Input: 0.08389472 0.0038152146 0.0029034803 0.0028579626 0.0037807315 0.0027227886 0.0027820996 0.004140735 0.004281427 0.0027338234 0.0026400292 0.0026000286 0.003775214 0.003673144 0.003411072 0.003957285 0.003897974 0.0025200278 0.002304853 0.0025034759 0.003202794 0.0026620983 0.0043697036 0.0035393494 0.003664868 0.002376578 0.0023669226 0.0025393383 0.0033945201 0.0024110612 0.0035559013 0.0023545087 0.004856605 0.0025227864 0.0025365797 0.0024924413 0.007107665 0.0023903712 0.0024041645 0.0024814068 0.0032634842 0.0035572806 0.0023531294 0.0024220957 0.0031255516 0.0026027875 0.0024414062 0.0023751985 0.0061862753 0.0051614363 0.0053421278 0.0055145435 0.005830409 0.0052124714 0.0049793655 0.004936606 0.0057848915 0.005187643 0.004926951 0.0052676443 0.005809719 0.0050262623 0.0068869726 0.0049283304 0.004627637 0.0030400336 0.0024055438 0.0026910643 0.004537981 0.0035076248 0.0029283082 0.04108183 0.0033158986 0.0026883055 0.0032165872 0.0025586488 0.0049324683 0.0029172737 0.00245382 0.002456579 0.003928319 0.003566936 0.0035131422 0.0030772754 0.0058152364 0.0028372726 0.0031848627 0.0029669292 0.0043503926 0.0041710804 0.0036000398 0.0026317532 0.003266243 0.0030483096 0.0026841676 0.0026496844 0.0033421058 0.0029255496 0.0024758894 0.002652443 0.004544878 0.0032248632 0.0028055483 0.0024248543 0.0033986582 0.003020723 0.003749007 0.0032855535 0.003566936 0.0034634864 0.0028441693 0.002973826 0.0035352113 0.0024414062 0.002935205 0.0028358933 0.0049669514 0.0040993555 0.0028193414 0.0024248543 0.0032938295 0.0027076162 0.0036800406 0.0022676112 0.0042221155 0.0026110632 0.0024855447 0.0033476232 0.003571074 0.0030138264 0.002588994 0.0050455728 0.0051200567 0.0033407265 0.0026331325 0.0025338212 0.0036593508 0.0054648877 0.0029283082 0.0066580046 0.0035917638 0.003249691 0.002521407 0.002462096 0.0040593552 0.0023751985 0.0023876126 0.002440027 0.003525556 0.0025241657 0.002364164 0.0024345096 0.0031021032 0.003525556 0.0034124514 0.0034634864 0.0041710804 0.0025324416 0.002313129 0.0022620938 0.0033338298 0.0025572695 0.003368313 0.0025117518 0.0032014146 0.002529683 0.003511763 0.0023903712 0.0033945201 0.0023834745 0.0023241637 0.0024469236 0.0034290033 0.0025007173 0.0023296808 0.0024441648 0.0031021032 0.002507614 0.003520039 0.0023917505 0.0032565875 0.0028083068 0.005528337 0.00830354 0.013012557 0.011293918 0.0092180325 0.007376633 0.0033283127 0.0027683063 0.0024289924 0.0024124405 0.0050014346 0.002973826 0.002482786 0.004343496 0.0045807404 0.0034565898 0.0026179599 0.00427453 0.0032000353 0.0025917527 0.0023903712 0.0025227864 0.0035352113 0.0026000286 0.0027131333 0.0025655455 0.003402796 0.0027214093 0.0026745123 0.0028372726 0.0043062544 0.0024510615 0.002660719 0.0023820952 0.0040814243 0.0025448557 0.0033669337 0.00251589 0.0033393472 0.002486924 0.0025089933 0.002376578 0.0032883121 0.0024676134 0.0025641662 0.0025434764 0.0035269354 0.0026800295 0.0025572695 0.004360048 0.0048717777 0.0029393428 0.0033738303 0.0029172737 0.0034096928 0.0024524408 0.0034069342 0.0023531294 0.0034372793 0.0025710629 0.0036441782 0.0027048574 0.0032041732 0.0022993358 0.0027227886 0.0029131356 0.003779352 0.0027145126 0.002766927 0.0025476143 0.0036386608 0.0029641706 0.0036193503 0.009491139 0.0070362226 2.762553e-06 6.906383e-07 2.0719149e-06 2.762553e-06 1.3812765e-06 1.3812765e-06 1.3812765e-06 0.0 2.0719149e-06 0.0 1.3812765e-06 0.0 2.0719149e-06 0.0 1.7956594e-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 0.002587131 7.597021e-06 1.5194042e-05 6.353872e-05 1.9337871e-05 1.0359574e-05 7.113574e-05 3.107872e-05 2.762553e-06 2.762553e-06 3.4531913e-06 3.4531913e-06 2.762553e-06 2.762553e-06 2.762553e-06 2.762553e-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 0.0035139674 5.8013615e-05 4.420085e-05 1.1740851e-05 9.668936e-05 4.281957e-05 0.00018716296 0.00010152382 1.8647233e-05 1.1050212e-05 1.2431488e-05 2.417234e-05 5.179787e-05 3.3150638e-05 1.3812765e-05 2.2100425e-05 0.0022556246 5.3869786e-05 5.3869786e-05 1.3812765e-05 6.353872e-05 2.3481702e-05 5.59417e-05 6.14668e-05 6.9063826e-05 1.7956594e-05 1.2431488e-05 1.7265957e-05 2.762553e-05 7.597021e-06 8.978297e-06 8.632978e-05 0.0010822301 8.2876595e-06 1.8647233e-05 6.215744e-06 9.945191e-05 2.6244254e-05 4.8344677e-06 1.1050212e-05 6.9063826e-06 8.978297e-06 1.2431488e-05 6.9063826e-06 3.936638e-05 4.6963403e-05 4.1438298e-06 3.176936e-05 0.0019717722 2.8316168e-05 5.8704252e-05 2.3481702e-05 0.00015263105 5.3179145e-05 0.00012776807 9.392681e-05 6.975447e-05 1.9337871e-05 2.3481702e-05 9.6689355e-06 4.9035316e-05 4.765404e-05 8.978297e-06 9.116425e-05 0.0016402659 3.2459997e-05 3.591319e-05 0.0003681102 0.00017887531 4.6272762e-05 4.074766e-05 4.2128933e-05 3.2459997e-05 4.5582125e-05 3.4531913e-05 0.00018094723 4.4891487e-05 3.522255e-05 4.2128933e-05 2.8316168e-05 0.0026437633 9.461744e-05 0.00028937744 0.00052833825 0.0004530587 0.0002783272 0.0014496497 0.00077351485 0.00016160935 4.6963403e-05 5.3179145e-05 5.0416595e-05 7.597021e-05 5.3869786e-05 5.8013615e-05 6.14668e-05 0.0047377786 0.00020511956 0.000574611 0.00025001104 0.00063814974 0.0003625851 0.0017189987 0.00095377146 0.00038952 0.00012224297 0.000105667656 0.0002527736 0.0001533217 0.00022791063 0.00023619829 0.00038675743 0.0040195147 0.0025353332 0.0025484553 0.042603403 0.0026506695 0.0025988717 0.0030491678 0.002812279 0.002565721 0.0025360237 0.002552599 0.0025339518 0.002554671 0.0026886547 0.0025940372 0.0026078501 0.0444702 0.0050299186 0.0031209942 0.0030519306 0.042066086 0.007971346 0.005168737 0.004226706 0.0035554057 0.005958136 0.00311616 0.04101079 0.0060665663 0.00410101 0.0051611396 0.004043687 0.008139863 0.0010311229 0.0030602182 0.001206545 0.00273769 0.0020063042 0.00080044975 