Input: 0.028352015 0.0049404823 0.0042750514 0.0043067387 0.0049015875 0.0040401854 0.006957855 0.003971371 0.005473861 0.0037709123 0.003817831 0.003739225 0.0044718385 0.0038277588 0.0037214095 0.00425778 0.0041844775 0.0035355021 0.003585957 0.0034137852 0.004063985 0.0037109377 0.003664291 0.0035330541 0.0037677842 0.0035138787 0.0034838235 0.0034335048 0.0036474273 0.0033954256 0.0034332327 0.0034851835 0.004091728 0.0035316942 0.0036815624 0.0034714479 0.00409676 0.0035100707 0.0036381795 0.0035257104 0.003458664 0.0034150092 0.003430921 0.0035465178 0.0036077164 0.003502727 0.003502455 0.0034495525 0.0034995992 0.0034086173 0.0035219025 0.004124775 0.0037031858 0.0035348223 0.0033984177 0.0033997777 0.0035122468 0.0035474699 0.003386178 0.0037613923 0.0034014096 0.003423033 0.00346016 0.003392842 0.003919828 0.0036822425 0.0037501047 0.0035593016 0.003947572 0.0057360623 0.0039215963 0.0036638828 0.0038474782 0.0036063564 0.004203517 0.004103832 0.0039607636 0.0057253186 0.0037700962 0.003502863 0.004812238 0.0038288466 0.0035269344 0.0039993864 0.0037109377 0.0041663903 0.0041151196 0.0039063646 0.0034921193 0.0039262203 0.0033748902 0.0035285663 0.0034961991 0.003776896 0.0037088979 0.0035220385 0.0034214011 0.003663203 0.003501231 0.0035228545 0.0036663308 0.0041057356 0.0038333347 0.0037114818 0.0039177886 0.0036368195 0.004139871 0.003424665 0.0036702747 0.0034718558 0.003773224 0.0037143377 0.0036067644 0.003427249 0.0037847839 0.003774856 0.004847053 0.005038128 0.0035931647 0.003622404 0.0036113882 0.0033761142 0.0032965562 0.0033693144 0.0034903514 0.003699514 0.0034464244 0.0034751196 0.0076840767 0.0036045883 0.0034509124 0.005269458 0.0038865092 0.004490742 0.0034566242 0.0035478778 0.0037694161 0.0049387147 0.003658443 0.008320132 0.0036748985 0.0062661767 0.0034925272 0.0034378567 0.0034537683 0.0033931138 0.0033962417 0.0035473339 0.0036436194 0.0034849115 0.0034420725 0.0034301048 0.0033272915 0.0033248435 0.0033922978 0.0033026761 0.0036066284 0.0033566668 0.0033665944 0.0034031775 0.0034714479 0.0035620215 0.0034071214 0.003386314 0.0034971512 0.003653275 0.0033687705 0.0034944313 0.0033973297 0.0033920258 0.003381826 0.003341435 0.003425617 0.003505311 0.0033650985 0.003384954 0.0034873595 0.0033992336 0.003353675 0.0033289234 0.003427113 0.0036452513 0.0035601174 0.0035119748 0.003817695 0.003342115 0.003346059 0.0033124678 0.0034834156 0.0035730372 0.0033944738 0.003345787 0.00447619 0.0038181029 0.0039037808 0.0041412306 0.0038427184 0.0035665093 0.00448435 0.0038874613 0.0037876398 0.003661163 0.0034318727 0.003577253 0.00392962 0.0034747117 0.0039486596 0.0035352302 0.0035602537 0.0034811036 0.003500279 0.0035216305 0.0035488298 0.0034514563 0.0038693736 0.003544614 0.0036857782 0.003382914 0.0033591148 0.003463288 0.003505719 0.0034655998 0.0037208654 0.003430921 0.0036408994 0.0034543122 0.0034594801 0.0033670024 0.003655995 0.0035217665 0.0034884473 0.0037827438 0.0066026323 0.0042375163 0.0034203131 0.0039976183 0.0041144392 0.003384546 0.003424937 0.0036763947 0.004007818 0.0035229905 0.003388082 0.0034864075 0.0035990125 0.0038646138 0.003702778 0.003982795 0.0038496542 0.0034541762 0.0034817834 0.0038205509 0.00495381 0.0038119832 0.003890589 0.014771401 0.00027859033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013460212 2.0404565e-07 2.0404565e-07 2.0404565e-07 0.0 3.400761e-07 1.3603044e-07 0.0 2.7206088e-06 2.7206087e-07 3.400761e-07 1.3603044e-07 0.0 0.0 0.0 1.3603044e-07 0.00012902486 7.481674e-07 6.801522e-07 1.3603044e-07 2.0404565e-07 6.1213694e-07 3.400761e-07 0.0 1.4963348e-06 4.080913e-07 9.5221304e-07 3.0606848e-06 6.801522e-08 1.3603044e-07 1.0882435e-06 3.400761e-07 0.0008643374 3.8768676e-06 1.1562587e-06 1.2922892e-06 1.3603044e-06 1.6323652e-06 1.56435e-06 1.0202283e-06 0.0010555962 2.6525936e-06 3.3327458e-06 4.420989e-06 6.1213694e-07 4.7610652e-07 4.8970956e-06 1.9044261e-06 0.00027280903 1.0882435e-06 1.0202283e-06 8.161826e-07 1.2922892e-06 7.481674e-07 1.9724414e-06 1.7003805e-06 0.0002632869 5.3732024e-06 1.7003805e-06 1.3603044e-06 1.0882435e-06 1.3603044e-06 8.8419785e-07 6.801522e-07 0.0003330025 1.5303423e-05 1.3671059e-05 4.38018e-05 3.3327458e-06 1.7888002e-05 1.7003805e-06 1.4963348e-06 8.8827874e-05 6.801522e-06 2.6525936e-06 2.176487e-06 2.3125174e-06 1.4283196e-06 1.0882435e-06 2.1696855e-05 0.0021950551 0.00012766456 0.00016969797 8.610727e-05 0.00015636698 2.945059e-05 3.6864247e-05 0.00014847722 0.00031586268 5.930927e-05 2.1356778e-05 1.9384337e-05 1.25148e-05 2.2445021e-05 2.3125174e-05 0.00047658265 0.0086099785 0.00031123764 0.000781971 0.00022288586 0.0007441545 0.00018595361 0.0008856942 0.0005241253 0.00029287353 0.00018758597 9.658161e-05 8.6515356e-05 9.2228634e-05 0.000102090846 8.420284e-05 0.0008607326 0.0033185985 0.000105355575 0.0002596821 0.00015004157 0.00031769907 0.00015983576 0.0005748646 0.00036102478 0.00022771495 7.100789e-05 4.169333e-05 4.3121647e-05 3.6932262e-05 4.4890043e-05 4.0060964e-05 0.00023716906 0.0018132858 4.7746682e-05 0.0001241958 0.00011106885 0.0002498879 0.00020574604 0.0005796937 0.00033885182 0.0004746782 6.43424e-05 8.5699176e-05 6.223392e-05 4.339371e-05 8.025796e-05 7.2232164e-05 0.00024342646 0.0016378745 5.6656678e-05 0.00012956899 9.1548485e-05 0.00026791194 0.000109436485 0.00036551378 0.00022247777 0.0004321687 0.00018595361 0.0001644608 0.0001479331 0.00016860972 0.0001412676 0.000119978846 0.0003553795 0.0018424642 7.291231e-05 0.00019459154 0.00014623272 0.00020397764 0.0001631005 0.00034578936 0.00023254403 0.001559453 0.0003223241 0.00033402274 0.0003896592 0.00063893496 0.0005639822 0.0004249591 0.00092276244 0.0022812984 0.00033851175 0.00035884828 0.00028933675 0.00066076784 0.0005081417 0.00029430186 0.00032960175 0.0016284884 0.00018928635 0.00016568507 0.0003365393 0.00047848705 0.00025002394 0.0004953548 0.0017031691 0.01093848 0.0025639697 0.0016565106 0.0019518327 0.005349193 0.0038971358 0.0017240498 0.0027553644 0.00839954 0.0007401416 0.0007427262 0.0013603724 0.003673706 0.0011136811 0.0041723936 0.009136416 0.007082901 0.0019412223 0.0012271305 0.0016103283 0.0032777893 0.0028434442 0.0015234048 0.00235013 0.0050474773 0.0006260801 0.0006930071 0.0009165731 0.002498947 0.0009532333 0.0026366098 0.0053066155 0.053050578 0.052266702 0.052543525 0.051772233 0.053668495 0.052773006 0.052837215 0.05219352 0.05316743 0.052410893 0.052681867 0.051957574 0.053823706 0.053219665 0.0531558 0.052327916 32777.0 6.565793 215207.0 0.013782079 0.012578587 0.011955931 0.00972552 0.009469952 0.0081224125 0.014646363 0.010784965 0.009957855 0.0090935705 0.011389035 0.009474599 0.012076745 