Input: 0.056687355 0.0083053345 0.0061738496 0.0056518535 0.005758531 0.004960001 0.0041987565 0.005427105 0.0050490717 0.0056269965 0.0037554738 0.0044701113 0.004955858 0.0031692635 0.004319934 0.004635825 0.005041822 0.0037772236 0.0049289297 0.004160435 0.004361362 0.003174442 0.004105543 0.0038455802 0.005066679 0.0033505124 0.003159942 0.0029279438 0.004155257 0.0034457974 0.0037886163 0.0037875806 0.0061665997 0.003817616 0.003482047 0.0030201217 0.004896823 0.0041625067 0.0038383303 0.0037150811 0.0047362885 0.0038963298 0.0033380839 0.0030936569 0.0043717194 0.0037306168 0.0037202598 0.0035752608 0.0055089258 0.0039522583 0.003104014 0.0029020512 0.0036788315 0.0030667286 0.002690767 0.0028730512 0.004164578 0.0033184052 0.0035255468 0.0033525836 0.004003008 0.003221049 0.0035100111 0.0034530472 0.0065995255 0.0039543295 0.0036146175 0.0032158704 0.004155257 0.0032220846 0.0035441895 0.0030687999 0.004998322 0.0037844735 0.0037005811 0.0035876893 0.0041241855 0.003124728 0.0035659394 0.003461333 0.0051609282 0.0036280816 0.0036467244 0.0033329052 0.003934651 0.0033826192 0.0033608694 0.0035359038 0.004656539 0.0036467244 0.0038031163 0.0035006898 0.004107614 0.0033846905 0.0036850455 0.0037927593 0.005921137 0.0036311888 0.0033360124 0.0029569436 0.004009222 0.003051193 0.003269727 0.003026336 0.0049693226 0.0031651207 0.0031910134 0.0030543 0.0035731893 0.0028305873 0.0030832998 0.0032024062 0.00451154 0.003294584 0.0032231202 0.003146478 0.003892187 0.003326691 0.0032976912 0.0036249745 0.0046182177 0.003294584 0.0034789399 0.0031723706 0.004030972 0.003195156 0.0034696185 0.0033401551 0.008644011 0.0046006106 0.0040144003 0.0035379753 0.004362398 0.0034312974 0.003019086 0.0033919406 0.004538468 0.0038331517 0.0029652293 0.0031899777 0.003723367 0.0027974448 0.0028471586 0.002976622 0.0052313562 0.0032127632 0.0035100111 0.0030315146 0.0036581173 0.0031785849 0.003304941 0.0032583342 0.00454054 0.0028430158 0.003036693 0.0027031954 0.003517261 0.0032251917 0.002980765 0.0031475136 0.0050066076 0.0034230119 0.0032655844 0.0028015876 0.0037751521 0.0030139075 0.0030491215 0.0031785849 0.004143864 0.0030066576 0.003121621 0.0030139075 0.0036446531 0.0028378372 0.0029186225 0.0030284075 0.0046782885 0.0031060854 0.0038455802 0.0028637298 0.0035649035 0.0031454423 0.0029880148 0.0031185139 0.0042546843 0.0031475136 0.0033380839 0.0031858347 0.0036550101 0.0031899777 0.0033329052 0.0033474052 0.00671656 0.004055829 0.0037275096 0.0033318696 0.0041179713 0.0032510844 0.003304941 0.0032262274 0.004330291 0.0033246195 0.0031185139 0.0030843355 0.003651903 0.0029859433 0.0030812284 0.0027943377 0.0042474344 0.0032728342 0.0030957283 0.0030056217 0.0037130096 0.0030221932 0.0029403723 0.002944515 0.0039791865 0.0031122996 0.002725981 0.0026451957 0.0035338325 0.002941408 0.0035804391 0.0028937655 0.004955858 0.003231406 0.003397119 0.0029714436 0.0038031163 0.0030708713 0.003196192 0.0029051583 0.0044442187 0.005444712 0.0034665114 0.0031340495 0.0037927593 0.0030853713 0.0032531559 0.003196192 0.0046120035 0.0033204767 0.0034188689 0.0030398 0.0037326883 0.0030843355 0.0033173696 0.003241763 0.004347898 0.003036693 0.003195156 0.0028678728 0.0040175077 0.0030977998 0.004225685 0.004515683 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09923473 0.062027287 0.06244292 0.055321593 0.060602397 0.059545405 0.054933976 0.054474235 0.060463853 0.05314482 0.052123636 0.052954387 0.056423206 0.050553974 0.056654118 0.053839106 4025.0 5.7031054 22955.0 0.017164016 0.010455239 0.009366151 0.008712699 0.0134611195 0.012502722 0.01184927 0.011457199 0.012633413 0.009758223 0.008494881 0.008582008 0.013940318 0.010498802 0.011762143 0.009932477 0.01672838 0.011892834 0.008712699 0.0075364844 0.009801786 0.008451317 0.007884992 0.00836419 0.010368112 0.008407754 0.009627532 0.008886953 0.011587889 0.00897408 0.009671096 0.009148334 0.017991723 0.010934437 0.010324548 0.009061207 0.01084731 0.008843389 0.010673056 0.008277064 0.014201699 0.011587889 0.009758223 0.008930516 0.011457199 0.009453278 0.01171858 0.009540405 0.014768024 0.009627532 0.010019603 0.00897408 0.012023524 0.009366151 0.009583969 0.009801786 0.013722501 0.00923546 0.010498802 0.009540405 0.011108691 0.009801786 0.010411675 0.010673056 0.017991723 0.010978 0.009758223 0.008189937 0.0130690485 0.008233501 0.009366151 0.008320628 0.015421477 0.009279024 0.008886953 0.008712699 0.011326509 0.008015683 0.009932477 0.007928556 0.013199738 0.007972119 0.008669135 0.008843389 0.011544326 0.009540405 0.008233501 0.007884992 0.010890873 0.0090176435 0.011892834 0.0085384445 0.011282945 0.00897408 0.010019603 0.008712699 6.554636 0.0 0.0 0.0 14.0 965524.0 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: 0.043161977 0.008499668 0.0062024607 0.008040227 0.009061208 0.00704477 0.007631834 0.0066874265 0.008295472 0.0056664455 0.00597274 0.0071723927 0.007657359 0.0055898717 0.0046454645 0.006355608 0.008065751 0.00513043 0.0038286794 0.0040584 0.005743019 0.0039307773 0.0043391697 0.004722038 0.005309102 0.004773087 0.0037776304 0.004390219 0.004926234 0.0036244832 0.0036244832 0.0028842718 0.0065853284 0.004773087 0.003037419 0.003522385 0.0042625964 0.0033437132 0.0031139925 0.0035479094 0.0038797285 0.003088468 0.0033181887 0.005155955 0.0039307773 0.0035989585 0.0042881207 0.0032671397 0.005053857 0.0027821737 0.0036500078 0.0037010568 0.0040328754 0.0032160906 0.0038797285 0.003573434 0.0037010568 0.0043646945 0.0029353208 0.0055898717 0.0034968604 0.0033692378 