Input: 0.39154345 0.020507812 0.025006976 0.0022088913 0.0095563615 0.0042550224 0.0030575707 0.0018484934 0.0054292222 0.0053710938 0.036039807 0.0013020834 0.0013485863 0.0013950893 0.002046131 0.0027901786 0.0011276972 0.0018717448 0.0023716518 0.00163923 0.0013020834 0.0010579427 0.0017322359 0.003638858 0.0011742001 0.001906622 0.0011276972 0.0020112537 0.000999814 0.0011160715 0.00081380206 0.004592169 0.004801432 0.0008254278 0.00096493674 0.002906436 0.00059291295 0.00069754466 0.0009300595 0.00051153277 0.016706195 0.0049293153 0.0017787388 0.001813616 0.0031156994 0.0038248699 0.002952939 0.00043015252 0.0017089844 0.0024414062 0.0016159784 0.005719866 0.0011276972 0.0011044457 0.00080217636 0.00088355655 0.0033714657 0.0009765625 0.0032319569 0.0006394159 0.00046502976 0.0006626674 0.00054641 0.00022088914 0.0008719308 0.00281343 0.0018019903 0.0027436756 0.0023832775 0.0038248699 0.0026739212 0.0008719308 0.0012904576 0.0038248699 0.00015113468 0.00017438616 0.0044294083 0.002220517 0.004952567 0.0006859189 0.0048828125 0.00043015252 0.0026971726 0.005638486 0.0036853608 0.0046154205 0.00088355655 0.0011393229 0.0006161644 0.00036039806 0.00015113468 0.00024414062 0.00013950893 0.00017438616 0.00019763765 0.007219587 0.0006161644 0.01750837 0.003406343 0.0055454797 0.006894066 0.031401135 0.0017089844 0.0067313057 0.005533854 0.018217541 0.00074404763 0.001813616 0.011067708 0.0063476562 0.014415923 0.032412574 0.013078962 0.00055803574 0.026216052 0.013706752 0.022984097 0.0052432106 0.0016159784 0.002046131 0.001860119 0.0034644718 0.000953311 0.004940941 0.00017438616 0.0026739212 0.00018601191 0.00015113468 0.0006859189 0.0005347842 0.00059291295 0.00024414062 0.00017438616 0.00023251488 0.0007672991 8.138021e-05 0.00012788319 0.00019763765 0.00016276042 0.00012788319 0.00056966144 0.0002906436 9.3005954e-05 0.00012788319 0.00218564 0.00027901787 0.00011625744 0.00025576638 0.00013950893 0.00019763765 0.0001046317 0.00013950893 0.00011625744 0.00048828125 0.0002673921 0.00012788319 0.0021740142 0.00015113468 0.00019763765 0.00016276042 0.00023251488 0.00017438616 0.00056966144 0.0002092634 0.00015113468 0.00016276042 0.00024414062 0.00016276042 0.00015113468 0.0001046317 0.00013950893 0.0002092634 0.00016276042 0.00025576638 0.00019763765 0.00011625744 0.00017438616 0.0002673921 0.00013950893 0.00023251488 0.00012788319 0.0002092634 0.0002673921 0.0002092634 0.00016276042 0.0002092634 0.0002673921 0.00013950893 0.00012788319 0.00024414062 0.0023018974 0.0023600261 0.00019763765 0.00023251488 0.00015113468 0.00015113468 0.0002092634 0.00022088914 0.00018601191 4.6502977e-05 0.00017438616 8.138021e-05 5.812872e-05 8.138021e-05 0.0001046317 0.00016276042 9.3005954e-05 0.00012788319 0.00027901787 0.0001046317 0.00011625744 9.3005954e-05 9.3005954e-05 9.3005954e-05 0.010265532 0.00036039806 0.0006161644 0.0022902717 0.0022553944 0.00012788319 0.000499907 0.00019763765 0.00018601191 0.00013950893 0.00022088914 0.00013950893 0.0002673921 9.3005954e-05 8.138021e-05 0.0004185268 0.00011625744 6.975447e-05 8.138021e-05 3.4877234e-05 5.812872e-05 0.00218564 0.0001046317 0.0022553944 0.00013950893 0.00013950893 0.00012788319 0.00012788319 6.975447e-05 6.975447e-05 0.00011625744 0.0001046317 0.00018601191 6.975447e-05 6.975447e-05 0.0001046317 0.00012788319 8.138021e-05 0.0001046317 0.00012788319 0.00012788319 0.0006859189 0.096350245 0.0 0.0 2.3531626e-05 0.0 0.0 1.1765813e-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 0.011306946 7.059488e-05 0.00014118975 1.764872e-05 0.00010589232 4.1180345e-05 0.0001764872 8.236069e-05 1.764872e-05 1.1765813e-05 1.764872e-05 2.3531626e-05 1.1765813e-05 5.8829064e-06 5.8829064e-06 1.1765813e-05 0.031726517 0.0007059488 0.00047063254 0.00040003765 0.0004235693 0.00021178465 0.0012942394 0.0006000565 0.00014118975 0.0 0.00010000941 4.1180345e-05 0.0 0.0 1.1765813e-05 1.764872e-05 0.009824454 0.00015883848 0.0006588855 4.706325e-05 2.9414534e-05 1.1765813e-05 0.00023531627 0.0009412651 5.8829064e-06 3.529744e-05 1.764872e-05 1.764872e-05 2.3531626e-05 1.1765813e-05 2.3531626e-05 5.8829064e-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 0.060123306 0.0010824548 0.0032885447 0.0007294804 0.011548146 0.011965832 0.057593655 0.033732586 0.0001823701 0.00010589232 6.4711974e-05 9.41265e-05 7.059488e-05 4.1180345e-05 5.294616e-05 4.706325e-05 0.11025744 0.004782803 0.009765625 0.009747976 0.015266143 0.016001506 0.08179593 0.045180723 0.00077066076 0.00068830006 0.0005882907 0.0037944748 0.00022943335 0.002011954 0.0001706043 0.00015295557 0.14074855 0.015930912 0.021949125 0.008806711 0.0053063817 0.001506024 0.014707266 0.014630789 0.0025943618 0.004135683 0.0017354575 0.002464938 0.0010824548 0.01204231 0.0041180346 0.0012530591 0.034415003 0.004476892 0.0050181192 0.0033532567 0.0025531815 0.0019119447 0.007506589 0.004400414 0.0006353539 0.0016413309 0.00032355986 0.00048828125 0.0003706231 0.003459149 0.0014060147 0.00032944276 0.013836596 0.0015472044 0.0069241812 0.0026826055 0.00080595823 0.0017825207 0.002847327 0.0014060147 0.0007059488 0.00055887614 0.00041768636 0.00058240775 0.00050593 0.0003529744 0.00068830006 0.00050004706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 750.0 20.637333 15478.0 0.00071068614 0.0001938235 6.460783e-05 0.0001938235 0.0005814705 0.0 0.0 0.0 0.0 0.0 6.460783e-05 0.00051686267 0.0 0.00051686267 0.0017444114 0.0 0.003811862 0.009884998 0.0035534308 0.0028427446 0.0033596072 0.0031657836 0.003101176 0.0028427446 0.0025843133 0.0020028427 0.0 0.0 0.00012921567 0.0001938235 0.0001938235 0.0 0.00012921567 0.0041349013 0.0052332343 0.008786665 0.006460783 0.0117586255 0.006913038 0.002261274 0.0034242151 0.011887841 6.460783e-05 0.0 0.013632252 0.006202352 0.007365293 0.0013567645 0.014924409 0.0006460783 0.0091743115 0.01847784 0.012275488 0.009949606 0.002261274 0.0038764698 0.0018736271 0.0001938235 0.0 6.460783e-05 0.0 0.0 0.0 0.038893916 0.0001938235 0.057307146 0.0104664685 0.017960977 0.028233621 0.1179739 0.004974803 0.02564931 0.016862644 0.064543225 0.00032303916 0.0047163717 0.037149504 0.022418918 0.046259206 0.047745187 0.012986174 0.000387647 0.057630185 0.047874402 0.08812508 0.016862644 0.004522548 0.005750097 0.005685489 0.010595684 0.0021320584 6.460783e-05 6.460783e-05 6.460783e-05 0.0 0.0 4.9924607 0.0 0.0 0.0 1.0 86016.0 98304.