Input: 0.43033853 0.033017114 0.014880952 0.00827753 0.011532738 0.004278274 0.010509673 0.006417411 0.006231399 0.0025111607 0.0070684524 0.0023251488 0.001860119 0.0016741072 0.0029761905 0.0006510417 0.0023251488 0.003813244 0.0066964286 0.007905506 0.0012090774 0.0015811012 0.0028831845 0.0013950893 0.002232143 0.0012090774 0.00037202382 0.0013950893 0.001953125 0.00055803574 0.0015811012 0.00037202382 0.006231399 0.0017671131 0.0013020834 0.0014880953 0.0011160715 0.00055803574 0.00046502976 9.3005954e-05 0.0033482143 0.0010230655 0.0027901786 0.0016741072 0.0012090774 0.0013020834 0.012090774 0.004278274 0.0052083335 0.002046131 0.0008370536 0.0011160715 0.0023251488 0.00055803574 0.00074404763 0.0008370536 0.00037202382 0.0016741072 0.00074404763 0.00027901787 0.0013020834 0.00055803574 0.00037202382 0.00037202382 0.0016741072 0.0048363097 0.0017671131 0.005673363 0.0030691964 0.0016741072 0.0029761905 0.0016741072 0.0015811012 0.0023251488 0.00074404763 0.0009300595 0.0025111607 0.003627232 0.0011160715 0.0016741072 0.002046131 0.00018601191 0.0026971726 0.0065104165 0.0026041667 0.0009300595 0.0026041667 0.0015811012 0.00018601191 0.00037202382 9.3005954e-05 0.00018601191 0.001860119 0.00037202382 0.00018601191 0.004278274 0.0012090774 0.013299851 0.0070684524 0.01171875 0.006045387 0.037853424 0.0023251488 0.007998512 0.0027901786 0.018229166 0.0014880953 0.0011160715 0.011811756 0.0078125 0.011811756 0.01906622 0.0066964286 0.0015811012 0.020368304 0.01813616 0.02641369 0.009858631 0.001860119 0.0012090774 0.0012090774 0.0066034226 0.00055803574 0.0013950893 0.0 0.0008370536 0.0009300595 0.00018601191 0.0023251488 0.0009300595 0.0 0.0011160715 0.00046502976 0.00018601191 9.3005954e-05 0.0 0.00037202382 0.00046502976 9.3005954e-05 0.00055803574 0.0006510417 0.00027901787 0.00018601191 9.3005954e-05 0.00037202382 0.0009300595 9.3005954e-05 0.0 0.00018601191 0.00027901787 9.3005954e-05 9.3005954e-05 9.3005954e-05 0.00027901787 0.00018601191 0.0 9.3005954e-05 9.3005954e-05 0.00018601191 0.0 0.00027901787 0.00046502976 9.3005954e-05 0.00037202382 0.00027901787 0.00027901787 9.3005954e-05 9.3005954e-05 0.00018601191 0.00027901787 0.00027901787 0.00027901787 0.0 9.3005954e-05 9.3005954e-05 0.00046502976 0.00027901787 0.00018601191 0.0 0.00018601191 0.00046502976 0.00027901787 9.3005954e-05 9.3005954e-05 0.00046502976 0.00037202382 0.00018601191 0.00037202382 0.00018601191 9.3005954e-05 0.00018601191 0.00037202382 0.00046502976 0.00018601191 0.00018601191 0.00055803574 9.3005954e-05 0.0 9.3005954e-05 9.3005954e-05 0.00027901787 0.00037202382 0.00027901787 0.00018601191 0.0 0.00027901787 9.3005954e-05 9.3005954e-05 0.0008370536 0.00018601191 0.0 9.3005954e-05 0.00037202382 9.3005954e-05 9.3005954e-05 0.0 9.3005954e-05 0.00018601191 0.0 0.0014880953 0.00018601191 0.0 0.00046502976 0.00046502976 0.00055803574 9.3005954e-05 0.0 0.0008370536 9.3005954e-05 9.3005954e-05 0.00018601191 0.0 9.3005954e-05 9.3005954e-05 0.0 0.00046502976 9.3005954e-05 0.00018601191 0.0011160715 0.00018601191 9.3005954e-05 0.00027901787 0.0 0.00027901787 0.0 0.0010230655 0.0 9.3005954e-05 9.3005954e-05 0.00027901787 0.00018601191 0.00037202382 0.0 0.00027901787 0.00027901787 0.00046502976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08816189 0.0005967882 0.0015190972 0.0022243923 0.002766927 0.0015733507 0.010199653 0.002983941 0.00021701389 0.00016276042 5.4253473e-05 0.000108506945 5.4253473e-05 0.00021701389 0.000108506945 0.00016276042 0.08257379 0.0049913195 0.0068901908 0.0027126735 0.0013563368 0.0007595486 0.0047743055 0.0043945312 0.0009765625 0.00016276042 0.00016276042 0.0003797743 0.00027126737 0.0003797743 0.00016276042 0.00016276042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.15407985 0.015190972 0.014105903 0.007975261 0.013726128 0.010579427 0.06618924 0.04248047 0.0024414062 0.0009765625 0.0009765625 0.00081380206 0.0006510417 0.0011935764 0.0007052951 0.0012478299 0.0889757 0.0078125 0.0103081595 0.002983941 0.011284722 0.008734809 0.048014324 0.02967665 0.0025499132 0.0011393229 0.0017903646 0.0016276041 0.0014648438 0.0020073785 0.002061632 0.0017903646 0.03032769 0.008463542 0.0050455728 0.0032552083 0.0066189235 0.0045030382 0.031304255 0.020019531 0.00081380206 0.00027126737 0.000108506945 0.000108506945 0.000108506945 5.4253473e-05 5.4253473e-05 5.4253473e-05 0.048177082 0.005750868 0.0070529515 0.0013020834 0.0052625868 0.003797743 0.019151475 0.011338975 0.0017361111 0.0007052951 0.001030816 0.0010850695 0.0010850695 0.0013563368 0.0015190972 0.0007595486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 186.0 16.60215 3088.0 0.005181347 0.0003238342 0.0 0.0012953368 0.0003238342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001619171 0.0012953368 0.029468913 0.0 0.0074481866 0.003238342 0.00097150257 0.0019430051 0.004857513 0.0012953368 0.001619171 0.00097150257 0.0003238342 0.0025906735 0.0003238342 0.0 0.0003238342 0.0012953368 0.0003238342 0.0 0.0003238342 0.014572538 0.0042098444 0.015867876 0.008095855 0.0042098444 0.0055051814 0.0042098444 0.0025906735 0.004857513 0.0 0.00097150257 0.0038860103 0.011334197 0.0022668394 0.0035621761 0.0055051814 0.0 0.008095855 0.019753886 0.0071243523 0.0022668394 0.0058290157 0.0035621761 0.0 0.0 0.0 0.0 0.0022668394 0.0 0.0 0.012629534 0.00097150257 0.039507773 0.02234456 0.035621762 0.018134715 0.121437825 0.005181347 0.022668393 0.006476684 0.056670986 0.0042098444 0.003238342 0.035297927 0.024611399 0.036593266 0.056670986 0.020725388 0.0006476684 0.063795336 0.053432643 0.086139895 0.03173575 0.006476684 0.0035621761 0.0025906735 0.019753886 0.00097150257 0.0 0.0 0.0 0.0 0.0 4.9893093 1.0 0.0 0.0 1.0 10752.0 40960.