0.0116957165 0.009878861 0.009572179 0.0090935705 0.0097812805 0.011579549 0.008075945 0.012862035 0.011040533 0.009019223 0.00972552 0.010297063 0.010645565 0.008698602 0.009330551 0.00836404 0.009423485 0.010157662 0.010571217 0.0110080065 0.010338883 0.010348177 0.009428132 0.014386149 0.009386312 0.010032201 0.009823101 0.012750515 0.010910425 0.008717189 0.010733851 0.009874214 0.010166955 0.008684662 0.009595413 0.011342567 0.008847296 0.009790573 0.013396405 0.009400252 0.011035887 0.011184581 0.010743145 0.010139075 0.009995028 0.008345453 0.010761731 0.009395605 0.008977403 0.00829434 0.008786889 0.007978365 0.0123555465 0.010204129 0.010478283 0.01038535 0.015492061 0.009660467 0.014488377 0.011351861 0.0127876885 0.008693955 0.007996952 0.010947599 0.009126097 0.012941029 0.013480045 0.009776633 0.008903056 0.013856427 0.01180259 0.015273667 0.010603745 0.0089588165 0.011351861 0.011811883 0.008842649 0.008238579 0.00829434 0.009869567 0.007838964 0.008512734 0.008206053 6.565087 1.0 0.0 0.0 117.0 7353128.0 1249280.0 1.0 0.0 338.0 0.0 1.0 0.0 0.0 0.0 1383115600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 715776.0 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 169984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -715776.0 0.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9064636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.540371 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5898757 0.0 6.573095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 169596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -715581.0 0.0 319260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 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 2.0 -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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 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 -1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 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 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 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 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 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 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 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 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 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 -2.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 883076.0 319260.0 929792.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 722528.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 793912.0 0.0 0.0 1392.0 720896.0 64.0 882784.0 0.0 0.0


Input: 0.22061487 0.008081702 0.0089745205 0.0061739315 0.009614656 0.0033438618 0.0026953043 0.0023415457 0.008692356 0.0017351022 0.0022152031 0.0015034744 0.0060728574 0.002072015 0.001111813 0.0059212465 0.007146768 0.0010149506 0.0007201516 0.0005348494 0.004447252 0.002661613 0.0010360075 0.0004927353 0.0039208257 0.0009096652 0.00046325542 0.0007496315 0.0020678036 0.00067803747 0.0008843967 0.0012592125 0.015081069 0.0007580543 0.0034112444 0.0008970309 0.016340282 0.00082964834 0.0005516951 0.00116235 0.0021983576 0.00092229946 0.00044640977 0.002202569 0.0013223836 0.0007833228 0.0015076859 0.00047588965 0.006611918 0.0018993472 0.002611076 0.0056432933 0.0016171825 0.001448726 0.0010233733 0.0007580543 0.0022067805 0.0027121499 0.0017814277 0.0048978734 0.0013560749 0.0010191619 0.00056854077 0.0041145505 0.013885029 0.0047378396 0.011236049 0.004742051 0.007858496 0.007879553 0.0032259424 0.0015750685 0.0024005054 0.0037902717 0.0007875342 0.00085912825 0.004017688 0.0042998525 0.0025521163 0.0012760581 0.008245947 0.003958728 0.0041566645 0.006161297 0.0030995999 0.0039966307 0.0066750897 0.0038997685 0.0018572331 0.0035586439 0.0013013266 0.0017393136 0.002366814 0.003242788 0.0030448516 0.0046578227 0.001111813 0.009265108 0.0017266793 0.005567488 0.0067593176 0.0132743735 0.00345757 0.0030195832 0.0056348704 0.008679722 0.004447252 0.0008338598 0.0064392504 0.0021941462 0.00780796 0.008709202 0.003975574 0.00056011794 0.013345968 0.010065277 0.020374816 0.011737208 0.0024720994 0.0027458412 0.0021562434 0.001621394 0.00076226576 0.0003579701 0.0018319646 0.0023078544 0.0012844809 0.0011707728 0.004375658 0.0021099178 0.00056011794 0.013244893 0.0036555065 0.0071425564 0.00060644344 0.00046325542 0.003983997 0.009294588 0.002143609 0.026721414 0.0017266793 0.009753632 0.00050536956 0.0012929038 0.0010907559 0.00025268478 0.00048010107 0.0005980206 0.0010444304 0.0006485576 0.00033270163 0.00020635924 0.0007875342 0.0003579701 0.00031164454 0.00024847337 0.0007496315 0.000459044 0.00021057065 0.00023162771 0.0006106549 0.0014739946 0.0002947989 0.0007454201 0.0007833228 0.00060223206 0.0003242788 0.00038744998 0.00085070543 0.00021057065 0.0002568962 0.00034954728 0.0006948831 0.00026531902 0.00030743313 0.00024005053 0.0007791114 0.0002274163 0.00033691304 0.00028216466 0.00065698044 0.00066961464 0.00082964834 0.0008675511 0.001642451 0.00051800377 0.00037902716 0.00031585596 0.00069067173 0.0007159402 0.0007580543 0.0005264266 0.006611918 0.002918509 0.0027668984 0.004152453 0.004902085 0.0008549168 0.0035038956 0.0043082754 0.0026279218 0.0018319646 0.0008422826 0.0006822489 0.013737629 0.0005348494 0.0011412929 0.0006443462 0.0014782059 0.0009938935 0.0009644136 0.0008843967 0.0007706886 0.0006275005 0.00085070543 0.0006738261 0.0015919141 0.00045062118 0.0004169299 0.0010612761 0.00085070543 0.0003916614 0.00042535271 0.00037481575 0.002459465 0.0012044641 0.0005559065 0.00034112445 0.0021141293 0.0008759739 0.0005516951 0.00049694674 0.0136534 0.0032385765 0.00041271848 0.0047167824 0.0030195832 0.00048431248 0.0004211413 0.00045062118 0.0028511265 0.0011244472 0.00034112445 0.0009644136 0.0015792799 0.0003200674 0.0020341123 0.0017814277 0.0039713625 0.0022867972 0.0011370815 0.001886713 0.0034154558 0.0031248685 0.0034449357 0.043592334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037342901 6.368886e-05 2.335258e-05 1.2737772e-05 0.00012525475 9.1287366e-05 4.0336276e-05 2.9721466e-05 3.184443e-05 8.491847e-06 3.6090354e-05 1.6983695e-05 1.9106657e-05 2.335258e-05 3.184443e-05 5.9442933e-05 0.010540506 0.00025900136 0.00019106657 6.368886e-05 0.00040336276 0.00021017324 0.00028235395 0.00016559103 0.00013586956 6.1565894e-05 9.977921e-05 6.581182e-05 6.368886e-05 0.00010827106 0.00020592731 0.00018682065 0.0033521568 8.2795515e-05 4.0336276e-05 3.184443e-05 6.793478e-05 4.670516e-05 4.0336276e-05 3.6090354e-05 5.0951086e-05 2.5475543e-05 3.8213315e-05 6.368886e-05 4.45822e-05 