Input: 0.3279855 0.027273996 0.019601004 0.008579799 0.010253906 0.006487165 0.020577567 0.0038364956 0.011090959 0.0042550224 0.011369978 0.0038364956 0.002580915 0.0029296875 0.006626674 0.0010463169 0.0041852677 0.0047433036 0.005998884 0.0023018974 0.002999442 0.0025111607 0.0009765625 0.0011858259 0.0027204242 0.0011160715 0.0013253348 0.000906808 0.0021623883 0.0017438616 0.001953125 0.000906808 0.006417411 0.0034179688 0.001813616 0.0017438616 0.001813616 0.00055803574 0.0016741072 0.00048828125 0.0043247766 0.00069754466 0.0035574776 0.0011160715 0.0011160715 0.0009765625 0.009416853 0.00055803574 0.0031389508 0.0032087055 0.0014648438 0.0013253348 0.0011160715 0.000906808 0.013811384 0.00048828125 0.000906808 0.00055803574 0.00048828125 0.0004185268 0.00048828125 0.00048828125 0.00055803574 0.00027901787 0.0010463169 0.0055106026 0.0013950893 0.006626674 0.0043945312 0.0026506695 0.00327846 0.00069754466 0.0023716518 0.0039760047 6.975447e-05 0.0008370536 0.0026506695 0.0024414062 0.0020228794 0.0020228794 0.0054408484 6.975447e-05 0.0024414062 0.007254464 0.0034179688 0.0014648438 0.005092076 0.002859933 0.00069754466 0.00027901787 0.00034877233 0.00027901787 0.0020228794 6.975447e-05 0.0002092634 0.0013950893 0.0011858259 0.019880023 0.005231585 0.01046317 0.008579799 0.03390067 0.002232143 0.0055106026 0.0029296875 0.018624442 0.00048828125 0.0020926339 0.013950893 0.011858259 0.017857144 0.021623883 0.0041155135 0.00048828125 0.023297992 0.015136719 0.027832031 0.010532924 0.0037667411 0.0012555803 0.0017438616 0.0043247766 0.0008370536 0.0010463169 0.0002092634 0.001953125 0.0004185268 0.0 0.0061383927 0.001813616 0.00034877233 0.00069754466 0.0004185268 0.0004185268 0.0025111607 0.00034877233 0.00027901787 0.0004185268 0.00013950893 0.0027901786 0.0004185268 0.0002092634 0.00034877233 0.00013950893 0.00048828125 0.00048828125 0.00013950893 0.00062779017 0.00055803574 0.00034877233 0.00055803574 0.00027901787 0.00069754466 0.00027901787 0.0002092634 0.00013950893 0.00062779017 0.0004185268 0.00027901787 0.00027901787 0.0004185268 0.001813616 6.975447e-05 0.0010463169 0.0004185268 0.00048828125 6.975447e-05 0.00062779017 0.0007672991 0.00055803574 0.00013950893 0.00027901787 0.00034877233 0.00055803574 0.00013950893 0.0004185268 0.00034877233 0.0011160715 0.0012555803 0.00048828125 0.00069754466 0.0002092634 0.00055803574 0.00034877233 0.00048828125 0.00048828125 0.0004185268 0.00718471 0.0002092634 0.0004185268 0.00013950893 0.00027901787 0.00034877233 0.0015345982 0.00013950893 0.002859933 0.00034877233 0.00034877233 0.0008370536 0.0002092634 0.0002092634 0.00034877233 0.0002092634 6.975447e-05 0.00069754466 0.0002092634 0.00027901787 0.00048828125 0.0054408484 0.0002092634 6.975447e-05 0.00034877233 0.00034877233 0.00034877233 0.0004185268 0.0009765625 0.00013950893 0.00013950893 6.975447e-05 0.00013950893 0.0004185268 0.0 0.00034877233 0.00013950893 0.00048828125 0.0016043527 0.0002092634 0.0004185268 0.00055803574 0.0002092634 6.975447e-05 0.00034877233 0.0004185268 0.00048828125 0.00027901787 0.0004185268 0.00013950893 0.00013950893 0.0002092634 0.00034877233 0.00013950893 0.00027901787 6.975447e-05 0.00069754466 0.00048828125 6.975447e-05 6.975447e-05 6.975447e-05 0.00027901787 0.00027901787 0.00013950893 0.0002092634 0.00027901787 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.061560996 0.00037560097 0.000788762 0.0019155649 0.0017653245 0.0009765625 0.0065354565 0.0025540865 7.5120195e-05 0.0 3.7560098e-05 0.00018780048 0.0 3.7560098e-05 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 0.06257512 0.0050706128 0.009465144 0.00390625 0.016451322 0.010667067 0.077373795 0.040339544 0.0008638822 0.00048828125 0.0006385216 0.0009390024 0.00045072116 0.00045072116 0.00060096156 0.00048828125 0.099797174 0.009277344 0.012357271 0.002366286 0.0022160457 0.0041316105 0.0033052885 0.0045823315 0.0041316105 0.0014272836 0.0020658053 0.0024789663 0.0013897235 0.0017653245 0.0013897235 0.001164363 0.13435246 0.009051983 0.008375902 0.009652944 0.0048828125 0.00773738 0.016564002 0.008751502 0.0075871395 0.002328726 0.002779447 0.0045072115 0.0037184495 0.0071364185 0.0019155649 0.0014272836 0.033278245 0.0060471753 0.002741887 0.003079928 0.011155348 0.0061974158 0.05352314 0.030123197 0.0013146034 0.00075120194 0.0008638822 0.0022536058 0.0010516827 0.00018780048 0.0008638822 0.00041316106 0.057391826 0.008676382 0.006159856 0.0093900245 0.0071739783 0.005408654 0.02734375 0.014610877 0.0041691707 0.001577524 0.0019155649 0.0046950122 0.0028170072 0.00033804087 0.0016150841 0.00056340144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 283.0 15.109541 4276.0 0.0037418148 0.00070159027 0.0 0.00070159027 0.00023386342 0.0 0.0 0.0 0.00023386342 0.00023386342 0.0 0.00023386342 0.0011693172 0.00046772684 0.013564078 0.0 0.0018709074 0.0037418148 0.0030402245 0.0009354537 0.0011693172 0.00070159027 0.001637044 0.0009354537 0.0009354537 0.00046772684 0.00023386342 0.0 0.00070159027 0.0009354537 0.00070159027 0.0 0.00023386342 0.012628625 0.0030402245 0.01777362 0.011693171 0.0079513565 0.00818522 0.001637044 0.005144995 0.01028999 0.0 0.0018709074 0.0058465856 0.0049111317 0.0035079513 0.0049111317 0.014499532 0.0 0.006080449 0.018241348 0.0074836295 0.003274088 0.0018709074 0.0058465856 0.0009354537 0.00023386342 0.0 0.0 0.0039756782 0.0 0.0 0.0035079513 0.001637044 0.055191766 0.016136575 0.029934518 0.025724977 0.10640786 0.005144995 0.016604302 0.007717493 0.057062674 0.0011693172 0.005144995 0.039990645 0.03695042 0.05238541 0.060336765 0.011927035 0.0009354537 0.07109448 0.042095415 0.08512629 0.032974742 0.009354537 0.0037418148 0.0049111317 0.013096352 0.0023386343 0.0 0.0 0.0 0.0 0.0 4.987074 1.0 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 1426505200.0 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 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 -5.801359 0.0 3.2770607 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 -11828.0 0.0 976.0 0.0 0.0 0.0 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 75.0 19936.0 976.