Input: 0.2076416 0.011749268 0.009429932 0.010192871 0.02798462 0.008636475 0.0020751953 0.0014648438 0.011291504 0.0026550293 0.002166748 0.0015869141 0.009307861 0.0018005371 0.0009765625 0.0026855469 0.026397705 0.0010986328 0.00088500977 0.0008239746 0.0047912598 0.004058838 0.0011901855 0.0011291504 0.004180908 0.00088500977 0.000579834 0.0011291504 0.003692627 0.00039672852 0.00045776367 0.00045776367 0.002960205 0.0006713867 0.00076293945 0.0006713867 0.029876709 0.0006713867 0.00021362305 0.00039672852 0.002532959 0.00030517578 0.00064086914 0.0017700195 0.0027770996 0.0025939941 0.0018310547 0.0028686523 0.0021972656 0.0007324219 0.00045776367 0.009735107 0.0012207031 0.0010375977 0.0004272461 0.00039672852 0.0015563965 0.001159668 0.00076293945 0.0022888184 0.0018310547 0.0012512207 0.000579834 0.00036621094 0.004425049 0.00091552734 0.0007019043 0.0008544922 0.012268066 0.000579834 0.0025024414 0.0013427734 0.0026855469 0.00091552734 0.0002746582 0.00045776367 0.0073547363 0.000579834 0.00079345703 0.00088500977 0.011779785 0.0056762695 0.0031738281 0.0039978027 0.005065918 0.0022277832 0.011962891 0.0079956055 0.0010986328 0.0011901855 0.00024414062 0.0044555664 0.0020446777 0.0022888184 0.008026123 0.006958008 0.0036315918 0.001159668 0.00015258789 0.00024414062 0.0010070801 0.00039672852 0.0022277832 0.0002746582 0.0052490234 0.00036621094 0.008270264 0.0002746582 0.0014038086 0.00039672852 0.00048828125 0.00048828125 0.0010070801 0.0004272461 0.00061035156 0.0007019043 0.011383057 0.00894165 0.0005493164 0.0007019043 0.0013427734 0.00030517578 0.00018310547 0.00045776367 0.0028381348 0.00018310547 0.00064086914 0.00036621094 0.00088500977 0.0018615723 0.0002746582 0.027313232 0.0019226074 0.0134887695 0.00033569336 0.0002746582 0.001373291 0.010406494 0.0010986328 0.035858154 0.0010070801 0.007537842 0.00021362305 0.00012207031 0.061187744 0.00024414062 0.00015258789 0.00012207031 0.0020141602 0.00033569336 0.00015258789 0.0002746582 0.000579834 0.00079345703 0.00018310547 0.00021362305 0.0007019043 9.1552734e-05 3.0517578e-05 6.1035156e-05 0.0013122559 0.003753662 0.0005493164 0.0031433105 0.0019226074 0.0020141602 0.00048828125 0.0012512207 0.0007019043 0.0013427734 0.0010681152 0.0012207031 0.00079345703 0.00018310547 0.0022277832 0.0002746582 0.0005493164 0.00021362305 0.00018310547 0.00018310547 0.00039672852 0.00012207031 0.00018310547 0.00030517578 0.0033874512 0.0016174316 0.00039672852 0.000579834 0.00088500977 0.00076293945 0.00030517578 0.0017700195 0.016784668 0.002532959 0.003540039 0.01272583 0.017852783 0.00024414062 0.0013122559 0.005554199 0.00289917 0.0032348633 0.00079345703 0.00088500977 0.0005493164 0.0010070801 0.00064086914 0.0007019043 0.0009460449 0.0024414062 0.0012817383 0.0007324219 0.00064086914 0.00024414062 0.0010070801 0.0011291504 0.002105713 0.000579834 0.00033569336 0.0014648438 9.1552734e-05 0.00021362305 9.1552734e-05 0.00036621094 0.0006713867 0.0018005371 0.00030517578 9.1552734e-05 0.0004272461 0.00033569336 0.00018310547 0.00018310547 0.029571533 0.0018615723 0.00012207031 0.0017700195 0.0014648438 0.00064086914 0.00015258789 0.00024414062 0.002746582 0.0002746582 0.002166748 0.004180908 0.00048828125 0.00024414062 0.0022583008 0.0033874512 0.004211426 0.0015563965 0.0009765625 0.0008239746 0.00045776367 0.0006713867 0.0012817383 0.030578613 0.06451613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.028509324 0.00025201612 0.0010080645 7.875504e-05 0.0003622732 0.00014175907 0.0006300403 0.00028351814 0.00011025705 0.00025201612 0.00025201612 0.00014175907 7.875504e-05 6.300403e-05 3.1502015e-05 6.300403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019673008 0.0008978075 0.00067729334 0.00064579136 0.00047253023 0.0009765625 0.00029926916 0.00025201612 0.0016853579 0.0023469003 0.0009765625 0.00028351814 0.0013860887 0.00025201612 0.0005512853 0.0008820564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04030683 0.007686492 0.0087575605 0.0042370213 0.009434854 0.013041834 0.0031817036 0.0066154236 0.020429058 0.015892766 0.0025516632 0.001984627 0.014396422 0.0014333418 0.00530809 0.006032636 0.15385585 0.04400832 0.041031376 0.021216609 0.027469758 0.06418536 0.021862399 0.023469003 0.083055064 0.05000945 0.018633442 0.009403352 0.055884577 0.012112525 0.034132436 0.049347907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 6.05 363.0 0.030303031 0.005509642 0.002754821 0.008264462 0.07438017 0.002754821 0.0 0.0 0.005509642 0.0 0.0 0.0 0.016528925 0.002754821 0.016528925 0.0 0.005509642 0.002754821 0.0 0.030303031 0.002754821 0.0 0.0 0.005509642 0.005509642 0.011019284 0.0 0.008264462 0.0 0.0 0.002754821 0.0 0.027548209 0.002754821 0.0 0.002754821 0.027548209 0.0 0.0 0.0 0.008264462 0.0 0.0 0.0 0.019283747 0.0 0.0 0.002754821 0.06887052 0.030303031 0.027548209 0.055096418 0.022038568 0.044077136 0.06887052 0.060606062 0.002754821 0.008264462 0.0 0.013774104 0.0 0.011019284 0.022038568 0.019283747 0.002754821 0.016528925 0.002754821 0.008264462 0.008264462 0.011019284 0.005509642 0.002754821 0.022038568 0.008264462 0.005509642 0.0 0.005509642 0.005509642 0.011019284 0.011019284 0.002754821 0.0 0.013774104 0.008264462 0.03305785 0.016528925 0.0 0.0 0.011019284 0.0 0.0 0.002754821 0.0 0.0 0.0 0.0 5.290163 0.0 0.0 0.0 1.0 32768.0 393216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1178783200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 217088.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.295444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -215622.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2092.0 231552.0 200.0 228680.0 0.0 0.0 0.0 0.0 0.0 0.0 6564.0 380928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 556.0 221184.0 0.0 0.0 0.0 0.0


