Input: 0.21552075 0.041532923 0.014240366 0.007164518 0.015996028 0.003493589 0.0044512227 0.0054265903 0.007820674 0.003121176 0.0077674724 0.0013655146 0.007111316 0.0022522123 0.0014896522 0.0041674795 0.004061076 0.0013123127 0.002305414 0.0013123127 0.0029438366 0.0018620653 0.0012768448 0.0010463033 0.0020748728 0.0017379276 0.0009576336 0.001205909 0.0030502402 0.0014009825 0.0014187164 0.0010285694 0.012715246 0.0013300467 0.0016137899 0.0009221657 0.018478781 0.003121176 0.001152707 0.0009576336 0.0036709288 0.003245314 0.0052492507 0.0017024596 0.0013832485 0.002411818 0.0026423594 0.01340687 0.0021103406 0.003475855 0.0014187164 0.0009576336 0.0021458087 0.001188175 0.0010640373 0.000780294 0.0010995052 0.0010995052 0.0017911295 0.0045221588 0.0020571388 0.0012768448 0.001205909 0.0006206884 0.008228555 0.004681764 0.0019507351 0.005160581 0.0038482682 0.0044157547 0.0042916173 0.00093989965 0.00093989965 0.003564525 0.001188175 0.0031034423 0.008122152 0.0033871855 0.0014541843 0.0020571388 0.002801965 0.00053201866 0.004362553 0.003936938 0.006065013 0.0020394048 0.002323148 0.0014541843 0.0008512298 0.0021103406 0.0009576336 0.0009576336 0.0026423594 0.0020216708 0.0005142847 0.004734966 0.0015073862 0.026068915 0.0033339835 0.010197024 0.0069694445 0.025164483 0.0052847187 0.0073418575 0.0033517175 0.019046267 0.0056216638 0.008015748 0.008955647 0.0077320044 0.015907358 0.018035432 0.005107379 0.00056748657 0.012591108 0.015694551 0.02223838 0.0062246183 0.006331022 0.003493589 0.0033517175 0.0017201937 0.0005497526 0.00040788096 0.0019507351 0.0010108354 0.0006029545 0.0012413769 0.0042916173 0.0012591109 0.0005497526 0.0042384155 0.001986203 0.004770434 0.00040788096 0.0001950735 0.00069162424 0.018035432 0.0001596056 0.0053733885 0.0005142847 0.004717232 0.00024827538 0.00026600933 0.0061004804 0.00024827538 0.00028374328 0.0003546791 0.0009576336 0.0008689638 0.0003192112 0.0006384224 0.00065615634 0.00040788096 0.0006384224 0.00056748657 0.0005497526 0.0008866978 0.00028374328 0.0004788168 0.00076256006 0.0011172391 0.0003192112 0.0003546791 0.00079802796 0.00021280746 0.00033694514 0.0006206884 0.0010108354 0.00037241305 0.0003192112 0.00040788096 0.00046108285 0.00028374328 0.00023054142 0.0003546791 0.0007093582 0.0008866978 0.0004256149 0.00033694514 0.0030502402 0.0017733956 0.004096544 0.002394084 0.0026423594 0.0020926066 0.001578322 0.002394084 0.0006029545 0.0014896522 0.0010995052 0.0010640373 0.0042384155 0.0014364504 0.00097536755 0.0015960559 0.0004788168 0.00030147724 0.0008689638 0.003564525 0.00076256006 0.001152707 0.0004788168 0.00028374328 0.0003192112 0.00026600933 0.0001950735 0.00028374328 0.001205909 0.00023054142 0.0013832485 0.0007093582 0.0004433489 0.00026600933 0.00037241305 0.00046108285 0.0010108354 0.0005142847 0.0004433489 0.00083349587 0.0003546791 0.00021280746 0.000390147 0.00024827538 0.00040788096 0.000390147 0.0006206884 0.00037241305 0.0015073862 0.0013832485 0.00021280746 0.00024827538 0.008600968 0.001560588 0.0004256149 0.0008866978 0.0034049193 0.0004256149 0.0001596056 0.00033694514 0.0012413769 0.0004433489 0.00028374328 0.0006738903 0.001205909 0.0004256149 0.001223643 0.000780294 0.0010995052 0.000780294 0.0007093582 0.0016669917 0.0030857082 0.0013300467 0.0024650197 0.014825586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011980975 0.000479239 0.0007143374 0.0001989294 0.00062391494 0.0007324219 0.0021972656 0.0010217737 0.00018988716 3.616898e-05 2.7126736e-05 2.7126736e-05 2.7126736e-05 3.616898e-05 0.00018988716 3.616898e-05 0.032172307 0.0003616898 0.0031467015 0.0013201678 0.0027940539 0.0017361111 0.008282697 0.004222729 0.00028935185 0.00015371817 0.00015371817 0.00014467593 0.00013563369 0.00013563369 0.00033456308 0.00017180266 0.06603552 0.0036621094 0.017632378 0.0068449797 0.013916016 0.008490669 0.06989656 0.030228226 0.00045211226 0.0006962529 0.0007776331 0.0016185619 0.00054253475 0.0003616898 0.00042498554 0.0006419994 0.11980071 0.011203342 0.022216797 0.00914171 0.019820603 0.013364439 0.083134405 0.031919125 0.0029658566 0.0019259983 0.0014286748 0.0073151765 0.0023419415 0.0013563368 0.002803096 0.0025951245 0.02307581 0.001916956 0.0045211227 0.00088614004 0.0026674625 0.0027036313 0.0020978008 0.0018627025 0.0014467592 0.0034179688 0.00063295715 0.0063928673 0.000922309 0.0010036892 0.00061487267 0.0013925058 0.0078757955 0.00068721065 0.000922309 0.0006781684 0.0012659143 0.00056966144 0.00055157696 0.0004611545 0.00060583046 0.00061487267 0.0008318866 0.0008770978 0.00061487267 0.00056966144 0.0007324219 0.0006600839 0.07151512 0.010253906 0.024133753 0.007441768 0.014983 0.009639033 0.0052535445 0.013120298 0.041802302 0.007071036 0.0034179688 0.009837963 0.012134694 0.0052083335 0.015353733 0.026611328 0.0050365306 0.00060583046 0.0012297453 0.00055157696 0.0014648438 0.0010579427 0.002242477 0.0010217737 0.00068721065 0.0005244502 0.00068721065 0.0007143374 0.0006600839 0.0005606192 0.0007957176 0.0006781684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 835.0 21.063473 17588.0 0.028940186 0.001023425 0.0019331363 0.0 0.00540141 0.0015351376 5.685695e-05 0.0002274278 0.0063111214 0.006367978 0.00028428473 0.0001137139 0.0004548556 0.0050034113 0.0057994085 0.040709574 0.003411417 0.0017625653 0.0018194224 0.0017057084 0.0025585627 0.0011371389 0.0014214237 0.0008528542 0.0009097112 0.0007959973 0.0027291335 0.011939959 0.00204685 0.0011939959 0.0018762792 0.0001137139 0.00017057084 0.006538549 0.0030702753 0.012679099 0.002103707 0.0070502614 0.011541961 0.0017057084 0.0011939959 0.0081874 0.0026722765 0.007732545 0.017682511 0.0060836934 0.0024448487 0.0035819877 0.004264271 0.00028428473 0.012508528 0.008016829 0.010006823 0.0015351376 0.0049465545 0.002160564 0.0002274278 0.00028428473 0.00039799864 0.001080282 0.0007391403 0.0 5.685695e-05 0.012963384 0.0001137139 0.080338866 0.008130544 0.02962247 0.019615646 0.07499431 0.013020241 0.021435069 0.006652263 0.055719808 0.016488515 0.024277916 0.025301341 0.023197634 0.048271548 0.05492381 0.009608824 0.0007959973 0.037696157 0.047418695 0.055435523 0.011769388 0.018705936 0.010006823 0.0071071186 0.0037525585 0.00068228337 0.00028428473 0.0 0.00028428473 0.0 0.0 5.317758 0.0 1.0 5.0 1.0 56389.0 73728.0 0.0 0.0 87.0 0.0 1.0 0.0 0.0 0.0 1407518300.