Input: 0.58939034 0.0026855469 0.0017089844 0.001499721 0.0016741072 0.0009416853 0.0011858259 0.00080217636 0.0027553013 0.0009765625 0.00048828125 0.0008719308 0.002232143 0.0007672991 0.0008370536 0.0017438616 0.0061383927 0.0013602121 0.0011160715 0.0007324219 0.0012904576 0.0008719308 0.0007672991 0.00027901787 0.0020926339 0.0007324219 0.000906808 0.0009765625 0.0013602121 0.000906808 0.000906808 0.00052315847 0.0016043527 0.0010114397 0.0011160715 0.00059291295 0.0014648438 0.0010811941 0.00069754466 0.00055803574 0.0012207031 0.000906808 0.0007672991 0.00069754466 0.000906808 0.0013253348 0.0010114397 0.0009416853 0.003941127 0.005126953 0.0024762836 0.0021275112 0.0013602121 0.00048828125 0.018310547 0.0011160715 0.0012207031 0.0010811941 0.0007672991 0.00048828125 0.0012207031 0.0010114397 0.0009416853 0.0010811941 0.00163923 0.0013950893 0.0017787388 0.0017438616 0.0017787388 0.0014299665 0.0009765625 0.0013950893 0.001813616 0.0017438616 0.0011160715 0.0007324219 0.0007324219 0.0015345982 0.00226702 0.0009416853 0.001953125 0.0012904576 0.0018833706 0.002232143 0.0010811941 0.0007672991 0.00062779017 0.00059291295 0.0009765625 0.0021972656 0.000453404 0.0006626674 0.0019182478 0.011474609 0.0009765625 0.0013253348 0.01841518 0.002546038 0.0011858259 0.0014648438 0.0031040737 0.0048828125 0.002232143 0.0013602121 0.0013950893 0.001499721 0.00062779017 0.0007324219 0.0032087055 0.0011858259 0.002859933 0.013288225 0.0013602121 0.00052315847 0.0043247766 0.0020926339 0.004080636 0.0023716518 0.0015345982 0.00048828125 0.0016043527 0.0020577568 0.0007672991 0.0018833706 0.00069754466 0.0009416853 0.00069754466 0.0006626674 0.0011160715 0.0006626674 0.0010811941 0.0010811941 0.0017089844 0.0010811941 0.00059291295 0.0011160715 0.00163923 0.0010463169 0.0004185268 0.0011858259 0.0010463169 0.0007672991 0.000453404 0.000453404 0.001953125 0.0010811941 0.00031389509 0.00031389509 0.00080217636 0.0007672991 0.00059291295 0.0007672991 0.0012555803 0.000906808 0.0007672991 0.0010463169 0.0010114397 0.00080217636 0.0010811941 0.00059291295 0.0011858259 0.00080217636 0.0024762836 0.0009416853 0.0010114397 0.0007672991 0.012172154 0.0013950893 0.0011858259 0.0011858259 0.0009416853 0.00062779017 0.0011858259 0.0008370536 0.0009416853 0.00048828125 0.0013602121 0.00048828125 0.0006626674 0.000453404 0.00048828125 0.0014299665 0.00080217636 0.00031389509 0.0010114397 0.000453404 0.00027901787 0.0006626674 0.0009416853 0.0008719308 0.00069754466 0.00024414062 0.0010114397 0.0007324219 0.0006626674 0.00080217636 0.0011509487 0.00048828125 0.00027901787 0.00048828125 0.0013253348 0.00052315847 0.0004185268 0.000453404 0.00069754466 0.017613003 0.0010811941 0.00027901787 0.0015694754 0.00031389509 0.0008370536 0.00034877233 0.001499721 0.000453404 0.0013602121 0.000453404 0.0011160715 0.00048828125 0.00031389509 0.00031389509 0.0007324219 0.00059291295 0.0012555803 0.00027901787 0.0017438616 0.00024414062 0.0010114397 0.00027901787 0.0021275112 0.0008370536 0.0008370536 0.00027901787 0.0012555803 0.000453404 0.0007324219 0.00052315847 0.0013253348 0.0008370536 0.0009765625 0.00069754466 0.012765067 0.001813616 0.0008370536 0.0006626674 0.001499721 0.0010463169 0.0010463169 0.00048828125 0.0012904576 0.0007672991 0.00027901787 0.00034877233 0.0019182478 0.00069754466 0.0009416853 0.020996094 0.37026188 3.616898e-05 0.0 0.0 3.616898e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.616898e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.032895688 0.00030743633 0.0003978588 7.233796e-05 0.0005787037 0.00014467593 0.0007233796 0.0003616898 0.0003616898 0.0003797743 7.233796e-05 0.00032552084 0.00014467593 5.4253473e-05 0.00012659143 9.042245e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05369285 0.002803096 0.0005606192 0.0011574074 0.0031105324 0.0013925058 0.0057327836 0.0033275464 0.00021701389 0.00028935185 0.00016276042 0.00012659143 0.0001808449 0.00016276042 0.00016276042 0.000994647 0.049877025 0.0009765625 0.0009765625 0.013093172 0.0007233796 0.00086805556 0.0009765625 0.0006510417 0.00068721065 0.00050636573 0.00050636573 0.0007233796 0.00086805556 0.0010127315 0.0007595486 0.00086805556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024305556 0.001175492 0.00086805556 0.008463542 0.0007957176 0.0025137442 0.009783709 0.001066985 0.0011031539 0.0008499711 0.0023328993 0.0009042245 0.008373119 0.0005967882 0.0007776331 0.010163484 0.012731481 0.0005787037 0.0003616898 0.00028935185 0.0036711516 0.00213397 0.009241175 0.0056604454 0.00030743633 0.00030743633 0.00028935185 0.00025318286 0.00016276042 0.0001989294 0.0001989294 0.0006510417 0.03459563 0.004050926 0.001989294 0.0018265336 0.004756221 0.0035445602 0.0059497976 0.003870081 0.0015914352 0.00094039354 0.0021158855 0.0011031539 0.0011574074 0.0013744213 0.0015552662 0.0036530672 0.0005606192 0.00054253475 0.0005787037 0.006637008 0.00066912617 0.0014286748 0.007233796 0.0007052951 0.00043402778 0.00074146414 0.0020978008 0.00045211226 0.006112558 0.0007052951 0.00081380206 0.0073242188 0.0022063078 0.00030743633 0.0007595486 0.0033817997 0.0003797743 0.004484954 0.0073603876 0.0007595486 0.00054253475 0.00043402778 0.0044307 0.00048828125 0.0032009548 0.00068721065 0.00047019677 0.007143374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019151475 0.010651765 0.009602864 0.009349681 0.0085720485 0.014883536 0.014485677 0.010290075 0.010416667 0.009747541 0.017107928 0.0068721063 0.00869864 0.0075231483 0.0096571185 0.018174913 105.0 14.609524 1534.0 0.006518905 0.0013037809 0.0013037809 0.0 0.0032594525 0.0 0.00065189047 0.00065189047 0.0032594525 0.0013037809 0.0013037809 0.0 0.0019556715 0.00065189047 0.007822686 0.00065189047 0.012385919 0.031942632 0.0104302475 0.009778357 0.012385919 0.00065189047 0.0052151238 0.0045632333 0.005867014 0.0052151238 0.0032594525 0.0045632333 0.005867014 0.0019556715 0.0013037809 0.0045632333 0.0019556715 0.003911343 0.01303781 0.018252933 0.011082138 0.003911343 0.0019556715 0.0032594525 0.0032594525 0.011082138 0.0 0.0019556715 0.003911343 0.003911343 0.021512385 0.0052151238 0.012385919 0.0026075619 0.012385919 0.02672751 0.0052151238 0.008474576 0.00065189047 0.00065189047 0.0026075619 0.0026075619 0.0013037809 0.0013037809 0.0045632333 0.003911343 0.0013037809 0.014341591 0.0032594525 0.037809648 0.015645372 0.015645372 0.04041721 0.075619295 0.02672751 0.011082138 0.009126467 0.023468057 0.0032594525 0.0045632333 0.045632333 0.014993481 0.03911343 0.033898305 0.011082138 0.00065189047 0.07301173 0.021512385 0.05410691 0.028683182 0.009778357 0.0032594525 0.01303781 0.0136897005 0.0026075619 0.003911343 0.0013037809 0.0 0.0013037809 0.0019556715 5.596795 0.0 0.0 0.0 1.0 28672.0 61440.0 0.0 5.0 46.0 1.0 0.0 0.0 0.0 0.0 1115750400.0 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 -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 12288.0 4096.0 4096.0 5.0 1.0 0.0 2.0 4.