Input: 0.08833309 0.0056695607 0.0043552592 0.004127482 0.005318731 0.0037177447 0.003525312 0.0032268453 0.006360747 0.003383933 0.0030946296 0.003200664 0.005420838 0.0032883713 0.002860307 0.0064366725 0.0047532152 0.0029859773 0.0030566668 0.0028694705 0.0037779617 0.0035384027 0.003179719 0.0029165968 0.0036392007 0.0029126697 0.0028616162 0.0028655434 0.003239936 0.002840671 0.0027333277 0.0029728867 0.0042911153 0.002858998 0.0030920117 0.0030488125 0.004085592 0.0029296875 0.0027830722 0.0030278673 0.0031692465 0.002819726 0.0027136917 0.0033695335 0.0029048154 0.00362611 0.0029951409 0.0027582 0.0038787597 0.0034480772 0.0033119344 0.0051734247 0.003543639 0.003305389 0.0031574648 0.003420587 0.0035907654 0.0034768768 0.0033891692 0.0040908284 0.0033930966 0.0037229809 0.0031037931 0.0047126343 0.005196988 0.003403569 0.0064536906 0.0049024485 0.003404878 0.008936987 0.0032962258 0.0031352106 0.003484731 0.0030029952 0.0031181928 0.0038093792 0.003184955 0.0053318217 0.0030671393 0.0029532507 0.005076554 0.0035082942 0.0029100515 0.0035737476 0.0033289522 0.00427017 0.0039808666 0.0036418189 0.0031142656 0.004496638 0.0028144899 0.0030540486 0.0030579758 0.0041510453 0.0035397117 0.0034114234 0.003459859 0.0039743213 0.0030985568 0.0034768768 0.0039193407 0.004771542 0.004369659 0.002878634 0.0038931593 0.0037714164 0.0043631135 0.0029349239 0.003480804 0.0030056133 0.0037910524 0.003966467 0.0042361342 0.0029087425 0.0042191166 0.0040921373 0.0064563085 0.0066984855 0.003181028 0.0029048154 0.0031443741 0.0030566668 0.0029637231 0.0028681615 0.0031640101 0.0033721514 0.003124738 0.003241245 0.0036758545 0.0032320814 0.002938851 0.0075061787 0.0035370938 0.0058737746 0.002900888 0.0030043041 0.003404878 0.0062861303 0.003224227 0.014033177 0.0029179058 0.00565647 0.0028053264 0.0027490365 0.0029938316 0.0028328167 0.0027163099 0.0029152879 0.0029218332 0.0028720887 0.0027843814 0.0026770378 0.0029728867 0.0028288895 0.002658711 0.0027241644 0.0028118717 0.0027896175 0.0028563798 0.0029571778 0.003020013 0.003140447 0.0026914377 0.0030082313 0.0028917247 0.0028537617 0.0028432892 0.0026888195 0.0030108495 0.002694056 0.0026521657 0.0026456204 0.0029545596 0.002739873 0.0027228552 0.002838053 0.0030749936 0.0027320187 0.0027110737 0.0028223442 0.0028707795 0.0027961629 0.0036876362 0.0030461943 0.0033093165 0.0028013992 0.0029100515 0.0027359459 0.002979432 0.0030854663 0.0029061243 0.0031221202 0.005859375 0.0037308354 0.0033132436 0.0044796206 0.003541021 0.0030226312 0.0035357845 0.0037439258 0.0036195647 0.003525312 0.0028668523 0.0027267823 0.0035279302 0.0028629252 0.0029977588 0.0028760158 0.0031522287 0.0029427782 0.0029296875 0.002879943 0.0030619032 0.0028262713 0.0028720887 0.0028511437 0.0034140416 0.0031024842 0.0028969608 0.003099866 0.0031103385 0.002958487 0.0027503455 0.002840671 0.0034873493 0.0028537617 0.0027516547 0.0027922357 0.003365606 0.0034742586 0.0028144899 0.0026508567 0.007671121 0.0037360715 0.0026233662 0.004344787 0.00485794 0.0026286026 0.0028681615 0.0028969608 0.0049613565 0.003021322 0.0030475033 0.0030278673 0.004069883 0.0028851794 0.003321098 0.0034533136 0.0045411466 0.0029964498 0.0030147766 0.0029624142 0.004912921 0.0033315704 0.004266243 0.018347856 0.02147651 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012367606 1.0486578e-05 4.5878774e-06 5.243289e-06 7.2095218e-06 1.17974e-05 9.831166e-06 5.8987e-06 4.5878774e-06 5.8987e-06 9.175755e-06 5.243289e-06 7.864933e-06 9.831166e-06 3.2770554e-06 4.5878774e-06 0.0012026794 1.0486578e-05 9.831166e-06 9.175755e-06 1.1141989e-05 9.175755e-06 1.5729865e-05 9.175755e-06 1.44190435e-05 1.1141989e-05 4.5878774e-06 3.2770554e-06 5.243289e-06 4.5878774e-06 1.31082215e-05 8.520344e-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 0.0010735634 3.4736786e-05 4.0635485e-05 5.243289e-06 4.3912543e-05 2.6871854e-05 3.080432e-05 3.2770553e-05 7.2095218e-06 2.6216444e-06 1.1141989e-05 1.9662332e-06 1.9662332e-06 6.5541108e-06 6.5541108e-06 1.5729865e-05 0.0033249003 3.2115142e-05 0.00019269086 2.0973155e-05 0.0002490562 7.406145e-05 0.0008618656 0.0003965237 7.864933e-06 4.3912543e-05 3.2770554e-06 6.5541108e-06 5.243289e-06 2.6216444e-06 5.8987e-06 0.00014156879 0.009676489 0.000261509 0.000593147 0.0001245281 0.0011259962 0.00029034712 0.00064492447 0.0004673081 0.00012518352 0.00016254194 7.73385e-05 6.947357e-05 5.1777475e-05 7.537227e-05 7.602768e-05 0.0009431365 0.0039324663 4.260172e-05 0.00022939387 9.634543e-05 0.00065344485 0.00014287961 0.000401767 0.00023856963 0.0001186294 8.25818e-05 3.735843e-05 8.782509e-05 2.9493498e-05 6.750734e-05 3.080432e-05 0.000519741 0.008828388 0.00031721895 0.0008920145 0.00046009858 0.0021477821 0.0007465132 0.0041002515 0.0022762427 0.0004686189 0.00018548133 0.00012256188 0.00020448826 0.00011207529 9.831166e-05 7.73385e-05 0.00043912543 0.0089968275 0.0003847263 0.0006921141 0.00047189597 0.002010801 0.000593147 0.0024459942 0.0014215866 0.0009241296 0.0005027003 0.00022939387 0.0002824822 0.000390625 0.00021497483 0.00026937394 0.00030345534 0.0026144348 0.00058921456 0.00046927432 0.0067671193 0.0004987678 0.0004673081 0.0004620648 0.00045944317 0.00047779467 0.0004745176 0.00046009858 0.00043519295 0.00048303796 0.00041815225 0.0004194631 0.00061149854 0.0063620755 0.0008422032 0.000508599 0.00076748634 0.0033203126 0.0011063339 0.0009175755 0.0010008127 0.00465604 0.00031590814 0.00040635487 0.00048303796 0.0013861944 0.00035457738 0.0017368393 0.0040235687 0.028503172 0.004135644 