0.0023227322 0.0030629435 0.006432181 0.0052835774 0.0038286794 0.0041349735 0.003803155 0.0045178416 0.0045178416 0.0036244832 0.0039818264 0.0028332227 0.0028076982 0.003803155 0.0037010568 0.0041349735 0.00298637 0.0033947623 0.006227985 0.0041860226 0.0033437132 0.003956302 0.003088468 0.0034968604 0.005053857 0.004977283 0.0043136454 0.004722038 0.0028076982 0.0042881207 0.0033692378 0.0034458113 0.003037419 0.0037010568 0.0043136454 0.004390219 0.0023993058 0.0031139925 0.005028332 0.003956302 0.0043646945 0.0025269284 0.0065342793 0.0032671397 0.0041604983 0.0037010568 0.0055898717 0.0039818264 0.0040328754 0.0033437132 0.0041349735 0.0018377661 0.004109449 0.0042115473 0.0073000155 0.0060493136 0.0047986116 0.003522385 0.003573434 0.0027566492 0.0021440603 0.0026800756 0.0044412683 0.003573434 0.0037265813 0.0035479094 0.0068660984 0.0040584 0.0033437132 0.0062024607 0.0032160906 0.003854204 0.0025269284 0.0021951096 0.0047475626 0.0043136454 0.0042625964 0.0066363774 0.00298637 0.0057174945 0.0019143397 0.0019909132 0.0037521059 0.0019653887 0.0024248303 0.0026290265 0.0021951096 0.0021695849 0.002552453 0.0027311246 0.0026800756 0.0022716832 0.0022206341 0.0025779775 0.0023737813 0.0022206341 0.0020419622 0.0014038491 0.003956302 0.003573434 0.0021185358 0.0032416151 0.0020164377 0.0028842718 0.0022206341 0.0017356679 0.00298637 0.0024758794 0.0021951096 0.0020419622 0.0025269284 0.0033181887 0.0024248303 0.0015825208 0.0040839245 0.0023993058 0.0022716832 0.0027821737 0.0027056 0.0030629435 0.0045178416 0.0037521059 0.0040584 0.00298637 0.002501404 0.0027566492 0.0028587473 0.0021440603 0.003190566 0.003522385 0.005079381 0.0053346264 0.003573434 0.003956302 0.0034968604 0.0023227322 0.0034202868 0.003139517 0.0040584 0.0036500078 0.0021695849 0.0023737813 0.0028587473 0.0028332227 0.002552453 0.0027056 0.0038797285 0.0029608454 0.0025779775 0.002552453 0.0032160906 0.001786717 0.0027311246 0.002603502 0.0055643474 0.0034202868 0.003088468 0.004722038 0.0037265813 0.0032671397 0.0027056 0.003088468 0.004670989 0.002603502 0.0027056 0.0015825208 0.0033947623 0.001250702 0.0022972077 0.0017101434 0.0042370716 0.0024503549 0.0021951096 0.00625351 0.0035989585 0.0034968604 0.0027056 0.0024248303 0.005053857 0.0024503549 0.0029608454 0.0022206341 0.0030118944 0.0020419622 0.0041860226 0.0032926642 0.0036755323 0.0025269284 0.0024503549 0.003190566 0.0041860226 0.0030629435 0.003573434 0.008014702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023199957 0.0023754223 0.0019003379 0.0017287795 0.0027053421 0.0025073902 0.003391575 0.0031276394 0.0028769004 0.0011745144 0.00065983954 0.0013460726 0.0017551731 0.0015440244 0.0015176309 0.0022434543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.109480575 0.072569154 0.062038112 0.05805268 0.062104095 0.0628959 0.06176098 0.059939824 0.06306746 0.037478887 0.041358743 0.04926362 0.052866343 0.051414695 0.047033362 0.054621518 271.0 6.697417 1815.0 0.02258953 0.011570248 0.0044077137 0.005509642 0.011019284 0.005509642 0.008815427 0.008815427 0.013774104 0.0071625346 0.005509642 0.012672177 0.0066115703 0.008264462 0.014325069 0.0038567493 0.011570248 0.011019284 0.009366391 0.01046832 0.008264462 0.0071625346 0.009917355 0.0066115703 0.008264462 0.011570248 0.0071625346 0.01046832 0.0049586776 0.009366391 0.0038567493 0.0071625346 0.0077134985 0.013774104 0.009366391 0.015426997 0.01046832 0.009917355 0.0132231405 0.008815427 0.0077134985 0.011570248 0.005509642 0.008264462 0.0132231405 0.0077134985 0.009366391 0.009366391 0.015977962 0.009366391 0.011019284 0.014325069 0.009917355 0.009917355 0.011019284 0.01046832 0.012672177 0.009366391 0.0044077137 0.0071625346 0.0071625346 0.0022038568 0.0044077137 0.01046832 0.0071625346 0.025344353 0.0071625346 0.011570248 0.018732782 0.024793388 0.008815427 0.008264462 0.015977962 0.011570248 0.005509642 0.011019284 0.02369146 0.012121212 0.019283747 0.01707989 0.016528925 0.0044077137 0.017630855 0.013774104 0.02369146 0.018181818 0.009366391 0.008815427 0.0077134985 0.012121212 0.0049586776 0.0049586776 0.0071625346 0.0071625346 0.005509642 0.011019284 6.4433727 0.0 0.0 0.0 1.0 39178.0 102400.0 0.0 0.0 5.0 0.0 0.0 0.0 0.0 0.0 1159198200.0 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 40960.0 4096.0 4096.0 3.0 1.0 3.0 2.0 3.0 37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.090615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.3373703 0.007865287 0.0050449446 0.003989201 0.007179054 0.002601653 0.0016891892 0.001975748 0.006228885 0.0013196791 0.0016816482 0.0012518099 0.003921332 0.0011763996 0.0010557432 0.0034160835 0.0050374037 0.0010632842 0.0008521356 0.024508325 0.014192206 0.013128921 0.0007013152 0.00079934846 0.0015685328 0.00060328183 0.00060328183 0.00066361006 0.0012442688 0.0007390203 0.00067115104 0.00086721766 0.0050675673 0.0004524614 0.0009275458 0.00059574086 0.004471827 0.0024659145 0.00055803574 0.000656069 0.0011990226 0.0011688586 0.0008144305 0.0012065637 0.0011537765 0.0008747587 0.0012141047 0.00064098695 0.00287313 0.0013347612 0.000987874 0.0056708492 0.001975748 0.0005504947 0.0028655888 0.00053541263 0.000995415 0.0007013152 0.0007541023 0.0020436172 0.001312138 0.001297056 0.00041475627 0.0005127896 0.0034311656 0.0021567326 0.00095770997 0.0034236244 0.0024282094 0.010919401 0.0025639478 0.0014177123 0.0013498431 0.0013423021 0.00096525095 0.00096525095 0.0022019788 0.0022019788 0.0010482023 0.0010557432 0.0057010134 0.001606238 0.0017570584 0.005851834 0.0021265685 