Input: 0.42946213 0.006159856 0.0032301683 0.0030048077 0.005408654 0.00398137 0.002328726 0.0021784855 0.003079928 0.0017277644 0.0015024039 0.0010516827 0.0020282452 0.0024038462 0.0015024039 0.0021784855 0.0032301683 0.00067608175 0.00075120194 0.00015024039 0.0020282452 0.001953125 0.00015024039 0.00067608175 0.0017277644 0.00060096156 0.00067608175 0.00075120194 0.00067608175 0.00045072116 0.00037560097 0.0015024039 0.0084885815 0.0018780048 0.0005258414 0.00030048078 0.004356971 0.003530649 0.0020282452 0.0029296875 0.0021033655 0.0017277644 0.0008263221 0.00060096156 0.00037560097 0.0033052885 0.0041316105 0.00037560097 0.0057091345 0.0036057692 0.0018028846 0.005483774 0.002704327 0.0018028846 0.001577524 0.00075120194 0.0021784855 0.001577524 0.0021033655 0.0020282452 0.0015024039 0.004281851 0.0011268029 0.0009014423 0.0150991585 0.0021033655 0.00067608175 0.0022536058 0.0013521635 0.0069110575 0.00075120194 0.0008263221 0.0015024039 0.0014272836 0.00030048078 0.0005258414 0.0010516827 0.0013521635 0.0011268029 0.0009014423 0.0048828125 0.0011268029 0.002779447 0.001577524 0.002779447 0.002328726 0.0018028846 0.0014272836 0.0018028846 0.0030048077 0.001577524 0.0012770433 0.0012770433 0.0024038462 0.0015024039 0.005483774 0.0005258414 0.006310096 0.0012019231 0.00398137 0.0048076925 0.0101412255 0.0037560095 0.0018780048 0.0041316105 0.0065354565 0.0029296875 0.00067608175 0.005483774 0.004206731 0.0064603365 0.004356971 0.002704327 0.00015024039 0.0069110575 0.005483774 0.0117938705 0.0064603365 0.001577524 0.0013521635 0.0033052885 0.0012019231 0.0011268029 0.00067608175 0.0009765625 0.0010516827 0.0013521635 0.0005258414 0.0017277644 0.0009765625 0.00037560097 0.0044320915 0.0018780048 0.004206731 0.00030048078 0.00030048078 0.0017277644 0.0053335335 0.0005258414 0.0080378605 0.001577524 0.0033804087 0.001577524 0.0005258414 0.0012019231 0.00067608175 0.0010516827 0.0009765625 0.0008263221 0.0009765625 0.00067608175 0.00075120194 0.0009765625 0.00075120194 0.00060096156 0.00075120194 0.0010516827 0.00075120194 0.0008263221 0.00067608175 0.0015024039 0.0040564905 0.00075120194 0.0012770433 0.0008263221 0.0012019231 0.00075120194 0.00075120194 0.001953125 0.0011268029 0.0008263221 0.0005258414 0.0016526442 0.0011268029 0.0011268029 0.0012019231 0.0017277644 0.00060096156 0.0009014423 0.0011268029 0.0018028846 0.0017277644 0.0008263221 0.0009014423 0.0017277644 0.0013521635 0.0010516827 0.00075120194 0.0014272836 0.0011268029 0.0014272836 0.0013521635 0.0063852165 0.001577524 0.00075120194 0.004356971 0.0021784855 0.0008263221 0.0012019231 0.002704327 0.002704327 0.0021784855 0.0010516827 0.0009014423 0.0051832935 0.0013521635 0.0018780048 0.0012019231 0.0017277644 0.0013521635 0.0012019231 0.0016526442 0.0009765625 0.0009765625 0.0034555288 0.0010516827 0.0018780048 0.0011268029 0.0009014423 0.0018780048 0.0017277644 0.0009014423 0.0011268029 0.0015024039 0.0020282452 0.0010516827 0.0020282452 0.0009765625 0.0020282452 0.0020282452 0.0017277644 0.001577524 0.009164663 0.0012770433 0.0021784855 0.002704327 0.004356971 0.0021784855 0.0020282452 0.0028545673 0.005108173 0.0018780048 0.0033052885 0.0029296875 0.0021784855 0.0017277644 0.0020282452 0.0024038462 0.002704327 0.0010516827 0.0009014423 0.0009014423 0.0036808895 0.0036808895 0.0025540865 0.018554688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07946777 0.00024414062 0.00012207031 4.0690105e-05 0.00044759116 0.00036621094 0.0008951823 0.00069173175 0.00028483072 0.00012207031 8.138021e-05 0.00024414062 4.0690105e-05 4.0690105e-05 4.0690105e-05 0.00020345052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.045288086 0.00028483072 0.0022379558 0.0011393229 0.0020751953 0.0037027996 0.018676758 0.009318034 4.0690105e-05 8.138021e-05 0.0 0.00016276042 4.0690105e-05 4.0690105e-05 8.138021e-05 0.00016276042 0.05493164 0.0010172526 0.00056966144 0.0013020834 0.0013834635 0.0026855469 0.002319336 0.0026041667 0.002726237 0.0025227864 0.002319336 0.0023600261 0.0015869141 0.002400716 0.001953125 0.0006510417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0732015 0.0017089844 0.009521484 0.009969075 0.0040283203 0.0063476562 0.023640951 0.012613933 0.0007324219 0.0014241537 0.0012207031 0.0016276041 0.0024820964 0.003458659 0.0073649087 0.0073242188 0.08162435 0.003458659 0.013183594 0.0048421226 0.009114583 0.00785319 0.008463542 0.006632487 0.006591797 0.0008544922 0.003092448 0.0013834635 0.005167643 0.0021158855 0.004272461 0.00801595 0.028279623 0.00048828125 0.0008544922 0.0008544922 0.00036621094 0.00040690103 0.0021972656 0.001953125 0.0010579427 0.0025227864 0.0040690103 0.004597982 0.006266276 0.0065104165 0.010416667 0.012491862 0.07181803 0.0063476562 0.0094401045 0.0100911455 0.0152994795 0.012898763 0.010172526 0.011149089 0.018595377 0.005493164 0.007975261 0.008544922 0.017008463 0.008504231 0.014241536 0.022420248 0.01957194 0.0032552083 0.0025634766 0.0055745444 0.007405599 0.0050455728 0.0031738281 0.0037434895 0.009195964 0.0008544922 0.0011800131 0.0018310547 0.006184896 0.0010579427 0.0043945312 0.008300781 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130.0 13.192307 1715.0 0.011078717 0.002915452 0.0 0.00058309035 0.016909622 0.0040816325 0.00058309035 0.005830904 0.00058309035 0.0 0.00058309035 0.0017492712 0.00058309035 0.022157434 0.0303207 0.0011661807 0.010495626 0.012827989 0.0023323614 0.0069970847 0.005247813 0.007580175 0.002915452 0.0023323614 0.005247813 0.00058309035 0.0034985424 0.0023323614 0.0034985424 0.009329446 0.0017492712 0.0017492712 0.005247813 0.012827989 0.0017492712 0.013411079 0.0034985424 0.007580175 0.002915452 0.004664723 0.0023323614 0.007580175 0.0 0.00058309035 0.0023323614 0.0023323614 0.002915452 0.002915452 0.011661808 0.0023323614 0.017492712 0.0064139944 0.016909622 0.0034985424 0.0017492712 0.0034985424 0.0069970847 0.0023323614 0.007580175 0.002915452 0.0023323614 0.0017492712 0.0011661807 0.037900876 0.00058309035 0.04606414 0.007580175 0.026239067 0.028571429 0.070553936 0.013411079 0.009329446 0.011661808 0.046647232 0.0 0.002915452 0.034985423 0.027988339 0.04489796 0.03090379 0.012244898 0.00058309035 0.05014577 0.036734693 0.0606414 0.010495626 0.007580175 0.0069970847 0.01574344 0.0040816325 0.005247813 0.00058309035 0.0011661807 0.002915452 0.0034985424 0.0017492712 5.592754 0.0 0.0 0.0 3.0 13312.0 28672.0 1.0 0.0 40.0 1.0 1.0 0.0 0.0 0.0 1541778800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3584.