Input: 0.80074495 0.004820128 0.002335832 0.0016957875 0.0012240023 0.00022599504 0.00024743984 0.00024084143 0.00026228622 0.00031507338 0.00030187657 0.0013493719 0.0002639358 0.00033981734 0.00033981734 0.00030517578 0.00023919182 0.00024249102 0.0002771326 0.00025073902 0.0002787822 0.00024579023 0.00023259343 0.00025073902 0.00021114865 0.00020455025 0.00019960146 0.00018145586 0.00021939664 0.00019300306 0.00022104624 0.00021609744 0.01270521 0.00020290066 0.00033156938 0.00020784946 0.00024414062 0.00025073902 0.0002771326 0.00034641576 0.00033981734 0.00031507338 0.00024743984 0.00020949905 0.00040580131 0.00029692778 0.0012767895 0.00032827017 0.0005295212 0.00034476616 0.00032002217 0.00024743984 0.00029527818 0.0002556878 0.0002787822 0.00020455025 0.0002820814 0.00020290066 0.00053941883 0.00020455025 0.00034641576 0.0002655854 0.00038105733 0.00026228622 0.000291979 0.0015324773 0.0008528426 0.0012174039 0.0009567673 0.00078190985 0.001085436 0.000258987 0.00057241076 0.0006829339 0.00031012457 0.00031177417 0.0011877111 0.0009237753 0.00065654033 0.00037280933 0.00111018 0.000300227 0.0008297482 0.002636059 0.0015258789 0.00064829236 0.00034476616 0.00035466376 0.00024084143 0.00024084143 0.0002721838 0.00019300306 0.00017155828 0.00017980627 0.00018310547 0.0028801996 0.00021939664 0.008243045 0.0014928869 0.0044753617 0.0045297984 0.015309927 0.0015110325 0.0019085858 0.0034987992 0.007664036 0.00021279824 0.0005460172 0.0048118797 0.0026674012 0.006898622 0.008376663 0.003121041 0.00035466376 0.008284286 0.006077122 0.010174725 0.002870302 0.0010309992 0.0012932855 0.0014400998 0.0017617715 0.00033321895 0.0005163244 0.0002490894 0.0005443676 0.00018145586 0.00015836148 0.00017155828 0.00018970386 0.00017485747 0.00015506228 0.00017980627 0.00017485747 0.00018475507 0.00018310547 0.00017155828 0.00047013565 0.00018640466 0.00018970386 0.00016331028 0.00020290066 0.00030352618 0.00032991977 0.00039755332 0.00016660948 0.00018145586 0.00017815667 0.00018640466 0.00016990867 0.00018805427 0.00018310547 0.00020125105 0.00018970386 0.00023259343 0.00019300306 0.00020784946 0.00016495989 0.0001534127 0.00017815667 0.00019465266 0.00031177417 0.00022269585 0.00021114865 0.00016660948 0.00017320788 0.00018310547 0.00017980627 0.00016331028 0.00017815667 0.00016660948 0.00016990867 0.00019300306 0.00015176309 0.00018475507 0.00017980627 0.00019795186 0.00018640466 0.00015836148 0.00020125105 0.00018310547 0.00018145586 0.00017485747 0.00017485747 0.00016331028 0.00018475507 0.0001451647 0.0001385663 0.00016495989 0.00016001108 0.00014846389 0.00018475507 0.00018640466 0.00019465266 0.00016331028 0.00018145586 0.00015506228 0.00016495989 0.00016331028 0.00017815667 0.0001468143 0.00019960146 0.00017815667 0.00022104624 0.00017485747 0.00017815667 0.00017485747 0.00019960146 0.00015671189 0.00018475507 0.00016001108 0.00015176309 0.0001402159 0.00014846389 0.00018475507 0.00016825908 0.00018475507 0.00024414062 0.00018145586 0.00017980627 0.00016331028 0.00017650708 0.00018640466 0.00017320788 0.00016331028 0.00020290066 0.00020784946 0.00016331028 0.00018145586 0.0001451647 0.00017485747 0.00017815667 0.00018145586 0.00017815667 0.00016495989 0.00016990867 0.00017485747 0.00015671189 0.00017815667 0.00015836148 0.00017485747 0.00019960146 0.00017485747 0.00016001108 0.0001451647 0.00017320788 0.00016331028 0.00016331028 0.00015176309 0.00015836148 0.00019465266 0.00020619985 0.00017485747 0.00016001108 0.00016331028 0.00014351509 0.70727086 0.0 1.65239e-06 1.65239e-06 0.0 0.0 0.0 1.65239e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015895992 1.156673e-05 1.817629e-05 8.26195e-07 1.4045315e-05 4.130975e-06 2.5612046e-05 1.2392925e-05 2.478585e-06 2.478585e-06 0.0 4.95717e-06 2.478585e-06 8.26195e-07 0.0 2.478585e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030347794 5.7007455e-05 7.600994e-05 0.00015201989 0.0013351311 0.0013607432 0.0047770594 0.0021960263 4.296214e-05 6.279082e-05 3.3873996e-05 2.5612046e-05 3.635258e-05 2.7264436e-05 3.3873996e-05 4.461453e-05 0.0025438545 4.130975e-05 7.931472e-05 6.940038e-05 5.7007455e-05 5.0397895e-05 0.00016689139 9.0881455e-05 3.5526384e-05 4.296214e-05 3.30478e-05 3.2221604e-05 3.8831164e-05 3.3873996e-05 3.5526384e-05 3.30478e-05 0.018494375 0.00030817074 0.008225597 0.0005915556 0.0017746668 0.001779624 0.028226953 0.01489547 4.7093115e-05 2.3959656e-05 1.0740535e-05 1.321912e-05 1.7350096e-05 1.5697706e-05 1.487151e-05 1.0740535e-05 0.034278005 0.0005122409 0.0063608754 0.0011318872 0.005647869 0.006173329 0.03515047 0.017835898 0.00012723403 0.00019746061 0.00013962695 0.00017763193 0.00013880077 0.00012558165 0.00016110802 0.0001330174 0.00014127935 3.8831164e-05 0.00015367227 1.5697706e-05 9.583862e-05 8.757667e-05 0.00075101125 0.00040814033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0060477476 0.00049158605 0.0006469107 0.00047340975 0.00041722847 0.00030734454 0.00086998334 0.0005353744 0.00035609005 0.0002478585 0.00025446806 0.0002305084 0.00025446806 0.00023629177 0.0002305084 0.00024455372 0.010701704 0.0006105581 0.0005956866 0.0006799585 0.0006816109 0.00069978717 0.0006593036 0.0006741751 0.0006750013 0.00068574183 0.0006510417 0.000660956 0.0005923818 0.00057172694 0.00056842214 0.0005965128 0.00048332408 4.130975e-06 8.509809e-05 6.279082e-05 0.0001644128 9.501242e-05 7.187897e-05 8.26195e-07 0.00030982314 0.00012392925 0.00012062447 3.30478e-06 8.509809e-05 1.65239e-05 5.7007455e-05 8.26195e-06 0.00047093115 3.7178776e-05 0.000117319694 