Input: 0.28983468 0.010128997 0.0024981832 0.0039516715 0.01948583 0.0021348111 0.001771439 0.0011355378 0.0069494913 0.0006359012 0.0014989099 0.00049963663 0.0048601017 0.00059047964 0.00054505817 0.005859375 0.0037699854 0.00049963663 0.0006359012 0.00045421513 0.0029523983 0.0042242007 0.0008630087 0.00090843026 0.0035882995 0.0008175872 0.0003179506 0.00068132265 0.0035882995 0.00068132265 0.0003179506 0.00059047964 0.010810319 0.00045421513 0.00068132265 0.0003179506 0.030523255 0.0026344478 0.0019985465 0.001771439 0.004451308 0.0019077035 0.0003179506 0.00049963663 0.0026344478 0.0014534884 0.0032703488 0.0003633721 0.005314317 0.0078579215 0.0029978198 0.0016805959 0.0042242007 0.0031795057 0.0016351744 0.0024981832 0.0035882995 0.0037245639 0.00240734 0.002316497 0.0033157703 0.0029978198 0.0011809593 0.00054505817 0.004315044 0.0030432413 0.00090843026 0.0074945493 0.015397892 0.004178779 0.002316497 0.0037245639 0.0016351744 0.003542878 0.00049963663 0.0015443314 0.0033611918 0.0032249272 0.004178779 0.00090843026 0.0075853923 0.0013172239 0.0018168605 0.0050872094 0.004087936 0.0026344478 0.0031795057 0.0012263808 0.0006359012 0.00018168605 0.0031340844 0.0031340844 0.002316497 0.0014534884 0.0019985465 0.006404433 0.0015897529 0.0076762354 0.0012263808 0.005950218 0.008766352 0.0143986195 0.0032703488 0.0063135903 0.001953125 0.007267442 0.0010901163 0.018077761 0.0072220205 0.004451308 0.005223474 0.006586119 0.0039516715 0.00059047964 0.0075853923 0.004723837 0.01685138 0.0065406975 0.004087936 0.00090843026 0.0018168605 0.0013626453 0.00022710756 0.00045421513 0.0019077035 0.0004087936 0.00049963663 0.0003179506 0.0047692587 0.0028615552 0.0042242007 0.01503452 0.0032249272 0.0065406975 0.0010901163 0.0018622819 0.0026798693 0.022847021 0.00018168605 0.017441861 0.0004087936 0.008584666 0.0007267442 0.0003633721 0.013399346 0.00013626454 9.084302e-05 0.00018168605 0.00059047964 9.084302e-05 0.00018168605 0.00018168605 0.0007267442 9.084302e-05 0.00013626454 0.00022710756 0.0007721657 0.00022710756 0.00013626454 0.0003633721 0.0011809593 0.0021802327 0.00013626454 0.00059047964 0.00068132265 0.00013626454 0.00013626454 0.00013626454 0.0008630087 4.542151e-05 9.084302e-05 0.00018168605 0.00049963663 9.084302e-05 4.542151e-05 0.00013626454 0.0010901163 0.00022710756 0.00018168605 9.084302e-05 0.0013172239 9.084302e-05 0.0014534884 0.0008630087 0.0021348111 0.0003633721 0.0007267442 0.0008175872 0.001771439 9.084302e-05 0.0003179506 0.0008630087 0.0056322673 0.0009992733 0.002043968 0.004632994 0.0031795057 0.00095385173 0.0013172239 0.010855741 0.0012718023 0.0010901163 0.0003633721 0.00059047964 0.0007267442 0.00018168605 0.00045421513 0.00022710756 0.0019077035 0.00027252908 0.0012263808 0.0012718023 0.00095385173 0.00022710756 0.00045421513 0.0008175872 0.0010901163 0.0014534884 0.0004087936 0.0011809593 0.0003179506 0.00018168605 0.0003633721 9.084302e-05 0.0009992733 0.00022710756 0.00022710756 0.00027252908 0.0004087936 0.00049963663 0.0003179506 0.0003179506 0.0074945493 0.0021802327 0.0004087936 0.0018622819 0.0071311775 0.0004087936 0.00018168605 0.00027252908 0.0192133 0.0012263808 0.00027252908 0.00049963663 0.0006359012 0.00018168605 0.0015897529 0.0004087936 0.0015897529 0.00027252908 0.0008175872 0.0010901163 0.0008630087 0.0007267442 0.0019077035 0.018259447 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03581543 0.0005126953 0.00068359374 0.0063476562 0.0005126953 0.0005371094 0.00092773436 0.00095214846 0.0010009765 0.00041503907 0.0003173828 0.0001953125 0.000390625 0.00041503907 0.00036621094 0.00061035156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.055078126 0.0003173828 0.0044433596 0.0017089844 0.0038330078 0.0031982423 0.018676758 0.00847168 0.0020263672 0.0005859375 4.8828126e-05 0.00024414062 0.00012207031 7.324219e-05 0.00017089843 0.0010009765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06938477 0.0019042969 0.012231445 0.0053466796 0.0063720704 0.0048095705 0.015844727 0.007861328 0.0071289064 0.003076172 0.0006347656 0.0016601563 0.0036621094 0.0012939454 0.002416992 0.0063720704 0.05690918 0.0037353516 0.005834961 0.011962891 0.02229004 0.014379883 0.047509767 0.0220459 0.009472656 0.0009033203 0.0006591797 0.0011962891 0.0008544922 0.0005859375 0.0007568359 0.0009033203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07509766 0.011254882 0.02998047 0.008740234 0.020581055 0.015771484 0.010498047 0.009277344 0.04914551 0.0036376952 0.0014160157 0.0053466796 0.01875 0.0059082033 0.01171875 0.022875976 0.041552734 0.007421875 0.01418457 0.0052490234 0.009741211 0.009838867 0.013183594 0.006225586 0.029785156 0.009228515 0.00390625 0.0041015623 0.012426758 0.004174805 0.00847168 0.020507812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 18.086206 4196.0 0.040514775 0.0007149666 0.001191611 0.00047664443 0.001191611 0.007864633 0.0 0.0 0.005481411 0.005481411 0.00023832222 0.001191611 0.0035748333 0.005958055 0.015729265 0.0007149666 0.012154433 0.01835081 0.0107245 0.0050047664 0.009771211 0.010962822 0.0052430886 0.008102955 0.008341277 0.0061963773 0.009532888 0.0038131555 0.0033365109 0.005481411 0.0021449 0.00047664443 0.0007149666 0.013822689 0.0026215443 0.02049571 0.014299333 0.014299333 0.0071496665 0.01406101 0.001191611 0.0147759775 0.00095328887 0.0028598665 0.0028598665 0.014299333 0.02049571 0.0038131555 0.015490944 0.001191611 0.0035748333 0.0107245 0.0066730217 0.0073879887 0.005958055 0.0007149666 0.0007149666 0.00023832222 0.013107722 0.0019065777 0.00047664443 0.0021449 0.0014299332 0.026692087 0.0007149666 0.04003813 0.005481411 0.030981887 0.033126786 0.074118204 0.008817921 0.016444232 0.008341277 0.03741659 0.005481411 0.0028598665 0.030981887 0.02264061 0.027407054 0.033365108 0.014299333 0.0014299332 0.0343184 0.019065777 0.051477596 0.0147759775 0.0147759775 0.0026215443 0.0028598665 0.0061963773 0.00095328887 0.0 0.0 0.0007149666 0.00095328887 0.00023832222 5.7153587 0.0 0.0 0.0 9.0 22016.0 49152.0 0.0 37.0 64.0 1.0 0.0 0.0 1.0 0.0 1540925400.0 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 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 11776.0 1024.0 4096.0 9.0 1.0 0.0 1.0 5.0 0.0 0.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 -11776.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2660353 0.0 0.0 -6.4850473 0.0 0.0 -1.4145502 0.0 0.0 0.0 0.0 0.0 5.2605743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2483733 0.0 0.0 0.0 0.0 0.0 5.438949 0.0 0.0 -6.172495 -5.196479 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -832.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 1748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2020.0 0.0 0.0 -28.0 0.0 0.0 0.0 0.0 0.0 1493.0 0.0 0.0 -11364.0 -2688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1493.0 28672.0 2688.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 832.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 40964.0 0.0 0.0 0.0 0.0 288.0 33236.0 0.0 0.0 0.0 0.0


