Input: 0.14293128 0.008660309 0.004200412 0.0034356802 0.0062625688 0.003962135 0.0020359587 0.001967345 0.007910548 0.0015157412 0.0017078599 0.0015107512 0.0045896396 0.0013772661 0.0012350484 0.0039035014 0.0061852224 0.0015107512 0.0011913851 0.0008994646 0.002480077 0.0019898003 0.0007709696 0.00082960323 0.0023166514 0.00075849437 0.0008345933 0.00071483105 0.0016242758 0.00060754403 0.00059756386 0.0005688708 0.0039059967 0.0005900787 0.00065619743 0.00054641534 0.0041816994 0.0013261177 0.00046782137 0.0005651282 0.0011913851 0.000657445 0.00058758364 0.0009493655 0.0011127911 0.0023578198 0.0006811479 0.0005214649 0.0054678963 0.0026559778 0.0030576806 0.010083734 0.0031499972 0.00184883 0.0025998394 0.0015357017 0.00369766 0.0019161963 0.00071982114 0.0014932859 0.0016791668 0.0009830487 0.0004690689 0.0005326926 0.011862703 0.0039583924 0.004938946 0.008894844 0.0038985114 0.032809872 0.0032934626 0.0027295817 0.003409482 0.0035754028 0.002205622 0.0023727901 0.0027308294 0.004421224 0.0011689296 0.0015431867 0.009129378 0.002160711 0.0020721368 0.009831734 0.0032298388 0.01394482 0.0032473041 0.0021120575 0.0019411468 0.0065644695 0.0027632648 0.0032847298 0.0015781175 0.0046732235 0.002396493 0.003632789 0.005809718 0.0044299564 0.0016928896 0.0032697595 0.009250388 0.0061714994 0.0039247093 0.0015594045 0.0078506665 0.0042652832 0.0036664722 0.0013735236 0.003480591 0.0017415431 0.004378808 0.004059442 0.003137522 0.0017041173 0.0048803124 0.0038822936 0.010217219 0.0055801733 0.0017365529 0.001102811 0.0027857204 0.0012737217 0.00053518766 0.0005950688 0.0016666916 0.0025387106 0.0010716228 0.0008819992 0.005287005 0.0011676821 0.0010978208 0.009138111 0.0031475022 0.0032535417 0.0010429298 0.00062376185 0.002684671 0.0153146 0.0022517801 0.05215647 0.0012063554 0.011091733 0.0008645339 0.000686138 0.0026784332 0.000447861 0.00073354394 0.00065120735 0.0011327515 0.0009443754 0.0015244739 0.0005726134 0.0011838999 0.0005938213 0.0005039996 0.00071857363 0.0009643358 0.0004802966 0.0004690689 0.00042291053 0.0009044547 0.003357086 0.00047031642 0.0025723937 0.0014358998 0.00082461315 0.0005688708 0.00045659367 0.001055405 0.00046158375 0.00051397976 0.00049152435 0.0008545537 0.00045409863 0.0007485142 0.0006636826 0.0013360978 0.00069112814 0.0017452856 0.00054142525 0.0008857418 0.0006761578 0.00071857363 0.0015930877 0.0031774428 0.002556176 0.004690689 0.00083085074 0.0010092467 0.0004840392 0.0008607913 0.0007210687 0.012099732 0.0011589495 0.0023066713 0.010438031 0.004395026 0.0010678803 0.003587878 0.003397007 0.0018862558 0.0017802162 0.0009917814 0.0013136424 0.0016966321 0.0009007121 0.001000514 0.00095061306 0.002899245 0.001160197 0.0030002943 0.0013647908 0.0018288697 0.0007747122 0.0016180382 0.0008832468 0.003397007 0.00065994 0.0010953258 0.0018026717 0.0015095036 0.0007248112 0.00056762324 0.0008495636 0.0024601168 0.0006636826 0.0008857418 0.0009992664 0.002453879 0.0024526315 0.00055514806 0.0006998608 0.027847223 0.0060779355 0.001102811 0.005950688 0.00658942 0.0010516625 0.000686138 0.00076098944 0.0073054987 0.0009855437 0.0018326122 0.0009269101 0.009216704 0.002189404 0.004131798 0.0026160572 0.010154842 0.003080136 0.0031000962 0.0036440166 0.01501769 0.0040307487 0.0043388875 0.06953073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017918234 0.0 0.0 0.00052204204 0.00024695403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009684974 0.0 0.0 0.0041038133 0.002856539 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062895124 0.0 0.0 0.00037449485 0.00027696363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055580284 3.7512004e-06 1.8130802e-05 6.752161e-05 0.00015004801 7.627441e-05 6.2520007e-06 7.502401e-06 1.5630001e-05 0.0 0.0 1.8756002e-06 8.127601e-06 3.1260004e-06 5.0016006e-06 0.00036136564 0.006146342 0.00020756642 0.00021506882 0.0005551777 0.0019262414 0.00049203244 0.0024670395 0.0010734685 0.00019631282 0.00010128241 9.315481e-05 7.564921e-05 0.00067709165 0.00038324765 0.00040387924 0.002912182 0.013431173 0.00064645684 0.0009534301 0.0020981715 0.004162582 0.003638039 0.007022872 0.0032354104 0.00045764644 0.00023757602 0.00031322523 0.00033323164 0.0020994218 0.0011134814 0.001130987 0.009062275 0.020939825 0.0013135454 0.001243523 0.0020950455 0.00737611 0.0025820762 0.006745909 0.0032829256 0.0024113967 0.0009828145 0.0009846902 0.0013466809 0.0040913094 0.00267148 0.0026958627 0.009659341 0.020390274 0.0015748789 0.0012616537 0.0022863566 0.009505542 0.0040775547 0.005934399 0.0034360995 0.0058600004 0.0014254561 0.001793699 0.0023244938 0.0038949964 0.001787447 0.0040788054 0.009753746 0.07466702 0.009903794 0.0073448503 0.010170129 0.04243358 0.03087363 0.021492502 0.014075754 0.051929116 0.005337958 0.0061088298 0.009223577 0.016936045 0.0071360334 0.02768386 0.06161034 0.06079133 0.01021952 0.009199194 0.011775018 0.028369078 0.030877382 0.01782758 0.014739716 0.05026171 0.005937525 0.006540218 0.009231704 0.021286186 0.011034781 0.025305597 0.048959415 0.00023570043 4.8140406e-05 8.690281e-05 5.2516807e-05 9.127921e-05 0.00010003201 4.3764005e-05 6.6271205e-05 0.00013566841 2.9384402e-05 3.3760803e-05 2.9384402e-05 8.502721e-05 6.0644405e-05 7.3773605e-05 0.00010815961 5347.0 15.245184 81516.0 0.005741204 0.00013494283 0.00058884145 9.814024e-05 0.0035330488 0.000601109 0.00013494283 0.00018401296 0.00041709602 0.00042936357 0.00077285443 0.0006133765 0.0005275038 0.015027724 0.0011899504 0.00049070123 0.02378674 0.017015064 0.025050297 0.011727759 0.020106481 0.013874576 0.021468177 0.0106604835 0.02394622 0.013997252 0.00087099464 0.00053977134 0.0010059375 0.0005643064 0.00012267531 0.00014721036 0.001435301 0.0089921 0.0078021493 0.01529761 0.0075199963 0.017002797 0.004980617 0.003238628 0.0051891655 0.018548505 0.0025884488 0.004207763 0.007188773 0.007029295 0.004673929 0.009715884 0.013604691 0.0027601942 0.0063055106 0.021578586 0.013776436 0.0065999315 0.006219638 0.003680259 0.0029319397 0.005643064 0.0016070465 0.0031527553 0.001226753 0.0029442073 0.0030668825 0.02339418 0.00026988567 0.03199372 0.012770499 0.02790863 0.02632612 0.05528976 0.011335198 0.010501006 0.018818391 0.036226016 0.0070415623 0.006783944 0.024461456 0.012157123 0.03867952 0.035551302 0.0189288 0.002612984 0.039808135 0.02974876 0.042556062 0.0112247905 0.010341528 0.0058148094 0.013629226 0.0070415623 0.0011040777 0.00030668825 0.00057657395 0.00026988567 0.00031895578 0.00033122333 5.775243 0.0 2.0 14.0 4.0 801588.