Input: 0.20703137 0.019899 0.08117055 0.027958307 0.06861711 0.019920519 0.058915097 0.012223465 0.008224297 0.006893633 0.027990589 0.007854868 0.007402944 0.0064201886 0.0050142035 0.002076698 0.0036153912 0.012492468 0.003536484 0.008834036 0.0043685976 0.0021448452 0.008686982 0.011251471 0.0049424693 0.002596769 0.0019655104 0.0024891682 0.001079596 0.0012266506 0.00269361 0.009486815 0.0024497146 0.0006922326 0.0013737052 0.00081418036 0.0017180282 0.0035544173 0.0031814007 0.0008966744 0.021728214 0.0009468882 0.018317265 0.0058678375 0.008550687 0.0060651056 0.0040278616 0.001423919 0.005606008 0.0014418524 0.0024030874 0.0033786693 0.0020946313 0.0022667928 0.0018650828 0.0007209262 0.003141947 0.001423919 0.0015315199 0.0013485983 0.0010760092 0.001054489 0.0013127313 0.0012409973 0.0010724226 0.0009289547 0.00095764827 0.0005308312 0.0007316863 0.0015351066 0.00085004733 0.0005595248 0.0005164845 0.0008608074 0.001352185 0.0005308312 0.0005631115 0.00081418036 0.00067429914 0.0005953918 0.0007639666 0.0008608074 0.0013701185 0.0014669594 0.0017108548 0.0004949643 0.0007424464 0.0005523514 0.007919429 0.0037911395 0.0016104273 0.00084646064 0.00033714957 0.00064560556 0.0007424464 0.0010509024 0.001054489 0.0005953918 0.0009540616 0.0005415913 0.00040171013 0.00037660325 0.0010724226 0.0005164845 0.0004662707 0.001115463 0.0012266506 0.0004555106 0.0005702849 0.00063125876 0.0011477432 0.024045222 0.008195604 0.0005415913 0.00812387 0.0049532293 0.0013199047 0.0010652492 0.00064201886 0.00042681702 0.000545178 0.00041247022 0.0028657715 0.031383604 0.0050142035 0.012158905 0.002847838 0.0006204987 0.00096482167 0.0006097386 0.0005308312 0.00034432297 0.00077114 0.00037301655 0.00036942985 0.00024748215 0.0002941092 0.00035866976 0.0005631115 0.00035508306 0.00082494045 0.0013916387 0.0009397148 0.0016570543 0.00040529683 0.0017359616 0.0007029927 0.0016821612 0.00048420418 0.0011226364 0.0008608074 0.0027330637 0.00068864593 0.0007029927 0.0009110212 0.00062767207 0.0010222088 0.0044439184 0.00084646064 0.00065995235 0.0004555106 0.00063843216 0.002453301 0.00084287394 0.0004770308 0.00063843216 0.0004304037 0.0004483372 0.00032280278 0.00031921608 0.00034073627 0.00048061748 0.0002761757 0.00032638948 0.000735273 0.0002690023 0.00033714957 0.0005021377 0.0005093111 0.0004339904 0.0010616624 0.0005128978 0.00033356287 0.00040888353 0.0012840377 0.0004304037 0.0004770308 0.00032638948 0.0004447505 0.0005487647 0.0004913776 0.00066353905 0.00041964362 0.0004447505 0.000616912 0.00062767207 0.00078907347 0.00064919225 0.00039095004 0.00032280278 0.00039812343 0.0007603799 0.00068505923 0.00064919225 0.0002976959 0.00042323032 0.0004770308 0.00035866976 0.0011441566 0.00079624687 0.000699406 0.00083211384 0.0002905225 0.00034432297 0.00065277895 0.00031921608 0.00040888353 0.00017574818 0.00037301655 0.0002869358 0.0007316863 0.0004698574 0.001398812 0.00038377664 0.0007747267 0.00031562938 0.0002905225 0.0004734441 0.00032280278 0.00035508306 0.000498551 0.0002976959 0.00039095004 0.0004411638 0.0006025652 0.0002797624 0.00063484546 0.00033714957 0.0002690023 0.0003048693 0.00031562938 0.00036225645 0.00033714957 0.00031921608 0.00032280278 0.0003048693 0.0002797624 0.00040529683 0.00036584315 0.00066712574 0.00041247022 0.00038736334 0.00033356287 0.0004662707 0.002220166 0.0030415196 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024215868 0.00021801487 0.00037837293 8.107991e-05 9.549412e-05 8.107991e-05 9.549412e-05 0.00020179889 1.9819534e-05 1.6215983e-05 9.008879e-06 2.7026637e-05 5.4053276e-06 1.6215983e-05 1.0810655e-05 1.26124305e-05 0.15364644 0.017439388 0.021558248 0.0070305294 0.0037675132 0.0051747 0.009428693 0.020551056 0.0023387051 0.003190945 0.00151169 0.0019351073 0.001799974 0.0018792521 0.0015405184 0.0018197936 0.3485265 0.050211888 0.04856146 0.019208733 0.0075764675 0.014138535 0.02337624 0.05096503 0.0069674673 0.013443049 0.0059098247 0.0056197387 0.005466588 0.005650369 0.0041440846 0.006470177 0.057970334 0.012376398 0.00990256 0.0053296527 0.0014504296 0.005090017 0.0019999712 0.008307989 0.0012035862 0.0028269864 0.0015315094 0.0010756602 0.00087386125 0.0015531308 0.0007945831 0.0021044742 0.0046738065 0.0013549355 0.0011116957 0.00029188767 0.00016936693 0.0004846777 0.00025585218 0.001117101 9.1890564e-05 0.00023423086 0.0005153079 0.00010810655 0.00019819534 0.00020360066 0.000102701226 0.0001567545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68.0 5.647059 384.0 0.041666668 0.013020833 0.0 0.0026041667 0.044270832 0.0 0.0052083335 0.0026041667 0.0026041667 0.0026041667 0.026041666 0.028645834 0.0052083335 0.0078125 0.052083332 0.0026041667 0.0 0.0 0.010416667 0.0390625 0.0026041667 0.0078125 0.0052083335 0.0 0.0052083335 0.0 0.0026041667 0.0052083335 0.013020833 0.0026041667 0.015625 0.0 0.0026041667 0.0026041667 0.018229166 0.0026041667 0.0026041667 0.0026041667 0.0026041667 0.0 0.0026041667 0.0026041667 0.0 0.0 0.0 0.0026041667 0.0 0.010416667 0.0 0.0078125 0.0 0.010416667 0.036458332 0.013020833 0.0 0.0026041667 0.0052083335 0.0052083335 0.0052083335 0.059895832 0.0026041667 0.015625 0.0026041667 0.0026041667 0.0078125 0.0052083335 0.0052083335 0.0078125 0.0052083335 0.013020833 0.0052083335 0.013020833 0.0052083335 0.080729164 0.080729164 0.0026041667 0.0026041667 0.010416667 0.015625 0.010416667 0.0078125 0.010416667 0.059895832 0.018229166 0.0078125 0.0026041667 0.0 0.0026041667 0.0026041667 0.0 0.0052083335 0.0 0.0 0.044270832 0.0 0.0 5.353191 0.0 0.0 0.0 1.0 278808.0 1122304.