Input: 0.0569771 0.008317597 0.006185627 0.005658881 0.005762981 0.004969738 0.0042004385 0.0054309014 0.005057182 0.0056338967 0.0037476032 0.0044710985 0.004956205 0.0031688067 0.0043295226 0.0046387 0.005045731 0.0037642592 0.004933303 0.0041567166 0.0043534655 0.0031740116 0.0041098716 0.00383817 0.005081125 0.0033447358 0.0031636015 0.0029241715 0.0041483883 0.0034363437 0.003791325 0.003788202 0.00617834 0.0038173501 0.0034831888 0.0030168204 0.004899991 0.0041681672 0.0038475392 0.003721578 0.004737595 0.0039006302 0.0033280798 0.0030948955 0.0043701218 0.003724701 0.003722619 0.003586248 0.0055214684 0.0039578853 0.0030969775 0.0028919005 0.003678897 0.0030751165 0.0026837003 0.0028533833 0.0041723317 0.0033135058 0.003521706 0.0033374487 0.0040099355 0.0032239796 0.00350505 0.0034488358 0.0066134785 0.0039495574 0.003618519 0.0032198157 0.0041546347 0.0032177337 0.003541485 0.0030647065 0.005005132 0.0037798742 0.003704922 0.003589371 0.0041358965 0.0031271665 0.003551895 0.0034623689 0.0051779384 0.003631011 0.003649749 0.0033312028 0.0039318604 0.0033822118 0.0033634738 0.003540444 0.0046511916 0.003644544 0.00380694 0.0035008858 0.004105707 0.0033811708 0.003689307 0.003787161 0.005921213 0.003626847 0.0033468178 0.0029491554 0.0040130583 0.0030532556 0.0032697837 0.0030334764 0.004970779 0.0031604785 0.0031979547 0.0030480505 0.0035800019 0.0028336043 0.0030844857 0.0031906676 0.0045075337 0.0032853987 0.0032208567 0.0031323717 0.0038870971 0.0033322438 0.0032874807 0.003621642 0.0046314127 0.0032926856 0.0034800658 0.0031625605 0.0040380424 0.0031969137 0.0034654918 0.0033384897 0.008670496 0.0046001826 0.0040182634 0.0035310748 0.0043690805 0.0034353028 0.0030178614 0.0033842938 0.0045377226 0.0038308832 0.0029481144 0.0031844217 0.003726783 0.0027919642 0.0028440144 0.0029824674 0.0052383165 0.0032083646 0.003492558 0.0030178614 0.003665364 0.0031750526 0.0033020547 0.0032635378 0.004541887 0.0028336043 0.0030376406 0.0026941102 0.0035165008 0.0032281436 0.0029845494 0.0031479865 0.0050113783 0.003406155 0.0032739476 0.0027919642 0.0037777922 0.0030095335 0.0030542966 0.0031771346 0.004136937 0.0029907955 0.0031146745 0.0030074515 0.003646626 0.0028304814 0.0029085565 0.0030376406 0.0046782577 0.0031105105 0.00383817 0.0028481784 0.003562305 0.0031490277 0.0029824674 0.0031177977 0.0042535295 0.0031396586 0.0033280798 0.0031698477 0.00365079 0.0031854627 0.0033228747 0.0033405717 0.006732153 0.0040609445 0.00372366 0.0033332848 0.0041171582 0.0032510457 0.0033072596 0.0032250206 0.0043305634 0.0033291208 0.0031063466 0.0030751165 0.003639339 0.0029762215 0.0030771985 0.0027888413 0.0042514475 0.0032739476 0.0030855266 0.0029949595 0.0037122092 0.0030074515 0.0029293764 0.0029377043 0.0039797463 0.0031146745 0.0027242992 0.00263165 0.0035321158 0.0029429095 0.0035800019 0.0028783674 0.004953082 0.0032291848 0.0033936629 0.0029678934 0.00380694 0.0030615835 0.0032031597 0.0029012694 0.0044440324 0.0054548443 0.0034696558 0.0031292485 0.0037840381 0.0030699116 0.0032375127 0.0031906676 0.004610593 0.0033155878 0.0034196877 0.0030407635 0.003738234 0.0030917726 0.0033072596 0.0032447998 0.0043597114 0.0030282715 0.0031792165 0.0028565063 0.0040120175 0.0030865676 0.0042295866 0.004538764 0.011730215 0.0 0.0 0.0 0.0 0.0 1.0422225e-06 3.1266675e-06 0.0 1.0422225e-06 2.084445e-06 0.0 0.0 1.0422225e-06 0.0 1.0422225e-06 0.0020625584 4.16889e-06 2.084445e-06 6.253335e-06 5.2111127e-06 1.0422225e-06 3.1266674e-05 1.1464448e-05 0.0 0.0 1.0422225e-05 0.0 0.0 0.0 0.0 0.0 0.0009551969 2.6055563e-06 6.253335e-06 1.3027781e-05 9.380003e-06 5.732224e-06 5.2111125e-05 2.2928896e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028770552 3.5956677e-05 2.8140008e-05 1.0943337e-05 2.2407785e-05 3.4914454e-05 4.2731124e-05 1.8238894e-05 3.5956677e-05 5.2111127e-06 9.901114e-06 1.6154449e-05 2.6576674e-05 7.2955577e-06 1.7196671e-05 1.3027781e-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 0.0008843258 1.1985559e-05 1.250667e-05 8.33778e-06 1.3548893e-05 1.6154449e-05 1.3548893e-05 1.1464448e-05 1.0943337e-05 1.3548893e-05 6.7744463e-06 1.3548893e-05 1.1985559e-05 1.0422225e-05 1.8238894e-05 9.901114e-06 0.0016331627 6.566002e-05 5.732224e-05 4.8984457e-05 4.7942234e-05 3.0745563e-05 2.2928896e-05 0.00055758905 3.0224453e-05 1.7196671e-05 1.9802228e-05 0.00027879453 2.084445e-05 0.00027566784 1.667556e-05 7.816669e-05 0.0007467524 3.752001e-05 3.4393343e-05 2.084445e-05 2.2407785e-05 1.7196671e-05 1.4070004e-05 1.1985559e-05 1.667556e-05 2.2928896e-05 1.9281117e-05 1.7717783e-05 6.7744463e-06 4.6900013e-06 2.2928896e-05 5.1068902e-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 0.0013251859 3.752001e-05 4.3252236e-05 6.0448907e-05 4.2731124e-05 3.1787786e-05 9.2236696e-05 5.8885573e-05 3.9604456e-05 5.784335e-05 4.429446e-05 4.3252236e-05 7.86878e-05 7.816669e-06 8.858891e-06 0.0001620656 0.0011751059 6.982891e-05 4.6378904e-05 4.6378904e-05 3.8562233e-05 3.8041122e-05 4.7942234e-05 6.0448907e-05 5.2632236e-05 5.1068902e-05 6.8786685e-05 5.2111125e-05 7.556113e-05 1.4591115e-05 4.429446e-05 0.00025273897 0.0046029757 0.00028921675 0.00028452676 0.00026628785 0.00031318786 0.00024231673 0.000341849 0.00030693453 0.00032986343 0.00035331343 0.00032725788 0.00034966564 0.000515379 0.00015320671 0.00018603672 0.00074310467 0.0032136932 0.00027514674 0.00030224453 0.0002501334 0.00029025896 0.00028400563 0.00034497565 0.0009385214 0.00040959346 0.00035331343 0.00032621564 0.00067275466 0.00046535235 0.00043773346 0.00017561449 0.0008655658 0.0022631863 0.00018291005 0.0002918223 0.00024648564 0.00030016009 0.0002965123 0.0002871323 