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1460964900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 7680.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -7680.0 512.0 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 -5.5994377 2.6884587 3.2370124 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 -7236.0 312.0 808.0 0.0 0.0 0.0 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 87.0 15332.0 808.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 28.0 16384.0 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: 0.16492069 0.0047422466 0.0033217922 0.0031146426 0.003506747 0.003055457 0.0034179688 0.0036029238 0.003795277 0.0027077415 0.0031146426 0.002611565 0.0028852983 0.002944484 0.0038840554 0.0049272017 0.0038174717 0.0028113164 0.003388376 0.0029370857 0.003203421 0.0037508877 0.0034327651 0.0023674243 0.0032182173 0.0027151396 0.002389619 0.0026781487 0.003765684 0.002544981 0.0026855469 0.0033069958 0.0040024268 0.0029962712 0.0025967686 0.0027373342 0.0070208926 0.0038766572 0.0037286931 0.0024488044 0.0027151396 0.0028261128 0.0030036694 0.0031220408 0.0032774028 0.0026633523 0.003506747 0.0029000947 0.0033809778 0.0033661814 0.0035141453 0.0032256155 0.0037064985 0.0034327651 0.0033291904 0.0029814749 0.0057705967 0.004446319 0.0034475615 0.0038248699 0.0030480586 0.0029740767 0.004638672 0.0031442354 0.00884085 0.0048532197 0.0040394175 0.00427616 0.0047644414 0.005482067 0.0039210464 0.0027225378 0.0027743252 0.0024931936 0.0021454783 0.0026707505 0.0045276987 0.0032995977 0.0027743252 0.0023452297 0.0028113164 0.0024488044 0.0024118135 0.0024636008 0.003425367 0.003388376 0.0024636008 0.0032626064 0.002951882 0.0024931936 0.0034179688 0.0024118135 0.0031886245 0.003314394 0.0029296875 0.002951882 0.0027077415 0.0028187146 0.0025893704 0.003284801 0.003787879 0.0038100735 0.003787879 0.002544981 0.00316643 0.0036399148 0.0027891216 0.0033365886 0.0041799834 0.0032330137 0.0030406604 0.0034771543 0.0028852983 0.0027743252 0.003425367 0.0035289417 0.0054376777 0.004542495 0.0030184658 0.0034105706 0.0028631038 0.0028557056 0.0027817234 0.0025671758 0.002833511 0.002833511 0.002803918 0.004831025 0.002870502 0.0032256155 0.002988873 0.0049272017 0.0037804805 0.0035363398 0.003055457 0.0027891216 0.0027743252 0.007997455 0.0037286931 0.0064290366 0.0030480586 0.0032700046 0.0027891216 0.003647313 0.002944484 0.0024931936 0.0031960227 0.002951882 0.00324781 0.0033661814 0.0046238755 0.0027965198 0.0031886245 0.0030036694 0.003284801 0.0031516335 0.0041133994 0.0042983545 0.0029370857 0.0028631038 0.0030184658 0.0027595288 0.003284801 0.0029000947 0.003314394 0.003795277 0.002907493 0.002397017 0.0032182173 0.0032774028 0.002729936 0.0032552083 0.0040394175 0.002648556 0.0027225378 0.0028261128 0.0032256155 0.003469756 0.0032182173 0.0028852983 0.003210819 0.0024118135 0.0023082385 0.0029740767 0.0046238755 0.002944484 0.0026041667 0.0034771543 0.0025893704 0.0022638494 0.002833511 0.0028926965 0.003129439 0.0038766572 0.0033365886 0.0034327651 0.0036029238 0.0025893704 0.0028852983 0.004046816 0.0031516335 0.0027595288 0.0030628552 0.003025864 0.004868016 0.002648556 0.002833511 0.004187382 0.003950639 0.0028557056 0.0030406604 0.002692945 0.0028779001 0.0026781487 0.002648556 0.0029592803 0.0033661814 0.0032626064 0.0030702534 0.002833511 0.003935843 0.0038766572 0.0034993489 0.0027225378 0.0029740767 0.0027447324 0.0026781487 0.0025005918 0.0028779001 0.002766927 0.0024857954 0.0025893704 0.0039136484 0.0029666785 0.0030332622 0.0032700046 0.0033587832 0.0028557056 0.0024783972 0.0036621094 0.003210819 0.0027891216 0.0029296875 0.0025967686 0.003055457 0.0024636008 0.0023452297 0.0027077415 0.0032995977 0.0026707505 0.0028557056 0.0028187146 0.0029296875 0.0025153882 0.002655954 0.0058741714 0.06870229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007040941 8.200143e-05 7.827409e-05 2.6091364e-05 0.00012300214 1.8636689e-05 0.0001080928 5.2182728e-05 2.2364027e-05 1.1182014e-05 0.0 1.4909351e-05 2.6091364e-05 7.4546756e-06 1.1182014e-05 1.1182014e-05 0.019926349 2.9818702e-05 0.00011927481 0.0006224654 0.000287005 0.00019009423 0.0009914718 0.0004062798 4.4728054e-05 4.1000716e-05 2.2364027e-05 4.4728054e-05 5.2182728e-05 3.354604e-05 4.1000716e-05 4.8455393e-05 0.0061538345 6.336474e-05 0.00017891222 2.2364027e-05 8.945611e-05 4.4728054e-05 0.0006634661 0.00034291507 3.354604e-05 3.7273378e-06 3.7273378e-06 0.0 1.1182014e-05 1.4909351e-05 3.7273378e-06 3.7273378e-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 0.021875745 0.00021991292 0.0004994633 0.00035036975 0.0018934876 0.00031682372 0.0022885853 0.0010399272 0.00042118918 0.00016027552 0.00010063812 0.0001379115 0.00041746182 0.00015282085 0.00020127624 0.00045846254 0.004778447 9.3183444e-05 1.8636689e-05 0.00010063812 0.0015878459 8.572877e-05 4.4728054e-05 7.827409e-05 8.945611e-05 0.00014909351 0.0001080928 0.000115547475 0.00019382157 7.081942e-05 2.6091364e-05 9.3183444e-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 0.004029252 0.00014163884 0.00013045683 0.0019605798 0.00012672949 0.000115547475 0.0001080928 0.00013045683 0.00010063812 0.0001080928 0.00012672949 0.0001080928 9.6910786e-05 0.00011182013 0.00012672949 0.00011182013 0.013809786 0.0006821028 0.0008125596 0.0030415077 