Input: 0.20490451 0.009331597 0.0030092592 0.0023148148 0.007175926 0.0020833334 0.0037615742 0.0012876157 0.0065104165 0.0014178241 0.0018229167 0.0007957176 0.0055266204 0.002025463 0.0009693287 0.0018952546 0.037760418 0.0013020834 0.0012152778 0.00083912036 0.0044270833 0.009403936 0.00086805556 0.0005497685 0.004369213 0.00049189816 0.00070891203 0.00047743056 0.0027777778 0.0005931713 0.0005787037 0.00034722223 0.0033420138 0.0006076389 0.0005787037 0.00041956018 0.023321759 0.002589699 0.00049189816 0.00047743056 0.0030092592 0.00041956018 0.0009259259 0.00067997683 0.0019386574 0.0007957176 0.002271412 0.0009837963 0.0057002315 0.0040653935 0.003660301 0.004890046 0.005946181 0.0076967594 0.008434607 0.0062644677 0.003978588 0.002879051 0.0030092592 0.0029658566 0.0028645834 0.0020109953 0.0015625 0.007841435 0.02536169 0.009244791 0.00426794 0.0023003472 0.008854167 0.0071614585 0.0023871528 0.0014178241 0.0027488426 0.0028067129 0.00067997683 0.00050636573 0.010069445 0.0030092592 0.0024305556 0.0015046296 0.010763889 0.0143807875 0.0030815972 0.00390625 0.0042824075 0.0046440973 0.010112847 0.0028211805 0.0048611113 0.0010271991 0.004296875 0.001099537 0.00270544 0.00086805556 0.0022858796 0.0026475694 0.0017650463 0.00901331 0.0028935184 0.007711227 0.004369213 0.015393519 0.0013020834 0.003125 0.0058738426 0.010300926 0.0057436344 0.004079861 0.008333334 0.0052083335 0.009360532 0.008897569 0.0036024305 0.0013454861 0.008926504 0.00541088 0.021498842 0.00811632 0.0022569445 0.000853588 0.002416088 0.0019675926 0.0006076389 0.00031828703 0.0012152778 0.00046296295 0.000853588 0.00046296295 0.0028501158 0.0062355325 0.00270544 0.0100405095 0.0046006944 0.002734375 0.00047743056 0.00034722223 0.001634838 0.0060474537 0.0009693287 0.017476851 0.001953125 0.0114438655 0.00067997683 0.0006221065 0.0020109953 0.00052083336 0.0005931713 0.00049189816 0.0020543982 0.0005497685 0.00040509258 0.00023148148 0.0013165509 0.00034722223 0.0003761574 0.00028935185 0.00083912036 0.00034722223 0.00034722223 0.00033275463 0.0016059028 0.000998264 0.0007233796 0.00056423614 0.00088252313 0.00046296295 0.0006076389 0.0003761574 0.0011140046 0.00024594908 0.0003616898 0.00028935185 0.0009837963 0.00031828703 0.0007667824 0.00043402778 0.0019097222 0.00088252313 0.0009548611 0.0006510417 0.0014756945 0.0006221065 0.00056423614 0.00083912036 0.0019241899 0.00067997683 0.0007667824 0.0005931713 0.0013599537 0.00053530093 0.00066550926 0.00028935185 0.005150463 0.0011429398 0.0019675926 0.0024016204 0.006076389 0.00053530093 0.0023003472 0.0031828703 0.002170139 0.001099537 0.00078125 0.00073784724 0.018373843 0.00047743056 0.0025318286 0.0009548611 0.0016637732 0.00056423614 0.0011574074 0.0010561342 0.001244213 0.00088252313 0.0011429398 0.0016493056 0.0015335648 0.0013454861 0.0006510417 0.0009693287 0.0017795139 0.0020543982 0.00067997683 0.00063657406 0.001490162 0.00050636573 0.0006221065 0.00052083336 0.0022858796 0.00049189816 0.00066550926 0.00047743056 0.0055555557 0.0010127315 0.0011429398 0.0017216435 0.002488426 0.0005931713 0.0010127315 0.0005497685 0.0028935184 0.001490162 0.0006221065 0.0006076389 0.0011140046 0.0003616898 0.001808449 0.00088252313 0.002025463 0.0008246528 0.00050636573 0.00033275463 0.0018518518 0.00047743056 0.0011429398 0.025318287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011748343 0.00012576941 0.000118371216 0.0018199574 0.000103574814 0.00012576941 0.00015536221 8.877841e-05 0.00012576941 5.9185608e-05 0.00017015862 8.138021e-05 0.000110973015 8.877841e-05 0.00013316762 9.617661e-05 0.010964134 0.00021454782 0.00034771542 0.00022194603 0.00045129025 0.00028113162 0.0015536222 0.00076201465 6.658381e-05 1.4796402e-05 6.658381e-05 5.1787407e-05 2.9592804e-05 7.398201e-06 2.9592804e-05 8.877841e-05 0.019605232 0.003388376 0.00024414062 0.000103574814 0.00060665247 0.00019975142 0.00013316762 0.00020714963 0.00021454782 0.00014796402 0.00026633524 0.0024266099 0.00024414062 0.00014796402 0.00028113162 0.0020862927 0.018983783 0.002071496 0.00040690103 0.00016276042 0.00076201465 0.00057705963 0.0025153882 0.0013390743 0.00024414062 0.00015536221 0.00019975142 0.0011467211 0.000103574814 0.00014796402 0.00013316762 0.0013538707 0.032500297 0.0020566997 0.0010209517 0.0060369316 0.034150094 0.021003492 0.04930161 0.025508996 0.00056226325 0.00055486505 0.00056966144 0.0009913589 0.0014130564 0.001694188 0.0022934421 0.0021602747 0.0022342566 0.00022934422 0.000103574814 0.001842152 0.0073242188 0.0051417495 0.008330374 0.0046238755 8.138021e-05 7.398201e-05 2.9592804e-05 4.4389206e-05 7.398201e-05 5.1787407e-05 7.398201e-05 4.4389206e-05 0.036820844 0.0071614585 0.0043353457 0.035496566 0.011829723 0.0113266455 0.020382043 0.012059067 0.0034549597 0.0025671758 0.0029000947 0.0030850498 0.0059925425 0.0032182173 0.0031220408 0.002914891 0.015654594 0.0035215435 0.0007990057 0.0009987571 0.0021972656 0.0037730823 0.0048384233 0.002988873 0.0012428977 0.00051047583 0.00054006866 0.00067323627 0.002212062 0.0013168798 0.0021232837 0.002064098 0.06740501 0.03807854 0.027950402 0.013664477 0.020530008 0.024695193 0.014137962 0.009403113 0.053392816 0.003684304 0.0028926965 0.0033957742 0.029947916 0.0068359375 0.00867809 0.023792613 0.021728516 0.01048325 0.0074943774 0.012199633 0.0073168203 0.0074499883 0.0034771543 0.004046816 0.012162642 0.0027225378 0.0024783972 0.0022342566 0.010179924 0.0054450757 0.004187382 0.0076053506 0.002175071 0.0007916075 0.0008285985 0.002833511 0.0012798887 0.00080640387 0.00056226325 0.00048828125 0.00074721826 0.00063624524 0.0007324219 0.0007176255 0.0006584399 0.00048828125 0.00049567944 0.0009099787 681.0 27.016153 18398.0 0.0029894554 0.0006522448 0.00038047615 0.00021741494 0.002880748 0.0006522448 0.00043482988 0.0004891836 0.0016849658 0.00043482988 0.0009783672 0.0004891836 0.0010327209 0.00059789105 0.0060876184 0.0025546255 0.00815306 0.008424829 0.0058702035 0.008098707 0.014621154 0.019567344 0.02299163 0.016686596 0.007337754 0.0048374822 0.0037504076 0.0023915642 0.004293945 0.002663333 0.002228503 0.025926732 0.083215564 0.031796936 0.013207957 0.0067942166 0.005761496 0.020273943 0.0035873465 0.0033699316 0.003859115 0.0070659854 0.0012501358 0.0004891836 0.0043482985 0.00945755 0.004293945 0.004674421 0.015055984 0.046635505 0.0033155777 0.008424829 0.005326666 0.007120339 0.012501359 0.0030438092 0.01396891 0.0009240135 0.014947277 0.00081530603 0.0010327209 0.00027176866 0.0004891836 0.005761496 0.001848027 0.03114469 0.009783672 0.02706816 0.010598978 0.054245025 0.002445918 0.009946734 0.006739863 0.035329927 0.005272312 0.011631699 0.021741495 0.018262854 0.032068703 0.030764213 0.008805305 0.0039678225 0.030329384 0.018534623 0.061528426 0.02125231 0.007555169 0.0015762583 0.0042395913 0.0059789107 0.0009783672 0.00038047615 0.0011957821 0.00027176866 0.0004891836 0.0005435373 5.632777 0.0 0.0 0.0 2.0 69120.0 86016.0 0.0 2.0 306.0 1.0 1.0 0.0 0.0 0.0 1505995300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 6.0 9.0 0.0 5.0 0.0 5.0 0.0 27136.