0.0030424183 0.004562972 0.010568503 0.0080609005 0.0045085726 0.0068516675 0.017990379 0.0012964031 0.0015238307 0.0026544149 0.007802669 0.002362757 0.008102192 0.015550283 0.0123964455 0.0026124686 0.0018993813 0.0026878407 0.0041225357 0.0046068844 0.0026255767 0.0042667263 0.0073412596 0.000699979 0.00090315647 0.0013082005 0.004334889 0.0020140782 0.00379483 0.007472997 0.0421816 0.041916814 0.04193189 0.042586647 0.041981045 0.04185193 0.04216325 0.04224321 0.041673657 0.041574035 0.041648753 0.042090498 0.041672345 0.04208001 0.04133743 0.04220782 3376.0 8.644846 29185.0 0.02329964 0.0051396266 0.005653589 0.0057906457 0.012951859 0.005585061 0.005173891 0.007366798 0.0076751756 0.0055165323 0.005585061 0.005619325 0.0070926845 0.0060990234 0.009080007 0.005173891 0.012712009 0.010450574 0.011684084 0.011786877 0.012437896 0.01164982 0.009251328 0.011409971 0.012712009 0.011512764 0.0105533665 0.009114271 0.011684084 0.010724687 0.009731026 0.012712009 0.026280623 0.008840158 0.0053109475 0.009319856 0.0078122322 0.007332534 0.0065101935 0.007538119 0.008600309 0.006955628 0.004865513 0.006167552 0.009045742 0.005996231 0.0058591743 0.0053794757 0.0121637825 0.006578722 0.006989892 0.009731026 0.008566044 0.0083604595 0.009970875 0.009217064 0.0072640055 0.005756382 0.00623608 0.0052766833 0.007538119 0.0051396266 0.005756382 0.010861744 0.008394724 0.023676546 0.012540689 0.018811032 0.017988693 0.033270516 0.008908686 0.008291931 0.010690423 0.023368169 0.007229741 0.0056878533 0.018845297 0.010073668 0.021038204 0.029295871 0.01411684 0.0060990234 0.027342813 0.023573754 0.032105535 0.012335104 0.0076751756 0.0058591743 0.009251328 0.008668837 0.006373137 0.0055507966 0.007366798 0.004522871 0.0054822685 0.00541374 6.3715134 0.0 0.0 0.0 12.0 763904.0 786432.0 1.0 0.0 76.0 1.0 1.0 0.0 1.0 0.0 1537790200.0 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 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 14.0 0.0 5.0 1.0 5.0 1.0 149504.0 1024.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 -512.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -526848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150528.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.5433187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4358325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8991437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.423662 0.0 7.885394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -10420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65770.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -530428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150245.0 0.0 7760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 219664.0 7760.0 765952.0 0.0 0.0 0.0 0.0 10420.0 774144.0 28.0 205888.0 0.0 0.0 0.0 0.0 24.0 206012.0 64.0 205920.0 0.0 0.0 308.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.05687231 0.008315807 0.0061846413 0.005659903 0.005758616 0.0049678716 0.004196869 0.0054261084 0.0050530764 0.0056328867 0.003747984 0.0044659926 0.004949168 0.0031712912 0.0043309117 0.0046436763 0.005041647 0.0037614922 0.0049315034 0.004156345 0.0043558497 0.0031775257 0.0041127033 0.003842541 0.005079054 0.0033406625 0.0031660958 0.002928145 0.004154267 0.0034383365 0.0037905867 0.0037895476 0.0061732116 0.0038144856 0.0034840563 0.0030175066 0.00488994 0.0041636187 0.0038394239 0.0037178507 0.00473096 0.0038944953 0.0033281932 0.0030964771 0.004371436 0.0037157724 0.0037251243 0.0035848476 0.0055206656 0.0039558015 0.0030943989 0.0028969725 0.0036783654 0.0030736171 0.0026881162 0.0028616437 0.004181283 0.0033136462 0.0035193851 0.0033437796 0.0040046386 0.0032232455 0.0035027598 0.0034611963 0.0066065104 0.0039526843 0.0036180983 0.0032201284 0.0041521885 0.003217011 0.0035464014 0.0030632264 0.0050063175 0.0037750003 0.0037022643 0.0035848476 0.004131407 0.0031276497 0.003552636 0.0034643137 0.0051736105 0.0036284893 0.003648232 0.0033313106 0.003928785 0.0033780695 0.003362483 0.0035391278 0.0046457546 0.003651349 0.003806173 0.003506916 0.0041054296 0.0033894994 0.0036949909 0.003783313 0.0059165573 0.0036295285 0.0033448187 0.0029520441 0.004012951 0.0030549136 0.0032658482 0.0030320538 0.004974106 0.003167135 0.0032035029 0.0030517965 0.003577574 0.0028346274 0.0030808907 0.0031858385 0.0045023607 0.0032845517 0.0032242846 0.0031390795 0.003890339 0.0033323497 0.003287669 0.0036232937 0.0046312073 0.0032959816 0.0034757436 0.0031692132 0.0040368503 0.0031951903 0.0034674308 0.0033385842 0.0086649405 0.0046021133 0.004012951 0.0035245807 0.0043787095 0.0034362583 0.0030143892 0.0033853431 0.0045345724 0.0038331891 0.0029551613 0.0031889558 0.0037261634 0.0028003375 0.0028398228 0.002975943 0.0052442686 0.003202464 0.00349133 0.003022702 0.0036658964 0.0031868776 0.0033011772 0.003261692 0.0045480807 0.0028377445 0.0030382883 0.002698507 0.0035121115 0.0032294802 0.002986334 0.0031505097 0.0050083958 0.0034050858 0.0032720827 0.0027889076 0.0037718832 0.0030143892 0.0030559527 0.003180643 0.004140759 0.0029936074 0.0031245325 0.0030143892 0.0036471928 0.0028387837 0.0029094415 0.0030372492 0.0046706926 0.0031099853 0.003842541 0.002853331 0.0035640658 0.0031484314 0.0029894512 0.0031234934 0.0042540194 0.0031411578 0.0033323497 0.0031640176 0.003648232 0.003189995 0.0033178024 0.003350014 0.0067291227 0.004062827 0.003720968 0.003337545 0.0041147815 0.00325234 0.0032980598 0.0032305191 0.004334029 0.0033261152 0.0031120633 0.0030777736 0.0036451146 0.0029821775 0.0030788125 