Input: 0.3282318 0.013046265 0.0068969727 0.0064849854 0.009552002 0.0033721924 0.0025482178 0.0022888184 0.010513306 0.0018310547 0.002380371 0.0016021729 0.007858276 0.0031280518 0.0011444092 0.0065307617 0.007369995 0.000869751 0.00093078613 0.000579834 0.0032958984 0.0037078857 0.00079345703 0.00077819824 0.0025939941 0.00074768066 0.0004272461 0.000869751 0.0024108887 0.001159668 0.00062561035 0.0014038086 0.00831604 0.0010223389 0.0004272461 0.0011444092 0.010345459 0.0010681152 0.0004272461 0.0004272461 0.0012969971 0.00045776367 0.00036621094 0.0019683838 0.0008087158 0.0009460449 0.00076293945 0.00019836426 0.0018005371 0.0011901855 0.002029419 0.0056152344 0.0009765625 0.0015869141 0.00048828125 0.00036621094 0.0013275146 0.0021209717 0.00061035156 0.0042419434 0.0011291504 0.0014801025 0.0007019043 0.00088500977 0.020111084 0.005432129 0.001159668 0.0016784668 0.0057373047 0.010604858 0.0025024414 0.0020751953 0.0029296875 0.0013580322 0.0005187988 0.0007019043 0.0026397705 0.0060272217 0.0012359619 0.0008239746 0.006668091 0.0027618408 0.0021820068 0.0043029785 0.002166748 0.0031433105 0.004928589 0.0048065186 0.0010375977 0.0044555664 0.00035095215 0.0018005371 0.0009460449 0.0029449463 0.0032958984 0.0029449463 0.0009613037 0.0028686523 0.00044250488 0.0015563965 0.0024414062 0.007217407 0.002532959 0.0009918213 0.003753662 0.0026397705 0.005783081 0.00048828125 0.0022125244 0.0010681152 0.0029296875 0.003036499 0.0019226074 0.00035095215 0.0042266846 0.0028381348 0.014144897 0.013870239 0.0014190674 0.00091552734 0.0014038086 0.00090026855 0.00039672852 0.00030517578 0.0019683838 0.0032958984 0.0013885498 0.001373291 0.0057678223 0.002532959 0.0006713867 0.015975952 0.004470825 0.006729126 0.00045776367 0.0002746582 0.002746582 0.012268066 0.002380371 0.029373169 0.0012969971 0.008865356 0.0008087158 0.0010375977 0.0014648438 0.00032043457 0.00030517578 0.00039672852 0.0025482178 0.00062561035 0.00022888184 0.00033569336 0.00090026855 0.00033569336 9.1552734e-05 0.0001373291 0.0006866455 0.0001373291 0.00032043457 0.00016784668 0.0008239746 0.0027923584 0.00032043457 0.0015106201 0.0010681152 0.0009460449 0.00050354004 0.00021362305 0.0010681152 0.00039672852 0.0004272461 0.0007171631 0.00074768066 0.00012207031 0.00019836426 0.000289917 0.00076293945 0.00022888184 0.00018310547 0.00018310547 0.0009918213 0.00030517578 0.0008087158 0.00050354004 0.0018463135 0.0009918213 0.00048828125 0.0005950928 0.0011749268 0.00032043457 0.00088500977 0.0010986328 0.010772705 0.0048675537 0.001876831 0.006881714 0.0044555664 0.00062561035 0.002609253 0.003982544 0.0026397705 0.0025482178 0.00090026855 0.0005950928 0.006958008 0.0002746582 0.0009765625 0.00076293945 0.0014801025 0.001159668 0.001159668 0.0015411377 0.0009765625 0.00090026855 0.0011138916 0.0011138916 0.002090454 0.0010528564 0.00064086914 0.0008392334 0.00090026855 0.00033569336 0.00050354004 0.00035095215 0.0040893555 0.00074768066 0.0009765625 0.00021362305 0.0018920898 0.0008087158 0.0007019043 0.00036621094 0.01083374 0.0028839111 0.002670288 0.0058135986 0.004425049 0.0024261475 0.00076293945 0.0005950928 0.0035552979 0.00074768066 0.00036621094 0.0016479492 0.0022277832 0.0004272461 0.0032196045 0.0027008057 0.0048065186 0.0019683838 0.0008392334 0.0013427734 0.0049591064 0.0010681152 0.0028381348 0.032592773 0.06349207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014826699 6.975447e-05 8.525546e-05 2.3251489e-05 3.1001986e-05 3.875248e-05 6.975447e-05 0.00014725943 0.0002015129 3.1001986e-05 0.0 0.0 9.3005954e-05 0.0 7.7504965e-06 0.0002480159 0.042464968 0.00029451886 0.00034102183 0.000108506945 0.0006045387 9.3005954e-05 0.00046502976 0.00030226936 0.00031777035 0.00017826141 0.00017051092 9.3005954e-05 0.00052703376 0.00012400794 0.00034877233 0.0011858259 0.026646206 0.0002092634 0.0002015129 0.0001937624 0.00025576638 0.00022476439 0.00021701389 0.00031001985 0.00074404763 6.200397e-05 6.975447e-05 1.5500993e-05 0.00057353673 1.5500993e-05 0.00036427332 0.0016431052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035536025 0.00051928323 0.0004107763 0.00051153277 0.0016198537 0.0007672991 0.0025344123 0.0016508556 0.0005890377 0.00048053075 0.0005502852 0.00036427332 0.0007517981 0.00046502976 0.0004107763 0.00045727927 0.010726687 8.525546e-05 0.00033327134 9.3005954e-05 0.0011548239 0.000922309 0.000875806 0.0004185268 0.00013950893 6.200397e-05 4.6502977e-05 4.6502977e-05 6.200397e-05 0.0007828001 7.750496e-05 4.6502977e-05 0.009796627 0.0007750496 0.0012400794 0.0001937624 0.0003952753 0.00023251488 0.0016896081 0.000875806 0.00034877233 7.7504965e-06 1.5500993e-05 7.7504965e-06 7.7504965e-06 2.3251489e-05 0.0 0.00026351688 0.03342789 0.0011703249 0.0017361111 0.00088355655 0.004084511 0.002952939 0.0066964286 0.003999256 0.0023794023 0.0006665427 0.00068204367 0.0005890377 0.0012710814 0.0013330854 0.00067429314 0.0009455605 0.0047278027 0.00051153277 0.0016508556 0.0004960318 0.00054253475 0.00034102183 0.004549541 0.0024181549 0.00022476439 7.7504965e-06 1.5500993e-05 0.0 7.7504965e-06 1.5500993e-05 0.0 0.00036427332 0.016834076 0.0007595486 0.0020228794 0.0011315724 0.002797929 0.0015113468 0.008758061 0.005107577 0.0016121032 0.0002480159 0.00044177828 0.00030226936 0.0011470735 0.001922123 0.0011315724 