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.611082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.118369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5430517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.234457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1072183 0.0 3.2861264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6246.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30625.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26775.0 0.0 856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -2.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -2.0 -1.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 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 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 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 -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 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 -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 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 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 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -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 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 -1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 129.0 63264.0 160.0 48620.0 856.0 73728.0 0.0 0.0 0.0 0.0 4576.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 45112.0 0.0 0.0 1252.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.2215939 0.0038996516 0.003939242 0.0026987437 0.0029296875 0.0026591532 0.002454603 0.0036357157 0.0031936234 0.0025271855 0.0028109164 0.0021774704 0.00283731 0.0037016997 0.0021972656 0.0042361696 0.0025139886 0.0024084144 0.0022962415 0.004038218 0.0047178525 0.0025799726 0.002606366 0.0022104625 0.0027779243 0.003457559 0.0025931695 0.002269848 0.002804318 0.0035961254 0.0021048882 0.0023160367 0.007838894 0.0026459566 0.0022236593 0.0026657516 0.0046452703 0.0028505067 0.002355627 0.003655511 0.0029098922 0.0026459566 0.0027977196 0.0023688239 0.0026591532 0.0027779243 0.002936286 0.002203864 0.0044011297 0.004407728 0.0028637035 0.0024084144 0.0023688239 0.0023424304 0.0025469805 0.002421611 0.0024743981 0.0029098922 0.0022632496 0.0024084144 0.0027449324 0.0022434543 0.0023424304 0.0023952175 0.004592483 0.0030286633 0.002355627 0.0025139886 0.004091005 0.0057340055 0.0027581293 0.0027317356 0.004638672 0.0040184227 0.0028307117 0.0028109164 0.0032332137 0.0037610852 0.003721495 0.002857105 0.004420925 0.002520587 0.00337178 0.0029626794 0.003187025 0.0035169446 0.0025931695 0.0025799726 0.00267235 0.0026657516 0.002606366 0.0028966956 0.0025997676 0.0031936234 0.00300227 0.0041108 0.0024743981 0.007225243 0.003121041 0.004302154 0.0038534629 0.006888725 0.0033519848 0.0034971496 0.0031804265 0.005311708 0.00337178 0.0032794024 0.0061694994 0.0030286633 0.005489865 0.0040184227 0.0038666597 0.002454603 0.004625475 0.0041173985 0.0045001055 0.004025021 0.003318993 0.0026657516 0.0035301414 0.0024282094 0.002335832 0.0019465266 0.0029494828 0.0036291175 0.0025337837 0.0045594913 0.002606366 0.003055057 0.0038336676 0.003404772 0.0025799726 0.0022632496 0.002019109 0.001953125 0.00390625 0.005681218 0.003787479 0.005258921 0.0026459566 0.0042361696 0.0027845227 0.0023754223 0.0030814507 0.0025997676 0.003939242 0.001953125 0.0024150126 0.0023622254 0.002520587 0.0025469805 0.0026459566 0.0022962415 0.0024809965 0.002269848 0.0037280933 0.0025931695 0.0022962415 0.002454603 0.0028109164 0.002989073 0.002606366 0.0028505067 0.002804318 0.0023490288 0.0027647277 0.002421611 0.0024743981 0.002085093 0.0034707559 0.0022830449 0.0022500528 0.0020652977 0.0023160367 0.0038534629 0.0041173985 0.0024282094 0.0026657516 0.0021576753 0.0023820207 0.0024941934 0.0023490288 0.0022434543 0.003708298 0.0021774704 0.0023688239 0.0019597234 0.0026657516 0.002335832 0.0021642738 0.0021246832 0.003187025 0.0027053421 0.0038600613 0.0028439083 0.002401816 0.0024612015 0.0024678 0.004341744 0.0029626794 0.0023688239 0.0024612015 0.0026987437 0.0026459566 0.0025733742 0.0023424304 0.0024941934 0.0042955554 0.0034905511 0.0027845227 0.0023622254 0.0025799726 0.002586571 0.0028307117 0.002217061 0.002487595 0.0024678 0.0033783785 0.0027185387 0.0035169446 0.0035631335 0.0024084144 0.003688503 0.0050147804 0.0036819046 0.0026591532 0.0027845227 0.003272804 0.0026591532 0.002170872 0.0027647277 0.0033123945 0.004025021 0.0027185387 0.0032200168 0.003523543 0.003556535 0.0030088683 0.0027317356 0.003622519 0.0035763301 0.0023424304 0.0025601774 0.002857105 0.0021840688 0.0021180848 0.002289643 0.0029824746 0.003457559 0.002269848 0.0021972656 0.0023622254 0.0023160367 0.002269848 0.0068491343 0.08159944 3.321641e-06 0.0 3.321641e-06 0.0 0.0 3.321641e-06 3.321641e-06 0.0 0.0 0.0 0.0 3.321641e-06 1.3286564e-05 3.321641e-06 0.0 0.006593458 0.0 3.321641e-06 6.643282e-06 3.653805e-05 1.9929847e-05 8.636267e-05 4.982462e-05 0.0 0.0 0.0 0.0 3.321641e-06 3.321641e-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 0.024131723 0.00022254996 0.00027901787 0.00019929848 0.00033548576 0.00020262011 0.0007207961 0.0003620589 8.968431e-05 0.00010961416 5.64679e-05 9.964924e-05 0.00011625744 7.30761e-05 8.304103e-05 0.000129544 0.011134141 0.00011957908 9.964924e-05 0.001341943 0.00011957908 8.636267e-05 8.636267e-05 4.6502977e-05 5.978954e-05 0.0001129358 7.9719386e-05 8.636267e-05 2.6573129e-05 5.3146257e-05 7.30761e-05 7.9719386e-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 0.0052614794 9.3005954e-05 9.964924e-05 6.975447e-05 0.0002989477 0.00010961416 0.00030891263 0.00016608206 3.3216413e-05 5.3146257e-05 3.9859693e-05 6.311118e-05 5.978954e-05 7.30761e-05 4.3181335e-05 2.989477e-05 0.03198076 0.00025576638 0.0030891262 0.00040524022 0.0019963062 0.00088355655 0.009257413 0.0045107887 0.00046502976 9.964924e-05 8.304103e-05 0.00012622237 0.0002823395 8.968431e-05 0.00034877233 0.00054807076 0.023374388 0.00024580144 0.0027735704 0.0003321641 0.002056096 0.001777078 0.0052216197 0.002341757 0.0005248193 0.00019929848 0.0 4.982462e-05 0.0006709715 1.3286564e-05 0.00010297087 0.0011326796 0.0070950254 0.0001694037 0.00081048044 0.00010961416 0.0007008663 0.0004118835 0.0014216624 0.0009898491 0.0007008663 8.304103e-05 