Input: 0.18599261 0.0036388095 0.0031444503 0.0029661567 0.0030715119 0.00352535 0.0031768673 0.0029661567 0.0029742608 0.0034443075 0.0029661567 0.0031768673 0.0032092843 0.0030877204 0.0032741183 0.0032092843 0.003817103 0.003168763 0.0032903268 0.0030958247 0.0032417013 0.0031201374 0.003395682 0.0031201374 0.0031768673 0.003136346 0.0030958247 0.003428099 0.0033065353 0.0029823652 0.003395682 0.0032173884 0.0033065353 0.0033146394 0.0032498054 0.0033227438 0.0031849714 0.0029661567 0.003168763 0.0034686204 0.0029580523 0.0032903268 0.0033065353 0.003168763 0.0030634077 0.0031525544 0.0033794735 0.0031120332 0.0030877204 0.0033065353 0.0030796162 0.003136346 0.0030958247 0.0033470565 0.0032579098 0.0029742608 0.003460516 0.0032173884 0.003363265 0.0031930758 0.003330848 0.0030796162 0.0029013227 0.0031039289 0.0032254928 0.0031201374 0.0031930758 0.0030796162 0.0031606588 0.0031606588 0.0030228863 0.0033065353 0.0032903268 0.0031606588 0.0030877204 0.0030634077 0.0029742608 0.0035010374 0.0031930758 0.003266014 0.0030553034 0.0031849714 0.0029580523 0.0029175312 0.0032822224 0.0033794735 0.0030715119 0.0031039289 0.0033875778 0.003233597 0.0035172459 0.003298431 0.0029013227 0.0030877204 0.0030553034 0.0029256353 0.0031282417 0.0029094268 0.0031768673 0.0034524119 0.003136346 0.0032092843 0.0035010374 0.0029256353 0.0033065353 0.003168763 0.0034199948 0.0031282417 0.0029256353 0.0033065353 0.003233597 0.0036631224 0.0032173884 0.0031039289 0.0030471992 0.0033875778 0.0032579098 0.0029985737 0.0031849714 0.0031606588 0.0034118905 0.0030553034 0.0029499482 0.0032741183 0.0028364887 0.0029985737 0.0031120332 0.00320118 0.003136346 0.0030471992 0.0031525544 0.003428099 0.0029742608 0.0034362033 0.0030066778 0.0035172459 0.0030634077 0.0037036436 0.00320118 0.0035334544 0.0031120332 0.0034118905 0.0031849714 0.0030958247 0.0031444503 0.003168763 0.003136346 0.0030958247 0.0030066778 0.0033065353 0.0030471992 0.0033065353 0.0032092843 0.0032741183 0.0031849714 0.0031768673 0.0031768673 0.0028526972 0.0032092843 0.0030796162 0.0032579098 0.0032579098 0.0031606588 0.0029742608 0.0032173884 0.003395682 0.0029337397 0.003330848 0.0031201374 0.0028932183 0.0030066778 0.003614497 0.0030634077 0.0029823652 0.0029256353 0.0032417013 0.0032092843 0.0029013227 0.0029337397 0.0031606588 0.0030634077 0.0031120332 0.0029418438 0.0030228863 0.0033389523 0.0032822224 0.0030471992 0.0030228863 0.0031120332 0.0032092843 0.0029418438 0.0032579098 0.0031201374 0.0032254928 0.0031282417 0.0033146394 0.003395682 0.0031282417 0.0033794735 0.0032903268 0.0029985737 0.0032579098 0.0031444503 0.003136346 0.0029418438 0.003168763 0.00320118 0.0029823652 0.003168763 0.0029985737 0.0029013227 0.0033470565 0.0029418438 0.0029418438 0.0031930758 0.0031120332 0.0030958247 0.0027797588 0.0033794735 0.0031606588 0.0031606588 0.0031525544 0.0032579098 0.0031606588 0.003655018 0.0033794735 0.0032254928 0.0031606588 0.0030715119 0.0031444503 0.0032822224 0.0032741183 0.0035091415 0.0034767245 0.0030228863 0.0032579098 0.003460516 0.0030309907 0.0034443075 0.0030715119 0.0034199948 0.0034037863 0.0032417013 0.0030715119 0.0032903268 0.0031768673 0.0032903268 0.0031930758 0.0036063925 0.003266014 0.0031930758 0.0031444503 0.0034686204 0.0033551608 0.0030471992 0.0043681925 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008185891 1.23096115e-05 2.4619223e-05 1.6412816e-05 1.6412816e-05 4.103204e-06 0.0 1.23096115e-05 2.4619223e-05 1.23096115e-05 2.051602e-05 1.6412816e-05 1.23096115e-05 8.206408e-06 2.4619223e-05 1.23096115e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059660585 0.00015592175 4.5135243e-05 5.334165e-05 0.000221573 0.00018054097 6.154806e-05 4.9238446e-05 0.00059496454 3.2825632e-05 5.334165e-05 6.154806e-05 0.000114889706 8.206408e-06 0.00016412816 0.0006400998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007947906 0.0006934414 0.00036108194 0.00039801077 0.0006400998 0.0005703453 0.00066471903 0.0005785517 0.001107865 0.00034056592 0.00037339155 0.00038570116 0.00045135242 0.0003200499 0.0005293133 0.0014443278 0.0039965203 0.00027491467 0.00029132748 0.00027081146 0.0003077403 0.00027901787 0.00038570116 0.0003159467 0.00025439865 0.00028722428 0.00025439865 0.00026670826 0.0003036371 0.00033646272 0.00028722428 0.00029132748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050083704 0.051183365 0.051236704 0.05051044 0.050067294 0.049780067 0.050608914 0.049620043 0.05044889 0.05024373 0.050276555 0.04934513 0.050457098 0.04962825 0.05195887 0.051273633 476.0 5.8361344 2778.0 0.010439165 0.011519078 0.010439165 0.006839453 0.009719223 0.0079193665 0.0064794817 0.010079194 0.0079193665 0.011879049 0.011879049 0.008279338 0.009359252 0.010799136 0.010439165 0.008279338 0.008639309 0.009719223 0.010799136 0.010439165 0.010439165 0.008639309 0.008639309 0.011519078 0.010079194 0.013678906 0.010799136 0.010439165 0.010439165 0.010439165 0.007199424 0.010799136 0.009359252 0.014038877 0.009359252 0.011519078 0.011519078 0.010079194 0.009719223 0.0079193665 0.008279338 0.012598992 0.010439165 0.01475882 0.0133189345 0.0075593954 0.009719223 0.013678906 0.0061195106 0.007199424 0.014398848 0.0075593954 0.008279338 0.012958963 0.009719223 0.006839453 0.0133189345 0.009719223 0.008639309 0.009719223 0.011159107 0.00899928 0.008639309 0.009359252 0.008639309 0.012958963 0.010799136 0.009719223 0.010079194 0.016918646 0.011159107 0.008279338 0.011879049 0.012239021 0.010439165 0.009359252 0.008639309 0.010799136 0.016558675 0.011519078 0.012958963 0.0075593954 0.016558675 0.016198704 0.013678906 0.010079194 0.011159107 0.008639309 0.012958963 0.011879049 0.011159107 0.011159107 0.006839453 0.00899928 0.010439165 0.008279338 6.5510783 0.0 0.0 0.0 4.