Input: 0.056709673 0.008297208 0.0061679916 0.00565097 0.0057504373 0.0049692066 0.0041952287 0.005416808 0.005041735 0.0056343926 0.0037455552 0.0044604745 0.004947448 0.0031736197 0.004331996 0.004638686 0.0050500236 0.0037610969 0.004936051 0.0041558566 0.004355827 0.0031725836 0.0041092313 0.0038470943 0.005071782 0.0033435426 0.0031611864 0.0029290966 0.004148604 0.0034419734 0.0037859636 0.0037880358 0.006163847 0.0038191192 0.0034844542 0.003023383 0.004881137 0.004161037 0.003836733 0.0037258689 0.004728828 0.0038947556 0.0033342175 0.0030959111 0.0043641157 0.003708255 0.0037258689 0.0035932462 0.0055162753 0.0039558862 0.003112489 0.002895941 0.0036782075 0.0030751887 0.0026856095 0.002851388 0.0041734707 0.003311423 0.0035258988 0.003347687 0.0039942227 0.0032274977 0.0035113932 0.0034554428 0.0065938346 0.0039579584 0.003618113 0.0032233533 0.0041537844 0.0032181726 0.0035497295 0.003067936 0.005002362 0.0037797468 0.0037051465 0.0035839211 0.004135134 0.0031280306 0.003547657 0.0034595875 0.005168141 0.0036326186 0.0036533407 0.0033383619 0.0039216946 0.0033787703 0.0033611564 0.0035321154 0.004643867 0.0036471242 0.0038046136 0.0035155376 0.004106123 0.0033932761 0.003692713 0.0037911441 0.005908963 0.0036305464 0.0033435426 0.002950855 0.0040118364 0.0030565388 0.0032565088 0.003032708 0.0049588457 0.0031632585 0.0032098838 0.0030534305 0.0035808128 0.0028358463 0.0030928028 0.0031912336 0.0045091715 0.003275159 0.0032264616 0.0031466808 0.0038926834 0.0033445787 0.0032896646 0.0036305464 0.004621072 0.0032917368 0.0034772013 0.0031777641 0.004034631 0.0031984865 0.003474093 0.0033445787 0.008646378 0.0045972415 0.0040128725 0.0035300432 0.0043796576 0.0034357568 0.0030202747 0.0033953483 0.004538183 0.003825336 0.0029539634 0.003194342 0.003726905 0.0028006183 0.0028493158 0.0029871191 0.0052375603 0.0032015948 0.0034948152 0.0030295998 0.0036668102 0.0031860531 0.0033103868 0.0032679061 0.0045402553 0.0028451714 0.003040997 0.002708404 0.0035113932 0.0032285338 0.0029871191 0.0031518613 0.0050044344 0.003409854 0.0032782673 0.00279751 0.003780783 0.0030275276 0.0030669 0.0031974504 0.004143423 0.0030005886 0.0031238862 0.0030150942 0.0036398713 0.0028410268 0.002913555 0.0030430693 0.0046676975 0.003120778 0.0038429499 0.0028586409 0.003563199 0.0031446086 0.002996444 0.0031259584 0.0042511793 0.0031477169 0.0033321453 0.0031746558 0.0036533407 0.0031870892 0.0033248924 0.0033632286 0.0067181685 0.0040594977 0.0037196523 0.0033383619 0.0041185566 0.0032502923 0.0033041702 0.0032326782 0.004340285 0.0033269646 0.0031197418 0.0030803694 0.0036419437 0.0029891913 0.0030700082 0.0027944017 0.0042542876 0.003275159 0.0030896943 0.002996444 0.0037165438 0.0030088774 0.0029311688 0.0029467104 0.0039838613 0.0031093806 0.0027311987 0.0026420928 0.0035321154 0.0029446383 0.003574596 0.0028814352 0.0049515925 0.0032430394 0.0033870593 0.0029757218 0.003809794 0.0030710443 0.003195378 0.0029011215 0.004439752 0.0054541086 0.0034689123 0.003140464 0.003789072 0.0030658639 0.0032420033 0.003183981 0.0046086386 0.0033155675 0.0034274678 0.0030430693 0.0037414106 0.0030834777 0.0033083146 0.0032409672 0.004350646 0.0030306359 0.0031891614 0.0028627852 0.004014945 0.0030990194 0.0042200955 0.0045174607 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09918544 0.06202158 0.06243358 0.055311732 0.060602915 0.05956668 0.05494591 0.05448409 0.06048357 0.05317544 0.052163072 0.0529575 0.05642113 0.050528027 0.056626614 0.05383236 4023.0 5.7032065 22944.0 0.017172245 0.010460251 0.009327057 0.008586123 0.013423989 0.012465132 0.011724198 0.011506276 0.01263947 0.009719317 0.008498954 0.008586123 0.013859833 0.010503835 0.011854951 0.009893654 0.016867155 0.01194212 0.008716876 0.0074965134 0.009806485 0.008542539 0.0078451885 0.008324617 0.010242329 0.008411786 0.009544979 0.008804045 0.011506276 0.008978382 0.009675732 0.009239889 0.018087517 0.010896095 0.010373082 0.00915272 0.010808926 0.008978382 0.010765342 0.008324617 0.014208508 0.011593445 0.009762901 0.008978382 0.011419107 0.009370642 0.011637029 0.009588564 0.014775105 0.009675732 0.009937239 0.009109136 0.012116457 0.009370642 0.009544979 0.009806485 0.013685495 0.009196304 0.01054742 0.009588564 0.011114017 0.009806485 0.010460251 0.010678173 0.017956764 0.010983263 0.009675732 0.008193864 0.0131188985 0.008324617 0.009370642 0.008324617 0.01542887 0.009283473 0.008891214 0.008716876 0.011375523 0.008019526 0.009937239 0.0078451885 0.0131624825 0.0079323575 0.008673292 0.008804045 0.011462692 0.009414226 0.008150279 0.0078887725 0.010896095 0.008847629 0.011898535 0.008586123 0.01124477 0.00915272 0.010111576 0.008804045 6.554531 0.0 0.0 0.0 14.0 965144.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13596499 0.011424833 0.013401661 0.011420093 0.0078030187 0.0028253945 0.003849363 0.0031382737 0.010457752 0.002047937 0.00223282 0.0028680598 0.009618667 0.0023797785 0.0015406932 0.011927336 0.021266308 0.0016781705 0.0017397982 0.0015880992 0.003636036 0.0042475727 0.0018914973 0.0012088517 0.0030624242 0.0013321071 0.0010381902 0.0014174378 0.0024982933 0.0014126973 0.0011045586 0.001426919 0.0052668005 0.0011424833 0.0010002655 0.0020668993 0.004095874 0.0028490974 0.0009054536 0.00095760013 0.0016070616 0.00090071297 0.000853307 0.002910725 0.0012609982 0.00092441594 0.0013415883 0.0008722694 0.0036170736 0.0018203884 0.0022517825 0.011168841 0.0024840715 0.0029723528 0.0020953428 0.0018203884 0.0031619766 0.0036170736 0.002303929 0.006513577 0.002607327 0.0025314775 0.0017682418 0.0014221783 0.0033041944 0.0021143053 0.0013273665 0.0017635012 0.0031003489 0.013231 0.0028917626 0.0018061666 0.0024888122 0.0014316596 0.0009528595 0.0009433783 0.0017635012 0.0058309315 0.0013321071 0.0011045586 0.010509898 0.0030624242 0.0013605506 0.0058641154 0.0020526776 0.0058451532 0.006186476 0.005323688 0.0017113547 0.007523324 0.001076115 0.0021474895 0.0012325546 0.0049396995 0.0031382737 0.0027211013 0.0019104596 0.004020024 0.0015738774 0.0019483845 0.00223282 0.004678967 0.0023892596 0.0010429309 0.003754551 0.011913114 