Input: 0.01283881 0.0074887397 0.0061765765 0.005260153 0.00459623 0.004026929 0.0039589684 0.0037556093 0.0038523225 0.0037080368 0.0037331302 0.0038084094 0.0038617325 0.0038763701 0.0037273795 0.0038089324 0.003784362 0.0037231974 0.0036275296 0.0037331302 0.0038037046 0.0037085598 0.00366151 0.0036876488 0.0036698745 0.0036641238 0.0036850348 0.003673534 0.0036740566 0.0036928765 0.00366151 0.0036724883 0.0042156507 0.0036745793 0.0036019138 0.0036458268 0.0039004178 0.00366151 0.0036453041 0.0036761477 0.0036453041 0.0037974312 0.003638508 0.0037482905 0.0036468722 0.0037096052 0.0036902626 0.0036813754 0.0038230473 0.003812069 0.0037258111 0.0038941444 0.0038209562 0.0037315618 0.003731039 0.0037331302 0.0037179696 0.0037116962 0.0036473952 0.0037571776 0.0036792844 0.0036447812 0.0036698745 0.0037190153 0.004434693 0.0036683062 0.0036751023 0.0037890668 0.0037022864 0.004089662 0.0037331302 0.0036322346 0.003714833 0.0036714426 0.0036620328 0.00368033 0.0036839894 0.0036991497 0.0037320845 0.0036745793 0.003784362 0.0037922035 0.0037284251 0.003906691 0.0037456767 0.003891008 0.0037744292 0.003756655 0.0036761477 0.0037299935 0.003705423 0.0038172968 0.0036646468 0.003656805 0.0037467221 0.003698627 0.0037441084 0.0038842119 0.0036672605 0.0037770432 0.0038915307 0.004006541 0.0037733838 0.0035956404 0.003928125 0.0038507544 0.0037859303 0.003700718 0.0039082593 0.003768156 0.0037341756 0.0038847346 0.003788544 0.0037059458 0.0039385804 0.0038810752 0.004129393 0.003932307 0.0036724883 0.0037519499 0.0037477678 0.0037122192 0.0037116962 0.0036818981 0.003767633 0.0037629283 0.0037012408 0.0037744292 0.0038152055 0.0037697242 0.003684512 0.003886303 0.003739926 0.0037529955 0.00367092 0.0035825712 0.0037430627 0.0040609096 0.0037733838 0.00468667 0.0036641238 0.0038800295 0.0036996726 0.0036552367 0.0037603143 0.003612892 0.0037080368 0.003652623 0.0036473952 0.0036855577 0.0036646468 0.003675625 0.0035998228 0.0037284251 0.0036505319 0.0035992998 0.003545977 0.0037137875 0.0036374624 0.003652623 0.0036432128 0.0036489635 0.0036306663 0.0036782387 0.003705423 0.003652623 0.0036202108 0.0036536683 0.0037001953 0.003675625 0.0036557596 0.0036933993 0.0038993722 0.003694445 0.003654714 0.00368033 0.0036981043 0.0036808527 0.0037211063 0.0036886942 0.0036599417 0.0036599417 0.0036322346 0.0037075141 0.0037477678 0.0036280525 0.0038099778 0.0036609874 0.0037341756 0.0036745793 0.0036683062 0.0036724883 0.0040891394 0.0038272294 0.0037064685 0.003987721 0.00384239 0.0036609874 0.0038220016 0.0038784612 0.0037341756 0.003774952 0.0037069914 0.003696013 0.0037644964 0.0037096052 0.003693922 0.0037660648 0.0038125918 0.003821479 0.0037467221 0.0037143102 0.0037430627 0.0036761477 0.0036719656 0.0037603143 0.0037744292 0.0037488134 0.003735744 0.0037592687 0.0037268568 0.0036233475 0.003721629 0.00366151 0.003703332 0.0036949676 0.0037451538 0.003767633 0.0039270795 0.0038554592 0.0039082593 0.0039960854 0.0045695687 0.004214605 0.0041717375 0.0044472395 0.004533497 0.0043688235 0.0043505263 0.0043144547 0.004308182 0.00414769 0.0041137096 0.004135666 0.004149258 0.004256427 0.004388689 0.0044890614 0.00472431 0.0045998897 0.004621846 0.0047807693 0.005419077 0.005806452 0.0065184706 0.0072033047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007335988 2.1184136e-05 1.5168887e-05 3.0337775e-05 9.415171e-06 4.5245128e-05 1.4122757e-05 6.7998462e-06 1.5691952e-06 1.2030497e-05 4.9691184e-06 2.2753331e-05 4.1322142e-05 2.0138006e-05 3.0599305e-05 0.0011332205 0.0027429534 5.8060225e-05 9.912083e-05 8.0028956e-05 8.813647e-05 7.767516e-05 0.0003512382 0.00016058098 4.5245128e-05 3.1122374e-05 4.6552792e-05 6.067555e-05 0.00012893554 7.532137e-05 0.00060858624 0.0023088092 0.0025447116 9.022873e-05 0.00017993439 0.00017496527 0.00013835072 9.441325e-05 0.00042551343 0.0002887319 2.5368656e-05 5.152191e-05 2.3537928e-05 0.00010513608 0.00011742811 0.00010722834 0.0010476994 0.0026195098 0.0028632581 9.467478e-05 0.0002586557 0.00017758059 0.00014096603 0.00014933509 0.00034443836 0.0002586557 0.00013939684 0.00011219746 9.1536385e-05 0.00011141286 0.00020268772 0.00025734803 0.0014881202 0.0034864903 0.0040856614 0.00021131829 0.00023093323 0.0002806244 0.00022465645 0.00038209904 0.00040955996 0.00022648717 0.00030442388 0.00021707201 0.00017313454 0.0002869012 0.00040066784 0.00043257483 0.0024380062 0.0052288203 0.00183282 0.00015064274 0.00014122757 0.00012605869 0.00016738083 9.389018e-05 0.0002484559 0.00019588787 0.0002097491 0.00014515055 9.88593e-05 8.9444125e-05 0.00012658176 0.00027356303 0.0007987204 0.0017289916 0.00045532815 2.3537928e-05 0.00014358136 0.00014279677 4.5768193e-05 3.7660684e-05 0.00015691953 0.00015221194 4.5245128e-05 8.4213476e-05 3.8445283e-05 9.1013324e-05 3.818375e-05 8.656727e-05 0.00022491798 0.0003760838 0.0010714988 0.000113766655 0.00015011968 0.00015744258 0.00036876087 0.00032822334 0.00013468925 