Input: 0.19841066 0.0035340572 0.002734452 0.0029911154 0.0039486676 0.002467917 0.0028232972 0.0023988155 0.002981244 0.002852912 0.0025074037 0.0022704836 0.0028726554 0.0024777888 0.0028134254 0.002586377 0.003158934 0.0029911154 0.0024284304 0.0023593288 0.0026850938 0.002408687 0.0027640671 0.002230997 0.0025074037 0.002349457 0.002171767 0.0023099703 0.0022704836 0.002171767 0.0021026654 0.0026357356 0.0029318854 0.002171767 0.0022803554 0.002082922 0.0032280355 0.004234946 0.0024777888 0.0022803554 0.002467917 0.0022704836 0.002082922 0.0022803554 0.0021915103 0.0023395855 0.002408687 0.0035932872 0.0023000988 0.0022112536 0.0024876604 0.0025765055 0.0024777888 0.0024185588 0.0022704836 0.0023297137 0.0023593288 0.0027147087 0.002349457 0.0023692003 0.0024777888 0.0024876604 0.002082922 0.0022507403 0.009575518 0.0023297137 0.0023395855 0.002349457 0.0030602172 0.0035636723 0.0027838105 0.0021520236 0.002793682 0.0020335636 0.0022408688 0.0021322803 0.0023692003 0.0023790721 0.0025074037 0.002142152 0.003366239 0.0024975322 0.0023593288 0.0027739387 0.0023692003 0.0025962489 0.0028825272 0.002675222 0.002408687 0.0027443238 0.0021322803 0.0023889437 0.002112537 0.002290227 0.0028331687 0.002527147 0.0024975322 0.0024876604 0.0023889437 0.0023297137 0.0029911154 0.0035538005 0.0027640671 0.0023395855 0.0029615005 0.0030602172 0.004185587 0.0022704836 0.0031293188 0.0034057256 0.003425469 0.0030602172 0.0030700888 0.002171767 0.0030306021 0.0025370189 0.003869694 0.002586377 0.0021224087 0.0020927936 0.0025666337 0.002349457 0.0023889437 0.0022112536 0.0022803554 0.0022704836 0.0021816387 0.0019151036 0.007206318 0.0027541954 0.0030306021 0.0036229023 0.0023692003 0.027413623 0.0025074037 0.0023889437 0.0066732476 0.0036130305 0.0024777888 0.004768016 0.0023988155 0.0040078973 0.0024185588 0.0020730502 0.007788746 0.0023692003 0.0025962489 0.0027541954 0.0026949653 0.0041757156 0.0022803554 0.002319842 0.002319842 0.002408687 0.0022803554 0.0023099703 0.0022704836 0.0030700888 0.0022507403 0.0022803554 0.0025370189 0.0024383022 0.0023395855 0.0023297137 0.002260612 0.0019447186 0.0024284304 0.0023395855 0.002467917 0.0021026654 0.0023790721 0.002112537 0.0030898321 0.001934847 0.0022408688 0.0022211254 0.0023988155 0.0021816387 0.0019545904 0.002142152 0.002201382 0.0019545904 0.0024284304 0.002260612 0.0026258638 0.0024876604 0.0024580455 0.002112537 0.002142152 0.002171767 0.002290227 0.0022704836 0.002912142 0.0023889437 0.0025765055 0.0033958538 0.0027443238 0.0021520236 0.027324777 0.0026949653 0.0023593288 0.0024284304 0.0021816387 0.0021816387 0.0035241856 0.0021915103 0.0022507403 0.0023297137 0.0024777888 0.0022408688 0.0021816387 0.0023297137 0.0021026654 0.0022408688 0.0020631787 0.0023692003 0.0022803554 0.0021618954 0.0019743338 0.0025172755 0.0023297137 0.0019940769 0.002201382 0.0023000988 0.0023988155 0.0031786773 0.0025172755 0.0022507403 0.002142152 0.002053307 0.0024185588 0.0027541954 0.003751234 0.0027640671 0.0023889437 0.0024383022 0.0024481737 0.002171767 0.0023395855 0.0024284304 0.0022704836 0.0023988155 0.002260612 0.002260612 0.0035735439 0.004679171 0.004886476 0.005054294 0.0048963474 0.0047384007 0.004817374 0.0048075025 0.004975321 0.0049457056 0.0047778874 0.06376111 0.072164945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009675016 0.0 1.0067654e-05 2.0135309e-05 8.0541235e-05 7.550741e-05 0.00030706346 0.00012584568 5.033827e-06 0.0 0.0 5.033827e-06 5.033827e-06 0.0 0.0 0.0 0.019168815 1.0067654e-05 7.047358e-05 2.0135309e-05 0.0003322326 0.000100676545 0.000523518 0.00028189432 4.0270617e-05 0.0 0.0 0.0 0.0 0.0 3.0202964e-05 4.0270617e-05 0.03643484 0.00036243556 0.00048828125 4.5304445e-05 0.00043794297 0.00019631926 0.000729905 0.0005033827 0.00032719877 6.0405928e-05 0.00010571037 0.00019128543 0.00041277384 4.5304445e-05 0.00028189432 0.0006141269 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007908143 0.00015101481 0.00038257087 4.0270617e-05 0.00024162371 0.0001308795 0.00056378864 0.0003171311 0.00017618395 2.5169136e-05 2.5169136e-05 9.060889e-05 3.0202964e-05 1.0067654e-05 0.00014094716 7.550741e-05 0.007314151 0.0006090931 4.5304445e-05 9.060889e-05 0.00016108247 0.000100676545 0.000100676545 5.0338273e-05 0.00105207 0.00029196197 9.564272e-05 0.0001107442 6.543975e-05 4.5304445e-05 0.0001107442 6.543975e-05 0.012388249 0.00034733408 0.00025169135 0.0002969958 0.00105207 0.00078527705 0.0017719072 0.0011426788 0.0011175097 0.0003674694 7.047358e-05 7.047358e-05 0.00041277384 7.550741e-05 0.00021142075 0.00025672518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013249033 0.0034783746 0.002768605 0.0031159392 0.0053962627 0.0039867912 0.0049482523 0.0034582394 0.03301687 0.004751933 0.0030807024 0.0030555332 0.0248067 0.0028692817 0.0031109052 0.08078286 0.019017799 0.0020638693 0.0010671713 0.00089098746 0.0032820555 0.0014296069 0.0029649243 0.0017618396 0.0051848423 0.0014346408 0.0010822729 0.0009211904 0.0029045183 0.00069466815 0.0011829494 0.005663056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010284109 0.0012785922 0.0030555332 0.0008809198 0.0046814596 0.002622624 0.0019027868 0.0009765625 0.006679889 0.005189876 0.000729905 0.00051345036 0.004057265 0.0006443299 0.0017316366 0.0063174535 0.0011225435 0.0002214884 0.00036243556 0.00023155606 0.0009866301 0.00047317977 0.00030706346 0.00022652223 0.0013389981 0.00061916077 0.00020135309 0.00014094716 0.0015504188 0.00018121778 0.00032719877 0.0020185648 0.031889297 0.030817091 0.032317173 0.03205038 0.030389216 0.031098986 0.03232724 0.030731516 0.031506725 0.032830622 0.03125 0.031098986 0.032060444 0.031174492 0.03278532 0.030827159 294.0 7.302721 2147.0 0.013972986 0.010246856 0.00605496 0.007918025 0.007452259 0.0041918955 0.004657662 