0.0015387421 0.006030653 0.0007327672 0.00047999359 0.000696854 0.0020594832 0.0007728242 0.0017535306 0.0037280654 0.009593656 0.0018550544 0.0025215202 0.0026893453 0.0035705997 0.004072003 0.0015124978 0.0032736254 0.0065755667 0.00066094083 0.0009655123 0.0009779438 0.0032832944 0.0013239535 0.0030408802 0.006417411 0.039241374 0.036775798 0.036643196 0.036279917 0.03673367 0.037869077 0.03655479 0.036810327 0.038983077 0.036791682 0.037345573 0.03760249 0.0374837 0.03735524 0.03685315 0.037565198 2986.0 13.306765 39734.0 0.02061207 0.003674435 0.0027432425 0.0034479287 0.015226254 0.003397594 0.0029697488 0.0033724266 0.014748075 0.002919414 0.0033472592 0.0026677405 0.0143957315 0.003749937 0.0035234308 0.0032717572 0.03359843 0.021014748 0.021618765 0.022298284 0.034227613 0.023028137 0.02232345 0.021392258 0.032491066 0.021417426 0.021065082 0.02098958 0.032616902 0.020561736 0.020687573 0.021266421 0.014370564 0.0043287864 0.002919414 0.005108975 0.016006444 0.0046811295 0.0046559623 0.0053606485 0.014873912 0.004228117 0.004228117 0.0033472592 0.0150752505 0.0037247697 0.0035234308 0.0031710877 0.01766749 0.003120753 0.0044042887 0.009764937 0.015201087 0.003045251 0.006518347 0.0060653347 0.015276589 0.0039009412 0.003120753 0.003196255 0.014471234 0.002919414 0.003196255 0.0024412342 0.014899079 0.009236422 0.0035989329 0.006946192 0.018120501 0.01698797 0.0043036193 0.004177782 0.01603161 0.010343786 0.0031459203 0.003120753 0.019152364 0.005259979 0.009915941 0.010645795 0.017189309 0.0033724266 0.010721297 0.007952887 0.02491569 0.0070216944 0.0038757739 0.0036241002 0.014521568 0.0041274475 0.0031710877 0.0025419036 0.013867217 0.0027935773 0.0029445814 0.0028942467 6.146783 0.0 0.0 0.0 13.0 724992.0 737280.0 0.0 0.0 161.0 1.0 1.0 0.0 0.0 0.0 1047117300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 5.0 0.0 225280.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 442368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9920783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9867435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.868755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.687523 0.0 3.4943993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 439978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -151176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73173.0 0.0 1496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -2.0 -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 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 513444.0 1496.0 671744.0 0.0 0.0 0.0 0.0 59548.0 675840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.24534607 0.015411377 0.004257202 0.0045776367 0.003982544 0.008575439 0.0027770996 0.0030059814 0.0069122314 0.0016479492 0.002532959 0.0019073486 0.0021514893 0.003479004 0.0016021729 0.007537842 0.008422852 0.0011138916 0.0012817383 0.0013122559 0.0021820068 0.0068969727 0.0014953613 0.00079345703 0.004547119 0.0018920898 0.0007019043 0.0019073486 0.0019683838 0.0010681152 0.00064086914 0.00090026855 0.010192871 0.00064086914 0.0011444092 0.0008392334 0.014450073 0.0014343262 0.00035095215 0.00035095215 0.003112793 0.00050354004 0.00048828125 0.0010681152 0.00093078613 0.00062561035 0.0017089844 0.0007019043 0.0054779053 0.0008544922 0.0014648438 0.0056915283 0.0023651123 0.0006866455 0.0005645752 0.00032043457 0.003189087 0.0020446777 0.0004272461 0.00390625 0.001083374 0.0012054443 0.0007324219 0.0005645752 0.0067596436 0.012298584 0.0016021729 0.0027618408 0.008483887 0.0059661865 0.0019378662 0.002090454 0.05722046 0.010375977 0.00077819824 0.0013122559 0.0098724365 0.004623413 0.0017089844 0.001739502 0.0039520264 0.0008392334 0.0015411377 0.0016784668 0.002960205 0.0018310547 0.001739502 0.0048675537 0.0020141602 0.0004272461 0.000579834 0.0013580322 0.0042877197 0.0010528564 0.0013580322 0.0028686523 0.0023651123 0.0036468506 0.001083374 0.0030059814 0.0036773682 0.0074310303 0.0023956299 0.0013275146 0.001663208 0.0045166016 0.00030517578 0.0013580322 0.004333496 0.001663208 0.004043579 0.0029907227 0.0039367676 0.0005187988 0.0053100586 0.0041503906 0.016235352 0.0052490234 0.0010986328 0.001159668 0.0043182373 0.0014648438 0.00091552734 0.001083374 0.0017852783 0.0005187988 0.00044250488 0.0007019043 0.00819397 0.0020599365 0.0004119873 0.01109314 0.002090454 0.011566162 0.0004272461 0.00088500977 0.002532959 0.017211914 0.00039672852 0.0415802 0.0011749268 0.0121154785 0.0006866455 0.0005340576 0.0014801025 0.00044250488 0.0007324219 0.00076293945 0.00076293945 0.00050354004 0.00033569336 0.00035095215 0.00079345703 0.00050354004 0.00035095215 0.00024414062 0.0007019043 0.0004272461 0.00032043457 0.0005340576 0.002105713 0.00065612793 0.0005493164 0.00090026855 0.0008544922 0.0005187988 0.0002746582 0.00036621094 0.00088500977 0.0002593994 0.0007019043 0.000289917 0.0006866455 0.00045776367 0.0005187988 0.00048828125 0.0010681152 0.00036621094 0.00047302246 0.00036621094 0.0009765625 0.00039672852 0.00044250488 0.0012054443 0.002609253 0.0012512207 0.0018005371 0.00074768066 0.0007324219 0.00038146973 0.0007019043 0.0007171631 0.008544922 0.0023345947 0.0010528564 0.0048217773 0.0032043457 0.0005187988 0.0013580322 0.0036468506 0.003829956 0.0033416748 0.00091552734 0.0014190674 0.0337677 0.0008544922 0.001876831 0.002166748 0.002319336 0.0009460449 0.0018005371 0.0010528564 0.0016174316 0.0008239746 0.0009460449 0.0012054443 0.0036468506 0.0011749268 0.0008392334 0.0030517578 0.0009918213 0.0005493164 0.00064086914 0.00050354004 0.0023651123 0.00065612793 0.00088500977 0.001159668 0.0009765625 0.00064086914 0.0008544922 0.0008239746 0.009002686 0.0014648438 0.0008392334 0.0033874512 0.0030517578 0.00064086914 0.00038146973 0.0004272461 