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5736556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.34428716 0.011898687 0.0065477686 0.006423967 0.011087266 0.004564378 0.0028665904 0.0022049826 0.009038581 0.0015111802 0.0020222957 0.0013873784 0.0058348156 0.002149792 0.0012590529 0.026031611 0.010903448 0.005595883 0.0009742034 0.0012044655 0.004422707 0.0020218433 0.0009626677 0.00079264765 0.0034963808 0.0007750802 0.00087761995 0.0007801318 0.0029401777 0.00089782634 0.000764977 0.00075645716 0.0048069297 0.0005908855 0.0008830485 0.00074982224 0.021354062 0.0010704099 0.00057459984 0.00073029444 0.0037204602 0.0007834492 0.00086872315 0.0016781843 0.001961752 0.0007406992 0.0012319101 0.0012689299 0.002537332 0.0008167747 0.0010043621 0.0033087179 0.0019540617 0.0009036319 0.00076339365 0.0006719372 0.0018303352 0.0013527713 0.00091938983 0.0025532409 0.0019709505 0.0013422157 0.00076761586 0.001440307 0.0034904997 0.002088042 0.0012727751 0.0021396887 0.008841946 0.0031989398 0.0029909953 0.0014910492 0.002300284 0.0013781047 0.0007712349 0.00076799287 0.0047293464 0.0018076408 0.0019694425 0.0012349259 0.007092436 0.0040248376 0.0033478488 0.0031462375 0.0044840802 0.0027912688 0.0049938387 0.0042221514 0.0030164793 0.0034223408 0.00064886577 0.0020964863 0.003662857 0.0020978434 0.0035092735 0.00394552 0.0013017276 0.0030894636 0.0010256241 0.0018350099 0.0028485705 0.0045268303 0.0037834921 0.0012357553 0.0052835136 0.002994916 0.0050447313 0.0009715645 0.0031888366 0.0015209063 0.0026865425 0.0028877014 0.0024133795 0.0006162943 0.0030047174 0.002730725 0.009256252 0.004848775 0.0014495054 0.0011170806 0.001581073 0.0011976798 0.0006959888 0.00056615536 0.0024936772 0.001225652 0.0016766763 0.0009795566 0.0033981386 0.0022024189 0.00075985 0.014292991 0.003961881 0.004875767 0.0018064345 0.00091690174 0.0021053832 0.006869563 0.0012403545 0.02191788 0.0015286723 0.006782781 0.0010608344 0.00087158824 0.0013606879 0.0006219491 0.0004265203 0.00053509185 0.0012862711 0.0007488421 0.0010708623 0.0005190323 0.0012404298 0.000598953 0.00043029012 0.00054843706 0.0009447232 0.0005130759 0.000686715 0.00062873476 0.00092195335 0.0013698863 0.00040706788 0.0009665883 0.0010618146 0.0006702785 0.00042893298 0.00040050835 0.0011281639 0.00042418297 0.00042569093 0.00043255204 0.00082725484 0.0003631115 0.00047311556 0.00060279825 0.001338672 0.00045306 0.0004017901 0.00047537748 0.0010658107 0.00052687357 0.0013888109 0.0013431205 0.0018546884 0.0010654336 0.00061765144 0.0006182546 0.0013260808 0.0010877511 0.0013522435 0.0014198745 0.007424107 0.004230671 0.0022549706 0.0050455607 0.0091614025 0.0012886839 0.0025409511 0.002926757 0.0023760581 0.001800855 0.0011403782 0.0009778979 0.01884787 0.00072215154 0.0009755606 0.00094887003 0.0019765298 0.0013235926 0.0015982636 0.0012272354 0.00096809625 0.00064027053 0.001190668 0.0006454729 0.0021163912 0.0033877336 0.0007215484 0.0011286163 0.0010894099 0.00081881037 0.0007779453 0.00069568725 0.0014949698 0.0009571637 0.0008723422 0.000643965 0.0011746838 0.0008817668 0.00058636174 0.0005640442 0.012165064 0.0016028628 0.00072456425 0.002594106 0.0024319272 0.0007168738 0.00069636584 0.00079249684 0.0021424785 0.0009961439 0.0012016759 0.014798226 0.0011185885 0.0006653023 0.0019542878 0.0012782791 0.0026312766 0.0011733266 0.0009542986 0.00095542957 0.0017378232 0.0011875767 0.0016604661 0.018197948 0.23948711 5.014393e-06 4.78818e-06 1.2441727e-06 2.8276654e-06 6.4093746e-07 8.294485e-07 9.048529e-07 5.881544e-06 8.294485e-07 5.6553307e-07 1.7720037e-06 3.657114e-06 7.163419e-07 5.6553307e-07 8.294485e-07 0.00073794526 1.847408e-06 9.048529e-07 2.7899632e-06 6.3716725e-06 7.917463e-07 6.786397e-07 1.2064705e-06 6.9372054e-06 1.2064705e-06 9.802574e-07 1.4326838e-06 3.5817095e-06 1.8097059e-06 1.093364e-06 2.5637498e-06 0.0006994513 5.9946506e-06 3.2046873e-06 4.4865624e-06 2.601452e-06 1.2441727e-06 4.0718382e-06 2.2621323e-06 8.482996e-06 1.3572794e-06 1.3949816e-06 2.1490257e-06 5.504522e-06 2.3375367e-06 3.0161764e-06 2.4581837e-05 0.0037716532 0.00010209757 5.572386e-05 1.3912114e-05 1.5948033e-05 1.3195771e-05 2.6881671e-05 1.0066488e-05 5.5007516e-05 8.482996e-06 7.804357e-06 1.3308878e-05 1.726761e-05 1.4251434e-05 1.9755955e-05 0.00033306127 0.0021202965 8.339727e-05 0.000103681065 3.8418548e-05 6.514941e-05 2.6316138e-05 2.2282004e-05 1.4477647e-05 7.740263e-05 1.8247867e-05 8.181379e-06 1.078283e-05 2.6730862e-05 2.514737e-05 1.1197555e-05 5.078487e-05 0.0032910632 0.0001419865 0.00010854465 0.00041796663 0.00029954402 2.4544135e-05 3.7664504e-05 3.08404e-05 0.000119666794 2.3036047e-05 2.514737e-05 3.5553177e-05 5.0860275e-05 4.724086e-05 4.3659154e-05 0.00024438568 0.0038835532 0.0001281875 9.738479e-05 0.00022794753 0.00017991492 6.0775954e-05 0.00022670336 8.482996e-05 9.527347e-05 5.828761e-05 5.0558658e-05 6.341511e-05 9.8289645e-05 0.00013712292 7.2237424e-05 0.00017214827 0.009532965 0.00023209477 0.00027488678 0.00034297694 0.00048009987 0.00064052275 0.00075570296 0.0004670926 0.00026587595 0.00022021857 0.00015348567 0.00030150454 0.0003674834 0.00031918686 0.00019401555 