0.0075938106 0.003921332 0.0025036198 0.0010708253 0.004622647 0.0023603402 0.0037101833 0.0010406612 0.003287886 0.0030013272 0.0018626327 0.002217061 0.00545216 0.0012668918 0.0031069017 0.007450531 0.008596767 0.0035065757 0.0014026304 0.0046980577 0.0044190395 0.0030842784 0.0008068895 0.004592483 0.0017344353 0.0043059243 0.0045246137 0.0023452581 0.0002262307 0.0063721645 0.00398166 0.011311535 0.006824626 0.0033708373 0.0018927968 0.0019305019 0.001945584 0.00031672296 0.00066361006 0.0014931225 0.0014101714 0.0008521356 0.0010934484 0.0031898527 0.0020964046 0.00082951254 0.0066436413 0.002616735 0.005210847 0.00030918195 0.0005203306 0.001613779 0.010006938 0.0015383688 0.0364156 0.0005278716 0.008287584 0.00033180503 0.00053541263 0.002277389 0.0004298383 0.00046754343 0.00030918195 0.0007013152 0.00062590494 0.00043737935 0.00033180503 0.00037705115 0.00031672296 0.00024885376 0.0005806588 0.0007163972 0.00047508447 0.0002262307 0.00027901787 0.00069377414 0.0017268943 0.0004222973 0.0008445946 0.0011311534 0.0005655767 0.0001960666 0.00021114865 0.00070885615 0.00035442808 0.00041475627 0.00033180503 0.0012216457 0.00024131274 0.00030918195 0.00028655888 0.0018626327 0.00046000243 0.00095770997 0.00044492036 0.000987874 0.00023377172 0.0004298383 0.0007918074 0.0024282094 0.0014327944 0.0020586993 0.00061082287 0.0006862331 0.00031672296 0.00055803574 0.00046754343 0.010203004 0.0012065637 0.0018173866 0.010308579 0.002616735 0.0007013152 0.0040495293 0.0022623069 0.0011085304 0.0013573841 0.00050524855 0.0007390203 0.0007691844 0.00046000243 0.0005881998 0.0004524614 0.0014629585 0.0008144305 0.0019832891 0.0013950893 0.000980333 0.00035442808 0.0012141047 0.000972792 0.0030993605 0.00079934846 0.00088229973 0.0019003379 0.0010331202 0.0005504947 0.00055803574 0.00053541263 0.0012216457 0.00047508447 0.00086721766 0.00059574086 0.0010783663 0.0011386945 0.00059574086 0.0005203306 0.019289937 0.0034462477 0.00064098695 0.0053616674 0.0035593628 0.0007691844 0.00069377414 0.00043737935 0.003868545 0.0005881998 0.0015232867 0.00096525095 0.002571489 0.0005655767 0.0011613176 0.0010482023 0.004584942 0.0014101714 0.0013498431 0.0016967303 0.006221344 0.0013875483 0.004019365 0.053857986 0.1873703 6.866455e-05 0.0 0.0 1.9073486e-05 3.8146973e-06 7.6293945e-06 0.0 0.0 2.2888184e-05 7.6293945e-06 0.0 0.0 0.0 0.0 0.0 0.007507324 1.1444092e-05 0.00017547607 1.1444092e-05 3.8146973e-06 7.6293945e-06 7.6293945e-06 7.6293945e-06 1.1444092e-05 7.6293945e-06 7.6293945e-06 1.5258789e-05 1.1444092e-05 7.6293945e-06 7.6293945e-06 1.1444092e-05 0.007045746 1.9073486e-05 0.0004196167 2.2888184e-05 2.670288e-05 2.2888184e-05 3.4332275e-05 2.670288e-05 2.2888184e-05 2.670288e-05 2.2888184e-05 2.2888184e-05 2.670288e-05 3.0517578e-05 1.9073486e-05 2.2888184e-05 0.013572693 9.536743e-05 0.00061416626 6.866455e-05 0.00016021729 0.00015258789 0.00034332275 0.0002822876 4.5776367e-05 4.196167e-05 3.4332275e-05 4.9591064e-05 4.9591064e-05 3.8146973e-05 3.8146973e-05 3.8146973e-05 0.012180328 3.4332275e-05 0.0002784729 0.0 0.0004043579 0.00018692017 0.0016517639 0.00088882446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.028182983 0.0019073486 0.0021972656 0.0002746582 0.0010528564 0.00051116943 0.007762909 0.0040626526 0.00019073486 4.196167e-05 6.484985e-05 8.392334e-05 9.1552734e-05 8.773804e-05 0.00016403198 0.00019836426 0.009220123 4.196167e-05 0.0001449585 0.00010681152 0.0036201477 0.001461029 0.011390686 0.0051193237 9.536743e-05 0.0 3.8146973e-06 1.9073486e-05 1.1444092e-05 7.6293945e-06 3.8146973e-06 3.8146973e-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 0.007461548 0.0028152466 0.0004234314 0.0002708435 0.00030899048 0.00034332275 0.0010566711 0.00033187866 0.00077438354 7.6293945e-05 0.00011062622 0.0001449585 0.00049209595 0.0001373291 0.0002975464 0.000579834 0.008140564 0.004173279 0.00022506714 0.0014839172 0.0012626648 0.00061035156 0.0032997131 0.0016441345 0.0004119873 0.00017547607 0.00048828125 0.00064468384 0.00021743774 0.00024032593 0.00019836426 0.00022125244 0.009670258 0.006717682 0.0005912781 0.001701355 0.0011024475 0.00090789795 0.0022697449 0.0018844604 0.0012283325 0.00033569336 0.0005683899 0.00075531006 0.0007171631 0.0005226135 0.000541687 0.0017356873 0.019313812 0.010883331 0.002319336 0.0027160645 0.004562378 0.0075149536 0.005748749 0.0054359436 0.013710022 0.0014801025 0.0011978149 0.0021362305 0.0058631897 0.002105713 0.0070648193 0.01732254 0.07395935 0.039405823 0.0147743225 0.0173378 0.023643494 0.03886795 0.02311325 0.023704529 0.06340027 0.0059013367 0.006591797 0.010112762 0.030796051 0.014537811 0.03173065 0.0664978 0.003692627 0.0017776489 0.0014572144 0.0010070801 0.001750946 0.0015144348 0.0019378662 0.0016059875 0.0017204285 0.00078582764 0.0006637573 0.00089263916 0.0013122559 0.0010375977 0.0010910034 0.0011901855 701.0 12.353781 8660.0 0.016050808 0.00011547344 0.0012702078 0.00011547344 0.0043879906 0.00069284067 0.00011547344 0.00023094688 0.001039261 0.0011547344 0.0026558891 0.00046189377 0.0011547344 0.0016166281 0.009468822 0.003117783 0.0015011547 0.0013856813 0.0034642033 0.0043879906 0.00069284067 0.00034642033 0.0005773672 0.00034642033 0.00046189377 0.0005773672 0.0025404156 0.0015011547 0.00092378753 0.0015011547 0.0 0.00023094688 0.0038106237 0.019976905 0.0033487298 0.015588915 0.006235566 0.021247113 0.015704388 0.010508083 0.0032332563 0.009930716 0.001039261 0.002078522 0.011431871 0.006812933 0.006235566 0.0063510393 0.0091224015 0.0042725173 0.009468822 0.020900693 0.012702079 0.004734411 0.012009238 0.008314088 0.0013856813 0.0064665126 0.003926097 0.0055427253 0.0042725173 0.004734411 0.0055427253 0.0046189376 0.0005773672 0.05 0.003117783 0.023787528 0.024249423 0.10242494 0.0075057736 0.012124712 0.008429561 0.048152424 0.0017321017 0.003926097 0.047228638 0.01709007 0.04526559 0.046420325 0.011778291 0.00011547344 0.06882217 0.03048499 0.06674365 0.018360278 0.0054272516 0.0061200922 0.009815242 0.012702079 0.0008083141 0.00023094688 0.00011547344 0.0 0.00023094688 0.0005773672 5.3633237 7.0 7.0 0.0 3.0 132608.0 143360.0 0.0 0.0 16.