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3791485000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 1095680.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1095680.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5837603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1095316.0 0.0 1016.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 1103424.0 1016.0 1105920.0 0.0 0.0 0.0 0.0 12.0 1114112.0 56.0 1103328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.5680339 0.008219401 0.004801432 0.004014757 0.006293403 0.0018988715 0.0013563368 0.0008951823 0.0069444445 0.00094943575 0.0029568141 0.0007595486 0.0033094618 0.002170139 0.0007324219 0.0027398004 0.0043945312 0.00056966144 0.00043402778 0.00043402778 0.0020345051 0.0036078559 0.0007052951 0.00094943575 0.001844618 0.0003797743 0.00024414062 0.0003797743 0.0011664496 0.00048828125 0.00024414062 0.00018988716 0.008707683 0.0005967882 0.0038791234 0.000922309 0.00664605 0.0005967882 0.00027126737 0.00013563369 0.0004611545 0.00032552084 0.0004611545 0.0007052951 0.00040690103 0.00062391494 0.0017089844 0.0003797743 0.0023328993 0.00048828125 0.000922309 0.002170139 0.0007052951 0.0014919705 0.00062391494 0.0007866754 0.000922309 0.0013020834 0.00018988716 0.0024414062 0.001030816 0.0008951823 0.000515408 0.0014105903 0.018473307 0.0024414062 0.0004611545 0.004340278 0.007405599 0.0033094618 0.0024142796 0.0021972656 0.001546224 0.0015733507 0.0007595486 0.0003797743 0.0039876304 0.004231771 0.0010036892 0.0011393229 0.0076497397 0.0020345051 0.0019802516 0.002983941 0.001953125 0.0017089844 0.0038791234 0.0031467015 0.0017089844 0.0029296875 0.00040690103 0.002061632 0.001437717 0.0023600261 0.0016818576 0.0033908421 0.0018717448 0.0034993489 0.0008409288 0.0014919705 0.002983941 0.0065104165 0.001030816 0.0011393229 0.0049913195 0.0039333766 0.0053982204 0.0008951823 0.0036078559 0.0016004774 0.0036349827 0.0036078559 0.0016818576 0.00021701389 0.0048285592 0.0026041667 0.008436415 0.007595486 0.00086805556 0.0007866754 0.001030816 0.0012749566 0.00040690103 0.00018988716 0.0010036892 0.0009765625 0.00043402778 8.138021e-05 0.0035536024 0.0015190972 0.00062391494 0.007595486 0.0022243923 0.0035536024 0.00018988716 0.000108506945 0.0030110676 0.0055067274 0.0023871528 0.01171875 0.00062391494 0.0057779946 0.00086805556 0.0010850695 0.0029568141 8.138021e-05 0.000108506945 0.00013563369 0.00040690103 0.0007052951 0.000108506945 5.4253473e-05 0.00040690103 5.4253473e-05 0.00016276042 0.00013563369 0.00040690103 8.138021e-05 0.00024414062 0.000108506945 0.0007866754 0.0012207031 0.00024414062 0.0007595486 0.00040690103 0.00056966144 0.00013563369 2.7126736e-05 0.0002983941 0.00027126737 0.00013563369 0.00040690103 0.0002983941 0.000108506945 8.138021e-05 8.138021e-05 0.00048828125 5.4253473e-05 0.00027126737 0.00013563369 0.00032552084 0.00013563369 0.00048828125 0.00013563369 0.0007052951 0.00013563369 0.00048828125 0.0002983941 0.00035264756 8.138021e-05 0.00032552084 0.00054253475 0.004340278 0.0021430121 0.0006781684 0.0032823351 0.0024142796 0.00016276042 0.00094943575 0.001844618 0.0008951823 0.0008951823 0.00035264756 0.00013563369 0.0030381945 0.00013563369 0.00027126737 0.00035264756 0.0007324219 0.00062391494 0.0007324219 0.0007324219 0.0004611545 0.00013563369 0.00024414062 0.00027126737 0.0008409288 0.00021701389 0.00032552084 0.00056966144 0.00032552084 5.4253473e-05 0.00024414062 0.00021701389 0.0011664496 0.0003797743 0.00024414062 0.00021701389 0.00062391494 8.138021e-05 0.00021701389 0.000108506945 0.0041503906 0.0020345051 0.00027126737 0.0026855469 0.0018174914 8.138021e-05 0.0003797743 0.00054253475 0.0014648438 0.00032552084 0.00094943575 0.0010579427 0.0007052951 0.00021701389 0.0011935764 0.0012207031 0.0021158855 0.0008409288 0.0005967882 0.00040690103 0.0026312934 0.00040690103 0.0018174914 0.017496744 0.22857143 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050013952 0.00029296876 0.00053013396 0.0007393973 0.00089285715 0.0006417411 0.0023716518 0.0010602679 4.185268e-05 1.3950893e-05 4.185268e-05 0.00012555804 4.185268e-05 2.7901786e-05 0.0002511161 5.580357e-05 0.04598214 0.0007114955 0.0035574776 0.00033482144 0.00086495536 0.0006417411 0.00011160714 0.00016741072 0.0010044643 0.00016741072 0.0002092634 5.580357e-05 0.00029296876 0.00018136161 0.00013950893 0.0027204242 0.08967634 0.0010602679 0.0016462053 0.0017020089 0.003780692 0.0018973214 0.0055385046 0.003529576 0.001688058 0.0004045759 0.00034877233 0.00048828125 0.00082310266 0.000390625 0.0006138393 0.00069754466 0.01703404 0.0 0.0007393973 0.0001953125 0.0053850445 0.0036690847 0.0011021205 0.00044642857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018150112 0.00016741072 0.0012834822 0.0007952009 0.00027901787 0.001171875 0.0040597096 0.001953125 8.370536e-05 0.00011160714 6.975447e-05 5.580357e-05 9.765625e-05 8.370536e-05 5.580357e-05 0.00015345983 0.017592076 8.370536e-05 0.003250558 0.00072544644 0.00069754466 0.00044642857 0.0017159599 0.00078125 0.00051618303 0.0 1.3950893e-05 4.185268e-05 0.00011160714 2.7901786e-05 6.975447e-05 0.00249721 0.042940848 0.0016183036 0.002608817 0.0009347098 0.009612165 