Input: 0.20319788 0.008672977 0.0046148817 0.0048158662 0.0073540416 0.0032259002 0.0031904792 0.0036256802 0.007956 0.0040043667 0.002621156 0.0019881544 0.0050652064 0.0032022197 0.001850052 0.0046702023 0.0045247376 0.0016094677 0.0015788225 0.0014307706 0.002908902 0.0030428253 0.0015437995 0.0013726642 0.0025501149 0.0014956428 0.0012461037 0.0013957475 0.0022735123 0.0014385314 0.0013328653 0.001345402 0.005018841 0.0013531627 0.0015203181 0.0012082948 0.0038228838 0.0013000312 0.0011698888 0.0010865101 0.0025646414 0.001197549 0.0013135629 0.0020900394 0.0025821528 0.0015752406 0.0015350437 0.0016124526 0.0039349175 0.0028792517 0.0030342685 0.0067455163 0.003161625 0.0027505022 0.00250753 0.0025222555 0.0030750623 0.0038035812 0.002647821 0.0033538537 0.0040507326 0.0027514973 0.003335745 0.0027930872 0.003926361 0.00286771 0.0034209148 0.0029886987 0.00345355 0.014750668 0.0029845198 0.0045219515 0.002797266 0.0031839123 0.0017380181 0.001413856 0.002826916 0.008111812 0.002648418 0.0024038537 0.010170212 0.003013971 0.0027994548 0.0038919349 0.0031753555 0.0037856717 0.0049269055 0.0032863945 0.0022249578 0.0026398613 0.0012994342 0.0017756281 0.0020269582 0.003744281 0.003887358 0.0036117504 0.0020201923 0.0024534035 0.0013020211 0.0017477688 0.0029871068 0.0056001036 0.004062274 0.0019618869 0.006644029 0.0043820585 0.0060124206 0.0023566922 0.0031831164 0.001745779 0.0038047752 0.0041932124 0.0039404896 0.0012580433 0.0035440924 0.0025146937 0.008126339 0.008618055 0.0017597085 0.0021843628 0.0023123163 0.0014279847 0.0012900814 0.0012646102 0.0018578129 0.003302115 0.0018144321 0.0014586298 0.0032539584 0.0019491513 0.0013175427 0.009034749 0.0028595512 0.007295935 0.0019352217 0.0015796185 0.0020850645 0.009262598 0.0015133533 0.024046697 0.0017203076 0.013575804 0.0018118451 0.001598722 0.002797664 0.0010719835 0.0013597296 0.0014345516 0.0016994132 0.0013983345 0.0011780475 0.001086908 0.00196129 0.0012984392 0.0012461037 0.0011684959 0.0017648824 0.001304807 0.0013153538 0.0011372537 0.0020265603 0.001634939 0.0009332843 0.00167235 0.0015760366 0.0026273245 0.0010469102 0.0010311896 0.0019674588 0.001088102 0.0011515813 0.0011643169 0.001849654 0.0011772516 0.0012640132 0.0011113844 0.0025505128 0.001053278 0.0010487011 0.0013734602 0.0025672284 0.0014829072 0.0015692707 0.0016379239 0.0031323729 0.0024870336 0.0011919772 0.0014001254 0.002149141 0.0013826139 0.0013734602 0.0012397359 0.009510545 0.002688018 0.0028098025 0.0027887092 0.0038921337 0.0013684853 0.0034330534 0.0057927305 0.003771742 0.0026575718 0.0011296918 0.0019053725 0.0077195945 0.0015501673 0.0025845408 0.0021843628 0.0032223184 0.0013400291 0.0014051003 0.0013268954 0.002069941 0.0011066085 0.0013637095 0.0013452029 0.004176895 0.0016309591 0.0014709675 0.0024470356 0.0028611433 0.0024559903 0.002612002 0.0018633847 0.003628466 0.0018687575 0.0013489838 0.0015101695 0.003410567 0.0018010994 0.0018504501 0.0014194279 0.01760823 0.0039798906 0.0013893797 0.0034310636 0.0052128606 0.0013356513 0.001419826 0.0015871803 0.0049233236 0.0023827604 0.001635138 0.003232467 0.0027423436 0.0019467634 0.002694585 0.0025668303 0.0035448885 0.0020898404 0.0020788957 0.0024173853 0.006188133 0.0024036549 0.0037289583 0.048239853 0.061759017 9.952736e-08 1.9905472e-07 0.0 3.9810945e-07 0.0 0.0 0.0 2.2493185e-05 1.1943283e-06 5.9716416e-07 9.952736e-08 0.0 0.0 3.9810945e-07 0.0011996033 0.0001905949 3.9810945e-07 2.9858208e-07 9.952736e-08 9.952736e-08 0.0 0.0 4.9763685e-07 3.9810945e-07 1.3933831e-06 9.952737e-07 2.9858208e-07 1.1943283e-06 2.9858208e-07 1.7914925e-06 0.00020930605 0.003576516 1.1047538e-05 1.1346119e-05 1.0748955e-05 1.11470645e-05 1.1744229e-05 4.1701966e-05 6.230413e-05 8.589211e-05 2.7469552e-05 1.2042811e-05 1.3038085e-05 1.5824851e-05 1.5227687e-05 3.553127e-05 0.00074655475 0.0010369756 7.962189e-07 2.3886566e-06 2.8862935e-06 6.6683333e-06 4.7773133e-06 9.156517e-06 9.853209e-06 1.3137612e-05 4.8768406e-06 5.9716416e-07 6.9669153e-07 4.976368e-06 3.8815674e-06 1.4929104e-06 0.00073132705 0.00091843854 7.066443e-06 6.867388e-06 1.11470645e-05 4.001e-05 5.5735322e-06 1.6023905e-05 6.6683333e-06 8.4697785e-05 2.7469552e-05 1.701918e-05 1.11470645e-05 1.9407837e-05 0.00085404434 6.170697e-05 0.0015816889 0.0008448878 9.853209e-06 1.3535721e-05 3.6427016e-05 8.161244e-06 9.4551e-06 2.1597438e-05 3.9014725e-05 3.8616618e-05 1.9208781e-05 9.952736e-06 8.7584085e-06 9.256045e-06 0.00019487458 0.00013326714 0.00064145384 0.008672317 8.499637e-05 0.00015765135 0.0005861166 0.0028974407 0.0015080386 0.0001669074 0.000108982465 0.00026424514 6.4394204e-05 6.5389475e-05 4.8967464e-05 0.00022095075 0.00041025179 0.00031072443 0.00175835 0.019733788 0.0005907944 0.0009190357 0.0003247578 0.001147451 0.0014540948 0.0024352355 0.0010916161 0.0003542179 0.00042528042 0.00023299357 0.00019696465 0.00024782313 0.00076297676 0.0003997019 0.0037232193 0.018880043 0.0005535712 0.00086180744 0.00057835353 0.0012207031 0.0015503378 0.0030419545 0.0011170951 0.0004393138 0.00036785315 0.00037233188 0.00036556402 0.00037342668 0.000567505 0.0004164225 0.002518341 0.006789856 0.00017347619 0.0007598914 0.00087972236 0.0019869644 0.0014325969 0.002736903 0.0015527264 0.00023647702 0.00016740503 0.00017765634 0.00017178422 0.00048310583 0.00047404884 0.00021527769 0.0011261521 0.010306855 0.0002859421 0.0017444161 0.0030349875 0.004407171 0.0024824115 0.004469973 0.0022147824 0.00051415834 0.00034725099 0.00020771362 0.00022045312 0.0005138598 0.0006844497 0.00034535996 0.0010371747 0.011535122 0.0017831322 0.0020344388 0.021899901 0.004493362 0.002898834 0.0033273988 