0.00978109 0.0088495575 0.007452259 0.007918025 0.006986493 0.005589194 0.004657662 0.013041453 0.0065207267 0.00605496 0.004657662 0.006986493 0.004657662 0.00605496 0.009315324 0.005589194 0.010712623 0.005123428 0.007918025 0.0041918955 0.007452259 0.0065207267 0.0041918955 0.007918025 0.007452259 0.011644155 0.00978109 0.009315324 0.01210992 0.015370284 0.008383791 0.0088495575 0.00978109 0.009315324 0.007452259 0.0065207267 0.006986493 0.007452259 0.010712623 0.006986493 0.0065207267 0.011178388 0.004657662 0.007452259 0.011644155 0.010246856 0.005123428 0.0088495575 0.010712623 0.0088495575 0.004657662 0.005123428 0.010712623 0.004657662 0.005123428 0.00605496 0.020027947 0.005123428 0.021425245 0.012575687 0.017699115 0.016767582 0.050302748 0.010246856 0.008383791 0.010712623 0.024685608 0.016767582 0.010712623 0.02189101 0.01816488 0.021425245 0.01956218 0.014904518 0.00605496 0.026082907 0.01816488 0.04145319 0.01210992 0.007918025 0.007452259 0.017699115 0.012575687 0.0065207267 0.0065207267 0.007918025 0.005123428 0.005589194 0.005123428 6.334274 0.0 0.0 0.0 2.0 101300.0 49152.0 0.0 0.0 46.0 0.0 1.0 0.0 0.0 0.0 1404257700.0 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 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -28672.0 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 4.9836116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3716094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.591709 0.0 1.4605505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25856.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 -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 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -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 1.0 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 -1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65656.0 36104.0 487.0 45056.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 972.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.08618512 0.00846808 0.005614928 0.0064250487 0.007919817 0.004841631 0.0064250487 0.005209868 0.008461261 0.003735557 0.0033986885 0.0033550456 0.0065914374 0.0035937177 0.0034136907 0.0070033167 0.0064891493 0.0033795948 0.0032091148 0.0032350277 0.004943919 0.0038173874 0.0035064318 0.0029704429 0.00404924 0.003157289 0.0030181773 0.0032813982 0.0041392534 0.0032186618 0.0031750188 0.0031300122 0.008030288 0.0029172532 0.0033018559 0.003370048 0.005361254 0.0030304517 0.0029554407 0.0029036147 0.0032186618 0.002857244 0.0030604564 0.0036714564 0.0029595322 0.0030754586 0.0031968402 0.0028899764 0.004722977 0.0037082802 0.0037232824 0.00556583 0.003693278 0.0034955211 0.0034750635 0.003173655 0.0043206443 0.0041719857 0.0034982488 0.004867544 0.0036128114 0.0035077957 0.0033073113 0.0035691685 0.0051634973 0.003923767 0.0031013715 0.005634022 0.008084842 0.010740237 0.004193807 0.003350954 0.003650999 0.0028654272 0.0024971904 0.002510829 0.0028804294 0.007132882 0.0029568044 0.0027454093 0.0071928906 0.0036714564 0.002814965 0.0043179165 0.003027724 0.004346557 0.0046547847 0.0037560146 0.0027917798 0.004447481 0.0022776122 0.002654032 0.0024535477 0.0039769565 0.0032991283 0.0031245567 0.0023730812 0.003277307 0.0024440007 0.00311501 0.0036646372 0.005028477 0.0034246014 0.0023430765 0.003436876 0.0032473023 0.005275332 0.0023430765 0.0033495903 0.002681309 0.003113646 0.0034000524 0.0032527577 0.0020757641 0.0036537265 0.0037669253 0.008731302 0.009455501 0.0024958267 0.0022885231 0.0024017217 0.0021985096 0.0018016322 0.0018930095 0.0024467285 0.0040001418 0.0024658223 0.00243309 0.0036523626 0.0023267106 0.0018780073 0.009196371 0.003003175 0.006456417 0.0020880385 0.001888918 0.0026935835 0.0077561564 0.0022476078 0.017859481 0.0021889627 0.008866322 0.0019789315 0.0018739158 0.0021153153 0.0018520943 0.0017157104 0.0018370921 0.0019639293 0.001871188 0.001684342 0.0016106947 0.0018561858 0.0016406991 0.0016652483 0.0016829782 0.002135773 0.0017225295 0.0017716278 0.0019530185 0.002179416 0.0019025564 0.0015888732 0.0017948131 0.0018698242 0.0016966166 0.0016938889 0.0016993443 0.0021848711 0.0016379715 0.0017579894 0.0015793263 0.002135773 0.0016120585 0.0015888732 0.0017879938 0.0021848711 0.0016106947 0.0017157104 0.0015261366 0.002051215 0.0021371369 0.0024617307 0.0024521837 0.0030386348 0.0018589135 0.0016802505 0.0017266211 0.0019175586 0.002041668 0.0019802952 0.0016911612 0.005115763 0.002644485 0.0025981145 0.0036769118 0.0032118424 0.0016011478 0.0034941572 0.0037737445 0.0029036147 0.0026949472 0.0017893576 0.001760717 0.0034832465 0.0014906768 0.0027017666 0.002058034 0.0031327398 0.0022885231 0.002058034 0.0018261813 0.002569474 0.0016870697 0.0019516546 0.0018370921 0.0026103891 0.0020198466 0.0017198019 0.0022585185 0.002382628 0.0019966613 0.0015779625 0.0017839023 0.0030140858 0.0018398197 0.0017157104 0.0017538979 0.0024617307 0.0018534581 0.0016216054 0.0016979804 0.011988151 0.0033809587 0.0016707036 0.0041897157 0.0036428159 0.001718438 0.0017307126 0.0015820541 0.0034355123 0.0018520943 0.0019980252 0.0018575497 0.002476733 0.001573871 0.003183202 0.0023744449 0.0036469074 0.0019093755 0.0018275452 0.0025981145 0.0047011552 0.0029458937 0.005121218 0.081425324 0.009780649 6.8291087e-07 1.3658217e-06 0.0 0.0 0.0 6.8291087e-07 0.0 2.0487325e-06 6.8291087e-07 0.0 0.0 2.7316435e-06 0.0 0.0 1.3658217e-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 0.0001386309 6.1461974e-06 0.0011370465 1.02436625e-05 1.7755681e-05 1.9804414e-05 3.5511363e-05 2.458479e-05 2.0487325e-06 0.0 0.0 0.0 1.3658217e-06 2.0487325e-06 6.8291087e-07 2.7316435e-06 0.0 0.0 0.001026415 0.000110631554 5.6681598e-05 8.877841e-06 0.00011541193 8.058348e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040947334 