0.001891121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06340681 0.008517795 0.008835565 0.0076187374 0.02314298 0.015896268 0.0052625868 0.012873574 0.040845115 0.0036814855 0.0041852677 0.0040225075 0.01781839 0.0037667411 0.013524615 0.020569816 0.07788473 0.015973773 0.013354105 0.015710255 0.031792536 0.026467944 0.010029142 0.023251489 0.049758185 0.0037047372 0.006037636 0.006045387 0.030195933 0.007944259 0.024111792 0.038690478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 287.0 13.275261 3810.0 0.053543307 0.0015748031 0.0002624672 0.001312336 0.009448819 0.0031496063 0.0 0.001312336 0.0018372703 0.0007874016 0.0002624672 0.0015748031 0.0005249344 0.0036745407 0.005249344 0.0005249344 0.006824147 0.0023622047 0.004199475 0.002887139 0.0010498688 0.0007874016 0.004199475 0.0010498688 0.0015748031 0.0010498688 0.0010498688 0.002887139 0.0015748031 0.0 0.0002624672 0.0002624672 0.0018372703 0.014173228 0.00839895 0.012335958 0.010761155 0.008136483 0.0060367454 0.010761155 0.007086614 0.006824147 0.0 0.0031496063 0.007874016 0.017847769 0.003937008 0.0049868766 0.012860892 0.003937008 0.013648294 0.022834646 0.00839895 0.005774278 0.009186352 0.022047244 0.0010498688 0.002624672 0.0 0.001312336 0.0005249344 0.0010498688 0.0010498688 0.009711286 0.0020997375 0.044094488 0.005511811 0.022834646 0.026246719 0.098425195 0.01023622 0.009448819 0.013910761 0.03937008 0.0062992126 0.003937008 0.02808399 0.013910761 0.04593176 0.04776903 0.017585302 0.0002624672 0.052230973 0.031496063 0.07296588 0.022572178 0.0073490813 0.0060367454 0.005511811 0.0047244094 0.0018372703 0.0 0.0007874016 0.0 0.0 0.001312336 5.399252 0.0 0.0 0.0 3.0 65536.0 86016.0 0.0 0.0 110.0 0.0 1.0 0.0 0.0 0.0 1131782900.0 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 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 45056.0 4096.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 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 5.122531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7211065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6474733 0.0 2.5833323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6882.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42336.0 0.0 1480.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 -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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 53784.0 1480.0 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 0.0 0.0 72.0 53640.0 0.0 0.0 456.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.39301243 0.0076473234 0.0017857386 0.0028626344 0.0021537917 0.006052427 0.0018811597 0.012050328 0.011096116 0.0013086329 0.0052209 0.00087242195 0.0010632642 0.0016494227 0.0011586854 0.0020856336 0.0027944765 0.0010496327 0.0009951063 0.001172317 0.00089968514 0.0017448439 0.0015676331 0.001172317 0.0007088428 0.0019220546 0.0010087378 0.00096784305 0.0011995801 0.0009814746 0.0014585804 0.0012268433 0.0044302675 0.0012677381 0.0020174757 0.0013086329 0.0013086329 0.0017175807 0.00094057986 0.0010087378 0.0012950012 0.0012132117 0.001172317 0.0009814746 0.001036001 0.0014176856 0.002276476 0.0020038441 0.0024400551 0.0012404749 0.0022219496 0.0017312123 0.0011586854 0.00083152717 0.0007906324 0.0011177906 0.0015948963 0.0015131067 0.0009814746 0.0016630543 0.0010768959 0.0014313172 0.0012950012 0.0012132117 0.0011859486 0.0016494227 0.0012268433 0.0013767908 0.0015267384 0.0029171607 0.0015403699 0.0013495276 0.0009951063 0.0011586854 0.0013222644 0.0013767908 0.0018811597 0.0020856336 0.0012950012 0.0013358961 0.0031625296 0.0018811597 0.0020174757 0.0022492127 0.0020992653 0.014885699 0.001608528 0.0025900025 0.0021810548 0.0020583705 0.0014313172 0.0016494227 0.001608528 0.002208318 0.0014585804 0.0014994752 0.0012950012 0.0027535816 0.0017857386 0.0024127918 0.002508213 0.0044438993 0.0015540016 0.0023582655 0.0025218446 0.0033670033 0.0020311072 0.0011450538 0.003039845 0.001840265 0.0030534768 0.0032579505 0.00273995 0.0013086329 0.0031216347 0.0029716871 0.0032988454 0.0029307925 0.0012132117 0.0022901075 0.0019493178 0.002549108 0.001104159 0.00085879036 0.0020174757 0.0012404749 0.0011177906 0.0014449488 0.0041985307 0.000804264 0.00092694827 0.001404054 0.0012541065 0.0017039491 0.0012132117 0.0011314222 0.0032306875 0.0020856336 0.00083152717 0.0028490028 0.0010496327 0.0017448439 0.00095421146 0.0031216347 0.0029580556 0.0007497376 0.00089968514 0.0009951063 0.0011177906 0.0013086329 0.00092694827 0.0012677381 0.0015267384 0.0014313172 0.00062705326 0.0010632642 0.00096784305 0.0011859486 0.00089968514 0.00095421146 0.0011177906 0.0011314222 0.0012541065 0.0013767908 0.0011995801 0.0010905274 0.0007497376 0.001472212 0.0014585804 0.0011859486 0.0010087378 0.0011177906 0.001172317 0.0010905274 0.0011450538 0.0009951063 0.001104159 0.0017039491 0.0014176856 0.0023310024 0.0013495276 0.0012541065 0.0010905274 0.0012541065 0.0024127918 0.0012541065 0.0012813697 0.0016903175 0.0014176856 0.0016221595 0.001172317 0.0011995801 0.00368053 0.0012132117 0.0013086329 0.0014994752 0.0015540016 0.001172317 0.0016903175 0.0017312123 0.0016903175 0.0011859486 0.0014313172 0.0015676331 0.0030807399 0.0015131067 0.0021128969 0.0014176856 0.001608528 0.0010223695 0.0015948963 0.0010905274 0.0024536867 0.0014176856 0.0018130018 0.0021946863 0.0029035292 0.0026036343 