0.00066306867 0.007141024 0.00021769253 0.00050992233 0.0005356352 0.0008121432 0.0011168524 0.0029303662 0.0013992796 0.00017335474 0.00015770832 9.6593045e-05 0.00020280016 0.00032224075 0.0002516999 9.900599e-05 0.00024864604 0.009731241 0.00026806266 0.0013971683 0.0013915884 0.0029978154 0.0023659642 0.009998285 0.004866374 0.00030976132 0.00033234493 0.0001948827 0.00027454746 0.00035775622 0.00020826698 0.00012596307 0.00038961458 0.0060684336 0.00044006013 0.0007094047 0.0007907283 0.0013764697 0.0011554594 0.0038165941 0.0018685966 0.0003644672 0.00023326353 0.00022048249 0.00020943575 0.00036650314 0.00033988536 0.00017686104 0.00070359855 0.00521233 0.0007558161 0.0007149846 0.00072723784 0.0008189673 0.0008248111 0.0022141375 0.0013284371 0.00092053704 0.00044228457 0.00023718456 0.0003385281 0.00070740643 0.00032699123 0.00026078615 0.00069338124 0.008792531 0.0014898403 0.0016955435 0.0010245574 0.0015444708 0.0019191176 0.003007354 0.00203098 0.0024955089 0.0007559292 0.00053073396 0.0007007709 0.0018792286 0.00090930174 0.000886869 0.0024583344 0.07552204 0.017279787 0.01794591 0.007793385 0.015708812 0.023466643 0.009291482 0.010769824 0.034424413 0.0041596466 0.00350721 0.0063125556 0.027325954 0.008078074 0.011705441 0.024137592 0.060647804 0.015302609 0.017433085 0.00891118 0.014209961 0.0229761 0.010086621 0.011083468 0.03345656 0.0041513145 0.0040492923 0.0060875486 0.029130796 0.00785631 0.013307974 0.020592831 0.0024823886 0.0017122456 0.0019576494 0.001909956 0.0019515792 0.0019112001 0.0018005442 0.001891595 0.0018163414 0.0015940492 0.0018180003 0.0017781868 0.0020027035 0.0017870845 0.001991355 0.0019402686 49864.0 15.707826 783255.0 0.0324658 0.00059495313 0.0012639562 0.00078263145 0.018692508 0.0054541626 0.00052090315 0.0019521101 0.0037829315 0.001560156 0.00058090914 0.0011056425 0.0028598604 0.0034867316 0.004370224 0.0019406195 0.00869704 0.0046549337 0.0040918984 0.0060669896 0.0037356927 0.0036488755 0.0033450155 0.0043319226 0.0038965598 0.0053609614 0.0050124163 0.0048758066 0.00397444 0.0018716765 0.0029236965 0.0026836726 0.0040229554 0.011210908 0.0056737587 0.009502652 0.014752539 0.014064386 0.009866519 0.0055090617 0.004791543 0.008276998 0.0013622639 0.0024781202 0.011355178 0.006951759 0.0077305604 0.0076654474 0.0152734425 0.007756095 0.013604765 0.01603437 0.013918838 0.008148049 0.009512866 0.008796624 0.004001251 0.0036935608 0.001962324 0.0034280024 0.004836228 0.0036156806 0.004177439 0.028183669 0.0018703998 0.04338689 0.009987807 0.023777697 0.02436499 0.06915883 0.0127442535 0.0140733225 0.015090871 0.03682198 0.0061933855 0.0061780647 0.029616153 0.018541854 0.035140537 0.035564408 0.01874996 0.0016048413 0.036161914 0.03360336 0.04953559 0.016667625 0.008196564 0.0065189498 0.005183497 0.009187302 0.0021027634 0.0010762778 0.0018984877 0.0012345916 0.0020389273 0.0009843537 5.8544364 2.0 79.0 0.0 25.0 13263144.0 67162110.0 1.0 1.0 361.0 0.0 1.0 1.0 1.0 0.0 1422599000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 7789056.0 1024.0 4096.0 9.0 0.0 0.0 3.0 2.0 0.0 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 1905664.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 -81408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3291136.0 0.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 -7681024.0 -512.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.0038986506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8773813 0.0 0.0 0.0 4.2113976 0.0 0.0 0.0 -7.9974165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.6299183 0.0 0.0 6.3870277 0.0 0.0 0.0 0.0 0.0 -6.7233276 -2.0 6.2216783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6753.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1905615.0 0.0 0.0 0.0 3024.0 0.0 0.0 0.0 -81284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57175044.0 0.0 0.0 26156.0 0.0 0.0 0.0 0.0 0.0 -7680576.0 -4.0 261856.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 2.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 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 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -2.0 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 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 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 -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 0.0 1.0 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 0.0 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 -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 -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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 -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 -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 -1.0 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 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 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 -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 -2.0 -1.0 1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 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 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 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 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 1.0 0.0 1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 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 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 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 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 0.0 1.0 -1.0 1.0 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 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 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 1.0 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 -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 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 9704320.0 440.0 9695168.0 261856.0 66899970.0 0.0 0.0 3368.0 13259776.0 0.0 0.0 28.0 8820112.0 0.0 0.0 0.0 0.0 24.0 9655184.0 0.0 0.0 0.0 0.0 1644.0 7798784.0 0.0 0.0 0.0 0.0