0.0025024414 0.00077819824 0.00045776367 0.00018310547 0.0005645752 0.00033569336 0.0031585693 0.0026855469 0.002532959 0.0012207031 0.0008239746 0.00048828125 0.00074768066 0.00064086914 0.0007324219 0.032333374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012439546 9.3005954e-05 0.000108506945 6.200397e-05 5.4253473e-05 6.975447e-05 0.000108506945 6.975447e-05 0.000906808 0.00016276042 0.00027901787 6.200397e-05 0.00021701389 0.0002092634 0.0007517981 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02062407 0.00028676837 0.0006045387 0.0006122892 0.00069754466 0.00028676837 0.0015268477 0.0007905506 0.0014028398 0.00026351688 0.00034877233 9.3005954e-05 0.000953311 0.0002092634 0.00023251488 0.00281343 0.03872148 0.0013563368 0.00091455854 0.0010385665 0.0011703249 0.0011625744 0.0034799727 0.0020693825 0.0016896081 0.00048828125 0.0017051091 0.00062779017 0.0005502852 0.0005890377 0.001844618 0.0060841395 0.046650235 0.0013718378 0.0030846975 0.0023871528 0.003921751 0.0035962302 0.015438988 0.008362785 0.0016198537 0.0012865823 0.000922309 0.000953311 0.0005967882 0.0030691964 0.0011858259 0.0007905506 0.032149058 0.005750868 0.0027359251 0.0027359251 0.0016508556 0.001906622 0.005076575 0.003611731 0.00069754466 0.00067429314 0.0010540675 0.0011160715 0.000984313 0.0011935764 0.0012710814 0.00088355655 0.029831659 0.0028444321 0.0021778895 0.0021468874 0.0054175965 0.0033482143 0.008533296 0.0056656124 0.0039140005 0.00086805556 0.0006355407 0.00057353673 0.003503224 0.0008370536 0.0013020834 0.007765997 0.0039760047 0.00057353673 0.00051928323 0.0007828001 0.0030381945 0.00031777035 0.00013950893 0.0005967882 0.0027436756 0.00013950893 7.750496e-05 0.00034102183 0.00084480405 0.00028676837 0.0004960318 0.000999814 0.12488374 0.025088355 0.028676836 0.021120101 0.11530413 0.023034474 0.0117109995 0.027948288 0.10155475 0.005433098 0.0046115452 0.010602678 0.06708054 0.015950521 0.020841084 0.03107949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 409.0 12.185819 4984.0 0.037921347 0.0006019262 0.0064205457 0.00020064205 0.012439807 0.0 0.0 0.00020064205 0.0026083468 0.0010032103 0.0006019262 0.00020064205 0.0024077047 0.0018057785 0.012640449 0.0012038524 0.007223114 0.0026083468 0.0028089888 0.005016051 0.0018057785 0.0010032103 0.0014044944 0.0 0.0028089888 0.008426966 0.0008025682 0.0022070627 0.004614767 0.0044141253 0.0026083468 0.0006019262 0.0020064206 0.055778492 0.0010032103 0.011837881 0.014044944 0.009028892 0.007223114 0.004614767 0.02046549 0.010433387 0.0004012841 0.0010032103 0.0054173353 0.0040128413 0.003812199 0.0022070627 0.010032102 0.0004012841 0.00782504 0.008426966 0.015048154 0.010232745 0.014245586 0.036115568 0.0028089888 0.0 0.0004012841 0.0010032103 0.0056179776 0.007022472 0.011436597 0.018258426 0.0008025682 0.03711878 0.008828251 0.026083468 0.024678973 0.07624398 0.008426966 0.009831461 0.0044141253 0.04073034 0.0010032103 0.008226324 0.03310594 0.0128410915 0.039325844 0.029093098 0.017656501 0.0006019262 0.049357947 0.036115568 0.060794543 0.013443017 0.0064205457 0.004213483 0.008226324 0.008426966 0.0016051364 0.0008025682 0.0008025682 0.0 0.0 0.0 5.5129814 0.0 0.0 0.0 2.0 65536.0 81920.0 1.0 4.0 98.0 1.0 1.0 0.0 0.0 0.0 1540437600.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 43520.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10752.0 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 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 -43520.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6638274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7000036 0.0 0.0 0.0 0.0 4.5310936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7055719 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2248974 0.0 4.570478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10360.0 0.0 0.0 0.0 0.0 2124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43409.0 0.0 6496.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 172.0 56224.0 220.0 56396.0 6496.0 69632.0 2124.0 65536.0 0.0 0.0 252.0 77824.0 56.0 53584.0 0.0 0.0 0.0 0.0 0.0 0.0 208.0 50480.0 0.0 0.0 1104.0 50688.0 0.0 0.0 0.0 0.0


Input: 0.17548895 0.022985995 0.01818183 0.007816321 0.013317167 0.004571726 0.00789465 0.004425258 0.00521364 0.0032203957 0.010873054 0.0028153784 0.002383615 0.0026708203 0.0034152623 0.0027956371 0.0041839033 0.008458871 0.0046901745 0.0045736367 0.0026950196 0.0028504035 0.0037979907 0.003032534 0.0021766487 0.0023778835 0.00172387 0.0018786171 0.0029936878 0.0018334029 0.001797741 0.0029319164 0.00659108 0.00240463 0.002274082 0.002108509 0.0017143177 0.0028013685 0.0032395 0.0060001123 0.00877155 0.0050327834 0.004906693 0.0033611327 0.0036012135 0.0023192961 0.0027294077 0.0022301413 0.0035801984 0.002143534 0.0019117318 0.0022607087 0.0025581033 0.0028867023 0.0021830169 0.0019480304 0.002777806 0.002323117 0.0017843678 0.0018238507 0.0024071771 0.0018142983 0.0023562317 0.0023625998 0.0036687164 0.002439655 0.0026561737 0.003053549 0.0028300253 0.003049728 0.0027204924 0.0020715734 0.0017748156 0.0023957144 0.0016455413 0.0021091457 0.0021263398 0.002170917 0.0020652052 0.0023256643 0.0021798327 0.002111693 0.0026256063 0.003733672 0.0030993999 0.0024587596 0.003098763 0.002735776 0.002633885 0.002263893 0.0019359309 0.002170917 0.0022817238 0.002031454 0.0017856415 0.0035477206 0.002400809 0.005442895 0.002828115 0.004223386 0.004259048 0.00991082 0.0034241776 0.0033483962 0.0027911793 0.0054053226 0.002214221 0.0024052667 0.004854474 0.0030197974 0.0059275148 0.010874964 0.0050047636 0.0025657453 0.0065439558 0.006497468 0.006585986 0.003994768 0.0023454058 0.00268292 0.002788632 0.0026816463 0.0022715346 0.007217711 0.002087494 0.0038514836 0.0026701835 0.0029134485 0.0056568664 