0.00040490346 0.00044555013 0.00032465233 0.00024752785 0.0003189201 0.0004632679 0.00016258672 0.00019072671 0.001044307 0.000346539 5.4716682e-05 4.3252236e-05 4.533668e-05 5.4716682e-05 4.8463346e-05 5.367446e-05 5.2111125e-05 7.087113e-05 4.8463346e-05 3.8562233e-05 4.950557e-05 4.481557e-05 2.6576674e-05 4.2210013e-05 4.7421123e-05 0.09938165 0.06200338 0.06246248 0.055290427 0.060603157 0.059554677 0.05493086 0.05444362 0.060462978 0.05312052 0.05207517 0.052888624 0.056387365 0.050487865 0.056598935 0.053812034 4011.0 5.705061 22883.0 0.017174322 0.010488136 0.009395621 0.008652711 0.013459774 0.0125420615 0.011799152 0.011405847 0.012585762 0.009701525 0.0084779095 0.008609011 0.013896779 0.010531836 0.011799152 0.009920028 0.016824717 0.011886553 0.008696412 0.007516497 0.009832627 0.0084779095 0.007866101 0.008346807 0.010357033 0.008434209 0.009745225 0.008827514 0.01158065 0.009002316 0.009657824 0.009177119 0.018048333 0.010881441 0.010357033 0.009046016 0.01083774 0.008871214 0.010662938 0.008303107 0.014290084 0.01162435 0.009745225 0.009002316 0.0114495475 0.00935192 0.011668051 0.0095704235 0.014814491 0.009614124 0.010007429 0.009002316 0.012061356 0.009395621 0.009526723 0.009876328 0.013721977 0.009220819 0.010488136 0.009526723 0.011143643 0.009876328 0.010400734 0.010706638 0.018004632 0.011012542 0.009701525 0.008172005 0.013110169 0.008259406 0.009395621 0.008346807 0.01547 0.00930822 0.008914915 0.008696412 0.011405847 0.007953502 0.0099637285 0.007866101 0.013241271 0.007953502 0.008783814 0.008740113 0.0114495475 0.009439322 0.008172005 0.007866101 0.010925141 0.008783814 0.011973955 0.008434209 0.011231045 0.008958615 0.0099637285 0.008740113 6.554255 0.0 0.0 0.0 14.0 960614.0 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


Input: 0.05555021 0.0045880033 0.003924771 0.0040600183 0.0042628893 0.0036828867 0.0036568777 0.0037713177 0.004226477 0.0034826167 0.0036412722 0.0034358006 0.003851946 0.0037765196 0.0034358006 0.0041562524 0.0038597486 0.0033161587 0.0034644105 0.0033889841 0.0035216305 0.004647824 0.0034175941 0.0032901496 0.0035762496 0.003560644 0.0033473696 0.0033889841 0.0034670113 0.0034175941 0.0033291632 0.0034123922 0.0046296176 0.0033889841 0.0035164286 0.0033889841 0.0039585833 0.0033525713 0.003480016 0.0032667413 0.0035164286 0.003391585 0.003448805 0.0033811813 0.0033317641 0.0034253967 0.0035424377 0.003391585 0.0034566077 0.0033135577 0.0033837822 0.0035814513 0.0035476396 0.0036906896 0.0033317641 0.0032901496 0.003448805 0.0035736486 0.0034384013 0.0037166986 0.0034930205 0.0035502405 0.0038259367 0.0033473696 0.0052954503 0.0035008232 0.0040938305 0.0034878186 0.0036308686 0.0048376904 0.0034358006 0.0033681768 0.0035684467 0.0038051296 0.0033811813 0.0034644105 0.0037140977 0.0039013631 0.003448805 0.0036334696 0.0046920395 0.0035476396 0.0032875487 0.004132844 0.0033863832 0.0034748141 0.0041874633 0.0042888983 0.003534635 0.0034826167 0.0031314942 0.0034305986 0.0035476396 0.0038961612 0.0033889841 0.0037010931 0.0035476396 0.0041250414 0.003394186 0.0035788505 0.0036542767 0.0046712323 0.003823336 0.0035684467 0.0042056693 0.0040418124 0.004507375 0.0032173241 0.004080826 0.0035138277 0.003981991 0.0040053995 0.0036308686 0.0034982222 0.003981991 0.004013202 0.0048636994 0.005183611 0.0036048596 0.0038727531 0.0036724831 0.0035190296 0.0035476396 0.0034566077 0.0034071906 0.0037192996 0.003508626 0.0037843222 0.0042914995 0.005500922 0.0035710477 0.0041146376 0.00423688 0.003789524 0.0034045896 0.0035788505 0.004439751 0.004268091 0.0035294332 0.005053566 0.0035008232 0.0039949957 0.0034279977 0.004200468 0.0033291632 0.003422796 0.0040340093 0.0033395668 0.0034071906 0.0032953513 0.0033811813 0.0037999277 0.003108086 0.0034071906 0.0032407322 0.0034904196 0.0033291632 0.0033811813 0.0031965168 0.0031861132 0.003594456 0.003391585 0.003760914 0.0034019887 0.0032953513 0.0033395668 0.0033759796 0.0035398367 0.0033447687 0.003248535 0.003134095 0.0035008232 0.0034930205 0.0032069206 0.0033759796 0.003420195 0.0033889841 0.0033863832 0.0031887142 0.0032745441 0.0032979522 0.0033213606 0.003219925 0.003336966 0.0034175941 0.0033499706 0.0032251268 0.0031705077 0.0035476396 0.003929973 0.0035216305 0.003534635 0.0042056693 0.0035996577 0.0035970567 0.0036360705 0.0033187596 0.0033031541 0.003677685 0.003651676 0.003534635 0.0035112267 0.0034722132 0.003818134 0.0033447687 0.0033213606 0.003422796 0.0033707777 0.0032329296 0.0039741886 0.0032407322 0.0036126622 0.003248535 0.0031887142 0.0034123922 0.0034748141 0.003336966 0.003617864 0.0037791205 0.0033733787 0.003508626 0.003477415 0.003365576 0.0035788505 0.0039689867 0.0032615396 0.0034540067 0.0032927506 0.0034175941 0.0031861132 0.0035684467 0.003508626 0.0047648647 0.0036724831 0.0031887142 0.0037245012 0.0036932905 0.0033759796 0.0035138277 0.0035216305 0.0039117667 0.003506025 0.003591855 0.0035216305 0.003706295 0.0035762496 0.003992395 0.004169257 0.0045880033 0.0041406467 0.0034878186 0.003940377 0.003971588 0.0045411866 0.005636169 0.017439093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022638494 3.9166944e-06 1.9583473e-05 0.0 1.3055649e-06 0.0 3.9166944e-06 7.833389e-06 0.00022325158 2.6111297e-06 0.0 0.0 0.0 5.2222595e-06 2.6111297e-06 0.00013969543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010922356 0.00042822526 0.00044389206 0.00030550218 0.000282002 0.0002415295 0.000503948 0.00035641922 0.0006488657 0.0002154182 0.00017625125 0.000108361884 0.00012402867 0.00014491769 0.00013186205 0.0010092016 0.00717669 0.00011619527 0.00014361214 0.00012794536 0.00026894634 0.00032116895 0.0003342246 0.00051308697 0.00095567346 7.05005e-05 7.963945e-05 0.00016841787 0.0001488344 0.00025850185 0.00026633524 0.0024192117 0.0073464136 0.00015666778 0.0005757541 0.00043736422 0.0011449803 0.0010353129 0.0033983854 0.0016632896 0.0003603359 0.00035772476 0.00018277908 6.397268e-05 0.00023108498 7.963945e-05 0.00016319561 0.0015196775 0.010524158 0.0005156981 0.0013525651 0.0007036994 0.00094131223 0.00066975475 0.0023108497 0.002729936 0.003300468 0.0009178121 0.00035119694 0.0006201433 0.000795089 0.00074939424 0.0008655895 0.007411692 0.0070461333 0.00049611466 0.00034989137 0.00022586272 0.00086428394 0.0010705632 0.0013186205 0.0010235629 0.0019753196 0.0012141753 