3.800497e-05 0.00015532465 4.296214e-05 3.8831164e-05 9.336004e-05 0.00028999444 6.113843e-05 8.675048e-05 2.8916826e-05 8.840286e-05 3.800497e-05 7.187897e-05 3.30478e-05 0.0010112626 0.00032304224 0.0002635562 0.00035939482 0.00032552084 0.0002982564 0.00040979273 0.00047588832 0.00030321357 0.000364352 0.00035195908 0.0002817325 0.00048910745 0.0007361398 0.0005089361 0.0002660348 0.0014210554 0.0012227686 0.0013739623 0.0013913123 0.0013334787 0.001228552 0.0013153024 0.0012235948 0.0012450758 0.0013623956 0.0013533074 0.0012888642 0.0011194942 0.0009864769 0.0011021441 0.0013367835 1433.0 40.11654 57487.0 0.13164715 0.00022613809 0.0017395237 0.00031311426 0.00031311426 0.0002783238 0.0006262285 0.001252457 0.0012350618 0.0012350618 0.00026092856 0.00020874284 0.0021918 0.0014090142 0.011167742 0.0016351523 0.0035312332 0.0012176665 0.0005914381 0.0003653 0.00053925236 0.00045227617 0.00029571904 0.00022613809 0.00031311426 0.00040009044 0.003165933 0.00029571904 0.0011306904 0.00086976186 0.0010089237 0.0005566476 0.00022613809 0.0043836 0.0012698523 0.0047141095 0.0030615618 0.0021396142 0.0021918 0.00040009044 0.0009915285 0.002261381 0.00031311426 0.00045227617 0.0036356046 0.0029397951 0.0017395237 0.0009219476 0.0046445285 0.00086976186 0.0031485378 0.009080314 0.004696714 0.0024179379 0.00053925236 0.0012002714 0.00026092856 0.0005044619 0.00046967142 0.0003305095 0.0005218571 0.0003305095 8.6976186e-05 0.00020874284 0.00020874284 0.056847636 0.009689147 0.031955052 0.028719537 0.10684155 0.013081218 0.011620019 0.026162436 0.053664308 0.00034790474 0.0028876094 0.032372538 0.016786404 0.047784716 0.060257103 0.021848418 0.001687338 0.057404283 0.049402475 0.07485171 0.020091498 0.006766747 0.009393428 0.006157914 0.01248978 0.0007479952 0.003948719 0.00017395237 0.0040009045 3.4790475e-05 0.00012176666 4.7422104 0.0 12.0 0.0 1.0 606208.0 622592.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1287577200.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 593920.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -593920.0 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 -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 -2.018827 0.0 0.0 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 -592756.0 0.0 1432.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1432.0 606208.0 0.0 0.0 6024.0 606208.0 12.0 614400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8200.0


Input: 0.0069954987 0.0039812317 0.0038824559 0.0039032507 0.003930644 0.0039604367 0.0039164475 0.0039044505 0.003991029 0.0039250455 0.0039046505 0.0038824559 0.0039486396 0.0039236457 0.0038590615 0.003929844 0.0038926534 0.0038752574 0.003897652 0.003914248 0.0038882543 0.0039408416 0.003922046 0.003914248 0.0038798563 0.0038742577 0.003931644 0.0038718584 0.0039162477 0.003860461 0.0038586615 0.0038542626 0.0039208466 0.003881056 0.003910849 0.0038748577 0.0038640602 0.0038464644 0.0038462647 0.003938842 0.0039182473 0.003852063 0.003857062 0.003902851 0.0039034507 0.003934643 0.0038760575 0.0038722584 0.0038638604 0.0038760575 0.0039020511 0.003975633 0.0039126487 0.0038538626 0.0038954527 0.0038946527 0.0038820559 0.0038874545 0.0038296685 0.003898252 0.003877857 0.0038842554 0.0038624606 0.0038790565 0.0040538143 0.003893853 0.0039464403 0.0039460403 0.003885655 0.0039916295 0.0039168475 0.00394704 0.003857062 0.003917647 0.0038758575 0.003845065 0.003819471 0.003902451 0.0038388665 0.0038936532 0.003964036 0.0039244457 0.0038642602 0.0039700344 0.00386526 0.003918847 0.0038908538 0.003915248 0.0038494638 0.0038988518 0.0038070742 0.0039074495 0.0038952527 0.0038876545 0.0039000516 0.0039040504 0.003909049 0.0039328435 0.0038630606 0.0038726581 0.003964436 0.003963036 0.003909049 0.003848664 0.003926645 0.0039166473 0.0039046505 0.0038632604 0.0039332435 0.0038908538 0.0039376426 0.0039532385 0.0038864547 0.0038478642 0.003963436 0.0039528385 0.0039448407 0.0040212222 0.0038698588 0.0038754574 0.0038592615 0.003889854 0.003898052 0.00386566 0.003857262 0.0038630606 0.003868659 0.0038878545 0.003902251 0.0039368425 0.0038928532 0.0039156475 0.0039206464 0.0039458405 0.0038620608 0.0038374667 0.0038956525 0.003918647 0.0038350674 0.00398963 0.0038910536 0.0038948527 0.0038492638 0.00386546 0.0038990518 0.003885655 0.003893853 0.0038530629 0.0039000516 0.003893853 0.0038332678 0.0038498638 0.0038626606 0.0038252696 0.0038576617 0.0038626606 0.003902651 0.0038070742 0.0038682593 0.0038244699 0.0038994516 0.0038540626 0.0038474642 0.003918047 0.003860461 0.0038206708 0.0038210708 0.00386586 0.0038472645 0.003894253 0.0038724581 0.003848264 0.0038512633 0.0038270692 0.0038906538 0.0038244699 0.0038576617 0.0038714583 0.0038886543 0.003893853 0.003857262 0.0038930532 0.003836867 0.0038900538 0.0039208466 0.003889854 0.0038866547 0.0038426653 0.0038826556 0.003774282 0.003820071 0.003837067 0.003972834 0.0038590615 0.0038422656 0.003894253 0.0039208466 0.003816272 0.0038934532 0.0038708586 0.0038818559 0.003885655 0.0038382665 0.0038904538 0.003898252 0.0038602613 0.0038180714 0.0038920534 0.0039046505 0.003849064 0.0038674595 0.003852863 0.003902251 0.0038374667 0.0038852552 0.0038384665 0.0038440651 0.003799476 0.0038838554 0.0038430654 0.0038022753 0.0038682593 0.0039378423 0.003877657 0.003868859 0.0038816559 0.003828469 0.0038420656 0.0039054502 0.0038128728 0.003852663 0.003837067 0.0039376426 0.0038834556 0.00382367 0.003919447 0.003860661 0.0038216705 0.00390645 0.0038908538 0.003877857 0.0038716584 0.0038432654 0.003915248 0.0038344674 