473757 0.003547021 0.008806397 0.008286575 0.0074303974 0.0019875548 0.00094791077 0.0006421331 0.0016206217 0.0016053327 0.0030577767 0.00094791077 0.0008255997 0.00051982206 0.0008561775 0.021954836 0.10694574 0.022887459 0.0027367102 0.0052135093 0.007598575 0.006008531 0.002094577 0.0016817772 0.007613864 0.0028437322 0.00039751097 0.0010090664 0.0025685325 0.0017582217 0.0016206217 0.0018805327 0.00629902 0.0009937774 0.0022015993 0.007445686 0.003042488 0.016680172 0.015074839 0.009555552 0.0028743101 0.00025991103 0.0025532434 0.0014983106 0.0023239104 0.0019263993 0.004342043 0.037824698 0.0004586665 0.041692786 0.013943462 0.043313406 0.01793386 0.050407447 0.0050606206 0.0073692417 0.008393597 0.0612014 0.00041279985 0.0007491553 0.030623633 0.0116042625 0.028819546 0.047181495 0.021786658 0.0014371551 0.04218203 0.061339002 0.06624673 0.006788264 0.0061767087 0.0032106654 0.0042044427 0.0091886185 0.0016511994 0.00025991103 0.00051982206 0.00022933325 4.586665e-05 0.00070328865 5.2288523 3.0 28.0 4.0 2.0 434584.0 438272.0 1.0 33.0 237.0 1.0 1.0 1.0 1.0 0.0 1542379400.0 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 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 232448.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124416.0 0.0 0.0 0.0 0.0 13824.0 0.0 0.0 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 -232448.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4084845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5073547 0.0 0.0 0.0 0.0 5.607802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.748377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2329 0.0 4.934885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124416.0 0.0 0.0 0.0 0.0 13536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -232045.0 0.0 5340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 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 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -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 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 1.0 0.0 -2.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 5884.0 345152.0 240.0 351036.0 5340.0 425984.0 13536.0 409600.0 13720.0 420864.0 2336.0 434176.0 84.0 274112.0 0.0 0.0 0.0 0.0 40.0 274464.0 256.0 274208.0 0.0 0.0 1984.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.00579028 0.0052745044 0.0053092893 0.004568412 0.005429637 0.004537825 0.0049408497 0.003993262 0.005267108 0.004046239 0.0045995982 0.0044412673 0.004691758 0.0042339573 0.004369498 0.0039194943 0.0052215275 0.0037281774 0.0042223623 0.0036903939 0.004521632 0.003712984 0.004131202 0.0043834923 0.004545222 0.0035128712 0.00392829 0.0039328886 0.0041144094 0.0035676474 0.0037455698 0.0034187122 0.005007621 0.003908299 0.0039904634 0.0034946792 0.0044036834 0.003674401 0.0040102545 0.0034898813 0.004188777 0.0034780863 0.0037307763 0.0037489685 0.0039824666 0.0033667348 0.0039007023 0.0039236923 0.0046195895 0.003258582 0.00392829 0.0032483863 0.004246352 0.0033867261 0.0038559218 0.0041024145 0.004170585 0.0034914806 0.0036172257 0.003835331 0.0039960607 0.0031890122 0.0034768868 0.0031538275 