Input: 0.056311175 0.008277999 0.0061678602 0.005649328 0.0057398654 0.0049579516 0.0041966145 0.005408581 0.005035114 0.005619492 0.0037439272 0.0044641113 0.00494149 0.003174982 0.004322132 0.0046369554 0.005035114 0.0037778788 0.0049209134 0.0041595763 0.0043488815 0.0031770398 0.0041071055 0.0038426954 0.0050680367 0.0033467973 0.003168809 0.0029373213 0.004165749 0.0034414502 0.003781994 0.0037799366 0.006163745 0.0038169746 0.0034846612 0.0030216859 0.004886962 0.0041554607 0.0038488684 0.0037223217 0.00471206 0.0038920795 0.0033323937 0.0031091366 0.0043632854 0.0037140911 0.003721293 0.0035957752 0.00550632 0.00396204 0.003107079 0.0029043986 0.0036945434 0.003082387 0.002692459 0.0028498704 0.0041698646 0.0033200476 0.003528901 0.003343711 0.004001136 0.0032325967 0.0035247856 0.0034589402 0.006577336 0.0039527807 0.0036122366 0.0032274525 0.0041410574 0.0032274525 0.003534045 0.0030762139 0.004991903 0.0037840519 0.0037058603 0.0035896022 0.004124596 0.0031266268 0.00354742 0.003467171 0.005157545 0.0036184096 0.003658534 0.0033272495 0.003914714 0.003373547 0.0033951525 0.003541247 0.0046462147 0.0036451593 0.0038005132 0.0035083243 0.004096817 0.00337972 0.0036945434 0.003783023 0.0058952193 0.0036235538 0.003343711 0.002957898 0.0040073087 0.0030546084 0.0032737502 0.0030309453 0.0049651535 0.003176011 0.0032079048 0.003045349 0.003571083 0.0028581012 0.003094733 0.0032007028 0.004502178 0.0032819808 0.0032264236 0.0031410304 0.0038807623 0.0033416532 0.0032943268 0.0036235538 0.0046359263 0.0032912402 0.003490834 0.003168809 0.004037145 0.0032109912 0.0034774593 0.0033519415 0.008609284 0.004595802 0.004018626 0.0035206703 0.0043519684 0.0034496807 0.0030247723 0.0033900084 0.004527899 0.003827263 0.002970244 0.0031955587 0.0037202642 0.0027984288 0.0028539859 0.00298259 0.00521516 0.0032048183 0.0035093531 0.0030371184 0.003664707 0.0031852704 0.0033221054 0.0032768366 0.0045484756 0.0028581012 0.003051522 0.0027120067 0.0035124396 0.0032397986 0.0029867054 0.0031657226 0.0049960185 0.0034332194 0.003287125 0.002808717 0.0037665616 0.003007282 0.0030525508 0.003182184 0.0041276827 0.003013455 0.0031286846 0.0030319742 0.003665736 0.0028426687 0.0029290908 0.0030494642 0.004670907 0.0031225116 0.0038375512 0.0028735336 0.0035700544 0.003145146 0.0030021379 0.0031266268 0.0042532003 0.003162636 0.003348855 0.0031935012 0.0036533899 0.0031893856 0.0033200476 0.003342682 0.006692566 0.004060808 0.0037243795 0.003348855 0.004124596 0.0032665483 0.003305644 0.003231568 0.0043324204 0.003336509 0.003124569 0.0030916466 0.0036420727 0.0029918496 0.0030916466 0.0028148901 0.0042398255 0.0032737502 0.003107079 0.003008311 0.003716149 0.0030113973 0.0029414366 0.002957898 0.0039640977 0.003119425 0.0027387564 0.0026564496 0.0035505064 0.0029558404 0.0035926886 0.0028869086 0.0049517783 0.0032346544 0.003416758 0.0029877343 0.003820061 0.0030751852 0.00321202 0.0029239466 0.0044363327 0.005433273 0.0034589402 0.0031461746 0.003789196 0.0030793005 0.0032521447 0.0031924723 0.004594773 0.003324163 0.0034270464 0.003050493 0.003752158 0.0030988483 0.0033159324 0.0032583177 0.0043643145 0.0030278587 0.0031904145 0.0028714759 0.0040237703 0.0031101655 0.004216162 0.0044857166 0.011594105 0.0 0.0 0.0 0.0 0.0 1.0301292e-06 3.0903877e-06 0.0 1.0301292e-06 2.0602583e-06 0.0 0.0 1.0301292e-06 0.0 1.0301292e-06 0.0020386258 4.1205167e-06 2.0602583e-06 6.1807755e-06 5.1506463e-06 1.0301292e-06 3.0903877e-05 1.1331422e-05 0.0 0.0 1.0301293e-05 0.0 0.0 0.0 0.0 0.0 0.0009441134 2.5753232e-06 6.1807755e-06 1.2876615e-05 9.2711625e-06 5.665711e-06 5.150646e-05 2.2662844e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028436717 3.553946e-05 2.7813488e-05 1.0816357e-05 2.2147779e-05 3.450933e-05 4.2235297e-05 1.8027262e-05 3.553946e-05 5.1506463e-06 9.786228e-06 1.5967003e-05 2.6268295e-05 7.2109046e-06 1.6997132e-05 1.2876615e-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 0.00087406463 1.1846486e-05 1.2361551e-05 8.241033e-06 1.339168e-05 1.5967003e-05 1.339168e-05 1.1331422e-05 1.0816357e-05 1.339168e-05 6.69584e-06 1.339168e-05 1.1846486e-05 1.0301293e-05 1.8027262e-05 9.786228e-06 0.0016142125 6.4898144e-05 5.6657107e-05 4.8416074e-05 4.7385944e-05 3.0388812e-05 2.2662844e-05 0.00055111916 2.9873747e-05 1.6997132e-05 1.9572455e-05 0.00027555958 2.0602585e-05 0.0002724692 1.6482067e-05 7.725969e-05 0.0007380876 3.708465e-05 3.3994264e-05 2.0602585e-05 2.2147779e-05 1.6997132e-05 1.3906744e-05 1.1846486e-05 1.6482067e-05 2.2662844e-05 1.905739e-05 1.7512197e-05 6.69584e-06 4.6355813e-06 2.2662844e-05 5.047633e-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 0.0013098093 3.708465e-05 4.2750362e-05 5.9747494e-05 4.2235297e-05 3.1418942e-05 9.116644e-05 5.8202302e-05 3.914491e-05 5.7172172e-05 4.3780492e-05 4.2750362e-05 7.7774755e-05 7.725969e-06 8.756098e-06 0.0001601851 0.0011614707 6.901866e-05 4.584075e-05 4.584075e-05 3.811478e-05 3.7599715e-05 4.7385944e-05 5.9747494e-05 5.2021525e-05 5.047633e-05 6.798853e-05 5.150646e-05 7.4684365e-05 1.4421809e-05 4.3780492e-05 0.00024980633 0.0045536864 0.0002879211 0.00026371307 0.00026422815 0.00029719228 0.00023177908 0.00032397563 0.00030182785 0.0003275811 0.000350759 0.00032861123 0.0003548795 0.0005253659 0.00015915497 0.000183363 0.00073963276 0.0031764035 0.0002719541 0.00029873746 0.00024723102 0.00028689098 0.0002807102 0.00034097277 0.00092763134 0.00040484077 0.0003492138 0.00032243045 0.0006649484 0.0004599527 