0.0037608838 0.00082001433 0.0012747495 0.00087219704 0.00109211 0.00059637404 0.0005031906 0.0005143726 0.0010138359 0.00048455392 0.0005702827 0.00068583013 0.0018636689 0.0001975489 6.709208e-05 0.00020127624 0.003209238 0.00017145753 0.000104365456 0.0001379115 0.00016400286 0.00030191435 0.00020873091 0.0002161856 0.00039137047 0.00014163884 7.081942e-05 0.00018636689 0.0056655533 0.00039137047 0.0005031906 0.00046591723 0.0010399272 0.0006112834 0.0012822042 0.00082001433 0.0013455689 0.0002161856 0.00023109495 0.00028327768 0.0006261927 0.00037273378 0.00057773734 0.00083492365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00793923 0.0022028566 0.0056394623 0.0025047709 0.0060792877 0.003913705 0.0018152135 0.002747048 0.011167104 0.001136838 0.0006597388 0.0010958373 0.003686337 0.0016698473 0.0035223342 0.005289092 0.04937977 0.045201425 0.045704614 0.049353678 0.044083223 0.04038198 0.043803673 0.047121003 0.04681909 0.050125238 0.04750492 0.045753073 0.047303643 0.04758692 0.042353738 0.040348433 449.0 7.3452115 3298.0 0.01121892 0.009096422 0.0057610674 0.0060642813 0.012734991 0.010915707 0.0060642813 0.0039417828 0.0072771376 0.004548211 0.008793208 0.0054578534 0.00970285 0.0036385688 0.011825348 0.004851425 0.01485749 0.012128563 0.018192844 0.014554275 0.016979989 0.013038205 0.011825348 0.013644633 0.016070345 0.018496059 0.012431777 0.0057610674 0.008489994 0.00970285 0.00970285 0.008489994 0.008489994 0.0066707097 0.0072771376 0.013341419 0.011522135 0.010309278 0.012128563 0.0066707097 0.00818678 0.008489994 0.0057610674 0.0063674953 0.017283201 0.0066707097 0.0078835655 0.005154639 0.012128563 0.005154639 0.0069739236 0.012431777 0.01121892 0.005154639 0.005154639 0.01121892 0.011825348 0.0069739236 0.008793208 0.008793208 0.011825348 0.010309278 0.009399636 0.0075803516 0.01121892 0.016676774 0.0072771376 0.011522135 0.01637356 0.024863554 0.017283201 0.0063674953 0.012128563 0.015767131 0.00970285 0.010915707 0.021831414 0.011522135 0.01485749 0.016676774 0.009096422 0.008489994 0.01788963 0.02001213 0.02001213 0.010915707 0.00970285 0.004548211 0.013947847 0.009096422 0.0063674953 0.005154639 0.0072771376 0.0036385688 0.0066707097 0.008793208 6.459749 0.0 0.0 0.0 1.0 135168.0 143360.0 1.0 0.0 21.0 1.0 1.0 0.0 0.0 0.0 834962800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 1.0 13.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 6.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6521463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.442783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2579558 7.970852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9790.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12856.0 0.0 0.0 -226.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1864.0 100632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 76.0 33344.0 4240.0 116236.0 1864.0 135168.0 0.0 0.0 0.0 0.0 1300.0 139264.0 56.0 16496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.52785575 0.0015763334 0.00088533794 0.0019650185 0.0008421507 0.00062621466 0.00049665297 0.00034549774 0.00034549774 0.00032390413 0.0005398402 0.0041675665 0.00058302743 0.00066940184 0.00064780825 0.0011444612 0.0011228677 0.0008205571 0.002763982 0.0011444612 0.0011660549 0.0005398402 0.00071258907 0.0008421507 0.0010580868 0.000604621 0.00058302743 0.00034549774 0.0011444612 0.0008205571 0.0008421507 0.00058302743 0.0012740229 0.00058302743 0.00056143384 0.0005182466 0.0017058951 0.00041027856 0.001381991 0.00043187218 0.00058302743 0.0011660549 0.00062621466 0.00062621466 0.0009933059 0.00064780825 0.001489959 0.000604621 0.002310516 0.002310516 0.001101274 0.0010796804 0.00209458 0.0008205571 0.0013172101 0.0017922695 0.0009069315 0.0021161735 0.0009069315 0.00097171235 0.000604621 0.0010580868 0.00086374435 0.0005182466 0.0008421507 0.0011444612 0.0006909955 0.0017922695 0.00073418266 0.0012308357 0.0009933059 0.00209458 0.00045346576 0.001101274 0.00062621466 0.0013388037 0.00073418266 0.00073418266 0.0012956165 0.0009069315 0.0017274887 0.00062621466 0.0014035845 0.0010580868 0.00088533794 0.0043403152 0.0007557763 0.0014683653 0.00071258907 0.0010364932 0.00071258907 0.0005398402 0.0019002375 0.0005182466 0.001101274 0.0017058951 0.0014035845 0.0015763334 0.00097171235 0.0014467718 0.0013172101 0.004469877 0.001209242 0.0005182466 0.001101274 0.0009069315 0.00066940184 0.000604621 0.0021809544 0.0014035845 0.0015979271 0.0017058951 0.0015763334 0.0007557763 0.001813863 0.0013603973 0.002526452 0.001101274 0.0010364932 0.0005182466 0.00088533794 0.00073418266 0.0005398402 0.0005182466 0.00047505938 0.00064780825 0.0009285252 0.00049665297 0.0016411142 0.00062621466 0.0011660549 0.0013603973 0.0015115526 0.0007557763 0.00049665297 0.00043187218 0.0009285252 0.00056143384 0.0005182466 0.00056143384 0.00073418266 0.000604621 0.00066940184 0.00047505938 0.0005182466 0.00073418266 0.00066940184 0.0012524293 0.00066940184 0.00041027856 0.00049665297 0.0005182466 0.00064780825 0.00041027856 0.00056143384 0.0005398402 0.00047505938 0.0005182466 0.00062621466 0.0005182466 0.0009285252 0.0017058951 0.00073418266 0.0010796804 0.000604621 0.00066940184 0.00056143384 0.0015763334 0.0033901965 0.00056143384 0.0010364932 0.00058302743 0.001813863 0.00086374435 0.00058302743 0.0005182466 0.001101274 0.0010148996 0.00066940184 0.0015115526 0.0006909955 0.0006909955 0.0007557763 0.0014251781 0.0018570503 0.0008421507 0.00097171235 0.0009285252 0.0008421507 0.0015331461 