0.0027070448 0.0022219485 0.0018623561 0.0017279941 0.0017386435 0.0027095329 0.0021201319 0.0019645707 0.00305549 0.009622505 0.0010104018 0.00082000595 0.00089962786 0.0029182418 0.0018081137 0.0018726074 0.0012843012 0.0033160527 0.000841902 0.0006727055 0.000778304 0.0025489954 0.0009901978 0.0013828332 0.0040884847 0.04297701 0.005831806 0.0045272014 0.005136707 0.010323774 0.012114471 0.009731686 0.008683265 0.0268066 0.00294601 0.0028808196 0.004408664 0.015020968 0.0035178943 0.013153935 0.025375795 0.05453831 0.008753033 0.0069209337 0.008008171 0.020852176 0.01876051 0.014387775 0.016073171 0.0384093 0.0041765664 0.005248277 0.0076676877 0.021478603 0.010004391 0.022642078 0.033355005 0.018649438 0.011988569 0.012161348 0.011935621 0.013729999 0.01222425 0.012187823 0.011717954 0.01204719 0.011941592 0.0116886925 0.0120086735 0.012145225 0.012099841 0.011745423 0.011687598 20838.0 12.544294 261398.0 0.023726271 0.0028653624 0.0020925945 0.0018783617 0.0081752725 0.0019280943 0.0024483737 0.0024215947 0.006438458 0.0023183038 0.0018171524 0.0023642108 0.018175349 0.002547839 0.005719248 0.011251043 0.019609943 0.01929242 0.021714015 0.017020022 0.018420188 0.016951162 0.013546393 0.0132479975 0.016564779 0.01552422 0.014514266 0.012628253 0.033676617 0.01369559 0.029502904 0.014977161 0.016201349 0.01366116 0.015811138 0.015761405 0.013573172 0.014101103 0.005876097 0.005952609 0.009445366 0.01221509 0.003163758 0.0032976533 0.010256391 0.006602958 0.010876135 0.011323729 0.016824918 0.0031790603 0.013225044 0.015088103 0.017081233 0.0071500163 0.00779654 0.00658383 0.0068401443 0.0029571764 0.005719248 0.001985478 0.006472888 0.0025631413 0.0025784436 0.009311471 0.0055011897 0.017383454 0.0045639216 0.00913932 0.014736149 0.02684795 0.0048431894 0.00795339 0.017069755 0.021538038 0.005340515 0.0035616187 0.016538 0.006687121 0.014655813 0.019177653 0.010807275 0.0020199083 0.01998485 0.012027636 0.03172174 0.007685598 0.0036343047 0.008037552 0.009039855 0.0044300263 0.0026243506 0.0017635942 0.0049579567 0.0017406407 0.0018783617 0.0015799662 6.2310505 4.0 19.0 0.0 15.0 5025264.0 5148672.0 1.0 0.0 720.0 1.0 1.0 1.0 1.0 0.0 1496191000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2477056.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -517632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 532992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2477056.0 0.0 1441792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5667007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.876803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5708246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.595597 0.0 7.5187764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -517270.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 532770.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -160376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2476754.0 0.0 1441432.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 -2.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 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 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 -2.0 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 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 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 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 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 -1.0 2.0 1.0 0.0 -2.0 1.0 -1.0 -1.0 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 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 1.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 -2.0 2.0 1.0 -1.0 0.0 0.0 1.0 -2.0 1.0 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 1.0 1.0 1.0 -3.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 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 -1.0 0.0 2.0 -1.0 0.0 -1.0 1.0 1.0 0.0 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 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 0.0 -1.0 -2.0 0.0 -1.0 -3.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 1.0 2.0 -2.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 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 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 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 1.0 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 1.0 -1.0 1.0 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 -2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 500.0 2998276.0 1441432.0 3186688.0 0.0 0.0 7152.0 5018112.0 208352.0 4628480.0 56.0 2487472.0 0.0 0.0 0.0 0.0 24.0 2792064.0 64.0 2791992.0 0.0 0.0 2976.0 2482176.0 0.0 0.0 0.0 0.0


Input: 0.05663456 0.008293461 0.006173274 0.0056579723 0.0057531684 0.004956417 0.0042051934 0.0054189465 0.00504437 0.005617617 0.003753011 0.0044700876 0.0049605556 0.0031735552 0.004324189 0.0046356465 0.005030918 0.0037685323 0.0049243397 0.004167943 0.004352127 0.0031663121 0.0041017192 0.0038430337 0.0050671343 0.00335567 0.0031632078 0.0029314256 0.004155526 0.0034332757 0.0037954357 0.0037944007 0.0061691348 0.0038264778 0.003483978 0.003029726 0.004906749 0.0041658734 0.003845103 0.00371783 0.0047235996 0.0038916667 0.0033256623 0.0030969842 0.004368683 0.003725073 0.0037271425 0.003588487 0.005520351 0.003948577 0.0031011233 0.0029045222 0.00367644 0.0030773242 0.0026903306 0.0028672714 0.004167943 0.0033091065 0.003528472 0.00335567 0.004001349 0.0032335704 0.0035046728 0.0034467273 0.006590275 0.00393823 0.0036267724 0.0032170145 0.0041627693 0.0032180492 0.0035429583 0.0030649074 0.0049967715 0.0037799145 0.0037074825 0.0036019387 0.0041182754 