Input: 0.17247614 0.023045553 0.009387504 0.016004924 0.014581409 0.009502924 0.019198215 0.0048476453 0.0052323793 0.006001847 0.004693752 0.0052323793 0.0036164974 0.006540474 0.0035010772 0.0033087104 0.009195137 0.0019236688 0.0016158818 0.0061942134 0.0033856572 0.002462296 0.0031548168 0.0033471838 0.0020390889 0.0018851955 0.0020775623 0.0025007694 0.0016543552 0.006425054 0.0025777163 0.0039242846 0.015774084 0.0018467221 0.002462296 0.0016543552 0.0031932902 0.0025007694 0.0021160357 0.0033087104 0.002346876 0.0021929825 0.0033087104 0.0049630655 0.0013465682 0.0035010772 0.007848569 0.006348107 0.030701755 0.010695599 0.005617113 0.0043474915 0.0018082487 0.0042705447 0.0026161897 0.0021160357 0.0033087104 0.0030393968 0.0041551245 0.0031163434 0.0020390889 0.0018082487 0.0012696214 0.0018082487 0.0022314559 0.0038088642 0.0019236688 0.0044629117 0.0025777163 0.0042320713 0.0014619883 0.0020390889 0.0046552788 0.002462296 0.0010003077 0.0016928286 0.0023084027 0.0020390889 0.0025392429 0.0013850415 0.0026931365 0.0010003077 0.0018467221 0.008618036 0.0035395506 0.010195444 0.0025392429 0.0017697753 0.0019621423 0.0025392429 0.002770083 0.0011926746 0.0015774084 0.0022314559 0.0018851955 0.0023853492 0.0020775623 0.012042167 0.002154509 0.010503232 0.0042320713 0.014966143 0.0024238226 0.003770391 0.0056940597 0.009849184 0.0022314559 0.0023853492 0.005732533 0.010272391 0.0113111725 0.009156664 0.0063096336 0.0015004617 0.011349646 0.010849492 0.018197907 0.0066943676 0.0020006155 0.0034626038 0.0025777163 0.0058479533 0.0014619883 0.0011157279 0.0018082487 0.0020006155 0.0008464143 0.0013850415 0.0023084027 0.0021929825 0.006232687 0.0033471838 0.0024238226 0.0026931365 0.0075792554 0.00088488765 0.0012696214 0.0038473376 0.0011542013 0.0047706985 0.0013080948 0.0016928286 0.0010772545 0.0015774084 0.0009618344 0.0013080948 0.0012696214 0.0014235149 0.0012696214 0.0014619883 0.00092336105 0.0018851955 0.0009618344 0.0013465682 0.0010387811 0.0014235149 0.0010387811 0.0012696214 0.0007694675 0.0008464143 0.0031163434 0.001231148 0.0010387811 0.0019236688 0.0018467221 0.0013080948 0.0011542013 0.0011542013 0.0011157279 0.0014235149 0.0013080948 0.0008464143 0.001231148 0.0011926746 0.001538935 0.0013465682 0.0011542013 0.0013850415 0.0014235149 0.0008464143 0.0018082487 0.0007694675 0.0008464143 0.0013465682 0.0009618344 0.00092336105 0.0015004617 0.0015004617 0.001538935 0.0013850415 0.0011926746 0.0011926746 0.0036164974 0.0022314559 0.0016543552 0.003270237 0.0014619883 0.0011542013 0.0010387811 0.0020390889 0.0011926746 0.0019621423 0.0015774084 0.0010387811 0.0034241306 0.0010772545 0.0010003077 0.0016928286 0.0011926746 0.0014235149 0.0010003077 0.00088488765 0.0011157279 0.0013080948 0.0017697753 0.0018467221 0.00092336105 0.0011157279 0.001231148 0.001538935 0.0012696214 0.0011926746 0.0011157279 0.000615574 0.0013080948 0.0011926746 0.0011157279 0.0007694675 0.0016928286 0.0010772545 0.0015004617 0.0011926746 0.0050400123 0.0010387811 0.0013850415 0.0015774084 0.002154509 0.001231148 0.0016928286 0.001231148 0.0021929825 0.0007694675 0.0013850415 0.001538935 0.0016928286 0.0008079409 0.0013080948 0.003578024 0.0021160357 0.0010772545 0.00092336105 0.0010003077 0.0021929825 0.0018851955 0.0020006155 0.010503232 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027730307 0.00010172526 0.00059000653 0.0005289714 0.0013834635 0.0012613932 0.006184896 0.003194173 0.00012207031 6.1035156e-05 8.138021e-05 0.00010172526 0.00012207031 2.0345053e-05 8.138021e-05 0.00010172526 0.026509603 6.1035156e-05 0.0020751953 0.0013631185 0.0016276041 0.0005086263 0.0060017905 0.003092448 0.00010172526 4.0690105e-05 2.0345053e-05 0.00010172526 2.0345053e-05 0.0 4.0690105e-05 0.00010172526 0.026326498 0.0011800131 0.0034993489 0.00069173175 0.0014851888 0.0014851888 0.0026041667 0.0016479492 0.00018310547 0.00010172526 0.0002644857 0.00014241536 0.00024414062 0.00020345052 0.00018310547 0.0014241537 0.020609537 0.0005493164 0.002766927 0.0007324219 0.0017089844 0.0020141602 0.0072631836 0.0041503906 0.00010172526 6.1035156e-05 0.00016276042 6.1035156e-05 0.00020345052 0.00014241536 0.00010172526 0.0010375977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.058695477 0.005594889 0.00587972 0.009358724 0.0041097007 0.004374186 0.009969075 0.0068766274 0.0053100586 0.00069173175 0.0010579427 0.00091552734 0.004374186 0.0006713867 0.0026855469 0.004435221 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022338867 0.0048217773 0.0033772786 0.008748372 0.0032755535 0.0044962564 0.00583903 0.005065918 0.0059611 0.0013834635 0.0015055338 0.0016276041 0.0045572915 0.0008951823 0.0040283203 0.0054117837 0.12093099 0.04272461 0.04695638 0.062154133 0.02750651 0.035502117 0.07232666 0.053955078 0.03289795 0.016560873 0.019205729 0.016520182 0.019856771 0.01727295 0.017903646 0.022725424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 309.0 19.097088 5901.0 0.046941195 0.000847314 0.0022030165 0.0005083884 0.005083884 0.001694628 0.002541942 0.004067107 0.0035587188 0.0018640908 0.0010167768 0.0035587188 0.0013557024 0.011862396 0.028808676 0.022708016 0.05134723 0.02541942 0.014743264 0.0064395866 0.0038976446 0.011862396 0.0071174377 0.0018640908 0.0064395866 0.006609049 0.009489917 0.003389256 0.0045754956 0.0013557024 0.0022030165 0.0003389256 0.0018640908 0.009150991 0.0028808676 0.013387562 0.0027114048 0.001694628 0.0020335536 0.0032197933 0.0037281816 0.00423657 0.0006778512 0.0010167768 0.0011862396 0.0013557024 0.004067107 0.0011862396 0.003389256 0.0001694628 0.0027114048 0.022708016 0.011354008 0.0013557024 0.004067107 0.000847314 0.0022030165 0.0005083884 0.006947975 0.0010167768 0.0018640908 0.000847314 0.001694628 0.005761735 0.0011862396 0.042026777 0.006609049 0.04117946 0.011184545 0.055244874 0.003389256 0.012370785 0.014234875 0.03575665 0.0013557024 0.006609049 0.016437892 0.03745128 0.039993223 0.034062024 0.019827148 0.000847314 0.041348923 0.042026777 0.06456533 0.011862396 0.005253347 0.008981529 0.003389256 0.020505 0.0023724793 0.0005083884 0.0010167768 0.0001694628 0.0 0.0006778512 5.531429 0.0 41.0 0.0 2.0 25992.0 24576.0 1.0 5.0 22.0 1.0 1.0 1.0 0.0 0.0 1540360400.0 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 0.0 0.0 14.0 14.0 5.0 1.0 5.0 1.0 3584.