Input: 0.65618163 0.0017122107 0.0014542117 0.0014394037 0.0015669795 0.0014656023 0.0012649363 0.0013108788 0.0015561583 0.0012768965 0.0012655058 0.0012588613 0.0013940308 0.0012751879 0.0012319033 0.0016142508 0.0014657922 0.0012450026 0.0012275368 0.0012218416 0.0013572009 0.0013152452 0.0012144375 0.0012178548 0.0013317617 0.0012315236 0.0012541151 0.001219943 0.0012451924 0.0012227907 0.0012294353 0.0012239298 0.0014519335 0.0012233603 0.0012575323 0.0012463315 0.0018642765 0.001237219 0.0012254486 0.0012222212 0.0013194218 0.0012239298 0.0012144375 0.0014416819 0.0012487995 0.0012370291 0.0013067022 0.0013961191 0.0014984454 0.0015107854 0.001461046 0.0015164807 0.001429342 0.001423267 0.0014306708 0.0013820706 0.0014885735 0.001494079 0.0012243094 0.001334989 0.0012791747 0.00126038 0.0012136782 0.0012717707 0.0014813595 0.0015815975 0.0014861055 0.0014760437 0.0015948866 0.0016563964 0.0015267323 0.0014779422 0.0021714454 0.0014936994 0.0014236466 0.0014344677 0.0015884319 0.0015265425 0.0014693992 0.0014432006 0.001601721 0.0014690195 0.0014955978 0.0015432489 0.0015195182 0.0014978759 0.0015578669 0.0015322379 0.0014743352 0.0014559202 0.0014272536 0.0012679738 0.001281263 0.0012930334 0.0012926536 0.0013646048 0.0012666449 0.0014978759 0.0014616156 0.0015009134 0.0015191386 0.0016102641 0.0017055662 0.0014433905 0.0015168604 0.0015107854 0.0015255932 0.0013854877 0.001521037 0.0014828782 0.001523505 0.0014862954 0.0014923704 0.0013915627 0.0015825467 0.0015016728 0.0018386474 0.00167652 0.0014350372 0.0014409225 0.0014369357 0.0014217481 0.0014073199 0.0012081726 0.0012808832 0.0012618988 0.0012499385 0.0012250688 0.001327775 0.0012693027 0.001219943 0.0016784184 0.0015599552 0.0014870547 0.0012584815 0.0012290556 0.0013340398 0.0017725815 0.001246901 0.0022031495 0.001252976 0.0014602867 0.001244433 0.0012243094 0.001325307 0.0012339916 0.0012178548 0.0011910866 0.0012357002 0.0012115899 0.0012377885 0.0011950734 0.0011791264 0.0012180445 0.0012459517 0.0012343712 0.0012332322 0.0012379783 0.0012506979 0.0012231704 0.001231144 0.0012582917 0.0012188039 0.001246901 0.0012453822 0.0012480401 0.0012189938 0.0012115899 0.0012482299 0.001213868 0.0012129188 0.0012237399 0.0012155767 0.0012093118 0.0012271572 0.0011899476 0.0012634175 0.0012436736 0.0012087421 0.0012170954 0.0012417752 0.0012244993 0.0012533558 0.00123589 0.0013059428 0.0012620887 0.0012563933 0.0012275368 0.0012326627 0.0012366493 0.0012484198 0.0012489894 0.0014838274 0.0013291038 0.0012685433 0.0013765651 0.0013161944 0.0012167157 0.0015244542 0.0014177614 0.0012920841 0.0013027154 0.0012825918 0.0012539253 0.0013241678 0.001219943 0.0012436736 0.0012364596 0.0012814528 0.0012436736 0.0012636074 0.0012370291 0.0012184243 0.0012193735 0.0012357002 0.0012487995 0.0012710113 0.0012368392 0.0012144375 0.0012524065 0.0012465214 0.0011952632 0.0012290556 0.0012343712 0.0012463315 0.0012343712 0.0012260181 0.0012489894 0.0012478502 0.0011912765 0.0012165258 0.0012643668 0.0015922288 0.001290945 0.0012647464 0.0013710596 0.0013306226 0.0011850116 0.0012465214 0.0012786051 0.0013355586 0.0012417752 0.0012423447 0.0013002474 0.0012465214 0.0012172852 0.0012588613 0.0012389275 0.0013365078 0.0012499385 0.0012290556 0.0012254486 0.0012956911 0.0012357002 0.0013199913 0.0021644211 0.6422215 0.0 1.1392913e-06 3.7976375e-07 1.8988188e-06 2.2785825e-06 1.8988188e-06 3.03811e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000749084 1.4241141e-06 2.1836415e-06 1.8038778e-06 1.8988188e-06 1.1392913e-06 5.791397e-06 4.2723423e-06 9.494094e-07 9.494094e-07 1.0443504e-06 1.4241141e-06 1.8988188e-06 1.2342322e-06 1.4241141e-06 1.2342322e-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 0.0020488254 2.3830176e-05 3.560285e-05 1.3291731e-05 2.1266771e-05 2.6013817e-05 7.937063e-05 3.626744e-05 5.3166928e-06 5.1268107e-06 3.8925787e-06 6.171161e-06 1.0918208e-05 3.8925787e-06 5.03187e-06 8.449743e-06 0.0011610327 1.6045018e-05 2.0412303e-05 1.0728326e-05 1.8988188e-05 3.3324268e-05 3.636238e-05 2.1741474e-05 9.019389e-06 3.6077556e-06 5.791397e-06 4.747047e-06 5.4116335e-06 5.5065743e-06 3.6077556e-06 4.747047e-06 0.00031112146 2.0887007e-06 3.9875194e-06 2.0887007e-06 2.0887007e-06 1.7089369e-06 1.4241141e-06 4.0824602e-06 1.5285492e-05 9.589035e-06 1.8513483e-05 2.0887007e-06 3.03811e-06 3.9875194e-06 2.5634054e-06 5.2217515e-06 0.0009914682 3.522309e-05 4.2533542e-05 2.6678405e-05 1.6804546e-05 3.142545e-05 5.2312458e-05 4.566659e-05 4.0824605e-05 1.110809e-05 8.06998e-06 1.613996e-06 1.4336082e-05 4.747047e-06 1.0918208e-05 2.734299e-05 0.0008015864 1.2627145e-05 3.740673e-05 2.212124e-05 2.7817696e-05 2.212124e-05 8.801025e-05 5.5825272e-05 1.6329841e-05 1.0823267e-05 1.2532204e-05 1.7374192e-05 1.1867617e-05 1.015868e-05 8.259862e-06 1.1772677e-05 0.00019871138 2.4684643e-06 1.2532204e-05 5.5065743e-06 1.7279252e-05 1.1867617e-05 8.772543e-05 4.338801e-05 3.4178738e-06 5.6964564e-07 8.5446845e-07 1.0443504e-06 5.6964564e-07 8.5446845e-07 6.645866e-07 1.4241141e-06 0.0008672855 3.4843324e-05 0.00022852284 0.0009325099 0.0014533559 0.001062579 0.0015184854 0.001077105 4.1868952e-05 1.7659015e-05 1.5855137e-05 2.7627813e-05 2.3925117e-05 2.1931357e-05 4.063472e-05 2.4494762e-05 0.0015719371 7.3009585e-05 0.0003661872 0.00093982037 0.001517441 0.0011215373 0.0015154473 0.0010968527 0.00024001069 5.0983283e-05 6.465478e-05 5.8388676e-05 0.00016016536 5.648986e-05 4.45273e-05 6.674348e-05 0.0010123552 6.5509244e-05 0.00018171695 0.00016082995 0.00030343124 0.00019557834 0.00021855404 0.00017203297 0.0001859893 3.7121907e-05 3.227992e-05 3.66472e-05 