0.00062621466 0.00045346576 0.0015547398 0.0006909955 0.00062621466 0.001813863 0.0010148996 0.0006909955 0.00073418266 0.0019434247 0.0008421507 0.00086374435 0.0017922695 0.0009933059 0.0023968904 0.0011228677 0.001813863 0.003087886 0.0017706759 0.0030231052 0.00073418266 0.0009285252 0.0015331461 0.0026560137 0.0011228677 0.00066940184 0.0012308357 0.0011876485 0.001381991 0.0009069315 0.0012740229 0.0007557763 0.002483265 0.00097171235 0.00086374435 0.0012740229 0.0014251781 0.002202548 0.001489959 0.0009285252 0.020967394 0.0010796804 0.0015979271 0.00073418266 0.0009933059 0.0012956165 0.004513064 0.001209242 0.0016843014 0.00287195 0.09851004 0.00064780825 0.0016411142 0.0015763334 0.0059814295 0.002763982 0.0009933059 0.00041027856 0.00073418266 0.00043187218 0.000604621 0.0009933059 0.0017274887 0.00045346576 0.0005398402 0.067825526 0.27175072 2.2194603e-05 6.658381e-05 4.4389206e-05 0.00019975142 2.2194603e-05 8.877841e-05 4.4389206e-05 0.00028852982 2.2194603e-05 2.2194603e-05 2.2194603e-05 0.0 6.658381e-05 2.2194603e-05 4.4389206e-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 0.02039684 8.877841e-05 7.768111e-05 7.768111e-05 9.987571e-05 4.4389206e-05 0.00015536221 0.00012207031 0.0011652167 6.658381e-05 6.658381e-05 9.987571e-05 4.4389206e-05 7.768111e-05 6.658381e-05 7.768111e-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 0.04149281 0.00025523792 0.00044389206 0.0016091086 0.00082120026 0.001143022 0.002286044 0.0010542437 0.0009987571 7.768111e-05 8.877841e-05 0.00031072443 0.00061035156 0.00031072443 0.0014204546 0.015258789 0.061368074 0.00046608664 0.00057705963 0.0008544922 0.00067693536 0.001986417 0.00074351917 0.00067693536 0.00039950284 0.00044389206 0.0011541193 0.00069912995 0.0006436435 0.0021195845 0.009443804 0.05411044 0.054620918 0.0010875355 0.001731179 0.0010764382 0.0009876598 0.0017644708 0.0012428977 0.0007324219 0.0018754438 0.00082120026 0.0021972656 0.0010764382 0.0015314276 0.0014315519 0.0071799536 0.034279563 0.025090998 0.00037730823 0.00041060013 0.00042169745 0.0016424005 0.0011319247 0.003928445 0.0022749468 0.0014537465 0.00035511365 0.00046608664 0.00051047583 0.0012428977 0.001253995 0.0033735796 0.024247603 0.016812412 0.00041060013 0.00037730823 0.00041060013 0.00055486505 0.0008322976 0.00034401633 0.00038840555 0.000588157 0.00045498935 0.00074351917 0.00049937854 0.0013316761 0.001842152 0.0038840554 0.015980113 0.0073242188 2.2194603e-05 0.0 0.0010653409 0.00047718396 0.0015425249 0.00082120026 0.0 0.0 0.0 8.877841e-05 6.658381e-05 0.0009654652 0.0013871626 0.0032737039 0.0056929155 0.0029296875 0.0016091086 0.00081010297 0.0015536222 5.5486507e-05 0.00035511365 1.10973015e-05 7.768111e-05 1.10973015e-05 2.2194603e-05 0.0014093573 0.0009099787 0.0014204546 0.00087668677 0.0019087358 0.008766868 0.009465998 0.0034845525 0.0012428977 0.0034068713 0.0007879084 0.0015536222 0.00063254614 0.0008655895 0.0008322976 0.0009876598 0.0012650923 0.002141779 0.0037397905 0.0016978871 0.0061257104 0.0072243433 0.01813299 0.0023304333 0.0031405361 0.0042946558 0.004982688 0.004205877 0.005870472 0.0037286931 0.00087668677 0.0016645952 0.0037841797 0.0036954014 0.0060702236 0.006369851 0.0044278232 0.017333984 0.0057262075 0.0012761896 0.0011541193 0.001176314 0.0011208274 0.0011208274 0.0009765625 0.0011652167 0.0011541193 0.0011208274 0.0013205789 0.0012207031 0.0010542437 0.0011097301 0.0009876598 0.0010431464 0.0050270776 0.003928445 0.0033957742 0.0037064985 0.0034401633 0.004272461 0.0036288174 0.0038618608 0.0035844282 0.003684304 0.004971591 0.00501598 0.0038285688 0.004683061 0.0042613638 0.006891424 80.0 11.225 898.0 0.010022271 0.0022271716 0.004454343 0.0022271716 0.0011135858 0.0033407572 0.004454343 0.004454343 0.0033407572 0.0011135858 0.0022271716 0.0033407572 0.0011135858 0.0011135858 0.011135858 0.0022271716 0.004454343 0.0033407572 0.005567929 0.005567929 0.0011135858 0.0011135858 0.0033407572 0.0011135858 0.0011135858 0.0022271716 0.0022271716 0.0011135858 0.0011135858 0.0033407572 0.0022271716 0.0033407572 0.004454343 0.0155902 0.0 0.022271715 0.012249443 0.008908686 0.008908686 0.025612472 0.0022271716 0.0077951 0.0011135858 0.0011135858 0.004454343 0.0066815144 0.040089086 0.004454343 0.0033407572 0.0 0.0077951 0.020044543 0.0033407572 0.020044543 0.004454343 0.0033407572 0.0022271716 0.0022271716 0.0033407572 0.0022271716 0.0011135858 0.0011135858 0.0011135858 0.0011135858 0.0 0.037861917 0.005567929 0.014476615 0.02895323 0.12694877 0.0155902 0.0033407572 0.018930959 0.023385301 0.0022271716 0.005567929 0.042316258 0.021158129 0.035634745 0.046770602 0.017817372 0.0022271716 0.046770602 0.040089086 0.07126949 0.020044543 0.004454343 0.0022271716 0.0033407572 0.0077951 0.0 0.0011135858 0.0022271716 0.0022271716 0.005567929 0.0011135858 5.394449 0.0 0.0 0.0 1.0 46310.0 155648.0 0.0 0.0 45.0 1.0 1.0 0.0 0.0 0.0 1398238600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 9.0 8.0 3.0 1.0 4.0 1.0 24576.0 1024.0 4096.0 4.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9089201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.578996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -496.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -115200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 32964.0 31232.0 118784.0 0.0 0.0 4134.0 81920.0 131136.