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 45056.0 1024.0 4096.0 4.0 0.0 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 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 0.0 0.0 0.0 0.0 83456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6319594 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.276972 0.0 0.0 0.0 0.0 0.0 6.591556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.714364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 139264.0 536.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 133544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.3767326 0.0024568087 0.0013269396 0.001734218 0.0018261841 0.0010641792 0.0013400775 0.0012481114 0.0012743875 0.0013532155 0.0011167312 0.0011955594 0.0012481114 0.0017867701 0.0009722131 0.0015896998 0.0011561454 0.0009722131 0.0012349734 0.0010641792 0.0011430073 0.0016948039 0.0012743875 0.0023779806 0.0011955594 0.00095907506 0.0014583196 0.0010116271 0.001813046 0.0014977336 0.0009722131 0.0013269396 0.002719569 0.0007488668 0.0011430073 0.0012612494 0.001773632 0.0013926296 0.000880247 0.0006963148 0.00089338503 0.0006831768 0.000919661 0.000906523 0.0007620049 0.0011167312 0.0013138015 0.000906523 0.0015240097 0.0014320436 0.00093279907 0.0013138015 0.0007882809 0.0009984891 0.0008145569 0.0006306247 0.0009984891 0.0010116271 0.0010773172 0.0010904552 0.0010247652 0.0010641792 0.0011430073 0.0009853512 0.0033370557 0.0012481114 0.0006306247 0.00094593706 0.0016028378 0.0014451817 0.0012612494 0.0108388625 0.0023254286 0.0022334624 0.0013138015 0.0014845957 0.0014977336 0.0018524601 0.0021020824 0.001760494 0.0031399855 0.0030348813 0.0023254286 0.0024436708 0.002667017 0.0020232543 0.0030480195 0.0038494384 0.004466925 0.0040465086 0.003586678 0.0022860146 0.0028509493 0.0020889444 0.0018524601 0.0029297774 0.0022466006 0.0021414964 0.0018787361 0.0023517048 0.0023911188 0.004480063 0.0018524601 0.0018261841 0.0020889444 0.0028640872 0.0010773172 0.0014189056 0.0018261841 0.0016028378 0.0024830848 0.001773632 0.0010641792 0.00067003875 0.0019707023 0.0016685278 0.011679695 0.0021940484 0.0015240097 0.0010379031 0.0014714577 0.0008145569 0.00089338503 0.00077514286 0.000906523 0.0013400775 0.000880247 0.0015502857 0.0015634238 0.0010247652 0.0014451817 0.0014583196 0.0011298693 0.0018261841 0.0013926296 0.0012218354 0.0013138015 0.0023254286 0.0013926296 0.0024830848 0.0022860146 0.0027327072 0.0018787361 0.0021940484 0.001813046 0.0017079419 0.0017867701 0.001773632 0.0016159759 0.0015896998 0.0018918741 0.0019050122 0.0015634238 0.0016159759 0.0016553899 0.0020495304 0.0021283585 0.0016553899 0.0017210799 0.0020495304 0.0019838403 0.0011430073 0.0017079419 0.0022203245 0.0019444262 0.0014057676 0.001760494 0.0014320436 0.0019969782 0.0016685278 0.0012875254 0.0012743875 0.0013926296 0.0013926296 0.0012218354 0.0011430073 0.0009722131 0.0012218354 0.000906523 0.0011561454 0.0010379031 0.00049924455 0.0009984891 0.00094593706 0.0007357288 0.00089338503 0.00072259083 0.0005386586 0.00084083294 0.0007094528 0.000880247 0.0013269396 0.0015896998 0.0016028378 0.0015240097 0.0016553899 0.0014057676 0.000919661 0.0010247652 0.000919661 0.0007882809 0.00077514286 0.0007620049 0.00084083294 0.0012349734 0.009249163 0.00042041647 0.00042041647 0.00049924455 0.00038100244 0.00049924455 0.00028903634 0.0003678644 0.00067003875 0.0005386586 0.0003415884 0.00055179663 0.0005123826 0.00044669252 0.0004335545 0.00031531235 0.00047296853 0.00042041647 0.00027589832 0.0010773172 0.00038100244 0.00022334626 0.0004598305 0.00060434866 0.00038100244 0.00060434866 0.00042041647 0.00089338503 0.00044669252 0.00028903634 0.0005780727 0.0005912107 0.00042041647 0.0003547264 0.00042041647 0.00089338503 0.00049924455 0.00030217433 0.0005255206 0.00044669252 0.00032845038 0.0005912107 0.00039414046 0.0011035933 0.0005123826 0.0004598305 0.00028903634 0.0011167312 0.0004335545 0.00084083294 0.25378704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040132706 9.364298e-05 4.682149e-05 0.00014046447 6.688784e-06 0.0 2.0066353e-05 8.69542e-05 5.3510274e-05 6.688784e-06 0.0 0.0 8.026541e-05 6.688784e-06 6.0199058e-05 0.009083369 0.02619328 0.0007223887 0.0004682149 0.00039463828 0.00024079623 9.364298e-05 0.00048828125 0.00048828125 0.00029430652 2.6755137e-05 2.6755137e-05 0.00010033177 0.00014715326 2.0066353e-05 0.00024079623 0.024848834 0.052393246 0.0027959119 0.0021805437 0.0017123288 0.0012441139 0.00075583265 0.0004615261 0.0008962971 0.00016053082 0.0001739084 0.00015384203 0.00037457192 8.026541e-05 0.0001270869 0.00010033177 0.032280073 0.024353864 0.00170564 0.0008628532 0.00065550086 0.0005083476 0.00054179155 0.0004682149 0.0010635167 0.0002073523 0.000247485 0.00030768407 0.0006421233 0.000120398116 0.00028761773 0.00030768407 0.022514448 0.03587195 0.0017591503 0.0015250428 0.001023384 0.0012508027 0.0013912672 0.005464737 0.003103596 0.0011705372 