0.006674757 0.0013178854 0.0022660042 0.0013795131 0.0024840715 0.0024745904 0.003171458 0.00077271694 0.003498559 0.0027211013 0.01148172 0.016843332 0.0021380081 0.0015975804 0.0023560754 0.0013558101 0.0008248635 0.0008248635 0.002047937 0.005228876 0.0017397982 0.0013700319 0.0034179688 0.0023845192 0.00096234074 0.014610513 0.0029723528 0.015402192 0.0010381902 0.0009955249 0.002446147 0.011439055 0.0021664517 0.034478344 0.001403216 0.012500948 0.0008248635 0.0007916793 0.0013036635 0.0007063486 0.0006210179 0.0006020555 0.00127522 0.0012657387 0.0006257585 0.0006020555 0.0012989229 0.00077271694 0.0005688714 0.0006020555 0.0011235209 0.0012657387 0.0006115367 0.0013510694 0.0014980279 0.001626024 0.0006304991 0.0011851487 0.0011898893 0.0012183328 0.0006589427 0.0006542021 0.0012088517 0.00068264565 0.0006115367 0.0009955249 0.001204111 0.00066842383 0.00058783375 0.00068264565 0.0012609982 0.000725311 0.0006210179 0.00063998025 0.0011993705 0.00263103 0.003801957 0.0015691369 0.0016876517 0.0009054536 0.0006921268 0.0008864912 0.0014932873 0.0014790655 0.001227814 0.0010239684 0.009239419 0.0062386226 0.0024745904 0.0066036484 0.0051293233 0.0012183328 0.003086127 0.0045746737 0.0034938182 0.0033705628 0.001426919 0.0015406932 0.003124052 0.0010381902 0.0012230735 0.0019578657 0.0024745904 0.0014932873 0.0024840715 0.0013984754 0.002104824 0.00074427336 0.0017824636 0.0013226259 0.00319042 0.0011092991 0.0011140398 0.0018061666 0.0020526776 0.00077745755 0.0010571526 0.0010666338 0.0037261073 0.0011472239 0.00092915655 0.0008153823 0.0031856797 0.0014316596 0.0010998179 0.001052412 0.020019531 0.003332638 0.0011187803 0.0056934543 0.0062765474 0.00073953276 0.0011614457 0.0016118021 0.0055607175 0.0013273665 0.0022375607 0.002223339 0.0037687728 0.0010571526 0.0049634026 0.0025172557 0.007447474 0.0022707449 0.0017872042 0.004152761 0.006911787 0.004105355 0.0043234224 0.06603175 0.004878049 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01229516 0.00033584223 0.00014291158 4.7637195e-06 9.289253e-05 6.6692075e-05 0.00135766 9.765625e-05 3.3346038e-05 1.1909298e-05 5.4782773e-05 5.4782773e-05 9.527439e-06 1.4291159e-05 7.1455793e-06 5.4782773e-05 0.0013004955 9.051067e-05 2.1436737e-05 3.3346038e-05 5.7164634e-05 1.9054878e-05 0.00332984 2.3818597e-05 0.0 0.0 0.0 0.0 0.0 0.0 2.3818598e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014936643 0.00039777058 0.0003310785 0.0010861281 0.00055973703 0.00047637196 0.003989615 0.00031678734 0.000390625 0.00022627668 0.0002429497 0.00021913109 0.0003191692 0.0002667683 0.00032155108 0.00030964176 0.010632622 0.00055259146 0.00055259146 0.00032869665 0.0003787157 0.0003310785 0.00044064404 0.00038824315 9.527439e-05 8.336509e-05 8.8128814e-05 7.145579e-05 0.0002310404 0.00019293065 6.192835e-05 0.00020483993 0.0026724467 0.00016196647 5.2400916e-05 3.3346038e-05 3.8109756e-05 3.8109756e-05 6.431021e-05 3.8109756e-05 2.3818597e-05 3.5727895e-05 3.3346038e-05 5.2400916e-05 5.9546495e-05 0.000116711126 6.192835e-05 0.0013957698 0.017439976 0.0009765625 0.0023723324 0.0008050686 0.002748666 0.0019959984 0.0125 0.006388148 0.00071455794 0.00034536966 0.00033584223 0.00040015244 0.00035013337 0.0003191692 0.00028820502 0.0008003049 0.006483422 0.0007097942 0.00093607086 0.0009289253 0.00028820502 0.0004978087 0.0022794397 0.0007860137 0.00019769436 0.00016196647 0.00011909299 0.00012147485 0.0003024962 0.00012147485 0.00042873475 0.00027153202 0.01128287 0.0012671493 0.0011552019 0.012273723 0.001443407 0.001579173 0.0022937309 0.0016744474 0.0013528963 0.0010861281 0.00093130715 0.00091463415 0.0011552019 0.001171875 0.0012242759 0.0030964178 0.007136052 0.0010313452 0.000645484 0.0020317263 0.0010718369 0.0016720656 0.00061690167 0.0012099848 0.0047017913 0.00044064404 0.00050495425 0.0011051829 0.001476753 0.0006335747 0.0017697217 0.008098323 0.063305065 0.015798876 0.008812881 0.013040682 0.016465796 0.020569742 0.0071574887 0.018028297 0.046512958 0.0038443217 0.0030178162 0.0072646723 0.020564977 0.0081554875 0.019362139 0.04517197 0.07108422 0.02466654 0.009151105 0.017042207 0.01766149 0.03300781 0.012938262 0.024356898 0.049685594 0.0037442835 0.0053591845 0.0070241042 0.026791159 0.010442073 0.025469227 0.05669779 0.0063238377 0.0047661015 0.004873285 0.0047637196 0.004754192 0.0047137006 0.0051996 0.0049018674 0.0046255714 0.004630335 0.0046660635 0.0047017913 0.004720846 0.004658918 0.0045922254 0.0051567266 1026.0 14.420078 14795.0 0.030753633 0.0022304833 0.002365664 0.0019601216 0.0043257857 0.017032782 0.0022980736 0.002365664 0.0027036162 0.0019601216 0.0024332544 0.0022304833 0.0031091585 0.003176749 0.008989523 0.0020953026 0.01858736 0.0066238595 0.010273742 0.011355188 0.008719162 0.0070969923 0.009530246 0.006556269 0.01655965 0.0069618113 0.009124705 0.009124705 0.0070294016 0.0070294016 0.007840486 0.0059479554 0.003176749 0.01007097 0.002500845 0.007367354 0.006353498 0.004731328 0.0072997636 0.006218317 0.0070969923 0.0052720513 0.0022304833 0.0022980736 0.005677594 0.004528557 0.0037850626 0.003920243 0.013315309 0.004190605 0.005880365 0.026360257 0.0075025344 0.004055424 0.01507266 0.012504225 0.0032443393 0.0041230144 0.0037850626 0.002838797 0.0035147008 0.0027036162 0.002365664 0.0035147008 0.0027712064 0.026089896 0.0054748226 0.016018925 0.016018925 0.05231497 0.00669145 0.0066238595 0.01182832 0.16120312 0.006826631 0.0060831364 0.020750254 0.010408922 0.02696857 0.02669821 0.013112538 0.0014193985 0.028523149 0.02000676 0.03913484 0.014126394 0.004731328 0.00500169 0.013991213 0.0064886785 0.00337952 0.0014193985 0.0017573504 0.0019601216 0.0029739777 0.0033119298 5.7052712 0.0 0.0 0.0 4.0 210944.0 274432.0 0.0 1.0 214.0 1.0 0.0 0.0 0.0 0.0 1536184400.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 151040.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.693504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.8245893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0371249 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7770.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41377.