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 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 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.24675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.26050305 0.0131615205 0.005598438 0.004608129 0.008876839 0.0035818822 0.003573896 0.0027233486 0.007471239 0.0033502777 0.0030108574 0.001713074 0.005957824 0.0027672735 0.0016531764 0.0031226664 0.010018888 0.0022202078 0.0016292173 0.0015733128 0.0031066937 0.003334305 0.0012019471 0.0012977833 0.0028631098 0.0014255651 0.0012259062 0.0013017766 0.0024717783 0.0012738243 0.0010781585 0.0011380562 0.008769022 0.0010701722 0.0021842693 0.00087051315 0.008936736 0.0018328695 0.0011021176 0.0012658379 0.0027033826 0.012814114 0.0009982949 0.0017530059 0.0016851218 0.0013776469 0.00251171 0.0018089104 0.005754172 0.0031386393 0.0031586052 0.0052829767 0.004200825 0.0023719487 0.0021044058 0.0018528354 0.0032145097 0.002447819 0.0028511302 0.003226489 0.0023479897 0.0025875804 0.0018168967 0.0024238601 0.0059498376 0.004444409 0.0017889445 0.0029389802 0.0062373467 0.0077867005 0.002799219 0.0025356691 0.0027393212 0.0041089817 0.0011021176 0.0016651559 0.0031466256 0.004356559 0.0035299708 0.002803212 0.00935602 0.0033023595 0.0057461853 0.0059498376 0.004356559 0.003577889 0.0053189155 0.004336593 0.0018807877 0.003865398 0.0015373742 0.0014854629 0.003110687 0.0016931081 0.002803212 0.0065767667 0.0018009241 0.0065088826 0.0035978549 0.0057661515 0.007706837 0.011656092 0.004719938 0.0025835873 0.005850008 0.007854585 0.0059897695 0.0016531764 0.005418745 0.0030827348 0.0058060833 0.007287553 0.0046121227 0.0007467246 0.00840165 0.008677179 0.016280193 0.008449568 0.002044508 0.0021962489 0.0020564876 0.0020085694 0.00097034266 0.0009024586 0.0034181618 0.0025316759 0.0013856334 0.0009184313 0.0024398328 0.0017530059 0.0012099334 0.0071957097 0.0025157032 0.005007447 0.0017490127 0.0009064518 0.0015812991 0.005418745 0.00085454044 0.015932787 0.0015613332 0.006512876 0.0010581926 0.00080662227 0.0030827348 0.00079064956 0.0008625268 0.00093440403 0.001533381 0.00075071777 0.0009982949 0.00067484734 0.0013257356 0.0010502063 0.000710786 0.00077467685 0.0010861448 0.00063890876 0.00087849953 0.0007267587 0.006245333 0.009567658 0.0008345746 0.0011021176 0.0010581926 0.0007267587 0.0008625268 0.0006908201 0.0010741653 0.00077467685 0.00081460865 0.00075870415 0.0015653265 0.0006708542 0.0008425609 0.0006149497 0.0012378857 0.0007866564 0.00075870415 0.0006628678 0.0012298994 0.00079863594 0.00077867 0.0009383972 0.002443826 0.00088648585 0.00093041087 0.00084655406 0.0013177493 0.00087051315 0.0010022881 0.0009264177 0.005530554 0.001489456 0.0028471372 0.0033462846 0.0028111986 0.0009623563 0.0020564876 0.0028591165 0.0019007535 0.0016811286 0.00065887463 0.0008625268 0.0029190143 0.00085454044 0.0016451901 0.0010701722 0.0014175788 0.0010142677 0.00097034266 0.0009982949 0.0013217424 0.0007706837 0.0009184313 0.0010182608 0.0016491832 0.00083058135 0.00077867 0.0010621857 0.0014694901 0.00082259503 0.0008026291 0.0010462131 0.0015453605 0.00091443816 0.0009064518 0.00079863594 0.0016372036 0.00081460865 0.0009024586 0.00083058135 0.009755338 0.001401606 0.00075870415 0.0024198669 0.0027912327 0.0008345746 0.0009224245 0.0008625268 0.0031905505 0.002707376 0.0010821517 0.0010621857 0.0015253946 0.0009024586 0.0015613332 0.0015214015 0.0028551235 0.0011739949 0.000978329 0.0014295583 0.0036577526 0.0014335515 0.0020604806 0.031422332 0.020574123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0093878e-06 0.011897585 5.827225e-05 2.2103266e-05 3.616898e-05 5.4253473e-05 3.0140818e-05 6.229102e-05 3.817837e-05 1.6075102e-05 1.808449e-05 2.2103266e-05 2.2103266e-05 8.037551e-06 1.004694e-05 2.4112655e-05 2.6122043e-05 0.011437436 6.0281636e-05 5.827225e-05 5.626286e-05 5.4253473e-05 4.4206532e-05 3.4159595e-05 4.822531e-05 0.00018486369 4.2197145e-05 4.6215922e-05 6.430041e-05 3.817837e-05 5.626286e-05 4.6215922e-05 7.434735e-05 0.010808498 0.00010448817 0.0001667792 0.00025921102 8.037552e-05 6.229102e-05 0.00043804655 0.00020897634 7.635674e-05 1.2056327e-05 2.2103266e-05 2.4112655e-05 2.4112655e-05 2.009388e-05 1.808449e-05 2.009388e-05 0.013571406 0.00018285429 9.8460005e-05 0.0004480935 0.0004641686 0.00034159594 0.0006831919 0.00045010287 2.813143e-05 2.2103266e-05 2.813143e-05 2.4112655e-05 2.813143e-05 3.0140818e-05 2.4112655e-05 3.616898e-05 0.021972656 0.00030140817 0.0003174833 0.0011614262 0.0017541955 0.0011935764 0.00058473187 0.00030341756 0.0002471547 8.8413064e-05 0.00017481674 0.00011252572 0.00017280735 6.831919e-05 8.2384904e-05 0.00027126737 0.008931729 0.00028533308 0.00021701389 0.00024514532 0.00039384002 0.00022706082 0.0010167502 0.000466178 5.0234696e-05 4.6215922e-05 3.817837e-05 4.6215922e-05 1.808449e-05 2.009388e-05 5.0234696e-05 0.00029337063 0.014401283 9.042245e-05 0.00108306 0.00032552084 0.00093637477 0.0006671168 0.0041333106 0.0020134067 5.2244086e-05 9.2431845e-05 0.00028734247 3.2150205e-05 3.616898e-05 4.4206532e-05 0.00017682613 0.00031949268 0.018353749 0.0006791731 0.0023489743 0.00047220616 0.0005766943 0.0010087127 0.0041333106 0.0025418757 0.000331549 0.00020294817 0.0006229102 7.434735e-05 0.00011252572 0.00017079797 0.00027327676 0.0010187597 