0.0028024158 0.0042457064 0.003277278 0.003084008 0.0029915294 0.003710577 0.00301335 0.0029343797 0.0029468487 0.0039786613 0.003106868 0.0027286406 0.0026320056 0.0035339324 0.0029468487 0.003578613 0.002879308 0.0049533243 0.0032357147 0.0033884603 0.002972826 0.0038082511 0.0030705 0.0031993466 0.0029000898 0.0044379374 0.0054624765 0.003469509 0.003129728 0.003783313 0.003072578 0.0032377928 0.0031868776 0.004612504 0.0033219587 0.003419633 0.003035171 0.003745906 0.0030860861 0.0033094897 0.0032409101 0.004351693 0.0030320538 0.0031847993 0.0028616437 0.0040119123 0.003095438 0.0042218077 0.0045304163 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0046011917 0.00029411397 0.00027225065 0.00027173007 0.0003008812 0.00024153784 0.00033315565 0.00030868954 0.0003326351 0.00035241622 0.00032951176 0.00035293677 0.00052315847 0.00015408448 0.00018479727 0.00074179185 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09934441 0.062011197 0.062440135 0.055306442 0.060597368 0.059551053 0.05493841 0.054448564 0.060464107 0.05314041 0.05209097 0.052905638 0.05640377 0.050500672 0.05660575 0.05381401 4011.0 5.7053103 22884.0 0.017129872 0.010443978 0.00943891 0.008608635 0.013502884 0.012454117 0.011754938 0.011492746 0.0125852125 0.009701101 0.008477539 0.008608635 0.013896172 0.010531375 0.011798637 0.009919594 0.016780283 0.011886034 0.008696032 0.0075161685 0.009875895 0.008477539 0.007822059 0.008346443 0.010269184 0.008477539 0.009613704 0.008827128 0.011580143 0.009001923 0.0096574025 0.009220416 0.018047543 0.010924663 0.010356581 0.00908932 0.010837266 0.008870827 0.010662472 0.0083027445 0.014245762 0.01166754 0.009788498 0.009001923 0.011449047 0.009395211 0.01166754 0.009613704 0.014813844 0.009613704 0.009963294 0.009001923 0.012104527 0.009395211 0.009613704 0.009788498 0.013677679 0.009220416 0.010575075 0.009526307 0.011143156 0.009832197 0.010400279 0.01070617 0.017960146 0.011012061 0.009701101 0.008171649 0.013109596 0.008259046 0.009395211 0.008346443 0.015469324 0.009307813 0.008914526 0.008696032 0.01136165 0.007953155 0.009919594 0.007909456 0.013196994 0.007996853 0.008739731 0.008739731 0.011449047 0.00943891 0.008215347 0.007909456 0.010968362 0.008870827 0.011886034 0.008477539 0.011230554 0.009001923 0.009963294 0.008739731 6.554511 0.0 0.0 0.0 14.0 962384.0 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


Input: 0.2257575 0.0057538007 0.0030682539 0.003121041 0.004526499 0.003523543 0.0028175148 0.0023160367 0.0032464105 0.00230284 0.0023688239 0.0021576753 0.0030616554 0.0025007918 0.0019465266 0.0031342378 0.0029032938 0.0029560812 0.0032200168 0.002454603 0.0023622254 0.0024150126 0.0024150126 0.0024678 0.002606366 0.0025799726 0.0024084144 0.0020257074 0.0027911211 0.0026129645 0.0025799726 0.0021576753 0.007845492 0.0025271855 0.002553579 0.0030946473 0.005404086 0.0026921453 0.0026327597 0.002421611 0.0044869087 0.0027845227 0.0025601774 0.003774282 0.0029032938 0.0039854306 0.0029032938 0.0052787163 0.0046188766 0.0032266153 0.0028439083 0.0037412902 0.0028109164 0.0034773543 0.0023424304 0.002586571 0.0024941934 0.002355627 0.0019861169 0.00230284 0.004038218 0.003965636 0.0025931695 0.0022434543 0.004420925 0.0032200168 0.004203178 0.0026921453 0.0037940773 0.0050675673 0.0028175148 0.0026459566 0.0026855469 0.0030484586 0.003088049 0.0039722337 0.0028175148 0.00407121 0.002857105 0.0028769004 0.0038930532 0.0027581293 0.0025601774 0.0032662055 0.003391575 0.004994985 0.00320682 0.0032596074 0.0027449324 0.0024612015 0.0025271855 0.0023424304 0.0026855469 0.0030484586 0.005245724 0.006862331 0.0023160367 0.005595439 0.0027053421 0.004091005 0.004434122 0.008043444 0.0035169446 0.0038072742 0.004473712 0.0048828125 0.002236856 0.0025931695 0.004843222 0.003088049 0.004790435 0.004051415 0.0049026078 0.0036753062 0.004361539 0.0041305954 0.004724451 0.0052325274 0.0037016997 0.0028241132 0.0038534629 0.00267235 0.0024678 0.0021840688 0.0026327597 0.0025337837 0.002421611 0.0023424304 0.0038798563 0.0027053421 0.0024480047 0.003437764 0.0025139886 0.0019927153 0.0020916914 0.0025733742 0.0027581293 0.00567462 0.002553579 0.0050741658 0.0022962415 0.0025931695 0.0022830449 0.0022632496 0.003391575 0.0034245672 0.0026789485 0.0032860008 0.0023622254 0.0024743981 0.0023754223 0.0024941934 0.002540382 0.002936286 0.002606366 0.002553579 0.0030286633 0.002520587 0.002520587 0.002355627 0.0023886191 0.0023952175 0.0023490288 0.0025007918 0.0033255913 0.0022632496 0.0022500528 0.0021180848 0.0024282094 0.0021972656 0.002421611 0.0022632496 0.0027647277 0.0025601774 0.003523543 0.0023424304 0.002989073 0.0027779243 0.003919447 0.0023952175 0.0024743981 0.002553579 0.0027581293 0.0025139886 0.0028769004 0.003589527 0.00267235 0.0024480047 0.0027449324 0.002619563 0.0043285475 0.002269848 0.0030154667 0.0028834988 0.002771326 0.0029560812 0.0043483423 0.0026129645 0.003272804 0.0041833827 0.003840266 0.002870302 0.0026261613 0.0022302575 0.0038270692 0.0026393582 0.0022500528 0.0021246832 0.0028637035 0.002454603 0.0023226351 0.0025139886 0.0027911211 0.0025073902 0.0023292336 0.0020059121 0.0028505067 0.002520587 0.0021114864 0.0025271855 0.0025469805 0.002923089 0.0031606313 0.0020389042 0.0024480047 0.0025271855 0.0022764464 0.0022500528 0.0029494828 0.0027779243 0.0023886191 0.0021444785 0.0042163744 0.002804318 0.0028307117 0.0027779243 0.0032794024 0.0023094383 0.0024282094 0.0022566512 0.0030616554 0.0020586993 0.0022764464 0.0026987437 0.0026987437 0.002203864 0.0025337837 0.0031012457 