0.0049826317 0.0040332447 0.0041657872 0.0037359742 0.0039536795 0.0037573648 0.0038933055 0.0033345488 0.004510037 0.003660607 0.0038621193 0.003476487 0.0039094985 0.0036991902 0.0037631623 0.003235392 0.004398286 0.0034820845 0.0039118975 0.0035746442 0.0037495682 0.003471689 0.003821337 0.0040010586 0.004129403 0.0032313936 0.0036000332 0.0032026062 0.0037543662 0.0033005637 0.0035920367 0.0045024403 0.004370898 0.0036156264 0.0034898813 0.003048873 0.0038679168 0.0032060049 0.0034962783 0.0029934973 0.004312523 0.0034379037 0.0036548094 0.0030694641 0.003706387 0.003214801 0.0034868824 0.0038347312 0.0041719843 0.0029747053 0.0036917934 0.0030568696 0.0041230056 0.0036446138 0.0035054744 0.0038131406 0.0038647181 0.003176018 0.0032074042 0.0028869435 0.0036200245 0.0029069348 0.003325153 0.005319085 0.0051023792 0.004124605 0.0042407545 0.0038377298 0.0043431097 0.0037687598 0.0040942184 0.0033855266 0.0040504374 0.003651011 0.0037321758 0.0039572776 0.003719781 0.003687995 0.0034804854 0.0030084907 0.0043786946 0.0032197987 0.0037579646 0.0032873694 0.0036110284 0.0033519412 0.0035258655 0.0032309939 0.0035840403 0.0030108897 0.0033803289 0.003329151 0.003497278 0.0029681083 0.0034141142 0.0030348792 0.004179581 0.0034942792 0.0035614502 0.0031194424 0.0038513239 0.0032611808 0.0036378168 0.0030328801 0.0036688033 0.0031716197 0.0034161133 0.003221598 0.003575444 0.003048873 0.0033665348 0.0034127147 0.004148395 0.0029867003 0.003299964 0.0028715504 0.0037195813 0.0030378778 0.0034502984 0.0031856135 0.003920094 0.0030310808 0.003373132 0.003207604 0.0035204678 0.0028069783 0.003311159 0.0052996934 0.004862684 0.0038277342 0.004049638 0.0037127843 0.0037079863 0.0030966525 0.003798347 0.0031904115 0.0039716717 0.0032749746 0.003290568 0.0030888557 0.003223397 0.00287235 0.003146031 0.0030390774 0.0042125667 0.0032130016 0.0036797985 0.0032259962 0.003637617 0.0030180865 0.0034726886 0.0030710634 0.0038229362 0.0029253268 0.003379929 0.0032381907 0.0034285078 0.003021685 0.0032635797 0.004246152 0.0046443786 0.0035620497 0.0035260655 0.0032439881 0.0037747573 0.0027693948 0.002955114 0.002936722 0.005098381 0.0035070737 0.003407717 0.0037203808 0.0033369476 0.0030050923 0.0031728193 0.003361937 0.0047555305 0.0035074735 0.0032551833 0.0028211721 0.0038337316 0.0031862133 0.00330856 0.0028783474 0.00498663 0.0026758355 0.0039742705 0.002860755 0.0043830923 0.0036875953 0.0062358864 0.05220228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.57967e-05 8.8996585e-06 7.3997157e-06 7.2997195e-06 5.9997697e-06 1.3399485e-05 9.999616e-06 1.2399524e-05 1.0299605e-05 2.8998886e-06 5.4997886e-06 5.9997697e-06 6.099766e-06 6.199762e-06 6.5997465e-06 9.999616e-06 2.2099151e-05 1.689935e-05 1.6199378e-05 0.00014019462 1.639937e-05 1.7299335e-05 1.4899428e-05 1.719934e-05 1.6299375e-05 1.379947e-05 1.3699474e-05 1.4399447e-05 1.7299335e-05 1.7799317e-05 1.7099343e-05 3.799854e-05 0.00031558788 0.00014929427 0.00012439523 0.00065567484 0.00013179494 0.00013399485 0.00012329526 0.00013639477 0.00014449445 0.00011509558 0.0001224953 0.00012629516 0.00012159533 0.00012359525 0.00012849507 0.00021459175 