0.003648975 0.002379794 0.0028045524 0.0024160927 0.0020855835 0.0025651085 0.0024078141 0.0019467568 0.0016761086 0.0014742368 0.0018939008 0.002232052 0.0024078141 0.002051832 0.0019333836 0.0018270348 0.0019206472 0.0017818206 0.001801562 0.001776726 0.0019868764 0.0017136809 0.0021479917 0.0020671156 0.0024950583 0.002204032 0.0021371657 0.0024759537 0.0022193154 0.0021887482 0.0022263206 0.0019709559 0.001840408 0.0020461006 0.002020628 0.00222441 0.0021581808 0.0020148964 0.0020416428 0.0023422216 0.0022072159 0.002228231 0.00196013 0.0022721714 0.0019728665 0.0022053055 0.0020008865 0.0022613455 0.001847413 0.0022473356 0.0024676751 0.0022460618 0.0021696435 0.0021314344 0.0022753556 0.0023606895 0.0023562317 0.002121882 0.0017372433 0.0017850047 0.0021798327 0.0024835956 0.0022696243 0.0032617887 0.0020231751 0.0020078914 0.0023651472 0.0022823606 0.001977324 0.0024530282 0.0023352166 0.0022613455 0.002396988 0.0019856028 0.0022517934 0.0022110369 0.0016824767 0.00244666 0.0023384008 0.002087494 0.0020027969 0.0016512726 0.002372789 0.002037822 0.0022613455 0.0021078722 0.0022193154 0.00197414 0.0021594544 0.0020913149 0.002157544 0.0025784816 0.002498879 0.0023817045 0.0024842324 0.0036890947 0.0027064823 0.0024810482 0.0028223835 0.0023492267 0.0018601493 0.0024224608 0.002333943 0.0016449044 0.0019461199 0.0018327661 0.0018034724 0.0021639122 0.0018633335 0.0018709752 0.002174738 0.0024613068 0.0020333643 0.0015092619 0.0022167682 0.0019868764 0.0023116544 0.0017187755 0.0022396937 0.002563835 0.0019397518 0.0021734645 0.0022479724 0.0031662658 0.0028300253 0.0051060175 0.062080972 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088508945 4.589589e-05 3.2509586e-05 4.4621e-06 7.8724195e-05 7.8086756e-05 0.0003968082 0.00010772785 3.824657e-06 2.5497715e-05 5.099543e-06 3.824657e-06 1.2111414e-05 5.736986e-06 1.0199086e-05 0.00026262648 0.015427393 0.0004911497 0.0010922584 0.00033529496 0.003831988 0.0028691303 0.018247122 0.008888504 7.1712326e-05 0.0002913114 8.0317805e-05 5.6094974e-05 0.00017816528 0.00017115341 0.00015776712 0.0019881844 0.057929855 0.004389113 0.005976027 0.0018533652 0.0020602155 0.0018144812 0.010156059 0.008499345 0.0012280337 0.0008038155 0.00088700175 0.0008761652 0.0005826228 0.000834094 0.0008704283 0.0030670564 0.07430959 0.012846386 0.009502999 0.0035578874 0.0031792463 0.0037328654 0.0075623034 0.00907623 0.004389432 0.0023964664 0.0020484228 0.0018406163 0.0018138437 0.001615599 0.0013564784 0.008291219 0.033456508 0.003966807 0.009238779 0.0016949606 0.0015228511 0.0031483304 0.005521212 0.0043374803 0.0026664236 0.002306587 0.0030096865 0.0033605988 0.0030233916 0.002585787 0.0018648391 0.033178266 0.04688998 0.0028299277 0.0068955384 0.0026240337 0.002704989 0.0034345423 0.004041069 0.00423039 0.0052946005 0.002962516 0.0033618738 0.0037561322 0.0036566912 0.004781778 0.0046954043 0.02055594 0.011138358 0.0015266757 0.0016375908 0.0011024575 0.0013217378 0.001183094 0.0017351195 0.001033295 0.0009979168 0.00066867756 0.0006412675 0.0006505105 0.0008736155 0.0007964849 0.0008493927 0.0025644328 0.016000772 0.0024981387 0.0026291332 0.0017969515 0.0021392584 0.0018562337 0.002370969 0.0015508985 0.0017590236 0.0013746456 0.0014944848 0.0014766364 0.0019209342 0.002202365 0.0018744008 0.00274706 0.002796462 0.0004458913 0.00060620817 0.0007018246 0.0005166475 0.00049593055 0.0013268373 0.0009112246 0.00044971597 0.00031744657 0.00039617074 0.00033816346 0.00044047303 0.0003939397 0.00043059266 0.0005290776 0.028879987 0.022986509 0.022446595 0.023449292 0.021774093 0.022115761 0.02193919 0.024069207 0.022757668 0.021854728 0.021614095 0.022613924 0.023812953 0.021712897 0.023889447 0.025493572 8750.0 12.174972 106531.0 0.01091701 0.0034074588 0.0037923234 0.0047216304 0.0017929054 0.0072561037 0.0063643446 0.0029474988 0.0016521013 0.0019618704 0.0019337095 0.0023748956 0.007321812 0.0033135894 0.009743643 0.0028160817 0.0111516835 0.006955722 0.0029662726 0.0052660727 0.011705513 0.008241733 0.0054631983 0.0045526656 0.0040927054 0.0046371478 0.0018116792 0.0023842824 0.0073311995 0.0045902133 0.0073593603 0.004731017 0.0036045846 0.007894415 0.009846899 0.017929053 0.010316246 0.014080409 0.011724287 0.0047967257 0.0040739314 0.009340004 0.0026377297 0.0039612884 0.0068712393 0.006936948 0.005960706 0.00619538 0.007922577 0.00321972 0.010466437 0.020782683 0.01297275 0.006908787 0.008307441 0.006326797 0.0018210661 0.0033511373 0.004496344 0.0022340915 0.0025907953 0.001830453 0.0017553576 0.023251448 0.0022059307 0.036411937 0.012587885 0.024330946 0.02870526 0.08296177 0.011170457 0.014897072 0.009349391 0.03377421 0.0028817903 0.008504567 0.03051694 0.01364861 0.03872112 0.037237987 0.012766237 0.004580826 0.03430926 0.032797966 0.051524907 0.01975012 0.006157832 0.010128507 0.0076315813 0.0103913415 0.0043930872 0.0013047846 0.00096685474 0.002309187 0.0020932874 0.0010231764 5.898181 0.0 2.0 0.0 20.0 1570304.0 1589248.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541798000.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1507328.0 512.0 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 -1507328.0 0.0 61952.0 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 -6.8872967 0.0 7.025438 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 -1507120.0 0.0 61756.