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9784985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.513169 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.26546687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2499113 0.0 4.166037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3175.0 0.0 1416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188.0 9408.0 80.0 9596.0 1416.0 16384.0 0.0 0.0 16264.0 9728.0 300.0 20480.0 84.0 8352.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8440.0 0.0 0.0 100.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.4154686 0.026116408 0.013133838 0.015106873 0.01098323 0.007990792 0.0067740874 0.005596843 0.008714239 0.003262085 0.0029595527 0.007030582 0.0022887208 0.0019138441 0.0031502794 0.0027556724 0.0033541599 0.002650444 0.0018349227 0.0042288722 0.0019138441 0.0016507728 0.0021506085 0.0018809602 0.0026964815 0.0023610655 0.0011969747 0.0011246301 0.0016047353 0.0012956264 0.00079579087 0.0012693193 0.008904966 0.0012627426 0.0024531404 0.00082867476 0.0032489314 0.001552121 0.0007365998 0.0010588622 0.0016639263 0.000822098 0.00067083194 0.00034856956 0.00092732656 0.0044327523 0.008030253 0.0033541599 0.0027359421 0.0021440315 0.0018678067 0.0010325551 0.0036698454 0.0013745478 0.0031239723 0.00072344625 0.0015389675 0.0012627426 0.0025780993 0.0018283459 0.0012232818 0.0010062479 0.0009404801 0.00079579087 0.004906281 0.0047287075 0.0025254851 0.003900033 0.003498849 0.00578757 0.0013548175 0.0018612299 0.0050772773 0.0060703717 0.0010851694 0.0005984873 0.0038211115 0.0022492602 0.0026307136 0.0035054258 0.003867149 0.0009865176 0.0066228216 0.004235449 0.008391976 0.0021703388 0.004873397 0.0009667872 0.0018678067 0.0013745478 0.00051956595 0.00048668202 0.00048010523 0.00038803025 0.00035514633 0.017007563 0.0014863532 0.013179875 0.0026899045 0.0074383426 0.008293324 0.015698783 0.0031437026 0.0065373234 0.0031173956 0.014449194 0.00059191056 0.0010128247 0.0062742517 0.006767511 0.012094705 0.00783295 0.005840184 0.0002038803 0.011719829 0.00914173 0.017356133 0.0044656363 0.0015455442 0.004136797 0.002952976 0.0018941137 0.00088786584 0.0007629069 0.0004537981 0.00019072673 0.0003222624 0.00062479445 0.0017823084 0.00035514633 0.0006050641 0.0014863532 0.0009667872 0.0010917461 0.0006313713 0.00025649456 0.0003222624 0.0020256494 0.00024334101 0.0013350871 0.00043406774 0.0009536337 0.00034856956 0.00017757317 0.0029792832 0.0005392963 0.00023018743 0.00013811246 0.00041433738 0.00034199277 0.0003288392 0.00050641235 0.00027622492 0.00024334101 0.00022361065 0.00014468924 0.0006313713 0.00027622492 0.00042749094 0.0014468925 0.0007497534 0.00051956595 0.00034199277 0.0001249589 0.00048010523 0.00017757317 0.00027622492 0.00021703387 0.00048010523 0.00027622492 0.0002038803 0.00027622492 0.0003748767 0.00024334101 0.00029595528 0.00015126602 0.0007037159 0.00023018743 0.00023676422 0.00022361065 0.0003288392 0.00031568564 0.00038145346 0.00034199277 0.0006116409 0.00051956595 0.0003222624 0.00034856956 0.00046695166 0.00015126602 0.00034199277 0.00021703387 0.0017888852 0.0004077606 0.00033541597 0.0010785926 0.00071029266 0.00038803025 0.00025649456 0.00042091418 0.0007168694 0.00046037487 0.00027622492 0.00030910884 0.0003288392 0.00023676422 0.00030910884 0.00034199277 0.00075633015 0.00013811246 0.00040118382 0.00022361065 0.00035514633 0.0002038803 0.00040118382 0.00025649456 0.00030253205 0.00034856956 0.00028937848 0.00025649456 0.0002499178 0.00017757317 0.00030910884 0.00027622492 0.00071029266 0.00026964815 0.00023676422 0.00030253205 0.00034856956 0.00022361065 0.00021703387 0.00019730353 0.00092074974 0.0004998356 0.00023018743 0.00036172313 0.0005721802 0.00029595528 0.00014468924 0.0002038803 0.0009075962 0.00030253205 0.00043406774 0.00092074974 0.00039460705 0.00033541597 0.00026964815 0.00034856956 0.0006313713 0.00025649456 0.0004077606 0.0004537981 0.0005984873 0.00051956595 0.0014205853 0.024958896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01258902 0.00010297087 0.00011625744 7.6397744e-05 6.975447e-05 5.3146257e-05 8.968431e-05 3.653805e-05 8.304103e-05 3.9859693e-05 6.311118e-05 5.978954e-05 4.982462e-05 6.6432825e-05 3.653805e-05 7.30761e-05 0.023763021 0.00017272534 0.00018269026 0.000129544 5.64679e-05 9.964924e-05 0.00026240965 0.00018601191 0.00011957908 4.982462e-05 0.00024580144 6.311118e-05 9.3005954e-05 0.00011957908 0.000106292515 0.0015611714 0.1431561 0.0016840721 0.0031323077 0.0017206101 0.0012422937 0.0037268815 0.0046968004 0.003331606 0.0010396737 0.0019564466 0.00049492455 0.0006211469 0.00055803574 0.00042184844 0.000518176 0.0017671131 0.047386535 0.0022520728 0.0021623883 0.00032884246 0.00043845663 0.00089019985 0.0013087266 0.00076065585 0.000259088 0.00037202382 0.00019597683 0.00026905292 0.00038198874 0.00028566114 0.00026240965 0.0036704135 0.032794565 0.0016774288 0.0019796982 0.0013120483 0.0004118835 0.00026240965 0.0034644718 0.0017073236 0.00034545068 0.00018601191 0.00019265519 0.00017272534 0.00025576638 0.0001461522 0.00018933354 0.0025211256 0.056075945 0.0072079613 0.0037368464 0.0050522164 0.0027436756 0.0014415922 0.008147986 0.004005899 0.0013651946 0.0005015678 