0.0008120613 0.0007820333 0.0007036994 0.0012233142 0.00088908966 0.0067432425 0.0010026738 3.786138e-05 5.0917028e-05 4.1778076e-05 0.00021280706 4.7000332e-05 9.008397e-05 0.000105750754 0.00036816928 9.6611795e-05 4.047251e-05 6.527824e-05 0.000141001 7.180607e-05 9.008397e-05 0.00021150151 0.0048802015 0.00091128424 0.0003459747 0.0006619214 0.0016058447 0.0012311477 0.00081075577 0.00097395136 0.0020184033 0.00018016795 0.0002937521 0.0002676408 0.00086950616 0.00044650317 0.0012063419 0.0020131809 0.01023824 0.0023225998 0.0017403179 0.0021084873 0.0041308072 0.0033853296 0.002103265 0.0027429918 0.004646505 0.0005026425 0.0010797022 0.00066322694 0.0020797648 0.0009883125 0.0021254595 0.0045968937 0.051347867 0.051448394 0.051422283 0.051439255 0.0511455 0.051171616 0.051044974 0.05122906 0.050494026 0.050841305 0.051424894 0.051406614 0.0517552 0.051481035 0.05141445 0.051789146 1866.0 7.859593 14666.0 0.02591027 0.0072957864 0.0114550665 0.0076367105 0.006750307 0.0064093824 0.006000273 0.005863903 0.008795855 0.006136643 0.006682122 0.0064093824 0.007432156 0.011182327 0.011659621 0.00831856 0.008250375 0.008795855 0.009273149 0.0076367105 0.011932361 0.009954998 0.006136643 0.005863903 0.006613937 0.005932088 0.0070230467 0.006750307 0.008523115 0.0070912316 0.013909724 0.006818492 0.0063411975 0.009409519 0.006136643 0.009477704 0.01275058 0.009954998 0.009000409 0.011182327 0.0097504435 0.014250648 0.0065457523 0.00845493 0.012068731 0.008523115 0.007909451 0.009818628 0.011523251 0.00831856 0.008386745 0.01288695 0.0080458205 0.0070230467 0.0077730804 0.015205236 0.006613937 0.006068458 0.0056593483 0.0053184237 0.008114005 0.01302332 0.0064775674 0.008523115 0.010159553 0.021887358 0.009545889 0.011250512 0.013773354 0.03538797 0.008250375 0.010909587 0.00886404 0.019432701 0.013364244 0.006954862 0.018409928 0.010909587 0.020591846 0.02052366 0.010295923 0.00872767 0.020864585 0.024887495 0.023523796 0.01622801 0.0114550665 0.014250648 0.009136779 0.011864176 0.010841402 0.0072276015 0.0053184237 0.005250239 0.009204964 0.0057275333 6.437396 0.0 0.0 0.0 6.0 384481.0 405504.0 0.0 0.0 166.0 0.0 1.0 0.0 0.0 0.0 1469408100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 51200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2252626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.982401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4740334 0.0 6.273098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24925.0 0.0 51024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34052.0 51024.0 352256.0 0.0 0.0 13480.0 28399232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.1420738 0.008608353 0.0041752127 0.0034150684 0.006224998 0.0039383653 0.0020237442 0.001955542 0.007863089 0.0015066478 0.001697614 0.0015016877 0.004562105 0.0013690034 0.001227639 0.0038800833 0.0061481153 0.0015016877 0.0011842377 0.0008940684 0.0024651983 0.0019778628 0.0007663443 0.0008246262 0.002302753 0.0007539439 0.00082958635 0.00071054255 0.0016145313 0.0006038992 0.00059397885 0.000565458 0.0038825632 0.00058653863 0.00065226073 0.00054313726 0.004156612 0.0013181618 0.00046501477 0.00056173786 0.0011842377 0.0006535007 0.0005840585 0.00094367 0.0011061152 0.0023436744 0.0006770615 0.0005183365 0.0054946146 0.003088938 0.0031372996 0.010472133 0.0032575834 0.0023263139 0.0026995658 0.0019481019 0.0037548393 0.0024019564 0.0007155027 0.0014843271 0.001669093 0.000977151 0.0004662548 0.0005294968 0.011791535 0.003934645 0.004909316 0.008841481 0.003875123 0.032613035 0.003273704 0.0027132062 0.0033890277 0.0035539528 0.0021923897 0.0023585549 0.0027144463 0.0043946994 0.0011619169 0.0015339287 0.009074608 0.0021477481 0.0020597053 0.009772751 0.003210462 0.01386116 0.0032278225 0.0020993866 0.0019295013 0.006525087 0.0027466873 0.0032650237 0.0015686498 0.0046451874 0.0023821157 0.0036109947 0.0057748635 0.0045869057 0.0017707762 0.003403908 0.009301536 0.0063514817 0.0039817663 0.0017472155 0.007915172 0.0043934598 0.0036915971 0.0015314487 0.0035415525 0.0018997403 0.0044678617 0.004196293 0.0031683007 0.0018761796 0.0049303966 0.004062369 0.010246445 0.0057252618 0.0018340183 0.0013020413 0.0028545707 0.0012660802 0.00053197687 0.0005914988 0.0016566926 0.0025234802 0.0010651938 0.00087670784 0.005255287 0.0011606768 0.0010912346 0.009083289 0.0031286194 0.0032340228 0.001036673 0.0006200197 0.0026685647 0.015222724 0.002238271 0.051843565 0.0011991181 0.01102519 0.0008593473 0.00068202167 0.0026623646 0.00044517414 0.00072914315 0.00064730056 0.0011259557 0.0009387098 0.0015153281 0.0005691781 0.0011767973 0.00059025874 0.00050097593 0.00071426266 0.00095855043 0.00047741516 0.0004662548 0.00042037334 0.00089902856 0.003336946 0.00046749486 0.0025569613 0.0014272854 0.000819666 0.000565458 0.00045385442 0.0010490733 0.00045881458 0.0005108962 0.0004885755 0.00084942696 0.00045137433 0.00074402365 0.00065970095 0.0013280822 0.00068698183 0.0017348151 0.0005381771 0.00088042795 0.00067210133 0.00071426266 0.0015835303 0.0031583803 0.0025408408 0.004662548 0.00082586624 0.0010031918 0.00048113527 0.0008556272 0.00071674277 0.012027142 0.0011519965 0.0022928328 0.010375409 0.0043686586 0.0010614737 0.0035663533 0.0033766273 0.0018749395 0.0017695362 0.0009858313 0.0013057615 0.0016864536 0.00089530845 0.0009945115 0.00094491 0.0028818515 0.0011532366 0.0029822947 0.0013566031 0.0018178978 0.0007700645 0.0016083311 0.0008779479 0.0033766273 0.00065598084 0.0010887546 0.001791857 0.0015004476 0.0007204629 0.0005642179 0.00084446685 0.0024453576 0.00065970095 0.00088042795 0.0009932716 0.0024391576 0.0024379175 0.00055181753 0.0006956621 0.027680159 0.006041472 0.0010961948 0.005914988 0.006549888 0.0010453532 0.00068202167 0.00075642404 0.0072616707 0.0009796311 0.0018216178 0.0009213493 0.009161411 0.0021762692 0.0041070106 0.0026003625 0.010093921 0.0030616573 0.003081498 0.003622155 0.014927594 0.0040065674 0.004312857 0.0691136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001780425 0.0 0.0 0.0005187212 0.00024538307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011889586 0.0 0.0 0.0058457083 0.0038932043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012169757 0.0 0.0 0.0007771499 0.00055040355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055226724 3.7273378e-06 