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1515208.0 61756.0 1515520.0 0.0 0.0 0.0 0.0 12.0 1581056.0 28.0 1514896.0 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: 0.4543213 0.008984375 0.0053141275 0.003979492 0.010262044 0.0023763021 0.001538086 0.0027750651 0.01105957 0.00083821616 0.0028808594 0.0029052733 0.0020589193 0.0029296875 0.0013264974 0.0011881511 0.0052897134 0.0015950521 0.0012695312 0.0013753255 0.0025797526 0.0006266276 0.0011393229 0.00068359374 0.0033772786 0.000789388 0.001546224 0.003979492 0.0032145183 0.00092773436 0.0016764323 0.0010498047 0.0034342448 0.0011067708 0.0008707682 0.0053792316 0.002750651 0.0014241537 0.0007405599 0.0006429037 0.0018229167 0.0020345051 0.003841146 0.00072428386 0.001538086 0.0008626302 0.0014078777 0.0034342448 0.0024495444 0.0028727213 0.0020996095 0.0013753255 0.0020670572 0.0015218098 0.0011800131 0.0004720052 0.0014567057 0.0005452474 0.0012369792 0.00057779945 0.0021565754 0.0013509115 0.0011962891 0.0014241537 0.011067708 0.0024820964 0.0013753255 0.0017740886 0.0034505208 0.001546224 0.0019124349 0.0016520183 0.0021728515 0.0015136718 0.0013020834 0.0016520183 0.0022298177 0.0013102214 0.0015055338 0.0014648438 0.0032145183 0.0013671875 0.0020589193 0.0016031901 0.0025960286 0.0016113281 0.0018310547 0.0012695312 0.0021484375 0.0013834635 0.0010742188 0.00072428386 0.0018310547 0.0009358724 0.0008789062 0.0014404297 0.0034342448 0.002001953 0.00078125 0.001529948 0.005004883 0.0028320313 0.0028401692 0.0009765625 0.0038981119 0.0018880208 0.00071614585 0.0030192058 0.009700521 0.0017985026 0.0020751953 0.0021402994 0.0039957683 0.0016927083 0.0031982423 0.0019124349 0.004801432 0.002368164 0.0016682943 0.0017496744 0.0038655598 0.002327474 0.0010660808 0.0022542318 0.0013020834 0.0006754557 0.0026204428 0.0008707682 0.0028238932 0.0017171224 0.0007486979 0.0006266276 0.0021891275 0.00083821616 0.0028564453 0.00049641926 0.0010904948 0.0014567057 0.0020100912 0.00069986976 0.003442383 0.0006591797 0.001953125 0.00083821616 0.0010172526 0.001163737 0.00060221355 0.0009765625 0.002726237 0.0017496744 0.00035807292 0.0005452474 0.0008707682 0.0032552083 0.00059407554 0.0006429037 0.0033854167 0.0005452474 0.0029215494 0.0010335286 0.002286784 0.0010660808 0.0012939454 0.00060221355 0.0007405599 0.00095214846 0.0005533854 0.0005533854 0.0011230469 0.00083821616 0.0015950521 0.0009440104 0.0010416667 0.0011555989 0.00070800784 0.00060221355 0.0009684245 0.00081380206 0.0011067708 0.0006184896 0.0009602865 0.002783203 0.00072428386 0.00056966144 0.0014160157 0.0007405599 0.0008463542 0.0005859375 0.0013590495 0.0020507812 0.00072428386 0.0009602865 0.0029134115 0.0008707682 0.0008626302 0.0016113281 0.0011555989 0.0012451172 0.0014811198 0.0008626302 0.0008870443 0.0004394531 0.0005533854 0.001163737 0.0023600261 0.0011067708 0.002351888 0.00081380206 0.0013916015 0.0010091146 0.0009684245 0.0009602865 0.0009684245 0.0009033203 0.0012369792 0.0010660808 0.0008626302 0.0008951823 0.0012532552 0.0018880208 0.0010253906 0.0010904948 0.0012288411 0.0010986328 0.0026855469 0.00069173175 0.0010253906 0.0040445966 0.001985677 0.00081380206 0.0017333984 0.0020507812 0.0010253906 0.0008626302 0.0005533854 0.0017496744 0.003100586 0.00060221355 0.0010579427 0.0017333984 0.0019124349 0.00072428386 0.0024576823 0.0019775392 0.004337565 0.0052408855 0.00059407554 0.0013671875 0.0012532552 0.0008707682 0.000764974 0.005794271 0.004012044 0.0033447265 0.0071289064 0.06661784 0.091747634 8.206408e-06 0.0 4.103204e-06 9.0270485e-05 8.206408e-05 0.00017233456 9.0270485e-05 0.0 0.0 0.0 0.0 4.103204e-06 0.0 0.0 0.00023798582 0.0077386424 3.6928835e-05 0.0 3.6928835e-05 0.0 0.0 0.0 2.8722427e-05 0.0 0.0 0.0 0.0 4.103204e-06 0.0 0.0 0.00055803574 0.0229246 0.0002092634 0.00018464417 9.847689e-05 0.00018464417 0.0001107865 0.0003200499 0.000221573 5.334165e-05 2.051602e-05 2.051602e-05 6.154806e-05 5.7444853e-05 3.6928835e-05 5.334165e-05 0.0006524094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014221705 0.00016412816 0.00024619224 0.00040211398 0.00034466913 0.00013950893 0.0007385767 0.00029543068 8.206408e-05 1.6412816e-05 3.2825632e-05 7.385767e-05 1.6412816e-05 0.0 1.6412816e-05 1.6412816e-05 0.033166196 0.00023798582 0.00022977941 0.00025850185 6.5651264e-05 9.0270485e-05 0.00040621718 0.0004390428 0.00040211398 0.00066471903 0.0004185268 0.00048828125 0.0006606158 0.00078781514 0.00038159796 0.0033194919 0.013195903 0.0005087973 0.0005170037 0.00015592175 0.00046776523 0.00015592175 0.00054982933 0.00016412816 0.00013130253 0.000114889706 8.206408e-05 5.7444853e-05 8.206408e-05 0.0001066833 9.0270485e-05 0.0004267332 0.050666362 0.0012801996 0.0022813813 0.00093963364 0.003323595 0.002580915 0.002576812 0.0018628545 0.0008534664 0.0007590927 0.0005416229 0.0005293133 0.00082474394 0.00095604645 0.0010011818 0.004653033 0.034261752 0.0008001247 0.0026424632 0.0018218225 0.0049156384 0.003643645 0.0036559545 0.0035164456 0.0005334165 0.00037749475 0.0001066833 9.847689e-05 0.00013130253 0.00018464417 0.00035697874 0.0017766872 0.05628775 0.0026670825 0.0017233456 0.002055705 0.003787257 0.0018833706 0.0051454175 0.004591485 0.002494748 0.0026670825 0.000623687 0.0015469078 0.0012432707 0.00093553046 0.0017931 0.011394597 0.09958476 0.009232208 0.007365251 0.0049033286 0.006602055 0.004308364 0.010939142 0.0096343225 0.0049197413 0.005256204 0.0022485557 0.0026917018 0.003664161 0.0034015558 0.005818343 0.037917707 0.0805582 0.008460806 0.008025867 0.005822446 0.008140757 0.005141314 0.011304326 0.007631959 0.006569229 0.0047556134 0.0035738905 0.0035738905 0.0048622964 0.003725709 0.007435005 0.040502723 0.0029255843 0.00029132748 0.00013540573 0.00033235952 0.0017931 0.00040211398 0.0005129005 0.0006524094 0.00017233456 0.00017233456 0.00012719932 0.00028722428 0.00029543068 9.0270485e-05 0.0001066833 0.0001066833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0079438025 0.007266774 0.008456703 0.0071806065 0.008538767 0.0074596247 0.008153066 0.007311909 0.008025867 0.007631959 0.008025867 0.0078001902 0.008608522 0.007627856 0.008469013 0.007549895 247.0 9.376518 2316.0 0.012953368 0.0034542314 