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1418831600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 73728.0 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 -73728.0 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 -5.3867927 0.0 3.0666156 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 -72292.0 0.0 680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 80392.0 680.0 81920.0 0.0 0.0 0.0 0.0 12.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.052871175 0.007355622 0.004306632 0.004628969 0.004573485 0.004145464 0.0042088744 0.003846906 0.004549706 0.003603832 0.0035324953 0.0035826953 0.003875969 0.0037650005 0.003352832 0.0045919796 0.0040318533 0.0035351373 0.0032154426 0.0034109585 0.0034585162 0.0042670006 0.0036196848 0.0033739689 0.0034320953 0.003424169 0.0033132005 0.0033660426 0.003403032 0.0033792532 0.0033607583 0.0035430638 0.004494222 0.003223369 0.0036434636 0.0033316952 0.004502148 0.003556274 0.0033184846 0.003252432 0.0033026321 0.0033264111 0.00340039 0.0035166426 0.0033686848 0.003252432 0.003675169 0.003403032 0.004422885 0.0036170427 0.0034188847 0.0037967057 0.003556274 0.0035060742 0.003175811 0.002951232 0.0034083163 0.0037412215 0.0033026321 0.0038204847 0.0034664427 0.0036461058 0.003352832 0.0034558743 0.0057333694 0.003981653 0.0041930215 0.0037887795 0.0041903798 0.0048641167 0.00365139 0.0037465058 0.003574769 0.0035404216 0.0033396215 0.0032392216 0.0036091164 0.003799348 0.0034638005 0.0032682847 0.004433453 0.003424169 0.003252432 0.0042379373 0.0033026321 0.003994864 0.003994864 0.0038336953 0.0036381795 0.0032048742 0.0033158425 0.0032392216 0.0034558743 0.0034400215 0.003376611 0.003677811 0.003347548 0.004156032 0.003603832 0.0037597164 0.003947306 0.005252506 0.003931453 0.0035668425 0.0043092743 0.0045444216 0.004224727 0.0032947056 0.0043647587 0.0035536322 0.004224727 0.004272285 0.004097906 0.003521927 0.0047399374 0.00435419 0.005577485 0.005284211 0.0033951057 0.0038178426 0.0038574743 0.0034400215 0.0033871795 0.0034875795 0.0033977479 0.0038072742 0.0035245689 0.0034400215 0.004121685 0.0037623583 0.0034611584 0.004274927 0.003577411 0.004074127 0.003347548 0.0033686848 0.0037887795 0.0043621166 0.0033316952 0.0056435377 0.0033739689 0.0038152006 0.0032867794 0.0034453059 0.0032682847 0.0032048742 0.003305274 0.0034136006 0.0032735688 0.0033396215 0.003477011 0.0033422636 0.00314939 0.0034611584 0.0032550741 0.0034320953 0.0033951057 0.003154674 0.003223369 0.0035324953 0.003424169 0.0034638005 0.0032656426 0.0033607583 0.0034664427 0.0032075162 0.0031705268 0.0032920637 0.003479653 0.0032603585 0.003498148 0.0032550741 0.0032867794 0.0033369795 0.0031467478 0.0033211268 0.0035351373 0.0032312952 0.0034320953 0.0034664427 0.003226011 0.0034849374 0.0033977479 0.0033211268 0.0035536322 0.00350079 0.00324979 0.0034109585 0.0032841372 0.0032101583 0.0034638005 0.0032788531 0.004301348 0.0037887795 0.0037597164 0.0035615584 0.0035324953 0.0033871795 0.0035377794 0.0038865374 0.0034453059 0.0035377794 0.003498148 0.00355099 0.0041375374 0.003276211 0.0034638005 0.003376611 0.003527211 0.003403032 0.0035642006 0.0035668425 0.0033951057 0.0033396215 0.0037095163 0.0033158425 0.003598548 0.0034347374 0.0034294531 0.003498148 0.003474369 0.0033316952 0.0033792532 0.003477011 0.0037148006 0.0033977479 0.0033871795 0.0033264111 0.0037702848 0.0033818951 0.003574769 0.0036830953 0.005017359 0.003730653 0.003424169 0.0038944636 0.0040371376 0.0032577163 0.003453232 0.00335019 0.0036857375 0.0033264111 0.003329053 0.003426811 0.0037940638 0.0034109585 0.0035404216 0.003672527 0.0041930215 0.0035351373 0.0033924635 0.0035721269 0.0037808532 0.0032154426 0.0036566742 0.01961235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020141602 1.9902769e-05 2.6537024e-05 7.4303665e-05 0.00010747495 6.899626e-05 0.000160549 8.093793e-05 3.449813e-05 9.287958e-06 1.8575916e-05 1.7249065e-05 1.7249065e-05 1.8575916e-05 2.122962e-05 2.7863876e-05 0.0019159731 3.449813e-05 3.9805538e-05 2.3883322e-05 4.511294e-05 4.9093494e-05 4.9093494e-05 3.0517578e-05 7.8284225e-05 5.8381454e-05 4.378609e-05 4.6439793e-05 9.818699e-05 1.3268512e-05 2.3883322e-05 0.00016718326 0.0029124385 4.6439793e-05 0.00023617952 0.00016187585 0.00015656845 0.00013533882 0.0010760763 0.0005466627 5.307405e-06 6.634256e-06 1.1941661e-05 1.8575916e-05 1.1941661e-05 1.4595364e-05 1.5922215e-05 7.8284225e-05 0.00919906 0.0001738175 0.0006289275 0.00043918774 0.0010973059 0.0005877951 0.003610362 0.0028474226 0.0010389246 0.00010482124 0.00024281377 0.000106148094 0.00014860733 8.889903e-05 0.00032507855 0.0010999597 0.0043825894 9.022588e-05 0.00036621094 0.00013401198 0.00061035156 0.00034896188 0.0019385297 0.0011556874 0.00017779807 0.00013931938 0.00014462679 0.00014197308 0.00029456097 9.2879585e-05 0.00012207031 0.0007297682 0.010005785 0.00049624237 0.00082264777 0.00083856995 0.0013255244 0.0008000913 0.0013679836 0.0011795707 0.0010654615 0.0005771803 0.0006820015 0.0007881496 0.0010933254 0.0006846552 0.0011530337 0.0042936904 0.008381719 0.0004975692 0.0006820015 0.00059973676 0.0007430367 0.0006634256 0.0011132282 0.0011702828 0.0009115468 0.001061481 0.0012326448 0.0015709918 0.0018403427 0.0016678519 0.0021773628 0.008295474 0.012954049 0.0020566194 0.0016240659 0.0018947435 0.0041357954 0.0029535708 0.0019119926 0.003128715 0.0043693213 0.00079743756 0.0008372431 0.0008730681 0.0024387524 0.0011835513 0.0027545432 0.004999575 0.012018618 0.002629819 0.002576745 0.0030185864 0.0035970937 0.0030822754 0.0028049634 0.003513502 0.0037921409 0.0012591818 0.00122203 0.0012114152 0.0020937712 0.0017992102 0.0025568423 0.0044542397 0.05101212 0.050263777 0.049583104 0.04953268 0.050315525 0.049284562 0.04995064 0.049388055 0.049811322 0.049435824 0.04900327 0.04946236 0.050251838 0.050108537 0.04950482 0.049287215 1950.0 8.549744 16672.0 0.020333493 0.0051583494 0.01037668 0.0049184263 0.0076175625 0.007917467 0.005878119 0.005578215 0.006837812 0.006178023 0.0060580615 0.0061180424 0.0065978887 0.007377639 0.012056142 0.009896833 0.015175144 0.009177064 0.007377639 0.0079774475 0.0072576776 0.0065978887 0.0067178505 0.0053382916 0.0066578696 0.0068977927 0.007737524 0.006477927 0.006837812 0.009896833 0.0074976007 0.0062979846 0.005878119 0.018294146 0.0065379078 0.011456334 0.017994242 0.009057102 