0.00043265428 0.00017357677 0.0008555223 0.0022369255 0.00018078768 0.0002884362 0.00024362556 0.0002966772 0.00029307176 0.0002838006 0.0004002052 0.00044038024 0.00032088524 0.00024465568 0.00031521954 0.00045789243 0.00016070016 0.00018851364 0.0010321895 0.00034251797 5.4081785e-05 4.2750362e-05 4.4810622e-05 5.4081785e-05 4.790101e-05 5.3051655e-05 5.150646e-05 7.004879e-05 4.790101e-05 3.811478e-05 4.893114e-05 4.4295557e-05 2.6268295e-05 4.1720232e-05 4.687088e-05 0.09891868 0.062025625 0.062433556 0.055386957 0.06056902 0.059548166 0.054987267 0.054547403 0.06043871 0.053277254 0.052223947 0.05303672 0.05649486 0.05064424 0.056716856 0.05389842 4051.0 5.7008147 23094.0 0.017233914 0.010435611 0.009482983 0.008746861 0.013510003 0.012470772 0.01173465 0.011388239 0.012600675 0.00974279 0.008487053 0.008660258 0.013899714 0.010435611 0.011864553 0.009959296 0.0168009 0.011777951 0.00870356 0.0074911234 0.009829393 0.008487053 0.007837534 0.008270547 0.010305707 0.008443751 0.009699489 0.008790162 0.01143154 0.008920066 0.009656188 0.009223175 0.018013338 0.010911925 0.0102624055 0.009093271 0.010782021 0.008876764 0.010565515 0.00840045 0.014202823 0.01173465 0.009699489 0.008963367 0.011388239 0.009309777 0.011561445 0.009656188 0.0147224385 0.009569585 0.010002598 0.008963367 0.01208106 0.0095262835 0.009612886 0.009959296 0.013683207 0.009179873 0.010522214 0.009612886 0.01108513 0.009829393 0.01039231 0.0106088165 0.017796831 0.010911925 0.009612886 0.008140642 0.013033688 0.008270547 0.009353079 0.008270547 0.015328657 0.009309777 0.008920066 0.008746861 0.01143154 0.0080107385 0.0098726945 0.007794232 0.013163593 0.007967438 0.008790162 0.00870356 0.011518143 0.00939638 0.008530354 0.007967438 0.011344939 0.009006669 0.011907855 0.008616957 0.011344939 0.008963367 0.010089201 0.008790162 6.554926 0.0 0.0 0.0 14.0 971974.0 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: 0.0062758448 0.0039136885 0.0038767816 0.0038748742 0.0038977624 0.003907108 0.0038721084 0.0038675307 0.003922367 0.0038731575 0.003873825 0.0038823127 0.0038466454 0.0038747787 0.0038650513 0.0038942336 0.003907299 0.0038507462 0.0038827895 0.0038585663 0.0038894652 0.003928757 0.003851223 0.003866577 0.0038710595 0.0039021492 0.0038859367 0.0038757324 0.0038458824 0.003880787 0.0038927079 0.0038895607 0.0038796426 0.0038793564 0.0039006234 0.0039045333 0.0038888932 0.0038978576 0.0038808822 0.003881359 0.0038479804 0.0038902282 0.0039053918 0.003887272 0.0039023398 0.0039343834 0.0039016723 0.0039030076 0.0039196014 0.0039253235 0.003917694 0.003912163 0.0039038658 0.0039431574 0.003919506 0.003881073 0.003870964 0.0039072037 0.0038708686 0.003911781 0.0039009093 0.0038814545 0.0038949014 0.0039162636 0.003954315 0.0038607598 0.0038817406 0.0038873672 0.0039157867 0.0039652823 0.0039066314 0.0039159777 0.0039039613 0.0039066314 0.0038916587 0.0038789748 0.003914356 0.003931999 0.0038568496 0.0038957596 0.0038934709 0.0039263726 0.003941536 0.003969765 0.003906727 0.003929329 0.003944206 0.0039226534 0.0039108275 0.0038874627 0.0039046288 0.00386734 0.0038825988 0.0038925172 0.003902054 0.003917503 0.0038350106 0.003912735 0.0038992881 0.0038980483 0.00393095 0.0039614676 0.0039341925 0.0038876534 0.0039330483 0.0039154054 0.0039209365 0.0039105415 0.0038856505 0.0038868904 0.003938389 0.003936005 0.0038682937 0.003910923 0.0039495467 0.0039494513 0.0039523123 0.003954029 0.0038649559 0.0038791657 0.003916168 0.0038743974 0.0039105415 0.003921509 0.0039286613 0.0038841248 0.0038760186 0.00391798 0.0038758279 0.0038778305 0.0038532256 0.0038885116 0.0038806915 0.0039160727 0.0038651465 0.0038830757 0.0038640022 0.003895569 0.0038980483 0.00397768 0.003865242 0.0038873672 0.0038855553 0.0039038658 0.0038829804 0.0039144517 0.0038853646 0.0038946152 0.0038981438 0.0039118766 0.00386343 0.0038664818 0.0038924217 0.0038912774 0.003908062 0.00390892 0.0038805963 0.00388155 0.0038805008 0.00389843 0.0038672448 0.0038787841 0.0038864135 0.0038850785 0.0039185523 0.0038700104 0.0038890839 0.0039129257 0.003895855 0.0038894652 0.003891182 0.0039152144 0.0038654327 0.0038927079 0.0038741112 0.0039164545 0.0038781166 0.003908062 0.003885746 0.0038877488 0.0039165495 0.0038931847 0.0039037704 0.003909302 0.0038927079 0.0038852692 0.0038741112 0.0038680076 0.0039068223 0.0038648606 0.0038973808 0.0039052963 0.0038564682 0.0039031028 0.00388937 0.0038768768 0.0038972856 0.0038835525 0.0039031028 0.003916359 0.0038518906 0.0039059639 0.00389719 0.003909779 0.003863907 0.0038775443 0.0039004325 0.0038829804 0.0039131166 0.0038777352 0.0038887025 0.0038729669 0.0038648606 0.003857708 0.0039000511 0.0039438247 0.0038563728 0.0039025308 0.003874302 0.0038953782 0.0039100647 0.003879261 0.0039102556 0.0038485527 0.0038606643 0.0038934709 0.0038894652 0.0039076805 0.0039108275 0.0039063455 0.0038617135 0.0039025308 0.0039698603 0.0039014816 0.003854847 0.0038917542 0.003897953 0.003877449 0.00386734 0.0038645745 0.003907299 0.003930283 0.0038678169 0.0038939477 0.0039084433 0.0038805008 0.0038789748 0.0038863183 0.0038827895 0.003894806 0.0039052963 0.0038959503 0.0039087296 0.0039045333 0.003919983 0.0042918203 0.00019533158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033377093 4.0535115e-06 3.5289395e-06 4.1488884e-06 5.198033e-06 3.3381862e-06 8.726972e-06 6.1994883e-06 2.5751722e-06 2.956679e-06 2.5274837e-06 2.193665e-06 1.7644697e-06 2.289042e-06 1.8121582e-06 5.5795394e-06 8.126099e-05 