Input: 0.056685593 0.008300934 0.0061767646 0.0056651416 0.005756281 0.004961918 0.004206911 0.005424865 0.0050437367 0.0056206076 0.0037491429 0.0044772225 0.0049515613 0.0031681294 0.0043208357 0.004647073 0.0050323443 0.003770892 0.004931884 0.0041644485 0.004347763 0.0031743434 0.004103344 0.0038433895 0.0050685927 0.0033566223 0.0031670937 0.0029361383 0.004153056 0.0034405119 0.00379057 0.0037926412 0.0061684796 0.0038206046 0.0034860815 0.003026242 0.0048966706 0.004165484 0.0038496035 0.0037253224 0.0047257845 0.003901387 0.0033338373 0.0030966678 0.004370548 0.0037191084 0.0037294652 0.0035823993 0.00551704 0.003950064 0.0031018462 0.0029040324 0.0036776813 0.003070776 0.0026875762 0.0028646768 0.004172734 0.0033183023 0.0035212946 0.003357658 0.004004955 0.0032261272 0.0035119734 0.0034519043 0.006597249 0.0039417786 0.0036238264 0.0032209489 0.0041540917 0.0032188774 0.003542008 0.0030697403 0.0049950597 0.0037771063 0.0037087516 0.0035917205 0.0041230214 0.0031298094 0.0035596145 0.0034653682 0.0051711244 0.003631076 0.0036611105 0.00333798 0.003928315 0.0033742287 0.0033586936 0.0035357939 0.0046429303 0.0036403972 0.0038071407 0.003513009 0.0041137007 0.0033876924 0.0036890737 0.0037874628 0.0059095607 0.0036290046 0.0033369444 0.0029537447 0.004003919 0.003047991 0.0032696256 0.0030303847 0.004976418 0.0031670937 0.003201271 0.0030500623 0.0035751497 0.0028263568 0.0030811327 0.0031940213 0.0045000073 0.0032861964 0.0032323413 0.0031463802 0.0038920662 0.0033276232 0.0032924104 0.003624862 0.0046201455 0.003284125 0.0034798675 0.003166058 0.004042239 0.0032033424 0.0034757247 0.0033390156 0.008639599 0.004599432 0.00401324 0.0035212946 0.0043622623 0.0034342979 0.003020028 0.0033804427 0.004530042 0.0038340683 0.0029641015 0.0031929857 0.003733608 0.0027994292 0.0028501772 0.0029765295 0.005228087 0.0032023066 0.0034922955 0.0030283132 0.003660075 0.0031784861 0.0033017315 0.0032623757 0.0045445412 0.0028398205 0.0030376343 0.0027062185 0.0035181874 0.0032240557 0.0029858507 0.0031515586 0.0050178445 0.0034042632 0.003267554 0.0028025361 0.0037771063 0.0030086355 0.0030531695 0.003182629 0.00413545 0.00300035 0.0031153099 0.003009671 0.0036445397 0.0028336064 0.002917496 0.003035563 0.0046740007 0.003112203 0.0038423538 0.0028594984 0.0035596145 0.003150523 0.0029868863 0.0031225597 0.0042504095 0.0031432733 0.00333798 0.0031857358 0.003653861 0.003198164 0.0033369444 0.003344194 0.0067194584 0.0040691667 0.0037160013 0.0033359088 0.0041168076 0.0032540904 0.0033100168 0.0032271629 0.0043311925 0.0033296947 0.0031173814 0.0030790614 0.003643504 0.002987922 0.0030790614 0.0027921794 0.004242124 0.0032799824 0.003092525 0.0030086355 0.0037118588 0.0030272775 0.0029361383 0.0029475307 0.0039790627 0.0031039175 0.0027186465 0.0026357926 0.0035244015 0.0029454592 0.0035761853 0.0028905685 0.00495674 0.003233377 0.0034001207 0.0029713511 0.0038123191 0.003070776 0.003201271 0.002911282 0.0044482234 0.005460078 0.0034705463 0.0031318807 0.0037916056 0.0030904538 0.0032509833 0.003201271 0.0046128957 0.0033172665 0.00341462 0.0030397058 0.0037387863 0.0030956322 0.0033089812 0.0032437337 0.0043519055 0.0030303847 0.0031898785 0.0028646768 0.004017383 0.003098739 0.0042214105 0.004515542 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 0.099234216 0.062022097 0.062468346 0.055325743 0.06059254 0.059578095 0.05492308 0.05447216 0.06046852 0.053138595 0.052114293 0.052954387 0.05641594 0.050535813 0.056681618 0.0538142 4029.0 5.703152 22978.0 0.017190356 0.010444773 0.009400296 0.008660458 0.013404125 0.0124466885 0.011924449 0.011445731 0.012620768 0.009791975 0.008529898 0.0085734185 0.013882845 0.010531813 0.01183741 0.010009575 0.016711637 0.011924449 0.008791017 0.0075289407 0.009791975 0.008486378 0.00783358 0.008312299 0.010314214 0.008399338 0.009574375 0.008921578 0.0115327705 0.008965097 0.009661416 0.009226216 0.017973714 0.010879972 0.010357734 0.009095657 0.010879972 0.008791017 0.010618852 0.008312299 0.014187484 0.01161981 0.009704935 0.008965097 0.011445731 0.0093132565 0.01166333 0.009530855 0.014796762 0.009574375 0.010009575 0.009052137 0.01205501 0.009356776 0.009530855 0.009748455 0.013752284 0.009226216 0.010488293 0.009617896 0.011141092 0.009835495 0.010444773 0.010662373 0.017930195 0.011010532 0.009661416 0.008225259 0.013099486 0.008268779 0.009356776 0.008312299 0.0154060405 0.009269737 0.008878057 0.008703978 0.011358691 0.00800766 0.009922534 0.00783358 0.013230046 0.00796414 0.008660458 0.008965097 0.011489251 0.009487336 0.008268779 0.00796414 0.010879972 0.008834537 0.011967969 0.0085734185 0.011358691 0.009008617 0.010009575 0.008791017 6.55469 0.0 0.0 0.0 14.0 965554.0 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: 0.24151763 0.018094236 0.0077155856 0.006725774 0.0062954384 0.005804556 0.0051228395 0.0032095104 0.009375043 0.002468972 0.0029694343 0.0021790797 0.002767295 0.0023900324 0.001994951 0.006640512 0.006212475 0.0023959721 0.0015617408 0.0016579245 0.0019853709 0.0049674506 0.0012515385 0.0012626514 0.0037360303 0.0029408857 0.0014174652 0.0014504205 0.0044397814 0.0032432324 0.0018286412 0.0020560718 0.0097325705 0.0018196359 0.0042817104 0.0018696438 0.013764434 0.0026550167 0.0017019928 0.0018546989 0.00413686 0.0016418301 0.0019010664 0.0025092084 0.0010432681 0.0009148954 0.0010001579 0.00089381926 0.0066069816 0.0013312446 0.0026906547 0.003936828 0.0028583056 0.0016385728 0.001492956 0.0013230058 0.0036335238 0.0016619482 0.0011570792 0.0024063184 0.0013438903 0.0010854204 0.0011064966 0.0017849561 0.0146065205 0.0056275167 0.0021647096 0.003280786 0.0057357713 0.0036375474 0.0017069745 0.0012342945 0.057139095 0.005399128 0.00092505023 0.0012517301 0.008256475 0.003006988 0.0011120529 0.0011561211 0.0065590814 0.0008336565 0.0014094178 0.001689922 0.0021754391 0.0022131847 0.0016448956 0.0022915495 0.0025935129 0.00068401603 0.0007328743 0.0013787617 0.0028669278 0.0018859298 0.0011105201 0.0023158828 0.002947975 0.001609641 0.0018794155 0.0013214729 0.0017935782 0.00246514 0.0023829432 0.0010244913 0.0024467465 0.0016088746 0.0006343913 0.00073958037 