Input: 0.02249544 0.0041845418 0.0038933915 0.00393647 0.0041500046 0.003699539 0.0036104112 0.0037017672 0.0040378524 0.0037355614 0.0035524783 0.003659803 0.0037132795 0.0036297222 0.0035383664 0.0039435257 0.0036401206 0.0035925857 0.0036449484 0.003581816 0.003769727 0.0037648992 0.0037990648 0.003620438 0.0036408633 0.003604098 0.003561391 0.003608183 0.0036869126 0.0036676016 0.0035717892 0.0036579461 0.004013714 0.0034540666 0.0035833016 0.00353391 0.0043754233 0.00370251 0.0036605457 0.003601127 0.0035446796 0.003616353 0.003585901 0.0038703668 0.0036553466 0.0037062236 0.003776783 0.0037225636 0.0036612884 0.0037173645 0.003753387 0.0042068237 0.0037730692 0.003831745 0.0037485592 0.0036728007 0.003719964 0.0037314764 0.003755615 0.00393647 0.0037385323 0.0038250603 0.0037017672 0.0037485592 0.0039710067 0.0037686129 0.0043245465 0.0038636823 0.0038373154 0.0043245465 0.0037712124 0.00371068 0.0036542325 0.0037537583 0.003750416 0.003829888 0.0037426173 0.0040070293 0.0036824562 0.003746331 0.004098385 0.0038324876 0.0037151363 0.004031168 0.0037934943 0.0041852845 0.003997374 0.003914188 0.0036765144 0.0039435257 0.0039208727 0.0040842732 0.0037073377 0.0039970023 0.003980662 0.0038465995 0.003564362 0.0037730692 0.0035691897 0.0036631452 0.003941669 0.004167459 0.0038841073 0.0037080804 0.0037619283 0.003978434 0.0038737091 0.0038547695 0.003869624 0.0038997047 0.0039710067 0.0040255976 0.0036174671 0.0035974134 0.003994403 0.0039186445 0.0043442287 0.004186027 0.0038090916 0.0038109485 0.0038243176 0.0037726979 0.0036765144 0.0038239462 0.003838058 0.0039034183 0.0036813421 0.0037411319 0.004002944 0.0035116281 0.0035131136 0.004187884 0.0036293508 0.003848085 0.003490089 0.0036449484 0.0037225636 0.0046910834 0.0037292482 0.0074648093 0.0036144962 0.0041117542 0.0036579461 0.0036215521 0.0037054808 0.0036271226 0.0036787426 0.003724049 0.0035955566 0.0037957225 0.0037604428 0.0037277627 0.0035565633 0.0036794853 0.0037400178 0.003679114 0.0035658474 0.0036560893 0.0037864384 0.0037162504 0.0036991676 0.0036130107 0.0035365096 0.0036397493 0.0036408633 0.0037949798 0.0036089257 0.0036917403 0.0035769884 0.0037151363 0.0037244204 0.003842143 0.0037377896 0.0038336017 0.0037177359 0.003848085 0.0036308363 0.0036520043 0.003784953 0.0037363041 0.0038213467 0.0038343444 0.0038529127 0.0039015615 0.0038963624 0.0038904205 0.0039858613 0.0037879238 0.0037838388 0.0037775256 0.0038046353 0.003900076 0.0042513874 0.0036055834 0.0036798567 0.0042372756 0.0037426173 0.0037114227 0.0037797538 0.0038465995 0.0036468052 0.0037723265 0.0036902549 0.0037771543 0.0036575748 0.0036735435 0.0036850558 0.0037500446 0.0037184786 0.0036694584 0.0039216154 0.003865539 0.0037210782 0.0037415032 0.003820604 0.0038373154 0.003934613 0.0038120626 0.003861454 0.0040207696 0.0037411319 0.0038269171 0.0037366755 0.003777897 0.0037426173 0.003722935 0.0037734406 0.00372702 0.0036520043 0.0037233063 0.0037125368 0.0037181072 0.0055303685 0.003871481 0.0037719551 0.0040564206 0.0038777941 0.003753387 0.0037671274 0.0037864384 0.0039899466 0.0037905234 0.003758586 0.003734076 0.0038477136 0.0037960939 0.0038584832 0.003839915 0.0041689444 0.0036779998 0.0037994361 0.0038213467 0.0039791767 0.003817633 0.0046216385 0.008771271 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033351022 4.4591893e-06 3.5301916e-06 3.5301916e-06 3.1585926e-06 1.24485705e-05 3.344392e-06 2.972793e-06 2.972793e-06 1.300597e-06 1.672196e-06 1.300597e-06 2.0437951e-06 1.300597e-06 1.672196e-06 1.300597e-06 0.0006610748 9.661578e-06 7.4319823e-06 7.4319823e-06 6.688784e-06 2.601194e-05 7.4319823e-06 6.317185e-06 6.317185e-06 2.972793e-06 3.344392e-06 2.972793e-06 4.0875902e-06 2.972793e-06 3.344392e-06 2.972793e-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 0.001346861 0.0002095819 3.1400126e-05 2.3039145e-05 4.25481e-05 2.0252151e-05 5.1652278e-05 2.7684135e-05 2.0623751e-05 1.1891172e-05 1.8022558e-05 4.0318504e-05 1.6350361e-05 1.0962174e-05 1.1519573e-05 1.9880554e-05 0.00028817513 4.4591893e-06 0.00017613798 7.989382e-06 3.6230915e-05 3.734571e-05 0.0006958194 0.0002478566 2.601194e-06 1.1147973e-06 9.289978e-07 1.672196e-06 1.8579956e-06 1.1147973e-06 6.1313854e-06 1.263437e-05 0.00091264746 1.0218976e-05 0.00014659585 3.864631e-05 0.00018059717 9.512938e-05 0.0007978233 0.00036230913 7.0603833e-06 3.7159912e-06 1.3563368e-05 5.573987e-06 1.0590575e-05 8.54678e-06 1.6164562e-05 5.443927e-05 0.0013108159 2.5082942e-05 0.00012225611 0.00014046447 9.0298585e-05 5.481087e-05 0.00023336425 0.00010906434 4.23623e-05 2.6940936e-05 3.9761107e-05 3.883211e-05 5.202388e-05 4.998008e-05 7.097543e-05 0.0002565892 0.0010930588 2.2667547e-05 8.49104e-05 0.0001263437 0.00011946912 7.785002e-05 0.00036899792 0.00017855338 6.187125e-05 3.3258122e-05 4.4034496e-05 9.568677e-05 0.00010274716 3.288652e-05 3.0099529e-05 0.00019118775 0.0010538552 8.769739e-05 8.7325796e-05 0.0010962174 0.00010702055 0.00010906434 8.714e-05 0.000113523536 0.000116682124 0.0001231851 0.00013749168 0.000169635 0.0001707498 0.00013767747 0.00017483739 0.00041358982 0.0013503912 0.000108506945 6.2242856e-05 0.00010887854 0.0001700066 0.000111479734 9.605837e-05 0.00014157926 0.0002928201 0.0001295023 0.00016164561 0.00023763764 0.00016015922 0.0001261579 0.00023652284 0.00069210335 0.0055633965 0.00094627717 0.0009395884 0.0006787258 0.0016840872 0.0012439281 0.0007075247 0.0007264763 0.0031632376 0.0004641273 0.00036602514 0.0008559786 0.0010022029 0.0006261445 0.0012805306 0.0025827996 0.007648625 0.001344074 0.0014667017 0.0014592698 0.0028657725 0.003034107 0.0014026009 0.0017336957 0.005043529 0.00095779676 0.00076995336 0.0010683475 0.0022455736 0.0012788584 0.002678858 0.004576057 0.057781804 0.055648454 0.056283332 0.056845933 0.056446094 0.05791614 0.05706202 0.05789217 0.05569323 0.05725265 0.05767237 0.05852965 0.05674783 0.058736444 0.057684634 0.05847391 13038.0 6.4308944 83846.0 0.019189943 0.008396346 0.00905231 0.0080624 0.009207357 0.008682584 0.008801851 0.008861484 0.008265153 0.008933044 0.008754144 0.009028457 0.008909191 0.00908809 0.0102568995 0.008754144 0.0094816685 0.01004222 0.009887174 0.010280753 0.009851394 0.010578918 