0.00021811813 0.00064912374 5.46603e-05 6.381394e-05 9.441325e-05 0.0003810529 0.00014776588 0.0002675478 0.0006195706 0.0034433375 0.00058478676 0.0007419678 0.0007613212 0.0013390466 0.001229203 0.0009880699 0.0010024542 0.0020127543 0.00025917875 0.00044983596 0.00047860455 0.0014337214 0.00068913825 0.0011164824 0.0022167498 0.058484953 0.057782475 0.057628695 0.057898596 0.057724416 0.057650402 0.057832427 0.058161438 0.057647787 0.057586588 0.05791298 0.05772311 0.057806797 0.057629216 0.057568803 0.057974704 8815.0 6.295179 55492.0 0.018831544 0.009046349 0.008848122 0.00908239 0.010163628 0.008703957 0.008343545 0.008613855 0.008541772 0.010217689 0.0093527 0.009406761 0.009190514 0.00967707 0.01023571 0.010199669 0.010469978 0.009623009 0.009262596 0.009875298 0.009172494 0.0095869675 0.009857276 0.009875298 0.009406761 0.010037483 0.010379874 0.0093527 0.010199669 0.009749153 0.009514885 0.008613855 0.010379874 0.010307793 0.009172494 0.01025373 0.010451957 0.010596122 0.0091544725 0.010325813 0.0091544725 0.009731133 0.009100411 0.009623009 0.009911339 0.010091545 0.0094428025 0.010181648 0.009857276 0.010181648 0.009983421 0.011028617 0.010181648 0.009623009 0.00994738 0.010361854 0.009406761 0.010037483 0.009460824 0.00994738 0.0092986375 0.010055504 0.010019463 0.009929359 0.009460824 0.014002019 0.009496865 0.012470266 0.013785771 0.019984862 0.010974555 0.010343833 0.011389029 0.014326389 0.009406761 0.009875298 0.0135515025 0.011605277 0.013641606 0.014812946 0.011298926 0.009424782 0.01493909 0.014146184 0.016813233 0.011839544 0.009929359 0.009532905 0.009244576 0.010217689 0.008649896 0.008397607 0.008992287 0.009767174 0.008271462 0.00877604 6.560541 0.0 11.0 0.0 29.0 1912872.0 163840.0 0.0 0.0 8.0 0.0 1.0 1.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 92160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1205583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647503 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 6.200861 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3724.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 92068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 92068.0 69632.0 0.0 0.0 4976.0 1907896.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.8127934 0.0034951358 0.0026017274 0.001414286 0.005092361 0.0021107853 0.0007530441 0.0010118198 0.0018114303 0.0007889667 0.00070514734 0.000556135 0.00096192735 0.0004696547 0.0006346326 0.0006146756 0.0021932742 0.00043373212 0.00032130769 0.0005315214 0.0008528291 0.00041377512 0.0004037966 0.0003292905 0.0006931731 0.000547487 0.0007477222 0.00039315288 0.0006412849 0.0002734109 0.00026476287 0.00055546983 0.0030660604 0.0006000404 0.00030401163 0.0003000202 0.0008262198 0.00034924748 0.0003233034 0.00028471986 0.0005794182 0.00031066395 0.00036787402 0.00042641454 0.000510234 0.0008860908 0.0011987505 0.00040047045 0.0013564107 0.00031798152 0.00026609332 0.00040845326 0.0005035816 0.0003219729 0.000279398 0.00020688756 0.00052753004 0.00034126468 0.0003153206 0.00045635004 0.00060137094 0.0002873808 0.00029669405 0.00063795876 0.0030015328 0.00092733523 0.0004696547 0.0006911774 0.0007730011 0.0005747616 0.0008262198 0.0006931731 0.0007084735 0.0006352978 0.00057143543 0.0004709852 0.0009093739 0.0010304464 0.0023529301 0.00096591876 0.0017129758 0.0005335171 0.00043772353 0.0006213279 0.000835533 0.0007317566 0.00047231565 0.0004430454 0.00044637156 0.00026476287 0.00041444035 0.00019690907 0.0005953838 0.0008887517 0.00015899076 0.00067787274 0.0011987505 0.0018154217 0.0006279802 0.0010803388 0.0014149513 0.0019238547 0.0007177867 0.00069982547 0.001773512 0.0012759175 0.00036521308 0.00044437585 0.00132581 0.0020169874 0.0011907676 0.0015859163 0.0025558264 0.0002315012 0.0015373542 0.0020349487 0.0037445982 0.0068785124 0.0024846464 0.0006945036 0.00094995316 0.00043040595 0.00027873277 0.0003139901 0.000507573 0.00019225242 0.00022019223 0.00040246616 0.0015686201 0.00024480585 0.00024147969 0.00021487036 0.00063197163 0.00032729478 0.00038583533 0.00026409762 0.0005747616 0.0002055571 0.00022484886 0.00031665104 0.00087544706 0.0006858556 0.0002953636 0.00016298216 0.00112624 0.0003372733 0.00028605032 0.00021886177 0.00043639305 0.00022218793 0.00034858225 0.0002095485 0.00051422534 0.00032263817 0.0001875958 0.00025212343 0.00041643606 0.00039381813 0.00020090045 0.00041643606 0.0010690299 0.00021154419 0.000299355 0.0002015657 0.00043572782 0.00022484886 0.00020223092 0.00029070696 0.0004237536 0.00024547108 0.00026210194 0.00035856076 0.00049227267 0.00026276716 0.0005594612 0.00022484886 0.0010710256 0.00020888326 0.00029070696 0.0002734109 0.0006432806 0.0002434754 0.0003013507 0.00019890476 0.0006213279 0.00021620083 0.0004869508 0.00026409762 0.00060602755 0.00022085746 0.00026875426 0.00032596433 0.0011934285 0.00019890476 0.00021553559 0.00017096497 0.00047298087 0.00045967623 0.0002734109 0.00027274564 0.0006352978 0.00025877575 0.00023017073 0.00026476287 0.0007550398 0.00034924748 0.00030534208 0.00028937648 0.0013131705 0.00058540533 0.00042242315 0.00033860374 0.00064594153 0.00031931198 0.00038450485 0.00027873277 0.0007251043 0.0011608321 0.0011362185 0.00058540533 0.000989202 0.00036521308 0.0004018009 0.00030068547 0.0010058328 0.00032796004 0.00016830403 0.00020223092 0.0005128949 0.00032463385 