0.0077287946 0.008440291 0.0043945312 0.0021344866 0.0011997768 0.000390625 0.00026506698 0.0011858259 0.00055803574 0.00048828125 0.0012137276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0085518975 0.00027901787 0.0015345982 0.0011579241 0.0015764509 0.0027622767 0.0073242188 0.003780692 0.00018136161 0.0001953125 0.00013950893 0.00015345983 0.00018136161 0.00016741072 0.00013950893 0.00044642857 0.011383928 0.0007114955 0.0007672991 0.0008370536 0.0029017858 0.0013113839 0.00047433036 0.0010463169 0.0035435269 0.0004185268 0.0002511161 0.00012555804 0.0016043527 0.00036272322 0.00085100444 0.0019810267 0.059179686 0.009807478 0.008342634 0.007952009 0.02296317 0.016462054 0.013211495 0.010239955 0.02998047 0.0028738838 0.00327846 0.0029436385 0.012444196 0.0032924106 0.009095982 0.016503906 0.018847656 0.0035993303 0.0030970983 0.0030970983 0.008063616 0.005496652 0.003362165 0.005608259 0.012569754 0.0009347098 0.0012137276 0.0007533482 0.005691964 0.0017996652 0.0034877232 0.008091518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 205.0 13.570732 2782.0 0.052120775 0.0007189073 0.019051043 0.00035945364 0.0017972682 0.0007189073 0.0 0.0 0.0007189073 0.0007189073 0.0014378146 0.0007189073 0.0 0.004672897 0.0053918045 0.00035945364 0.0075485264 0.002875629 0.005751258 0.002875629 0.0007189073 0.0025161754 0.0053918045 0.0017972682 0.002156722 0.002875629 0.0007189073 0.0007189073 0.002156722 0.001078361 0.00035945364 0.00035945364 0.005751258 0.016534867 0.0032350826 0.048166785 0.031991374 0.016534867 0.006829619 0.010064702 0.005751258 0.0075485264 0.00035945364 0.0014378146 0.02588066 0.02983465 0.0061107115 0.009705248 0.013299785 0.001078361 0.015097053 0.018332135 0.014018691 0.0061107115 0.012221423 0.011143062 0.0017972682 0.004313444 0.0007189073 0.01689432 0.005032351 0.016534867 0.0007189073 0.023005033 0.0007189073 0.03378864 0.004313444 0.011502516 0.016534867 0.06757728 0.0061107115 0.01186197 0.010424156 0.03558591 0.002156722 0.002875629 0.02659957 0.010783609 0.039899353 0.039180446 0.01294033 0.0007189073 0.041696623 0.02264558 0.045650613 0.017613228 0.0035945363 0.005751258 0.0061107115 0.0061107115 0.0017972682 0.0 0.0 0.0 0.0007189073 0.0 5.58945 2.0 0.0 0.0 1.0 36864.0 32768.0 0.0 0.0 59.0 0.0 1.0 0.0 0.0 0.0 1067600600.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.369788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0138664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.493053 0.0 3.468679 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2602.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12830.0 0.0 1792.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21636.0 1792.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.2935933 0.013660519 0.0073639625 0.0071595656 0.009771302 0.0039289608 0.003304415 0.0029637536 0.010185774 0.0026969023 0.0025606377 0.0021972656 0.006466888 0.002719613 0.001771439 0.0054960027 0.007840889 0.0014137445 0.0012945131 0.0013512899 0.0053029615 0.0035315226 0.0015216207 0.0008800418 0.0031624727 0.001623819 0.0011241824 0.0008857195 0.0023789518 0.0013001908 0.00065861194 0.0013285793 0.0065463753 0.0010276617 0.00068132265 0.0010560502 0.0095782615 0.0008289426 0.00049963663 0.0008232649 0.0018225382 0.0005223474 0.00047692587 0.0015386537 0.001442133 0.0009595294 0.0010390171 0.000510992 0.004036837 0.0019304142 0.0017430505 0.00668264 0.0030034974 0.0023392078 0.0016635628 0.001697629 0.0034293241 0.0032192497 0.0017146621 0.0053086393 0.0023221748 0.0022540425 0.0014875545 0.0017884721 0.008295104 0.014705215 0.0056095566 0.0028445222 0.006552053 0.008408657 0.0036053325 0.0026401253 0.002611737 0.0026855469 0.0011696039 0.0008175872 0.003321448 0.004950945 0.0023108195 0.001186637 0.007522938 0.00255496 0.002662836 0.004326399 0.0028615552 0.003395258 0.005672011 0.007068723 0.0021348111 0.0038778617 0.00059615733 0.0016067859 0.0013740007 0.0024584392 0.0029807866 0.0030091752 0.0016749182 0.004110647 0.0013229016 0.0026401253 0.0035542333 0.00840298 0.002736646 0.0012320585 0.0034350017 0.0033895804 0.004820358 0.00068700034 0.0043661427 0.0017430505 0.0033611918 0.004598928 0.0035826217 0.00059047964 0.005842342 0.0033611918 0.014427007 0.011412155 0.0016522075 0.0013456122 0.002151844 0.0015102653 0.00064725656 0.0006188681 0.0028047783 0.0033100927 0.0012377362 0.0017203398 0.0065406975 0.0024470838 0.000510992 0.012059411 0.0031113736 0.0066315406 0.0005620912 0.0003633721 0.0025833484 0.009294377 0.002061001 0.02495912 0.0016749182 0.0074377726 0.0006245458 0.00064725656 0.002004224 0.0004598928 0.0003009175 0.00047124818 0.0011014716 0.0014761991 0.0003009175 0.00021575218 0.00085733103 0.0005337028 0.00073809957 0.00057912426 0.0007778434 0.00064157887 0.00048260356 0.00054505817 0.0009765625 0.001697629 0.0003974382 0.0010674056 0.00091410795 0.0009652071 0.0006302235 0.0003179506 0.0011639262 0.00036904978 0.00034633902 0.00064725656 0.0010390171 0.0003633721 0.0003520167 0.00068700034 0.0016124636 0.00033498366 0.00059615733 0.00024981832 0.00090843026 0.00038040517 0.00085165334 0.00074377726 0.0019928687 0.00046557048 0.00046557048 0.00047124818 0.0009595294 0.00027252908 0.0006983557 0.00066428963 0.007818177 0.0028956214 0.002100745 0.004826036 0.0034974564 0.0007778434 0.0028615552 0.0039573493 0.002157522 0.0022597201 0.0010446948 