Input: 0.007061188 0.0036849112 0.003769249 0.0037308962 0.0036966458 0.0037462562 0.0037170625 0.003867802 0.0037595176 0.003784418 0.0037543657 0.003819527 0.0038298308 0.0037948173 0.0038162833 0.0038685652 0.0041371295 0.0038105592 0.0037060909 0.0038105592 0.0037334722 0.0038448095 0.0038113224 0.0038330746 0.0038108453 0.00385435 0.003817142 0.003857212 0.0037858493 0.003911402 0.0038063612 0.0038854517 0.003845668 0.0037954852 0.0037522668 0.0038263963 0.0038367955 0.0038360322 0.0038313572 0.0039010982 0.003791955 0.0038194316 0.0038151385 0.0038938473 0.0038340287 0.003842615 0.0038377494 0.003863318 0.0038228664 0.0038494843 0.0038290676 0.0039612986 0.0037957714 0.0038626501 0.0038336471 0.0038759112 0.0037738283 0.0038607419 0.0038598834 0.003972079 0.003790047 0.0039012888 0.0037923367 0.0039055822 0.0037897609 0.0038848794 0.0038033084 0.003857212 0.0038027358 0.0039492776 0.0038679927 0.003898713 0.0037818423 0.0038415657 0.003878678 0.003873431 0.0038465266 0.003840707 0.0038927025 0.003882208 0.003793768 0.0038498659 0.0038179052 0.003937161 0.0038042623 0.0039360165 0.003891176 0.0038827804 0.0038239157 0.0039054868 0.0038415657 0.0039308644 0.003819527 0.0038455727 0.003869233 0.003943172 0.0036817628 0.0039014798 0.003907013 0.0039384016 0.003912451 0.0039558606 0.003983719 0.0039396416 0.0038167604 0.0039306735 0.003811036 0.003878678 0.00393697 0.004009001 0.003924377 0.003919225 0.0037879483 0.0038432828 0.003871809 0.0039204652 0.0039523304 0.0039092074 0.0038759112 0.003940214 0.0037738283 0.003844046 0.0038556855 0.0038771515 0.0038219122 0.0038986176 0.003918462 0.0039721746 0.0038619821 0.0037874712 0.0037458746 0.0038580706 0.003812658 0.003888314 0.0038865013 0.0038882184 0.0038106544 0.003943553 0.0038755296 0.0041658464 0.0038960418 0.0039547156 0.0038736216 0.003838608 0.00378957 0.003832216 0.0038325975 0.0039052959 0.0038798228 0.0038865013 0.0038334562 0.0038016865 0.0038648443 0.003965401 0.0038861197 0.0038645582 0.0038644627 0.003877247 0.0038357459 0.003930101 0.0037048508 0.0038574983 0.0038283998 0.0038529187 0.0038308804 0.0038689468 0.003839085 0.003815711 0.0038054073 0.0038766745 0.0038861197 0.0038680881 0.0039117835 0.0038922254 0.0038159972 0.0038044532 0.0038003507 0.0038907945 0.003918271 0.0038779147 0.003859597 0.0038823988 0.0040423926 0.0038268734 0.0038553993 0.0038627454 0.0038626501 0.0039034833 0.0038199087 0.0038484347 0.003873049 0.003987535 0.003678519 0.0037705845 0.0038392758 0.0039374474 0.0038820172 0.00386971 0.0039398326 0.0038516785 0.003782701 0.00391684 0.0038922254 0.0038277318 0.003935158 0.0038790596 0.0038878368 0.0038478624 0.0038111315 0.0038740032 0.003921133 0.0038470991 0.0038459543 0.0038559716 0.003888791 0.0038406115 0.003957864 0.0039577684 0.0038879323 0.0039936407 0.0038837346 0.0038814447 0.0038628408 0.0039396416 0.0037296559 0.003805598 0.0038638904 0.0038346965 0.003867802 0.0038665617 0.003914264 0.0038542545 0.0039880117 0.00389919 0.0038749573 0.0038740032 0.0038918438 0.0038943244 0.0039087306 0.003949564 0.0038830666 0.003900144 0.003896805 0.0038658937 0.004017301 0.0038761022 0.003925713 0.0039079674 0.0038705687 0.003921324 0.003949564 0.0039412635 0.0039853407 0.0040058526 0.004133027 0.01118601 2.6715925e-06 1.4312103e-07 7.1560515e-07 3.3394906e-07 4.770701e-08 9.541402e-08 2.8624206e-07 9.541402e-08 7.1560515e-07 2.8624206e-07 1.9082805e-07 1.9082805e-07 0.0 4.770701e-07 7.1560515e-07 0.00048155457 8.840109e-05 9.350574e-06 2.2899364e-06 1.4312103e-07 2.8624206e-07 6.678981e-07 5.915669e-06 5.7248412e-06 1.7413058e-05 7.1083446e-06 1.1926753e-06 1.0972612e-06 6.4881533e-06 2.1945225e-06 1.6220383e-06 0.00082714413 0.00025685455 1.0066179e-05 1.946446e-05 2.9101277e-06 4.7707013e-06 6.5835675e-06 1.9607582e-05 2.31379e-05 3.4539877e-05 5.915669e-06 6.7743954e-06 3.3871977e-06 6.3450325e-06 3.7688537e-06 9.636816e-06 0.0015403163 0.0003763606 9.913517e-05 3.745e-05 1.0400128e-05 1.707911e-05 4.226841e-05 5.2096057e-05 3.7259175e-05 5.328873e-05 1.707911e-05 1.579102e-05 1.6363505e-05 1.5886435e-05 1.0781784e-05 1.4932294e-05 0.0021149472 0.0007811546 0.00041018488 2.1802103e-05 5.152357e-06 8.539555e-06 1.8224078e-05 2.1802103e-05 9.923058e-06 0.00022837346 1.0924905e-05 8.77809e-06 1.4980002e-05 1.1115733e-05 1.4025861e-05 2.0370893e-05 0.0010526552 0.0001707911 1.2403823e-06 1.9082804e-06 2.0036944e-06 9.016625e-06 1.6411212e-05 1.8605734e-06 3.816561e-07 7.82395e-05 1.3596498e-05 1.1449682e-06 5.915669e-06 1.3357962e-06 3.2440767e-06 4.532166e-06 7.919364e-05 0.00047258564 6.7266883e-06 1.1545097e-05 8.348727e-06 4.055096e-05 3.0961848e-05 4.0598665e-05 2.266083e-05 3.3728855e-05 4.198217e-06 2.0991085e-06 2.3996627e-05 3.6257327e-06 5.200064e-06 1.0829492e-05 0.00016167905 0.00031257633 3.1486627e-06 3.0198538e-05 4.961529e-06 2.137274e-05 8.539555e-06 9.05479e-05 4.7039113e-05 2.8147135e-06 2.1945225e-06 1.7651594e-06 1.1926753e-06 1.9082804e-06 1.7651594e-06 2.0514015e-06 5.414746e-05 0.00031911218 2.2279173e-05 1.3644205e-05 1.0304714e-05 4.1886757e-05 2.2136053e-05 8.458453e-05 4.307943e-05 1.7699302e-05 4.6514335e-05 8.873504e-06 1.1163441e-05 8.873504e-06 1.09726125e-05 1.7413058e-05 0.00020079881 0.0003341876 1.0543249e-05 4.8518028e-05 