0.008697217 0.012176104 0.0073176585 0.012416027 0.0058181384 0.0053982725 0.0071976967 0.008637236 0.009836853 0.0065978887 0.01415547 0.0055182343 0.0066578696 0.01337572 0.008637236 0.0053982725 0.0074976007 0.008457294 0.0092370445 0.0055182343 0.0053382916 0.0050983685 0.00743762 0.0057581575 0.0054582534 0.010016794 0.0047384836 0.021773033 0.00821737 0.017754318 0.016074857 0.04540547 0.009476967 0.011996161 0.011276391 0.029330615 0.0061180424 0.0072576776 0.022612764 0.0149952015 0.024832053 0.025611805 0.013675624 0.006178023 0.029090691 0.025011996 0.032689538 0.012595969 0.009476967 0.010136756 0.009357005 0.010196737 0.0062380037 0.0049184263 0.0046785027 0.006477927 0.0059980806 0.0061180424 6.3381844 1.0 13.0 0.0 9.0 378486.0 20480.0 1.0 0.0 44.0 0.0 1.0 1.0 0.0 0.0 1161588600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2560.0 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 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9983516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.35275948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.101866 0.0 4.529418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1642.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2214.0 0.0 2068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8812.0 2068.0 16384.0 0.0 0.0 5752.0 8704.0 0.0 0.0 28.0 8400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8520.0 0.0 0.0 184.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.2369115 0.01108742 0.0060240002 0.0058625718 0.006559431 0.0028561656 0.0022488108 0.0018668167 0.010414535 0.0015247801 0.0017197729 0.005277593 0.0070245373 0.0013649499 0.0010133234 0.0036984708 0.04569066 0.0016446527 0.0008950491 0.0007959544 0.004093251 0.004996292 0.0007256291 0.0008183306 0.002112955 0.0011875384 0.0008215272 0.0028705504 0.003116689 0.0008327153 0.0009445965 0.0011028283 0.005792246 0.0008758695 0.003922233 0.0015599427 0.0023878631 0.0024390088 0.0008183306 0.00082312553 0.0013729414 0.0010404945 0.0010628708 0.0014672412 0.0011108199 0.001307411 0.0014416684 0.0009781608 0.0018268592 0.0011236062 0.0013665481 0.009602598 0.0012115128 0.0017293628 0.0010772555 0.001005332 0.0019595183 0.0012802399 0.001497609 0.0029121062 0.0011715554 0.0015040021 0.0013457702 0.0013138042 0.0020602113 0.0021896737 0.0012834364 0.0018875946 0.002518924 0.019288309 0.0019195607 0.0018556286 0.0013361805 0.0011028283 0.00054821756 0.0006744834 0.0014128989 0.0071012555 0.0011443842 0.0011907349 0.00932769 0.0035418372 0.0044480744 0.0039046516 0.0016110884 0.009931848 0.003592983 0.0040996447 0.0010356996 0.0024581884 0.00220246 0.0023527006 0.0022104515 0.0012738467 0.0027171134 0.0030895176 0.00177891 0.0044960235 0.0013985143 0.0032861088 0.0029184993 0.008528539 0.0062157963 0.001444865 0.006113505 0.004714991 0.009533871 0.00094299816 0.0041140295 0.0016957984 0.0046238876 0.0055189366 0.0021097586 0.00053223455 0.005416645 0.0045279893 0.011677194 0.016659101 0.0020090656 0.0017549356 0.0016158833 0.0014049074 0.0006664919 0.00060735474 0.0010005371 0.0049946937 0.00076878327 0.0009637761 0.0036425302 0.0018604235 0.0008902542 0.011426261 0.0020841858 0.0042498847 0.0012610602 0.0006728851 0.0028673536 0.008872175 0.001529575 0.022918051 0.00092701515 0.008127365 0.0007320223 0.002773054 0.011349542 0.00086787797 0.00070005626 0.0006249361 0.0008455017 0.0008375102 0.0006856715 0.00071603927 0.0009206219 0.0009973404 0.0005146532 0.0005034651 0.00088705757 0.00076239003 0.00076239003 0.00059137173 0.0011939316 0.0010516827 0.00069526135 0.0013681465 0.001291428 0.00060096156 0.0008199289 0.00059297006 0.0017373542 0.0010277082 0.00078636454 0.00083111704 0.0010277082 0.00051944813 0.0010436912 0.000952588 0.0010612725 0.0005626023 0.0005530125 0.00075599685 0.0009973404 0.0011395894 0.0006345259 0.0010229133 0.0022472125 0.0007208342 0.0008694763 0.0006569021 0.001371343 0.00092701515 0.000952588 0.0005226447 0.0061167018 0.003879079 0.004985104 0.0013969159 0.0029936195 0.00067128683 0.0016686273 0.003519461 0.0017453458 0.0040532937 0.0009781608 0.0006664919 0.0016158833 0.0005050634 0.0009062372 0.0006664919 0.0021784855 0.0014240871 0.0013745397 0.00072722737 0.0014880191 0.00053543114 0.00075599685 0.0006441157 0.0019707063 0.0009909472 0.00084710005 0.0006329276 0.0020570147 0.003562615 0.00068886817 0.0004826872 0.0027554727 0.0016270714 0.001730961 0.0011907349 0.0018108761 0.0007400138 0.000714441 0.00069046643 0.017285636 0.0022472125 0.0012019231 0.0055908603 0.0061007184 0.0005865768 0.00092381856 0.00083910854 0.0038135485 0.00085029664 0.0010420929 0.0012898297 0.0045503657 0.0012930263 0.001476831 0.0016542425 0.008081014 0.001153974 0.0015327716 0.0019707063 0.009802386 0.002461385 0.00680557 0.053742904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0088547 3.0417521e-05 0.00015288807 3.3619366e-05 5.0429047e-05 5.122951e-05 0.0003578061 0.00020892033 8.00461e-06 1.12064545e-05 6.4036885e-06 4.002305e-06 1.6009221e-06 6.4036885e-06 5.6032272e-06 5.283043e-05 0.072819546 0.00036340932 0.0012471183 0.0003474001 0.00044265497 0.0004994877 0.002711962 0.001757012 9.285349e-05 0.00013447746 7.924565e-05 4.8027665e-05 4.4025357e-05 6.563781e-05 0.00021852588 0.0010958312 0.00939181 0.00015769083 8.404841e-05 4.8027665e-05 9.445441e-05 6.0835042e-05 0.00018650743 0.00014008068 0.00032178534 4.9628587e-05 5.923412e-05 5.283043e-05 3.842213e-05 4.5626282e-05 7.2841955e-05 0.00067158684 0.0060146647 3.9222592e-05 5.923412e-05 6.0835042e-05 0.00020411758 6.723873e-05 0.00050429045 0.00020811988 2.7215676e-05 7.764473e-05 2.0811987e-05 2.5614754e-05 3.5220288e-05 3.762167e-05 7.4442876e-05 0.0007404265 0.006102715 8.164703e-05 5.6032273e-05 9.685579e-05 0.0003185835 0.00012567239 0.00012807376 6.403688e-05 0.00018570697 0.00014008068 6.563781e-05 4.3224896e-05 6.643827e-05 8.164703e-05 0.00016409451 0.00047627435 0.031687852 0.00057313015 0.00302094 0.00040343238 0.0012319096 0.00065157533 0.009358991 0.0046242634 0.00046586833 0.00014088115 0.00013928022 8.725026e-05 0.00016329405 0.0021588434 0.00013127562 0.0008989178 0.00935739 0.0002857646 0.00027856044 0.0003474001 0.0003986296 0.0002977715 0.00054191216 0.00034179687 0.00019691342 0.00018330559 0.0001809042 0.00016889728 0.00025934938 0.0002033171 0.0003225858 0.0030289446 0.014917392 0.0007388256 0.0007780482 