0.0006359012 0.011088527 0.0005393805 0.0008289426 0.00068700034 0.0016862736 0.0013740007 0.0012831577 0.001260447 0.001004951 0.00042582667 0.0008119095 0.0006699673 0.0016635628 0.0006245458 0.000510992 0.0009992733 0.0012377362 0.0003576944 0.00046557048 0.00034633902 0.0027423238 0.00069267803 0.00068132265 0.00039176055 0.0019247365 0.00045421513 0.00059047964 0.0004087936 0.011219113 0.0023903071 0.00059615733 0.004161746 0.0030773075 0.00039176055 0.00059615733 0.0005620912 0.0031567952 0.00094249635 0.00065293425 0.0010163063 0.0019871911 0.00036904978 0.0025152161 0.0019985465 0.003917605 0.0012547693 0.0007267442 0.0009197856 0.0038324401 0.0011525708 0.0026344478 0.043224245 0.040935673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005662349 1.1421784e-05 2.855446e-06 9.9940604e-05 0.0 0.0 0.0 0.0 0.0 5.710892e-06 5.710892e-06 1.7132676e-05 1.7132676e-05 5.710892e-06 8.566338e-06 1.1421784e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005182634 3.9976243e-05 4.283169e-05 3.1409905e-05 0.00010279605 1.9988121e-05 0.00010279605 6.85307e-05 9.422971e-05 3.1409905e-05 8.566338e-06 2.855446e-06 3.9976243e-05 2.855446e-06 1.7132676e-05 5.9964364e-05 0.027780633 0.00042831688 0.0006281981 9.422971e-05 0.00042546145 0.00035978618 0.0008280793 0.0004540159 0.00017132676 6.85307e-05 8.851882e-05 9.9940604e-05 0.00013991685 8.280793e-05 7.9952486e-05 0.0033580044 0.0320638 0.0017218338 0.00096228527 0.0005139803 0.0011707328 0.0004168951 0.0010193941 0.0006910179 0.00087947736 0.00021130299 0.00023129112 0.00018274854 0.00022843567 0.0002055921 0.00016561586 0.00027126737 0.042420503 0.0033951253 0.001581917 0.0010622259 0.002010234 0.0006396199 0.0017532437 0.0013991685 0.0011107684 0.00022272478 0.00020273666 0.000262701 0.0002484238 0.0002998218 0.00031409904 0.001556218 0.023131967 0.0012049981 0.0009080318 0.00065675256 0.002304345 0.0005139803 0.0017189784 0.0009822734 0.00034550895 0.00026555647 0.00010279605 0.00012849507 0.000105651496 0.00014277229 0.00012278417 0.002452828 0.010964912 9.708516e-05 0.00019988121 0.00016561586 0.001267818 0.00021415844 0.0005539565 0.00040261788 0.0002798337 0.00022843567 0.00015133864 0.00019417032 0.0004111842 0.00019988121 0.00028268914 0.0019302814 0.018411916 0.000633909 0.0018731725 0.0024728163 0.00509126 0.0021872716 0.0081380205 0.0046201115 0.0006196318 0.0002798337 0.0003169545 0.0003055327 0.0006624634 0.0002684119 0.00031409904 0.0005882219 0.019225717 0.0014220121 0.0021787053 0.0011707328 0.0031267132 0.0019217151 0.008403577 0.005082694 0.0009908397 0.00039119608 0.00038834065 0.00039690698 0.00042546145 0.00035978618 0.00029696638 0.0010022615 0.01440858 0.0017732319 0.002241525 0.017204061 0.004168951 0.0025584796 0.005905062 0.0044173747 0.0018988715 0.0011164794 0.0011564556 0.001082214 0.0012649625 0.0013163605 0.0011393229 0.0026755529 0.014894006 0.002452828 0.000736705 0.001370614 0.007832488 0.00720429 0.008874726 0.0055252877 0.0009794179 0.00071100605 0.00057108916 0.0007966694 0.0005453902 0.00060821 0.000659608 0.004717197 0.04029605 0.006359078 0.0055167214 0.004962765 0.013620477 0.011564556 0.0039976244 0.0083893 0.023057725 0.0017132675 0.002118741 0.002509937 0.01607045 0.0032380756 0.007178591 0.0131493285 0.07760816 0.016216077 0.012572528 0.015059622 0.030941611 0.026769806 0.01088496 0.024419773 0.051549364 0.006287692 0.0066503333 0.005705181 0.028011924 0.008058068 0.02045356 0.038928293 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1256.0 14.988853 18826.0 0.031977054 0.0011154786 0.0011685967 0.0007436524 0.0041963244 0.0014341867 0.00090300647 0.0046212683 0.0027621374 0.00090300647 0.0007436524 0.0014873048 0.0026027835 0.0036120259 0.0050462126 0.0008498884 0.012535854 0.0073834057 0.007595878 0.008498885 0.007967704 0.005736747 0.0073302877 0.007648996 0.010942314 0.0072771697 0.0058961012 0.006108573 0.0064803995 0.0046743867 0.0036651439 0.0072771697 0.010039307 0.021672156 0.0036651439 0.01614788 0.022256454 0.012323382 0.007967704 0.012429618 0.0049399766 0.016519707 0.0011154786 0.0033995537 0.009667481 0.0063741636 0.012535854 0.006161691 0.016200999 0.0027621374 0.012907681 0.019016255 0.012057792 0.005311803 0.014076278 0.03558908 0.007436524 0.00377138 0.0015404228 0.0015935409 0.0026559015 0.0015935409 0.0014341867 0.0091363005 0.003824498 0.034101773 0.007489642 0.021725273 0.017582068 0.06475088 0.0066928715 0.008658239 0.007489642 0.027249549 0.0046212683 0.0029746096 0.030117922 0.012801445 0.0279932 0.03936046 0.020875385 0.0012217147 0.041272707 0.023265697 0.0506746 0.01508552 0.0058429833 0.003877616 0.008339531 0.008180176 0.0024965473 0.0008498884 0.0018060129 0.0010623606 0.0010623606 0.0011685967 5.897032 3.0 0.0 7.0 4.0 176128.0 188416.0 1.0 0.0 63.0 1.0 1.0 0.0 0.0 0.0 1231190000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 106496.0 4096.0 4096.0 8.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5342736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.048947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7867174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.362913 0.0 4.519107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6572.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19514.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94945.0 0.0 27844.