6.1565894e-05 0.00030358357 6.1565894e-05 0.030120585 0.00045855978 0.0035920516 0.00039274796 0.0019297724 0.000501019 0.0061714505 0.0041185464 0.0006920856 0.00030358357 0.00012525475 0.00012737772 0.000167714 0.00020168138 0.00045431385 0.0028171705 0.038168732 0.0004797894 0.005351987 0.0029042119 0.0034434444 0.0020104449 0.008050271 0.006061056 0.0028277852 0.0003014606 0.00027173912 0.00012525475 0.00024626357 0.00016559103 0.00020380435 0.0033012058 0.039555028 0.0006666101 0.007653278 0.005657694 0.01875637 0.00827106 0.033245586 0.020293394 0.0013820482 0.00048191237 0.00036302648 0.00028659985 0.0004967731 0.0003460428 0.0003693954 0.0013056216 0.018992018 0.0003290591 0.0030804179 0.0021908968 0.0055069635 0.002798064 0.012136973 0.006954823 0.001008407 0.00032481318 0.00040973167 0.00043733016 0.00079823367 0.0003566576 0.0005180027 0.00067934784 0.015472147 0.0005264946 0.002339504 0.0023586107 0.0028872283 0.002018937 0.007538638 0.0042692763 0.0011039402 0.00050314196 0.00077275815 0.00068996265 0.001114555 0.00054347824 0.0005307405 0.00080884853 0.010355809 0.00055409304 0.0018554687 0.0018066406 0.002500849 0.0017620585 0.0047150985 0.0034498132 0.0037979789 0.00060716714 0.0007494056 0.001059358 0.0018469769 0.00085130776 0.0014393682 0.006126868 0.070274286 0.014559273 0.015792714 0.012582796 0.021352751 0.024573285 0.0094132135 0.015043308 0.044089675 0.0030485734 0.0030039912 0.0038807744 0.029209834 0.004870075 0.015172809 0.030523947 0.0481233 0.011213485 0.009149966 0.011856742 0.018333899 0.019834833 0.0071119224 0.016516645 0.03317128 0.0023564878 0.0025751528 0.0035050102 0.018461278 0.0053817085 0.01600501 0.028577192 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1320.0 23.503788 31025.0 0.023690572 0.00048348107 0.015052377 0.0003223207 0.021885576 0.0018372281 0.0003545528 0.0030298147 0.0017082997 0.00074133766 0.00029008865 0.0005157131 0.0014182111 0.0019016921 0.0025141016 0.0003545528 0.011120064 0.0042546336 0.009895246 0.0019016921 0.0012570508 0.0011603546 0.0014504432 0.0007091056 0.0021273168 0.0020950846 0.004448026 0.004609186 0.00096696214 0.00038678484 0.00045124898 0.025173247 0.079194196 0.019049155 0.0087993555 0.012344883 0.02394843 0.012538276 0.0029975825 0.0033521354 0.005382756 0.014182111 0.00048348107 0.0033843673 0.0042868652 0.0029653506 0.0074456083 0.0017727639 0.011248993 0.008702659 0.007284448 0.0238195 0.0048348107 0.0075100726 0.018597905 0.006414182 0.0026107978 0.0020950846 0.0067687347 0.0014504432 0.0036744562 0.0012892828 0.0015793715 0.019016922 0.0015793715 0.044609185 0.0070588235 0.030684931 0.020983078 0.04248187 0.005898469 0.014601128 0.010668815 0.03951652 0.0012248186 0.0017405319 0.0255278 0.004995971 0.029814666 0.03390814 0.010088638 0.0003223207 0.053440772 0.04357776 0.067945205 0.009895246 0.0035132957 0.006317486 0.0034165995 0.005962933 0.00093473005 0.00016116035 0.00029008865 0.0003545528 0.0006768735 0.0006768735 5.5268 2.0 0.0 12.0 3.0 237450.0 352256.0 0.0 206.0 164.0 0.0 1.0 0.0 0.0 0.0 1269620700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 138240.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 0.0 42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -138240.0 0.0 145920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7026696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.363204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.641455 0.0 4.163011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137740.0 0.0 147456.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -2.0 1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 -2.0 -1.0 1.0 1.0 0.0 -3.0 -1.0 1.0 0.0 2.0 2.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -3.0 0.0 0.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 1.0 -1.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 2.0 -2.0 2.0 0.0 1.0 0.0 17612.0 168224.0 140.0 164404.0 67996.0 204800.0 0.0 0.0 6856.0 255488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 158520.0 0.0 0.0 680.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.21224467 0.029351063 0.005531915 0.003819149 0.008978724 0.0035851065 0.002893617 0.003787234 0.008297873 0.0015851064 0.0021170212 0.0015957446 0.0069468087 0.0024787234 0.0018404255 0.0040425532 0.030202128 0.001 0.0012127659 0.0016170213 0.0026702129 0.006042553 0.0013404256 0.0009893617 0.0027234042 0.0019255319 0.0008723404 0.0011063829 0.0018510638 0.0012659575 0.0009361702 0.00086170214 0.024840426 0.0008510638 0.001606383 0.0006914894 0.0035957447 0.0016382979 0.0009255319 0.0007765957 0.001712766 0.0005744681 0.00073404255 0.0016489362 0.001393617 0.00081914896 0.0020106384 0.0011063829 0.0069893617 0.004106383 0.0029893618 0.00819149 0.0037127659 0.0027234042 0.0022553192 0.0027446807 0.0032340426 0.0029042554 0.0017765957 0.0031170212 0.0027021277 0.0023085107 0.0028191488 0.002861702 0.0049361703 0.0032659573 0.0019148936 0.0027340425 0.0024787234 0.009872341 0.002031915 0.0014787234 0.0022021276 0.0016276595 0.0020851064 0.0011489362 0.002244681 0.007712766 0.0021489363 0.0016489362 0.008138298 0.0030638298 0.0017765957 0.0044255317 0.0030638298 0.004180851 0.004244681 0.0035425532 0.0014148937 0.0031170212 0.0006382979 0.0010319148 0.0017659575 0.0034148935 0.0020531914 0.0025957448 0.0036595745 0.006244681 0.0009361702 0.003138298 0.0043510636 0.0076170214 0.0035638297 0.0019148936 0.0044255317 0.0040319148 0.0055957446 0.0008297872 0.0037765957 0.0018297873 0.0030957446 0.0045531914 0.0032765958 0.00073404255 0.005148936 0.0031595745 0.010053191 0.008010638 0.0014148937 0.0013085107 0.0021276595 0.0015425532 0.0005425532 0.0005638298 0.0010744681 0.0025851063 0.0009042553 0.00068085105 0.0035957447 0.00084042555 0.0007978723 0.008531915 0.0022127659 0.011744681 0.0006489362 0.00039361703 0.0015531915 0.011638298 0.00062765955 0.029787235 0.0012978724 0.014329787 0.00023404256 0.00032978723 0.0013404256 0.00026595744 0.00032978723 0.0012234043 0.0010957447 0.0006489362 0.00045744682 0.00031914894 0.0013723404 0.0004680851 0.0003617021 0.00026595744 0.00089361705 0.002787234 0.00045744682 0.00060638296 0.0018085106 0.0015212765 0.00035106382 0.00091489364 0.00081914896 0.00060638296 0.00029787235 0.00014893617 0.0009255319 0.0004255319 0.0006170213 0.00028723406 0.0015638298 0.0004148936 0.0004893617 0.00039361703 0.0017340425 0.0004148936 0.00026595744 0.00028723406 0.0015106383 0.0018723405 0.00032978723 0.0009574468 0.004255319 0.0009574468 0.00039361703 0.00030851064 0.0010319148 0.0012446808 0.0006702128 0.0004361702 0.0069468087 0.0018297873 0.0027553192 0.0029574467 0.0015319149 0.00071276596 0.0044574467 0.0029148937 