5.64679e-05 0.00014283057 0.00017272534 0.00015611714 0.00027901787 0.00030559098 0.01380474 0.0009732409 0.0004284917 0.0005015678 0.0018734057 0.0010396737 0.0019929847 0.0013585512 0.000694223 0.0005281409 0.00047831633 0.00051153277 0.00055471406 0.0010164222 0.0008935215 0.00056135736 0.0025310905 9.964923e-06 0.0005214977 0.0007174745 0.00028566114 0.00023251488 0.001129358 0.0007241178 0.00015279549 6.311118e-05 4.3181335e-05 0.00013286565 5.978954e-05 6.975447e-05 6.6432825e-05 6.311118e-05 0.005689971 0.00027569622 0.00068757974 0.00041520514 0.0011559312 0.0007041879 0.0009931707 0.00073740433 0.0003321641 0.00032884246 0.000259088 0.00043513498 0.0006643282 0.00030226936 0.0002889828 0.00033548576 0.0036604486 0.00012290072 0.00081048044 0.0008868782 0.0012821535 0.00055471406 0.00087359163 0.00061450363 0.0011260364 0.0003321641 0.00032552084 0.0004517432 0.0007207961 0.00049160287 0.0005879305 0.00076397747 0.0065868143 0.0013851244 0.0028267165 0.0016442124 0.005470743 0.0028001436 0.0011094281 0.001730575 0.008842208 0.0010330305 0.00068757974 0.0011426446 0.0028865063 0.0013685161 0.002933009 0.0051717954 0.039803226 0.041650057 0.038012862 0.037175808 0.040328044 0.040364582 0.045659278 0.040142033 0.03971022 0.039514244 0.04056388 0.03733857 0.03887649 0.043965243 0.045739 0.037414964 599.0 6.721202 4026.0 0.007948336 0.0064580226 0.006706408 0.011177347 0.010928961 0.006954794 0.007451565 0.008196721 0.011674118 0.0072031794 0.0064580226 0.009438649 0.0054644807 0.010183806 0.013412816 0.004470939 0.028812718 0.011425733 0.01490313 0.013909588 0.010928961 0.0064580226 0.010680576 0.0054644807 0.00769995 0.008196721 0.0072031794 0.0062096375 0.007948336 0.006954794 0.005961252 0.005961252 0.007948336 0.007948336 0.007948336 0.010432191 0.0153999 0.010432191 0.008196721 0.0064580226 0.010928961 0.010928961 0.009438649 0.008196721 0.010928961 0.008693492 0.0062096375 0.010928961 0.016145058 0.0057128663 0.016393442 0.010928961 0.008693492 0.007948336 0.0064580226 0.010680576 0.0054644807 0.00769995 0.006954794 0.010928961 0.00993542 0.00993542 0.010680576 0.011177347 0.0064580226 0.019125683 0.008941878 0.015896672 0.0153999 0.026328862 0.012170889 0.011425733 0.009190263 0.019374069 0.012419275 0.010432191 0.027322404 0.012419275 0.016641827 0.021361152 0.012419275 0.0052160956 0.018877298 0.009687034 0.018877298 0.010680576 0.008196721 0.008196721 0.00769995 0.008196721 0.003477397 0.004222553 0.006954794 0.010183806 0.0064580226 0.016145058 6.4519415 0.0 0.0 0.0 8.0 151552.0 159744.0 1.0 0.0 37.0 1.0 1.0 0.0 0.0 0.0 802771300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 8192.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1805706 0.0 0.0 0.0 0.0 0.0 5.029079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.882297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.636394 0.0 4.119155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -97899.0 0.0 0.0 0.0 0.0 0.0 2122.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8882.0 0.0 16968.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 82560.0 200.0 17272.0 16968.0 135168.0 0.0 0.0 0.0 0.0 416.0 155648.0 56.0 16576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 16384.0 64.0 83328.0 0.0 0.0


Input: 0.025876084 0.004651373 0.0041433345 0.0042788116 0.0041433345 0.00433526 0.0039739884 0.0041884934 0.0041884934 0.003951409 0.0040191473 0.0039739884 0.00347724 0.0036804553 0.0035901372 0.0041997833 0.003770773 0.003770773 0.003386922 0.003646586 0.0038949603 0.003601427 0.003341763 0.0035788475 0.0034207911 0.0035449783 0.003996568 0.0038046422 0.004075596 0.0034885297 0.0034207911 0.0033191836 0.0040981756 0.004064306 0.0034207911 0.0040530167 0.006604498 0.003996568 0.0038949603 0.004030437 0.003962699 0.0044481577 0.0035901372 0.0037143244 0.003962699 0.0037030347 0.0041546244 0.003386922 0.004120755 0.0037143244 0.0038385116 0.004075596 0.004086886 0.0038498014 0.004436868 0.0036352961 0.0035111092 0.0043126806 0.00391754 0.0036240064 0.003556268 0.0036240064 0.003827222 0.0036578758 0.0039739884 0.0036804553 0.0037143244 0.00391754 0.00476427 0.003646586 0.00391754 0.0036352961 0.004470737 0.003815932 0.003251445 0.0038385116 0.004165914 0.003691745 0.0037594833 0.003770773 0.00390625 0.0034546603 0.004165914 0.003736904 0.00390625 0.0036352961 0.0037933525 0.0037820628 0.0039288295 0.00391754 0.0039852783 0.0035449783 0.0036127167 0.0036804553 0.0035336886 0.0037594833 0.003996568 0.0036240064 0.004301391 0.004120755 0.0040191473 0.0037594833 0.0040981756 0.0038949603 0.0035449783 0.0038723808 0.0039739884 0.0034659503 0.0039401194 0.003736904 0.00390625 0.0032627347 0.0034998194 0.004165914 0.004244942 0.0041546244 0.004165914 0.0036691655 0.0035901372 0.0039288295 0.003861091 0.003770773 0.003341763 0.0034207911 0.0038723808 0.004075596 0.0037820628 0.0037143244 0.0038836705 0.0038836705 0.003601427 0.00347724 0.003951409 0.0036240064 0.0033756322 0.003206286 0.004064306 0.0047416906 0.003951409 0.0048771678 0.0035901372 0.004290101 0.0035901372 0.003601427 0.0033756322 0.0041546244 0.0038498014 0.0034207911 0.0035788475 0.0035336886 0.0038498014 0.0034433706 0.0035675578 0.00391754 0.0036691655 0.003601427 0.003827222 0.0037256142 0.0037933525 0.0036578758 0.003736904 0.0037481936 0.0034320808 0.0036578758 0.004132045 0.0037030347 0.0035223989 0.0035111092 0.003601427 0.0034659503 0.0035901372 0.00390625 0.0037256142 0.003386922 0.0038498014 0.004120755 0.004064306 0.003646586 0.0037594833 0.0037594833 0.0036578758 0.003770773 0.0041546244 0.003861091 0.004132045 0.004064306 0.0033756322 0.0037030347 0.003691745 0.003996568 0.003646586 0.0035336886 0.0037030347 0.004685242 0.003815932 0.003815932 0.0034998194 0.0042562317 0.004030437 0.0040417267 0.003827222 0.0038046422 0.003815932 0.0036127167 0.0035901372 0.003736904 0.0031837067 0.00391754 0.0036691655 0.0037594833 0.0034885297 0.0036578758 0.0035901372 0.003736904 0.0038385116 0.0040191473 0.0037933525 0.004075596 0.0035223989 0.0034998194 0.003827222 0.0036804553 0.0036578758 0.0037594833 0.0036691655 0.0035223989 0.0035336886 0.0039401194 0.0035336886 0.003556268 0.0037933525 0.0039852783 0.0040417267 0.0038723808 0.004064306 0.0037143244 0.003996568 0.003861091 0.003827222 0.003736904 0.003827222 0.0037594833 0.003736904 0.003951409 0.0037820628 0.003770773 0.0038723808 0.0039288295 0.0036578758 0.0037481936 0.0035336886 0.0037143244 0.003815932 0.0037933525 0.0035788475 0.0046400833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009886259 0.0007123162 0.0016831342 0.000792739 0.0011776194 0.0008272059 0.0009248621 0.0011086856 0.0016084559 0.00044806986 0.00048828125 0.0005284927 