0.0038748577 0.0039166473 0.0038846552 0.0039590374 0.0038398663 0.0038420656 0.0038386665 0.0039256453 0.0038790565 0.0038804563 0.006015337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000156094 1.9999231e-06 1.3999462e-06 1.1999539e-06 7.0997276e-06 2.5999002e-06 1.1599554e-05 3.89985e-06 3.5998617e-06 5.9997694e-07 1.0999578e-06 3.9998463e-07 5.9997694e-07 3.9998463e-07 6.999731e-07 1.1499558e-05 0.00013329489 3.5998617e-06 1.0099612e-05 8.399677e-06 3.3998695e-06 2.8998886e-06 2.4699051e-05 1.2399524e-05 7.9996926e-07 9.999616e-08 5.9997694e-07 0.0 9.999616e-08 0.0 9.999616e-08 4.299835e-06 0.000119395416 2.2999118e-06 7.0997276e-06 1.899927e-06 1.119957e-05 2.499904e-06 1.2399524e-05 3.9998463e-06 3.89985e-06 2.9998847e-07 7.9996926e-07 9.999616e-08 2.9998847e-07 0.0 7.9996926e-07 3.779855e-05 0.0005361794 2.9198878e-05 4.16984e-05 2.2599132e-05 8.2696824e-05 5.2098e-05 0.00022339143 0.00010639591 1.7099343e-05 2.3199109e-05 7.599708e-06 4.5998236e-06 4.999808e-06 4.4998274e-06 4.1998387e-06 6.829738e-05 0.00033618708 1.8299297e-05 2.8298913e-05 2.7398948e-05 5.1398027e-05 3.279874e-05 8.489674e-05 5.1198032e-05 1.4699435e-05 1.4299451e-05 8.999655e-06 2.6998964e-06 6.399754e-06 4.399831e-06 8.499674e-06 0.00012869506 0.00064567523 0.0001118957 9.6396296e-05 7.8296995e-05 9.299643e-05 6.689743e-05 9.8096236e-05 7.3497176e-05 3.799854e-05 3.719857e-05 1.8799277e-05 2.0199224e-05 1.8799277e-05 1.5499405e-05 2.059921e-05 0.00041028424 0.0012125535 0.00034478676 0.00028038924 0.0002841891 0.00022909121 0.00017419331 0.00022359141 0.00015139418 9.659629e-05 8.85966e-05 7.8696976e-05 6.999731e-05 6.119765e-05 7.679705e-05 6.159763e-05 0.0012765509 0.00041068424 7.479713e-05 3.9098497e-05 6.289758e-05 0.00014849429 0.00010899582 7.5497104e-05 0.00010099612 0.0001952925 8.999655e-06 1.5799393e-05 2.3699089e-05 7.919696e-05 3.0698822e-05 7.629707e-05 0.00018689282 0.00072287227 0.00016329373 9.099651e-05 0.00013449484 0.0002918888 0.00024579055 0.00015479406 0.00017899313 0.0003594862 2.2599132e-05 5.4197917e-05 5.3497944e-05 0.00013969463 5.7697784e-05 0.00019199263 0.0004143841 0.061493937 0.06154534 0.061610036 0.061557237 0.061616033 0.06168003 0.06168223 0.06167323 0.061629333 0.06162853 0.061560836 0.06167253 0.06172923 0.061610933 0.06151464 0.061665233 23043.0 5.707026 131507.0 0.010569779 0.010098321 0.010455717 0.0104253 0.010227593 0.0096876975 0.010105926 0.010067905 0.0100146765 0.010067905 0.009588843 0.0099538425 0.010151551 0.010524155 0.010432905 0.009550822 0.01033405 0.009794155 0.010584988 0.010767488 0.010448113 0.009999468 0.009862592 0.009931031 0.009497593 0.0106990505 0.010235197 0.0103112385 0.0103416545 0.009999468 0.010394884 0.0102504045 0.01033405 0.010493738 0.010349259 0.010501342 0.010577383 0.010356863 0.010630613 0.010957591 0.009832176 0.01038728 0.010432905 0.010174363 0.0104024885 0.010615405 0.0100146765 0.010455717 0.0109651955 0.010029884 0.009718114 0.010379676 0.009931031 0.009778948 0.010045093 0.011345403 0.010143947 0.010105926 0.009611656 0.0103416545 0.010212384 0.009664885 0.010151551 0.010486133 0.010067905 0.011619153 0.01020478 0.010691446 0.010911967 0.013238839 0.010417696 0.010151551 0.010919571 0.01137582 0.010470926 0.009680093 0.011474675 0.010782696 0.0113530075 0.011527903 0.010775092 0.010045093 0.011687591 0.011641966 0.011930924 0.011124883 0.010318843 0.010105926 0.010121134 0.010440509 0.010242801 0.010174363 0.010524155 0.010539363 0.01029603 0.0103416545 6.582808 0.0 0.0 0.0 70.0 5001216.0 1097728.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1252502700.0 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 -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 1.0 9.0 0.0 5.0 0.0 5.0 0.0 25600.0 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 6656.0 0.0 0.0 0.0 0.0 0.0 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 -25600.0 0.0 37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0281763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4298774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4933524 0.0 5.4420757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -593920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -419484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25506.0 0.0 37336.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 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 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 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 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 180.0 35352.0 37336.0 1056768.0 0.0 0.0 15520.0 11182840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.05663632 0.0082988925 0.006171396 0.0056498693 0.005754382 0.004968988 0.004205324 0.005417045 0.0050497004 0.0056177913 0.0037469189 0.004473331 0.004950362 0.0031757234 0.004321219 0.0046326863 0.0050445264 0.0037583015 0.0049296664 0.0041711763 0.0043501924 0.0031808973 0.004104951 0.0038390139 0.005077639 0.003347496 0.0031715843 0.002929447 0.0041390983 0.0034354518 0.0037862405 0.0037893448 0.0061693266 0.0038214228 0.0034913297 0.003025681 0.004885171 0.0041701416 0.003843153 0.0037200148 0.004733059 0.0038948918 0.0033402524 0.0031012197 0.004371923 0.0037210495 0.0037262235 0.0035761811 0.00550914 0.003952839 0.0030919067 0.0028870213 0.0036724152 0.0030877674 0.002682136 0.0028642563 0.00417842 0.0033123137 0.0035182338 0.003351635 0.004007682 0.0032357404 0.0034965035 0.003457182 0.006597723 0.0039476654 0.0036217112 0.003232636 0.0041577243 0.0032171144 