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 165092.0 27844.0 114688.0 0.0 0.0 0.0 0.0 6572.0 180224.0 28.0 82544.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 90928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.10057867 0.013679171 0.002258405 0.0018219984 0.0013681353 0.0032621408 0.0015732466 0.0008859058 0.0021689418 0.0006371539 0.0007004329 0.0007353455 0.0011957546 0.002760273 0.0020249276 0.0051845126 0.0050383164 0.0030439375 0.003973484 0.0043815244 0.0037421882 0.0075476556 0.0045822714 0.0049008485 0.0064108158 0.005252156 0.004573543 0.0052914326 0.0050950493 0.0049706735 0.0040956778 0.006216615 0.0066530216 0.0054201726 0.004427347 0.0052827043 0.010430123 0.0061293337 0.0033930629 0.0051670563 0.0047830185 0.004933579 0.0034497958 0.0058762175 0.0031923158 0.004632458 0.004244056 0.004032399 0.005313253 0.005260884 0.008280819 0.010604685 0.012167022 0.0131271165 0.014394878 0.0121866595 0.0088481475 0.008629944 0.009363108 0.015680097 0.0122303 0.011209109 0.008658311 0.0072989035 0.008917973 0.014735276 0.010691967 0.0016583458 0.0034367035 0.0023304124 0.0012437594 0.0012786719 0.02142321 0.0029195615 0.0013746815 0.001470691 0.004302971 0.002055476 0.001597249 0.002051112 0.003142129 0.002367507 0.0021100268 0.0022845897 0.0029719304 0.002760273 0.0025813463 0.002502793 0.002878103 0.0025791642 0.0023129561 0.0019027337 0.0023282303 0.0015688825 0.0016365255 0.002186398 0.0010059177 0.0011062912 0.00041240442 0.0010451943 0.0011892086 0.0027079042 0.00080298854 0.0009884614 0.0008466292 0.0015863387 0.0002443878 0.00029239256 0.0013026743 0.0005498726 0.0009710051 0.0011433858 0.0015863387 0.00021602136 0.0016343435 0.0011673882 0.0039320253 0.0020052893 0.00043858885 0.000449499 0.001219757 0.00048004749 0.0002945746 0.0003076668 0.0007309814 0.00034912545 0.0003011207 0.00025311596 0.0021602137 0.0005913312 0.0004625912 0.0029086513 0.0009470028 0.003087578 0.0007440736 0.00042113257 0.000641518 0.0044098906 0.00048222952 0.011490591 0.00065024616 0.0034934364 0.00031203087 0.0002945746 0.00097318715 0.0002640261 0.00027711832 0.0004036763 0.00047786545 0.00030984884 0.00027275426 0.00044513494 0.00045604512 0.0002640261 0.0003076668 0.00048004749 0.0005651468 0.0006829766 0.00021602136 0.00023784171 0.0008553573 0.00039276612 0.00037749187 0.00036658172 0.00043640682 0.00033603323 0.00039713018 0.00037094578 0.0005062319 0.00029675663 0.00033821526 0.00027275426 0.00048441155 0.0002749363 0.0003403973 0.0003731278 0.0005891492 0.00028148238 0.0003338512 0.00025311596 0.00047786545 0.00024002374 0.00049750373 0.00036658172 0.0011761163 0.001088835 0.00050841394 0.00033603323 0.00054114446 0.00024656983 0.00022911358 0.00036658172 0.0035501693 0.0010822889 0.0008531753 0.0020402018 0.0015645184 0.00026184408 0.0005280522 0.0014488706 0.0011172014 0.0010975631 0.00051496003 0.00068952277 0.008865604 0.00037530984 0.00084226514 0.0007811682 0.0016430716 0.00066988444 0.0011761163 0.0006131516 0.00054769055 0.00049750373 0.0006153336 0.0005215061 0.0011084733 0.00064588204 0.00049968576 0.0009055441 0.0006546102 0.0004625912 0.00044731697 0.0008204448 0.0010953811 0.0005280522 0.0003338512 0.000641518 0.0006153336 0.00053023425 0.0005520546 0.0009797333 0.037871383 0.01194009 0.01004172 0.0036832734 0.011137102 0.017161697 0.007008693 0.00048441155 0.0013441329 0.00052368816 0.000576057 0.0005324163 0.00034476139 0.00031639493 0.00051714206 0.0004625912 0.0011237476 0.0005389624 0.0006589743 0.0004036763 0.0003796739 0.0006524282 0.0013768635 0.17810634 0.015673172 5.474005e-06 7.663607e-06 2.1896021e-06 2.1896021e-06 0.0 1.0948011e-06 0.0 1.0948011e-06 0.0 2.1896021e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019410822 0.024959274 2.2990822e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008951093 0.0040573324 0.002569498 0.012355925 1.9706418e-05 4.379204e-05 2.6275224e-05 7.663607e-06 1.7516817e-05 1.6422015e-05 2.6275224e-05 4.7076443e-05 0.0002069174 2.2990822e-05 4.7076443e-05 1.2042811e-05 0.0051871673 0.010011955 0.0042730086 0.0094339 0.002938446 9.4152885e-05 7.3351664e-05 0.00014889294 9.853209e-05 4.7076443e-05 0.000116048905 8.211008e-05 0.00015655655 0.000114954106 9.196329e-05 2.9559627e-05 0.0059217787 0.006238176 0.0040036873 0.005690776 0.006387069 9.196329e-05 7.3351664e-05 8.101528e-05 8.539448e-05 0.0003207767 5.0360846e-05 4.1602438e-05 3.9412836e-05 3.9412836e-05 4.1602438e-05 6.459326e-05 0.0058987876 0.0074358885 0.004313516 0.0048204088 0.04060398 0.0068238946 0.011818377 0.0010378713 0.00064374297 0.00041930878 9.853209e-05 5.364525e-05 8.101528e-05 7.992047e-05 4.8171245e-05 0.00015327214 0.022465317 0.011408921 0.0040803235 0.0040803235 0.009335368 0.004830262 0.002931877 0.0008276696 0.0005539693 0.0006678286 0.00018392658 0.00017407336 0.00029121706 0.00024961462 0.00023319261 0.0100502735 0.012881429 0.018921446 0.010726861 0.013687202 0.040032495 0.012780707 0.00965505 0.005962286 0.0032592225 0.0010750946 0.0011725319 0.00078716193 0.00083642796 0.0008736512 0.0012699692 0.040872205 0.048850022 0.017446749 0.013245997 0.015108254 0.049919643 0.01774782 0.0047766166 0.0019936326 0.0018699202 0.001584177 0.0017374492 0.0013794493 0.0014057244 0.002007865 0.0026264277 0.041797314 0.05629467 0.0043923417 0.0017626296 0.0018239385 0.004263155 0.002740287 0.000660165 0.00060870935 0.00046200602 0.0005824341 0.0007751191 0.001029113 