0.0001739084 0.0004615261 0.0016655073 0.00039463828 0.00022072988 0.00033443922 0.026380565 0.043490477 0.0011036494 0.0007156999 0.00053510274 0.0012842466 0.00979238 0.0053242724 0.00070232234 0.00341128 0.015765464 0.004153735 0.0011504709 0.0011304045 0.0005953018 0.00048159246 0.033651274 0.090833694 0.0031370397 0.0023343856 0.0017190175 0.007344285 0.014039759 0.011063249 0.006668718 0.013839095 0.010541524 0.015925996 0.0015785531 0.0074044843 0.0016788848 0.0020735231 0.05639314 0.11310734 0.008688731 0.007631903 0.008220516 0.020715164 0.018447667 0.008126873 0.015578179 0.00654832 0.0015384203 0.003625321 0.008508134 0.014280554 0.0035116118 0.0033577697 0.059483357 0.0053844713 0.0004682149 0.00080265413 0.0006621896 0.0010835831 0.00065550086 0.0003812607 0.00036788313 0.00094980735 0.00010033177 0.00016721961 0.000120398116 0.0007156999 0.00022072988 0.0003879495 0.0012307363 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030835296 0.0005484803 0.00061536813 0.001056828 0.0014514662 0.0008896083 0.0006354345 0.00055516907 0.0012307363 0.00013377568 0.00030099528 0.00018728596 0.00096987374 0.00028761773 0.00060199056 0.0011504709 0.0 0.0 0.0 0.0 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 20.4375 1635.0 0.041590214 0.0012232416 0.012232416 0.0 0.0018348624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0048929662 0.011620795 0.0048929662 0.003058104 0.0036697248 0.0042813458 0.0036697248 0.0006116208 0.0 0.0006116208 0.0 0.0024464831 0.0024464831 0.003058104 0.0006116208 0.0097859325 0.006116208 0.0097859325 0.0006116208 0.0024464831 0.018960245 0.0006116208 0.006116208 0.031804282 0.0048929662 0.003058104 0.018348623 0.0 0.021406727 0.0 0.0012232416 0.0024464831 0.0018348624 0.01529052 0.0012232416 0.020183487 0.0012232416 0.0024464831 0.0048929662 0.005504587 0.0018348624 0.005504587 0.003058104 0.017125383 0.0018348624 0.0006116208 0.0012232416 0.0006116208 0.0006116208 0.0012232416 0.036085628 0.0006116208 0.028134556 0.011009174 0.033639144 0.026911315 0.10275229 0.011009174 0.0091743115 0.011620795 0.03853211 0.0018348624 0.0067278286 0.028746177 0.024464833 0.043425076 0.03914373 0.016513761 0.0024464831 0.0470948 0.03975535 0.05565749 0.021406727 0.0091743115 0.0048929662 0.010397553 0.012232416 0.0 0.0 0.0 0.0 0.0 0.0 5.344244 0.0 0.0 0.0 3.0 76115.0 86016.0 0.0 0.0 47.0 0.0 1.0 0.0 0.0 0.0 1407469200.0 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 -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 2560.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.891505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2117484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1253014 0.0 4.245775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1598.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2350.0 0.0 69440.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8636.0 69440.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8432.0 0.0 0.0 200.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.17574587 0.009450435 0.004661591 0.0050017964 0.009863355 0.0032401737 0.00266018 0.0020646043 0.010532512 0.002606509 0.0014179547 0.0017823984 0.0075217388 0.0013322541 0.0010422573 0.005940174 0.0058518765 0.003479962 0.001622251 0.00082324474 0.0035708565 0.0027000005 0.00093145255 0.00061288883 0.0029545052 0.0011227638 0.00055142684 0.0007834243 0.001942546 0.00052112865 0.0010621676 0.00063799304 0.0042504016 0.0005479642 0.0012396283 0.0006094262 0.010500482 0.0012517476 0.0004094582 0.00037829438 0.0014638348 0.0006111575 0.0006414557 0.0020239183 0.0011547934 0.0011824946 0.0008059315 0.00040859258 0.002426451 0.0005860533 0.00055142684 0.0058285035 0.0010318693 0.00067867915 0.00049602444 0.0004310998 0.0014231487 0.002214364 0.00066050026 0.003641841 0.0012932994 0.0011617187 0.0005479642 0.0013417765 0.004262521 0.0020100677 0.004871081 0.002462809 0.005302181 0.009050499 0.0039422256 0.0017252648 0.0021788718 0.0059142043 0.003070504 0.0032644123 0.005655371 0.0051091383 0.0016586088 0.00089422904 0.009079931 0.0028532227 0.0014499841 0.0031639955 0.0029449828 0.0024532867 0.005333345 0.0036756017 0.0012361656 0.0027926264 0.0005652774 0.001224912 0.0012751204 0.0021078875 0.0032843223 0.0022567813 0.0010439886 0.0018395322 0.00060163526 0.0013210005 0.0020767236 0.0037379295 0.0031259062 0.0007384099 0.0031051303 0.0018577111 0.0050797057 0.0007401412 0.0020949026 0.0008267074 0.0017806671 0.0018871436 0.0019719785 0.0007306189 0.0024671373 0.001980635 0.011657873 0.01061475 0.0017131455 0.0016153257 0.0013106125 0.001411895 0.0003938763 0.0005955756 0.0021762748 0.0031146526 0.0016084004 0.0011669126 0.003087817 0.0016213853 0.000968676 0.010967075 0.0021295291 0.006353095 0.00065357494 0.00080246886 0.0013738059 0.009277302 0.0009807952 0.02909404 0.000912408 0.008943156 0.00045187568 0.0004691889 0.001094197 0.0002891312 0.00051420333 0.0008370954 0.00079814054 0.0005193973 0.00031683236 0.0002674896 0.0011322862 0.0007557231 0.00031077274 0.00039733897 0.00066569424 0.00032808597 0.00035924983 0.00065530627 0.0008370954 0.0012335686 0.00059211295 0.0006648286 0.0005886503 0.000904617 0.00031077274 0.0002891312 0.0007886183 0.00043889074 0.0011807632 0.0003003848 0.0006362617 0.00051160634 0.00038781666 0.00034539922 0.0008249761 0.0003523245 0.00043802508 0.00040599558 0.000709843 0.00093751214 0.0012725234 0.0010561079 0.0025173456 0.00053671055 0.00044148773 0.00090634834 0.0008267074 0.00078948395 0.0007972749 0.0006648286 0.008074031 