2.7192997e-05 4.8899685e-05 2.6859047e-05 5.667593e-05 3.0723313e-05 2.7431532e-05 1.707911e-05 1.340567e-05 1.2546943e-05 1.3310256e-05 1.9702995e-05 3.110497e-05 0.00025885823 0.00031973238 2.6620512e-05 4.6371213e-05 5.414746e-05 6.421364e-05 2.2708537e-05 9.431676e-05 4.9949238e-05 1.579102e-05 4.4940003e-05 1.1258854e-05 1.9846117e-05 1.4216689e-05 1.3214842e-05 1.612497e-05 0.00016358733 0.00023395517 2.0036945e-05 4.369962e-05 3.5971087e-05 5.076026e-05 3.4730703e-05 5.696217e-05 4.9090515e-05 4.722994e-05 5.10465e-05 3.897663e-05 3.3442615e-05 1.9225925e-05 1.8558027e-05 2.3424142e-05 0.00041533724 4.7993253e-05 4.293631e-06 2.1134205e-05 1.1306562e-05 2.8337965e-05 1.6888282e-05 1.3739619e-05 8.873504e-06 1.4502931e-05 1.5457072e-05 1.3119427e-05 1.5218537e-05 1.2785479e-05 1.14496825e-05 1.2833186e-05 0.00014288249 0.00044195773 4.451064e-05 5.667593e-05 6.049249e-05 0.00014183295 0.00011115734 7.876427e-05 8.840109e-05 0.00020423371 2.4044333e-05 1.8080957e-05 4.260236e-05 9.627275e-05 4.975841e-05 8.9927715e-05 0.00020995855 0.0006852158 0.000108867396 0.00012871351 0.00014455224 0.000251082 0.00026630054 0.00015919829 0.00016420752 0.00045846438 6.163746e-05 5.653281e-05 8.921211e-05 0.00023362123 0.00012065103 0.00022369817 0.00046309194 0.058819786 0.060639903 0.060840797 0.06131119 0.06096474 0.061270446 0.061670948 0.061484795 0.060855683 0.061530452 0.061263863 0.06182347 0.061295923 0.061966825 0.061541565 0.06210408 49132.0 5.7061996 280357.0 0.0109039545 0.009962298 0.009997967 0.010436693 0.009862426 0.010115674 0.010236948 0.0100193685 0.009855292 0.010169177 0.009969432 0.010301151 0.010318986 0.010483063 0.0104010245 0.009987266 0.010236948 0.010436693 0.010311852 0.010764847 0.010183444 0.010254783 0.010447394 0.010122808 0.010033635 0.01032612 0.009883827 0.010622171 0.010104973 0.010204846 0.010022935 0.010197712 0.00993733 0.010215547 0.010208413 0.01037249 0.010368923 0.010843318 0.010490197 0.010379623 0.010169177 0.010483063 0.010454528 0.010568668 0.010622171 0.010411725 0.010333254 0.01044026 0.009997967 0.010308285 0.010579368 0.010854018 0.0105544 0.010936056 0.010568668 0.010511598 0.010404591 0.010672107 0.0101406425 0.010458094 0.010069304 0.010415292 0.010433126 0.010361789 0.009534272 0.011414018 0.010490197 0.010846885 0.010472362 0.01227007 0.01121784 0.010622171 0.010247649 0.011210706 0.010047903 0.010707776 0.010925356 0.010707776 0.011260643 0.011403318 0.010386757 0.010315419 0.011110834 0.0112749105 0.011235675 0.010479496 0.0102761835 0.01027975 0.009851725 0.010640006 0.009940897 0.010158476 0.0095200045 0.0102761835 0.010226247 0.009908794 6.5837674 2.0 1.0 0.0 148.0 10481664.0 258048.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1528434000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 140288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.8596973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5167036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.402267 -5.006032 3.7245502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62044.0 -3588.0 140192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 140192.0 114688.0 0.0 0.0 3608.0 64941850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.26904473 0.009133347 0.0049726 0.004668155 0.0062072934 0.003687166 0.0037548204 0.002570868 0.009539274 0.002012719 0.0025201272 0.0021142007 0.005361613 0.0020465462 0.0023848184 0.008541371 0.0068330965 0.0037548204 0.003551857 0.0031459306 0.004921859 0.009082606 0.0020803735 0.0019619782 0.0031121033 0.0022495096 0.0016237061 0.001928151 0.0022495096 0.0019619782 0.0013869157 0.001674447 0.007374332 0.0014376565 0.0034503755 0.0015729653 0.004346797 0.0040423516 0.0014207428 0.00084568025 0.0018943237 0.0012177796 0.0007441986 0.0014545701 0.0017928422 0.0011162979 0.0018943237 0.0009809891 0.0021142007 0.0010486435 0.001200866 0.0047358093 0.0018774102 0.002655436 0.0011839523 0.0012516067 0.0022156823 0.00412692 0.0023171639 0.0044651916 0.001928151 0.0042453147 0.0029767945 0.0015729653 0.018791016 0.0035011163 0.0021649415 0.0037209932 0.003771734 0.014579528 0.005226304 0.005141736 0.0025032135 0.0019958054 0.00103173 0.0012685204 0.0028245721 0.004938773 0.001674447 0.0011332115 0.0102496445 0.0024355592 0.0020803735 0.0070360596 0.0023002503 0.0036364251 0.007340505 0.0080677895 0.0014207428 0.0030106218 0.0010655571 0.0018604966 0.0022156823 0.004025438 0.0034503755 0.0025877815 0.0014545701 0.005310872 0.0017928422 0.002875313 0.0043975376 0.01304039 0.0059874165 0.0024355592 0.008541371 0.0064271702 0.0071375417 0.0013361748 0.006376429 0.002181855 0.0050402544 0.0056829713 0.002875313 0.00072728505 0.006765442 0.0059705027 0.014427305 0.014190515 0.0014376565 0.001539138 0.0019450646 0.001539138 0.00065963063 0.00052432175 0.001539138 0.0038055612 0.00091333466 0.00081185304 0.0021649415 0.002740004 0.0017082741 0.007746431 0.0028922264 0.0060381573 0.0005074082 0.0003551857 0.0016237061 0.0076449495 0.0010655571 0.0136323655 0.00103173 0.0056322305 0.00043975373 0.00040592652 0.0036533386 0.0027738314 0.003078276 0.0006765442 0.0010486435 0.00047358093 0.0003382721 0.00049049454 0.0007103714 0.0005412354 0.00062580337 0.0002875313 0.00038901292 0.0006765442 