0.05369687 0.0030904384 0.008234471 0.0034581565 0.010199653 0.009854038 0.0245507 0.016493056 0.0014286748 0.0005626286 0.0012116609 0.00035968042 0.000367718 0.00032351146 0.00060482573 0.0013663837 0.034613714 0.0019772376 0.0050696856 0.006994679 0.010842657 0.0072538904 0.017473636 0.0110737365 0.0014648438 0.0006349666 0.0012237172 0.0006209008 0.00065907923 0.00065506046 0.0006128633 0.001709989 0.017417373 0.001890834 0.0018827964 0.011787069 0.0031426826 0.0024534627 0.0048988876 0.0030341756 0.0021178948 0.0012438111 0.0012799801 0.0010750225 0.0013985339 0.0009846 0.0011212385 0.0018848059 0.011395238 0.0012397923 0.0030602978 0.0026644482 0.0033335744 0.0020314911 0.0024313594 0.0015753601 0.0015090503 0.0007816519 0.002373087 0.0005766943 0.00057468493 0.00060080696 0.0006651074 0.0022243923 0.029560104 0.008049608 0.0076396926 0.0036229263 0.006383825 0.011230469 0.004993329 0.005148052 0.014582127 0.0015452192 0.0016557355 0.001808449 0.0069645382 0.0015954539 0.004378456 0.010183577 0.042562854 0.011057662 0.012844007 0.008519804 0.01168861 0.02077707 0.012134694 0.013213734 0.025878906 0.0038379307 0.011063689 0.0039042407 0.014801151 0.004340278 0.011770994 0.030287502 0.010318207 0.008198302 0.008483635 0.008453495 0.008095823 0.007957176 0.0093537 0.008943785 0.008742847 0.0076597864 0.008214378 0.0076597864 0.0083691 0.007983298 0.008282697 0.0090864515 2186.0 17.957914 39256.0 0.036860608 0.00073874055 0.0037446504 0.00089158345 0.007744039 0.00247096 0.000815162 0.0031078053 0.0050183414 0.0033115956 0.00073874055 0.0010189525 0.003260648 0.002165274 0.009374363 0.006725087 0.011717954 0.006928877 0.006928877 0.0070307725 0.0065467698 0.004508865 0.0048145507 0.0026492765 0.00461076 0.003973915 0.008813939 0.004203179 0.0044324435 0.0057061343 0.0033115956 0.008049725 0.016710822 0.017576931 0.004254127 0.0105206845 0.020353576 0.014188914 0.0050183414 0.008508254 0.0044069695 0.018595884 0.00066231913 0.0037701244 0.006928877 0.006113715 0.012507642 0.009985735 0.012329325 0.0022671693 0.012915223 0.017678827 0.014265335 0.0064194007 0.00708172 0.005425922 0.0047890767 0.003133279 0.002292643 0.0014774811 0.011514164 0.0012736906 0.0015284288 0.02338496 0.0014010597 0.031638477 0.008177094 0.026518239 0.028174037 0.059277564 0.009832892 0.010011208 0.013679437 0.03989199 0.0027511718 0.0045343386 0.024200123 0.012431221 0.026798451 0.03573976 0.019461993 0.0007896882 0.040656205 0.040325046 0.048782352 0.012507642 0.0049673934 0.008482779 0.0060372935 0.0065722438 0.0017831669 0.0011717954 0.0012482168 0.0013246383 0.0003821072 0.0003566334 5.883864 73.0 8.0 0.0 7.0 250427.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.31021118 0.013031006 0.0138549805 0.0053710938 0.0105896 0.0038757324 0.009735107 0.0045776367 0.0058288574 0.0034179688 0.026519775 0.0038757324 0.0022583008 0.0025634766 0.003967285 0.004486084 0.0024108887 0.006500244 0.0034484863 0.0051574707 0.0041503906 0.004547119 0.0058898926 0.004486084 0.0067443848 0.002319336 0.0026550293 0.0011291504 0.0021972656 0.0018310547 0.0007019043 0.0010375977 0.0025024414 0.0012512207 0.00061035156 0.00061035156 0.0011291504 0.0009765625 0.00048828125 0.000579834 0.020965576 0.0025939941 0.0053100586 0.002532959 0.0032958984 0.0017700195 0.0036315918 0.008361816 0.003692627 0.0012817383 0.0007324219 0.0014343262 0.0006713867 0.0006713867 0.00048828125 0.0013122559 0.0007019043 0.00076293945 0.0014648438 0.0028076172 0.00079345703 0.0013122559 0.0008239746 0.00088500977 0.0010986328 0.003326416 0.0020446777 0.0031738281 0.0025024414 0.0020751953 0.002105713 0.0043640137 0.00289917 0.004272461 0.00079345703 0.0011901855 0.006225586 0.005493164 0.0018310547 0.0015563965 0.0013122559 0.00039672852 0.0028686523 0.0062561035 0.0049438477 0.00091552734 0.0012817383 0.00091552734 0.0004272461 0.0005187988 0.00033569336 0.00045776367 0.00012207031 0.00033569336 0.00018310547 0.014801025 0.0007324219 0.030395508 0.006225586 0.009796143 0.010437012 0.04473877 0.0027770996 0.021484375 0.0010681152 0.021850586 0.0033569336 0.0011901855 0.015380859 0.007598877 0.022521973 0.023529053 0.00869751 0.00033569336 0.021911621 0.020843506 0.0256958 0.0038146973 0.0047912598 0.0008544922 0.00064086914 0.0038146973 0.0028381348 0.0014343262 0.0002746582 0.0009765625 0.0061035156 0.00024414062 0.0036315918 0.0012207031 0.00021362305 0.0002746582 0.00036621094 0.0002746582 0.0004272461 6.1035156e-05 0.00033569336 0.00036621094 0.00015258789 0.00015258789 0.00033569336 0.00018310547 0.0010070801 0.00021362305 0.00018310547 0.0019836426 9.1552734e-05 0.00030517578 0.00030517578 0.0002746582 0.00015258789 0.00079345703 9.1552734e-05 0.00018310547 6.1035156e-05 9.1552734e-05 0.0005187988 6.1035156e-05 0.00018310547 0.00021362305 0.0005187988 0.00088500977 0.00039672852 0.00012207031 3.0517578e-05 0.00024414062 0.00018310547 0.00012207031 0.00018310547 0.00045776367 0.0 0.0005493164 0.00021362305 3.0517578e-05 3.0517578e-05 9.1552734e-05 0.00064086914 0.00018310547 9.1552734e-05 0.00015258789 9.1552734e-05 3.0517578e-05 0.00088500977 0.00015258789 0.00015258789 9.1552734e-05 0.00021362305 0.0002746582 0.00021362305 0.0010375977 0.00018310547 0.00018310547 0.00039672852 6.1035156e-05 0.00012207031 6.1035156e-05 0.00061035156 6.1035156e-05 0.00091552734 0.00012207031 0.0002746582 9.1552734e-05 9.1552734e-05 6.1035156e-05 3.0517578e-05 0.00012207031 0.00015258789 0.00015258789 0.00064086914 0.00012207031 3.0517578e-05 9.1552734e-05 0.00012207031 3.0517578e-05 6.1035156e-05 