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 22.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 6.0 1.0 0.0 1.0 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 1536.0 0.0 0.0 0.0 0.0 0.0 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 -16384.0 -3072.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5143113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.74141073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.117826 -4.866399 4.7248096 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36016.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16296.0 -2708.0 3100.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2708.0 65536.0 3100.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 66044.0 0.0 0.0 0.0 0.0


Input: 0.11605114 0.006072443 0.0039417613 0.0042613638 0.0052911933 0.004012784 0.0036221591 0.003515625 0.004651989 0.0042258524 0.0042258524 0.0039772727 0.0024857954 0.0026988636 0.003231534 0.0054332386 0.0037642044 0.0026988636 0.0025923296 0.0026633523 0.0033735796 0.002627841 0.0036576705 0.0024857954 0.0027698863 0.0026633523 0.0030184658 0.0026988636 0.0021306819 0.0024857954 0.0030539774 0.0031605114 0.0068892045 0.002627841 0.0042613638 0.0029119318 0.011079545 0.0030184658 0.002556818 0.0029474432 0.0029119318 0.0029829545 0.0029829545 0.0047230115 0.0031605114 0.002556818 0.0036931818 0.0029119318 0.0030184658 0.003231534 0.0030184658 0.007066761 0.003302557 0.0028053976 0.0026988636 0.003409091 0.0039417613 0.0037286931 0.0029829545 0.0036576705 0.0033735796 0.003409091 0.003799716 0.0033380683 0.0033380683 0.0034801136 0.0037642044 0.0037286931 0.0062144888 0.0031605114 0.0033380683 0.0030894887 0.004509943 0.0035866478 0.0030894887 0.0034446022 0.005078125 0.0030539774 0.0031960227 0.0028053976 0.00390625 0.0029474432 0.002734375 0.0034446022 0.004190341 0.0030184658 0.0033735796 0.0028409092 0.0032670454 0.0027698863 0.002734375 0.003302557 0.004190341 0.0045454544 0.0025923296 0.0029119318 0.0037642044 0.0036221591 0.003302557 0.0036576705 0.00415483 0.005965909 0.009019886 0.0029829545 0.0032670454 0.004119318 0.002734375 0.0026633523 0.005078125 0.0033380683 0.004296875 0.0048295455 0.003231534 0.0024857954 0.0039772727 0.0043678978 0.0055397726 0.0034801136 0.0029119318 0.003409091 0.0037286931 0.0033735796 0.002627841 0.0027698863 0.0038352273 0.0023792614 0.0028409092 0.0029474432 0.0042258524 0.0030184658 0.0030184658 0.003799716 0.003231534 0.003515625 0.0029474432 0.002556818 0.0036221591 0.005610795 0.0029474432 0.008238636 0.0024857954 0.0043323864 0.0028764205 0.002556818 0.0034801136 0.0029119318 0.002556818 0.0022372159 0.003231534 0.0033380683 0.0023792614 0.0028409092 0.0030894887 0.0064985794 0.0022372159 0.0028053976 0.0035511365 0.0022372159 0.0030894887 0.0028053976 0.0029474432 0.0021306819 0.0025923296 0.0029829545 0.0028764205 0.0030184658 0.0029829545 0.002734375 0.0029829545 0.0029119318 0.0030184658 0.0033735796 0.0031605114 0.0028409092 0.002556818 0.003302557 0.0028409092 0.003125 0.0026633523 0.0028053976 0.0022372159 0.0029829545 0.0037642044 0.0030539774 0.0036931818 0.0026633523 0.0030184658 0.0029119318 0.0028053976 0.0026988636 0.0032670454 0.0024857954 0.0038352273 0.0063210228 0.0036221591 0.0028053976 0.002450284 0.0030894887 0.0042613638 0.0038707387 0.0037286931 0.0035511365 0.0029829545 0.0025213067 0.00625 0.002627841 0.0030184658 0.0025923296 0.0037642044 0.0024147728 0.0030894887 0.0030539774 0.0031605114 0.0030184658 0.0029119318 0.003302557 0.002627841 0.0029119318 0.0030184658 0.003302557 0.002556818 0.0029119318 0.0026988636 0.0030894887 0.004119318 0.0042258524 0.0026633523 0.0025213067 0.0040838066 0.0029119318 0.0030184658 0.0031960227 0.00390625 0.003231534 0.0028053976 0.003409091 0.0026988636 0.0028409092 0.0024147728 0.0032670454 0.0030894887 0.0030184658 0.0027698863 0.0029119318 0.0028764205 0.0025923296 0.0030894887 0.0029474432 0.004971591 0.0025213067 0.003515625 0.004865057 0.0027698863 0.0022727272 0.0028764205 0.019637784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020526592 0.00016902044 0.00015024039 0.0016338641 0.00020658053 0.0013709435 0.0016902044 0.0002629207 0.00030048078 0.0016902044 0.00013146034 5.6340145e-05 0.0013521635 0.00041316106 0.0008263221 0.0076810396 0.036283053 0.00048828125 0.00392503 0.00392503 0.0015963041 0.0020658053 0.0069298376 0.0030423678 0.0015024039 0.0024601864 0.0003568209 0.00022536058 0.0030611479 0.0005258414 0.001183143 0.009352464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013803335 0.0009202224 0.0034367489 0.0012207031 0.0022536058 0.0008263221 0.0017277644 0.0011455829 0.0037747896 0.00088266225 0.00033804087 0.00061974156 0.0032865084 0.00033804087 0.0009953425 0.0028921275 0.022573618 0.0013709435 0.0076622595 0.0021597056 0.0067420374 0.0025353064 0.004826472 0.0035682092 0.009014423 0.0007324219 0.000788762 0.0015024039 0.0048828125 0.0009390024 0.003493089 0.0041316105 0.018573467 0.003117488 0.0042442908 0.0037935697 0.0056340145 0.0044508716 0.0048828125 0.00386869 0.0041128304 0.0026667668 0.0030423678 0.0036245494 0.0040189303 0.0031362681 0.004300631 0.0034555288 0.044114333 0.041503906 0.04236779 0.044658955 0.044358473 0.04328801 0.044433594 0.041691706 0.04304387 0.04304387 0.043832634 0.04287485 0.043588493 0.044640176 0.04246169 0.04240535 153.0 9.51634 1456.0 0.067307696 0.006181319 0.025412088 0.006868132 0.017857144 0.0041208793 0.0027472528 0.0041208793 0.0020604397 0.006868132 0.0020604397 0.008241759 0.0013736264 0.006181319 0.023351649 0.008928572 0.008241759 0.008928572 0.012362638 0.008928572 0.006181319 0.007554945 0.012362638 0.0054945056 0.009615385 0.0054945056 0.0054945056 0.0054945056 0.011675824 0.012362638 0.012362638 0.006868132 0.0020604397 0.012362638 0.006181319 0.007554945 0.01717033 0.010989011 0.0048076925 0.007554945 0.008928572 0.009615385 0.006181319 0.006868132 0.018543957 0.008241759 0.008928572 0.0054945056 0.008928572 0.0020604397 0.007554945 0.009615385 0.006181319 0.006181319 0.0041208793 0.0048076925 0.0054945056 0.003434066 0.0041208793 0.0054945056 0.0048076925 0.0041208793 0.006181319 0.008241759 0.0048076925 0.017857144 0.008928572 0.01923077 0.01923077 0.043956045 0.008241759 0.006181319 0.009615385 0.025412088 0.003434066 0.0054945056 0.024038462 0.01923077 0.03021978 0.029532967 0.013049451 0.0020604397 0.024038462 0.03159341 0.03159341 0.008928572 0.0048076925 0.003434066 0.0054945056 0.013736264 0.003434066 0.003434066 0.0048076925 0.0041208793 0.0020604397 0.0020604397 6.1235666 0.0 0.0 0.0 1.0 28160.0 65536.0 0.0 0.0 10.0 0.0 1.0 0.0 0.0 0.0 1301059100.