0.0063252435 0.00072681863 0.00032018442 0.001265529 0.00036661117 0.0019123015 0.0005875384 0.00050349004 0.0002449411 0.00053790986 0.0012871413 0.0006571785 0.0048964205 0.0049660606 0.00045226052 0.00033779457 0.00087330304 0.000117667776 0.00016409451 0.0033755442 0.0001584913 0.0020819993 0.0006851947 0.00017049821 9.925717e-05 0.00025374617 0.00031538165 0.00026335169 0.0020787974 0.0063364496 0.00038422132 0.00039782914 0.0010101818 0.00035860654 0.00034099643 0.0006972016 0.00033779457 0.00057873334 0.0005987449 0.00041303792 0.00027856044 0.00039542778 0.00037141395 0.00072121545 0.0031730277 0.0012407147 0.00016409451 7.924565e-05 7.8445184e-05 0.00021212218 0.00026415216 0.00017930327 0.00014648438 0.00026975537 6.563781e-05 3.121798e-05 5.202997e-05 0.000108062246 4.9628587e-05 9.925717e-05 0.0002385374 0.0006219582 0.00055792136 0.00020892033 0.00012006916 0.00010325948 0.00019851435 0.00062435964 0.0001584913 0.00025934938 0.00014488345 0.00027455814 0.00026175077 0.00010165855 5.283043e-05 0.0009293353 0.0003001729 0.13139649 0.0680504 0.021461962 0.021959048 0.042823065 0.05423364 0.04664847 0.0477395 0.06786469 0.019483222 0.013340484 0.013382909 0.03408123 0.015532947 0.041764855 0.083187915 0.0012022925 0.0008757044 0.00024093878 0.00022973232 0.0003762167 0.0005643251 0.0007036053 0.0004770748 0.00068199285 0.0002977715 0.00025614753 0.00026575307 0.00033219135 0.00018330559 0.00067078636 0.0008388832 1834.0 6.854962 12572.0 0.0072383075 0.0018294622 0.022589883 0.0034202992 0.0076360167 0.0050111357 0.0016703786 0.0017499204 0.0037384664 0.0019090042 0.0032612153 0.0033407572 0.0042952592 0.0032612153 0.0046134265 0.0015908368 0.004374801 0.0027044225 0.005408845 0.17960547 0.004136176 0.0042952592 0.0027044225 0.001988546 0.013919822 0.0032612153 0.00604518 0.00692014 0.0019090042 0.0023862552 0.0035793828 0.0047725104 0.0033407572 0.0069996817 0.004056634 0.010260898 0.011851734 0.04160038 0.00692014 0.0056474707 0.0026248808 0.0034202992 0.0018294622 0.0015908368 0.0027044225 0.017181037 0.0037384664 0.0033407572 0.021237671 0.008192809 0.009783646 0.010260898 0.0038180084 0.022669423 0.008749602 0.010022271 0.0032612153 0.0049315942 0.004056634 0.0046929684 0.005408845 0.0027044225 0.006363347 0.00604518 0.0034998409 0.009226853 0.0022271716 0.008749602 0.0098631885 0.021237671 0.12917595 0.0032612153 0.014874324 0.012249443 0.025135221 0.0025453388 0.015510659 0.0050111357 0.009385937 0.015033407 0.004136176 0.0012726694 0.013124404 0.009783646 0.027044225 0.03643016 0.0050906776 0.004374801 0.0033407572 0.0038180084 0.0013522112 0.0009545021 0.0026248808 0.011374483 0.0019090042 0.0019090042 5.3570952 0.0 0.0 0.0 17.0 625664.0 643072.0 0.0 0.0 24.0 0.0 1.0 0.0 0.0 0.0 1472492000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 231424.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 29184.0 0.0 0.0 0.0 0.0 0.0 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 -231424.0 0.0 362496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2908521 0.0 0.0 0.0 0.0 0.0 1.4045662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5981355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7457337 0.0 6.002328 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 29160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -230914.0 0.0 362372.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 280.0 265700.0 362372.0 278528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.0096783135 0.0040004714 0.0038357747 0.003916351 0.003968763 0.003863566 0.0039225062 0.003848085 0.0039128074 0.0038797935 0.003860582 0.0038529346 0.0038917307 0.0039198953 0.0038506964 0.004035724 0.0038658043 0.0038505099 0.0038398781 0.0038995645 0.003846593 0.0038303656 0.0038833371 0.0037828032 0.0039064656 0.0038641258 0.0038503234 0.0038492042 0.0038354017 0.0038626336 0.003856292 0.0038831506 0.003982939 0.0038327905 0.003860582 0.0038486447 0.0041131293 0.0038436085 0.0038057452 0.0038572245 0.003907958 0.0038919172 0.0038357747 0.0038385727 0.0039042274 0.0038195476 0.0038697212 0.0038460332 0.0039728666 0.0039072116 0.0038458467 0.003824024 0.0038880003 0.0038299926 0.003847339 0.0038611414 0.0038411838 0.003828314 0.003876436 0.003828314 0.0038423028 0.0038294331 0.0038827776 0.0038568515 0.0037928752 0.003907958 0.0038941554 0.00391747 0.00393463 0.0039592506 0.003935563 0.003968017 0.0038281274 0.003983498 0.0038837104 0.0038551728 0.0039202683 0.0038990048 0.0038542403 0.0038363342 0.0039154184 0.0038307388 0.0039118747 0.0039407853 0.0039279154 0.0038717731 0.0038585302 0.0038762495 0.003824024 0.0038342825 0.0038242105 0.0038598357 0.003860955 0.003814325 0.0038083564 0.0038393186 0.0039135534 0.0040838458 0.0038835239 0.0039372416 0.004121896 0.004373324 0.004134766 0.0039120615 0.0039396663 0.0041731885 0.0038561055 0.0038467795 0.0040385216 0.003910942 0.004055308 0.0041239476 0.004013528 0.0038163767 0.004050459 0.0039989795 0.0042050835 0.0039139264 0.003921947 0.0038743843 0.0038423028 0.0038551728 0.0038758765 0.0038367074 0.0037947404 0.0038646853 0.0038255162 0.0038398781 0.003962608 0.0038880003 0.0038492042 0.0038917307 0.003876063 0.0038564785 0.003873265 0.0038398781 0.0038844564 0.0038937824 0.0038378264 0.0038876273 0.0038285004 0.003983312 0.0038579705 0.003911688 0.0038423028 0.0040543755 0.0038769955 0.0038590897 0.0038475255 0.003824397 0.0038544268 0.0038059317 0.003880353 0.0038350287 0.003824397 0.0038460332 0.0039605564 0.0038303656 0.003886508 0.0038326038 0.0038260757 0.003881472 0.0038359612 0.003866364 0.0038381994 0.0037930617 0.003857411 0.0038186149 0.0039060926 0.0038303656 0.0038575975 0.003852748 0.0038549863 0.00379959 0.0038495772 0.0038549863 0.0038544268 0.0038217858 0.003832977 0.003829806 0.0038253297 0.0038462197 0.003843049 0.0038342825 0.0038805394 0.0039016162 0.0038863216 0.0038654313 0.0038544268 0.0038643123 0.0038391321 0.0038311118 0.0039014297 0.003964473 0.003928475 0.003982193 0.0038312983 0.003880353 0.003877182 0.0038322308 0.0038853888 0.0038596492 0.0038792337 0.003856292 0.0038551728 0.003870654 0.0038542403 0.0038734516 0.0039139264 0.0038462197 0.0038521886 0.0038594627 0.0038452873 0.003832977 0.0038029472 0.0038277544 0.0038777418 0.0038402511 0.0038148845 0.003813579 0.0038249567 0.0038215993 0.0038290601 0.0038258892 0.0038184284 0.0039142994 0.0038906115 