0.00028135927 0.0001946296 4.780376e-05 0.0003277972 4.302338e-05 3.6194273e-05 5.2584135e-05 5.8730333e-05 2.7999344e-05 5.8730333e-05 3.6877187e-05 3.346263e-05 3.8243008e-05 3.209681e-05 0.00023014095 0.016542831 0.00034282124 0.0004234047 0.00042613636 0.0024857954 0.00021716565 0.0005736451 0.00036330856 0.00013589926 0.00032506557 0.00023697007 0.00013931381 0.00045618444 0.00037423513 9.697334e-05 0.0020350744 0.008457168 0.00029979786 0.0006228147 0.0005681818 0.0007532507 0.00038106425 0.0014436735 0.0008331512 0.0001830201 0.00015365494 8.604676e-05 9.219296e-05 0.00022126311 0.00025540867 7.2388546e-05 0.00096153846 0.0039089816 0.00046369646 0.0004916958 0.0003086757 0.0008242734 0.00053267047 0.0026455966 0.0011554852 4.985249e-05 3.0048077e-05 3.7560098e-05 3.14139e-05 5.1901225e-05 3.414554e-05 4.4389206e-05 0.0005784255 0.0073774857 0.001746203 0.0026025733 0.0015986942 0.0022658983 0.00089734484 0.0036207933 0.002013904 0.00041862435 0.00024038462 8.877841e-05 9.629043e-05 0.00011131447 0.0001638986 0.000116094845 0.0018165428 0.010053813 0.00848585 0.007826158 0.013126229 0.0057794745 0.0040872213 0.0032875328 0.0020405375 0.0015351835 0.0009833917 0.00080993224 0.0013869919 0.0007061298 0.0017072771 0.00056408433 0.013144668 0.020839024 0.010720334 0.010325612 0.009898793 0.009525923 0.007977081 0.0070660785 0.0052201706 0.00632512 0.0020637566 0.0014798678 0.0020862927 0.0018370302 0.0013207495 0.0018397619 0.031544335 0.031038297 0.0071207113 0.0056333314 0.0067498907 0.012658435 0.01052229 0.0057023056 0.008795208 0.020541275 0.0021422913 0.0019667833 0.003286167 0.008741941 0.0028320313 0.0097786 0.027525404 0.036445584 0.008894231 0.0063442416 0.008613555 0.016032014 0.013908845 0.007245001 0.014054305 0.02690259 0.002818373 0.0034022618 0.004596673 0.013047694 0.005974104 0.012569657 0.024745274 0.021527398 0.020390352 0.020171821 0.020981753 0.02074683 0.020239428 0.020731807 0.020724295 0.01985017 0.020309769 0.020559713 0.020339133 0.019822853 0.021008385 0.020782342 0.020485276 2928.0 12.397541 36300.0 0.07906336 0.0025619834 0.0061432505 0.0032782368 0.009972452 0.0035261707 0.0032231405 0.0042975205 0.003443526 0.0025344354 0.002754821 0.003663912 0.0046556476 0.0075482093 0.010358127 0.008044077 0.016115703 0.013168044 0.01137741 0.009146006 0.010964188 0.008374656 0.010055097 0.009201102 0.010606061 0.0095316805 0.012203856 0.0074104685 0.010220386 0.008292011 0.008980717 0.013856749 0.023195593 0.012203856 0.004738292 0.008980717 0.011928375 0.006473829 0.007878788 0.009807163 0.005812672 0.0077134985 0.003415978 0.003801653 0.0063636363 0.005950413 0.0058677685 0.005509642 0.011873278 0.003939394 0.0060881544 0.011873278 0.0071900827 0.0065564737 0.009256198 0.0065289256 0.0062809917 0.0037465566 0.0029476583 0.002892562 0.0037465566 0.003553719 0.0027272727 0.009256198 0.005013774 0.026969697 0.010523416 0.019035812 0.020633608 0.03988981 0.007575758 0.011212121 0.010909091 0.023939393 0.005812672 0.004600551 0.022561984 0.013581268 0.0222865 0.028044077 0.015840221 0.0036088154 0.027355371 0.026143251 0.042396694 0.013250689 0.0063911844 0.005812672 0.008099173 0.007134986 0.0033333334 0.0023966942 0.004132231 0.0033057851 0.0024242424 0.0031129476 6.1145782 0.0 42.0 0.0 13.0 733224.0 741376.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542103800.0 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 10.0 0.0 5.0 1.0 5.0 1.0 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47104.0 0.0 0.0 0.0 0.0 0.0 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 -249344.0 0.0 393728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9362693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9627776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.634831 0.0 7.6106815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19330.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46706.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 393364.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 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 1.0 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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 295828.0 393364.0 323584.0 0.0 0.0 11304.0 721920.0 12096.0 720896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 275160.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.20365241 0.02919145 0.005148699 0.004451673 0.008931227 0.0029460967 0.0035780668 0.0036710037 0.0133829 0.0019795538 0.0019702602 0.0015799257 0.009693309 0.0019330855 0.0013104089 0.013689591 0.027992565 0.001366171 0.0014591079 0.0009944238 0.0030762083 0.0034107806 0.002174721 0.00082713756 0.0027137545 0.0012360595 0.0009758364 0.0010594795 0.0021096654 0.00066914497 0.00071561337 0.0010594795 0.006654275 0.0016171003 0.0013847584 0.0013104089 0.004163569 0.0012639405 0.0009479554 0.0011431227 0.0019330855 0.00066914497 0.0007063197 0.0031598513 0.0014684015 0.0049535315 0.0013847584 0.0010130112 0.0055111526 0.002174721 0.0021282528 0.0076301116 0.0018494424 0.0025650559 0.001802974 0.0020539034 0.0035501858 0.0032156133 0.002388476 0.004851301 0.0028996284 0.0037918217 0.0026115242 0.0037081784 0.0032992566 0.0020167285 0.0027509294 0.0018494424 0.0027137545 0.009442379 0.003605948 0.0017379182 0.002211896 0.0013382899 0.00069702603 0.00055762084 0.0019888475 0.0046933084 0.0027695168 0.0015055762 0.0073141265 0.0031877323 0.0013011153 0.00366171 0.0021375464 0.005446097 0.0057899626 0.0048141265 0.0016356878 0.0058364314 0.0008178439 0.001542751 0.0010873605 0.0053531597 0.0039962824 0.002992565 0.0017750929 0.005092937 0.0016078067 0.0034293681 0.003745353 0.007918215 0.0052416357 0.0012546468 0.004321561 0.0039033457 0.0041171005 0.0012174721 0.0045260224 0.0015520446 0.0038011153 