0.0016996936 0.0010371369 0.001385851 0.0018487592 0.003994309 0.0006085252 0.002321631 0.001649494 0.006286816 0.0031610355 0.0008200528 0.0010829295 0.0022292791 0.0011635936 0.00072827586 0.0009913442 0.0013277958 0.0011063049 0.00081373 0.0012454073 0.0034930801 0.0016571581 0.00081143074 0.010438237 0.0021346281 0.0070767878 0.001223948 0.00090723136 0.002086153 0.010956136 0.0046545663 0.027214833 0.001312851 0.01762462 0.00072252785 0.00077790057 0.006694735 0.00061063276 0.00076851214 0.0015146069 0.0009206434 0.0009168114 0.0006184884 0.0007110318 0.0015517775 0.0005824674 0.0006068008 0.00058553304 0.0010796724 0.00089611846 0.00063918135 0.0007303835 0.0023041952 0.0009051237 0.0009191106 0.0009062733 0.0010455673 0.00087523396 0.0008834728 0.0008871132 0.0022290875 0.0019468591 0.0017962606 0.0011342787 0.00096183765 0.0008880712 0.0008968849 0.00093980355 0.0020068302 0.0005617745 0.0006456958 0.00057327055 0.000822352 0.0006022023 0.001141368 0.0007629557 0.002627043 0.0010110792 0.0016780427 0.0007336407 0.0007740685 0.000687848 0.0007694701 0.0008003179 0.005874107 0.0052630915 0.0015303182 0.005149472 0.0033748623 0.00075510005 0.0014383496 0.0056943856 0.0025816336 0.0016558169 0.0011986566 0.0024910062 0.03339014 0.00076046487 0.0012120687 0.0015036856 0.0029010326 0.00095896365 0.0013375675 0.0009570476 0.00073823915 0.0008054911 0.0011990399 0.0013787617 0.0023821767 0.0015973786 0.0014942972 0.0017983682 0.0012275884 0.0015651896 0.0011124362 0.0011298718 0.0032143006 0.0011166513 0.0010792891 0.0010359873 0.001005331 0.00079878507 0.00078767224 0.0010047563 0.008415504 0.005117666 0.0016050426 0.0016445125 0.003065618 0.00082369323 0.000782499 0.0009440188 0.0038883532 0.0010206592 0.0011329375 0.0013247302 0.0008357641 0.00077081134 0.0013864258 0.001297906 0.0037023085 0.0012592026 0.0012488562 0.0010237248 0.001043843 0.0010235332 0.0023804524 0.039085865 0.0026985325 5.3667814e-06 0.0 1.4375306e-06 1.06377265e-05 1.0062715e-05 7.091818e-06 1.3033611e-05 0.0 0.0 0.0 6.7084767e-07 7.66683e-07 1.9167075e-07 0.0 0.0 0.008514494 2.1754631e-05 0.0 9.5835375e-08 7.8872516e-05 3.6225774e-05 3.7184127e-05 0.00013551122 1.9167075e-07 0.0 0.0 5.750123e-07 7.091818e-06 0.0 1.9167075e-07 0.0 0.0005412782 1.2554435e-05 1.5046155e-05 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 1.533366e-06 0.00052000274 4.887604e-06 0.00018496228 5.654287e-06 6.133464e-06 3.4500736e-06 4.6959335e-06 4.887604e-06 3.8046644e-05 2.6833907e-06 1.533366e-06 1.6292014e-06 2.1083783e-06 1.533366e-06 1.1500246e-06 1.7250368e-06 0.0008296469 9.104361e-06 0.00032631945 0.00031587342 0.00015132406 1.3129446e-05 3.4692406e-05 4.4467615e-05 6.133464e-06 2.3958844e-06 7.954336e-06 2.5875552e-06 2.9708967e-06 3.833415e-06 2.3958844e-06 1.3608624e-05 0.009942921 0.00024303852 0.00031299834 0.0018216389 0.0010586934 7.417658e-05 0.00015094072 0.00015592416 9.411034e-05 0.00019004155 7.34099e-05 7.63808e-05 7.609329e-05 8.031005e-05 6.171798e-05 0.00030791908 0.038997713 0.0012292804 0.0019621335 0.002685978 0.0014335056 0.00043566764 0.0006018462 0.0006366344 0.00045895562 0.0011472453 0.00038746244 0.00041372134 0.00041544635 0.00060155866 0.0003800831 0.0010096257 0.013041182 0.00037969978 0.00081345066 0.00071962783 0.00066001824 0.00033954476 0.00087737286 0.00066203077 0.00088293134 0.0001124149 0.00011327742 0.00012928192 0.00012496933 0.00021055032 0.00012679021 0.0006302135 0.014065375 0.001149737 0.0012500767 0.0008678852 0.0016652355 0.00051645684 0.00095442455 0.0007388908 0.00039206253 0.0002592347 0.0005742456 0.00022990907 0.00022597982 0.00033159042 0.00024035513 0.0010723979 0.060083415 0.007972641 0.007135902 0.0037861683 0.0067386646 0.0031002744 0.004285758 0.002915983 0.0014271805 0.0012438474 0.0029604507 0.0013135197 0.001454781 0.0011994756 0.0013952673 0.0054498706 0.044942766 0.006422408 0.0056262077 0.004113734 0.0056039738 0.003728092 0.0060900506 0.0045190216 0.0016136761 0.0011723542 0.0011285574 0.0011976548 0.0018528812 0.0017326078 0.0018881486 0.008858543 0.008383583 0.0014607229 0.0014205679 0.0016429059 0.0027614965 0.00088178134 0.001076998 0.0010000422 0.0017500499 0.0006928898 0.005377323 0.0007152194 0.0034204605 0.0010078049 0.0010720146 0.0022723526 0.049464855 0.0055768522 0.0061661443 0.005147989 0.027603464 0.005342439 0.0027587172 0.004056328 0.028130941 0.0038406986 0.0016940819 0.0026393062 0.020910991 0.0054142196 0.008586754 0.012852674 0.063694015 0.012990965 0.020842949 0.010284478 0.059674677 0.013201994 0.005567269 0.009759875 0.05080128 0.0064039114 0.0031691801 0.0051969606 0.03939227 0.0076735388 0.013819366 0.02374906 0.004324092 0.0010958775 0.0018322766 0.000895965 0.0047576516 0.001157308 0.0007511577 0.0010265886 0.003583668 0.0006812937 0.0003817123 0.0005382115 0.0022578815 0.00059398764 0.0010943442 0.0021133618 0.005235966 0.0038291025 0.003824694 0.003751955 0.0040578614 0.0035385296 0.0036035061 0.0038459694 0.0039269505 0.0036760534 0.0036458652 0.0037325963 0.003743234 0.003729913 0.0037736138 0.0041057793 10076.0 17.818678 179541.0 0.046061903 0.0008466033 0.0015873811 0.0053191194 0.025253285 0.0012476259 0.004444667 0.002439554 0.002907414 0.0012587655 0.000969138 0.0036036337 0.0021276476 0.001637509 0.007769813 0.0020441012 0.020335188 0.0072741047 0.010532414 0.010944575 0.0055864677 0.0060543274 0.00575913 0.0059150835 0.0077976617 0.008967311 0.0025453796 0.007931336 0.0020830897 0.0013200328 0.0018380203 0.014793279 0.07094758 0.050322767 0.008048301 0.021699779 0.022084093 0.013618059 0.018335644 0.0035757849 0.021644082 0.009657961 0.0017489041 0.003113495 0.015946219 0.005463933 0.0041606096 0.0022780313 0.020563548 0.0014982651 0.0035367967 0.010465576 0.009073136 0.010677227 0.024161613 0.014046931 0.003297297 0.0011585098 0.001982834 0.0023671472 0.0051353173 0.005558619 0.009407322 0.024601623 0.002439554 0.022067383 0.0060710367 0.011780039 0.011813458 0.03319576 0.010159239 0.008605277 0.007753104 0.021276478 0.001130661 0.0019104271 0.0124484105 0.009657961 0.016725985 0.026138876 0.01684295 0.0007741964 0.029542 0.017633855 0.037211556 0.008789079 0.0022446127 0.004583911 0.0071292906 0.011312179 0.0014369977 0.00075191737 0.0017099158 0.00066280126 0.001292184 0.0055363397 5.8919663 5.0 27.0 0.0 8.0 5219176.0 5234688.0 1.0 0.0 590.0 1.0 1.0 0.0 1.0 0.0 1541434100.