0.0005222201 0.0007816879 0.00092839124 0.0041996567 0.00585828 0.0028650942 0.0013991557 0.001711174 0.0013739753 0.002278281 0.0004258776 0.00068096624 0.0007718347 0.0013290885 0.00014013454 0.00035690513 0.00015655655 0.0007959203 0.00028683787 0.0011561099 0.0022093083 0.03669554 0.0072541516 0.01235045 0.0077150627 0.032562666 0.0070406655 0.0032482746 0.006443999 0.025547182 0.0019596939 0.0020560364 0.0033479014 0.01958161 0.0055659683 0.006061913 0.013151845 0.0030479261 0.000632795 0.0010258285 0.0010302077 0.0015907459 0.0006306054 0.0013356572 0.0010083118 0.001480171 0.00027698465 0.00033829352 0.00039741278 0.0010575778 0.0006262262 0.00047295404 0.00074336986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 592.0 14.385135 8516.0 0.021723814 0.0007045561 0.005871301 0.00035227806 0.017613903 0.0005871301 0.00035227806 0.00035227806 0.0024659464 0.0010568342 0.00035227806 0.0019962424 0.0009394082 0.005284171 0.015852513 0.009394081 0.019727571 0.010685768 0.006928135 0.01209488 0.004344763 0.0017613904 0.0021136685 0.0021136685 0.0049318927 0.0046970407 0.0041099107 0.0036402068 0.004344763 0.0028182245 0.004344763 0.004227337 0.017848756 0.0406294 0.0012916862 0.017261624 0.014678253 0.01033349 0.0035227807 0.005284171 0.020549554 0.00798497 0.00023485205 0.0010568342 0.010098638 0.0038750586 0.0015265383 0.0038750586 0.005636449 0.0018788164 0.004227337 0.0144434 0.0092766555 0.011038046 0.017966181 0.0171442 0.0025833724 0.00035227806 0.0022310945 0.0023485203 0.003992485 0.005636449 0.0085721 0.018201033 0.0024659464 0.025833724 0.004579615 0.0315876 0.023015501 0.07057304 0.0085721 0.015147957 0.008689526 0.04509159 0.0004697041 0.0014091122 0.025833724 0.014795679 0.028064819 0.035814937 0.01831846 0.0009394082 0.043212775 0.028534524 0.056481916 0.017026773 0.004344763 0.008337247 0.005519023 0.00798497 0.0010568342 0.0005871301 0.0015265383 0.00082198216 0.0 0.0 5.7324657 0.0 20.0 0.0 3.0 458288.0 471040.0 0.0 0.0 152.0 1.0 1.0 1.0 0.0 0.0 1541750100.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 89088.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38912.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 310272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3706923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.487752 0.0 0.0 0.0 0.0 5.149166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5952718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.184874 0.0 5.565784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38462.0 0.0 0.0 0.0 0.0 8016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89036.0 0.0 309872.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -2.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 126352.0 309872.0 155648.0 8016.0 147456.0 7728.0 450560.0 1400.0 466944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 110000.0 0.0 0.0 3224.0 94208.0 0.0 0.0 0.0 0.0


Input: 0.34498233 0.009009952 0.0056036087 0.0046154205 0.01163737 0.0019182478 0.0018833706 0.00088355655 0.007859003 0.0010114397 0.0012439546 0.0008370536 0.0048363097 0.001906622 0.00067429314 0.0026739212 0.005894252 0.0009300595 0.00074404763 0.000906808 0.0027901786 0.0072079613 0.0008719308 0.0002906436 0.0026506695 0.000953311 0.0009881882 0.0010579427 0.0032087055 0.00055803574 0.00027901787 0.0004185268 0.004464286 0.0002906436 0.00044177828 0.00043015252 0.024565198 0.002580915 0.00044177828 0.0002906436 0.001860119 0.00033714657 0.00036039806 0.0014415922 0.0018833706 0.00088355655 0.0032435826 0.00031389509 0.0026157924 0.0009416853 0.0015113468 0.0037551154 0.0016508556 0.0011625744 0.0006394159 0.0005347842 0.0010811941 0.0005347842 0.000999814 0.00327846 0.002046131 0.0013950893 0.0007672991 0.0031389508 0.024181549 0.011765253 0.0017206101 0.0019182478 0.009137834 0.0028483074 0.0032552083 0.0014880953 0.0027204242 0.0025111607 0.0006626674 0.00056966144 0.0073707215 0.0020577568 0.0017206101 0.0010695684 0.00819615 0.0044294083 0.003406343 0.004441034 0.0036969867 0.0026041667 0.0055803573 0.0031040737 0.0014299665 0.0009416853 0.0008719308 0.001906622 0.002139137 0.001499721 0.0040225075 0.004499163 0.0009300595 0.0061151413 0.0012555803 0.0041155135 0.007359096 0.008172898 0.0010695684 0.0027204242 0.006231399 0.0055803573 0.0050571985 0.000999814 0.0075683594 0.0015113468 0.0039760047 0.0059407554 0.0027204242 0.0003952753 0.006266276 0.006766183 0.01422991 0.005301339 0.001453218 0.0008951823 0.0023716518 0.0010463169 0.00025576638 9.3005954e-05 0.0013602121 0.00031389509 0.0004766555 0.0002092634 0.0010695684 0.0018717448 0.0018717448 0.011474609 0.004592169 0.004952567 0.00027901787 0.00022088914 0.0020810082 0.009835379 0.0020810082 0.026832217 0.0019182478 0.012613933 0.00034877233 0.00023251488 0.017519996 0.0002092634 0.00019763765 0.00077892485 0.0020577568 0.00027901787 0.00018601191 0.00030226936 0.00080217636 5.812872e-05 0.0001046317 6.975447e-05 0.0006626674 4.6502977e-05 0.00011625744 8.138021e-05 0.00052315847 0.0015229725 0.00017438616 0.00022088914 0.0018019903 0.0011742001 5.812872e-05 6.975447e-05 0.0005812872 6.975447e-05 0.00036039806 0.0005812872 0.00074404763 0.00013950893 0.0021275112 9.3005954e-05 0.0007324219 0.0001046317 8.138021e-05 0.00024414062 0.00051153277 0.00043015252 0.00012788319 0.00015113468 0.0019880023 0.0007672991 0.00011625744 0.00013950893 0.0008254278 