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -6.151656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7903204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.28040117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8146443 0.0 5.460558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2598.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3616.0 0.0 3656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 9420.0 3656.0 20480.0 0.0 0.0 0.0 0.0 356.0 24576.0 28.0 8592.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8624.0 0.0 0.0 188.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.22613676 0.027073933 0.014925373 0.012452274 0.014578272 0.0068986462 0.01878688 0.009024644 0.00854738 0.0065081567 0.0118448455 0.0038181187 0.0040350575 0.0040350575 0.0035144046 0.0017355086 0.0029937522 0.0041652205 0.0034710171 0.0044689346 0.002125998 0.0017355086 0.004208608 0.0033408538 0.0024730996 0.0009979174 0.002256161 0.0017355086 0.0021693856 0.0029069767 0.0014751822 0.0015185699 0.010152725 0.0016053454 0.0022995488 0.002386324 0.0029503645 0.0019958348 0.001648733 0.0015185699 0.0032540783 0.0007809788 0.0050763623 0.005163138 0.0055102394 0.0032106908 0.012755987 0.0049028117 0.018222839 0.0060742795 0.0029069767 0.0032540783 0.002863589 0.0020392225 0.0019524471 0.001648733 0.001822284 0.002125998 0.0016921208 0.0010846928 0.0008677543 0.0020826103 0.0008243665 0.000911142 0.0009545297 0.003948282 0.0014751822 0.0058139535 0.0034276294 0.0020826103 0.0018656716 0.0020392225 0.001822284 0.0034276294 0.00056404027 0.0012582437 0.0015185699 0.0032106908 0.003774731 0.0016053454 0.0023429366 0.0008677543 0.003167303 0.005857341 0.0029503645 0.008243665 0.001648733 0.002863589 0.0008677543 0.0015185699 0.0013016313 0.0007375911 0.0013450191 0.0008243665 0.00060742797 0.0026032627 0.0010413051 0.017702186 0.004382159 0.010716765 0.011801458 0.0303714 0.0041652205 0.0068552587 0.0031239153 0.016747657 0.0007809788 0.0016921208 0.009328358 0.008287054 0.013753905 0.029503645 0.0120183965 0.0009979174 0.021650469 0.016053453 0.02503471 0.009024644 0.0022127733 0.0036879557 0.0012582437 0.0065081567 0.0008677543 0.0025164874 0.0008677543 0.0010413051 0.00065081567 0.0007375911 0.0029937522 0.0015185699 0.0031239153 0.0009545297 0.00065081567 0.0007809788 0.0041218325 0.00047726484 0.0008677543 0.0008677543 0.00065081567 0.0011280805 0.0019090594 0.00052065257 0.0008243665 0.00052065257 0.0003471017 0.0009545297 0.00065081567 0.0009979174 0.0008677543 0.00021693857 0.000911142 0.00056404027 0.00056404027 0.0010413051 0.0009545297 0.0007809788 0.00056404027 0.00060742797 0.00060742797 0.0010846928 0.0015185699 0.0012582437 0.0008243665 0.0010846928 0.0008677543 0.0014317945 0.0010413051 0.0007375911 0.0009979174 0.0008243665 0.0008677543 0.00065081567 0.0006942034 0.00056404027 0.0008243665 0.00056404027 0.0008243665 0.0011714683 0.0007375911 0.00065081567 0.0013884068 0.00052065257 0.0010413051 0.0003904894 0.000911142 0.0009979174 0.00043387714 0.00047726484 0.0007375911 0.000911142 0.0008677543 0.0007809788 0.00021693857 0.0009545297 0.00065081567 0.0011280805 0.000911142 0.002125998 0.0009979174 0.00056404027 0.0012148559 0.0009545297 0.0006942034 0.0003471017 0.00060742797 0.0007375911 0.0009545297 0.0009545297 0.0006942034 0.0003904894 0.0003471017 0.00047726484 0.0007809788 0.0006942034 0.00026032628 0.0008677543 0.0008677543 0.0008243665 0.0009979174 0.0010413051 0.0019524471 0.0015185699 0.0020392225 0.0007375911 0.00060742797 0.0008243665 0.00060742797 0.0008243665 0.00065081567 0.0003471017 0.0006942034 0.00065081567 0.0006942034 0.0006942034 0.0008243665 0.00060742797 0.0008243665 0.00060742797 0.00060742797 0.0008243665 0.00056404027 0.00056404027 0.00047726484 0.00060742797 0.0007375911 0.00043387714 0.00056404027 0.001822284 0.00060742797 0.0003471017 0.00043387714 0.00065081567 0.0006942034 0.0014317945 0.0014317945 0.0045557097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06821986 0.0011160715 0.0041852677 0.003952753 0.01078869 0.0075334823 0.05877976 0.033505395 0.0007207961 0.00018601191 0.0003952753 0.00023251488 0.0002092634 0.00016276042 0.00023251488 0.00025576638 0.15366909 0.014136905 0.020554315 0.00390625 0.0029761905 0.0023949032 0.009416853 0.010556175 0.0045572915 0.0020693825 0.0023716518 0.002046131 0.0027436756 0.0047200522 0.0012555803 0.0007207961 0.012834822 0.0005347842 0.0015345982 0.00051153277 0.0031854538 0.0027901786 0.015857514 0.009905134 0.00013950893 0.00011625744 2.3251489e-05 2.3251489e-05 2.3251489e-05 0.00011625744 2.3251489e-05 0.0 0.058175225 0.00437128 0.006394159 0.003999256 0.006184896 0.0064406623 0.030296689 0.016671317 0.0015578497 0.00086030504 0.0010463169 0.00086030504 0.0013950893 0.0007905506 0.00086030504 0.002952939 0.018717447 0.0033947174 0.008626302 0.008231027 0.0034179688 0.0043480285 0.027553013 0.014880952 0.00074404763 0.00023251488 0.00044177828 0.0002092634 