0.0003382721 0.0005074082 0.0009302483 0.0013192613 0.0005750626 0.00103173 0.0009640755 0.00049049454 0.0003720993 0.00023679047 0.0011162979 0.0002537041 0.0003044449 0.00047358093 0.00087950745 0.00045666733 0.00047358093 0.00055814895 0.00065963063 0.00042284012 0.0006088898 0.0006765442 0.0010655571 0.0010655571 0.0014545701 0.0018266693 0.0018774102 0.0009640755 0.00069345784 0.0008625939 0.0016067926 0.0018604966 0.0013361748 0.00072728505 0.0064271702 0.0026385225 0.0018604966 0.0021480278 0.0022325958 0.0005412354 0.0012177796 0.0027230904 0.001843583 0.001674447 0.00059197616 0.00040592652 0.00094716187 0.0002537041 0.00052432175 0.0003551857 0.0011332115 0.0005750626 0.0007103714 0.0006765442 0.0011162979 0.0002706177 0.001928151 0.0008625939 0.0016237061 0.0003382721 0.0002706177 0.00079493946 0.0012346932 0.00023679047 0.0002537041 0.00042284012 0.0018604966 0.00055814895 0.0006088898 0.00042284012 0.0010993844 0.00016913605 0.00062580337 0.0003213585 0.0119410055 0.0031121033 0.0005074082 0.0037379067 0.0025032135 0.00055814895 0.0003551857 0.00059197616 0.0036702524 0.00079493946 0.0006088898 0.00103173 0.002181855 0.00072728505 0.0023679046 0.0015053109 0.004752723 0.0011162979 0.0011162979 0.0014883972 0.0048372913 0.002401732 0.014765577 0.0461234 0.01750837 0.00012207031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000113351 0.0 0.0 0.0 0.000113351 0.0 0.0 0.03452846 0.00037493024 0.00013078962 7.847377e-05 3.4877234e-05 6.1035156e-05 1.7438617e-05 0.0 0.0 0.00020054409 3.4877234e-05 0.0 8.719308e-06 0.00023542132 0.0 8.719308e-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 0.031930108 0.0007672991 0.0004446847 0.00034005303 0.0005405971 0.00030517578 0.00013078962 9.5912386e-05 0.00014822824 0.00015694754 0.00027901787 6.975447e-05 8.719308e-05 0.00019182477 3.4877234e-05 0.00019182477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.032060895 0.0012642996 0.004298619 0.0013427734 0.0012207031 0.0007324219 0.0073765344 0.004141671 9.5912386e-05 0.0001046317 9.5912386e-05 0.000113351 0.000113351 0.00013078962 0.00013950893 0.00034005303 0.028573172 0.000113351 0.003313337 0.0008632115 0.0032697406 0.0021100726 0.009416853 0.005153111 0.0001046317 5.231585e-05 0.00019182477 3.4877234e-05 6.1035156e-05 8.719308e-05 5.231585e-05 0.00017438616 0.023951938 0.00024414062 0.0026245117 0.0011858259 0.0062343054 0.004603795 0.018947056 0.01021031 0.00016566685 0.00019182477 0.00025285993 0.0018833706 0.00030517578 0.00019182477 0.000226702 0.0002092634 0.022277832 0.0021275112 0.002746582 0.001613072 0.0030953544 0.0023629325 0.008841379 0.0046822685 0.0003226144 0.0004272461 0.00035749163 0.002179827 0.00047956195 0.00038364955 0.0004359654 0.0012381418 0.024536133 0.00096784317 0.0018223354 0.0011422293 0.0032087055 0.0019182478 0.004307338 0.003112793 0.0022408622 0.0007411412 0.0006190709 0.0040631974 0.0014822824 0.0005318778 0.0010724749 0.0018048967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027378628 0.017987933 0.006879534 0.011413574 0.014901297 0.012451172 0.011047363 0.006626674 0.012756348 0.0027378628 0.0017438616 0.0016741072 0.004211426 0.0019618443 0.0033307758 0.023611886 0.096958704 0.025399344 0.013209752 0.020499093 0.04158238 0.03778076 0.020089285 0.026707241 0.041251045 0.012032645 0.0069231307 0.008082799 0.020141602 0.008928572 0.024492536 0.060206823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 321.0 12.074766 3876.0 0.0054179565 0.0007739938 0.0005159959 0.0007739938 0.004901961 0.00748194 0.0020639836 0.00025799795 0.0012899897 0.0036119712 0.0 0.0018059856 0.004901961 0.0005159959 0.007739938 0.0015479876 0.0020639836 0.0007739938 0.004385965 0.004901961 0.0010319918 0.0012899897 0.0005159959 0.0005159959 0.0018059856 0.0025799794 0.0 0.0025799794 0.0005159959 0.0030959751 0.0010319918 0.0 0.0018059856 0.011609907 0.0036119712 0.015221878 0.012899897 0.014705882 0.015995871 0.015479876 0.0051599587 0.013157895 0.0005159959 0.0028379774 0.010577915 0.011609907 0.0056759547 0.004901961 0.016511869 0.0033539732 0.007997936 0.019091846 0.0072239423 0.004127967 0.009545923 0.03405573 0.00025799795 0.0007739938 0.0007739938 0.0007739938 0.0023219814 0.0015479876 0.0010319918 0.0015479876 0.0005159959 0.040763672 0.006965944 0.01857585 0.02992776 0.111713104 0.009545923 0.012125903 0.011867905 0.043085657 0.0036119712 0.004385965 0.04850361 0.015737874 0.039215688 0.04592363 0.015737874 0.0012899897 0.04721362 0.0371517 0.071207434 0.021671826 0.004385965 0.007997936 0.008513932 0.010835913 0.0025799794 0.00025799795 0.0005159959 0.00025799795 0.0 0.0005159959 5.382684 1.0 0.0 0.0 1.0 59124.0 1105920.0 0.0 0.0 195.0 0.0 1.0 0.0 0.0 0.0 1387262700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 30720.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30720.0 0.0 69120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.61326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5987281 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5233216 0.0 5.1635795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -561152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30600.0 0.0 68616.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 44452.0 68616.0 1036288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 824.