0.0036489363 0.0020531914 0.0005212766 0.0004893617 0.012968085 0.00035106382 0.002180851 0.001180851 0.0027234042 0.0009255319 0.0009574468 0.00035106382 0.0015425532 0.00022340426 0.0012234043 0.0004148936 0.0020425532 0.0005212766 0.00032978723 0.0012659575 0.001712766 0.0014574468 0.0011063829 0.0005744681 0.003106383 0.0003617021 0.0006382979 0.0005638298 0.0024893617 0.0004680851 0.0004255319 0.0004255319 0.0148510635 0.005138298 0.0005744681 0.0034574468 0.004744681 0.00030851064 0.00038297873 0.0003617021 0.0045531914 0.0014042553 0.00080851064 0.00076595746 0.0021489363 0.00086170214 0.0030851064 0.005382979 0.0029361702 0.001606383 0.0006382979 0.0011489362 0.008244681 0.0017553192 0.0041489364 0.070861705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054725476 0.0042914497 0.018098958 0.0007703993 0.00056423614 0.0006347656 0.0023600261 0.0014811198 0.00017361112 0.0007703993 0.00024414062 0.0004014757 0.00014105903 0.00014105903 0.00023328993 0.003857422 0.022064887 0.004079861 0.00052625866 0.00050998264 0.0007703993 0.00026041668 0.0004231771 0.0002766927 0.00016818577 0.00032552084 0.00013563369 0.00023871528 0.0001953125 0.00015190973 0.00017903646 0.0030273437 0.036854383 0.0035644532 0.005729167 0.00083007815 0.0041178386 0.0024576823 0.0060709636 0.0034722222 0.000249566 0.00017903646 0.00030381946 0.00033094618 0.0004720052 0.00022243924 0.00029296876 0.0015190972 0.04343533 0.006407335 0.0017903646 0.0014865452 0.005598958 0.0032714843 0.012000868 0.005311415 0.0012695312 0.0007052951 0.0012478299 0.0008192274 0.0013237847 0.0006076389 0.0007921007 0.0028211805 0.018153211 0.000906033 0.0026855469 0.0035210503 0.0034722222 0.0020887586 0.0077094184 0.0031901042 0.00056423614 0.0002875434 0.00035264756 0.00032009548 0.00037434895 0.0002766927 0.000249566 0.00029296876 0.0048990888 0.0014268663 0.0013888889 0.018310547 0.0032118056 0.0019748264 0.0031901042 0.0017903646 0.00101454 0.0009874132 0.0010904948 0.0011230469 0.0009819878 0.0010525173 0.0010091146 0.0009928385 0.011778429 0.0026584202 0.0020670572 0.009326172 0.0020073785 0.0025119358 0.0029568141 0.0025553384 0.006971571 0.0020670572 0.0012207031 0.0016059028 0.002924262 0.0013183594 0.0017469618 0.012950304 0.072157115 0.022417534 0.008398438 0.012890625 0.020600043 0.02319336 0.014637587 0.014849176 0.055609807 0.0048665362 0.0042263456 0.007671441 0.028233508 0.008740234 0.024994574 0.06540256 0.030973308 0.009988064 0.0025390624 0.005278863 0.008273655 0.010953776 0.0067816842 0.0074435766 0.022401258 0.0013237847 0.0016601563 0.0032280816 0.012413194 0.003765191 0.008376736 0.020155165 0.003157552 0.0012424046 0.0014756945 0.0023328993 0.0011067708 0.0011773003 0.0025824653 0.002045356 0.0010253906 0.0011338976 0.0008463542 0.0008192274 0.0008843316 0.00077582465 0.000764974 0.00085177954 484.0 15.454545 7480.0 0.019385027 0.0010695187 0.00080213905 0.0010695187 0.011764706 0.004411765 0.0010695187 0.0024064172 0.003342246 0.0010695187 0.0010695187 0.00040106953 0.004278075 0.0012032086 0.0144385025 0.005080214 0.030882353 0.025401069 0.019117648 0.017379679 0.014037433 0.013101604 0.009893049 0.012700534 0.01590909 0.011631016 0.0084224595 0.0060160425 0.00828877 0.00855615 0.010160428 0.018181818 0.03168449 0.018850267 0.0026737968 0.016844919 0.010695187 0.0060160425 0.0045454544 0.0048128343 0.0053475937 0.008689839 0.00013368984 0.0022727272 0.010026738 0.0072192512 0.0021390375 0.0036096256 0.009090909 0.004144385 0.008957219 0.009893049 0.013235294 0.0072192512 0.00882353 0.0062834225 0.0064171124 0.0014705883 0.0029411765 0.0010695187 0.0038770053 0.0012032086 0.0010695187 0.015374332 0.002540107 0.028074866 0.0049465243 0.026604278 0.020320855 0.048663102 0.010561497 0.010695187 0.010026738 0.029278075 0.0046791444 0.0029411765 0.027807487 0.014839572 0.023395723 0.038502675 0.01778075 0.0018716578 0.029144386 0.020187166 0.0407754 0.010962567 0.0054812836 0.0054812836 0.009625669 0.0070855613 0.0016042781 0.0010695187 0.0030748663 0.0018716578 0.00080213905 0.00013368984 5.9926558 0.0 6.0 0.0 2.0 94000.0 106496.0 1.0 5.0 113.0 1.0 1.0 1.0 1.0 0.0 1307223400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -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 10.0 0.0 14.0 15.0 10.0 0.0 6.0 0.0 75776.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75776.0 -3072.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.597598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8011365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9624486 -5.44287 3.6995003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4972.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -75418.0 -3058.0 1392.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 186.0 79328.0 160.0 90596.0 1392.0 94208.0 0.0 0.0 4400.0 89600.0 4972.0 98304.0 84.0 18608.0 0.0 0.0 0.0 0.0 24.0 5260.0 64.0 5096.0 0.0 0.0 480.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.017307432 0.004086477 0.0046874294 0.0042667626 0.0042066677 0.004071453 0.003921215 0.00386112 0.003996334 0.003530596 0.004011358 0.003921215 0.0040263818 0.003770977 0.0041916436 0.0046874294 0.004507144 0.0039512627 0.003921215 0.0035756675 0.0038911675 0.0037409293 0.0039512627 0.003921215 0.0033202625 0.003996334 0.003846096 0.0042066677 0.0034554768 0.0035756675 0.003921215 0.0033653341 0.003936239 0.003695858 0.0041315486 0.0036357627 0.0042367154 0.0036507866 0.0035606436 0.0037259057 0.003530596 0.0034705007 0.0039061913 0.0039813104 0.00386112 0.003770977 0.0037409293 0.003996334 0.003846096 0.003966287 0.0039061913 0.003605715 0.004041406 0.003605715 0.0034705007 0.0034404532 0.0038761436 0.0035155723 0.0041615963 0.0035756675 0.0034855246 0.0041315486 0.003530596 0.0042066677 0.0037559532 0.0032451435 0.0038160484 0.004086477 0.0038911675 0.004011358 0.0039813104 0.0037559532 0.003966287 0.004041406 0.0038160484 0.00386112 0.0040263818 0.00386112 0.0036507866 0.0035005484 0.0038911675 0.003605715 0.0034554768 0.004507144 0.003996334 0.0039813104 0.004071453 0.003530596 0.0038761436 0.00417662 0.004101501 0.003996334 0.0034404532 0.0034855246 0.0038761436 0.004146572 0.003966287 0.0037108818 0.0034404532 0.003530596 0.003695858 0.003921215 0.0035906911 0.0037108818 0.0038310722 0.004326858 0.0036507866 0.0038911675 0.0033653341 0.0037559532 0.003966287 0.0040564295 0.00386112 0.004086477 0.004101501 0.0038310722 0.0039061913 0.003921215 0.0035756675 0.0036507866 0.0036357627 0.0035756675 0.0034404532 0.004011358 0.0037108818 0.0033202625 0.003530596 0.0038761436 0.004146572 0.004882739 0.0035906911 0.003921215 0.004011358 0.003680834 0.0037259057 0.004101501 0.0035155723 0.0044770963 