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 28.0 19756.0 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: 0.32785565 0.021661932 0.011726821 0.011011549 0.021709347 0.0052348995 0.0049594846 0.0065817083 0.043078713 0.0014386137 0.006310329 0.009302565 0.008116162 0.003697419 0.00085550104 0.009015044 0.0059289853 0.0010491994 0.001123854 0.0030003067 0.0066523277 0.0004983697 0.0008080853 0.00043077706 0.0055022435 0.0022618317 0.0015828786 0.008571152 0.0065806997 0.00091098755 0.0027874403 0.00048626357 0.006435426 0.0011783316 0.0005851304 0.003618729 0.004892901 0.0018310547 0.00084541255 0.0010562612 0.0039496305 0.0011783316 0.0020681333 0.0038477369 0.003468411 0.0005074493 0.0010491994 0.0022981502 0.0033140576 0.0016726659 0.0033927476 0.0022769645 0.004317859 0.0013417646 0.0012620658 0.00041362667 0.0025311934 0.0004095913 0.0013679946 0.0002279991 0.006956999 0.0011783316 0.0009795891 0.0005377147 0.009452883 0.006153958 0.0026492283 0.0056273406 0.0054709692 0.0016797278 0.0012842604 0.0021791065 0.0034391545 0.0010068279 0.00093519985 0.0005165289 0.002907493 0.0024928574 0.0024050877 0.0020691422 0.0028923603 0.00047314857 0.0013982599 0.0013145257 0.005938065 0.00067693536 0.000783873 0.0005800862 0.0051188823 0.0017785947 0.00045902474 0.0014224722 0.002677476 0.001456773 0.0016262591 0.001475941 0.003186943 0.002005585 0.0016111264 0.0012378535 0.0039950283 0.0022507345 0.0013084727 0.00039546745 0.0055032526 0.0012519773 0.0022759556 0.0058351625 0.019648276 0.0009795891 0.004420761 0.0017342055 0.011624928 0.000588157 0.0017029312 0.0007102273 0.009623378 0.0017342055 0.0019289127 0.0002390964 0.011569441 0.00033090136 0.004385452 0.00017251259 0.00087668677 0.00016746836 0.00023001678 0.0009049345 0.0026421666 0.0003036625 0.0003672198 0.00019773372 0.0010330578 0.00039143208 0.0003833613 0.00024010525 0.0010794648 0.0011278894 0.0009190583 0.00032182175 0.0010623144 0.00028651214 0.0011248628 0.00040152052 0.00097252714 0.0007021565 0.0003298925 0.006631142 0.0031213681 0.0007667226 0.00030668906 0.00019470719 0.00824933 0.001332685 0.0013538707 0.00024716716 0.001084509 0.0002723883 0.00019571604 0.00016847721 0.0010966151 0.0003742817 0.00041564438 0.00015536221 0.0011228451 0.00013215876 0.00024817602 0.00011399955 0.00063254614 0.00056293583 0.00049029896 0.00019470719 0.0006839973 0.0004580159 0.0003631844 0.00024514948 0.0018542581 0.00020580449 0.00026229984 0.00018058336 0.0015465602 0.00019874258 0.00021185756 0.00080203224 0.0023052122 0.001378083 0.0018845235 0.00018461874 0.0008988814 0.00013417646 0.00019369835 0.000119043776 0.0017634621 0.00038638784 0.00011601724 0.00089787255 0.0014749322 0.00026936177 0.0012398711 0.00027137945 0.0010512171 9.987571e-05 0.0002390964 0.00082321797 0.0011884201 0.00019874258 0.00020681333 0.00023102564 0.0016323121 0.0002148841 0.0002390964 0.0001462826 0.0012580304 0.0003833613 0.00018966297 0.00013215876 0.0012227208 9.4831485e-05 0.00025523792 0.00016545068 0.0012015351 8.474303e-05 0.00016948605 0.0001795745 0.0013236054 0.0013468089 0.0001129907 0.00010693763 0.0022628405 0.000119043776 0.00035814018 0.0021357262 0.0010865267 0.00020176911 0.00015334453 0.00039143208 0.0010249871 0.0001795745 0.00047415742 0.0009150229 0.0007798376 0.0001926895 0.00026532638 0.00082725333 0.01711809 0.008376445 0.0004721397 0.00026633524 0.0014789676 0.00010794648 0.00019874258 0.0015647195 0.0034482342 0.004553929 0.006628115 0.06954477 0.008273009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00097252295 5.049444e-06 3.5346109e-06 3.0296665e-06 4.5445e-06 1.5148332e-06 2.5752166e-05 6.5642776e-06 3.0296665e-06 0.0 5.049444e-07 0.0 0.0 5.049444e-07 1.5148332e-06 6.059333e-06 0.0018687993 1.5653277e-05 1.11087775e-05 5.049444e-06 9.089e-06 5.5543887e-06 1.9187888e-05 1.2118666e-05 3.5346109e-06 1.0098888e-06 0.0 3.0296665e-06 6.059333e-06 1.0098888e-06 5.049444e-07 0.00010654327 0.0018344631 1.9692832e-05 6.059333e-06 8.584055e-06 2.27225e-05 3.2316442e-05 3.332633e-05 1.0098888e-05 3.888072e-05 2.171261e-05 3.5346109e-06 2.0197776e-06 3.5346109e-06 2.0197776e-06 5.5543887e-06 2.3732387e-05 0.005904315 0.00015097838 7.372189e-05 5.857355e-05 0.00030296665 0.00012926577 0.0001171471 7.321694e-05 5.4533997e-05 1.716811e-05 9.593944e-06 1.6158221e-05 2.7266999e-05 3.5851055e-05 1.6663165e-05 0.0002514623 0.004152158 0.00017723549 0.000100483936 6.665266e-05 0.00018682943 8.4325715e-05 4.4940054e-05 4.3930166e-05 7.675155e-05 2.4237332e-05 1.5148333e-05 2.1207665e-05 2.8781831e-05 2.3227443e-05 1.4643388e-05 0.00011007788 0.010571516 0.0006387547 0.00033174848 0.0001398696 0.00054533995 0.000118157 0.0005190829 0.00018733437 0.00012219655 0.00017117616 4.5949942e-05 5.7058718e-05 4.948455e-05 7.1197166e-05 5.3019165e-05 0.0008558808 0.013169455 0.0007331793 0.0006488536 0.00033477816 0.0008775934 0.00043576703 0.00060896296 0.0004978752 0.0001807701 0.00027923426 9.997899e-05 0.00010098888 0.00012573115 0.00012421633 0.00010704822 0.0013239642 0.075710356 0.0032811288 0.00463337 0.0036083327 0.007637284 0.0055660023 0.0056740604 0.0047692 0.001054324 0.0027246801 0.0006397646 