0.0020992653 0.0024400551 0.0024127918 0.0026445289 0.0020311072 0.0018130018 0.0031216347 0.0015676331 0.0016766859 0.0020992653 0.0019493178 0.0022901075 0.0019220546 0.0019902126 0.0030534768 0.0029307925 0.0018811597 0.0018130018 0.0024264234 0.0024264234 0.0020992653 0.0022628445 0.0029171607 0.002072002 0.0024264234 0.0022628445 0.0039258986 0.0026445289 0.002072002 0.0029035292 0.005888848 0.0024536867 0.004689268 0.0025900025 0.0035442142 0.003748688 0.0047574257 0.10529042 0.12845983 5.580357e-05 0.0 1.3950893e-05 1.3950893e-05 1.3950893e-05 0.0 0.0 1.3950893e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013476563 6.975447e-05 4.185268e-05 3.4877234e-05 4.8828126e-05 3.4877234e-05 6.975447e-05 4.8828126e-05 0.00023018973 2.7901786e-05 6.975447e-05 2.092634e-05 2.7901786e-05 4.185268e-05 2.092634e-05 2.092634e-05 0.012493025 0.00016043527 0.0002511161 7.672991e-05 0.0002720424 0.00012555804 0.0002999442 0.00011858259 6.9754465e-06 5.580357e-05 6.9754465e-06 0.00016043527 3.4877234e-05 1.3950893e-05 6.975447e-05 0.00013950893 0.011467634 0.0 0.0007114955 0.00013950893 2.7901786e-05 5.580357e-05 0.0011997768 0.0006766183 0.0 0.0 0.0 0.0 0.0 0.0 6.9754465e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017159598 6.277902e-05 0.0015206473 0.0005371094 0.0010951451 0.0006068638 0.0047154017 0.0024135045 2.092634e-05 4.8828126e-05 6.975447e-05 7.672991e-05 6.975447e-05 2.7901786e-05 6.975447e-05 7.672991e-05 0.024546595 0.00032087055 0.00031389509 0.0004952567 0.00059291295 0.001813616 0.00071847095 0.00062779017 0.0008789062 0.0005440848 0.0005998884 0.0010044643 0.00096958707 0.0004813058 0.0008998326 0.008049665 0.015583147 0.00042550222 0.00034877233 0.0002092634 0.00046037947 0.0008998326 0.00082310266 0.0009905134 0.0012067523 0.00047433036 0.00036969865 0.0004394531 0.00080217636 0.0007672991 0.000390625 0.0043805805 0.019273158 0.001109096 0.00085797993 0.0012765067 0.0010881696 0.0013392858 0.0009905134 0.00085797993 0.0007045201 0.0006696429 0.00092075893 0.0011021205 0.0009347098 0.00095563615 0.0011509487 0.009626116 0.04915597 0.001764788 0.0035714286 0.0031180244 0.0026436942 0.0075683594 0.005301339 0.0044154576 0.0047572544 0.0023018974 0.0024553572 0.0037388392 0.0036969867 0.003125 0.003390067 0.027566964 0.06074219 0.0039899554 0.004157366 0.0041015623 0.0042759487 0.011788504 0.0060128346 0.0061732703 0.0065987725 0.004310826 0.003996931 0.0047921315 0.0059291297 0.0074637276 0.007254464 0.02984096 0.066706195 0.008628627 0.011530413 0.009458706 0.010058594 0.015457589 0.013636998 0.01132115 0.009326172 0.007519531 0.008224051 0.010219029 0.0125139505 0.01717355 0.019412667 0.06881278 0.021861048 0.00461077 0.0024344309 0.0032854353 0.003941127 0.0058035715 0.006222098 0.0051478795 0.005419922 0.003313337 0.00226702 0.0023925782 0.0034737724 0.0028180804 0.003592355 0.00913086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 395.0 11.878481 4692.0 0.028132992 0.0010656436 0.013000852 0.004049446 0.0042625745 0.007885763 0.0012787724 0.0051150895 0.0017050299 0.0017050299 0.0025575447 0.0034100597 0.0027706735 0.003196931 0.011935209 0.004049446 0.006393862 0.0044757035 0.013853367 0.007885763 0.004901961 0.0042625745 0.0036231885 0.0036231885 0.005541347 0.007885763 0.0066069905 0.0051150895 0.0059676045 0.01001705 0.007033248 0.0017050299 0.0042625745 0.012361466 0.004688832 0.006393862 0.0059676045 0.007246377 0.010230179 0.008525149 0.002344416 0.0053282185 0.0042625745 0.0051150895 0.007885763 0.010230179 0.0059676045 0.0036231885 0.0095907925 0.0068201195 0.006393862 0.0051150895 0.013640239 0.17263427 0.004901961 0.011935209 0.0051150895 0.0027706735 0.0019181586 0.004688832 0.008951407 0.0066069905 0.0053282185 0.0059676045 0.0038363172 0.018755328 0.009377664 0.019181585 0.021099744 0.045822676 0.0074595055 0.013640239 0.0074595055 0.025788575 0.0042625745 0.003196931 0.021099744 0.012148337 0.024296675 0.024722932 0.014279624 0.0042625745 0.023870418 0.023870418 0.025788575 0.012574595 0.004901961 0.012787724 0.0057544755 0.015771527 0.0038363172 0.0036231885 0.0042625745 0.0057544755 0.002344416 0.002344416 5.752801 0.0 1.0 0.0 1.0 73359.0 73728.0 1.0 0.0 45.0 0.0 1.0 0.0 0.0 0.0 1091600400.0 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 -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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 8192.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5331842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.353226 0.0 5.965998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5105.0 0.0 54080.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8048.0 54080.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 9104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88.0 592.0 192.0 4096.0 96.0 7800.0 0.0 0.0