0.0034855246 0.0042216913 0.0040263818 0.003936239 0.0036507866 0.003921215 0.003605715 0.003770977 0.0036658102 0.003605715 0.004071453 0.003786001 0.0039512627 0.0037259057 0.0041315486 0.0035606436 0.003530596 0.0036357627 0.004101501 0.0036507866 0.003921215 0.003936239 0.0039061913 0.004356906 0.0036207389 0.0038010245 0.0034404532 0.0035606436 0.0038160484 0.0036658102 0.003966287 0.0036507866 0.0036658102 0.0034554768 0.0038911675 0.004011358 0.0035756675 0.004251739 0.0035606436 0.0035155723 0.0037559532 0.0034404532 0.0041315486 0.0036658102 0.004041406 0.0037409293 0.0037259057 0.004086477 0.0039061913 0.0036207389 0.003770977 0.0040263818 0.004101501 0.0036507866 0.0041615963 0.004642358 0.0046273344 0.0041916436 0.0036207389 0.0037559532 0.0042066677 0.004432025 0.0039512627 0.0037259057 0.0034705007 0.0037559532 0.0041315486 0.00386112 0.0039061913 0.004101501 0.0040263818 0.0037559532 0.0038310722 0.003680834 0.003966287 0.0037409293 0.003996334 0.0044770963 0.003996334 0.003770977 0.003605715 0.0036658102 0.003921215 0.003680834 0.003695858 0.0039813104 0.003680834 0.0036507866 0.003921215 0.0035906911 0.0033953816 0.003605715 0.0034855246 0.0036658102 0.0037108818 0.0042216913 0.0036357627 0.0044470485 0.0039813104 0.0033953816 0.0045371912 0.0035906911 0.003695858 0.0042667626 0.0034254293 0.0042216913 0.003605715 0.004041406 0.004101501 0.0042367154 0.0041315486 0.003921215 0.0037559532 0.003786001 0.004071453 0.0038010245 0.0039813104 0.004041406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0072250366 0.00046539307 0.00047302246 0.00021362305 0.0005187988 0.00038146973 0.00079345703 0.0005645752 0.0012130737 0.00022125244 0.00019073486 0.00030517578 0.0010681152 0.0005340576 0.0005187988 0.0009384155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003211975 0.00051116943 0.0005722046 0.0005264282 0.00046539307 0.00061035156 0.0006790161 0.0006790161 0.0018386841 0.000289917 0.0004119873 0.00060272217 0.0018005371 0.0009918213 0.00089263916 0.0015411377 0.06321716 0.06037903 0.060188293 0.059936523 0.06049347 0.061553955 0.059020996 0.059036255 0.06046295 0.060638428 0.060523987 0.06022644 0.062049866 0.0606308 0.05948639 0.060905457 286.0 5.748252 1644.0 0.012773722 0.007907542 0.010948905 0.00973236 0.00973236 0.010340633 0.0121654505 0.009124087 0.00729927 0.011557178 0.013990267 0.012773722 0.009124087 0.009124087 0.010948905 0.007907542 0.0060827252 0.010948905 0.011557178 0.0121654505 0.0121654505 0.009124087 0.011557178 0.00973236 0.013990267 0.013381995 0.016423358 0.008515815 0.0060827252 0.010948905 0.013381995 0.00973236 0.009124087 0.007907542 0.010340633 0.007907542 0.0121654505 0.00973236 0.010340633 0.013381995 0.0066909976 0.009124087 0.007907542 0.0066909976 0.00973236 0.0121654505 0.008515815 0.00729927 0.008515815 0.00729927 0.0030413626 0.015815085 0.011557178 0.0066909976 0.010948905 0.0054744524 0.010340633 0.012773722 0.0060827252 0.0066909976 0.007907542 0.0060827252 0.0121654505 0.013381995 0.011557178 0.010948905 0.013990267 0.010340633 0.010340633 0.015206813 0.018248174 0.009124087 0.009124087 0.00973236 0.00973236 0.00973236 0.008515815 0.0121654505 0.015815085 0.015206813 0.012773722 0.01459854 0.015815085 0.008515815 0.0121654505 0.010340633 0.007907542 0.010340633 0.0060827252 0.011557178 0.010948905 0.01459854 0.010948905 0.007907542 0.012773722 0.007907542 6.5320325 0.0 0.0 0.0 1.0 66561.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 512.0 512.0 4096.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.988189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.10662868 0.0019325224 0.0025083646 0.0032067923 0.003396336 0.0031635268 0.003141894 0.0033736732 0.0044460376 0.003259329 0.0036219344 0.0043646577 0.005715157 0.004328603 0.004378049 0.0044295555 0.0037445198 0.0035642472 0.003395306 0.0031594064 0.0029070247 0.0034086977 0.0033304077 0.016927084 0.0034828668 0.003411788 0.017206248 0.017146502 0.0032799314 0.0030615442 0.0028328553 0.0027329328 0.0035034695 0.0022353805 0.0025217563 0.002064379 0.0019242814 0.001737828 0.0017007433 0.0018387807 0.0016925023 0.0017677017 0.0015307721 0.0029873748 0.0018325999 0.0018954377 0.007049174 0.002225079 0.0044594295 0.002814313 0.0028174035 0.002693788 0.0025536902 0.0026196185 0.0030491825 0.0031830992 0.0029626517 0.0027277821 0.0027236617 0.0034457822 0.010305413 0.0011393229 0.0012031909 0.0011496242 0.002032445 0.0018377505 0.0020623186 0.00215194 0.0022199284 0.002822554 0.0022333201 0.0022291997 0.002806072 0.002375478 0.002216838 0.002511455 0.0027257218 0.002382689 0.0024032914 0.0024414062 0.0027329328 0.0038073575 0.0029245368 0.0030831767 0.0030079773 0.0024887922 0.0020108123 0.0019706371 0.0018243588 0.0034560836 0.0046510333 0.0017491594 0.0018470217 0.0016986831 0.001610092 0.0048354263 0.0018109672 0.004631461 0.0034323905 0.004640732 0.0077846865 0.0059242733 0.0031233518 0.0028627291 0.002758686 0.004193656 0.0021859342 0.0019242814 0.012544913 0.0035034695 0.0032407865 0.002925567 0.0040545887 0.0020468668 0.0048189443 0.0030265197 0.0038114781 0.0022116874 0.0018995582 0.0015668266 0.002026264 0.001968577 0.002502184 0.009917054 0.00135462 0.0012124621 0.001611122 0.0018521723 0.00223229 0.0024692197 0.002782379 0.0035941207 0.0030316703 0.003164557 0.003046092 0.002981194 0.0032552083 0.0033458597 0.0032356358 0.004852939 0.0030038569 0.00478083 0.0030594838 0.0035683676 0.0031058395 0.0029884048 0.0032613892 0.0033685225 0.0031223216 0.0028998137 0.0024269845 0.0022446516 0.0020272944 0.0019582757 0.0018470217 0.0018119973 0.0016440862 0.0016554176 0.0016203932 0.0015606458 0.0014802957 0.0014802957 0.0016214234 0.0016585081 0.0015297419 0.0014020059 0.0014153975 0.0012938423 0.0013432885 0.0013443186 0.0016636587 0.0016677792 0.001586399 0.0016162727 0.0015503445 0.0017357677 0.0015431335 0.0014143675 0.0015081092 0.0013803731 0.0014710245 0.0012660288 0.0011671364 0.0012268838 0.0013721321 0.0012155524 0.0013371077 0.0013257763 0.0014885367 0.0012124621 0.0012649987 0.0011661063 0.0012608782 0.0009590503 0.0009075438 0.00087767007 0.0012742699 0.001570947 0.0021426687 0.0009188753 0.0009868637 0.0009229958 0.0007849585 0.00084058545 0.00093123683 0.00080144056 0.0009302067 0.0011259313 0.0010455812 0.00093226694 0.0010260087 0.0010095267 0.0012794205 0.0010136472 0.0010950273 0.00103631 0.0011465339 0.0011063588 0.0010723645 0.0011434434 0.0017285568 0.0012310044 0.0011774377 0.0012382154 0.001458663 0.0012423359 0.0014226085 0.001283541 0.0012268838 0.0012104019 0.0022446516 0.0010939973 0.0011712569 0.0014895669 0.0011743474 0.0012165826 0.00090033293 0.0007303616 0.0008313143 