0.00088314776 0.00059987395 0.00070086285 0.00073822873 0.007942775 0.071743004 0.0052074916 0.0044722925 0.0031952884 0.0049373466 0.003796677 0.0059618787 0.006115887 0.0013981911 0.004111762 0.0008998109 0.0010432152 0.00086547475 0.0009578795 0.0011765205 0.013383047 0.12704402 0.012614016 0.009387926 0.008586075 0.008980436 0.007891776 0.016741432 0.013294176 0.0033821177 0.007222725 0.0017036825 0.002263666 0.0023005267 0.0017117616 0.0027660856 0.036777627 0.15099101 0.021682313 0.017687192 0.014159147 0.013856685 0.010234213 0.025348209 0.020030135 0.004043595 0.010041324 0.0025317913 0.0037901127 0.004433412 0.0023697042 0.0049469406 0.050627746 0.0160744 0.0029493803 0.0011962133 0.0016067332 0.009943871 0.0014663585 0.0021273308 0.0014315174 0.0011275408 0.0009952454 0.0010366509 0.0032988018 0.0016122875 0.0012113616 0.0018809179 0.0037476975 0.003807786 0.0007367139 0.00028680844 0.00044132143 0.003007954 0.000336293 0.00045949942 0.00035548088 0.00040547037 0.00034487704 0.00031104576 0.000890722 0.00041405443 0.00036658964 0.00049737026 0.000781654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1117.0 10.68487 11935.0 0.014746544 0.00025136155 8.378718e-05 0.0011730206 0.00025136155 8.378718e-05 0.0019271051 0.0022622538 0.0077084205 0.0005865103 0.0 0.00025136155 0.0003351487 8.378718e-05 0.0054461667 0.0010892333 0.007875995 0.0061164643 0.0130708 0.0044407207 0.0025974025 0.0024298283 0.0033514872 0.0014243821 0.0025136154 0.0012568077 0.000921659 0.00025136155 0.0 0.0003351487 0.0 0.00016757436 0.0 0.0150816925 0.018684542 0.02404692 0.026644323 0.007792208 0.009635526 0.0294093 0.0019271051 0.009300377 0.0004189359 0.0026811897 0.010473398 0.021198157 0.013824885 0.009467951 0.012568077 0.0036028489 0.009049015 0.029660663 0.012232929 0.00594889 0.0150816925 0.0030163385 0.020108923 0.001843318 0.00025136155 0.0004189359 0.0023460411 0.0 0.0 0.026979472 8.378718e-05 0.04717218 0.012903226 0.0228739 0.022790113 0.07565983 0.0072894846 0.012065354 0.005111018 0.03745287 0.0003351487 0.0037704231 0.039128613 0.02077922 0.042731464 0.042396314 0.010892333 0.0005027231 0.045664012 0.022622539 0.054294094 0.015333054 0.0039379974 0.0072894846 0.011813993 0.006200251 0.0011730206 8.378718e-05 8.378718e-05 8.378718e-05 8.378718e-05 0.0006702974 5.4952126 6.0 0.0 0.0 1.0 991232.0 1056768.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1529082500.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 983040.0 4096.0 4096.0 3.0 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 -983040.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.387853 0.0 3.0705884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -980424.0 0.0 2308.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 2.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 983956.0 2308.0 1052672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 364.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.30106682 0.005309499 0.0035601975 0.0037270642 0.0052848607 0.0018579325 0.0018680118 0.001562276 0.0064282897 0.00092056696 0.00096872315 0.0015857941 0.0035937948 0.0011479089 0.0018086565 0.0030204004 0.009303101 0.002345094 0.0055435603 0.00095528417 0.0015074004 0.009242627 0.0007357816 0.000667467 0.0016193915 0.00039644854 0.00044908436 0.00064058916 0.0013786106 0.0009228068 0.0010258385 0.00055995554 0.002732583 0.0004636432 0.00050396 0.0008959289 0.0018590525 0.0010504767 0.0003516521 0.0004121273 0.0027169043 0.00030685565 0.0006193108 0.0003550118 0.0011232708 0.0005106795 0.0007637794 0.00096760324 0.0018355343 0.001184866 0.00044796444 0.0022734196 0.0021502294 0.0016843464 0.00038748924 0.0011019926 0.0061303936 0.0019441657 0.00091384747 0.0016787468 0.00094408507 0.0011445491 0.00037852995 0.0005218786 0.01360804 0.0009866417 0.0010392775 0.0076657915 0.0035198806 0.011603399 0.0014435655 0.0008836099 0.0015824344 0.0009530444 0.00062043074 0.0016843464 0.0033328554 0.011501487 0.0009060081 0.0009664833 0.016100962 0.007872975 0.009277344 0.0028064973 0.0029431265 0.007981607 0.0037483426 0.0026273115 0.0019329666 0.0008500125 0.0002508601 0.00070106436 0.0010840739 0.0025388384 0.00082761433 0.0020270392 0.0014547645 0.0031928667 0.0011445491 0.0012341421 0.0030528777 0.004775301 0.0014469252 0.0008544922 0.0077531445 0.0021356705 0.006152792 0.00047932196 0.0030069614 0.0015902738 0.0018680118 0.003238783 0.002078555 0.00031917467 0.0024100489 0.002192786 0.0043486147 0.0026553092 0.0014245269 0.0006831458 0.0013752509 0.001524199 0.00030685565 0.00041100738 0.0010381576 0.004620753 0.0003426928 0.0004513242 0.0038222566 0.0007951369 0.0002922968 0.00403504 0.0009261665 0.005971366 0.00026541893 0.00027101848 0.001109832 0.012128637 0.00027885786 0.020994974 0.00097432267 0.024146404 0.00053755735 0.00050731975 0.0047820206 0.0016171517 0.00092056696 0.0006495484 0.0016496291 0.0028053774 0.0010751147 0.0013293345 0.0024649245 0.0032914188 0.0006540281 0.0003830096 0.0009642435 0.0007570599 0.00040204808 0.00040092817 0.0015443574 0.0011423094 0.00029677644 0.00045916357 0.002369732 0.00042780605 0.0005274781 0.0007402612 0.0018187356 0.0004826817 0.00078057806 0.00074138114 0.0015701154 0.00049948035 0.00045580382 0.000705544 0.001336054 0.00036733085 0.00030461582 0.00031021537 0.0021580688 0.00059915247 0.002080795 0.00043228568 0.0019822428 0.0014469252 0.0019004892 0.0004244463 0.001109832 0.0011535084 0.00040428792 0.0005442768 0.004525561 0.00047036266 0.0012285425 0.0024514855 0.003553478 0.00086009176 0.0006865055 0.0034168488 0.002431327 0.00064842857 0.00038524944 0.00041996667 0.0027784994 0.00095080456 