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6931716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2954755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.3159224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8597 0.0 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 2816.0 0.0 0.0 0.0 0.0 32232.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8864.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 19008.0 80.0 17600.0 0.0 0.0 0.0 0.0 0.0 0.0 236.0 25072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.024287757 0.00843787 0.006950948 0.0062475353 0.007608151 0.0057351226 0.0066161854 0.005467107 0.0079223765 0.0053510694 0.00556158 0.0052247634 0.0070423405 0.0050707315 0.0055595264 0.0051980647 0.007928537 0.005426032 0.004849952 0.0049105384 0.005853214 0.0046959203 0.004599394 0.004708243 0.006055509 0.0045603723 0.004197884 0.0044320123 0.004931076 0.0037440031 0.0034246435 0.0054907254 0.007866925 0.0059240684 0.0044042864 0.0042502545 0.0055215317 0.004727754 0.004219448 0.003909331 0.0045696143 0.0045665335 0.0036741751 0.0036608258 0.004642523 0.0041835075 0.0038076695 0.0035971592 0.0055656875 0.003666987 0.0037624869 0.0030426444 0.0045768023 0.0036464494 0.003394864 0.003480095 0.0038867393 0.0035057669 0.0028341876 0.0034564768 0.0042369054 0.003019026 0.0025877366 0.0047719097 0.006959163 0.0053510694 0.0051867687 0.0044463887 0.0043591037 0.0044053136 0.0037306536 0.0037070354 0.0057772244 0.004265658 0.0039955885 0.0037162772 0.0045655067 0.0044227703 0.0030323754 0.0032603426 0.0053757145 0.003709089 0.003736815 0.0037255192 0.0039113844 0.0037234654 0.0033589231 0.0032541815 0.0047513717 0.0027397147 0.0033034717 0.0032264558 0.004197884 0.0032808804 0.0024953175 0.00464663 0.0054434887 0.004266685 0.0032172138 0.0031309559 0.004163997 0.0033229825 0.0029276337 0.0028259726 0.004077739 0.0044135284 0.003061128 0.003316821 0.0040079113 0.003495498 0.0027160966 0.0031063107 0.004809904 0.00303751 0.003632073 0.0027664136 0.004176319 0.004232798 0.0027694942 0.0029964347 0.0032305631 0.0029060692 0.0018422221 0.0025764408 0.0037481105 0.0029697358 0.0023361512 0.0050142533 0.0067106583 0.0050050113 0.0043909373 0.0042810612 0.0051641776 0.0044289315 0.0034821487 0.0034605842 0.004733915 0.0046014474 0.003369192 0.0041311365 0.003949379 0.004025368 0.002636 0.0028300802 0.007054663 0.0035447883 0.0038846855 0.002993354 0.0035971592 0.0033311974 0.00290915 0.0031340364 0.0034441543 0.0030837194 0.0026893977 0.0025168818 0.0032469933 0.002481968 0.0024183015 0.0043775877 0.004750345 0.0037419493 0.0025713064 0.0028834778 0.004423797 0.0035560841 0.0029604938 0.0029307143 0.0035971592 0.003044698 0.0021276944 0.0027510105 0.0038600403 0.0031484128 0.0023690113 0.0024429467 0.0052966448 0.0033116867 0.0023248554 0.0023423124 0.003897008 0.003122741 0.0028588327 0.0031104183 0.00422869 0.003292176 0.0029697358 0.002636 0.003420536 0.0025292044 0.0023145867 0.0042748996 0.006217756 0.004248201 0.0039925077 0.00360024 0.0042060986 0.0026308654 0.003249047 0.0029625476 0.0048222267 0.0035838098 0.002030141 0.0025394734 0.0030179992 0.0023073985 0.0017261846 0.002611355 0.004761641 0.0029820583 0.0033476276 0.0028167306 0.003495498 0.0023433391 0.002601086 0.0026185429 0.0041527012 0.0028290532 0.002762306 0.0029902733 0.0035827828 0.0025713064 0.0024378123 0.004416609 0.0053336127 0.0031093915 0.002268377 0.002429597 0.0046538184 0.002182119 0.0016727869 0.0025292044 0.0035417078 0.0025856828 0.00181655 0.0045172432 0.0039000888 0.0025990324 0.0019644208 0.0026781019 0.0048756246 0.0024552692 0.0022077912 0.0020568399 0.0034749606 0.0019736625 0.0021749309 0.002950225 0.00392268 0.0022139524 0.0017559641 0.0023002103 0.002994381 0.0019397755 0.001850437 0.01141274 0.0010526315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00086348684 1.5419408e-06 6.6817433e-06 2.7240954e-05 3.495066e-05 7.709704e-06 7.452714e-05 2.9296874e-05 1.0279605e-06 5.1398024e-07 5.1398024e-07 5.1398024e-07 1.0279605e-06 5.1398024e-07 1.5419408e-06 1.5419408e-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 0.0007982114 1.2849507e-05 7.195724e-06 2.0559211e-05 8.789063e-05 4.9856084e-05 5.653783e-06 7.195724e-06 2.9810855e-05 4.111842e-06 7.709704e-06 3.597862e-06 2.055921e-06 5.653783e-06 4.6258224e-06 5.653783e-06 0.0014504523 3.5978617e-05 2.5699013e-05 2.7240954e-05 1.2335527e-05 1.2849507e-05 1.5933389e-05 2.6212994e-05 2.4671053e-05 2.1587171e-05 8.891858e-05 3.752056e-05 3.1866777e-05 2.5699013e-05 3.752056e-05 0.00023077714 0.0006851357 1.4391448e-05 1.0793586e-05 1.4391448e-05 8.223684e-06 1.0279606e-05 7.709704e-06 8.737665e-06 8.737665e-06 1.2849507e-05 2.5699013e-05 2.3129112e-05 4.009046e-05 8.223684e-06 2.5185032e-05 0.00014905428 0.0016812294 5.448191e-05 0.0001094778 0.00011307566 8.686267e-05 4.8828126e-05 0.00027652137 0.00016961349 4.214638e-05 3.957648e-05 5.756579e-05 5.653783e-05 6.270559e-05 4.214638e-05 4.6772206e-05 0.00027035363 0.0034040913 0.0001665296 0.00010999178 0.000107421874 0.00017783717 0.00013620478 9.4058385e-05 0.00011872944 0.00014545642 0.00015984786 0.0003330592 0.00033665707 0.00017578126 0.00016293174 0.00017629523 0.001563528 0.004219778 0.00031095807 0.00018451891 0.00019582648 0.00020353618 0.00016807155 0.0001742393 0.00027395147 0.00038188734 0.0006147204 0.000442537 0.0004893092 0.0003253495 0.00027446545 0.00036030015 0.0019068668 0.0022152548 0.00019479851 0.000108449836 0.00010228207 9.611431e-05 0.00013209293 0.00012027138 0.00021587171 0.0002503084 0.00043020147 0.00030530427 0.00021432978 0.00019377055 0.00015162418 0.00015779195 0.00037469162 0.00028834294 3.1866777e-05 7.606908e-05 6.167763e-05 2.8268914e-05 1.1307566e-05 0.00017835115 0.0001146176 2.3129112e-05 2.1587171e-05 3.1352796e-05 2.210115e-05 2.2615131e-05 2.4671053e-05 1.5933389e-05 0.00010074013 0.0002708676 5.0370065e-05 7.504112e-05 3.0324836e-05 6.630345e-05 0.00011872944 3.5978617e-05 4.8314145e-05 5.859375e-05 6.681743e-05 1.7989309e-05 6.733141e-05 5.0370065e-05 1.4905428e-05 4.8828126e-05 3.1866777e-05 0.10072985 0.07900288 0.072857216 0.058781352 0.070427634 0.058766447 0.056550678 