0.0013814033 0.002209627 0.0005562698 0.0004089613 0.00032140032 0.0008426457 0.00028637593 0.00038629846 0.00027710476 0.00030903876 0.0002606227 0.0005119742 0.0018511422 0.00036363563 0.0002565022 0.00048828125 0.26101723 0.016867101 5.156085e-07 1.5468255e-06 1.031217e-06 7.734127e-06 0.0 0.0 1.5468255e-06 6.7029105e-06 1.031217e-06 0.0 0.0 0.0 0.0 0.0 8.249736e-06 0.0030426057 1.4437038e-05 1.4952647e-05 3.403016e-05 6.187302e-06 3.6092595e-06 1.031217e-06 3.145212e-05 3.093651e-06 0.0 2.062434e-06 5.156085e-07 5.156085e-07 0.0 0.0 1.3405821e-05 0.0009889371 8.765344e-06 6.7029105e-06 3.093651e-06 3.093651e-06 2.062434e-06 2.062434e-06 2.062434e-06 1.5468255e-05 3.093651e-06 4.6404766e-06 3.093651e-06 3.6092595e-06 3.093651e-06 2.5780425e-06 3.6092595e-06 0.0035963692 7.218519e-06 1.701508e-05 0.00026450717 1.031217e-05 6.187302e-06 1.8046298e-05 0.00026966326 1.2890213e-05 2.062434e-06 1.031217e-06 4.124868e-06 8.765344e-06 2.5780425e-06 1.5468255e-06 1.5468255e-06 0.0015870429 2.062434e-05 1.5468255e-05 0.00016551033 3.093651e-06 4.6404766e-06 4.124868e-06 0.00016086985 4.124868e-06 3.6092595e-06 7.734127e-06 6.187302e-06 6.187302e-06 4.6404766e-06 2.062434e-06 0.00011601191 0.0038608764 0.00014024551 2.8874076e-05 0.0004676569 2.113995e-05 2.2686774e-05 3.8670638e-05 0.00045373547 6.135741e-05 1.9077515e-05 5.568572e-05 6.960715e-05 6.7029105e-06 3.9186245e-05 8.249736e-06 0.0010420447 0.00807907 0.0016097297 0.0005532479 0.002658993 0.00010621535 0.00016499472 0.0018948612 0.0029755766 0.00029389685 9.177831e-05 0.0001881971 0.000230477 5.6716934e-05 0.00043207992 7.6825665e-05 0.009098427 0.009890918 0.0038320024 0.00337672 0.0030761203 0.00031142755 0.0017510065 0.020023657 0.00601612 0.000632136 0.00010466853 0.00041351802 0.00038309713 0.00010827778 0.00049343734 0.00015313573 0.0138476975 0.010562756 0.0061156326 0.0035319182 0.003675773 0.0007409294 0.0020340756 0.013051082 0.0059119673 0.0019185792 0.0003820659 0.0006512135 0.0008373482 0.00053623284 0.00089561194 0.0006692598 0.029794952 0.014888195 0.011467649 0.0037154749 0.0048740474 0.001542185 0.002240319 0.0049998555 0.004908593 0.0028389404 0.0015055768 0.000921908 0.0020222166 0.0019392036 0.0015179514 0.0012364292 0.042866144 0.024349611 0.021592652 0.0059062955 0.009194846 0.0100827245 0.007859936 0.005530417 0.006187302 0.012563317 0.009403667 0.0026517746 0.0034550927 0.0025084354 0.0033653767 0.00399081 0.05298393 0.021079622 0.024393953 0.0090257265 0.014350931 0.008598288 0.00866016 0.007504166 0.008359561 0.0151671395 0.010252359 0.006231644 0.0048173303 0.0049828407 0.006042416 0.0067807673 0.06339406 0.02385772 0.017370334 0.0058913426 0.005531448 0.009537726 0.011556849 0.0086947065 0.005108649 0.0100786 0.01034156 0.008278094 0.005132367 0.0030194034 0.0025569026 0.0025677304 0.03626326 0.012422556 0.005119477 0.0053808903 0.004196022 0.0044718725 0.007662458 0.004321315 0.004016075 0.006790564 0.0036345243 0.0033911571 0.0033313464 0.003200382 0.0021093544 0.003986169 0.016778931 0.005850094 0.0019417816 0.0010162643 0.0013436758 0.001964984 0.0017082109 0.0014045176 0.0014519535 0.0019907644 0.0017773025 0.001554044 0.0010513257 0.00082600483 0.00081002095 0.0005986215 0.004277488 0.00019025954 4.84672e-05 4.9498416e-05 5.9810587e-05 7.3732015e-05 6.08418e-05 5.2592066e-05 6.548228e-05 6.857593e-05 5.8263762e-05 6.135741e-05 3.403016e-05 4.22799e-05 2.5780426e-05 2.371799e-05 0.00014127673 5338.0 12.331585 65826.0 0.008522469 0.0012608999 0.0010026434 0.0008963024 0.00045574698 0.00054689636 0.0007595783 0.00065323734 0.0023546927 0.001990095 0.00068362046 0.00999605 0.0010786011 0.0020812445 0.07181053 0.00042536383 0.032251693 0.010466989 0.008157871 0.00621335 0.0031750372 0.002096436 0.001291283 0.0015343481 0.0014887734 0.0007140036 0.00037978915 0.00033421445 0.0009266855 0.0038282746 0.0029775468 0.00047093854 0.0005620879 0.0013064747 0.00054689636 0.0015647312 0.0006684289 0.001291283 0.001291283 0.00045574698 0.000805153 0.0018077963 0.00042536383 0.0010178349 0.0038738493 0.00047093854 0.001154559 0.0015495397 0.0007140036 0.0040257648 0.0014887734 0.0050132168 0.0049524503 0.001291283 0.0006380458 0.00051651325 0.00037978915 0.009692219 0.0017318384 0.0004861301 0.00051651325 0.0008811108 0.00051651325 0.04803573 0.0005772795 0.040044967 0.021480873 0.039270196 0.085847534 0.054947894 0.014644669 0.015373864 0.0070792697 0.03105156 0.005149941 0.0012760916 0.15636678 0.022361984 0.022498708 0.020007292 0.034773495 0.0069729285 0.052426092 0.020614954 0.024944551 0.009737793 0.007231185 0.0020356697 0.008324978 0.0069121625 0.004542278 0.0005317048 0.0013824325 0.00036459757 0.0003190229 0.00041017227 4.9334083 0.0 0.0 0.0 2.0 970752.0 970752.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1525268400.0 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 -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 16384.0 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 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 -536576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 409600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7626257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1852612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.65755 0.0 5.9001107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -535536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15145.0 0.0 407224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 23724.0 407224.0 561152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 20480.0 640.0 20972.0 0.0 0.0


Input: 0.5012695 0.0078125 0.0037109375 0.0012695312 0.0045898436 0.007421875 0.004296875 0.0016601563 0.00546875 0.0017578125 0.0037109375 0.0020507812 0.0013671875 0.0033203126 0.00068359374 0.0047851563 0.0043945312 0.00078125 0.0017578125 0.00068359374 0.0016601563 0.0036132813 0.0016601563 0.00078125 0.0030273437 0.000390625 0.0012695312 0.0020507812 0.0012695312 0.00068359374 0.00048828125 0.0001953125 0.010058594 0.0025390624 0.0009765625 0.000390625 0.0072265626 0.006152344 0.0013671875 0.001953125 0.0034179688 0.003125 0.001953125 0.0026367188 0.0017578125 0.004199219 0.00546875 0.00068359374 0.0029296875 0.0016601563 0.0022460937 0.0036132813 0.0010742188 0.00029296876 0.00029296876 0.000390625 0.0012695312 0.00078125 0.00068359374 0.001171875 0.0013671875 0.0013671875 0.0013671875 0.0005859375 0.0051757814 0.0036132813 0.0005859375 0.00234375 0.0030273437 0.0038085938 0.0008789062 0.00068359374 0.022558594 0.0020507812 0.000390625 0.00029296876 0.0028320313 0.0018554687 0.00029296876 0.0001953125 0.0025390624 0.0001953125 0.00234375 0.001171875 