0.0029311322 0.0040383143 0.0046200394 0.0028826552 0.0006942611 0.0027389552 0.003426291 0.0026125684 0.0022334084 0.00091933325 0.0008803785 0.012694071 0.00063799304 0.0026480607 0.0014318053 0.0016586088 0.0010361976 0.0011651813 0.00094010914 0.0013253288 0.0006094262 0.0009574224 0.001237897 0.0020100677 0.0009305869 0.00096954167 0.001819622 0.0020767236 0.0017252648 0.0016638028 0.0018958002 0.0036167367 0.0022386024 0.002483585 0.002403944 0.0041274773 0.004205387 0.0035552748 0.0030912797 0.018107057 0.0058059962 0.0025736138 0.006042322 0.00591507 0.0020074707 0.0031492792 0.0042348197 0.007754602 0.006547869 0.006353961 0.006418885 0.006153993 0.0042980127 0.0064413925 0.0062587378 0.008348446 0.0063816616 0.0058207125 0.0060899337 0.010777495 0.007616096 0.008661816 0.12693551 0.014883263 3.4660603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0001663709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036852886 0.00016333809 6.238909e-05 3.9426435e-05 1.1697954e-05 2.989477e-05 2.5995453e-06 2.5995453e-06 1.9496589e-05 2.5995453e-06 2.5995453e-06 2.5995453e-06 3.0328029e-06 2.1662877e-06 2.9461513e-05 0.020785531 0.005130636 0.00026991946 5.502371e-05 7.8419616e-05 1.1697954e-05 4.5058783e-05 0.00020363105 7.75531e-05 3.6393634e-05 6.238909e-05 0.0001174128 6.6288405e-05 1.9063333e-05 4.1592724e-05 9.055083e-05 0.01765178 0.005056982 0.0003682689 0.00019236635 0.00013257681 1.1264696e-05 0.00011784605 0.00023222604 0.00043022473 0.000107881126 9.704969e-05 0.0002417577 0.0002959149 0.00012997726 0.00015120688 0.001979987 0.047242403 0.010626508 0.0012659786 0.00046791814 0.00042329263 4.2025982e-05 0.00036653588 0.00044018967 0.0003071796 0.0003336083 0.00028638323 6.195583e-05 6.8021436e-05 0.00036480284 0.00022832672 0.022199683 0.046812177 0.003288858 0.00010008249 8.05859e-05 4.8091588e-05 5.589022e-05 5.978954e-05 6.498863e-05 4.3759013e-05 0.0001520734 0.00019020007 8.968431e-05 2.7728483e-05 1.7330301e-05 4.072621e-05 0.008818524 0.011766409 0.0052879085 0.00016767067 0.00015943877 4.59253e-05 0.0003132452 5.2424162e-05 0.0002326593 0.00015250666 4.939136e-05 0.00011481325 5.459045e-05 9.358363e-05 6.412212e-05 0.003083494 0.0021545899 0.003945243 0.038772218 0.0010138226 0.0016832056 0.0006009282 0.0041185464 0.00075776747 0.0028521344 0.0018118831 0.00064728677 0.00093713606 0.0005931296 0.00043585707 0.00047744982 0.0037905702 0.004004166 0.009376126 0.010796778 0.0002785846 0.00053680607 0.00028205066 0.0013959558 0.00037216823 0.0009592322 0.0006251906 0.00031714453 0.00013690938 0.00012001234 0.00015900552 0.0002785846 0.00017720234 0.00028031762 0.0019175978 0.007763542 0.0006329893 0.00043239104 0.00034833906 0.0019305956 0.00096616434 0.0035427469 0.002016814 0.00026688664 0.00013127703 0.00015683923 0.00017070347 0.00023439233 0.000415494 0.0006524859 0.0016338142 0.015985036 0.0010606145 0.0013162364 0.0012616459 0.0054685767 0.001534165 0.0044049295 0.002790612 0.00049348036 0.00041246117 0.0005346398 0.00045492043 0.00055630266 0.0003635031 0.00045492043 0.0010623474 0.010253906 0.00087084767 0.0013955225 0.0008695479 0.0050916425 0.0010588814 0.0022039812 0.0027615835 0.0010350522 0.00039556413 0.0004952134 0.00045058783 0.0020059824 0.0006737155 0.000605694 0.00088817795 0.007553412 0.0010237875 0.0014388483 0.00074736925 0.0022178453 0.0013634615 0.0013898902 0.0013968223 0.0028417362 0.00026602013 0.00044018967 0.00045578694 0.0050002253 0.00045448716 0.0010337525 0.0016576434 0.042911127 0.007952009 0.0085247755 0.006932121 0.014795312 0.014209981 0.005150999 0.010449738 0.027977172 0.0024206098 0.0028880949 0.005050483 0.020977898 0.004037527 0.011207939 0.023919716 0.06246924 0.013821349 0.011047634 0.01240373 0.025538798 0.024603829 0.010109198 0.021629084 0.043617338 0.0037277478 0.0041103144 0.0055760248 0.023221739 0.008510478 0.020021698 0.042333595 0.00029548164 0.00016593764 7.8419616e-05 9.358363e-05 8.101916e-05 8.4051964e-05 6.282234e-05 5.632348e-05 9.704969e-05 6.585514e-05 0.000110913934 0.0001806684 0.00016247158 6.0656057e-05 9.4450144e-05 8.491848e-05 2734.0 12.795538 34983.0 0.021296058 0.0008861447 0.0012577538 0.0011719979 0.010948175 0.0007432181 0.0021438985 0.0017722894 0.0019438013 0.0061458424 0.00274419 0.0064316955 0.0028871165 0.0040876996 0.010405054 0.0028013606 0.00414487 0.0014006803 0.0024869223 0.0050024297 0.0027156046 0.00051453564 0.0013435096 0.0006574622 0.0019723866 0.0060029156 0.0026012636 0.0028871165 0.004001944 0.0033158963 0.00091473 0.009204471 0.02341137 0.021038791 0.0044021383 0.019409427 0.020895863 0.0073750108 0.010262127 0.022096448 0.005745648 0.012005831 0.0013435096 0.0012863391 0.0083469115 0.006060086 0.009118714 0.005459795 0.022039276 0.004745162 0.008632764 0.026441414 0.008175399 0.006746134 0.027670583 0.0214104 0.0073750108 0.0041734558 0.0058028186 0.0032587256 0.0026584342 0.003744676 0.004830918 0.016122116 0.0022582398 0.03538862 0.007146328 0.020324158 0.016979676 0.063030615 0.0065174513 0.011662807 0.0100620305 0.035817396 0.005859989 0.00274419 0.028699653 0.012291685 0.030357603 0.035960324 0.013435097 0.00040019437 0.035645884 0.02361147 0.0611154 0.016207872 0.0048023327 0.0083469115 0.0062601836 0.01958094 0.001000486 0.00037160906 0.0015721922 0.0013149244 0.0012863391 0.0010290713 5.832451 0.0 0.0 0.0 3.0 1155185.0 1171456.0 0.0 0.0 566.0 0.0 1.0 0.0 0.0 0.0 1156748900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 638976.0 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 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0765996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5278006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6523447 0.0 4.595855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166102.