Input: 0.1881904 0.012118913 0.0052053053 0.00561637 0.007434593 0.0033502907 0.0029365008 0.002455487 0.009630723 0.001575218 0.0014943677 0.0017755269 0.006619731 0.0018463845 0.0014071584 0.0058053234 0.005641352 0.0014216934 0.0011228197 0.0012422784 0.003002816 0.0042896075 0.0012359193 0.00086073764 0.0031640625 0.0027311954 0.0010733103 0.00182867 0.0036514353 0.005826217 0.0038013263 0.0011496184 0.0050377 0.00087618094 0.0012272892 0.0009406795 0.0031854105 0.0013013263 0.0007953307 0.00079442223 0.0023837208 0.0009193314 0.000853016 0.0026530705 0.0017650799 0.0013626453 0.0010519623 0.00065906614 0.0045389715 0.0022769803 0.0024186955 0.0078029614 0.0034624818 0.0028047783 0.0025876635 0.0026094657 0.0042142076 0.008342569 0.0058316677 0.0045180777 0.003173601 0.0028047783 0.0021765989 0.0028202217 0.0067746183 0.0058098654 0.0020466933 0.0030577763 0.0027202943 0.015945677 0.003186319 0.0026880451 0.0025349746 0.0018895349 0.0018922602 0.0012100291 0.00211528 0.008045058 0.0016179143 0.001564771 0.010648619 0.0028197675 0.0020993822 0.0034801962 0.0025036337 0.005595476 0.010952035 0.004594386 0.0025912973 0.004906432 0.0014989099 0.0027434593 0.0019613008 0.0058012353 0.0032113008 0.0024332304 0.0015625 0.0015502361 0.0007399164 0.0010460574 0.0023201308 0.0027212028 0.0015102653 0.0010796693 0.0054592113 0.0015843023 0.006630178 0.0008652798 0.0020139897 0.0009097929 0.0014752907 0.0016260901 0.0026598838 0.00076444406 0.0017682594 0.00197629 0.010451036 0.012880178 0.0018291243 0.0013939862 0.0026953125 0.0010160792 0.0006495276 0.00074355013 0.0016478924 0.0036827761 0.0015856649 0.0010633176 0.002447311 0.0016833212 0.00060319767 0.0104060685 0.003055051 0.010514625 0.0017832485 0.00139762 0.0018036882 0.013172238 0.0008144077 0.038574673 0.0014462209 0.014631177 0.0017092115 0.0010356104 0.0036005632 0.00047692587 0.000947947 0.0009615734 0.0018504724 0.0007399164 0.00055414246 0.00047647164 0.0013626453 0.0008212209 0.0004051599 0.0005005451 0.0013462936 0.00059047964 0.00074309594 0.0014180596 0.00423919 0.0014071584 0.0005296148 0.0007776163 0.0015116279 0.003876272 0.00055505085 0.00045148982 0.0017632631 0.0005709484 0.000475109 0.00065043604 0.0015352471 0.0004419513 0.0005255269 0.0005627725 0.0017305596 0.0005087209 0.00044649345 0.0009365916 0.0013526526 0.0009556686 0.0011341751 0.0012640806 0.0031304506 0.0008589208 0.00051008357 0.00090706756 0.0014793787 0.00075626816 0.0013163154 0.0008875363 0.0101453485 0.0023850836 0.003606468 0.0031254543 0.0023060502 0.0017246548 0.005730378 0.0026439861 0.004032976 0.0022919695 0.0007503634 0.0019354107 0.0036387173 0.00081894983 0.0028924418 0.0022942405 0.0022869732 0.00089344115 0.0010419695 0.0006822311 0.0025413337 0.00046557048 0.0009520349 0.0007667151 0.002951944 0.0012695312 0.0010637718 0.0016438045 0.002510901 0.0013117732 0.00063453853 0.00057867006 0.0030014536 0.00069631176 0.0005714026 0.00044694767 0.002440952 0.0015443314 0.00055505085 0.0005137173 0.021004269 0.0032744368 0.0010351562 0.004666152 0.007050781 0.000553234 0.000817133 0.0009956395 0.0058248546 0.0021343569 0.0012613554 0.0013140443 0.0031917696 0.0010265262 0.0032626272 0.0022801599 0.004795149 0.0019844659 0.0013453852 0.0014266897 0.0078956215 0.0023809955 0.0053665517 0.07496684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037194807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004656508 0.001163559 6.7709545e-05 2.0449192e-05 1.6586566e-05 1.0906236e-05 1.0451809e-05 3.3400345e-05 9.315743e-06 3.4081986e-06 2.4993456e-06 4.0898385e-06 2.0449193e-06 8.40689e-06 2.953772e-06 1.5904926e-06 3.862625e-05 0.004514954 0.00021562536 7.9751844e-05 9.179415e-05 2.2721324e-05 2.9310508e-05 0.0001835883 9.065808e-05 5.9302656e-05 1.2496728e-05 1.1133448e-05 1.4541647e-05 6.202921e-05 9.542956e-06 3.9762315e-05 0.00061211246 0.0036204157 0.00015427779 0.000109743996 0.00017018271 0.0005528098 0.0003858081 0.00023448406 0.00011701482 2.9764935e-05 3.635412e-05 1.9313125e-05 1.9085912e-05 6.907283e-05 1.54505e-05 2.6583948e-05 0.00048896286 0.020820685 0.0009254395 0.0008740893 0.00034536413 0.0004407937 0.0018067997 0.0008113785 0.00052486255 0.00022062406 0.00057621277 0.0002747008 0.00019767552 0.00027242868 0.00026379456 0.00025334276 0.003034433 0.012964787 0.00054553896 0.00020562798 0.00044192976 0.0004137553 0.001773172 0.0006577823 0.00065164757 0.00028060834 0.00027810902 0.00028197162 0.00025675097 0.00044397466 0.00043783992 0.00029083295 0.0014809759 0.010245045 0.0015509576 0.0005684875 0.0012680771 0.0018067997 0.0016561573 0.003144177 0.0015698163 0.00020176536 0.00020699126 0.00045079106 0.00019699387 0.0007636637 0.00015836762 0.00018858699 0.0016166222 0.031238185 0.0075796065 0.0022228272 0.0057103233 0.004490188 0.0023407508 0.004052575 0.0020871807 0.0012521722 0.0011287953 0.0026184053 0.0008924936 0.0031446312 0.0008990828 0.0010274582 0.011679215 0.024220249 0.00688138 0.0038205907 0.03233517 0.009089438 0.0037667411 0.0042861504 0.0033922936 0.002884472 0.0028388023 0.0033348086 0.002439134 0.0037706038 0.0026163606 0.0026327197 0.007093597 0.012178402 0.0020496906 0.0016279828 0.0020235612 0.0073760236 0.0021462562 0.0018581499 0.0014598451 0.004717174 0.0010535878 0.0010853977 0.0010036009 0.0020471914 0.0013189729 0.0020567342 0.0076493607 0.070183896 0.009527505 0.0068582045 0.009167145 0.017138923 0.02541153 0.00832691 0.016160542 0.04723513 0.0050718538 0.00457971 0.006356972 0.019009113 0.0062740394 0.020418063 0.041449375 0.061305996 0.011823495 0.008629331 0.009986249 0.021056306 0.027815672 0.008804059 0.01993478 0.047358964 0.0049414337 0.006512386 0.006097949 0.019925693 0.008911985 0.021465743 0.03976686 0.0012037758 0.00072526466 0.00079002045 0.0007527575 0.00070640596 0.00072026596 0.000700044 0.00081842206 0.00087749754 0.0006471033 0.00070436107 0.0006961814 