0.003125 0.0016601563 0.000390625 0.00068359374 0.0012695312 0.00029296876 0.0015625 0.00068359374 0.001953125 0.0009765625 9.765625e-05 0.0067382813 0.001953125 0.008203125 0.0009765625 0.0053710938 0.005566406 0.014453125 0.0026367188 0.0026367188 0.0017578125 0.009375 0.00029296876 0.00078125 0.0064453124 0.0043945312 0.007910157 0.0053710938 0.0032226562 0.00029296876 0.010351563 0.007519531 0.016015625 0.005957031 0.0018554687 0.0010742188 0.0024414062 0.0013671875 0.0008789062 0.0 0.00078125 0.00078125 0.0001953125 0.0 0.001171875 0.0017578125 0.0 0.007421875 0.001953125 0.0043945312 0.000390625 0.000390625 0.001171875 0.0048828125 0.0009765625 0.009570313 0.000390625 0.0043945312 0.00029296876 9.765625e-05 0.0012695312 0.0001953125 0.000390625 0.0 0.0022460937 0.00078125 0.000390625 0.0001953125 0.000390625 0.00048828125 9.765625e-05 0.0 0.000390625 0.00029296876 0.0001953125 9.765625e-05 0.00068359374 0.00078125 0.0008789062 9.765625e-05 0.00048828125 0.0 9.765625e-05 0.0001953125 0.000390625 0.0001953125 0.0001953125 0.0 0.000390625 9.765625e-05 0.00029296876 9.765625e-05 0.00078125 0.00029296876 0.0001953125 9.765625e-05 0.0014648438 9.765625e-05 0.00029296876 0.0001953125 0.0018554687 0.0013671875 0.001171875 0.00029296876 0.0001953125 0.0 0.0 0.0001953125 0.006152344 0.0013671875 0.00068359374 0.0041015623 0.0024414062 0.0 9.765625e-05 0.0010742188 0.002734375 0.0015625 0.00048828125 0.0010742188 0.0063476562 0.00048828125 0.0 0.00048828125 0.0014648438 0.000390625 0.0013671875 0.00068359374 0.0001953125 9.765625e-05 0.0 0.0001953125 0.0016601563 0.00078125 0.0001953125 0.0012695312 0.0001953125 9.765625e-05 0.0005859375 0.0005859375 0.0014648438 0.00048828125 0.0001953125 0.0001953125 0.00068359374 0.00029296876 0.0001953125 0.0001953125 0.0087890625 0.000390625 0.00048828125 0.001953125 0.0029296875 9.765625e-05 0.00029296876 9.765625e-05 0.001953125 0.000390625 0.0015625 0.001953125 0.00048828125 9.765625e-05 0.0005859375 0.000390625 0.0013671875 0.00068359374 0.00029296876 0.000390625 0.000390625 0.0001953125 0.000390625 0.009179687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09412977 0.0029296875 0.0020073785 0.00027126737 0.0012478299 0.0007595486 0.004123264 0.0022243923 0.00048828125 0.00043402778 0.0003797743 0.0005967882 0.000108506945 0.00043402778 0.00032552084 0.0006510417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08186849 0.003092448 0.0055881077 0.0023871528 0.00081380206 0.00032552084 0.008029514 0.0053710938 0.0007595486 0.0003797743 0.00081380206 0.0006510417 0.000108506945 0.00027126737 0.00032552084 0.00032552084 0.07752821 0.0020073785 0.010633681 0.001953125 0.0029296875 0.0034179688 0.0040690103 0.0033094618 0.000922309 0.0005967882 0.0007052951 0.00086805556 0.00048828125 0.0006510417 0.00048828125 0.00054253475 0.056803387 0.00043402778 0.0033094618 0.0016818576 0.0032009548 0.005642361 0.025553385 0.0133463545 0.0 0.000108506945 0.000108506945 0.000108506945 0.000108506945 0.00032552084 5.4253473e-05 0.00032552084 0.048177082 0.0016276041 0.0083550345 0.0030381945 0.0032009548 0.005859375 0.02419705 0.013509114 0.00048828125 0.00032552084 0.00032552084 0.0006510417 0.00032552084 0.00048828125 0.00021701389 0.00032552084 0.11843533 0.0060221353 0.0126953125 0.0035264757 0.014322917 0.0060221353 0.0064561632 0.0070529515 0.013617622 0.0027126735 0.0011393229 0.0023328993 0.009928386 0.0029296875 0.007486979 0.0075412327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06504992 0.010199653 0.011664497 0.008246528 0.0289171 0.005533854 0.002983941 0.0073242188 0.02593316 0.0022243923 0.0013563368 0.00390625 0.020887587 0.0053168405 0.011773003 0.010904948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 109.0 15.449541 1684.0 0.03087886 0.00059382425 0.0011876485 0.0 0.017220903 0.0 0.0 0.008313539 0.0 0.0 0.0 0.0 0.0 0.023752969 0.031472683 0.002969121 0.008313539 0.009501188 0.0017814727 0.0035629454 0.0011876485 0.00059382425 0.00059382425 0.0 0.00059382425 0.0 0.002375297 0.0 0.0065320665 0.004750594 0.005938242 0.0017814727 0.0041567697 0.012470309 0.0 0.014251782 0.002969121 0.007719715 0.004750594 0.002969121 0.004750594 0.010688836 0.0 0.0011876485 0.002969121 0.0035629454 0.0011876485 0.0011876485 0.005938242 0.00059382425 0.01128266 0.002969121 0.013064133 0.0035629454 0.0017814727 0.00059382425 0.007719715 0.00059382425 0.005344418 0.0 0.00059382425 0.0 0.0 0.037410926 0.00059382425 0.049881235 0.004750594 0.031472683 0.029691212 0.083729215 0.009501188 0.012470309 0.008907364 0.055819478 0.0 0.002969121 0.038004752 0.024346793 0.04631829 0.03206651 0.011876484 0.0017814727 0.055819478 0.040380046 0.074228026 0.017814728 0.007125891 0.005938242 0.013064133 0.007719715 0.0035629454 0.0 0.0 0.0 0.0 0.0 5.2588563 0.0 0.0 0.0 3.0 10240.0 32768.0 1.0 0.0 40.0 1.0 1.0 0.0 0.0 0.0 1539920500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3072.0 1024.0 4096.0 7.0 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 3584.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 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 -3.1735332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.289579 0.0 0.0 0.0 0.0 3.4757836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.96823305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5841126 0.0 4.8553753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3230.0 0.0 0.0 0.0 0.0 300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3012.0 0.0 480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 9740.0 480.0 24576.0 300.0 16384.0 0.0 0.0 24.0 28672.0 28.0 8688.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8720.0 0.0 0.0 392.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.008081785 0.0041414043 0.0039148447 0.0039377254 0.004085837 0.0038944155 0.0039994214 0.003869696 0.00419881 0.0038921682 0.0038602988 0.0038055484 0.0040351725 0.0038509013 0.0038662232 0.0039099418 0.003967552 0.0038484498 0.003882771 0.0038247518 0.003882771 0.003903813 0.0038637717 0.0038153545 0.0038935982 0.0038625458 0.003843751 0.0038278163 0.0038200533 0.003850697 0.0038306764 0.003819236 0.0039358865 0.0038061615 0.0038631589 0.003844977 0.0039979913 0.0038047314 0.0038316979 0.0038468153 0.0038018713 0.0037894095 0.0038220962 0.0038649973 0.003850084 0.0038120858 0.0038466111 0.003824139 0.0038733734 0.0038664273 0.0037975812 0.004010249 0.0038607074 0.003860503 0.003756314 0.0037924738 0.00385131 0.0038157632 0.0038412996 0.0039001356 0.0038223004 0.0038327193 0.0038705133 0.0038607074 0.0039134147 0.0042731725 0.0038421168 0.0038901253 0.0039512087 0.004082364 0.0039538643 0.003887878 0.003873782 0.0038927812 0.0038321065 