0.009111944 0.009386255 0.009457815 0.009648642 0.009720202 0.010447726 0.009422036 0.009433962 0.009445889 0.009135797 0.007919281 0.009755981 0.009255063 0.010161486 0.009350476 0.009922954 0.009541302 0.009577082 0.008682584 0.0102330465 0.008694511 0.00898075 0.009577082 0.010566992 0.009517449 0.008527539 0.009720202 0.0095532285 0.010543139 0.010638552 0.010078 0.009851394 0.009624789 0.009517449 0.008694511 0.009887174 0.009636715 0.009815615 0.009422036 0.009958734 0.0096009355 0.00898075 0.007776161 0.017866088 0.009505522 0.013715621 0.013393602 0.025809221 0.009911028 0.010626625 0.010853231 0.018343152 0.008944971 0.009720202 0.015826635 0.010984424 0.016530305 0.01707893 0.010316533 0.008837631 0.017687188 0.015504615 0.017806455 0.011055984 0.009505522 0.009648642 0.009887174 0.009183503 0.0088972645 0.00799084 0.008646805 0.008527539 0.008050473 0.00820552 6.537551 2.0 3.0 0.0 55.0 2692768.0 229376.0 0.0 0.0 22.0 1.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 148992.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148992.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.751765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8976884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6017766 0.0 0.0 0.0 0.0 0.0 0.0 -4.9370193 5.2994742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 4341.0 0.0 0.0 0.0 0.0 0.0 -10388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148684.0 0.0 0.0 0.0 0.0 0.0 0.0 -6040.0 25256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6040.0 176128.0 25256.0 200704.0 0.0 0.0 0.0 0.0 6276.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12902768 0.02345527 0.010424564 0.016679302 0.015779 0.007818423 0.020043593 0.0056861257 0.004311979 0.0073919636 0.0070128883 0.0039329035 0.0028430629 0.0073445793 0.0039329035 0.0029378317 0.0033169067 0.003364291 0.0024166035 0.010945792 0.0028430629 0.0028430629 0.0037907506 0.0027009097 0.0018006065 0.002606141 0.0020375284 0.0018006065 0.0036485975 0.0048805913 0.0035064442 0.0030326005 0.009287339 0.0024166035 0.0027482943 0.003222138 0.0030799848 0.0024639878 0.0027482943 0.0018006065 0.0024166035 0.0018479909 0.0046910536 0.0047858227 0.0018479909 0.004075057 0.0063968915 0.006965504 0.03212661 0.015020849 0.006681198 0.004075057 0.0029378317 0.0024639878 0.0023218347 0.0037907506 0.0034590599 0.0028430629 0.0025587566 0.0015636847 0.0015163003 0.0023218347 0.0016584534 0.0019427596 0.0024639878 0.003601213 0.0022744504 0.0059230477 0.0024166035 0.0025113723 0.0027482943 0.0017058378 0.0042645945 0.0024166035 0.0013741471 0.0024639878 0.0021796816 0.005970432 0.002606141 0.0019901441 0.0035538287 0.0015636847 0.0032695225 0.006065201 0.0034116756 0.010945792 0.0027482943 0.0027956786 0.0025113723 0.0022744504 0.0029378317 0.0020375284 0.0018953753 0.0021322973 0.0017058378 0.0031747536 0.0022270659 0.007486732 0.0021322973 0.012177786 0.005970432 0.00886088 0.006681198 0.0040276726 0.004311979 0.01459439 0.0018953753 0.002985216 0.0045015165 0.007818423 0.008055345 0.022460198 0.006539045 0.0018006065 0.014783927 0.009476877 0.016584534 0.003838135 0.0023218347 0.0038855192 0.0021322973 0.0026535254 0.0020375284 0.0013741471 0.0014215314 0.0020375284 0.0015636847 0.0014215314 0.0029378317 0.0032695225 0.008766111 0.0013267627 0.0018006065 0.0013741471 0.00767627 0.0013267627 0.0018006065 0.0021796816 0.0014689158 0.00090030325 0.0014215314 0.0018953753 0.0013741471 0.0015163003 0.0019901441 0.0017532221 0.0020375284 0.0021796816 0.0019901441 0.0021796816 0.0017058378 0.0022744504 0.0018006065 0.0018006065 0.0014689158 0.0020375284 0.0015163003 0.0016584534 0.0020375284 0.0014215314 0.0036959818 0.0022270659 0.0022270659 0.0023218347 0.0019427596 0.0018006065 0.0011846096 0.0017058378 0.0023692192 0.0012793783 0.0018479909 0.0014215314 0.0020375284 0.0013741471 0.001611069 0.0021796816 0.0018479909 0.0020375284 0.0018479909 0.0014215314 0.0018006065 0.0015163003 0.0013267627 0.0015163003 0.0020849127 0.00090030325 0.0011372252 0.001611069 0.0018006065 0.0018006065 0.0013741471 0.0019427596 0.0014689158 0.0018479909 0.0013741471 0.0020849127 0.0015163003 0.0019901441 0.0013741471 0.0011372252 0.0020849127 0.0018479909 0.0022270659 0.0020849127 0.0012319939 0.0016584534 0.0021322973 0.0015636847 0.0014215314 0.0018953753 0.0018953753 0.0014215314 0.0014689158 0.0015163003 0.0016584534 0.0013267627 0.0018006065 0.0014215314 0.0014689158 0.0019901441 0.0008529189 0.0019901441 0.0017532221 0.0017058378 0.0013741471 0.0019901441 0.0021796816 0.0015636847 0.0018953753 0.0018006065 0.0017058378 0.0016584534 0.0015636847 0.0018953753 0.0012319939 0.001611069 0.0021322973 0.0019901441 0.0010898408 0.0017058378 0.0014689158 0.0010898408 0.0022744504 0.0015636847 0.0018479909 0.0018953753 0.0012319939 0.0041698255 0.0015636847 0.0013267627 0.0016584534 0.0018953753 0.0019427596 0.0018006065 0.0014215314 0.0019427596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07247122 0.0014391447 0.0028268914 0.0042403373 0.0023900082 0.002133018 0.010202508 0.0054224916 0.0007966694 0.00043688322 0.0006167763 0.00028268914 0.00048828125 0.00043688322 0.0004111842 0.00066817435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03307463 0.00084806746 0.001953125 0.0013620477 0.001850329 0.0014391447 0.0044973274 0.0023129112 0.00053967925 0.00071957236 0.0007709704 0.00048828125 0.0006938733 0.0006167763 0.0007966694 0.00066817435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021175986 0.0026469983 0.0024414062 0.003829153 0.002133018 0.0027754933 0.0055252877 0.0034179688 0.0017732319 0.0008223684 0.0010279606 0.0010793585 0.0009765625 0.00084806746 0.0009765625 0.0011821546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06391344 0.020199424 0.020199424 0.03407689 0.015984787 0.018965872 0.04001336 0.024285568 0.015959088 0.008994655 0.010125411 0.008532072 0.009405839 0.007786801 0.007992393 0.0093544405 0.0729595 0.030787418 0.032997534 0.044896174 0.02449116 0.028063321 0.05599815 0.039216693 0.02240954 0.01924856 0.019042969 0.015804892 0.016370272 0.016087582 0.017423932 0.017886514 231.0 18.922077 4371.0 0.03042782 0.0018302448 0.0004575612 0.0038892701 0.004118051 0.002287806 