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638372.0 0.0 326212.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 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 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 -1.0 -2.0 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 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 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 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -2.0 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 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 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -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 1.0 -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 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 3.0 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 1.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 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 -2.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -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 1.0 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 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 -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 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 797324.0 326212.0 843776.0 0.0 0.0 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 731680.0 0.0 0.0 2312.0 643072.0 64.0 797148.0 0.0 0.0


Input: 0.13212825 0.02297611 0.012433122 0.009713048 0.011939908 0.0037913646 0.007228487 0.005836237 0.011735149 0.0020569405 0.0027074225 0.002494488 0.011035228 0.0016735024 0.002059276 0.016571721 0.022183541 0.0018222062 0.0011943022 0.0013338581 0.006246341 0.0013504024 0.0010041404 0.001179899 0.005110041 0.0007359284 0.0008768467 0.0010107581 0.003756135 0.0009961602 0.0007787489 0.0010960097 0.005017393 0.00069038296 0.00085018127 0.00087587355 0.022043206 0.0020536315 0.0006670264 0.00089825696 0.0043254527 0.00057418377 0.00089903554 0.0010339201 0.004295868 0.0007660974 0.0006212863 0.0005590019 0.004814969 0.0019168006 0.0023849064 0.0058045113 0.0035500128 0.0011693885 0.0011569316 0.0012454921 0.0031840922 0.001883712 0.0014599839 0.004399221 0.0030947533 0.0018628857 0.001191188 0.002685039 0.0074283807 0.004960753 0.003512642 0.003625922 0.010732176 0.013975048 0.005458444 0.005701158 0.0038236745 0.0028086344 0.0014233919 0.0013572148 0.0036093774 0.005460585 0.001816367 0.001641387 0.011552188 0.0032636994 0.001697443 0.00249332 0.0023399447 0.004331292 0.003698522 0.0029079001 0.0014971598 0.00070575945 0.0005253295 0.0018603554 0.0011845703 0.0050298497 0.0030458989 0.002436875 0.0023078294 0.0007460496 0.00035716177 0.00070906826 0.0017702377 0.0011526495 0.002856321 0.00049671764 0.0017534988 0.00066391216 0.00870521 0.00034820838 0.0011767847 0.00047160924 0.0006633282 0.0013918604 0.0024950719 0.00065982476 0.001571901 0.0026846498 0.011373315 0.00982516 0.00124666 0.0013319117 0.0017289744 0.00074721745 0.000521826 0.0005354507 0.0020008844 0.002425002 0.0014847029 0.0018887726 0.007049225 0.004420242 0.001517013 0.012696274 0.009511403 0.009643951 0.0019592317 0.0012826681 0.0038501455 0.021002863 0.00330107 0.06608797 0.0022161547 0.01328019 0.0008075554 0.000704397 0.00239639 0.0006337432 0.00044533305 0.0003840219 0.0012624257 0.0010547463 0.0005319472 0.00041613725 0.00092531176 0.00047530737 0.0003345837 0.00051910104 0.00083616725 0.0004577899 0.00037039717 0.0005192957 0.0012742986 0.0009171369 0.00040659995 0.0004027072 0.0012219409 0.00038188088 0.00040426428 0.00029195784 0.0019533925 0.00037526316 0.00032582495 0.00032621424 0.0008348048 0.0002968238 0.00034256387 0.0005043085 0.0016445012 0.0005403166 0.00041399623 0.0007020613 0.0010504643 0.0006061045 0.0023919132 0.0010909492 0.002578961 0.0010790762 0.0010411217 0.00047083068 0.0011730866 0.0006944704 0.0009831194 0.000844926 0.007953321 0.006110872 0.0048414394 0.0021412189 0.0023185345 0.000577298 0.0039854194 0.0094189495 0.00461235 0.0032010258 0.0010927009 0.0027191008 0.019802138 0.00053369894 0.002583827 0.002851455 0.0035071922 0.00097124645 0.0019788903 0.00073456595 0.0015537996 0.00039686804 0.0011181985 0.00043871533 0.0018132528 0.00071354496 0.00045954165 0.0012795539 0.0013474828 0.00042878874 0.0004093249 0.00050450314 0.005323754 0.001909015 0.0010533839 0.00061252754 0.0022613108 0.002001079 0.00063919305 0.00049301947 0.012549905 0.0018052727 0.0008861894 0.0045706974 0.005181668 0.0004239228 0.0005572502 0.00071471283 0.0038065463 0.0011055471 0.00077446684 0.002817004 0.0025824644 0.00047219315 0.004651278 0.0013038837 0.0052931956 0.0019078472 0.0011832078 0.0010491018 0.0040924703 0.0021729448 0.0057342467 0.04018566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009365538 5.4513057e-06 6.522098e-06 9.734475e-06 4.1858243e-06 3.8937897e-06 1.2460127e-05 5.4513057e-06 3.017687e-06 2.5309635e-06 1.4601712e-06 9.7344746e-08 4.867237e-07 1.5575159e-06 1.0707922e-06 2.3362738e-06 0.002199018 1.5964539e-05 1.148668e-05 3.056625e-05 2.0539741e-05 8.955717e-06 1.2168093e-05 1.0221199e-05 1.4601712e-05 9.63713e-06 9.83182e-06 1.0415888e-05 1.0610577e-05 7.884924e-06 9.053061e-06 1.1389336e-05 0.00086422666 1.3628264e-05 6.522098e-06 3.2221113e-05 3.8645863e-05 