0.0003225344 0.00074362097 0.004120153 0.00051851885 0.0020225595 0.0020628762 0.0029453663 0.00068090594 0.0037640212 0.0020214396 0.0042153453 0.000352772 0.0007223427 0.0032152648 0.0040328 0.0005521162 0.0005465166 0.00057899405 0.0031200724 0.00052971795 0.0031603891 0.00048604142 0.003440367 0.000932886 0.00061707105 0.00045804365 0.004439328 0.0011826261 0.0004972405 0.0012878978 0.003980164 0.00037629015 0.0006349896 0.00047036266 0.0023596527 0.001981123 0.0024649245 0.0010650355 0.0018590525 0.0012263027 0.0027796193 0.0014637238 0.0022163042 0.0018590525 0.0016160317 0.002130071 0.0048861722 0.0065951566 0.016247671 0.11630165 0.013772222 5.6059844e-07 1.1211969e-06 5.6059844e-07 0.0 0.0 0.0 0.0 1.1211969e-06 0.0 0.0 0.0 5.6059844e-07 0.0 0.0 1.1211969e-06 0.005424911 3.3635906e-06 2.3545135e-05 2.8029922e-06 0.0 2.3545135e-05 1.6817953e-06 1.2333166e-05 0.0 5.6059844e-06 2.6908725e-05 3.3635906e-06 1.2333166e-05 3.3635906e-06 6.7271812e-06 0.00019004288 0.012279348 0.00017098253 6.671122e-05 7.17566e-05 5.5499248e-05 2.1302742e-05 4.9332662e-05 3.0832914e-05 0.00018163389 1.1211969e-06 3.924189e-06 1.1211969e-06 1.34543625e-05 0.0 2.8029923e-05 0.0008022164 0.025887316 0.00021078502 9.642293e-05 0.00034084386 0.000640764 0.000118286276 0.00019340646 0.00023993614 0.00027189025 7.5120195e-05 5.0453862e-05 5.0453862e-05 0.00010258952 0.00011604388 6.895361e-05 0.0013874811 0.009365918 2.2984537e-05 3.0832914e-05 0.00024049674 0.000432782 6.7271816e-05 9.642293e-05 0.0001782703 2.7469325e-05 6.7832414e-05 3.5317702e-05 1.7378552e-05 0.00010258952 6.7832414e-05 2.5226931e-05 0.00070242985 0.007601715 0.0001844369 0.000100347126 0.00013622543 0.00019564886 4.765087e-05 0.00021246681 0.00014575559 4.8211466e-05 1.28937645e-05 1.7378552e-05 2.2423937e-05 0.00013734662 1.5136158e-05 6.166583e-05 0.0013936477 0.014271155 0.0005712498 0.00023264835 0.00035598 0.00089359394 0.000284784 0.00078035303 0.00034757104 0.0001081955 0.00012949824 0.00010258952 8.408977e-05 7.3438394e-05 6.559002e-05 5.774164e-05 0.0011593176 0.028513158 0.00060096156 0.0008369735 0.001150348 0.0014093445 0.000953578 0.0029818232 0.001616766 0.00040923688 0.001301149 0.0006458094 0.0003957825 0.00070186926 0.00066094554 0.0008622004 0.024698285 0.048100468 0.001408784 0.002383104 0.0019049136 0.0043031536 0.002110653 0.0072883405 0.00384066 0.0008358523 0.001947519 0.0011823021 0.0008980787 0.0010724248 0.0011520298 0.0012462103 0.023655012 0.04864425 0.0017154312 0.0021661525 0.00395278 0.0032032595 0.0024217854 0.005613272 0.0037380704 0.0010124408 0.0038300087 0.0018757624 0.0014861465 0.0016139629 0.0017260826 0.0018426871 0.024227943 0.033640392 0.0013364668 0.0025473593 0.003373121 0.0027564627 0.0019839578 0.0046826787 0.0028820366 0.0010062743 0.0033686361 0.0016885225 0.0012534981 0.0012120139 0.0013230123 0.0016324627 0.016828604 0.019140514 0.0016391899 0.0011789385 0.0019228527 0.0022395907 0.0016621744 0.0033243487 0.0023746951 0.0011783779 0.001731128 0.0011604388 0.002183531 0.0012574224 0.0012961036 0.0012579829 0.0104136765 0.01392078 0.0028001892 0.0008840638 0.0030928217 0.0058341483 0.008183616 0.0017154312 0.0012052867 0.0080188 0.0017154312 0.0016834772 0.001722719 0.003139912 0.0069575873 0.0018897774 0.010714718 0.02105944 0.007671229 0.0016526442 0.0024744815 0.011604949 0.014100733 0.004876085 0.0027592655 0.019960107 0.0032262441 0.0020859868 0.0028416736 0.0048631914 0.00592945 0.005323443 0.020455116 0.04144224 0.018989151 0.0034375896 0.005726513 0.028785609 0.031656995 0.01159654 0.006825286 0.044078175 0.0067613777 0.0040189303 0.005606545 0.0115971 0.013074838 0.011338664 0.030609796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2203.0 11.96414 26357.0 0.017680313 0.00083469285 0.0011761581 0.0017073263 0.001365861 0.0012140988 0.0012140988 0.00018970293 0.0018590887 0.0004932276 0.0005311682 0.00064498995 0.0006829305 0.0008726335 0.003111128 0.00083469285 0.0026937816 0.0048184544 0.003300831 0.0022384946 0.0027696628 0.0018211481 0.0019729105 0.0010623364 0.0018590887 0.0009485146 0.004476989 7.588117e-05 0.00037940586 0.00018970293 0.0014796829 0.0017832075 0.0014417422 0.007739879 0.0056152064 0.01752855 0.015707402 0.012785977 0.00902986 0.0059187314 0.003376712 0.0091816215 0.00018970293 0.0017073263 0.012178928 0.010016315 0.0061084344 0.0058807908 0.017111205 0.001365861 0.010699245 0.017452668 0.014569185 0.0030352469 0.008308988 0.0030352469 0.0029593657 0.0027696628 0.0016693857 0.001100277 0.0029593657 0.0003035247 0.001555564 0.021588193 0.0072845924 0.060135826 0.021208787 0.015138294 0.024092272 0.0789923 0.009561027 0.0076639983 0.011571879 0.041355237 0.0049702167 0.0046287514 0.041734643 0.02014645 0.03111128 0.058011156 0.017149145 0.0017832075 0.049626287 0.031452745 0.07250446 0.01946352 0.016466213 0.009978374 0.010623364 0.027468983 0.0009864552 7.588117e-05 0.00041734643 0.0012899799 0.00015176235 0.0017832075 5.4642 6.0 0.0 0.0 4.0 892928.0 905216.0 0.0 0.0 137.0 0.0 1.0 0.0 0.0 0.0 1517976700.0 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 14.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 786432.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -786432.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6573467 0.0 4.514175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -783576.0 0.0 95800.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 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 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 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 1.