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.056756716 0.008306164 0.0061762193 0.005666028 0.005754171 0.0049629593 0.004204931 0.005424413 0.00505525 0.005626623 0.0037507364 0.0044745444 0.0049557006 0.0031679566 0.0043231463 0.0046383864 0.0050386586 0.0037704387 0.00493185 0.004162415 0.0043563293 0.0031731415 0.0041053817 0.0038461378 0.0050718416 0.003352538 0.0031627717 0.0029294526 0.004152045 0.003436533 0.0037891043 0.0037932522 0.0061762193 0.0038171026 0.0034863078 0.0030258913 0.0049059256 0.0041676 0.003844064 0.003721701 0.004724455 0.0038959126 0.0033317986 0.0030943316 0.004368773 0.003726886 0.003722738 0.0035879312 0.0055198143 0.0039487984 0.0031078123 0.0029014542 0.003679185 0.0030715181 0.0026899115 0.0028620493 0.004168637 0.0033100222 0.0035205279 0.003359797 0.0040068687 0.0032291382 0.0035060104 0.0034520878 0.00660449 0.0039456873 0.0036180036 0.0032187684 0.004161378 0.0032208425 0.0035474892 0.0030663332 0.0050013275 0.0037818456 0.0037040724 0.0035910422 0.004126121 0.0031233667 0.003557859 0.0034614203 0.00516828 0.0036294102 0.0036574085 0.0033442422 0.003932207 0.0033763885 0.003359797 0.0035360826 0.004652904 0.0036428908 0.0038077699 0.0035049734 0.0041126404 0.003388832 0.003687481 0.0037891043 0.005916976 0.003633558 0.0033369835 0.0029491552 0.004003758 0.0030455936 0.0032633583 0.00303315 0.004974366 0.0031606979 0.0032032137 0.0030466306 0.0035817095 0.002836125 0.0030849988 0.003191807 0.004504617 0.0032872087 0.0032301752 0.0031409953 0.0038917647 0.0033307616 0.0032903196 0.0036242253 0.0046238685 0.0032892826 0.0034842337 0.0031752156 0.004039015 0.0031866222 0.00347179 0.0033421684 0.008649403 0.0045989812 0.00400998 0.0035205279 0.004365662 0.003434459 0.0030227802 0.0033846842 0.004539874 0.003844064 0.002956414 0.0031876592 0.0037320708 0.0027967198 0.0028433837 0.0029792273 0.0052294615 0.0032011399 0.0034956406 0.003029002 0.0036584456 0.0031835113 0.0033069113 0.0032633583 0.0045378 0.0028381988 0.0030404087 0.0027044292 0.003518454 0.0032291382 0.0029813012 0.003151365 0.005012734 0.0034106087 0.003272691 0.0027956828 0.0037745866 0.0030072257 0.0030507785 0.0031824743 0.0041375277 0.0030020408 0.0031223297 0.0030082627 0.003644965 0.002834051 0.002914935 0.003029002 0.0046611996 0.003110923 0.003843027 0.0028547903 0.003564081 0.003151365 0.0029885601 0.003116108 0.0042536687 0.003149291 0.0033380205 0.0031783264 0.0036511868 0.0031938811 0.0033297248 0.0033421684 0.00671752 0.0040639024 0.0037185901 0.0033359465 0.0041136774 0.0032509146 0.0033017264 0.0032218792 0.004328331 0.0033286877 0.0031119601 0.003080851 0.0036491128 0.0029854493 0.0030829248 0.002790498 0.0042401883 0.0032830609 0.0030891467 0.002997893 0.0037123682 0.0030258913 0.0029367113 0.0029450073 0.0039767968 0.0031078123 0.0027199837 0.0026390997 0.0035308977 0.0029439703 0.0035775616 0.0028869365 0.004958811 0.003233286 0.003400239 0.0029657467 0.0038077699 0.003072555 0.003198029 0.0029087132 0.004443435 0.0054524112 0.0034634944 0.0031285516 0.0037911783 0.0030891467 0.0032498776 0.0031938811 0.004610388 0.003313133 0.0034189045 0.0030404087 0.0037331076 0.0030891467 0.003312096 0.003238471 0.004352181 0.003029002 0.003191807 0.0028651601 0.004011017 0.0030922575 0.0042267074 0.0045212083 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045872466 0.0002945271 0.00027322973 0.00026491855 0.00031011054 0.00023946559 0.00033036902 0.00031322724 0.00032725232 0.00035322472 0.00032725232 0.00035322472 0.0005225648 0.00015167886 0.00018700134 0.0007391747 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09927641 0.062020548 0.06247247 0.055322267 0.060593106 0.059566677 0.054924887 0.05445998 0.060463242 0.05313487 0.052106883 0.052930206 0.056405313 0.05052724 0.05666452 0.05381223 4025.0 5.7038507 22958.0 0.017292447 0.010453872 0.009321369 0.008668003 0.013372245 0.012501089 0.011847722 0.01149926 0.012588205 0.009756948 0.008450214 0.008580887 0.013894939 0.010540988 0.011804164 0.009974737 0.016726196 0.012021953 0.008711561 0.0075790575 0.009844063 0.008537329 0.007840404 0.008363098 0.0103667565 0.008450214 0.009582716 0.008842234 0.011542818 0.009016464 0.009626274 0.009147138 0.017989371 0.01088945 0.0103667565 0.009060022 0.010845892 0.008798676 0.010715219 0.008275982 0.014243401 0.011629933 0.00971339 0.0089293495 0.011412144 0.009321369 0.0116734905 0.009539158 0.014766094 0.009582716 0.010018295 0.00910358 0.012021953 0.009364927 0.009539158 0.009756948 0.013720707 0.009277811 0.01049743 0.009495601 0.011150797 0.009844063 0.010410314 0.010671661 0.017945815 0.010976566 0.009669832 0.008188867 0.0130673405 0.008232424 0.009364927 0.008363098 0.015419462 0.009277811 0.0088857915 0.008711561 0.011368586 0.008058193 0.009887621 0.007840404 0.013241571 0.007971077 0.008668003 0.008798676 0.011542818 0.009539158 0.008275982 0.007883962 0.010845892 0.0088857915 0.011978395 0.008580887 0.011368586 0.008972907 0.010018295 0.008798676 6.554528 0.0 0.0 0.0 14.0 964344.0 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: 0.198631 0.007297092 0.0045844186 0.003644025 0.004756221 0.0027126735 0.004964193 0.0031467015 0.0036711516 0.0031557437 0.0041503906 0.0027126735 0.0024866175 0.002875434 0.0031828703 0.0033094618 0.0027126735 0.0033998843 0.0032371238 0.0029206453 0.0023600261 0.002170139 0.0024594907 0.0026674625 0.0021791812 0.0029748988 0.002875434 0.0031195746 0.004638672 0.0034722222 0.0036621094 0.0029929832 0.0036259403 0.0027850117 0.0026493778 0.0031195746 0.002350984 0.0027759692 0.0031919125 0.0028121383 0.0032913773 0.0023600261 0.0023057726 0.0023690683 0.0028392652 0.0028483074 0.0041503906 0.002947772 