0.00081380206 0.00016276042 0.00046502976 0.002999442 0.019763764 0.0026041667 0.0025111607 0.004092262 0.0018833706 0.002046131 0.0045107887 0.0030226936 0.0016741072 0.00067429314 0.0009765625 0.0005347842 0.00081380206 0.0005347842 0.000906808 0.0010695684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04408482 0.015229724 0.020438058 0.024437314 0.010602678 0.012393043 0.030412946 0.01936849 0.010718936 0.006394159 0.00860305 0.007882254 0.007440476 0.006952195 0.0062779016 0.006859189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 322.0 20.981367 6756.0 0.018650088 0.00044404974 0.0005920663 0.0008880995 0.0016281824 0.00029603316 0.0005920663 0.0005920663 0.0008880995 0.00014801658 0.0011841326 0.0023682653 0.0068087624 0.004144464 0.03197158 0.012433393 0.028863233 0.011841326 0.0060686795 0.0057726465 0.00518058 0.003848431 0.002812315 0.0019242155 0.0025162818 0.0025162818 0.003848431 0.0005920663 0.00044404974 0.003848431 0.00044404974 0.0005920663 0.00029603316 0.009177028 0.0019242155 0.015245708 0.006660746 0.0032563647 0.0022202486 0.00518058 0.0007400829 0.005328597 0.0 0.0022202486 0.0013321493 0.007104796 0.006956779 0.0016281824 0.004884547 0.0 0.00562463 0.012581409 0.0062166965 0.008288928 0.002812315 0.00518058 0.00044404974 0.00029603316 0.0016281824 0.0 0.0014801658 0.00044404974 0.00044404974 0.005328597 0.00029603316 0.048549436 0.011397276 0.030491415 0.032267615 0.08688573 0.009917111 0.018650088 0.008436945 0.045589104 0.0005920663 0.0037004144 0.024718769 0.023534635 0.038632326 0.066903494 0.024570752 0.0011841326 0.0544701 0.044849023 0.074008286 0.025310835 0.0039964477 0.009177028 0.002072232 0.01820604 0.0011841326 0.00014801658 0.00014801658 0.00014801658 0.00029603316 0.0 5.2923946 1.0 22.0 0.0 2.0 23048.0 40960.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1522968800.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 13312.0 512.0 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 -13312.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -5.6577973 0.0 3.3393848 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 -13240.0 0.0 1292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 21344.0 1292.0 24576.0 0.0 0.0 7176.0 15872.0 12.0 32768.0 28.0 21032.0 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: 0.120355375 0.007860137 0.0049304496 0.0068835746 0.00797923 0.003953887 0.0044064405 0.0037157012 0.009122523 0.0040015243 0.0037633383 0.0041444357 0.006502477 0.0030249618 0.0038347943 0.0071455794 0.0077886814 0.0034775152 0.0037871571 0.0036204269 0.005907012 0.0041920734 0.0033107852 0.0024056784 0.0045255334 0.0025724086 0.0021674924 0.0022151296 0.00390625 0.0023818598 0.0031678735 0.0020960367 0.004978087 0.0030964178 0.0032155106 0.0027629572 0.007931593 0.0030487804 0.0025962272 0.0023104039 0.003953887 0.0026438644 0.0028582318 0.0027391387 0.0032393292 0.0014291159 0.0024533155 0.0020245807 0.0042873477 0.0022865853 0.0035251523 0.005335366 0.0035489711 0.0028820504 0.0019769436 0.001834032 0.0035489711 0.0035727897 0.0022865853 0.0044540777 0.0038824314 0.0022151296 0.0021674924 0.0035966083 0.012099847 0.004978087 0.0035727897 0.00390625 0.006764482 0.009217797 0.0038109757 0.0030964178 0.0064786584 0.0030487804 0.0033584223 0.0022865853 0.004430259 0.0046684453 0.003429878 0.0029296875 0.0082888715 0.0044064405 0.0035489711 0.0054068216 0.005216273 0.0041920734 0.0052877287 0.004382622 0.003668064 0.0028582318 0.0023342227 0.0025009527 0.0023104039 0.0033584223 0.0039300686 0.0032393292 0.0032631478 0.0035727897 0.0023104039 0.0024533155 0.0044064405 0.0047160825 0.003429878 0.0016434832 0.006026105 0.003144055 0.004787538 0.001834032 0.0034775152 0.0021674924 0.0028820504 0.0027391387 0.0041920734 0.0020960367 0.004596989 0.0036204269 0.009527439 0.007883956 0.0034775152 0.0022151296 0.0032869664 0.0017863949 0.0023104039 0.0012623856 0.0036442454 0.004215892 0.0023818598 0.001953125 0.004263529 0.004168255 0.0028582318 0.0076219514 0.004858994 0.0060975607 0.0023580412 0.0030011432 0.0038109757 0.009717988 0.0038347943 0.014576982 0.002905869 0.007026486 0.001834032 0.001834032 0.0038586129 0.0027391387 0.00271532 0.0023104039 0.002667683 0.0018578506 0.0020960367 0.0013814786 0.0031202363 0.0024533155 0.0021436738 0.0016196646 0.0019769436 0.0016911204 0.0016196646 0.001834032 0.003382241 0.0030011432 0.0025009527 0.0026915015 0.002953506 0.0018578506 0.0020722179 0.0019293064 0.0025962272 0.0021198553 0.0020007621 0.0015243902 0.0026438644 0.0013100229 0.0013814786 0.0012623856 0.0028582318 0.0020483993 0.0026200458 0.001953125 0.0020007621 0.001714939 0.0015720275 0.0023818598 0.0029773246 0.0016434832 0.0016673019 0.0015005716 0.002477134 0.0016673019 0.0016673019 0.0020483993 0.0066215703 0.0035966083 0.0035251523 0.0047160825 0.0034775152 0.0016434832 0.003429878 0.0034775152 0.004120617 0.00390625 0.0027867758 0.0023342227 0.0030249618 0.0016434832 0.0022627667 0.0027391387 0.0032155106 0.0024533155 0.0026915015 0.0023818598 0.0027629572 0.0013338415 0.0025962272 0.0021674924 0.003382241 0.0028105946 0.0020483993 0.0018578506 0.0027867758 0.0013338415 0.0017625762 0.0016434832 0.00407298 0.002429497 0.0021198553 0.0017387576 0.0037395197 0.0018102134 0.0022865853 0.0015720275 0.008741425 0.0031678735 0.001834032 0.004168255 0.005168636 0.0015720275 0.0017625762 0.0016196646 0.004954268 0.0023104039 0.0027391387 0.0024533155 0.0038824314 0.0013100229 0.0035013338 0.002477134 0.005383003 0.0034060595 0.0025962272 0.0026915015 0.0047637196 0.001595846 0.0030487804 0.013528964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018347168 0.0004394531 0.0005859375 0.00048828125 0.00034179687 0.00036621094 