1.0968325e-06 5.722605e-07 4.768837e-07 7.63014e-07 9.537674e-07 1.0014559e-06 1.144521e-06 2.4797953e-06 1.526028e-06 1.0491442e-06 9.060791e-07 5.722605e-07 3.81507e-07 2.3844186e-06 1.0968325e-06 7.50615e-05 1.6690931e-06 1.7167814e-06 1.6214046e-06 1.2875861e-06 1.9075349e-06 2.0982884e-06 1.1922093e-06 1.1922093e-06 1.6214046e-06 1.2398976e-06 9.060791e-07 1.6214046e-06 1.526028e-06 1.8121582e-06 1.1922093e-06 0.00017191659 2.3844186e-07 2.0982885e-05 5.007279e-06 5.5318515e-06 2.6228606e-06 4.0344363e-05 2.3796498e-05 2.5751722e-06 2.3844186e-06 2.1459769e-06 2.7182373e-06 2.289042e-06 2.0029117e-06 2.432107e-06 6.008735e-06 0.00031312185 2.813614e-06 2.9280662e-05 3.0520558e-05 2.756388e-05 2.1507456e-05 8.8605e-05 4.806988e-05 3.719693e-06 2.8613024e-06 4.1012e-06 1.7167814e-06 2.0029117e-06 1.8121582e-06 2.193665e-06 6.104112e-06 0.00011683651 2.2413535e-06 9.108479e-06 6.3425537e-06 2.0935197e-05 1.5880229e-05 6.905277e-05 3.5575526e-05 3.0997442e-06 2.289042e-06 6.628684e-06 9.537674e-07 1.0014559e-06 1.1922093e-06 1.0014559e-06 8.583907e-07 0.00011430903 1.526028e-06 2.289042e-06 1.2875861e-06 1.1635963e-05 1.0300689e-05 4.0248986e-05 2.2651977e-05 8.4885305e-06 8.154711e-06 1.1826716e-05 1.1492898e-05 1.2112847e-05 1.0348377e-05 6.104112e-06 2.021987e-05 0.00031316956 2.0696754e-05 4.9357466e-05 0.00011955475 3.5909346e-05 3.6386227e-05 0.0001312384 8.712666e-05 3.366799e-05 1.9552233e-05 3.28096e-05 1.6547865e-05 1.9504545e-05 1.15405865e-05 1.9456857e-05 3.0139052e-05 0.00018841676 7.725516e-06 1.8216959e-05 3.0329806e-05 2.7373126e-05 2.0601377e-05 1.8693841e-05 2.932835e-05 3.137895e-05 3.1712767e-05 3.1760457e-05 3.40495e-05 2.1650521e-05 1.816927e-05 1.5880229e-05 6.0707298e-05 0.00030935448 3.7149242e-05 3.9342907e-05 4.9643597e-05 8.145174e-05 5.1121937e-05 5.1360377e-05 7.4632306e-05 0.000116216564 5.4650875e-05 6.7192916e-05 6.938658e-05 8.130867e-05 5.1455754e-05 5.8752077e-05 0.000174301 0.00053992774 0.0001168842 8.6268265e-05 0.00010629738 0.00019928972 0.00018717686 0.00012766177 0.00015617942 0.0002592817 5.3506355e-05 6.1518e-05 6.900507e-05 0.000112783004 6.185182e-05 0.00014926461 0.00035008034 0.061730787 0.061884724 0.062026598 0.0621235 0.06205335 0.06224959 0.062008 0.062074333 0.0617563 0.06208058 0.06202793 0.062068466 0.061962124 0.06203642 0.061999604 0.062104426 49142.0 5.708437 280524.0 0.010002709 0.010188077 0.01028789 0.010262936 0.010412657 0.009956367 0.009949238 0.009945673 0.010077569 0.010309278 0.0103235375 0.010476822 0.010266501 0.010262936 0.010697837 0.010483951 0.010751308 0.011086395 0.010608718 0.010188077 0.0104055265 0.010704966 0.0103235375 0.010316408 0.010059745 0.01028076 0.010369879 0.010177382 0.010476822 0.010387703 0.010352056 0.010412657 0.0101274755 0.010184512 0.010266501 0.010622977 0.010401962 0.010537423 0.010230854 0.010466128 0.010195206 0.010262936 0.0103770085 0.010416221 0.010277196 0.01042335 0.010223724 0.010483951 0.0100454865 0.009902896 0.010330667 0.010861816 0.010555247 0.010359185 0.010209465 0.010487516 0.010298584 0.01013817 0.009742482 0.010184512 0.010123911 0.010152429 0.010409092 0.010480387 0.009799518 0.011200468 0.01013817 0.010719226 0.010676448 0.012191471 0.010690708 0.010448304 0.010369879 0.010840427 0.010227289 0.010516034 0.010940241 0.010701402 0.010993712 0.011122043 0.010733484 0.010747744 0.011328799 0.011161256 0.011685275 0.010273631 0.009945673 0.0103235375 0.010380574 0.010305714 0.010369879 0.010013403 0.010095393 0.010102523 0.010113217 0.010259372 6.584025 0.0 0.0 0.0 165.0 10485760.0 1097728.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 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 -28160.0 0.0 26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6839743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 6.0266004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -593920.0 -3890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 25800.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 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 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 -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 39732.0 25800.0 1064960.0 0.0 0.0 5368.0 13848792.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.066702865 0.0070514423 0.00514892 0.005572137 0.0065722307 0.0038245772 0.0038636434 0.0037177964 0.0061971955 0.0031291996 0.003366201 0.0033049975 0.005064277 0.003315415 0.0030627872 0.008339323 0.0056437585 0.0029807482 0.0030484628 0.0029807482 0.0040876227 0.0035719494 0.003041952 0.0029273578 0.003726912 0.0029182422 0.002933869 0.0030432541 0.0038232752 0.0029534018 0.0031734747 0.0030862268 0.005065579 0.0030133033 0.0030706003 0.0031943098 0.0074954946 0.0030471606 0.002846621 0.0030159077 0.0034768884 0.0029442864 0.0027229115 0.0034573553 0.0030836223 0.0036045045 0.0030211166 0.00291694 0.00404465 0.003156546 0.00344824 0.0059875404 0.0034000583 0.0032255629 0.0031891011 0.0031799856 0.0034964215 0.0036683127 0.003264629 0.0045616254 0.0035263724 0.003377921 0.0033049975 0.0035263724 0.0037698846 0.0038519236 0.0035081415 0.0065956702 0.005521351 0.005988843 0.0039040118 0.0033427612 0.0032984864 0.0030015835 0.0028935005 0.0030133033 0.0036526863 0.0037685824 0.0032190518 0.0030771114 0.0059068035 0.003561532 0.0030028857 0.004035535 0.0032685355 0.0039144293 0.004424894 0.004223052 0.0030289297 0.003980842 0.0029195445 0.0032763488 0.003245096 0.00397954 0.0038831765 