0.0012120864 0.00050551473 0.00068359374 0.0009420956 0.0031192554 0.00024126838 0.0013844209 0.00033892464 0.0009420956 0.00031020222 0.00065487134 0.00050551473 0.0016199448 9.765625e-05 0.00010340074 0.00026999082 0.0010225184 0.00018956802 0.00049402576 0.0004710478 0.0025735295 0.00037913604 0.0010340074 0.00052274816 0.00091337314 0.00049402576 0.00071806065 0.0006261489 0.0012350644 0.00029871325 0.00026424634 0.00037913604 0.00085018383 0.00036764707 0.0005457261 0.0005629596 0.05986328 0.057462085 0.06155216 0.061046645 0.059576057 0.059375 0.0596335 0.059386488 0.0578642 0.059070542 0.059139475 0.06060432 0.05909352 0.059495635 0.059828814 0.05994945 426.0 5.892019 2510.0 0.009163347 0.015537849 0.005976096 0.0071713147 0.019521913 0.00876494 0.00876494 0.011155378 0.011553785 0.015139442 0.009163347 0.011952192 0.00996016 0.00876494 0.012350597 0.009561753 0.012749004 0.008366534 0.011952192 0.011553785 0.011155378 0.0139442235 0.011553785 0.00876494 0.009163347 0.011952192 0.011155378 0.009561753 0.009561753 0.009561753 0.010756972 0.009561753 0.008366534 0.009163347 0.011155378 0.011155378 0.01314741 0.012749004 0.009163347 0.0071713147 0.016733067 0.01314741 0.00876494 0.007569721 0.009561753 0.008366534 0.005976096 0.0139442235 0.011155378 0.006374502 0.011952192 0.012350597 0.009163347 0.00438247 0.009561753 0.00876494 0.008366534 0.009561753 0.008366534 0.008366534 0.009163347 0.007968128 0.01314741 0.00996016 0.010756972 0.009561753 0.011155378 0.0139442235 0.00996016 0.014342629 0.008366534 0.0071713147 0.011952192 0.012749004 0.0103585655 0.0071713147 0.010756972 0.009163347 0.011553785 0.0103585655 0.0067729084 0.012350597 0.015537849 0.010756972 0.01752988 0.009561753 0.006374502 0.00876494 0.012350597 0.0103585655 0.011155378 0.009561753 0.00996016 0.011952192 0.009163347 0.007968128 6.5421314 0.0 0.0 0.0 2.0 88576.0 466944.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1086264800.0 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 90112.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7696759 0.0 0.0 0.0 0.0 -7.985768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -90112.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.07990048 0.008006436 0.0051375693 0.005480216 0.006738005 0.0039202166 0.004039398 0.0038436 0.0064485646 0.0031263833 0.0033306943 0.003452004 0.005339752 0.003566929 0.002624119 0.0075850445 0.005258879 0.0036946232 0.0025070657 0.0029923043 0.003924473 0.0036052372 0.0028709946 0.0025475023 0.0041670925 0.0028688663 0.0025560153 0.002481527 0.0036456736 0.0025475023 0.002677325 0.0026922226 0.004413968 0.0024240643 0.00259858 0.002953996 0.0036946232 0.0028709946 0.002615606 0.0026539143 0.0029135593 0.0023240373 0.0023197806 0.0029412266 0.003015715 0.003692495 0.002794378 0.0025815542 0.0060910205 0.0043373513 0.0035286206 0.0058675553 0.0034094392 0.003326438 0.00293697 0.0030008173 0.0034817993 0.0032604623 0.0028773793 0.005510011 0.0033860286 0.0036903666 0.003015715 0.0035967242 0.00663585 0.0041138865 0.003139153 0.0074062725 0.0031029726 0.0073339124 0.0036371609 0.003079562 0.0031285116 0.0027794803 0.0025475023 0.0022538053 0.0028858923 0.0044267373 0.0029582526 0.002498553 0.005939916 0.0033604896 0.0025836823 0.003967038 0.0028326863 0.004492713 0.0044629173 0.003773368 0.0029667653 0.0039095753 0.002402782 0.0030369973 0.0027816086 0.004552304 0.0038670106 0.0037499575 0.002590067 0.0038052916 0.002596452 0.003068921 0.0034903123 0.004607638 0.005569602 0.0026794532 0.0038031633 0.0039989613 0.004724691 0.002590067 0.0034945686 0.003015715 0.003488184 0.004343736 0.0040096026 0.002687966 0.0045246365 0.0044352505 0.009259969 0.007912793 0.0030284843 0.0030540233 0.003077434 0.0029050466 0.002534733 0.002400654 0.002632632 0.0032860013 0.002590067 0.0029646372 0.003443491 0.003317925 0.0030391256 0.009336585 0.0037925222 0.009928236 0.0027879933 0.0025560153 0.0031689482 0.008008564 0.0028241733 0.018343294 0.0029390983 0.007704226 0.0023602173 0.0022708313 0.0027879933 0.0022750876 0.002196343 0.0023793713 0.0026730683 0.0025666566 0.002198471 0.0022538053 0.0025517587 0.0022729593 0.0022005993 0.0023006266 0.0023602173 0.0027347873 0.002198471 0.0024751422 0.0025028093 0.0029220723 0.0021644193 0.002545374 0.0025389893 0.002313396 0.0022027276 0.0021495216 0.0027688392 0.0021644193 0.002126111 0.0021197263 0.0023197806 0.0019877753 0.002198471 0.0022197536 0.0027454286 0.0021814452 0.0022878572 0.00218783 0.0023772432 0.0026815813 0.002590067 0.003158307 0.002971022 0.002694351 0.002713505 0.0023708583 0.0026475296 0.002713505 0.0024964246 0.0025751693 0.006282562 0.0043501207 0.0034924406 0.00501626 0.004192631 0.002392141 0.0033413356 0.005580243 0.003628648 0.003345592 0.0025389893 0.0025219633 0.007270065 0.0024432186 0.0029646372 0.0028411993 0.003015715 0.002758198 0.0028773793 0.0025411176 0.0027113766 0.002126111 0.0024602446 0.0026198623 0.0031178703 0.002668812 0.0022814723 0.0028050193 0.002687966 0.002766711 0.002313396 0.0024261926 0.0034115673 0.0026007083 0.0023963973 0.0023857562 0.0033477203 0.003105101 0.002536861 0.0024857833 0.0090982225 0.0034456193 0.0023729866 0.004748102 0.0045416625 0.0022623183 0.002402782 0.002730531 0.0045863553 0.0027071203 0.0025049376 0.0026709402 0.0034413626 0.0026560426 0.004784282 0.0033115402 0.0050056186 0.0030455103 0.0031795893 0.0028944053 0.0047225626 0.0034030546 0.0055121393 0.03296004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017928577 5.87647e-05 6.8380745e-05 3.2053474e-06 5.3422456e-05 3.2053475e-05 5.983315e-05 3.9532617e-05 9.616042e-06 2.1368983e-06 1.49582875e-05 5.3422455e-06 3.2053474e-06 1.0684491e-05 6.410695e-06 2.7779677e-05 0.002866649 1.9232084e-05 0.0001998 0.0002713861 3.739572e-05 2.7779677e-05 0.00045836467 0.00028634435 2.457433e-05 1.9232084e-05 3.0985026e-05 2.1368982e-05 1.8163635e-05 3.2053475e-05 2.3505881e-05 3.9532617e-05 0.006695971 0.00012714545 0.0006656438 6.09016e-05 0.00061863207 0.00022864812 0.0011090502 0.00069876574 6.410695e-05 1.7095186e-05 1.7095186e-05 1.9232084e-05 2.457433e-05 7.479144e-05 2.564278e-05 0.0004936235 0.0064074895 0.00023078501 0.00040494223 0.00014530908 0.0007308192 0.00021368983 0.0010043422 0.0006378641 8.974972e-05 5.021711e-05 3.8464168e-05 7.372299e-05 7.479144e-05 0.0001239401 4.3806413e-05 0.0006709861 0.008720682 0.00038250478 0.0006474802 0.0005288823 0.0030034105 0.00076180423 0.0027512566 0.0014039421 0.00020193688 0.0001324877 0.00014637753 0.00019232085 0.00015065132 0.00017949945 0.0001282139 0.00036220424 0.005097571 0.0001741572 0.0006773967 0.00053208764 0.00081629516 0.0003718203 0.0014680491 0.00090925023 0.00012500855 0.00010363956 