6.1035156e-05 0.00033569336 0.00048828125 0.0 0.00021362305 0.0005187988 0.00030517578 0.0005493164 3.0517578e-05 0.00091552734 0.00018310547 6.1035156e-05 0.00015258789 0.00015258789 9.1552734e-05 9.1552734e-05 0.00024414062 9.1552734e-05 0.0 9.1552734e-05 0.00018310547 9.1552734e-05 0.00015258789 0.00012207031 0.00012207031 0.00036621094 6.1035156e-05 6.1035156e-05 6.1035156e-05 6.1035156e-05 6.1035156e-05 0.00021362305 6.1035156e-05 0.00021362305 0.00021362305 6.1035156e-05 3.0517578e-05 6.1035156e-05 0.0 0.0020446777 0.00021362305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025878906 0.00011025705 0.0004095262 0.00047253023 0.00064579136 0.00034652217 0.0030556957 0.0011498235 3.1502015e-05 1.5751008e-05 3.1502015e-05 3.1502015e-05 4.7253023e-05 0.0 1.5751008e-05 1.5751008e-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 0.09803428 0.0068831905 0.011797505 0.0016381048 0.018239668 0.018019153 0.11688823 0.04736328 0.0011183216 0.00018901209 0.00045677923 0.00025201612 0.00017326108 0.0007402974 0.00023626511 0.0005512853 0.140625 0.019799016 0.025532383 0.007639239 0.0063634072 0.0030871977 0.024130544 0.021594632 0.00359123 0.00028351814 0.0011498235 0.0003937752 0.00029926916 0.0014805947 0.0005512853 0.0015435988 0.077022426 0.015168221 0.010553176 0.0054813507 0.010127898 0.006442162 0.039582282 0.016286543 0.0025516632 0.0030871977 0.0009608115 0.0024571572 0.0016696069 0.0006142893 0.00064579136 0.0008978075 0.06889491 0.014317666 0.008962324 0.0050560734 0.0106791835 0.00921434 0.0461032 0.019310735 0.002047631 0.002016129 0.0013860887 0.0015120967 0.0011183216 0.00083480345 0.0012915827 0.0008033014 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 23.131945 9993.0 0.002001401 0.0004002802 0.0002001401 0.00030021014 0.0010007005 0.0 0.0 0.00010007005 0.0038026618 0.003902732 0.00030021014 0.0006004203 0.00050035026 0.0004002802 0.0051035723 0.014109877 0.0015010508 0.0006004203 0.0013009106 0.00090063043 0.0006004203 0.0007004903 0.0007004903 0.0011007705 0.0008005604 0.0006004203 0.0002001401 0.004403082 0.00030021014 0.0006004203 0.00010007005 0.0 0.00010007005 0.0077053937 0.0038026618 0.0071049733 0.006004203 0.0050035026 0.0035024518 0.013409386 0.0077053937 0.008205744 0.0010007005 0.0028019613 0.016011208 0.011508056 0.0030021016 0.0036025217 0.002101471 0.0 0.006604623 0.016511558 0.011407985 0.0013009106 0.0018012609 0.00050035026 0.0006004203 0.00010007005 0.00010007005 0.00030021014 0.00010007005 0.0 0.0 0.047333132 0.0010007005 0.079355545 0.015510858 0.025217652 0.029620735 0.112378664 0.0053037126 0.049934953 0.0025017513 0.054037828 0.009706795 0.0031021715 0.041128792 0.015710998 0.06154308 0.048233762 0.010307215 0.0002001401 0.04473131 0.04383068 0.07195037 0.009606725 0.012808966 0.0016011208 0.0013009106 0.010307215 0.0027018914 0.0 0.0 0.0 0.0 0.0 4.9534984 0.0 0.0 0.0 1.0 32768.0 57344.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541541100.0 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 30208.0 512.0 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 -30208.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.4895477 0.0 2.3755648 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 -29892.0 0.0 1536.0 0.0 0.0 0.0 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 37992.0 1536.0 40960.0 0.0 0.0 0.0 0.0 12.0 49152.0 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


Input: 0.15357749 0.013009857 0.0065771583 0.0060418085 0.009185928 0.0040363697 0.004843644 0.0036794697 0.012508498 0.0028636982 0.0027022434 0.0021414005 0.008081237 0.0029911625 0.0016825289 0.014981305 0.007256968 0.0015380693 0.0019799457 0.0014360979 0.0041043507 0.004061863 0.001835486 0.001121686 0.0028127125 0.000985724 0.0007902787 0.0015125765 0.0022518695 0.0015975527 0.0009517335 0.0013936098 0.0063902107 0.0009602311 0.0010282121 0.001053705 0.002396329 0.0011386812 0.0007477906 0.00063732156 0.001410605 0.00063732156 0.0008242692 0.0033990482 0.0013341265 0.0016145479 0.0016230455 0.0010282121 0.0053195106 0.0024048267 0.0017165194 0.008710061 0.0023708362 0.0029231815 0.0019884433 0.0013936098 0.003518015 0.0047841603 0.0016485384 0.007877294 0.0026852482 0.0026342624 0.0011386812 0.0016995241 0.0052515296 0.014726376 0.0010027193 0.0023368457 0.0028297077 0.013239293 0.003696465 0.0024303196 0.0024813053 0.0013596193 0.000985724 0.00063732156 0.0019119646 0.0060927942 0.0020139362 0.0008157716 0.010052686 0.003849422 0.0020309314 0.0069085658 0.002957172 0.0061522773 0.0068235896 0.004478246 0.0015805574 0.007851802 0.0009432359 0.0015805574 0.0012151598 0.004656696 0.0028042148 0.0020904148 0.0014021074 0.0041128485 0.0009432359 0.0023623386 0.0020734195 0.0055404487 0.0048011555 0.0013426241 0.004495241 0.0037984364 0.006764106 0.00072229776 0.002778722 0.0017420122 0.0037899388 0.0032545887 0.0060333107 0.0011981645 0.0046057105 0.0034670292 0.016102992 0.016621346 0.0018269884 0.001589055 0.0016825289 0.0014360979 0.00044187627 0.00048436437 0.0012066622 0.003874915 0.0014870836 0.0014191027 0.0034160435 0.001996941 0.001657036 0.01992692 0.0039513935 0.014998301 0.0016485384 0.00075628824 0.0022348743 0.0126444595 0.0018014956 0.03231645 0.00096872874 0.010231135 0.0008242692 0.00092624064 0.001164174 0.00046736913 0.00042488103 0.00042488103 0.00080727396 0.001164174 0.00063732156 0.0005693406 0.00084976206 0.0009602311 0.0007053025 0.00044187627 0.0007307954 0.0010112169 0.0004163834 0.0016910265 0.0017080217 0.0017080217 0.0004588715 0.0011811693 