0.00045166016 0.000390625 0.0005493164 0.0004272461 0.00045166016 0.00047607423 0.0003173828 0.0004394531 0.00050048827 0.0004272461 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011779785 0.0001953125 0.00032958985 0.00029296876 0.003100586 0.00081787107 0.004333496 0.0025634766 0.00017089843 0.00013427735 0.0001953125 0.0001953125 0.0002807617 0.00018310547 0.00013427735 0.00029296876 0.013818359 0.0009765625 0.0009887696 0.00084228517 0.00068359374 0.0010253906 0.00091552734 0.0006591797 0.00095214846 0.0005126953 0.00069580076 0.00050048827 0.00080566405 0.0004394531 0.0005126953 0.0006713867 0.02319336 0.0014038086 0.0016357421 0.001184082 0.0048828125 0.002319336 0.003894043 0.003063965 0.0028198243 0.00047607423 0.00068359374 0.0003173828 0.0013305664 0.00034179687 0.0009643555 0.0014892578 0.019995118 0.0013061523 0.0018188476 0.0017822266 0.0052978517 0.0021972656 0.0026733398 0.0025024414 0.0038452148 0.0008666992 0.0007446289 0.0010375977 0.0018432618 0.0011230469 0.001171875 0.0017944336 0.02269287 0.004211426 0.0023925782 0.004040527 0.009326172 0.008666992 0.0025756836 0.005761719 0.015478516 0.00061035156 0.00084228517 0.0010009765 0.0057739257 0.0020996095 0.005395508 0.00913086 0.020886231 0.005566406 0.003112793 0.0037719726 0.010290528 0.008654785 0.0033203126 0.006262207 0.013830567 0.0007568359 0.0011474609 0.00092773436 0.005493164 0.0018066406 0.0044799806 0.009692383 0.062231444 0.04411621 0.040979005 0.039233398 0.04526367 0.041967772 0.034765624 0.037341308 0.0446167 0.03273926 0.030688476 0.028686523 0.038146973 0.031262208 0.03499756 0.037963867 266.0 7.7105265 2051.0 0.01657728 0.0034129692 0.0053632376 0.0053632376 0.009263773 0.0029254023 0.002437835 0.002437835 0.0078010727 0.0068259384 0.0043881033 0.0063383714 0.0073135057 0.002437835 0.00975134 0.002437835 0.010238908 0.0039005363 0.00828864 0.0063383714 0.00487567 0.0053632376 0.0058508045 0.0034129692 0.0063383714 0.00487567 0.0063383714 0.00828864 0.0073135057 0.00487567 0.0039005363 0.009263773 0.00975134 0.018527547 0.0034129692 0.015114578 0.00975134 0.0073135057 0.0087762065 0.012676743 0.015602145 0.010238908 0.00487567 0.00487567 0.010726475 0.010238908 0.012676743 0.009263773 0.01803998 0.010238908 0.00828864 0.020965382 0.0087762065 0.013651877 0.01657728 0.016089713 0.00975134 0.00975134 0.0063383714 0.00487567 0.0039005363 0.0063383714 0.0058508045 0.0053632376 0.0068259384 0.029254023 0.0063383714 0.015114578 0.020965382 0.05265724 0.010726475 0.0073135057 0.013651877 0.01950268 0.009263773 0.0039005363 0.027303753 0.016089713 0.020965382 0.022428084 0.01803998 0.0029254023 0.038517796 0.020965382 0.043881033 0.01803998 0.0053632376 0.0053632376 0.010726475 0.0063383714 0.0053632376 0.00048756704 0.0073135057 0.0039005363 0.0029254023 0.0043881033 6.2068357 0.0 0.0 0.0 5.0 41984.0 57344.0 0.0 0.0 53.0 0.0 1.0 0.0 0.0 0.0 1540190700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 9216.0 1024.0 4096.0 5.0 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 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.229081 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.6050935 0.0 0.0 -5.3778667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4842577 0.0 7.7953496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1598.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 0.0 0.0 -1300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9100.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 16740.0 16.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 228.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.09488571 0.0058340565 0.0050889757 0.0018373843 0.00447772 0.0010163484 0.0040292246 0.0013816551 0.0022135417 0.0013671875 0.0067165797 0.00071976276 0.00067636 0.0072157118 0.0009440104 0.00032552084 0.000567853 0.0014756945 0.0026801215 0.0008246528 0.0003653067 0.00049551507 0.00086805556 0.0043475116 0.0043366607 0.000958478 0.000426794 0.0008789062 0.0007016782 0.0044921874 0.00071976276 0.000958478 0.008098235 0.0003761574 0.0014648438 0.0008246528 0.00029658564 0.008568431 0.00044487847 0.0017144097 0.0027560764 0.00053891784 0.0013454861 0.00046657986 0.00088614004 0.0028356481 0.002347367 0.0006510417 0.0012188947 0.0009548611 0.00048828125 0.0020507812 0.00045934608 0.00045572917 0.00052083336 0.00027850116 0.00040509258 0.010239439 0.0003870081 0.00029296876 0.00053891784 0.002018229 0.00064019096 0.001634838 0.0004231771 0.0018699364 0.00322989 0.0016601563 0.001030816 0.0015769675 0.00068721065 0.00061125576 0.0010886863 0.0015661169 0.00027488425 0.00050636573 0.0047815396 0.0008210359 0.0009801794 0.0008210359 0.0010923032 0.00063295715 0.0013020834 0.010687934 0.0014431423 0.00071614585 0.00066189235 0.0044270833 0.00030743633 0.002520978 0.00011935764 0.0001989294 0.0003653067 0.0018373843 0.000108506945 0.0014612268 0.00015914351 0.0068721063 0.0010850695 0.003833912 0.0031177662 0.011798322 0.0018880208 0.0021448205 0.013331886 0.0058738426 0.00034360532 0.00046296295 0.004835793 0.0020435473 0.006448929 0.010503472 0.0035554108 0.00049551507 0.0081127025 0.0064742477 0.0076895254 0.0031756365 0.0010054976 0.004484954 0.0008246528 0.0014829283 0.0004087095 0.001953125 0.000104890045 0.0007957176 0.00026041668 8.318866e-05 0.0064887153 0.0006221065 0.00029296876 9.765625e-05 0.0026077835 0.0001953125 0.0003870081 7.233796e-05 0.000390625 0.00022786458 0.0014395255 0.0002061632 0.0002061632 0.00026765047 0.000108506945 0.00017722801 9.765625e-05 0.0023943866 0.00015914351 0.00014105903 0.000101273145 0.00015190973 0.00032190394 9.042245e-05 0.00018446181 0.0013635706 0.0031141492 0.00036892362 0.0038917824 0.0056676795 0.000101273145 8.318866e-05 0.0005931713 0.00031467015 