0.052070826 0.06628033 0.0533676 0.04989412 0.050706208 0.052876234 0.050047286 0.046936676 0.045967825 5481.0 5.9764643 32757.0 0.022560064 0.013920689 0.01279116 0.010287877 0.014439662 0.012058491 0.010013127 0.010715267 0.011844796 0.010684739 0.010654211 0.008395152 0.01221113 0.011203712 0.011692157 0.010165766 0.014775468 0.009555209 0.0093720425 0.00815093 0.011539518 0.00982996 0.00912782 0.009310987 0.011295295 0.008761486 0.00631926 0.0074793175 0.0112647675 0.007235095 0.0061971485 0.011600574 0.018377751 0.01544708 0.013004854 0.012882743 0.011722685 0.012058491 0.009005709 0.009799432 0.016057637 0.010990017 0.00940257 0.008944653 0.012058491 0.010593155 0.008547791 0.009494154 0.015294441 0.009280459 0.009555209 0.010287877 0.011356351 0.00940257 0.00815093 0.010013127 0.012821687 0.008120402 0.008456208 0.008211985 0.009677321 0.007418262 0.005220258 0.013004854 0.0153860245 0.01193638 0.008517263 0.009249931 0.011600574 0.01193638 0.0067466497 0.008273041 0.010928961 0.0140428 0.0060445094 0.0088530695 0.012852215 0.009494154 0.009616265 0.01010471 0.0143480785 0.0072961506 0.011631101 0.009768904 0.014775468 0.013157493 0.006685594 0.007815124 0.008608847 0.008059346 0.004029673 0.006349788 0.008669903 0.006532955 0.0053728973 0.011203712 6.5304165 0.0 0.0 0.0 14.0 973824.0 3571712.0 0.0 0.0 10.0 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 -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 1.0 0.0 2.0 71.0 4.0 0.0 4.0 0.0 942080.0 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 -940544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9173956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.864128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -942080.0 0.0 0.0 0.0 0.0 0.0 2514944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 640.0 3490800.0 29680.0 3461120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3459488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.03875542 0.009970344 0.002553448 0.0023736279 0.0027706157 0.0020914483 0.0012947061 0.0017885203 0.0026834721 0.0014330294 0.0010346583 0.0017594724 0.0022698853 0.0026129272 0.001038808 0.0017857538 0.0046850103 0.0022366878 0.0020444184 0.0022131728 0.0031980346 0.0026986876 0.0016225323 0.0018355502 0.0021689094 0.0021163465 0.0016308317 0.0021536937 0.0020748496 0.0023791608 0.001549221 0.0016239155 0.0020789993 0.0025562146 0.0033308251 0.001982173 0.0024718374 0.0025188674 0.0087572485 0.0014966581 0.0034470167 0.025026836 0.004891112 0.0026793224 0.0030389628 0.0031980346 0.0033308251 0.0020458016 0.012388235 0.0016640293 0.018195046 0.0030721605 0.0011301014 0.0014952748 0.016879592 0.0013389696 0.014093761 0.012220863 0.0018853466 0.0030071486 0.0038868848 0.002131562 0.003870286 0.0020292029 0.0047666207 0.005918854 0.0019323765 0.0024331068 0.02878093 0.0074583925 0.00340137 0.0026848554 0.004986555 0.0030431126 0.0011646822 0.002801047 0.0035230943 0.0030182144 0.0014081312 0.0016225323 0.0045453035 0.0034401005 0.0027208193 0.0053378963 0.0024607715 0.001964191 0.002474604 0.002315532 0.0014952748 0.0020762328 0.0015229395 0.0019323765 0.0030389628 0.0024607715 0.0020084544 0.0017235084 0.0027595498 0.0035825735 0.0015077239 0.0021924244 0.0025852625 0.0033750886 0.0014994246 0.0015755023 0.0031703701 0.002658574 0.0016778617 0.0020084544 0.0062038 0.0016100833 0.0015063407 0.001603167 0.0017663885 0.0015063407 0.0031371724 0.0021287955 0.003377855 0.0032782622 0.0013583348 0.0015644365 0.0025562146 0.005907788 0.0022781848 0.004366867 0.0063130753 0.0018009694 0.0027941307 0.0023971428 0.0017165921 0.0015865683 0.0033197592 0.0027968972 0.0012255445 0.002600478 0.0010913708 0.0011674487 0.0028065797 0.0036904656 0.0013624845 0.00799647 0.0011467001 0.0027816815 0.0008354727 0.00097517925 0.0014883587 0.0032658132 0.0013942989 0.002279568 0.0024469392 0.0014523946 0.0010222092 0.0013071552 0.0009779457 0.0013016223 0.00095304754 0.0019752567 0.0016515802 0.001412281 0.0012615084 0.0033681723 0.010491822 0.0032754957 0.00882226 0.0019143944 0.0036890823 0.0015782688 0.006903716 0.0016847778 0.0048067346 0.0051926565 0.009257979 0.0048897285 0.0057749976 0.00165573 0.0038896513 0.0040459563 0.0034304177 0.0021038975 0.0019143944 0.002463538 0.005200956 0.0020347356 0.004820567 0.0027512505 0.0043226033 0.00358534 0.0067709256 0.057495464 0.0026793224 0.002392993 0.0036254537 0.0026309092 0.002469071 0.005952052 0.0020582506 0.0029891664 0.001246293 0.0020264364 0.0022602028 0.0022339213 0.0012960894 0.0021979571 0.0009917781 0.0016667958 0.0069894763 0.0016169994 0.0021675262 0.0020361189 0.0033986035 0.0028868073 0.0023003165 0.0024303403 0.002315532 0.0035936392 0.023581356 0.0051981895 0.0033017772 0.0024123583 0.0011135025 0.002018137 0.001282257 0.0023514961 0.0034331842 0.0012670414 0.0020859153 0.0017594724 0.00094613136 0.001787137 0.0018825801 0.0019545082 0.0037527112 0.0018728975 0.005532932 0.0031662204 0.0015035743 0.0034885136 0.002647508 0.0028204122 0.004744489 0.002189658 0.0018355502 0.0021924244 0.011005002 0.015384317 0.0024524722 0.0030624778 0.014178138 0.020247765 0.0018590651 0.0042188605 0.0042534415 0.0016695622 0.00280243 0.0024151248 0.006833171 0.018522874 0.0028368793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.108156e-05 6.2333775e-06 1.0388962e-05 2.0777925e-06 9.696365e-06 6.925975e-06 1.108156e-05 9.003767e-06 1.3159352e-05 9.003767e-06 4.5711437e-05 0.0012425199 4.155585e-06 1.2466755e-05 1.0388962e-05 1.4544548e-05 0.002321587 3.878546e-05 2.77039e-05 8.31117e-06 1.108156e-05 1.385195e-05 2.9089097e-05 5.3330008e-05 3.116689e-05 4.9174425e-05 2.3548315e-05 9.003767e-06 5.54078e-06 9.696365e-06 1.0388962e-05 0.0001946199 0.013126801 0.00020847186 0.00016276042 0.00026734264 9.419326e-05 8.726729e-05 0.00019946808 0.00014406028 0.00021539783 0.0003310616 0.00021193484 0.0015493407 9.5578456e-05 0.00013644171 0.00012051197 0.0014890847 0.001115082 0.00022578679 6.8567155e-05 4.3633645e-05 0.00011427859 0.00011497119 5.263741e-05 8.934508e-05 6.0948583e-05 7.480053e-05 0.00022786458 0.004157663 0.00016068263 0.0003040503 7.4107935e-05 0.00020777926 0.0019621288 6.3026375e-05 5.9563386e-05 4.5711437e-05 8.172651e-05 4.2941047e-05 6.233378e-05 0.0001108156 4.155585e-05 5.4715205e-05 0.00013090092 0.0011310118 8.588209e-05 3.0474292e-05 5.6792996e-05 0.00029573913 0.00096063275 2.0777925e-06 3.878546e-05 0.0002784242 0.0026630375 0.0012903091 0.0019344249 0.0015327183 3.116689e-05 2.2855718e-05 0.00013159352 0.0008941434 3.324468e-05 2.9781693e-05 