0.0029956715 0.002421611 0.0021048882 0.0026129645 0.0027251372 0.002203864 0.0025073902 0.0058065876 0.08160276 3.321641e-06 3.321641e-06 0.0 3.321641e-06 6.643282e-06 6.643282e-06 0.0 0.0 3.321641e-06 0.0 3.321641e-06 0.0 0.0 0.0 0.0 0.006553598 3.321641e-06 6.643282e-06 9.964923e-06 4.982462e-05 9.964923e-06 0.00011957908 4.3181335e-05 0.0 0.0 3.321641e-06 0.0 0.0 0.0 3.321641e-06 0.0 0.012618915 2.3251489e-05 0.00016276042 5.3146257e-05 0.00023583652 2.989477e-05 0.00024580144 8.636267e-05 1.3286564e-05 1.3286564e-05 9.964923e-06 6.643282e-06 0.0 0.0 3.321641e-06 0.00010297087 0.01821588 0.00020594175 0.00016608206 9.6327596e-05 0.00032884246 0.00017604697 0.00031555592 0.00014283057 6.975447e-05 9.6327596e-05 8.304103e-05 0.00010961416 0.00011625744 7.9719386e-05 8.304103e-05 0.00012290072 0.011127498 9.3005954e-05 7.9719386e-05 0.0013552296 7.9719386e-05 5.978954e-05 8.636267e-05 6.6432825e-05 7.30761e-05 7.9719386e-05 9.3005954e-05 9.964924e-05 5.3146257e-05 7.30761e-05 8.636267e-05 9.964924e-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 0.009935029 0.00011957908 0.00035209395 0.0002923044 0.00042517006 0.00016608206 0.00129544 0.00064772 5.3146257e-05 2.3251489e-05 7.30761e-05 5.3146257e-05 5.3146257e-05 3.3216413e-05 3.9859693e-05 4.3181335e-05 0.02639376 0.00019597683 0.0032286353 0.00015611714 0.0014681654 0.00074736925 0.009732408 0.0047001224 0.00013286565 6.975447e-05 3.653805e-05 3.653805e-05 0.00013618729 5.978954e-05 0.0002424798 0.0002823395 0.016305937 0.00021922831 0.0016309258 0.0002989477 0.0015910661 0.0014748087 0.0025377339 0.00094334607 0.0004118835 0.00016276042 0.0 1.3286564e-05 0.0006211469 6.643282e-06 6.643282e-06 0.0009865274 0.010217369 0.00017604697 0.0014980602 0.00014283057 0.0009300595 0.00056800066 0.0027868568 0.0018102945 0.00087026996 0.00012622237 4.3181335e-05 0.00022919325 0.00030891263 0.00011625744 0.00031887754 0.0002657313 0.013894425 0.00044842155 0.0012256856 0.0009101297 0.0015312766 0.0014781303 0.0021590667 0.0014083758 0.00033548576 0.00053810584 0.0005214977 0.000777264 0.00090016477 0.00035873725 0.00040191857 0.0003221992 0.008749203 0.00021922831 0.0012456154 0.0010894983 0.0012323288 0.00061782525 0.0021025988 0.0014615221 0.0007008663 0.0002657313 0.00021922831 0.00047831633 0.0007141529 0.0003620589 0.00030226936 0.00064772 0.002979512 0.00018601191 0.00015943877 0.00021922831 0.00064107677 0.00040524022 0.00023915817 0.00025244473 0.00011957908 0.0002657313 0.00019929848 0.00021258503 0.00021258503 0.0001694037 0.00023915817 0.00030226936 0.0019132653 5.978954e-05 0.0005148544 0.0007739424 0.0005015678 0.0003952753 0.00056800066 0.0003620589 0.00027237457 0.00011957908 9.6327596e-05 0.00032884246 0.00047499468 0.00021258503 0.00011957908 8.968431e-05 0.006729645 0.0014748087 0.0034644718 0.0024912308 0.0050090346 0.0046336893 0.0022155347 0.0027104593 0.007991869 0.0014249841 0.0011027849 0.0020129145 0.004258344 0.001637569 0.0030858046 0.0041786246 0.040185213 0.03774713 0.044420306 0.040025774 0.040490806 0.044805616 0.041334502 0.04033469 0.036401864 0.04064028 0.037860066 0.041842714 0.040892724 0.03762755 0.037999574 0.036846966 705.0 6.402837 4514.0 0.010190519 0.0050952593 0.0073105893 0.0059813913 0.011076651 0.003987594 0.0055383253 0.005316792 0.011076651 0.005759858 0.00443066 0.006202924 0.0055383253 0.007975188 0.009747452 0.007975188 0.028356224 0.007089056 0.01329198 0.01329198 0.00664599 0.008639787 0.0046521933 0.009525919 0.00886132 0.0059813913 0.00443066 0.0059813913 0.00664599 0.009747452 0.008418255 0.0064244573 0.007532122 0.008196721 0.00664599 0.009525919 0.011519716 0.005316792 0.007532122 0.011076651 0.0068675233 0.011519716 0.0064244573 0.028799292 0.00664599 0.0077536553 0.00664599 0.010190519 0.0059813913 0.0042091273 0.0064244573 0.009082854 0.012405848 0.009304387 0.007532122 0.012405848 0.00664599 0.00664599 0.00664599 0.003987594 0.007975188 0.007975188 0.03256535 0.019937972 0.0068675233 0.013070447 0.007089056 0.01174125 0.013956579 0.025476296 0.011298183 0.014842711 0.035888348 0.015950376 0.007975188 0.010633584 0.03544528 0.012627382 0.013956579 0.020824103 0.009082854 0.027691627 0.017501108 0.011076651 0.019937972 0.014399646 0.009304387 0.0077536553 0.005759858 0.008639787 0.0068675233 0.006202924 0.0073105893 0.0042091273 0.0042091273 0.009304387 6.349373 0.0 0.0 0.0 5.0 151552.0 159744.0 1.0 0.0 40.0 1.0 1.0 0.0 0.0 0.0 802771300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 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 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0512176 0.0 0.0 0.0 0.0 0.0 5.033283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.886166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.721401 0.0 4.121711 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -97903.0 0.0 0.0 0.0 0.0 0.0 2136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8382.0 0.0 16704.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 17312.0 16704.0 135168.0 0.0 0.0 0.0 0.0 412.0 155648.0 56.0 16576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 16384.0 64.0 83328.0 0.0 0.0