0.0003653067 7.957176e-05 0.00016276042 0.000112123846 0.0005714699 9.765625e-05 0.0001989294 0.00022424769 0.0042173034 7.957176e-05 0.00032552084 9.765625e-05 0.000112123846 0.00014467593 0.00017361112 0.00013020834 0.007863137 0.00022424769 0.000531684 0.00050998264 0.00016276042 9.765625e-05 0.00017361112 0.00020254629 0.004253472 0.00056423614 0.00014829282 0.000104890045 0.0042390046 0.001453993 0.00029658564 0.00046296295 0.00012297454 0.0049877027 0.00035807292 0.00016637731 0.0001808449 0.00017722801 0.0001916956 0.00029296876 0.0045970776 0.00016999421 0.0009801794 0.00049551507 0.00049189816 4.7019676e-05 0.00026765047 0.00015552662 0.00071976276 0.00011935764 0.0019061053 0.00135272 0.00012297454 0.006640625 0.00016999421 0.00014829282 0.00017361112 0.0001989294 0.00017361112 0.0055266204 0.00047381365 0.00012297454 0.00029658564 0.00031828703 0.000104890045 0.000112123846 0.00016999421 0.005645978 0.0012839988 0.00015914351 0.0032841435 0.0048719617 9.765625e-05 0.00011574074 0.00047381365 0.0048864293 0.0005497685 0.00013020834 0.0037000868 0.00074146414 0.0012225115 0.0003508391 0.000108506945 0.00043041087 0.00015552662 0.00014105903 0.00025318286 0.00023148148 0.39837238 0.08580367 0.0001808449 0.0001916956 0.00022786458 0.0070565683 0.00021782063 0.0 0.0 0.0 0.0 3.0857922e-05 1.2706204e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9900674e-05 0.036853436 0.00013250756 0.0 0.0 0.0 1.8151719e-06 0.00022689649 4.3564127e-05 4.1748954e-05 2.5412408e-05 7.2606877e-06 3.6303438e-05 3.6303438e-06 0.0 0.0 0.00010164963 0.014249099 0.00043745645 7.623722e-05 3.9933784e-05 9.438894e-05 0.0002396027 0.0005518123 0.00031583992 0.00012343169 0.00024867855 0.00020511443 0.00012706204 0.00021055994 0.00011435583 0.00028135165 0.00076418737 0.040779654 0.00040659853 0.00022508133 0.00026864544 0.00027590615 0.0004592385 0.0006207888 0.0002777213 8.168274e-05 0.00026138476 0.0002396027 0.00012343169 0.0002523089 0.00014339859 0.00027046062 0.000517324 0.040186092 0.0004465323 0.0 0.00025412408 0.0005445516 0.00021237512 0.0034796847 0.00080593635 0.00012524686 8.7128254e-05 0.00011980135 0.0007369598 0.009841862 0.0011127004 0.00031583992 0.0020565898 0.05421011 0.004688589 0.002544871 0.0014212796 0.0014376162 0.0013994976 0.0034560873 0.0037356238 0.00019059305 0.006084456 0.008809029 0.0032673094 0.006164324 0.0032981674 0.008874375 0.011344825 0.1526142 0.005289411 0.010166778 0.011157862 0.008720086 0.0042819907 0.0043255547 0.006028186 0.0003358068 0.0016953705 0.0012760658 0.00067524397 0.0008404246 0.0005935612 0.0023869511 0.00374833 0.11691704 0.020536855 0.002172761 0.0021927278 0.0034796847 0.0026519662 0.0020765567 0.011337564 0.0053474964 0.0011290369 0.00049372675 0.00011072549 0.00089669495 0.0012089045 0.002965991 0.00049372675 0.032124914 0.036878847 0.0012325017 0.0051460126 0.0012778811 0.0070809857 0.0054945257 0.029995717 0.016100574 0.00025049373 6.353102e-05 2.1782063e-05 5.445516e-05 0.0001488441 2.1782063e-05 8.7128254e-05 0.00023415718 0.035118133 0.005637924 0.0074276836 0.0022417374 0.0022562586 0.0023361263 0.009872721 0.0076509495 0.002091078 0.0008585763 0.00088217354 0.0006643529 0.000844055 0.00072243845 0.0003884468 0.0027917344 0.01594084 0.0017697926 0.0027681373 0.002067481 0.0024323303 0.0030676406 0.007209863 0.005360203 0.0011834921 0.002248998 0.00055362744 0.00067342876 0.002172761 0.0008876191 0.0011326673 0.002575729 0.012537393 0.0011471887 0.0026537813 0.0018151719 0.00078052393 0.0007569267 0.0038281977 0.003231006 0.0004465323 0.001615503 0.0007260688 0.00064257084 0.0018115416 0.00066253776 0.0009166618 0.0036031164 0.002143718 4.1748954e-05 7.442205e-05 0.00039933782 5.0824816e-05 0.0013541182 0.00056451844 0.001383161 0.00017244133 0.001795205 0.00024686338 0.00041204403 0.0019676464 0.0006643529 0.00074059016 0.0028588958 0.0013886065 5.9900674e-05 0.00024323304 0.00027953647 0.00011980135 0.00019603857 0.0008585763 0.0009402591 0.00015791996 0.0005627033 0.00021237512 0.0002396027 0.0006480164 0.00028316682 0.00022689649 0.0010183115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1866.0 20.57342 38390.0 0.025605626 5.20969e-05 0.0062776767 0.002083876 0.0002083876 0.035920814 2.604845e-05 0.010028653 0.001797343 0.0011461318 0.0004688721 0.00028653294 0.0022401668 0.010705913 0.009716072 0.0024746028 0.0028653296 0.004271946 0.001562907 0.0049492056 0.0012242772 0.001041938 0.0008856473 0.00075540505 0.00075540505 0.06621516 0.0009377442 0.001328471 0.0031518624 0.010731962 0.0035686377 0.010184944 0.0008856473 0.009169054 0.01898932 0.009012763 0.005834853 0.0079187285 0.0034644438 0.0029434748 0.003881219 0.008283407 0.0003125814 0.0018233915 0.027663454 0.003829122 0.004740818 0.0046105757 0.005392029 0.0016410523 0.0069809845 0.064756446 0.008153165 0.0035165409 0.001797343 0.028523052 0.00065121124 0.013909873 2.604845e-05 0.00013024225 0.00044282366 0.011695754 0.0 0.009090909 0.0001562907 0.029330555 0.005782756 0.017426413 0.0127637405 0.06293306 0.005157593 0.010575671 0.06913259 0.027220631 0.00039072675 0.0025266996 0.025006512 0.010836155 0.030632976 0.03902058 0.011956238 0.001041938 0.032664757 0.029278457 0.04441261 0.015915602 0.0049492056 0.0042458973 0.003881219 0.008048971 0.0009898411 7.814535e-05 0.0 0.0001041938 0.0 0.0 5.4528503 1.0 7.0 0.0 1.0 276480.0 294912.