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 2846208.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -52224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1575424.0 0.0 0.0 0.0 0.0 154112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2846208.0 0.0 498176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.44647 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.65002 0.0 0.0 0.0 0.0 6.4358573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9102454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1175957 0.0 7.03118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1575232.0 0.0 0.0 0.0 0.0 153804.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -97312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2846112.0 0.0 499712.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -3.0 -1.0 0.0 2.0 1.0 0.0 2.0 0.0 1.0 -2.0 -1.0 0.0 -3.0 0.0 -1.0 -2.0 1.0 -1.0 3.0 -1.0 -2.0 1.0 2.0 -1.0 -1.0 1.0 -3.0 0.0 1.0 1.0 1.0 4.0 0.0 0.0 0.0 -3.0 -2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 2.0 1.0 1.0 2.0 0.0 2.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 1.0 -2.0 2.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 2.0 -1.0 1.0 -3.0 -1.0 0.0 -2.0 2.0 -1.0 1.0 -1.0 -1.0 -3.0 -1.0 -2.0 -1.0 -1.0 -4.0 0.0 -5.0 1.0 -1.0 0.0 0.0 2.0 1.0 0.0 -1.0 -1.0 0.0 2.0 1.0 1.0 1.0 0.0 1.0 0.0 -2.0 -2.0 1.0 1.0 1.0 0.0 1.0 -1.0 3.0 0.0 0.0 -2.0 -3.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 2.0 1.0 2.0 0.0 2.0 2.0 0.0 2.0 -1.0 -2.0 -1.0 0.0 -1.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 -1.0 -1.0 1.0 -3.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 -4.0 -1.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 2.0 -1.0 1.0 4.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 3.0 -2.0 0.0 -1.0 -1.0 0.0 2.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 1.0 2.0 0.0 1.0 1.0 -3.0 -4.0 -1.0 1.0 2.0 0.0 2.0 0.0 -2.0 0.0 -3.0 2.0 0.0 0.0 -2.0 -1.0 3.0 -2.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 3.0 -1.0 -1.0 2.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 2.0 -1.0 -1.0 0.0 1.0 1.0 1.0 2.0 -4.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 -3.0 -1.0 -1.0 2.0 -1.0 6.0 0.0 1.0 -1.0 1.0 -1.0 1.0 -1.0 1.0 2.0 -1.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 2.0 1.0 2.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 -2.0 -1.0 0.0 -3.0 1.0 1.0 0.0 -2.0 2.0 -1.0 1.0 2.0 -2.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 -4.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 2.0 -2.0 -2.0 3.0 -3.0 1.0 2.0 1.0 0.0 2.0 -1.0 0.0 0.0 1.0 1.0 1.0 2.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 2.0 2.0 -3.0 1.0 0.0 -2.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -2.0 0.0 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 1.0 2.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 -3.0 -2.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 3.0 0.0 -4.0 1.0 -1.0 -1.0 1.0 0.0 -2.0 -2.0 3.0 0.0 -3.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 4.0 1.0 3.0 -2.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 2.0 -1.0 -3.0 1.0 1.0 1.0 0.0 0.0 -2.0 1.0 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 2.0 -1.0 2.0 2.0 2.0 2.0 -1.0 1.0 0.0 0.0 2.0 1.0 1.0 0.0 2.0 1.0 0.0 -3.0 0.0 0.0 -2.0 -1.0 1.0 1.0 -1.0 0.0 -2.0 -3.0 0.0 2.0 1.0 0.0 -1.0 -3.0 1.0 -2.0 -3.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 2.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 -2.0 -1.0 0.0 -3.0 1.0 0.0 0.0 4.0 0.0 0.0 -3.0 -2.0 -1.0 -2.0 2.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -2.0 -2.0 1.0 0.0 0.0 -2.0 -1.0 2.0 2.0 -2.0 0.0 -2.0 -3.0 -1.0 1.0 0.0 0.0 0.0 -4.0 1.0 1.0 0.0 -1.0 -1.0 -3.0 -3.0 1.0 -1.0 0.0 1.0 0.0 -3.0 1.0 1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 1.0 1.0 2.0 -1.0 -1.0 2.0 1.0 0.0 -1.0 -1.0 2.0 -1.0 -1.0 1.0 -2.0 -1.0 1.0 1.0 0.0 -4.0 0.0 -2.0 0.0 3.0 1.0 1.0 -1.0 -2.0 1.0 0.0 2.0 1.0 -1.0 2.0 2.0 2.0 1.0 0.0 -1.0 -1.0 3.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 2.0 0.0 1.0 0.0 0.0 2.0 -2.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 3.0 0.0 1.0 1.0 -2.0 -1.0 -1.0 -2.0 -3.0 0.0 -3.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 -3.0 -1.0 1.0 3.0 -1.0 -1.0 1.0 1.0 2.0 -1.0 -2.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 2.0 -1.0 -1.0 -1.0 -2.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 -2.0 0.0 2.0 1.0 0.0 -2.0 0.0 0.0 2.0 -2.0 1.0 0.0 -1.0 3.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 2.0 -2.0 -2.0 0.0 -1.0 2.0 0.0 3.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 1.0 -1.0 -2.0 2.0 -2.0 -3.0 2.0 0.0 -3.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 2.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -2.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 3.0 -3.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -4.0 0.0 0.0 1.0 -3.0 0.0 -1.0 2.0 -1.0 2.0 2.0 1.0 1.0 -2.0 0.0 1.0 -1.0 -1.0 1.0 0.0 2.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -2.0 1.0 3.0 2.0 2.0 -4.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 2.0 1.0 0.0 1.0 1.0 -1.0 -2.0 1.0 -1.0 -1.0 -4.0 0.0 4.0 3.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 3.0 -2.0 1.0 0.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 1.0 2.0 -2.0 2.0 1.0 1.0 -1.0 0.0 0.0 2.0 -1.0 -2.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 740.0 4381752.0 497992.0 4681728.0 153804.0 4526080.0 7528.0 5212160.0 52200.0 5181440.0 112.0 3437712.0 0.0 0.0 0.0 0.0 40.0 3438080.0 256.0 3437824.0 0.0 0.0 16952.0 2850816.0 0.0 0.0 0.0 0.0