0.0043401485 0.0028903345 0.0005669145 0.005501859 0.004832714 0.015139406 0.014591078 0.001858736 0.0012918216 0.0022026023 0.0018401487 0.0013011153 0.00035315985 0.001105948 0.002267658 0.0018401487 0.002063197 0.0039405203 0.0017379182 0.0010780669 0.011840149 0.0027881041 0.0125743495 0.0007713755 0.00069702603 0.0019888475 0.007295539 0.0015892193 0.030139405 0.0010037174 0.008197026 0.0004182156 0.00038104088 0.0026858735 0.00053903344 0.00034386618 0.00042750928 0.0009572491 0.00078066916 0.00051115244 0.00059479557 0.0016821561 0.00066914497 0.0005483271 0.0006598513 0.0011802973 0.0006598513 0.00066914497 0.002063197 0.0016078067 0.0015520446 0.0010966542 0.0007063197 0.0018122677 0.0009851301 0.00035315985 0.00040892194 0.0012081785 0.000464684 0.00031598512 0.00035315985 0.00092007435 0.00038104088 0.00039033458 0.00039962825 0.001598513 0.00035315985 0.00024163569 0.00045539034 0.000929368 0.00076208176 0.0036802974 0.00080855016 0.00232342 0.00076208176 0.0008828996 0.0005483271 0.0008364312 0.00067843864 0.0005204461 0.00063197024 0.009786245 0.0038754647 0.0029275094 0.006013011 0.002527881 0.0009386617 0.0021282528 0.0030297397 0.0028996284 0.005120818 0.0008828996 0.00071561337 0.0039312267 0.0009107807 0.0014684015 0.0009386617 0.00214684 0.0010130112 0.0010501859 0.0010594795 0.0011152417 0.00034386618 0.0009479554 0.00065055763 0.0025464685 0.0020724908 0.00063197024 0.0012081785 0.0012825279 0.0021096654 0.00063197024 0.0007527881 0.0030576207 0.0010315985 0.00060408923 0.0005669145 0.0024070633 0.0017750929 0.00068773236 0.00048327137 0.014052045 0.0022304833 0.00085501856 0.005501859 0.006654275 0.0005018587 0.0007713755 0.00068773236 0.0035966542 0.0010501859 0.0008828996 0.0014312267 0.0021096654 0.00060408923 0.003113383 0.0022211897 0.0054368027 0.0013568773 0.00096654275 0.0012081785 0.004972119 0.002035316 0.0037267657 0.062342007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008432241 0.0001971905 0.00012676533 4.695012e-05 0.0001173753 7.98152e-05 0.00016432542 0.00012207031 2.347506e-05 6.573017e-05 7.5120195e-05 0.0 4.695012e-06 2.347506e-05 6.1035156e-05 7.5120195e-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 0.007450984 0.000107985274 0.0001173753 8.920523e-05 9.859525e-05 0.00011268029 5.6340145e-05 7.98152e-05 7.5120195e-05 5.1645133e-05 4.695012e-05 2.347506e-05 4.225511e-05 4.695012e-05 2.347506e-05 0.0011925331 0.0075542745 0.00029109075 0.00020188552 3.2865086e-05 0.00024883563 0.00016902044 0.00030987078 0.00024414062 5.6340145e-05 6.573017e-05 0.00014085036 9.390024e-06 1.4085036e-05 7.042518e-05 8.451022e-05 0.00012207031 0.024676982 0.0010047326 0.0016808143 0.00033804087 0.0016009992 0.00079345703 0.0045306864 0.002361591 0.00025353066 5.6340145e-05 0.00014554537 9.859525e-05 7.042518e-05 0.00014085036 0.00017371544 0.0005352314 0.022418682 0.0009343074 0.0019766001 0.0006338266 0.0016620343 0.0008216271 0.004211426 0.0028921275 0.0009953425 0.00016902044 0.00016902044 0.00018780048 0.00025353066 0.00018780048 0.00022536058 0.0007230319 0.030395508 0.0029672475 0.0020141602 0.0013192984 0.0028639573 0.0023944562 0.010798528 0.00589224 0.0011314979 0.00043663612 0.00045072116 0.0003192608 0.0004225511 0.0004319411 0.00028639572 0.0051832935 0.042738695 0.0053100586 0.0033381535 0.0027231069 0.003892165 0.0040611853 0.01142766 0.007122333 0.0021268404 0.000788762 0.00069486175 0.00077467697 0.0016103891 0.0014554537 0.0010047326 0.007084773 0.02336238 0.004239596 0.0032771183 0.022634653 0.0030188928 0.0024085413 0.0073993388 0.004741962 0.0025681716 0.0018639198 0.0018545297 0.0018873948 0.0018780048 0.0016150841 0.0018639198 0.0019249549 0.013366699 0.003126878 0.0019202599 0.0012817383 0.0021925706 0.0010704627 0.0019390399 0.0015164888 0.0024883563 0.0009859526 0.0005821815 0.0010986328 0.0018216646 0.00052114634 0.0010798528 0.0034696138 0.0602417 0.013502855 0.007854755 0.011103704 0.012962928 0.020043006 0.006216196 0.016559307 0.035409782 0.0044790413 0.0030470628 0.0059157154 0.01775184 0.004356971 0.013878455 0.03590745 0.06415264 0.01960637 0.010371282 0.01151217 0.0140474755 0.024695763 0.010042631 0.017718975 0.04117056 0.0051973783 0.005141038 0.0052255485 0.023902306 0.010211651 0.022911659 0.041015625 0.001577524 0.00057279144 0.0006479117 0.00087327225 0.0004929763 0.0005399264 0.0006666917 0.0005352314 0.0006338266 0.0005164513 0.00041785606 0.00036151594 0.00047419622 0.00040377103 0.00044133113 0.0004601112 551.0 13.809438 7609.0 0.027467472 0.0017085031 0.0015770798 0.0014456564 0.0081482455 0.0006571166 0.0011828098 0.005914049 0.0035484296 0.0014456564 0.0010513865 0.0006571166 0.003811276 0.0017085031 0.010382442 0.0013142332 0.018924957 0.007885399 0.008936785 0.0065711658 0.007622552 0.008016822 0.0081482455 0.008279669 0.016822184 0.013799448 0.011433829 0.008673939 0.012748062 0.013273755 0.009725325 0.004599816 0.0052569327 0.008936785 0.003811276 0.015113682 0.008542515 0.0057826256 0.006308319 0.0060454723 0.0069654356 0.0064397426 0.0011828098 0.0019713498 0.007096859 0.0052569327 0.0039426996 0.0027598897 0.012748062 0.0044683926 0.0064397426 0.013930871 0.009725325 0.0035484296 0.0047312393 0.016296491 0.006308319 0.0017085031 0.0031541595 0.0023656196 0.0043369695 0.0031541595 0.0028913128 0.009331055 0.008411092 0.040609803 0.009725325 0.033644367 0.030095939 0.06912866 0.009462479 0.007622552 0.009988172 0.029438822 0.0030227362 0.002497043 0.03679853 0.0068340125 0.02654751 0.034432907 0.015507951 0.0011828098 0.045472465 0.02615324 0.056117754 0.015770799 0.008542515 0.0035484296 0.009331055 0.009725325 0.0040741228 0.00039426994 0.0031541595 0.0009199632 0.0013142332 0.002497043 5.8860526 1.0 1.0 0.0 4.0 107600.0 135168.0 1.0 4.0 123.0 1.0 1.0 1.0 1.0 0.0 1495085700.