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 784580.0 95800.0 806912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 756.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14014101 0.008491244 0.0041184127 0.0033686096 0.006140312 0.0038847872 0.001996213 0.0019289388 0.0077561196 0.0014861512 0.0016745194 0.0014812585 0.0045000417 0.0013503794 0.0012109381 0.0038272983 0.0060644755 0.0014812585 0.0011681272 0.0008819054 0.0024316616 0.0019509558 0.0007559189 0.0008134079 0.0022714264 0.0007436872 0.0008183006 0.0007008763 0.0015925671 0.0005956837 0.0005858983 0.0005577654 0.0038297446 0.0005785593 0.0006433873 0.0005357484 0.004100065 0.0013002295 0.00045868865 0.0005540959 0.0011681272 0.0006446105 0.00057611294 0.0009308322 0.0010910674 0.0023117908 0.0006678507 0.000511285 0.0066699446 0.0031582243 0.0042762016 0.010520483 0.004454784 0.0024120908 0.0038591006 0.0020561484 0.0050186655 0.002485481 0.00070576894 0.0014641342 0.0016463865 0.0009638578 0.00045991183 0.0005222935 0.011631121 0.0038811178 0.004842529 0.008721201 0.0038224056 0.032169364 0.0032291682 0.0026762953 0.003342923 0.0035056046 0.002162564 0.002326469 0.0026775186 0.0043349136 0.0011461101 0.001513061 0.008951156 0.00211853 0.002031685 0.0096398005 0.0031667866 0.013672592 0.0031839109 0.0020708265 0.0019032522 0.0064363196 0.002709321 0.003220606 0.0015473098 0.004581994 0.0023497092 0.0035618704 0.005696302 0.004583217 0.00216868 0.003472579 0.009683835 0.006312779 0.00443766 0.0017711498 0.008359143 0.004431544 0.004100065 0.0015937902 0.0039875335 0.0019240461 0.0048217354 0.0042969952 0.0036976421 0.0019142607 0.005281647 0.00403646 0.010639131 0.005720765 0.002254302 0.0013161306 0.0033808413 0.0012488563 0.00052473985 0.000583452 0.0016341548 0.0024891505 0.0010507029 0.00086478103 0.0051837936 0.001144887 0.0010763895 0.008959719 0.0030860573 0.0031900269 0.00102257 0.00061158487 0.0026322613 0.015015632 0.0022078215 0.05113828 0.0011828052 0.010875203 0.0008476566 0.00067274336 0.0026261455 0.00043911795 0.0007192238 0.0006384946 0.0011106381 0.00092593953 0.0014947135 0.00056143495 0.0011607881 0.0005822288 0.0004941606 0.00070454576 0.0009455102 0.00047092035 0.00045991183 0.00041465455 0.0008867981 0.0032915499 0.000461135 0.0025221761 0.0014078685 0.00080851524 0.0005577654 0.00044768013 0.0010348016 0.00045257283 0.0005039459 0.0004819289 0.0008378713 0.0004452338 0.00073390186 0.0006507263 0.0013100149 0.00067763607 0.0017112145 0.0005308557 0.00086845056 0.000662958 0.00070454576 0.0015619878 0.0031154135 0.002506275 0.004599118 0.00081463106 0.0009895443 0.00047458988 0.00084398716 0.0007069921 0.011863523 0.0011363247 0.002261641 0.010234262 0.004309227 0.0010470334 0.0035178363 0.0033306913 0.0018494327 0.0017454632 0.00097242 0.0012879978 0.0016635109 0.00088312855 0.0009809822 0.00093205535 0.0028426466 0.0011375479 0.0029417232 0.0013381477 0.0017931669 0.00075958844 0.0015864512 0.0008660042 0.0033306913 0.0006470568 0.0010739431 0.0017674803 0.0014800354 0.00071066164 0.00055654225 0.00083297864 0.0024120908 0.0006507263 0.00086845056 0.000979759 0.002405975 0.0024047517 0.00054431055 0.00068619824 0.027303595 0.005959283 0.001081282 0.00583452 0.0064607826 0.0010311321 0.00067274336 0.00074613356 0.007162882 0.0009663041 0.0017968364 0.0009088151 0.0090367785 0.002146663 0.004051138 0.002564987 0.009956602 0.0030200062 0.0030395768 0.003572879 0.014724517 0.0039520618 0.0042541847 0.068173364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001755852 0.0 0.0 0.0005115619 0.00024199636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015982786 0.0 0.0 0.0077371444 0.0051382873 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038970602 0.0 0.0 0.0028671974 0.0020186785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054464495 3.675894e-06 1.776682e-05 6.616609e-05 0.00014703575 7.474318e-05 6.12649e-06 7.351788e-06 1.5316225e-05 0.0 0.0 1.837947e-06 7.964437e-06 3.063245e-06 4.901192e-06 0.0003541111 0.0060229525 0.00020339947 0.00021075126 0.0005440323 0.0018875715 0.00048215475 0.002417513 0.0010519184 0.00019237178 9.924914e-05 9.12847e-05 7.413053e-05 0.0006634989 0.00037555385 0.00039577126 0.002853719 0.013161538 0.00063347904 0.0009342897 0.00205605 0.004079017 0.0035650046 0.006881886 0.0031704586 0.00044845906 0.00023280662 0.00030693715 0.00032654192 0.0020572753 0.0010911279 0.001108282 0.008880347 0.020519452 0.0012871756 0.0012185589 0.0020529868 0.0072280327 0.0025302405 0.0066104825 0.0032170198 0.0023629873 0.0009630842 0.0009649222 0.0013196459 0.004009175 0.0026178493 0.0026417426 0.009465427 0.019980934 0.0015432629 0.0012363257 0.0022404573 0.009314715 0.0039956965 0.0058152643 0.0033671188 0.005742359 0.0013968397 0.00175769 0.002277829 0.0038168032 0.0017515635 0.003996922 0.009557937 0.073168054 0.009704973 0.0071974006 0.009965961 0.041581713 0.030253833 0.021061035 0.01379318 0.050886627 0.005230797 0.005986193 0.009038411 0.01659605 0.0069927755 0.027128097 0.060373496 0.059570923 0.010014361 0.009014517 0.011538631 0.027799562 0.030257508 0.017469686 0.014443813 0.049252693 0.0058183274 0.006408921 0.009046375 0.02085886 0.010813255 0.024797581 0.047976542 0.00023096867 4.7173973e-05 8.515821e-05 5.1462517e-05 8.944675e-05 9.802384e-05 4.288543e-05 6.4940796e-05 0.00013294483 2.8794502e-05 3.3083044e-05 2.8794502e-05 8.3320265e-05 5.942695e-05 7.229258e-05 0.00010598828 5347.0 18.230036 97476.0 0.0048011816 0.00011284829 0.0004924289 8.2071485e-05 0.0029545734 0.0005026878 0.00011284829 0.00015388403 0.00034880382 0.00035906275 0.00064631295 0.0005129468 0.00044113424 0.012567196 0.0009951168 0.00041035743 