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 33280.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3584.0 0.0 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 -7.9912014 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9897327 0.0 3.9923263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3463.0 0.0 3652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 57344.0 3652.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 57544.0 0.0 0.0 0.0 0.0


Input: 0.056638077 0.0082991505 0.0061715874 0.0056572887 0.0057607694 0.00495362 0.004203385 0.0054141087 0.0050477874 0.0056293486 0.0037563485 0.004472435 0.0049556894 0.0031665086 0.004316179 0.004642143 0.0050312304 0.003769801 0.0049287844 0.0041568186 0.004353432 0.0031685783 0.004101974 0.0038422374 0.0050695185 0.0033517391 0.0031634043 0.0029326424 0.00414854 0.003438663 0.003786358 0.0037873928 0.0061653787 0.003823611 0.0034831595 0.0030288794 0.004888427 0.004159923 0.003845342 0.003721165 0.0047301017 0.0038919083 0.0033331127 0.0030940722 0.0043720584 0.0037294435 0.0037242696 0.003582501 0.00551552 0.0039498573 0.0031085594 0.0029005634 0.00366839 0.003068202 0.002683254 0.0028633103 0.004166132 0.0033186253 0.003523517 0.0033600174 0.004004702 0.0032213535 0.00350696 0.0034552198 0.006598963 0.0039436487 0.0036218236 0.0032223882 0.004159923 0.0032223882 0.0035411087 0.0030661325 0.0049939775 0.0037770446 0.0037118518 0.0035856054 0.0041247397 0.0031189076 0.0035638744 0.003469707 0.0051657553 0.0036269976 0.0036528679 0.0033372517 0.003940544 0.0033786441 0.0033672613 0.003539039 0.0046576653 0.0036383807 0.0038029149 0.0035038558 0.0041081826 0.0033931313 0.0036911557 0.0037873928 0.005905642 0.0036280325 0.0033382867 0.0029533384 0.0040078065 0.0030547495 0.003266885 0.0030288794 0.004978455 0.0031613347 0.0031975529 0.003056819 0.0035814662 0.0028281268 0.003089933 0.0031996225 0.004504514 0.003287581 0.0032213535 0.0031447778 0.0038908734 0.003335182 0.0033031031 0.0036280325 0.004616273 0.003298964 0.0034810898 0.0031685783 0.004038851 0.0031954832 0.0034738462 0.0033507042 0.008636497 0.004599716 0.0040202243 0.0035245519 0.0043720584 0.0034283148 0.0030247401 0.003390027 0.004541767 0.0038349938 0.0029647213 0.003191344 0.003732548 0.0027970828 0.0028508927 0.0029781738 0.005231983 0.003213075 0.0035059254 0.0030278445 0.0036580418 0.0031727175 0.003308277 0.003266885 0.004546941 0.0028477882 0.0030392276 0.0027070544 0.0035224822 0.0032244578 0.0029854176 0.0031551258 0.0050157085 0.0034127927 0.0032679196 0.002800187 0.0037739403 0.0030133573 0.003057854 0.0031851353 0.004140262 0.003004044 0.0031261512 0.0030164616 0.0036394154 0.0028301964 0.0029222942 0.0030402623 0.0046742223 0.0031137336 0.0038422374 0.0028581363 0.003565944 0.0031489169 0.0029843827 0.0031189076 0.0042499513 0.0031530561 0.003335182 0.0031830657 0.0036539026 0.0031892743 0.0033331127 0.0033455302 0.006715896 0.004062651 0.003727374 0.003342426 0.0041195657 0.0032482585 0.0033072424 0.0032223882 0.004333771 0.0033300081 0.003122012 0.0030878633 0.0036518332 0.002983348 0.0030806197 0.0027908739 0.0042499513 0.003272059 0.0030971766 0.003009218 0.0037087474 0.0030237054 0.002934712 0.0029481645 0.003984006 0.003100281 0.0027225765 0.0026408269 0.003523517 0.0029378163 0.0035804315 0.0028881456 0.00495362 0.003233771 0.0033972706 0.0029781738 0.00380188 0.0030754458 0.0031985878 0.002912981 0.004439321 0.005447223 0.0034738462 0.0031344297 0.0037946363 0.0030775154 0.0032492932 0.003191344 0.0046131685 0.003314486 0.0034210712 0.0030381926 0.0037356524 0.0030930375 0.0033186253 0.0032461889 0.004343084 0.0030330187 0.0031892743 0.0028746931 0.0040098764 0.0030982115 0.004224081 0.0045117573 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099184334 0.062007055 0.06244402 0.05532403 0.060604412 0.059569795 0.05494719 0.05449001 0.060475342 0.05317445 0.052133612 0.052965038 0.05643588 0.05054385 0.05666706 0.05383223 4030.0 5.701985 22979.0 0.017059054 0.010531355 0.009356369 0.008703599 0.01344706 0.0125767 0.011880413 0.011445233 0.012620218 0.00974803 0.008529527 0.008573045 0.013969276 0.010487837 0.011749859 0.009922103 0.016667392 0.012010966 0.008747117 0.007528613 0.009791548 0.008442491 0.007876757 0.008311937 0.010270246 0.008398973 0.009573959 0.008921189 0.0115322685 0.009051743 0.009660995 0.009225815 0.01801645 0.010879499 0.010400801 0.009095261 0.010835981 0.0088341525 0.010748944 0.008268419 0.014186867 0.011575786 0.009704513 0.008921189 0.011401715 0.009356369 0.01170634 0.009530441 0.0147526 0.009617477 0.009922103 0.009008225 0.012054484 0.009356369 0.009573959 0.009791548 0.013708169 0.009225815 0.010487837 0.009573959 0.011097088 0.009791548 0.010357283 0.010661908 0.017885895 0.010966535 0.009660995 0.008181383 0.013098916 0.008224901 0.009399887 0.008311937 0.01540537 0.0092693325 0.008877671 0.008703599 0.011445233 0.007963793 0.010096175 0.007833239 0.013185953 0.007963793 0.008703599 0.008877671 0.011445233 0.009530441 0.008224901 0.008007311 0.010923017 0.008964707 0.012054484 0.008573045 0.011401715 0.008921189 0.010139693 0.008703599 6.5547237 0.0 0.0 0.0 14.0 966364.0 