Input: 0.031339 0.004680173 0.003842309 0.004254049 0.005199793 0.0038872587 0.004469808 0.004005926 0.004232473 0.0041695433 0.004059866 0.004040088 0.0041857255 0.004009522 0.0037578032 0.0038980467 0.004005926 0.0039070365 0.0035402463 0.0037218435 0.004094028 0.0038710767 0.0035456403 0.0036319438 0.0037703891 0.0036589138 0.0037002675 0.0037883692 0.0036553177 0.0036157619 0.0036786916 0.0037020654 0.0054838755 0.0035564282 0.0037074594 0.0036732976 0.0039573805 0.003612166 0.0034143869 0.003612166 0.0037524092 0.0037290354 0.0037110555 0.0037362273 0.0036822876 0.0036912775 0.0038854608 0.003597782 0.0046532033 0.0038854608 0.0039447946 0.0044014845 0.003820733 0.0037452173 0.0034899025 0.0037236414 0.0037829753 0.0036858837 0.003603176 0.0036625096 0.0035636202 0.003601378 0.0036445297 0.003613964 0.0041839276 0.0039825523 0.0036768937 0.0037020654 0.003996936 0.0041335835 0.0037775813 0.0037901672 0.0037829753 0.0037416213 0.0036750957 0.0037074594 0.0036157619 0.0039160266 0.0034629325 0.003601378 0.004281019 0.0037721873 0.0036517219 0.003921421 0.0036319438 0.0039627743 0.0038638848 0.0038980467 0.0036589138 0.0037092576 0.00359059 0.0037434194 0.003624752 0.0036679036 0.0037829753 0.0036912775 0.003583398 0.004665789 0.0036319438 0.0040239063 0.0040023304 0.0050523574 0.0044014845 0.003987946 0.0037631972 0.0043475446 0.0036966715 0.0037020654 0.0043511405 0.0038584908 0.0043799086 0.004525546 0.0038441068 0.0035366502 0.0043763127 0.004352939 0.0044338484 0.0042306753 0.003791965 0.0041120076 0.0036589138 0.0037128534 0.0037254395 0.003576206 0.0037200456 0.003820733 0.0036661057 0.0037721873 0.004106614 0.0036571156 0.0035384484 0.0040131183 0.0035672162 0.0038746728 0.0036732976 0.0036948735 0.0038980467 0.0039555826 0.0036822876 0.004937286 0.0036445297 0.003996936 0.0037056615 0.0035618222 0.0035726102 0.003592388 0.003586994 0.0034899025 0.003630146 0.0035582262 0.0036463279 0.003808147 0.0035690141 0.004106614 0.0035096803 0.0035132763 0.0034485487 0.0034341647 0.00360857 0.0035348523 0.003775783 0.0034161848 0.0034018008 0.0036499237 0.0036157619 0.003403599 0.0035168724 0.003597782 0.0035474382 0.0035690141 0.003610368 0.0035168724 0.0034395587 0.0035168724 0.0035582262 0.0034449527 0.003595984 0.0036930756 0.003592388 0.0034917004 0.0036535198 0.0035402463 0.0036571156 0.0036786916 0.0038441068 0.0036265498 0.0035618222 0.003408993 0.0036319438 0.0034809124 0.003619358 0.0037991572 0.004095826 0.003835117 0.0036786916 0.0036930756 0.003579802 0.003586994 0.0036930756 0.0036625096 0.0037578032 0.003612166 0.003595984 0.0034701247 0.0043169786 0.003576206 0.003597782 0.0036894795 0.0036750957 0.003592388 0.003595984 0.0037038636 0.0036732976 0.0035366502 0.0034197809 0.0036157619 0.0037164495 0.003842309 0.0036283478 0.003624752 0.0034917004 0.003560024 0.0036229538 0.0036265498 0.0039304104 0.003583398 0.0035186703 0.0034665286 0.0037542074 0.0038584908 0.0040994217 0.0042414633 0.0043673227 0.0036445297 0.00361756 0.0036840856 0.0037793792 0.003612166 0.0036912775 0.0035132763 0.0038387128 0.003585196 0.003604974 0.0035024884 0.003811743 0.0037002675 0.0037685912 0.0038638848 0.0039627743 0.0036750957 0.0037470153 0.0039358046 0.0039519863 0.0038800668 0.0038836626 0.006936653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001479258 2.8828414e-05 2.7026637e-05 1.8918647e-05 4.0539955e-05 2.7026637e-05 2.612575e-05 3.0630188e-05 3.6035515e-05 1.1711543e-05 1.0810655e-05 1.1711543e-05 1.0810655e-05 1.0810655e-05 6.7566594e-05 7.2071034e-06 0.0014035833 2.2522197e-05 1.711687e-05 1.4414207e-05 6.3963045e-05 2.2522197e-05 0.0001558536 6.846748e-05 2.2522197e-05 9.008879e-06 8.107992e-06 8.107992e-06 5.4053276e-06 7.2071034e-06 9.909767e-06 6.3062153e-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 0.010869212 0.0001486465 0.0013621425 0.0008954826 0.0005972887 0.00029999568 0.004035077 0.0015288068 3.2431966e-05 1.4414207e-05 5.4053275e-05 9.909767e-05 0.00010720566 9.008879e-05 0.00011080921 5.0449722e-05 0.0074052988 0.00021531222 0.00094683317 0.0006017931 0.0005585505 0.00034504008 0.001960332 0.00068107125 8.468347e-05 7.6575474e-05 0.00017026781 0.00033963475 0.00019098824 6.1260376e-05 0.00050990254 0.0006126038 0.0008936808 2.4323974e-05 9.279146e-05 7.297192e-05 5.94586e-05 1.26124305e-05 0.00010180033 3.873818e-05 4.5044394e-06 0.0 0.0 4.5044395e-05 6.3062153e-06 1.3513319e-05 0.00014594384 0.00033332853 0.0031576122 0.00017116871 0.00023963618 0.00041170578 0.00032612143 0.00021260955 0.0005495416 0.00045134485 0.00035134627 0.00015765539 7.567459e-05 5.22515e-05 0.00022612287 4.6846173e-05 0.00027296905 0.00067746773 0.003953096 0.0008288169 0.00024233885 0.00044503863 0.00027386993 0.00038197648 0.0007459352 0.00062791887 0.0006342251 0.0004702635 0.00016306071 0.00031621166 0.0006405313 0.00019279002 0.0012387208 0.0017603349 0.0027927526 0.00043152532 0.00031080632 0.0004396333 0.0007098997 0.0006864766 0.0004162102 0.0006053967 0.0013567372 0.00016666426 0.00013333141 0.00026666283 0.0008017903 0.00023963618 0.0005774692 0.0011351188 0.004620654 0.0011729561 0.0012080907 0.001535113 0.0016927684 0.0017089844 0.0016675435 0.0016134903 0.0025927555 0.0003126081 0.00038287736 0.0005135061 0.0012396218 0.00050179457 0.0010225078 0.0021999683 0.056753237 0.05690729 0.056365855 0.056333423 0.05641991 0.05680819 0.05623883 0.05669468 0.05645414 0.05648567 0.05566136 0.0563109 0.056312703 0.05685774 0.056500085 0.056955036 2596.0 6.498074 16869.0 0.016479934 0.008002846 0.009010611 0.009247732 0.009840536 0.008299247 0.007943565 0.007943565 0.008536369 0.008239967 0.008239967 0.007706444 0.00883277 0.009781255 0.01233031 0.010670461 0.016894896 0.011618946 0.01061118 0.011203984 0.010670461 0.008714209 0.009484854 0.011203984 0.009484854 0.009366293 0.009010611 0.007943565 0.009603415 0.0075286026 0.009247732 0.009129172 0.007825005 0.0133973565 0.008180686 0.011144703 0.012211749 0.00877349 