0.003164786 0.0026584202 0.002323857 0.0027488426 0.0045482493 0.003092448 0.0026222512 0.0029568141 0.0024414062 0.002875434 0.0032913773 0.0033275464 0.0029568141 0.003951461 0.002983941 0.0027398004 0.0034450954 0.0030653211 0.0028302227 0.0033998843 0.0024414062 0.002803096 0.0026041667 0.0034812645 0.002170139 0.0031014902 0.00221535 0.0030743633 0.002911603 0.0033004195 0.0027759692 0.0031738281 0.0031828703 0.0024866175 0.003246166 0.0032552083 0.0027036313 0.0021882234 0.0027940539 0.0033637153 0.0025951245 0.0030020254 0.0036982785 0.0028573496 0.0029206453 0.0035807292 0.0032913773 0.003273293 0.0028211805 0.0041775173 0.0030381945 0.0050003617 0.0031919125 0.007071036 0.003164786 0.0037887008 0.0032371238 0.0047652633 0.0027036313 0.0029929832 0.00479239 0.003870081 0.0046748407 0.006112558 0.0034722222 0.0027759692 0.005443432 0.0064199944 0.006410952 0.004692925 0.0030381945 0.003644025 0.0034722222 0.003508391 0.0031738281 0.003870081 0.0024685329 0.0027850117 0.0027488426 0.0030472367 0.0039243344 0.0023328993 0.00213397 0.0023148148 0.0028483074 0.0029658566 0.0028392652 0.003644025 0.0023148148 0.0025318286 0.0024233218 0.0026674625 0.0023419415 0.0028302227 0.0032552083 0.0028211805 0.0023600261 0.0025227864 0.0029929832 0.0034903067 0.0023600261 0.0021249277 0.0026584202 0.0032371238 0.0025951245 0.0028392652 0.0026584202 0.0027398004 0.0030834058 0.0032552083 0.0035988137 0.0026674625 0.0046296297 0.002911603 0.0025679977 0.002323857 0.002586082 0.0026765047 0.0021068433 0.0029206453 0.0037796586 0.0028121383 0.0024594907 0.0026765047 0.0026493778 0.0028211805 0.0032280816 0.002911603 0.0030653211 0.0029568141 0.0033275464 0.0045663337 0.002721716 0.002875434 0.0026765047 0.0032190394 0.002586082 0.0032552083 0.003354673 0.003644025 0.0031919125 0.003508391 0.0025770399 0.0029568141 0.0031195746 0.0023057726 0.00213397 0.003137659 0.0021430121 0.002432364 0.003870081 0.0027398004 0.002396195 0.002694589 0.0024685329 0.002911603 0.003246166 0.0029025609 0.0032280816 0.0032552083 0.0033817997 0.004322193 0.0030020254 0.002613209 0.0028663918 0.0028392652 0.0036259403 0.0033998843 0.0024775753 0.002613209 0.0026584202 0.0030472367 0.003535518 0.0031738281 0.003318504 0.0032280816 0.0026493778 0.0028844762 0.0026584202 0.0030381945 0.0030381945 0.0028392652 0.0030472367 0.0033727575 0.0034360532 0.0028483074 0.003056279 0.0033998843 0.00346318 0.0031014902 0.0038067852 0.0033094618 0.0029658566 0.0031195746 0.0030653211 0.0028211805 0.0029929832 0.0032823351 0.0028935184 0.0035536024 0.0024504485 0.0028483074 0.002947772 0.0031195746 0.002540871 0.003137659 0.0028121383 0.0046567563 0.093216084 0.0 2.2816881e-05 1.3690128e-05 3.650701e-05 9.126752e-06 0.0001140844 4.1070387e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.563376e-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 0.008747992 5.4760512e-05 9.58309e-05 9.126752e-06 8.6704145e-05 3.650701e-05 0.00014602803 6.3887266e-05 2.2816881e-05 9.126752e-06 4.563376e-06 2.7380256e-05 2.2816881e-05 0.0 9.126752e-06 9.126752e-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 0.02312719 0.00042895737 0.00089898513 0.0005019714 0.00026467582 0.00012777453 0.001382703 0.0010176329 8.2140774e-05 1.8253504e-05 4.1070387e-05 1.8253504e-05 1.8253504e-05 5.0197137e-05 2.2816881e-05 3.650701e-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 0.006502811 3.650701e-05 0.00043352073 0.0002829293 9.58309e-05 4.1070387e-05 0.0008761682 0.0005658586 1.3690128e-05 0.0 9.126752e-06 9.126752e-06 1.3690128e-05 0.0 4.1070387e-05 0.00042439398 0.006986529 0.00039701373 0.00044721086 0.00026011243 0.0010997737 0.00074383034 0.005206812 0.0031761099 0.00016884491 1.8253504e-05 4.1070387e-05 2.2816881e-05 4.1070387e-05 4.1070387e-05 2.2816881e-05 1.8253504e-05 0.0077714296 0.0002281688 0.0004198306 0.00015971817 0.0008807316 0.0008624781 0.004513179 0.0024459697 0.00029205607 0.0004198306 0.00021447868 1.3690128e-05 0.00020535193 1.3690128e-05 2.7380256e-05 0.00022360543 0.011549905 0.0007529571 0.0006662529 0.00052022486 0.0004928446 0.00047002773 0.0006343093 0.0005749854 0.000460901 0.00033768982 0.00027380258 0.00050653477 0.00037419685 0.00030574622 0.00025554906 0.0005156615 0.025942793 0.0019941954 0.0022588712 0.001382703 0.0020170123 0.0020352658 0.0076573454 0.004914756 0.0010723934 0.0013507593 0.0011545342 0.00074383034 0.0008533513 0.00080771756 0.0007849007 0.001104337 0.004280447 0.0006479994 0.00067537965 0.00023729556 0.00054760516 0.00044721086 0.00037876022 0.0004380841 0.0005247883 0.00017340829 0.00031030958 0.00016428155 0.000109521025 0.00011864778 0.00017340829 0.00011864778 0.0037328417 0.000100394274 0.00015059141 0.00016428155 0.0003605067 0.0006297459 0.0004015771 0.0003833236 0.00035594334 0.0005932389 0.00034225322 0.0001916618 0.0003239997 0.0005247883 0.0004380841 0.00065256277 0.009660668 0.0013690129 0.00075752044 0.0012823087 0.000958309 0.0012868721 0.0015971817 0.0009446189 0.00097199914 0.00097199914 0.0018162237 0.0016930125 0.001528731 0.0013598861 0.0009126752 0.0009263654 0.005882192 0.0024459697 0.001213858 0.002414026 0.0009765625 0.0013690129 0.0025691807 0.0011636609 0.00071645004 0.0010267596 0.0016793224 0.0020808994 0.0012458017 0.0018162237 0.0007118867 0.0007255768 0.041517597 0.03977895 0.038720246 0.04190092 0.039327174 0.04079658 0.040390443 0.045747846 0.0398976 0.040677935 0.04060036 0.04545579 0.04064599 0.045533367 0.047007337 0.044899058 578.0 10.823529 6256.0 0.014226343 0.0033567776 