0.0011981645 0.0006458192 0.00042488103 0.000739293 0.0010961931 0.0008327668 0.0004163834 0.0007902787 0.0010707002 0.00050985726 0.000246431 0.0003229096 0.00092624064 0.0004078858 0.000560843 0.0006968049 0.0014615908 0.00228586 0.003764446 0.0026342624 0.0016485384 0.0006543168 0.00084126444 0.00084976206 0.001232155 0.0015380693 0.00084126444 0.0010112169 0.010520054 0.0035944935 0.0028552006 0.0066706324 0.006628144 0.00072229776 0.0027022434 0.005175051 0.0024388172 0.0023623386 0.0007477906 0.0007902787 0.0046481984 0.00067131204 0.00072229776 0.0006203263 0.0017590075 0.0013681169 0.002039429 0.0010112169 0.0009942217 0.0004078858 0.0010027193 0.0006883073 0.0020734195 0.0004588715 0.0006883073 0.0016145479 0.0013256288 0.0006543168 0.00058633584 0.0005183549 0.0030421482 0.00062882394 0.00058633584 0.00039089055 0.002489803 0.0017505098 0.000985724 0.0006628144 0.01960401 0.0029231815 0.00058633584 0.006611149 0.0051580556 0.00048436437 0.0006628144 0.00076478586 0.0045377295 0.0008667573 0.0026087696 0.001835486 0.002600272 0.00050985726 0.0052515296 0.0022943576 0.007460911 0.0016655336 0.0011131883 0.0041978247 0.007622366 0.0046651936 0.005124065 0.06902617 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007510025 0.00013827434 0.00013827434 2.5926438e-05 0.00018148507 0.00014691649 0.00014691649 0.00012963219 5.1852876e-05 1.7284292e-05 6.481609e-05 3.0247511e-05 1.2963219e-05 5.1852876e-05 2.5926438e-05 0.000177164 0.020628802 0.00046667588 0.00047531803 0.001240148 0.00079075637 0.00021605365 0.00061791344 0.0007605089 0.00032408047 0.00010370575 0.0002074115 0.0001598797 0.0001123479 8.642146e-05 0.00011666897 0.00024198009 0.006676058 0.00023765901 0.00025926437 3.888966e-05 0.00055309734 0.0001123479 0.00014259541 0.00017284292 0.00023765901 2.1605365e-05 0.00016420077 5.617395e-05 3.0247511e-05 3.4568584e-05 4.7531805e-05 6.481609e-05 0.0049389866 8.642146e-06 0.00037593336 5.1852876e-05 0.0003067962 0.00021173258 0.0018796668 0.0009592782 1.2963219e-05 1.7284292e-05 3.4568584e-05 0.0 2.1605365e-05 1.2963219e-05 1.7284292e-05 0.0 0.0048093544 0.00028086975 0.000829646 0.00019444828 9.938468e-05 0.00010370575 0.0015210178 0.0007432246 0.00020309043 2.1605365e-05 0.0 0.0 4.321073e-05 0.0 0.0 0.0 0.014039166 0.00038889656 0.00095495716 0.0007000138 0.00277845 0.0013136062 0.007825463 0.0036210592 0.0007518667 0.00015555864 0.00022037473 0.00019012722 0.00016420077 0.0002549433 0.00016420077 0.0018753457 0.015045976 0.0004926023 0.0014043488 0.0028648714 0.0017975664 0.0011580476 0.004022919 0.002061152 0.0010845893 0.00066544523 0.00037593336 0.00033272261 0.00063087663 0.0004321073 0.0005963081 0.002432764 0.014173119 0.0014000277 0.0016808974 0.012423085 0.003366116 0.0019488039 0.0053754146 0.0027654867 0.001775961 0.0014734858 0.0010759472 0.0010284154 0.00097224145 0.0010154522 0.00100681 0.0016160813 0.004917381 0.00060495024 0.0007432246 0.00085557246 0.0005098866 0.0010456997 0.00079075637 0.00091606745 0.004122304 0.00025062222 0.0002074115 0.0009592782 0.0009895257 0.00029383297 0.0010586629 0.008283497 0.06792295 0.012690991 0.007764968 0.011429238 0.021238074 0.023294905 0.010759472 0.019730018 0.048914548 0.0042865044 0.003962424 0.009005116 0.019712735 0.0056001106 0.018714568 0.051256567 0.08660727 0.018628146 0.01107491 0.022543037 0.030498134 0.036841467 0.016299088 0.031829026 0.05393131 0.0051939297 0.0067624794 0.0096143875 0.029534534 0.0091045005 0.025909154 0.056956064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 733.0 12.251023 8980.0 0.040200446 0.0008908686 0.0012249444 0.0011135858 0.0030066816 0.0012249444 0.0011135858 0.0017817372 0.0026726057 0.0014476614 0.00155902 0.0022271716 0.00233853 0.012694878 0.008685969 0.0057906457 0.02349666 0.013251671 0.010467706 0.008574611 0.008351893 0.011135858 0.0090200445 0.0051224944 0.009910913 0.01247216 0.0072383075 0.009465479 0.0073496657 0.0072383075 0.003452116 0.0045657014 0.0035634744 0.007906458 0.0032293987 0.011804009 0.0043429844 0.0051224944 0.008797327 0.008129176 0.0043429844 0.004454343 0.0020044544 0.0018930958 0.006347439 0.0050111357 0.0035634744 0.00311804 0.020267261 0.0028953229 0.0050111357 0.039643653 0.008351893 0.0025612472 0.02973274 0.016926503 0.0045657014 0.00311804 0.0027839644 0.0013363028 0.0013363028 0.0022271716 0.00233853 0.00233853 0.0030066816 0.04164811 0.006904232 0.02349666 0.014587973 0.056458797 0.008351893 0.012583519 0.016703786 0.04075724 0.009242762 0.0032293987 0.023942094 0.017483296 0.040089086 0.034298442 0.017371938 0.0011135858 0.034743875 0.02895323 0.045100223 0.016926503 0.0047884188 0.0061247214 0.0050111357 0.010022271 0.00233853 0.0011135858 0.0013363028 0.0005567929 0.0010022272 0.0025612472 5.8450584 0.0 14.0 0.0 3.0 117680.0 131072.0 0.0 0.0 96.0 1.0 0.0 1.0 0.0 0.0 1526643700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 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 9.0 0.0 5.0 0.0 5.0 0.0 88576.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.664633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5696807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4958472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.603404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4754.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11178.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 103140.0 0.0 0.0 0.0 0.0 6064.0 111616.0 3580.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 101632.0 0.0 0.0 396.0 94208.0 0.0 0.0 0.0 0.0