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1512124000.0 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 267776.0 512.0 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 -267776.0 0.0 7680.0 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 -4.514881 0.0 5.0640054 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 -267508.0 0.0 7240.0 0.0 0.0 0.0 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 275616.0 7240.0 278528.0 0.0 0.0 0.0 0.0 12.0 286720.0 28.0 275304.0 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: 0.056566082 0.008294801 0.006167876 0.0056469967 0.0057534464 0.004960758 0.004199075 0.005422729 0.005046538 0.0056190924 0.0037495065 0.0044584814 0.0049462896 0.0031769522 0.0043261945 0.0046352088 0.005042404 0.0037577744 0.004941122 0.0041618696 0.0043623666 0.0031759187 0.004106061 0.0038352862 0.00508271 0.0033516122 0.0031655838 0.0029309813 0.0041484344 0.0034332583 0.0037867122 0.0037939467 0.0061751106 0.003819784 0.0034880333 0.0030198616 0.00488428 0.0041598026 0.0038404537 0.0037216023 0.004731323 0.0038972958 0.003338177 0.0031035745 0.0043634004 0.0037143677 0.0037247026 0.003586215 0.005529179 0.0039541377 0.003094273 0.0028958428 0.0036792292 0.0030818712 0.002692245 0.0028710389 0.0041711708 0.0033123398 0.003514904 0.003350579 0.004006846 0.0032255263 0.003502502 0.0034611623 0.006598842 0.0039644726 0.0036244541 0.0032255263 0.00416497 0.0032172585 0.0035355738 0.0030674022 0.0049948636 0.0037763773 0.0037071335 0.0035851814 0.0041412 0.0031242443 0.0035634781 0.0034621959 0.0051633227 0.003622387 0.0036533917 0.003334043 0.0039283005 0.0033857175 0.0033629807 0.0035376407 0.004650711 0.0036502914 0.0038084155 0.0035076695 0.004103994 0.0033795165 0.003687497 0.0037815447 0.0059084697 0.0036316884 0.003340244 0.002957852 0.0040161475 0.0030498328 0.003277201 0.0030301965 0.004971093 0.003163517 0.0031945216 0.0030550004 0.00357588 0.002850369 0.003100474 0.0031914213 0.0045080893 0.003285469 0.003224493 0.0031418137 0.0038859274 0.003329909 0.0032906365 0.003626521 0.0046279742 0.0032916698 0.0034735643 0.0031769522 0.0040378505 0.0031976223 0.0034632294 0.003344378 0.008632753 0.004598003 0.0040120133 0.0035273058 0.0043634004 0.0034466935 0.003022962 0.003392952 0.004550462 0.0038373533 0.0029671537 0.0031769522 0.0037278032 0.0027986944 0.0028452016 0.0029857564 0.005223265 0.0032089904 0.0034911337 0.0030219287 0.0036740617 0.0031862538 0.0033123398 0.0032699665 0.0045421943 0.0028379671 0.003043632 0.0026974124 0.0035118035 0.0032296604 0.0029836895 0.003155249 0.0050134663 0.0034146553 0.0032699665 0.002799728 0.0037732767 0.0030146942 0.0030550004 0.0031862538 0.0041339654 0.0029971248 0.0031252778 0.0030157277 0.003651325 0.0028379671 0.002919613 0.0030425985 0.0046641463 0.0031170098 0.0038435543 0.002850369 0.003561411 0.0031604164 0.002982656 0.0031335456 0.004260051 0.003153182 0.0033350764 0.0031800529 0.0036523584 0.0031955552 0.0033288756 0.003342311 0.006708392 0.0040626545 0.0037267697 0.0033371435 0.0041236305 0.0032575647 0.0033051053 0.0032327608 0.004325161 0.0033330095 0.0031221772 0.0030715363 0.0036358226 0.002982656 0.003077737 0.0027966276 0.0042559174 0.0032782345 0.0031015074 0.0030043593 0.0037133342 0.003022962 0.0029392494 0.0029454504 0.00396964 0.0031201104 0.0027335845 0.0026385034 0.0035355738 0.0029485507 0.0035903489 0.002879307 0.004943189 0.0032492967 0.003395019 0.0029712876 0.003811516 0.0030725696 0.0032017562 0.002909278 0.0044502136 0.0054537337 0.0034756314 0.0031314788 0.0037960135 0.003094273 0.0032441292 0.0031779858 0.0046042036 0.0033247415 0.0034125883 0.003041565 0.0037412385 0.0030953065 0.0033247415 0.0032420622 0.0043489314 0.003047766 0.0031821197 0.0028576036 0.0040171808 0.003102541 0.0042249127 0.004506022 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099125236 0.062024146 0.062453914 0.05532853 0.060622472 0.059531994 0.054972287 0.054465365 0.060471795 0.05317295 0.052158587 0.052960653 0.056438684 0.050590184 0.056680497 0.053859543 4040.0 5.7029705 23040.0 0.017230902 0.010546875 0.009461805 0.00859375 0.013498263 0.012456597 0.011848958 0.011501736 0.0125 0.009765625 0.008550347 0.008810764 0.013802083 0.010503472 0.01171875 0.009939237 0.016666668 0.011935764 0.008723958 0.0075086807 0.009895833 0.00859375 0.007942708 0.008376736 0.010199653 0.008463542 0.009592013 0.008897569 0.01141493 0.008984375 0.009592013 0.009331597 0.018185765 0.010807292 0.010373264 0.009027778 0.010894097 0.008810764 0.010720486 0.00828993 0.014236111 0.011631944 0.009722223 0.008984375 0.011501736 0.009331597 0.011631944 0.009548611 0.014713542 0.009548611 0.009939237 0.009071181 0.012109375 0.009418403 0.009505209 0.009765625 0.013671875 0.009288195 0.010546875 0.009505209 0.011111111 0.009765625 0.010373264 0.010633681 0.017881945 0.010980903 0.009635417 0.008159722 0.013020833 0.008203125 0.009331597 0.00828993 0.015364584 0.009244791 0.008897569 0.008680556 0.01141493 0.008159722 0.010069445 0.0078125 0.013107639 0.007986112 0.008680556 0.008767361 0.01141493 0.009375 0.008376736 0.007986112 0.011154514 0.008810764 0.011935764 0.008506944 0.01141493 0.008984375 0.010069445 0.008767361 6.55484 0.0 0.0 0.0 14.0 967594.0 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: 0.14476956 0.012441667 0.006488231 0.0060420004 0.012342882 0.0036737404 0.0034514766 0.0025070682 0.010266717 0.0020650951 0.0023180163 0.0028706952 0.019133426 0.0023784786 0.0020191097 0.017771741 0.031195285 0.004373744 0.0011683755 0.0014059679 0.006038594 0.008398337 0.00095803384 0.0008873523 0.0051606093 0.00078260724 0.00087543007 0.00076813024 0.0045951563 0.00074258266 0.0009401506 0.00159502 0.006982151 0.0008490309 0.0011956262 0.00078005245 0.03386075 0.0014289607 0.00074939535 0.0009963552 0.0037623055 0.0037273904 0.0017142419 0.0022371155 0.0029916205 0.0009503696 0.0014655789 0.0008073032 0.0051520932 0.0025121777 0.0024798175 0.0052866437 0.0045014815 0.0023605954 0.002086385 0.0020744626 0.0035213067 0.002345267 0.0027472153 0.0055480804 0.003586027 