0.07493062 0.06421033 0.06215431 0.05878204 0.061824027 0.05955931 0.056661125 0.057126507 0.06201932 0.05445711 0.054881293 0.055028286 0.05601215 0.054710697 0.055872053 0.10828934 22927.0 5.6999607 130683.0 0.014561955 0.010659382 0.01039921 0.009848258 0.01210563 0.009871215 0.010659382 0.010376254 0.012243368 0.009014179 0.010131387 0.009358524 0.011562331 0.009534523 0.010644077 0.009733478 0.014003351 0.009863563 0.011723025 0.009725825 0.012717798 0.010521644 0.011072596 0.011110856 0.012893797 0.0111032035 0.01039921 0.010697642 0.011837806 0.009304959 0.010062518 0.009320264 0.013421792 0.011493461 0.011256246 0.011057291 0.011072596 0.0103915585 0.011547026 0.010062518 0.013100403 0.010001301 0.010299733 0.009389132 0.011393984 0.009572783 0.011049639 0.008884094 0.012801971 0.009947736 0.011026683 0.010950162 0.010950162 0.009350872 0.010697642 0.01065173 0.011700068 0.009121309 0.009809998 0.008662183 0.011355723 0.008149492 0.009702869 0.011569982 0.012557104 0.010269124 0.009656956 0.008822877 0.011585287 0.009075396 0.009565131 0.008991223 0.011646504 0.009886519 0.009970692 0.008019405 0.01036095 0.008547401 0.009611043 0.009366176 0.01170772 0.008333142 0.011279202 0.009113656 0.012488235 0.010942509 0.009442697 0.009679913 0.01083538 0.009037136 0.008646878 0.007522019 0.0093814805 0.0074301935 0.008822877 0.0099018235 6.5727096 3.0 1.0 0.0 81.0 5002176.0 24342528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1484673700.0 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 9.0 0.0 5.0 0.0 5.0 0.0 13885440.0 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 -13884928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8559265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13885440.0 0.0 0.0 0.0 0.0 0.0 10301440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 888.0 24338496.0 147520.0 24190976.0 0.0 0.0 6040.0 14034432.0 16.0 24339384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 24189916.0 0.0 0.0 0.0 0.0 64.0 419156.0 0.0 0.0


Input: 0.056486685 0.008288319 0.0061612832 0.005646295 0.005754659 0.0049620518 0.00420763 0.005422342 0.005043583 0.0056194616 0.0037452758 0.00446564 0.0049465713 0.0031724933 0.0043211547 0.004633863 0.0050281025 0.0037586924 0.004935219 0.0041622203 0.0043634684 0.0031766214 0.004105458 0.0038402237 0.0050745443 0.003344844 0.0031724933 0.0029227394 0.0041488037 0.0034366956 0.0037844933 0.0037886216 0.0061695394 0.0038185506 0.0034913938 0.0030321358 0.004885681 0.004158092 0.0038433196 0.003727731 0.004728811 0.0038980178 0.0033396839 0.0031085068 0.0043645003 0.0037153466 0.0037297953 0.0035894376 0.0055162576 0.0039506517 0.0030868337 0.002890746 0.003674065 0.0030827057 0.0026936263 0.0028732014 0.004174605 0.0033221391 0.0035037783 0.0033520684 0.004002254 0.0032282234 0.0035079066 0.0034594005 0.006592676 0.003951684 0.0036255592 0.0032292556 0.0041611884 0.003215839 0.0035398998 0.003065161 0.004990949 0.0037700448 0.0037070904 0.0035832454 0.0041436437 0.0031384358 0.0035646688 0.0034759133 0.005167428 0.0036173027 0.0036461998 0.0033293634 0.003923819 0.0033819976 0.0033592926 0.0035378356 0.0046493434 