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 62976.0 1024.0 4096.0 8.0 0.0 0.0 2.0 2.0 0.0 0.0 -512.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 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 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62976.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.536443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1040287 0.0 0.0 5.1925635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3146248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.860913 0.0 4.230767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -4740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27414.0 0.0 0.0 211.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62415.0 0.0 4960.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 97888.0 160.0 98064.0 4960.0 118784.0 0.0 0.0 2128.0 105472.0 4740.0 126976.0 84.0 95216.0 0.0 0.0 0.0 0.0 24.0 95396.0 64.0 95304.0 0.0 0.0 520.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.13886371 0.008413852 0.004080876 0.0033379067 0.006084347 0.0038493797 0.0019780188 0.0019113576 0.007685427 0.0014726059 0.0016592572 0.0014677579 0.0044590263 0.0013380715 0.0011999011 0.0037924147 0.0060092015 0.0014677579 0.0011574804 0.00087386736 0.0024094984 0.001933174 0.00074902916 0.00080599415 0.0022507235 0.0007369089 0.00081084226 0.00069448823 0.0015780517 0.0005902544 0.0005805582 0.00055268174 0.0037948387 0.0005732861 0.0006375232 0.00053086533 0.0040626954 0.0012883786 0.000454508 0.0005490457 0.0011574804 0.00063873525 0.00057086203 0.00092234823 0.001081123 0.0022907204 0.00066176365 0.0005066249 0.008869572 0.0031076227 0.006415229 0.010338542 0.0065667313 0.0023525334 0.0061170715 0.002048316 0.0070806285 0.0023682897 0.0006993363 0.0014507895 0.0016313806 0.0009550728 0.00045572 0.0005175331 0.01152511 0.0038457436 0.0047983923 0.008641712 0.0037875667 0.03187616 0.0031997364 0.0026519026 0.0033124543 0.003473653 0.0021428536 0.0023052646 0.0026531147 0.0042954036 0.001135664 0.0014992703 0.008869572 0.0020992209 0.0020131674 0.00955194 0.003137923 0.013547975 0.0031548915 0.002051952 0.0018859052 0.006377656 0.0026846272 0.003191252 0.001533207 0.004540232 0.002328293 0.0035294062 0.0056443834 0.00455114 0.0020628602 0.0034166882 0.009491339 0.006239486 0.00422147 0.0017162221 0.008153267 0.004379033 0.0039342213 0.0015598715 0.0038493797 0.0019113576 0.0046384055 0.004168141 0.0036178837 0.001878633 0.005129274 0.004000882 0.010434291 0.005668624 0.0020701324 0.0013004988 0.0031948881 0.0012374738 0.00051995716 0.00057813415 0.0016192605 0.0024664635 0.0010411263 0.0008568991 0.005136546 0.001134452 0.0010665788 0.008878056 0.0030579297 0.0031609517 0.0010132499 0.00060601067 0.00260827 0.014878774 0.0021876984 0.05067219 0.0011720246 0.010776081 0.0008399308 0.0006666117 0.0026022098 0.00043511565 0.0007126685 0.00063267513 0.0011005154 0.0009175001 0.0014810901 0.0005563178 0.0011502082 0.00057692215 0.00048965664 0.0006981243 0.00093689247 0.0004666282 0.00045572 0.00041087522 0.0008787155 0.0032615494 0.00045693203 0.0024991878 0.0013950366 0.0008011461 0.00055268174 0.0004435998 0.00102537 0.00044844788 0.00049935275 0.0004775364 0.0008302346 0.00044117577 0.0007272128 0.00064479536 0.0012980748 0.0006714598 0.0016956178 0.0005260173 0.00086053513 0.00065691554 0.0006981243 0.0015477512 0.0030870184 0.0024834317 0.0045572002 0.0008072062 0.0009805253 0.00047026426 0.0008362947 0.0007005483 0.011755395 0.0011259678 0.0022410273 0.010140982 0.004269951 0.0010374902 0.0034857732 0.003300334 0.0018325762 0.0017295544 0.00096355693 0.0012762585 0.001648349 0.00087507936 0.0009720411 0.00092356023 0.0028167376 0.0011271798 0.0029149114 0.0013259513 0.0017768232 0.0007526652 0.0015719916 0.0008581111 0.003300334 0.00064115925 0.0010641547 0.0017513708 0.0014665457 0.0007041844 0.0005514697 0.0008253865 0.002390106 0.00064479536 0.00086053513 0.00097082905 0.0023840459 0.002382834 0.0005393495 0.00067994394 0.02705474 0.005904968 0.0010714268 0.005781342 0.0064018965 0.001021734 0.0006666117 0.000739333 0.007097597 0.0009574968 0.0017804593 0.0009005318 0.008954413 0.0021270975 0.0040142145 0.0025416086 0.009865854 0.0029924805 0.003011873 0.0035403143 0.014590313 0.003916041 0.00421541 0.06755201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0088989865 0.0 0.0 0.0013828563 0.0009121871 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010896445 0.0 0.0 0.0024444428 0.0015844848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009347793 0.0 0.0 0.00403743 0.0027839318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027250224 0.0 0.0 0.00207641 0.0014174732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000539903 3.6438898e-06 1.7612134e-05 6.559002e-05 0.00014575559 7.409243e-05 6.07315e-06 7.2877797e-06 1.5182874e-05 0.0 0.0 1.8219449e-06 7.895095e-06 3.036575e-06 4.85852e-06 0.00035102805 0.0059705134 0.00020162857 0.00020891636 0.0005392957 0.0018711375 0.0004779569 0.002396465 0.0010427599 0.00019069691 9.8385026e-05 9.0489935e-05 7.348511e-05 0.0006577221 0.0003722841 0.00039232548 0.0028288732 0.013046948 0.0006279637 0.00092615536 0.0020381492 0.004043503 0.003533966 0.006821969 0.0031428551 0.00044455458 0.0002307797 0.0003042648 0.00032369889 0.0020393638 0.001081628 0.0010986328 0.0088030305 0.0203408 0.0012759687 0.0012079495 0.0020351126 0.0071651023 0.002508211 0.0065529286 0.003189011 0.0023424139 0.0009546992 0.0009565211 0.0013081565 0.003974269 0.002595057 0.0026187422 0.009383016 0.019806972 0.0015298264 0.0012255616 0.002220951 0.009233617 0.0039609084 0.005764634 0.003337803 0.0056923633 0.0013846782 0.0017423867 0.0022579972 0.0037835725 0.0017363136 0.003962123 0.009474721 0.07253102 0.0096204765 0.0071347365 0.009879193 