0.00018269026 0.00024912308 0.00038198874 0.0002923044 0.00034545068 0.003507653 0.036166027 0.001378481 0.0044676075 0.0017106452 0.0036637702 0.007403938 0.020644 0.011761932 0.0008868782 0.00032552084 0.00027569622 0.0003321641 0.000564679 0.00042184844 0.00047499468 0.004759912 0.035152927 0.0021324935 0.0033814306 0.0023484002 0.0027337107 0.0020793474 0.0077726403 0.0045008236 0.00068425806 0.0006543633 0.00068425806 0.0007075096 0.00094666774 0.0006543633 0.0006377551 0.009758982 0.066675305 0.0058726617 0.008506723 0.006284545 0.015628321 0.01483445 0.027313855 0.015126754 0.0013386214 0.0015877445 0.0013851244 0.0011061066 0.0012788319 0.0007041879 0.00069090136 0.0017338967 0.06869486 0.007915471 0.010346912 0.0073840083 0.020979486 0.020730363 0.032894213 0.017704347 0.0020195579 0.0017272534 0.0012854751 0.0013220132 0.0013286564 0.00082708866 0.0008403752 0.0012788319 0.0020959557 0.00012622237 0.00056135736 0.00047167303 0.000259088 0.00018269026 0.0013651946 0.0010562818 8.304103e-05 0.00010961416 5.978954e-05 0.000106292515 9.3005954e-05 5.978954e-05 6.311118e-05 0.00010961416 0.009659332 0.0014316273 0.0015213117 0.0010230655 0.004470929 0.0015943878 0.0006543633 0.0009665976 0.0041354434 0.0011957908 0.00014283057 0.00066764985 0.0019365168 0.0008470185 0.0014050542 0.002361687 0.0015744579 0.00029562606 0.000388632 0.00020594175 0.0009234162 0.00041520514 0.00013618729 0.00021258503 0.00075401255 0.00050488947 2.3251489e-05 8.304103e-05 0.0005414275 0.00014947385 0.00021590668 0.0003786671 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2947.0 13.581269 40024.0 0.02343594 0.00067459524 0.002498501 4.9970018e-05 0.0073455926 0.00047471517 9.9940036e-05 9.9940036e-05 0.0011493104 0.00094943034 7.495502e-05 9.9940036e-05 0.00087447534 0.01441635 0.024035579 0.011068359 0.0021237258 0.0020737557 0.0048221066 0.0021986808 0.010318808 0.0033729763 0.010243854 0.0016989806 0.002498501 0.002798321 0.002823306 2.4985009e-05 0.0012492505 0.002373576 0.00089946034 4.9970018e-05 0.00039976015 0.012317609 0.005921447 0.013292025 0.008744753 0.019313412 0.0038476915 0.005546672 0.0042724367 0.014541275 0.00087447534 0.00097441534 0.009969018 0.0068708775 0.008944633 0.01221767 0.0075704576 0.0002498501 0.017089747 0.01381671 0.029157506 0.006021387 0.016914852 0.0018239056 0.0018988607 0.003023186 0.00034979012 0.00017489506 0.00042474514 0.0002498501 0.00019988007 0.063586846 0.00022486509 0.04694683 0.0066959825 0.02568459 0.029682191 0.05581651 0.0089946035 0.022336598 0.009019588 0.052143715 0.0009994004 0.002573456 0.022236658 0.022786329 0.04334899 0.027558465 0.016365182 0.00014991005 0.04160004 0.02778333 0.06076354 0.013641815 0.0042224666 0.01436638 0.008694783 0.004997002 0.0023485909 0.00012492505 0.00019988007 0.00012492505 4.9970018e-05 0.0 5.5034456 1.0 0.0 0.0 10.0 152050.0 163840.0 0.0 0.0 54.0 0.0 1.0 0.0 1.0 1096.0 1540326000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 4.0 0.0 5.0 2.0 8192.0 1536.0 4096.0 18.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -8704.0 -6656.0 -45568.0 -512.0 0.0 0.0 0.0 12288.0 0.0 2560.0 0.0 0.0 -1024.0 0.0 1024.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 -2560.0 19968.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 -0.7220608 0.0 0.0 -4.091221 -5.6728973 -5.958238 -0.98938286 0.0 0.0 0.0 2.393652 0.0 4.7183228 0.0 0.0 -3.960154 0.0 3.950403 0.0 0.0 0.0 -1.5921348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6387295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.027417 -4.0387564 3.0661578 0.0 0.0 0.0 -1.6257216 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 -8165.0 -6442.0 -45247.0 -104.0 0.0 0.0 0.0 12167.0 0.0 2480.0 0.0 0.0 -528.0 0.0 612.0 0.0 0.0 0.0 -1472.0 0.0 0.0 0.0 0.0 0.0 2480.0 0.0 0.0 -168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7832.0 -2068.0 20880.0 0.0 0.0 0.0 -1024.0 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 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 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2068.0 32768.0 20880.0 45056.0 612.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 40992.0 0.0 0.0 0.0 0.0 448.0 33276.0 0.0 0.0 0.0 0.0


Input: 0.22552136 0.010310743 0.005070891 0.0054315478 0.0065915384 0.0031658192 0.0030635127 0.0023602843 0.008647487 0.0012922661 0.0014555431 0.0018063823 0.005578807 0.0017490286 0.0014534764 0.0055054356 0.0046885335 0.0013124173 0.0010814526 0.00104115 0.0022419603 0.0038488964 0.0013764881 0.00065569195 0.0020797164 0.0010075645 0.0009925802 0.000838087 0.003091931 0.0007647156 0.00060195517 0.001030816 0.0040648766 0.00064639136 0.0012695312 0.00078538357 0.0028211805 0.0008349868 0.0005337508 0.0006221065 0.0016772073 0.00074714783 0.00067532656 0.0023520172 0.001738178 0.000619523 0.0007435309 0.0005094659 0.0015004961 0.00202908 0.00069341104 0.005768436 0.0016720403 0.0012101107 0.00068721065 0.00053581764 0.0013062169 0.0035745287 0.00061125576 0.004290675 0.0013966394 0.0010489004 0.0010318494 0.0009884466 0.0032686426 0.0056284103 0.0033440806 0.003286727 0.0016534391 0.012063389 0.002775711 0.0042477883 0.002681155 0.0017857143 0.0013558201 0.0012912326 0.0017045924 0.0074203247 0.0016074529 0.0012839988 0.009245308 0.0032407406 0.0066401083 0.0041723503 0.0027354085 0.005502852 0.0065703536 0.0057932376 0.0017722801 0.0025509465 0.0009006076 0.001452443 0.001276765 0.004025091 0.0029431216 0.0021706556 0.0013062169 0.0014183407 0.0007921007 0.0010881696 0.0015020461 0.0030960648 0.001531498 0.0011641245 0.003746073 0.0012912326 0.005973049 0.0008349868 0.0019675926 0.0010881696 0.0015051464 0.0017149264 0.0026408522 0.0010199653 0.0021846064 0.0023819858 0.010639364 0.013897156 0.003159619 0.0016890914 0.0021727225 0.0012783151 0.0010726687 