0.0036487796 0.003054974 0.0038662478 0.003176079 0.0034182891 0.003816764 0.0045941807 0.0054887957 0.0030458583 0.00418659 0.0035953892 0.0047712806 0.0027919284 0.004182684 0.0032086342 0.0037373295 0.0037477473 0.0035732517 0.0029260556 0.004749143 0.004172266 0.007871832 0.0064315926 0.0032346782 0.003340157 0.0032294695 0.003226865 0.002801044 0.002725516 0.003657895 0.0032633268 0.0031930078 0.0031174798 0.0038284839 0.0033701076 0.002846621 0.007791095 0.0044144765 0.0060513485 0.0033336459 0.0032125406 0.0041123647 0.006720682 0.0033961518 0.013307237 0.0029885615 0.0067297975 0.0029599129 0.0028830827 0.0029455887 0.0029885615 0.0029026158 0.0029455887 0.0031005512 0.0027307249 0.002738538 0.0029026158 0.002935171 0.0028309945 0.0026460814 0.0026070152 0.0030406497 0.002833599 0.0028518299 0.0029937702 0.0029182422 0.0031513372 0.0027971372 0.0029182422 0.00282839 0.0027697908 0.0026838453 0.0027268182 0.0028726652 0.002776302 0.002694263 0.002707285 0.002738538 0.0026226416 0.0026617078 0.002712494 0.0028974072 0.0027528622 0.0026851476 0.0027645822 0.0030080946 0.002758071 0.0035146524 0.0031721725 0.0036032023 0.0029013136 0.0027033784 0.0028765718 0.0028830827 0.0029403798 0.0030185122 0.0027723953 0.0056333407 0.0045694388 0.0038792698 0.0043259263 0.003486004 0.0030719026 0.0036813347 0.0037881155 0.003594087 0.0039287535 0.0028948027 0.0031031554 0.0033570856 0.002941682 0.0030836223 0.0031357107 0.003302393 0.0030341386 0.0029651218 0.0030888312 0.0028505276 0.0025471137 0.0027880217 0.0028192748 0.0035068393 0.0031278974 0.0026799387 0.003120084 0.003081018 0.002946891 0.0027242138 0.0028570388 0.0034143827 0.003156546 0.0028895938 0.00284011 0.0030797159 0.0031552438 0.0031174798 0.0027528622 0.008259889 0.0036865436 0.0027749997 0.0044730757 0.0039287535 0.002707285 0.0029234511 0.0033635965 0.003923545 0.0031344085 0.0028322968 0.0031135732 0.0033883385 0.0027971372 0.0035419988 0.0033492723 0.0046111094 0.003169568 0.0029000114 0.002909127 0.0040029795 0.0031226885 0.0045368834 0.019046057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001112994 8.486171e-06 9.791736e-06 6.527824e-06 4.7653117e-05 2.8069644e-05 9.138954e-06 9.138954e-06 4.047251e-05 4.569477e-06 7.1806066e-06 7.1806066e-06 9.138954e-06 9.138954e-06 1.1750083e-05 1.5666777e-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 0.0018082072 6.266711e-05 0.00015405664 1.0444519e-05 4.8305898e-05 1.7625125e-05 0.00029962714 0.00018604299 1.3708431e-05 4.569477e-06 1.9583473e-05 6.527824e-06 6.527824e-06 9.791736e-06 7.1806066e-06 1.893069e-05 0.0064612404 0.0001037924 0.0004576005 0.00011423692 0.0005013369 0.00017494569 0.0011887167 0.00069978274 7.05005e-05 6.919494e-05 4.2430856e-05 8.943119e-05 5.6139288e-05 5.2222593e-05 6.0055983e-05 0.0005535595 0.0063535315 0.00025719628 0.0004236558 0.00016319561 0.00084600603 0.0003152939 0.0011116884 0.00059207366 0.00013643152 6.266711e-05 5.1569812e-05 9.334789e-05 5.679207e-05 3.9166945e-05 2.7416861e-05 0.00016515395 0.0098393895 0.00043540588 0.0011462859 0.00087864517 0.0015927891 0.00084013096 0.004361892 0.0025837128 0.00015013995 0.000266988 8.1597806e-05 8.290337e-05 0.00012663979 8.1597806e-05 9.204232e-05 0.0001671123 0.008175447 0.0005594345 0.0007526581 0.0006501713 0.0010424935 0.00062862947 0.001898944 0.0012774952 0.0005196148 0.00017233456 0.00018408464 0.00024022393 0.00021802932 0.0002004042 0.00016907064 0.0006906438 0.003963695 0.0005711846 0.00051896204 0.004729409 0.00064103235 0.00053723995 0.0007813806 0.000800964 0.000528101 0.00039623893 0.00033683574 0.00033226624 0.00041060013 0.0003309607 0.00040211398 0.00076179707 0.003864472 0.00040276675 0.0008061863 0.0006083932 0.0006619214 0.0003518497 0.0015268581 0.0006912966 0.0011541193 0.00030550218 0.00022586272 0.00033291904 0.0007422136 0.0005228787 0.00053005933 0.0019785834 0.030783914 0.0043906146 0.004808395 0.0046451995 0.0075827204 0.0069292854 0.0037776518 0.006179238 0.018650647 0.001667859 0.0012546479 0.0026117824 0.007898667 0.0023793918 0.0067895898 0.011308149 0.0240942 0.0057072765 0.005298635 0.004515296 0.008174794 0.00952279 0.004299225 0.0064788656 0.015740542 0.0012859814 0.0016371784 0.0022462243 0.0075220116 0.0028245896 0.0068718405 0.012764507 0.041308723 0.041444503 0.04157702 0.04199284 0.041324392 0.04096928 0.041352462 0.042010464 0.04104696 0.041811366 0.040768873 0.041262377 0.041513044 0.041045655 0.041624673 0.04204898 3746.0 7.765617 29090.0 0.0224132 0.006015813 0.008181506 0.0067377104 0.016706772 0.0057064286 0.0067033344 0.0075283605 0.007493984 0.0066345823 0.005981437 0.0057408046 0.0071502235 0.007493984 0.009969061 0.0075627365 0.015744243 0.010690959 0.01137848 0.013028532 0.011550361 0.011069096 0.009969061 0.008044002 0.010519079 0.0124441385 0.009659677 0.011447233 0.0094190445 0.009315916 0.009831557 0.008628394 0.0075627365 0.008387762 0.0066345823 0.009934685 0.013853558 0.00797525 0.008731523 0.008353386 0.0077346168 0.008525266 0.0062908214 0.005878309 0.009384668 0.0071158474 0.0068752146 0.0070470953 0.012581643 0.007493984 0.00797525 0.012066002 0.010656583 0.006359574 0.009487797 0.012306634 0.0076658647 0.0069783432 0.0072877277 0.0067377104 0.008009626 0.006359574 0.0068064625 0.0077346168 0.009040908 0.02100378 0.008628394 0.01567549 0.016569268 0.035338603 0.013509797 0.009797181 0.010003437 0.02021313 0.009900309 0.005912685 0.018184943 0.011859746 0.01856308 0.020556893 0.011619113 0.005912685 0.02591956 0.017806806 0.03100722 0.011894122 0.009144036 0.009384668 0.009006532 0.009865933 0.006015813 0.0056033 0.0072533516 0.0053626676 0.0058439327 0.006050189 6.434511 0.0 8.0 0.0 6.0 767928.0 401408.0 1.0 0.0 134.0 1.0 1.0 1.0 0.0 0.0 1502459600.0 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 188928.