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.056673855 0.008299215 0.0061682374 0.0056536137 0.0057550888 0.004966068 0.0041894726 0.0054175286 0.0050489046 0.005629798 0.003749402 0.0044586924 0.004941217 0.0031747215 0.004323047 0.004637827 0.005037515 0.003758721 0.004932933 0.004156338 0.0043551465 0.003177828 0.004104565 0.0038374162 0.005073756 0.0033372887 0.0031695443 0.0029293173 0.004144948 0.0034449766 0.003787714 0.0037918559 0.006170308 0.003816707 0.0034832887 0.0030121543 0.004883231 0.004158409 0.0038363808 0.0037235154 0.004722735 0.0038943666 0.0033310761 0.0031001684 0.004372749 0.0037141964 0.0037193736 0.003580622 0.005512791 0.0039554588 0.0031012038 0.0028992891 0.003674849 0.0030691046 0.0026963388 0.0028682253 0.004176012 0.0033207214 0.0035216007 0.003346608 0.0039958414 0.00321614 0.0035081399 0.003461544 0.0066000246 0.0039554588 0.0036147921 0.0032233882 0.004151161 0.00321614 0.0035454163 0.0030711754 0.00500438 0.0037752886 0.0037038417 0.003582693 0.0041283807 0.0031270904 0.0035661256 0.0034698278 0.005176266 0.0036272176 0.0036489624 0.003329005 0.0039233593 0.0033797426 0.0033590335 0.0035360972 0.0046388623 0.0036541396 0.0038073878 0.0035102107 0.004108707 0.0033880263 0.003695558 0.003789785 0.005913514 0.0036292886 0.0033424662 0.0029541685 0.0040051606 0.003052537 0.0032668775 0.0030349344 0.0049743517 0.003171615 0.00320475 0.00305875 0.0035816575 0.002836126 0.0030918848 0.003189218 0.004502182 0.0032855158 0.003225459 0.0031467641 0.0038943666 0.0033362533 0.0032948349 0.0036261822 0.0046233307 0.0032886222 0.0034801823 0.0031747215 0.0040414017 0.003200608 0.0034698278 0.003346608 0.00864713 0.004597444 0.00402587 0.0035329908 0.004371714 0.0034335866 0.0030131896 0.003389062 0.0045373873 0.003828097 0.0029634875 0.0031995727 0.0037328347 0.0028143814 0.0028464806 0.0029841969 0.0052394294 0.0032119981 0.0034895015 0.003029757 0.003668636 0.003189218 0.003308296 0.003269984 0.004544636 0.0028423388 0.003041147 0.0027025517 0.0035205653 0.0032306365 0.002993516 0.0031581542 0.0049992027 0.0034045938 0.0032730903 0.0027895302 0.0037825368 0.0030276862 0.00305875 0.0031809343 0.004140806 0.0029997288 0.0031270904 0.0030194025 0.0036520688 0.0028454452 0.00291275 0.003043218 0.0046730326 0.0031167357 0.0038456998 0.0028620125 0.0035713029 0.0031540124 0.0029904095 0.0031208775 0.004248494 0.0031498706 0.0033321115 0.0031747215 0.0036510334 0.003189218 0.0033269343 0.0033569625 0.006715996 0.004064182 0.0037276573 0.003335218 0.004108707 0.0032513456 0.0033051895 0.0032399555 0.0043375436 0.0033258987 0.0031105229 0.0030804947 0.0036468913 0.0029821259 0.0030753172 0.0028040267 0.004244352 0.0032730903 0.0030898137 0.0029976577 0.0037162672 0.0030235443 0.002941743 0.0029552039 0.0039761676 0.003112594 0.0027325798 0.0026373176 0.0035319554 0.0029469202 0.003582693 0.0028806508 0.004950536 0.0032378845 0.0033952745 0.0029748776 0.003812565 0.0030659982 0.0031923244 0.002897218 0.004432806 0.005456876 0.0034677568 0.0031384805 0.0037815012 0.0030753172 0.003240991 0.003189218 0.0046119406 0.0033279697 0.0034139128 0.0030328634 0.0037452602 0.0030887784 0.0033093314 0.003243062 0.00435204 0.003033899 0.0031788633 0.0028661543 0.0040113735 0.003094991 0.004212253 0.004514607 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099144936 0.061999798 0.062414993 0.055321436 0.060617886 0.05956098 0.05497363 0.054504525 0.060496595 0.053217992 0.052160047 0.052962966 0.056431733 0.050559916 0.0566173 0.05381357 4023.0 5.7032065 22944.0 0.017128661 0.010416667 0.009414226 0.008586123 0.013380405 0.012465132 0.011767782 0.01154986 0.01263947 0.009806485 0.008498954 0.008673292 0.013859833 0.010591004 0.011854951 0.009893654 0.016736401 0.011854951 0.008673292 0.0075400975 0.009806485 0.008498954 0.007801604 0.008368201 0.010242329 0.008411786 0.009588564 0.008847629 0.01154986 0.009021967 0.009806485 0.009283473 0.018218271 0.010896095 0.010373082 0.009109136 0.010808926 0.008847629 0.010721757 0.008281032 0.014252092 0.011593445 0.009762901 0.008978382 0.011419107 0.009370642 0.011637029 0.009588564 0.014775105 0.009588564 0.009937239 0.009021967 0.012029288 0.009370642 0.009544979 0.009762901 0.013641911 0.009283473 0.010591004 0.009588564 0.011114017 0.009806485 0.010373082 0.010678173 0.01791318 0.010983263 0.009719317 0.008193864 0.0131188985 0.008237448 0.009370642 0.008324617 0.01542887 0.009283473 0.008891214 0.008673292 0.011331938 0.0079323575 0.009980823 0.0079759415 0.0131624825 0.0079759415 0.008716876 0.008804045 0.011462692 0.009457811 0.008281032 0.0078887725 0.011026848 0.008804045 0.011898535 0.008542539 0.011331938 0.009065551 0.009937239 0.008760461 6.554615 0.0 0.0 0.0 14.0 965754.0 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: 0.06122479 0.00439046 0.003170564 0.0034267714 0.0038052592 0.0038401966 0.0031472726 0.0038926026 0.0040439977 0.0036305725 0.0034820887 0.0031268925 0.004099315 0.004052732 0.0033452509 0.0038838682 0.0036567755 0.0039683003 0.0032549961 0.0034063912 0.0030599292 0.0045535006 0.003123981 0.0035199376 0.003438417 0.0034995575 0.0032637303 0.0030366376 0.0039683003 0.0028590395 0.0033044906 