1.8015466e-05 6.709208e-05 0.00014909351 7.5789205e-05 6.2122294e-06 7.4546756e-06 1.5530573e-05 0.0 0.0 1.8636689e-06 8.075898e-06 3.1061147e-06 4.9697837e-06 0.00035906688 0.006107243 0.00020624603 0.0002137007 0.000551646 0.0019139879 0.0004889025 0.0024513458 0.0010666398 0.00019506401 0.00010063812 9.256222e-05 7.5167976e-05 0.00067278446 0.00038080968 0.00040131004 0.0028936565 0.013345733 0.00064234453 0.000947365 0.0020848243 0.0041361023 0.0036148964 0.0069781975 0.003214829 0.00045473521 0.00023606472 0.0003112327 0.00033111183 0.0020860666 0.0011063981 0.0011237924 0.009004626 0.02080662 0.0013051894 0.0012356124 0.002081718 0.0073291888 0.0025656507 0.006702996 0.0032620418 0.002396057 0.0009765625 0.0009784262 0.0013381143 0.004065283 0.0026544856 0.0026787135 0.009597895 0.020260565 0.0015648607 0.0012536279 0.0022718124 0.009445074 0.004051616 0.0058966484 0.0034142414 0.005822723 0.0014163883 0.0017822887 0.002309707 0.003870219 0.0017760765 0.004052859 0.009691699 0.07419204 0.009840793 0.0072981273 0.010105434 0.042163644 0.030677233 0.021355782 0.013986214 0.05159878 0.0053040017 0.0060699694 0.009164902 0.01682831 0.007090639 0.027507752 0.06121842 0.060404614 0.010154511 0.009140675 0.011700113 0.028188612 0.03068096 0.017714173 0.014645953 0.04994198 0.0058997544 0.0064986134 0.009172978 0.021150779 0.0109645855 0.02514462 0.04864797 0.00023420106 4.7834168e-05 8.6349995e-05 5.2182728e-05 9.069855e-05 9.939567e-05 4.348561e-05 6.5849636e-05 0.00013480538 2.919748e-05 3.354604e-05 2.919748e-05 8.4486324e-05 6.0258626e-05 7.330431e-05 0.00010747157 5347.0 16.14999 86354.0 0.005419552 0.00012738263 0.0005558515 9.2641916e-05 0.003335109 0.00056743174 0.00012738263 0.0001737036 0.00039372814 0.00040530838 0.0007295551 0.000579012 0.0004979503 0.014185794 0.0011232832 0.00046320958 0.023009935 0.020253839 0.024561688 0.015262756 0.020161197 0.017659865 0.021342382 0.01400051 0.023345763 0.01785673 0.000822197 0.00050953054 0.00094957964 0.000532691 0.000115802395 0.00013896287 0.001354888 0.008488315 0.007365032 0.014440559 0.007098687 0.016050212 0.004701577 0.0030571832 0.0048984415 0.017509323 0.0024434305 0.0039720223 0.0067860205 0.0066354773 0.0044120713 0.009171549 0.012842486 0.002605554 0.005952243 0.020369641 0.013004609 0.006230169 0.0058711814 0.0034740719 0.0027676772 0.00532691 0.0015170113 0.0029761216 0.001158024 0.0027792575 0.0028950598 0.022083517 0.00025476527 0.03191514 0.012877226 0.027780995 0.025847094 0.05421868 0.0114528565 0.011753943 0.018806309 0.035632398 0.0070871064 0.007955625 0.023855293 0.01305093 0.037589457 0.035064965 0.018331518 0.004168886 0.038319014 0.02998124 0.04101721 0.012263474 0.010769622 0.0074113533 0.013664682 0.0066470574 0.0010422216 0.000289506 0.00054427126 0.00025476527 0.00030108623 0.00031266647 5.78115 0.0 2.0 14.0 4.0 806426.0 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 -6.584079 0.0 0.0 0.0 0.0 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


Input: 0.13521332 0.0068348367 0.0069127157 0.0047283866 0.009223135 0.0034378152 0.0032783481 0.003126298 0.0062637217 0.0033117249 0.0034600664 0.0029927907 0.0045540854 0.0032412626 0.003092921 0.004324156 0.004580045 0.0042574024 0.0029112028 0.0027035247 0.003504569 0.0037715838 0.0027665698 0.002837032 0.0033784786 0.0029705393 0.0028518662 0.0025885599 0.0034786093 0.0025180976 0.0026775647 0.0027369014 0.00418694 0.0027331929 0.0030484188 0.0026182283 0.009983386 0.0026849818 0.0028110722 0.0027776954 0.0032449712 0.0028629918 0.0027146502 0.002636771 0.00355278 0.0026886906 0.003029876 0.002595977 0.003497152 0.003207886 0.0032672225 0.0028704088 0.0031708004 0.0027220673 0.0028444491 0.0024773038 0.003181926 0.0026738562 0.00289266 0.0026256454 0.004216608 0.002788821 0.002796238 0.002610811 0.004876728 0.004064558 0.005907702 0.0038680057 0.0063341837 0.004613422 0.0040682666 0.003092921 0.0034378152 0.003382187 0.0027776954 0.0030224589 0.0035898653 0.0031856345 0.0030817955 0.0034192726 0.004717261 0.0034749005 0.0037233727 0.003994096 0.0036009909 0.0031151723 0.003263514 0.0030595444 0.0028333236 0.0027665698 0.0026182283 0.0027220673 0.0030966296 0.0030187503 0.0029149114 0.00274061 0.0033228504 0.0033784786 0.0027628613 0.00304471 0.0035342372 0.0046653417 0.0030817955 0.0030669614 0.0030187503 0.0037270812 0.0025885599 0.0024698866 0.0039421767 0.0028481577 0.0034489408 0.003415564 0.003126298 0.0026886906 0.0035231116 0.003511986 0.005173411 0.0036343678 0.00274061 0.0029668307 0.0031782174 0.0030521273 0.002514389 0.0024884294 0.002981665 0.0030076248 0.002629354 0.0028296148 0.0039607193 0.0035305286 0.0033413933 0.005199371 0.0031485492 0.005440426 0.0027109417 0.0026478965 0.0031114637 0.008900492 0.0027851125 0.005844657 0.0031411322 0.0039087995 0.0029557052 0.0028815344 0.003078087 0.0029927907 0.0028889515 0.0028444491 0.0028444491 0.0029371625 0.0025551831 0.002796238 0.0029149114 0.0028184892 0.0028221977 0.0027999466 0.0025922684 0.0029445796 0.0029668307 0.0030224589 0.0033858956 0.0054849284 0.002796238 0.0029742478 0.002748027 0.0027925295 0.0028592832 0.0027925295 0.0027628613 0.0028407406 0.0031633833 0.002629354 0.0024402183 0.0026775647 0.0027702784 0.002940871 0.0026738562 0.002692399 0.0025996855 0.0027999466 0.0028704088 0.0026775647 0.0028963685 0.0029927907 0.002796238 0.002837032 0.0029779566 0.0029853736 0.0032449712 0.0031708004 0.0030410015 0.0028333236 0.005410758 0.0032746396 0.0030039162 0.0031448407 0.0028259063 0.002803655 0.003237554 0.006612324 0.0030150418 0.003270931 0.0027665698 0.002796238 0.002636771 0.002803655 0.0032857652 0.0029631222 0.003842046 0.0030521273 0.002981665 0.0035008604 0.0031856345 0.0030743785 0.002781404 0.0030966296 0.002981665 0.0030892126 0.0028815344 0.0030669614 0.002926037 0.0029074943 0.0031300066 0.002926037 0.0031151723 0.0028259063 0.0031003382 0.0030558358 0.0028704088 0.0031967603 0.0029557052 0.002981665 0.0047209696 0.0032486797 0.0029779566 0.0034860263 0.0038717142 0.0030113333 0.0028629918 0.00291862 0.0031485492 0.0027109417 0.0028889515 0.0028259063 0.0027331929 0.0026145196 0.0028555747 0.0029742478 0.0031374237 0.00307067 0.002748027 0.0032115944 0.0029594137 0.0027851125 0.004324156 0.023771731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010265089 3.7273378e-05 