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: 0.2932733 0.015388749 0.00439565 0.0043733935 0.006988527 0.0021223119 0.0033416478 0.0017439522 0.008304837 0.0012097973 0.004406778 0.0012320537 0.0050887796 0.004279598 0.0009045659 0.008335043 0.005556165 0.0012082076 0.00088548893 0.0012145665 0.0031715448 0.0013147206 0.00060092425 0.0005277959 0.0032446731 0.0005309754 0.00046420607 0.00078215543 0.0024116458 0.00062794995 0.0006470269 0.00048169328 0.027801491 0.00042605214 0.00044989833 0.000640668 0.0016294904 0.0030968266 0.0006756424 0.00036564175 0.0014721055 0.0005913858 0.00041651365 0.0010253866 0.0015150286 0.0007312835 0.0028663133 0.0010889765 0.006872475 0.0021827223 0.0022717481 0.004882112 0.0022479019 0.0013671822 0.00113031 0.00087118126 0.002624672 0.001952209 0.0014275926 0.0026485182 0.0016279006 0.0010619508 0.00095543783 0.00085846323 0.0026071847 0.0018584139 0.00079010415 0.002033286 0.0018488755 0.0108023295 0.0035260583 0.00095702754 0.0026771335 0.0012861051 0.00042287263 0.0010460534 0.0010683099 0.0063065253 0.0021111837 0.00092046335 0.009954995 0.0053717545 0.0014101054 0.0042970856 0.0020110297 0.0030554933 0.004161957 0.0038265204 0.0016453878 0.0017805164 0.00036882126 0.0015786185 0.0007773862 0.0029521598 0.0022383635 0.0016485674 0.0011462074 0.006095089 0.0017646189 0.003874213 0.0048121633 0.014031105 0.007853349 0.0018234395 0.007037809 0.009323865 0.004155598 0.00090297614 0.005104677 0.002631031 0.0072603733 0.007268322 0.0036548278 0.0004451291 0.007252425 0.007314425 0.015910186 0.013506489 0.0031794936 0.0015166184 0.0031095447 0.0017519009 0.00046102656 0.00048805226 0.0011128228 0.0027454926 0.00087118126 0.0003735905 0.0026850824 0.0009427198 0.0004801035 0.0059917555 0.009430378 0.0070346296 0.0006390782 0.00038312897 0.0014403106 0.010524124 0.0013099513 0.030147959 0.00065497565 0.014935671 0.00053415494 0.00025594924 0.0014609772 0.00031159035 0.00022892354 0.00034179556 0.000721745 0.0005373344 0.00024005176 0.0002654877 0.00059933454 0.0003942572 0.00028456468 0.00033702631 0.0006470269 0.00038630847 0.0002654877 0.00020030809 0.00078374514 0.00072651426 0.00038471873 0.00068200135 0.0007503605 0.00072969374 0.00031318012 0.00025594924 0.0007169758 0.00028774416 0.00032748783 0.0004149239 0.000721745 0.00019871835 0.0002480005 0.00051507796 0.0015356954 0.0002686672 0.00026707747 0.000621591 0.0008155401 0.0013226693 0.00092682237 0.0013194898 0.0013449257 0.0005611806 0.0004419496 0.0004689753 0.0009681558 0.0006947193 0.0004387701 0.00044035984 0.010516175 0.0016310802 0.0019871835 0.0023846203 0.0033289297 0.00025753898 0.0024434407 0.0023496458 0.0019426706 0.0019140551 0.0004944113 0.000992002 0.010536842 0.00040379568 0.0019506193 0.0010969252 0.0012018485 0.0006851808 0.00084733503 0.00035451353 0.0008521043 0.00025118 0.00040697516 0.0003608725 0.0015627211 0.00048328302 0.00030841088 0.0012193358 0.0012129768 0.00020348758 0.0002654877 0.00044989833 0.0015515928 0.00062636024 0.0003433853 0.00029728265 0.0013004128 0.00030682114 0.00031159035 0.00028138518 0.01594834 0.0023242098 0.00037518024 0.003759751 0.003729546 0.00024641075 0.00042605214 0.00037518024 0.0021700044 0.0013973874 0.00034179556 0.0011684638 0.0018377473 0.00043559063 0.0013989771 0.0011573357 0.0036436997 0.00095543783 0.0006247705 0.0018902089 0.0047167786 0.0054273955 0.0057040113 0.059973195 0.061924897 3.1861746e-06 6.372349e-06 1.5930873e-06 1.2744698e-05 5.5758055e-06 7.9654365e-07 7.9654365e-07 6.372349e-06 0.0 1.5930873e-06 1.5930873e-06 8.76198e-06 2.389631e-06 1.5930873e-06 1.1948155e-05 0.0015548532 7.9654365e-07 4.779262e-06 1.5930873e-06 3.982718e-05 2.2303222e-05 0.0 0.0 7.9654365e-07 0.0 0.0 0.0 0.0 0.0 0.0 6.372349e-06 0.005974077 1.8320503e-05 3.4251378e-05 1.8320503e-05 0.00013541243 7.4875104e-05 5.9740774e-05 6.372349e-06 4.3013355e-05 4.779262e-06 3.982718e-06 1.5134329e-05 2.7879027e-05 5.5758055e-06 2.2303222e-05 8.124745e-05 0.0028388815 5.5758055e-06 2.7879027e-05 3.6641006e-05 9.000943e-05 5.3368425e-05 7.089238e-05 5.5758053e-05 1.752396e-05 3.982718e-06 4.779262e-06 3.982718e-06 5.5758055e-06 3.1861746e-06 5.5758055e-06 3.9030638e-05 0.0013429726 2.389631e-06 3.5844463e-05 2.2303222e-05 9.7974866e-05 4.779262e-05 5.5758055e-06 2.5489397e-05 3.982718e-06 7.9654365e-07 3.1861746e-06 1.5930873e-06 1.5930873e-06 7.9654365e-07 0.0 3.9030638e-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 0.0011629537 1.3541242e-05 2.389631e-05 0.00024852162 1.0355067e-05 1.5134329e-05 1.752396e-05 1.5134329e-05 1.1948155e-05 1.752396e-05 1.4337786e-05 1.1151611e-05 1.2744698e-05 1.5134329e-05 2.4692852e-05 1.6727416e-05 0.14845662 0.0001441744 0.028995782 0.0039715664 0.004145213 0.0035071815 0.056983937 0.027179662 0.00014975021 0.00014736057 9.638178e-05 7.885782e-05 6.2130406e-05 6.4520034e-05 4.142027e-05 3.7437552e-05 0.01523788 0.0001680707 0.0022892663 0.0009351422 0.0010434722 0.00071848236 0.0029225186 0.0016623866 0.00017284996 0.00021984604 9.717832e-05 0.00011709191 0.00012266773 6.0537317e-05 9.000943e-05 0.00024374235 0.004203361 9.7974866e-05 0.00026046977 0.00043172666 0.00037517207 0.00025330088 0.0010984336 0.00065794506 0.0001513433 0.00015930872 7.4875104e-05 6.0537317e-05 5.5758053e-05 4.142027e-05 7.4875104e-05 0.00016010526 0.009008909 0.0002939246 0.00077105424 0.0007519372 0.0007814093 0.0009184148 0.0030571346 0.0014736057 0.00055917364 0.00017762923 0.00022701494 0.0002317942 0.00042455777 0.000164088 0.00028197645 0.00045323334 0.0074142283 0.0006866206 0.00077901967 0.0059334533 0.00076786807 0.00075273373 0.0017874439 0.0012449977 0.00072883745 0.00075034413 0.0004476575 0.0004492506 0.0005639529 0.00044606443 0.0005217361 0.001195612 0.009881124 0.0011087888 0.0010641823 0.003003766 0.001185257 0.002255015 0.0021395162 0.0014847573 0.005592533 0.00057829067 0.00074875104 0.0010952475 0.0025138918 0.00061732135 0.0023075868 0.008469649 0.06445153 0.013410608 0.0065292683 0.011916293 0.02054286 0.025627995 0.010750949 0.01901509 0.05582337 