0.00028405464 0.00033261665 0.0029922195 0.00025278865 0.00031332488 0.00018426962 0.0005288605 0.00041577083 0.00043838876 0.00043107118 0.0012240293 0.00029669405 0.00026276716 0.0004836246 0.00074373087 0.0008348678 0.0016883621 0.00012839003 0.00091735675 0.0002095485 0.00019491336 0.0001736259 0.0005534741 0.0002634324 0.00030534208 0.010373648 0.43096128 4.9926508e-05 6.889858e-05 4.926082e-05 8.8203495e-05 6.590299e-05 9.28633e-05 0.00017474277 5.392063e-05 4.0606894e-05 6.3240244e-05 4.8262293e-05 4.4601013e-05 6.82329e-05 7.222701e-05 0.00023232469 0.043794535 0.000116162344 0.000108506945 9.7523116e-05 0.00014212413 9.7523116e-05 0.00023565312 0.00020569722 7.7219665e-05 6.091034e-05 9.952017e-05 7.588829e-05 5.8580437e-05 0.000119157936 4.9926508e-05 0.00033251054 0.053500246 0.00025795362 0.00027193304 0.0002509639 0.00030688161 0.00023365606 0.00057115924 0.0007092893 0.00017840405 0.00018006827 0.00015477218 0.00013613295 0.000165756 0.00024031293 0.00015943198 0.0006244142 0.06812306 0.0006720108 0.0007994898 0.0003045517 0.00079483003 0.00047896162 0.0013403604 0.0011140269 0.00036879047 0.0002692703 0.0002968963 0.00043935326 0.00037777724 0.0003291821 0.0002339889 0.0017670655 0.08513868 0.0010644331 0.0012608108 0.0005754862 0.0012338505 0.0007925001 0.0022393703 0.0018253131 0.0006620255 0.00054819306 0.0005684965 0.000612099 0.0006443848 0.0005991181 0.0005751534 0.0018645887 0.02392911 0.00045599544 0.00032818358 0.00022766487 0.0005069205 0.00036812478 0.0006433863 0.00093628844 0.00025595658 0.0003198625 0.00025495802 0.00017840405 0.00027992128 0.00037411597 0.00026427765 0.0006700137 0.02732977 0.0006816633 0.00062707695 0.00040706748 0.00079649425 0.00047663174 0.0011276734 0.0011875852 0.00042703806 0.0004034062 0.0004087317 0.00039674932 0.0002892409 0.0005109146 0.00038609834 0.0013536741 0.023128288 0.00071994023 0.0006849917 0.00052489404 0.0011642862 0.0005508558 0.0010614375 0.0012032288 0.00036712625 0.00035281398 0.00027359725 0.00035880518 0.00027792423 0.00050592195 0.00035880518 0.0018685828 0.022587419 0.00091265654 0.00093296 0.0006527059 0.0015886615 0.0007731952 0.0022107458 0.0016056366 0.00041305865 0.00038110567 0.0004087317 0.000386764 0.00029390072 0.0007212716 0.00036845764 0.0018908833 0.02242732 0.0009589218 0.0009382855 0.0007908359 0.0019025328 0.001196572 0.0019491309 0.0021654791 0.0005924612 0.0005388734 0.0004889469 0.00054519746 0.0006274098 0.0008384325 0.00078051776 0.0021138883 0.015719194 0.001305079 0.0019238348 0.00081646483 0.0025785377 0.0013173941 0.003092115 0.003850998 0.0006130975 0.0005851387 0.0005545171 0.00048428713 0.0011686131 0.0008274487 0.0007415751 0.002594847 0.00784412 0.00076088 0.0011493082 0.0008507477 0.0018818965 0.00089901 0.001721466 0.003823372 0.00068832014 0.0004962695 0.0004979337 0.0006876544 0.0006260784 0.0021215437 0.0020563065 0.0011616234 0.006046433 0.0005618396 0.0005255597 0.00056250533 0.001092392 0.0008048153 0.0015723521 0.002159155 0.001500458 0.00048461996 0.0005132445 0.000629074 0.0005578455 0.0011706102 0.0013300421 0.0009389512 0.0035404551 0.0004649822 0.00062807545 0.00046365085 0.0008450894 0.0008800379 0.00085640606 0.0018679171 0.0005428676 0.00061642594 0.0006540373 0.000635398 0.00044933858 0.00091332226 0.00081047363 0.00082811434 0.0012811142 0.0003275179 0.00020669574 0.0002692703 0.00039441942 0.00022333792 0.00041139443 0.00035647527 0.00020702858 0.00033816887 0.0002522953 0.00029023943 0.00020969134 0.0002852468 0.0002539595 0.00014645109 0.00041006305 0.0002845811 0.00027792423 0.00028258405 0.00028957374 0.0002769257 0.00033317623 0.0002792556 0.0002769257 0.0002769257 0.00027759137 0.00033850173 0.00027759137 0.0003335091 0.00027858993 0.00027792423 2274.0 15.995603 36374.0 0.065211415 0.005498433 0.0016220377 0.0004673668 0.005360972 0.0022268654 0.0034640129 0.0005773355 0.0038763953 0.0034365207 0.0014295926 0.0009072414 0.0016220377 0.006653104 0.030433826 0.0019244516 0.0071204705 0.0016770221 0.0019244516 0.0011271788 0.0016220377 0.0013471161 0.0017594985 0.0007972728 0.0014295926 0.0011821631 0.0026942322 0.0011821631 0.0027767087 0.0041238246 0.0043987464 0.012756364 0.03925881 0.015862979 0.0026117556 0.009759719 0.0071204705 0.0057458626 0.004178809 0.0032715676 0.0026392478 0.0067355805 0.0012371474 0.0009622258 0.0049210973 0.0055809096 0.0032165833 0.006653104 0.009292352 0.001841975 0.007037994 0.009402321 0.012096552 0.0043712542 0.010309562 0.003161599 0.001841975 0.0018969594 0.001841975 0.0007697806 0.0024742947 0.0007972728 0.00035739815 0.016302854 0.0052235113 0.047808874 0.010611976 0.032330785 0.034860063 0.05182273 0.007202947 0.011354264 0.012426458 0.0340353 0.0017045143 0.0054159565 0.024852917 0.017704954 0.031945895 0.04066091 0.030488811 0.0020894045 0.046379283 0.03444768 0.06119756 0.017732447 0.011629186 0.0036014735 0.017292572 0.009457305 0.0018144829 0.0005498433 0.0026392478 0.0010447023 0.0005223511 0.0029691537 5.586698 15.0 0.0 0.0 76.0 1503232.0 1548288.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 1339382000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 5.0 0.0 856064.0 1536.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -48128.