0.009307013 0.01061118 0.009010611 0.010789021 0.007943565 0.008892051 0.007943565 0.008536369 0.011441105 0.009307013 0.011441105 0.009129172 0.009188452 0.011085423 0.010670461 0.009425574 0.01049262 0.010314778 0.010018377 0.008892051 0.008595649 0.008595649 0.007825005 0.009781255 0.009129172 0.009366293 0.008892051 0.01565001 0.008892051 0.014642243 0.010374059 0.023297172 0.01061118 0.011856067 0.009484854 0.01920683 0.009010611 0.008180686 0.012626711 0.012211749 0.014760803 0.013219515 0.011618946 0.007350762 0.016539214 0.014938645 0.016717056 0.011085423 0.010789021 0.012211749 0.008180686 0.009603415 0.01061118 0.008299247 0.009544134 0.008595649 0.008892051 0.010018377 6.542044 0.0 13.0 0.0 9.0 556176.0 565248.0 1.0 0.0 56.0 0.0 1.0 1.0 0.0 0.0 1239846700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 13824.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13824.0 0.0 532992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2183824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.56246835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5848804 0.0 7.9561677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1910.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13788.0 0.0 532768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 21036.0 532768.0 28672.0 0.0 0.0 5776.0 550400.0 0.0 0.0 28.0 20720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.68649983 0.0040558847 0.0026146674 0.0021657636 0.004016507 0.0016223538 0.0011734501 0.0010553176 0.0055364794 0.0009608115 0.0010868196 0.00075604836 0.0034179688 0.0014175908 0.0009923135 0.0023547758 0.0111280875 0.0009765625 0.00049615675 0.0003701487 0.0013624622 0.0015987273 0.0005355343 0.00048040575 0.0013624622 0.00045677923 0.0004095262 0.0006379158 0.0008741809 0.00050403224 0.0003543977 0.0006142893 0.0025359122 0.00043315272 0.00033077117 0.00043315272 0.0024650327 0.00050403224 0.00042527722 0.0006142893 0.0007324219 0.00048828125 0.00043315272 0.00065366685 0.0008033014 0.0004016507 0.0004095262 0.00027564264 0.0013545867 0.00085055444 0.0007875504 0.0021263862 0.000905683 0.0013860887 0.0010474421 0.0007954259 0.0012994582 0.0013230847 0.00074817287 0.0021263862 0.001000189 0.0015357233 0.0007717994 0.0007402974 0.0016223538 0.0014254663 0.00065366685 0.0008190524 0.0017326109 0.0062767765 0.0015987273 0.0010080645 0.0014412173 0.00086630543 0.0005512853 0.0003701487 0.0009765625 0.0031974546 0.0006300403 0.0007717994 0.0032447076 0.0013152092 0.00094506046 0.0021815146 0.0011025706 0.0021500126 0.0021972656 0.0015829763 0.0005906628 0.0022760206 0.00026776714 0.0007796749 0.00048040575 0.0012758316 0.0014648438 0.0013073337 0.00044890374 0.0013467112 0.0003543977 0.0008190524 0.0016696069 0.00304782 0.0013467112 0.0005276588 0.0013624622 0.0012600806 0.0025989164 0.00034652217 0.0012443296 0.0005985383 0.0015357233 0.0015672253 0.0008741809 0.00025989165 0.0020397555 0.0016302293 0.005969632 0.005733367 0.00057491177 0.00044890374 0.00066154235 0.00057491177 0.00031502015 0.00013388357 0.000968687 0.0015514743 0.00066941784 0.00041740172 0.001795615 0.00092143397 0.00031502015 0.007032825 0.0012679561 0.0025280367 0.00026776714 0.0001968876 0.0012679561 0.0049143145 0.0011734501 0.012876449 0.00048828125 0.0033785913 0.00069304433 0.0005591608 0.0018822454 0.00032289568 0.0001811366 0.00032289568 0.0007245464 0.0004410282 0.00034652217 0.0005670363 0.0003701487 0.00033864667 0.0011025706 0.00057491177 0.00045677923 0.0004095262 0.0006221648 0.00029139366 0.00045677923 0.0013545867 0.0003543977 0.00069304433 0.0005591608 0.00033864667 0.00031502015 0.00023626511 0.0003701487 0.00023626511 0.00016538559 0.00027564264 0.0003701487 0.0004410282 0.0001968876 0.0001968876 0.00065366685 0.00025201612 0.00021263861 0.00049615675 0.0005355343 0.00051190774 0.00051190774 0.00026776714 0.00084267894 0.00021263861 0.00029926916 0.00032289568 0.00074817287 0.0001968876 0.00032289568 0.00034652217 0.0035676034 0.0017719885 0.0005906628 0.0030084425 0.0013624622 0.00014963458 0.0008111769 0.0021027597 0.00084267894 0.00092143397 0.00027564264 0.0002205141 0.0031186996 0.00011813256 0.00030714466 0.0001968876 0.0006300403 0.00050403224 0.00075604836 0.0006379158 0.0007954259 0.00024414062 0.0003858997 0.0005591608 0.00075604836 0.00031502015 0.00037802418 0.0005827873 0.00042527722 0.00011025705 0.00023626511 0.0012207031 0.0017719885 0.00085055444 0.0004095262 0.0005906628 0.001000189 0.00066154235 0.00048040575 0.0005591608 0.0050560734 0.0010789441 0.00029926916 0.0023469003 0.002299647 0.00025989165 0.00033077117 0.0003543977 0.0016774824 0.00041740172 0.00033077117 0.00068516884 0.0010789441 0.0010395666 0.0014569683 0.000889932 0.0026619204 0.00067729334 0.00048828125 0.00046465473 0.0031895791 0.00044890374 0.0011655746 0.012522051 0.5525081 2.7788365e-05 2.3818597e-05 0.00011909299 1.984883e-05 2.3818597e-05 7.542556e-05 2.3818597e-05 3.969766e-06 0.0 0.0 7.939532e-06 0.0 3.969766e-06 7.939532e-06 0.0 0.0076418 0.00018260925 0.00013100229 0.0 7.939532e-06 3.969766e-06 0.0 1.1909298e-05 8.336509e-05 7.939532e-06 7.939532e-06 7.939532e-06 3.969766e-06 1.1909298e-05 2.7788365e-05 0.0 0.007614012 1.5879064e-05 5.557673e-05 3.5727895e-05 3.175813e-05 3.175813e-05 2.3818597e-05 3.969766e-05 3.5727895e-05 2.7788365e-05 3.969766e-05 2.7788365e-05 2.7788365e-05 3.969766e-05 3.5727895e-05 4.7637193e-05 0.0071138213 0.00026597435 0.00015879064 1.1909298e-05 2.7788365e-05 4.3667427e-05 1.5879064e-05 3.969766e-05 0.00016276042 3.175813e-05 6.351626e-05 