0.0032029285 0.001143903 0.001143903 0.0018302448 0.002287806 0.0025165866 0.001143903 0.010295127 0.017844887 0.023793183 0.058567833 0.04575612 0.021276595 0.008464882 0.004804393 0.0036604896 0.004575612 0.004575612 0.009837566 0.007320979 0.006863418 0.0004575612 0.0009151224 0.0013726836 0.0018302448 0.001143903 0.0016014642 0.009380004 0.0018302448 0.019217571 0.0025165866 0.004118051 0.0020590255 0.001143903 0.0016014642 0.0027453671 0.0018302448 0.002974148 0.0018302448 0.018073667 0.002974148 0.002974148 0.005948296 0.0009151224 0.0086936625 0.012354152 0.0070921984 0.0006863418 0.0006863418 0.005719515 0.0016014642 0.001143903 0.006177076 0.0002287806 0.0 0.001143903 0.0004575612 0.0043468312 0.0013726836 0.021047816 0.0009151224 0.045069776 0.016700983 0.02676733 0.02287806 0.009380004 0.0132692745 0.055364907 0.0002287806 0.005261954 0.009608786 0.025165865 0.02630977 0.091283455 0.0224205 0.0009151224 0.056051247 0.03477465 0.06520247 0.00754976 0.002287806 0.009380004 0.001143903 0.002287806 0.0006863418 0.0002287806 0.0013726836 0.0002287806 0.0006863418 0.0004575612 5.3908854 2.0 20.0 0.0 2.0 21104.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1535422100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 1024.0 512.0 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 -1024.0 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 -1.2075187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.600899 0.0 3.538302 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 -772.0 0.0 1104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 8876.0 1104.0 16384.0 0.0 0.0 17520.0 3584.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.18628423 0.013998906 0.008825327 0.006589235 0.010499984 0.0050448827 0.0031868345 0.0038351405 0.013049773 0.002599659 0.0024886588 0.002149223 0.0060004503 0.0016601783 0.0018516135 0.0045252726 0.0068723657 0.0013078729 0.0010746114 0.0011952639 0.0038673144 0.0018371352 0.0017567002 0.0011276986 0.0031594865 0.0008461761 0.00091374153 0.0007963064 0.0023776584 0.00071748014 0.00089443714 0.00087513274 0.0056079277 0.00062900165 0.0009346546 0.00062256685 0.0047842734 0.0014140472 0.0007206975 0.00056626234 0.0018950484 0.0006708278 0.0006708278 0.0017743959 0.0019095268 0.0008703066 0.0010730028 0.00046330557 0.004496316 0.00228918 0.0023840931 0.0116968565 0.0035439658 0.0024307454 0.0024516585 0.0023840931 0.004427142 0.0023921367 0.0028586597 0.004362794 0.0033911392 0.0025900067 0.0021315273 0.0020430489 0.0062337117 0.0031755734 0.004052315 0.009187285 0.0066391043 0.019801486 0.0068144524 0.0034764004 0.008333066 0.0014462211 0.0010553071 0.0015266562 0.0020333966 0.0041391845 0.0014188733 0.0018451788 0.008773849 0.0026672243 0.0028570509 0.008344326 0.0041874456 0.0090601975 0.0052009267 0.0036147486 0.0022409188 0.004240533 0.0018290917 0.004724751 0.0015073518 0.0045847944 0.0041037933 0.0026720504 0.0015829606 0.0041407933 0.0010697854 0.002342267 0.006748496 0.007268106 0.004509186 0.0020945272 0.005652971 0.0039204014 0.003627618 0.0010376114 0.004203533 0.002154049 0.005181622 0.0055226665 0.0032946174 0.00038930535 0.004866317 0.0036083139 0.014679386 0.007475628 0.0011083942 0.0012933947 0.0026929635 0.0014928734 0.0006257842 0.0009909591 0.001993179 0.002358354 0.001340047 0.0011936553 0.008053152 0.0013722209 0.0005244361 0.011444291 0.003864097 0.004721534 0.0019738746 0.0005244361 0.0027878769 0.011032464 0.0023245714 0.05319166 0.0011759596 0.005681928 0.00040378366 0.0006756539 0.011330073 0.00041826197 0.00059521897 0.0008268717 0.0011389595 0.0007576976 0.00046652296 0.00033621828 0.0009990026 0.00038287055 0.00042469677 0.00050834916 0.0009829156 0.00044882725 0.00052282744 0.00029439208 0.0012853512 0.0023438756 0.00036034876 0.00070621923 0.00084456743 0.0005807406 0.00035713136 0.00036195747 0.0010376114 0.00040539235 0.0006193494 0.00036517487 0.0011244812 0.00042630546 0.00035874007 0.00040056626 0.0024194845 0.000632219 0.0012177858 0.0007882629 0.0013496992 0.00039413146 0.00058234937 0.0009410894 0.0024934849 0.0013931341 0.002047875 0.0013255686 0.0010906985 0.00058878417 0.00079308904 0.00059682765 0.00842637 0.0011968727 0.0016843088 0.011877031 0.0045944466 0.00053247967 0.004647534 0.003392748 0.0022923972 0.0015298736 0.0008220456 0.0007576976 0.0016843088 0.00039413146 0.0007882629 0.00051639264 0.0027460507 0.0009040893 0.002620572 0.0015041344 0.0018130047 0.00046491425 0.0016907435 0.001018307 0.005032013 0.00072391494 0.0010955246 0.002245745 0.0016408738 0.00068691483 0.00068530615 0.00064187124 0.002046266 0.00060165377 0.000889611 0.00057913194 0.0016392651 0.0013368296 0.00060808857 0.00050191436 0.023438757 0.0026237895 0.0006756539 0.0049370998 0.004645925 0.00053408835 0.00065956695 0.0006563495 0.00531997 0.00071587146 0.0015379171 0.0015781346 0.0036646184 0.00054052315 0.0025176152 0.0013818732 0.005841189 0.0011888292 0.0013496992 0.0014462211 0.00846337 0.0014478299 0.002680094 0.03794762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014592035 2.0143616e-05 1.5309148e-05 1.4503404e-05 1.2891915e-05 4.673319e-05 1.4503404e-05 1.2891915e-05 1.2891915e-05 4.8344677e-06 6.4459573e-06 4.8344677e-06 8.863191e-06 4.8344677e-06 6.4459573e-06 4.8344677e-06 0.005645047 4.7538935e-05 8.621468e-05 4.915042e-05 7.493425e-05 0.00014181106 0.0001353651 0.00013133638 3.5452766e-05 3.3841276e-05 2.417234e-05 2.3366594e-05 8.29917e-05 4.4315955e-05 2.0949361e-05 2.417234e-05 0.0025638794 0.00016195467 4.915042e-05 3.1424042e-05 3.2229786e-05 7.815723e-05 0.00013858808 7.896298e-05 2.578383e-05 2.0143616e-05 1.6920638e-05 1.8532126e-05 2.1755106e-05 1.8532126e-05 1.7726383e-05 2.6589572e-05 0.0036967564 7.574e-05 3.464702e-05 0.00010635829 0.00013858808 7.0099784e-05 3.0618296e-05 3.464702e-05 0.0001426168 0.0001426168 4.1092975e-05 7.251702e-05 5.3179145e-05 5.23734e-05 3.7064252e-05 0.00022157977 0.019316921 0.0013858808 0.0011151506 0.00019579595 0.0011522148 0.0003593621 0.0031222606 0.0015381665 0.00015470297 0.00015631446 0.00017887531 0.0002489751 0.00031826913 0.0004060953 0.00016920637 0.0015349436 0.01448326 0.00065909914 0.00044477105 0.00035855637 0.0023648606 0.00085489504 