Input: 0.19552217 0.0029641544 0.0022173712 0.0019559972 0.0018841912 0.012304688 0.0025591683 0.001941636 0.0019617418 0.0017980239 0.001775046 0.0018152574 0.001691751 0.0018210019 0.001657284 0.002320772 0.0020881204 0.0025476792 0.0024816177 0.005141314 0.004334214 0.003788488 0.003231273 0.0017377068 0.0018554687 0.0017319623 0.0017865349 0.0017865349 0.0018497242 0.0017779182 0.00518727 0.0052877986 0.0021857766 0.0017721737 0.005293543 0.0018841912 0.0019042969 0.0017348345 0.0018037683 0.0017549403 0.0017980239 0.0016429228 0.012551701 0.00248449 0.0019617418 0.0016716452 0.0016457951 0.0016084559 0.0016974953 0.0016285615 0.0016716452 0.0016314338 0.0016974953 0.0016601563 0.0015797334 0.0015711167 0.0017319623 0.0017578125 0.0017491957 0.0016314338 0.0017664293 0.0014964384 0.0018095128 0.0019789753 0.0018181296 0.0016946231 0.0017721737 0.0016027114 0.0017865349 0.0016888786 0.001740579 0.0016601563 0.0017089844 0.0015768613 0.0016802619 0.0016486673 0.0016314338 0.0016027114 0.0016630285 0.0015567555 0.0017176011 0.0017779182 0.0017348345 0.0016486673 0.0015826056 0.0016228171 0.012646484 0.0025649127 0.0017061122 0.0017377068 0.0015969669 0.0017980239 0.0017147289 0.0016946231 0.0018008961 0.0018899357 0.0020507812 0.0017693015 0.0016601563 0.0017147289 0.0017032399 0.0019071691 0.004578355 0.0017290901 0.0019157858 0.002001953 0.0017865349 0.0015682445 0.0018640854 0.001763557 0.0017779182 0.0016802619 0.0015912225 0.0016486673 0.0017089844 0.0016974953 0.0018525965 0.0016630285 0.0016314338 0.001668773 0.0016515395 0.0016659007 0.0016228171 0.001668773 0.0015739889 0.001668773 0.0017319623 0.0020421646 0.0025045956 0.0017807904 0.0017118566 0.0017348345 0.0016974953 0.0016745174 0.0017319623 0.0016113281 0.0018382353 0.0018238741 0.0018123852 0.0019789753 0.001763557 0.0018525965 0.001585478 0.0017118566 0.0017434513 0.0015883502 0.0017290901 0.0015826056 0.0017377068 0.0017147289 0.0015682445 0.002450023 0.02493681 0.012568934 0.0016946231 0.0016888786 0.0015366498 0.0014993107 0.0015538833 0.0019100413 0.0018727022 0.0018238741 0.0016860064 0.0015826056 0.0020048253 0.0020852482 0.0019990809 0.0015423943 0.0016802619 0.0017032399 0.0019014246 0.001657284 0.0016400506 0.0015826056 0.0018152574 0.0016400506 0.0017176011 0.0016113281 0.0019129136 0.0016228171 0.0017032399 0.0017061122 0.0015682445 0.0017922794 0.10354148 0.001691751 0.0015423943 0.001585478 0.0015940947 0.0016199448 0.0017118566 0.0019502528 0.0021053539 0.0017319623 0.0016371784 0.0016888786 0.0014734605 0.0017434513 0.0015682445 0.0017032399 0.0016888786 0.0015481388 0.001953125 0.0015251609 0.0017779182 0.0016544118 0.0015883502 0.0016888786 0.0016773897 0.0017003677 0.0016946231 0.0017721737 0.0015653722 0.0018841912 0.0016946231 0.0018123852 0.0017463235 0.0017922794 0.0016659007 0.0016831342 0.0016084559 0.0016946231 0.0017147289 0.001763557 0.0019042969 0.0016745174 0.0017176011 0.0016773897 0.0017922794 0.0016429228 0.0018152574 0.0016946231 0.0017721737 0.0018037683 0.0017807904 0.0016659007 0.0017262178 0.0016228171 0.0016659007 0.0016113281 0.0024069394 0.002047909 0.0021943934 0.0015625 0.0018267463 0.0015711167 0.0015998392 0.0016429228 0.0018928079 0.001976103 0.0017147289 0.0015969669 0.0017377068 0.0017118566 0.0021915212 0.16461684 0.005899705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027006706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.2963219e-05 0.0 0.0 0.0 0.0 0.0 1.4403577e-06 0.0002347783 0.0025940842 2.8807153e-06 2.8807153e-06 1.4403577e-06 2.8807153e-06 0.0 0.0 7.345824e-05 1.4403577e-06 0.0 0.0 0.0 2.8807153e-06 0.0 0.0 0.00026790652 0.009576938 0.00019588864 5.1852876e-05 1.1522861e-05 2.8807153e-06 2.8807153e-06 4.321073e-05 8.642146e-06 9.6503965e-05 2.8807153e-06 0.0 0.0 3.74493e-05 0.0 4.321073e-06 0.0017644381 0.014610988 0.0007115367 0.00032264012 8.642146e-06 1.0082504e-05 5.7614307e-06 0.00033272261 0.00016420077 7.921967e-05 2.0165007e-05 3.6008943e-05 2.1605365e-05 2.3045723e-05 1.5843934e-05 2.1605365e-05 0.004264899 0.041816466 0.0047733453 0.0006409592 5.7614307e-05 2.7366796e-05 4.321073e-05 0.00042778623 7.48986e-05 0.000177164 0.00035864906 0.0002074115 0.00011810933 0.0003168787 0.000120990044 0.00017284292 0.015563064 0.056961823 0.009247096 0.0015613477 0.00027366795 0.00010802683 8.7861816e-05 0.001067305 0.0002074115 0.00035576834 0.0034222899 0.00056317984 0.00015699898 0.0002823101 0.00015123756 0.00034136476 0.040256556 0.022133976 0.0015210178 0.000986645 9.3623246e-05 0.00014691649 0.0003644105 0.00078355457 0.00016852184 0.000354328 0.0040113963 0.0004522723 0.00011810933 0.00030247512 0.00015699898 0.00022181508 0.018331433 0.028949749 0.0013539362 0.008044397 9.506361e-05 5.1852876e-05 0.0075042634 0.00087573746 9.938468e-05 0.00023765901 0.017107127 0.00044795123 0.00035720872 0.00028519082 0.0002995944 0.00028086975 0.052004114 0.013867764 0.0010183329 0.0039566625 0.00017428328 4.897216e-05 0.003567766 0.0006755277 0.00012819184 0.00019588864 0.009486196 0.0003197594 0.00034568584 0.00026934687 0.0003701719 0.00031255762 0.027209796 0.0022455177 0.00062223454 0.0009347921 4.7531805e-05 2.0165007e-05 0.00065968384 0.00037881406 2.7366796e-05 0.00010658647 0.0014331558 8.7861816e-05 8.642146e-05 7.777932e-05 8.7861816e-05 9.6503965e-05 0.0048871334 0.0011926162 0.00013539362 0.00023189759 0.00010658647 3.168787e-05 6.481609e-05 0.00025638368 0.00014115505 2.448608e-05 0.00014835683 1.872465e-05 2.448608e-05 2.7366796e-05 1.7284292e-05 2.1605365e-05 0.0005070059 