0.00032552084 0.00034877233 0.0013137091 0.0073009674 0.002766927 0.0026855469 0.0032319569 0.005719866 0.00062779017 0.0030343193 0.0034644718 0.0021042596 0.0026041667 0.0011858259 0.00081380206 0.005231585 0.0007324219 0.00081380206 0.00036039806 0.0029645648 0.006894066 0.0016276041 0.0016624813 0.0013834635 0.00070917036 0.0006859189 0.0006859189 0.0012323288 0.00043015252 0.00023251488 0.0006045387 0.00070917036 0.0002092634 0.00030226936 0.00023251488 0.000906808 0.0013253348 0.00022088914 0.0001046317 0.0011044457 0.00044177828 0.00056966144 0.00037202382 0.0068824403 0.0039876304 0.00032552084 0.001999628 0.0014183407 0.00037202382 0.00023251488 0.0002092634 0.0017206101 0.0011742001 0.002406529 0.0028948102 0.0007324219 0.00033714657 0.0010230655 0.0031156994 0.0014648438 0.0018019903 0.0015229725 0.0011742001 0.0014415922 0.0012207031 0.0018368675 0.026483444 0.09595021 5.8829064e-06 2.9414534e-05 3.529744e-05 4.1180345e-05 2.9414534e-05 0.00015883848 5.294616e-05 1.1765813e-05 0.0 0.0 1.1765813e-05 0.0 5.8829064e-06 1.764872e-05 3.529744e-05 0.011665803 0.0 5.8829064e-06 1.764872e-05 1.1765813e-05 1.764872e-05 0.00020001883 0.00010000941 0.0 5.8829064e-06 0.0 0.0 5.8829064e-06 0.0 1.1765813e-05 5.8829064e-06 0.011006919 0.0 8.236069e-05 3.529744e-05 0.00014118975 2.9414534e-05 0.0004647496 0.0002470821 5.8829064e-06 0.0 0.0 0.0 0.0 5.8829064e-06 0.0 2.9414534e-05 0.010753953 0.00010589232 0.00010589232 0.00015295557 0.00010589232 4.706325e-05 0.00021766755 0.00010000941 0.000117658135 4.706325e-05 5.8829064e-06 4.1180345e-05 4.1180345e-05 0.00016472138 1.1765813e-05 2.9414534e-05 0.009724445 4.1180345e-05 0.000252965 0.00019413592 0.00031179405 0.00022943335 0.0008942018 0.0003588573 1.1765813e-05 1.1765813e-05 0.0 5.8829064e-06 0.0 0.0 5.8829064e-06 5.8829064e-06 0.009389119 4.706325e-05 0.0002823795 0.00022943335 0.0003353257 0.000252965 0.0010530403 0.00041180346 1.1765813e-05 1.1765813e-05 0.0 1.1765813e-05 0.0 0.0 5.8829064e-06 5.8829064e-06 0.017431052 0.00015295557 0.0004588667 0.00021178465 0.0008236069 0.00030002824 0.0018766472 0.0008353727 8.236069e-05 0.00010000941 7.059488e-05 6.4711974e-05 7.647779e-05 8.236069e-05 0.0006588855 0.0008706702 0.040433217 2.3531626e-05 0.0019119447 0.0012883566 0.0050710654 0.0028943901 0.014771978 0.0055711125 0.000117658135 5.294616e-05 2.3531626e-05 2.3531626e-05 2.3531626e-05 1.764872e-05 4.1180345e-05 2.3531626e-05 0.015283791 0.0005294616 0.0004647496 0.00022355045 0.0014413121 0.0001823701 0.00014707267 0.00020001883 0.00014118975 0.000441218 0.00014707267 0.000188253 0.0009883284 0.0005882907 0.0009412651 0.0021884413 0.023984611 0.0009942112 0.0013060053 0.0012883566 0.006129989 0.0025296498 0.009377353 0.005165192 0.0015589703 0.00038827184 0.0003353257 0.0004941642 0.0024825865 0.00087655307 0.0007883095 0.0025414156 0.008942018 0.00057064195 0.0020060712 0.0041180346 0.012254095 0.004671028 0.01410721 0.010083302 0.0001706043 0.00022943335 0.00021178465 0.00019413592 0.0002882624 0.00024119917 0.00074712915 0.0014060147 0.009212632 0.00020590173 0.00119423 0.0004529838 0.002394343 0.0008000753 0.0046121986 0.0021590267 0.00040003765 0.00021766755 0.0001764872 0.00021178465 0.0001706043 0.000188253 0.0007765437 0.00092361635 0.008259601 0.0004529838 0.0017531061 0.00052357867 0.0035768072 0.0018178181 0.0032003012 0.0021943243 0.003835655 0.0010412745 0.0002823795 0.00057064195 0.0029767507 0.00101186 0.001129518 0.0035179781 0.038427144 0.006177052 0.010218609 0.0062594125 0.0140072005 0.011048099 0.0064594313 0.007312453 0.024961174 0.0058240774 0.0015883847 0.0017295745 0.008365493 0.0039121327 0.0036474022 0.006688865 0.08519626 0.020696066 0.024178747 0.011183405 0.029149802 0.028508566 0.011671687 0.00979504 0.051722515 0.015336738 0.007518355 0.0047180913 0.027732022 0.013554217 0.011924651 0.032656014 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 465.0 18.741936 8715.0 0.006310958 0.0002294894 0.0002294894 0.0002294894 0.024784854 0.00562249 0.0 0.0 0.00057372346 0.0 0.0001147447 0.0001147447 0.00057372346 0.0025243831 0.0042455536 0.00034423408 0.0055077453 0.0039013196 0.008605852 0.0018359151 0.0013769363 0.00057372346 0.0010327023 0.0010327023 0.0010327023 0.00034423408 0.0017211704 0.0 0.0020654046 0.002639128 0.0009179576 0.028800918 0.078255884 0.02294894 0.0076878946 0.0075731496 0.024555365 0.011589214 0.0058519794 0.00952381 0.003327596 0.00929432 0.0002294894 0.0016064257 0.008605852 0.0042455536 0.003327596 0.0018359151 0.010786002 0.006655192 0.0068846815 0.0134251295 0.006310958 0.010441767 0.013539874 0.0049340217 0.0055077453 0.0019506598 0.006081469 0.0024096386 0.004819277 0.0024096386 0.0018359151 0.025014343 0.00034423408 0.052782558 0.010671256 0.032358002 0.031899024 0.04911073 0.0037865748 0.012048192 0.014228342 0.041996557 0.001491681 0.0034423408 0.03178428 0.010556512 0.026965003 0.036488812 0.009409064 0.0001147447 0.04670109 0.05427424 0.07125645 0.0073436606 0.0039013196 0.004360298 0.0061962134 0.004704532 0.0009179576 0.0 0.0001147447 0.0 0.0 0.0 5.399416 0.0 0.0 0.0 1.0 86016.0 86016.0 0.0 0.0 230.0 0.0 1.0 0.0 0.0 0.0 1408501200.0 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 49152.0 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 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3454103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.042364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.365324 0.0 3.3573775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12370.