9.722887e-05 0.000101502665 0.00013141925 0.00010577646 0.00010577646 0.0001239401 0.00788836 0.00097122026 0.0011293507 0.009155541 0.0011817047 0.001332356 0.0030151634 0.001991589 0.00090177107 0.00074470905 0.0007094502 0.00074684597 0.0007692834 0.0008291165 0.00069556036 0.00076073577 0.008567894 0.0009797679 0.001018232 0.0022309218 0.0017800363 0.0012629068 0.0013120555 0.0013152609 0.0064085578 0.00085369084 0.00062931655 0.0010374641 0.0024253796 0.00088894967 0.001291755 0.009573304 0.037442733 0.006466254 0.0036337955 0.0066104946 0.009800884 0.0096769435 0.005360409 0.008973904 0.02360204 0.001636864 0.0017789678 0.003427585 0.012138651 0.0028410063 0.008320013 0.022403242 0.03429508 0.009026258 0.0056820125 0.0081650885 0.011445227 0.012499786 0.0076084263 0.010787062 0.021822006 0.0018377325 0.0022757966 0.003173294 0.013794746 0.0043507246 0.0096160425 0.018675422 0.03197975 0.03261227 0.032650735 0.033535413 0.03253214 0.03230883 0.03352259 0.034279052 0.032753307 0.033081323 0.03156092 0.032652874 0.032832373 0.032836646 0.033741623 0.034472443 2266.0 9.529568 21594.0 0.020653885 0.0050940076 0.0058812634 0.0050940076 0.0074557746 0.0044919886 0.0044919886 0.0039362786 0.0056497175 0.0042604427 0.003751042 0.004353061 0.0042141336 0.007779939 0.013337038 0.009215523 0.023293508 0.020144485 0.016115587 0.012318237 0.011669909 0.010697416 0.011114199 0.010280633 0.011994072 0.009030286 0.008983977 0.010049088 0.01106789 0.008335649 0.008613504 0.009678614 0.008243031 0.011484671 0.0041215154 0.013707511 0.008474576 0.006946374 0.0068537556 0.007779939 0.0066222097 0.00940076 0.004353061 0.0039362786 0.0067148283 0.008567194 0.007965175 0.0048161526 0.015235714 0.0063443547 0.007965175 0.013105492 0.010141706 0.0063906643 0.011253126 0.009632305 0.007965175 0.0050013894 0.005788645 0.0051403167 0.0039825877 0.0037973511 0.0044456795 0.010280633 0.004908771 0.023386126 0.007224229 0.019403538 0.019496156 0.037278872 0.012271928 0.010002779 0.011901454 0.027924424 0.0063906643 0.0050476985 0.017134389 0.014726313 0.021394832 0.035704363 0.0145410765 0.0041678245 0.032045938 0.024404928 0.03644531 0.011716218 0.0060664997 0.0064832824 0.008150412 0.007548393 0.0051866258 0.0038899696 0.004353061 0.0037973511 0.0037047327 0.0037973511 6.28899 3.0 20.0 0.0 8.0 469872.0 471040.0 1.0 0.0 117.0 1.0 1.0 1.0 0.0 0.0 1543201400.0 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 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 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 5.0 1.0 193536.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193536.0 -3584.0 244224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7406106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9598532 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509344 -5.5316076 7.995726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193208.0 -3338.0 244000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 209384.0 244000.0 212992.0 0.0 0.0 15728.0 454144.0 8336.0 458752.0 84.0 29216.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8864.0 0.0 0.0 484.0 208896.0 0.0 0.0 0.0 0.0


Input: 0.013518615 0.0042522093 0.0040676612 0.003943896 0.0041476386 0.003875515 0.003835726 0.0038417242 0.0042852 0.0038617188 0.0038881113 0.0038369256 0.004029072 0.0038099333 0.0037307553 0.0041296436 0.0039746873 0.0037743433 0.0038061342 0.0038921102 0.003933299 0.0038613188 0.0037831408 0.0037845403 0.00385752 0.0037679449 0.0038547206 0.00374955 0.0038419242 0.0037869397 0.0037795417 0.0037589476 0.0040166755 0.0038029351 0.0038943095 0.0037513496 0.003913904 0.0037635462 0.0037875394 0.003789739 0.0038341265 0.0038761147 0.0037447514 0.0039067063 0.0038365258 0.0038657177 0.0037757428 0.003799736 0.003864718 0.0038829127 0.003931099 0.0040954533 0.0038923102 0.0038121326 0.003839325 0.0038423243 0.0038867118 0.0038987084 0.003839525 0.003996281 0.0038443236 0.003828528 0.0038305274 0.0038339265 0.0040708603 0.004186228 0.0044445554 0.0038641181 0.0038541208 0.0041664336 0.0038765145 0.0038139322 0.0038723159 0.0038197304 0.003753549 0.0037757428 0.0037903388 0.004045667 0.0038621186 0.0038029351 0.004058064 0.0038955093 0.0038417242 0.003885312 0.0038589195 0.0039548925 0.0039269007 0.0038547206 0.003814132 0.0038411245 0.003739553 0.0038029351 0.0037445514 0.003925501 0.0039061063 0.0038007358 0.0037587476 0.0038813131 0.0038029351 0.0037949374 0.003860519 0.0040228735 0.003814132 0.0037667453 0.0039484943 0.0039047068 0.0039410964 0.0037185587 0.0039362977 0.0038243292 0.0039187027 0.0039199023 0.003906506 0.003731755 0.0040352703 0.0038779143 0.0043001957 0.0042732037 0.0038549206 0.0038441236 0.0038333267 0.003781941 0.0037993363 0.0037635462 0.003792938 0.0038463231 0.0038699163 0.0037903388 0.0040584635 0.0038169313 0.0038049347 0.004081257 0.0038837125 0.004252809 0.0037801415 0.0037459512 0.0038487224 0.0041906266 0.003849722 0.0050265924 0.0037845403 0.004164434 0.003743152 0.0036829687 0.003875315 0.0037827408 0.0037487503 0.0038423243 0.003775143 0.003807134 0.0037827408 0.0037763426 0.0037621467 0.0037521494 0.0037327548 0.0037509496 0.0037451515 0.0037681449 0.0037331546 0.0037841403 0.0038137322 0.0038157315 0.0037901388 0.0038207301 0.0038361258 0.0037629465 0.0036993641 0.0037599471 0.00374955 0.0037225578 0.0037491503 0.0036987644 0.0037909385 0.003724557 0.003743552 0.003731755 0.00382153 0.0037235573 0.0037577478 0.003717959 0.0037871397 0.0037799417 0.0038559204 0.0037695444 0.0038537208 0.0037941376 0.003760747 0.0038311272 0.003817931 0.0038371256 0.0038131324 0.0038347263 0.0041476386 0.0039131045 0.0039524934 0.0038519215 0.0038653177 0.0037445514 0.0038151317 0.003828328 0.003850322 0.0038845122 0.0037481505 0.0037919383 0.0038329267 0.0036527773 0.0037527492 0.003753549 0.0038391252 0.0037325548 0.003803735 0.0037931378 0.0037605471 0.0037237573 0.003739553 0.0037515496 0.0038391252 0.0037557485 0.003725157 0.0038225297 0.0038519215 0.0038435238 0.0038117326 0.0038111329 0.00389331 0.0037721437 0.0038021354 0.0037103612 0.0038293279 0.0038477227 0.0037217578 0.0037145598 0.004543128 0.003900308 0.0037519494 0.0038695165 0.0039562923 0.0037423521 0.003803935 0.0037841403 0.0039440957 0.0037507499 0.0037783422 0.0037229576 0.0037839406 0.003707162 0.0038415245 0.0038209301 0.003900308 0.0037147598 0.0037549485 0.003742952 0.0040050787 0.0037577478 0.0039297 0.007407126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018149303 6.999731e-07 6.999731e-07 4.999808e-07 5.599785e-06 1.1999539e-06 1.5999385e-06 2.1999156e-06 2.3999078e-06 2.9998847e-07 6.999731e-07 2.7998924e-06 9.999616e-08 1.3999462e-06 1.899927e-06 1.1999539e-06 0.00016969348 