0.00088097306 0.0017996652 0.0041547827 0.0020249463 0.0012829654 0.0031999215 0.002280196 0.0014131737 0.009200872 0.0037708746 0.00854828 0.0027126735 0.0012044271 0.0020337303 0.013291584 0.0024760251 0.03734034 0.0022305928 0.011951782 0.0028899016 0.001063368 0.0039641205 0.0024558739 0.0024791253 0.0014999793 0.0020704158 0.0019608755 0.0008628886 0.0010364996 0.001546999 0.0015805844 0.0007326802 0.00083550345 0.0014328083 0.0008349868 0.0013868221 0.00082981976 0.001531498 0.001349103 0.0007517981 0.00082671957 0.0013899223 0.0032314402 0.00093419314 0.0008194858 0.0017454117 0.0007952009 0.00081380206 0.0006732598 0.0019216064 0.00088665675 0.0006045387 0.0009765625 0.0018751033 0.00084532076 0.0006376075 0.0011522404 0.0021334533 0.0017665963 0.0016720403 0.0013444527 0.0029250372 0.0010184152 0.0008592717 0.001037533 0.0016741072 0.0011093543 0.001990844 0.0011326058 0.008151455 0.00281033 0.0036406664 0.0030821138 0.0018229167 0.0011191716 0.0025220115 0.0029240039 0.0034903067 0.0024253887 0.0008814898 0.002071966 0.0036044973 0.0010013641 0.00333013 0.0018549521 0.0022481605 0.0011233052 0.0011155547 0.001349103 0.0017929481 0.0010700851 0.0011982267 0.0012824488 0.0029741237 0.0017262938 0.001505663 0.0020502645 0.0029854912 0.0018776868 0.0014855118 0.001473111 0.0032960277 0.0013330854 0.001447276 0.0013630539 0.0027865616 0.0014090402 0.0013418692 0.0014224744 0.02028408 0.004382647 0.0017299107 0.0051871487 0.007156808 0.0017252604 0.0019526083 0.0025705812 0.0058175223 0.0039295014 0.0067760004 0.0012617807 0.0022197422 0.0009424603 0.002629485 0.0018642526 0.003667018 0.0015966021 0.0012545469 0.0019867106 0.005772053 0.0018668361 0.0039300183 0.086229436 0.0068571335 8.271572e-06 4.911246e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1697325e-06 0.0010652234 0.0020006865 4.3167267e-05 1.3699791e-05 5.9451927e-06 2.843353e-06 2.067893e-06 2.5848663e-06 3.3603262e-06 1.0339465e-06 2.3263797e-06 3.4637207e-05 0.0 1.0339465e-06 0.0 1.5509198e-06 2.5848663e-06 0.001895741 1.2665845e-05 8.530059e-06 4.911246e-06 7.2376256e-06 4.135786e-06 7.2376256e-06 8.530059e-06 1.2148872e-05 1.9386498e-05 1.0339465e-06 0.0 2.5848664e-07 0.0 4.3942728e-06 0.00013131122 0.0013063914 1.8094064e-05 8.271572e-06 1.2924331e-06 7.754599e-07 1.5509198e-06 7.754599e-07 4.135786e-06 3.3603262e-06 2.3263797e-06 1.5509198e-06 3.1018396e-06 4.6527593e-06 3.8772996e-06 6.7206524e-06 0.00022126456 0.009015238 9.87419e-05 5.6608573e-05 4.5752135e-05 1.2407359e-05 7.728751e-05 7.16008e-05 4.3167267e-05 0.0003251762 0.00030061995 1.5250711e-05 1.6026172e-05 3.4637207e-05 1.0856438e-05 6.7465015e-05 0.004631822 0.0038904822 8.659302e-05 6.5397115e-05 1.5250711e-05 9.564005e-06 3.5671157e-05 1.7318604e-05 4.601062e-05 0.0019192633 0.0005740988 1.1114926e-05 0.000107788925 8.013086e-06 8.7885455e-06 0.000110373796 0.0010349805 0.01926811 0.0005490256 0.0003368081 0.0001819746 0.00022591732 0.00043425756 0.00014216764 0.0001238151 0.0014842303 0.00079898216 0.00017499545 0.00018688584 8.6334534e-05 9.2796705e-05 0.009009551 0.0055489326 0.029838404 0.0011872291 0.0010189543 0.00072944927 0.0010282599 0.0032758012 0.0007790787 0.00067180675 0.0010605707 0.001460191 0.0006066681 0.00065603905 0.00047975118 0.000821729 0.0019200387 0.010580375 0.020819806 0.00064621656 0.0013164724 0.0013493003 0.0016982572 0.001538771 0.0013040651 0.0015183504 0.0038661845 0.0020306709 0.00039781092 0.0005123205 0.00046553442 0.0020105091 0.0033169005 0.005382467 0.025364777 0.000560399 0.0006865405 0.00073953025 0.0021051152 0.0020368746 0.0054576867 0.0053747124 0.0037247923 0.0033207778 0.0022868311 0.0022888992 0.0019735454 0.0049427813 0.0029893978 0.009201866 0.017076662 0.0007951049 0.00054463133 0.00039987883 0.002533169 0.0011887801 0.002533169 0.002154486 0.0014950867 0.0016481108 0.001827242 0.0024119387 0.0020280862 0.0022423714 0.0012870049 0.004831632 0.016971458 0.0008550738 0.00096674 0.0010194713 0.007535919 0.0022227266 0.0030294633 0.0022418546 0.0012735636 0.0015041337 0.0008346533 0.0015211939 0.00075323007 0.000763828 0.00094425166 0.0015010319 0.013765964 0.0010197298 0.0009809568 0.0010393747 0.0065161893 0.0016682728 0.0016158 0.001973287 0.003037735 0.0017150588 0.0009985339 0.0018006179 0.0011608634 0.0010422181 0.0014283971 0.0036462124 0.054529823 0.0072081583 0.0053268927 0.008732713 0.011980597 0.01985901 0.0059392476 0.01466679 0.037848648 0.004406163 0.003910386 0.0060147257 0.014757778 0.004971732 0.016049435 0.038959365 0.0606787 0.01062044 0.007505418 0.011297158 0.018259237 0.02729619 0.007836539 0.02207114 0.046036985 0.0050322176 0.006777261 0.0064833616 0.019974038 0.00911915 0.019529957 0.04228686 0.0055060238 0.0029472646 0.0018021688 0.002795533 0.0035058542 0.0013787677 0.0012880389 0.0013963447 0.0035534156 0.00269524 0.0013805771 0.0011781821 0.003009043 0.0012329812 0.0027415091 0.0027632222 2907.0 17.172688 49921.0 0.008573546 0.0032851906 0.002403798 0.003385349 0.020352157 0.0059494 0.0015624687 0.0025840828 0.0029246209 0.0059894635 0.006710603 0.0050479756 0.023276778 0.0014623104 0.009174496 0.0040263617 0.0049077542 0.0056889886 0.004587248 0.0050680074 0.024098074 0.0005208229 0.0009214559 0.00074117107 0.002123355 0.010957313 0.004447026 0.004507121 0.012219306 0.0015224054 0.017748041 0.009875603 0.022555638 0.022595702 0.0074317423 0.034694817 0.0074918373 0.0057090204 0.010356363 0.024939405 0.0066705393 0.014342661 0.0013621522 0.0015624687 0.00412652 0.02247551 0.0023837665 0.012339496 0.020492379 0.004527153 0.0053484505 0.01225937 0.015484465 0.00412652 0.016826587 0.0222151 0.0027843993 0.0013821839 0.011518199 0.002003165 0.0013821839 0.016245669 0.004306805 0.0054686405 0.0025840828 0.029326336 0.006690571 0.018068548 0.015845034 0.04116504 0.0029045893 0.016566174 0.007832375 0.019490795 0.014883516 0.002804431 0.022114942 0.008212976 0.023997916 0.030307887 0.010857155 0.001081709 0.03643757 0.013301016 0.041205104 0.012880351 0.0069509824 0.007211394 0.0059494 0.009975762 0.01261994 0.0011818673 0.00412652 0.0032851906 0.0040263617 0.00206326 6.0518823 1.0 0.0 0.0 5.0 1935360.0 2019328.0 1.0 0.0 546.0 0.0 1.0 0.0 0.0 0.0 1351244700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1201664.