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150538.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 2.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81.0 196944.0 160.0 192116.0 0.0 0.0 0.0 0.0 0.0 0.0 5824.0 266240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 190656.0 0.0 0.0 884.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.32103467 0.006756795 0.004581788 0.0037507915 0.004988807 0.0031346101 0.0021283692 0.0021933792 0.0052686324 0.0016987382 0.0017411361 0.0013963006 0.0033211606 0.0013977139 0.0011616995 0.0039005969 0.003161462 0.0012578012 0.0013581426 0.001055705 0.0021410885 0.002159461 0.005901773 0.0013736885 0.002279588 0.0018358245 0.0017439625 0.0020435737 0.0024887505 0.0022386035 0.0020972774 0.0027629228 0.004068775 0.002449179 0.003209513 0.0033918235 0.0046044 0.004009418 0.0040193107 0.0044319825 0.005424091 0.0050439243 0.005863615 0.006168879 0.009768452 0.005583789 0.005616294 0.0063455366 0.008202559 0.0059385174 0.005658692 0.0072980733 0.0053392956 0.005248847 0.00506371 0.005108934 0.0063794544 0.0067808204 0.006567418 0.0065306732 0.005137199 0.0046750633 0.0039868057 0.003951474 0.0060798437 0.004971848 0.004737247 0.006861376 0.006255088 0.006556112 0.0040786676 0.0035600013 0.0037465517 0.0029141416 0.0028208664 0.002856198 0.0030215494 0.004309029 0.0035388025 0.0027841218 0.004957715 0.0031925538 0.0026950864 0.0032165793 0.0027883616 0.0031529826 0.0038115615 0.002911315 0.0020958642 0.002981978 0.0018923548 0.0019177935 0.0018838752 0.0027374842 0.002470378 0.0020138952 0.001621009 0.0021863128 0.0014514178 0.0018655029 0.0019700842 0.0032236455 0.0020153085 0.0058523086 0.0067257034 0.0018739825 0.0027176985 0.0010811437 0.0017482024 0.0011221282 0.0017340698 0.0020068288 0.0019333394 0.00094123103 0.0022230577 0.0018103857 0.004922384 0.005559764 0.0014938156 0.0010698376 0.0011758321 0.0009270984 0.00075044093 0.00066423207 0.0009751492 0.0016422078 0.0011348476 0.00092992495 0.001903661 0.0011560465 0.00080838456 0.0047217007 0.001327051 0.0042129275 0.0006430332 0.00060911494 0.001158873 0.004108346 0.0009341647 0.015931677 0.0006712984 0.0037507915 0.0005469315 0.00052431936 0.0013129184 0.00043669727 0.0005101868 0.0005539978 0.0006359669 0.00050453376 0.0003688608 0.00037168732 0.0005525846 0.00057802326 0.00045789615 0.0004988807 0.00058508955 0.0004889879 0.0004211514 0.00059922214 0.00074337464 0.0007009769 0.0005299724 0.0006345536 0.0005031205 0.0008564354 0.00038016686 0.00031515694 0.00067977794 0.0004494166 0.00038016686 0.0004140851 0.00052573264 0.0003405956 0.00039853927 0.00036320777 0.0007165227 0.00065575255 0.00045506965 0.00046778898 0.0004960542 0.0005130133 0.00095112383 0.00064444647 0.0011843117 0.00049746747 0.00043669727 0.00040560556 0.000544105 0.00044517682 0.00066705863 0.0004465901 0.0031558091 0.0013298774 0.0016803659 0.0019983493 0.0009793891 0.00038864644 0.0012464952 0.0014174995 0.0011108222 0.0010458123 0.0006373802 0.00052573264 0.00589188 0.0003448354 0.0007207625 0.00051583984 0.0008182774 0.0005624774 0.0008253437 0.0005568243 0.00045930943 0.0003123304 0.00051583984 0.0004847481 0.00081403763 0.0004494166 0.0004253912 0.0006359669 0.000652926 0.00029537128 0.0003787536 0.00029678456 0.0012224697 0.00037027407 0.0004988807 0.00039288623 0.00088752713 0.00053138565 0.00039147295 0.00033635582 0.010325276 0.0015277338 0.000505947 0.0017453758 0.0021425018 0.00032787627 0.00042397794 0.00035896798 0.0017764675 0.0008578487 0.00080414483 0.00059356913 0.00087763433 0.00036603428 0.0015164277 0.0008465426 0.0015899172 0.00065151276 0.00059074257 0.0007688133 0.0022781747 0.0017213504 0.0017411361 0.10254896 0.011472486 7.8549594e-05 0.0 7.07654e-07 0.0 0.0 0.0 7.07654e-07 7.07654e-07 0.0 0.0 0.0 1.415308e-06 0.0 0.0 3.9628623e-05 0.0134928385 0.00080177194 2.9013814e-05 8.491847e-06 9.199502e-06 2.0521966e-05 2.830616e-06 3.53827e-06 7.784194e-06 0.0 0.0 0.0 1.2737772e-05 0.0 4.953578e-06 9.9071556e-05 0.010289997 0.0006460881 0.00038354847 3.5382698e-05 4.3166892e-05 5.1658742e-05 4.953578e-06 4.953578e-06 5.661232e-06 7.07654e-07 0.0 7.07654e-07 4.2459237e-06 7.07654e-07 2.1229619e-06 0.00012030118 0.02282821 0.0008796139 0.0008159251 0.0006970392 0.00025617075 9.057971e-05 7.784194e-06 4.245924e-05 4.1751584e-05 3.53827e-06 1.415308e-06 3.53827e-06 4.387455e-05 1.415308e-06 3.9628623e-05 0.0017832881 0.021996008 0.0006673177 0.0005944293 0.0006821784 0.00079398777 0.00042813068 0.0003800102 0.00022149569 5.661232e-05 1.5568388e-05 1.6276043e-05 1.061481e-05 5.3781703e-05 4.2459237e-06 3.9628623e-05 0.0015759454 0.040336277 0.0011640908 0.0009815161 0.0010444972 0.0011980582 0.0007550668 0.0009716089 0.00084493886 0.000799649 0.00073596014 0.0006085824 0.0005937217 0.00016629869 1.3445426e-05 2.2644928e-05 0.00048828125 0.0069038724 6.227355e-05 6.1565894e-05 0.00083007815 0.0011499377 0.00020026608 4.5289857e-05 3.2552085e-05 4.45822e-05 4.8828126e-05 2.4767889e-05 2.9721466e-05 1.9106657e-05 7.784194e-06 1.4860733e-05 0.00066944066 0.020340098 0.00035453466 0.00044299138 0.0018568841 0.0026211503 0.00082370924 0.0006581182 0.0004394531 0.00023777173 0.0003736413 0.00014082315 0.00013374661 0.00016346807 0.00012242414 0.00024272532 0.002932518 0.016455078 0.0003290591 0.00047625112 0.0025659534 0.0017578125 0.001713938 0.0012971298 0.00075152854 0.00048332766 0.00019672781 9.765625e-05 7.99649e-05 5.0951086e-05 5.0243434e-05 0.00013303895 0.0025468466 0.10238904 0.010551829 0.0536147 0.06440146 0.03252944 0.01431301 0.0071954257 0.0029424252 0.00065316464 0.00015709919 0.00015497622 0.00013233129 0.00016063746 0.00019460484 0.0001754982 0.058260445 0.027561 0.0022942142 0.0068302765 0.006260615 0.00654863 0.0057433196 0.0060369964 0.0037052762 0.0013063293 0.0003028759 0.00016205276 0.0001754982 0.0001953125 0.00019814311 0.00015922215 0.009331834 0.010716712 0.0009192425 0.00088952103 0.00083998527 0.002176036 0.0016438802 0.002378425 0.0018193783 0.001075634 0.00032481318 0.00019106657 0.00020805027 0.00039487093 0.00013445425 0.00027740037 0.0020974865 