0.003647232 0.0038071983 0.0035110025 0.004108554 0.0033892218 0.0036926419 0.0037875895 0.0059043053 0.0036338153 0.0033386517 0.0029557648 0.0040146383 0.0030579367 0.0032705371 0.0030341998 0.00496618 0.003170429 0.003192102 0.0030496803 0.003574989 0.0028525605 0.0031033466 0.003189006 0.00451105 0.003293242 0.0032230632 0.0031363717 0.0038876974 0.0033355555 0.0032880818 0.0036276232 0.0046245744 0.003295306 0.0034779774 0.003166301 0.004031151 0.0032003582 0.0034645607 0.0033469081 0.008624764 0.0045967093 0.0040156706 0.0035295794 0.0043665646 0.0034501122 0.0030114949 0.0033819976 0.0045461394 0.0038402237 0.0029681493 0.0031807495 0.0037411477 0.0028030227 0.0028443043 0.0029856937 0.0052138697 0.0032127427 0.0034882976 0.0030259434 0.0036658086 0.003193134 0.0033149149 0.0032746652 0.0045440756 0.0028453362 0.0030465843 0.0027018827 0.0035099706 0.0032292556 0.0029774376 0.0031466922 0.0050053974 0.003422247 0.0032736333 0.0028040546 0.0037783012 0.0030187191 0.0030610329 0.0031838457 0.0041281627 0.0029960142 0.0031250194 0.0030197513 0.0036565203 0.0028484324 0.0029289315 0.0030465843 0.004659664 0.003113667 0.0038371275 0.0028535926 0.0035646688 0.003166301 0.0029815657 0.0031260513 0.0042582 0.0031570126 0.0033303956 0.0031755893 0.0036431039 0.0032024225 0.0033386517 0.0033386517 0.006708265 0.0040579843 0.0037287632 0.0033355555 0.0041240347 0.003265377 0.0033045944 0.0032364798 0.004327347 0.0033334915 0.0031229553 0.0030744493 0.0036338153 0.0029960142 0.0030837378 0.0028061187 0.00425304 0.0032818895 0.0031012825 0.0029939502 0.0037091544 0.0030290396 0.00293822 0.0029526686 0.0039795493 0.0031116027 0.0027318117 0.0026317039 0.0035388677 0.0029485405 0.0035863416 0.002886618 0.0049568918 0.0032571205 0.0033995423 0.0029774376 0.0038164866 0.0030796095 0.0032055185 0.0029103549 0.0044439672 0.0054502073 0.0034635288 0.0031281156 0.0037906857 0.003093026 0.0032498962 0.003189006 0.004608062 0.0033272994 0.0034170868 0.003038328 0.0037432117 0.0030971542 0.0033262672 0.0032468 0.004356244 0.0030455522 0.0031848778 0.002859785 0.0040136063 0.0030992182 0.0042231106 0.0044996976 0.011630911 0.0 0.0 0.0 0.0 0.0 1.0333995e-06 3.1001985e-06 0.0 1.0333995e-06 2.066799e-06 0.0 0.0 1.0333995e-06 0.0 1.0333995e-06 0.0020450975 4.133598e-06 2.066799e-06 6.200397e-06 5.166997e-06 1.0333995e-06 3.1001986e-05 1.1367394e-05 0.0 0.0 1.0333994e-05 0.0 0.0 0.0 0.0 0.0 0.0009471106 2.5834986e-06 6.200397e-06 1.2917493e-05 9.300596e-06 5.683697e-06 5.1669973e-05 2.2734788e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028526993 3.5652283e-05 2.7901786e-05 1.0850695e-05 2.2218088e-05 3.4618883e-05 4.236938e-05 1.808449e-05 3.5652283e-05 5.166997e-06 9.817295e-06 1.6017691e-05 2.6351687e-05 7.233796e-06 1.7051092e-05 1.2917493e-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 0.00087683945 1.18840935e-05 1.2400794e-05 8.267196e-06 1.34341935e-05 1.6017691e-05 1.34341935e-05 1.1367394e-05 1.0850695e-05 1.34341935e-05 6.7170968e-06 1.34341935e-05 1.18840935e-05 1.0333994e-05 1.808449e-05 9.817295e-06 0.001619337 6.510417e-05 5.6836972e-05 4.8569775e-05 4.7536374e-05 3.0485284e-05 2.2734788e-05 