0.0029376484 0.004215773 0.003208413 0.0030249918 0.0042041275 0.0028386593 0.003496646 0.0029551173 0.004338054 0.0034675316 0.0041313414 0.004399194 0.0033714538 0.0035141148 0.003386011 0.0034005684 0.0033685425 0.0037179159 0.0029085341 0.003150184 0.004099315 0.0030890435 0.0033568966 0.0030162574 0.0030308147 0.0033889224 0.0031530955 0.0037965248 0.0035053804 0.0029813203 0.0029784087 0.0028386593 0.0028706852 0.0058898544 0.0045185634 0.0029987888 0.0034296827 0.0057355477 0.011686542 0.0032317045 0.004026529 0.00368589 0.004771859 0.003880957 0.0038343738 0.0044166627 0.0049465457 0.0040439977 0.0029580286 0.005630736 0.0037761447 0.004011972 0.004102227 0.0034820887 0.0036742443 0.004102227 0.003854754 0.0040294407 0.0033830996 0.0031589183 0.0029813203 0.0032986677 0.0032928449 0.0035286718 0.004006149 0.0040760236 0.0031268925 0.004332231 0.003517026 0.0039566546 0.003418037 0.003997415 0.003412214 0.0034238598 0.004640844 0.0037266503 0.003313225 0.0040876693 0.003543229 0.0045214747 0.0037004473 0.0034879118 0.002815368 0.004439954 0.003091955 0.0034238598 0.0034151257 0.0033306936 0.0029347371 0.0031006895 0.0032899333 0.0034063912 0.0034587972 0.0029172683 0.0030366376 0.002876508 0.0032317045 0.0045971726 0.0049349 0.0031298038 0.003534495 0.0031385382 0.0036946244 0.0029900544 0.003901337 0.003260819 0.00394792 0.0035781665 0.0061082128 0.0029085341 0.004116784 0.0053104768 0.0033103134 0.0035985466 0.003188033 0.0048271767 0.0031472726 0.0031298038 0.0034238598 0.0034500628 0.0037790562 0.0029260027 0.0033452509 0.003811082 0.0029871431 0.0034587972 0.0029434713 0.0041255183 0.0030773978 0.003490823 0.0034267714 0.0032666419 0.0034267714 0.0038198165 0.0033714538 0.0028444822 0.0033219592 0.0029958773 0.0034005684 0.0033568966 0.0028590395 0.0039857686 0.0036655099 0.0028095448 0.002797899 0.003942097 0.002725113 0.003313225 0.0032782876 0.0033568966 0.003208413 0.0034093026 0.0038460195 0.0041255183 0.0029725858 0.0034850002 0.0039770347 0.003575255 0.0037179159 0.003123981 0.0033161363 0.0035315834 0.0035927237 0.0033306936 0.0033044906 0.0029987888 0.0029172683 0.0103239855 0.0033889224 0.004326408 0.0052114874 0.004163367 0.004259445 0.0057151676 0.0033568966 0.0033248707 0.0035141148 0.0042972937 0.0036247496 0.0044457773 0.002829925 0.0038489308 0.0027804305 0.0031210696 0.0033976568 0.0034995575 0.0040934924 0.0030337262 0.003339428 0.003097778 0.0034995575 0.00394792 0.0029085341 0.0036393069 0.003738296 0.0034500628 0.003522849 0.002992966 0.0037237387 0.003091955 0.004026529 0.005403643 0.0030628406 0.002861951 0.003019169 0.0041662785 0.0038751338 0.0030803094 0.0037674105 0.0043962826 0.004078935 0.0035315834 0.0032433502 0.0032782876 0.0042245076 0.003287022 0.003837285 0.0044312202 0.0048009735 0.003438417 0.004195393 0.0045913495 0.003942097 0.004137164 0.0062072016 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.05381181 0.051844064 0.054409735 0.049956728 0.05306623 0.053281132 0.054764982 0.04932518 0.052171536 0.052244633 0.050699383 0.053314757 0.053810347 0.05323874 0.052430294 0.055941828 1404.0 7.8240743 10985.0 0.008648156 0.0070095584 0.0066454257 0.0061902595 0.0062812925 0.0074647246 0.006008193 0.0061902595 0.007191625 0.0061902595 0.006463359 0.0054619936 0.006554392 0.00591716 0.020755576 0.004824761 0.006372326 0.006008193 0.0069185253 0.0093764225 0.0058261263 0.0057350933 0.006554392 0.0070095584 0.0067364587 0.007191625 0.007191625 0.006554392 0.004824761 0.0069185253 0.00591716 0.0054619936 0.020391444 0.03559399 0.006372326 0.0070095584 0.06681839 0.0073736915 0.0067364587 0.038507055 0.006554392 0.03668639 0.0061902595 0.0055530267 0.0067364587 0.008557123 0.035320893 0.0061902595 0.03777879 0.0074647246 0.019936277 0.0073736915 0.006372326 0.00564406 0.0068274923 0.007646791 0.036231223 0.007282658 0.0060992264 0.00591716 0.0055530267 0.00564406 0.006463359 0.010104688 0.006372326 0.010286755 0.0069185253 0.008375057 0.025489304 0.017933546 0.0075557576 0.009649522 0.006554392 0.010286755 0.007282658 0.0060992264 0.010468821 0.010013655 0.010923987 0.010468821 0.0069185253 0.0055530267 0.010377788 0.010104688 0.0136549845 0.007282658 0.0058261263 0.0062812925 0.006554392 0.0062812925 0.02002731 0.0057350933 0.0058261263 0.0066454257 0.0066454257 0.0062812925 6.1876287 0.0 0.0 0.0 9.0 343472.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.16454844 0.011174823 0.009341588 0.006666175 0.007385515 0.0034365172 0.005012284 0.0034846698 0.004669811 0.0029102792 0.006519261 0.0027869497 0.0032188483 0.002513758 0.0029766117 0.0024380896 0.0033465999 0.0055282037 0.0029864386 0.0033362815 0.0028439465 0.009169615 0.002836085 0.0024366155 0.009388266 0.0022484276 0.0021555622 0.0023019852 0.001996364 0.0019197131 0.002007665 0.002894556 0.0044437894 0.0022464623 0.002477398 0.009279186 0.002233687 0.009263463 0.0023481722 0.0019998034 0.0044482113 0.001953125 0.0026287343 0.0021142885 0.0033633057 0.0026292256 0.002561419 0.0024695361 0.006390527 0.003856132 0.0024660968 0.002616942 0.002373231 0.0023751964 0.003011989 0.0026852398 0.008592276 0.0023835495 0.0019236439 0.0019565644 0.0021029874 0.0020543435 0.0022980543 0.0031141902 0.0035003931 0.0025201454 0.002237618 0.002660181 