Input: 0.39879262 0.011363637 0.006636186 0.005149148 0.008567116 0.0034179688 0.001953125 0.0015314276 0.0087224785 0.0016645952 0.0018865411 0.0011985085 0.0057262075 0.0031072444 0.0014426492 0.004683061 0.0071910513 0.0008433949 0.0008877841 0.0007768111 0.002574574 0.005570845 0.0008655895 0.0010875355 0.0020419033 0.00035511365 0.00035511365 0.00062144885 0.0019309304 0.0010209517 0.00055486505 0.00062144885 0.009099787 0.0008877841 0.00055486505 0.0008655895 0.013472124 0.0014870383 0.00035511365 0.00017755682 0.0008433949 0.00048828125 0.0009099787 0.001287287 0.0010875355 0.0011319247 0.0014870383 0.00015536221 0.0024636008 0.00046608664 0.0008655895 0.003972834 0.0012428977 0.0015314276 0.00053267047 0.00042169745 0.0016867898 0.0011319247 0.0007102273 0.0028852983 0.0009543679 0.0015758168 0.00039950284 0.00037730823 0.023881393 0.0029962712 0.00057705963 0.001731179 0.0073464136 0.0052379263 0.0032404119 0.002729936 0.0018865411 0.0015980114 0.0006436435 0.00037730823 0.0032626064 0.0034845525 0.0009543679 0.0009099787 0.008478338 0.0027077415 0.0023748225 0.0034401633 0.003284801 0.0021528765 0.0048828125 0.0034401633 0.0009987571 0.0027521306 0.00039950284 0.0020197087 0.0018865411 0.0021528765 0.0038396663 0.0030184658 0.0014426492 0.004239169 0.0007990057 0.0019309304 0.0035289417 0.0085893115 0.002175071 0.0018643466 0.007302024 0.004572088 0.008411754 0.00035511365 0.004305753 0.0015314276 0.0040838066 0.0045055044 0.0022416548 0.0007768111 0.005126953 0.0036399148 0.014359907 0.009787819 0.0012428977 0.0009987571 0.0012650923 0.0010209517 0.00035511365 0.00013316762 0.0017533735 0.0015980114 0.0006436435 0.00037730823 0.0078125 0.005748402 0.0008877841 0.0127618965 0.003928445 0.005859375 0.00026633524 0.00055486505 0.003795277 0.008322976 0.0038618608 0.020596592 0.0015536222 0.009965376 0.0008877841 0.0011541193 0.0055042612 0.00051047583 0.00055486505 0.00055486505 0.0013094816 0.0008655895 0.0007768111 8.877841e-05 0.0008877841 0.0005992543 0.000110973015 0.00022194603 0.0008655895 0.00019975142 0.0016202059 0.00037730823 0.0013760653 0.0017533735 0.00068803265 0.0020862927 0.0012207031 0.0010431464 0.000110973015 8.877841e-05 0.00075461646 0.00031072443 0.00022194603 0.00042169745 0.00046608664 4.4389206e-05 0.00048828125 0.00015536221 0.0007768111 0.00013316762 0.00013316762 0.00015536221 0.00048828125 0.00057705963 0.0023748225 0.00024414062 0.0014648438 0.00028852982 0.00035511365 0.00031072443 0.00055486505 0.00024414062 0.0005992543 0.0005992543 0.0068581323 0.0031072444 0.0015536222 0.004971591 0.0040616123 0.00015536221 0.0019753196 0.0032404119 0.0017089844 0.0017533735 0.00068803265 0.00028852982 0.0026633523 0.0007324219 0.00028852982 0.00037730823 0.0008877841 0.0012428977 0.0009099787 0.001842152 0.00042169745 0.0007102273 0.0006436435 0.0010875355 0.0015092329 0.00028852982 0.00048828125 0.00062144885 0.0008655895 2.2194603e-05 0.00015536221 0.00022194603 0.0014648438 0.00062144885 0.00026633524 0.00022194603 0.0007102273 0.000110973015 0.00046608664 0.00022194603 0.006525213 0.0020419033 0.00033291904 0.0041725854 0.002352628 0.00024414062 0.00033291904 0.00042169745 0.0019975142 0.00053267047 0.00075461646 0.0014648438 0.0011097301 0.00013316762 0.0019975142 0.002352628 0.0037730823 0.0014870383 0.0009099787 0.00082120026 0.0030628552 0.0011319247 0.0019309304 0.023859197 0.11627907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.061932232 0.000601835 0.0007948764 0.0002043968 0.0008062318 0.00042014898 0.0013626453 0.0008062318 0.00090843026 0.0003179506 0.00029523982 0.00012490916 0.00049963663 0.00013626454 0.00011355378 0.00044285975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.069585755 0.0010333394 0.001623819 0.0012377362 0.0019758358 0.0019304142 0.0046670604 0.0027593568 0.0031340844 0.00034066133 0.0003974382 0.00024981832 0.0009879179 0.00034066133 0.00057912426 0.0021802327 0.014909611 0.0005223474 0.0013399346 0.0003974382 0.0007267442 0.00028388444 0.002827489 0.0013285793 0.0005337028 9.084302e-05 5.677689e-05 0.0 0.00012490916 0.0 1.1355378e-05 0.0001021984 0.024221022 0.00090843026 0.00076081033 0.00034066133 0.0033157703 0.0021802327 0.007063045 0.0036223656 0.0015443314 0.00044285975 0.00023846293 0.00013626454 0.0006131904 0.00021575218 0.00024981832 0.00065861194 0.009833757 1.1355378e-05 0.001953125 0.00024981832 0.001771439 0.0008630087 0.0054165153 0.0030205306 0.0 0.0 2.2710756e-05 5.677689e-05 2.2710756e-05 2.2710756e-05 1.1355378e-05 0.0 0.0067450944 0.0003633721 0.0032362826 0.0006131904 0.0016011082 0.00073809957 0.006404433 0.003247638 0.00024981832 2.2710756e-05 1.1355378e-05 0.0 0.0 1.1355378e-05 0.0 1.1355378e-05 0.015079942 0.00029523982 0.0019985465 0.0011809593 0.0029637536 0.0014194222 0.011855015 0.0059275073 0.0036110103 0.00034066133 0.0002611737 0.00024981832 0.00029523982 0.00019304143 0.0002043968 0.0006359012 0.008278071 0.00093114097 0.00045421513 0.0007721657 0.0011241824 0.001771439 0.00057912426 0.0016011082 0.0024186955 0.00011355378 0.0003065952 0.00021575218 0.0011923147 0.0003974382 0.0008630087 0.0022370094 0.059888262 0.01036746 0.008596021 0.0066542514 0.019871911 0.017862009 0.009447674 0.0099359555 0.032851107 0.0059047965 0.003338481 0.0038835392 0.012615825 0.004655705 0.008720931 0.017964208 0.06918832 0.012718023 0.013898983 0.010015443 0.027945586 0.021393532 0.0109920055 0.013785428 0.04451308 0.0076762354 0.0065293424 0.0045194402 0.018588753 0.0062113917 0.010197129 0.024152888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 262.0 13.648855 3576.0 0.06236018 0.0030760625 0.0008389262 0.00027964206 0.00810962 0.0075503355 0.00027964206 0.0 0.0033557047 0.0019574943 0.0039149886 0.0005592841 0.0011185682 0.004753915 0.01230425 0.00027964206 0.013143177 0.0025167784 0.005592841 0.0019574943 0.0016778524 0.0011185682 0.0039149886 0.0008389262 0.0022371365 0.0008389262 0.0016778524 0.00027964206 0.0008389262 0.00027964206 0.00027964206 0.0013982103 0.0011185682 0.018456375 0.0022371365 0.01230425 0.009787472 0.0075503355 0.013143177 0.012024608 0.004474273 0.0069910516 0.0 0.0008389262 0.00810962 0.0072706933 0.005033557 0.0036353467 0.010346756 0.0025167784 0.009228188 0.017897092 0.010067114 0.0039149886 0.004753915 0.009228188 0.0005592841 0.0008389262 0.00027964206 0.00027964206 0.006152125 0.00027964206 0.00027964206 0.0011185682 0.0019574943 0.045861296 0.0075503355 0.020973155 0.026006712 0.09144295 0.011185682 0.014821029 0.014261745 0.044183444 0.0022371365 0.0025167784 0.04222595 0.013422819 0.045861296 0.052852347 0.01761745 0.00027964206 0.046979867 0.034955256 0.076342285 0.018456375 0.005313199 0.005592841 0.008389262 0.0069910516 0.0011185682 0.0 0.0005592841 0.0 0.0 0.0 5.3336663 1.0 0.0 0.0 1.0 45056.0 53248.