0.04121968 0.029990429 0.020877667 0.013673089 0.050443582 0.0051852553 0.0059340745 0.008959718 0.016451556 0.006931893 0.026891908 0.059847854 0.059052274 0.00992717 0.008936033 0.01143817 0.027557526 0.029994072 0.017317588 0.014318058 0.048823874 0.0057676705 0.006353122 0.008967613 0.020677254 0.010719109 0.024581682 0.047558837 0.00022895775 4.6763253e-05 8.441678e-05 5.101446e-05 8.866799e-05 9.71704e-05 4.251205e-05 6.437539e-05 0.00013178735 2.8543804e-05 3.279501e-05 2.8543804e-05 8.259484e-05 5.8909554e-05 7.166317e-05 0.00010506549 5347.0 19.63643 104996.0 0.0044573126 0.000104765895 0.00045716026 7.619338e-05 0.0027429617 0.00046668443 0.000104765895 0.00014286258 0.00032382185 0.00033334602 0.00060002285 0.00047620863 0.0004095394 0.011667111 0.0009238447 0.0003809669 0.046420816 0.017353041 0.046516057 0.013362414 0.04316355 0.015143434 0.044887424 0.012648101 0.04600175 0.014848185 0.0006762162 0.00041906358 0.00078098214 0.00043811192 9.5241725e-05 0.000114290066 0.0011143282 0.0069812182 0.0060573737 0.011876643 0.005838318 0.013200503 0.003866814 0.0025143814 0.004028725 0.014400548 0.0020096004 0.003266791 0.005581165 0.005457351 0.0036287096 0.0075431443 0.010562307 0.0021429388 0.0048954245 0.01675302 0.010695646 0.0051240046 0.0048287553 0.0028572518 0.0022762772 0.0043811193 0.0012476665 0.0024477122 0.00095241726 0.0022858013 0.002381043 0.018162597 0.00020953179 0.026781972 0.013200503 0.023553278 0.024400929 0.044839803 0.012009981 0.009733704 0.01874357 0.02997257 0.008390795 0.0070383633 0.02266753 0.01116233 0.03304888 0.029363023 0.019172158 0.0037810963 0.033953674 0.024896186 0.03702998 0.010657549 0.011038516 0.0063145263 0.014419597 0.005466875 0.0008571755 0.00023810432 0.0004476361 0.00020953179 0.0002476285 0.00025715266 5.658725 0.0 2.0 14.0 4.0 825068.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.608531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23664139 0.011314384 0.0056604263 0.004350442 0.007986053 0.003098679 0.003483588 0.0025035257 0.0075623295 0.0025940924 0.0026458448 0.0014717109 0.004424836 0.002005408 0.0012258866 0.0036744252 0.0041466663 0.0018178055 0.00202805 0.0012841081 0.002005408 0.0040690377 0.0007180655 0.0005854498 0.0017822256 0.00087008835 0.0006857202 0.00082480494 0.0013552677 0.0007730525 0.0008603848 0.00056280807 0.029899988 0.0007536453 0.0009444825 0.000831274 0.0038523243 0.0015364013 0.0007277691 0.0014167238 0.0014070203 0.00078922516 0.0015655122 0.0010253458 0.0017207696 0.0019051377 0.0038523243 0.0015816848 0.005476058 0.0033606759 0.0028949038 0.0050329277 0.0027849297 0.013238928 0.0023450337 0.0018792615 0.0025649816 0.0028463858 0.0017207696 0.003874966 0.0020151117 0.0025940924 0.0014781798 0.0020992095 0.0075623295 0.004175777 0.001759584 0.0035126987 0.005311097 0.008678242 0.0029434217 0.0018081019 0.0021477274 0.0030113468 0.00053046277 0.0010188767 0.0032701092 0.00460597 0.0024226625 0.0024614767 0.009541862 0.0028528548 0.0032830471 0.0063235047 0.004198419 0.0044636503 0.0047968067 0.0049908785 0.0013617368 0.0014134892 0.00052399375 0.0014523036 0.0012420593 0.00237091 0.0022965157 0.0022641704 0.0011644305 0.014367779 0.003710005 0.007255049 0.0072453455 0.024543608 0.005288455 0.0032959853 0.009700353 0.01374675 0.0033153924 0.0023676753 0.010987696 0.0056442535 0.01212625 0.01669017 0.0058642016 0.0005207592 0.0140022775 0.010589849 0.02376732 0.012239459 0.003483588 0.002975767 0.0022382943 0.0037197086 0.0005531045 0.0005789807 0.0019665938 0.0021315548 0.0008991991 0.0004204888 0.0035094642 0.0025294018 0.000879792 0.0050749765 0.0016010919 0.0069995215 0.0007051274 0.0004204888 0.0013423297 0.0053143315 0.0005078211 0.015991513 0.0015428704 0.0074944044 0.00029110763 0.00046900674 0.003952595 0.00059515337 0.0010221113 0.0022350596 0.008497109 0.003952595 0.0003655018 0.0003525637 0.00080216327 0.0018145709 0.00039137804 0.00029434217 0.00075687986 0.0006404368 0.00031698387 0.00030728028 0.0010997399 0.00096065516 0.0004625377 0.0006954238 0.0009574207 0.0008506812 0.0003978471 0.00034609463 0.0009444825 0.00039461258 0.00042372334 0.0004884139 0.0009703588 0.00028463858 0.00030728028 0.00026523139 0.0016334372 0.00045606864 0.00036873634 0.00024905876 0.0011029745 0.0012873426 0.00034609463 0.0005401664 0.0019665938 0.00045606864 0.00054986996 0.00047871034 0.0011773687 0.0007730525 0.00072453456 0.0010091731 0.0051849503 0.0010124077 0.002445304 0.0021833072 0.0018048673 0.0005078211 0.0013973166 0.002590858 0.0012517628 0.0014587727 0.00044959955 0.00040108163 0.0035094642 0.000501352 0.00061456056 0.00042695785 0.0010803328 0.00043666144 0.00051752466 0.00063720223 0.000886261 0.00028463858 0.001167665 0.000831274 0.0014134892 0.0004431305 0.00041401974 0.00076011434 0.0011806032 0.00028463858 0.0005142902 0.0010641601 0.0012938117 0.00025229328 0.00028787312 0.00033639104 0.0012614664 0.0004301924 0.0003752054 0.00038167444 0.007255049 0.0014264274 0.0003978471 0.0021865417 0.0033639104 0.00040431615 0.00032345293 0.0011870723 0.0025229328 0.00088949554 0.0004431305 0.0006307332 0.001552574 0.0006436713 0.0015558086 0.0013552677 0.003325096 0.00088302646 0.0005078211 0.0016787207 0.004334269 0.0026264377 0.0016593134 0.041608986 0.03993978 1.7903645e-05 4.8828124e-06 1.6276042e-06 9.765625e-06 3.2552084e-06 8.138021e-06 9.765625e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.6276042e-06 3.2552084e-06 0.009653321 5.045573e-05 3.4179688e-05 1.4648437e-05 6.510417e-05 4.2317708e-05 1.6276043e-05 1.3020834e-05 6.184896e-05 6.510417e-06 8.138021e-06 6.510417e-06 6.510417e-06 6.510417e-06 1.1393229e-05 3.2552084e-06 0.009187826 0.00011393229 6.673177e-05 8.138021e-05 6.673177e-05 4.2317708e-05 0.00011393229 6.0221355e-05 0.00010253906 1.953125e-05 