4.8455393e-05 7.4546755e-05 3.9137045e-05 6.709208e-05 8.200143e-05 2.9818702e-05 0.00028141402 7.2683084e-05 7.827409e-05 6.895575e-05 9.877445e-05 7.081942e-05 5.5910066e-05 8.013776e-05 0.009623986 5.7773737e-05 5.40464e-05 0.00017704854 7.4546755e-05 7.081942e-05 9.877445e-05 0.00017518488 5.9637405e-05 4.2864383e-05 8.200143e-05 6.709208e-05 6.895575e-05 0.0003354604 6.895575e-05 0.00039323414 0.0030433713 1.4909351e-05 5.591007e-06 1.8636689e-06 1.3045682e-05 1.3045682e-05 1.4909351e-05 3.540971e-05 4.1000716e-05 4.4728054e-05 3.7273378e-05 4.4728054e-05 6.150107e-05 0.00012113848 0.00011927481 0.00020500358 0.028413495 0.0004062798 0.0006261927 0.00034291507 0.0012691586 0.0015561635 0.0006616025 0.00040068882 0.0007547859 0.0002161856 0.0002217766 0.00029259603 0.00035223342 0.00041932552 0.0004957359 0.0017388031 0.021333417 0.00032800573 0.00065601146 0.00033918774 0.0010846553 0.0013157502 0.00096910784 0.00049014494 0.0005926467 0.00015841186 0.000115547475 0.00017518488 0.00032614206 0.00015282085 0.0003354604 0.0021618558 0.0075739506 8.945611e-05 9.131977e-05 7.4546755e-05 0.00021432192 0.00024414062 0.00022923127 0.00020127624 0.00022736761 0.00015841186 0.00017332121 0.00021432192 0.00033173306 0.00038205212 0.0003764611 0.0008684697 0.008742471 0.00025532264 0.00022550393 0.0009169251 0.0009392891 0.000534873 0.002482407 0.0014163883 0.00018636689 0.00018077588 0.00057773734 0.00024414062 0.00039696146 0.00065042044 0.00028514134 0.0010492456 0.0075963144 0.00036341543 0.00054232765 0.00054419134 0.0011014283 0.0005926467 0.002808549 0.0015226175 0.0004957359 0.00015095717 0.001395888 0.00014909351 0.0002515953 0.0009336981 0.0002217766 0.0004137345 0.013226458 0.00059637404 0.00087219704 0.0007585132 0.0014965261 0.00092997076 0.0017667582 0.0010250179 0.002752639 0.00063364743 0.0013381143 0.001108883 0.0015244811 0.0010436546 0.0014853441 0.00760936 0.0036602458 0.00036155176 0.0004789629 0.0005218273 0.0008032413 0.0003485061 0.00021059459 0.00021432192 0.0009802899 0.00030191435 0.00028141402 0.00033732408 0.00052555464 0.0007585132 0.00037459744 0.0012915225 0.03059399 0.004895858 0.0077789538 0.0024376789 0.009221434 0.0058221016 0.0019400793 0.0034198323 0.01320223 0.0015934369 0.0017276211 0.0020668088 0.0066141607 0.0028532771 0.0051567717 0.011362789 0.012794087 0.002775003 0.002396678 0.002048172 0.0038745676 0.0021525375 0.0020742635 0.0022755398 0.0034720153 0.0017574398 0.0021134005 0.0020984912 0.0030974178 0.0020910364 0.0020630814 0.0025345897 0.046405356 0.04038384 0.04041925 0.03963651 0.042681746 0.0380468 0.038948815 0.03885377 0.040531073 0.040532935 0.039945878 0.03926937 0.04029252 0.039658874 0.040225428 0.039206002 1077.0 8.675952 9344.0 0.017872432 0.0051369863 0.008989726 0.0038527397 0.0067422944 0.0067422944 0.0050299657 0.007063356 0.005244007 0.0055650687 0.0059931506 0.0046018837 0.0055650687 0.006849315 0.013056506 0.007063356 0.008668665 0.009203767 0.0102739725 0.010166952 0.006635274 0.007491438 0.0063142125 0.006849315 0.007598459 0.007063356 0.009524829 0.0043878425 0.02557791 0.00791952 0.007170377 0.006207192 0.0051369863 0.017123288 0.0059931506 0.014126712 0.011130137 0.010166952 0.008989726 0.012521404 0.007170377 0.010488014 0.0047089043 0.0047089043 0.009417809 0.0072773974 0.008240582 0.007063356 0.00973887 0.0061001712 0.008561644 0.012949486 0.008454624 0.006421233 0.007170377 0.0073844176 0.0057791094 0.00588613 0.005458048 0.00588613 0.005458048 0.004280822 0.005458048 0.005672089 0.0055650687 0.026327055 0.009310788 0.016481165 0.018942637 0.055543665 0.010059931 0.011558219 0.009096746 0.030286815 0.006207192 0.0059931506 0.026862158 0.015946062 0.02514983 0.028467465 0.012093322 0.00588613 0.029751712 0.024828767 0.036601026 0.01369863 0.0077054794 0.008989726 0.008347603 0.00984589 0.0041738013 0.0046018837 0.0055650687 0.005458048 0.004494863 0.0048159244 6.2675705 0.0 1.0 0.0 3.0 269648.0 450560.0 0.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1450221300.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 35840.0 1024.0 4096.0 7.0 1.0 0.0 1.0 5.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35840.0 -5120.0 93184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.306272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9876113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9639635 -5.4079027 6.7601895 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109824.0 0.0 0.0 -224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35532.0 -4760.0 93008.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4760.0 184320.0 93008.0 356352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.16861576 0.008822084 0.005158156 0.0054378975 0.010063862 0.004073306 0.005021697 0.0036912202 0.010596054 0.0017944379 0.0025381404 0.0016579787 0.004878415 0.0018899593 0.0015692803 0.0046327882 0.007007178 0.0015488114 0.0015419885 0.0018490215 0.003097623 0.002265222 0.0010712044 0.001303185 0.0021833465 0.0007437024 0.00092109933 0.0008255779 0.0024562648 0.0010848503 0.0011257881 0.0013100079 0.0035274692 0.00079828606 0.0008938075 0.0006959417 0.007505254 0.0023948583 0.0006208892 0.00057312846 0.0012349554 0.0008801616 0.0010097978 0.0013714145 0.0014942278 0.001132611 0.0013645915 0.0010575585 0.0062293606 0.0024972025 0.0013372997 0.007280096 0.0011462569 0.0010575585 0.0012758931 0.0016306869 0.0013441227 0.0038345023 0.0010097978 0.0026814225 0.0020127725 0.001787615 0.0007437024 0.0007437024 0.01727573 0.0093610985 0.0010984963 0.0073824404 0.008733386 0.014580661 0.0020741792 0.001296362 0.0016920936 0.0010712044 0.0010507355 0.0011462569 0.0017057394 0.0027223602 0.0012213094 0.000975683 0.0065909773 0.001951366 0.0016784476 0.006925302 0.0022993367 0.010043394 0.00496029 0.0029679867 0.001466936 0.0055880025 0.002729183 0.005192271 0.0010916733 0.0039982535 0.003930024 0.0028451735 0.0006208892 0.0023675663 0.00054583664 0.001787615 0.006249829 0.0033705411 0.0051445104 0.0008733386 0.006147485 0.0024903796 0.002933872 0.0011394339 0.0020605333 0.001780792 0.0023334515 0.0033364263 0.0018080838 0.000491253 0.0045031523 0.0047692475 0.010589231 0.0066728527 0.0010029748 0.0015556344 0.00145329 0.0011735487 0.0005185448 0.0008460468 0.00193772 0.0017398542 0.0011530799 0.0017125624 0.0045850277 0.002428973 0.00091427634 