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1034927740.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 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 5.3727446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6777732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5468554 0.0 3.24283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3486.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25162.0 0.0 1632.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 34200.0 1632.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.07240189 0.009456466 0.0077758697 0.0042784135 0.0066095623 0.0039809756 0.0060102916 0.0040923315 0.004980249 0.0040088147 0.0070256824 0.0034710825 0.003585369 0.0035326215 0.0037699854 0.0034432437 0.004171453 0.004079145 0.0047414196 0.0034285914 0.0035663212 0.0033524006 0.0035077129 0.0034872 0.0035106433 0.0034959912 0.0031003845 0.0032469055 0.0035443432 0.0031238277 0.003306979 0.0031824363 0.005859375 0.003314305 0.0037509378 0.0035062477 0.003774381 0.0034754782 0.0030959889 0.003054963 0.00467109 0.0028410424 0.0034491045 0.003223462 0.0038388504 0.0032703488 0.0057846494 0.00575388 0.004024932 0.0032820706 0.0034417785 0.0032600923 0.0030784062 0.0029802374 0.0031208973 0.0029274896 0.0032630228 0.0032952575 0.0033011183 0.0031370148 0.00355753 0.0033685178 0.0033992874 0.0031839015 0.004344348 0.0039311587 0.00362786 0.004190501 0.0048176106 0.0039179716 0.0032630228 0.0035399476 0.0036776771 0.0050329966 0.003069615 0.0029216288 0.0030447065 0.0035736472 0.003550204 0.0029186984 0.0037641246 0.0028923247 0.0035824387 0.0033304226 0.0036307904 0.0032058796 0.0032278576 0.0032893966 0.0032278576 0.003173645 0.0027677817 0.003047637 0.0028410424 0.0030915933 0.0029069767 0.00648795 0.0036190688 0.008521662 0.0042036874 0.00596487 0.005425673 0.013062348 0.0038974588 0.0060102916 0.004104053 0.0089128725 0.0027575253 0.004590503 0.007226416 0.0052161478 0.009326062 0.010193466 0.0062798904 0.003216136 0.0087267915 0.00924401 0.008890894 0.0048952666 0.0042447136 0.006981726 0.0036835382 0.0037157726 0.0028366467 0.0038447112 0.0029831678 0.0034578957 0.003160458 0.002991959 0.00449966 0.0038740153 0.0034915956 0.0029377462 0.0029553287 0.0027838992 0.0031502016 0.0029304202 0.0029934242 0.0031926928 0.0028893943 0.002811738 0.003446174 0.0030915933 0.0030945237 0.0031267582 0.0032659532 0.0029685155 0.0031648537 0.0029099071 0.0026945213 0.0030168674 0.0028483684 0.002811738 0.002748734 0.0030784062 0.0030945237 0.0030095414 0.0031121061 0.0028630204 0.0031648537 0.0029685155 0.0030871977 0.002804412 0.0030784062 0.0028293205 0.0028659508 0.0028425076 0.002754595 0.0029743763 0.0028791376 0.0026871953 0.002728221 0.0028703464 0.0028058772 0.00286009 0.0032513011 0.00296412 0.0030784062 0.0030461717 0.0028351815 0.0030051458 0.0026945213 0.0027267558 0.002635913 0.0028967203 0.0027458037 0.0028967203 0.0028630204 0.0029538635 0.0030989193 0.0031194321 0.002874742 0.0030945237 0.0033392138 0.0032278576 0.00275606 0.0029421418 0.0027516645 0.0026344478 0.0028556944 0.0031340844 0.0032000188 0.0030241935 0.0027033126 0.0027809688 0.0031194321 0.0028630204 0.0030520326 0.0032322535 0.0029113723 0.0029611895 0.002804412 0.0029304202 0.0025274872 0.0027018473 0.0029040463 0.00296412 0.00296412 0.0028586248 0.0028908595 0.003013937 0.002838112 0.0030417761 0.0029274896 0.0032337187 0.0033040487 0.002867416 0.0027501993 0.003333353 0.002804412 0.002915768 0.0028175989 0.0031692493 0.0026901257 0.0031765753 0.002852764 0.0027809688 0.0029875634 0.0031487364 0.002958259 0.003110641 0.003125293 0.0031003845 0.0029274896 0.0029773067 0.0027809688 0.0029978198 0.0028205293 0.0033421442 0.0031077105 0.0032337187 0.002838112 0.0029318854 0.003160458 0.0031912276 0.0033260267 0.0039135762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011425047 3.9649905e-05 4.9195252e-05 2.643327e-05 6.3880405e-05 1.3216635e-05 3.0838815e-05 2.5699013e-05 4.5523968e-05 1.174812e-05 4.405545e-06 8.076832e-06 2.349624e-05 5.139803e-06 4.405545e-06 9.545348e-06 0.017346099 0.00031205945 0.0032424813 0.000704153 0.0025317199 0.003694784 0.028705798 0.014928924 0.0003355557 3.6712874e-05 4.699248e-05 3.0104558e-05 0.0001468515 4.0384162e-05 3.4510103e-05 4.3321194e-05 0.014540502 0.0006189791 0.0031125175 0.00081796286 0.0009244302 0.0016990718 0.012290003 0.0075371535 0.00015052278 5.3600797e-05 7.856556e-05 1.9824953e-05 2.5699013e-05 9.32507e-05 6.534892e-05 7.78313e-05 0.026275406 0.003875411 0.0043915943 0.0017747005 0.0013334117 0.0009420524 0.005647909 0.0038937677 0.0013106497 0.00059841987 0.00053967925 0.00029884282 0.00040824717 0.0006689086 0.0003216048 0.00035097508 0.00878172 0.0017747005 0.0014780604 0.0011380991 0.0011527843 0.00074233435 0.0041507576 0.0021381578 0.0010844984 0.00031499646 0.00014097744 0.0001901727 0.00035391212 0.00016961349 0.00020999766 0.00023936795 0.0080827065 0.0013077126 0.0019083353 0.00079373235 0.0010228207 0.00077170465 0.003210908 0.0023532955 0.00058079767 0.00053967925 0.00027387805 0.00021366894 0.00034289827 0.00022248003 0.00035905192 0.0005727209 0.005539973 0.00097215694 0.0010323661 0.000926633 0.00080621475 0.00037373707 0.00038475095 0.000490484 0.0004802044 0.00039649906 0.00025699014 0.0003766741 0.00051104324 0.00039135927 0.00025625588 0.0003384927 0.0015213815 0.00030104557 0.00034510103 0.00027020677 0.00033775845 0.00030545113 0.0010683447 0.0006182448 0.0001519913 0.00018429864 0.00013069784 0.00014538299 0.00015786536 0.00013363487 0.00013363487 0.00020999766 0.0002092634 6.608318e-05 0.00014832002 0.00015713111 0.00011160714 5.8006342e-05 0.00019384398 0.00016447369 4.0384162e-05 4.185268e-05 4.185268e-05 4.5523968e-05 4.9195252e-05 4.185268e-05 5.286654e-05 8.1502585e-05 0.06377394 0.047664326 0.04696972 0.04606144 0.051237226 0.045971863 0.047341254 0.047034334 0.04719734 