0.030869137 0.01887644 0.031669334 0.015121671 0.028273627 0.016629735 0.028940458 0.013531536 0.03171037 0.016793877 0.0007283844 0.00045139316 0.0008412327 0.00047191104 0.00010258936 0.00012310722 0.0012002954 0.0075197998 0.006524683 0.012792893 0.0062887273 0.0142188845 0.004165128 0.002708359 0.0043395297 0.015511511 0.0021646353 0.003518815 0.006011736 0.0058783703 0.003908654 0.008125077 0.0113771595 0.0023082604 0.005273093 0.018045468 0.011520784 0.005519307 0.00520128 0.0030776807 0.0024518855 0.00471911 0.0013439206 0.0026365465 0.0010258936 0.0024621445 0.0025647338 0.01956379 0.00022569658 0.028766055 0.014947269 0.025575526 0.02716566 0.048432436 0.014424063 0.010812918 0.02128729 0.032387458 0.010125569 0.0077454965 0.025278017 0.011982436 0.036778282 0.032387458 0.021041077 0.0042266813 0.037455373 0.026806599 0.040799785 0.011479748 0.013275063 0.006832451 0.016845172 0.005888629 0.0009233042 0.0002564734 0.00048216997 0.00022569658 0.00026673233 0.00027699125 5.7469106 0.0 2.0 14.0 4.0 817548.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6019 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.054950513 0.006625784 0.007441644 0.0052477564 0.0066699046 0.0038263435 0.0054385774 0.004623085 0.004380055 0.003742147 0.004890381 0.0037358967 0.0035744894 0.0035612532 0.003914952 0.0036219188 0.0032957955 0.0048374366 0.0038164165 0.004292549 0.003314179 0.003459041 0.004008708 0.004084448 0.003592873 0.003517133 0.0034538936 0.0035520615 0.0036255955 0.0036671422 0.0037178807 0.0039208345 0.0042587235 0.003039897 0.0031807146 0.0033002074 0.0032310854 0.0035222804 0.0033696971 0.003459041 0.0041362895 0.0033046196 0.0038689931 0.003727808 0.003635155 0.003777811 0.0036958207 0.0035987557 0.0037642072 0.0035344134 0.0033582994 0.0036781724 0.0034340394 0.0034068318 0.0034976464 0.003529266 0.003639567 0.0035156622 0.0034862487 0.0034527907 0.0035777984 0.0035818429 0.0036035355 0.0037936207 0.0030472504 0.0033145465 0.0033336654 0.0036028 0.003357564 0.003568239 0.0035266923 0.003422274 0.003072252 0.0034630853 0.0033689619 0.0034101408 0.0033645497 0.0034741154 0.0035230156 0.0036178746 0.003327415 0.0033722708 0.003457938 0.0037491329 0.003492499 0.0033939634 0.0036899378 0.0035851519 0.0038844354 0.0035891961 0.0036671422 0.0034730125 0.0032869712 0.0036046384 0.0035733865 0.004313139 0.0032358652 0.0043815253 0.0036248602 0.0040410627 0.0037403086 0.0058584567 0.0037006002 0.0041006254 0.0038064893 0.004835598 0.0033774183 0.003631846 0.004081874 0.00393738 0.004489253 0.0056430018 0.0041583497 0.003494705 0.004895896 0.004817215 0.005254007 0.0041432753 0.0036075797 0.0036660393 0.003858331 0.0038465653 0.0037895765 0.005215769 0.0036380964 0.004437779 0.0037572214 0.0038943624 0.0039590723 0.0033847715 0.0030928415 0.0034226417 0.003131447 0.003293957 0.0035263246 0.0035877256 0.0035925054 0.0034435987 0.0033549904 0.0037836938 0.0033803596 0.003597285 0.0035322073 0.0036483912 0.0030266608 0.0034053612 0.0031571838 0.0033336654 0.0033406513 0.0034252154 0.003426686 0.0035763278 0.0032696908 0.003350946 0.003441025 0.0034443343 0.0035899316 0.003510147 0.003605006 0.003664201 0.003254984 0.0034564673 0.003414553 0.003620816 0.0032314532 0.0034292596 0.003356461 0.0036403025 0.0033226353 0.003334033 0.0034355102 0.0035763278 0.0033719032 0.0035311044 0.0035149269 0.0036939823 0.003250572 0.0035248538 0.0033105023 0.003530369 0.003608315 0.0034248477 0.0032799856 0.0036164038 0.0034248477 0.0034674974 0.0035759602 0.0035432375 0.003455732 0.0036086827 0.00362964 0.004050622 0.003223732 0.003353152 0.0031748319 0.0034274214 0.0035027938 0.0035340458 0.003580372 0.0035675038 0.0031685815 0.003207187 0.0033557257 0.0035733865 0.0032814562 0.0035175006 0.0035722833 0.0036814814 0.0035612532 0.0034866163 0.003367491 0.0036311105 0.003324106 0.0035542676 0.0034064641 0.0035866227 0.003480366 0.0034355102 0.0034472756 0.003499117 0.0034215387 0.003654274 0.003617507 0.00387267 0.0033928603 0.0035127208 0.0036421407 0.0035483849 0.0033527843 0.0035336781 0.0034049936 0.0036925115 0.003566033 0.0034954404 0.0036410377 0.0036892025 0.0036178746 0.003498014 0.0034373484 0.0038362707 0.0035557381 0.003761266 0.0036469204 0.0036322137 0.003708689 0.0037358967 0.0035759602 0.0038498745 0.0038443594 0.0037222928 0.00387267 0.003879288 0.0039701024 0.003953925 0.004144746 0.008181765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013750957 1.2689795e-05 9.931144e-06 9.563324e-06 8.827684e-06 3.4391185e-05 9.747234e-06 8.092044e-06 8.459863e-06 3.8621115e-06 4.5977517e-06 3.8621115e-06 5.333392e-06 3.8621115e-06 4.413842e-06 3.8621115e-06 0.00033986583 4.046022e-06 2.574741e-06 2.574741e-06 2.390831e-06 1.2138065e-05 2.7586511e-06 1.6551907e-06 2.390831e-06 7.356403e-07 7.356403e-07 7.356403e-07 1.6551907e-06 7.356403e-07 7.356403e-07 9.1955036e-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 0.0012011167 2.8322153e-05 4.2851047e-05 3.1448624e-05 2.2069209e-05 2.537959e-05 6.142596e-05 4.4690147e-05 1.3425435e-05 5.5173023e-06 4.413842e-06 3.3103813e-06 5.5173023e-06 6.9885828e-06 4.5977517e-06 5.5173023e-06 0.0011067708 1.4161076e-05 5.333392e-06 8.092044e-06 8.459863e-06 4.781662e-06 1.2505885e-05 1.8207098e-05 3.7333746e-05 1.5632357e-05 1.8758828e-05 2.9977342e-05 1.5816266e-05 1.48967165e-05 2.9793433e-05 0.0001660708 0.008337563 0.00041710804 0.00035237172 0.0002462556 0.00086253823 0.0007904455 0.004750213 0.0027146966 0.0004362347 0.00012119674 0.0001588983 0.00018997911 7.448358e-05 8.2759536e-05 0.00010280573 0.00070143305 0.017958635 0.0014479241 0.0020193327 0.0009585393 