7.4107935e-05 1.1774157e-05 0.0027475343 0.00022994238 0.00015375664 0.00015306406 0.0006413453 0.0005125222 0.0014967032 0.0008047983 0.00020154587 0.00015929743 0.0006392675 0.004161126 0.00019115691 0.00020916446 0.00037192486 9.280807e-05 0.0024850399 0.00065450463 0.0019025654 0.001966977 0.0013263243 0.00086851727 0.0013796543 0.0010728335 0.00030058733 0.00017869016 0.00048620347 0.0037344857 0.00027011303 0.00017869016 0.00019115691 0.0014433733 0.004443013 0.010616135 0.0037441822 0.0022170045 0.0019662844 0.0019184952 0.0024213209 0.0020777925 0.0011656416 0.0011074634 0.0020507812 0.006436309 0.0014925477 0.001469692 0.0012639904 0.002417858 0.003615359 0.00062056736 0.0019378879 0.00658591 0.005301141 0.001899795 0.0016580784 0.0024511027 0.0015812002 0.0012986204 0.0049465313 0.010201962 0.001803524 0.0029525433 0.0020812554 0.009220551 0.026718335 0.0102040395 0.029019836 0.063928135 0.051685784 0.022094553 0.016431183 0.022060616 0.021266207 0.010957586 0.04212586 0.06104624 0.019736951 0.027950466 0.022070313 0.08461879 0.006902427 0.0074696643 0.028262135 0.018158522 0.008858322 0.0063061 0.007855441 0.010139627 0.00596465 0.0071441433 0.020413619 0.0055899546 0.010030197 0.023213098 0.009668661 0.007002161 0.005903009 0.0059224013 0.0075403093 0.005766567 0.006273548 0.006408605 0.005990276 0.006033217 0.006276319 0.006186974 0.0065457392 0.0082038175 0.006341423 0.0064709387 0.006187666 0.0060768505 8164.0 8.317614 67905.0 0.003711067 0.0047419188 0.0036079818 0.0064060083 0.0076724836 0.0046977396 0.020675944 0.0042412193 0.0070686988 0.085163094 0.018997129 0.007009793 0.013312716 0.007657757 0.011280465 0.004123408 0.013268537 0.006037847 0.016670348 0.0051837126 0.0030925558 0.0034312643 0.015639497 0.0045946543 0.030660482 0.039084014 0.002871659 0.006906708 0.014549739 0.004521022 0.01217878 0.008659156 0.023076357 0.02256093 0.008084824 0.012532214 0.08427951 0.026198365 0.011604448 0.011486636 0.020513954 0.009086223 0.003681614 0.013165452 0.006126206 0.008217363 0.0052426183 0.0063471026 0.0066710846 0.007009793 0.0073190485 0.0154627785 0.005168986 0.0050511747 0.0077313893 0.0065090936 0.005890582 0.0047419188 0.0063912817 0.004005596 0.004579928 0.005257345 0.0034754437 0.0072748694 0.0032987262 0.010117075 0.003843605 0.0064060083 0.0059494884 0.018363891 0.003873058 0.0073485016 0.004138134 0.011368824 0.0031072823 0.005330977 0.0070245196 0.007746116 0.008232089 0.0064354613 0.005419336 0.004329578 0.015816214 0.009675282 0.012664752 0.007260143 0.0044768425 0.005198439 0.004962816 0.011604448 0.0059200353 0.0057580443 0.005581327 0.003711067 0.0059053088 0.0066710846 6.02943 0.0 0.0 25.0 6.0 722944.0 1994752.0 1.0 192.0 188.0 0.0 1.0 0.0 0.0 0.0 1091599400.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13.0 32.0 9.0 10.0 5.0 1.0 4.0 0.0 119296.0 1024.0 4096.0 3.0 0.0 0.0 2.0 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 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -119296.0 0.0 598016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.040478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2209315 0.0 7.2320876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -119171.0 0.0 1859584.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 -2.0 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 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 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 -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 -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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 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 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 0.0 0.0 0.0 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 -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 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 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 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 1.0 1.0 1.0 0.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -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 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 -1.0 -1.0 1.0 -1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 3.0 3.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 1.0 1.0 2.0 1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 2.0 -3.0 0.0 1.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 1.0 1.0 0.0 3.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -3.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 2.0 0.0 1.0 1.0 0.0 1.0 -3.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 -2.0 0.0 1.0 2.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 9171.0 114096.0 200.0 109940.0 1336.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4896.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12232.0 196.0 600.0 788.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19611298 0.010916972 0.0055973227 0.0038999622 0.007275893 0.0038686455 0.0025282945 0.0030460625 0.009081818 0.0018894357 0.0022485328 0.0020773353 0.004639034 0.0017349403 0.0017161504 0.004104564 0.006770652 0.0015386896 0.0014802319 0.0013069466 0.0031650658 0.0018727335 0.0010668526 0.001210909 0.0023884138 0.0010063072 0.001081467 0.00096663943 0.0016785704 0.0010856426 0.0009833416 0.0008580752 0.0055534793 0.00091026956 0.0011983823 0.000730721 0.005490846 0.0019458055 0.0008497241 0.0009227962 0.0018059247 0.0010188338 0.00082467083 0.0016848338 0.001793398 0.0018936112 0.0014196865 0.0007286332 0.0049208836 0.0012547523 0.00129442 0.00794398 0.0017391159 0.00097290275 0.00075786206 0.00090191845 0.0022026019 0.0009290595 0.0012798056 0.0024802757 0.0018706457 0.0012965078 0.00071610656 0.0008852163 0.013150889 0.0048958305 0.0063656233 0.0075473036 0.0056620436 0.02208865 0.0032757176 0.001858119 0.002292376 0.0017161504 0.0012505767 0.0013716676 0.0021023885 0.0030168337 0.001599235 0.0017453792 0.008344834 0.0024802757 0.0026911409 0.0076537803 0.0033863697 0.008305166 0.0049334103 0.0034719685 0.0018226269 0.00504615 0.0027245453 0.0050148335 0.001248489 0.00323605 0.0041651097 0.0026953164 0.0011190469 0.0042882883 0.0013340877 0.0026013667 0.0078041 0.0076892725 0.0036577804 0.0017683448 0.0057205013 0.004133793 0.0040899497 0.0011106959 0.0042757615 0.0019938243 0.0049897805 0.0052382257 0.0030940813 0.00066808774 0.0051150466 0.0039354544 0.013992263 0.0067455983 0.0013946332 0.0013445265 0.0028247584 0.0016409905 0.0010021316 0.0014656174 0.0019645956 0.00192284 0.001747467 0.0011983823 