0.04564879 0.04486901 0.045337465 0.045700923 0.04480733 0.046333853 0.047960967 4910.0 14.710387 72228.0 0.00899928 0.0024228832 0.003931993 0.0031566706 0.0026028687 0.0021875172 0.0024782633 0.0022844325 0.0027413191 0.0025751786 0.002104447 0.0029213047 0.004181204 0.0034751066 0.019078474 0.020241458 0.005454948 0.0040981336 0.0030459103 0.003862768 0.0037658527 0.0028797695 0.0034474165 0.002672094 0.0028797695 0.0031428256 0.0036689374 0.002699784 0.003890458 0.0056072436 0.003585867 0.002367503 0.0031843607 0.0079193665 0.0052611176 0.012903583 0.009373097 0.0056210887 0.003281276 0.003848923 0.0037658527 0.011145262 0.0024228832 0.0034197264 0.004222739 0.0055657085 0.003641247 0.0031012904 0.0055795535 0.0022290524 0.005704159 0.00746248 0.008459323 0.005067287 0.0054826383 0.004568865 0.003281276 0.0022152073 0.002395193 0.0021736722 0.0021736722 0.0026582489 0.0022013623 0.026900925 0.0029074596 0.04463643 0.013277399 0.024048846 0.019853797 0.08030127 0.008099352 0.023675028 0.011020657 0.045827102 0.002339813 0.014551143 0.03401728 0.021224456 0.04977294 0.04337653 0.019687656 0.0032397409 0.043598052 0.039762974 0.047350056 0.017264772 0.013222019 0.02973916 0.0054826383 0.008805449 0.0025059534 0.0024228832 0.002104447 0.002118292 0.002118292 0.0019659966 5.7110896 0.0 16.0 0.0 6.0 682496.0 704512.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1524600700.0 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 -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 48.0 0.0 4.0 0.0 6.0 0.0 679936.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -679936.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7207026 0.0 4.2669697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -679536.0 0.0 1496.0 0.0 0.0 0.0 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 79.0 687640.0 1496.0 688128.0 0.0 0.0 0.0 0.0 12.0 696320.0 28.0 687328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.118157275 0.008343785 0.01114692 0.0073903617 0.010975205 0.0113962125 0.022747044 0.024284603 0.009983964 0.00942487 0.008400717 0.008961446 0.007191459 0.012238533 0.008969725 0.008579586 0.0076161455 0.008067612 0.01008781 0.0073718615 0.0071121436 0.008005671 0.009632461 0.007584051 0.010481016 0.0085417675 0.008075481 0.008110949 0.0068925945 0.0074878708 0.006461673 0.0064384714 0.0051622656 0.005577651 0.0069304123 0.0061375625 0.0048704534 0.004646918 0.00408302 0.0062645082 0.0055601727 0.005063223 0.0045915195 0.00413249 0.0045986744 0.004095183 0.0045670914 0.003693903 0.004203016 0.00371271 0.0049500754 0.004033039 0.0043529593 0.0037603404 0.0040735146 0.0037390804 0.0036465796 0.0037083148 0.0036653862 0.0052335067 0.0050890823 0.0046945484 0.0042633205 0.0034582047 0.004482154 0.004587329 0.0040827137 0.0045290687 0.0038032688 0.0044765323 0.0035354763 0.003579427 0.0040399893 0.0035580648 0.0030648971 0.0032065616 0.003032905 0.0029826174 0.003093925 0.0032270036 0.0030190044 0.0032788245 0.0024538802 0.002940302 0.002840953 0.0030408776 0.0027246368 0.0028323673 0.0047973725 0.003200531 0.0045133284 0.0026946892 0.0036102945 0.0028871524 0.002707159 0.003167619 0.0023323514 0.0029377467 0.0023402215 0.0023276496 0.00238591 0.0026619816 0.0029815952 0.0034354117 0.0029329427 0.0026613683 0.002834718 0.0027250457 0.0025776576 0.002651965 0.00265636 0.0022712292 0.0019879006 0.0025331958 0.0024015482 0.0020159064 0.002604539 0.002202339 0.0029522607 0.0024473385 0.0018760817 0.0031143671 0.0025427013 0.00230547 0.0024403883 0.0026269231 0.004044589 0.00631684 0.004122678 0.0020869428 0.0015594322 0.001708558 0.0015925486 0.0018484847 0.0019612233 0.0019346486 0.0022772597 0.0026182353 0.0014872713 0.0023889763 0.001677077 0.0017669204 0.0015246805 0.0018622832 0.0016938396 0.0015595345 0.0014395388 0.0015071002 0.002004663 0.0017245029 0.0019272894 0.0013547037 0.0032349762 0.0015567747 0.0030588666 0.0011573344 0.001230824 0.0011916773 0.0013249604 0.0014195055 0.001557899 0.0020644565 0.0015508465 0.0018631009 0.0011667379 0.0013755547 0.0013005319 0.0011759368 0.00130738 0.015132431 0.0018722999 0.016005415 0.001342234 0.0011606051 0.0012098708 0.0012024094 0.0011439448 0.0012288821 0.002109736 0.0011252402 0.0012003653 0.0015828386 0.0013622673 0.0012659846 0.0022260519 0.0009702884 0.0011646936 0.0014789923 0.0023270363 0.0010209851 0.0012354236 0.0010469466 0.001085889 0.0012203986 0.0015991923 0.0012442137 0.0009324704 0.001189633 0.000899354 0.0008326103 0.000813088 0.00086531776 0.0012313351 0.00097570557 0.00092030724 0.0007566676 0.0017165304 0.0010200652 0.00097570557 0.0030950494 0.0012707886 0.0056070876 0.0006838934 0.0011757324 0.0007599383 0.00075114815 0.0008569365 0.00096773315 0.00069288793 0.0009598629 0.0010869111 0.00088811084 0.0020543376 0.001168271 0.00206323 0.0020491248 0.0007083218 0.0007635157 0.0010109683 0.00078436674 0.00091908075 0.00084324024 0.0036103968 0.0010258912 0.0005955831 0.0005927212 0.0007214048 0.00073510106 0.00088075164 0.00072385784 0.0010193497 0.0013055403 0.0012841782 0.018078048 0.0017427986 0.0010209851 0.0007468553 0.0016465159 0.0010545102 0.0014935061 0.0013857759 0.0013379412 0.006210132 0.0019351597 0.0024342556 0.0055635455 0.035622094 2.6067564e-05 1.0018122e-05 1.175596e-05 5.7246416e-06 4.6512714e-06 8.586962e-06 4.022583e-05 1.0018122e-05 0.00062020356 0.013704128 1.6049442e-05 1.4873845e-05 0.00164885 2.3205243e-05 0.008424065 0.011615859 0.00020930721 0.00013222899 7.252916e-05 3.7619073e-05 3.3581156e-05 3.7312395e-05 0.00025438875 5.2288466e-05 0.0004495888 0.0053610243 3.9970266e-05 6.746899e-05 0.0026254638 0.00027769624 0.011288891 0.016585514 0.0006438688 0.00031710425 0.00017720832 8.515404e-05 9.80856e-05 8.632964e-05 0.00048700342 9.404768e-05 0.00026435577 0.0043687704 4.8506114e-05 0.0006097765 0.0008415734 0.00011418615 0.0028138147 0.0106401155 0.0007755356 0.00024319504 0.00015988106 0.000119553006 7.672042e-05 8.61763e-05 0.00020440036 5.4384094e-05 0.00024350171 0.003009628 5.484411e-05 0.00021380513 0.00037194835 0.00019039544 0.001246694 0.011246313 0.0019418291 0.00028449425 0.00033673158 0.00018630641 0.00010171461 