0.0038991915 0.0038727056 0.0038150712 0.0038693482 0.003865991 0.003917284 0.0039042274 0.0038484582 0.0038727056 0.003837267 0.0038687887 0.0038327905 0.0038581572 0.0038913577 0.0038320443 0.003869908 0.003820853 0.0038818452 0.0038779282 0.003899751 0.0038630066 0.0039046004 0.003887254 0.003794181 0.0038656178 0.003819361 0.0038840834 0.0039601834 0.0046171052 0.00038211694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016372441 1.1194832e-06 1.399354e-06 9.3290265e-07 2.8919983e-06 1.4926443e-06 6.5303184e-06 3.6383203e-06 1.4926443e-06 1.0261929e-06 5.597416e-07 7.4632214e-07 1.0261929e-06 1.0261929e-06 1.1194832e-06 2.3322566e-06 0.000532221 1.4926442e-05 3.815572e-05 1.5859346e-06 7.7804085e-05 3.6849655e-05 1.4926443e-06 1.4926443e-06 1.4926443e-06 4.925726e-05 1.4926443e-06 1.4926443e-06 1.4926443e-06 1.4926443e-06 1.4926443e-06 1.4926443e-06 0.00043016142 5.4108355e-06 2.5188372e-05 6.5303184e-06 1.3247218e-05 2.7054177e-06 3.2651592e-06 3.1718691e-06 2.8919983e-06 2.136347e-05 4.9443843e-06 5.4108355e-06 5.4108355e-06 7.369931e-06 3.1345528e-05 4.7578037e-06 0.00038771433 1.0355219e-05 4.1047715e-06 4.3846426e-06 3.9834944e-05 2.5188372e-05 1.1008251e-05 3.2651592e-06 8.862576e-06 3.6383203e-06 4.571223e-06 5.4108355e-06 7.09006e-06 9.888769e-06 1.5579475e-05 3.2278433e-05 0.00035123786 9.329026e-06 1.7258699e-05 1.2127734e-05 7.369931e-06 6.4370283e-06 3.2278433e-05 1.744528e-05 9.329026e-06 1.2687477e-05 8.209543e-06 1.25008955e-05 2.2016502e-05 8.955865e-06 1.1847864e-05 3.4144236e-05 0.0003593541 1.781844e-05 4.5059198e-05 2.2109793e-05 5.0936484e-05 3.498385e-05 6.32508e-05 4.4312877e-05 2.6867596e-05 1.8191602e-05 1.3713669e-05 1.4273411e-05 9.982058e-06 7.1833506e-06 8.116253e-06 2.808037e-05 0.00027091493 1.7725151e-05 1.6792248e-05 1.1194832e-05 6.3437383e-06 7.2766406e-06 9.142446e-06 8.3028335e-06 4.4686036e-05 1.5952635e-05 1.3527088e-05 1.8564762e-05 2.136347e-05 1.8098312e-05 1.753857e-05 7.57517e-05 0.0002760459 1.1288123e-05 4.925726e-05 3.209185e-05 1.2874057e-05 1.1941154e-05 5.9332608e-05 4.244707e-05 4.1607458e-05 2.0243988e-05 2.2389664e-05 2.4068888e-05 3.125224e-05 2.3229277e-05 2.2669534e-05 8.3494786e-05 0.0010112665 5.923932e-05 6.838176e-05 0.000109709355 0.00015019733 0.0001073771 0.0002723143 0.00020561175 0.0001428274 0.00013293863 0.0001304198 0.00014105489 0.00018098312 0.00013051309 0.00011735915 0.00047885894 0.0010502618 0.00014049515 0.00016185861 0.00019021885 0.00019003227 0.00017109435 0.0004244707 0.00025337635 0.00013825617 0.00023975599 0.00013023321 0.00014152133 0.00032987437 0.000111481866 0.00017510583 0.00016419086 0.0011768567 0.00025906708 0.0004915464 0.00034853243 0.00037353422 0.00030720484 0.00095995684 0.0004295084 0.0004884678 0.00025626837 0.00018424827 0.00021036954 0.00033938998 0.00025645495 0.00033668458 0.0004600143 0.061756756 0.061164364 0.061137684 0.061020043 0.061450392 0.06108973 0.06245382 0.06152381 0.061220523 0.061099898 0.061019577 0.06104719 0.061190765 0.060863968 0.061158113 0.0613154 25841.0 6.2783175 162238.0 0.011766664 0.008610806 0.008857357 0.008475203 0.009091581 0.008968306 0.008789556 0.008875849 0.009110073 0.009140892 0.008752573 0.00874641 0.0087032635 0.009294987 0.009122401 0.009942183 0.010879079 0.009744942 0.009689469 0.009794253 0.0091347275 0.009177875 0.00933197 0.009140892 0.008752573 0.008980634 0.009338133 0.008943651 0.009060763 0.008888177 0.0091347275 0.008764901 0.008937486 0.010336665 0.009590848 0.011218087 0.010244209 0.010256536 0.010595545 0.014071919 0.009264167 0.011415328 0.008943651 0.008974469 0.009486063 0.009763434 0.009159383 0.009190202 0.011014682 0.008777228 0.009966839 0.012013216 0.010145589 0.009085418 0.009054598 0.010170244 0.008777228 0.008888177 0.009097746 0.008154687 0.008524514 0.008536841 0.00879572 0.009196366 0.008752573 0.016783984 0.010090115 0.011544768 0.0146143325 0.025585867 0.010281192 0.012025543 0.010281192 0.019144714 0.00874641 0.0093442965 0.015039633 0.011458474 0.0163217 0.016814804 0.013628126 0.0082717985 0.016562087 0.0146143325 0.020580875 0.011538603 0.009818908 0.009862054 0.009393607 0.009942183 0.0085861515 0.008727918 0.008629298 0.00884503 0.008456712 0.009060763 6.5395164 0.0 27.0 0.0 83.0 5361368.0 15888384.0 0.0 0.0 1357.0 0.0 1.0 1.0 1.0 0.0 1546137000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 6054400.0 1024.0 4096.0 11.0 9.0 0.0 4.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5305344.0 0.0 0.0 0.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9988694 0.0 0.0 0.0 0.0 5.161238 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -204.0 0.0 0.0 -2872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33.0 -116748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2801038.0 0.0 0.0 0.0 0.0 369836.0 0.0 0.0 -219852.0 0.0 0.0 0.0 0.0 0.0 -5305125.0 0.0 0.0 -5936916.0 -36604.0 1072836.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 1.0 0.0 1.0 3.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -3.0 -1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -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 -1.0 0.0 -2.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 3.0 0.0 -2.0 0.0 2.0 -1.0 1.0 -1.0 2.0 2.0 -2.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 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 3.0 0.0 0.0 0.0 -1.0 -3.0 0.0 0.0 4.0 1.0 -1.0 1.0 0.0 2.0 0.0 5.0 -2.0 -2.0 -1.0 0.0 0.0 -1.0 -3.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 2.0 1.0 1.0 -2.0 -1.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 4.0 2.0 -1.0 0.0 1.0 -1.0 1.0 1.0 -1.0 -2.0 2.0 -1.0 1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -2.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 1.0 -1.0 -5.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 -2.0 -3.0 0.0 1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 2.0 2.0 -1.0 -1.0 1.0 0.0 0.0 -3.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 4.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 5.0 0.0 -2.0 0.0 -1.0 0.0 2.0 0.0 0.0 -3.0 0.0 1.0 -3.0 0.0 0.0 2.0 0.0 2.0 -1.0 1.0 -2.0 -2.0 2.0 0.0 0.0 1.0 0.0 0.0 -10.0 2.0 -2.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 -2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -4.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 2.0 2.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -2.0 3.0 1.