0.0051140613 0.0024905566 0.00025783828 0.00028120488 0.00015309147 0.0002022419 0.00021191084 0.00016678913 0.00017565233 0.0014841816 0.0052349227 0.00032390933 0.00042543316 0.002795934 0.0005503236 0.00021191084 0.00052292825 0.00043751934 0.0006808542 0.00014906276 0.00013294787 3.8675742e-05 0.00017887531 0.00039239763 0.00015309147 0.0009725338 0.013691213 0.00076868036 0.0012883857 0.0018999459 0.0038885237 0.0016477478 0.007864874 0.0042760866 0.001119985 0.00032793806 0.00023527743 0.00022157977 0.00044718827 0.00041656996 0.00035694486 0.0011530205 0.04098017 0.0036008728 0.003858711 0.028680481 0.013453518 0.0050939177 0.01457592 0.008605353 0.0055394946 0.0026702378 0.0027580638 0.00280238 0.0035573626 0.0029949527 0.0031472386 0.006196176 0.017656282 0.0014455059 0.0009991233 0.0011868619 0.006406476 0.0024929738 0.0054355534 0.003130318 0.00379264 0.00091774313 0.00052212254 0.0013327016 0.0014648438 0.001012821 0.0018161484 0.003193166 0.065322526 0.0082613 0.0056974203 0.007061546 0.021816341 0.020951778 0.009846199 0.010700289 0.037347876 0.0055507747 0.0023995074 0.0056023425 0.0131143 0.0069108717 0.014630711 0.022211963 0.08159534 0.0129040005 0.010614879 0.01350428 0.031413566 0.03877243 0.014314859 0.01801081 0.060821634 0.010201532 0.005114867 0.008104986 0.025746765 0.013134443 0.025918387 0.040718306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5665.0 10.602648 60064.0 0.014501199 0.00073255197 0.002380794 0.00071590306 0.004678343 0.0011321257 0.0016149441 0.0005827118 0.0037793021 0.0011654235 0.0023974427 0.0009489877 0.0031799413 0.0016981886 0.005594033 0.0007824987 0.010322323 0.008257858 0.009106953 0.030417554 0.010655301 0.0076252 0.008157965 0.00854089 0.01173748 0.0076917955 0.009573122 0.009972696 0.0085575385 0.0076252 0.007958178 0.0069592437 0.0040623336 0.00807472 0.008940464 0.019162893 0.015516782 0.009739611 0.009939398 0.0040290356 0.008457645 0.008407698 0.0011321257 0.002147709 0.0073588174 0.008907165 0.003945791 0.01158764 0.010738545 0.0017148375 0.0057105753 0.017098429 0.019595765 0.004478556 0.0025805808 0.004678343 0.0030301013 0.0054941396 0.0019645712 0.005244406 0.0028303142 0.004495205 0.0052111084 0.007725093 0.0025805808 0.034646377 0.0072922218 0.019412627 0.021077517 0.062899575 0.0058604158 0.012619873 0.014501199 0.032815 0.0020644646 0.0070258393 0.03080048 0.014917421 0.045235083 0.04836508 0.019429276 0.0009489877 0.040007327 0.023608152 0.0601858 0.013535562 0.004911428 0.007991476 0.009956047 0.0076584974 0.00198122 0.00036627598 0.0027304208 0.0004162227 0.0006160096 0.00049946725 5.8622065 0.0 0.0 0.0 1.0 621620.0 659456.0 0.0 20.0 368.0 1.0 1.0 0.0 1.0 0.0 1167384000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 499712.0 1536.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -33792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 -499200.0 -9728.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.631658 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.20448816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.552728 0.0 0.0 0.0 0.0 0.0 3.4075575 0.0 0.0 -6.496418 -5.190558 5.1544285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -36864.0 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 -61440.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -499712.0 -12288.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 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 1.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 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 -2.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 567.0 585728.0 9602.0 573440.0 31232.0 589824.0 0.0 0.0 0.0 0.0 33472.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 569344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.010304009 0.005163947 0.004208545 0.0043518553 0.0044330647 0.004027019 0.004748347 0.004203768 0.0042324304 0.0040222416 0.0038837085 0.0038646006 0.0042706463 0.0040461267 0.0038359384 0.0039410326 0.004170329 0.0039840257 0.0035158787 0.0042515383 0.0037977223 0.0038837085 0.003649635 0.0039267014 0.0037403982 0.0036687432 0.0036926281 0.003659189 0.003702182 0.0039219246 0.003702182 0.003649635 0.0044330647 0.004007911 0.0039171474 0.004007911 0.0037786143 0.0039028164 0.0038120532 0.0037260673 0.0037547292 0.0037451752 0.0040461267 0.0039028164 0.0039601405 0.0039840257 0.004050904 0.004017465 0.005163947 0.0040747887 0.0039696945 0.0037977223 0.0036830741 0.003640081 0.003654412 0.0036830741 0.0039028164 0.0038693775 0.0039410326 0.0039505865 0.0034298927 0.0037786143 0.0038407154 0.003649635 0.0037929453 0.0039028164 0.0039123707 0.00408912 0.004050904 0.004122559 0.0036161959 0.003592311 0.0039219246 0.0038024993 0.0037260673 0.0036687432 0.003640081 0.0039028164 0.0039601405 0.0037356212 0.0042419843 0.0040652347 0.0036687432 0.0038263844 0.0038598233 0.004624145 0.0038741545 0.0038646006 0.003659189 0.0038216074 0.0038168305 0.0036161959 0.0038646006 0.0036878511 0.0037499522 0.0036830741 0.0038741545 0.0038502694 0.0036782972 0.004308862 0.0043327473 0.0044187335 0.003936256 0.0040652347 0.0042802 0.004643253 0.0037547292 0.003640081 0.0039553638 0.0040222416 0.004203768 0.004299308 0.004084343 0.0037547292 0.0043136394 0.0040747887 0.004576375 0.0039410326 0.0037547292 0.0040126876 0.0038263844 0.0038884855 0.0035158787 0.0039075934 0.0039410326 0.0037499522 0.0040317955 0.0038168305 0.0038550464 0.0038693775 0.0042802 0.0039601405 0.0039601405 0.0040652347 0.004218099 0.0035493178 0.0038693775 0.004113005 0.003663966 0.0042324304 0.0038216074 0.004017465 0.0038120532 0.0035015477 0.0038837085 0.003587534 0.0039028164 0.003654412 0.003706959 0.003644858 0.0037499522 0.0035445408 0.003706959 0.003936256 0.0037403982 0.003630527 0.0037786143 0.003640081 0.0036687432 0.0038168305 0.0038024993 0.0039123707 0.0037738374 0.0039601405 0.0037499522 0.0038407154 0.00357798 0.0038072763 0.003630527 0.003606642 0.0038311614 0.0038693775 0.003587534 0.003630527 0.0039601405 0.0038454924 0.0038454924 0.0039935797 0.004007911 0.003659189 0.0038263844 0.0039075934 0.004108228 0.0037642831 0.0039505865 0.003620973 0.003635304 0.003635304 0.003649635 0.0039314786 