0.00043177893 0.0021588947 0.00086355786 0.0017271157 0.00086355786 0.0012953368 0.0017271157 0.0025906735 0.00043177893 0.0017271157 0.00086355786 0.0025906735 0.01208981 0.0025906735 0.005181347 0.0030224526 0.004749568 0.0043177893 0.0012953368 0.0012953368 0.0038860103 0.00086355786 0.0021588947 0.0012953368 0.0021588947 0.0043177893 0.0017271157 0.0021588947 0.00086355786 0.00086355786 0.006044905 0.017271157 0.013385147 0.009499136 0.010362694 0.018998273 0.014680483 0.009499136 0.006044905 0.012521589 0.005613126 0.0090673575 0.008635579 0.014680483 0.011226252 0.0073402417 0.0043177893 0.0030224526 0.01208981 0.015112262 0.0116580315 0.0034542314 0.009930915 0.0043177893 0.00086355786 0.0030224526 0.0012953368 0.00086355786 0.0038860103 0.0034542314 0.0012953368 0.009499136 0.006476684 0.045336787 0.005613126 0.016839378 0.019430052 0.078151986 0.022884283 0.01597582 0.0090673575 0.037564766 0.0025906735 0.02374784 0.04058722 0.03151986 0.04317789 0.03583765 0.016839378 0.0021588947 0.03670121 0.023316063 0.04835924 0.013816926 0.006044905 0.028929189 0.0116580315 0.009499136 0.0021588947 0.004749568 0.006044905 0.0012953368 0.00043177893 0.0017271157 5.742628 0.0 0.0 0.0 2.0 122880.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1127876600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 4.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -61440.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.072917 0.0 0.0 -4.5970016 0.0 4.1132016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3132.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -58432.0 0.0 12400.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 62196.0 12400.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 592.0 148.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.42077613 0.02657653 0.016121374 0.011962019 0.015078955 0.0030859737 0.0043864176 0.005284343 0.004221282 0.0051604914 0.005212096 0.0016100733 0.005408195 0.004293529 0.0017958509 0.0024563938 0.003024048 0.0014965425 0.0013830117 0.0010424192 0.0015378264 0.0018680978 0.0009185675 0.0014862214 0.0010733822 0.0010424192 0.0006399009 0.00090824644 0.0014346166 0.0011043451 0.0010837031 0.00056765403 0.02950769 0.00076375273 0.0046444423 0.0017029621 0.005728145 0.0017132831 0.0009495304 0.0009185675 0.0027040974 0.00086696254 0.0007224688 0.0006811849 0.002920838 0.0045102695 0.0045102695 0.0013417277 0.002435752 0.0045102695 0.0015894313 0.0020435546 0.0014449375 0.0012798018 0.0010011353 0.001197234 0.0012281969 0.0009495304 0.0019919497 0.00075343176 0.0010527403 0.0012591599 0.000598617 0.0005366911 0.0045102695 0.0025389618 0.0012694809 0.0034988131 0.003550418 0.005790071 0.0018164929 0.0021261224 0.0035297761 0.003973578 0.0004747652 0.0015791103 0.0021777274 0.0020641966 0.0039322944 0.0031478996 0.0040045413 0.0014139746 0.008432243 0.0060893795 0.0043864176 0.0013623697 0.0021570853 0.0026731344 0.0012385179 0.0014552586 0.0013210857 0.00067086384 0.004871504 0.0008463206 0.0013726907 0.0045205904 0.0009804934 0.008679946 0.0025183198 0.006491898 0.012333574 0.016121374 0.002931159 0.0020848385 0.0032820725 0.010124884 0.005325627 0.0031788626 0.006491898 0.004179998 0.0075239963 0.010537723 0.0066570337 0.0006502219 0.011962019 0.01280834 0.018680979 0.0045412323 0.0016100733 0.0046547633 0.0016100733 0.003055011 0.00043348127 0.00052637013 0.004881825 0.0024460729 0.0007843947 0.0004231603 0.0022190113 0.00033027143 0.000608938 0.00493343 0.000588296 0.0010733822 0.00048508617 0.0001754567 0.00043348127 0.0016823201 0.0002993085 0.004107751 0.0005057281 0.0010424192 0.00030962948 0.00030962948 0.00044380224 0.0003509134 0.0004231603 0.0004128393 0.00025802458 0.00027866653 0.0003612344 0.0002993085 0.0004128393 0.00046444422 0.00038187637 0.00016513572 0.0004231603 0.00014449375 0.00026834555 9.288884e-05 0.00092888845 0.00040251832 0.00026834555 0.0003509134 0.00025802458 0.000113530805 0.00010320982 0.00025802458 0.00030962948 0.00031995046 0.00038187637 0.00043348127 0.00019609867 0.0002993085 0.00010320982 0.00019609867 0.0004128393 0.00020641965 0.00024770357 0.00022706161 0.00056765403 0.00010320982 0.00021674063 0.00018577768 0.0007018268 0.0002993085 0.00039219734 0.0002993085 0.00046444422 0.00037155536 0.00024770357 0.0003612344 0.0019609868 0.00056765403 0.0010940242 0.00052637013 0.000598617 0.00014449375 0.00040251832 0.00062957994 0.0002889875 0.00040251832 0.00034059244 0.0013210857 0.003478171 0.00026834555 0.00019609867 0.00026834555 0.00031995046 0.00019609867 0.00037155536 0.00045412322 0.00040251832 0.00027866653 0.0005366911 0.000577975 0.0004128393 0.00024770357 0.00018577768 0.0002993085 0.00026834555 0.00025802458 0.00024770357 0.00018577768 0.0005366911 0.0002373826 0.00027866653 0.0014036536 0.00024770357 0.00025802458 0.00019609867 0.0002993085 0.002301579 0.00024770357 0.00021674063 0.00062957994 0.00051604916 0.0001754567 0.00010320982 0.00021674063 0.0031788626 0.00033027143 0.0001754567 0.00024770357 0.0003509134 0.0002993085 0.00046444422 0.00039219734 0.0021054805 0.0007018268 0.00024770357 0.00055733306 0.003055011 0.00025802458 0.0007740737 0.01334503 0.07524782 5.250336e-06 0.0 0.0 5.250336e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0500672e-05 0.010442918 3.1502015e-05 2.1001344e-05 3.1502015e-05 2.625168e-05 1.5751008e-05 5.250336e-06 1.5751008e-05 0.0 2.625168e-05 0.0 2.625168e-05 0.0 2.1001344e-05 4.7253023e-05 4.2002688e-05 0.019961778 0.00012600806 0.00012600806 0.00012600806 0.00012600806 8.4005376e-05 6.300403e-05 9.4506046e-05 4.2002688e-05 8.4005376e-05 9.4506046e-05 0.00013650874 7.350471e-05 0.00011550739 9.4506046e-05 0.00015751008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008652554 2.625168e-05 3.1502015e-05 