1.1909298e-05 5.557673e-05 4.7637193e-05 3.969766e-05 3.969766e-05 0.013517054 0.00011115346 0.00023024644 0.00018657901 0.00026597435 0.00014688136 0.000984502 0.0003533092 2.3818597e-05 4.7637193e-05 1.984883e-05 8.336509e-05 0.000103213926 2.3818597e-05 4.3667427e-05 0.00011909299 0.0133463545 0.0004485836 0.00017863949 7.939532e-05 0.00017863949 0.00012306275 0.000103213926 0.0002342162 0.00014291158 0.00041682547 0.00013497206 9.1304624e-05 0.00016673018 0.00015879064 0.00019054877 0.00026597435 0.018280774 0.00052797893 0.00013497206 0.00010718369 0.0011829904 0.00092495553 0.0015720275 0.00075425557 7.145579e-05 0.00022230692 0.00015085112 7.939532e-05 6.748603e-05 5.1606963e-05 5.557673e-05 0.00020642785 0.005585461 0.00030170224 0.00015879064 0.00017069995 0.00020642785 0.00016673018 0.0006907393 0.00034933942 3.969766e-05 0.00019848831 1.984883e-05 2.3818597e-05 1.1909298e-05 3.969766e-05 5.9546495e-05 0.00010718369 0.00509321 0.00032155108 3.175813e-05 6.748603e-05 0.00038109755 0.000305672 3.969766e-05 0.00017466971 0.0006827998 3.5727895e-05 3.969766e-05 0.00011115346 0.00019451855 0.00014291158 0.00023818598 0.0002699441 0.008455602 0.00022230692 0.00021436738 0.004227801 0.00019848831 0.0002699441 0.0002699441 0.00023024644 0.00025406503 0.00030170224 0.00023024644 0.0002699441 0.0002461255 0.00026200459 0.00033346037 0.00027391387 0.005168636 0.0002818534 0.00022627668 0.00016673018 0.0013735391 0.0009567137 0.0045096544 0.0023223134 0.00010718369 9.527439e-05 0.0006034045 4.7637193e-05 4.7637193e-05 6.748603e-05 5.9546495e-05 0.00022627668 0.0005319487 0.00020245808 0.00019451855 0.004108708 0.00019451855 0.00025406503 0.00025406503 0.00022230692 0.00025009527 0.00030170224 0.00023024644 0.0002699441 0.0002461255 0.00026200459 0.00033346037 0.00027391387 0.012619887 0.0011988694 0.0012941438 0.00093289505 0.0015720275 0.0014330857 0.0023540715 0.0019213669 0.0014449949 0.0010519881 0.00085349975 0.0006034045 0.0017983041 0.0006232533 0.0010281694 0.0017903646 0.029999524 0.0068994537 0.0032988759 0.002496983 0.009833111 0.008173749 0.0036918826 0.005978468 0.018237107 0.0023223134 0.0014211764 0.0023143736 0.0069867885 0.002838383 0.0070542744 0.010404757 0.027883638 0.009749746 0.0039181593 0.0051448173 0.0064786584 0.009412316 0.0036323362 0.008411935 0.017304212 0.00169906 0.0015839367 0.0017943344 0.008332539 0.0028979294 0.0077886814 0.014049003 0.0031678735 0.0015045414 0.00169906 0.0010638974 0.0021000064 0.0010599276 0.0017625762 0.0018538808 0.0011393229 0.0022190993 0.0011948997 0.000968623 0.0011313834 0.0011115345 0.0011710811 0.0012425368 285.0 11.312281 3224.0 0.027915632 0.0018610422 0.0015508685 0.0012406948 0.0034119107 0.0009305211 0.0015508685 0.0015508685 0.003101737 0.0012406948 0.0003101737 0.0021712158 0.003101737 0.004962779 0.0046526054 0.0015508685 0.013957816 0.00837469 0.010235732 0.015198511 0.01085608 0.00837469 0.015818859 0.012717121 0.00837469 0.00837469 0.010545906 0.00837469 0.0089950375 0.010545906 0.011476426 0.009305211 0.003101737 0.009925558 0.0043424317 0.01085608 0.0043424317 0.009305211 0.009305211 0.010235732 0.0065136477 0.007444169 0.003101737 0.0012406948 0.0065136477 0.008064516 0.003101737 0.004032258 0.01674938 0.0037220845 0.00837469 0.026985113 0.023573201 0.003101737 0.009615385 0.010235732 0.0021712158 0.0027915633 0.0006203474 0.0015508685 0.0021712158 0.0024813896 0.0024813896 0.0058933003 0.0037220845 0.037220843 0.006203474 0.01923077 0.021401985 0.07847395 0.0058933003 0.00837469 0.01085608 0.03349876 0.0055831266 0.004962779 0.02760546 0.012096774 0.039081886 0.038151365 0.013957816 0.0003101737 0.044665013 0.020471465 0.05521092 0.022022333 0.0043424317 0.0012406948 0.006203474 0.0089950375 0.0027915633 0.0009305211 0.0027915633 0.0012406948 0.0021712158 0.0037220845 5.84558 0.0 0.0 0.0 2.0 126976.0 135168.0 0.0 20.0 63.0 1.0 1.0 0.0 0.0 0.0 1167276500.0 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 32768.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 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 8192.0 0.0 0.0 -61440.0 0.0 0.0 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 -32768.0 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 -4.3135157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.3329225 0.0 0.0 -0.5571704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0336573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5800714 0.0 3.3044662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4078.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5949.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32371.0 0.0 1096.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 509.0 42304.0 60.0 40832.0 1096.0 65536.0 0.0 0.0 0.0 0.0 2100.