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -189440.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6746616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1556306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2371867 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.391274 0.0 4.7120643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -127632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -189107.0 0.0 18048.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 232512.0 40.0 232564.0 18048.0 372736.0 0.0 0.0 4184.0 763744.0 8024.0 393216.0 84.0 224848.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 202904.0 0.0 0.0 540.0 196608.0 288.0 229828.0 0.0 0.0


Input: 0.34246504 0.027446546 0.020970395 0.011564556 0.018040707 0.008120888 0.015522204 0.006013569 0.011358964 0.007966694 0.014391447 0.0068359375 0.0052939965 0.0025699013 0.0073499177 0.005191201 0.0049856086 0.008634868 0.0056537827 0.0032894737 0.0014905428 0.0028268914 0.007401316 0.0028782894 0.0010279606 0.0013877467 0.0006167763 0.0014905428 0.0010793585 0.00087376643 0.00087376643 0.0009765625 0.011924342 0.0015933388 0.001953125 0.0010793585 0.0021073192 0.0016447369 0.0013877467 0.0011821546 0.00884046 0.0012335526 0.004317434 0.001850329 0.0019017269 0.0012335526 0.0068873353 0.00066817435 0.0048828125 0.001953125 0.0012849506 0.0013363487 0.0017989309 0.00066817435 0.0007709704 0.0008223684 0.0029296875 0.0021073192 0.00066817435 0.00035978618 0.0008223684 0.0009765625 0.00030838815 0.00046258225 0.0037520558 0.0024671052 0.002210115 0.0032380756 0.0029810856 0.0029296875 0.0027754933 0.0014905428 0.00087376643 0.0032380756 0.00066817435 0.0005653783 0.0025185032 0.0019017269 0.0029810856 0.0012849506 0.0015933388 0.00066817435 0.0031352795 0.0032380756 0.0042146384 0.0034950657 0.0027754933 0.0011307566 0.0012849506 0.0021073192 0.00035978618 0.00025699014 0.0007709704 0.00035978618 0.00015419407 0.0064247535 0.0007709704 0.013620477 0.0035464638 0.0067845397 0.0070929276 0.034282483 0.0035464638 0.008480675 0.0046258224 0.019479852 0.00025699014 0.0013877467 0.010074013 0.0066303452 0.019325659 0.01511102 0.005705181 0.0011307566 0.016344571 0.0126953125 0.030530429 0.007658306 0.003957648 0.0015419408 0.0029296875 0.005448191 0.0015419408 0.0066303452 0.0032894737 0.0022615131 0.00035978618 0.00025699014 0.003700658 0.0010793585 0.0004111842 0.0009251645 0.00015419407 0.00035978618 0.0045230263 0.0 0.00030838815 0.0004111842 0.0002055921 0.00025699014 0.00015419407 0.0004111842 0.00015419407 0.00010279605 0.00025699014 0.0008223684 0.0 0.0002055921 0.00010279605 0.0 0.00030838815 0.00010279605 0.0002055921 0.0015933388 5.1398027e-05 0.00010279605 0.00010279605 0.00035978618 0.00010279605 0.0023129112 0.00046258225 0.00010279605 0.00030838815 0.00010279605 0.00030838815 0.00071957236 0.00010279605 5.1398027e-05 0.00015419407 0.00010279605 0.00010279605 0.0014905428 0.00015419407 5.1398027e-05 0.00015419407 0.00010279605 0.0005139803 0.0005139803 0.00010279605 0.00015419407 0.0002055921 0.0 0.0002055921 0.00025699014 0.00071957236 0.0002055921 0.0002055921 0.00025699014 0.0002055921 0.0002055921 0.00015419407 0.00010279605 0.00046258225 0.0002055921 0.00015419407 0.00035978618 0.00046258225 0.00010279605 0.00025699014 0.0 0.00010279605 0.00015419407 0.00010279605 0.00015419407 0.0002055921 0.0002055921 0.00015419407 0.00025699014 0.00010279605 0.0002055921 0.00010279605 0.00010279605 0.00025699014 5.1398027e-05 0.00015419407 0.00046258225 0.00087376643 5.1398027e-05 0.0 0.00025699014 0.0011307566 0.00010279605 0.00010279605 0.00035978618 0.0006167763 0.00025699014 0.00010279605 0.00025699014 0.00010279605 0.00010279605 0.0002055921 0.00010279605 0.00035978618 0.00015419407 5.1398027e-05 0.0005653783 0.00071957236 0.0 5.1398027e-05 0.00015419407 0.0009765625 0.0005653783 0.0009251645 0.00025699014 0.00015419407 0.00025699014 0.0004111842 5.1398027e-05 0.0002055921 0.00046258225 0.0004111842 0.00010279605 0.00035978618 0.0004111842 0.00030838815 0.00071957236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.043402776 0.00013563369 0.0009765625 0.00043402778 0.0010579427 0.0009765625 0.005750868 0.0024414062 8.138021e-05 0.0 2.7126736e-05 0.000108506945 0.0 2.7126736e-05 8.138021e-05 5.4253473e-05 0.07899305 0.008110894 0.008626302 0.0039876304 0.001030816 0.0017089844 0.0017361111 0.005452474 0.00035264756 2.7126736e-05 0.000108506945 0.00021701389 0.00013563369 0.00013563369 8.138021e-05 0.00040690103 0.082085505 0.0076226126 0.008083767 0.0062120226 0.013237847 0.009765625 0.053738065 0.03889974 0.00048828125 0.00024414062 0.00032552084 0.0003797743 0.00021701389 0.00024414062 0.00013563369 0.00054253475 0.15619574 0.011230469 0.010335286 0.004909939 0.009901259 0.008517795 0.028808594 0.018934462 0.0071343314 0.005126953 0.0029025609 0.0026041667 0.0021158855 0.0024956597 0.0025499132 0.004014757 0.07571072 0.0072428384 0.009114583 0.002766927 0.0059136283 0.006157769 0.03049045 0.018853081 0.0040690103 0.0008409288 0.0006510417 0.00054253475 0.00062391494 0.0013563368 0.0007866754 0.001546224 0.04397244 0.0061306423 0.008327908 