0.0012395539 0.0011510932 0.005266081 0.0037502942 0.00056717865 0.0002734743 0.00029903778 0.0003122793 0.000153381 0.00020763447 0.00019071475 0.0011163341 0.02288209 0.0038003179 0.0026891332 0.0009923788 0.00059807557 0.0011906339 0.0017173523 0.003177966 0.00085499795 0.00064883474 0.000560374 0.00052304025 0.000460143 0.0005248794 0.00050060323 0.0018170315 0.013934682 0.002050965 0.0010876441 0.0007707671 0.0005199138 0.0007520083 0.0012132548 0.0013331642 0.0012235538 0.00088092923 0.00056055794 0.00054915546 0.0007461232 0.0009070445 0.0008434116 0.0023820032 0.0056059468 0.0006286046 0.00038179732 0.0004421198 0.00029112966 0.00041122292 0.00046253385 0.000507224 0.0006102136 0.00034170493 0.0003303025 0.0003104402 0.00032184264 0.00027089953 0.00030363555 0.00083311263 0.002247381 0.00019549641 0.00016128914 0.00016165695 0.00014161076 0.00018997911 0.0002721869 0.0002319106 0.00024129002 0.00017655367 0.00023595663 0.00018814001 0.00022510593 0.00017949623 0.00022584158 0.0005758224 0.0011281044 0.00016184087 8.717338e-05 9.655279e-05 0.00010464483 0.0001223002 0.00013738082 0.00013719691 0.00012432321 0.0001239554 0.00016312824 0.0001535649 0.00015816267 0.000121380646 9.894362e-05 0.00047117763 0.0007944915 0.00016165695 0.00017030073 0.00016000177 0.00017857668 0.00016220869 0.00018666872 0.00015687529 0.00013425435 0.00013039225 0.00012358757 0.00012836923 0.00012726577 0.00011384034 0.00013223135 0.00015246145 0.049232174 0.051247276 0.050083864 0.05296224 0.050475225 0.052610602 0.052361038 0.054379635 0.05149942 0.051865585 0.052746512 0.053930342 0.05244821 0.053932916 0.054444924 0.05683465 13428.0 7.840036 105276.0 0.007437593 0.005566321 0.005813291 0.005699305 0.0067916713 0.0055378242 0.0055473233 0.0060792584 0.0056043165 0.0058227894 0.005442836 0.0061932444 0.006278734 0.0078460425 0.008301987 0.0063167294 0.009166381 0.007855542 0.007124131 0.007855542 0.0069151563 0.0066491887 0.006991147 0.0069056577 0.0063167294 0.0068961587 0.006459212 0.0056328126 0.007960029 0.0068866597 0.006829667 0.006744177 0.0047874157 0.010543713 0.009213876 0.0118355565 0.009251871 0.012357992 0.009831301 0.007152627 0.0062407386 0.009992781 0.00614575 0.0069246553 0.008311486 0.0081975 0.0077415556 0.008938409 0.008112011 0.006088757 0.009517839 0.013972796 0.010752688 0.008244994 0.007675064 0.008026521 0.006183746 0.0057562976 0.0076275696 0.0060127666 0.0057183024 0.00614575 0.006221741 0.016708462 0.0056518107 0.026302291 0.009992781 0.017686842 0.017411375 0.054608837 0.010800183 0.014799194 0.009983282 0.029826362 0.0062882327 0.008938409 0.02015654 0.015350128 0.026929215 0.027537141 0.01483719 0.0060792584 0.031460162 0.025513887 0.04245982 0.015673088 0.009679319 0.007836544 0.010144763 0.0128424335 0.006877161 0.005746799 0.006031764 0.0065447018 0.0062407386 0.0060697594 6.2953467 1.0 3.0 0.0 28.0 2719829.0 720896.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1531761700.0 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 11.0 0.0 4.0 0.0 4.0 0.0 636928.0 512.0 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 -636928.0 0.0 61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8594465 0.0 6.8906813 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 -636500.0 0.0 61832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 644604.0 61832.0 647168.0 0.0 0.0 0.0 0.0 12.0 712704.0 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: 0.31834066 0.020947482 0.010577987 0.011607482 0.022768093 0.007067835 0.005146038 0.007687909 0.048756827 0.0020147003 0.004900817 0.011400071 0.0066782185 0.00422889 0.0011634489 0.0052418215 0.005572024 0.0009290307 0.0009063451 0.0026268524 0.0058006803 0.0006330372 0.00085665274 0.0005505767 0.0047020474 0.0021731397 0.0017655184 0.007882358 0.0056166747 0.0010096907 0.0022973705 0.00046559563 0.009844844 0.0011259996 0.00066976633 0.00338268 0.0039926716 0.002061872 0.00062403496 0.00097224145 0.0031684267 0.0016031181 0.0013643788 0.0041194228 0.0032933778 0.00053869374 0.000946315 0.0024471676 0.0032836555 0.0018695842 0.0033369486 0.0022858477 0.004539287 0.0012498704 0.001195857 0.00038997683 0.0019909344 0.00062115426 0.0012217833 0.0004731575 0.008264052 0.0015638684 0.0018170112 0.00093515223 0.005649083 0.0032649308 0.0020568308 0.0069328016 0.00575927 0.0024190808 0.0016520902 0.002351384 0.0042389724 0.002444287 0.0008854599 0.000660404 0.003257369 0.002734159 0.0036012542 0.0018731852 0.0041006985 0.00073998375 0.0018083691 0.0016812575 0.0049263835 0.00092795043 0.0011281602 0.00058586546 0.004821597 0.0032303622 0.0004526324 0.0024752547 0.0021047227 0.0024576103 0.001856621 0.0027157944 0.0029451714 0.0022365153 0.0022995311 0.000986645 0.003608096 0.0017118651 0.0011015135 0.0003359634 0.0047618225 0.0014291949 0.0018796668 0.0073879547 0.013283338 0.0011112359 0.0047218525 0.0021529747 0.012048952 0.0003669311 0.0014594424 0.00062043406 0.008192034 0.00181233 0.002524947 0.00018436578 0.011933723 0.00019336802 0.005629278 0.00012026986 0.0009805235 0.00015591872 0.00025962447 0.00083864824 0.003981149 0.00040978176 0.00031399797 0.00016888193 0.0009646795 0.00025278277 0.00048324 0.0001836456 0.0012739963 0.0010435391 0.0009837643 0.0003269612 0.0008397285 0.00015843935 0.0012646341 0.0003507271 0.0010276953 0.0009121065 0.00031903922 0.008199956 0.002863071 0.001155887 0.00013143264 0.00037629344 0.0092319725 0.0013402528 0.0012019784 0.00012279049 0.0012268246 0.00012783175 0.000173203 0.0001634806 0.0009682804 0.00022181508 0.000571822 9.794432e-05 0.0014792474 9.4703515e-05 0.0002178541 0.0006398789 0.0009416338 0.00033164234 