0.003810043 0.0039076945 0.0041087177 0.003952026 0.0038762335 0.0039918628 0.0039595845 0.0038539656 0.0038913512 0.0038380309 0.003909329 0.0039677564 0.003941403 0.0038915554 0.0038909425 0.0038263863 0.0038186233 0.0038143331 0.0038578473 0.00396224 0.0038944155 0.003849267 0.003825569 0.0038821578 0.003909329 0.0039217905 0.0039411983 0.0038819537 0.0037936997 0.0038954369 0.0038643845 0.003930371 0.003805957 0.003872352 0.0038468153 0.003837418 0.0038341493 0.003866836 0.0038427296 0.003924446 0.0038535572 0.004083385 0.0040909443 0.0039050386 0.0038509013 0.0037988068 0.0038613202 0.003784915 0.0038243434 0.0038412996 0.0038649973 0.0038790936 0.0038327193 0.0039336393 0.0038578473 0.0038562128 0.0040972773 0.0038165802 0.0040045287 0.0038903295 0.003843751 0.0038831793 0.0042817527 0.0038533527 0.004793504 0.0038380309 0.004235583 0.0038384395 0.0038214833 0.0038008497 0.0037810334 0.003839461 0.00385274 0.003859073 0.0038821578 0.0038468153 0.0038543742 0.0038635673 0.00385703 0.0037910438 0.0038455897 0.0038257735 0.003831902 0.0038133117 0.0037832807 0.003848654 0.0037673458 0.003838848 0.0038343535 0.0038537614 0.0038171932 0.003849267 0.0037936997 0.003790431 0.0038006455 0.0037920652 0.0038263863 0.0038421168 0.003826999 0.003875212 0.0037936997 0.003807387 0.0037922696 0.0037930866 0.003845794 0.0038770507 0.0038188274 0.0038018713 0.0038592773 0.003928328 0.0038439555 0.0037986026 0.0038020755 0.0038225048 0.0038102472 0.0038560086 0.003825569 0.0039697993 0.003961219 0.0038954369 0.0039111674 0.0038735776 0.0038355794 0.0039542727 0.0038474284 0.003830472 0.0039029957 0.003849267 0.0038476326 0.003997787 0.0038198489 0.003908103 0.003885018 0.003907899 0.0038817492 0.0038594815 0.0038257735 0.0038701047 0.0038588687 0.003808 0.003848654 0.0038741906 0.0037914524 0.0038547828 0.003845181 0.0038223004 0.0038684704 0.0038363966 0.0038678574 0.003910963 0.0038447725 0.0038075915 0.0038543742 0.0038627503 0.0038218917 0.0038376222 0.003796764 0.004381447 0.0039708205 0.0038173974 0.0038978884 0.0039021785 0.0038204617 0.0038176016 0.0038157632 0.003989411 0.003917909 0.0038866524 0.0038425254 0.0038165802 0.0038116772 0.0038762335 0.0038582557 0.0039299624 0.0038488584 0.003829042 0.0038396653 0.0040462045 0.0038124945 0.0039062644 0.0065189525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006277464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016950378 6.130336e-07 1.1238949e-06 2.9629957e-06 3.5760293e-06 3.2695125e-06 3.065168e-06 1.941273e-06 2.349962e-06 2.656479e-06 8.173781e-07 5.108613e-07 5.8238193e-06 2.0434453e-07 1.0217226e-06 9.8085375e-06 0.00014937585 2.0434452e-06 6.7433693e-06 1.941273e-06 1.1443293e-05 2.1456176e-06 2.1354002e-05 1.10346045e-05 0.0 2.0434453e-07 2.2477898e-06 2.0434453e-07 2.0434453e-07 1.02172265e-07 0.0 2.0434453e-07 0.0012559014 3.9131977e-05 3.7803737e-05 2.0025764e-05 0.00019760116 1.8595352e-05 1.13411215e-05 2.7893027e-05 2.2273554e-05 4.1686282e-05 1.083026e-05 8.480298e-06 7.0498863e-06 8.480298e-06 8.173781e-06 0.0001679712 0.00036117894 7.1520585e-06 1.3793256e-05 1.5428011e-05 3.555595e-05 7.1520585e-06 4.955355e-05 2.881258e-05 1.5121495e-05 6.7433693e-06 4.291235e-06 1.941273e-06 1.2975877e-05 1.0217226e-06 1.3282395e-06 6.569677e-05 0.0003720092 1.7369285e-06 9.604193e-06 1.5223667e-05 2.4010482e-05 2.3193104e-05 9.358979e-05 5.1494822e-05 3.8008082e-05 1.174981e-05 1.3895428e-05 1.0523743e-05 3.7497222e-05 1.941273e-06 5.5173023e-06 0.00012700012 0.00031489492 1.3895428e-05 3.0856023e-05 3.8110255e-05 0.0001285327 4.699924e-05 0.0001447781 7.4177064e-05 1.16476385e-05 4.01537e-05 1.0523743e-05 1.3691083e-05 1.4508461e-05 1.01150545e-05 9.1955035e-06 0.00014416507 0.00023325928 7.867265e-06 1.6756252e-05 2.390831e-05 5.6807778e-05 1.573453e-05 1.8799696e-05 1.4201944e-05 3.8723287e-05 2.3806138e-05 1.849318e-05 1.6960596e-05 3.208209e-05 6.436853e-06 1.573453e-05 8.817467e-05 4.5671e-05 1.2260672e-05 1.4201944e-05 1.8901868e-05 9.481586e-05 2.1149659e-05 8.786815e-06 2.5849582e-05 9.7983204e-05 6.947714e-06 7.2542307e-06 3.3512504e-05 6.7229346e-05 1.4099773e-05 0.00011851983 0.0002498112 0.0022226553 0.00036679843 0.00029854735 0.00031601882 0.0009102527 0.000758016 0.00030672114 0.0005301719 0.0015621118 9.808537e-05 7.530096e-05 0.00017726888 0.00076077465 0.00016367997 0.0006419483 0.0012740882 0.0010767935 0.00021885299 0.00019944026 0.00020179022 0.00050667225 0.00043780816 0.00019749899 0.00031479273 0.0007845808 6.304029e-05 7.530096e-05 0.000114535105 0.0003816134 0.00014569765 0.00038825462 0.0007522944 0.061081234 0.061081644 0.06092726 0.060973138 0.061090432 0.06099061 0.06104772 0.061036587 0.061288647 0.061048236 0.060947083 0.060920518 0.060985092 0.061284967 0.060986113 0.061084095 22351.0 5.6941075 127269.0 0.011063181 0.009955292 0.0103717325 0.010143869 0.010293159 0.01016744 0.010395304 0.009994579 0.010002436 0.010073152 0.00990029 0.01019887 0.009876718 0.010324588 0.010136011 0.009892433 0.010442449 0.010191013 0.00990029 0.010631026 0.0103717325 0.010269587 0.009986721 0.01004958 0.009963149 0.010395304 0.010599596 0.010104582 0.009947434 0.010693884 0.010418877 0.010591739 0.010096724 0.011047467 0.010191013 0.01034816 0.011778202 0.010238157 0.011298902 0.010764601 0.009813859 0.010764601 0.009829573 0.009978863 0.010835317 0.01016744 0.011102468 0.009829573 0.011000322 0.010686027 0.010057437 0.010269587 0.010434591 0.010466021 0.009821716 0.010418877 0.010686027 0.010151726 0.010356017 0.010136011 0.009806002 0.010481736 0.010073152 0.010576024 0.010293159 0.011133897 0.010670313 0.010961035 0.010458163 0.011801775 0.010222442 0.0103717325 0.010906033 0.010921748 0.009978863 0.010356017 0.01115747 0.010623168 0.010866747 0.0108431745 0.010670313 0.010026008 0.011141755 0.010654598 0.011848918 0.010340303 0.010261729 0.010073152 0.010521023 0.00990029 0.010285301 0.010340303 0.0108431745 0.010112439 0.01049745 0.010065295 6.5836725 0.0 0.0 0.0 67.0 4894958.0 131072.0 0.0 0.0 105.0 0.0 1.0 0.0 0.0 0.0 1290097700.0 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 82944.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82944.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.109855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4438212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.538919 0.0 3.8093817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 15526.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82890.0 0.0 6696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 103316.0 6696.0 122880.0 0.0 0.0 6928.0 13464528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 90112.0 0.0 0.0 0.0 0.0