0.0008154683 0.00068550237 0.00078070466 0.0009402084 7052.0 13.51886 95335.0 0.013268999 0.001059422 0.0011328473 0.0011957833 0.0097236065 0.00202444 0.0011118687 0.001730739 0.008213143 0.0010804007 0.000996486 0.0017936749 0.007762102 0.0012901872 0.006713169 0.000996486 0.02507998 0.016761946 0.018178005 0.017643047 0.02385273 0.01668852 0.016971732 0.018492684 0.02215346 0.01994021 0.018461216 0.017097604 0.0236849 0.016625583 0.015450778 0.022017097 0.021240888 0.014548697 0.010499816 0.019772382 0.014475271 0.009681649 0.010835475 0.005580322 0.009408927 0.0097655635 0.0011643153 0.0019090575 0.0124193635 0.009534799 0.0060103843 0.008370483 0.019573085 0.0038915405 0.008013846 0.01044737 0.017632559 0.004772644 0.010814496 0.007216657 0.008957885 0.0022237373 0.0015104631 0.0025279277 0.009031311 0.0025698852 0.002758693 0.0124822995 0.007436933 0.020527612 0.0057481513 0.010856453 0.017233964 0.03239104 0.0038600725 0.0057586404 0.013195573 0.017569622 0.0035034353 0.003178266 0.021712907 0.0071642105 0.016971732 0.023338754 0.013688572 0.0010804007 0.020926207 0.01293334 0.036408454 0.0098494785 0.0032831593 0.003367074 0.010992815 0.0043111136 0.0016887817 0.0011433366 0.0074159545 0.001027954 0.0014789951 0.001122358 6.146545 1.0 0.0 0.0 15.0 2201600.0 2306048.0 1.0 0.0 588.0 1.0 1.0 0.0 1.0 0.0 1479635200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1452544.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -120832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 325632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1454080.0 0.0 184832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.490306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1733546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2138877 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.556788 0.0 4.7866745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -120676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 325182.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -198308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1453502.0 0.0 184392.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 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 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -3.0 1.0 -1.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -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 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1770256.0 184392.0 1994752.0 0.0 0.0 0.0 0.0 120676.0 2183168.0 84.0 1669104.0 0.0 0.0 0.0 0.0 24.0 1669284.0 64.0 1669192.0 0.0 0.0 2412.0 1458176.0 0.0 0.0 0.0 0.0


Input: 0.2581628 0.013183594 0.006199049 0.0067828633 0.01421323 0.004139776 0.0027067766 0.0020911174 0.009542714 0.004139776 0.0022715693 0.0019637397 0.008682914 0.0042777685 0.0012950068 0.009330418 0.009118122 0.0010508662 0.0008597996 0.00092348846 0.00474482 0.007090693 0.00084918475 0.0006262738 0.0030252207 0.0005944293 0.0005625849 0.0007536515 0.002345873 0.0014966882 0.0005307405 0.001008407 0.009256114 0.0033012058 0.0016983695 0.0010933254 0.02087933 0.0015709918 0.0005625849 0.00049889606 0.0013480808 0.0005307405 0.0007961107 0.0025263247 0.0015497622 0.0014648438 0.0009977921 0.0005413553 0.0029190728 0.0009871774 0.0013056216 0.0053710938 0.001613451 0.0014542289 0.0005731997 0.0006581182 0.0022503396 0.0017832881 0.0012525476 0.004298998 0.0026855469 0.0016559103 0.0009871774 0.0007748811 0.009033203 0.026176121 0.001114555 0.0018257473 0.012907608 0.006453804 0.004500679 0.0024201765 0.0035878057 0.0017195992 0.0009977921 0.00083856995 0.006305197 0.003396739 0.0024095618 0.0018788213 0.010498047 0.004840353 0.0042777685 0.0042140796 0.004797894 0.0054772417 0.007027004 0.0044476055 0.0019637397 0.0053498643 0.0018151324 0.0033118206 0.001953125 0.002728006 0.004309613 0.0039380942 0.00090225885 0.0025050952 0.0027492358 0.004670516 0.0027386209 0.0048191235 0.006517493 0.0018575917 0.0045855977 0.0027704653 0.007366678 0.0009977921 0.0035878057 0.0007748811 0.0024095618 0.0026112432 0.0014860734 0.00038213315 0.0026961616 0.0021441916 0.011368461 0.009319803 0.00083856995 0.00084918475 0.001061481 0.0007961107 0.00037151834 0.00021229619 0.0035028872 0.0029403022 0.0017620585 0.0008067255 0.005095109 0.0027067766 0.00041397757 0.014712126 0.0028129246 0.0055409307 0.00038213315 0.00037151834 0.003969939 0.013236668 0.003853176 0.031324305 0.0011357847 0.010954483 0.0007430367 0.00068996265 0.011994735 0.00021229619 0.00021229619 0.00020168138 0.0011357847 0.00046705164 0.00019106657 0.00026537024 0.0004352072 0.0011357847 0.00013799252 0.00019106657 0.00068996265 0.00011676291 0.00028659985 0.00014860733 0.0011039402 0.0034710427 0.0003184443 0.0013056216 0.00072180707 0.00066873303 0.00029721466 0.00024414062 0.0007536515 0.00019106657 0.00081734033 0.0008704144 0.00090225885 0.000106148094 0.0005838145 0.0013799253 0.0007430367 0.00016983696 0.00018045177 0.00021229619 0.00067934784 0.00037151834 0.0007642663 0.00082795514 0.0017408289 0.0009341033 0.0005307405 0.0004352072 0.0011463994 0.00029721466 0.0011994735 0.003577191 0.0076002036 0.0050101904 0.002452021 0.007366678 0.0068465522 0.00040336276 0.0026006284 0.0030570652 0.0025475544 0.0026006284 0.0010933254 0.00049889606 0.002176036 0.00040336276 0.00071119226 0.0005413553 0.0018788213 0.0018894362 0.0013586957 