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 -2.0 -4.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 2.0 -4.0 -2.0 2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 2.0 -1.0 -1.0 0.0 1.0 -1.0 -3.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -3.0 -1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 -2.0 -1.0 -1.0 -2.0 0.0 1.0 2.0 0.0 0.0 3.0 -1.0 1.0 -2.0 0.0 1.0 -1.0 1.0 -3.0 1.0 0.0 -2.0 0.0 1.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -3.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 2.0 -1.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 2.0 -2.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 3.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 2.0 1.0 -2.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -3.0 1.0 -1.0 1.0 3.0 0.0 0.0 -6.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 1.0 5.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -3.0 -4.0 0.0 0.0 -2.0 0.0 -1.0 2.0 0.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -3.0 0.0 1.0 1.0 0.0 1.0 2.0 0.0 3.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 3.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 2.0 0.0 -2.0 0.0 1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -4.0 0.0 -1.0 -2.0 -3.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 1.0 2.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 1.0 0.0 -2.0 2.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 4.0 2.0 3.0 1.0 -2.0 0.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -3.0 0.0 1.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 -3.0 -3.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -3.0 -3.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 3.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 0.0 -2.0 0.0 -1.0 2.0 0.0 3.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -4.0 0.0 -2.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 2.0 -3.0 0.0 1.0 1.0 1.0 0.0 2.0 -2.0 -1.0 0.0 -1.0 -2.0 1.0 0.0 -3.0 0.0 -1.0 2.0 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 -2.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 3.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 -1.0 2.0 1.0 -1.0 -5.0 0.0 0.0 2.0 -3.0 -1.0 0.0 -1.0 2.0 1.0 3.0 -3.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -3.0 1.0 -4.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -2.0 -1.0 -1.0 0.0 -2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 820.0 9512020.0 1072836.0 14815232.0 0.0 0.0 14552.0 5346816.0 0.0 0.0 0.0 0.0 9.0 14811932.0 0.0 0.0 28.0 14797584.0 0.0 0.0 0.0 0.0 5588.0 12726272.0 2872.0 6692864.0 0.0 0.0


Input: 0.09500382 0.007278133 0.0035823463 0.0030923858 0.0061000637 0.002548317 0.0020105918 0.0020490275 0.0071064793 0.0014385359 0.0012433727 0.0012124003 0.004235005 0.0011754574 0.0008847649 0.0054709143 0.004203286 0.0008646142 0.00074968056 0.0012082955 0.0027091494 0.0015989952 0.00078326504 0.00064892706 0.0018411767 0.0009172299 0.00071646925 0.00070005015 0.0015739934 0.0004970505 0.00059556507 0.00089148176 0.003030441 0.00057951914 0.0008855112 0.00077580183 0.0019146894 0.0012239683 0.00059183344 0.0005720559 0.0012911373 0.0005772802 0.00050264795 0.0015855613 0.0012926299 0.00082058116 0.0006948259 0.0006213132 0.007944599 0.006910943 0.007026996 0.010645912 0.0076165902 0.0070464006 0.00715611 0.0068113087 0.007546063 0.007189321 0.0013676353 0.002682655 0.0021557515 0.0015221239 0.0013519626 0.0017560959 0.0029072978 0.006827728 0.0065232287 0.0065810685 0.00685982 0.013130418 0.0072445488 0.0069154208 0.007967735 0.0061190953 0.0063560526 0.0061299168 0.006705331 0.007898327 0.0065000923 0.006072077 0.014092428 0.007481879 0.0062687327 0.009183493 0.008770778 0.0077565257 0.008773763 0.0078072757 0.006955349 0.008182303 0.0059481873 0.0015333188 0.0013736059 0.003370764 0.0023363614 0.0018900607 0.0015098096 0.0069023604 0.0062146243 0.0068848217 0.008717788 0.008741298 0.008993555 0.0059597553 0.008899518 0.006956842 0.009396942 0.0059369924 0.007104987 0.0060638674 0.00676541 0.0068930313 0.0067751124 0.005801908 0.00788452 0.0070908065 0.011030641 0.011535901 0.0062030563 0.006248955 0.0066437596 0.0061168564 0.0058235517 0.00054182985 0.0010571653 0.0013172586 0.0010086544 0.00078736985 0.00211545 0.0010829134 0.00048473623 0.007922956 0.0026259343 0.011804577 0.0012273267 0.0007549048 0.0014724935 0.0069960235 0.0013258413 0.019965982 0.0009646214 0.021890374 0.00075378537 0.00048622888 0.0013347971 0.00042689627 0.00046831713 0.0007272909 0.0009657408 0.0007567706 0.000454137 0.00046309287 0.00091872254 0.0006179547 0.0003765195 0.00043212052 0.00082543225 0.0011347828 0.00046682448 0.00048324358 0.0011295585 0.0009788015 0.00046831713 0.00089633284 0.0015657839 0.0024434587 0.00045936127 0.00048249724 0.0012482237 0.00041383563 0.0004436885 0.00046234656 0.0009493217 0.000398536 0.000410104 0.00046309287 0.001213893 0.00039667022 0.00041943302 0.00051197695 0.00096947246 0.0017818441 0.0010183565 0.00073923205 0.0023091207 0.0012060566 0.00044891276 0.0005489199 0.0011131394 0.0020255183 0.0016307138 0.000551532 0.005914976 0.0020867167 0.0016975097 0.00290991 0.0033300894 0.0006451955 0.004186121 0.0035375669 0.002636756 0.0016654178 0.0009829062 0.0009832794 0.0060373726 0.00069893064 0.001320617 0.0009970864 0.0016183995 0.0007866235 0.0010052959 0.00058586284 0.0010549263 0.0003955507 0.00069855753 0.00060974516 0.0018598348 0.00069221377 0.00044331534 0.0010455973 0.0010963472 0.000632508 0.0006612414 0.00056869746 0.0017426622 0.0009403659 0.0010090275 0.0011340365 0.0023527804 0.0018437888 0.0008646142 0.000741471 0.015121979 0.0035991385 0.0005089917 0.0027890059 0.0044051665 0.00062728376 0.0005280229 0.0006179547 0.002518464 0.0013478578 0.0013094222 0.0021064943 0.001996785 0.0011090346 0.0020049943 0.0014415212 0.003507714 0.0021912018 0.0022732972 0.002423681 0.007959899 0.0038972942 0.00584221 0.06414079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013289612 0.0 0.0 0.0013961559 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000621924 0.0 0.0 0.000524865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00066410727 9.705896e-06 7.4660743e-06 7.4660743e-06 6.719467e-06 2.613126e-05 7.4660743e-06 6.346163e-06 6.346163e-06 2.9864298e-06 3.3597335e-06 2.9864298e-06 4.106341e-06 2.9864298e-06 3.3597335e-06 2.9864298e-06 0.0008509458 