0.0023054245 0.002201258 0.0018946541 0.0018396226 0.0020818594 0.002120676 0.0016971305 0.0018715606 0.0019580384 0.0019118515 0.0018573113 0.0033829599 0.002414996 0.0027073505 0.0018322524 0.0020420598 0.0023034592 0.0017752555 0.0019177477 0.0019079206 0.002201258 0.002175216 0.0022916666 0.0019020244 0.0017988404 0.0015983687 0.0018111243 0.0028144654 0.0025314465 0.0029903695 0.002470519 0.0020656446 0.0023010024 0.00408068 0.0019634434 0.0023643868 0.0019344536 0.0027854757 0.0016676494 0.0023697917 0.0031033806 0.002466588 0.0026690252 0.0048584905 0.0030542454 0.0020966 0.0032468555 0.0026886791 0.0035328222 0.0025127751 0.00203125 0.0025633844 0.002566824 0.0022985456 0.0026591981 0.0024793632 0.001968357 0.0024842767 0.0022675905 0.0029510614 0.004312107 0.0023127948 0.002413522 0.0022017492 0.002483294 0.002056309 0.0025373427 0.0024425117 0.00476022 0.0018312697 0.0027230738 0.0025643671 0.0018342178 0.001996364 0.0016971305 0.0021265724 0.002199784 0.002854265 0.0018229167 0.0016445558 0.0017108883 0.001752162 0.0017836085 0.0016499606 0.0017162933 0.001982606 0.0016258844 0.0016868121 0.0015551298 0.0016701061 0.0017934355 0.0021865172 0.002107901 0.0015968947 0.0021422957 0.0017246462 0.0017339819 0.0018489583 0.0018494497 0.0017614977 0.0019187303 0.002032724 0.002327044 0.0018990763 0.0018347091 0.00238011 0.0021658805 0.0030586675 0.00238011 0.0021452438 0.002245971 0.027554048 0.00246364 0.0020292846 0.0027383058 0.002975629 0.0020681014 0.0018951454 0.0026881879 0.003272897 0.0030576847 0.002738797 0.0031874017 0.0036094734 0.0048737223 0.03730002 0.0026557588 0.0019177477 0.0022911753 0.002119202 0.0017329992 0.0018592767 0.0022833138 0.0016475039 0.001710397 0.0015649567 0.0016676494 0.0017600235 0.0015305621 0.0023245872 0.008623231 0.005651042 0.0017261202 0.0016769851 0.0017713247 0.0016779677 0.0023476807 0.0018170205 0.0017000786 0.0019830975 0.0019939071 0.0020376376 0.0019290488 0.0017374214 0.0019251179 0.0021968356 0.0024739583 0.0017305424 0.0017280857 0.0018337264 0.0017958923 0.0017030267 0.0017148192 0.0017811517 0.0016607704 0.0016917257 0.0017049921 0.0017644458 0.0016553656 0.0019025158 0.0018347091 0.002336871 0.0031171383 0.0020695755 0.0018995677 0.0019943987 0.0020936518 0.0020209316 0.0020302674 0.0023447326 0.0028522995 0.0022449882 0.0021840606 0.002515232 0.0026744301 0.0032586479 0.005527221 0.095767 0.0020005764 1.7210316e-06 7.3758497e-07 2.212755e-06 1.7210316e-06 2.4586166e-07 3.4420632e-06 1.2293083e-06 2.4586166e-07 0.0 0.0 2.4586166e-07 4.917233e-07 4.917233e-07 0.0 7.3758497e-07 0.0037378347 2.0406518e-05 1.7210315e-05 4.6713717e-06 1.9668933e-06 0.0 1.7456177e-05 0.0 1.2293083e-06 2.4586166e-07 7.6217116e-06 1.4751699e-06 0.0 1.7210316e-06 0.0 0.00021635825 0.0018107711 0.0 1.7210316e-06 4.917233e-07 0.0 0.0 4.917233e-07 2.7044782e-06 4.917233e-07 4.917233e-07 1.4751699e-06 7.720056e-05 0.0 1.3522391e-05 0.0 0.00010473707 0.0031069538 6.638265e-06 0.0008917402 0.0029527985 3.7616832e-05 1.6472732e-05 0.00018537969 8.85102e-05 5.6548183e-06 1.7210316e-06 0.00010596638 0.0026275236 4.179648e-05 1.5489284e-05 1.2293083e-06 0.0019991011 0.022834156 0.00026454715 0.00091140915 0.0012184904 0.00020529448 2.4340305e-05 0.00047475885 9.6869495e-05 3.2207878e-05 2.0160656e-05 0.00042730756 0.0026912016 0.0001750535 0.008318729 1.4014115e-05 0.0010628599 0.008520828 9.047709e-05 0.0007282422 5.06475e-05 0.0001231767 6.269472e-05 0.00038256074 7.351264e-05 7.1791605e-05 0.00016054766 0.00030437674 0.0032097239 0.005777011 0.0018887093 0.00015882663 0.0065942556 0.006927398 0.0001507132 0.0008499437 7.080816e-05 7.744642e-05 4.450096e-05 5.5564735e-05 0.00010596638 6.712023e-05 5.949852e-05 0.0004046883 0.0031804664 0.0062684887 0.00055097596 0.00014776285 0.0067184158 0.014872172 0.0019750067 0.0028532245 0.00086469547 0.0008231448 0.00059351005 0.0024787772 0.0015877746 0.00042411135 0.00025274578 0.0007823318 0.0052007115 0.0073829796 0.0006072783 0.0002724147 0.010892163 0.036086835 0.013742683 0.0084274 0.0027128374 0.0011115406 0.0009824631 0.0015113116 0.0016686631 0.0015432736 0.0007277505 0.00094927184 0.004634246 0.006264063 0.0009060002 0.00034518976 0.028658371 0.015839145 0.0024517325 0.0027910215 0.0027762698 0.0022461922 0.0018016743 0.0037238207 0.0030752376 0.0021498143 0.0006365358 0.0010655645 0.0042979075 0.0036815323 0.0006916088 0.0003847735 0.0067678336 0.032510288 0.0046593244 0.004524346 0.007956083 0.0016059683 0.001972548 0.0025340961 0.0029830395 0.0027974139 0.0014717279 0.001604739 0.0059294454 0.0049073985 0.001471482 0.0013765794 0.017365208 0.02851774 0.00530004 0.0059525566 0.0042755343 0.002008198 0.0026734998 0.003372976 0.0036898917 0.0038587986 0.0017795467 0.001730866 0.005134575 0.0043901056 0.0015612216 0.0011523536 0.010704816 0.011756367 0.0017001333 0.0019241134 0.0017156226 0.0016160486 0.0013655156 0.001757665 0.0020259 0.0027022655 0.0011614505 0.001725703 0.0040547503 0.0045413105 0.00096525287 0.00074323977 0.009086555 0.0050440975 0.0010372903 0.00092001434 0.0009168181 0.0008344545 0.00072234153 0.0009804963 0.0008541234 0.0011668594 0.00067956164 0.00079241215 0.0019341937 0.0017055423 0.0005372077 0.0005389287 0.0039942684 0.0041164616 0.0011466987 