0.0012207031 0.0005307405 0.00070057745 0.0005413553 0.0007961107 0.0013268512 0.0005519701 0.0005731997 0.0008704144 0.00066873303 0.0003078295 0.00035028873 0.00027598505 0.002069888 0.001284392 0.00070057745 0.00029721466 0.0010933254 0.00015922215 0.0006581182 0.00035028873 0.010455588 0.0023564878 0.00044582202 0.00417162 0.0037788723 0.00033967392 0.00037151834 0.0003290591 0.00251571 0.00068996265 0.0009447181 0.0016665251 0.0019318954 0.00067934784 0.0023140286 0.0029084578 0.0037257983 0.0016559103 0.0009341033 0.0011570143 0.0025793987 0.00091287366 0.0020805027 0.02871306 0.06584285 1.0731456e-05 5.365728e-06 0.0 5.365728e-06 1.0731456e-05 2.682864e-05 2.1462913e-05 0.0 0.0 5.365728e-06 5.365728e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009835379 0.00019853194 0.00019316621 6.438874e-05 0.00010194883 0.00012877748 0.00018243476 0.00014487466 1.6097185e-05 2.682864e-05 1.0731456e-05 3.219437e-05 2.1462913e-05 5.365728e-06 1.0731456e-05 1.6097185e-05 0.0180986 8.585165e-05 0.00010731456 0.00022536058 0.0010302198 0.0001341432 7.5120195e-05 9.121738e-05 0.00023609203 0.00010731456 0.00012877748 0.00016633757 0.00013950893 0.00010194883 0.00011804602 0.0011321686 0.016231326 0.0003058465 0.000493647 4.8291553e-05 0.0013253348 8.048592e-05 0.00031121224 0.0002092634 0.00025218923 8.585165e-05 5.365728e-05 0.00011268029 9.121738e-05 4.2925825e-05 9.6583106e-05 0.0022375085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027139852 0.00085315073 0.00039706388 0.00024145776 0.0040618563 0.0007833963 0.0032891913 0.0013843578 0.0004614526 0.00021999485 0.00031657796 0.0003219437 0.00035413806 0.00021462912 0.0002468235 0.0036701579 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01632791 0.00060096156 0.0005741329 0.0007136418 0.0024038462 0.0014487465 0.004555503 0.0024145776 0.00094436813 0.00033267515 0.0005741329 0.0003058465 0.00050974416 0.00039706388 0.00042925825 0.00043462397 0.010736822 0.0004185268 0.0019423935 0.00065461884 0.0013253348 0.00086924795 0.0023770174 0.0013038719 0.0005902301 0.00012877748 8.048592e-05 0.00012341175 0.0004990127 0.00017706903 0.00023609203 0.0005151099 0.018216647 0.0015614269 0.0048237895 0.0020604397 0.0047701322 0.0028062759 0.010640238 0.004984761 0.0014863067 0.00039169815 0.00024145776 0.0003434066 0.0009282709 0.0003648695 0.00050974416 0.00081559067 0.008214929 0.0007404705 0.0010033911 0.00071900757 0.0013146034 0.0018243475 0.0004614526 0.00091753947 0.0021033655 0.00045608688 0.0001717033 0.00018243476 0.0011804602 0.00048828125 0.00068144745 0.0015185011 0.05225146 0.008418827 0.010071471 0.0076515283 0.021650713 0.017127404 0.006551554 0.011080229 0.031797305 0.0021999485 0.0027257898 0.0034501632 0.013242616 0.003986736 0.009626116 0.017948361 0.10008693 0.022578983 0.029345166 0.01846347 0.048414964 0.04638672 0.023780907 0.018286401 0.06111564 0.01404211 0.009567093 0.008885645 0.029425653 0.008209564 0.017213255 0.027713986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 564.0 9.58156 5404.0 0.047557365 0.0038860103 0.0011102887 0.0025906735 0.018134715 0.0025906735 0.0001850481 0.0018504811 0.003515914 0.0007401924 0.0 0.0012953368 0.0025906735 0.005181347 0.0040710587 0.0007401924 0.008327165 0.0042561064 0.0055514434 0.0024056255 0.0020355294 0.001665433 0.0027757217 0.001665433 0.0040710587 0.0038860103 0.0012953368 0.0025906735 0.003515914 0.0018504811 0.0012953368 0.00055514433 0.009992598 0.022205774 0.0040710587 0.010177646 0.058290154 0.005366395 0.013323464 0.009252406 0.004811251 0.0074019246 0.0007401924 0.0014803848 0.012028127 0.010362694 0.005181347 0.0072168764 0.02165063 0.01369356 0.019245004 0.020355292 0.01276832 0.010547742 0.010362694 0.016839378 0.001665433 0.0042561064 0.0024056255 0.003515914 0.0027757217 0.0027757217 0.0037009623 0.007031828 0.0012953368 0.034418948 0.004996299 0.015914138 0.023131015 0.07253886 0.01276832 0.012028127 0.019059956 0.029237602 0.00684678 0.0029607697 0.024611399 0.009252406 0.03626943 0.040525537 0.011472983 0.0012953368 0.034418948 0.024796447 0.055699483 0.020170243 0.003145818 0.0061065876 0.0055514434 0.0055514434 0.0011102887 0.0 0.0022205773 0.0018504811 0.0012953368 0.0001850481 5.694463 0.0 0.0 0.0 1.0 94208.0 102400.0 0.0 0.0 143.0 0.0 1.0 0.0 0.0 0.0 1098491000.0 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 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 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 5.5539126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2566218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7260985 0.0 2.6907146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69138.0 0.0 2096.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 75544.0 2096.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 604.