0.00013008225 0.0015629805 0.0008879839 0.00042607688 0.001551889 6.368664e-05 0.00047499192 0.00071389345 0.00054813444 0.0008974398 0.008073227 0.0019122858 0.00040931188 0.00045383116 0.00026757587 0.00013989593 0.00028853214 0.001356229 0.0011250454 0.00025111754 0.0011150783 0.00012134195 0.00016662796 0.0008723945 0.00059163145 0.0012794062 0.0093286615 0.0026132988 0.00091527816 0.0012044748 0.00049027463 0.0005745087 0.0006187724 0.0013709494 0.0009938898 0.0006657962 0.00056612614 0.00041365647 0.00021692303 0.0008406534 0.0010167883 0.0015134009 0.015265319 0.0058886628 0.0024728407 0.002055453 0.0010647833 0.0009068957 0.0009894429 0.0023654525 0.00081080344 0.00087832357 0.00082399056 0.0008360532 0.00092238287 0.0009934809 0.0010224107 0.002795823 0.022283984 0.012522806 0.0061897174 0.0035295992 0.002885935 0.0024659403 0.0017685053 0.002437266 0.0011428838 0.00138889 0.0007084755 0.0014675527 0.0010955022 0.0015541379 0.0015796432 0.003973821 0.031149205 0.017839823 0.010482279 0.0071108225 0.0055805543 0.004260309 0.0033644536 0.0029156315 0.001991204 0.0020992567 0.0012063149 0.0019229173 0.00093188987 0.0014399518 0.0015977372 0.0026218346 0.029863257 0.019467767 0.011070588 0.008012812 0.008005093 0.0064818785 0.0052817483 0.0042692535 0.0027079599 0.002259291 0.0025340228 0.0023659125 0.0012756239 0.0018174204 0.0016858558 0.0030239907 0.025263252 0.017656533 0.010012858 0.009010739 0.008369885 0.0077256593 0.0055687474 0.0049540126 0.0027620883 0.0019750525 0.002154663 0.002597556 0.001493007 0.0011316901 0.002282803 0.0016159334 0.025092432 0.016908547 0.0110663455 0.010021803 0.009022137 0.007471117 0.0060888208 0.005159844 0.0039766836 0.0029291252 0.0026188702 0.0027372476 0.0017505136 0.0014049906 0.0016932671 0.001762014 0.016918922 0.012566201 0.010270876 0.009410646 0.008616404 0.007088486 0.006217114 0.005331328 0.004539283 0.0033888344 0.0029410345 0.0024285258 0.0018213049 0.0016065798 0.0013015381 0.0018577484 0.015284741 0.013073753 0.012319479 0.011559993 0.010930692 0.010061722 0.009009563 0.008498077 0.008141463 0.006563506 0.00576957 0.004693746 0.0037801545 0.0028549605 0.0022525953 0.0017630873 0.003953018 0.0039296597 0.0037818414 0.0034608524 0.0036153668 0.0032186285 0.0031675156 0.0032015056 0.0031280566 0.0029817715 0.002857465 0.0026716187 0.0024637426 0.0022771296 0.0018484459 0.0013864366 161841.0 12.589721 2037533.0 0.010957369 0.010885223 0.016315809 0.013659165 0.011105587 0.010882769 0.009036418 0.01566993 0.013995356 0.012041523 0.0123836035 0.010886204 0.011712694 0.010777249 0.011625333 0.009157152 0.011193438 0.009649905 0.0138378125 0.010923013 0.012405689 0.0099669555 0.010819457 0.010520075 0.011255769 0.011842753 0.009740701 0.017283646 0.01637225 0.014238788 0.014452281 0.010084745 0.013740636 0.014275597 0.013001507 0.01539018 0.010438604 0.013479536 0.009774075 0.010980926 0.012094528 0.010725716 0.0090403445 0.010542652 0.009407946 0.008855808 0.009538496 0.009763768 0.009405983 0.011077121 0.006811178 0.0093603395 0.0091493 0.009666592 0.008562806 0.00865851 0.017732227 0.010047445 0.016220596 0.008683049 0.011960543 0.0094987415 0.008429802 0.0106172515 0.0072298218 0.009969409 0.0072936243 0.006489711 0.0068970663 0.008394956 0.009098258 0.012236857 0.009064393 0.008410171 0.008923045 0.009066847 0.008718386 0.008432747 0.008303669 0.0066438187 0.0055581923 0.008247719 0.007681348 0.0061304527 0.007848707 0.0060960976 0.009445736 0.006353762 0.0049937842 0.010098487 0.007857542 0.0063110637 0.006787129 0.008069072 0.010982399 0.019755263 6.5327063 5.0 1.0 0.0 166.0 9783689.0 270336.0 0.0 0.0 135.0 0.0 1.0 0.0 1.0 0.0 1349154300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 86016.0 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 -3072.0 0.0 0.0 0.0 0.0 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 -82944.0 -4096.0 131584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 -6.042624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7305634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4825587 -5.042266 5.232329 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 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22352.0 0.0 0.0 -3484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82936.0 -3998.0 131096.0 0.0 0.0 0.0 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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3998.0 122880.0 131096.0 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 131072.0 0.0 0.0 0.0 0.0 588.0 123728.0 0.0 0.0 0.0 0.0


Input: 0.03538627 0.004065906 0.003876476 0.0039389683 0.00414988 0.0036987637 0.0034097368 0.003876476 0.004167456 0.0033999723 0.0035835435 0.0038198426 0.0037553974 0.0038198426 0.003571826 0.0044486714 0.0038569472 0.0036382242 0.003388255 0.0035190983 0.0037339155 0.003956544 0.0035972137 0.003692905 0.0035327685 0.0032964693 0.003593308 0.003745633 0.0037046224 0.0034976164 0.0038061722 0.004038566 0.0038569472 0.00333748 0.0033316214 0.0037846905 0.0037182926 0.003505428 0.003421454 0.0036460357 0.0034995694 0.003724151 0.0036323655 0.0038296068 0.0035522974 0.0037202453 0.0037143866 0.003915534 0.0032671762 0.003440983 0.0033628675 0.0039389683 0.0036499414 0.0037280568 0.0037124339 0.0036772818 0.0036870462 0.0035854962 0.0037182926 0.0039545917 0.003692905 0.0038139839 0.0040209894 0.0038296068 0.0051185107 0.00354058 0.0033335742 0.0036772818 0.0037065751 0.004063953 0.0038061722 0.0041108225 0.0035503444 0.0034761347 0.00364213 0.0036128366 0.0035659675 0.004013178 0.0036636116 0.0035972137 0.0038315598 0.0036011194 0.003741727 0.0038315598 0.003472229 0.0036675176 0.004058094 0.004097152 0.003454653 0.0037788318 0.0038803818 0.0038100781 0.0038920993 0.0036909522 0.0041557387 0.0040522357 0.0037104809 0.0035366742 0.0036030724 0.003591355 0.0035835435 0.0039252983 0.0036714233 0.003644083 0.0041225394 0.0036323655 0.0041733147 0.0035464386 0.003937016 0.0038061722 0.003896005 0.00393311 0.0038901463 0.003606978 0.0039506857 0.003505428 0.0045677973 0.0045482684 0.00355425 0.003862806 0.0038725703 0.003724151 0.0036636116 0.003978026 0.0040502828 0.0040854346 