0.0035378945 0.0030639677 0.0050021005 0.003769684 0.0037127715 0.0035792855 0.0041380636 0.0031281237 0.0035616944 0.0034654601 0.0051583517 0.0036258504 0.003645511 0.0033319744 0.0039249 0.003379574 0.003365087 0.0035378945 0.0046482077 0.003645511 0.0038038315 0.0035068511 0.0041059856 0.0033816434 0.003696215 0.0037883099 0.005904424 0.0036330938 0.003338183 0.002952212 0.0040045776 0.003049481 0.0032657487 0.0030339593 0.0049720923 0.0031560627 0.0031974537 0.00305362 0.0035741115 0.002851839 0.0030867327 0.0031922797 0.004521965 0.0032843747 0.0032284968 0.0031343324 0.0038855788 0.0033350787 0.003287479 0.0036299895 0.0046244077 0.003291618 0.0034778775 0.00316848 0.0040335516 0.0031922797 0.0034695994 0.003346461 0.008635194 0.0045975037 0.00401803 0.0035223728 0.0043688184 0.0034354518 0.0030194724 0.003393026 0.0045436956 0.0038390139 0.0029677337 0.0031891754 0.0037293278 0.002795961 0.0028394216 0.0029822206 0.0052214726 0.0032119404 0.0034954688 0.0030277506 0.0036713805 0.0031829667 0.003306105 0.0032667834 0.0045416257 0.002838387 0.0030525853 0.0027017966 0.0035109904 0.0032284968 0.0029822206 0.003153993 0.005019692 0.0034219997 0.0032698878 0.002806309 0.0037758925 0.0030184377 0.003048446 0.0031840017 0.0041328897 0.002998777 0.0031374367 0.003017403 0.0036517198 0.0028321783 0.0029190993 0.003040168 0.0046678684 0.003112602 0.0038400486 0.0028549433 0.0035668681 0.0031664104 0.002988429 0.003126054 0.0042549935 0.003149854 0.0033340438 0.0031757234 0.0036579284 0.0032015927 0.0033402524 0.0033443917 0.006708444 0.004058386 0.0037231192 0.0033392177 0.004128751 0.0032543663 0.0032926528 0.003231601 0.004329497 0.0033278351 0.003117776 0.0030836284 0.0036475805 0.0029853247 0.0030774197 0.0028001003 0.0042456803 0.0032812704 0.00309915 0.002998777 0.0037138062 0.0030184377 0.0029418643 0.0029511773 0.0039776736 0.003104324 0.002722492 0.0026386753 0.0035389292 0.0029511773 0.0035885985 0.002888056 0.004959675 0.003250227 0.0033868174 0.0029687684 0.0038090055 0.0030701763 0.0032057317 0.0029077167 0.0044422876 0.0054532625 0.003466495 0.0031384714 0.0037934838 0.0030825937 0.0032522967 0.0031829667 0.0046078516 0.0033164527 0.0034106171 0.0030380983 0.0037479538 0.0031001847 0.003314383 0.0032491924 0.004348123 0.0030432723 0.003181932 0.002865291 0.0040025082 0.003095011 0.0042270543 0.0045116176 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099164635 0.062022604 0.062461123 0.0553204 0.06060856 0.05954543 0.05495652 0.05447498 0.060467567 0.053170823 0.052160047 0.05298318 0.05641618 0.05056406 0.056658767 0.05382342 4040.0 5.702475 23038.0 0.017275805 0.010547791 0.009462627 0.008724716 0.013456029 0.012457679 0.011849987 0.011459328 0.012631305 0.009723066 0.008594496 0.008681309 0.013846688 0.0105043845 0.011763174 0.009853286 0.016668113 0.0119368 0.008637902 0.007465926 0.00980988 0.008681309 0.007856585 0.00842087 0.010287351 0.008551089 0.009592847 0.008898342 0.011459328 0.0090719685 0.00954944 0.009202188 0.01810053 0.010808229 0.010330758 0.009028561 0.010808229 0.008854935 0.010721417 0.00829065 0.014237347 0.011676361 0.0097664725 0.008985155 0.011502734 0.009332407 0.011632955 0.009636253 0.014714819 0.009679659 0.009896693 0.0090719685 0.01206702 0.009375813 0.00954944 0.009723066 0.013629655 0.009289001 0.0105043845 0.009592847 0.011155482 0.009853286 0.010330758 0.01067801 0.017883496 0.010981856 0.009636253 0.008160431 0.013021964 0.008203837 0.009332407 0.00829065 0.015365917 0.009245594 0.008854935 0.008637902 0.011329109 0.008160431 0.009983505 0.007813178 0.013238996 0.0079868045 0.008681309 0.008724716 0.011415921 0.009506034 0.0083340565 0.008030211 0.011068669 0.008854935 0.0119368 0.008507683 0.011242296 0.008985155 0.010070318 0.008768123 6.554864 0.0 0.0 0.0 14.0 966394.0 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: 0.18029289 0.0106881345 0.005369292 0.0058846 0.011416052 0.0040251673 0.0034666166 0.0030594154 0.014605195 0.0016215983 0.0016215983 0.001881054 0.00858366 0.0018918646 0.0013369176 0.00753863 0.0085224 0.0020360067 0.00081440265 0.0009765625 0.0041440846 0.0021657345 0.0011207046 0.0008576453 0.0033404925 0.0013441248 0.0006414322 0.0010918762 0.0026089714 0.0007243139 0.0008324204 0.00104503 0.0060179313 0.000836024 0.0015639415 0.0011747578 0.0053188424 0.0010234087 0.00057656824 0.000868456 0.0021909594 0.00047927236 0.00045404752 0.0018738469 0.0016756515 0.0019459178 0.00093331985 0.00039999423 0.0039026465 0.0021188883 0.0025405039 0.008385465 0.0036936405 0.002756717 0.00247564 0.0023747406 0.003174729 0.0033981493 0.0019783499 0.005441363 0.003473824 0.0027423028 0.0021369061 0.00258735 0.009217885 0.004309848 0.0037837292 0.017383533 0.006864766 0.012637655 0.0049332622 0.0026414033 0.0026630247 0.001535113 0.001463042 0.00089728436 0.0021044742 0.0066377423 0.002605368 0.001776551 0.008590867 0.0027278885 0.0013621425 0.0033981493 0.002154924 0.0063782865 0.0068683694 0.0044251615 0.001848622 0.004558493 0.00078197074 0.0019675393 0.0012035862 0.006446754 0.0048792087 0.0039098538 0.0015603378 0.0037008475 0.0012612431 0.0030810367 0.004075617 0.007344038 0.003127883 0.0010702548 0.0040251673 0.0031603149 0.006028742 0.0009981839 0.003239593 0.0013693497 0.0037332794 0.0049152444 0.0026161785 0.00063062157 0.0059098247 0.0039963387 0.013967366 0.013834035 0.0022774446 0.0013909709 0.0019423143 0.0018342078 0.0007062961 0.00046846172 0.0017405155 0.0032684214 0.0020179888 0.0018089829 0.003207161 0.0023278943 0.0009873732 0.013289899 0.0033621136 