0.0030381945 0.0037706164 0.00390625 0.024983725 0.013807509 0.00094943575 0.00040690103 0.00040690103 0.00018988716 0.0002983941 0.00024414062 0.00035264756 0.00032552084 0.014322917 0.0062120226 0.0052083335 0.001437717 0.0021430121 0.0022515191 0.014702691 0.007975261 0.0007052951 0.00032552084 0.00024414062 2.7126736e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 304.0 16.726974 5085.0 0.013765979 0.00019665684 0.00039331368 0.0005899705 0.0 0.00019665684 0.0 0.0 0.0 0.0 0.00019665684 0.0 0.0031465094 0.0 0.017109144 0.0 0.0019665684 0.0005899705 0.00078662735 0.00039331368 0.00019665684 0.00019665684 0.0 0.00078662735 0.0 0.0 0.00039331368 0.0 0.00019665684 0.001179941 0.00019665684 0.0 0.00019665684 0.007866274 0.005899705 0.010619469 0.0041297935 0.008259587 0.0057030483 0.0045231073 0.001179941 0.009439528 0.00019665684 0.00039331368 0.0068829893 0.0045231073 0.0041297935 0.002163225 0.003343166 0.0 0.008456244 0.009439528 0.012586038 0.01179941 0.00373648 0.002359882 0.0015732547 0.0015732547 0.00039331368 0.0 0.0 0.0 0.0 0.022222223 0.0005899705 0.04582104 0.011406097 0.022615535 0.020845624 0.119960666 0.011012782 0.029498525 0.016519174 0.06253687 0.00039331368 0.0031465094 0.033824977 0.020845624 0.06312685 0.04837758 0.018485742 0.001179941 0.054473944 0.040314652 0.108357914 0.025368731 0.011602753 0.00432645 0.009242871 0.016322518 0.00373648 0.0 0.0 0.0 0.0 0.0 4.916298 0.0 0.0 0.0 1.0 19456.0 49152.0 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 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 17408.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5549355 0.0 2.6415622 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 -17108.0 0.0 1024.0 0.0 0.0 0.0 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 79.0 25212.0 1024.0 32768.0 0.0 0.0 0.0 0.0 12.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.26394165 0.021059899 0.027914107 0.01338128 0.023929313 0.006948731 0.022545978 0.008440563 0.009714579 0.0055538886 0.01889736 0.004319326 0.0056015616 0.004926744 0.004455769 0.0028061236 0.0029885955 0.009818144 0.0058045825 0.0064120004 0.003922326 0.0031710675 0.0046275556 0.0036157402 0.002663927 0.001779513 0.0018502004 0.0018066372 0.002370492 0.0019217096 0.0014532005 0.0028217405 0.016619748 0.0010611322 0.0019373266 0.001808281 0.002067194 0.0016874551 0.0018156787 0.0011729168 0.010325285 0.0014647077 0.008231789 0.0026992706 0.005342649 0.0050697625 0.0037941025 0.0012140141 0.0045305663 0.0023252852 0.0021921298 0.0036831398 0.0016069043 0.0011671633 0.0017047159 0.0009468817 0.0020795232 0.002161718 0.0023236412 0.0025677592 0.0011005857 0.0012690845 0.0010307202 0.0010972979 0.0021534984 0.002569403 0.0016751259 0.0035697112 0.0023524093 0.0039486284 0.0026425563 0.0016775917 0.0014088154 0.0028998253 0.0010019521 0.00086633104 0.002008014 0.0021682933 0.0018921196 0.00179513 0.0033214835 0.0012222336 0.002222542 0.0038310902 0.0030075002 0.0015863557 0.002736258 0.0017047159 0.0020721257 0.0027165313 0.0007693414 0.0012345628 0.0010677078 0.0010323641 0.001139217 0.0032598376 0.001856776 0.010204459 0.0034028562 0.0064267954 0.0062993937 0.020321792 0.0032269598 0.0041853487 0.004246173 0.011140656 0.0017926642 0.0015271755 0.008589335 0.0050418163 0.010935169 0.023189561 0.006587075 0.0009082503 0.013650878 0.0103630945 0.018479811 0.0074295695 0.0024872085 0.0019718483 0.0022693928 0.0031858624 0.0017729375 0.009449912 0.0013701839 0.0043259016 0.002813521 0.00078989007 0.0044516595 0.0021658277 0.0013948423 0.0036773863 0.0013348402 0.002053221 0.0016241652 0.00088770164 0.0010841467 0.0019718483 0.0009822254 0.0036921813 0.0015403267 0.0027000925 0.0014951196 0.0009361964 0.00082934345 0.0015592314 0.00066084455 0.00087537244 0.00081454846 0.0008564677 0.0008474263 0.00081290456 0.0007274222 0.0008926333 0.0011030515 0.00060084247 0.00061974727 0.0006156375 0.0008745505 0.0005844036 0.0008441385 0.0006600226 0.001111271 0.00046193364 0.00069865404 0.00073892943 0.0005449502 0.00044220692 0.00060577417 0.0006550909 0.00057782803 0.00054248434 0.0005679646 0.0005950889 0.0005646769 0.0007331758 0.0007676975 0.000638652 0.0004274119 0.0007570122 0.00057782803 0.00070933934 0.00073892943 0.0007504367 0.0005950889 0.00049316755 0.00046275556 0.00070851744 0.0006033083 0.00067481765 0.0005893353 0.00051946985 0.0020203432 0.00079893146 0.00071591494 0.0017754033 0.0015773143 0.00046933113 0.0012690845 0.0011079832 0.0009501695 0.00089509913 0.00047097504 0.0004487825 0.0013981301 0.000593445 0.0006172814 0.00055892323 0.00088770164 0.00060084247 0.00055316964 0.0005276893 0.000790712 0.00043727524 0.0004989212 0.0004076852 0.00091236003 0.00046193364 0.00045700197 0.00054084044 0.0007857803 0.00069618825 0.0009830474 0.0007241344 0.00094030617 0.000684681 0.00045864584 0.00036576594 0.00076358777 0.00040686326 0.0005556355 0.00037973904 0.0025800883 0.00065755675 0.0006139936 0.0008745505 0.000927977 0.0004043974 0.00068385905 0.0005063187 0.00086468714 0.00060084247 0.000425768 0.00044549472 0.0006493373 0.00038384876 0.00067481765 0.0004759067 0.0010109935 0.00064111786 0.00052522344 0.00045453612 0.0012756601 0.0005753622 0.0011983973 0.009079215 0.031936556 5.3476465e-06 9.049863e-06 1.275208e-05 9.049863e-06 3.2908592e-06 1.5220225e-05 1.0695293e-05 8.227148e-07 2.4681444e-06 8.227148e-07 8.227148e-07 2.056787e-06 3.2908592e-06 4.113574e-07 8.227148e-07 0.0040123803 1.1929365e-05 7.815791e-06 5.388782e-05 