0.004013178 0.004214325 0.0038608531 0.0037143866 0.0034468416 0.004384226 0.0036167426 0.0041576917 0.0033667732 0.0036558001 0.003843277 0.00414988 0.0039213924 0.005044301 0.003624554 0.0043783677 0.0035815905 0.0039526387 0.0033941136 0.0036186953 0.003390208 0.0035503444 0.0035854962 0.0035659675 0.0035601088 0.0036343185 0.0034175483 0.003319904 0.003624554 0.0035874492 0.003827654 0.0036186953 0.0037339155 0.0039428743 0.0035796377 0.0038217953 0.0035581558 0.0038178896 0.0036128366 0.0035464386 0.0032554588 0.0037085281 0.0035190983 0.003626507 0.0035171453 0.0036772818 0.003575732 0.003812031 0.003606978 0.0037573501 0.0035620618 0.0037280568 0.00354058 0.0035894022 0.0036987637 0.0038198426 0.0038003137 0.0038198426 0.0037573501 0.0036675176 0.003673376 0.0037085281 0.0038139839 0.0039409213 0.0038803818 0.004062 0.0038510887 0.0037104809 0.0037202453 0.0039428743 0.0037339155 0.00364213 0.0038393713 0.0040073195 0.003622601 0.003724151 0.00364213 0.003626507 0.0036772818 0.0036694703 0.0036050251 0.0037495387 0.0036850935 0.0038901463 0.003440983 0.0036909522 0.003745633 0.0038901463 0.0037690676 0.00364213 0.0038296068 0.0035972137 0.0036616588 0.0037221983 0.00384523 0.003796408 0.0037553974 0.0039663087 0.0037671146 0.0039077224 0.0037378212 0.0036968107 0.0037339155 0.0037065751 0.0035347212 0.0039233454 0.004132304 0.0037378212 0.0036909522 0.004167456 0.0039897435 0.0037514914 0.0038862405 0.004112775 0.0038217953 0.0036460357 0.0038022664 0.0039526387 0.0039526387 0.0037124339 0.0040912936 0.00425143 0.0042045605 0.00404833 0.003894052 0.004181126 0.004181126 0.0040288013 0.004456483 0.006745264 0.008016032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007309541 6.7517845e-05 5.4797096e-05 6.849637e-06 9.589492e-05 3.5226705e-05 0.00014090682 8.317416e-05 7.241045e-05 9.785195e-06 1.957039e-05 9.785195e-06 2.250595e-05 1.1742234e-05 7.828156e-06 6.849637e-05 0.0018171108 1.6634833e-05 1.7613353e-05 1.957039e-06 1.4677793e-05 9.785195e-06 4.9904498e-05 3.0334106e-05 3.914078e-06 9.785196e-07 1.6634833e-05 3.914078e-06 3.914078e-06 4.8925976e-06 7.828156e-06 3.914078e-06 0.0016018365 1.957039e-06 5.871117e-06 4.8925976e-06 3.0334106e-05 9.785196e-07 1.957039e-06 7.6324526e-05 9.589492e-05 9.785196e-07 9.785196e-07 3.914078e-06 3.914078e-06 4.8925976e-06 1.957039e-06 0.00016732684 0.0016634832 6.066821e-05 4.403338e-05 3.914078e-06 4.305486e-05 1.5656313e-05 2.8377066e-05 1.7613353e-05 4.109782e-05 9.785195e-06 1.7613353e-05 4.8925976e-06 1.6634833e-05 1.1742234e-05 5.871117e-06 1.957039e-05 0.0014227674 8.806676e-06 1.6634833e-05 5.871117e-06 4.50119e-05 9.785196e-07 3.6205223e-05 0.00010078751 0.00012720755 9.785196e-07 9.785196e-07 5.871117e-06 7.828156e-06 4.8925976e-06 2.9355585e-06 0.00021625283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022701654 1.5656313e-05 0.00010665863 6.7517845e-05 0.00016732684 0.00010078751 0.0007867297 0.00034150333 2.3484468e-05 1.7613353e-05 9.785195e-06 1.957039e-05 3.1312626e-05 9.785195e-06 1.3699274e-05 2.6420028e-05 0.0012358702 3.6205223e-05 1.957039e-05 4.50119e-05 7.9260084e-05 7.241045e-05 4.305486e-05 8.7088236e-05 9.589492e-05 3.0334106e-05 2.8377066e-05 2.6420028e-05 4.207634e-05 1.7613353e-05 4.8925976e-05 9.589492e-05 0.0016390203 7.6324526e-05 0.00013601422 0.00011252975 0.00019863946 0.00015852017 0.000774009 0.00038651522 0.00012916457 3.2291144e-05 2.250595e-05 1.957039e-05 9.393787e-05 3.5226705e-05 5.3818574e-05 0.00013992829 0.0010685433 4.599042e-05 6.458229e-05 6.164673e-05 6.458229e-05 6.360377e-05 5.4797096e-05 8.415268e-05 5.3818574e-05 6.7517845e-05 5.6754132e-05 6.653933e-05 5.6754132e-05 4.8925976e-05 5.871117e-05 8.7088236e-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 0.004981643 0.0007955364 0.0006321236 0.00073780376 0.0018836501 0.0011830301 0.00047262493 0.0012074931 0.002957086 0.00026909288 0.00021723134 0.0002005965 0.001478543 0.00036400926 0.0009325291 0.001727087 0.003456131 0.00064973696 0.00045403306 0.00059298286 0.0012554405 0.0011350827 0.00048338866 0.0010616936 0.0020881607 0.00027300694 0.0003855367 0.0003806441 0.0010431018 0.0002955129 0.0007916223 0.0016859892 0.05579616 0.05684905 0.056677807 0.057500742 0.056646496 0.058284536 0.057466496 0.059630003 0.057058454 0.05673065 0.057277642 0.05938733 0.05700659 0.059164226 0.059594776 0.06278475 2352.0 6.047619 14224.0 0.014623172 0.007944319 0.0077334084 0.009561305 0.00815523 0.009983127 0.008787964 0.008787964 0.010194038 0.00984252 0.00871766 0.009701912 0.0089988755 0.012584364 0.0089988755 0.00871766 0.00984252 0.009420698 0.009631609 0.008014623 0.009701912 0.010194038 0.010264342 0.008084927 0.0085770525 0.009701912 0.0089988755 0.009139483 0.008928572 0.0085770525 0.010756468 0.009209787 0.010897076 0.010897076 0.009631609 0.009420698 0.012021935 0.010334645 0.01061586 0.01061586 0.009491001 0.008858268 0.009772216 0.008295838 0.0085770525 0.011107987 0.0111782905 0.009491001 0.010264342 0.007874016 0.010686164 0.013006187 0.00984252 0.008014623 0.009420698 0.012654668 0.008506749 0.010123734 0.00928009 0.0085770525 0.01061586 0.009350394 0.010967379 0.009209787 0.010264342 0.013287402 0.009420698 0.012654668 0.011529809 0.02123172 0.010053431 0.010545556 0.011670416 0.014974691 0.009772216 0.00738189 0.014974691 0.011107987 0.014974691 0.016240157 0.011811024 0.009420698 0.016380765 0.01251406 0.01743532 0.011459505 0.008647356 0.011529809 0.010756468 0.010475253 0.00984252 0.009209787 0.010897076 0.009139483 0.008928572 0.009491001 6.5547466 0.0 0.0 0.0 13.0 512063.0 57344.0 0.0 0.0 53.0 0.0 1.0 0.0 0.0 0.0 921692100.0 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 20480.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 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 5.2506824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2053694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.659136 0.0 3.0111814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19572.0 0.0 1512.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 25668.0 1512.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 24576.0 0.0 0.0 0.0 0.0