0.008644921 0.0010666513 0.0010918762 0.0023278943 0.013617822 0.0013621425 0.04327505 0.0012035862 0.010097152 0.000699089 0.0007135032 0.0016684444 0.00046125462 0.00046485817 0.0009981839 0.0010990832 0.0009729589 0.0004468404 0.00040359778 0.0012648467 0.00068467483 0.0004324262 0.00044323684 0.0011603436 0.00067386415 0.0006342251 0.0005297221 0.0015495272 0.0015819592 0.00042161555 0.0011963792 0.001117101 0.00081440265 0.00045765107 0.00041440845 0.0017729474 0.00043602975 0.00039999423 0.00054773985 0.001117101 0.00037837293 0.00033513032 0.00040720133 0.0017549297 0.0008180062 0.00043602975 0.00056936115 0.001117101 0.0005801718 0.0008504382 0.0010810655 0.0025044684 0.00063062157 0.00057656824 0.00047927236 0.0010738584 0.00067026063 0.0007243139 0.00055494695 0.008835909 0.004284623 0.0042702085 0.005682801 0.003383735 0.0007675565 0.0037188653 0.0068035056 0.0033801314 0.0026305928 0.00079278136 0.0011711543 0.011387223 0.0005585505 0.0024071725 0.0016648408 0.0024900541 0.0010810655 0.001574752 0.0009981839 0.0014450242 0.0003495445 0.00090088794 0.000627018 0.0025585217 0.0015567343 0.0005981896 0.0017008764 0.0018666397 0.0015098881 0.00068827835 0.00063062157 0.0032179717 0.0008612489 0.0007135032 0.00045404752 0.0020143853 0.0024432081 0.00047206527 0.00055134343 0.019138463 0.0031891433 0.00048647946 0.0048972266 0.0072755706 0.00033513032 0.0004828759 0.00047927236 0.0067386418 0.0023351014 0.0007098997 0.00091169856 0.0030125692 0.00051891146 0.0032900427 0.002097267 0.004468404 0.0017513261 0.0011098939 0.0015170953 0.0055026235 0.0032828355 0.0054053273 0.050918184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003016493 0.00012839989 0.00012839989 1.6276043e-05 0.00011393229 5.4253473e-05 3.7977432e-05 4.159433e-05 2.170139e-05 1.2659143e-05 9.042245e-06 7.233796e-06 1.808449e-06 5.4253474e-06 9.042245e-06 9.94647e-05 0.012812861 0.0001989294 0.0005533854 7.776331e-05 0.0012405961 0.00021882234 0.0011971933 0.00063657406 0.00049189816 0.00014286747 0.000104890045 4.8828126e-05 5.787037e-05 7.052952e-05 8.138021e-05 0.00058412907 0.04109158 0.0010760272 0.0015389902 0.0004231771 0.004844835 0.00065827544 0.0020236545 0.0011230469 0.00032552084 0.0016908998 0.0004159433 0.0005859375 0.00059859664 0.00058051216 0.00023509839 0.005750868 0.012619358 0.0005081742 0.0007016782 0.0001989294 0.0021158855 0.0007179543 0.004333044 0.002428747 0.00016276042 0.0003092448 0.0007052951 0.000108506945 9.94647e-05 0.000112123846 0.0001066985 0.00069806137 0.021545863 0.00064380787 0.0023093894 0.0012369792 0.0067491317 0.0027651186 0.011078559 0.0057436344 0.0005913628 0.00043583623 0.00047381365 0.0002622251 0.000265842 0.0005371094 0.0002803096 0.00063657406 0.010295501 0.0005497685 0.0014196326 0.00066189235 0.00255353 0.0010687934 0.006362124 0.0035282841 0.0005570023 0.00034179687 0.0004376447 0.00024233217 0.0007143374 0.00023148148 0.00027850116 0.0003870081 0.0131546585 0.0023582175 0.0028121383 0.02513925 0.005202908 0.002445023 0.0075538917 0.004591652 0.0019115306 0.0018590856 0.0018229167 0.0015769675 0.0016963253 0.0020887586 0.0018916377 0.0016728154 0.010818142 0.0013708044 0.00097475405 0.0017777054 0.0037452981 0.0021918402 0.00190068 0.0017270689 0.0051016347 0.00045753762 0.0005407263 0.00048104746 0.0043384694 0.0003797743 0.0013382523 0.0035970053 0.071582034 0.011628328 0.008553964 0.01026114 0.026513672 0.024889685 0.0090567125 0.01706995 0.048381437 0.0032515915 0.003991247 0.0054271556 0.029754413 0.005803313 0.020898437 0.03997396 0.06524161 0.013832827 0.008367694 0.012930411 0.028606048 0.026671007 0.009214048 0.021670645 0.050079573 0.003846571 0.004450593 0.0056568286 0.02439417 0.010772931 0.0220034 0.040409796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1292.0 16.616098 21468.0 0.027808832 0.0007452953 0.0007918763 0.0011645239 0.0071268864 0.0009782001 0.00093161914 0.003260667 0.005310229 0.00083845726 0.0007452953 0.0013042669 0.004564934 0.0015371717 0.0076392773 0.001117943 0.013275573 0.008524315 0.010573877 0.010946525 0.012902926 0.012716602 0.011412335 0.012017887 0.011086268 0.010340973 0.009409353 0.0112260105 0.013834544 0.011365754 0.008850382 0.01602385 0.032466926 0.010434135 0.0027482766 0.0086174775 0.0061486866 0.0039593815 0.0051239054 0.005310229 0.0070803054 0.0035867337 0.0006521334 0.0012111049 0.005449972 0.002282467 0.0027016955 0.0018632383 0.010387554 0.002282467 0.0029346002 0.0068474007 0.007685858 0.0035867337 0.01071362 0.005543134 0.0050773243 0.002049562 0.0014905906 0.0015371717 0.004238867 0.0016769145 0.0018632383 0.015138811 0.005682877 0.033025898 0.008990125 0.030883174 0.02524688 0.069126144 0.007033725 0.0076392773 0.010853363 0.029904975 0.0035401527 0.004518353 0.028041737 0.009455934 0.035681013 0.050214272 0.014440097 0.0008850382 0.050866406 0.028973356 0.051984347 0.018213155 0.006195267 0.0027016955 0.009595677 0.01164524 0.0017234954 0.0007452953 0.0038662194 0.0009782001 0.0027016955 0.0015837526 5.8113413 0.0 0.0 0.0 3.0 277504.0 311296.0 1.0 0.0 114.0 1.0 1.0 0.0 0.0 0.0 1516091800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 195072.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -195072.0 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 -6.5536346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.728244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.679715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648196 0.0 4.8716445 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54066.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -194961.0 0.0 480.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 251944.0 480.0 290816.0 0.0 0.0 0.0 0.0 14000.0 294912.0 56.0 201344.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 230296.0 0.0 0.0 468.0 200704.0 0.0 0.0 0.0 0.0