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92160.0 0.0 0.0 0.0 0.0 0.0 15872.0 0.0 0.0 -856064.0 -11776.0 468992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.037907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.16299008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.6310168 0.0 0.0 0.0 0.0 0.0 0.5990874 0.0 0.0 -2.4279253 -0.32628277 1.7183509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -49152.0 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 -131072.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 -856064.0 -12288.0 471040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15698.0 1011712.0 11496.0 999424.0 468992.0 1028096.0 0.0 0.0 6816.0 1495552.0 47720.0 1499136.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23046519 0.009459113 0.005563555 0.0066113994 0.0070177065 0.003464302 0.0022204323 0.0024592266 0.0073919366 0.0018854071 0.0022703295 0.0028013801 0.004718864 0.0024485344 0.0015147411 0.009092011 0.0049826074 0.0015254334 0.0013401003 0.0013472285 0.004020301 0.0024342781 0.0015682025 0.0012046647 0.002797816 0.0012367415 0.0013828696 0.0013187157 0.0019424327 0.0014113823 0.0014256387 0.0016822537 0.008461165 0.0013365363 0.001586023 0.002327355 0.0027407904 0.0016608691 0.0017214587 0.0011191263 0.0029011748 0.0021242017 0.0013507927 0.005666914 0.0019958941 0.001546818 0.0020172787 0.0010727932 0.003949019 0.0014042541 0.0017963047 0.0050788377 0.0018818431 0.0020778684 0.001250998 0.0012046647 0.0024414062 0.003204123 0.0017820484 0.0037921988 0.0022738937 0.0019673815 0.001218921 0.0015147411 0.0036745837 0.0027372262 0.0024449704 0.0061445027 0.0083257295 0.01244939 0.0040666345 0.0020564839 0.0023024066 0.0019994583 0.0012438698 0.0012403056 0.0028227647 0.00656863 0.0017963047 0.0014541515 0.0054637603 0.001949561 0.0017677919 0.004098711 0.0028227647 0.0061587594 0.0038884296 0.0044515566 0.0019103559 0.003973968 0.0010977418 0.0016074076 0.0029760208 0.002915431 0.0017998689 0.0031969948 0.0016287921 0.0039276346 0.0016608691 0.0034429175 0.0036531992 0.0076770643 0.0047295564 0.001988766 0.0061266823 0.0042590955 0.005303376 0.0015040488 0.0041094036 0.0023309193 0.0043588905 0.0046725306 0.0033751996 0.00093022926 0.005456632 0.0054495037 0.011337392 0.009740677 0.0018996636 0.0019424327 0.0019424327 0.0016323563 0.0014791001 0.0010941777 0.0018747149 0.002979585 0.0015040488 0.0018568943 0.0030651232 0.0022525091 0.00095517794 0.014420335 0.0028619696 0.010075701 0.0016786895 0.0011369468 0.0039917883 0.009954522 0.0017749202 0.019260379 0.0014434592 0.008215243 0.000994383 0.0012616903 0.0014149464 0.0010335881 0.0010086393 0.00094092154 0.0014577155 0.0037921988 0.00092666515 0.00081261405 0.0015076129 0.0010050753 0.0008660755 0.0009836907 0.0017000742 0.0011690237 0.0011690237 0.0009623061 0.001436331 0.0016573049 0.0009516138 0.0014185105 0.0015610744 0.0011440751 0.00079835765 0.0008910242 0.0017214587 0.0008732037 0.0008732037 0.000919537 0.0012652543 0.00085538323 0.00091240875 0.001254562 0.0018034329 0.00085538323 0.0008732037 0.0013899977 0.0012260493 0.0013579208 0.0034144046 0.0028655338 0.0021598425 0.0011975365 0.0012367415 0.0014505874 0.0014220746 0.0013686131 0.0018960994 0.0013757413 0.005666914 0.0034393533 0.0021028172 0.0039632753 0.0047153 0.0009836907 0.0028227647 0.005043197 0.0027550468 0.0021277657 0.001917484 0.0010335881 0.011661724 0.0010300239 0.0012795107 0.0014113823 0.00250556 0.0016287921 0.0013044594 0.0012973312 0.0023380474 0.0008054859 0.0018747149 0.0011939724 0.002327355 0.0013507927 0.00110487 0.0017214587 0.0022632014 0.0018818431 0.0009908188 0.0010335881 0.0031257127 0.0014470232 0.0012117929 0.0009836907 0.002619611 0.0013222799 0.0013008954 0.001250998 0.012146441 0.0030579949 0.0011333828 0.0040238653 0.0035070712 0.00096943433 0.0013436645 0.0012652543 0.0032932253 0.0014612797 0.0013686131 0.0013080235 0.0022525091 0.0010122035 0.0024200217 0.0020422274 0.0045941207 0.0015289974 0.0017143305 0.0021099453 0.0033217382 0.003243328 0.0034429175 0.063333996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032176482 3.0405792e-05 1.6097185e-05 1.788576e-05 4.2925825e-05 2.8617216e-05 1.9674337e-05 1.6097185e-05 8.048592e-05 1.788576e-05 1.4308608e-05 1.0731456e-05 1.2520032e-05 1.9674337e-05 2.1462913e-05 9.6583106e-05 7.690877e-05 1.9674337e-05 5.008013e-05 1.788576e-05 6.2600164e-05 3.3982946e-05 1.0731456e-05 7.154304e-06 0.00010731456 2.8617216e-05 1.788576e-06 2.3251489e-05 0.003045945 2.1462913e-05 7.154304e-06 0.00014845181 0.003020905 4.6502977e-05 4.6502977e-05 1.788576e-05 0.00011983459 9.837168e-05 8.94288e-05 4.6502977e-05 7.5120195e-05 2.3251489e-05 1.0731456e-05 1.4308608e-05 7.154304e-06 1.2520032e-05 7.154304e-06 2.682864e-05 0.005573203 0.00019495479 0.00015560612 7.690877e-05 0.0003577152 0.00011268029 0.00011089171 8.94288e-05 7.154304e-05 6.438874e-05 0.00010731456 3.219437e-05 0.00010373741 0.00011268029 3.7560098e-05 0.00012520033 0.0025844923 0.00014129751 0.00010910314 3.3982946e-05 0.00018601191 4.47144e-05 0.0001341432 0.00011089171 3.219437e-05 0.00010910314 1.6097185e-05 3.3982946e-05 5.365728e-05 1.2520032e-05 1.2520032e-05 4.8291553e-05 0.033035 0.00021105197 0.0047737095 0.002155234 0.0018547534 0.0019334507 0.0098747285 0.0065354565 0.00029511505 0.00044356685 5.7234432e-05 7.333162e-05 6.0811584e-05 3.7560098e-05 5.1868705e-05 0.0008781908 0.024034884 0.0005365728 0.004310468 0.0018279246 0.0042657536 0.003214071 