0.0031280266 0.003564688 0.0034643179 0.0051623303 0.0036319462 0.00365678 0.0033391141 0.0039330563 0.0033732606 0.0033649825 0.0035429583 0.0046511674 0.0036516064 0.0038202694 0.0035088118 0.0041162055 0.0033887818 0.003688857 0.003789227 0.005907345 0.0036298768 0.0033463573 0.0029438424 0.00399928 0.0030524905 0.0032615084 0.0030328303 0.004974007 0.0031652774 0.003199424 0.0030493862 0.003580209 0.0028393334 0.0030876717 0.0032014933 0.004507338 0.003295655 0.0032263272 0.0031435478 0.0038885623 0.003330836 0.0032904812 0.0036215987 0.0046232296 0.0032904812 0.0034777697 0.0031673468 0.004042739 0.0031932155 0.0034736306 0.0033401488 0.008634926 0.0046035694 0.004013766 0.0035274373 0.004368683 0.0034343104 0.0030224829 0.0033846428 0.0045321723 0.0038482074 0.0029635027 0.0031942502 0.0037240384 0.0028020828 0.0028496808 0.002982128 0.005224415 0.003210806 0.0034953603 0.003029726 0.00365678 0.0031807984 0.0033080718 0.0032666821 0.004541485 0.0028382987 0.0030442125 0.0027099906 0.0035139855 0.003223223 0.002986267 0.0031487215 0.0050143623 0.0034105114 0.0032728906 0.0028010479 0.0037768101 0.0030111007 0.003061803 0.003178729 0.004140005 0.0029976491 0.0031166445 0.0030162744 0.003652641 0.0028455418 0.0029231475 0.003033865 0.0046646195 0.003110436 0.00383786 0.002857959 0.0035584795 0.003146652 0.0029914407 0.0031176792 0.0042548613 0.0031456172 0.0033422182 0.0031807984 0.0036505717 0.0031911458 0.0033339404 0.0033432532 0.0067123747 0.0040644687 0.0037240384 0.0033391141 0.0041162055 0.0032646125 0.003307037 0.0032242576 0.0043314323 0.0033287667 0.003114575 0.0030804286 0.0036464327 0.002982128 0.0030887064 0.0027948394 0.004246583 0.0032780643 0.0030907758 0.0030028229 0.0037043781 0.0030245525 0.0029407383 0.0029459118 0.003982724 0.0031135401 0.002724477 0.0026375586 0.0035357152 0.0029448771 0.0035771048 0.0028869316 0.0049522775 0.003231501 0.003403268 0.002969711 0.0038119913 0.0030793936 0.0031952849 0.0029148697 0.0044462886 0.0054572322 0.0034643179 0.0031290613 0.0037881923 0.0030907758 0.0032501263 0.0031932155 0.004613917 0.003319454 0.0034218936 0.0030411081 0.0037395596 0.0030887064 0.0033132455 0.003234605 0.0043459185 0.0030328303 0.0031911458 0.0028662367 0.004014801 0.0030938801 0.0042186454 0.0045114774 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09917759 0.06201431 0.062470455 0.05534269 0.060593527 0.05959623 0.054937344 0.054475497 0.060470678 0.053147495 0.052139316 0.05294586 0.05642551 0.050553698 0.056677427 0.053830676 4033.0 5.7039423 23004.0 0.017257867 0.010432968 0.00930273 0.008781082 0.013432447 0.012519562 0.01178056 0.011563206 0.012563032 0.009780908 0.008520258 0.008563728 0.013867154 0.01056338 0.011910972 0.009954791 0.01673622 0.011867501 0.008737611 0.007520431 0.009780908 0.008563728 0.0077812555 0.008346374 0.010346027 0.008433316 0.009650496 0.008824552 0.011563206 0.008954965 0.0096070245 0.009172318 0.0179534 0.010867675 0.010346027 0.009085377 0.010824204 0.008781082 0.010606851 0.008302904 0.014171449 0.011606677 0.009693966 0.008911493 0.0113893235 0.009346201 0.01173709 0.009520084 0.014736568 0.009563554 0.009998261 0.009041905 0.012041384 0.009433142 0.0096070245 0.009824378 0.0136498 0.009172318 0.01056338 0.009520084 0.011215441 0.009780908 0.010432968 0.010693792 0.0179534 0.010954617 0.009650496 0.008172492 0.01304121 0.008215962 0.009346201 0.008346374 0.0153886285 0.009259259 0.008868023 0.008737611 0.0113893235 0.008042079 0.009867849 0.007824726 0.013258563 0.007955139 0.008737611 0.008781082 0.011606677 0.009563554 0.008172492 0.007998609 0.010954617 0.008954965 0.011954443 0.008563728 0.0113893235 0.008998435 0.010085203 0.008868023 6.554635 0.0 0.0 0.0 14.0 966424.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.037680216 0.0042865565 0.00398967 0.0037903897 0.0063932324 0.0033308254 0.003566708 0.0043231593 0.004184883 0.003631779 0.0037293858 0.0033755617 0.004058808 0.003359294 0.0033348922 0.007861398 0.003928666 0.0038107245 0.0033470932 0.0035423064 0.0034040303 0.003359294 0.003574842 0.0034040303 0.003428432 0.0036195782 0.0031518799 0.0033186246 0.0036602477 0.003566708 0.0033348922 0.003501637 0.0058929985 0.0033796288 0.0034691014 0.0033226914 0.009630518 0.003363361 0.0033755617 0.003294223 0.0036602477 0.003631779 0.0032738883 0.003290156 0.0037375195 0.0034080972 0.0033226914 0.003290156 0.0041442136 0.004461435 0.0041076113 0.004278423 0.0046607153 0.003920532 0.0038879963 0.005746589 0.004526506 0.004115745 0.0031152775 0.0034487667 0.0035341724 0.0033389593 0.0034487667 0.0037578542 0.003631779 0.0034609674 0.0032657543 0.0033958964 0.004315025 0.004152348 0.0038717287 0.0036033106 0.0033958964 0.0035301056 0.003359294 0.0034772353 0.0036033106 0.0033186246 0.0034365659 0.0033755617 0.0036968503 0.0034609674 0.0034528337 0.0034609674 0.003432499 0.0036155113 0.0034365659 0.0034365659 0.003359294 0.0032982898 0.0036724485 0.0034487667 0.0033918296 0.0033714948 0.0035138377 0.00921569 0.0048721964 0.004205218 0.0038798626 0.004184883 0.005583911 0.004197084 0.0077231224 0.0032657543 0.0042214855 0.0036724485 0.0034609674 0.003290156 0.00398967 0.0033958964 0.0034569006 0.0037253187 0.0034487667 0.0034446998 0.003635846 0.0036765155 0.0045631086 0.0037619213 0.003505704 0.003424365 0.0035097708 0.0035260385 0.003570775 0.0031966162 0.0033470932 0.003489436 0.0035463732 0.003229152 0.003782256 0.003501637 0.0036805824 0.0042255525 0.0037619213 0.0037293858 0.0035545072 0.0037009171 0.0041767494 0.0054212334 0.0035219716 0.0039530676 0.0032494864 0.0056693167 0.0034609674 0.0036765155 0.0033918296 0.0032982898 0.0034121643 0.003424365 0.0033714948 