0.0015002264 0.00012242414 0.00017479053 0.00016842165 0.00040053215 0.00021371151 0.00039557857 0.0003892097 0.0009659477 8.845675e-05 0.00011251698 0.00019460484 0.00033259738 0.00013020834 0.00033330504 0.0017238451 0.01783288 0.0029254416 0.0017953182 0.0030252207 0.0047313743 0.00534208 0.0024343296 0.004703776 0.010815076 0.0010763417 0.0010437897 0.0018582994 0.0045183706 0.0014216768 0.0045466768 0.011639493 0.024341881 0.006223109 0.00460612 0.0050179744 0.009675753 0.008589504 0.0054248753 0.007833022 0.016010672 0.0020076144 0.0021930197 0.0029884228 0.008827983 0.0029997453 0.0080071045 0.015687982 0.01962183 0.007899541 0.008311396 0.00445822 0.005229563 0.004833277 0.011985536 0.0044426518 0.010558197 0.0035503001 0.0034738735 0.0031221693 0.008059471 0.0032155798 0.008010644 0.0106190555 1406.0 11.01138 15482.0 0.028161736 0.0019377342 0.0026482367 0.0020023254 0.0043276064 0.0059423847 0.003294148 0.0062007494 0.00568402 0.0049089263 0.0066528874 0.0063945227 0.014726779 0.0058132024 0.011174267 0.0054256557 0.008719804 0.0058132024 0.0063945227 0.0058777938 0.0040692417 0.0044567883 0.0052964734 0.0031003747 0.0044567883 0.0049089263 0.0036171037 0.0040692417 0.0049735177 0.0034233304 0.0048443354 0.0072342074 0.014855961 0.020281617 0.0043276064 0.016406149 0.01078672 0.011432632 0.009236533 0.0098824445 0.007815528 0.010463764 0.0036816949 0.003294148 0.00852603 0.008784395 0.0054256557 0.0062653404 0.014016277 0.0067174784 0.007750937 0.021185894 0.00852603 0.0048443354 0.015824828 0.012336907 0.0021315075 0.002777419 0.0021960987 0.0031649657 0.007105025 0.0049089263 0.006071567 0.00794471 0.0047797444 0.028743057 0.009042759 0.025836455 0.017245835 0.06394523 0.007750937 0.017310426 0.016793696 0.03190802 0.004263015 0.0034233304 0.027515825 0.0118201785 0.030357836 0.040627826 0.015372691 0.0017439608 0.03701072 0.024738407 0.04986436 0.016987469 0.007105025 0.0050381087 0.008073892 0.008073892 0.0022606899 0.0012918228 0.0013564139 0.0011626405 0.0011626405 0.001873143 6.024383 1.0 0.0 0.0 5.0 707584.0 765952.0 1.0 0.0 239.0 0.0 1.0 0.0 0.0 0.0 1258376300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 234496.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29696.0 0.0 0.0 0.0 0.0 0.0 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 -234496.0 0.0 434176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1947575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9833343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8411646 0.0 4.443802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29550.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -234132.0 0.0 433992.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 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 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 265688.0 433992.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 242800.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 256056.0 0.0 0.0 992.0 241664.0 0.0 0.0 0.0 0.0


Input: 0.46633732 0.02389706 0.014361213 0.009995405 0.007467831 0.003102022 0.004365809 0.0025275736 0.003102022 0.0011488971 0.01183364 0.0017233456 0.0013786765 0.0011488971 0.0036764706 0.00057444855 0.001953125 0.0026424632 0.0022977942 0.001953125 0.0010340074 0.00057444855 0.0014935662 0.00080422795 0.0010340074 0.0020680148 0.00068933825 0.00080422795 0.00080422795 0.0011488971 0.0010340074 0.0012637868 0.01551011 0.0020680148 0.0010340074 0.0010340074 0.00068933825 0.00080422795 0.0012637868 0.00057444855 0.0024126838 0.00057444855 0.0022977942 0.00034466913 0.00080422795 0.00045955883 0.011029412 0.00034466913 0.0028722426 0.00068933825 0.00080422795 0.00045955883 0.00057444855 0.0011488971 0.00045955883 0.00057444855 0.007352941 0.0018382353 0.0012637868 0.00057444855 0.00034466913 0.00068933825 0.00034466913 0.00091911765 0.0014935662 0.0024126838 0.0010340074 0.0032169118 0.0024126838 0.00402114 0.001953125 0.0011488971 0.00091911765 0.003102022 0.00022977941 0.000114889706 0.0012637868 0.0022977942 0.002757353 0.00091911765 0.0022977942 0.00022977941 0.0041360296 0.00390625 0.00402114 0.005974265 0.0010340074 0.0034466912 0.00034466913 0.00091911765 0.00022977941 0.0 0.00057444855 0.00022977941 0.00022977941 0.0016084559 0.00057444855 0.014246323 0.0036764706 0.0044806986 0.009420956 0.035730697 0.0017233456 0.008157169 0.0022977942 0.02389706 0.0018382353 0.0016084559 0.010569853 0.0068933824 0.026424631 0.021599265 0.008961397 0.001953125 0.021254595 0.012293198 0.028377756 0.009420956 0.0024126838 0.0025275736 0.0012637868 0.008272059 0.00057444855 0.0024126838 0.000114889706 0.00034466913 0.000114889706 0.00022977941 0.00068933825 0.00068933825 0.00057444855 0.0 0.00045955883 0.00022977941 0.0013786765 0.0 0.000114889706 0.00034466913 0.00034466913 0.0 0.00034466913 0.00022977941 0.00057444855 0.00045955883 0.00045955883 0.00034466913 0.00022977941 0.0026424632 0.000114889706 0.00034466913 0.0 0.000114889706 0.00045955883 0.00022977941 0.00034466913 0.000114889706 0.00022977941 0.00022977941 0.000114889706 0.0 0.000114889706 0.0 0.00045955883 0.000114889706 0.00034466913 0.00045955883 0.00057444855 0.0 0.000114889706 0.0 0.00034466913 0.000114889706 0.00022977941 0.000114889706 0.00022977941 0.00022977941 0.00057444855 0.0 0.0 0.000114889706 0.00022977941 0.000114889706 0.000114889706 0.000114889706 0.00034466913 0.0 0.00045955883 0.00034466913 0.0 0.000114889706 0.000114889706 0.0 0.0 0.0 0.00022977941 0.00022977941 0.000114889706 0.000114889706 0.00034466913 0.0 0.00034466913 0.00022977941 0.0 0.0 0.000114889706 0.00022977941 0.00022977941 0.000114889706 0.00022977941 0.00022977941 0.00022977941 0.0 0.000114889706 0.0 0.0 0.000114889706 0.0 0.0 0.000114889706 0.00022977941 0.00022977941 0.0 0.000114889706 0.0 0.00022977941 0.0 0.000114889706 0.0 0.00022977941 0.0 0.00034466913 0.00022977941 0.000114889706 0.0 0.000114889706 0.000114889706 0.00034466913 0.0 0.00045955883 0.000114889706 0.0 0.0 0.00034466913 0.0 0.00034466913 0.0 0.0 0.000114889706 0.000114889706 0.000114889706 0.000114889706 0.000114889706 0.000114889706 