2.625168e-05 0.0004935316 0.00045677923 0.0005250336 0.0005355343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.250336e-06 0.032053303 0.00027301747 0.00025726645 0.00029401883 0.0041057626 0.0027091734 0.0005827873 0.00044627857 0.00012075773 8.4005376e-05 0.00011550739 6.300403e-05 0.00043052755 9.9756384e-05 0.00041477656 0.0009608115 0.0476258 0.0010868196 0.0033864668 0.0012128276 0.0012443296 0.00097131217 0.0025464129 0.0014385921 0.000672043 0.00032552084 0.0003937752 0.0005407846 0.00027301747 0.00021526378 0.00022576445 0.002357401 0.03796518 0.00039902554 0.0017431115 0.0005092826 0.0015278478 0.0017641129 0.002703923 0.0021263862 0.000593288 0.0004200269 0.00039902554 0.0005197833 0.0005145329 0.00038327454 0.00043577788 0.0017588625 0.09600239 0.0029979418 0.015971523 0.0044155326 0.0040585096 0.0041582664 0.01843918 0.011025705 0.0023521506 0.0016066028 0.0012600806 0.0012705813 0.0012443296 0.0012075773 0.0011130712 0.004919565 0.111175865 0.005533854 0.027926538 0.006862189 0.017105594 0.017667381 0.053185903 0.039640035 0.0034284694 0.000687794 0.00048828125 0.00050403224 0.001391339 0.00050403224 0.0014018397 0.0028194305 0.053868446 0.0040217573 0.008888819 0.0050088204 0.009734123 0.008395287 0.02249769 0.015525243 0.0021841398 0.0007245464 0.00081380206 0.00069304433 0.0012705813 0.0010343161 0.0010080645 0.0041162632 0.0101226475 0.0008820564 0.0007087954 0.000687794 0.0011918263 0.0011813256 0.0010290658 0.00095031084 0.0013808383 0.00012600806 0.0002625168 0.00018376176 0.0008610551 0.00017326108 0.00034652217 0.0014175908 0.008516045 0.0012810819 0.0020213793 0.001359837 0.00090830814 0.0010343161 0.00047253023 0.00075604836 0.0009398101 0.00043052755 0.00028351814 0.00035177253 0.000656292 0.00029401883 0.0007087954 0.0014910954 0.018754201 0.0039797546 0.0037329888 0.003423219 0.005843624 0.008862567 0.0020738826 0.0042370213 0.0072927168 0.0005512853 0.0007823001 0.00097131217 0.0056441114 0.0011918263 0.0021158855 0.005812122 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1028.0 21.826849 22438.0 0.119975045 0.00040110527 0.015420269 0.0020500936 0.00062394154 0.0034316785 0.00057937426 0.00044567251 0.003342544 0.00080221053 0.00035653802 0.00053480704 0.010651574 0.007888404 0.011320082 0.0028077369 0.0068187895 0.008066673 0.0029414387 0.0034762456 0.0027186023 0.0018272573 0.0021837954 0.0016044211 0.0020500936 0.0011587485 0.006194848 0.00035653802 0.0012033158 0.0034762456 0.00066850876 0.00026740352 0.0015152866 0.008958017 0.0036545147 0.011587486 0.009091719 0.018495409 0.004456725 0.0074872985 0.007576433 0.0150191635 0.00044567251 0.005080667 0.006016579 0.006194848 0.014528925 0.0120777255 0.0065959534 0.00044567251 0.012746234 0.01443979 0.01394955 0.0015598538 0.0031642749 0.0039664856 0.003342544 0.0025849007 8.9134504e-05 0.0010696141 0.017247526 0.0010250468 0.00031197077 0.015464837 0.00053480704 0.032489527 0.008467778 0.022640163 0.03360371 0.061903913 0.009448257 0.005526339 0.008378644 0.03859524 0.0014261521 0.010963544 0.022773866 0.012790801 0.026651217 0.040333364 0.02268473 0.0011587485 0.044255283 0.041937783 0.042873695 0.012389696 0.004946965 0.016623585 0.004367591 0.0119885905 0.0009359123 0.0015598538 0.00049023976 0.0013815848 0.0 4.4567252e-05 5.4960647 73.0 1.0 0.0 1.0 96890.0 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: 0.11860876 0.0062355283 0.0045933654 0.0044502625 0.005229117 0.0030004669 0.0031834508 0.0035071915 0.0074436916 0.0033312454 0.0025359693 0.0029582398 0.005010944 0.0025735043 0.0024937422 0.0048795706 0.004201592 0.0026110397 0.002137158 0.002547699 0.0038074728 0.0033312454 0.0029300884 0.0023858286 0.0033148238 0.002367061 0.0022216123 0.0026274612 0.0032397534 0.0024843584 0.0023740989 0.0023131042 0.0038262403 0.002411634 0.0018908337 0.0023740989 0.0037370943 0.0022685311 0.0021488878 0.002287299 0.0023952124 0.0022450718 0.0020691257 0.0027799478 0.0024960882 0.002409288 0.0024397853 0.002188769 0.0026016557 0.0023084122 0.002191115 0.0044127274 0.0024045962 0.0022051907 0.0022380338 0.002015169 0.0026861099 0.0028808236 0.0023013745 0.00383797 0.0026298072 0.0024655908 0.0026086937 0.0024233637 0.004384576 0.0058437553 0.0022239583 0.0030239264 0.0031646832 0.005491863 0.0034790402 0.00304504 0.0029816993 0.0026110397 0.002188769 0.002230996 0.0023506393 0.0034931158 0.0028010614 0.0024491693 0.0054402524 0.0026837639 0.0024679368 0.0036479484 0.0024374395 0.0032186399 0.0037699377 0.0036244888 0.0027353747 0.003704251 0.0022122285 0.002817483 0.0024491693 0.0028456342 0.0032866725 0.0031083804 0.002505472 0.002763526 0.0023694069 0.0028479802 0.002897245 0.0043564243 0.0038496999 0.0022896447 0.0034086618 0.0032960563 0.003981073 0.0023811366 0.0033734725 0.0029652775 0.0028526722 0.003258521 0.003174067 0.0030239264 0.004103062 0.003706597 0.005982166 0.006887702 0.0027963694 0.0028808236 0.002639191 0.0025336233 0.002282607 0.0024397853 0.002901937 0.0034133536 0.0029418182 0.002819829 0.0030215804 0.0026086937 0.002099623 0.0056185443 0.0028057531 0.0047177 0.0027025314 0.0024820124 0.0028456342 0.0063246745 0.002857364 0.013909123 0.0023131042 0.0056537334 0.0025336233 0.0025125097 0.002676726 0.0023905204 0.0021700014 0.002320142 0.002507818 0.002634499 0.0027729098 0.0024491693 0.0028690938 0.0026861099 0.0025758503 0.00250078 0.0026274612 0.0027400667 0.0027095694 0.0029160127 0.0027189532 0.0025547368 0.0024045962 0.002596964 0.0027799478 0.0027353747 0.0023787909 0.0025711583 0.0027424127 0.0026931476 0.0023436015 0.0026579585 0.0027095694 0.0026556125 0.0028737858 0.0028831696 0.0029629318 0.0028315587 0.002639191 0.0027822938 0.0028667478 0.0027893316 0.003481386 0.003171721 0.0033101318 0.0028925533 0.0027424127 0.0027893316 