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 263680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1201664.0 0.0 441856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.005303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.616713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6132793 0.0 4.819992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 263486.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1201253.0 0.0 441480.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 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 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 1459616.0 441480.0 1576960.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 1211536.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1375888.0 0.0 0.0 2248.0 1208320.0 0.0 0.0 0.0 0.0


Input: 0.4459021 0.025749926 0.0024690449 0.0027454305 0.001768868 0.004532724 0.0022110848 0.0026717277 0.00079230545 0.0006725383 0.0027270047 0.0015846109 0.00058962265 0.00045142983 0.0009857754 0.00019346992 0.0014924823 0.0010594781 0.00060804834 0.0009765625 0.000442217 0.00043300414 0.0011976709 0.00031323702 0.0012437353 8.2915685e-05 0.00014740566 0.00012897995 0.00030402417 0.000755454 0.0001197671 0.0001197671 0.0025795992 0.0012897996 0.0012345224 0.001004201 0.00011055425 0.0010502653 0.0015477594 0.0001197671 0.0018425707 0.00014740566 0.0018241451 0.0019346992 0.0003408756 0.0010871168 0.0012437353 0.0011884582 0.0019254865 0.0017135908 0.00014740566 0.0007646669 0.00020268279 0.00070017687 0.00019346992 0.001326651 0.00012897995 0.00081994396 0.0001381928 9.212854e-05 0.00018425708 0.0009581368 0.00016583137 0.00014740566 0.00082915684 0.0014095666 0.00092128536 0.0013819281 0.0022295106 0.0011700324 0.0019807636 0.00092128536 0.00092128536 0.001004201 0.00094892393 0.0011055424 0.0017043779 0.0021742336 0.0013635023 0.0014372052 0.0010871168 0.0009581368 0.0014372052 0.0013450766 0.0011884582 0.00090285967 0.001391141 0.0011700324 0.001133181 0.0014003537 0.0009581368 5.5277123e-05 0.00017504422 0.0026625148 9.212854e-05 0.00019346992 6.448998e-05 0.0012897996 0.00059883547 0.0008567954 0.0024229805 0.004892025 0.0016122494 0.0005435584 0.004044443 0.0016583137 0.0015938237 0.00028559848 0.004026017 0.0010779039 0.0033811172 0.0024045547 0.0060804836 8.2915685e-05 0.011322597 0.0024321934 0.0020452535 0.003150796 0.00035008843 0.0025980247 0.00020268279 0.0021558078 4.606427e-05 0.0019162736 5.5277123e-05 0.0006172612 0.0014740566 4.606427e-05 0.000377727 0.0009397111 0.00046985556 0.00048828125 0.00042379127 0.0012253096 0.0014924823 0.00030402417 0.0005527712 0.0012345224 0.00043300414 0.0005527712 0.10015293 0.0014372052 0.00057119696 0.013828494 0.00052513264 0.009083874 0.00042379127 0.0047906837 0.000377727 0.010686911 0.00059883547 0.0054632225 0.0005435584 0.008291569 0.00057119696 0.005039431 2.7638562e-05 0.0008936468 0.005481648 1.8425708e-05 0.004339254 0.00093049824 0.007121536 9.212854e-05 0.0023584906 0.00080151827 0.0045142984 2.7638562e-05 0.003150796 0.0010871168 2.7638562e-05 0.004339254 9.212854e-06 0.0015938237 2.7638562e-05 0.010161778 4.606427e-05 0.0059422906 5.5277123e-05 0.0029204746 7.370283e-05 0.002828346 1.8425708e-05 4.606427e-05 0.0044405954 0.00046985556 0.0036482902 4.606427e-05 0.005426371 0.00079230545 0.003215286 1.8425708e-05 0.0055922023 5.5277123e-05 0.0042471257 5.5277123e-05 3.6851416e-05 0.00019346992 3.6851416e-05 1.8425708e-05 3.6851416e-05 6.448998e-05 4.606427e-05 4.606427e-05 0.00010134139 1.8425708e-05 2.7638562e-05 1.8425708e-05 4.606427e-05 0.005030218 2.7638562e-05 9.212854e-06 0.005223688 1.8425708e-05 0.005785672 9.212854e-06 0.0031784344 5.5277123e-05 0.003031029 1.8425708e-05 0.0021189563 9.212854e-06 0.009995947 0.0 7.370283e-05 0.005629054 0.0 0.0040628687 0.0063752946 0.006734596 1.8425708e-05 0.0030402418 2.7638562e-05 0.0067253835 0.00020268279 0.0047630453 4.606427e-05 2.7638562e-05 0.0035193102 0.0012437353 0.0066516805 1.8425708e-05 0.0041734227 9.212854e-06 0.0021005305 2.7638562e-05 0.002653302 1.8425708e-05 0.0029573261 9.212854e-06 0.0021834464 3.6851416e-05 0.00015661851 0.0036206516 0.0001197671 0.0031415832 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004771205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004738653 4.650298e-06 4.650298e-06 0.0 0.0 4.650298e-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 0.019131325 1.8601191e-05 0.0022786458 0.0021623883 0.008072916 0.0060732886 6.975447e-05 0.00022786458 4.185268e-05 4.650298e-06 9.300596e-06 0.0 0.0 0.0 4.650298e-06 0.0 0.024874441 4.6502977e-05 0.0015718006 0.00073474704 0.0031947545 0.0017159599 0.0017066592 0.0012555803 0.009723772 0.00086030504 0.00042782738 0.00037202382 8.370536e-05 0.00051153277 0.0002511161 0.00028831846 0.11371373 0.0021670386 0.0064592636 0.002734375 0.0033063616 0.0014555431 0.007254464 0.0085891 0.04015997 0.015750557 0.009570313 0.0049293153 0.0017764136 0.0060081845 0.010291109 0.0039295014 0.25354353 0.006059338 0.0043526785 0.0015578497 0.005654762 0.0049758186 0.0116303945 0.016317895 0.06287202 0.027836682 0.024548922 0.014750744 0.0052455356 0.019893974 0.01843378 0.017564174 0.07682756 0.0008882068 0.0024786086 0.002018229 0.0010509673 0.0016136533 0.007356771 0.0064360118 0.004827009 