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.31151396 0.029998483 0.027116202 0.012666869 0.02072588 0.008115898 0.0235892 0.0073194783 0.010258647 0.004114836 0.016876517 0.007565989 0.004664745 0.0043803095 0.0035270024 0.0033373786 0.0032236043 0.008324484 0.012553095 0.0051956917 0.0034321905 0.007262591 0.0054042777 0.0036407767 0.0061438107 0.003413228 0.0024840715 0.003413228 0.0029960559 0.007072967 0.002806432 0.002901244 0.0073005157 0.000853307 0.0014790655 0.0009481189 0.0019341626 0.0017255765 0.0013652913 0.00083434465 0.009936286 0.001706614 0.0072246664 0.0026168083 0.0029960559 0.0022944477 0.0025409588 0.0011567051 0.0045320084 0.0022185983 0.0022754855 0.0018203884 0.0021617112 0.0015738774 0.0018583131 0.0015928398 0.0016307646 0.0015549151 0.00083434465 0.00077745755 0.002408222 0.0007205704 0.0016686893 0.0007205704 0.0013842536 0.004114836 0.0036787014 0.0042665354 0.003204642 0.0026736953 0.0024271845 0.0021427488 0.0022944477 0.0028822816 0.0008912318 0.0011946298 0.0026168083 0.0023702974 0.0023892596 0.0019341626 0.00350804 0.0018203884 0.003963137 0.004740595 0.003052943 0.002503034 0.0018962378 0.0017255765 0.0015738774 0.0018962378 0.0012894417 0.0005119842 0.00058783375 0.00073953276 0.0005119842 0.0055180523 0.0011567051 0.0114532765 0.0031098302 0.006560983 0.0062765474 0.023077214 0.0019341626 0.0056318264 0.0024271845 0.011282615 0.0017824636 0.0036976638 0.007774575 0.004740595 0.011149879 0.019227851 0.0051767295 0.0015169902 0.0105051575 0.011889411 0.0157767 0.0038304005 0.0016118021 0.0012325546 0.0015169902 0.004057949 0.0014790655 0.0071298545 0.0016118021 0.003944175 0.0019720874 0.00039820996 0.005309466 0.0013273665 0.00058783375 0.00092915655 0.0008153823 0.0002844357 0.001953125 0.00017066141 0.00034132283 0.00049302186 0.00022754855 0.00032236043 0.0016118021 0.0012894417 0.00054990896 0.0005688714 0.0005119842 0.001403216 0.00034132283 0.0014790655 0.0011377428 0.00068264565 0.0004550971 0.00041717233 0.0003602852 0.0014601032 0.00068264565 0.0004550971 0.00054990896 0.0002844357 0.00064472086 0.00047405946 0.0005309466 0.0006067961 0.0017635012 0.00030339806 0.00064472086 0.0003602852 0.0005688714 0.0002844357 0.00058783375 0.00030339806 0.00034132283 0.00015169903 0.0009481189 0.0004361347 0.00041717233 0.00030339806 0.0006257585 0.00037924756 0.0002654733 0.00041717233 0.00092915655 0.0003602852 0.0004361347 0.0005119842 0.00030339806 0.0005309466 0.00039820996 0.00017066141 0.0002654733 0.00024651093 0.00018962378 0.00015169903 0.001403216 0.0005309466 0.00073953276 0.000701608 0.0005119842 0.00030339806 0.002104824 0.0008153823 0.00058783375 0.00024651093 0.0004550971 0.00030339806 0.0004550971 0.00049302186 0.0002844357 0.00034132283 0.00034132283 0.00032236043 0.00039820996 0.00017066141 0.0002844357 0.00017066141 0.00034132283 0.00024651093 0.0002844357 0.00047405946 0.00032236043 0.00020858616 0.00077745755 0.0002654733 0.001649727 0.00018962378 0.0008153823 0.0005119842 0.00041717233 0.00015169903 0.0003602852 0.00030339806 0.0013273665 0.0010998179 0.00041717233 0.00030339806 0.00039820996 0.00047405946 0.00020858616 0.00024651093 0.00017066141 0.00011377427 0.0003602852 0.00030339806 0.0026926578 0.00032236043 0.00032236043 0.00058783375 0.00022754855 0.00039820996 0.00049302186 0.00034132283 0.00030339806 0.00034132283 0.0002654733 0.0005119842 0.0018962378 0.0011946298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014492188 0.0018359375 0.00020507812 0.00021484375 0.00036132813 0.000234375 0.00021484375 0.000107421874 0.00021484375 0.0007617187 7.8125e-05 9.765625e-05 0.00047851563 0.00012695312 0.00048828125 8.789063e-05 0.03326172 0.0048046876 0.0028808594 0.0017871094 0.00819336 0.008925782 0.054189455 0.023164062 0.00045898437 0.00014648438 0.00046875 0.00032226564 0.00037109375 0.0001953125 0.0004394531 0.000390625 0.13236327 0.021826172 0.015214844 0.009833984 0.018515624 0.014248047 0.037314452 0.022490235 0.0031640625 0.00071289064 0.00081054686 0.000234375 0.0007421875 0.0011523437 0.00040039062 0.0009765625 0.21507813 0.03658203 0.022988282 0.00913086 0.0073242188 0.006777344 0.02147461 0.023476563 0.008320313 0.005957031 0.004833984 0.0028222657 0.004345703 0.00296875 0.0025585936 0.005361328 0.07729492 0.013769532 0.005097656 0.0056347656 0.004404297 0.004189453 0.0038476563 0.0027246093 0.004404297 0.0037011718 0.002265625 0.0020214843 0.0034082031 0.0017578125 0.0029492187 0.0025292968 0.014580078 0.0033496094 0.0011035156 0.0019140625 0.0022460937 0.0021191407 0.006044922 0.002919922 0.0006445313 0.00038085936 0.00033203125 0.00080078124 0.0011523437 0.0004394531 0.000625 0.0013476562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 566.0 13.924028 7881.0 0.0012688745 0.00012688745 0.0 0.00038066236 0.0020301992 0.0 0.0 0.0 0.00038066236 0.0 0.0002537749 0.00012688745 0.0 0.00063443725 0.0071056974 0.0 0.0019033118 0.002283974 0.0016495369 0.0012688745 0.001395762 0.001141987 0.0015226494 0.0008882122 0.00038066236 0.002283974 0.0 0.0 0.0078670215 0.00012688745 0.0079939095 0.00038066236 0.00012688745 0.009516559 0.010658545 0.017637355 0.008374572 0.0053292727 0.0079939095 0.0052023856 0.0012688745 0.0067250347 0.0 0.0005075498 0.005075498 0.0044410606 0.0034259611 0.0048217233 0.011546758 0.00038066236 0.014465169 0.021190204 0.010404771 0.0017764244 0.0024108617 0.0035528487 0.0005075498 0.0 0.00063443725 0.00012688745 0.0 0.0 0.0 0.029945439 0.0016495369 0.05468849 0.010150996 0.03184875 0.028549677 0.1304403 0.0060905977 0.024489278 0.0074863597 0.052404515 0.0005075498 0.016622256 0.037051134 0.022966629 0.05519604 0.052531406 0.012054307 0.0030452989 0.043903057 0.04428372 0.08691791 0.017891131 0.0049486104 0.00063443725 0.0034259611 0.017002918 0.0015226494 0.00012688745 0.0 0.00012688745 0.0 0.0 4.987654 0.0 0.0 0.0 1.0 52736.0 81920.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1529071600.0 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 8.0 0.0 4.0 0.0 4.0 0.0 50688.0 512.0 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 -50688.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7364154 0.0 3.0299382 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 -50564.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 58664.0 1024.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0