0.0068666893 0.0017996613 0.0008559874 0.007971122 0.0038143634 0.0050879056 0.0010981692 0.0008914796 0.0022882004 0.010967078 0.0023633605 0.052353024 0.0011232225 0.007171504 0.00071610656 0.00091026956 0.0027955296 0.0006639122 0.0009582884 0.0009227962 0.0012025579 0.0010480627 0.0007683009 0.0007202821 0.0011983823 0.001377931 0.00097290275 0.0008831285 0.0010188338 0.00067643885 0.0007035799 0.0006555611 0.0014864953 0.0032026456 0.0006200689 0.0009624639 0.001895699 0.0010376237 0.0011608024 0.0016806582 0.0014823197 0.0006639122 0.0007432476 0.00065973663 0.0010438871 0.0006827022 0.0006409467 0.00065973663 0.0021337052 0.001081467 0.001876909 0.0010564137 0.0013111222 0.00093532284 0.00086016295 0.0011357492 0.0022777617 0.001774608 0.0021712852 0.0015595673 0.0011795925 0.000841373 0.0010104827 0.0008810407 0.011407598 0.0013257366 0.0018894357 0.012129968 0.0030460625 0.0008810407 0.0048144073 0.0025971911 0.0018455924 0.0017850469 0.0009603761 0.0010856426 0.0019458055 0.0008121442 0.0011420125 0.000989605 0.0027120188 0.0011566269 0.0026472977 0.0019583323 0.0017412037 0.000906094 0.0021149153 0.0015052852 0.005169329 0.0009582884 0.001534514 0.0022631472 0.0014217743 0.0007432476 0.0010480627 0.0008914796 0.0017203259 0.0008184075 0.0011879435 0.00094158616 0.0016430783 0.0012672789 0.00066599995 0.000730721 0.023667008 0.0028978307 0.0009833416 0.005334263 0.0042381817 0.0010125705 0.0010146582 0.00089565513 0.005778959 0.0009269717 0.0017098871 0.0012464012 0.0032485768 0.0007703887 0.0024719248 0.0016576927 0.0057288525 0.0013173855 0.002208865 0.0044031157 0.010056809 0.0035011973 0.005945981 0.05057842 0.03852602 1.5717207e-05 8.382511e-06 2.0956277e-06 6.286883e-06 0.0 1.1525953e-05 1.1525953e-05 3.1434415e-06 2.0956277e-06 6.286883e-06 6.286883e-06 5.239069e-06 2.0956277e-06 1.2573766e-05 7.334697e-06 0.0020128505 2.0956277e-06 3.0386602e-05 1.0478138e-06 4.1912554e-06 0.0 6.7060086e-05 2.8290973e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002015994 9.430325e-06 0.0 2.5147532e-05 2.724316e-05 0.0 0.0 2.0956277e-06 5.239069e-06 0.0 1.0478138e-06 1.886065e-05 2.0956277e-06 1.0478138e-05 2.0956277e-06 2.6195346e-05 0.005662386 7.963385e-05 5.8677575e-05 4.086474e-05 2.3051905e-05 2.724316e-05 5.762976e-05 8.5920736e-05 1.9908462e-05 1.2573766e-05 1.2573766e-05 1.886065e-05 1.7812836e-05 4.1912554e-06 2.9338787e-05 0.000287101 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0049561593 4.4008182e-05 0.00022318435 5.0295064e-05 0.00010897264 5.448632e-05 0.00034996984 0.00019489338 6.391665e-05 0.0001058292 1.4669394e-05 9.954232e-05 2.3051905e-05 9.535106e-05 1.7812836e-05 3.562567e-05 0.0013391061 4.5055996e-05 1.886065e-05 2.4099718e-05 1.9908462e-05 0.0 6.286883e-06 3.6673486e-05 2.4099718e-05 0.0 1.362158e-05 1.5717207e-05 1.7812836e-05 4.1912554e-06 1.7812836e-05 0.00056267605 0.010744283 0.00021584965 0.0012112728 8.487292e-05 0.00044427306 0.00013307236 0.0037564125 0.002008659 6.182102e-05 1.0478138e-05 1.9908462e-05 1.886065e-05 4.610381e-05 8.382511e-06 2.0956277e-05 0.0005280982 0.007987485 0.00019489338 0.00014669394 0.00016974584 0.0021082014 0.00085815956 0.00600083 0.0029422613 0.00017917616 3.562567e-05 2.4099718e-05 0.00011525952 6.7060086e-05 8.172948e-05 5.0295064e-05 0.0004977116 0.0056058043 0.00020851496 0.0004998072 0.00017288928 0.0007690954 0.00039816927 0.0020296155 0.0010289532 0.0001823196 7.125134e-05 9.954232e-05 0.00021480184 0.00038978676 0.00012259423 8.068167e-05 0.0010017101 0.008767058 0.001058292 0.0005071419 0.00048828125 0.0017540404 0.0007271828 0.0032786096 0.0017414666 0.00033949167 0.00017184147 0.00016450677 0.00039607362 0.00041074303 0.0005804889 0.000574202 0.0004998072 0.025365477 0.0013359627 0.0013977836 0.0016136334 0.008268299 0.0018106223 0.007950812 0.0049215816 0.0023439596 0.00060773204 0.00059620605 0.00067164865 0.0011421171 0.0011295433 0.0008927374 0.002183644 0.016968297 0.0014271225 0.0012573766 0.0015476211 0.0052306866 0.001924834 0.004976068 0.0029841738 0.0024969403 0.0008560639 0.00070727436 0.0008120557 0.0014428396 0.0010541007 0.0010446704 0.0024801753 0.039087646 0.0045464644 0.0046177157 0.00494149 0.015954014 0.012060338 0.009212379 0.007592459 0.022556288 0.0021239186 0.0028657708 0.0038936762 0.008631891 0.0047958437 0.009195615 0.021744233 0.0822953 0.014145487 0.013512608 0.016958866 0.040039062 0.04393693 0.018889988 0.021202514 0.07300643 0.0072110547 0.0086989505 0.010442513 0.03124057 0.015586231 0.03179172 0.06674993 0.006827555 0.005217065 0.0053689983 0.0054350104 0.0054559666 0.005532457 0.005418245 0.0054339627 0.0053889067 0.005418245 0.005460158 0.005439202 0.005391002 0.0054014805 0.005469588 0.00532499 3457.0 10.080706 34849.0 0.01581107 0.0009182473 0.000631295 0.00083216163 0.0035869034 0.0012338948 0.0005165141 0.00083216163 0.0013773709 0.00083216163 0.0011191139 0.0011765043 0.0018938851 0.00252518 0.004160808 0.0010330282 0.0032999513 0.002496485 0.004533846 0.004505151 0.0013199805 0.00097563775 0.00074607594 0.0017217137 0.0023817038 0.0014921519 0.0020660565 0.0031851702 0.0023817038 0.0018938851 0.0006025998 0.00086085685 0.002869523 0.012109386 0.013658929 0.019713622 0.012453729 0.011879824 0.009612901 0.006025998 0.006886855 0.009928549 0.00077477115 0.002496485 0.0072311973 0.012252863 0.0048207985 0.011592872 0.009698987 0.0051077507 0.0076329308 0.021205774 0.021377945 0.0072025023 0.003931246 0.007948578 0.0018651899 0.0077477116 0.0028121322 0.0072598928 0.0020660565 0.00631295 0.0072598928 0.009727682 0.0006025998 0.043157622 0.008436397 0.024333553 0.02393182 0.08625785 0.0062268646 0.014605871 0.015610204 0.041923728 0.0030703894 0.006944245 0.03624207 0.016758014 0.05279922 0.055295706 0.0152945565 0.0010330282 0.049384486 0.031650838 0.06949984 0.017504089 0.0067146835 0.0064851213 0.006571207 0.00817814 0.0020373613 0.0005165141 0.0009182473 0.00043042842 0.00057390454 0.0006025998 5.5473137 1.0 1.0 0.0 5.0 478979.0 512000.0 0.0 0.0 13.0 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 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 0.0 0.0 0.0 0.0 0.0 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 353280.0 1024.0 4096.0 10.0 4.0 0.0 1.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -353280.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5718255 0.0 0.0 0.0 0.20058191 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1622214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5106826 0.0 0.0 0.0 0.0 0.0 0.0 -5.030889 7.047308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 4096.0 0.0 4096.0 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 -356352.