0.0058779763 0.0052129836 0.009547061 0.0035528273 0.008444941 0.009905134 0.006343006 0.00031156995 0.0 5.1153274e-05 4.185268e-05 0.00013020834 0.00012555804 0.0018787202 0.0011160715 0.0016229539 0.0014555431 0.000562686 0.00026971727 0.0 0.0 0.0019577753 0.0 0.001655506 0.00011625744 0.00083240325 0.00014880953 0.00017206102 0.00029761906 0.00010230655 8.835566e-05 0.0016322545 0.0015066965 0.0006231399 0.00032552084 0.0 0.0 0.0020228794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 165.0 22.072727 3642.0 0.01674904 0.0002745744 0.006040637 0.0010982977 0.0002745744 0.0 0.0 0.0 0.0002745744 0.0 0.0002745744 0.0 0.0016474464 0.0030203185 0.020318506 0.0016474464 0.006040637 0.006040637 0.001372872 0.002745744 0.0030203185 0.001372872 0.0021965953 0.0016474464 0.0016474464 0.0016474464 0.0021965953 0.0 0.0032948928 0.010159253 0.0032948928 0.0005491488 0.0010982977 0.013454146 0.0038440418 0.007962658 0.0049423394 0.0038440418 0.0043931906 0.0030203185 0.0016474464 0.0030203185 0.0010982977 0.0005491488 0.0005491488 0.005491488 0.008237232 0.0008237232 0.0035694672 0.0 0.0065897857 0.012904997 0.0065897857 0.0010982977 0.0030203185 0.0024711697 0.0 0.0 0.0 0.0002745744 0.0024711697 0.0002745744 0.0 0.0038440418 0.0002745744 0.031576056 0.015376167 0.020867655 0.068918176 0.08401977 0.0461285 0.012355848 0.011806699 0.03871499 0.006040637 0.006040637 0.023613399 0.025260845 0.031576056 0.04969797 0.018396486 0.0008237232 0.08511807 0.061230093 0.05436573 0.026084568 0.00686436 0.05052169 0.0038440418 0.0140032945 0.0005491488 0.0 0.0 0.0 0.0 0.0 5.132633 1.0 0.0 0.0 1.0 108544.0 131072.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3259900400.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 105984.0 512.0 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 -105984.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5180874 0.0 4.235808 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 -105616.0 0.0 1516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 113718.0 1516.0 114688.0 0.0 0.0 0.0 0.0 12.0 122880.0 56.0 113544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.009745205 0.0040910724 0.003941146 0.003969855 0.003735396 0.0038677778 0.0038358786 0.004044818 0.003936361 0.0038342837 0.003740181 0.00399378 0.0038406635 0.0039251964 0.0039475258 0.00418677 0.0039634756 0.003614179 0.003706687 0.0037609155 0.0038103592 0.0037242314 0.0038502333 0.003929981 0.0037720802 0.0037752702 0.003697117 0.003901272 0.004146896 0.0038805376 0.0040384387 0.004220264 0.0038007896 0.0036476734 0.0034865823 0.0039586904 0.0039921845 0.0037657004 0.0038661829 0.003941146 0.0037880298 0.0037593206 0.0037322063 0.0037928147 0.0038326888 0.0038055745 0.0039730454 0.003856613 0.003703497 0.0036747877 0.0035264564 0.0036747877 0.003583875 0.003505722 0.0038358786 0.0039905896 0.003701902 0.003937956 0.0039204117 0.0041070217 0.0039491206 0.00396188 0.0039188163 0.0041102115 0.0036093944 0.0036062044 0.003815144 0.0039251964 0.0035121017 0.003662028 0.003894892 0.0039188163 0.003776865 0.0037417759 0.0036827624 0.003701902 0.0037545357 0.003744966 0.0038294988 0.0040416284 0.0037960047 0.0036700028 0.0037306112 0.0040416284 0.003786435 0.003698712 0.0036476734 0.0038518282 0.003701902 0.0038534233 0.0036859524 0.0038294988 0.0038007896 0.003861398 0.0039204117 0.004127756 0.0036859524 0.004052793 0.0035264564 0.0037736753 0.0038247139 0.003995375 0.0037657004 0.0040304638 0.003934766 0.003856613 0.0036572432 0.003939551 0.0039267913 0.0038502333 0.0038023845 0.004263328 0.0040001594 0.0038725627 0.003861398 0.004022489 0.0040655527 0.0041229716 0.0040065395 0.0042840624 0.004003349 0.0039172214 0.0038039794 0.0040384387 0.004245783 0.0042505683 0.004271303 0.0042489734 0.0039076516 0.0036333187 0.0035599505 0.0039650705 0.003902867 0.003928386 0.0036508632 0.004127756 0.0038071694 0.0037609155 0.0037513457 0.003861398 0.0037274214 0.003901272 0.0037960047 0.0039491206 0.0038661829 0.0036540532 0.0036891424 0.003902867 0.0038805376 0.00378165 0.003786435 0.0037752702 0.003623749 0.0036572432 0.0036731928 0.0038039794 0.0038741576 0.0038310937 0.0038741576 0.0040400336 0.0036700028 0.003856613 0.003505722 0.003912437 0.0037513457 0.003821524 0.0035647354 0.0038917023 0.003660433 0.0036317238 0.0035567607 0.0038374737 0.0036795726 0.003743371 0.003700307 0.003976235 0.0039634756 0.0036700028 0.0039921845 0.0039315764 0.003740181 0.0039060568 0.0038502333 0.0038901072 0.0039730454 0.0038039794 0.0037944096 0.0039555007 0.0038709678 0.0040352484 0.004111807 0.0043526455 0.004087882 0.0038805376 0.0039188163 0.004105427 0.003744966 0.0036955222 0.0038007896 0.004162845 0.003912437 0.0038486384 0.003821524 0.0040017543 0.0036301287 0.0037657004 0.0038917023 0.00417401 0.003912437 0.003701902 0.003898082 0.0037338012 0.0035918497 0.003544001 0.0037178516 0.0040799077 0.003869373 0.003941146 0.003819929 0.0038885123 0.004011324 0.003859803 0.004060768 0.004253758 0.0040081344 0.0039204117 0.0038518282 0.0038263088 0.0040511983 0.003858208 0.0037960047 0.0039969697 0.0040161093 0.004181985 0.003789625 0.004111807 0.004255353 0.0038837274 0.0039507155 0.0042489734 0.004341481 0.0039220066 0.0040496034 0.0040416284 0.004027274 0.003902867 0.0042378088 0.0042744926 0.0044355835 0.0041963398 0.004100642 0.004218669 0.0043542404 0.0041229716 0.004223454 0.0042776824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010548793 4.4752454e-05 5.5141416e-05 2.3175378e-05 7.591934e-05 5.434227e-05 5.0346513e-05 3.116689e-05 5.5141416e-05 3.0367737e-05 2.6371983e-05 3.6760946e-05 1.8380473e-05 2.3175378e-05 3.5162644e-05 2.1577076e-05 0.00078796287 1.0388962e-05 2.7171134e-05 3.116689e-05 4.7149908e-05 3.4363493e-05 0.00019499284 0.0002629207 0.000103090475 