0.0037451752 0.003697405 0.004050904 0.0037833913 0.0039601405 0.0037738374 0.0038741545 0.003649635 0.004132113 0.0038454924 0.0037499522 0.0036782972 0.0038693775 0.0036926281 0.0039028164 0.0040031336 0.0038024993 0.0036782972 0.003706959 0.0038646006 0.003601865 0.0038120532 0.0038789315 0.003587534 0.0038454924 0.0036687432 0.0037738374 0.0037260673 0.0035684258 0.0036735202 0.0035684258 0.0038311614 0.0039553638 0.0037929453 0.0038932625 0.0038359384 0.0037786143 0.0037165133 0.0039505865 0.0038932625 0.0038550464 0.0035445408 0.0043566325 0.00353021 0.0037595062 0.0038120532 0.0038741545 0.0038072763 0.003659189 0.0038311614 0.003998357 0.0038120532 0.0035349869 0.0036878511 0.003573203 0.0037929453 0.0038024993 0.0038311614 0.0038216074 0.0038502694 0.0038216074 0.0038980395 0.0039219246 0.0039505865 0.0036878511 0.0055222227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002138335 0.00012507697 8.659175e-05 9.861838e-05 0.00011786099 0.0002092634 0.00021647937 0.00011786099 0.0003175031 4.3295873e-05 2.645859e-05 0.00019483143 0.00021647937 4.8106525e-05 0.00020204742 0.0007672991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031942734 0.00059171027 0.00076248846 0.0009428879 0.0007071659 0.0007504618 0.0016765124 0.0010799916 0.0011136661 0.00026218058 0.00025015394 0.0005315771 0.00063260086 0.0003367457 0.0005652517 0.0013806573 0.0051185344 0.0012339324 0.0015466248 0.002049338 0.001392684 0.0014864916 0.0030114686 0.0019362877 0.0016452433 0.0005051185 0.00061576354 0.000685518 0.00092364533 0.0005844943 0.0007480565 0.0011473406 0.060984645 0.059065193 0.060715247 0.05894493 0.05928889 0.059668932 0.060193293 0.060118727 0.059774764 0.05901468 0.059767548 0.059820466 0.059854142 0.059187867 0.059820466 0.059445236 988.0 7.1093116 7024.0 0.016372437 0.008257403 0.010677677 0.0064066057 0.009538724 0.009538724 0.00726082 0.00583713 0.009823462 0.007403189 0.008257403 0.008826879 0.008257403 0.009396356 0.017796127 0.0160877 0.023775626 0.01736902 0.0125284735 0.008115035 0.008826879 0.008969248 0.005694761 0.008826879 0.011816628 0.00726082 0.010392939 0.006976082 0.005979499 0.007118451 0.006976082 0.007118451 0.008542141 0.0125284735 0.008399772 0.01452164 0.013809795 0.008826879 0.005694761 0.008115035 0.0075455583 0.010392939 0.007830296 0.009253986 0.00868451 0.009111618 0.007403189 0.008542141 0.008257403 0.008542141 0.008399772 0.010250569 0.006548975 0.008969248 0.008115035 0.008115035 0.0075455583 0.006548975 0.0096810935 0.007972665 0.010108201 0.007403189 0.008115035 0.006691344 0.006691344 0.010962415 0.006833713 0.02178246 0.016799545 0.020501139 0.0075455583 0.018792711 0.013525057 0.029612755 0.007403189 0.00726082 0.011389522 0.014379271 0.015091117 0.017796127 0.01167426 0.007403189 0.024345102 0.01751139 0.02761959 0.010677677 0.00726082 0.009965831 0.008257403 0.008257403 0.00726082 0.0062642368 0.006548975 0.00726082 0.008542141 0.006833713 6.4556665 0.0 20.0 0.0 4.0 209336.0 204800.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1520261800.0 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 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 105472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56320.0 0.0 0.0 0.0 0.0 0.0 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 -105472.0 0.0 10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9873176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9967127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9472566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9951534 0.0 7.9825354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14458.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56026.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -105362.0 0.0 10288.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 166448.0 260.0 159240.0 10288.0 176128.0 0.0 0.0 17336.0 192000.0 10832.0 188416.0 28.0 111664.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 133880.0 0.0 0.0 996.0 110592.0 0.0 0.0 0.0 0.0


Input: 0.09668426 0.009292989 0.0068768123 0.007310485 0.018300993 0.004683667 0.0055014496 0.0045473697 0.02315813 0.0015116596 0.002180755 0.0012266746 0.01234109 0.0030109286 0.0021559736 0.014645752 0.013592546 0.0013629717 0.0022179268 0.0021931455 0.007657423 0.0046464945 0.00095408026 0.0006195326 0.004534979 0.0007062672 0.0008301737 0.0013257999 0.0044358536 0.00079300173 0.0005451887 0.0004460635 0.0042747753 0.00053279806 0.00071865786 0.0006443139 0.025177807 0.0014373157 0.00050801673 0.0004460635 0.0022674894 0.0004708448 0.00034693826 0.0056501376 0.0014125344 0.000607142 0.00032215696 0.00018585978 0.0025772557 0.00038411023 0.0004460635 0.010296633 0.0012018933 0.0037543678 0.00086734566 0.000854955 0.0019081605 0.0030109286 0.0002602037 0.0077317674 0.0008425644 0.0009416896 0.00081778306 0.00079300173 0.005018214 0.0034446013 0.0006195326 0.0014001437 0.012576512 0.022736847 0.005563403 0.0155378785 0.0024533493 0.000892127 0.00053279806 0.00040889153 0.0046464945 0.005600575 0.0012638465 0.0007806111 0.011721557 0.006777687 0.0013381905 0.0040393528 0.0013381905 0.0072113597 0.0065546553 0.0067281243 0.001214284 0.004386291 0.0007310485 0.0021931455 0.0034817734 0.0069015934 0.004534979 0.002924194 0.0009788616 0.0003097663 0.00039650087 0.00038411023 0.002639209 0.0019205512 0.003568508 0.00033454763 0.0060218573 0.003060491 0.007310485 0.00081778306 0.0014744876 0.00027259436 0.00024781306 0.00035932893 0.002713553 0.00040889153 0.001994895 0.0015488316 0.016157411 0.016876068 0.001784254 0.0011647213 0.0019577232 0.00071865786 0.00029737566 0.00053279806 0.0017966446 0.0036552425 0.002639209 0.0007558298 0.004002181 0.0010532055 0.00043367283 0.0154511435 0.0030233192 0.015128987 0.0004212822 0.00034693826 0.0020816296 0.018189479 0.00113994 0.054841027 0.00113994 0.011225931 0.0008425644 0.00069387653 0.0014125344 0.0002106411 0.00029737566 0.0002354224 0.0005947513 0.00066909526 9.912522e-05 0.0002106411 0.00079300173 0.00035932893 0.00019825043 0.00032215696 0.0006195326 0.0003097663 0.00016107848 0.0022179268 0.0017346913 0.0024533493 0.0015364409 0.0031843977 0.0008301737 0.0007806111 0.0002106411 0.00019825043 0.0007062672 