0.016259944 0.008769388 0.00045608688 0.0003219437 0.00012877748 0.000223572 0.002459292 0.00023609203 0.00021284055 0.0023394574 0.016451322 0.00084599643 0.0015542726 0.0011411115 0.00223572 0.002133771 0.00455908 0.0030280591 0.0006099044 0.00049543555 0.000506167 0.0005419385 0.00054909283 0.0006778703 0.000611693 0.00068860175 0.04953998 0.0035145518 0.0034501632 0.0030888708 0.0035485348 0.0028688759 0.0032587855 0.0029475733 0.0031139108 0.002564818 0.0026417268 0.002695384 0.0028456245 0.00283847 0.0029940763 0.0033267513 0.01815047 0.001505981 0.0018207703 0.0017206101 0.0020264566 0.0017814217 0.0017528045 0.0018440218 0.0048541953 0.001096397 0.0010820884 0.0014916724 0.0031264308 0.0012180202 0.0020819025 0.005728809 0.069275126 0.00899296 0.009783511 0.009674408 0.019697588 0.015006153 0.0090806 0.0111786 0.03544421 0.005648323 0.004326565 0.0086424 0.015921904 0.0063512335 0.013814962 0.042875744 0.056853466 0.011022994 0.008737193 0.012180203 0.022135416 0.018227378 0.011268029 0.014920301 0.033603765 0.005453368 0.0051707732 0.007427956 0.019212883 0.009542053 0.016072145 0.037549365 0.016242059 0.0046413545 0.0047933836 0.004934681 0.0049507786 0.0047594006 0.004864927 0.0049954928 0.0048577725 0.004555503 0.0045125773 0.0047647664 0.004732572 0.004632412 0.004915007 0.0047594006 853.0 14.347011 12238.0 0.04943618 0.0012256905 0.000817127 0.0020428174 0.0017976793 0.005638176 0.0009805524 0.0026148064 0.0023696683 0.0020428174 0.0013891158 0.0018793921 0.002696519 0.00302337 0.006455303 0.0017159666 0.005066187 0.0023696683 0.0036770713 0.0042490605 0.0015525413 0.0037587842 0.002451381 0.0017976793 0.0021245303 0.0039222096 0.004003922 0.0017159666 0.0034319332 0.0026148064 0.0017976793 0.0010622651 0.002451381 0.011603204 0.0038404968 0.013727733 0.009478673 0.011358065 0.01119464 0.0111129265 0.00604674 0.0111129265 0.0014708285 0.0015525413 0.0077627064 0.00727243 0.006291878 0.006537016 0.011930054 0.0022879555 0.00939696 0.019937899 0.012992319 0.0041673477 0.0076809935 0.015852263 0.0020428174 0.004085635 0.0011439777 0.0015525413 0.00727243 0.0013891158 0.0011439777 0.007599281 0.0021245303 0.04028436 0.008906684 0.024758948 0.02238928 0.08465435 0.010214088 0.009723811 0.014626573 0.043471154 0.006210165 0.006537016 0.03366563 0.01666939 0.04142834 0.047475077 0.016097402 0.0013891158 0.0450237 0.032848503 0.0669227 0.020509887 0.006455303 0.0074358555 0.0074358555 0.008579833 0.002696519 0.0011439777 0.0013891158 0.0009805524 0.0008988397 0.0020428174 5.623266 0.0 0.0 0.0 4.0 280576.0 335872.0 0.0 0.0 326.0 0.0 1.0 0.0 0.0 0.0 1542698400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 115.0 0.0 5.0 0.0 5.0 0.0 124928.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -124928.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.188222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4091594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.549428 0.0 3.8682146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140446.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -124900.0 0.0 7296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -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 3.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 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 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 264268.0 7296.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 262920.0 0.0 0.0 1328.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.037625525 0.004296115 0.003983449 0.0037763584 0.0063873245 0.0033378135 0.0035611466 0.0043367213 0.004174297 0.003626116 0.00371951 0.0033621772 0.0040606004 0.0033621772 0.003341874 0.007865383 0.003926601 0.0038129038 0.0033378135 0.003544904 0.0033987225 0.0033702983 0.0035733283 0.003402783 0.0034230861 0.003617995 0.0031591472 0.003321571 0.0036545403 0.0035652071 0.0033499952 0.0035083587 0.0059000524 0.0033743589 0.0034718134 0.0033175105 0.009619562 0.0033702983 0.0033906014 0.0032931468 0.0036586009 0.003638298 0.0032647226 0.0032890863 0.0037357523 0.0033906014 0.0033175105 0.0032931468 0.0041377516 0.0044544786 0.004105267 0.0042717517 0.0046493877 0.0039225398 0.0038859947 0.0057457495 0.0045275693 0.0041012065 0.0031226017 0.0034596315 0.0035286618 0.003341874 0.0034433892 0.0037519948 0.0036301767 0.0034515103 0.003272844 0.0033987225 0.0043001757 0.004149934 0.0038697522 0.003597692 0.003394662 0.0035327224 0.0033621772 0.003483995 0.0036058133 0.0033093893 0.0034271467 0.0033784194 0.0036951464 0.0034677528 0.0034474498 0.0034596315 0.0034352678 0.0036220555 0.0034515103 0.0034393286 0.0033621772 0.0033012682 0.0036748433 0.0034474498 0.0033906014 0.0033621772 0.0035205407 0.009201321 0.0048686597 0.0041946 0.0038778733 0.0041905395 0.0055833254 0.0042027216 0.007715141 0.003260662 0.004227085 0.0036748433 0.0034596315 0.0032931468 0.003983449 0.003402783 0.0034515103 0.0037235706 0.0034596315 0.0034433892 0.0036423586 0.003678904 0.004551933 0.0037560554 0.0035164799 0.0034352678 0.0035083587 0.0035164799 0.0035733283 0.0031997531 0.0033459347 0.0034921162 0.0035408435 0.0032444198 0.0037966613 0.0035002376 0.0036951464 0.0042230245 0.003768237 0.0037316917 0.0035530254 0.0037032675 0.004206782 0.005416841 0.0035286618 0.0039550248 0.003252541 0.0056564165 0.003455571 0.0036748433 0.0034068436 