0.00014905728 4.063472e-05 6.228126e-05 6.2566076e-05 0.0011554313 8.772543e-05 0.000116492534 0.00012275863 0.00024380833 0.00018295119 0.00025890395 0.00016244395 0.00030248184 4.424248e-05 2.8387341e-05 5.962291e-05 0.00015627278 0.00010187163 0.00011468866 0.00016738087 0.0036126927 0.0005123963 0.00055901223 0.0004957816 0.0014144301 0.00084943656 0.00050945306 0.0006673399 0.0018628362 0.00019557834 0.00021228794 0.00036210474 0.00094589655 0.00028956987 0.0006493011 0.0010559331 0.0012917664 0.00028425318 0.00032147003 0.00023089636 0.0006080018 0.00037378247 0.00021323735 0.00030495028 0.0008416514 0.00010396033 9.9213285e-05 0.00011620771 0.0004633118 0.00015703231 0.0002975449 0.00051476975 0.019231332 0.019072685 0.019189082 0.019256681 0.01918633 0.01916079 0.019371845 0.019158892 0.019206932 0.019183196 0.01912025 0.01921557 0.019145885 0.019133542 0.019197438 0.019188797 8521.0 13.718695 116897.0 0.0057999776 0.0039864155 0.0043029333 0.0037383337 0.0048247604 0.004191724 0.0038409883 0.003969306 0.0037982154 0.0035159157 0.004140397 0.012104673 0.0040805154 0.0038238792 0.0052610417 0.012241546 0.0124383 0.0124383 0.012763373 0.012540955 0.012053346 0.011950691 0.0122501 0.012010573 0.0131055545 0.0134734 0.0041147335 0.0038495427 0.003695561 0.0036185703 0.003960752 0.0042430516 0.0046023424 0.01560348 0.012412637 0.014072217 0.013456291 0.013978117 0.0134734 0.013088445 0.013824136 0.012985791 0.012429746 0.012643609 0.014174872 0.012831809 0.0132852 0.013422073 0.013182545 0.012831809 0.014474281 0.014405845 0.013712927 0.013242427 0.0133536365 0.01373859 0.0131911 0.012309982 0.012575173 0.0042088334 0.004106179 0.004311488 0.0043542604 0.008024158 0.0040377425 0.015021771 0.012395528 0.014431508 0.014833571 0.018426478 0.0128574725 0.013584608 0.013088445 0.01541528 0.012977236 0.012002019 0.015458053 0.0137984725 0.01522708 0.015278407 0.013430627 0.011907919 0.016202297 0.015175753 0.01680967 0.0134734 0.013199654 0.012985791 0.0122501 0.013781363 0.012309982 0.0038752065 0.0035757974 0.0037383337 0.0041147335 0.00390087 6.4284863 6.0 1.0 0.0 60.0 5267459.0 5267456.0 0.0 1.0 13.0 1.0 1.0 0.0 0.0 0.0 1494505300.0 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 -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 4096.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -4096.0 0.0 5246976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2366767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.73243535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8698554 0.0 3.6859996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -652.0 0.0 5242976.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8592.0 60.0 8252.0 5242976.0 16384.0 0.0 0.0 0.0 0.0 92.0 5263360.0 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 8192.0 0.0 0.0 0.0 0.0


Input: 0.010294289 0.007902796 0.0070087044 0.0072532888 0.008315872 0.0052476963 0.007141867 0.005978732 0.008796889 0.0051226863 0.0062070107 0.005171603 0.0080441125 0.005098228 0.0055466327 0.0060385196 0.007905514 0.004869949 0.004793856 0.004538401 0.006364632 0.00438078 0.0046117767 0.0045954706 0.006283104 0.004147066 0.0042612054 0.004011186 0.005611855 0.0037231194 0.0037557308 0.0041769594 0.0074136276 0.0050112647 0.0039160694 0.0037829068 0.0057694763 0.004277511 0.004084561 0.004378062 0.0046661287 0.003978574 0.0035600632 0.004372627 0.0045628594 0.003644309 0.0040410794 0.0037095314 0.005970579 0.0031170934 0.0037149666 0.0034078772 0.005283025 0.0031714456 0.003527452 0.0039840094 0.0047150454 0.0031660104 0.0032964554 0.004609059 0.004622647 0.0031225288 0.0030681766 0.0031795984 0.0065929107 0.0046525407 0.005090075 0.005283025 0.0049813706 0.0039867274 0.004622647 0.0046117767 0.006351044 0.004296534 0.003951398 0.004003033 0.0048319027 0.0041552186 0.0038943286 0.003878023 0.0058808983 0.00334809 0.0039867274 0.004318275 0.004359039 0.0036959434 0.0038318236 0.0038236708 0.0049840882 0.0028752265 0.003554628 0.0033725484 0.0041226074 0.0030138243 0.0029295788 0.0034214652 0.0052341083 0.0040220562 0.002899685 0.0030817646 0.004299252 0.0030355654 0.0034758174 0.003182316 0.0050167 0.0041497834 0.0030573062 0.0031116582 0.0038861758 0.003285585 0.0030627414 0.003519299 0.005405317 0.002603466 0.0039160694 0.0033018906 0.0058917687 0.0053944467 0.00315514 0.0037530132 0.004106302 0.0027991335 0.0023670343 0.0027719575 0.0039296574 0.003106223 0.0032285154 0.003312761 0.0064298543 0.004780268 0.0039758566 0.0052748723 0.0048808195 0.0043074046 0.0037557308 0.0038535646 0.004753092 0.0050194175 0.0028154394 0.0056037023 0.003595392 0.0042394646 0.0026741237 0.0028290274 0.0062640808 0.0028398978 0.0036742026 0.0033997244 0.0032964554 0.00296219 0.0029649076 0.0032339506 0.0033779836 0.0023208351 0.0027936983 0.0025735723 0.0032883026 0.0022474597 0.0027801103 0.0027339112 0.0037557308 0.0035872392 0.0023615991 0.0025273731 0.004030209 0.0026985821 0.0027502168 0.0032122096 0.0034133124 0.0025980307 0.0021659315 0.002293659 0.0035165814 0.0025599843 0.0022175661 0.0026714061 0.0048319027 0.0026442301 0.002342576 0.0023235527 0.004103584 0.0026143366 0.0029431668 0.003271997 0.0047476566 0.0030083891 0.0033372196 0.0027719575 0.0032556914 0.002212131 0.002755652 0.0029241436 0.0058781807 0.004160654 0.0039758566 0.004106302 0.0039296574 0.00219039 0.0038753054 0.0037448604 0.005076487 0.0037638836 0.0024512801 0.0026224894 0.0028290274 0.002299094 0.002198543 0.0029567548 0.0046253647 0.0027230408 0.0034540766 0.0031660104 0.0037448604 0.002149626 0.0031524224 0.0031660104 0.004551989 0.002549114 0.0029132732 0.0030600238 0.0036551794 0.0025844427 0.0026442301 0.0031361168 0.005584679 0.0031931864 0.002549114 0.002473021 0.0055547855 0.002032769 0.002024616 0.0029051201 0.004296534 0.002473021 0.0021876723 0.005552068 0.004138913 