1.51838685e-05 7.99151e-07 1.598302e-06 2.7171134e-05 2.477368e-05 5.594057e-06 6.233378e-05 0.0007927578 2.397453e-05 3.91584e-05 2.1577076e-05 4.954736e-05 3.5961795e-05 6.3132924e-05 0.00021177501 0.00012466755 3.835925e-05 1.9978774e-05 2.5572832e-05 5.0346513e-05 2.477368e-05 3.116689e-05 8.3910854e-05 0.0013665481 0.00014304802 0.00012306926 0.000103090475 0.00017980897 0.00012466755 0.0003524256 0.00023974529 0.00011827434 5.753887e-05 5.673972e-05 5.753887e-05 8.6308304e-05 9.989387e-05 8.710746e-05 7.7517645e-05 0.001169957 0.00019818945 0.0001941937 0.00012147095 0.00023574954 0.0001630268 0.0002445402 0.00017021917 0.00013265906 0.00013106076 9.829557e-05 9.270151e-05 8.6308304e-05 7.352189e-05 8.950491e-05 7.192359e-05 0.0012730475 0.00030767312 0.0002773054 0.0002053818 0.00033644255 0.00030048078 0.00031246804 0.00027570708 0.00023734783 0.00026451898 0.00018859963 0.0002101767 0.0002053818 0.0001646251 0.00018300557 0.00016782171 0.061437927 0.061113473 0.0603335 0.06066275 0.059336163 0.060327906 0.060689922 0.06383778 0.060530093 0.060237605 0.059436854 0.062488813 0.0620293 0.06153942 0.063380666 0.06625122 2949.0 5.761275 16990.0 0.010417893 0.00924073 0.0087110065 0.009417304 0.011065332 0.010712184 0.0110064745 0.010417893 0.009005297 0.009888169 0.010359035 0.00859329 0.010947616 0.009593879 0.010653325 0.00953502 0.009064156 0.010123602 0.008828723 0.010005886 0.007592702 0.009299588 0.010653325 0.010712184 0.00924073 0.010005886 0.009299588 0.011183049 0.008652149 0.0094761625 0.009181872 0.0108299 0.009064156 0.010300176 0.011065332 0.010123602 0.010005886 0.01147734 0.010359035 0.010005886 0.009593879 0.01018246 0.010888758 0.010594468 0.01018246 0.010123602 0.00953502 0.011653914 0.010417893 0.011065332 0.010535609 0.011241907 0.011712772 0.00953502 0.010417893 0.009947028 0.009064156 0.009770453 0.011300765 0.0102413185 0.011241907 0.008828723 0.011124191 0.009652737 0.008887581 0.0133608 0.009181872 0.010005886 0.01241907 0.013772807 0.010594468 0.010947616 0.010123602 0.0117716305 0.010064744 0.009770453 0.013949382 0.011948205 0.010771042 0.011241907 0.012772219 0.008946439 0.011889347 0.011712772 0.01306651 0.011536198 0.010594468 0.014184815 0.010123602 0.009593879 0.009005297 0.011124191 0.011065332 0.0108299 0.009005297 0.010771042 6.5753956 0.0 0.0 0.0 8.0 626975.0 196608.0 0.0 0.0 11.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 74240.0 1024.0 4096.0 10.0 4.0 0.0 0.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 0.0 0.0 0.0 0.0 -36352.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.21082626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6803007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9312553 0.0 0.0 0.0 0.0 0.0 0.0 -13.217455 6.235389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 69632.0 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 -77824.0 0.0 0.0 0.0 4096.0 0.0 0.0 -12288.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 612.0 186332.0 6656.0 176128.0 0.0 0.0 0.0 0.0 8.0 186016.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 186228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.98514414 0.00013466021 5.757421e-05 6.6032524e-05 5.478681e-05 0.00013225728 5.238388e-05 5.161494e-05 5.5747983e-05 5.02693e-05 5.3537286e-05 5.132659e-05 4.9212013e-05 7.083838e-05 4.815472e-05 5.9400438e-05 5.6613037e-05 5.238388e-05 4.5847908e-05 5.0749888e-05 5.1422707e-05 6.7474284e-05 5.1422707e-05 4.9019778e-05 4.9308128e-05 4.3925564e-05 4.863531e-05 4.9404247e-05 5.1230472e-05 7.92967e-05 5.0749888e-05 4.7385784e-05 5.344117e-05 6.0073256e-05 4.652073e-05 5.853538e-05 6.411018e-05 4.7481903e-05 4.9212013e-05 4.7097434e-05 4.719355e-05 4.7289668e-05 5.065377e-05 5.382564e-05 4.719355e-05 5.1518826e-05 4.786637e-05 4.2772157e-05 9.236864e-05 9.1023e-05 9.198417e-05 8.958124e-05 9.0061825e-05 9.8039556e-05 7.977729e-05 8.890842e-05 8.073846e-05 8.20841e-05 7.343355e-05 8.785113e-05 7.881611e-05 9.198417e-05 6.641699e-05 7.727824e-05 6.8723806e-05 5.2191644e-05 0.00026768644 6.881992e-05 5.4306223e-05 9.6597796e-05 4.5944027e-05 5.2287764e-05 5.02693e-05 5.0461535e-05 4.7578018e-05 4.719355e-05 5.4017873e-05 4.892366e-05 5.1134357e-05 5.0557654e-05 8.323751e-05 5.0173185e-05 4.998095e-05 5.30567e-05 5.2576113e-05 5.5747983e-05 4.1810985e-05 5.209553e-05 4.517509e-05 4.9788716e-05 4.5944027e-05 5.2287764e-05 5.382564e-05 5.1422707e-05 4.8058606e-05 5.0942122e-05 5.0846003e-05 6.103443e-05 4.8443075e-05 5.86315e-05 5.2960582e-05 6.81471e-05 7.823941e-05 5.1134357e-05 5.5651864e-05 5.7862562e-05 5.2576113e-05 4.9500362e-05 6.449465e-05 5.757421e-05 5.171106e-05 6.2187835e-05 5.5651864e-05 4.8346956e-05 5.7766443e-05 5.8439266e-05 7.881611e-05 6.411018e-05 5.0077066e-05 4.7674137e-05 5.9208203e-05 4.8346956e-05 5.0173185e-05 4.642461e-05 4.9500362e-05 6.372571e-05 4.9404247e-05 5.3248936e-05 5.3537286e-05 6.132278e-05 4.555956e-05 5.651692e-05 4.7097434e-05 8.26608e-05 4.853919e-05 6.53597e-05 4.863531e-05 0.00017204981 4.786637e-05 9.5156036e-05 5.4690692e-05 5.238388e-05 5.0461535e-05 4.4886736e-05 4.863531e-05 4.7481903e-05 4.546344e-05 5.0557654e-05 4.863531e-05 4.440615e-05 4.9212013e-05 4.4310033e-05 5.344117e-05 4.786637e-05 4.998095e-05 4.863531e-05 4.7674137e-05 5.0461535e-05 4.7578018e-05 4.69052e-05 4.8058606e-05 4.69052e-05 4.4021683e-05 4.373333e-05 4.9212013e-05 4.3156626e-05 4.7578018e-05 4.3925564e-05 5.372952e-05 4.7962487e-05 4.7289668e-05 4.5944027e-05 5.0461535e-05 4.5655674e-05 4.613626e-05 5.161494e-05 4.9308128e-05 4.7770252e-05 4.786637e-05 4.4021683e-05 4.8058606e-05 4.959648e-05 4.4117798e-05 5.161494e-05 6.468688e-05 4.4598386e-05 4.853919e-05 4.8058606e-05 5.2672232e-05 4.6232377e-05 5.1134357e-05 5.0942122e-05 6.4590764e-05 5.1038238e-05 5.0077066e-05 