0.0023622985 0.0018530504 0.0037512348 0.010856866 0.0043337196 0.0027080423 0.002519842 0.014916374 0.0036294581 0.0046896823 0.0026646114 0.0029217904 0.0017227578 0.0007877167 0.0008192254 0.008933133 0.0016341929 0.0020625405 0.0016324897 0.009601628 0.005399053 0.0017363832 0.0042553735 0.003699288 0.0031798207 0.005894676 0.0050550126 0.0023282352 0.0009835814 0.0016963587 0.0025070682 0.0028511088 0.0021349252 0.0038568315 0.003822768 0.00140171 0.0063000307 0.0012041421 0.0029396736 0.003699288 0.008679361 0.004375447 0.002230303 0.0048685153 0.0059295907 0.005251729 0.00074939535 0.0052747214 0.0023699629 0.0062038014 0.0052398066 0.0032581666 0.0006599789 0.006024117 0.004548319 0.016708963 0.006592976 0.0017781109 0.0023239772 0.0021962393 0.0017159451 0.0005646013 0.00048284908 0.0029933236 0.00076983345 0.0013438022 0.001089178 0.0063596414 0.0024236129 0.0009120482 0.015359199 0.005394795 0.007881425 0.0020267738 0.0010219028 0.002258405 0.011068059 0.0016146064 0.033046633 0.0015694724 0.012195558 0.0007442859 0.00048284908 0.0014059679 0.00041898014 0.00038065878 0.00034574379 0.0010329734 0.0006097353 0.00041301904 0.00036533026 0.0007911231 0.0005484212 0.00035851757 0.00032445413 0.00090438395 0.00033041523 0.00042408967 0.0003619239 0.0011956262 0.0012041421 0.0003610723 0.00048966176 0.000780904 0.00032275097 0.00037725244 0.00030912558 0.0010125353 0.0003798072 0.00048370066 0.00033978268 0.00082007697 0.0003159383 0.0003627755 0.0006114385 0.001352318 0.00045219198 0.0004266444 0.0004513404 0.0009903942 0.00040194843 0.0026765338 0.0014851653 0.0018726368 0.0008149675 0.00054246007 0.000497326 0.0008592499 0.00046070784 0.0009444085 0.0010295671 0.007836292 0.0055012433 0.0029320093 0.004032258 0.008073032 0.0007536533 0.0021017133 0.0049238685 0.0047816536 0.0017210545 0.0011624144 0.00096314336 0.01937102 0.00067360426 0.001381272 0.0011189835 0.0022601082 0.0010508567 0.0013957489 0.0009554791 0.0007119256 0.00070511294 0.0014076711 0.0008132643 0.001451102 0.0006097353 0.00048029431 0.0011309057 0.0007246994 0.00053649896 0.00038321354 0.00038747146 0.001635896 0.003808291 0.0015447764 0.0013591307 0.0013472085 0.0025096228 0.0009980584 0.0010040195 0.009573526 0.0033339579 0.00083455397 0.0031253193 0.0032436897 0.0014672821 0.0015566986 0.0018487924 0.0030546377 0.0009929489 0.004040774 0.0016495214 0.0020293286 0.0010295671 0.0023129066 0.0018053616 0.0027412542 0.0016214191 0.00080815476 0.0009801751 0.0018854106 0.001352318 0.001849644 0.029630924 0.024124078 0.0 2.0469432e-05 0.0 4.0938863e-05 1.705786e-05 0.00019275383 5.884962e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032832117 0.0 1.3219842e-05 0.0 2.558679e-05 8.102484e-06 0.00011855213 4.4776883e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002347588 0.0 2.430745e-05 0.0 3.1557043e-05 1.7484306e-05 0.0001466976 5.245292e-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 0.0055817585 0.00010917031 0.00012878685 2.0042986e-05 0.00012111081 9.9362034e-05 0.0006273028 0.000251177 4.264465e-06 4.6909117e-06 5.5438045e-06 5.5438045e-06 6.3966977e-06 1.0661162e-05 3.8380185e-06 7.2495905e-06 0.003383853 0.0001586381 8.6142194e-05 8.230418e-05 9.9788485e-05 5.7996724e-05 0.00026397037 0.0001339042 1.6204967e-05 1.6631413e-05 9.80827e-06 7.2495905e-06 1.0234716e-05 9.80827e-06 1.4499181e-05 1.5778522e-05 0.0066956365 0.00022601665 0.00020853234 8.656864e-05 0.00038209607 0.00025075054 0.0016844637 0.0007906318 1.705786e-05 1.1087609e-05 2.2175218e-05 2.0042986e-05 1.4499181e-05 1.1087609e-05 1.7910754e-05 4.1791758e-05 0.00590799 0.00063668465 0.00012963974 0.00011044965 0.00051003 0.00037484648 0.0012166519 0.0006592863 0.00016972571 5.2879368e-05 0.000118978576 5.7996724e-05 6.14083e-05 5.245292e-05 5.245292e-05 0.00036887624 0.010385252 0.0016153794 0.00039190435 0.0002925423 0.0012592966 0.00078125 0.0021463053 0.0011027907 0.00027804312 0.00034456878 0.00026055882 0.00011172899 0.000106611624 0.00011172899 0.00011514056 0.00078423513 0.0057719536 0.0005044862 0.0008793327 0.0017241233 0.008394173 0.0059745153 0.015462098 0.0075246487 0.00011855213 9.253889e-05 0.00011215543 0.00012452238 9.040666e-05 9.339178e-05 0.00010874386 0.00018593068 0.0069984137 0.0012106816 0.00094756414 0.0017552539 0.0071549197 0.004568095 0.010319579 0.0058423174 0.00011087609 8.52893e-05 0.00010490584 0.00010917031 0.000114287664 0.00016290256 0.00014158024 0.00054883666 0.011146885 0.0032763884 0.0029872577 0.02173214 0.0030759587 0.0028857635 0.008659422 0.0050478475 0.0029488776 0.0016260406 0.0016631414 0.0018111183 0.0016285992 0.0017804141 0.00624275 0.003836739 0.017910752 0.006433372 0.0032469637 0.0024968444 0.002739066 0.002530107 0.00658604 0.0036000614 0.0068457457 0.0013804074 0.0015625 0.0016175116 0.003687483 0.0013974652 0.011191236 0.0062504266 0.10998098 0.039673172 0.039221138 0.016009655 0.030623976 0.029410737 0.012429636 0.019720592 0.0699658 0.0035369473 0.0034090134 0.007941714 0.045872424 0.00743808 0.015328193 0.032407377 0.036105093 0.015819034 0.01599814 0.007603115 0.0120407175 0.011776747 0.0064730314 0.007942567 0.023743263 0.001661862 0.0018802027 0.003201334 0.015590458 0.0037092317 0.0058188625 0.013169095 0.0008209095 0.00025330923 0.00022729598 0.00022814889 0.0003714349 0.00025885302 0.0003411572 0.00024136872 0.00024008939 0.0001769753 0.00018294556 0.00022814889 0.00020853234 0.00020767945 0.00017484307 0.00020512077 8847.0 17.426924 154176.0 0.020366335 0.0007199564 0.0009275114 0.0007394147 0.014788294 0.002017175 0.00079778954 0.0009923724 0.0034506018 0.0011610108 0.00068752596 0.0014853155 0.0030030615 0.0017123288 0.006764996 0.0015955791 0.010364778 0.0075627854 0.005746679 