2.1091659e-05 2.2958178e-05 0.0004373253 3.3037377e-05 3.2850727e-05 5.8795333e-05 3.229077e-05 5.9728595e-06 1.6798667e-06 5.7862076e-06 2.7997778e-06 3.1730815e-06 4.292993e-06 2.0531704e-06 1.3998889e-05 0.0035126011 0.00010825808 0.0001504414 5.132926e-05 7.204762e-05 0.00016462694 0.0003818897 0.0001659335 4.8902784e-05 4.53564e-05 2.127831e-05 2.0345053e-05 2.3331482e-05 2.5198e-05 1.5305452e-05 0.00016257376 0.010067814 0.0002581395 0.00034997222 0.00016052059 0.0003624779 0.00086867774 0.001003067 0.00032925387 0.00016033395 0.00024096754 8.362003e-05 7.3167525e-05 7.7273864e-05 7.839378e-05 5.954194e-05 0.001117298 0.009666886 0.00037106388 0.00058179384 0.0005160924 0.00039514198 0.0011861725 0.0017827118 0.0007594864 0.00026971192 0.00026728545 0.00013009635 0.00014745496 0.00011199111 0.00021614284 0.00019337132 0.0009886948 0.010322221 0.00017657265 0.0010189324 0.047315497 0.07141655 0.052347444 0.07435389 0.053524286 0.00013158956 0.00015361447 0.00013830903 0.00012860313 0.00015380113 7.858043e-05 7.09277e-05 0.00021352973 0.006976113 0.0001915048 0.0010303182 0.0041139936 0.006755864 0.0050489325 0.008782157 0.0056753363 0.00019747767 0.00038860916 0.00017526609 8.7913024e-05 0.00013252282 9.1459406e-05 0.00016761337 0.0003225344 0.006645553 0.0010558895 0.0014618573 0.015053845 0.0058890525 0.0036475505 0.0051252735 0.0037259443 0.0017666598 0.0009997074 0.0009881349 0.0010445038 0.0012569135 0.00094707153 0.0018170557 0.0024740703 0.01524311 0.0024122884 0.001955178 0.0028708922 0.00432323 0.005612621 0.0036393378 0.0027206375 0.01587026 0.0016283508 0.001802497 0.0026784542 0.005664137 0.0017147706 0.008306008 0.02600471 0.06374683 0.010522685 0.0060665584 0.008991767 0.015112081 0.02411206 0.01128945 0.01247021 0.051466823 0.0037981786 0.0061380463 0.0087787965 0.024723345 0.0062231594 0.021285778 0.06357698 0.013224097 0.0027406092 0.0016567218 0.0025044945 0.0036475505 0.0059211566 0.002917742 0.0038355088 0.009399974 0.000718423 0.0011391363 0.0013661049 0.004994617 0.0017784189 0.0043467483 0.008616036 0.0026534428 0.0026310445 0.00264859 0.0027329565 0.0027555414 0.0027837257 0.0026269383 0.0026411237 0.0025720627 0.002607153 0.002584195 0.0025550772 0.0024929221 0.0025944607 0.0025659031 0.0026037933 8705.0 110.63906 963113.0 0.0038001772 0.00015366837 0.00023257914 0.00015678327 0.0005419925 0.0008441377 0.00014847687 0.00025334515 0.0004900775 0.00022531104 0.00014432367 0.00017028116 0.0005222648 0.00030006864 0.0006146735 0.00026372814 0.016507927 0.01638437 0.016456014 0.01643317 0.016984507 0.016532848 0.0166346 0.01621928 0.016394753 0.015955552 0.0011556277 0.001156666 0.001485807 0.0010663338 0.0009708103 0.0012812619 0.0010684105 0.015416675 0.015006547 0.015475858 0.015530888 0.015279619 0.015162291 0.015648216 0.015335687 0.015282734 0.015052232 0.015134257 0.015607722 0.014705439 0.0153979855 0.015167483 0.016013697 0.014887142 0.015096879 0.015410445 0.015693901 0.015046001 0.01539487 0.015563075 0.0149577465 0.015069882 0.014704402 0.00020765995 0.0004547753 0.00017962586 0.00023465574 0.0003976688 0.00041428162 0.016918056 0.01526093 0.015771773 0.017094567 0.018908476 0.015540233 0.015203823 0.015643025 0.017243044 0.015143602 0.015129066 0.016655367 0.015373066 0.016859911 0.017329223 0.015899485 0.0148715675 0.017045768 0.01664083 0.018110024 0.016038617 0.015081304 0.015229781 0.015375143 0.015243279 0.014917253 0.00011421298 0.0004038986 0.00012355768 0.00014017046 0.00021077486 6.0630856 0.0 12.0 5.0 221.0 2679808.0 2719744.0 1.0 0.0 468.0 1.0 1.0 0.0 1.0 0.0 1533290900.0 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 14.0 0.0 5.0 1.0 5.0 1.0 1344512.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -67584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1131520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1344512.0 0.0 123392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.599703 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.144304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.359214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4669046 0.0 7.958009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -67448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1131404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1344191.0 0.0 123208.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 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 -1.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 3.0 1.0 -1.0 -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 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 2.0 0.0 2.0 -1.0 -1.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -4.0 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 1.0 0.0 -1.0 0.0 0.0 3.0 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 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 -1.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -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 -2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -3.0 -2.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 1.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 2472460.0 123208.0 2523136.0 0.0 0.0 0.0 0.0 67448.0 2650112.0 28.0 2380992.0 0.0 0.0 0.0 0.0 24.0 2381116.0 64.0 2381024.0 0.0 0.0 1952.0 1351680.0 0.0 0.0 0.0 0.0


Input: 0.23462257 0.0285162 0.0073355692 0.007120789 0.0091529405 0.0029573578 0.004840815 0.003436483 0.011532043 0.0016851984 0.0019495431 0.0010243362 0.0067738364 0.0017843277 0.0010573793 0.006129496 0.010094669 0.003320832 0.0011730302 0.00095825 0.00414691 0.0042625605 0.00052868965 0.000479125 0.0027425776 0.00036347416 0.00057825434 0.0005121681 0.001404332 0.0008425992 0.00074346986 0.00080955605 0.010342492 0.0009417285 0.000627819 0.00077651296 0.002213888 0.0015199828 0.0002808664 0.0005121681 0.0013878105 0.0005617328 0.0005121681 0.001404332 0.0013052026 0.0022634526 0.0020817155 0.0007104268 0.003023444 0.0007269483 0.0010573793 0.006724272 0.0014538966 0.0021147586 0.00089216384 0.00039651725 0.0018338923 0.0022469312 0.0014208535 0.0042625605 0.0015365044 0.0014208535 0.00046260346 0.00049564656 0.003320832 0.0026434483 0.0011730302 0.0026434483 0.003436483 0.010226841 0.003287789 0.0027260561 0.0020486724 0.0016521552 0.0006608621 0.0006773836 0.0019825862 0.0051216814 0.0018008492 0.0019330216 