0.0026551005 0.0026279246 0.0032203626 0.0055004335 0.0023751871 0.002742064 0.0022773533 0.0039758566 0.001866995 0.0028562034 0.00334809 0.004644388 0.002019181 0.0020436393 0.002549114 0.0032285154 0.0019376527 0.0025246555 0.004932454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001333908 0.00010774921 0.000174581 9.547399e-05 0.00010502138 9.68379e-05 0.00019776754 0.00015139446 9.001833e-05 5.319265e-05 3.8189595e-05 6.137614e-05 6.683179e-05 7.5015276e-05 5.8648307e-05 8.72905e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10680402 0.07801452 0.07106947 0.06196262 0.075080745 0.061487976 0.058180485 0.058971554 0.068813555 0.050778523 0.046416726 0.050089747 0.056015953 0.051231343 0.053469524 0.04881994 2345.0 5.8260126 13662.0 0.022544283 0.011711316 0.010832967 0.0080515295 0.015224711 0.010320597 0.008710291 0.014931928 0.012736056 0.007685551 0.008563899 0.010832967 0.009735031 0.008124726 0.011272142 0.008197921 0.017347386 0.008710291 0.009735031 0.0073195724 0.012882448 0.007465964 0.0073927683 0.0101742055 0.012882448 0.009003074 0.008197921 0.0122968815 0.011564924 0.0068803984 0.0065876152 0.007831942 0.015956668 0.011857707 0.012370078 0.014712341 0.011638121 0.008856683 0.012150491 0.012004099 0.016688626 0.011930903 0.009661836 0.008490704 0.012004099 0.009369053 0.010027815 0.010906163 0.016469039 0.007978334 0.008637096 0.011491729 0.011930903 0.008271117 0.0092958575 0.010979359 0.011711316 0.0065144193 0.0092958575 0.009149466 0.00958864 0.005855658 0.0073927683 0.0080515295 0.012955643 0.012004099 0.0073927683 0.008563899 0.012662861 0.010759772 0.009442248 0.009515445 0.014273167 0.012882448 0.0075391596 0.007831942 0.012809252 0.008783487 0.010247402 0.0114185335 0.0144195575 0.0062948326 0.013102035 0.0080515295 0.018445322 0.013614405 0.007831942 0.010832967 0.010686576 0.0073927683 0.005636071 0.0061484408 0.009369053 0.0054896795 0.008124726 0.008490704 6.527554 0.0 0.0 0.0 6.0 367971.0 2203648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536226300.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 622592.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -619008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9230123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -622592.0 0.0 0.0 0.0 0.0 0.0 1544192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 808.0 2200284.0 29404.0 2170880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2166936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06580965 0.0046885316 0.0036002146 0.0034747056 0.0038873376 0.0031738281 0.0031738281 0.003172109 0.004992848 0.003093021 0.003276986 0.0030569157 0.0037205655 0.0034437582 0.0030259683 0.0035709864 0.0045441105 0.0029915823 0.0028987401 0.0044581452 0.003987057 0.0032615124 0.0031978984 0.0031531965 0.004415163 0.0028832664 0.0042277593 0.0030964597 0.0036878989 0.0031170913 0.0029296875 0.0034850214 0.004478777 0.003087863 0.0031136526 0.0030483191 0.0057820063 0.0034059337 0.00331653 0.003105056 0.003756671 0.0035297233 0.0029606349 0.0030156525 0.004208847 0.0034437582 0.003270109 0.0034386003 0.0043601454 0.0040678643 0.0039096884 0.004834672 0.0043171626 0.004021443 0.0043790573 0.0038701447 0.0042707417 0.004442672 0.0039561098 0.0046317945 0.004623198 0.004021443 0.0048312335 0.004171022 0.01631444 0.003395618 0.0035606707 0.0035503549 0.005051304 0.0038374779 0.0036999339 0.0036672673 0.0039440747 0.0036793023 0.0030620736 0.003557232 0.003933759 0.0034300038 0.0038787413 0.0029761086 0.004234636 0.003115372 0.0030362841 0.004105689 0.0036225654 0.0038237236 0.0033749864 0.0032890213 0.0033268458 0.0035589514 0.0037944955 0.0032013368 0.003854671 0.0034059337 0.0036638286 0.0031978984 0.0032890213 0.0038615481 0.0034557933 0.0033406003 0.0039647063 0.0039939345 0.0041228817 0.002962354 0.0040334784 0.003557232 0.0037205655 0.002915933 0.003918285 0.0032116526 0.003962987 0.0036174075 0.0037910568 0.0030431612 0.0034609511 0.0036036533 0.005790603 0.00442204 0.0032064947 0.0031222492 0.0036621094 0.003099898 0.0033027756 0.0031016176 0.0037927763 0.0032597932 0.0029073367 0.003053477 0.0037962147 0.0034282845 0.0035434777 0.0041761803 0.0037446357 0.003498776 0.0031549158 0.0029142138 0.0034678285 0.0054157954 0.0039148466 0.0057630944 0.0033079335 0.0034231266 0.0035142496 0.0032082142 0.0038753026 0.0028712314 0.0029761086 0.002950319 0.0036964954 0.0029984596 0.0030895823 0.0029468804 0.0032752668 0.0030276875 0.0033767056 0.0032494774 0.0031342842 0.0029864244 0.0029571962 0.003029407 0.0031944597 0.004014566 0.003916566 0.0035142496 0.004468461 0.003505653 0.002955477 0.003024249 0.0031549158 0.0034678285 0.0029142138 0.0030775473 0.003689618 0.0030173718 0.0043154433 0.0029073367 0.0037979342 0.0039784606 0.006502393 0.005304041 0.0066760425 0.005702919 0.0031446 0.0031136526 0.0037394778 0.0035830215 0.003041442 0.0029847051 0.004038636 0.0030827052 0.0031188105 0.0031514773 0.0039492324 0.0036638286 0.003110214 0.003407653 0.0033663898 0.003087863 0.0036913375 0.004066145 0.0032718282 0.003402495 0.003533162 0.0029056172 0.0036277233 0.0036672673 0.003034565 0.003110214 0.0043687415 0.0030706702 0.0037188462 0.0030380033 0.003321688 0.0034729864 0.0035606707 0.0030655123 0.0038632676 0.003080986 0.003493618 0.0031893018 0.0031256878 0.0033784248 0.0030208104 0.0030362841 0.0033423195 0.0045458297 0.0034575127 0.0030448807 0.003493618 0.0030741086 0.0034575127 0.0030431612 0.004365303 0.0042243204 0.0033784248 0.0034901793 0.0037549515 0.0031755473 0.0036122496 0.003466109 0.0035692672 0.0035383198 0.003099898 0.0030173718 0.0032941792 0.0030861439 0.003689618 0.003252916 0.0036036533 0.0036638286 0.0031514773 0.003024249 0.0039887764 0.0039681448 0.003971583 0.007783272 0.014086096 0.0 0.0 0.0 1.7223324e-06 2.5834986e-06 8.611662e-06 