0.00022977941 0.00034466913 0.00068933825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10093471 0.0048828125 0.005231585 0.00718471 0.0020926339 0.0013950893 0.005719866 0.008370535 0.0011858259 0.0010463169 0.0008370536 0.000906808 0.00069754466 0.00062779017 0.00062779017 0.0011160715 0.28180805 0.011579241 0.026506696 0.010881697 0.018066406 0.01890346 0.12046596 0.06780134 0.0035574776 0.0034179688 0.0020926339 0.0013253348 0.0012555803 0.0009765625 0.0013253348 0.0014648438 0.05810547 0.0050223214 0.008440291 0.000906808 0.004813058 0.006766183 0.03738839 0.020786831 0.00013950893 0.0 0.00013950893 6.975447e-05 6.975447e-05 0.0 0.00013950893 6.975447e-05 0.058803014 0.002232143 0.005719866 0.0029296875 0.006626674 0.005859375 0.03341239 0.01876395 0.0023716518 0.002580915 0.0011160715 0.00048828125 0.00062779017 0.00034877233 0.00062779017 0.00034877233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 90.0 18.844444 1696.0 0.004716981 0.00058962265 0.0011792453 0.001768868 0.0 0.00058962265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034198113 0.0 0.0011792453 0.00058962265 0.001768868 0.0 0.00058962265 0.00058962265 0.00058962265 0.001768868 0.0 0.0 0.0 0.0 0.00058962265 0.0 0.00058962265 0.0 0.00058962265 0.008254717 0.00058962265 0.008844339 0.009433962 0.0135613205 0.0029481133 0.0023584906 0.0011792453 0.010023585 0.0 0.0 0.001768868 0.0058962265 0.0041273586 0.0011792453 0.0029481133 0.0 0.010613208 0.012971698 0.0135613205 0.024174528 0.0011792453 0.009433962 0.0 0.00058962265 0.0 0.0 0.0 0.0 0.0 0.006485849 0.00058962265 0.034787737 0.014150944 0.012971698 0.020636793 0.11084906 0.0023584906 0.03360849 0.0029481133 0.08313679 0.0 0.0058962265 0.028301887 0.022995284 0.09139151 0.05070755 0.008844339 0.003537736 0.0495283 0.047759432 0.09492925 0.030070756 0.005306604 0.0058962265 0.0041273586 0.030070756 0.00058962265 0.0 0.0 0.0 0.0 0.0 4.777598 0.0 0.0 0.0 1.0 8704.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 6656.0 512.0 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 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.877391 0.0 2.7273731 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 -6468.0 0.0 1024.0 0.0 0.0 0.0 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 14572.0 1024.0 16384.0 0.0 0.0 0.0 0.0 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: 0.043719493 0.009652509 0.007179332 0.005887883 0.00644242 0.004798083 0.0062185293 0.0070918514 0.0062378044 0.0042865444 0.0055720634 0.0039944486 0.005690681 0.0039010374 0.005073869 0.005320001 0.005907158 0.0041101007 0.004007793 0.003451773 0.0048633227 0.005253278 0.004465954 0.004316199 0.0053585516 0.0039084507 0.0036400785 0.0035822524 0.0047521186 0.0036445267 0.004178306 0.003982587 0.006421662 0.0041323416 0.0034132223 0.003914382 0.004808462 0.0034769792 0.0034754965 0.003973691 0.0041278936 0.0034265667 0.0033435344 0.0040003797 0.0040463437 0.003410257 0.0038535902 0.003239744 0.0048603574 0.0033539135 0.003616355 0.0034221187 0.0040493095 0.0032990528 0.003546667 0.0033553962 0.0044881944 0.0035288746 0.0031626425 0.0038417284 0.0043636463 0.0040478264 0.005007147 0.005711439 0.0084515065 0.0045786407 0.0041857194 0.0041130665 0.0037453517 0.0036608367 0.004237615 0.0042079603 0.0050649727 0.003909934 0.003408774 0.0034117396 0.0037201454 0.0035926315 0.0037527652 0.0036519403 0.0045786407 0.0031834007 0.0035867007 0.0033227764 0.0038165222 0.0035407362 0.003944036 0.003478462 0.0042064777 0.002883891 0.003425084 0.0032619848 0.00395145 0.0029980605 0.0031315053 0.003155229 0.005011595 0.0039573805 0.0031374362 0.0034176705 0.0038091086 0.0033005355 0.0034132223 0.0032486403 0.00390252 0.004258373 0.0032619848 0.003488841 0.0038832447 0.0035867007 0.0034502903 0.003600045 0.004995285 0.003122609 0.003921795 0.0035140472 0.0046468456 0.004261338 0.0034932892 0.0034843928 0.0041234456 0.0032827428 0.0028394095 0.0030959202 0.0035941142 0.0030781275 0.003075162 0.0038135569 0.0064943153 0.0044348165 0.0042628213 0.004677983 0.0039677597 0.004010759 0.0037898333 0.0035600117 0.00393514 0.004003345 0.0036133896 0.004083412 0.004018172 0.0035807698 0.003451773 0.0032708813 0.005021974 0.0033020184 0.003754248 0.003155229 0.0030188188 0.0030232668 0.0032619848 0.0030840584 0.0030677484 0.003764627 0.003085541 0.0027059647 0.0035926315 0.002571037 0.0033628098 0.0028201342 0.0036875256 0.0033005355 0.0024894874 0.0028749949 0.003626734 0.0032590195 0.0031255744 0.0035036684 0.0032249168 0.0027830661 0.0025146937 0.0028483057 0.0032679157 0.003202676 0.002963958 0.0029357863 0.0041842368 0.0030188188 0.0023782835 0.002609588 0.003494772 0.0029728543 0.0033049837 0.0032412268 0.0040285513 0.002671862 0.0028186515 0.0026688967 0.003011405 0.0026006915 0.002809755 0.0030662657 0.005526099 0.0042628213 0.0037764888 0.0036919736 0.0035288746 0.0026866894 0.003909934 0.0035614944 0.0040863776 0.0031982278 0.0024909703 0.002550279 0.0030380941 0.0025117283 0.0028438577 0.0032278823 0.00373349 0.0024835567 0.00314485 0.003134471 0.0032323303 0.0024746603 0.0034176705 0.0035555635 0.0038595211 0.0025828988 0.0032100896 0.0030736793 0.003239744 0.0025799335 0.0029372692 0.0029520963 0.0050545936 0.0033064664 0.0028913047 0.0028853738 0.004040413 0.0022522523 0.00252359 0.0032486403 0.0031567116 0.0026748276 0.0024998665 0.004301372 0.003307949 0.0029432 0.0028779602 0.003293122 0.004808462 0.0031581945 0.0028230995 0.0026763103 0.0032204688 0.0025828988 0.0031789525 0.003997414 0.0041531 0.0021870125 0.0024509367 0.002471695 0.004394783 0.0026614831 0.0039203125 0.010880202 0.0015168677 0.0 0.0 0.0 0.0 0.0 7.4319826e-07 1.4863965e-06 7.4319826e-07 7.4319826e-07 0.0 0.0 0.0 7.4319826e-07 7.4319826e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003976111 0.00010256136 5.5739867e-05 5.128068e-05 0.00011593893 7.4319823e-06 1.8579956e-05 2.0809552e-05 1.5607164e-05 7.4319826e-07 2.2295947e-06 2.2295947e-06 9.661578e-06 0.0 1.5607164e-05 0.0001716788 0.0025632908 4.756469e-05 3.344392e-05 7.729262e-05 2.601194e-05 1.9323155e-05 2.6755137e-05 2.8241533e-05 2.601194e-05 