1.0999578e-06 3.6998579e-06 2.3999078e-06 3.9998463e-06 2.499904e-06 9.499635e-06 3.89985e-06 2.6998964e-06 6.999731e-07 7.9996926e-07 7.9996926e-07 7.9996926e-07 4.999808e-07 4.999808e-07 1.1999539e-06 0.0001667936 5.4997886e-06 5.8997734e-06 4.999808e-07 6.9997313e-06 2.6998964e-06 3.099881e-06 3.199877e-06 4.999808e-07 1.9999231e-07 1.0999578e-06 2.7998924e-06 1.9999231e-07 1.9999231e-06 1.9999231e-06 1.2999501e-06 0.00027228953 6.099766e-06 3.099881e-05 7.9996926e-07 1.5799393e-05 4.0998425e-06 4.3298336e-05 2.2899121e-05 2.5999002e-06 9.999616e-07 2.9998848e-06 8.999654e-07 9.999616e-07 1.5999385e-06 9.999616e-07 2.1999156e-06 0.0019433254 2.7398948e-05 0.000102396065 3.5498637e-05 0.00027238953 3.3198725e-05 0.00021409178 0.0001248952 1.3499482e-05 5.0898045e-05 8.199685e-06 9.199647e-06 2.7498943e-05 4.399831e-05 9.099651e-06 0.000156294 0.0010881582 2.679897e-05 5.7097808e-05 3.7898546e-05 0.00016019384 4.94981e-05 0.00011879544 7.779701e-05 1.47994315e-05 3.11988e-05 9.299642e-06 8.199685e-06 2.0399217e-05 3.3198725e-05 1.0399601e-05 9.939618e-05 0.0009958617 7.259721e-05 0.00010789586 5.4197917e-05 0.00019289259 6.809738e-05 0.00038708514 0.00021009194 2.969886e-05 1.5499405e-05 1.3199493e-05 1.3099497e-05 1.7899312e-05 1.2799508e-05 1.0699589e-05 5.109804e-05 0.0008099689 4.059844e-05 0.00013419485 0.000101696096 0.00023489098 6.899735e-05 0.00040438448 0.00022769126 2.3199109e-05 2.1499174e-05 1.979924e-05 3.279874e-05 1.1299566e-05 9.89962e-06 2.4699051e-05 8.7096654e-05 0.0007159725 0.000110095774 0.000105595944 0.00091336493 0.0001717934 8.159687e-05 0.00017239338 0.00013989463 0.00010429599 7.129726e-05 7.2997194e-05 8.819661e-05 8.05969e-05 7.0197304e-05 7.609708e-05 9.749625e-05 0.00038208533 3.599862e-05 3.8898506e-05 9.329642e-05 9.12965e-05 5.1498024e-05 0.000109195804 5.5597866e-05 0.00016569364 8.439676e-05 4.4198303e-05 8.379678e-05 4.9598097e-05 2.239914e-05 6.979732e-05 0.00046538212 0.003594462 0.00075587095 0.00050308066 0.00084476755 0.0013554479 0.0010347603 0.00044888275 0.0009615631 0.0023385102 0.0003255875 0.00020019231 0.0004295835 0.0010537595 0.0003331872 0.0010227608 0.0024097075 0.0021731167 0.0005575786 0.0003777855 0.00058727746 0.00080106925 0.00077397027 0.00043548326 0.0007394716 0.00129925 0.00026158994 0.00028988888 0.0002992885 0.00063587556 0.00033528713 0.0007380717 0.0017777317 0.060493577 0.05957081 0.0598953 0.059451416 0.059691407 0.05968361 0.059469316 0.059735507 0.059722207 0.059559714 0.05955161 0.059786804 0.059490617 0.059741706 0.05968291 0.05941922 23300.0 6.049313 140949.0 0.012692534 0.010180987 0.010450589 0.009230289 0.010365452 0.009492795 0.009421848 0.009464417 0.010301598 0.010088756 0.009003256 0.0095495535 0.010202272 0.010301598 0.0102945035 0.009400563 0.010890464 0.010273219 0.010514441 0.009691449 0.010897559 0.010592484 0.01040802 0.010500252 0.010549915 0.011238107 0.010684716 0.010386735 0.010606674 0.010741474 0.010514441 0.010940127 0.012266848 0.0108053265 0.009883007 0.010996886 0.010159703 0.009968145 0.010081661 0.009890102 0.01011004 0.010046187 0.009357994 0.009443132 0.010663431 0.00963469 0.010081661 0.009457322 0.010656336 0.009897197 0.01055701 0.010478968 0.010244841 0.0103725465 0.01011004 0.009890102 0.01069181 0.00981206 0.009329616 0.009443132 0.009365089 0.009379279 0.009372184 0.009641785 0.009819155 0.012529355 0.0105711995 0.01159994 0.0111174965 0.015502061 0.010230651 0.0100603765 0.010663431 0.012259753 0.009804965 0.0099042915 0.012323607 0.01085499 0.01191211 0.012238469 0.01039383 0.00933671 0.01343039 0.012103668 0.014359804 0.010599579 0.010223556 0.009911386 0.010400925 0.009826249 0.009698544 0.009343805 0.009883007 0.00906711 0.0090812985 0.008989067 6.5774603 0.0 0.0 0.0 63.0 5001400.0 299008.0 0.0 0.0 136.0 1.0 1.0 0.0 0.0 0.0 1457434000.0 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 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 118784.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43520.0 0.0 0.0 0.0 0.0 0.0 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 -118784.0 0.0 90624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.476339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.458941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9669142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5681186 0.0 7.4018226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43222.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118678.0 0.0 90296.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 163012.0 90296.0 192512.0 0.0 0.0 24504.0 67669880.0 9324.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 145632.0 0.0 0.0 560.0 122880.0 0.0 0.0 0.0 0.0


Input: 0.16470672 0.011643683 0.0057965913 0.0066332547 0.0066830725 0.008410312 0.0057863547 0.004836407 0.009160989 0.0040441016 0.0046316767 0.0042802235 0.0037588445 0.0038734933 0.0032019785 0.011558378 0.008475143 0.0067588226 0.0051899077 0.0033173098 0.002966539 0.0029924714 0.0016473947 0.0017811517 0.004074811 0.0036871887 0.0015286513 0.0015907527 0.0018528072 0.0016726448 0.001469962 0.002019321 0.009407347 0.0018807871 0.0020479832 0.00151705 0.015568358 0.0014515363 0.0012884346 0.0014194619 0.0040379595 0.0014474416 0.0013246037 0.002247254 0.0014958945 0.0016535367 0.0014692795 0.0012918469 0.005681942 0.001408543 0.0017975301 0.0059126047 0.0023680446 0.0014931647 0.0014419822 0.0012911644 0.003725405 0.0018596316 0.0014317457 0.0036046144 0.0018268748 0.0015416176 0.0013641848 0.00182551 0.007233796 0.008937833 0.0022042606 0.0028512077 0.008122325 0.0057576923 0.0017224625 0.0019538074 0.053872675 0.006972424 0.0016378406 0.002071186 0.009169861 0.00439419 0.0016426177 0.0016419353 0.0048575625 0.001737476 0.0017163205 0.0020793753 0.0027331465 0.0026553492 0.002301166 0.0026225923 0.002741336 0.0013184617 0.0013621375 0.0019606317 0.003756797 0.0019899765 0.0019647265 0.002878505 0.0033029786 0.0022690918 0.001578469 0.0023823758 0.0029269578 0.0028778226 0.0033336882 0.001460408 0.0025577613 0.002039794 0.0013525834 0.0015327459 0.0026212274 0.0016412529 0.0020015778 0.0023373351 0.0038380066 0.001336205 0.0030907418 0.0026717277 0.008081378 0.005357104 0.0015648203 0.0016583137 0.0027140386 0.0018971654 0.0014419822 0.0015579959 0.0025563964 0.0018958006 0.0014986242 0.0018016248 0.004038642 0.0025120382 0.001347124 0.009296111 0.0036489726 0.0059972266 0.0013846578 0.0016508069 0.003377364 0.014894114 0.0022970715 0.02839265 0.001768868 0.011322256 0.0014460768 0.0014447119 0.0038878242 0.0012938941 0.0013682793 0.0020534426 0.0018261924 0.0013996713 0.0012427116 0.0013907996 0.0019005776 0.0012693265 0.0011628668 0.0011239682 