9.472828e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.611662e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016232984 6.8893296e-06 1.4639826e-05 1.7223324e-06 1.2917493e-05 9.472828e-06 8.611662e-07 6.0281636e-06 3.0140818e-05 2.5834986e-06 8.611662e-07 4.305831e-06 1.808449e-05 2.5834986e-06 8.611662e-06 2.0667989e-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 0.005843013 4.736414e-05 0.000119702105 7.406029e-05 0.00017653908 6.803213e-05 0.00032552084 0.00018256724 1.2056327e-05 9.472828e-06 1.2917493e-05 1.3778659e-05 9.472828e-05 2.8418486e-05 1.3778659e-05 3.2724318e-05 0.0027695105 6.5448636e-05 6.1142804e-05 4.994764e-05 8.956129e-05 5.1669973e-05 0.00014812058 9.558945e-05 1.7223325e-05 6.0281636e-06 1.8945657e-05 8.611662e-06 2.3251489e-05 8.1810795e-05 1.2917493e-05 2.7557318e-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 0.0059291297 0.00014898175 0.00019548474 0.000114535105 0.00040130346 0.00018945656 0.0007362971 0.0004460841 6.88933e-05 5.4253473e-05 6.200397e-05 9.128362e-05 0.00014725943 5.253114e-05 7.233796e-05 0.000108506945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00371421 0.00012056327 0.0003186315 0.0006079834 0.00024112655 0.0001937624 0.00071562914 0.00040733162 0.00020495756 5.6836972e-05 5.3392305e-05 5.5114637e-05 9.9034114e-05 0.00011109044 5.942047e-05 9.558945e-05 0.0045159557 0.00021098573 0.0005201444 0.00023595955 0.0006209008 0.00034016065 0.0015707671 0.0008181079 0.00032207617 0.0001248691 0.00013864777 0.00021356922 0.00017223324 0.00028590718 0.00014639826 0.00034532766 0.00371421 0.00091628084 0.0010178984 0.01387511 0.0010626791 0.0010006751 0.0015569886 0.0012357736 0.0008870012 0.0008749449 0.00086977787 0.00091111386 0.0009197255 0.00089819636 0.0008956129 0.0011100433 0.00070012815 6.975447e-05 6.1142804e-05 5.5975805e-05 0.00017912258 5.4253473e-05 5.5975805e-05 4.9086473e-05 4.1335978e-05 4.1335978e-05 7.406029e-05 0.00016103809 5.080881e-05 4.736414e-05 5.8559304e-05 6.37263e-05 0.0045727924 0.0007500758 0.0009507275 0.0005795649 0.0017576403 0.001186687 0.00065965333 0.00095417217 0.0027772612 0.00025921102 0.00024629355 0.00038408014 0.001025649 0.00044177828 0.0009455605 0.0019092056 0.01829117 0.0057543125 0.0061306423 0.0048724785 0.01469408 0.005849902 0.0047286637 0.0051351343 0.008429095 0.0025301063 0.0053521483 0.01110646 0.0052238344 0.0041714893 0.00615131 0.007981288 0.052742127 0.048310563 0.047641438 0.048002265 0.05238474 0.047731 0.047476955 0.047351226 0.0475691 0.046540007 0.048363097 0.05207989 0.047160044 0.047720667 0.048623167 0.048081495 2855.0 8.171278 23329.0 0.022718504 0.005786789 0.006901282 0.0048437566 0.012473745 0.004972352 0.0047580265 0.0060868445 0.020961035 0.0060011144 0.0051866774 0.0055295983 0.010844871 0.0063440353 0.00612971 0.0056153284 0.019332161 0.014917056 0.015217111 0.0152599765 0.019246431 0.0135025075 0.02644777 0.014274079 0.019889409 0.014231214 0.012988126 0.014059754 0.019332161 0.014574136 0.015131381 0.014316944 0.01041622 0.007115607 0.005358138 0.0068155513 0.01225942 0.00621544 0.005829654 0.017917613 0.010716276 0.006729821 0.0056581935 0.0043293755 0.011316387 0.0068155513 0.0060011144 0.0055295983 0.0135025075 0.0064297654 0.005786789 0.022418449 0.012087959 0.006258305 0.0076728533 0.0063440353 0.009944704 0.0054867333 0.017531827 0.0059153843 0.01058768 0.006172575 0.0060439794 0.005786789 0.009901839 0.013116722 0.006644091 0.010116165 0.014874191 0.021346822 0.007544258 0.0072013373 0.011702173 0.013459642 0.0051009473 0.0059582493 0.017360367 0.008830211 0.013974024 0.014059754 0.012988126 0.0045865662 0.014574136 0.011573578 0.023704402 0.010373355 0.0056581935 0.0055724634 0.011530713 0.0076728533 0.0055295983 0.0051438124 0.010459085 0.0051866774 0.0045008357 0.0048866216 6.408529 0.0 0.0 0.0 9.0 581632.0 593920.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1542618900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 40960.0 4096.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 413696.0 0.0 0.0 0.0 0.0 -16384.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 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 -6.101838 0.0 7.9991746 0.0 0.0 0.0 0.0 -7.9843216 0.0 5.2781982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.457901 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6843605 0.0 2.804734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16164.0 0.0 413449.0 0.0 0.0 0.0 0.0 -12851.0 0.0 10274.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37060.0 0.0 2472.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230.0 24576.0 200.0 53284.0 1488.0 573440.0 0.0 0.0 0.0 0.0 16164.0 577536.0 56.0 45440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.13776468 0.008347262 0.004048578 0.0033114892 0.006036193 0.0038189143 0.001962364 0.0018962304 0.0076246015 0.0014609512 0.0016461252 0.0014561414 0.004423736 0.0013274815 0.0011904046 0.0037624 0.0059616426 0.0014561414 0.0011483196 0.00086695125 0.0023904287 0.0019178741 0.00074310106 0.0007996152 0.0022329104 0.00073107675 0.0008044249 0.00068899174 0.0015655624 0.00058558286 0.00057596347 0.0005483076 0.003764805 0.00056874886 0.00063247763 0.00052666385 0.0040305415 0.0012781819 0.00045091083 0.0005447003 0.0011483196 0.00063368 0.000566344 0.0009150484 0.0010725666 0.0022725905 0.0006565262 0.0005026153 0.009909216 0.0031467564 0.0073997476 0.010376962 0.007695545 0.0023976432 0.007061865 0.0021595624 0.008115193 0.0024517525 0.0006938015 0.0014393074 0.0016184693 0.00094751397 0.00045211328 0.00051343715 0.011433897 0.0038153068 0.004760416 0.008573318 0.0037575904 0.03162388 0.0031744123 0.0026309146 0.0032862383 0.0034461613 0.0021258944 0.0022870197 0.002632117 0.004261408 0.0011266759 0.0014874046 0.008799375 0.0020826068 0.0019972343 0.009476342 0.0031130884 0.013440751 0.0031299226 