8.918379e-06 1.0404776e-05 1.1147974e-05 2.0809552e-05 5.202388e-06 3.1957527e-05 0.00010776374 0.0029497538 0.0011631052 5.499667e-05 8.175181e-05 3.7159913e-05 6.837424e-05 2.4525541e-05 1.1147974e-05 2.6755137e-05 1.3377568e-05 4.682149e-05 4.4591893e-06 8.1751805e-06 8.1751805e-06 1.6350361e-05 5.128068e-05 0.0052878554 0.000258633 7.580622e-05 0.0001701924 0.00083238207 0.00030619767 3.1957527e-05 2.8984732e-05 0.0001256005 2.526874e-05 0.00010033177 2.8984732e-05 3.344392e-05 3.344392e-05 5.7226265e-05 0.0002140411 0.007707709 0.00073576625 9.512938e-05 0.00021850028 0.0006280025 0.00035747836 5.3510274e-05 0.00011445253 0.00032700723 0.0009215658 0.00013005969 3.790311e-05 7.877901e-05 5.202388e-05 0.00010033177 0.000618341 0.0061053736 0.00028984732 0.0002935633 0.0002913337 0.0013593097 6.168545e-05 8.844059e-05 8.844059e-05 0.00010107496 0.00029430652 5.3510274e-05 3.0471128e-05 8.769739e-05 7.134703e-05 0.00014418046 0.0028159781 0.0019508954 0.00011965492 0.00012114132 0.00014195086 0.0007706966 3.5673515e-05 1.6350361e-05 2.7498336e-05 2.3039145e-05 3.2700722e-05 2.2295948e-05 2.1552749e-05 3.1214327e-05 4.0875904e-05 5.2767075e-05 0.0011579029 0.0018282677 0.00011222294 0.00032477765 0.00020363631 0.00040578624 5.6483066e-05 0.0006376641 0.00030099528 1.8579956e-05 2.1552749e-05 1.7836757e-05 1.4863965e-05 5.128068e-05 2.3782344e-05 3.1957527e-05 0.0005165228 0.0021582476 0.00022890506 0.00015830122 0.00035227597 0.00015904443 0.000168706 0.00018728596 0.00017762439 0.00023336425 7.209023e-05 8.6210996e-05 8.47246e-05 0.0001322893 9.9588564e-05 0.0001285733 0.00013897807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00052023877 0.0001278301 6.391505e-05 6.2428655e-05 6.986064e-05 4.3848697e-05 0.00019769074 0.000111479734 3.6416714e-05 3.493032e-05 3.0471128e-05 3.1214327e-05 7.357663e-05 3.6416714e-05 4.23623e-05 3.9389506e-05 0.0032730452 0.0012552618 0.0015168677 0.005882414 0.001447007 0.00095798256 0.0016543593 0.0013087721 0.0011876308 0.0007261047 0.0008479892 0.0006525281 0.0012351954 0.0007974517 0.00092379545 0.0006867152 0.089271486 0.06513241 0.060407896 0.056271255 0.06199611 0.05449501 0.055887766 0.05624673 0.063189685 0.050565723 0.048383694 0.048077494 0.053262047 0.048562802 0.049833674 0.053180292 4437.0 6.7579446 29985.0 0.023745205 0.0074370517 0.008404202 0.008971152 0.008871102 0.0082041025 0.008170752 0.012706353 0.010438553 0.007070202 0.007770552 0.007770552 0.011572453 0.0066033015 0.011038853 0.007236952 0.012072703 0.008837752 0.009404702 0.0097048525 0.009871602 0.0072036018 0.007903952 0.008070702 0.010705353 0.009071202 0.0097048525 0.008004002 0.008971152 0.008871102 0.009404702 0.012906454 0.04112056 0.012539603 0.009071202 0.010772053 0.0105052525 0.008237452 0.009671503 0.010405202 0.012906454 0.009971652 0.008837752 0.008104052 0.009571453 0.008937802 0.010238453 0.008270802 0.013006504 0.0076705017 0.009771553 0.008971152 0.012406203 0.009004503 0.009104553 0.009137902 0.010205102 0.0070035015 0.009304652 0.0084375525 0.009938302 0.0071035516 0.007970652 0.0082041025 0.011705853 0.014207103 0.008737702 0.010938803 0.013006504 0.018776055 0.011339003 0.009871602 0.011038853 0.017608805 0.007637152 0.009104553 0.014740704 0.010905453 0.013106553 0.014007003 0.014940804 0.007303652 0.016841754 0.012472903 0.016841754 0.011572453 0.0097048525 0.009271302 0.010038353 0.009204602 0.006670002 0.0067700516 0.007703852 0.0071035516 0.0062364517 0.007470402 6.4967666 0.0 1.0 0.0 15.0 674436.0 1495040.0 0.0 0.0 13.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 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 479232.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -478208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9356017 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.176108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -479232.0 0.0 0.0 0.0 0.0 0.0 974848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 812.0 1493088.0 34912.0 1458176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1457040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.3740932 0.029296875 0.024414062 0.008231027 0.01702009 0.0061383927 0.014927455 0.00655692 0.00453404 0.006905692 0.017299106 0.004603795 0.0016741072 0.0024414062 0.0034877232 0.0007672991 0.0032087055 0.007254464 0.008510045 0.0037667411 0.0016741072 0.0042550224 0.002580915 0.001813616 0.002999442 0.0018833706 0.0021623883 0.002580915 0.0020926339 0.0009765625 0.0016741072 0.0011858259 0.012834822 0.0016741072 0.0018833706 0.0013253348 0.0013950893 0.00034877233 0.0013253348 0.00062779017 0.0076032365 0.00062779017 0.0050223214 0.0008370536 0.0020926339 0.0013950893 0.0073939734 0.0020228794 0.004045759 0.0016741072 0.0017438616 0.0015345982 0.0023716518 0.0009765625 0.0007672991 0.0010463169 0.0008370536 0.00062779017 0.00048828125 0.0004185268 0.001953125 0.00048828125 0.0018833706 0.0010463169 0.0012555803 0.00453404 0.0014648438 0.0035574776 0.0025111607 0.0026506695 0.0017438616 0.0024414062 0.0013253348 0.0043247766 0.00013950893 0.00055803574 0.0026506695 0.001953125 0.001813616 0.0010463169 0.0013253348 0.00062779017 0.002232143 0.0043247766 0.0023018974 0.00034877233 0.001813616 0.0008370536 0.0007672991 0.00069754466 0.0002092634 0.00034877233 0.0011160715 0.00069754466 0.00013950893 0.0048828125 0.0012555803 0.011997768 0.005301339 0.0059291297 0.0053710938 0.029924665 0.004045759 0.0042550224 0.001953125 0.018973215 0.0004185268 0.0011160715 0.01436942 0.010602678 0.014508928 0.023088727 0.0060686385 0.00069754466 0.018833706 0.015694754 0.02845982 0.008161272 0.0030691964 0.0015345982 0.0012555803 0.005092076 0.0002092634 0.0073242188 0.00013950893 0.0032087055 0.0015345982 0.0004185268 0.0033482143 0.0016741072 0.0009765625 0.0004185268 0.00034877233 0.0002092634 0.0010463169 0.00013950893 6.975447e-05 0.00027901787 0.0 0.0002092634 0.0010463169 6.975447e-05 0.00027901787 0.0002092634 0.00027901787 0.00062779017 0.00048828125 0.0013950893 0.0002092634 6.975447e-05 6.975447e-05 0.0023018974 0.00034877233 0.00055803574 0.0 0.0008370536 