2.6041667e-05 2.1158854e-05 2.2786458e-05 1.7903645e-05 3.7434897e-05 1.953125e-05 0.0057324218 1.953125e-05 5.045573e-05 0.0002750651 0.00014485676 3.580729e-05 5.6966146e-05 7.324219e-05 5.3710937e-05 1.4648437e-05 1.3020834e-05 7.97526e-05 6.510417e-06 5.045573e-05 5.6966146e-05 3.2552084e-06 0.004934896 8.138021e-05 0.0002636719 0.00013183594 0.0052278647 0.0024186198 0.00012044271 7.486979e-05 5.045573e-05 3.2552084e-06 4.8828124e-06 3.2552084e-06 3.2552084e-06 3.2552084e-06 9.765625e-06 1.6276042e-06 0.0055289716 6.998698e-05 0.00017903646 7.324219e-05 0.0022444662 0.0009700521 0.00034505207 0.00019856771 8.4635416e-05 1.1393229e-05 1.6276042e-06 4.8828124e-06 0.00010904948 4.3945314e-05 4.3945314e-05 9.1145834e-05 0.012410481 0.00028808592 0.015377604 0.0012141927 0.0018896484 0.001508789 0.04578288 0.020667318 0.00020833334 0.00010091146 9.9283854e-05 8.626302e-05 8.626302e-05 6.0221355e-05 0.00012369792 9.602865e-05 0.009978841 0.00013671875 0.006389974 0.00052246096 0.0010742188 0.000773112 0.018085938 0.00934082 7.324219e-05 7.97526e-05 3.7434897e-05 3.90625e-05 2.9296874e-05 3.2552085e-05 2.6041667e-05 4.720052e-05 0.03505534 0.0008658854 0.0053564454 0.00245931 0.0023974609 0.0029052733 0.016241862 0.008393555 0.0010921224 0.0008723958 0.00018880208 0.0005501302 0.00052408857 0.00024902343 0.00029947917 0.002548828 0.030683594 0.000851237 0.0049283854 0.003400065 0.0036051432 0.0023649088 0.016697591 0.008631185 0.0008854167 0.0010758464 0.00072265626 0.0004264323 0.00048339844 0.00032552084 0.0005110677 0.0010742188 0.028922526 0.0008186849 0.0032486978 0.005517578 0.0068196612 0.004436849 0.010323893 0.006090495 0.0006705729 0.0043733725 0.00070800784 0.0009326172 0.0005533854 0.00060709636 0.00044596355 0.0021972656 0.022190755 0.0019433594 0.0036149088 0.014759115 0.006969401 0.0041927085 0.01105306 0.006422526 0.0021858723 0.0024316406 0.0016682943 0.0011132812 0.0017529296 0.001126302 0.0012125651 0.004029948 0.0147347 0.001944987 0.0043587238 0.005673828 0.0046451823 0.0025716147 0.006953125 0.003841146 0.0025146485 0.0053759767 0.00044759116 0.0005338542 0.0006689453 0.0005029297 0.0006770833 0.0012223307 0.02291504 0.0045442707 0.0026139324 0.0053889975 0.005966797 0.009179687 0.004314779 0.006308594 0.012677409 0.0029248046 0.0011474609 0.0021614584 0.006171875 0.0021044922 0.0049365233 0.01664388 0.044913735 0.011980794 0.0065657552 0.015984701 0.013873698 0.021645509 0.010851237 0.0152978515 0.03375163 0.008733724 0.0043603517 0.0068652346 0.0150830075 0.0065071615 0.01253418 0.0377181 0.0015201822 0.0006640625 0.00079915364 0.0009960937 0.00044433595 0.000538737 0.001233724 0.00092610676 0.00048502604 0.00034993488 0.00041503907 0.00030761719 0.00033040365 0.00029296876 0.0003092448 0.0003873698 1525.0 51.780983 78966.0 0.10020769 0.00086113013 0.001063749 0.0011270674 0.0015956234 0.0005825292 0.0007978117 0.0016969328 0.0015702961 0.0013550136 0.00032925562 0.00048121976 0.003343211 0.002950637 0.011093382 0.0018615606 0.010016969 0.007484234 0.006686422 0.0049641617 0.0046222424 0.0040650405 0.0035584935 0.0030899374 0.0035205025 0.0040270495 0.002596054 0.0018742244 0.002317453 0.0024947445 0.0013423499 0.0035458298 0.006255857 0.011815212 0.0029759645 0.01015627 0.011004737 0.010320897 0.003938404 0.0042676595 0.0025327357 0.008345364 0.0004558924 0.0012157131 0.0076108705 0.0070156776 0.0053440724 0.006483803 0.00919383 0.00086113013 0.005470709 0.013765418 0.011802548 0.003381202 0.004039713 0.00588861 0.0024314262 0.0019502065 0.00067117496 0.0004558924 0.00089912117 0.0005192108 0.000354583 0.0016589419 0.0006838386 0.046665654 0.012131804 0.023060558 0.021984145 0.08150343 0.012296432 0.009586404 0.021110352 0.04517134 0.0012157131 0.0053187446 0.035268344 0.017551858 0.039991897 0.054719754 0.014132665 0.0005951929 0.045335967 0.033318136 0.064420134 0.016956665 0.00919383 0.0078514805 0.0046855607 0.011802548 0.0005825292 0.00048121976 0.001063749 0.0005951929 0.00030392827 0.00021528253 5.375468 0.0 15.0 0.0 5.0 309164.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.2186861 0.03055443 0.043248273 0.014793812 0.028215773 0.010244281 0.02756963 0.010056225 0.011423253 0.0078212395 0.014545481 0.0071509858 0.0043711183 0.0034236007 0.004580874 0.0016177718 0.004604984 0.0075608534 0.007876692 0.0048412606 0.001960132 0.0043566525 0.0045133666 0.0037731936 0.0034911083 0.0016828685 0.002092736 0.0020107627 0.0015285654 0.0022783822 0.003020966 0.0048364387 0.0076283608 0.001772075 0.0023362457 0.0015647302 0.0010873548 0.0025869885 0.0023121359 0.001593662 0.01728195 0.00158884 0.008737415 0.0023772325 0.0032427767 0.0032331327 0.0024399182 0.0017431432 0.005786367 0.002825676 0.003879277 0.0049810978 0.0018998573 0.0021988195 0.002678606 0.0015767851 0.0018612815 0.0020011186 0.0012561239 0.0011428075 0.0027051268 0.0012223701 0.002502604 0.001072889 0.0016973345 0.0031704472 0.0027581684 0.0037418508 0.0024423292 0.0029775682 0.0031270494 0.0015357983 0.0018034178 0.0021747097 0.0010969988 0.0016491147 0.001981831 0.0023483008 0.002092736 0.0017093894 0.0020493385 0.0016153608 0.0026207422 0.0041927053 0.0029534583 0.0029148825 0.0016708135 0.0012898777 0.0034356555 0.001600895 0.0013405085 0.0009619836 0.001234425 0.00074981677 0.0007908035 0.007905625 0.0023531227 0.011191798 0.002627975 0.0055500907 0.006492786 0.018169193 0.0023772325 0.0041348417 0.0036381783 0.010379297 0.0013525634 0.002647263 0.0055669677 0.00371533 0.009598137 0.014408055 0.005665818 0.0021361338 0.008913416 0.011768024 0.0121489605 0.00564653 0.0022108746 0.0013115766 0.0017817189 0.002803977 0.0026110983 0.010957933 0.0012175482 0.0046628476 0.0033030515 0.0011331636 0.00525595 0.003681576 0.0017937738 0.0023892876 0.0016876905 0.00090894185 