0.0005528687 2.9968585e-05 1.7051092e-05 1.963459e-05 0.00027643435 2.0667989e-05 0.00027333415 1.6534392e-05 7.750496e-05 0.0007404307 3.7202382e-05 3.4102184e-05 2.0667989e-05 2.2218088e-05 1.7051092e-05 1.3950893e-05 1.18840935e-05 1.6534392e-05 2.2734788e-05 1.911789e-05 1.756779e-05 6.7170968e-06 4.650298e-06 2.2734788e-05 5.0636572e-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 0.0013139674 3.7202382e-05 4.2886077e-05 5.993717e-05 4.236938e-05 3.1518684e-05 9.1455855e-05 5.838707e-05 3.926918e-05 5.735367e-05 4.3919477e-05 4.2886077e-05 7.802166e-05 7.7504965e-06 8.783895e-06 0.00016069361 0.0011651579 6.9237765e-05 4.5986275e-05 4.5986275e-05 3.823578e-05 3.771908e-05 4.7536374e-05 5.993717e-05 5.2186675e-05 5.0636572e-05 6.820437e-05 5.1669973e-05 7.492146e-05 1.4467592e-05 4.3919477e-05 0.00025059938 0.004565559 0.00029141866 0.00027281747 0.00026558366 0.00030485285 0.00023768187 0.00032862104 0.00030330275 0.00032500413 0.0003508391 0.00032397074 0.0003523892 0.00051773316 0.00015707672 0.00018756201 0.0007393973 0.0031864874 0.00027281747 0.00029968584 0.0002480159 0.00028780175 0.00028160136 0.00034205522 0.00093057624 0.000406126 0.00035032243 0.00032345403 0.0006670594 0.00046141286 0.00043402778 0.00017412781 0.00085823826 0.0022440269 0.00018136161 0.00028935185 0.00024439898 0.00029761906 0.00029400215 0.00028470156 0.0004014757 0.00044177828 0.00032190394 0.00024543237 0.00031622025 0.00045934608 0.00016121032 0.0001891121 0.0010354663 0.00034360532 5.4253473e-05 4.2886077e-05 4.4952878e-05 5.4253473e-05 4.8053076e-05 5.3220072e-05 5.1669973e-05 7.027116e-05 4.8053076e-05 3.823578e-05 4.9086473e-05 4.4436176e-05 2.6351687e-05 4.185268e-05 4.7019676e-05 0.09904772 0.062003966 0.06248243 0.055327173 0.060631614 0.059549645 0.054995455 0.05448237 0.06048642 0.05317977 0.052194424 0.052964307 0.056457713 0.05059679 0.056707278 0.053866465 4044.0 5.7017803 23058.0 0.017174082 0.010538641 0.00941105 0.008673779 0.013487726 0.012490242 0.011839708 0.011492757 0.012533611 0.009844739 0.008543672 0.008847254 0.013791309 0.010495272 0.011709602 0.009888108 0.016697025 0.011926446 0.0087605165 0.007502819 0.009888108 0.008587041 0.007936508 0.008370196 0.010321797 0.008500303 0.009584526 0.008890623 0.011406019 0.00902073 0.0096278945 0.009237574 0.018214935 0.010798855 0.010365166 0.00902073 0.010842224 0.008890623 0.010712117 0.008283459 0.014224998 0.011622864 0.009714632 0.008933992 0.011536126 0.009324312 0.011666233 0.009541157 0.014788793 0.009541157 0.009974846 0.00902073 0.012099922 0.009324312 0.0096278945 0.009714632 0.01374794 0.0091942055 0.01058201 0.009497788 0.011102437 0.009758001 0.010365166 0.010625379 0.017867984 0.011015699 0.0096278945 0.008196721 0.013010669 0.00824009 0.009324312 0.008283459 0.015352589 0.009237574 0.008847254 0.008717148 0.01136265 0.008153352 0.010018215 0.0078064012 0.013140775 0.007979877 0.008673779 0.0087605165 0.01136265 0.00941105 0.008326828 0.007979877 0.011145806 0.008890623 0.011969815 0.008543672 0.011232544 0.009064099 0.010018215 0.0087605165 6.554841 0.0 0.0 0.0 14.0 968954.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0