0.007784995 0.0032477279 0.0059700883 0.00081193197 0.0006140662 0.0017125624 0.013502633 0.0021560546 0.050871976 0.0014464671 0.009470265 0.00039573156 0.0007095876 0.0036639285 0.00045031522 0.0007778172 0.00047760704 0.0034865316 0.00096886 0.00046396113 0.0004230234 0.0013645915 0.00055265956 0.0019786577 0.0014396441 0.004516798 0.0005185448 0.00045031522 0.0003547938 0.0016033951 0.0023675663 0.0005185448 0.0011257881 0.0008528697 0.005635763 0.0052059167 0.00041620043 0.00091427634 0.00048443 0.00055265956 0.00034114788 0.00083240087 0.00047078409 0.00046396113 0.00044349226 0.00145329 0.00065500394 0.0013645915 0.00068229577 0.0008801616 0.00096886 0.0007300565 0.0011462569 0.0023470975 0.0016033951 0.0019786577 0.00070276466 0.0008665157 0.0003752627 0.00078464014 0.0010097978 0.012042521 0.0013100079 0.0022379302 0.013297945 0.0033023115 0.00078464014 0.0049057067 0.0027018914 0.0016102181 0.0018421987 0.0009893288 0.00094156817 0.0010916733 0.0006277121 0.0012008406 0.0006345351 0.0022174614 0.00079828606 0.0023334515 0.001787615 0.0012144865 0.00048443 0.0017125624 0.001289539 0.004537267 0.00093474524 0.0012486012 0.0026200158 0.0011053191 0.0013441227 0.0007164106 0.0013236539 0.002463088 0.0011735487 0.001473759 0.0011803717 0.0013850605 0.0013918834 0.00057995145 0.000641358 0.02447395 0.005035343 0.0010302666 0.0072391583 0.004605497 0.0006072433 0.00079828606 0.00083240087 0.0056084716 0.0009074534 0.002081002 0.0012281324 0.0039982535 0.0011121421 0.0018831363 0.013250184 0.0063521736 0.0015692803 0.0016306869 0.013229716 0.008801616 0.0017944379 0.0070412927 0.074424826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01176689 0.00017880721 6.8772006e-06 1.3754401e-05 0.0 0.0 6.8772006e-06 2.4070203e-05 0.0 0.002056283 0.0022419675 0.00020631602 1.7193002e-05 1.0315801e-05 8.596501e-05 0.011553697 0.0020872303 0.0 0.0 0.0 0.0 0.0 0.0 0.00027508804 6.8772006e-06 0.0002819652 0.0006911587 8.596501e-05 3.7824604e-05 3.7824604e-05 9.628081e-05 0.003442039 0.018162686 9.284221e-05 0.0001409826 0.0008734045 0.00020287742 0.00017880721 0.0009903169 0.0018293353 0.00016161421 0.0039131274 0.0053917253 0.00040575484 0.00017880721 0.00016505281 0.00040919345 0.016199246 0.013940086 0.00050891284 0.0005054743 0.0012275804 0.0007702465 0.00031978983 0.0015267385 0.0007840009 0.00046764966 0.0007943167 0.0019049846 0.0002647722 0.00038856184 0.00011003521 0.00022694762 0.004428917 0.020074548 0.0012138259 0.00062238664 0.003981899 0.0034867409 0.001196633 0.004036917 0.002331371 0.00067052705 0.0007805623 0.00046077245 0.00031291263 0.0005157901 0.0002647722 0.00042638645 0.0018774758 0.014070753 0.0009937555 0.00046077245 0.0018293353 0.005807796 0.0012172646 0.003132565 0.0020081426 0.0014098261 0.0010178257 0.00041607063 0.00032322842 0.00054673746 0.00025445642 0.00032666704 0.0013960717 0.013472436 0.0013616857 0.0009868783 0.0014201419 0.003373267 0.0019634408 0.0038340394 0.0025617573 0.0031119334 0.0008011939 0.00046421104 0.00043326363 0.0016436509 0.0006327025 0.0012447733 0.0049481457 0.0475696 0.0064026737 0.0053917253 0.007289833 0.017904792 0.015724719 0.0077059036 0.008424571 0.027398767 0.003098179 0.0022522833 0.0031772668 0.011574329 0.005928147 0.013111383 0.028313436 0.09390473 0.018062968 0.01682507 0.018052652 0.040943414 0.042693663 0.019256162 0.021955464 0.07294303 0.00832829 0.007527096 0.011632785 0.03415562 0.017595317 0.038464185 0.07287082 0.0033251266 0.0014751595 0.0014957911 0.0018052652 0.0012241417 0.0012000715 0.002468915 0.001746809 0.0010247029 0.0008149483 0.00085621147 0.00068084284 0.0007014745 0.0007014745 0.0007943167 0.0008115097 578.0 11.557094 6680.0 0.011377245 0.0013473054 0.0008982036 0.0013473054 0.0070359283 0.001497006 0.0008982036 0.0005988024 0.0010479041 0.0013473054 0.0034431138 0.0011976048 0.0010479041 0.0043413173 0.008233533 0.0073353294 0.049101796 0.011826348 0.0076347305 0.0070359283 0.0038922157 0.0034431138 0.0028443113 0.0020958083 0.0034431138 0.0020958083 0.0035928143 0.0034431138 0.0020958083 0.0028443113 0.0023952096 0.0016467066 0.009281437 0.011077845 0.0025449102 0.013622754 0.0046407185 0.018562874 0.0073353294 0.0032934132 0.0035928143 0.007934132 0.0010479041 0.0017964072 0.0055389223 0.0088323355 0.0037425149 0.005988024 0.008083832 0.0068862275 0.0077844313 0.017664671 0.013323354 0.0095808385 0.01272455 0.0074850298 0.0032934132 0.01272455 0.0065868264 0.012275449 0.0025449102 0.010778443 0.011377245 0.017215569 0.0008982036 0.036377244 0.0035928143 0.026047904 0.019311378 0.054341316 0.010778443 0.01002994 0.013323354 0.036676645 0.0017964072 0.0043413173 0.025 0.02245509 0.033233535 0.052994013 0.015419162 0.0001497006 0.065568864 0.03248503 0.059730537 0.009281437 0.0034431138 0.01272455 0.0065868264 0.0076347305 0.0005988024 0.0001497006 0.0008982036 0.0005988024 0.0002994012 0.0016467066 5.723712 0.0 9.0 0.0 4.0 146564.0 339968.0 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 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 110592.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109568.0 0.0 0.0 0.0 0.0 0.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.4751983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -110592.0 0.0 0.0 0.0 0.0 0.0 217088.0 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 0.0 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 0.0 340.0 335872.0 1852.