1.5220225e-05 8.638505e-06 3.8667597e-05 1.4397509e-05 1.0283935e-05 7.815791e-06 3.7022166e-06 4.936289e-06 6.1703613e-06 4.936289e-06 3.2908592e-06 8.227148e-06 0.0015623354 9.4612205e-06 1.3163437e-05 9.872578e-06 1.6454296e-05 8.638505e-06 2.4681445e-05 1.3986152e-05 5.3476465e-06 2.8795018e-06 2.8795018e-06 4.113574e-06 2.056787e-06 3.2908592e-06 4.113574e-06 1.6454296e-06 0.00807618 4.44266e-05 0.00012628673 0.00010037121 0.00011353465 6.540583e-05 0.000403953 0.00018140861 1.6454296e-05 2.6326874e-05 1.1518007e-05 1.5220225e-05 3.2085878e-05 8.638505e-06 2.9617733e-05 1.5631582e-05 0.005576361 2.6326874e-05 0.00011600279 0.00016865654 0.00016577703 5.1831033e-05 0.00032332694 0.0001641316 4.319253e-05 1.3163437e-05 1.6042939e-05 1.8922441e-05 1.5220225e-05 1.1518007e-05 1.110665e-05 1.8099727e-05 0.008093046 0.00018181998 0.00021143771 0.00025586432 0.00018264269 9.1732705e-05 0.00029288649 0.00014932275 5.594461e-05 7.52784e-05 6.08809e-05 5.6355966e-05 0.00012052772 8.1448765e-05 4.4015243e-05 0.00015631581 0.019020343 0.0009041636 0.0008729004 0.00102428 0.0007206982 0.0004105347 0.002104093 0.0011448077 0.00030975213 0.00020321057 0.00021884215 0.00014315239 0.00018593355 0.00025463023 0.00025092802 0.0008753686 0.023744784 0.0013319753 0.0054517197 0.0016511887 0.0076154596 0.00471539 0.04493216 0.023460535 0.00034718565 0.00021102636 0.00015014545 0.0001225845 0.00012834351 0.00013492523 0.00014397509 0.0012756194 0.09984097 0.009917005 0.020270871 0.0056927754 0.00679727 0.0053801434 0.033436365 0.023166416 0.0028062803 0.0016882109 0.0009987758 0.0009457107 0.0009769739 0.0012953645 0.0011225943 0.002176492 0.14567894 0.021669487 0.023596695 0.009343161 0.00533366 0.0055286437 0.023344122 0.02237085 0.004922714 0.0026730006 0.0021102636 0.0018412358 0.001970402 0.0028177982 0.0024500447 0.0032032402 0.044185955 0.009077836 0.005814537 0.0028716861 0.0030366404 0.0025853813 0.0049548 0.004532336 0.0034052166 0.001794341 0.0011172467 0.0016655861 0.0021748466 0.0014648438 0.0014413964 0.0017054878 0.025908113 0.006190929 0.0031320753 0.002631042 0.0021756694 0.0020193534 0.003104103 0.0025146278 0.0038215104 0.001576733 0.0010271595 0.00091773836 0.0016910903 0.0010419684 0.001031273 0.001031273 0.008106209 0.0029650643 0.0018112067 0.0015553423 0.0010288049 0.0012336608 0.0019350253 0.0013768133 0.0018984145 0.0005162536 0.000672158 0.00040724385 0.00041670506 0.00036158317 0.0003467743 0.0006425403 0.009278989 0.0019815087 0.0017910502 0.0018375335 0.0025257345 0.003999217 0.0019366707 0.0029144674 0.005379321 0.0007293367 0.00052694883 0.00076718157 0.002731002 0.0006886123 0.0018523424 0.0031830836 0.007894771 0.0019835655 0.0017651346 0.002784067 0.0026573688 0.0044072834 0.0027486903 0.0031481183 0.005987307 0.0010444365 0.000996719 0.0010427911 0.0032493123 0.00093666086 0.0023151196 0.0042164135 0.0010699406 0.0007737633 0.0013739337 0.0018223133 0.0022599977 0.0024418177 0.002887729 0.0027643219 0.0030111363 0.0027211292 0.0024385268 0.002067071 0.001977395 0.0011645529 0.0007675929 0.00078733807 11669.0 18.919872 220776.0 0.060513824 0.0002672392 0.0019974997 0.002038265 0.0009149545 0.00086965977 0.0002853571 0.0015128456 0.0020246767 0.0019884408 0.0019748523 0.0005435373 0.0040584123 0.010454034 0.008683009 0.0017393195 0.0069119832 0.002975867 0.002568214 0.0031298692 0.0023145631 0.0016079646 0.0037957025 0.0014086677 0.001440374 0.0033608726 0.007772584 0.007700112 0.0006295974 0.0029441605 0.0013996087 0.00036688772 0.0009013661 0.0074872267 0.0040131174 0.013230605 0.006141972 0.008067 0.00676704 0.0036824655 0.002368917 0.0096568465 0.000711128 0.0009783672 0.004814835 0.0061374423 0.004520419 0.0052587236 0.005847556 0.0007926586 0.005761496 0.012279415 0.00936243 0.0026225676 0.0025048011 0.002681451 0.0008379534 0.000919484 0.00050277205 0.0008515418 0.0009602493 0.00089230714 0.0006748922 0.010553683 0.0014041382 0.0459742 0.013556727 0.026094321 0.025351487 0.09593887 0.011056456 0.01733884 0.01387379 0.04725151 0.002038265 0.003714172 0.035520166 0.021030366 0.04841559 0.05673171 0.018525565 0.0008334239 0.052582707 0.037513137 0.07354966 0.018548211 0.007872232 0.0049326015 0.0069436897 0.011400696 0.002586332 0.0031887523 0.0011640758 0.0010055441 0.00046200675 0.0006250679 5.3471947 11.0 12.0 1.0 10.0 1216625.0 28672.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1301832400.0 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 2.0 50.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 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 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.769546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.322406 0.0 0.0 0.0 0.0 -4.516155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.191553 0.0 5.0674453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1841.0 0.0 0.0 0.0 0.0 -1960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6552.0 0.0 700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.032135952 0.0036042205 0.0054163984 0.0036847617 0.0038559118 0.003765303 0.0045908503 0.0035639498 0.0034834086 0.0035438144 0.004762001 0.003644491 0.0037854381 0.0033927995 0.004741865 0.005074098 0.0038055736 0.0032820555 0.0045002415 0.0036243557 0.0033021907 0.0035035438 0.004631121 0.0037250323 0.0036847617 0.0033625967 0.0046814596 0.003926385 0.0035740174 0.0034733408 0.0044700387 0.003322326 0.0035639498 0.003704897 0.0046713916 0.0029900933 0.0031612436 