0.006628788 0.008140048 0.0049294312 0.0049553756 0.004909973 0.0059866644 0.0053056246 0.010215598 0.0066158157 0.006635274 0.0059866644 0.004488377 0.018705895 0.053023815 0.019951224 0.010046959 0.0083022 0.014100768 0.013893213 0.0075173825 0.0046245847 0.005733707 0.008321659 0.0008367061 0.0012777605 0.0070049814 0.0065250103 0.0054288604 0.004676474 0.015618514 0.024984434 0.0064601493 0.013212173 0.0085681295 0.008367061 0.012667341 0.012998132 0.00871731 0.0018031341 0.009774543 0.0026657844 0.0023609381 0.0026398401 0.0031392693 0.008289228 0.0016928705 0.041705582 0.006103414 0.016260637 0.018582659 0.057881903 0.010053446 0.014146171 0.010306403 0.038657118 0.003800851 0.0023609381 0.02460824 0.015164487 0.037898246 0.035070308 0.012414384 0.0017058427 0.03643239 0.025334682 0.049300797 0.014133198 0.0060320674 0.0085357 0.0061228727 0.00747198 0.0016539539 0.00047348486 0.0020106891 0.0006615816 0.00088859483 0.0006161789 5.8745584 0.0 32.0 1.0 3.0 1174280.0 1191936.0 1.0 2.0 1643.0 1.0 1.0 1.0 1.0 0.0 1537962400.0 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 5.0 11.0 14.0 15.0 6.0 0.0 6.0 0.0 788992.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -48128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 313856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -788992.0 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 -6.759529 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.84524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8771427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.881379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5101542 0.0 3.2880018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 313590.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -788891.0 0.0 840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 2.0 0.0 1.0 3.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 1.0 -1.0 1.0 2.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 -2.0 1.0 -1.0 2.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 2.0 0.0 2.0 0.0 -4.0 0.0 1.0 1.0 2.0 0.0 -1.0 2.0 1.0 1.0 0.0 -1.0 1.0 -2.0 1.0 1.0 1.0 -2.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 -2.0 -1.0 1.0 1.0 -3.0 0.0 1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 2.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 -1.0 2.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 1.0 2.0 1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 1.0 -3.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 2.0 2.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 2.0 1.0 2.0 0.0 -4.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 3.0 -2.0 3.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 -3.0 1.0 -1.0 0.0 -1.0 2.0 -2.0 0.0 1.0 -2.0 1.0 -2.0 0.0 0.0 -2.0 0.0 -3.0 1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 2.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 -2.0 3.0 -1.0 -1.0 2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -3.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 2.0 -4.0 -4.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 2.0 4.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 2.0 1.0 1.0 -1.0 -2.0 -2.0 1.0 -2.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 -1.0 2.0 -2.0 2.0 0.0 -1.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 2.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -2.0 0.0 0.0 2.0 0.0 1.0 -1.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 4.0 -1.0 1.0 2.0 2.0 -1.0 -1.0 -1.0 -1.0 3.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 -1.0 1.0 0.0 -1.0 2.0 -2.0 0.0 0.0 0.0 -1.0 5.0 0.0 1.0 2.0 1.0 0.0 1.0 2.0 0.0 -1.0 0.0 -1.0 3.0 0.0 -2.0 0.0 -2.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 2.0 0.0 2.0 -1.0 0.0 -1.0 -1.0 -3.0 0.0 -2.0 -2.0 -1.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 2.0 0.0 3.0 -1.0 0.0 4.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 4.0 -4.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 1.0 2.0 0.0 2.0 1.0 0.0 4.0 1.0 -2.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -3.0 -1.0 1.0 1.0 -1.0 -4.0 1.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 -3.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 1.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 -3.0 -1.0 -2.0 -1.0 -2.0 2.0 2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 2.0 -1.0 -3.0 0.0 -1.0 2.0 -1.0 1.0 1.0 2.0 0.0 -1.0 -1.0 -2.0 -2.0 1.0 -2.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -3.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 2.0 0.0 1.0 2.0 0.0 -1.0 2.0 -2.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 -4.0 -1.0 2.0 0.0 -3.0 -2.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 2.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 -1.0 2.0 -1.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 2.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 1.0 2.0 0.0 -1.0 0.0 3.0 1.0 0.0 2.0 -2.0 2.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 -4.0 1.0 2.0 1.0 -1.0 2.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 -3.0 0.0 2.0 2.0 -1.0 2.0 -1.0 2.0 1.0 0.0 1.0 -2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 2.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 -4.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 3.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 2.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 -2.0 -2.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 3.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -3.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 1030064.0 420.0 1030184.0 840.0 1138688.0 0.0 0.0 13064.0 1161216.0 47664.0 1142784.0 84.0 1014400.0 0.0 0.0 0.0 0.0 24.0 1014648.0 64.0 1014488.0 0.0 0.0 6652.0 794624.0 0.0 0.0 0.0 0.0