0.0032931468 0.0034068436 0.0034271467 0.0033743589 0.0034068436 0.0032769046 0.0031347836 0.0036504797 0.0035124193 0.0035246012 0.003272844 0.005924416 0.0032972074 0.0033743589 0.003475874 0.003321571 0.0032687832 0.003130723 0.0036707828 0.003333753 0.0032281773 0.0032281773 0.003414965 0.003098238 0.0032566015 0.003354056 0.0035083587 0.0035205407 0.0032322379 0.003455571 0.0034596315 0.003463692 0.0032647226 0.003341874 0.0033906014 0.0032769046 0.0034474498 0.0036017525 0.0038129038 0.0040159337 0.0034312073 0.00405654 0.0036910858 0.0033906014 0.003496177 0.0039144186 0.0031510259 0.004442297 0.0041824183 0.0035124193 0.0036301767 0.0039387825 0.003597692 0.0044138725 0.004044358 0.0037479342 0.0036829645 0.0033093893 0.0033581166 0.003333753 0.0034312073 0.0033499952 0.0035164799 0.0038372674 0.0032687832 0.004044358 0.003626116 0.0034515103 0.0033824802 0.0032484804 0.003536783 0.0037763584 0.003402783 0.0034271467 0.003321571 0.0033906014 0.003394662 0.0036423586 0.003626116 0.0036220555 0.0033906014 0.003544904 0.0034352678 0.003333753 0.0033256318 0.003483995 0.0035164799 0.0057092044 0.0062249005 0.0035611466 0.0034515103 0.0034352678 0.0033581166 0.0035286618 0.003354056 0.0034190256 0.003455571 0.0036342375 0.0035408435 0.0033784194 0.0039875098 0.00405654 0.0037154495 0.004003752 0.0042230245 0.0037844796 0.0033865408 0.003678904 0.0036220555 0.003950964 0.010894591 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751152 0.05379266 0.0567203 0.053310506 0.054448467 0.053723197 0.05986042 0.054709975 0.058487512 0.05427481 0.05221545 0.05394793 0.056281053 0.05410524 0.056456752 0.059735797 1068.0 10.747191 11478.0 0.049311727 0.0050531453 0.006969855 0.0042690365 0.0062728697 0.0042690365 0.00409479 0.0053145145 0.0060115005 0.0056630075 0.004181913 0.0048788986 0.0047046524 0.003659174 0.005750131 0.004617529 0.01472382 0.026572574 0.02265203 0.027705176 0.018034501 0.016640529 0.015769297 0.05654295 0.024655864 0.015943544 0.00435616 0.005575884 0.0060115005 0.007318348 0.005401638 0.0058372538 0.0068827323 0.00792821 0.004181913 0.004966022 0.0064471164 0.005575884 0.0061857468 0.007144102 0.0047917757 0.006359993 0.0051402682 0.0058372538 0.0056630075 0.005924377 0.0062728697 0.0042690365 0.006708486 0.005401638 0.0048788986 0.006795609 0.00435616 0.004617529 0.004530406 0.0060115005 0.005575884 0.004181913 0.0060115005 0.0058372538 0.0033978045 0.0051402682 0.004181913 0.12580588 0.0050531453 0.020299703 0.011151768 0.025439972 0.015072312 0.023087647 0.014026834 0.007318348 0.0061857468 0.009670674 0.0047046524 0.0042690365 0.010629029 0.006708486 0.009322181 0.012807109 0.0060115005 0.006708486 0.014113957 0.009235058 0.014810943 0.009932044 0.0051402682 0.0064471164 0.0066213626 0.006969855 0.0052273916 0.0048788986 0.0050531453 0.006359993 0.0054887612 0.0054887612 5.939264 0.0 0.0 0.0 5.0 246269.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.064671405 0.006325407 0.0048786034 0.00480945 0.0056952117 0.0035628898 0.0036801493 0.0033031143 0.006454092 0.0031161003 0.0031509774 0.0031467683 0.005169046 0.0030030499 0.0028521158 0.0061702635 0.005291718 0.0028406903 0.0027649226 0.0027216268 0.0039940444 0.0032682372 0.0028605345 0.0026392443 0.0035105739 0.0029543422 0.0026608922 0.0027402681 0.0033866996 0.002901425 0.0027877733 0.002872561 0.010906952 0.0026705137 0.0028100226 0.0029459235 0.003875582 0.002785368 0.0024967287 0.0027089987 0.0028827835 0.0025201808 0.002562274 0.003492534 0.0028972155 0.0035009526 0.0037487012 0.002527998 0.0037925984 0.002870757 0.0028178398 0.0047475128 0.0029892193 0.0026747228 0.0025995565 0.0027089987 0.0031906655 0.0028737637 0.0029567473 0.0038304823 0.0029272821 0.0030252992 0.0025875298 0.0038256715 0.0063825333 0.0036128003 0.0031377482 0.0033037157 0.0032165227 0.008360914 0.0049044606 0.0031924695 0.0045959773 0.004379498 0.0036007736 0.0024967287 0.0027498894 0.0055809584 0.0027823613 0.0026596896 0.0063121775 0.003297101 0.0028533184 0.0040415497 0.0031966788 0.0044745086 0.0042496105 0.0037751598 0.0029332954 0.0037144253 0.0025634766 0.0029212688 0.0027089987 0.0041924836 0.0033969223 0.0037138239 0.0027679293 0.0067613726 0.0034540487 0.004042752 0.005090873 0.008301984 0.0046927915 0.0034630685 0.004272461 0.006490172 0.004437226 0.0029044317 0.00532419 0.0035863416 0.0067198803 0.007235823 0.0046837716 0.0026452576 0.006757163 0.00658879 0.010762031 0.008404812 0.0031702202 0.0033001078 0.0030836284 0.0036121989 0.002546038 0.002549646 0.0028052118 0.003552667 0.0027571053 0.0028575277 0.0035953615 0.0033373903 0.0028034078 0.008403609 0.0038449143 0.0061179474 0.002526194 0.0026572843 0.0032712438 0.006917719 0.0032014893 0.01689381 0.0027282415 0.007710875 0.0024750808 0.0024762836 0.003090243 0.0026290216 0.002711404 0.0025394233 0.0027378628 0.0026939656 0.0025959485 0.0025201808 0.0028539198 0.0026043672 0.0025129647 0.0024347915 0.0027047894 0.002531606 0.0024594462 0.0025406259 0.0028936076 0.0031088842 0.002404725 0.0027468826 0.0026446562 0.0025346125 0.0024041238 0.00256047 0.0029627606 0.002549646 0.002537018 0.002484702 0.0025887324 0.0026157924 0.0024792901 0.002509958 0.002796192 0.002627819 0.0024287782 0.0025394233 0.0027041882 0.0027534973 0.0028587303 0.0028250557 0.003855137 0.0028767702 0.0026200018 0.0025508485 0.0029320929 0.0028479064 