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47122.0 0.0 1168.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 2.0 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 1.0 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 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 2.0 -2.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 57192.0 1168.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 960.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.056689113 0.008304557 0.00617197 0.0056623863 0.0057566385 0.0049694767 0.004201994 0.005420023 0.0050502643 0.0056302785 0.003757662 0.004472322 0.0049570478 0.003169362 0.0043200683 0.004647362 0.0050367997 0.003769055 0.004935297 0.004155386 0.00434389 0.0031755765 0.0041056704 0.0038456998 0.0050699436 0.0033495806 0.003161076 0.002935285 0.0041595288 0.0034376185 0.003788734 0.0037908056 0.006163684 0.0038156633 0.0034811194 0.0030295372 0.004901118 0.004158493 0.0038425925 0.003721411 0.0047250423 0.0038954152 0.0033350803 0.0030968604 0.0043708193 0.0037348757 0.0037245182 0.0035795148 0.0055184187 0.003940988 0.0031030746 0.0029093914 0.003682053 0.0030709668 0.0026794574 0.0028617475 0.0041719577 0.0033081512 0.003526692 0.0033578665 0.004004168 0.003217006 0.003507013 0.0034562617 0.0065955874 0.0039420235 0.00361473 0.0032159702 0.004151243 0.0032232204 0.0035380851 0.0030709668 0.0050015845 0.003773198 0.0037027677 0.003590908 0.0041243136 0.003121718 0.0035587999 0.0034686907 0.0051610884 0.0036271587 0.0036571953 0.0033330088 0.00393063 0.0033796171 0.0033661525 0.0035380851 0.004650469 0.0036416592 0.0038042702 0.0035090845 0.0041118846 0.0033858316 0.00368516 0.0037876982 0.005909928 0.0036250872 0.003340259 0.0029601427 0.0040010605 0.0030481806 0.0032636144 0.0030212514 0.0049715484 0.003165219 0.0031993985 0.0030512877 0.0035753718 0.0028348183 0.0030875385 0.003193184 0.0045127156 0.003284329 0.0032232204 0.0031362183 0.0038954152 0.0033288659 0.0032874362 0.0036271587 0.0046214685 0.003288472 0.0034842268 0.0031714335 0.0040321327 0.0031952555 0.0034655833 0.0033464734 0.008649458 0.0046007535 0.004012454 0.003523585 0.0043697837 0.00343969 0.0030171084 0.0033899744 0.0045417165 0.0038311994 0.0029528926 0.003189041 0.0037307327 0.0027954602 0.002847247 0.0029901792 0.0052294475 0.0032056128 0.0035007985 0.00302643 0.0036613382 0.0031797194 0.0033040082 0.003256364 0.0045417165 0.0028379255 0.0030440376 0.002701208 0.0035121916 0.0032294348 0.0029912149 0.0031527902 0.0050077992 0.0034086178 0.00326465 0.0028006388 0.0037783766 0.0030129654 0.0030606093 0.003185934 0.004141921 0.0030015723 0.003121718 0.0030160726 0.0036447663 0.0028337825 0.002918713 0.0030243585 0.0046660053 0.0031144677 0.0038425925 0.002863819 0.0035670858 0.0031579689 0.0029932864 0.0031206822 0.004249638 0.0031445043 0.0033350803 0.0031797194 0.003649945 0.0031942197 0.0033309374 0.003355795 0.006724019 0.004055955 0.0037245182 0.0033371518 0.0041180993 0.0032553284 0.0033029723 0.0032263277 0.004335604 0.0033288659 0.0031155036 0.003090646 0.0036447663 0.0029901792 0.0030792528 0.0027964958 0.004242388 0.0032719001 0.003093753 0.0030005365 0.0037162323 0.0030336801 0.0029414995 0.002946678 0.003980346 0.003110325 0.0027302087 0.0026338848 0.0035246206 0.0029477137 0.0035764074 0.0028897123 0.0049674055 0.0032377208 0.003403439 0.002978786 0.0038042702 0.003078217 0.0031962912 0.0029083558 0.004434 0.0054479884 0.0034645477 0.0031351827 0.0037939127 0.0030885744 0.003252221 0.003189041 0.0046131825 0.00332783 0.003420011 0.0030367875 0.0037379828 0.0030927174 0.0033143654 0.003244971 0.0043511405 0.0030378231 0.003185934 0.0028669261 0.004011418 0.0030916815 0.0042196014 0.004515823 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099244595 0.06201535 0.062465236 0.055315364 0.060571782 0.059555784 0.054915816 0.054463338 0.060471635 0.053143784 0.05212208 0.052960612 0.056433067 0.05055086 0.056673836 0.05383651 4016.0 5.7034364 22905.0 0.017114168 0.010434403 0.009342939 0.008644401 0.013446846 0.012486356 0.01178782 0.011482209 0.012530015 0.009779524 0.008469766 0.008600743 0.013883431 0.010565379 0.01178782 0.009997817 0.016764898 0.011875137 0.008775377 0.007552936 0.009823183 0.008469766 0.007814888 0.00833879 0.010303427 0.008469766 0.009648548 0.008862694 0.0115258675 0.008950011 0.009692207 0.009211962 0.018074656 0.0108709885 0.010434403 0.009037328 0.010914647 0.008819035 0.010652696 0.008295132 0.014276359 0.011613185 0.009779524 0.008950011 0.011482209 0.009342939 0.011700502 0.009561231 0.014800262 0.00960489 0.009954158 0.009037328 0.012137088 0.009386597 0.009561231 0.009823183 0.013708797 0.009211962 0.010565379 0.009561231 0.011132941 0.009866841 0.010390745 0.010696354 0.01794368 0.011001965 0.009692207 0.008207815 0.013097577 0.008251473 0.009386597 0.00833879 0.015455141 0.009299279 0.008906352 0.00868806 0.011351233 0.007989522 0.0099105 0.007858546 0.013272211 0.008033181 0.008775377 0.008819035 0.011394892 0.009386597 0.008207815 0.007858546 0.0108709885 0.008819035 0.011962454 0.0085134255 0.011307575 0.008993669 0.009954158 0.008775377 6.554511 0.0 0.0 0.0 14.0 965494.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0