0.0034121643 0.0032576204 0.0031356122 0.0036521137 0.0035179048 0.0035382395 0.0032738883 0.005933668 0.0033023567 0.003367428 0.0034650345 0.0033104906 0.003277955 0.0031193444 0.0036683816 0.0033267585 0.003229152 0.003229152 0.0034080972 0.003090876 0.0032616875 0.003355227 0.0035219716 0.0035097708 0.0032372857 0.0034528337 0.0034650345 0.0034609674 0.0032616875 0.0033470932 0.0033999635 0.003286089 0.0034609674 0.0036073774 0.0038107245 0.0040222057 0.0034365659 0.004038473 0.0036887163 0.0033877625 0.00349757 0.003908331 0.003139679 0.0044411006 0.0041808165 0.0035179048 0.003635846 0.003940867 0.0035951766 0.004412632 0.00404254 0.0037497203 0.0036805824 0.0033104906 0.003359294 0.0033430262 0.0034162311 0.0033348922 0.0035219716 0.0038269924 0.0032535535 0.00404254 0.0036195782 0.0034446998 0.0033918296 0.0032535535 0.0035504403 0.003774122 0.0033999635 0.0034406327 0.0033186246 0.0033755617 0.0033836956 0.0036521137 0.0036236453 0.0036073774 0.0033796288 0.0035423064 0.0034406327 0.0033308254 0.0033186246 0.0034853693 0.00349757 0.0057181204 0.006222421 0.003566708 0.0034487667 0.0034487667 0.003355227 0.0035219716 0.0033430262 0.0034080972 0.0034569006 0.0036236453 0.0035382395 0.0033918296 0.0039978037 0.0040628747 0.003713118 0.0040140715 0.004217419 0.003786323 0.0033836956 0.0036765155 0.0036195782 0.0039612013 0.010903471 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06752378 0.053786527 0.05671826 0.053312548 0.054438252 0.053733412 0.059856337 0.054705888 0.0584916 0.05426664 0.05222362 0.053952012 0.056274924 0.054101154 0.056458797 0.05973784 1068.0 10.745318 11476.0 0.049233183 0.005054026 0.0070582083 0.0042697806 0.006273963 0.0042697806 0.0040083653 0.0053154407 0.0059254095 0.0056639942 0.004182642 0.0047926106 0.004618334 0.0036598118 0.005751133 0.004618334 0.0147263855 0.026664343 0.022655977 0.027710004 0.018037643 0.01664343 0.015772047 0.056552805 0.02466016 0.015946323 0.004444057 0.005576856 0.0060996865 0.0073196236 0.0054025794 0.005838271 0.006883932 0.008016731 0.004182642 0.004879749 0.00644824 0.005576856 0.0061868248 0.0071453466 0.0047926106 0.0063611013 0.005141164 0.0059254095 0.0056639942 0.0059254095 0.006273963 0.0042697806 0.006709655 0.0053154407 0.004879749 0.006883932 0.004444057 0.0045311954 0.0045311954 0.0060125478 0.005576856 0.0042697806 0.0060125478 0.005838271 0.0033983965 0.005141164 0.004182642 0.12591495 0.0049668876 0.020303242 0.01124085 0.025444405 0.0150749395 0.023004532 0.014029278 0.007406762 0.0061868248 0.00967236 0.0047054724 0.0042697806 0.010630881 0.006709655 0.0093238065 0.012809341 0.0060125478 0.006709655 0.01394214 0.009236668 0.014813524 0.010020914 0.005141164 0.0063611013 0.0066225166 0.00697107 0.0052283024 0.004879749 0.005054026 0.006273963 0.0054897177 0.0054025794 5.9387712 0.0 0.0 0.0 5.0 245885.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.007999009 0.0068656886 0.006597756 0.007335093 0.008915896 0.007320478 0.0064832754 0.0055521224 0.0065250313 0.006693098 0.005919225 0.0057149697 0.0065706144 0.0054626954 0.0048969053 0.005112295 0.0067393775 0.0052821017 0.004956407 0.005809964 0.004829748 0.0044466387 0.0046588974 0.0049205665 0.005647117 0.0056662546 0.004692302 0.004800171 0.005015561 0.004387137 0.0038157792 0.0055016675 0.007390419 0.006645427 0.0044344603 0.004828356 0.0068368074 0.0047594593 0.0049205665 0.0064912788 0.004276832 0.004051003 0.0033818674 0.0037816786 0.0044626454 0.004573298 0.0038777168 0.0038644942 0.005672518 0.0043878327 0.0052448697 0.0038443124 0.00418323 0.003689816 0.003977235 0.003996025 0.0042392523 0.004054831 0.0030558247 0.0038613626 0.0033696888 0.002835911 0.002248199 0.0041679195 0.0058586793 0.005641897 0.0050493134 0.0060204826 0.0041630478 0.004286575 0.0039041622 0.0040555266 0.0053461273 0.0047065686 0.0036776373 0.004031517 0.0044247173 0.0044480306 0.004012031 0.004054483 0.004600439 0.0042037596 0.003978627 0.0046954337 0.003464683 0.0037145216 0.0036463204 0.0039793225 0.004348861 0.003729136 0.003396134 0.003934783 0.0042528226 0.0032398978 0.0027263022 0.004527019 0.0052344305 0.004956059 0.0037312238 0.0039114696 0.005370833 0.00367033 0.003131333 0.0034104006 0.00421907 0.0041550444 0.0034873006 0.0038627544 0.0044800434 0.0044476828 0.0032513808 0.003532188 0.0045506805 0.0035447148 0.0043707825 0.0030140688 0.0034514603 0.0036925997 0.003178656 0.0035074826 0.0035381035 0.0032600798 0.0026048627 0.0028320835 0.0026358315 0.0028223405 0.0022701207 0.0037228726 0.005641201 0.005369789 0.0045207553 0.005052445 0.0054700025 0.004690214 0.006735202 0.004267089 0.0039685355 0.00434051 0.0031678693 0.003947658 0.0036964274 0.0039894134 0.0028912374 0.0031866594 0.0065921885 0.003896855 0.0042970143 0.003562809 0.0031462954 0.003181092 0.0033310647 0.0037862023 0.0031950104 0.0034685107 0.0029879715 0.0031292452 0.0029719651 0.0028734913 0.0025846807 0.003062088 0.0034709463 0.0041470416 0.002640355 0.0030686993 0.0035210534 0.0032016218 0.0030203322 0.0029573506 0.0029479556 0.003052345 0.002297958 0.0027823246 0.003052345 0.0034093566 0.0024938618 0.0026650606 0.0046773395 0.0033209736 0.002709252 0.002905156 0.0034772097 0.003131333 0.0029778806 0.0032346784 0.0034803413 0.0033091428 0.0024695045 0.0030342508 0.0028425225 0.0025140438 0.002248199 0.0032447693 0.0050834143 0.0043321587 0.0045287586 0.0037207848 0.00347547 0.0029208143 0.0032256313 0.0031560385 0.0050298274 0.004209675 0.0020105392 0.003307403 0.0022903027 0.002571458 0.002080828 0.0027558792 0.0037962932 0.0028313876 0.0031636937 0.0029883196 0.0028693157 0.0025018652 0.0028616604 0.0027416127 0.0035760317 0.0026821108 