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.041194662 0.007703993 0.006467014 0.007248264 0.00874566 0.0055230036 0.008534071 0.0060221353 0.008186849 0.005126953 0.0067274305 0.0052734376 0.00694987 0.0043023005 0.00546875 0.005642361 0.0077528213 0.0040690103 0.004551866 0.0039984807 0.0055230036 0.003841146 0.004546441 0.004090712 0.0060384115 0.0034342448 0.0044270833 0.0042914497 0.005598958 0.0032226562 0.004188368 0.003857422 0.007090929 0.0040418836 0.004253472 0.003982205 0.0048828125 0.0032063802 0.004340278 0.003927951 0.004909939 0.0031792535 0.00367296 0.004003906 0.0041015623 0.0034179688 0.0041775173 0.0035101997 0.0050835502 0.002875434 0.0034884983 0.0038791234 0.0042263456 0.0029893664 0.0040527345 0.0034071181 0.0047200522 0.0039333766 0.003531901 0.004421658 0.0046495227 0.0031955296 0.004736328 0.0034016927 0.005734592 0.0042588976 0.004003906 0.004188368 0.0040093316 0.004112413 0.0044921874 0.0034233942 0.0048394096 0.0031141492 0.003249783 0.0029568141 0.0035807292 0.0036132813 0.0039605033 0.0034288194 0.005593533 0.0032769097 0.0035210503 0.004253472 0.0037000868 0.002983941 0.004736328 0.0041937935 0.004079861 0.0036621094 0.0032226562 0.002875434 0.003830295 0.0032986111 0.0036132813 0.0034450954 0.004530165 0.003857422 0.0026801215 0.0026584202 0.0039116754 0.0035807292 0.0034667968 0.002718099 0.004437934 0.003781467 0.004199219 0.0026746963 0.003993056 0.0030381945 0.0035373264 0.0032931857 0.00492079 0.00234375 0.0039442275 0.0033582898 0.006613498 0.00562066 0.0040093316 0.0034830729 0.003846571 0.0031195746 0.0025119358 0.002625868 0.003748915 0.0035753038 0.0036024305 0.0033637153 0.006092665 0.0043023005 0.0034559462 0.00578342 0.0042100693 0.0038519965 0.0037000868 0.002842882 0.004123264 0.0046332465 0.0037055123 0.0060546873 0.004551866 0.004844835 0.0030381945 0.002018229 0.0037760416 0.0024739583 0.0026909723 0.0023328993 0.0026963975 0.0024956597 0.0026584202 0.0022569445 0.0029893664 0.002625868 0.0026909723 0.0020507812 0.002783203 0.0024685329 0.0034667968 0.0023220486 0.003515625 0.0025770399 0.0022949218 0.0021484375 0.0031955296 0.0025987413 0.0027398004 0.0023057726 0.0034125433 0.0023546007 0.0060275607 0.0022243923 0.0032931857 0.0025010852 0.0029025609 0.0021430121 0.0038953994 0.0022298177 0.0025227864 0.0023111978 0.0031955296 0.0027723524 0.003059896 0.0027615018 0.004166667 0.0024359808 0.0028483074 0.0028049045 0.0033420138 0.0024197048 0.0032606337 0.0028320313 0.0056911893 0.0046223956 0.0042100693 0.0033311632 0.0031738281 0.002094184 0.0037434895 0.0031304252 0.0040093316 0.0029025609 0.0038194444 0.0022569445 0.0035373264 0.0022081162 0.0027398004 0.0029785156 0.0042426214 0.0026150174 0.0033962673 0.0027235243 0.0029947916 0.0017795139 0.003217231 0.0024848091 0.004047309 0.002718099 0.0033365886 0.0029296875 0.0035861544 0.0027723524 0.003092448 0.0028862846 0.0048502604 0.0031738281 0.0025987413 0.002012804 0.0037055123 0.0018391927 0.0025661893 0.0024739583 0.0037868924 0.002327474 0.0024468317 0.0060275607 0.0034396702 0.0025499132 0.0028211805 0.0030815972 0.0056369356 0.0024576823 0.0022786458 0.0023111978 0.0034288194 0.0018771702 0.0034233942 0.003233507 0.0047092014 0.0022406685 0.0024088542 0.0030381945 0.0036078559 0.0022677951 0.0033582898 0.015527343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013600951 0.00074742496 0.00087563286 0.0004964647 0.00052647083 0.00033279505 0.00048009778 0.00041462987 0.0011456879 0.00038189595 0.00046918646 0.00039553508 0.00059193873 0.00045827514 0.0005510213 0.0008783607 0.013281795 0.0014512046 0.002555975 0.002476868 0.00092473376 0.00058375526 0.00295151 0.0018794737 0.0012411618 0.00041462987 0.001715804 0.00027551065 0.0012793514 0.0005455656 0.00025641586 0.0016857978 0.013036291 0.0013611863 0.0013229967 0.0017703605 0.00066286227 0.00048555344 0.000698324 0.0007337858 0.0010911312 0.0007092353 0.0033497731 0.00068195706 0.0020131373 0.00114296 0.0007583362 0.0037016629 0.0023513879 0.0002809663 0.00018549232 0.0002018593 0.00024823236 0.00043099685 0.00020458712 0.00018822015 0.00032188374 0.00011184096 0.0001445749 0.00013911923 0.00022913757 0.000120024444 0.00019094798 0.00023732106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004653675 0.003049712 0.00222318 0.0014948499 0.0013039019 0.0011511435 0.00084017107 0.000889272 0.00081016496 0.00053738215 0.0006574066 0.0008047093 0.0006246727 0.00068195706 0.0006928684 0.0019313024 0.089622796 0.066899985 0.059731256 0.056280553 0.05934663 0.057360772 0.05094492 0.056640625 0.06290372 0.0408465 0.040025424 0.044793665 0.049992908 0.046113934 0.047496945 0.05368093 1255.0 7.0573707 8857.0 0.026871402 0.0065484927 0.013209891 0.012645366 0.008129164 0.007000113 0.01591961 0.018629333 0.01591961 0.007225923 0.008354973 0.006322683 0.008242069 0.009258213 0.0137744155 0.014113131 0.01208084 0.009032404 0.009258213 0.01298408 0.01140341 0.007113018 0.0125324605 0.010500169 0.014677656 0.01140341 0.008693689 0.008129164 0.011177599 0.0075646383 0.038613524 0.01140341 0.013209891 0.0106130745 0.009032404 0.01208084 0.011742125 0.014113131 0.008806594 0.0080162585 0.0118550295 0.009258213 0.006661398 0.004854917 0.009709834 0.007225923 0.008806594 0.007790448 0.012645366 0.008467878 0.009484024 0.010838885 0.009258213 0.004854917 0.010161454 0.011064694 0.009371119 0.006774303 0.005532347 0.0064355875 0.011967935 0.004742012 0.008242069 0.007677543 0.010274359 0.014790561 0.007338828 0.01072598 0.011967935 0.016484138 0.009032404 0.007113018 0.010161454 0.01275827 0.008580783 0.004742012 0.015693802 0.009822739 0.011290505 0.01208084 0.013209891 0.004967822 0.015355086 0.013548606 0.021226149 0.01298408 0.009484024 0.0064355875 0.009258213 0.009032404 0.004742012 0.004854917 0.007113018 0.0046291067 0.0058710626 0.004403297 6.4621 0.0 0.0 0.0 3.0 184320.0 442368.0 0.0 0.0 12.0 1.0 1.0 0.0 0.0 0.0 1312923300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 167936.0 4096.0 4096.0 3.