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 280.0 372736.0 77824.0 421888.0 0.0 0.0 0.0 0.0 8.0 393216.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 503612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.303442 0.020332336 0.0050964355 0.004793167 0.008390427 0.002155304 0.0035743713 0.0016975403 0.0063495636 0.0015335083 0.0018806458 0.001159668 0.004798889 0.0014705658 0.0011978149 0.0043849945 0.0043525696 0.0013217926 0.0012130737 0.0021457672 0.0026741028 0.00349617 0.00097084045 0.0008277893 0.0022182465 0.0010719299 0.00088119507 0.0010471344 0.001543045 0.00090408325 0.0013751984 0.0009899139 0.010633469 0.0009384155 0.0011463165 0.00086021423 0.002861023 0.0018157959 0.0010185242 0.00077056885 0.0016613007 0.0011730194 0.0035877228 0.002040863 0.0033054352 0.00182724 0.0016784668 0.00096702576 0.0058937073 0.0040607452 0.00315094 0.004907608 0.0032634735 0.0029907227 0.0026359558 0.0029296875 0.0034561157 0.0028533936 0.009836197 0.0047740936 0.004776001 0.0023345947 0.003917694 0.004152298 0.011440277 0.004699707 0.0065174103 0.007329941 0.0026111603 0.008937836 0.0033111572 0.0018615723 0.0036945343 0.002380371 0.0011291504 0.0013542175 0.0067005157 0.0039711 0.0019721985 0.0016040802 0.0055656433 0.0015830994 0.0016441345 0.0051555634 0.0033493042 0.0072574615 0.00438118 0.002407074 0.0020866394 0.0015048981 0.0015773773 0.0010471344 0.0014266968 0.003271103 0.00166893 0.0026779175 0.0013160706 0.010421753 0.0028858185 0.0062065125 0.0033893585 0.009635925 0.0031604767 0.0044174194 0.0055122375 0.008300781 0.0026111603 0.0008773804 0.0077819824 0.0022220612 0.012176514 0.0042762756 0.0023841858 0.001045227 0.008811951 0.011087418 0.014970779 0.008569717 0.0016994476 0.0017280579 0.0016899109 0.0024280548 0.001209259 0.000957489 0.001373291 0.0022335052 0.0017433167 0.0009441376 0.0020885468 0.0012321472 0.001411438 0.005338669 0.0022621155 0.0042533875 0.00084114075 0.00081443787 0.0016708374 0.0053215027 0.00081825256 0.014532089 0.0014209747 0.0044956207 0.00095939636 0.001039505 0.0010890961 0.0007534027 0.00067710876 0.0008907318 0.0011444092 0.0008773804 0.00071144104 0.0008201599 0.0011081696 0.00068473816 0.0007019043 0.00076293945 0.0009765625 0.000875473 0.000749588 0.0007686615 0.0014209747 0.0009384155 0.0008678436 0.00086402893 0.0013103485 0.0010929108 0.0007724762 0.0008583069 0.0012969971 0.0007286072 0.0009021759 0.0009098053 0.0010032654 0.00077438354 0.0008983612 0.0007381439 0.0013065338 0.0008678436 0.0006866455 0.00082969666 0.0011234283 0.0010681152 0.0007801056 0.0013637543 0.002166748 0.00090408325 0.00088882446 0.0008068085 0.0011234283 0.0009422302 0.00091362 0.00091552734 0.003967285 0.0016078949 0.0018863678 0.002008438 0.0015640259 0.00090408325 0.0016746521 0.0031032562 0.0019054413 0.0015239716 0.0008049011 0.00089645386 0.01484108 0.000787735 0.0015277863 0.001159668 0.001531601 0.0009536743 0.001253128 0.0009536743 0.0017719269 0.0007362366 0.0012016296 0.0010738373 0.0019493103 0.0011692047 0.0008583069 0.0010643005 0.0014019012 0.0008659363 0.00096702576 0.000875473 0.0019798279 0.0008010864 0.00091552734 0.0008010864 0.0017986298 0.0007839203 0.0007724762 0.00097465515 0.00658226 0.0020942688 0.00076675415 0.0028076172 0.0030574799 0.0007534027 0.00081062317 0.0009422302 0.003320694 0.0012340546 0.0009498596 0.00088500977 0.0013771057 0.00089645386 0.0019016266 0.0014038086 0.002521515 0.0012149811 0.00091171265 0.0013542175 0.003698349 0.0021781921 0.0018234253 0.029045105 0.20135343 1.2422028e-05 1.3377568e-05 3.8221624e-06 3.7266083e-05 2.1021893e-05 4.586595e-05 3.6310543e-05 3.8221624e-06 9.555406e-07 9.555406e-06 9.555406e-06 0.0 4.777703e-06 4.777703e-06 8.599865e-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 0.0018308158 7.644325e-06 3.8221624e-06 6.688784e-05 4.777703e-06 4.777703e-06 2.8666218e-06 1.9110812e-06 3.8221624e-06 6.688784e-06 9.555406e-07 6.688784e-06 2.8666218e-06 1.9110812e-06 5.7332436e-06 4.777703e-06 0.0016807959 2.8666218e-06 3.8221624e-06 1.2422028e-05 2.1021893e-05 1.9110812e-05 0.000120398116 6.688784e-05 0.0 2.8666218e-06 1.9110812e-06 2.8666218e-06 9.555406e-07 1.9110812e-06 1.9110812e-06 1.719973e-05 0.0016788848 1.719973e-05 1.719973e-05 2.8666218e-05 1.624419e-05 1.8155271e-05 1.719973e-05 1.719973e-05 2.0066353e-05 1.8155271e-05 1.8155271e-05 1.1466487e-05 1.9110812e-05 1.8155271e-05 2.4844056e-05 1.624419e-05 0.0030806628 8.69542e-05 5.8287977e-05 2.8666218e-05 8.408757e-05 3.153284e-05 8.7909735e-05 3.6310543e-05 1.719973e-05 4.3954868e-05 3.439946e-05 2.8666218e-05 8.599865e-06 1.624419e-05 2.9621759e-05 0.00024079623 0.0056310007 0.00025799597 0.00015957528 0.00026181812 0.00011944258 3.6310543e-05 4.2043786e-05 4.682149e-05 5.6376895e-05 0.00012899798 3.6310543e-05 3.248838e-05 3.05773e-05 4.1088246e-05 3.7266083e-05 0.0009096747 0.00538256 0.00010606501 0.000115620416 0.00010224285 0.00011944258 9.8420685e-05 0.00017295284 9.17319e-05 0.00010797609 9.555406e-05 8.1220955e-05 0.000103198385 0.0002895288 8.1220955e-05 7.739879e-05 0.00080265413 0.004125069 4.1088246e-05 0.000176775 0.00020161907 0.00092782994 0.0004634372 0.0015680421 0.00095267396 0.00031437285 3.153284e-05 6.11546e-05 3.6310543e-05 0.00019206366 5.6376895e-05 9.268744e-05 0.0005437026 0.030934671 0.0011093826 0.008270204 0.01511283 0.022777222 0.0105214575 0.030995825 0.01720833 0.0016588185 0.0003573722 0.0006039017 0.00042330447 0.000859031 0.00042999326 0.00043381544 0.0011609818 0.012208942 0.00027328462 0.0058765747 0.0054494482 0.010268239 0.0053988043 0.018250825 0.010823408 0.00025130718 0.00021308556 0.00022455204 0.00022646312 0.00018919705 0.0002780623 0.0001223092 0.00039559382 0.01723413 0.0017591503 0.004783436 0.023706008 0.0066572516 0.004383065 0.01328297 0.009026037 0.0018604376 0.0017190175 0.0019464362 0.0017524614 0.0017553282 0.0017142398 0.0016855736 0.00262487 0.013337436 0.0013807561 0.0015231317 0.0015804642 0.0016941736 0.0016005305 0.0025493824 0.002290431 0.0024127401 0.0007644325 0.00096605154 0.0012469805 0.0040572253 0.0010119175 0.0015909751 0.00504621 0.04921225 0.010664789 0.0053816047 0.0086982865 0.014542373 0.012498471 0.0074121286 0.010322705 0.025703087 0.0017333507 0.0022722755 0.0038986057 0.019253187 0.0052019632 0.011182692 0.027286418 0.013002041 0.0029755535 0.0018480156 0.0026544917 0.00431331 0.0036472986 0.0023640075 0.0037390303 0.0077446564 0.000940252 0.0011867814 