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 330360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.0018022016 2.9962168e-05 2.6259619e-05 1.21329695e-05 6.123447e-06 6.0380034e-06 6.8354757e-06 3.2183698e-06 4.044323e-06 2.0506427e-06 1.10222045e-05 2.1645674e-06 1.7373501e-06 1.908237e-06 5.0981257e-06 9.1139674e-07 6.379777e-06 1.1677271e-05 4.072804e-06 9.028524e-06 1.2816516e-06 1.5095009e-06 1.338614e-06 4.044323e-06 1.5664632e-06 8.5443446e-07 5.126607e-07 3.645587e-06 1.537982e-06 7.974721e-07 8.259533e-07 3.2753321e-06 5.6392673e-06 5.981041e-07 1.2246894e-06 7.120287e-07 9.1139674e-07 4.841795e-07 3.1329262e-07 3.1329262e-07 6.265853e-06 7.974721e-07 1.9651993e-06 0.015641533 1.4810197e-06 7.4050985e-07 4.9557198e-06 0.01565435 0.015551077 0.015553242 0.015560846 0.01557822 0.015603653 0.015606758 0.015583773 0.01557597 0.01560334 0.015583859 5.4114184e-07 3.4177378e-07 6.550664e-07 9.398779e-07 5.6962296e-07 3.4177378e-07 9.968402e-07 0.015549026 0.015579103 0.015549824 0.015576425 0.015550935 0.015566543 0.015580014 0.0155748585 0.0155737195 0.01556247 0.015527951 0.015541508 0.015560675 0.015579786 0.015580099 0.015616015 0.015563723 0.015553384 0.015545011 0.015635466 0.015586935 0.015546378 0.015575315 0.015619517 0.015595336 0.015618919 3.1329262e-07 4.841795e-07 1.7088689e-07 1.1392459e-07 2.6202656e-06 7.4050985e-07 0.015578106 0.015571043 0.0156234475 0.015573463 0.015615416 0.01562322 0.015606359 0.015573378 0.015598213 0.015609749 0.015555378 0.015595109 0.015583688 0.015581011 0.0156114 0.015553583 0.015527552 0.0155867925 0.015590523 0.015608011 0.015546805 0.015625043 0.015593229 0.015560703 0.015581808 0.015553527 8.829156e-07 3.1329262e-07 2.8481148e-07 4.841795e-07 5.126607e-07 2.5633033e-06 5.6962296e-07 1.9936803e-07 0.00020312755 2.9620394e-06 1.4240574e-07 1.4240574e-07 2.5633034e-07 3.4177378e-07 3.7025492e-07 2.5633034e-07 2.8481148e-07 1.9936803e-07 3.1329262e-07 1.7088689e-07 1.7088689e-07 3.8791324e-05 3.4177378e-07 2.2272257e-05 1.8996925e-05 3.4177378e-07 9.000043e-06 2.8481148e-07 1.8484265e-05 2.680076e-05 1.4326018e-05 4.5569837e-07 8.259533e-07 2.2784918e-07 5.6962296e-08 1.9936804e-05 5.6962296e-08 2.28134e-05 1.4240574e-07 1.4610829e-05 7.68991e-07 0.0 2.5633034e-07 2.2784918e-07 5.6962296e-08 3.4177378e-07 1.4240574e-07 1.1392459e-07 1.9936803e-07 1.4240574e-07 5.6962296e-08 2.7626713e-06 5.6962296e-08 3.4177378e-07 2.5633034e-07 8.5443446e-08 8.5443446e-08 2.8481148e-07 5.6962296e-08 2.8481148e-08 1.9936803e-07 3.9873606e-07 1.4240574e-07 5.6962296e-08 2.8481148e-07 2.2784918e-07 2.8481148e-07 2.5633034e-07 5.6962296e-08 6.550664e-07 8.5443446e-08 1.1392459e-07 3.7025492e-07 2.2784918e-07 0.0 5.6962296e-08 4.2721723e-07 3.4177378e-07 2.5633034e-07 2.5633034e-07 5.6962296e-08 1.7088689e-07 2.2784918e-07 1.9936803e-07 5.6962296e-08 1.4810197e-06 1.9936803e-07 9.398779e-07 3.4177378e-07 2.5633034e-07 2.5633034e-07 1.7088689e-07 5.6962296e-07 6.8354757e-07 4.841795e-07 5.6962296e-08 5.6962296e-08 3.4177378e-07 1.1392459e-07 8.259533e-07 5.6962296e-08 6.550664e-07 0.00020252944 3.9873606e-07 8.5443446e-08 5.6962296e-08 5.6962296e-08 2.2784918e-07 1.5949443e-06 1.4240574e-07 1.4240574e-07 1.4240574e-07 0.0 1.9936803e-07 1.1392459e-07 1.9936803e-07 1.3300696e-05 1.3186772e-05 1.32437335e-05 1.4240574e-07 1.1392459e-07 1.7088689e-07 2.8481148e-08 2.3895684e-05 4.5569837e-07 1.1392459e-07 2.8481148e-08 1.4240574e-07 2.5633034e-07 8.5443446e-08 1.7088689e-07 3.7025492e-07 4.4459073e-05 2.8439283e-05 0.0 2.8482004e-08 0.0 5.696401e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.4241002e-08 6.266041e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.5106887e-05 1.4241002e-08 4.2723006e-08 0.0 1.4241002e-08 0.0 0.0 0.0 1.4241002e-08 0.0 0.0 0.0 0.0 0.0 0.0 3.9732395e-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 2.0763382e-05 1.4241002e-08 5.696401e-08 0.0 5.995462e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.995462e-06 2.5505635e-05 2.30277e-05 5.696401e-08 2.9906104e-07 4.414711e-07 9.142724e-06 2.1361504e-07 1.6377153e-06 1.2816902e-06 1.9937403e-07 0.0 2.8482004e-08 5.696401e-08 4.2723006e-08 0.0 3.1330205e-06 1.876964e-05 6.9624264e-05 6.693271e-07 2.1646324e-06 1.3528952e-06 5.995462e-06 6.550861e-07 5.155243e-06 5.183725e-06 5.553991e-07 9.9687014e-08 1.2816902e-07 9.9687014e-08 8.544601e-08 5.696401e-08 2.3070425e-06 2.2529266e-05 3.281127e-05 3.1330205e-07 8.1173715e-07 6.266041e-07 6.1948363e-06 2.2785605e-06 1.6220501e-05 1.1876996e-05 0.00012697278 0.00010337544 2.3141629e-05 2.1361504e-07 1.1392802e-07 5.696401e-08 0.00012774179 1.3899218e-05 6.0566985e-05 7.5904545e-06 4.1441317e-06 2.0079813e-06 6.949609e-06 6.3942102e-06 2.967825e-05 2.1105165e-05 1.4525823e-06 8.6870114e-07 5.696401e-07 7.974961e-07 8.9718316e-07 9.541471e-07 1.1535212e-06 6.978091e-07 0.0015394381 2.1817215e-05 0.03130268 0.15579034 0.23340902 0.17144021 0.23381348 0.17125499 4.60554e-05 3.534617e-05 9.79781e-06 4.2723008e-07 3.5602505e-07 4.984351e-07 4.2993586e-05 9.270892e-06 7.660235e-05 1.704648e-05 8.501878e-06 7.2201883e-06 7.718623e-06 7.704382e-06 1.9794994e-05 2.1261816e-05 2.9194054e-05 2.4622694e-05 7.1774652e-06 1.0965572e-06 1.3671362e-06 2.9621285e-06 2.9080127e-05 1.1392802e-06 3.2754306e-05 4.713772e-06 3.9732395e-06 5.525509e-06 8.131612e-06 6.1948363e-06 1.6875589e-05 1.5479969e-05 6.152113e-06 5.724883e-06 1.5665103e-06 2.9906104e-07 5.553991e-07 2.3070425e-06 5.981221e-06 4.2723008e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 290.0 120548.484 34959060.0 2.288391e-06 2.8604887e-08 6.293075e-07 2.57444e-07 2.8604887e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.015656514 5.7209775e-07 3.1465376e-07 3.80445e-06 0.015649648 0.015595527 0.015594641 0.015606598 0.015611632 0.01564284 0.01564347 0.01561927 0.015609544 0.015629424 0.015606769 2.0023421e-07 2.8604887e-08 3.4325865e-07 8.0093685e-07 3.4325865e-07 5.7209775e-08 2.8604887e-08 0.015603022 0.015601506 0.015603451 0.015624905 0.015603566 0.015617382 0.015632972 0.015614464 0.01562748 0.015613749 0.015580424 0.015587432 0.015612576 0.015628967 0.015628995 0.01564038 0.015617238 0.015604738 0.015598245 0.01568057 0.015640523 0.015596901 0.015628166 0.015657542 0.015648875 0.015668614 0.0 2.288391e-07 0.0 0.0 2.2311813e-06 5.7209775e-08 0.015629882 0.015616237 0.015673991 0.015618212 0.015649248 0.015636347 0.015660118 0.015622931 0.015649306 0.01565225 0.015605253 0.015644614 0.015635202 0.015616323 0.015658917 0.015596157 0.01557722 0.0156224165 0.015638005 0.015653938 0.015593754 0.015645301 0.015640294 0.015602994 0.015627736 0.015592438 0.0 0.0 0.0 0.0 1.1441955e-07 6.000181 1.0 0.0 0.0 8590.0 35110944.0 188416.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1469808500.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 143360.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -143360.0 512.0 12288.0 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 -4.7808776 2.8672953 3.3644502 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 -142884.0 312.0 11856.0 0.0 0.0 0.0 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 150988.0 11856.0 163840.0 0.0 0.0 0.0 0.0 12.0 180224.0 28.0 155648.0 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