0.0002092634 0.00062779017 6.975447e-05 0.00013950893 0.00062779017 0.00055803574 0.00055803574 0.00013950893 0.00013950893 0.00013950893 0.0 0.00013950893 0.00055803574 0.0002092634 0.0002092634 0.0004185268 0.00034877233 0.00027901787 0.00027901787 0.0 0.00027901787 0.00027901787 0.0026506695 0.0 0.0002092634 0.00027901787 6.975447e-05 0.00013950893 0.00027901787 6.975447e-05 0.00013950893 0.0002092634 6.975447e-05 0.00027901787 0.0002092634 0.0002092634 0.0002092634 0.0016741072 0.00027901787 0.0002092634 0.0007672991 0.00034877233 0.00013950893 0.00013950893 0.0002092634 0.00013950893 0.0008370536 0.00013950893 0.0002092634 0.0002092634 0.0002092634 6.975447e-05 0.00069754466 6.975447e-05 0.0 0.000906808 0.00013950893 0.0002092634 6.975447e-05 0.00027901787 0.00027901787 0.0 6.975447e-05 0.00013950893 0.0004185268 0.0 0.00048828125 6.975447e-05 0.0002092634 0.0014648438 0.00062779017 0.00013950893 0.0 6.975447e-05 0.00027901787 0.00013950893 6.975447e-05 0.00027901787 0.0002092634 0.00013950893 0.0002092634 0.0 0.0 6.975447e-05 0.00013950893 0.00048828125 0.00013950893 6.975447e-05 0.00027901787 0.0 0.00013950893 0.0 0.00048828125 6.975447e-05 6.975447e-05 0.0 0.00027901787 6.975447e-05 0.0017438616 0.0011858259 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06317608 0.00022536058 0.0009014423 0.0013146034 0.001577524 0.0009390024 0.005784255 0.0025165265 0.00015024039 7.5120195e-05 3.7560098e-05 0.00011268029 0.0 0.0 3.7560098e-05 7.5120195e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10141226 0.01592548 0.011831431 0.0036433293 0.0015024039 0.00067608175 0.0042442908 0.010667067 0.0007136418 0.00018780048 0.0002629207 0.00037560097 0.00011268029 0.0008638822 0.00015024039 0.0012770433 0.15902945 0.017690806 0.016451322 0.0107421875 0.01986929 0.0116436295 0.082782455 0.05434946 0.0036433293 0.0010892428 0.0013897235 0.0006385216 0.0021409255 0.0006385216 0.00067608175 0.0018404447 0.1106896 0.012920673 0.014573317 0.005108173 0.005784255 0.0055213342 0.03910006 0.021108774 0.0041691707 0.0016902044 0.0017277644 0.0022536058 0.002741887 0.001164363 0.0015024039 0.0007136418 0.06824669 0.0034179688 0.0051457332 0.0016902044 0.0067232572 0.0049954928 0.028620793 0.017653245 0.0022536058 0.0057466947 0.0013521635 0.0021409255 0.001164363 0.0014648438 0.0018028846 0.0014272836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 17.695652 3256.0 0.0036855037 0.0003071253 0.0 0.00092137593 0.00092137593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003071253 0.0012285012 0.021498771 0.0 0.003992629 0.003071253 0.0033783785 0.0024570024 0.0027641277 0.0018427519 0.00092137593 0.0015356265 0.0006142506 0.00092137593 0.0003071253 0.0 0.0076781325 0.0003071253 0.0076781325 0.0 0.0003071253 0.01504914 0.0021498771 0.012592138 0.006756757 0.00921376 0.003992629 0.006756757 0.0012285012 0.015663391 0.0 0.0 0.0082923835 0.00460688 0.0024570024 0.003071253 0.0036855037 0.0 0.0076781325 0.015663391 0.0076781325 0.0012285012 0.004914005 0.0021498771 0.0 0.0003071253 0.0 0.0 0.0027641277 0.0 0.0 0.01904177 0.0018427519 0.041769043 0.019348895 0.02027027 0.014742015 0.10872236 0.0064496314 0.01443489 0.0052211303 0.060503684 0.0006142506 0.003071253 0.046068795 0.04054054 0.048832923 0.056511056 0.011977887 0.00092137593 0.061732188 0.05036855 0.1031941 0.02886978 0.0073710075 0.003992629 0.0027641277 0.016277641 0.0 0.0 0.0 0.0 0.0 0.0 4.9561887 0.0 0.0 0.0 1.0 14336.0 40960.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1526794500.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 6.0 0.0 12288.0 512.0 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 -12288.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4320884 0.0 3.1932151 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 -11956.0 0.0 888.0 0.0 0.0 0.0 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 20060.0 888.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 28.0 19748.0 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: 0.11124661 0.011072355 0.00988813 0.004998428 0.008997758 0.003358732 0.0032088673 0.0026946256 0.009271041 0.0022656014 0.0031089575 0.0028562446 0.0060739275 0.0029061993 0.0021656915 0.0054450836 0.014898312 0.0020011342 0.001719036 0.0020745974 0.004155072 0.0020217039 0.0018395155 0.0019923188 0.0036614 0.0020040728 0.0015985566 0.0017895607 0.0029061993 0.0017278516 0.001583864 0.0016984664 0.0041051167 0.0015956181 0.001774868 0.008107386 0.009080037 0.0018806548 0.0017307901 0.0016338188 0.0023743268 0.0016367574 0.001528032 0.0027974742 0.002206831 0.0017278516 0.0025917774 0.0016338188 0.003297023 0.0030472486 0.0023713883 0.005982833 0.0027151953 0.0023566955 0.0022420932 0.0028444903 0.0031030804 0.0027269495 0.0020745974 0.0047692233 0.0028797528 0.008750922 0.0023096793 0.0026387938 0.0097764665 0.0025418226 0.0027974742 0.008480578 0.0047486536 0.006182653 0.0042608585 0.002662302 0.0032206215 0.0019864417 0.008051554 0.0017719294 0.003549736 0.00531285 0.0029737854 0.0021216138 0.005168862 0.0034057484 0.0028915068 0.002982601 0.0031412812 0.0031001419 0.0046428666 0.0035379818 0.0023831422 0.0092034545 0.007922258 0.002847429 0.002297925 0.0030766337 0.004340199 0.003117773 0.0017572369 0.0019364868 0.0016543885 0.008051554 0.0030795722 0.0029355846 0.003376363 0.0014898313 0.0026711177 0.0020745974 0.0033881173 0.008648073 0.002582962 0.0018189459 0.0021891997 0.0022332775 0.008880217 0.0016984664 0.0029679083 0.0025183144 0.0064529967 0.012773761 0.002488929 0.001965872 0.0021245521 0.0020804743 0.0016191263 0.008045676 0.0029003224 0.0024654209 0.00901245 0.0017249131 0.0033939942 0.0036261375 0.0015544788 0.007872304 0.003629076 0.004977858 0.0018806548 0.0015104009 0.0028826913 0.010058565 0.003532105 0.022573736 0.001959995 0.007246398 0.0018218843 0.0024301587 0.0074315253 0.001583864 0.0014339993 0.0021186753 0.00893311 0.0018453925 0.0019511794 0.0015662329 0.0018042532 0.0023067407 0.0019511794 0.0015309706 0.0024683594 0.0015985566 0.0016690812 0.0013605362 0.0029355846 0.0019129786 0.001466323 0.0014575075 0.0017072819 0.0023743268 0.0021274907 