0.0030651 0.0037811927 0.006854258 0.027512617 0.0058816783 0.019336894 0.05786571 0.030266268 0.007519372 0.0038170372 0.007482731 0.010946102 0.01273036 0.005929471 0.010698377 0.024145627 0.0019993244 0.0024071548 0.0034426616 0.012878518 0.0032833528 0.009454177 0.02428821 0.0005408531 0.00023498037 0.00022542186 0.0002971108 0.0001569191 0.00018878085 0.00041021997 0.00028595916 0.00014815712 0.0001059403 0.00013620897 9.319561e-05 0.0001258539 9.638178e-05 9.0805974e-05 0.0001258539 1193.0 11.694887 13952.0 0.027881308 0.0017201835 0.0042287842 0.0014334862 0.0047305045 0.017416857 0.0017201835 0.0010034404 0.0045154816 0.0025802753 0.0012184633 0.002508601 0.004300459 0.0014334862 0.010822821 0.0039420873 0.027451262 0.01576835 0.012041285 0.013761468 0.020857224 0.009604358 0.017631881 0.010822821 0.014334862 0.013976491 0.0073824544 0.008027523 0.010822821 0.010392775 0.010392775 0.008744266 0.008242546 0.011037844 0.0035837155 0.009962729 0.008744266 0.006379014 0.008529243 0.0035837155 0.006379014 0.013188073 0.0010751147 0.0023652522 0.0076691513 0.007955848 0.0078125 0.004085436 0.011109518 0.0091743115 0.009891055 0.019567087 0.009102638 0.005088876 0.009962729 0.010822821 0.005088876 0.005088876 0.0027952981 0.0026519496 0.0037987386 0.0033686927 0.0042287842 0.015696675 0.0027236238 0.01727351 0.004802179 0.018133601 0.01677179 0.046158258 0.02809633 0.009030963 0.012399656 0.031034976 0.005733945 0.0037270642 0.020713877 0.012041285 0.02243406 0.030174885 0.0139048165 0.0013618119 0.03275516 0.024154244 0.050243694 0.012973051 0.0036553899 0.003225344 0.016556766 0.00831422 0.0012184633 0.0010751147 0.002508601 0.0012184633 0.0026519496 0.0014334862 6.089131 0.0 7.0 0.0 5.0 629031.0 53248.0 1.0 0.0 91.0 1.0 1.0 1.0 0.0 0.0 1161917600.0 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 -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 8.0 0.0 4.0 0.0 5.0 1.0 31744.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 -31744.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5342135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4139688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.256436 0.0 4.3250036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31422.0 0.0 3292.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 33232.0 3292.0 45056.0 0.0 0.0 6952.0 41472.0 2780.0 49152.0 56.0 35364.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 11472.0 0.0 0.0 384.0 4096.0 64.0 32916.0 0.0 0.0


Input: 0.14561374 0.008843337 0.0042229122 0.0038029416 0.0059813987 0.0027129648 0.0024457108 0.0028522064 0.008230973 0.002849212 0.0031419187 0.0022420888 0.005869107 0.0022997316 0.0019179403 0.006720277 0.0050838143 0.002524315 0.0018962306 0.0018595487 0.0032766685 0.0023745927 0.0018093918 0.0017786988 0.002829748 0.0019097056 0.0016881168 0.0017772015 0.0024614315 0.0017218044 0.0017247988 0.001780196 0.0033283227 0.0017382738 0.0019119515 0.002477901 0.0032437297 0.0019127 0.001709078 0.0017382738 0.0023079664 0.0016776363 0.0017689668 0.002549019 0.0023124581 0.002501108 0.0018385876 0.0016634127 0.0031464102 0.0022533177 0.0025879468 0.004444501 0.0025924384 0.002195675 0.0021537526 0.0020467013 0.0028589438 0.0023401566 0.0023671067 0.0032819088 0.0028289994 0.0026440925 0.002156747 0.0034877767 0.004188476 0.0023513858 0.0029128438 0.0018872473 0.0024509511 0.016866196 0.0025886954 0.0019942985 0.0031516505 0.004314991 0.004191471 0.0017472571 0.002400794 0.01362097 0.0019815722 0.0017719612 0.0054895612 0.004144308 0.0027728535 0.0022772735 0.0034548377 0.011393853 0.0026957467 0.0023438998 0.0023543802 0.0028843966 0.0017292905 0.0019284209 0.002233854 0.003477296 0.0022233734 0.0024861358 0.0025407842 0.002793066 0.0020392153 0.0021230597 0.0034922683 0.0035379336 0.0033455407 0.0018348445 0.0032459754 0.0025535107 0.0033612614 0.0019216833 0.0031688686 0.002013014 0.0025497677 0.0027152107 0.0027593786 0.0017345307 0.0030416048 0.0031441643 0.006420833 0.0057680444 0.0021500096 0.00183185 0.00248389 0.0019156944 0.0018086431 0.0015818141 0.002298983 0.0029427882 0.0018767667 0.0020504445 0.0029877047 0.0022712846 0.0017779501 0.010356279 0.0029787214 0.011076442 0.0017427654 0.0017322849 0.0031157173 0.019572424 0.0026687968 0.034215994 0.0023064693 0.012146955 0.0016132558 0.0016866196 0.00289338 0.0016432002 0.0016095127 0.0017554918 0.00224134 0.0062389206 0.00163796 0.0016446974 0.0024756552 0.001658921 0.0016169988 0.0016177475 0.0022346026 0.0017592348 0.0016372113 0.0017622293 0.0023963025 0.0024277442 0.0017247988 0.0020556846 0.0022967372 0.0017742071 0.0015945405 0.0016087642 0.002481644 0.0016432002 0.0016177475 0.0016694015 0.0022885026 0.0015990322 0.0016259822 0.0016229877 0.00254303 0.0016027753 0.0016387085 0.0015713336 0.0025108398 0.0017060835 0.003010163 0.0018962306 0.0028851451 0.0017921737 0.001770464 0.0016327196 0.0025505163 0.002441219 0.0020062763 0.0019014708 0.005373527 0.00314117 0.00278558 0.0033552726 0.0040380056 0.0020654167 0.0028349883 0.006633438 0.0035304476 0.0027137133 0.0018363418 0.0017457599 0.01182131 0.0018236154 0.0018835042 0.0017480057 0.0037056224 0.0019830693 0.002339408 0.0017143182 0.002931559 0.0016065183 0.001760732 0.0016776363 0.003242981 0.0018932362 0.0017697155 0.0019052139 0.003131438 0.002013014 0.0017929224 0.0017644751 0.0036472308 0.0020212485 0.0019231805 0.0017592348 0.0036292642 0.0027803397 0.0018288556 0.00183185 0.010172869 0.003350781 0.0021470152 0.0051871226 0.006668623 0.0017554918 0.001891739 0.0019748346 0.0052275476 0.0019329125 0.002474158 0.002030232 0.004639888 0.0020010362 0.0026979926 0.0026156453 0.005615328 0.002358872 0.0024075317 0.0027286855 0.0076770014 0.004154789 0.0062449095 0.05583437 0.06983884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006111947 2.0985226e-05 3.4850465e-05 6.370515e-06 2.061049e-05 1.5364183e-05 2.061049e-05 1.2366294e-05 1.1242086e-06 7.4947235e-07 0.0 7.494724e-06 7.4947235e-07 4.8715706e-06 7.4947235e-07 9.368405e-06 0.0031039398 3.6724145e-05 0.00018661862 