0.004607704 0.000668326 0.00064960134 0.00032408047 0.0004493916 0.00042778623 0.00070721563 0.00046091445 0.00049548305 0.0003816948 0.00020597114 0.0004594741 0.00027798902 0.00029527332 0.00028086975 0.0011076351 0.0009938468 0.00015411827 0.00014259541 0.00013395326 0.00013683397 0.00011954969 0.00013395326 0.00011810933 0.0001670815 8.7861816e-05 0.00013683397 0.00015843935 0.000120990044 0.0001123479 9.794432e-05 0.00013539362 0.02190928 0.021760924 0.021523265 0.021308651 0.02122223 0.021926565 0.021432523 0.021030663 0.021769566 0.020736828 0.021266881 0.106816925 0.020807408 0.021474293 0.021333138 0.021409476 0.004969234 0.004554411 0.004691245 0.004421898 0.004614906 0.0045198426 0.004341238 0.004417577 0.004803593 0.0043441188 0.004547209 0.020552464 0.0042908257 0.004426219 0.0044478243 0.0045529706 71.0 12.154929 863.0 0.05677868 0.002317497 0.005793743 0.002317497 0.004634994 0.0 0.0034762456 0.019698726 0.004634994 0.0011587485 0.004634994 0.005793743 0.025492469 0.006952491 0.013904982 0.012746234 0.004634994 0.004634994 0.004634994 0.009269988 0.0 0.0034762456 0.0011587485 0.0034762456 0.004634994 0.0011587485 0.008111239 0.006952491 0.019698726 0.009269988 0.012746234 0.010428737 0.006952491 0.009269988 0.0 0.0034762456 0.006952491 0.005793743 0.010428737 0.006952491 0.008111239 0.008111239 0.0 0.002317497 0.006952491 0.0034762456 0.004634994 0.002317497 0.008111239 0.0 0.006952491 0.006952491 0.006952491 0.005793743 0.011587486 0.011587486 0.0011587485 0.0011587485 0.0034762456 0.0011587485 0.0034762456 0.002317497 0.002317497 0.002317497 0.004634994 0.034762457 0.004634994 0.026651217 0.019698726 0.08574739 0.008111239 0.008111239 0.006952491 0.030127462 0.004634994 0.0034762456 0.035921205 0.022016222 0.028968714 0.034762457 0.006952491 0.0034762456 0.044032443 0.049826186 0.037079953 0.020857474 0.013904982 0.0 0.011587486 0.008111239 0.0034762456 0.0011587485 0.0011587485 0.0011587485 0.0011587485 0.0011587485 5.7264843 0.0 0.0 0.0 1.0 348160.0 364544.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1491948400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -179200.0 0.0 166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0587463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1104746 0.0 2.953819 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 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -179146.0 0.0 166448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 184396.0 166448.0 192512.0 0.0 0.0 0.0 0.0 48.0 360448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 184320.0 0.0 0.0 0.0 0.0


Input: 0.052808322 0.0056724604 0.005239176 0.0052306294 0.005039627 0.0040504304 0.004228798 0.0039876304 0.005247723 0.004177889 0.0040615783 0.0041143456 0.004501552 0.0040288777 0.003814465 0.0035662367 0.0050559775 0.0035825872 0.0036847768 0.0035294485 0.0038902713 0.0037962566 0.0036498467 0.003463304 0.0041299528 0.0034294883 0.0034387782 0.0034629323 0.0036223482 0.003345507 0.003299057 0.0031255202 0.0051016845 0.003889528 0.0036554206 0.0034904305 0.0041719433 0.003674372 0.003578128 0.0034016185 0.003934863 0.0034915453 0.003592992 0.0034688779 0.003591134 0.0034246575 0.0035647503 0.0031251486 0.004296429 0.0036632242 0.0036334964 0.003931147 0.0035134698 0.0035324213 0.0034153676 0.0033168937 0.004028506 0.0035978227 0.0036093423 0.0036650822 0.00359485 0.00335554 0.0032377432 0.0030545448 0.00475907 0.0048549427 0.0043254136 0.0037550093 0.0040474576 0.0040519168 0.0036112003 0.0033700324 0.004033337 0.0036175174 0.003505666 0.0034469534 0.0037048433 0.0035528592 0.0034588447 0.0032213929 0.0047438345 0.003540968 0.0035825872 0.00359485 0.0036546774 0.00342057 0.003438035 0.0034811406 0.0040753274 0.0036186322 0.0032734168 0.003544684 0.0036635958 0.0035387385 0.0034123948 0.0032236225 0.0042421757 0.0037223084 0.003497491 0.0035130982 0.0037620696 0.0040846174 0.003455872 0.0032069006 0.0039051352 0.0036167742 0.0036907224 0.0032377432 0.003675487 0.0034547572 0.0034086788 0.0033782076 0.0040307357 0.0034116516 0.0036795745 0.003596708 0.004261499 0.0040753274 0.0032771328 0.0031894352 0.0036056263 0.0033663164 0.0033087186 0.0032540935 0.0033770928 0.0030749827 0.0030827865 0.0028141201 0.00542832 0.004124379 0.0046981275 0.0047754203 0.0039032772 0.004521618 0.0035435692 0.0034123948 0.0043142657 0.0042369734 0.003635726 0.004893589 0.0036424147 0.003913682 0.0033603709 0.0032749032 0.0040522884 0.0032942262 0.0034644187 0.0035915056 0.0036658254 0.0035034365 0.0033503377 0.003163795 0.003969422 0.0034239143 0.0034922885 0.0034662767 0.0035684663 0.0033414194 0.0034309747 0.003119203 0.0042581544 0.0035952216 0.003469621 0.003495633 0.0035766417 0.003289767 0.00336483 0.0031916648 0.0039344914 0.0034725938 0.0035710677 0.0034647903 0.003523503 0.003304631 0.0033941865 0.003173085 0.003974996 0.0034462102 0.0034190835 0.0034822554 0.0035829588 0.0033845247 0.0035205302 0.003247033 0.0040262765 0.0034254007 0.0035915056 0.0035811008 0.003710789 0.0033878693 0.0034220563 0.0032180485 0.005184179 0.0038527397 0.0038389906 0.004015872 0.003928546 0.0036617378 0.0035710677 0.003552116 0.003956044 0.0036580218 0.0039222287 0.0038085193 0.0040411404 0.003454014 0.0035647503 0.0032808487 0.0040095546 0.0035591763 0.0035710677 0.003488201 0.0037817643 0.0033841531 0.0034896873 0.0033533105 0.0038248699 0.0035116118 0.0035324213 0.003596708 0.003606741 0.0034086788 0.0033733768 0.003178659 0.004235487 0.003413138 0.0035498864 0.0034495548 0.003662481 0.003379694 0.003409422 