0.0011407981 0.0010864626 0.000972137 0.00080224656 0.0013583857 0.001044912 0.0008811682 0.00067931577 0.00068521645 0.00073463464 0.00079339556 0.0006500582 0.0006923464 0.0013426505 0.041324917 0.02488415 0.024471102 0.02360444 0.024386525 0.022447169 0.023666643 0.02403396 0.024589607 0.022018878 0.021809896 0.023384886 0.023361282 0.022645334 0.023479296 0.029186975 8918.0 11.367459 101375.0 0.009104809 0.0024266338 0.005405672 0.0029297164 0.0032256474 0.004942047 0.0030382243 0.004004932 0.00659926 0.0039358814 0.0060961777 0.0047447598 0.030244144 0.012922318 0.016552404 0.007546239 0.07247349 0.034860667 0.015348952 0.018041924 0.014885327 0.013889026 0.022549938 0.019363748 0.010456227 0.013159063 0.0050110975 0.0042614057 0.0068557337 0.007625154 0.004508015 0.01211344 0.008483354 0.008118372 0.008078915 0.009509248 0.0101307025 0.0070234276 0.0058298395 0.0044488288 0.0047250306 0.007329223 0.0027225646 0.0058199754 0.008246609 0.0058692973 0.0044192355 0.025351418 0.0076054255 0.0035807644 0.0054155365 0.009844637 0.014579532 0.0046855733 0.0050406903 0.004596794 0.007408138 0.00644143 0.00659926 0.006303329 0.002219482 0.0024562269 0.0030086313 0.018278668 0.0038273735 0.022263872 0.009519112 0.010909988 0.009272503 0.04309741 0.006510481 0.011580764 0.006027127 0.020902589 0.0027718865 0.0061750924 0.01568434 0.012438964 0.019442663 0.022520345 0.008177559 0.0024759555 0.021080147 0.017765721 0.032641184 0.012715166 0.0041726264 0.010160296 0.00838471 0.00815783 0.0037879162 0.0022096178 0.002249075 0.0029593094 0.0024266338 0.004399507 6.120467 0.0 5.0 0.0 17.0 2035200.0 2048000.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 6.0 0.0 4.0 0.0 4.0 0.0 1970176.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1970176.0 0.0 58880.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.10191043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.052499507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7591825 0.0 5.796434 0.6805245 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 0.0 0.0 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 -1970176.0 0.0 58880.0 512.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1978368.0 58832.0 1986560.0 0.0 0.0 0.0 0.0 12.0 1982464.0 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 1978420.0 0.0 0.0 72.0 4096.0


Input: 0.16050115 0.009122747 0.0051226164 0.0041593197 0.0071961535 0.0037368566 0.0029205035 0.002544981 0.007285952 0.0024490596 0.00362869 0.0020327193 0.0052940506 0.0036878756 0.0018429173 0.0072635026 0.008843146 0.002075578 0.0023959966 0.0016816875 0.0030266293 0.002510286 0.0019898608 0.0014857628 0.005930806 0.0017510776 0.0014878036 0.0016633197 0.0024572231 0.0015898478 0.0018388355 0.00198782 0.017480163 0.002163336 0.002614371 0.0024123236 0.0043001403 0.0023143613 0.001532703 0.0017878135 0.0025776352 0.0023470153 0.0018204676 0.0026694748 0.0030062206 0.0026470253 0.0019327161 0.0013816778 0.005114453 0.0022796663 0.002285789 0.0055614063 0.0022551757 0.0022694618 0.0021184366 0.001953125 0.0027041698 0.0025572265 0.0022633392 0.0043552443 0.0030572426 0.0037940014 0.003540932 0.003642976 0.005810394 0.004289936 0.0040042126 0.008106387 0.007063496 0.010971786 0.0039348225 0.002965403 0.0034695012 0.0033062303 0.0024347734 0.0020817006 0.0034348061 0.004706276 0.0029531578 0.0023306883 0.00672675 0.00332868 0.0066696056 0.0035144005 0.003977681 0.0039123725 0.00397564 0.0032368405 0.0021612952 0.0037715517 0.0015449484 0.0029572395 0.002038842 0.00390625 0.0030021388 0.0027653964 0.0020592508 0.005063431 0.0053613996 0.0025266132 0.004736889 0.008475787 0.005506302 0.0032184725 0.0038940047 0.0046287226 0.005175679 0.0019959835 0.0052226195 0.0035511365 0.005008327 0.0040858476 0.0026470253 0.0012694292 0.0044368794 0.0050715944 0.009912568 0.008955395 0.001985779 0.0017633229 0.0019388389 0.0017816909 0.0012816745 0.00120208 0.0016714832 0.002267421 0.0018429173 0.0017163826 0.003312353 0.0022204807 0.0018551627 0.008634976 0.003014384 0.007792091 0.0012286116 0.0011286082 0.002406201 0.0070349234 0.0021735404 0.02286197 0.0015776026 0.0069165523 0.0010959541 0.0010571774 0.0027776416 0.0013571872 0.0012775927 0.0012367751 0.0014429042 0.001255143 0.0010469729 0.00090411113 0.0013061651 0.0011530989 0.001010237 0.001100036 0.001289838 0.0013735142 0.0010592183 0.001412291 0.0017551593 0.0020531283 0.001446986 0.0016674014 0.001516376 0.0014755584 0.0012163663 0.0012306524 0.002055169 0.0013816778 0.001481681 0.0014000457 0.0013204513 0.0011653441 0.0011653441 0.0011449354 0.0018388355 0.0012122844 0.0014245363 0.0015939296 0.0014918854 0.0015898478 0.0024449779 0.0017776091 0.0025266132 0.0016674014 0.0016102566 0.0015551528 0.0022470122 0.0016490334 0.0017041373 0.0014714766 0.0068063447 0.0035980768 0.0030878559 0.00418381 0.0030449973 0.0018572035 0.002979689 0.0030103023 0.0027674374 0.0032001045 0.0017347506 0.0014592314 0.008363538 0.0015061717 0.0019653703 0.0015959705 0.0020653736 0.0015592346 0.001744955 0.0013571872 0.0015755617 0.0012082027 0.0015224987 0.0014449451 0.0024653866 0.0019898608 0.0015061717 0.002179663 0.0020184333 0.0020163923 0.001955166 0.0017490367 0.0027123336 0.0015959705 0.0015714798 0.0013531054 0.0021959902 