0.0032820555 0.00455058 0.0035740174 0.0032719877 0.0033625967 0.004832474 0.0031411082 0.0034733408 0.0036243557 0.0044499035 0.0034934762 0.003584085 0.0032719877 0.004631121 0.0034733408 0.003292123 0.0034934762 0.0043894975 0.0036344233 0.0035337468 0.0034028674 0.0046814596 0.0035337468 0.003412935 0.0033021907 0.0048526097 0.0033625967 0.0037149645 0.0034230025 0.0043290914 0.0032115818 0.0031914464 0.0032115818 0.0048626773 0.0037451675 0.0031813788 0.003644491 0.0044096326 0.0031310406 0.003292123 0.0037753705 0.0046210536 0.0035941526 0.0034834086 0.0031713112 0.004510309 0.0033323937 0.00309077 0.0034934762 0.0047720685 0.0034330701 0.0035136114 0.0033726643 0.004741865 0.0035136114 0.0034330701 0.0032015142 0.0047317976 0.0035035438 0.0034532056 0.0034632732 0.0044096326 0.00390625 0.003322326 0.003231717 0.004631121 0.003644491 0.0036646263 0.0035740174 0.0045807827 0.0036746939 0.003412935 0.0033927995 0.0043492266 0.003443138 0.0034028674 0.0034028674 0.0048022713 0.0035438144 0.0037854381 0.0030807024 0.004842542 0.00326192 0.003584085 0.003644491 0.004610986 0.0034230025 0.0031914464 0.0037351 0.0044096326 0.0035236792 0.003443138 0.0050841654 0.0045002415 0.0035941526 0.0033927995 0.003644491 0.00420828 0.003765303 0.0037149645 0.0040069264 0.004782136 0.0036847617 0.0029900933 0.004137806 0.004319024 0.003443138 0.0034330701 0.0035035438 0.004641189 0.0033323937 0.003412935 0.0034934762 0.004429768 0.0032820555 0.0033927995 0.0034934762 0.0047922037 0.0031511758 0.003553882 0.0037753705 0.004923083 0.003584085 0.0033927995 0.0031310406 0.0049935565 0.0039163176 0.0036847617 0.003704897 0.0048022713 0.0032015142 0.0034532056 0.00309077 0.004812339 0.0037753705 0.0034632732 0.0036545587 0.0045807827 0.0039867912 0.003412935 0.003231717 0.004741865 0.003030364 0.0034330701 0.0036646263 0.0050338274 0.0036948293 0.0034330701 0.0032216494 0.004459971 0.0036344233 0.003231717 0.0036344233 0.0046512564 0.003443138 0.0035639498 0.0038458442 0.004631121 0.0040371297 0.0036646263 0.0035136114 0.0048526097 0.0037250323 0.003553882 0.0036545587 0.004953286 0.0033726643 0.0034733408 0.0038257088 0.004762001 0.003352529 0.0034532056 0.003322326 0.0047116624 0.00326192 0.0033021907 0.0034532056 0.0041780765 0.0036948293 0.0033021907 0.0033625967 0.004923083 0.0033726643 0.0036545587 0.00390625 0.0047116624 0.00326192 0.0033122583 0.0033323937 0.0049130153 0.0036847617 0.0035337468 0.0034028674 0.0043894975 0.0031109052 0.0033625967 0.0034834086 0.004319024 0.0036545587 0.003292123 0.0037753705 0.004641189 0.0035941526 0.003443138 0.0032719877 0.0048526097 0.0033625967 0.0036042205 0.0036344233 0.0045606475 0.004107603 0.0031008376 0.0037250323 0.0044801063 0.0037451675 0.003584085 0.0033323937 0.004570715 0.0037149645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0094045 8.138021e-05 4.5776367e-05 4.5776367e-05 4.0690105e-05 8.138021e-05 7.120768e-05 9.6639e-05 8.138021e-05 5.5948894e-05 6.1035156e-05 5.086263e-05 0.00012207031 6.1035156e-05 7.120768e-05 4.5776367e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005015055 0.0003712972 0.0002339681 0.00018819173 0.00032552084 0.00026957193 0.0004374186 0.00030517578 0.00085957843 0.00012715657 0.00012715657 0.0002644857 0.0005950928 0.00023905437 0.00041707358 0.00064086914 0.0045522056 0.0004272461 0.00036621094 0.00037638345 0.00035603842 0.00038146973 0.000386556 0.00044759116 0.00041707358 0.00040690103 0.00047810873 0.00033569336 0.00044250488 0.00035095215 0.00033569336 0.00035603842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0068155923 0.0009816488 0.00083414715 0.00096638995 0.001042684 0.0010884603 0.000890096 0.001276652 0.003926595 0.00068155926 0.00093078613 0.0014088949 0.0033772786 0.0019785564 0.0017191569 0.0033315022 0.05929057 0.059453327 0.058186848 0.058883667 0.058019 0.058003742 0.05873108 0.058619183 0.05788676 0.05953471 0.06068929 0.05848694 0.058802288 0.057820637 0.057851154 0.057240803 406.0 5.7832513 2348.0 0.011073254 0.011925043 0.014480409 0.0063884156 0.00681431 0.01362862 0.007666099 0.009369676 0.009369676 0.008517887 0.011499148 0.008091994 0.009795571 0.008517887 0.014480409 0.010647359 0.008943782 0.008517887 0.01362862 0.009369676 0.008091994 0.008091994 0.008517887 0.012776831 0.009795571 0.009795571 0.010647359 0.008091994 0.009795571 0.008943782 0.008943782 0.011499148 0.013202726 0.010647359 0.014480409 0.008091994 0.008091994 0.010647359 0.012776831 0.0102214655 0.008091994 0.009369676 0.011499148 0.011499148 0.0063884156 0.0102214655 0.016609881 0.0102214655 0.01362862 0.0072402046 0.01362862 0.011925043 0.0063884156 0.007666099 0.014906303 0.007666099 0.0072402046 0.00681431 0.017887564 0.008517887 0.008517887 0.011073254 0.012350937 0.009369676 0.011073254 0.011925043 0.012350937 0.011499148 0.0063884156 0.011925043 0.014906303 0.009795571 0.010647359 0.011073254 0.014480409 0.008517887 0.012776831 0.009795571 0.009369676 0.011499148 0.009369676 0.011073254 0.0140545145 0.014480409 0.011073254 0.0072402046 0.013202726 0.007666099 0.0072402046 0.0102214655 0.0102214655 0.008517887 0.008943782 0.011925043 0.012776831 0.009369676 6.545107 0.0 0.0 0.0 3.0 99328.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 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 0.0 512.0 512.0 4096.0 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 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9828706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0