0.0060741687 0.0044757035 0.0028772377 0.003516624 0.0054347827 0.003196931 0.00463555 0.0033567776 0.0039961636 0.0038363172 0.0054347827 0.0068734013 0.019980818 0.003516624 0.0095907925 0.0055946293 0.004955243 0.006393862 0.005274936 0.004315857 0.0028772377 0.00415601 0.004955243 0.00415601 0.00463555 0.003516624 0.0068734013 0.00879156 0.0065537086 0.0054347827 0.0036764706 0.011508951 0.0060741687 0.013107417 0.007512788 0.005914322 0.005274936 0.0051150895 0.004315857 0.008152174 0.0022378517 0.0055946293 0.007512788 0.014066496 0.0039961636 0.0044757035 0.006713555 0.003516624 0.008152174 0.0155051155 0.0092711 0.0028772377 0.0047953962 0.0071930946 0.0033567776 0.0033567776 0.01710358 0.0030370844 0.00463555 0.00415601 0.0036764706 0.010230179 0.0028772377 0.026694374 0.015345269 0.018861892 0.01662404 0.070812024 0.007992327 0.013746803 0.00879156 0.03516624 0.003516624 0.004315857 0.03884271 0.021579284 0.030051151 0.046195652 0.013107417 0.0039961636 0.039162405 0.044757035 0.05418798 0.025255755 0.0071930946 0.0065537086 0.009111254 0.014546036 0.0044757035 0.0039961636 0.002078005 0.0027173914 0.0028772377 0.0055946293 5.949198 0.0 0.0 0.0 1.0 110592.0 122880.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1321280100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 86016.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9244246 0.0 5.4085865 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 -83044.0 0.0 12728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 91152.0 12728.0 98304.0 0.0 0.0 0.0 0.0 12.0 114688.0 28.0 91028.0 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: 0.1447181 0.008304889 0.0051144 0.005278124 0.016507527 0.0040967544 0.003299436 0.0027242715 0.0109981205 0.0026701028 0.0021484983 0.0023231779 0.006332288 0.00472061 0.004877639 0.009505128 0.02003216 0.002235534 0.0028180021 0.002356653 0.0059129354 0.0056402646 0.0013183138 0.0012282351 0.0044862838 0.0015690733 0.001116854 0.004259261 0.004066931 0.0022410117 0.001101638 0.0012884904 0.0045964476 0.00095556444 0.0014424763 0.001295794 0.025154473 0.0011984117 0.0009458262 0.0009896483 0.0027334013 0.0010462517 0.0009981692 0.0022659658 0.0022501412 0.0012075413 0.002963467 0.000973215 0.0037455691 0.002032857 0.002346915 0.006875803 0.0030431987 0.002220318 0.0018837401 0.0017248851 0.0030505024 0.002588545 0.0018697414 0.005223955 0.003124148 0.0031046714 0.0030346778 0.007755288 0.012524589 0.0049579795 0.0035763672 0.0024424715 0.01070719 0.0054747146 0.0053395964 0.002948251 0.0034564652 0.0022903115 0.0015313376 0.0012623189 0.00749479 0.0035861055 0.002559939 0.0019019992 0.01052399 0.004678614 0.0036226239 0.0041856156 0.0056646103 0.003261092 0.006018839 0.0050724037 0.0027510517 0.0029019944 0.0019196498 0.002378564 0.0029226881 0.0027382702 0.0034041223 0.0036658372 0.002987204 0.004159444 0.0022726608 0.0018356575 0.004451591 0.0053310758 0.0022884854 0.0029013858 0.0056433077 0.004329255 0.0055154935 0.001027384 0.003020679 0.0017194074 0.0024503837 0.00278757 0.002943382 0.0009013955 0.004428463 0.0029494683 0.012267743 0.008778411 0.0018313971 0.0015806374 0.0032988274 0.003755916 0.0011022466 0.000957999 0.0030669358 0.0017370579 0.0023134397 0.0022020587 0.0029799002 0.0015660301 0.0011314614 0.012623189 0.0038033898 0.0077510276 0.0010359049 0.00091600284 0.0026597558 0.012834995 0.0013864813 0.035823926 0.0016652384 0.012472246 0.0010042556 0.0009111337 0.0018021823 0.00091722014 0.0008581821 0.0013055323 0.0014254344 0.0012069327 0.000912351 0.00086426846 0.0016822803 0.0015398586 0.0009105251 0.0010352962 0.0013475284 0.0010687715 0.00089287455 0.0010237321 0.001417522 0.0022848337 0.00086548575 0.0014741255 0.0012763176 0.001003647 0.0008460093 0.00076140836 0.0012483201 0.0009233065 0.00086426846 0.0008606166 0.0011509378 0.0007881885 0.0008161859 0.0010645109 0.0014418676 0.00083627104 0.0008496611 0.0008843536 0.0013286606 0.00091661146 0.0016250681 0.001010342 0.0022757042 0.001182587 0.001034079 0.00093913113 0.0012708398 0.0010614678 0.0011478945 0.001243451 0.009030388 0.003100411 0.0045276713 0.0042178733 0.008340191 0.0013377902 0.004413247 0.0063602854 0.002754095 0.0020152063 0.0012531893 0.0012708398 0.016458228 0.0011478945 0.0016390668 0.0013353557 0.0028259144 0.0014041319 0.0017303629 0.0015076007 0.0013110101 0.0010742492 0.001027384 0.0010292098 0.0025958486 0.0031673613 0.00105599 0.0016141126 0.0016238509 0.0015319462 0.0012111932 0.0010699887 0.0023323076 0.0010352962 0.001054164 0.0010967689 0.001740101 0.001341442 0.0009354793 0.000912351 0.01535659 0.0039561586 0.0010079074 0.003331694 0.0027279234 0.0010705973 0.0010133852 0.0011138108 0.0027705282 0.0013085755 0.0012051067 0.0014741255 0.0022799645 0.0018630463 0.003235529 0.0017808799 0.0036792273 0.0018265279 0.0016664556 0.0018070515 0.0026061954 0.0025362018 0.0029226881 0.031445373 0.029931672 9.1381395e-07 9.1381395e-07 6.092093e-07 1.2184186e-06 1.2184186e-06 2.4368371e-06 1.8276279e-06 1.2184186e-06 3.0460464e-07 0.0 6.092093e-07 3.0460464e-07 3.0460464e-07 3.0460464e-07 0.0 0.0017925984 5.787488e-06 5.178279e-06 2.4368371e-06 4.264465e-06 1.2184186e-06 6.3966977e-06 3.3506512e-05 3.6552558e-06 2.1322326e-06 2.1322326e-06 3.0460465e-06 2.4368371e-06 3.350651e-06 2.4368371e-06 9.1381395e-07 0.0005702199 0.0 1.1574976e-05 4.8736742e-06 1.5230232e-06 6.092093e-07 1.9190093e-05 1.5839441e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005437193 1.5230232e-06 3.0460465e-06 