0.0026669055 0.002715012 0.005719265 0.0044600763 0.0035370325 0.0043819034 0.004178653 0.002760112 0.0037691465 0.0044534616 0.003625428 0.0031846522 0.0028358798 0.0028178398 0.0071642646 0.002486506 0.0035947603 0.0031034723 0.0031852534 0.0027769492 0.0027324508 0.0025863273 0.002734856 0.002419157 0.00276372 0.002667507 0.0037931995 0.002999442 0.0024985326 0.0028094212 0.0026879522 0.002669311 0.0024582436 0.002546038 0.0040030642 0.0027071948 0.0025322074 0.0028280625 0.0029501328 0.0029838074 0.0025069513 0.0025322074 0.008781245 0.0036025776 0.002467865 0.004039746 0.0042790757 0.002399313 0.0025304034 0.002660291 0.0040842444 0.002716816 0.0025562607 0.0027138095 0.0032201307 0.002420961 0.0034324008 0.00298501 0.003908054 0.0032995064 0.0029513354 0.002653075 0.0046759546 0.0034883246 0.0040926626 0.023991928 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00047654807 7.731872e-05 1.9254467e-05 1.5042552e-06 1.5042552e-06 1.2034042e-06 1.5042552e-06 3.0085104e-07 1.5042552e-06 9.0255315e-07 6.017021e-07 6.017021e-07 9.0255315e-07 1.5042552e-06 9.0255315e-07 3.0085104e-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 0.001258159 3.700468e-05 6.5585526e-05 5.114468e-06 5.8966805e-05 2.6474892e-05 0.00023075275 0.00010981063 3.9110637e-06 4.512766e-06 1.2334893e-05 3.0085105e-06 9.025532e-06 4.2119145e-06 2.4068083e-06 1.714851e-05 0.009645887 0.00040494552 0.0017903646 0.00049249316 0.0012957655 0.00045308168 0.0043515097 0.002148979 0.00016546808 0.00023737148 7.7619574e-05 6.1072766e-05 7.852212e-05 6.1072766e-05 7.009829e-05 0.0014630386 0.0045813597 0.00025301572 0.003417367 0.0013803046 0.002756999 0.001302685 0.012227489 0.006962596 0.00014470935 8.243319e-05 0.00016005276 0.00022262978 0.0004284119 5.4153188e-05 4.4525954e-05 0.00048527273 0.008723778 0.0007307672 0.003257916 0.00062336336 0.001470259 0.0008839004 0.00998314 0.005068137 0.00057312124 0.00023586722 0.00039441572 0.000811997 0.00096212164 0.00043533146 0.00049700594 0.0004690268 0.007720139 0.00044465784 0.0020090833 0.0007139195 0.0017804365 0.00075543695 0.005562134 0.0032455812 0.00065856293 0.0005045272 0.00043653487 0.0005328072 0.00043021698 0.00020879063 0.00047955656 0.00039561914 0.0048421975 0.0007063983 0.0010911868 0.0005974902 0.0009542995 0.0004603021 0.0024609615 0.0013911353 0.00070790254 0.00021811701 0.0004756455 0.0004633106 0.0007954502 0.0005075357 0.0004497723 0.0011302974 0.004014857 0.00081019185 0.0012716973 0.00072053826 0.00096212164 0.00074701314 0.0016182777 0.0010487668 0.0020536094 0.00043111955 0.00050482806 0.00075934804 0.00094918505 0.0004461621 0.0008709638 0.0025078943 0.03235713 0.005453226 0.003263632 0.0048304643 0.011013856 0.009427769 0.003939043 0.0068618106 0.02238061 0.001862268 0.0019088999 0.0027533888 0.014491393 0.0030834223 0.00811636 0.017363317 0.01867202 0.004498325 0.0025674629 0.003970331 0.008455118 0.007594082 0.002848157 0.006721614 0.015404476 0.0018391025 0.0013893301 0.0022515692 0.0073299347 0.002642074 0.0067270296 0.012449818 0.037533574 0.036782652 0.036589205 0.03709403 0.03622397 0.036706835 0.03634401 0.036522113 0.03689276 0.03675076 0.03666893 0.036742937 0.03660936 0.036879826 0.036555808 0.036903594 7827.0 18.549126 145184.0 0.08235756 0.002121446 0.0022385386 0.0021421092 0.008995482 0.004118911 0.0019148116 0.002300529 0.0021765484 0.0019216994 0.0016599626 0.002700022 0.0025691537 0.005992396 0.014471292 0.0020594555 0.0069153626 0.0049592243 0.0036712035 0.002996198 0.0046561603 0.0029479833 0.003030637 0.0029273198 0.0035334472 0.0028377783 0.0051796343 0.002665583 0.0026724709 0.0027551246 0.002231651 0.007920983 0.03247603 0.00547581 0.0027275733 0.0034921204 0.0042566676 0.003244159 0.0030237492 0.0026518074 0.0026793587 0.004339321 0.001969914 0.0023418558 0.0031132908 0.002996198 0.0024382852 0.0027275733 0.0066742892 0.0023625193 0.0028446661 0.010035541 0.0058477516 0.0077625634 0.0046217213 0.004793917 0.00226609 0.0020732312 0.0020938946 0.0021283338 0.0021145581 0.0020525677 0.0020663433 0.009085023 0.0020732312 0.048924126 0.012033006 0.018555764 0.02438974 0.06383623 0.014498843 0.012687349 0.010724322 0.046616707 0.0035127837 0.006750055 0.03215919 0.014085574 0.04836621 0.054999173 0.021262674 0.0032717104 0.041547276 0.043262344 0.062045403 0.01941674 0.005737547 0.007438836 0.004601058 0.014175116 0.0030926273 0.0019768018 0.0018114944 0.0020250166 0.0018390457 0.0018665969 5.5281134 4.0 2.0 0.0 18.0 1662976.0 729088.0 1.0 0.0 159.0 0.0 1.0 0.0 1.0 0.0 1541447300.0 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 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 14.0 14.0 6.0 0.0 6.0 0.0 425984.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 205824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425984.0 0.0 52224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7698526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8210006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.633326 0.0 6.9111004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 205640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425560.0 0.0 51880.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 631944.0 51880.0 675840.0 0.0 0.0 8424.0 66673584.0 0.0 0.0 84.0 600512.0 0.0 0.0 0.0 0.0 24.0 600596.0 64.0 600352.0 0.0 0.0 664.0 430080.0 96.0 631604.0 0.0 0.0