Input: 0.1383113 0.0030028045 0.0022696315 0.0022015225 0.0023397435 0.009623397 0.0025761218 0.0023657852 0.0021514422 0.0022055288 0.0020973557 0.0021734776 0.0020973557 0.002227564 0.002139423 0.0025921473 0.002275641 0.0024579328 0.0026201922 0.0043489584 0.0038721955 0.003409455 0.0032291666 0.0021233975 0.0021875 0.0022816507 0.0020873398 0.0022796474 0.0021734776 0.0021374198 0.0045292466 0.004617388 0.0023878205 0.0021294071 0.0045693107 0.0023177082 0.0023177082 0.0021454326 0.0021694712 0.0022936699 0.0022956731 0.0021834937 0.009719552 0.0026201922 0.0022956731 0.002159455 0.0021614584 0.0021814904 0.0020072116 0.0020853365 0.002147436 0.0020592948 0.0019991987 0.0020392628 0.00244992 0.0021153847 0.0020853365 0.0021534455 0.0021494392 0.0020392628 0.0021334135 0.0019831732 0.0021534455 0.0023637821 0.0021995192 0.0020052083 0.0021374198 0.0020232373 0.0023657852 0.0021254006 0.0021494392 0.0021073718 0.0021754808 0.0021274039 0.00203125 0.0021774839 0.002089343 0.0022215545 0.002235577 0.0021113781 0.0020472757 0.0020733173 0.0021434296 0.0019891828 0.0020853365 0.0019511218 0.009561298 0.002686298 0.0021254006 0.002109375 0.0020773236 0.001993189 0.0023096956 0.0020773236 0.002139423 0.0021814904 0.002275641 0.002051282 0.0021514422 0.002079327 0.0021374198 0.0023317307 0.004170673 0.002207532 0.0022475962 0.0021915063 0.0021334135 0.0021995192 0.0024539263 0.0021915063 0.0021073718 0.0021213943 0.002207532 0.0020172275 0.0022095353 0.0019631411 0.0021895033 0.002217548 0.002167468 0.0022415866 0.0020472757 0.002119391 0.0021033655 0.0020472757 0.0019771634 0.0020873398 0.0021173877 0.0022736378 0.0026682692 0.0020833334 0.0021033655 0.0019951924 0.0021274039 0.002049279 0.0021314102 0.002167468 0.0021995192 0.0021614584 0.0022035257 0.002471955 0.002207532 0.0021033655 0.0020933494 0.002159455 0.0022415866 0.0020653044 0.0021514422 0.0020653044 0.0022736378 0.0021053685 0.0020833334 0.0027083333 0.018333333 0.009757612 0.0020192307 0.0021614584 0.0021614584 0.0021354167 0.0020873398 0.002215545 0.0019391025 0.0021514422 0.0022395833 0.002139423 0.002373798 0.0022876603 0.0024258813 0.0022295674 0.0020733173 0.0019891828 0.0022055288 0.002167468 0.0021895033 0.0021254006 0.0021133814 0.0019771634 0.0021694712 0.002021234 0.0022716345 0.0020973557 0.002255609 0.002089343 0.0022596153 0.0021554488 0.13373598 0.0020552885 0.0020352565 0.002275641 0.0021534455 0.0021875 0.0020873398 0.0023397435 0.002520032 0.0020292469 0.0021153847 0.0020552885 0.0021294071 0.0021574518 0.0020873398 0.0021294071 0.0020572916 0.002089343 0.002313702 0.0020232373 0.0021854967 0.0019791666 0.0022015225 0.0021494392 0.002051282 0.0020372595 0.0021654647 0.0022115384 0.0020532853 0.002159455 0.0020452724 0.0023377403 0.0020612981 0.0021935096 0.0021654647 0.0021414263 0.0020813302 0.0021213943 0.0019951924 0.0022215545 0.0024138622 0.0020833334 0.0020592948 0.0019851762 0.0021494392 0.0021654647 0.0021294071 0.0021935096 0.0021834937 0.0022976762 0.0021414263 0.0021694712 0.0021334135 0.0018609776 0.0022135417 0.0024038462 0.0026522435 0.002227564 0.0024579328 0.0020452724 0.0022335737 0.0020653044 0.0020753206 0.0022936699 0.0022475962 0.002215545 0.0019270834 0.0021875 0.0021935096 0.0021714743 0.0025260416 0.11553486 0.002057613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020033596 8.037551e-06 6.0281636e-06 1.0046939e-06 8.037551e-06 1.0046939e-06 5.02347e-06 1.0046939e-06 8.037551e-06 3.0140818e-06 6.0281636e-06 1.0046939e-06 5.02347e-06 0.0 0.0 1.0046939e-06 0.0072759935 0.00018687308 9.343654e-05 1.0046939e-06 2.0093878e-06 0.0 8.941776e-05 5.123939e-05 2.6122043e-05 1.0046939e-06 0.0 0.0 2.0093878e-06 1.0046939e-06 2.0093878e-06 0.0004983282 0.0050566248 9.5445925e-05 6.128633e-05 4.0187756e-06 4.0187756e-06 4.0187756e-06 5.2244086e-05 4.1192452e-05 7.9370824e-05 1.30610215e-05 1.7079798e-05 9.042245e-06 3.7173675e-05 1.004694e-05 1.7079798e-05 0.00067113555 0.009181898 0.0007404594 0.00014568062 9.042245e-06 0.0 8.037551e-06 9.1427144e-05 1.1051633e-05 2.1098573e-05 1.4065715e-05 8.037551e-06 6.0281636e-06 5.9276943e-05 6.0281636e-06 1.1051633e-05 0.0020324958 0.033400044 0.003053265 0.00050737045 7.836612e-05 3.0140818e-05 3.616898e-05 0.00045010287 0.00015673225 0.00020395286 0.00034159594 0.00022304205 0.00011353041 0.00020294817 0.00010247878 0.00016979327 0.01442841 0.033580888 0.0060814125 0.00096852495 9.5445925e-05 3.7173675e-05 4.822531e-05 0.0004993329 8.740837e-05 0.00019290124 0.001864712 0.00024012185 6.0281636e-05 0.00016376511 5.9276943e-05 0.00012458205 0.02379718 0.01807143 0.0014487687 0.0009182902 0.00014467593 9.645062e-05 0.00033858186 0.00076959556 0.000108506945 0.00023911716 0.0033034335 0.0003797743 9.645062e-05 0.00020696694 9.2431845e-05 0.00020294817 0.016792454 0.019241897 0.0008499711 0.0056323144 7.9370824e-05 3.918306e-05 0.0052927276 0.00055559573 7.434735e-05 0.00017381205 0.012253247 0.00031949268 0.00025720164 0.00020294817 0.00023610308 0.0001989294 0.036897384 0.010124301 0.00076758617 0.0026333027 9.94647e-05 9.343654e-05 0.0023811245 0.0004470888 0.0001155398 0.00018285429 0.006259243 0.00022505144 0.00023911716 0.00020998104 0.00025820633 0.00025318286 0.016862784 0.001966186 0.00027126737 0.0003948447 6.73145e-05 