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.921843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5665674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -167936.0 0.0 0.0 0.0 0.0 0.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20050.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 304624.0 724.0 437428.0 15540.0 421888.0 0.0 0.0 7040.0 732256.0 16.0 438152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 420644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056715548 0.008298067 0.006171739 0.005657773 0.0057520694 0.004961432 0.004201881 0.005424623 0.005047438 0.0056318673 0.0037490518 0.004466118 0.0049593593 0.0031780933 0.004323119 0.004641239 0.005045366 0.003767704 0.004939671 0.0041583595 0.0043531694 0.0031729124 0.00410344 0.0038443843 0.005071271 0.003353215 0.0031635864 0.0029356175 0.0041531785 0.0034350764 0.0037977544 0.0037925732 0.0061675943 0.0038153701 0.0034765254 0.0030236964 0.004897186 0.0041625043 0.003843348 0.0037241825 0.004726209 0.0038930867 0.0033283457 0.0030983044 0.0043728575 0.0037272912 0.0037231464 0.00358222 0.0055189193 0.0039438615 0.0031086665 0.002900386 0.0036734077 0.003065145 0.002685888 0.0028661906 0.004166649 0.00331073 0.0035221193 0.003358396 0.004012252 0.003218506 0.0035086484 0.0034589097 0.006603844 0.003945934 0.0036195242 0.003222651 0.0041573234 0.003222651 0.0035449162 0.0030755075 0.0050018444 0.0037708124 0.0036962046 0.0035905098 0.004124164 0.003120065 0.003562532 0.0034620182 0.005162459 0.00362885 0.0036495745 0.0033449251 0.0039334996 0.0033749756 0.0033635772 0.0035355901 0.004644348 0.0036412848 0.0038039717 0.003502431 0.0041096574 0.0033853378 0.0036837698 0.003791537 0.0059116473 0.0036215966 0.0033428527 0.0029542695 0.00401018 0.0030506381 0.0032609913 0.003026805 0.0049749026 0.003161514 0.0031977817 0.003045457 0.0035708216 0.0028278504 0.0030817247 0.0031884557 0.004513784 0.0032951864 0.003222651 0.003138717 0.003895159 0.0033355993 0.003293114 0.003632995 0.0046308767 0.0032941503 0.0034899963 0.0031677312 0.004034013 0.0031977817 0.0034723806 0.0033407803 0.008645202 0.0045925365 0.0040081074 0.0035252278 0.004361459 0.0034350764 0.0030195515 0.0033894829 0.0045438344 0.0038298771 0.0029553056 0.0031884557 0.0037324722 0.0027926187 0.002849611 0.0029853561 0.005228777 0.003213325 0.003498286 0.00302266 0.0036640817 0.0031832745 0.0033055488 0.0032651362 0.0045459066 0.0028351038 0.0030423484 0.0027055761 0.0035190105 0.0032309408 0.0029832837 0.003152188 0.005014279 0.0034070986 0.003269281 0.002802981 0.0037759936 0.003008153 0.0030630727 0.003185347 0.004136599 0.0030008995 0.0031221374 0.003012298 0.0036454296 0.00283614 0.0029190378 0.0030330224 0.004663 0.0031128114 0.0038402395 0.0028558283 0.003563568 0.0031501155 0.0029843198 0.0031148838 0.0042505832 0.003148043 0.003343889 0.0031822384 0.003646466 0.0031894918 0.0033324906 0.0033490702 0.006720937 0.0040661357 0.0037231464 0.0033355993 0.0041252007 0.0032537377 0.0033096937 0.003226796 0.0043293363 0.0033335267 0.0031097028 0.0030858696 0.003646466 0.0029822474 0.0030755075 0.0027967638 0.004252656 0.0032754983 0.0030951956 0.0029967546 0.0037148565 0.003026805 0.0029345811 0.0029418347 0.0039801295 0.0031024492 0.0027231919 0.0026361493 0.0035314453 0.0029439072 0.0035832564 0.00288277 0.0049603954 0.0032319769 0.0034039898 0.0029749938 0.0038029354 0.0030723987 0.0031936367 0.0029117842 0.004443321 0.0054588183 0.0034640909 0.0031283547 0.0037925732 0.003086906 0.0032475204 0.003194673 0.004613261 0.003315911 0.003422642 0.0030371672 0.0037386897 0.003087942 0.0033190197 0.0032444117 0.0043521333 0.003041312 0.0031926006 0.0028630819 0.004014325 0.003092087 0.0042226054 0.0045179287 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922487 0.062030397 0.06244344 0.05531692 0.06058112 0.059545923 0.054897133 0.054497067 0.060457624 0.053168174 0.052132975 0.052948162 0.056429952 0.050549302 0.056672797 0.053843774 4029.0 5.701911 22973.0 0.017150568 0.010490576 0.009315283 0.008575284 0.013494101 0.012449397 0.011752928 0.011491751 0.012492927 0.009794106 0.008444696 0.008662343 0.013842337 0.010534105 0.011839986 0.010055282 0.016802333 0.011839986 0.008749401 0.0075305793 0.009837636 0.008444696 0.007878814 0.008357638 0.010229399 0.008444696 0.0096199885 0.00883646 0.0115788095 0.0089670485 0.009707048 0.009228225 0.018064685 0.01088234 0.010359988 0.009054107 0.010925869 0.008879989 0.010664693 0.008314108 0.0142341005 0.0115788095 0.009707048 0.0089235185 0.011448222 0.009315283 0.011752928 0.009663518 0.014756453 0.0096199885 0.009924694 0.009184695 0.012101162 0.009315283 0.00953293 0.009837636 0.013711749 0.009228225 0.010534105 0.00953293 0.011099987 0.009837636 0.010359988 0.010664693 0.017890567 0.010969399 0.009707048 0.008183519 0.013058808 0.008227049 0.009358812 0.008314108 0.015409393 0.009271754 0.008879989 0.008662343 0.011317634 0.007965873 0.009881165 0.007835285 0.013145867 0.008009402 0.008749401 0.008792931 0.01153528 0.009445871 0.008401167 0.007922344 0.011012929 0.008792931 0.012057633 0.008575284 0.011317634 0.009141166 0.009924694 0.008792931 6.5546846 0.0 0.0 0.0 14.0 965044.0 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