0.0028606164 0.0030165047 0.002590944 0.0026657565 0.0023748581 0.0030373826 0.0040809284 0.0037733275 0.0027604029 0.0029187265 0.004386789 0.0027022928 0.0018177668 0.0025930319 0.0027830205 0.0026424427 0.002001492 0.0033220176 0.0025658906 0.0026170413 0.0020787402 0.0030979284 0.0033975258 0.002592336 0.0024594134 0.0020150626 0.002199832 0.0020933547 0.0020387243 0.0028021585 0.0029082876 0.0021824336 0.0019228521 0.0024663727 0.0022729044 0.0022983057 0.002454194 0.010684252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001974014 1.3403799e-05 1.2185272e-05 1.5840853e-05 1.897421e-05 1.46223265e-05 1.114082e-05 1.5318628e-05 1.7755681e-05 8.703765e-06 9.400067e-06 4.1778076e-06 5.2222595e-06 3.307431e-06 2.785205e-06 6.2667114e-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 0.0003707804 7.2589406e-05 7.224125e-05 6.945605e-05 7.903019e-05 0.00015161959 0.00015666778 0.00010461926 0.00024161654 0.00022107565 0.00013978248 0.00021742006 0.00015614556 0.00027799828 0.00035493955 0.00052257406 0.0008024872 0.00072363106 0.00076436467 0.0006987383 0.0011085116 0.0022077973 0.0022600198 0.001946162 0.0032167376 0.0036141516 0.0019395471 0.0030513662 0.0025878036 0.0018478094 0.0024767434 0.005335234 0.0024126838 0.0021621895 0.0023804798 0.0019606103 0.0029869583 0.0049473946 0.0044277795 0.0050199837 0.005189185 0.004546847 0.0044989763 0.0052186036 0.0056241993 0.0049198903 0.006028228 0.009333744 0.09990217 0.07823379 0.07537983 0.060106117 0.06947711 0.055134352 0.05800555 0.045909055 0.06229459 0.047704645 0.042160172 0.04110214 0.046352427 0.039530937 0.037290413 0.031612772 21491.0 6.049695 130014.0 0.017575031 0.015198363 0.010768071 0.012837079 0.016282862 0.011691049 0.01237559 0.017321212 0.011152645 0.009883551 0.008606765 0.008514468 0.012052548 0.012121771 0.008660606 0.010021998 0.014690726 0.01216792 0.016721277 0.011237252 0.010414263 0.009145169 0.010306583 0.011321858 0.011891027 0.01143723 0.008483701 0.010775763 0.009429754 0.006591598 0.005230206 0.010306583 0.014936853 0.014106173 0.013667759 0.018574923 0.011460304 0.011721815 0.009683573 0.010683465 0.013067824 0.012460196 0.009560509 0.010398881 0.012067931 0.012144846 0.009537434 0.010483487 0.010898827 0.010383497 0.009922008 0.012606335 0.00909902 0.009506669 0.009037488 0.010575784 0.010145062 0.009622041 0.008291415 0.010221976 0.01003738 0.006530066 0.00670697 0.01096805 0.01216792 0.0115756765 0.0091913175 0.010029689 0.014290769 0.009083637 0.0073992033 0.008460627 0.010952666 0.009552818 0.008406787 0.0091913175 0.012490963 0.011121879 0.007991447 0.009222084 0.011106497 0.008252958 0.011398773 0.008522159 0.008891351 0.008568308 0.0071992246 0.008083745 0.008552925 0.0070530865 0.0060378113 0.0066454383 0.0059455135 0.006130109 0.005022536 0.007137693 6.5383058 3.0 1.0 0.0 41.0 2873856.0 8241152.0 0.0 0.0 12.0 0.0 1.0 0.0 1.0 0.0 1543359700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 2871296.0 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 0.0 0.0 0.0 0.0 0.0 -2867712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.92389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.3567514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2871296.0 0.0 0.0 0.0 0.0 0.0 5357568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 7294976.0 764.0 8237208.0 4248.0 8232960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 8228996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.10277328 0.007232914 0.005436595 0.0065262956 0.0063436865 0.0035827141 0.0035827141 0.0035985932 0.0077152406 0.0027053957 0.0030805387 0.003753414 0.007101912 0.003175813 0.0027629572 0.0091979485 0.005386973 0.0023381924 0.0024394214 0.0024036935 0.0035747746 0.0030725992 0.0027073806 0.00246324 0.0033385735 0.0023501017 0.002242918 0.0025088922 0.002919763 0.002240933 0.0023223134 0.002733184 0.004471942 0.002139704 0.0023183434 0.0029277026 0.003584699 0.002242918 0.0020742028 0.0023858296 0.0028443376 0.0021436738 0.002054354 0.0036561547 0.0024850736 0.0030408408 0.002328268 0.0022349784 0.0031639037 0.0023163585 0.0021694773 0.0073917047 0.0024553004 0.0023897993 0.0022707062 0.0022468877 0.0026240156 0.0027947153 0.0022965097 0.0039161746 0.0025684389 0.002393769 0.0021714622 0.0024731643 0.004299257 0.0040868744 0.0050713765 0.00679624 0.003429878 0.008298797 0.0051388624 0.0039876304 0.0028840352 0.0025366805 0.0023481168 0.0021932959 0.0026756225 0.0052579553 0.00263394 0.0024830888 0.0058176923 0.002903884 0.0025406503 0.0036045478 0.0026240156 0.0048252507 0.0043171206 0.00399557 0.0025049224 0.0040134336 0.002344147 0.0029138085 0.002447361 0.004487821 0.0035271372 0.0033663618 0.003243299 0.0037256256 0.002362011 0.0028840352 0.0035430165 0.0049026613 0.0043528485 0.0025644691 0.0038308245 0.0034259083 0.005109089 0.0024036935 0.0032512385 0.0029098387 0.0037732627 0.0040848893 0.003296891 0.0026121063 0.004023358 0.004465987 0.008070535 0.008225355 0.0027232596 0.002600197 0.0028681562 0.0026954713 0.002494998 0.002258797 0.002631955 0.0033862107 0.0030110676 0.0029257177 0.0060658026 0.0032988759 0.0020662632 0.008536982 0.0033604072 0.009279328 0.002139704 0.0022488725 0.0029475514 0.008945868 0.0024691946 0.02090082 0.0023818598 0.007320249 0.0021853563 0.0022786458 0.002379875 0.0020563388 0.0020841274 0.0023381924 0.0023223134 0.0027371538 0.0018697599 0.0019312913 0.0025704238 0.0021337494 0.0019412157 0.0021952807 0.0022607818 0.0022151296 0.0019928226 0.0023917842 0.002717305 0.0026418795 0.0019352611 0.002494998 0.0021158855 0.0021178704 0.0020265656 0.0019769436 0.002461255 0.0021873412 0.0021615378 0.00229254 0.002258797 