7.736143e-05 0.00026825326 0.00019692001 6.6309796e-05 0.00010046939 0.0005334925 0.00011051633 9.94647e-05 7.434735e-05 7.434735e-05 8.8413064e-05 0.0017833317 0.0014748907 0.00041996207 0.00054253475 8.33896e-05 3.114551e-05 0.00031547388 0.00032652554 0.000114535105 6.53051e-05 0.00061989616 2.9136125e-05 2.9136125e-05 3.7173675e-05 1.7079798e-05 3.3154898e-05 0.0020335005 0.0016456887 0.00014367123 0.00021199042 0.00013965246 0.00023409369 0.00016075103 0.00025217817 0.00018486369 0.0002622251 7.535204e-05 6.229102e-05 0.00027629084 0.00012960551 8.2384904e-05 0.00011051633 0.00014367123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030553747 0.029821325 0.031004855 0.030287502 0.030809944 0.03000217 0.0304151 0.030188039 0.030538676 0.030677324 0.030224208 0.15255573 0.030260377 0.030429166 0.030748658 0.030536667 0.003098476 0.0028533307 0.002852326 0.0028603636 0.0028874904 0.0028041007 0.0028111336 0.002776974 0.0029166264 0.0027729552 0.0028814622 0.012944477 0.00272473 0.00277396 0.00272473 0.00287242 71.0 12.169014 864.0 0.05787037 0.0023148148 0.005787037 0.0023148148 0.0046296297 0.0 0.0034722222 0.019675925 0.0046296297 0.0011574074 0.0046296297 0.005787037 0.026620371 0.0069444445 0.013888889 0.012731481 0.005787037 0.0046296297 0.0046296297 0.009259259 0.0 0.0034722222 0.0011574074 0.0034722222 0.010416667 0.0011574074 0.008101852 0.0011574074 0.019675925 0.009259259 0.012731481 0.011574074 0.008101852 0.009259259 0.0 0.0034722222 0.0069444445 0.0069444445 0.010416667 0.0069444445 0.008101852 0.0069444445 0.0 0.0023148148 0.0069444445 0.0034722222 0.0046296297 0.0034722222 0.008101852 0.0 0.0069444445 0.005787037 0.005787037 0.005787037 0.011574074 0.011574074 0.0023148148 0.0011574074 0.0034722222 0.0011574074 0.0023148148 0.0011574074 0.0023148148 0.0023148148 0.0046296297 0.034722224 0.0046296297 0.026620371 0.019675925 0.08564815 0.008101852 0.008101852 0.008101852 0.030092593 0.0034722222 0.0034722222 0.037037037 0.02199074 0.028935185 0.034722224 0.0069444445 0.0034722222 0.04398148 0.04976852 0.03587963 0.020833334 0.013888889 0.0 0.009259259 0.008101852 0.0034722222 0.0 0.0023148148 0.0011574074 0.0011574074 0.0011574074 5.714178 0.0 0.0 0.0 3.0 499200.0 516096.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1527867600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 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 0.0 512.0 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 -330240.0 0.0 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7591343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.103382 0.0 2.9536307 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 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -329925.0 0.0 166448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 335948.0 166448.0 344064.0 0.0 0.0 0.0 0.0 48.0 512000.0 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 335872.0 0.0 0.0 0.0 0.0


Input: 0.017408334 0.004218627 0.003988957 0.0038818815 0.004058789 0.003972663 0.003974215 0.003844638 0.00380817 0.0039082626 0.0038617079 0.0038679151 0.0038392064 0.0038973999 0.003834551 0.0038741224 0.0037841168 0.0037422176 0.003809722 0.0039160214 0.0039059347 0.003928436 0.0038454137 0.0038834333 0.0038260159 0.0038190328 0.0037709263 0.0038260159 0.0038725706 0.0038368788 0.0038236883 0.0037786853 0.0041006883 0.003789548 0.0038492933 0.003826792 0.0041340524 0.0038531728 0.003816705 0.0038291197 0.0037879962 0.0038058423 0.0037344585 0.0037949795 0.0038461897 0.0037988592 0.0038229122 0.003909814 0.00407198 0.0040052515 0.0038322234 0.0038190328 0.0039416268 0.0038306715 0.003800411 0.0038710188 0.0038586042 0.0038104977 0.0038198086 0.003919125 0.0038679151 0.0038663633 0.003835327 0.0038531728 0.0039152456 0.0040750834 0.0038748984 0.0038531728 0.0040393914 0.003964128 0.0038725706 0.0038376546 0.004514249 0.0039020553 0.003844638 0.003772478 0.0040099067 0.0038221364 0.0038570524 0.003817481 0.0038291197 0.0038803297 0.0039059347 0.0039090384 0.0038888648 0.003932316 0.0038438619 0.0038787778 0.0038586042 0.003711957 0.0037515284 0.0038283437 0.00384231 0.0037600636 0.0038229122 0.0038066183 0.0039982684 0.004033184 0.003807394 0.0039036071 0.0039090384 0.0041022403 0.0038469655 0.0038050665 0.0038485173 0.00403396 0.0037437694 0.0038384306 0.0039982684 0.003955593 0.003947058 0.0039773188 0.0038663633 0.0038112737 0.003968008 0.0039253323 0.0041720723 0.0038795539 0.0037437694 0.0038648115 0.003907487 0.0038555006 0.0038058423 0.0038531728 0.003902831 0.0037802372 0.0037763577 0.0038648115 0.00394861 0.0037856686 0.0038291197 0.0039167977 0.0038710188 0.004017666 0.0038764502 0.003782565 0.003799635 0.0042294897 0.0038329992 0.0040471507 0.0038066183 0.004093705 0.0037429936 0.0038298955 0.0038725706 0.0037406657 0.003739114 0.0038221364 0.0038896406 0.0037942037 0.003772478 0.0037771335 0.003869467 0.0038143774 0.0036987667 0.0038679151 0.0037313548 0.0038508452 0.0037856686 0.0038997275 0.0037577357 0.0038050665 0.0036925594 0.0037879962 0.003719716 0.0037088534 0.0037406657 0.0037383381 0.0038151531 0.0037406657 0.0038756742 0.0037453212 0.0038547246 0.0037693745 0.0037623914 0.00377403 0.0037833408 0.003824464 0.0038221364 0.003747649 0.0038291197 0.003843086 0.0037887723 0.0038058423 0.0039012793 0.0038283437 0.0038190328 0.0038392064 0.0037344585 0.0038904166 0.0038337752 0.003781789 0.0040618926 0.003781789 0.0038485173 0.003834551 0.003894296 0.003887313 0.0038896406 0.0038973999 0.0038454137 0.0038896406 0.0037523045 0.0037530803 0.004210868 