5.4711483e-05 9.518299e-05 3.6724145e-05 0.0005032707 0.00027205847 2.847995e-05 3.2976783e-05 4.4968343e-05 2.6981006e-05 3.1103104e-05 2.7355742e-05 2.5107325e-05 9.855562e-05 0.010971901 0.00021847119 0.0004972749 0.00013940186 0.0014195007 0.00014877027 0.00059732946 0.00035599936 0.000107549284 0.00027168373 0.00010679982 0.00010117877 8.768827e-05 0.00020535543 6.970093e-05 0.0015855088 0.0054411693 0.0001285345 0.0004316961 0.00021584805 0.0008217965 0.00027917846 0.001674696 0.0009649457 0.00010530087 7.644618e-05 5.4336746e-05 4.3844135e-05 5.621043e-05 9.480825e-05 0.00011879137 0.00023683326 0.0050304583 0.0001697555 0.00052987697 0.00044818447 0.0014565996 0.00056510215 0.0025676924 0.0015862583 0.0005429927 0.00024207958 6.670304e-05 6.707778e-05 0.00012965871 0.000103427185 0.00023533433 0.0008405333 0.007290867 0.00054224324 0.00088287843 0.0007194935 0.0017072981 0.0009349668 0.0019441313 0.0015259257 0.007308105 0.0016098666 0.00039534667 0.0005471148 0.0011223349 0.0004257003 0.0012182674 0.012500824 0.009257108 0.0011639306 0.0014251217 0.0075569297 0.0023896927 0.0019272682 0.0024653894 0.0020374407 0.010776289 0.0027374479 0.0010260277 0.0012373789 0.0025193514 0.0013827765 0.0029214432 0.0159454 0.011809437 0.0014011386 0.0010151603 0.0015911298 0.005767939 0.0035386337 0.0012103979 0.0016237319 0.013678245 0.0017650074 0.0007955649 0.0013273156 0.004141959 0.0013554208 0.003478676 0.013804157 0.04812999 0.0064851847 0.0039381026 0.005044324 0.026151339 0.017158795 0.005760445 0.0076622306 0.04709497 0.0032538343 0.0030585967 0.004897802 0.020928267 0.005666011 0.016332502 0.03400169 0.014122308 0.0027565593 0.0020734153 0.003340773 0.0047760126 0.0056172954 0.0025620712 0.00411273 0.009251112 0.0007685839 0.0011290801 0.001723037 0.0048472127 0.0023492211 0.004545175 0.008166626 0.023899175 0.023584021 0.023683326 0.024011595 0.023868822 0.023705062 0.02394152 0.023683703 0.023463732 0.023677707 0.02377289 0.023486964 0.023497459 0.02362974 0.023665715 0.023553668 3974.0 10.441873 41496.0 0.019519953 0.0043377676 0.0039280895 0.004048583 0.013639869 0.0036871023 0.004410064 0.005181222 0.0058318875 0.0040967804 0.004144978 0.0040726815 0.005518604 0.0047474457 0.0077115865 0.0041690767 0.012555427 0.010989011 0.012748216 0.014218238 0.011663775 0.010507037 0.011037208 0.009735879 0.010699826 0.009037016 0.01156738 0.008530943 0.011928861 0.010989011 0.010410642 0.018122228 0.039642375 0.00915751 0.0050607286 0.0069163293 0.008145363 0.005952381 0.0068199346 0.004361866 0.0067235394 0.005952381 0.0052535185 0.003807596 0.0067717372 0.004795643 0.005181222 0.0041208793 0.010025063 0.005349913 0.0055909003 0.008868325 0.007759784 0.0115191825 0.009856372 0.0075669945 0.0067476383 0.0042895703 0.004458261 0.003976287 0.005928282 0.0043136687 0.004554656 0.017254675 0.006096973 0.025231348 0.0135434745 0.018025834 0.017929439 0.04443802 0.0091816075 0.008434548 0.009085213 0.025857914 0.0049161366 0.0059764795 0.020483902 0.012531328 0.021929825 0.03152111 0.015447272 0.0045064585 0.031424716 0.030942742 0.04178716 0.012844612 0.0080007715 0.0048197415 0.010097358 0.008314054 0.0050848275 0.003976287 0.0057595912 0.0034461152 0.0040967804 0.0037593986 6.223447 0.0 0.0 0.0 11.0 1335808.0 1355776.0 1.0 0.0 114.0 1.0 1.0 0.0 1.0 0.0 1539688700.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 607232.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -613376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -607232.0 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 -6.599606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1812787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.321355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1876955 0.0 5.004636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94010.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -606861.0 0.0 792.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 705744.0 792.0 1331200.0 0.0 0.0 0.0 0.0 18736.0 1335296.0 28.0 678720.0 0.0 0.0 0.0 0.0 24.0 678912.0 64.0 678752.0 0.0 0.0 468.0 614400.0 0.0 0.0 0.0 0.0


Input: 0.025869826 0.004645646 0.0040658424 0.0042101922 0.0038396951 0.0036424175 0.00391187 0.003950363 0.003608736 0.004029755 0.0038060136 0.0038974348 0.003690534 0.0036688817 0.003567837 0.004113959 0.003856536 0.003430705 0.0036015185 0.003538967 0.0035943012 0.0036592584 0.0035582138 0.003815637 0.0034764158 0.0034619807 0.0034812274 0.0035774603 0.0036736932 0.0035461846 0.0036881282 0.0044916733 0.0038060136 0.0033344722 0.0035774603 0.0035726486 0.0036785048 0.003555808 0.0035991126 0.0035606197 0.003471604 0.0035197206 0.0036857224 0.0037771438 0.0037194039 0.0036616642 0.0036255769 0.0039263046 0.0036015185 0.0033440953 0.003538967 0.0038204486 0.0036255769 0.0036785048 0.0035870837 0.003801202 0.0033922119 0.0036327944 0.0036039243 0.0036520408 0.0036688817 0.003976827 0.004186134 0.004739473 0.003991262 0.0036881282 0.0038228543 0.003526938 0.0039190874 0.0037097808 0.0035798661 0.0039311163 0.0036183593 0.0038060136 0.003500474 0.0037218097 0.003704969 0.0036712876 0.0035943012 0.003976827 0.003526938 0.0035606197 0.0037506795 0.0036544467 0.003649635 0.0042150035 0.003596707 0.0038036078 0.0035918953 0.003471604 0.0037145922 0.0039960737 0.0036255769 0.0036015185 0.0038637533 0.004903069 0.0037530854 0.0036015185 0.0033176313 0.003538967 0.0035221265 0.0037242156 0.0036857224 0.004005697 0.0036376058 0.0034860391 0.0037218097 0.0037627087 0.0037795496 0.0037482737 0.0038469126 0.004046596 0.0038661591 0.0035028798 0.00366407 0.0038036078 0.003745868 0.0037482737 0.003500474 0.0037771438 0.0037699263 0.0036736932 0.0036255769 0.0038589418 0.0039575803 0.0042559025 0.004585501 0.005427539 0.0048236772 0.0036183593 0.0038060136 0.0037194039 0.0033416895 0.003801202 0.0036039243 0.003716998 0.0035918953 0.0037699263 0.0036400117 0.004198163 0.0033922119 0.0037891727 0.003498068 0.003950363 0.0032887615 0.0035798661 0.0035197206 0.0035943012 0.0037266214 0.003704969 0.003733839 0.0041620755 0.003524532 