0.00027259436 0.00012390653 0.0002602037 0.00039650087 0.00017346913 0.00016107848 0.001214284 0.00081778306 6.1953266e-05 0.00019825043 0.00016107848 0.0005947513 0.0004708448 0.0042252126 0.001177112 0.0046588853 0.0003097663 0.00024781306 0.00019825043 0.00068148586 0.0003097663 0.0006443139 0.0005204074 0.011932198 0.0042252126 0.0074343914 0.005761653 0.0019825045 0.0006443139 0.006306842 0.0073972195 0.0028622407 0.0037171957 0.0008797363 0.00069387653 0.00170991 0.00058236066 0.0012638465 0.0010036428 0.0013134092 0.0013629717 0.0027011621 0.0015488316 0.0015860035 0.00024781306 0.0027507248 0.0004460635 0.002354224 0.00091690826 0.0005451887 0.0018709885 0.010594008 0.008215003 0.0027507248 0.0011027681 0.0033083041 0.0009416896 0.0004212822 0.0004212822 0.0021931455 0.00071865786 0.0004956261 0.00045845413 0.018957699 0.0035065548 0.00045845413 0.007459173 0.00930538 0.00032215696 0.0005204074 0.0013010185 0.00417565 0.0016727381 0.0022674894 0.0022550987 0.0032959136 0.0013134092 0.006802468 0.0019701137 0.0057988255 0.0015488316 0.0011895027 0.0014868783 0.0077441577 0.0014744876 0.0019577232 0.05467995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00607498 0.000703886 0.00082437095 0.00017755682 0.001008269 0.0005453531 0.00051998784 0.00034877233 0.0007102273 9.511972e-05 0.0001268263 6.341315e-05 0.00040584416 0.000684862 0.00016487419 0.00053267047 0.0019087358 0.000107802356 0.0001268263 0.0009955864 0.001953125 0.0009829038 0.0002092634 0.0001268263 0.00022828733 0.00010146104 0.0009131493 0.000107802356 0.00015219155 0.0020672686 0.0002980418 0.0027077415 0.08798575 0.017812753 0.017628856 0.014578683 0.034629922 0.029036881 0.011249493 0.023659445 0.057128906 0.00453404 0.004705256 0.007590554 0.022644836 0.016867898 0.01987368 0.045657467 0.11412465 0.028009588 0.027090097 0.021186333 0.04667842 0.04191609 0.018066406 0.03047636 0.07253196 0.0040711244 0.008719308 0.007470069 0.035226006 0.021294136 0.030317826 0.05126319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98.0 5.9387755 582.0 0.024054984 0.0068728523 0.005154639 0.0017182131 0.06357388 0.0034364262 0.0 0.008591065 0.020618556 0.0 0.005154639 0.0017182131 0.010309278 0.0017182131 0.0154639175 0.0 0.010309278 0.0068728523 0.0 0.020618556 0.0068728523 0.0017182131 0.0 0.008591065 0.012027492 0.04467354 0.0 0.02233677 0.008591065 0.0017182131 0.0154639175 0.0017182131 0.008591065 0.0017182131 0.0017182131 0.0017182131 0.020618556 0.0068728523 0.018900344 0.02749141 0.012027492 0.0 0.0017182131 0.0 0.005154639 0.0017182131 0.0017182131 0.0017182131 0.041237112 0.010309278 0.013745705 0.0395189 0.012027492 0.0017182131 0.02233677 0.01718213 0.012027492 0.012027492 0.0 0.0068728523 0.013745705 0.0017182131 0.0068728523 0.010309278 0.013745705 0.010309278 0.013745705 0.005154639 0.008591065 0.013745705 0.024054984 0.0034364262 0.036082473 0.0034364262 0.02233677 0.0 0.012027492 0.0034364262 0.008591065 0.0068728523 0.0034364262 0.0017182131 0.012027492 0.013745705 0.04982818 0.02233677 0.0 0.0017182131 0.0068728523 0.0 0.0 0.0068728523 0.020618556 0.0017182131 0.010309278 0.0 5.798454 0.0 0.0 0.0 1.0 80706.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1542344600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 361472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361472.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6360116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26894.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -361286.0 0.0 16064.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 502084.0 16064.0 528384.0 0.0 0.0 5984.0 553808.0 20716.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 485880.0 0.0 0.0 836.0 368640.0 0.0 0.0 0.0 0.0


Input: 0.06077062 0.0039549503 0.004467144 0.003858914 0.004240149 0.0034020138 0.004013154 0.003026599 0.004045166 0.0036290088 0.0030498807 0.003992783 0.003663931 0.0031866597 0.0029131016 0.0030207788 0.0036552006 0.003538793 0.003253594 0.0029742157 0.00349514 0.0036901229 0.003556254 0.0039549503 0.003436936 0.0030673419 0.004132472 0.0038996567 0.0035358826 0.0028607182 0.003736686 0.0033700017 0.0033496304 0.0036406496 0.003023689 0.0029101914 0.0028374367 0.00349514 0.0029538444 0.003905477 0.0030353297 0.0041382923 0.003972411 0.0029363832 0.004382748 0.0038181713 0.0033991036 0.0042343284 0.0032856062 0.0033409 0.0035824457 0.0032332228 0.0030877132 0.003358361 0.0038821953 0.004330365 0.0029596647 0.004452593 0.0037977998 0.0035067808 0.003844363 0.0029771258 0.0032710552 0.0028694489 0.005453699 0.0053838543 0.0034311158 0.002994587 0.0048716604 0.012115127 0.0027996043 0.004024795 0.0036843023 0.0039083874 0.003451487 0.0033991036 0.0035533437 0.0049444153 0.004042256 0.0029567545 0.0056312205 0.0037745184 0.003145917 0.0036697516 0.0030498807 0.0036726617 0.0041062804 0.0029887666 0.0044613234 0.002948024 0.0031575577 0.0034136546 0.0037308654 0.0041586636 0.0035271521 0.0035737152 0.0032128515 0.0035620744 0.0034689482 0.003084803 0.0039549503 0.0042838017 0.004001513 0.003847273 0.003422385 0.0037803387 0.0041586636 0.004179035 0.0036552006 0.0031080844 0.003224492 0.0037017635 0.0034864093 0.0036813922 0.004010244 0.0030877132 0.003422385 0.003847273 0.004196496 0.0037977998 0.0039607706 0.0037250451 0.0029713055 0.0034543972 0.0037832488 0.0034689482 0.0028752692 0.0032332228 0.005031721 0.0036377395 0.003128456 0.0035329724 0.004438042 0.0036959432 0.0029887666 0.00303824 0.0041237413 0.0043798382 0.003145917 0.0065392004 0.0033379896 0.0041150106 0.0035795355 0.0028781793 0.004030615 0.0036260986 0.0035300623 0.003145917 0.0031255456 0.0034252955 0.0030178686 0.0037832488 0.003358361 0.004211047 0.0038094406 0.0029858565 0.003023689 0.0033758222 0.0032623247 0.0030760723 0.0030586112 0.0034252955 0.003268145 0.0029916768 0.005121937 0.0038065305 0.002843257 0.003754147 0.0034282056 0.0033991036 0.0033554507 0.002857808 0.0035533437 0.0045311684 0.0032419532 0.002796694 0.0030789827 0.0031546475 0.0037483266 0.002843257 0.0033554507 0.0032099413 0.003844363 0.003844363 0.0032594146 0.003404924 0.0030498807 0.0035446133 0.004010244 0.0032856062 0.0031226354 0.0033147081 0.004397299 0.0035940865 