5.840685e-06 8.274304e-06 2.3362738e-06 3.6017557e-06 1.7522054e-06 2.2389293e-06 3.407066e-06 3.3097215e-06 3.9911347e-06 3.1150319e-06 3.6991005e-06 0.00067781145 1.41149885e-05 8.858372e-06 1.869019e-05 9.734474e-07 4.8672373e-06 4.3805135e-06 3.407066e-06 4.283169e-06 5.061927e-06 5.5486507e-06 4.6725477e-06 2.4336186e-06 3.338925e-05 3.1150319e-06 5.840685e-06 0.00078109425 1.4991091e-05 4.0495415e-05 1.1778714e-05 1.8982226e-05 6.132719e-06 3.1734387e-05 4.0884793e-06 4.964582e-05 3.017687e-06 7.1061663e-06 3.6991005e-06 6.911477e-06 3.1150319e-06 7.300856e-06 6.7167875e-06 0.0012684994 5.130068e-05 0.00011438008 2.1415844e-05 3.3583936e-05 7.2035114e-06 0.000120610144 4.7698926e-05 9.1504065e-05 1.3628264e-06 7.1061663e-06 3.407066e-06 1.168137e-05 7.7875796e-07 5.5486507e-06 8.1769585e-06 0.00404263 0.00020345052 0.00041829038 0.00015818521 0.0002269106 3.2318458e-05 0.0003909365 7.690235e-05 0.0004505115 1.5964539e-05 3.835383e-05 1.8300812e-05 3.5336143e-05 8.955717e-06 3.0079527e-05 3.3097214e-05 0.003796153 0.00021221155 0.000406609 0.0003706888 0.0018453643 0.0009526157 0.002323911 0.0011165442 0.00038129938 3.1929078e-05 7.0672286e-05 3.4946763e-05 9.247751e-05 2.1415844e-05 5.5291817e-05 5.022989e-05 0.0012139863 0.00013053931 6.6291774e-05 0.00011846855 0.00033515797 0.00017298161 0.00034168008 0.00016616748 0.00013238886 1.7814089e-05 1.9371604e-05 2.482291e-05 0.00014056581 1.5477815e-05 3.1831732e-05 6.2884705e-05 0.0020757795 0.0003252288 0.00015507019 0.00014280474 0.00019303463 0.00013102603 0.00012362783 0.00016353918 0.0004108922 4.370779e-05 3.738038e-05 7.320325e-05 0.00029865367 6.239798e-05 8.887576e-05 0.00026010515 0.0099263415 0.0036431272 0.0017264091 0.01027026 0.0019284968 0.0015028082 0.0012210925 0.0014658172 0.0052770586 0.0011935439 0.0011816679 0.0010336065 0.0026153612 0.0009811377 0.0015020295 0.0045711147 0.068819135 0.013535398 0.013156142 0.0075740055 0.017941512 0.009808262 0.00460684 0.008348578 0.040622644 0.002641255 0.0020713988 0.0036954987 0.017725991 0.0033540132 0.009417909 0.020501193 0.14717709 0.02836665 0.026257869 0.018624581 0.04964592 0.031947378 0.012965736 0.027277458 0.10452295 0.0052281916 0.004388788 0.009635281 0.04907869 0.010162597 0.025704756 0.048298374 0.008516497 0.0021827612 0.0018863465 0.0018465325 0.003264456 0.0022381505 0.0016278962 0.0021436287 0.0056070574 0.0006558116 0.0007162627 0.0010590135 0.00304105 0.0012863135 0.0021853896 0.0036088617 0.004052267 0.0019592578 0.0019090278 0.0025676624 0.0018397183 0.0017488957 0.001765347 0.0016886393 0.0017908514 0.0017084003 0.0016978871 0.0017054799 0.0016931172 0.0017097631 0.0019416383 0.0017212498 7915.0 13.825016 109425.0 0.015544894 0.0044139824 0.0025771076 0.0018460132 0.027644506 0.0018734293 0.0014896047 0.0026136623 0.008882796 0.0013799405 0.0015901303 0.0015261595 0.009440256 0.0019739547 0.002083619 0.0020744803 0.02312086 0.017390907 0.017473156 0.015170208 0.021960247 0.012556545 0.012894677 0.014192369 0.020872744 0.014576194 0.014228924 0.023011195 0.021914553 0.0134064425 0.013698881 0.020233037 0.03495545 0.013589216 0.0061503313 0.015864747 0.02401645 0.0077861547 0.0048435 0.009888051 0.014238062 0.010052548 0.0056385654 0.0019556773 0.014110121 0.003417866 0.0033264793 0.0066803745 0.020580307 0.00685401 0.0056568426 0.019501941 0.011651817 0.010454649 0.0068265935 0.006013251 0.010829335 0.0029883482 0.0060315286 0.0028147132 0.0071647246 0.002540553 0.0035366688 0.007923235 0.007996345 0.015416952 0.0019648161 0.011277131 0.017619373 0.03529358 0.005592872 0.003079735 0.016440485 0.012830706 0.008727439 0.0017911812 0.016157186 0.0067717615 0.0141649535 0.017052775 0.016422207 0.0016906557 0.022855837 0.013534384 0.036728352 0.014292895 0.0021293124 0.002823852 0.009230066 0.002595385 0.0015627142 0.00090472924 0.00726525 0.0008773132 0.0013251086 0.0020470642 6.1474614 4.0 20.0 0.0 8.0 5137728.0 9216000.0 1.0 464.0 71.0 1.0 1.0 1.0 1.0 0.0 1519226200.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 12.0 0.0 10.0 0.0 6.0 1.0 4521984.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -117760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4521984.0 0.0 55296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3776426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0580206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.642277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.443983 0.0 3.9309263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53.0 0.0 0.0 -117428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284054.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4222208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4521538.0 0.0 55112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 1.0 2.0 -4.0 -1.0 1.0 2.0 2.0 -6.0 4.0 2.0 1.0 1.0 0.0 2.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 -3.0 -3.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -2.0 1.0 -3.0 -2.0 3.0 3.0 0.0 1.0 2.0 -1.0 -1.0 -2.0 1.0 -2.0 1.0 -3.0 -3.0 1.0 0.0 2.0 2.0 0.0 1.0 -1.0 1.0 -2.0 2.0 0.0 -1.0 -1.0 -1.0 0.0 3.0 -2.0 -1.0 -3.0 -3.0 0.0 -1.0 1.0 0.0 -3.0 3.0 -3.0 0.0 1.0 -1.0 -1.0 -3.0 1.0 -1.0 -1.0 1.0 -5.0 0.0 -2.0 -1.0 0.0 3.0 -2.0 -2.0 0.0 -1.0 2.0 -2.0 1.0 -1.0 -1.0 3.0 2.0 0.0 1.0 2.0 2.0 -3.0 -2.0 1.0 3.0 2.0 0.0 0.0 3.0 -2.0 2.0 0.0 0.0 -1.0 1.0 -1.0 36339.0 4772128.0 40.0 4808468.0 55112.0 9039872.0 0.0 0.0 138048.0 4999680.0 117428.0 9097216.0 28.0 4526672.0 0.0 0.0 0.0 0.0 24.0 4769576.0 64.0 4769504.0 0.0 0.0 288.0 4526080.0 0.0 0.0 0.0 0.0