0.003869467 0.0036964389 0.0038151531 0.0037266994 0.0038632597 0.0038570524 0.0037709263 0.0038461897 0.0037577357 0.0038190328 0.0038213604 0.0037678226 0.0038035146 0.0038655875 0.0036824725 0.0036584192 0.0037507527 0.0038089459 0.0038229122 0.0038663633 0.0037600636 0.0037367863 0.003781789 0.0037934277 0.0038748984 0.0037010943 0.0038066183 0.0039695594 0.0037810132 0.0038469655 0.003817481 0.0037973074 0.003651436 0.0038298955 0.0037848926 0.0037957556 0.0038011868 0.0038143774 0.0038190328 0.003799635 0.0038260159 0.0038671393 0.0038058423 0.003913694 0.0037429936 0.0037973074 0.0038190328 0.0038027386 0.00385938 0.0038283437 0.004199229 0.00477327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007380544 6.215195e-06 6.215195e-06 5.826745e-06 3.884497e-06 3.4960472e-06 6.215195e-06 4.2729466e-06 5.826745e-06 1.5537987e-06 2.7191477e-06 1.9422484e-06 2.7191477e-06 2.7191477e-06 1.1653491e-06 2.7191477e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00066191825 2.2141632e-05 1.7480235e-05 2.2530081e-05 5.0498456e-06 2.7579927e-05 3.884497e-06 5.0498456e-06 3.4960472e-06 6.9920943e-06 6.9920943e-06 4.2729466e-06 2.3306982e-06 1.9422484e-06 1.5537987e-06 2.3306982e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00059860095 2.8356826e-05 1.8257135e-05 3.2629774e-05 7.768994e-06 3.2241325e-05 1.4372638e-05 1.5537988e-05 4.2729466e-06 7.768994e-06 7.380544e-06 4.2729466e-06 5.4382954e-06 5.4382954e-06 6.6036446e-06 6.6036446e-06 0.0011175697 1.7480235e-05 2.330698e-05 2.6414578e-05 6.09866e-05 6.3705746e-05 0.00010099692 6.720179e-05 2.0199383e-05 1.243039e-05 1.5149538e-05 1.204194e-05 9.7112425e-06 1.243039e-05 1.5926436e-05 1.5537988e-05 0.0018878655 2.9910625e-05 6.3705746e-05 0.00011381575 0.00016781026 0.00013440358 0.00038378828 0.00021131663 3.1464424e-05 2.0976282e-05 2.2918532e-05 1.5537988e-05 2.2918532e-05 2.5637679e-05 2.3695431e-05 2.6414578e-05 0.00029133726 2.7191477e-06 4.4671713e-05 7.535924e-05 2.8745277e-05 1.243039e-05 0.00021287042 0.00010798901 9.322793e-06 3.8844968e-07 3.8844968e-07 1.9422484e-06 1.5537987e-06 7.7689936e-07 1.5537987e-06 3.4960472e-06 0.0009528671 3.340667e-05 9.517017e-05 0.0001258577 0.00022258167 0.000113038855 0.0004191372 0.00023268136 6.33173e-05 5.4382954e-06 9.7112425e-06 1.243039e-05 4.0787218e-05 1.4372638e-05 2.1753181e-05 2.408388e-05 0.0010297801 6.17635e-05 8.895498e-05 0.0001305191 0.00011847715 5.4771404e-05 0.00016353732 0.00018762119 9.672397e-05 2.1364733e-05 3.379512e-05 2.7579927e-05 0.00021753182 3.3018223e-05 2.9133726e-05 9.2062575e-05 0.00094082515 0.000115758005 0.000181406 0.00014916468 0.0004004916 0.00012003095 0.00012391545 0.0001227501 0.00032319012 2.0976282e-05 2.602613e-05 6.059815e-05 0.00032008253 3.496047e-05 8.662428e-05 0.00015537988 0.0014450328 0.00022879687 0.0004004916 0.0002486078 0.0010670712 0.00030221386 0.0001204194 0.00022025096 0.00088139233 4.0787218e-05 1.6314887e-05 0.00014411483 0.0004855621 0.00011847715 0.00021209352 0.00043273295 0.001230997 0.00032047098 0.0003698041 0.0004917773 0.00024045035 0.00030299075 0.00055470614 0.0004948849 0.00029599865 0.00017208321 0.0001915057 0.00016314887 0.00016509111 0.00016858717 0.0001681987 0.00023811965 0.060193386 0.06051813 0.06039033 0.060574844 0.060669623 0.060311474 0.060623787 0.060299043 0.060706917 0.06066574 0.059998773 0.060670014 0.060699146 0.06025282 0.060277678 0.06053095 6034.0 6.197879 37398.0 0.0118722925 0.009385529 0.009759881 0.008369432 0.009706401 0.009251832 0.00930531 0.010267929 0.008583346 0.010187711 0.009679662 0.008984437 0.009198353 0.010882935 0.01064228 0.01152468 0.01243382 0.011497941 0.009973795 0.010508583 0.009679662 0.009626184 0.009706401 0.010134232 0.010401626 0.0097331405 0.010882935 0.008770523 0.010508583 0.009519226 0.0100272745 0.008824001 0.009465747 0.013663832 0.009706401 0.00978662 0.010428365 0.010054014 0.010294668 0.009973795 0.01021445 0.010134232 0.009064656 0.00887748 0.009278571 0.009626184 0.00933205 0.009759881 0.009652923 0.010321408 0.009198353 0.012059469 0.009813359 0.0104551045 0.010267929 0.010615541 0.010749238 0.009198353 0.008957698 0.009572704 0.009947056 0.009412268 0.009626184 0.009358789 0.009706401 0.013423177 0.010267929 0.014412535 0.011150328 0.017567784 0.010107492 0.009813359 0.010294668 0.014385796 0.009572704 0.008556607 0.011417723 0.012300123 0.013690571 0.014118402 0.011444462 0.00847639 0.014733409 0.013102305 0.016150596 0.010508583 0.01021445 0.011899032 0.010134232 0.01064228 0.008717043 0.009037917 0.009198353 0.008770523 0.008369432 0.009118135 6.56743 1.0 18.0 0.0 20.0 1288808.0 1298432.0 1.0 0.0 64.0 1.0 1.0 1.0 0.0 0.0 1542258000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 2.0 5.0 2.0 12288.0 1024.0 4096.0 8.0 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 -512.0 0.0 5632.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 1250816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0275564 0.0 0.0 0.0 0.0 0.0 0.0 -2.125 0.0 4.4329686 0.0 0.0 0.0 0.0 4.1220555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1728948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.95859 0.0 7.9996552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 5580.0 0.0 0.0 0.0 0.0 708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11866.0 0.0 1250616.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 18868.0 1250616.0 40960.0 708.0 28672.0 15976.0 1272832.0 36.0 1294336.0 28.0 18752.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 18480.0 0.0 0.0 536.0 19488.0 0.0 0.0 0.0 0.0