0.0018186856 0.0012031305 0.0011724209 0.0012693265 0.0024765516 0.0013348402 0.0012652319 0.0012372521 0.0013860227 0.0013143672 0.0013109549 0.0013955767 0.0023366527 0.0013819281 0.001449489 0.001270009 0.001340982 0.0012515832 0.0012706914 0.0014645025 0.0026403356 0.0012911644 0.0013402996 0.0012468062 0.001347124 0.0012229211 0.0022561254 0.0022738688 0.0027522547 0.0018248275 0.0018227802 0.0013996713 0.0014808809 0.001243394 0.001372374 0.0014174146 0.007065918 0.0036974254 0.0023032133 0.0045818593 0.0038571148 0.0013914822 0.0029822348 0.0045743524 0.003257938 0.0029992957 0.0017163205 0.0023912473 0.016896375 0.0013491713 0.001896483 0.002250666 0.003462668 0.0019456182 0.0026130383 0.0015975771 0.0013867051 0.0012727387 0.0015463945 0.0017429354 0.0030634445 0.0018780573 0.0014372052 0.0016862935 0.0013054955 0.0011887994 0.001372374 0.001459043 0.0031118973 0.0014256039 0.0014078605 0.0013962592 0.0014972594 0.0011942588 0.0012331576 0.0013048131 0.011394594 0.0033971546 0.0016910705 0.0035814117 0.003330276 0.0014235565 0.0012454414 0.0015382053 0.0033835059 0.0015409351 0.0015866582 0.0014999891 0.0015484418 0.0016057662 0.0022704566 0.0019463006 0.003330276 0.002477234 0.002404896 0.0016207799 0.0020984833 0.002154443 0.0031801406 0.028194744 0.002797203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006641308 6.8291083e-06 4.097465e-06 6.8291087e-07 1.0243663e-06 3.7560096e-06 1.3658217e-06 1.7072771e-06 3.0730987e-06 2.390188e-06 1.7072771e-06 3.4145543e-07 6.8291087e-07 1.3658217e-06 0.0 6.1461974e-06 0.0006487653 1.7072771e-06 2.0487325e-06 1.7072771e-06 1.7072771e-06 2.0487325e-06 1.3658217e-06 1.7072771e-06 9.560752e-06 1.9804414e-05 6.8291087e-07 1.7072771e-06 1.3658217e-06 1.7072771e-06 1.0243663e-06 2.390188e-06 0.0012275323 3.721864e-05 2.5950612e-05 5.804742e-06 1.5365495e-05 1.0585118e-05 9.560752e-06 7.170564e-06 9.902207e-06 6.8291083e-06 5.463287e-06 7.853475e-06 5.463287e-06 8.19493e-06 7.853475e-06 7.853475e-06 0.007527043 0.00015672804 6.5900895e-05 3.960883e-05 9.185151e-05 4.336484e-05 4.8828126e-05 6.9656904e-05 0.000110631554 0.00017072771 0.00020350743 0.00014238691 3.8243008e-05 7.307146e-05 3.892592e-05 0.0002704327 0.010007717 0.0003499918 0.00027453015 8.365658e-05 0.0001324847 9.868062e-05 0.00019667832 0.00014477709 0.00015638658 0.00016355714 0.00013385052 0.00012019231 0.00017345935 0.00014136254 5.4632867e-05 0.0003554551 0.015247009 0.0010981206 0.0011664117 0.00021136091 0.0004104294 0.0002926273 0.00081710285 0.0005214024 0.00013146034 0.00043023383 0.000113363196 9.526606e-05 0.00012599704 9.868062e-05 9.9363526e-05 0.00012019231 0.017749535 0.0016656196 0.0014368444 0.00029809057 0.0004059905 0.00033735795 0.0017287888 0.0009260271 0.00030526114 0.00049033 0.00018131283 0.00014989893 0.00022433621 0.00023765297 0.00019872705 0.00023765297 0.008606384 0.0010745602 0.00059105933 0.00035169907 0.0002335555 0.0002465308 0.0011076814 0.0007074956 0.00015228911 0.00018336155 0.00012975305 9.458315e-05 0.00010107081 9.6631884e-05 0.00015228911 0.0008563702 0.032266513 0.0046325256 0.0018230305 0.0015922067 0.0016171329 0.0017086429 0.0029880763 0.0021491204 0.0009987571 0.00072251965 0.0004916958 0.00049033 0.00065422856 0.0005483774 0.0007013494 0.005356753 0.017224036 0.0027039854 0.0011384124 0.0019080528 0.0019507348 0.001360017 0.0028456894 0.0017646416 0.0008164199 0.0005313046 0.0006183758 0.0004602819 0.0005224268 0.0004182829 0.00061632704 0.0035825502 0.015559099 0.003721864 0.0013084571 0.0012323126 0.0020920974 0.0011469488 0.0017246914 0.0013303104 0.001467234 0.0008433949 0.0020839025 0.0009284173 0.0012008987 0.0009048569 0.0010393903 0.0011783626 0.026827129 0.0067655975 0.0030546603 0.0026186216 0.0112861255 0.0025291604 0.0023253113 0.0030481725 0.008962863 0.0018629808 0.0016096209 0.0018855168 0.0044577005 0.0019073699 0.002795154 0.0033787014 0.07792764 0.013395637 0.021774953 0.014228789 0.07936926 0.015005259 0.0070032505 0.015926164 0.060746286 0.005347533 0.0033390925 0.0072791465 0.037775554 0.009221003 0.017821241 0.0271259 0.009882403 0.0016830338 0.0029791985 0.0021194138 0.008937255 0.0019930752 0.0015689876 0.0024793078 0.007180466 0.0008655895 0.0008208588 0.0013927966 0.0043624346 0.0016362544 0.0027883248 0.0045553567 0.014665169 0.0137374345 0.013916016 0.013884943 0.013703972 0.013899626 0.013839871 0.013880504 0.013814262 0.013739483 0.013753824 0.013880504 0.013592316 0.013668119 0.013871968 0.013830311 5513.0 9.305097 51299.0 0.021715824 0.0025731495 0.004269089 0.0026316303 0.031657536 0.0026121368 0.002202772 0.0031189693 0.006374393 0.0026901108 0.0021442913 0.004230102 0.003255424 0.0028265659 0.0069786934 0.0028070724 0.012202967 0.0043860506 0.005419209 0.016179653 0.005360728 0.0058870544 0.004308076 0.003352892 0.008928049 0.00810932 0.0035478275 0.0069007194 0.0057895863 0.0022807461 0.003255424 0.009551843 0.034893468 0.060722433 0.0037232696 0.0075050197 0.01797306 0.010585002 0.0055556637 0.004756428 0.039045595 0.0059260414 0.002729098 0.003528334 0.014425232 0.0036258018 0.0038987114 0.0028460594 0.008772101 0.003567321 0.004093647 0.0092009595 0.010799431 0.014737129 0.026004406 0.020507222 0.004347063 0.003216437 0.004269089 0.0051268055 0.010643482 0.010468041 0.016666992 0.026745161 0.0050488315 0.024249986 0.009571336 0.01885027 0.015185481 0.037739526 0.016452562 0.007427045 0.0063938866 0.019630013 0.0039376984 0.0051657925 0.019279128 0.008596659 0.018421412 0.024756817 0.011735122 0.0026511238 0.023587205 0.018674828 0.035907134 0.014093842 0.006549835 0.004892883 0.0061794575 0.006335406 0.003255424 0.0024951755 0.004717441 0.0033723854 0.0029240337 0.0034698532 6.051592 0.0 2.0 0.0 17.0 1465344.0 1515520.0 1.0 0.0 220.0 1.0 1.0 0.0 0.0 0.0 1541792900.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 2.0 5.0 2.0 1151488.0 4096.0 4096.0 11.0 0.0 0.0 2.0 5.0 986112.0 0.0 119296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71168.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 41984.0 50688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 5632.0 0.0 0.0 -1.7951636 0.0 7.162554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.873734 0.0 0.0 0.0 0.0 7.9775276 0.0 0.0 0.0 0.0 0.0 0.0 6.046824 6.671621 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11.03817 0.0 0.0 0.0 4.5552454 0.0 0.0 987468.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70762.0 0.0 0.0 0.0 0.0 19880.