0.0020960367 0.002004732 0.0022052051 0.00246324 0.0021198553 0.0019888529 0.0021476436 0.0025247713 0.0025168317 0.004194058 0.0026379097 0.0029257177 0.002393769 0.0024017086 0.0022607818 0.0023699505 0.0021635226 0.0023600261 0.0023401773 0.007981215 0.007848228 0.003874492 0.0048470846 0.0037276105 0.002272691 0.003888386 0.0049721324 0.004692264 0.0043488787 0.0028264737 0.0026478341 0.007745014 0.002189326 0.0027470782 0.002782806 0.003396135 0.0029098387 0.002496983 0.002445376 0.0025009527 0.0020960367 0.0023739203 0.0021932959 0.0031619188 0.0023580412 0.0023897993 0.0025763784 0.002836398 0.0022032203 0.0022865853 0.0021873412 0.0042714686 0.0029078538 0.002240933 0.002362011 0.0034239234 0.0029316724 0.002290555 0.0022389481 0.009981977 0.003789142 0.0024930132 0.004400486 0.004791508 0.0022508574 0.002566454 0.00288602 0.0050515276 0.0025922575 0.0022548272 0.002987249 0.0038288396 0.0026041667 0.0041226023 0.0029296875 0.0052063484 0.0030686294 0.002953506 0.0038149455 0.004602944 0.0039300686 0.004906631 0.0349657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001723404 4.3756365e-05 3.778959e-05 4.972314e-06 4.3756365e-05 1.2928017e-05 1.9889256e-05 2.486157e-05 1.8894794e-05 7.955703e-06 1.6905868e-05 6.9612397e-06 3.9778515e-06 1.0939091e-05 1.6905868e-05 4.27619e-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 0.007565873 1.5911406e-05 0.00028242744 4.972314e-05 0.00019889257 8.452934e-05 0.0011565603 0.00057579397 0.00011933554 3.3811735e-05 1.7900331e-05 5.966777e-06 0.00084231 6.9612397e-06 4.8728678e-05 0.0012152336 0.014399822 0.00024861572 0.0011883831 0.0001899424 0.0012788792 0.0004087242 0.0029664827 0.0015951184 0.00010242967 0.00013823033 6.96124e-05 7.1601324e-05 0.00017999778 0.00014021926 8.452934e-05 0.001377331 0.011858969 0.00033911184 0.0005201041 0.000348062 0.001271918 0.0005161262 0.0015702568 0.000896011 0.00050518714 0.0001233134 0.00014618604 0.00012828571 0.0003689457 0.00019292579 0.00024961017 0.0013315857 0.009469275 0.0006444119 0.00036297893 0.00028342192 0.0014519157 0.00044850275 0.0018526843 0.0011883831 0.0007816478 0.00023071538 0.00019392025 0.00027447173 0.00040574084 0.0003828682 0.000668279 0.001727382 0.008570281 0.00037292356 0.0008094927 0.00073391356 0.0017442878 0.0008462879 0.0044154148 0.0027437229 0.00018795347 0.0002436434 0.00028938867 0.00032320042 0.00032717828 0.00032021702 0.00050419266 0.0020078204 0.009499109 0.00073490804 0.00083932665 0.00070507417 0.0012560065 0.0008482768 0.0014499268 0.0013753421 0.00069910736 0.00060861127 0.00067026797 0.00084231 0.0009149058 0.00062054483 0.001216228 0.004196633 0.008443984 0.0005877275 0.0010322524 0.0020008592 0.0021669345 0.0016836256 0.0010024186 0.0017681549 0.005515291 0.0008631937 0.00095368986 0.0012589899 0.006194509 0.0018546731 0.0026890275 0.0088278465 0.058630545 0.009111268 0.0062064426 0.008844753 0.019017113 0.016183889 0.008454923 0.012622717 0.036835898 0.0027944406 0.002937643 0.005704239 0.024233071 0.004565579 0.015141691 0.029408256 0.016616479 0.003074879 0.0022096965 0.0032757604 0.0060244557 0.0056694327 0.0030559844 0.0055580526 0.011928582 0.0011167817 0.001149599 0.001514567 0.006685774 0.0025338912 0.005367116 0.009758663 0.03135243 0.029925376 0.029444056 0.029203396 0.029610131 0.029543502 0.030210786 0.029820956 0.02988858 0.02931378 0.029303836 0.029735433 0.029355548 0.029847808 0.029939298 0.030083494 1844.0 9.449566 17425.0 0.02364419 0.003902439 0.0054519367 0.0046484936 0.0064849355 0.0044189384 0.0040172166 0.0064275465 0.0052797706 0.005107604 0.0045911046 0.005394548 0.0052223816 0.0049928264 0.007575323 0.0059110476 0.008034433 0.005394548 0.005681492 0.0058536585 0.005164993 0.0035007175 0.004533716 0.003615495 0.0050502154 0.0054519367 0.0060832137 0.0062553803 0.0057962695 0.0043615494 0.005509326 0.005164993 0.009698709 0.010559541 0.006025825 0.0109038735 0.008837877 0.007804878 0.010043042 0.010789096 0.007747489 0.008263988 0.0041893832 0.0037302726 0.008034433 0.0068292683 0.0067144907 0.0057962695 0.017675754 0.007517934 0.0066571017 0.014117647 0.00866571 0.006312769 0.010674318 0.011764706 0.007517934 0.0059110476 0.0070588235 0.004705882 0.0071162125 0.004763271 0.004705882 0.011477762 0.0076901005 0.028292682 0.008436155 0.021061692 0.019741751 0.05446198 0.009813487 0.010674318 0.009985653 0.02507891 0.011477762 0.0061406028 0.021807747 0.022553802 0.029210905 0.04183644 0.017101865 0.015380201 0.033342898 0.039885223 0.03994261 0.015552367 0.008436155 0.0064849355 0.007747489 0.011018652 0.005164993 0.0033285508 0.0040746056 0.0035581063 0.0040172166 0.0055667143 6.1730657 0.0 2.0 0.0 6.0 503808.0 536576.0 0.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 1261616900.0 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 11.0 0.0 5.0 1.0 5.0 1.0 181248.0 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 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181248.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8095636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9462895 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6598916 0.0 6.987507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39846.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -247712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -181132.0 0.0 56632.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 225860.0 56632.0 479232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 217240.0 0.0 0.0 420.0 188416.0 96.0 225148.0 0.0 0.0