0.0033242076 0.003040348 0.0033218616 0.003396932 0.0063152905 0.0042180135 0.0044361865 0.0047622733 0.003575224 0.0033781645 0.0037230186 0.004644976 0.0036338726 0.0040397216 0.00446903 0.0054308684 0.0036502944 0.0032350617 0.0037159808 0.0035634942 0.0033781645 0.0037394403 0.0036526402 0.0037230186 0.0032186399 0.0029300884 0.0032772887 0.0036033753 0.0038942727 0.0039928025 0.003753516 0.0036596782 0.0037511701 0.003488424 0.003486078 0.003708943 0.0038145105 0.0036080673 0.0035705322 0.0032444454 0.0034180456 0.0031130724 0.0033242076 0.0033805103 0.007105875 0.0041288678 0.0034180456 0.0047599273 0.0047036246 0.0033242076 0.0027072234 0.0034180456 0.0041265218 0.003307786 0.0030544237 0.00294651 0.0037675917 0.0027424127 0.0033312454 0.0030989966 0.0043282732 0.0028855153 0.0027963694 0.002817483 0.0047481977 0.0030638075 0.0030661533 0.05439079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022013837 1.0589232e-05 7.059488e-06 2.3531627e-06 9.412651e-06 3.529744e-06 9.412651e-06 1.6472139e-05 1.4118976e-05 2.2355045e-05 3.6474023e-05 3.6474023e-05 1.0589232e-05 8.236069e-06 0.0 2.1178465e-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 0.0057758377 8.236069e-06 3.529744e-06 5.8829064e-06 8.236069e-06 0.0 3.1767697e-05 1.2942394e-05 0.000104715735 5.4122742e-05 9.41265e-05 8.942018e-05 8.471386e-05 2.5884789e-05 2.9414534e-05 0.00090008473 0.0037521177 0.00021296123 2.3531626e-05 2.5884789e-05 2.7061371e-05 2.4708208e-05 3.2944277e-05 2.7061371e-05 7.4124626e-05 0.000112951806 0.00013648343 8.471386e-05 8.589044e-05 4.588667e-05 2.2355045e-05 0.00013060053 0.0106574735 0.00064476655 0.00016589796 0.00018001694 0.00022002071 0.00015530873 0.0003270896 0.00019648908 0.00024237575 0.000111775225 0.00014471951 0.00016589796 0.00029885166 0.00020590173 0.00015060241 0.00059064385 0.010721009 0.00035768072 0.00094714796 0.00033179592 0.00041062688 0.0001764872 0.0017884036 0.0010589232 0.00020001883 0.00013883659 0.00014354291 8.589044e-05 0.00013530685 0.000109422064 0.0001576619 0.000104715735 0.0070194844 0.0001070689 0.00065182603 0.00025767132 0.00048122177 0.00014589609 0.0013718938 0.00074712915 8.942018e-05 0.00018589984 0.00018472326 9.41265e-05 0.00015060241 0.00016825114 8.589044e-05 0.00030708773 0.015976798 0.0008589044 0.00018001694 0.00020354857 0.00063770707 0.00047651544 0.0018072289 0.0009800922 0.00036121046 0.0018425264 0.0008083114 0.0013542451 0.004066265 0.004038027 0.0025567112 0.009635025 0.020597233 0.00023531627 0.0007565418 0.00050710654 0.0015413215 0.00057417166 0.0032014777 0.0019848926 0.00053181476 0.0017848739 0.0021084337 0.0042498116 0.007700725 0.0056217057 0.0060276263 0.014866105 0.019179452 0.00032238328 0.0004094503 0.0003412086 0.0009906815 0.0006424134 0.0010518637 0.0012554122 0.0011742281 0.002635542 0.0035768072 0.0044557136 0.0073842243 0.008001929 0.0083219595 0.017365163 0.004561606 0.000528285 8.706702e-05 0.00020001883 0.00016942772 0.0004035674 0.0005682888 0.0007624247 0.00070006587 0.0008271367 0.001388366 0.0012542357 0.0013424793 0.0013295369 0.0015248494 0.0036297534 0.030042827 0.005867611 0.003226186 0.0044368883 0.009484422 0.009711502 0.00436747 0.008218421 0.018578218 0.001382483 0.0011224586 0.0023108057 0.0074489363 0.0026508376 0.005480516 0.0133812595 0.016680393 0.004341585 0.002503765 0.0033967902 0.0066700396 0.006679452 0.0028955666 0.0059946817 0.011685805 0.0008271367 0.0008518449 0.0014789627 0.0053205006 0.0020048947 0.0039074267 0.009098504 0.03226539 0.031434722 0.030998211 0.03234069 0.031065276 0.031418253 0.031961832 0.033260778 0.031382952 0.03165357 0.03173828 0.032731317 0.032852504 0.033097234 0.03283721 0.034624435 1454.0 7.77304 11302.0 0.014245266 0.005485755 0.007255353 0.0068129534 0.006282074 0.0060166344 0.0046009556 0.0055742348 0.0058396743 0.006193594 0.006989913 0.0068129534 0.0063705537 0.007520793 0.009024952 0.008140152 0.0061051142 0.007963193 0.0064590336 0.008317112 0.007166873 0.005928154 0.0063705537 0.005308795 0.006901433 0.008405592 0.0064590336 0.008228632 0.0070783934 0.006989913 0.009378871 0.006989913 0.006193594 0.014864625 0.007255353 0.01017519 0.017253583 0.012121748 0.0122102285 0.013271987 0.008228632 0.015926385 0.0064590336 0.0070783934 0.007963193 0.009024952 0.012298708 0.008494072 0.013095028 0.0066359937 0.0077862325 0.012475668 0.007520793 0.008051672 0.009290391 0.013891347 0.01052911 0.009290391 0.0063705537 0.0074323127 0.0061051142 0.0068129534 0.01017519 0.010794549 0.006547514 0.01946558 0.008405592 0.018669263 0.015218546 0.04353212 0.009201911 0.00973279 0.0119447885 0.026013095 0.008228632 0.00999823 0.02096974 0.014599186 0.021589098 0.024331976 0.012121748 0.007255353 0.025128296 0.020173421 0.03424173 0.013802866 0.00999823 0.009644311 0.008317112 0.008759512 0.0058396743 0.0067244736 0.0063705537 0.006282074 0.0068129534 0.0077862325 6.389417 1.0 0.0 0.0 3.0 426267.0 225280.0 1.0 1.0 174.0 0.0 1.0 0.0 0.0 0.0 1480501900.0 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 7.0 10.0 4.0 0.0 4.0 0.0 88064.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30208.0 0.0 0.0 0.0 0.0 0.0 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 -88064.0 0.0 93184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.295204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4058284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.623666 0.0 5.037207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30031.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -87626.0 0.0 92824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82.0 124064.0 200.0 120256.0 92824.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 94944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 732.0 94208.0 0.0 0.0 0.0 0.0