0.0008404487 0.0001703223 0.00094487466 0.0002110124 0.00031435807 0.00016059988 0.001163809 0.00015483845 0.00033668362 0.00014403577 0.001256712 0.00013683397 0.00021713391 0.0008570128 0.0013578972 0.0009848445 0.0013845438 8.7861816e-05 0.0006593237 0.00011738915 0.00023369803 0.000173203 0.0012635537 0.00043066693 0.00013899451 0.0009628791 0.0010773875 0.00025278277 0.0008015591 0.00047891893 0.0009265101 0.0001566389 0.0002315375 0.00096792035 0.0010957521 7.0577524e-05 0.0003132778 0.00014583621 0.0010518212 0.00012315057 0.00017428328 0.00011810933 0.00073350215 0.00010406584 0.00013467344 0.00012207031 0.001574671 7.2377974e-05 0.0001840057 0.00017608372 0.0007172981 7.741922e-05 0.00012567121 0.0001598797 0.0008339671 0.0009780029 0.00017752408 0.00011702906 0.00197329 0.000119909775 0.00033884414 0.001908834 0.00088581996 0.0004763983 0.00017572363 0.0005199691 0.0012977623 0.000120990044 0.0008645747 0.0008645747 0.00078751554 0.0001292721 0.00028447065 0.00094343425 0.020222982 0.011605321 0.0005206893 0.00020813168 0.0012351067 0.00011198781 0.00025026215 0.0017993668 0.003483505 0.004605544 0.0067063053 0.06886602 0.002582073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00033662768 3.6022223e-07 0.0 1.0806667e-06 0.0 0.0 0.0 3.6022223e-07 0.0 0.0 0.0 0.0 1.0806667e-06 0.0 0.0 2.9358112e-05 0.00033608734 3.6022225e-06 5.4033335e-06 7.2044446e-07 4.502778e-06 2.5215556e-06 6.8442228e-06 3.6022225e-06 1.4408889e-06 1.8011112e-07 0.0 1.0806667e-06 5.4033336e-07 7.2044446e-07 3.6022223e-07 1.2607778e-06 0.0009540486 2.8637669e-05 9.906112e-06 6.1237783e-06 6.213834e-05 1.3328223e-05 3.2420003e-06 4.142556e-06 5.0431113e-06 2.1613334e-06 2.3414445e-06 2.7016667e-06 1.9812223e-06 1.6210001e-06 4.8630004e-06 4.322667e-06 0.003026047 8.555278e-05 9.005556e-06 1.0446445e-05 0.00022459857 5.133167e-05 2.7376891e-05 1.13470005e-05 3.0618892e-05 1.440889e-05 3.854378e-05 1.765089e-05 1.2067445e-05 1.116689e-05 1.1887334e-05 0.00010662578 0.0049397275 0.00018353324 0.000100502 6.9522896e-05 0.00032311934 5.9076447e-05 3.6202335e-05 5.8896338e-05 5.601456e-05 4.7549336e-05 3.9624447e-05 3.2780223e-05 4.466756e-05 4.304656e-05 4.2866446e-05 0.00019361946 0.008952243 0.00044937726 0.00029394135 0.00024333013 0.00041353513 0.00011599156 0.00026782523 0.0001927189 0.00010266334 0.00013508335 7.834834e-05 3.1699557e-05 6.700134e-05 8.897489e-05 4.7549336e-05 0.0006923471 0.025808483 0.00071666215 0.0020399385 0.0010430235 0.004323027 0.0022184288 0.0007822226 0.0008814638 0.00024170913 0.0010142057 0.00030889057 0.00010356389 0.000113650116 0.00012427667 0.0003787737 0.0023214521 0.09797451 0.0029729141 0.008246748 0.004689373 0.012095002 0.009155588 0.008999252 0.0066660927 0.0013265184 0.0030161408 0.00079933315 0.0006736156 0.00061616016 0.00048485913 0.00067631726 0.011286664 0.077674724 0.004611205 0.004259448 0.0039298446 0.004750971 0.0042225253 0.0068719597 0.0076367115 0.0018726153 0.004421908 0.00102123 0.00092415017 0.0009821459 0.0007161218 0.001098858 0.017388469 0.097781785 0.0098279435 0.0070019998 0.006842241 0.006559647 0.006934098 0.011370955 0.010238597 0.0030139794 0.005652968 0.0019273692 0.0014264801 0.0018810806 0.0011359608 0.0022495878 0.031983413 0.14580572 0.020800672 0.01591624 0.014787123 0.0120588 0.010059026 0.020659106 0.019486403 0.004718551 0.012588686 0.0028972675 0.0029325692 0.0039332667 0.0019372752 0.0050544585 0.05162489 0.014254354 0.0024469898 0.0015691281 0.0018742363 0.003191389 0.0013803716 0.0017976891 0.0014354857 0.0009124429 0.0011788273 0.00051727914 0.0009915117 0.00085894996 0.0004826978 0.0008164437 0.0046544317 0.007945962 0.001672692 0.0007121594 0.0015532783 0.0057876906 0.0018117378 0.0011429852 0.00071882346 0.00072170526 0.00051205594 0.00057923736 0.0021303543 0.0008050967 0.00062372483 0.0012751868 0.0015167157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2043.0 10.026921 20485.0 0.024164023 0.00024408103 0.00014644863 0.0008298755 0.00019526483 9.7632415e-05 0.003954113 0.0047351723 0.0055650477 0.00097632414 0.0 0.0 0.00043934587 0.0010739566 0.0038564804 0.00092750794 0.013570906 0.014059068 0.01918477 0.008445204 0.0055162315 0.003954113 0.0037100317 0.003758848 0.0036123993 0.0024408104 0.0007322431 9.7632415e-05 0.00048816207 0.0012204052 0.0 9.7632415e-05 0.00039052966 0.025335612 0.013033927 0.022699537 0.02162558 0.011667074 0.009860874 0.024115207 0.0012204052 0.012496949 0.0021479132 0.0021479132 0.008005858 0.020649256 0.015377105 0.011813522 0.016255798 0.00014644863 0.008054675 0.02972907 0.008738101 0.007029534 0.024408104 0.0036612155 0.013961435 0.0010251404 0.0007810593 0.0 0.0014644862 0.0 4.8816208e-05 0.021723213 4.8816208e-05 0.040371004 0.012301684 0.020063462 0.019917013 0.06009275 0.013961435 0.011130095 0.0031242373 0.03631926 0.0011227728 0.003026605 0.040371004 0.02279717 0.037686113 0.041005615 0.01571882 0.00029289725 0.049646083 0.024310471 0.042421285 0.014742495 0.003270686 0.004393459 0.00849402 0.0031730535 0.0018550159 0.0 0.00029289725 9.7632415e-05 0.0 0.00024408103 5.593408 6.0 0.0 0.0 1.0 2777088.0 2904064.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1493835600.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 2768896.0 4096.0 4096.0 3.0 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 -2768896.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.408016 0.0 3.018119 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2768756.0 0.0 2260.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2772292.0 2260.0 2899968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 360.0 4096.0 0.0 0.0 0.0 0.0