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159352.0 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 -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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -2.0 1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -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 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 -2.0 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 -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 -2.0 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 1.0 0.0 2.0 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 2.0 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 2.0 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 -2.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 -2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 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 -2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 -2.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 2.0 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 2180.0 230160.0 180.0 1453364.0 436.0 266240.0 49524.0 1400832.0 0.0 0.0 5000.0 1392640.0 56.0 164832.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 211264.0 0.0 0.0 760.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.41278872 0.025390625 0.022503396 0.008576767 0.019955842 0.010190218 0.010954483 0.0078125 0.003396739 0.0022078804 0.023352582 0.0028872283 0.0034816577 0.0044157607 0.0022927988 0.0017832881 0.0028872283 0.0073879077 0.0029721467 0.0059442935 0.0016983695 0.0016983695 0.004840353 0.0039911685 0.0033118206 0.0012737772 0.0017832881 0.00067934784 0.0017832881 0.0027173914 0.00084918475 0.0039911685 0.012228261 0.002122962 0.0016983695 0.005519701 0.0010190217 0.0028872283 0.0011888586 0.0011888586 0.004500679 0.0010190217 0.0016983695 0.0017832881 0.0035665762 0.0011039402 0.006623641 0.0013586957 0.006453804 0.0028023098 0.0035665762 0.0030570652 0.002462636 0.0022078804 0.00084918475 0.0009341033 0.0014436141 0.0011039402 0.0005944293 0.00050951086 0.00050951086 0.00042459238 0.0005944293 0.0014436141 0.004076087 0.0056046196 0.0029721467 0.005519701 0.0033118206 0.0013586957 0.0020380435 0.0015285326 0.0010190217 0.00390625 0.00067934784 0.00042459238 0.0011888586 0.001953125 0.0013586957 0.0011888586 0.0022927988 0.0015285326 0.0033118206 0.0057744565 0.0022078804 0.00084918475 0.0015285326 0.00025475543 0.001613451 0.0012737772 0.002462636 0.0011888586 0.0009341033 8.491848e-05 0.00016983696 0.004670516 0.0005944293 0.0088315215 0.005095109 0.004245924 0.0062839673 0.019701088 0.0013586957 0.004076087 0.0017832881 0.012567935 0.00025475543 0.0011888586 0.009935462 0.008067256 0.010444973 0.026579484 0.007897419 0.00025475543 0.015285326 0.015879756 0.015709918 0.006623641 0.0005944293 0.0013586957 0.0016983695 0.0036514946 0.0009341033 0.01171875 8.491848e-05 0.0016983695 0.00025475543 8.491848e-05 0.001953125 0.0013586957 0.00016983696 0.0 0.00016983696 0.00016983696 0.00033967392 0.00084918475 0.0005944293 0.00050951086 0.00025475543 8.491848e-05 0.00033967392 0.0012737772 0.00067934784 8.491848e-05 0.00042459238 0.001953125 0.0 0.0 0.0 0.00042459238 0.00033967392 0.00042459238 0.0 0.00025475543 0.00016983696 0.00033967392 0.0018682065 0.00033967392 0.0005944293 0.00067934784 0.00025475543 0.0007642663 8.491848e-05 0.0 0.00025475543 0.00016983696 0.00025475543 8.491848e-05 0.00067934784 0.00025475543 0.0005944293 0.0 0.00016983696 0.00033967392 0.00016983696 0.00016983696 0.00033967392 0.00016983696 0.0 0.0013586957 0.00025475543 0.00033967392 8.491848e-05 0.00025475543 0.00025475543 0.00016983696 0.00016983696 0.00025475543 0.00016983696 0.00016983696 0.00025475543 8.491848e-05 0.00025475543 8.491848e-05 8.491848e-05 8.491848e-05 0.00016983696 8.491848e-05 0.00016983696 0.00016983696 0.00042459238 0.00016983696 8.491848e-05 0.00016983696 0.0 0.00033967392 8.491848e-05 0.0 8.491848e-05 0.00016983696 0.00016983696 8.491848e-05 0.00042459238 8.491848e-05 8.491848e-05 0.00016983696 0.00016983696 0.0007642663 0.0 0.0 0.00025475543 0.0 0.00033967392 0.00042459238 0.00033967392 0.0012737772 8.491848e-05 8.491848e-05 0.0 0.00033967392 8.491848e-05 0.00025475543 0.00016983696 0.00016983696 0.00016983696 0.00016983696 8.491848e-05 8.491848e-05 8.491848e-05 0.00016983696 0.00016983696 0.00025475543 8.491848e-05 0.0 0.00016983696 8.491848e-05 0.00025475543 0.0 0.0 0.00025475543 8.491848e-05 0.00016983696 8.491848e-05 8.491848e-05 0.0022078804 0.00042459238 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.19404297 0.011035156 0.016552735 0.013671875 0.007373047 0.005419922 0.02109375 0.02470703 0.0008789062 0.0013183594 0.0004394531 0.0006347656 0.0005371094 0.0006347656 0.0005859375 0.0010742188 0.1284668 0.017480468 0.013525391 0.0032226562 0.0052734376 0.0045898436 0.00625 0.0058105467 0.0034179688 0.0031738281 0.0016113281 0.0016601563 0.0007324219 0.0013671875 0.0015136718 0.0019042969 0.12797852 0.017138671 0.01640625 0.008544922 0.015625 0.013623047 0.05595703 0.03515625 0.0022460937 0.003125 0.0009765625 0.00068359374 0.0005859375 0.00034179687 0.000390625 0.0012207031 0.074560545 0.0060546873 0.006298828 0.0052734376 0.012207031 0.009375 0.047802735 0.026904296 0.0029785156 0.0012207031 0.0015625 0.0016113281 0.00078125 0.0012695312 0.0014648438 0.0006347656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 145.0 14.75862 2140.0 0.0074766357 0.00046728973 0.0 0.0018691589 0.00046728973 0.0 0.0 0.0 0.0 0.0 0.00046728973 0.0 0.0023364485 0.0018691589 0.01915888 0.0 0.0126168225 0.0051401868 0.0074766357 0.006542056 0.003271028 0.0070093456 0.0018691589 0.0028037382 0.003271028 0.0028037382 0.00046728973 0.0 0.00046728973 0.0018691589 0.00046728973 0.0 0.00046728973 0.020093458 0.009345794 0.021962617 0.010747664 0.0037383179 0.006074766 0.0051401868 0.00093457947 0.0126168225 0.00046728973 0.00046728973 0.0037383179 0.006074766 0.003271028 0.0018691589 0.006074766 0.0 0.009813084 0.022429906 0.0074766357 0.0028037382 0.0051401868 0.00093457947 0.0 0.0 0.0 0.0 0.0042056073 0.0 0.0 0.020560747 0.00046728973 0.03551402 0.023364486 0.019626169 0.022897197 0.09018692 0.004672897 0.01728972 0.006074766 0.05373832 0.0014018691 0.004672897 0.03831776 0.03271028 0.045794394 0.062616825 0.018224299 0.0 0.04953271 0.05140187 0.077570096 0.03224299 0.0028037382 0.0056074765 0.006542056 0.01682243 0.003271028 0.0 0.0 0.0 0.0 0.0 5.194634 1.0 0.0 0.0 1.0 11776.0 40960.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1529098200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 9728.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.341332 0.0 3.1817238 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9388.0 0.0 904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 17492.0 904.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 28.0 17180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0