0.0033105765 0.004588878 0.0035569468 0.0035524876 0.0035900192 0.0038702048 0.0033763496 0.0032477763 0.0031686258 0.004022189 0.003359256 0.0033941865 0.0032217645 0.0034967477 0.0032124745 0.003222136 0.0030482276 0.0036130582 0.0032329124 0.003277876 0.0033128061 0.003552116 0.0031411273 0.0030311341 0.013202174 0.0098754745 0.0 1.6728326e-06 5.204368e-06 1.301092e-06 2.2304434e-06 5.761979e-06 2.7880544e-06 0.0 3.7174058e-07 7.4348117e-07 0.0 0.0 1.8587029e-07 0.0 1.4869623e-06 0.0014462568 2.4163137e-06 4.2750166e-06 6.8772006e-06 1.1895699e-05 2.4163137e-06 2.0259862e-05 4.2750166e-06 2.2304434e-06 1.1152217e-06 1.1152217e-06 1.301092e-06 9.293515e-07 1.301092e-06 1.301092e-06 1.4683753e-05 0.0013908674 1.6728326e-06 1.7657678e-05 2.7880544e-06 7.248941e-06 3.5315354e-06 3.9962113e-05 2.1375083e-05 1.282505e-05 2.0445732e-06 2.4163137e-06 2.0445732e-06 1.858703e-06 2.602184e-06 1.05946065e-05 3.159795e-06 0.0009867854 3.5315354e-06 2.007399e-05 4.8326274e-06 4.0891464e-06 2.9739247e-06 4.2192554e-05 2.4349009e-05 4.8326274e-06 6.1337196e-06 9.1076445e-06 8.178293e-06 3.903276e-06 7.4348117e-07 4.2750166e-06 1.5984844e-05 0.0018419746 5.0184976e-06 2.8066414e-05 6.31959e-06 1.13380875e-05 5.3902386e-06 4.6467572e-05 2.527836e-05 3.3828393e-05 1.5613105e-05 2.2862045e-05 1.6170716e-05 1.988812e-05 1.0036995e-05 2.6579452e-05 0.00016914196 0.00028233696 1.8401159e-05 2.4906618e-05 1.895877e-05 5.5761086e-07 1.1152217e-06 2.3047916e-05 9.293514e-06 0.0 0.0 0.0 1.8587029e-07 0.0 0.0 1.858703e-06 0.0 0.001137712 9.1076445e-06 8.735904e-06 8.921774e-06 1.6170716e-05 1.282505e-05 1.895877e-05 9.8511255e-06 2.007399e-05 2.4534878e-05 2.8066414e-05 2.4163137e-05 4.2750165e-05 3.977624e-05 1.6914197e-05 0.00010408736 0.003120948 3.196969e-05 0.00031635124 0.00015185603 0.00016635392 0.00015873322 0.000783815 0.00037991887 3.4571873e-05 1.0780477e-05 1.301092e-05 1.3382661e-05 1.4126142e-05 6.1337196e-06 4.0519724e-05 8.6801425e-05 0.004325945 4.2750165e-05 0.0004310332 0.00023791398 0.00055091956 0.0003959037 0.0011232141 0.00057025003 4.8883885e-05 5.4459993e-05 3.6430578e-05 3.4200133e-05 8.122531e-05 5.5389348e-05 7.862313e-05 0.00030742947 0.0038757673 7.936661e-05 0.00010817651 9.944061e-05 0.0002752739 0.00018196701 0.00060946867 0.00037898953 0.00010687541 0.000286612 0.000133269 0.00019999643 0.00055073365 0.0005854914 0.00039832003 0.0016468108 0.003738595 5.4831737e-05 0.00013605705 9.962647e-05 0.00022099978 0.0002933033 0.00050203566 0.0002864261 0.0001369864 0.0003120762 0.00032192733 0.00077117584 0.0012932855 0.001013179 0.001076189 0.0026858256 0.004048255 0.0001314103 0.00038772542 0.00015613105 0.00048586493 0.00037378515 0.00046021483 0.00041634945 0.0002970207 0.0005278716 0.0006174611 0.0008652262 0.001252394 0.0012189373 0.0012406842 0.002747163 0.0024514433 0.00038735368 0.00029163048 0.00031114687 0.0003053849 0.00038493736 0.000538838 0.0006834451 0.0004849356 0.00071801693 0.0004459028 0.00053270423 0.00048698016 0.0004505496 0.00047768664 0.001326928 0.004503637 0.0009888299 0.00065463514 0.00071411364 0.0014070381 0.001435848 0.0009496113 0.0014345469 0.0023638983 0.00064273947 0.00041133096 0.0006273122 0.0012010938 0.00049497257 0.0010146659 0.0020921559 0.006320705 0.0016540597 0.0010787911 0.0011410577 0.0021127877 0.0021388095 0.0011748861 0.0015252515 0.0032278234 0.0006611406 0.0007631834 0.0008906904 0.0018514539 0.0013232105 0.0017707862 0.0031990136 0.07032812 0.05511463 0.05566146 0.0544981 0.055616852 0.052385684 0.051527705 0.049650416 0.058927573 0.05265482 0.05329366 0.05245464 0.05451278 0.051488858 0.051222507 0.04895303 11432.0 6.5931597 75373.0 0.011821209 0.010375068 0.00781447 0.007920608 0.008995264 0.009486156 0.0098974435 0.0090616 0.008650312 0.010680217 0.010799623 0.0098974435 0.0084911045 0.010746554 0.009539225 0.0077348654 0.009326947 0.010335266 0.008942194 0.008026747 0.008252292 0.008955462 0.008570708 0.007535855 0.011356852 0.009618829 0.0077614 0.009048333 0.008981996 0.008915659 0.008000213 0.0071113 0.01066695 0.012152893 0.00976477 0.009977047 0.015615671 0.011224179 0.0100433845 0.012272299 0.008769719 0.012391705 0.009552492 0.009260611 0.010348533 0.010016849 0.010069919 0.008796253 0.012073289 0.010401603 0.011250713 0.010627148 0.011927348 0.008225758 0.00866358 0.010826158 0.014023589 0.011157841 0.009154472 0.016305573 0.01256418 0.01377151 0.008026747 0.009287145 0.009220809 0.014501214 0.008557441 0.012537646 0.012829528 0.021798257 0.008955462 0.009181007 0.009326947 0.01481963 0.009459621 0.010308731 0.013466361 0.012630518 0.011993685 0.012683587 0.0114497235 0.0100433845 0.013638836 0.012590716 0.016968941 0.011569129 0.010136256 0.010574078 0.0098974435 0.010176058 0.009685166 0.008981996 0.009260611 0.00705823 0.0074827857 0.0063550607 6.550743 0.0 0.0 0.0 34.0 2691072.0 2691072.0 1.0 4.0 155.0 0.0 1.0 0.0 0.0 0.0 1396512900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 94208.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94208.0 0.0 2551808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.470045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.350027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.480017 0.0 7.8989234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92074.0 0.0 2550628.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 130640.0 60.0 127448.0 2550628.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 98944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 628.0 98304.0 224.0 124504.0 0.0 0.0