Input: 0.007624382 0.0066026016 0.0065972633 0.0057110796 0.006794786 0.0054345476 0.006455794 0.0052124676 0.0070937397 0.0050106742 0.0056310026 0.0051681586 0.006501171 0.005118511 0.0053550047 0.004990388 0.0069661504 0.004479498 0.0050325617 0.0042147106 0.0056496873 0.0041805445 0.0045814626 0.005094488 0.0054879324 0.0036296158 0.0041794768 0.004140506 0.0045697177 0.0035612837 0.0035821036 0.003691008 0.006286031 0.004713856 0.004126626 0.0036701881 0.0051793694 0.0040065106 0.0041410397 0.00389814 0.0044682873 0.0037849648 0.003563419 0.0040598954 0.004375398 0.0038057847 0.003752934 0.004529679 0.004961027 0.003072815 0.0035415313 0.0029633767 0.0045601088 0.0030850933 0.0036547065 0.0042675612 0.0041111447 0.002850735 0.002948429 0.0038137925 0.003715565 0.0027033938 0.0026975216 0.003131004 0.0058119763 0.0045254086 0.004659404 0.004234463 0.004376466 0.0039872923 0.0041698674 0.0037379866 0.005399848 0.0038682448 0.0039291033 0.003598119 0.004205101 0.0040091802 0.0033717684 0.0032922255 0.004838776 0.0031294026 0.0037134297 0.003597585 0.003915757 0.003511636 0.0036237435 0.004116483 0.004717593 0.0029660459 0.0035313882 0.0033258577 0.0034849436 0.0030146257 0.002885969 0.004510995 0.005076337 0.0037620096 0.0031261996 0.0027530415 0.0040358724 0.0028534045 0.0030882964 0.002865149 0.0042184475 0.0035959836 0.0031123194 0.0028929089 0.0039942325 0.00338725 0.0031705087 0.004222718 0.004510995 0.0024733064 0.0032169532 0.0025918202 0.004374864 0.0038378155 0.0029297443 0.003850094 0.003819665 0.0025379017 0.0023051451 0.0025720678 0.003356287 0.002627054 0.0028208399 0.006023379 0.0059988224 0.004377533 0.0043300213 0.0041244905 0.004713856 0.0038794556 0.0038682448 0.0033845808 0.0041970937 0.003864508 0.0030637395 0.0042515458 0.0035132375 0.0036168036 0.002855006 0.0025848802 0.005328846 0.0030600026 0.0035949158 0.0028640814 0.0034139422 0.002819772 0.0029943397 0.0029222704 0.0033215869 0.0023067466 0.0026975216 0.0030012797 0.0031742456 0.0022074513 0.0024305987 0.0024871863 0.0041485135 0.0031907947 0.0029003827 0.0024492834 0.0040017064 0.002861412 0.0030818903 0.00271674 0.0032911578 0.002630257 0.0024594264 0.0028320507 0.0033792423 0.0028907736 0.0026676261 0.0033343993 0.004673284 0.0027402292 0.002658017 0.0023168896 0.003881591 0.0026468062 0.0032633978 0.003404867 0.003802048 0.002485585 0.0028966458 0.0029404212 0.0032463148 0.0023836202 0.0026206477 0.0058082393 0.0055557303 0.0038495602 0.00403694 0.0036968803 0.0038239355 0.0025453756 0.0035650206 0.0032463148 0.0041351677 0.0029906027 0.0023531911 0.0024514187 0.0026734984 0.0021519314 0.0020307484 0.0026863108 0.004413301 0.0027114016 0.0035660882 0.0027578461 0.0035506068 0.0023318373 0.0032302993 0.002872089 0.0041816123 0.0024450126 0.0029777903 0.0031288688 0.0031806517 0.0024999988 0.0027706583 0.004562244 0.005096623 0.0031678395 0.0027946813 0.0025960908 0.0041634613 0.0018994224 0.0018428348 0.0023339726 0.0038324771 0.0025918202 0.0024738403 0.004264358 0.0033130455 0.002671363 0.0022651067 0.0035201774 0.0054793907 0.003031175 0.0025245557 0.001945867 0.00402306 0.0025117432 0.0027818691 0.0027658537 0.0056032427 0.0019885746 0.003384047 0.0024247265 0.004618298 0.0034096714 0.005550926 0.055458546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002719203 2.3505881e-05 2.4040106e-05 1.8430748e-05 2.457433e-05 2.4307217e-05 3.7128608e-05 2.9649464e-05 1.14858285e-05 1.01502665e-05 5.6093577e-06 1.3088502e-05 1.1218715e-05 9.34893e-06 1.2020053e-05 2.0567646e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.094823256 0.0730317 0.06835216 0.056075417 0.067168854 0.058865137 0.05613044 0.05383194 0.06262848 0.048625655 0.04884175 0.051769834 0.05179227 0.051181383 0.048825987 0.10750869 9085.0 5.6915793 51708.0 0.017018642 0.012299838 0.010849385 0.010114489 0.015374797 0.010578634 0.010578634 0.011139476 0.012725304 0.01007581 0.009282896 0.010133828 0.012705964 0.010501277 0.010791367 0.010655992 0.013711612 0.007967819 0.010211186 0.0086060185 0.012164462 0.008548 0.0089347875 0.010578634 0.012957376 0.009495629 0.008006498 0.010714009 0.009921095 0.0074069775 0.0081225345 0.008586679 0.015742244 0.012164462 0.012667285 0.012493231 0.012899358 0.010307883 0.0116616385 0.010714009 0.01589696 0.011448906 0.010346562 0.009824399 0.0124738915 0.010249864 0.009901756 0.010462598 0.014639901 0.00887677 0.010191847 0.0106946705 0.011971069 0.00916686 0.010037132 0.010037132 0.01405972 0.008006498 0.009514969 0.009495629 0.009592326 0.006652742 0.0077550863 0.010810706 0.013905005 0.01193239 0.009012145 0.008702715 0.01224182 0.008973466 0.00794848 0.0086060185 0.01251257 0.011429566 0.008219231 0.008373946 0.012280499 0.010133828 0.008664036 0.010733349 0.0137502905 0.0064013307 0.010327222 0.008238571 0.0140790595 0.01038524 0.0077550863 0.010191847 0.01131353 0.0075036744 0.0061305794 0.007194245 0.008470642 0.0059371856 0.00732962 0.009805059 6.5524516 1.0 0.0 0.0 23.0 1873201.0 3108864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1524799200.0 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 -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 5.0 0.0 5.0 0.0 2424832.0 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 0.0 0.0 0.0 0.0 0.0 -2424832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.804994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2424832.0 0.0 0.0 0.0 0.0 0.0 671744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 700.0 3104688.0 4016.0 3100672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3100216.0 0.0 0.0 0.0 0.0 0.0 0.0 806.0 917504.0 0.0 0.0