0.0021061911 0.001446986 0.0013837187 0.013373906 0.002879686 0.0015714798 0.0038082877 0.0037593064 0.0011081995 0.0012918789 0.001255143 0.0036531806 0.0017184234 0.0016184202 0.0017776091 0.0027123336 0.0015898478 0.0037042026 0.0023959966 0.00455321 0.0025511037 0.0021123139 0.0023817103 0.0057777395 0.0026062075 0.0038470645 0.06362045 0.012538694 3.4804114e-05 3.0709512e-06 1.0236504e-06 0.0 0.0 1.0236504e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018384762 0.00011874345 0.00010645964 3.2756812e-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 0.0018394998 0.0 0.0 1.0236504e-06 2.0473008e-06 2.8662213e-05 2.0473008e-06 2.0473008e-06 3.4804114e-05 1.0236504e-06 2.7638562e-05 1.0236504e-06 3.4804114e-05 2.661491e-05 3.3780463e-05 6.141903e-05 0.0034302527 0.00011874345 0.000125909 0.00012283806 0.00015047661 6.2442676e-05 2.252031e-05 1.2283805e-05 2.7638562e-05 9.212854e-06 1.3307455e-05 2.0473008e-05 1.2283805e-05 1.3307455e-05 3.5827765e-05 1.5354757e-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 0.006137808 0.00030402417 0.00040331826 0.000105436 0.00021906118 0.0001340982 0.00039922367 0.0002354396 5.015887e-05 1.5354757e-05 4.4016968e-05 2.354396e-05 5.6300774e-05 2.7638562e-05 2.9685862e-05 0.00020063548 0.017322212 0.0009765625 0.0022909297 0.0003347337 0.0012355461 0.00037670336 0.0030095323 0.0014945297 0.00026103086 0.00015764216 9.417584e-05 0.000103388695 8.393933e-05 8.2915685e-05 6.5513625e-05 0.0014607492 0.0068564103 0.0021599024 0.0028979543 0.0035950602 0.0022233687 0.00030607148 0.0012938941 0.00070734246 0.00017811517 0.00010236504 3.7875066e-05 4.0946015e-05 6.141903e-05 7.165553e-05 4.708792e-05 0.004577765 0.018363265 0.001106566 0.0076876148 0.0029501605 0.008041798 0.0028887414 0.007881084 0.004120193 0.00064694707 0.00039717637 0.00024669975 0.0011352283 0.0003838689 0.00045961904 0.00043505142 0.004052632 0.013521398 0.0011342047 0.0025888118 0.00178627 0.004834701 0.0012631846 0.004989272 0.0028129914 0.000357254 0.00033780464 0.00022622674 0.0008977414 0.0006162376 0.00022622674 0.00047804473 0.0016654793 0.014429376 0.0016153203 0.0020227332 0.009509712 0.0057150405 0.0027392886 0.0022479363 0.0018302869 0.0018057193 0.0011147553 0.0025284165 0.0031589852 0.0020350171 0.004079247 0.0021425004 0.012208055 0.015933119 0.00080458925 0.0011557013 0.0027485015 0.007697851 0.0042143688 0.0015815399 0.0017872936 0.0055748 0.001300036 0.0026225923 0.0026307816 0.0051213233 0.0025458187 0.003548996 0.020397259 0.053437624 0.008172825 0.014615681 0.00914734 0.017004881 0.016571878 0.027517771 0.015432553 0.025331253 0.004181612 0.004202085 0.005393614 0.014624894 0.005582989 0.011359449 0.025285188 0.03415 0.008316136 0.0063589164 0.00694035 0.011907102 0.013878653 0.0067253835 0.009241516 0.02225109 0.00251818 0.0026451126 0.0032746578 0.012965556 0.0047609983 0.010549741 0.019617237 0.028124794 0.017925143 0.012817127 0.011925528 0.0129860295 0.015146955 0.014965769 0.012155849 0.017979397 0.010862978 0.010817938 0.01118031 0.015244202 0.0105292685 0.01477537 0.017364182 2805.0 14.018182 39321.0 0.1674932 0.0015259022 0.0017039242 0.001627629 0.004806592 0.0009155413 0.0012207218 0.0041962313 0.0056967014 0.0045014117 0.0017293558 0.0013478802 0.007832965 0.0018056509 0.009308004 0.0013224486 0.0058747237 0.0051880674 0.005264363 0.0048574554 0.0051117726 0.0052897944 0.0041962313 0.00478116 0.005569543 0.004730297 0.004043641 0.004170799 0.0055186795 0.006917423 0.0043996847 0.004882887 0.008087282 0.010503293 0.0035350067 0.01060502 0.008875664 0.01358053 0.003941914 0.004450548 0.0035858701 0.012995601 0.002136263 0.0012970169 0.013605962 0.005315226 0.010833906 0.0076040793 0.01253783 0.0020853996 0.0147503875 0.011011927 0.021540653 0.005060909 0.004603138 0.0053660893 0.0035350067 0.002492307 0.0017039242 0.0053660893 0.0021108314 0.0057221334 0.0015767656 0.005035477 0.003178963 0.03735917 0.0074769207 0.014953841 0.028559802 0.061926197 0.010961064 0.010910201 0.0066631064 0.025991201 0.007680374 0.0043488215 0.022608785 0.017268127 0.029983979 0.030085705 0.00956232 0.0017547875 0.027949441 0.032171104 0.04272526 0.01670863 0.0043233894 0.0034587116 0.003840187 0.0062307674 0.001627629 0.0010935633 0.0019582412 0.0012207218 0.0009155413 0.0012207218 5.553934 1.0 0.0 0.0 4.0 489984.0 548864.0 1.0 0.0 107.0 1.0 1.0 0.0 1.0 0.0 1510657700.0 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 14.0 0.0 6.0 0.0 6.0 0.0 226816.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -227840.0 0.0 148992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.616907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.115382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.219239 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.73198 0.0 6.896742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47454.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -227629.0 0.0 148560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 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 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 278316.0 148560.0 385024.0 0.0 0.0 0.0 0.0 9396.0 536576.0 84.0 269712.0 0.0 0.0 0.0 0.0 24.0 269892.0 64.0 269800.0 0.0 0.0 448.0 233472.0 0.0 0.0 0.0 0.0