0.0013597343 0.005790576 0.0021050558 0.003498234 0.0074102175 0.01072021 0.008349514 0.008094384 0.008138339 0.0079950085 0.007911876 0.00836098 0.008296004 0.008430735 0.007556415 0.007959654 0.007575526 0.0077847894 0.0076882797 0.007903276 0.008350469 2400.0 43.65542 104773.0 0.042663664 0.00040086664 0.00096398883 0.0004390444 0.006557033 0.002195222 0.0013362222 0.0005440333 0.0029492332 0.0024147443 0.011882832 0.0006490222 0.010861577 0.0012216888 0.0036173442 0.001097611 0.007835988 0.006557033 0.006366144 0.0039227665 0.004495433 0.0035218997 0.0032164776 0.0028919664 0.0039036775 0.0024624665 0.04173785 0.0038273218 0.012398233 0.0036936996 0.010470254 0.01286591 0.04349403 0.0154333655 0.024596032 0.028413808 0.0036841552 0.007835988 0.0019852442 0.0029874109 0.010336633 0.005593044 0.0006681111 0.0033214665 0.02609451 0.0036650663 0.0020329666 0.0030160442 0.010241188 0.0020711443 0.0023765664 0.018325333 0.0077119106 0.025292777 0.009449 0.0024052 0.004390444 0.0007444666 0.0035791665 0.0013075888 0.0021188664 0.0018993443 0.00057266664 0.008313211 0.0013362222 0.046405084 0.009544443 0.02650492 0.011472422 0.038225498 0.0031305775 0.018029453 0.012197799 0.036497954 0.0012884999 0.00097353326 0.0328138 0.0070628882 0.05588272 0.014421655 0.006471133 0.00046767775 0.03810142 0.04907753 0.05347752 0.0112433545 0.0032737441 0.002042511 0.0032069332 0.007893255 0.0020138777 0.0003722333 0.001355311 0.00034359997 0.00056312216 0.0003913222 5.6291246 1.0 10.0 0.0 8.0 524288.0 442368.0 1.0 62.0 305.0 1.0 1.0 0.0 0.0 0.0 1247527000.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 1.0 9.0 0.0 6.0 1.0 5.0 1.0 284160.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -284160.0 0.0 95232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.797892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.157465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0250063 0.0 7.4885035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -283955.0 0.0 94808.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 -1.0 -2.0 1.0 0.0 1.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 2.0 1.0 0.0 -2.0 1.0 0.0 1.0 -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 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 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 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 0.0 -1.0 -2.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 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 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 -1.0 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 -1.0 -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 -1.0 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 1.0 0.0 0.0 -1.0 -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 1.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 2.0 0.0 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 2.0 0.0 0.0 -1.0 1.0 1.0 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 -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 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 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 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 -2.0 -1.0 -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 2.0 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 1.0 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 1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 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 1.0 -1.0 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 1.0 0.0 0.0 -2.0 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 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 -2.0 1.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 4067.0 283984.0 240.0 270924.0 94808.0 315392.0 0.0 0.0 0.0 0.0 20644.0 413696.0 28.0 5840.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 89696.0 224.0 648.0 1552.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.15874287 0.01720578 0.011331012 0.006036407 0.009693465 0.0057727834 0.0033655327 0.0031375077 0.010610376 0.0024717133 0.002696852 0.0035877847 0.008869882 0.003015317 0.0032115919 0.013724792 0.0076181497 0.0036984298 0.0033520628 0.0063394783 0.0048462516 0.00483663 0.0027295644 0.0026583667 0.003854295 0.002056073 0.0021388163 0.002262931 0.003515625 0.0028507928 0.0028844674 0.0023533714 0.0047558113 0.001813616 0.0015855911 0.0015461438 0.008813116 0.0016818042 0.0021830741 0.0014422337 0.002513085 0.0014354988 0.0012517319 0.0020012315 0.0019444658 0.0018665333 0.0013893165 0.0014018242 0.003552186 0.0022465747 0.0023629926 0.0059103677 0.0026295027 0.0021570968 0.0021994305 0.0022100138 0.002919104 0.0031201893 0.0020108528 0.00470097 0.003162523 0.003390548 0.0023889702 0.00470097 0.004289178 0.002852717 0.0021234222 0.002765163 0.005683305 0.010095635 0.0041977754 0.0028700354 0.005720828 0.0036599445 0.0017837901 0.002644897 0.008210822 0.005157982 0.0022090517 0.0018828894 0.0071649863 0.002926801 0.0022523475 0.0039543565 0.0026295027 0.004398861 0.004702894 0.003981296 0.0021493996 0.0034540487 0.0013258159 0.0019665947 0.001820351 0.003980334 0.0029306496 0.0031817658 0.0013315887 0.002602563 0.0014951508 0.0017202895 0.002152286 0.003604141 0.005289794 0.0014422337 0.0036320428 0.002218673 0.0062394165 0.0012151708 0.0021580588 0.0020233605 0.002394743 0.002247537 0.0022052033 0.001010237 0.008170413 0.002431304 0.009296105 0.009583782 0.001776093 0.0017077817 0.0019127155 0.0015519166 0.00096116844 0.0021782636 0.0020156635 0.0031067196 0.0020579973 0.00200508 0.0032154403 0.0021801877 0.0010381389 0.0108181955 0.004767357 0.00820505 0.0013306265 0.0013508312 0.0023995535 0.010518973 0.001422991 0.0362627 0.0015904017 0.009119073 0.0011834205 0.0011305034 0.001481681 0.0008688039 0.00081492454 0.0009072891 0.0014614763 0.0010593057 0.00100254 0.00086014473 0.0011949661 0.0011410868 0.00095250923 0.0009756004 0.001274823 0.0010188962 0.0010583436 0.0012796336 0.0014547413 0.0012517319 0.00095539563 0.0011997768 0.001304649 0.0012998384 0.0010035022 0.00095828203 0.0014172182 0.0010208205 0.0008322429 0.0010525708 0.0013277401 0.0009323045 0.0010775862 0.0011026016 0.0018020705 0.001083359 0.0009044027 0.001216133 0.0014124076 0.0014836052 0.002204241 0.0024813346 0.001908867 0.0014922644 0.0014364609 0.0010140856 0.0014508929 0.0013614147 0.0013210053 0.0018482527 0.0073006465 0.003389586 0.0030105065 0.0028498308 0.002594866 0.0012247922 0.0026699123 0.006958128 0.002712246 0.0025833205 0.0012844442 0.0017693581 