5.5940218e-05 4.9500362e-05 5.3537286e-05 5.3152817e-05 0.000112841604 4.9404247e-05 4.853919e-05 4.344498e-05 4.7385784e-05 4.9019778e-05 4.5751793e-05 4.9115893e-05 5.4882927e-05 0.00024173479 5.9688788e-05 5.0942122e-05 4.9115893e-05 5.161494e-05 5.2287764e-05 4.7578018e-05 4.440615e-05 4.8443075e-05 4.8731425e-05 5.0846003e-05 4.6328496e-05 5.372952e-05 5.997714e-05 4.344498e-05 5.2287764e-05 4.8346956e-05 4.7097434e-05 4.9308128e-05 4.6328496e-05 4.5367324e-05 4.7385784e-05 4.7481903e-05 4.4310033e-05 7.795106e-05 4.998095e-05 4.9308128e-05 5.8727615e-05 5.0942122e-05 4.7481903e-05 4.7481903e-05 5.2768348e-05 4.7097434e-05 5.4594577e-05 4.9788716e-05 4.9788716e-05 4.7481903e-05 4.7962487e-05 4.5655674e-05 4.69052e-05 4.8443075e-05 5.1422707e-05 5.0557654e-05 4.7097434e-05 5.0173185e-05 4.8346956e-05 4.959648e-05 0.000336218 0.98021287 1.4419176e-07 4.806392e-07 0.0 1.4419176e-07 4.8063917e-08 0.0 0.0 4.806392e-07 4.8063917e-08 4.8063917e-08 4.8063917e-08 1.9225567e-07 0.0 9.6127835e-08 1.9225567e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016413828 1.4419176e-06 1.2977258e-06 8.939889e-06 1.2977258e-06 1.1535341e-06 6.728948e-07 9.132144e-07 6.2483093e-07 7.690227e-07 4.806392e-07 8.1708663e-07 3.8451134e-07 7.690227e-07 7.209588e-07 1.2448555e-05 0.00015149747 5.911862e-06 1.9706206e-06 1.8264288e-06 1.3938536e-06 1.2977258e-06 1.8264288e-06 1.5380454e-06 1.3938536e-06 1.8744928e-06 1.778365e-06 1.3938536e-06 1.6822371e-06 1.778365e-06 2.4031958e-06 1.7303011e-05 0.00015135328 9.612784e-07 9.132144e-07 1.8264288e-06 1.1583405e-05 4.710264e-06 7.4018435e-06 4.4699445e-06 3.6047938e-06 2.8838352e-07 4.806392e-07 1.2977258e-06 8.1708663e-07 4.806392e-07 2.1628764e-06 4.518008e-06 0.00012155365 1.3457897e-06 1.6822371e-06 2.1148123e-06 7.930546e-06 4.3738164e-06 1.2785003e-05 6.6328207e-06 2.3070681e-06 1.1054701e-06 1.0574062e-06 1.0574062e-06 1.3457897e-06 1.3938536e-06 1.3938536e-06 2.8790288e-05 0.00028655707 1.38904725e-05 8.122802e-06 6.1521814e-06 9.372464e-06 5.8157343e-06 1.03337425e-05 8.21893e-06 7.017332e-06 5.6234785e-06 6.1521814e-06 6.0560537e-06 7.2576518e-06 8.363122e-06 6.921204e-06 9.6320095e-05 0.00010252034 4.9986475e-06 1.9706206e-06 1.682237e-05 1.1102765e-05 5.863798e-06 2.6915794e-05 1.3025322e-05 2.1148123e-06 1.1054701e-06 1.2977258e-06 2.0186847e-06 1.2977258e-06 1.3938536e-06 1.8744928e-06 2.5473876e-06 0.00016865629 9.612783e-06 1.0093423e-05 6.844302e-05 2.0667485e-05 1.0574062e-05 3.422151e-05 1.8120098e-05 8.939889e-06 4.2776887e-06 4.4699445e-06 5.1909033e-06 9.276337e-06 7.1615236e-06 5.8157343e-06 8.21893e-06 9.189821e-05 2.5954516e-05 2.8742223e-05 0.00043464202 2.465679e-05 2.5858388e-05 2.3887767e-05 2.4224215e-05 2.6579346e-05 2.8790288e-05 2.5954516e-05 2.3983896e-05 2.648322e-05 2.5041301e-05 2.3359064e-05 2.5858388e-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 0.00029583342 3.9412414e-05 3.7009217e-05 5.5129312e-05 0.00012140946 2.9367055e-05 4.5083954e-05 3.9796923e-05 0.0001079035 1.39385365e-05 2.3214872e-05 2.3887767e-05 5.5033186e-05 9.641622e-05 4.0277562e-05 5.9070557e-05 0.00434642 0.0007207665 0.0007029829 0.0007424914 0.0008530865 0.0007257652 0.00073547405 0.0007424914 0.0008446753 0.00069447554 0.00067106844 0.00070168515 0.00075196 0.00082203717 0.00070514577 0.0007921895 4.5612658e-05 1.961008e-05 1.86488e-05 2.1869082e-05 4.2969143e-05 2.0715548e-05 2.1003932e-05 2.0475229e-05 2.110006e-05 1.8889119e-05 1.9321695e-05 2.1388443e-05 2.220553e-05 3.633632e-05 1.9898462e-05 2.3695511e-05 709.0 11.228491 7961.0 0.00954654 0.0040195957 0.007662354 0.00690868 0.0042708204 0.00477327 0.004898882 0.003893983 0.006657455 0.007662354 0.0054013315 0.005652556 0.006280618 0.004898882 0.0067830672 0.0050244946 0.02612737 0.024117574 0.031277478 0.028639618 0.02926768 0.021730939 0.023615124 0.027885944 0.025499308 0.024871247 0.019595528 0.023238286 0.017460119 0.013691748 0.015575932 0.019721141 0.0065318425 0.008918477 0.005526944 0.007034292 0.0052757193 0.0050244946 0.007034292 0.008039191 0.0072855167 0.00477327 0.0054013315 0.0046476573 0.00690868 0.005652556 0.0065318425 0.0036427584 0.00690868 0.005903781 0.0054013315 0.0064062304 0.007913578 0.0065318425 0.0054013315 0.008792865 0.0036427584 0.0030146968 0.004522045 0.005903781 0.005903781 0.0051501067 0.0054013315 0.008667253 0.0054013315 0.015701545 0.0103002135 0.010802663 0.015575932 0.024745636 0.0075367414 0.0103002135 0.009672152 0.0114307245 0.0075367414 0.00690868 0.018967466 0.010802663 0.010802663 0.018465016 0.012058787 0.005903781 0.015199096 0.013440522 0.019344304 0.011933174 0.008039191 0.008792865 0.00904409 0.008416028 0.007662354 0.0042708204 0.0051501067 0.0061550057 0.004898882 0.0043964325 6.299817 0.0 0.0 0.0 3.0 10403964.0 233472.0 0.0 0.0 7.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 178688.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -5632.0 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 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -178688.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7942176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7264892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8951347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.894277 0.0 0.0 0.0 0.0 0.0 0.0 -4.805695 2.888924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28.0 0.0 0.0 -5244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 424.0 0.0 0.0 0.0 0.0 0.0 -8868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -178268.0 0.0 0.0 0.0 0.0 0.0 0.0 -1466.0 11015.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1466.0 200704.0 1536.0 221184.0 0.0 0.0 0.0 0.0 5244.0 212992.0 0.0 0.0 82.0 421888.0 0.0 0.0 24.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0