0.0034186759 0.0035461846 0.0036785048 0.0034667924 0.0036664759 0.0039431457 0.0044483687 0.003786767 0.0035365613 0.003404241 0.0035943012 0.0036857224 0.0036833165 0.0034860391 0.0037434623 0.0034547632 0.0036303885 0.0039022465 0.0036616642 0.0037482737 0.003375371 0.0034836333 0.004316048 0.0039936677 0.0035485905 0.0038108253 0.0036688817 0.0036135477 0.003649635 0.0044339336 0.0038060136 0.0036785048 0.0037242156 0.003774738 0.003909464 0.0036977516 0.0037290272 0.0043449183 0.004727444 0.0045037027 0.0036833165 0.0037266214 0.0036736932 0.0036833165 0.0036063301 0.0035485905 0.0037819555 0.0042968015 0.0036424175 0.003471604 0.0037675204 0.0036135477 0.003514909 0.0036520408 0.0040899008 0.0041019297 0.0036111418 0.0037843613 0.0036929399 0.003649635 0.0036135477 0.0036785048 0.003868565 0.003565431 0.0037771438 0.0037266214 0.0037939844 0.0037482737 0.003950363 0.0038132311 0.0043858173 0.004051408 0.0038637533 0.0038348834 0.0037242156 0.0035798661 0.0038108253 0.0038036078 0.0043304833 0.0040225377 0.0038396951 0.0036376058 0.003991262 0.003909464 0.0038709708 0.0037699263 0.0042583086 0.0040008854 0.0039816387 0.0039166813 0.0039046523 0.004248685 0.004070654 0.0041019297 0.004484456 0.00407306 0.004241468 0.004457992 0.00470098 0.0044940794 0.00478759 0.004698574 0.009529469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020014697 3.7467125e-05 7.3725634e-05 2.5380956e-05 2.0546488e-05 7.493425e-05 2.1755106e-05 7.251702e-06 6.2848085e-05 1.0877553e-05 6.768255e-05 1.9337871e-05 9.6689355e-06 1.8129254e-05 1.208617e-05 1.208617e-05 0.0037346263 2.9006807e-05 0.00013657371 2.779819e-05 4.3510212e-05 0.00012932201 3.7467125e-05 4.9553295e-05 0.0003855488 3.7467125e-05 0.00013053064 3.7467125e-05 2.2963723e-05 3.625851e-05 3.1424042e-05 8.0977334e-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 0.001549447 6.163947e-05 3.7467125e-05 4.1092975e-05 0.0002936939 0.00017283222 3.8675742e-05 2.5380956e-05 2.779819e-05 3.0215424e-05 3.8675742e-05 3.988436e-05 2.9006807e-05 3.988436e-05 2.6589572e-05 2.2963723e-05 0.0036306854 9.6689355e-06 2.5380956e-05 3.0215424e-05 4.3510212e-05 9.306351e-05 0.00025139234 0.00016799776 0.0004000522 6.6473935e-05 2.4172339e-06 0.00059463957 0.0011107189 4.9553295e-05 0.000599474 0.0003504989 0.0029200185 0.00015832882 0.00023447169 0.00021513381 1.6920638e-05 0.0008895421 3.263266e-05 0.0008327371 4.834468e-05 0.00014745127 0.0003915919 0.00019217009 0.0002779819 0.0002199683 0.000120861696 0.0032028349 0.00098744 3.8675742e-05 0.00010152382 6.2848085e-05 0.00011481861 8.943766e-05 0.00044718827 0.00021513381 0.00013899094 1.8129254e-05 9.6689355e-06 1.4503404e-05 5.438776e-05 7.493425e-05 3.5049892e-05 7.251702e-05 0.0031665764 0.00029852838 0.00028402498 0.00026710433 0.00038434018 0.00026710433 0.00028160776 0.00028039914 0.0004894899 0.000242932 0.00019337871 0.00024534925 0.0002634785 0.0002139252 0.00024655787 0.00030094563 0.0026686261 0.000485864 0.0004060953 0.00041697285 0.000558381 0.00058134476 0.0004351021 0.000413347 0.0010140296 0.00025985265 0.00017645808 0.0001994218 0.00053058285 0.0002646871 0.0003492903 0.0011409344 0.001937413 0.0003625851 0.00033236967 0.00035775063 0.000583762 0.0004629003 0.00035170754 0.00035412476 0.0003081973 0.0002912767 0.00035291616 0.0003492903 0.00036137647 0.0003347869 0.00032632658 0.00035895922 0.060986813 0.05703101 0.05647142 0.058474097 0.057744093 0.057810567 0.05731745 0.060418762 0.057454024 0.057961643 0.057196587 0.060485236 0.05764015 0.059646454 0.060618185 0.068288065 1794.0 5.877369 10544.0 0.011760243 0.008345978 0.009484067 0.008345978 0.0097685885 0.010622155 0.009294385 0.008630501 0.009673748 0.009389226 0.008820182 0.01005311 0.007966616 0.00844082 0.013467375 0.00853566 0.010811836 0.009009863 0.0097685885 0.011096358 0.008820182 0.009009863 0.0075872536 0.0091047045 0.0091047045 0.010147952 0.009294385 0.0077769347 0.008251138 0.011760243 0.01005311 0.011760243 0.011665402 0.010811836 0.01005311 0.008725341 0.012139605 0.011191199 0.010622155 0.011665402 0.010527314 0.012329287 0.0097685885 0.0080614565 0.008915023 0.009578908 0.01138088 0.010242792 0.00995827 0.010716995 0.010622155 0.009673748 0.009389226 0.009294385 0.009578908 0.0091047045 0.008251138 0.010432473 0.011570562 0.010527314 0.0080614565 0.009294385 0.010906677 0.012234447 0.008251138 0.015174507 0.01005311 0.011665402 0.012898331 0.016502276 0.008915023 0.01005311 0.0097685885 0.013088012 0.010242792 0.010242792 0.016786799 0.010527314 0.010906677 0.012139605 0.00844082 0.010337633 0.015459029 0.013467375 0.012234447 0.014036419 0.00844082 0.00986343 0.012139605 0.01005311 0.009389226 0.010337633 0.010811836 0.0097685885 0.012329287 0.012424127 6.5638003 0.0 0.0 0.0 7.0 415658.0 651264.0 0.0 0.0 15.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 506368.0 1024.0 4096.0 10.0 4.0 0.0 0.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 512.0 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 -203264.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.148796 0.0 0.0 0.0 0.20692001 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.628458 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9984074 0.0 0.0 0.0 0.0 0.0 0.0 -7.6428595 7.334165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 4096.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -507904.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 872.0 643004.0 50688.0 585728.0 0.0 0.0 0.0 0.0 8.0 642644.