0.003329259 0.0033030673 0.0034311158 0.002916012 0.010319539 0.0038210815 0.0030324196 0.003480589 0.003736686 0.004697049 0.0061463243 0.0037890694 0.0028927303 0.0035126011 0.0030033176 0.004056807 0.0035824457 0.0032623247 0.0029858565 0.0032128515 0.0031197253 0.003832722 0.003934579 0.0032303126 0.0030324196 0.0037745184 0.003963681 0.0034980502 0.0035184214 0.0046417555 0.0045049763 0.0028752692 0.0030149585 0.0035213318 0.0034252955 0.0037250451 0.0030906233 0.004027705 0.0054042256 0.0039287587 0.0028607182 0.0030178686 0.0041673942 0.003009138 0.0039462196 0.0029043711 0.004828008 0.0036435598 0.00440312 0.0036755719 0.0032768757 0.0037919795 0.0032856062 0.0038385426 0.004001513 0.0039403993 0.0038705547 0.0037657877 0.004592282 0.0030789827 0.004135382 0.006638147 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.052542865 0.053115938 0.05313494 0.053778186 0.05010438 0.052012186 0.05265397 0.053974085 0.051326547 0.051811904 0.053237274 0.05204581 0.052968282 0.054089576 0.05243322 0.055082217 1404.0 8.0363245 11283.0 0.0084197465 0.0068244264 0.0064699105 0.006026766 0.0061153946 0.0072675706 0.005849508 0.006026766 0.007001684 0.019232474 0.006292653 0.0053177346 0.0063812817 0.0057608793 0.007001684 0.004697332 0.006204024 0.005849508 0.006735797 0.009128778 0.0056722504 0.0055836216 0.0063812817 0.0068244264 0.0065585393 0.007001684 0.007001684 0.0063812817 0.004697332 0.006735797 0.0057608793 0.0053177346 0.006647168 0.047859613 0.019409731 0.0068244264 0.06505362 0.0071789417 0.0065585393 0.03749003 0.0063812817 0.03571745 0.006026766 0.0054063634 0.0065585393 0.008331117 0.034388017 0.006026766 0.049986705 0.0072675706 0.006204024 0.0071789417 0.006204024 0.0054949922 0.006647168 0.0074448283 0.03527431 0.007090313 0.005938137 0.0057608793 0.0054063634 0.0054949922 0.006292653 0.009837809 0.006204024 0.010015067 0.006735797 0.0081538595 0.011610387 0.017459895 0.0073561994 0.009394664 0.0063812817 0.010015067 0.007090313 0.005938137 0.010192324 0.009749181 0.010635469 0.023398032 0.006735797 0.0054063634 0.010103696 0.009837809 0.013294336 0.02029602 0.0056722504 0.0061153946 0.0063812817 0.0061153946 0.006292653 0.0055836216 0.018877959 0.0064699105 0.0064699105 0.0061153946 6.147908 0.0 0.0 0.0 9.0 343620.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.17650418 0.012011633 0.09563511 0.0051647923 0.00500156 0.010682801 0.0038400409 0.0030444344 0.005480677 0.0031198536 0.0032168862 0.0023408725 0.0027432102 0.0037318238 0.004085796 0.010674941 0.0066184667 0.0030980892 0.0035865773 0.002709808 0.0028032132 0.0033095356 0.0024374519 0.0021327515 0.0032779472 0.002558667 0.0022872176 0.0019296178 0.002977781 0.0024610297 0.0022380967 0.0022364343 0.0056024967 0.0017243683 0.0021619217 0.0015915153 0.008623504 0.0022238896 0.0016224992 0.0013412257 0.0034399703 0.0019235722 0.0017110679 0.0023260608 0.0019315827 0.001360874 0.0017589796 0.0012806181 0.0033248009 0.0016279403 0.0018838221 0.0029576793 0.0021856509 0.0016057226 0.0013353312 0.0016054203 0.002539472 0.0018508733 0.0018016014 0.0021779425 0.0016964072 0.0017007902 0.001449745 0.0018345502 0.0047514215 0.0069172727 0.0025166497 0.0030191937 0.006640382 0.004363593 0.0019870515 0.002101163 0.023175515 0.0047224024 0.0018960645 0.001762607 0.0055489927 0.00251272 0.002145145 0.0023780533 0.0037992327 0.0021721993 0.002441986 0.002690462 0.0027658814 0.0028039687 0.0023448023 0.0023305952 0.0029277534 0.0018040197 0.0015346863 0.002075469 0.002720539 0.002024988 0.0022399104 0.0026705114 0.0031458498 0.0028387313 0.0022604656 0.0028147 0.0033081754 0.0035289924 0.0037538903 0.0021827791 0.002872738 0.0026748944 0.00169414 0.0016882456 0.002537507 0.0021267058 0.002757115 0.0025654682 0.0035909603 0.0015656701 0.0028420563 0.0030255415 0.006519923 0.0039041245 0.0021994046 0.002056274 0.0020142568 0.002006851 0.0015535789 0.0016788748 0.0026442127 0.0019627176 0.0014837517 0.0018856358 0.0037389274 0.0024560422 0.0023570447 0.005806386 0.0033107449 0.0051049404 0.0019541027 0.002036928 0.003316337 0.008540981 0.0025086391 0.01750682 0.0022831368 0.007629298 0.002102221 0.0018856358 0.0028893636 0.0021309378 0.0019479059 0.002041462 0.0021743153 0.0020641333 0.0019166197 0.002116277 0.002156934 0.0018130881 0.002124892 0.0019456388 0.0020783406 0.002043427 0.0019102718 0.0017012437 0.0021221715 0.0014982612 0.0014863211 0.0016324745 0.0015346863 0.0013859635 0.0015479866 0.0014796709 0.001780895 0.001684316 0.0015020398 0.0015792729 0.0018285045 0.001607234 0.0013731165 0.0015272803 0.0017053245 0.001130535 0.0013957877 0.001288024 0.0015466264 0.0013598161 0.002776159 0.0022683248 0.0027463841 0.0016045134 0.0018811015 0.0014890417 0.001421935 0.0012135116 0.0014313058 0.0013161363 0.0065741823 0.0036029005 0.002466622 0.004677211 0.0034023363 0.003139653 0.004923571 0.0050493204 0.003958233 0.0052228305 0.0032965376 0.0040413607 0.018549995 0.0037090015 0.0041485196 0.004926745 0.0042769895 0.0031444896 0.0023966436 0.0020803055 0.0016149422 0.0016775145 0.0017863361 0.0015098992 0.0018960645 0.0014331195 0.0013519567 0.0014751367 0.0015779126 0.0011263031 0.0009680585 0.0011423241 0.0020700279 0.0011450446 0.0011291748 0.0011716455 0.0010812631 0.0012484251 0.0009889159 0.0010282126 0.0051029753 0.0026816956 0.0012026294 0.0027867388 0.0017307162 0.0010177839 0.0011922007 0.0009444805 0.0019888652 0.0011894801 0.0011852481 0.0009094157 0.001311451 0.0009830215 0.0019589392 0.0013871726 0.0023277234 0.0020469034 0.0014618363 0.0011660532 0.001067207 0.001332913 0.0016515183 0.01701289 0.029032703 9.826093e-07 1.814048e-06 4.0060227e-06 7.1806066e-06 4.081608e-06 2.9629451e-05 1.3227434e-05 9.826093e-07 2.3431453e-06 4.6862906e-06 2.26756e-07 0.0 3.0234133e-07 0.0 0.0 0.0039683054 2.819333e-05 2.751306e-05 1.6628774e-05 1.6477603e-05 1.715787e-05 3.1821426e-05 1.1262215e-05 6.0468265e-06 6.8026798e-06 1.4058872e-05 4.610705e-06 7.860875e-06 5.0642175e-06 5.971241e-06 1.1791312e-05 0.004948043 5.6008732e-05 5.5328463e-05 2.736189e-05 1.844282e-05 2.8420085e-05 4.6560566e-05 1.9501016e-05 1.5570578e-05 1.6326432e-05 8.087631e-06 5.5177293e-06 1.3832116e-05 1.8896333e-05 2.6530452e-05 0.00011352917 