0.0015133395 0.0020099499 0.0015397861 0.0015603558 0.0017895607 0.0019276711 0.007966336 0.0016044336 0.0016661426 0.0020804743 0.0014575075 0.0015574173 0.001386983 0.0017513598 0.002292048 0.002582962 0.0017484212 0.0031412812 0.0019071015 0.0016955278 0.002421343 0.002729888 0.008016291 0.0018571466 0.0025006833 0.0059505096 0.005171801 0.0045135715 0.0040375306 0.0026769945 0.0015397861 0.0034968425 0.0040992396 0.008986004 0.00286506 0.0018777163 0.002095167 0.007325738 0.0016690812 0.008512901 0.0019952573 0.0029561543 0.00887434 0.0020569663 0.0019511794 0.0017631139 0.0014516305 0.0016308804 0.0016514501 0.0022773554 0.0017396057 0.0017719294 0.0018953475 0.0027563346 0.0016132492 0.0015339091 0.0016749582 0.0029972936 0.0019159171 0.0017307901 0.0015456632 0.0020363966 0.0015515402 0.001774868 0.0015809254 0.008586365 0.0043548914 0.0019276711 0.0036966621 0.003088388 0.0018835934 0.0016896508 0.0019217941 0.0039523137 0.0026769945 0.0017660524 0.00216863 0.002230339 0.0016220647 0.0022538472 0.002224462 0.0033234698 0.0020745974 0.002342003 0.0018835934 0.0042961207 0.0018806548 0.003549736 0.026020622 0.024169184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028500282 6.7857814e-05 4.42551e-06 5.9006798e-06 2.9503399e-06 1.032619e-05 5.9006798e-06 4.42551e-06 1.18013595e-05 1.327653e-05 4.42551e-06 4.42551e-06 1.770204e-05 2.9503399e-06 2.9503399e-06 1.18013595e-05 0.0028456028 3.3928907e-05 7.3758497e-06 7.3758497e-06 1.18013595e-05 1.622687e-05 1.327653e-05 1.032619e-05 1.18013595e-05 8.85102e-06 8.85102e-06 1.032619e-05 4.42551e-06 5.9006798e-06 7.3758497e-06 1.770204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005112939 0.00030831053 7.5233664e-05 3.097857e-05 4.7205438e-05 4.868061e-05 4.868061e-05 4.7205438e-05 8.703503e-05 2.655306e-05 4.868061e-05 1.9177209e-05 2.3602719e-05 2.9503399e-05 1.770204e-05 7.080816e-05 0.0023779739 0.00023455202 6.638265e-05 1.770204e-05 2.802823e-05 2.212755e-05 2.212755e-05 3.687925e-05 5.9006798e-05 1.18013595e-05 4.130476e-05 1.18013595e-05 5.9006798e-06 2.212755e-05 1.032619e-05 5.310612e-05 0.0022157053 2.065238e-05 4.868061e-05 0.0001371908 5.4581287e-05 3.982959e-05 0.00023455202 7.965918e-05 3.245374e-05 3.982959e-05 7.3758497e-06 4.42551e-06 4.7205438e-05 1.032619e-05 1.032619e-05 3.8354417e-05 0.018038377 0.0021316207 0.0007080816 0.00091608055 0.00021684998 0.0002655306 0.0002065238 0.00021389964 0.00015046733 0.00047057922 0.00017554522 0.00018587141 0.00015931836 0.00018439624 0.0005089336 0.0026582563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0071339216 0.0006874292 0.00029208366 0.00017259488 0.000529586 0.00037616835 0.0008836268 0.0006298976 0.00028323263 8.998537e-05 0.00017849557 0.0001371908 0.0001076874 7.6708835e-05 0.00014604183 0.00035994148 0.003811839 0.0001622687 0.00010473707 0.0007700387 0.0005959687 0.00026110507 0.0013291282 0.0007243084 0.00011506325 8.260952e-05 5.4581287e-05 0.00044255098 6.195714e-05 4.2779928e-05 6.195714e-05 0.00044255098 0.012224733 0.0017008709 0.0011432567 0.009826107 0.0011137533 0.0010281934 0.0022245562 0.0014722196 0.0010576969 0.0018218348 0.0017466012 0.0011904621 0.0015135243 0.00072873395 0.000902804 0.0026007246 0.0022688115 0.0009072295 0.00030093465 0.00024192788 0.0001666942 0.00016374387 0.00021684998 0.00011211292 0.00024192788 0.00022422583 0.00011211292 0.00018439624 0.0004071469 5.605646e-05 0.00028323263 0.00015489284 0.053393777 0.01206099 0.013990512 0.011971004 0.029675994 0.024620587 0.014163107 0.029102152 0.0353908 0.01032619 0.0066028605 0.008699077 0.027482416 0.00837159 0.0115668075 0.02282383 0.031345885 0.008862821 0.006157359 0.00599214 0.0101609705 0.011299802 0.0047766003 0.009082621 0.020288013 0.0045007435 0.002587448 0.0034238694 0.012308818 0.004581878 0.008080981 0.013649748 0.021087555 0.020540265 0.02351716 0.024070349 0.02790579 0.025960041 0.02574024 0.028239178 0.023415372 0.023939058 0.02399364 0.024804983 0.024762202 0.023484705 0.020733513 0.021491751 3365.0 6.1084695 20555.0 0.007929944 0.0021892483 0.004086597 0.0021892483 0.006567745 0.0017027487 0.0018000486 0.0020919484 0.0037460472 0.0022378983 0.0019459985 0.0023838482 0.0046703964 0.0029676477 0.0033081975 0.0021892483 0.009973243 0.007686694 0.0069569447 0.008027244 0.008367794 0.0057893456 0.006810995 0.006567745 0.007589394 0.0072001945 0.005254196 0.006421795 0.006519095 0.0069569447 0.0072001945 0.007638044 0.10381902 0.005400146 0.0044757966 0.103770375 0.007783994 0.006373145 0.0045244466 0.0048163463 0.0047190464 0.003940647 0.003989297 0.0018000486 0.006373145 0.0057893456 0.0032595475 0.0037460472 0.0061785453 0.004086597 0.0042811967 0.006616395 0.005302846 0.0037460472 0.0046703964 0.005302846 0.0030649477 0.10197032 0.0033081975 0.003794697 0.0035514473 0.003989297 0.0043784967 0.0044757966 0.0034541474 0.008027244 0.003989297 0.102991976 0.008124544 0.016151788 0.0032108976 0.003843347 0.005205546 0.008854293 0.003940647 0.10080273 0.008465094 0.0056920457 0.010167843 0.009584043 0.006762345 0.0023838482 0.011092192 0.0057406956 0.015032839 0.007686694 0.0031135976 0.0043784967 0.004135247 0.0071515446 0.002529798 0.0033568474 0.0048649963 0.002627098 0.0037460472 0.002627098 5.278949 0.0 0.0 0.0 6.0 340307.0 380928.0 0.0 7.0 72.0 1.0 1.0 0.0 0.0 0.0 1290097700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 126464.0 1024.0 4096.0 7.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -292352.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1935906 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.9062934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5199889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.339042 0.0 4.041249 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9624.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 16628.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -294282.0 0.0 5816.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 244.0 147456.0 80.0 145828.0 5816.0 192512.0 0.0 0.0 0.0 0.0 6464.0 200704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 131072.0 0.0 0.0 0.0 0.0