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 638988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.27907088 0.041871127 0.033606663 0.007683368 0.028037835 0.0063759037 0.0147533575 0.005988507 0.006537319 0.0030184658 0.028538223 0.0043259296 0.004245222 0.0045519113 0.0021629648 0.002808626 0.0025987863 0.0091038225 0.008329029 0.0044227787 0.0018078513 0.003050749 0.0040676654 0.0058109504 0.002808626 0.002292097 0.003050749 0.001920842 0.0015980114 0.0018885589 0.0039708163 0.0019047004 0.0059400825 0.0024857954 0.0058432333 0.0013881715 0.0010169164 0.0017271437 0.0012428977 0.0009523502 0.016771048 0.0015011622 0.0076672263 0.0019692665 0.0016141529 0.0013881715 0.0024857954 0.0010491994 0.0034704288 0.0019047004 0.0015818698 0.0010169164 0.0009684917 0.0007425103 0.00058109505 0.0011460485 0.0020983987 0.0032928719 0.001920842 0.0009684917 0.0007425103 0.0033090133 0.00137203 0.0025503617 0.0020015496 0.004212939 0.0021791065 0.005245997 0.002195248 0.0023082385 0.002469654 0.0045519113 0.0012913223 0.002227531 0.0007747934 0.0010653409 0.0017755682 0.0028247675 0.0011137655 0.0017110021 0.0029377583 0.0009362087 0.0026794937 0.0037609763 0.003115315 0.001953125 0.0024857954 0.0012428977 0.0021791065 0.0015980114 0.0030346075 0.00082321797 0.00048424586 0.00059723656 0.00053267047 0.0071506975 0.0007425103 0.015060047 0.0023082385 0.006714876 0.006472753 0.02681108 0.0023243802 0.0068440083 0.0029538998 0.015108471 0.00082321797 0.0021306819 0.0100561725 0.0072475467 0.013462035 0.024567407 0.0068278667 0.0006779442 0.015512009 0.011541193 0.021500517 0.007360537 0.002227531 0.0017594267 0.0023728048 0.004487345 0.00137203 0.017997805 0.0016141529 0.0070861313 0.00082321797 0.00062951964 0.0037286931 0.0038255423 0.00046810435 0.0003873967 0.00041967974 0.0010007748 0.0025826446 0.00035511365 0.00062951964 0.0005003874 0.00046810435 0.00032283057 0.00041967974 0.0006779442 0.0006618027 0.0007263688 0.00029054753 0.00046810435 0.00029054753 0.0014527376 0.00035511365 0.0006618027 0.0010330578 0.0002259814 0.0003873967 0.00058109505 0.0007909349 0.00019369835 0.00035511365 0.00035511365 0.0002259814 0.00032283057 0.0005003874 0.00062951964 0.00064566114 0.00035511365 0.00024212293 0.00029054753 0.00032283057 0.00025826445 0.00059723656 0.00062951964 0.00032283057 0.00040353823 0.00035511365 0.000274406 0.00025826445 0.00025826445 0.000274406 0.0012267563 0.00043582128 0.00032283057 0.00032283057 0.0003873967 0.0005003874 0.00035511365 0.00035511365 0.00037125516 0.0002259814 0.00024212293 0.00020983987 0.00025826445 0.00037125516 0.00017755682 0.0007102273 0.00085550104 0.000548812 0.00043582128 0.0007102273 0.00014527376 0.0007909349 0.00019369835 0.0003873967 0.0005003874 0.00029054753 0.00020983987 0.0006779442 0.0007263688 0.00030668906 0.00040353823 0.0006779442 0.00058109505 0.00016141529 0.00019369835 0.00016141529 0.00014527376 0.000274406 0.00020983987 0.00019369835 0.0003873967 0.00017755682 0.00024212293 0.0006779442 0.0006133781 0.00029054753 0.00037125516 0.0003873967 0.0006779442 0.000274406 0.0009039256 0.00040353823 0.00046810435 0.0006133781 0.00035511365 0.00043582128 0.0006779442 0.000274406 0.00020983987 0.00030668906 0.00029054753 0.000274406 0.00037125516 0.00043582128 0.00030668906 0.00020983987 0.00041967974 0.00046810435 0.00041967974 0.00048424586 0.00016141529 0.00017755682 0.00053267047 0.0004519628 0.00029054753 0.0003873967 0.00017755682 0.00053267047 0.0010330578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012033236 0.0010344941 0.0012910487 0.00045517745 0.00034759004 0.000115863346 0.00048828125 0.00080276746 9.931144e-05 1.6551907e-05 0.0 4.965572e-05 9.931144e-05 8.275953e-06 5.7931673e-05 4.965572e-05 0.022419557 0.001423464 0.0020855402 0.0014896716 0.011437368 0.012430482 0.07732223 0.04063493 8.2759536e-05 8.275953e-06 8.275953e-06 8.275953e-06 9.103549e-05 0.0 3.3103814e-05 1.6551907e-05 0.23835574 0.027906515 0.027062368 0.0139201535 0.01114771 0.014449814 0.044731528 0.042695645 0.0059338585 0.0018455376 0.0012082892 0.0012910487 0.0028717557 0.0017958819 0.002300715 0.0031614143 0.105228744 0.011586335 0.0120249605 0.00603317 0.0052386783 0.004411083 0.01137116 0.012157376 0.0031696903 0.0032358977 0.0029545154 0.0019365731 0.0021931278 0.0018538135 0.0015558793 0.0014896716 0.0575096 0.013034627 0.008126986 0.0032772776 0.00638076 0.0027641684 0.0068690414 0.005495233 0.005669028 0.0015144994 0.0011172537 0.0015807071 0.0015062235 0.0010344941 0.0017958819 0.00096828653 0.022808528 0.0022427833 0.003384865 0.002507614 0.0030455508 0.0016469148 0.0045103948 0.0032441737 0.0021020921 0.0009434587 0.0008524232 0.00075311173 0.00090207893 0.00046345338 0.0009186308 0.00052138505 0.0061242054 0.0026483051 0.0017876059 0.00039724575 0.00086069916 0.0003889698 0.0005958686 0.0006372484 0.0004965572 0.0006206965 0.00036414195 0.0005131091 0.00041379768 0.00031448624 0.00038069385 0.0004055217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 932.0 14.12661 13166.0 0.003190035 7.595321e-05 0.0 0.00030381285 0.00022785964 0.0 0.0 0.0 7.595321e-05 0.0 7.595321e-05 0.0 0.0018228771 0.00037976608 0.0061522103 0.0 0.0024305028 0.0006076257 0.00075953215 0.00030381285 0.00022785964 7.595321e-05 0.0 0.00015190642 0.0 0.0 0.0 0.0 0.0015190643 0.0013671578 0.0015190643 0.00015190642 7.595321e-05 0.0090384325 0.005772444 0.013823485 0.0060003037 0.0044812397 0.006456023 0.004405286 0.0031140817 0.006683883 0.0011392982 0.0018228771 0.004329333 0.007595321 0.001443111 0.004405286 0.009494152 0.00037976608 0.008582713 0.014431111 0.009570105 0.005392678 0.005012912 0.0027343156 0.00075953215 0.0006835789 0.0005316725 0.00015190642 0.0 0.0 0.0 0.02787483 0.00037976608 0.058787785 0.0073674615 0.024456935 0.025975998 0.111271456 0.00638007 0.028938174 0.01040559 0.06220568 0.001443111 0.0063041165 0.040103298 0.028634362 0.057116818 0.061901867 0.021646665 0.0005316725 0.059851132 0.041470453 0.092586964 0.029469846 0.006683883 0.005772444 0.007823181 0.013215859 0.0015190643 0.0 0.0 0.00015190642 0.0 0.0 4.9049854 0.0 0.0 0.0 1.0 61952.0 90112.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 59904.0 512.0 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 -59904.0 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 -1.2075187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7268367 0.0 3.113906 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 -59652.0 0.0 808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 67760.0 808.0 73728.0 0.0 0.0 0.0 0.0 12.0 81920.0 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