1.5230232e-06 4.8736742e-06 3.350651e-06 2.558679e-05 3.1983487e-05 1.2184186e-06 9.1381395e-07 9.1381395e-07 9.1381395e-07 1.2184186e-06 1.2184186e-06 1.5230232e-06 3.0460464e-07 0.00051295426 3.5029534e-05 1.827628e-05 6.092093e-06 9.442744e-06 7.6151164e-06 1.3707209e-05 1.1270372e-05 1.5230232e-06 1.2184186e-06 9.1381395e-07 1.2184186e-06 3.0460464e-07 1.5230232e-06 3.0460464e-07 2.4368371e-06 0.0015090114 4.264465e-06 4.8736743e-05 2.7719023e-05 0.0003481631 0.0002680521 0.00014560102 0.000106611624 9.7473485e-06 2.4368371e-06 2.4368371e-06 1.0661162e-05 5.178279e-06 2.741442e-06 2.1322326e-06 1.8276279e-06 0.001319852 0.00017941213 4.051242e-05 2.4368372e-05 1.9799301e-05 2.4368372e-05 2.0103907e-05 2.0408512e-05 2.7719023e-05 2.1322325e-05 8.52893e-06 5.787488e-06 7.6151164e-06 4.8736742e-06 2.0103907e-05 0.00012671553 0.019171208 0.0028054088 0.0005626048 0.00036979004 0.0002957711 0.00023485019 0.0006204797 0.00096011383 0.0002555633 0.00058666855 0.00027962707 0.00030430005 0.0016421237 0.00034328943 0.00029942638 0.0024602918 0.015254905 0.0023963246 0.00066038285 0.0020554722 0.009816189 0.0049230205 0.010927997 0.0059851767 0.00029059284 0.000288156 0.00030094938 0.00027993167 0.0030713286 0.00022632125 0.00020195288 0.001337519 0.0028273403 0.00016631414 0.00022632125 0.0019354579 0.0067003886 0.0032254586 0.0068514724 0.0035081317 0.00012854316 0.00010843926 7.280051e-05 5.757028e-05 0.0008388812 5.4524233e-05 4.6299905e-05 7.676037e-05 0.004140491 0.00054706994 0.00036217493 0.00040999785 0.0012510113 0.0007091196 0.0018693587 0.00077247736 0.00017545228 0.000117577394 0.00014072735 0.00014194577 0.00013250302 0.000117272786 0.00012641093 0.00021535548 0.008644984 0.0019147448 0.0013862557 0.013135466 0.0020192242 0.0016792854 0.002782259 0.0021346693 0.0013469617 0.0010463169 0.0010645932 0.0010938353 0.0014270728 0.0010042816 0.0011300832 0.0012342581 0.011185996 0.0037834942 0.0014867752 0.0025373567 0.0021733542 0.0020204426 0.001806001 0.0025218218 0.0033905543 0.00062992243 0.0005376272 0.00075724715 0.001486166 0.00091168174 0.0015285062 0.0019205323 0.06899996 0.020179449 0.018771261 0.0113730235 0.021555347 0.023266617 0.009538085 0.014942991 0.047016338 0.0038633007 0.0034673146 0.0042142053 0.028686753 0.006631243 0.014973755 0.024416804 0.058661982 0.022151155 0.020158127 0.014191531 0.020402724 0.022123741 0.010634967 0.015669167 0.04056024 0.0045060166 0.0043750363 0.0047289873 0.024710748 0.009008073 0.014336218 0.025072617 0.007922767 0.007545971 0.0073150806 0.007596535 0.007505154 0.0072794417 0.0074938834 0.0074405777 0.007447279 0.00763522 0.007407985 0.007462814 0.0072511137 0.0074838316 0.007387272 0.007600495 8119.0 17.493534 142030.0 0.008892488 0.0009786665 0.0011054003 0.0012955009 0.01148349 0.0013659087 0.0009152996 0.0014644794 0.0024361052 0.0011406041 0.0010420334 0.0012250933 0.0025135535 0.0018165177 0.0031401815 0.0011617264 0.0085122865 0.007301274 0.011828487 0.013278885 0.009138915 0.005935366 0.005569246 0.005210167 0.00588608 0.006139548 0.0048792507 0.0060761813 0.0068154614 0.0066957683 0.005843836 0.031676408 0.09224108 0.027128072 0.013046539 0.0063085263 0.010216151 0.017855383 0.012990213 0.0036048722 0.005196085 0.01075829 0.0013870309 0.0016757023 0.022023516 0.0066887275 0.005203126 0.0050059846 0.015792439 0.009730339 0.007892699 0.013764698 0.024924312 0.008110963 0.018594664 0.0067872982 0.010504823 0.0041892556 0.011743998 0.004161093 0.0025839612 0.0043793563 0.004182215 0.014560305 0.0019643737 0.037266776 0.016749982 0.011610223 0.013095825 0.04945434 0.003942829 0.024558192 0.005597409 0.039667677 0.0025980426 0.00294304 0.01461663 0.010356966 0.016862635 0.020523833 0.011384918 0.0011265225 0.033422515 0.018418644 0.039104413 0.009265648 0.006449342 0.0017038654 0.0043230304 0.0070548477 0.0015912132 0.0010138704 0.0027811027 0.0012673379 0.0015278462 0.0017601915 5.8570185 0.0 1.0 0.0 5.0 1643008.0 2342912.0 0.0 1655.0 104.0 1.0 1.0 0.0 0.0 0.0 1413576200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 936448.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 297472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -936448.0 0.0 332800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5824757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1802874 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1802244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.654647 0.0 6.937621 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -58016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 297423.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -702212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -936388.0 0.0 332556.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -5.0 2.0 -1.0 7.0 2.0 9.0 -3.0 -7.0 -3.0 5.0 1.0 -2.0 -1.0 -5.0 -9.0 1.0 1.0 -4.0 -5.0 -1.0 3.0 -2.0 -2.0 -2.0 -1.0 4.0 6.0 -2.0 1.0 7.0 -3.0 -9.0 3.0 0.0 3.0 4.0 -7.0 8.0 3.0 -5.0 1.0 -1.0 3.0 -4.0 0.0 -4.0 1.0 4.0 6.0 0.0 -4.0 0.0 -7.0 -4.0 7.0 -6.0 1.0 1.0 0.0 0.0 1.0 -2.0 6.0 0.0 4.0 7.0 3.0 -2.0 -1.0 1.0 2.0 4.0 0.0 0.0 5.0 -3.0 -3.0 -7.0 4.0 -1.0 -1.0 -2.0 1.0 2.0 0.0 -3.0 2.0 4.0 -2.0 0.0 0.0 -2.0 3.0 -1.0 3.0 -1.0 4.0 1.0 -4.0 -4.0 1.0 -2.0 0.0 3.0 3.0 1.0 5.0 -2.0 2.0 3.0 -1.0 6.0 -5.0 0.0 1.0 -7.0 -3.0 0.0 -1.0 0.0 1.0 -6.0 0.0 7.0 -1.0 6.0 6.0 100223.0 1139280.0 140.0 1136764.0 332556.0 1945600.0 0.0 0.0 0.0 0.0 42216.0 2281472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1068224.0 0.0 0.0 440.0 942080.0 0.0 0.0 0.0 0.0