0.0041467627 7.074787e-05 4.79211e-05 4.391508e-05 1.7233457e-05 3.3408716e-05 4.807227e-05 2.3507038e-05 2.0634796e-05 1.602409e-05 1.5419408e-05 1.13378e-05 2.0030113e-05 3.242611e-05 5.1398027e-05 0.0001999232 0.004159007 0.00014542618 8.805691e-05 4.391508e-05 4.293247e-05 2.9931793e-05 7.452714e-05 2.8117744e-05 2.5169917e-05 1.3076263e-05 2.0181284e-05 2.0030113e-05 4.2856882e-05 3.499601e-05 5.7747195e-05 0.0002823868 0.01221527 0.0005369582 0.00053975487 0.00022554664 0.0005369582 0.00045169794 0.00045577955 0.00012705894 0.00010725559 0.00015729308 0.00012811714 6.213114e-05 9.810976e-05 7.558533e-05 8.699872e-05 0.00029455606 0.016471481 0.0008538119 0.0008793598 0.0004220685 0.00067429675 0.00048268793 0.0012562282 0.0006467837 0.00021806368 0.00029825972 0.00019228908 0.00013764089 0.00024625703 0.00014179808 0.0002344657 0.00021912188 0.018384015 0.0010758061 0.0012501813 0.000591682 0.0009807952 0.0005614479 0.003129762 0.0016117817 0.0002097493 0.000226756 0.00018291651 0.00014308303 0.0005971241 0.00019803357 0.00032017948 0.00025804833 0.025785105 0.0016233462 0.002104598 0.0015049796 0.00207837 0.0014477614 0.004351977 0.0025541796 0.00031662695 0.0003024169 0.00033023232 0.00024466973 0.0014869903 0.00042017887 0.00031473732 0.0006446673 0.066343665 0.005220603 0.0036624873 0.0031485825 0.004018343 0.004595966 0.004988632 0.004348349 0.0030767766 0.0031962013 0.003787959 0.0030031565 0.0067196875 0.0039681545 0.004071555 0.0037136585 0.031450603 0.005281223 0.0028551603 0.0024453367 0.0021946202 0.0020328676 0.0018694521 0.0017980995 0.0013628792 0.0011680957 0.001538086 0.0012278837 0.0048729107 0.0019836614 0.0011047552 0.0041518267 0.021479916 0.0041476698 0.0026051241 0.0021515365 0.002087667 0.0017940934 0.0017317355 0.0015062646 0.0026794244 0.0018172981 0.0037546258 0.0018296186 0.0070951195 0.002638306 0.0014055849 0.0030407223 0.024080882 0.004769132 0.003984027 0.0033471454 0.005887417 0.003806931 0.0035841053 0.0029267396 0.0055133454 0.0032855433 0.0017650687 0.002310719 0.012224643 0.004079265 0.0022689204 0.002853422 0.072643176 0.01844524 0.018415459 0.013829395 0.049037118 0.018534506 0.015456823 0.018600114 0.04923659 0.016618343 0.007813332 0.011703255 0.03934519 0.011478238 0.012735146 0.018987337 0.011956088 0.004327638 0.0040212907 0.0036609755 0.008778329 0.005454389 0.005543126 0.006622409 0.009696313 0.0058804634 0.0059651188 0.005824757 0.0088889105 0.0043389006 0.0037934766 0.0041642226 0.0002097493 8.132982e-05 8.3975305e-05 0.00010710442 6.681743e-05 7.00676e-05 0.00014399007 9.5993375e-05 5.8729802e-05 4.746759e-05 4.79211e-05 4.663615e-05 3.998464e-05 4.565354e-05 4.5200028e-05 4.776993e-05 7106.0 10.523783 74782.0 0.016661763 0.0008558209 0.001056404 0.0012971036 0.029445589 0.001390709 0.0010029151 0.0010029151 0.004185499 0.0025006018 0.00045465486 0.0022197855 0.0017651307 0.0014843144 0.004813993 0.0018319916 0.014950122 0.005509347 0.005696558 0.011139045 0.0025006018 0.0016180364 0.0012971036 0.0008023321 0.0048674815 0.010523923 0.013920462 0.009347169 0.0014441978 0.0013372202 0.001256987 0.012422776 0.013599529 0.10241769 0.003650611 0.011486721 0.018533872 0.012957663 0.0028616511 0.0030221175 0.04129336 0.0070337784 0.00046802708 0.0008157043 0.008531465 0.003182584 0.00492097 0.0023133908 0.0071006394 0.0007488433 0.0040116603 0.015645476 0.015899548 0.017637935 0.026918242 0.030996764 0.0032093285 0.00045465486 0.001056404 0.0043192212 0.02417694 0.016648391 0.024337407 0.0328555 0.0023267632 0.016314086 0.0048674815 0.023802519 0.014054184 0.03887299 0.014762911 0.0036372389 0.005897141 0.019710626 0.0006953545 0.003383167 0.013840229 0.010042524 0.022211228 0.024123453 0.015217566 0.0022732744 0.023227515 0.027466502 0.036158435 0.014214651 0.0033965393 0.0035436335 0.004305849 0.004573293 0.0015779198 0.00145757 0.0062581906 0.0007488433 0.0006552379 0.0026744404 5.7292776 2.0 20.0 0.0 26.0 6616336.0 6930432.0 1.0 24.0 364.0 1.0 1.0 1.0 0.0 0.0 1541205800.0 0.0 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 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 6.0 1.0 12.0 10.0 6.0 0.0 6.0 0.0 1975296.0 1024.0 4096.0 8.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 944640.0 0.0 0.0 0.0 -512.0 64000.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 -3585536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1975296.0 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 -5.4657393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3476467 0.0 0.0 0.0 -2.25 6.2779894 0.0 0.0 0.0 0.0 0.0 0.0 -5.1840096 0.0 0.0 0.0 0.0 0.0 -6.7184296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.441611 0.0 4.111346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 944502.0 0.0 0.0 0.0 -16.0 63888.0 0.0 0.0 0.0 0.0 0.0 0.0 -3290.0 0.0 0.0 0.0 0.0 0.0 -3895648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1974963.0 0.0 1720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 3.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 2.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 2.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 1.0 2.0 1.0 0.0 -1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 0.0 2.0 0.0 -1.0 0.0 0.0 -3.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 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 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 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 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 1.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 2.0 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 1.0 0.0 0.0 1.0 1.0 2.0 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 1.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 2.0 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 3.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 2.0 -2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 -1.0 1.0 -1.0 2.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1027.0 2914368.0 420.0 2915396.0 1720.0 6901760.0 63888.0 6828032.0 16144.0 6600192.0 23508.0 6905856.0 84.0 2698960.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 2699056.0 0.0 0.0 4776.0 1982464.0 160.0 2913620.0 0.0 0.0