0.01267203 0.003651263 0.002775621 0.006311233 0.0017843277 0.0030564873 0.005468634 0.003915608 0.0011730302 0.0021973664 0.00042956037 0.0014869397 0.0014704182 0.002775621 0.0026269269 0.0025277976 0.0006773836 0.0071538324 0.0010573793 0.0035190906 0.0044112545 0.013349414 0.0041799527 0.0021147586 0.005716457 0.0067077503 0.003998216 0.0009417285 0.005617328 0.0029408364 0.0067407936 0.007864259 0.0040147374 0.00033043104 0.008326862 0.0071703536 0.01766154 0.01404332 0.0015365044 0.002775621 0.0024782328 0.001999108 0.0009417285 0.0003799957 0.0029573578 0.002511276 0.00064434053 0.00044608192 0.005567763 0.0024782328 0.0007930345 0.00872338 0.003139095 0.016455466 0.0016356336 0.00023130173 0.0026434483 0.011201613 0.001999108 0.027078824 0.0017843277 0.014572009 0.0005121681 0.0005617328 0.0006773836 0.00044608192 0.00024782328 0.00023130173 0.00049564656 0.0007930345 0.00039651725 0.00013217241 0.00044608192 0.0020486724 0.00021478019 0.00013217241 0.00029738795 0.0007599914 0.0003139095 0.00013217241 0.0008260776 0.002147802 0.00013217241 0.0008260776 0.0006939052 0.0008260776 0.00013217241 0.00013217241 0.00039651725 0.00016521552 0.00033043104 0.0013547672 0.00046260346 0.0002808664 0.00014869397 0.00018173708 0.00046260346 0.00013217241 0.00018173708 0.000627819 0.0005617328 0.0032547459 0.0010573793 0.0005121681 0.001999108 0.00029738795 0.0002808664 0.00085912074 0.00077651296 0.00097477157 0.0008260776 0.0005121681 0.009466849 0.0017843277 0.0021147586 0.003023444 0.0026764914 0.00016521552 0.002065194 0.0027095345 0.0022964957 0.0024782328 0.0008425992 0.00054521125 0.015778083 0.00039651725 0.0008260776 0.000627819 0.0015530259 0.00097477157 0.0009086854 0.0008260776 0.001404332 0.000479125 0.0013052026 0.0009086854 0.0024451897 0.0003139095 0.0003469526 0.001404332 0.0015365044 0.00026434482 0.00026434482 0.00023130173 0.0032382242 0.00097477157 0.002428668 0.0006608621 0.003205181 0.0008260776 0.0005617328 0.0007104268 0.007715565 0.0016191121 0.00046260346 0.0043451684 0.0058816727 0.00023130173 0.00044608192 0.00042956037 0.0031886597 0.00057825434 0.00024782328 0.0016025905 0.002147802 0.00014869397 0.0023460605 0.0027260561 0.005419069 0.003766914 0.0023130174 0.0037008277 0.0067738364 0.003287789 0.0047086426 0.06559056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015793372 0.0006061422 0.00017679148 6.734914e-05 0.00014311692 9.260506e-05 8.4186424e-05 7.576778e-05 7.576778e-05 2.5255928e-05 3.367457e-05 3.367457e-05 8.418642e-06 8.418642e-06 8.418642e-06 8.418642e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.049627896 0.0008081897 0.002214103 0.00041251347 0.0030054552 0.0014900997 0.0055815596 0.0032411772 0.0006398168 0.0001599542 0.00026939655 0.00017679148 0.00024414062 0.0002188847 0.0002188847 0.00065665407 0.008772225 2.5255928e-05 0.0015574488 0.00011786099 0.00037883891 0.00010102371 0.0040577855 0.0021972656 8.418642e-06 8.418642e-06 0.0 8.418642e-06 8.418642e-06 0.0 0.0 0.0 0.012341729 0.00014311692 0.0018773573 0.001010237 0.0011196794 0.0006145609 0.010413861 0.0061035156 0.00012627963 2.5255928e-05 9.260506e-05 4.2093212e-05 7.576778e-05 3.367457e-05 4.2093212e-05 0.0004209321 0.04211005 0.0014311692 0.0034516433 0.0016500539 0.0050680228 0.003013874 0.014017039 0.00873855 0.00136382 0.00017679148 0.00052195584 0.0005808863 0.0004209321 0.00031148977 0.00095972524 0.0023908943 0.02480132 0.00076609646 0.0019026131 0.002163591 0.0032495959 0.002331964 0.015111463 0.009454135 0.0011112607 0.0013133081 0.00066507276 0.0003199084 0.0017426589 0.0011196794 0.0011701912 0.0017426589 0.027301656 0.0016753098 0.0040156925 0.0027697333 0.0023572198 0.0019362877 0.010312837 0.007088497 0.002567686 0.0014648438 0.00042935077 0.00088395743 0.0018521013 0.0010607489 0.0005977236 0.0026518723 0.026670258 0.00458816 0.0017847521 0.003973599 0.0037799703 0.009151064 0.0022056843 0.00440295 0.024161503 0.001153354 0.0011365167 0.0037547145 0.0056320718 0.0027949892 0.005598397 0.037143048 0.09706695 0.019607019 0.007652546 0.014825229 0.021930562 0.031090045 0.013133082 0.021661166 0.058938913 0.0026687095 0.004891231 0.005817282 0.030980604 0.007677802 0.019977437 0.05587453 0.01934604 0.0037547145 0.0020625673 0.0030222926 0.004445043 0.005177465 0.0017510776 0.0054721176 0.012198613 0.00074925914 0.0011617726 0.00186052 0.007669383 0.0021046605 0.00576677 0.009664602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 454.0 13.876652 6300.0 0.025396826 0.00047619047 0.0014285714 0.0 0.00015873015 0.0074603176 0.00015873015 0.00015873015 0.0011111111 0.00047619047 0.00047619047 0.0007936508 0.0011111111 0.017777778 0.008730159 0.0026984126 0.006031746 0.0033333334 0.006190476 0.0028571428 0.0022222223 0.0019047619 0.003968254 0.0015873016 0.0026984126 0.0014285714 0.00984127 0.00047619047 0.00047619047 0.00047619047 0.00047619047 0.00015873015 0.00047619047 0.015555556 0.0026984126 0.012380952 0.009047619 0.00968254 0.01015873 0.00968254 0.0036507936 0.008253968 0.00047619047 0.0017460317 0.008412698 0.011111111 0.0046031745 0.0076190475 0.008571428 0.0026984126 0.014126984 0.01904762 0.008095238 0.003015873 0.008412698 0.007142857 0.0023809525 0.0015873016 0.00015873015 0.0003174603 0.0053968253 0.0003174603 0.003015873 0.0044444446 0.0003174603 0.05190476 0.005079365 0.025396826 0.024761904 0.09269841 0.01015873 0.014285714 0.00968254 0.046666667 0.0023809525 0.0031746032 0.034444444 0.017619047 0.04968254 0.04920635 0.022698414 0.00047619047 0.05079365 0.04 0.076825395 0.018888889 0.004126984 0.008571428 0.008571428 0.01 0.0046031745 0.0 0.00015873015 0.0 0.0 0.0 5.3890715 0.0 0.0 0.0 3.0 60527.0 73728.0 1.0 0.0 118.0 0.0 1.0 0.0 0.0 0.0 1091599100.0 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 -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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 49664.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49664.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1126423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4110894 0.0 3.9513805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49452.0 0.0 8312.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 50788.0 8312.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4592.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 13776.0 148.0 600.0 496.0 4096.0 0.0 0.0 0.0 0.0