0.0020357121 0.0018709793 0.006327181 0.00266338 0.0031659952 0.0015210726 0.004504299 0.002309866 0.003501473 0.0055997116 0.004560813 0.0024072626 0.0033956592 0.0093825525 0.006185294 0.0045175254 0.0017170685 0.008115193 0.0043275417 0.0042626103 0.001572777 0.0038080923 0.0019298984 0.0049407803 0.004174833 0.00347021 0.0018805988 0.0054121325 0.003946372 0.010374556 0.0056417966 0.0023267 0.0013431131 0.0031178982 0.0012276799 0.000515842 0.0005735586 0.0016064451 0.0024469427 0.0010328864 0.00085011724 0.0050958935 0.0011254734 0.0010581374 0.008807791 0.003033728 0.0031359345 0.0010052306 0.0006012145 0.002587627 0.014761018 0.0021703842 0.050271146 0.0011627488 0.010690795 0.00083328324 0.0006613359 0.0025816148 0.00043167197 0.0007070282 0.0006276679 0.0010918054 0.00091023865 0.0014693681 0.00055191485 0.0011411051 0.00057235616 0.0004857813 0.00069259905 0.00092947757 0.00046293513 0.00045211328 0.0004076234 0.00087176095 0.0032357362 0.0004533157 0.0024794084 0.0013839956 0.0007948055 0.0005483076 0.00044008897 0.0010172549 0.0004448987 0.0004954007 0.00047375698 0.0008236638 0.00043768412 0.00072145736 0.0006396922 0.0012878013 0.00066614564 0.001682198 0.00052185415 0.00085372454 0.0006517165 0.00069259905 0.0015355017 0.0030625865 0.0024637769 0.004521133 0.0008008176 0.000972765 0.0004665424 0.00082967593 0.0006950039 0.011662358 0.0011170565 0.002223291 0.010060723 0.004236157 0.0010292792 0.0034581856 0.003274214 0.0018180725 0.001715866 0.00095593097 0.0012661576 0.0016353033 0.00086815364 0.000964348 0.0009162508 0.0027944448 0.0011182589 0.0028918416 0.0013154573 0.0017627608 0.00074670836 0.0015595503 0.00085131964 0.003274214 0.0006360849 0.0010557326 0.0017375097 0.001454939 0.0006986112 0.00054710516 0.0008188541 0.0023711899 0.0006396922 0.00085372454 0.0009631456 0.0023651777 0.0023639752 0.00053508085 0.00067456265 0.026840618 0.0058582337 0.0010629472 0.005735586 0.0063512293 0.0010136475 0.0006613359 0.00073348166 0.0070414236 0.0009499188 0.001766368 0.00089340465 0.008883545 0.0021102626 0.0039824448 0.0025214935 0.009787771 0.002968797 0.0029880358 0.0035122947 0.014474839 0.0038850477 0.0041820477 0.06701738 0.0 0.0 0.0 0.007398274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011391222 0.0 0.0 6.1411454e-05 3.2511944e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010554341 0.0 0.0 0.000104760715 7.285084e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004039308 0.0 0.0 0.0005484886 0.0003443858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052187694 0.0 0.0 0.0013998199 0.00077968463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01613315 0.0 0.0 0.0067679035 0.0042259507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031747313 0.0 0.0 0.0025172674 0.001706275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053524296 3.6124384e-06 1.746012e-05 6.502389e-05 0.00014449754 7.345292e-05 6.020731e-06 7.2248768e-06 1.5051826e-05 0.0 0.0 1.8062192e-06 7.8269495e-06 3.0103654e-06 4.8165844e-06 0.00034799823 0.00591898 0.00019988825 0.00020711313 0.00053464086 0.0018549871 0.0004738315 0.0023757804 0.0010337594 0.00018905094 9.7535834e-05 8.970888e-05 7.285084e-05 0.0006520451 0.0003690708 0.0003889392 0.0028044563 0.0129343355 0.00062254356 0.0009181614 0.0020205572 0.0040086024 0.0035034632 0.0067630867 0.003115728 0.00044071747 0.00022878776 0.0003016386 0.00032090495 0.0020217614 0.0010722921 0.0010891502 0.0087270485 0.020165233 0.0012649555 0.0011975233 0.002017547 0.007103258 0.0024865617 0.0064963684 0.0031614855 0.0023221958 0.00094645884 0.0009482651 0.0012968654 0.003939966 0.0025726582 0.002596139 0.009302028 0.01963601 0.001516622 0.0012149834 0.0022017811 0.009153918 0.0039267205 0.0057148775 0.0033089935 0.005643231 0.0013727265 0.0017273476 0.0022385076 0.0037509152 0.0017213268 0.0039279247 0.009392941 0.07190498 0.009537439 0.007073154 0.009793922 0.0408639 0.029731572 0.020697465 0.013555073 0.05000819 0.0051404997 0.005882856 0.008882384 0.016309557 0.006872062 0.026659794 0.05933129 0.058542572 0.009841486 0.008858903 0.011339444 0.027319668 0.029735183 0.017168114 0.014194475 0.04840246 0.005717888 0.0062982864 0.008890211 0.02049878 0.01062659 0.02436951 0.04714834 0.00022698154 4.6359626e-05 8.368815e-05 5.0574137e-05 8.790266e-05 9.633169e-05 4.2145115e-05 6.3819745e-05 0.00013064986 2.8297434e-05 3.2511944e-05 2.8297434e-05 8.188194e-05 5.8401085e-05 7.104462e-05 0.00010415864 5347.0 20.867403 111578.0 0.004194375 9.858574e-05 0.00043019233 7.169872e-05 0.002581154 0.00043915468 9.858574e-05 0.0001344351 0.00030471958 0.0003136819 0.0005646274 0.000448117 0.00038538064 0.010978866 0.000869347 0.00035849362 0.051954687 0.016804388 0.051488645 0.013470397 0.049418345 0.014725125 0.049642403 0.012851996 0.051416945 0.0147340875 0.00063632615 0.00039434296 0.0007349119 0.00041226766 8.9623405e-05 0.00010754808 0.0010485938 0.0065693953 0.0057000485 0.0111760385 0.0054939147 0.012421804 0.0036387101 0.0023660578 0.0037910698 0.013551058 0.0018910537 0.0030740828 0.0052519315 0.005135421 0.0034146516 0.0070981733 0.009939236 0.0020165266 0.0046066428 0.015764756 0.010064708 0.004821739 0.0045439065 0.002688702 0.0021419993 0.0041226763 0.0011740666 0.0023033214 0.000896234 0.0021509617 0.0022405852 0.017091183 0.00019717148 0.025542669 0.015110506 0.02220868 0.022710571 0.04215885 0.0137571925 0.00926706 0.017835056 0.028079012 0.010575562 0.0068113785 0.02124971 0.010754808 0.0336267 0.027926652 0.017153919 0.0036835219 0.034361612 0.023257272 0.035015862 0.010163294 0.012421804 0.0063363747 0.013183602 0.0051443833 0.0008066106 0.0002240585 0.00042122998 0.00019717148 0.00023302085 0.00024198319 5.613392 0.0 2.0 14.0 4.0 831650.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.614869 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0