0.0023023784 0.00096116844 0.00272764 0.0019646706 0.001968519 0.0013527556 0.0015750077 0.0012661638 0.0015692349 0.00088419794 0.0014104834 0.0013248537 0.0027718982 0.0018001462 0.0012642395 0.0020098907 0.0020685806 0.0018896244 0.0013941271 0.0013835437 0.0027747846 0.0015596136 0.001437423 0.0013065733 0.0027805574 0.0023033405 0.001083359 0.0012113224 0.014298222 0.004665371 0.0011766857 0.0050588823 0.004699046 0.001201701 0.0012950277 0.0016635237 0.0038860452 0.0024438116 0.002019512 0.0017876385 0.002733413 0.0012555803 0.0030894012 0.00266895 0.0067358757 0.004039986 0.0022234838 0.002151324 0.0071620997 0.002234067 0.0032356451 0.05362242 0.01183432 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003929364 0.0 0.0 0.0 0.0 1.4446191e-05 9.630794e-07 0.0 0.0009544117 0.0 3.370778e-06 1.9261588e-06 7.2230955e-06 9.004792e-05 1.0112333e-05 4.815397e-06 0.00089855306 0.0 0.0 0.0 0.0 1.9261588e-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 0.004174949 0.00023017597 3.226316e-05 2.8410843e-05 1.540927e-05 1.0593873e-05 6.500786e-05 5.9229384e-05 4.0449333e-05 1.1075413e-05 4.3338573e-06 9.630794e-07 1.8780049e-05 1.4446191e-06 1.685389e-05 0.00022102673 0.0037367481 0.0006539309 4.1412415e-05 3.9967796e-05 6.78971e-05 2.3113906e-05 0.000105938736 0.00042664417 0.0006582648 9.149254e-06 9.149254e-06 8.667715e-06 9.149254e-06 2.4076984e-05 1.733543e-05 8.571406e-05 0.011986967 0.0012539293 0.00056966144 0.0004911705 0.0025256758 0.0016146026 0.000151685 0.00026869914 3.9486255e-05 1.1075413e-05 2.2632366e-05 0.00043531187 0.00015072193 3.0337002e-05 3.9004713e-05 0.00013290496 0.014559834 0.0033019176 0.0008783284 0.00033129932 0.0016097872 0.0009876379 0.00067656324 0.0017436552 0.0007815389 2.9373921e-05 4.1412415e-05 9.630794e-05 5.6821686e-05 5.2487827e-05 0.0004661304 0.0010141226 0.027422242 0.0026898808 0.0018678925 0.0009852302 0.0020094651 0.0010030472 0.003900953 0.005553597 0.000472872 0.000364044 0.00061926007 0.0013478296 0.0015077008 0.00059422 0.0011393229 0.00079068815 0.014021473 0.0023123536 0.0012216662 0.0004126795 0.0013540896 0.00045553656 0.0020046497 0.0017715845 0.00024173292 0.00027832994 0.00021861902 0.0001892451 0.0009731917 0.00053113827 0.00045312886 0.0011739938 0.022788865 0.0036120291 0.0018284062 0.0011417306 0.005147659 0.0014388406 0.0061458913 0.0031728651 0.00041797647 0.0004502396 0.0005412506 0.00047816892 0.0026248728 0.0005417322 0.000539806 0.0023841031 0.0077075246 0.0027948564 0.0005321014 0.00044927653 0.000733385 0.00032359466 0.00067848945 0.00049454125 0.00028796075 0.00035007935 0.00033081777 0.00031829774 0.00033515162 0.00045890734 0.000691491 0.002251198 0.011014739 0.010949731 0.0038585775 0.0144206695 0.0013719066 0.0015240732 0.0016478288 0.0014113928 0.001656015 0.0015534471 0.0017566568 0.0017966246 0.0022232688 0.003135305 0.0034560105 0.011202058 0.01218777 0.003591323 0.00237688 0.0023585814 0.002734664 0.0012481508 0.0012033677 0.0018399631 0.0044320915 0.0007348296 0.00064574473 0.0014711038 0.0024572972 0.0012650047 0.0023932522 0.007383448 0.067345254 0.010498047 0.008166913 0.010532237 0.022168644 0.01969353 0.009158404 0.015295627 0.043082394 0.0033996704 0.0033996704 0.0055502267 0.015715048 0.0057553626 0.017080214 0.03803056 0.045978375 0.0094165085 0.009349574 0.009603346 0.019413754 0.017286794 0.008742353 0.0129721975 0.03290842 0.003065 0.0035619491 0.0052718967 0.01317926 0.0060534356 0.014632546 0.029195752 0.0075327256 0.0067198863 0.0069091315 0.0087134605 0.0070314426 0.007152309 0.0072847325 0.006985215 0.0067670774 0.0071003027 0.0070454073 0.007466273 0.007065632 0.0074845715 0.0076194024 0.0074932394 3398.0 11.123602 37798.0 0.021747183 0.0029366633 0.0038626383 0.0034393354 0.012328695 0.003042489 0.0026985556 0.0038361817 0.0055558495 0.0043917666 0.0029366633 0.0033864225 0.0049738083 0.004180115 0.0035187048 0.002725012 0.015053706 0.01251389 0.012725541 0.0142335575 0.01354569 0.012910736 0.013625059 0.013228213 0.013122387 0.016429441 0.013281126 0.016826287 0.013730885 0.012804911 0.011958305 0.012751997 0.0043917666 0.006349542 0.0038626383 0.008571882 0.012381608 0.007010953 0.008042754 0.0077252765 0.010318006 0.008757077 0.0029102068 0.0033599662 0.007778189 0.0052383724 0.0051854597 0.004841526 0.015820943 0.005714588 0.0059791524 0.013148844 0.0071432353 0.0061114347 0.008730621 0.013413408 0.006455368 0.005952696 0.0038626383 0.0040478334 0.0051325466 0.0037568125 0.003598074 0.0216149 0.0043653105 0.026297688 0.0070374096 0.01613842 0.014339383 0.047489285 0.012831367 0.008598339 0.01066194 0.023546219 0.013016562 0.0051854597 0.019075083 0.010794222 0.023361024 0.02605958 0.010556114 0.0025133605 0.028414201 0.019419016 0.041166198 0.014101275 0.005899783 0.0054764803 0.0066141067 0.00695804 0.0031218582 0.031377323 0.004576962 0.002804381 0.0031218582 0.0035716176 6.2203937 0.0 0.0 0.0 5.0 1039360.0 1064960.0 1.0 0.0 504.0 1.0 1.0 0.0 0.0 0.0 1546003800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 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 12.0 0.0 5.0 1.0 5.0 1.0 581632.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581632.0 0.0 210432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.79917 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7656097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1963819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6754565 0.0 7.2526073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 195982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581597.0 0.0 210236.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 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 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 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 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 3.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -2.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 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 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 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 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 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 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 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 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 770252.0 210236.0 819200.0 0.0 0.0 0.0 0.0 28980.0 1032192.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 674640.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0