0.0039998265 0.0009571616 0.0011717394 0.00084866723 0.00071606296 0.00088001 0.0010969988 0.0017045673 0.0019022683 0.0006726652 0.00080285844 0.0015864291 0.0006340894 0.00066061027 0.002842553 0.002295259 0.0010391352 0.0006003356 0.0014056051 0.00070883 0.0008076804 0.0041396637 0.0009017089 0.0009185858 0.0017576091 0.0013405085 0.0016756356 0.0008317903 0.0010174363 0.00089929794 0.00077151565 0.0026038652 0.0005497049 0.0005569378 0.000706419 0.00062685646 0.0006678432 0.0009234078 0.001053601 0.0008631331 0.0006292674 0.00068230915 0.00069918606 0.00082214636 0.0006123905 0.00068713113 0.0007811596 0.00074981677 0.0007449948 0.0013501524 0.0013814952 0.0013284535 0.0017383212 0.001608128 0.0007281179 0.00078839256 0.0006389114 0.000706419 0.0010102033 0.0009185858 0.00093064073 0.0010367242 0.0018685145 0.0006943641 0.0015743742 0.00071365194 0.0008510782 0.0010222582 0.0008342013 0.000889654 0.0008510782 0.0011018207 0.0041420744 0.0006726652 0.0011693283 0.0010102033 0.0027051268 0.00059792463 0.0009234078 0.00064373336 0.0008149134 0.00067025423 0.00075946073 0.000701597 0.00090894185 0.0005111291 0.0011162867 0.0010102033 0.0013742623 0.0013139875 0.001236836 0.001053601 0.00064373336 0.00064855535 0.00073293986 0.0008076804 0.00094269565 0.00069677504 0.00066543225 0.0007908035 0.00066061027 0.00071365194 0.0012585348 0.0006003356 0.0006413224 0.0006750762 0.0007642827 0.00059310265 0.0005472939 0.00060997956 0.00077151565 0.00055452687 0.00057140377 0.0008462562 0.00073776185 0.0006172125 0.00066302123 0.0008293793 0.0007425838 0.0009740385 0.0018347607 0.0017407321 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019132406 7.251702e-06 8.943766e-05 5.559638e-05 6.0430848e-05 4.834468e-05 0.00021029935 7.3725634e-05 3.625851e-06 0.0 1.2086169e-06 3.625851e-06 0.0 0.0 4.8344677e-06 3.625851e-06 0.00020183904 0.0 1.0877553e-05 0.0 0.00036862819 0.00036621094 0.0030275856 0.0009753539 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02391853 0.001416499 0.0021440864 0.0026359935 0.009435672 0.008103777 0.05340153 0.025697613 0.0005317915 0.0001353651 0.00019579595 0.00014140818 0.0002211769 0.00063814974 2.9006807e-05 6.6473935e-05 0.1503459 0.011719959 0.017408919 0.0068528582 0.0062775565 0.005520962 0.016970191 0.020059416 0.0033200707 0.004143139 0.002274617 0.0034143429 0.0025320526 0.003483234 0.0012134514 0.0018890683 0.110642835 0.020762831 0.017352114 0.008732257 0.005392849 0.0062425067 0.012857268 0.016077023 0.0069713024 0.003520701 0.0018661045 0.0021634244 0.0012859685 0.0023459254 0.0016207553 0.0024631612 0.059321336 0.013098991 0.009681022 0.003590801 0.0020558573 0.0038627398 0.0051885927 0.005483495 0.0045734067 0.0052490234 0.0018358892 0.0011723584 0.0037660503 0.0010623743 0.0019966352 0.001823803 0.05715187 0.00534813 0.006550704 0.007499468 0.005557221 0.004419912 0.004749865 0.0034759825 0.0067694634 0.003382919 0.0029985786 0.0026081954 0.0051414566 0.003208878 0.0026396194 0.0022601136 0.01856919 0.0021827621 0.0019349958 0.001684812 0.0016255898 0.0031496559 0.0020486058 0.0014938506 0.0018902769 0.002092116 0.0013838664 0.001565159 0.0019772972 0.0013258528 0.00093184365 0.0006985806 0.007730314 0.0016413018 0.0018225943 0.0043244315 0.001385075 0.0019482905 0.0010249072 0.0008254854 0.001580871 0.00053420867 0.0009789797 0.0007505511 0.000728796 0.0006272722 0.0007964786 0.0005281656 0.0032197556 0.0010164469 0.0010865467 0.0010236986 0.0010031521 0.0006586962 0.0013536509 0.0009838142 0.00088591623 0.0004906985 0.00055112934 0.0004919071 0.0005197053 0.00054750347 0.00047861232 0.0005402518 0.005320332 0.003240302 0.003369624 0.0031593246 0.003136361 0.0030106648 0.0034868598 0.0032028349 0.0031146058 0.0028982635 0.0029514425 0.0030493406 0.0029502339 0.0029768236 0.003038463 0.0030747214 3338.0 16.611744 55450.0 0.0022903518 0.0007935077 0.00043282236 0.0005770965 0.0005770965 0.00050495943 0.0006853021 0.00043282236 0.00043282236 0.00046889088 0.00037871956 0.0003606853 0.00048692516 0.00061316503 0.005247971 0.0011000902 0.008331831 0.007935077 0.006618575 0.0048692515 0.0045807036 0.003751127 0.0043823263 0.0031199278 0.0025608656 0.0042560864 0.0006853021 0.00061316503 0.009053201 0.00055906223 0.009017132 0.0004147881 0.00023444544 0.011577998 0.010351668 0.017385032 0.009395852 0.0111632105 0.010748422 0.0032100992 0.0049233544 0.008800722 0.00025247972 0.0034625789 0.0042019836 0.0060775476 0.005716862 0.0055365195 0.0062218215 0.0007935077 0.0123534715 0.019332733 0.0068349866 0.0035347159 0.002182146 0.0025428315 0.0012263301 0.00045085663 0.00061316503 0.00021641118 0.00043282236 0.00014427412 0.00025247972 0.04286745 0.0007935077 0.0477367 0.008151487 0.030207394 0.028349865 0.11186655 0.0075202887 0.022741208 0.014174933 0.052461676 0.0006853021 0.012028855 0.029900812 0.015906222 0.051866546 0.04110009 0.016212804 0.0037871958 0.039386835 0.0471055 0.068223625 0.01826871 0.007880974 0.0038232643 0.0056086564 0.011577998 0.0020018034 0.00043282236 0.00018034266 0.00014427412 0.0004147881 0.00028854824 5.313346 0.0 14.0 0.0 1.0 414768.0 434176.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1470165100.0 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 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 -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 48.0 0.0 4.0 0.0 4.0 0.0 405504.0 512.0 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 -405504.0 0.0 1536.0 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 -6.2804217 0.0 3.3066504 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 -405252.0 0.0 1112.0 0.0 0.0 0.0 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 389420.0 1112.0 417792.0 0.0 0.0 6704.0 408064.0 12.0 425984.0 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