Input: 0.2073312 0.00892759 0.009733569 0.0037482597 0.0033910647 0.003956624 0.0034093824 0.0037047553 0.0033681674 0.0036772788 0.003356719 0.0039818105 0.0032697099 0.0049457797 0.004519893 0.008604741 0.0127170645 0.0037963437 0.0033635881 0.0040001282 0.0034620457 0.0037024657 0.0033750366 0.0036566714 0.0033429808 0.0037871848 0.0033864852 0.0038261102 0.0032307848 0.0036704096 0.0033681674 0.0038329791 0.0026652256 0.0025324223 0.002486628 0.0026125624 0.0027522347 0.0025209738 0.0026675153 0.0025415812 0.0024957869 0.0024614413 0.0025873755 0.0024568618 0.0025370019 0.0025072354 0.0025461607 0.0024706002 0.0030063929 0.0029880751 0.0029216735 0.0030041032 0.0042955014 0.0028255056 0.0030338694 0.002974337 0.0031781213 0.0030155517 0.0029789163 0.0030636357 0.0029605986 0.003086533 0.0029079353 0.003022421 0.0026927022 0.0025850858 0.0038306895 0.0026972815 0.0029468604 0.002447703 0.0028323748 0.0026285902 0.00979997 0.0025003664 0.002486628 0.0025072354 0.0024499926 0.0024957869 0.0024179367 0.002534712 0.01099978 0.0026766742 0.0085108625 0.0026034035 0.0024041985 0.002614852 0.0025942447 0.0027362069 0.0026446183 0.002534712 0.0025049457 0.0027911598 0.002823216 0.0037207832 0.002463731 0.0024499926 0.0025690577 0.002733917 0.0025965343 0.0026354594 0.0027293377 0.0028323748 0.002502656 0.0025644782 0.009396981 0.002662936 0.0036933068 0.0026331698 0.0026583564 0.0024912076 0.0026446183 0.0028048982 0.002624011 0.0025301327 0.0026927022 0.002662936 0.0028117674 0.002447703 0.002646908 0.0026308799 0.0025530297 0.0026331698 0.0025163942 0.002637749 0.0025370019 0.0025850858 0.002511815 0.0024843384 0.0025896651 0.002566768 0.0025209738 0.004989284 0.0025530297 0.009754176 0.002862141 0.0025553196 0.002559899 0.0026583564 0.0027201788 0.0025370019 0.002624011 0.0026491976 0.0025873755 0.0025919548 0.002749945 0.0026652256 0.0025186841 0.002733917 0.0026354594 0.002559899 0.002534712 0.0025163942 0.0027155993 0.002488918 0.002624011 0.0024362544 0.0025163942 0.0025141046 0.0026904126 0.0025530297 0.0025301327 0.002582796 0.0024087778 0.0026125624 0.0024499926 0.0026423286 0.0025072354 0.0025049457 0.0025392915 0.0025461607 0.0028117674 0.0027041507 0.0026812537 0.002575927 0.002559899 0.0024843384 0.0025324223 0.0025163942 0.0025095253 0.0025232635 0.0025850858 0.0026079828 0.002438544 0.002624011 0.009786232 0.0026217212 0.0024934972 0.0026835434 0.0027133096 0.0025415812 0.0026514875 0.0025163942 0.0051495642 0.0026995714 0.0025690577 0.0034391487 0.0026743845 0.002782001 0.0026217212 0.002598824 0.0025072354 0.0026743845 0.0026102725 0.0025553196 0.0025919548 0.0026011136 0.0025141046 0.0025530297 0.0025644782 0.0027087303 0.0025392915 0.002511815 0.0025873755 0.0025484504 0.0024568618 0.0024683103 0.002559899 0.002559899 0.0024614413 0.0024912076 0.002447703 0.0026423286 0.0025850858 0.0026079828 0.0026904126 0.0024568618 0.0025850858 0.0025301327 0.0024591514 0.0024660206 0.0027384965 0.0025324223 0.007324791 0.0024934972 0.0026263006 0.002685833 0.0024362544 0.0026125624 0.002511815 0.0024362544 0.0024728898 0.0025576092 0.0025713474 0.0026079828 0.0025461607 0.0025713474 0.0026011136 0.0025782166 0.0047969483 0.002678964 0.0025301327 0.002559899 0.0027224685 0.0026927022 0.0024774692 0.010175483 0.14588235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016474035 0.011761259 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036017923 0.00059972424 2.2977942e-05 0.00024126838 2.8722427e-05 2.0680147e-05 4.02114e-05 1.7233457e-05 2.757353e-05 1.4935662e-05 1.7233457e-05 1.03400735e-05 2.2977942e-05 9.191176e-06 1.7233457e-05 1.3786765e-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 0.0024184282 0.0018210019 1.03400735e-05 1.953125e-05 1.8382352e-05 7.238051e-05 1.953125e-05 2.4126839e-05 9.6507356e-05 1.4935662e-05 2.9871324e-05 5.6295958e-05 1.1488971e-05 2.2977942e-05 5.170037e-05 1.8382352e-05 0.0017336856 2.8722427e-05 5.055147e-05 3.7913604e-05 3.102022e-05 4.1360294e-05 4.1360294e-05 3.216912e-05 6.204044e-05 3.7913604e-05 4.02114e-05 2.8722427e-05 4.9402573e-05 3.102022e-05 4.710478e-05 5.9742648e-05 0.00403148 0.00018037684 5.055147e-05 0.0004319853 0.0002722886 0.00018152574 0.0010730699 0.00045726102 6.204044e-05 4.4806984e-05 4.4806984e-05 5.055147e-05 5.7444853e-05 3.6764704e-05 3.90625e-05 4.4806984e-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 0.00079733453 5.055147e-05 5.3998163e-05 0.0008432904 5.514706e-05 4.9402573e-05 6.204044e-05 3.561581e-05 6.433824e-05 4.250919e-05 5.2849264e-05 4.710478e-05 5.2849264e-05 5.055147e-05 4.9402573e-05 4.5955883e-05 0.017817095 0.0030893842 0.00055376836 0.00641659 0.002933134 0.004692096 0.0027688418 0.00071691175 0.0032651655 0.0009972426 0.000613511 0.0024092372 0.00140625 0.0006146599 0.001808364 0.0016624541 0.040364202 0.0071530333 0.0010477941 0.0019335938 0.0068370863 0.011567095 0.0064590992 0.001027114 0.0072598807 0.0008754596 0.00087086397 0.005804228 0.0034340534 0.0008628217 0.004226792 0.008512178 0.0049299174 0.0017957261 0.0002734375 0.00032513787 0.000926011 0.0015360754 0.00083295035 0.0003090533 0.0010363051 0.0003159467 0.00040441175 0.0008134191 0.0005836397 0.0003527114 0.00060661766 0.001429228 0.00068014703 0.00010569853 0.00013212317 9.995404e-05 9.535845e-05 0.00010914522 0.000107996326 0.00011374081 0.00014935662 8.846507e-05 0.00010914522 0.00011144301 0.000107996326 8.961397e-05 0.00010914522 0.00014361214 0.039609376 0.039357767 0.03877068 0.039078586 0.038815487 0.038995866 0.03887293 0.038901653 0.039473806 0.0391659 0.03910271 0.039177388 0.03956916 0.03881434 0.038789064 0.03938764 2609.0 5.9340744 15482.0 0.0062653404 0.0062007494 0.0063299313 0.0053610643 0.0051027 0.005619429 0.004715153 0.0058777938 0.005167291 0.0047797444 0.00568402 0.0045213797 0.0052964734 0.0054256557 0.0058132024 0.0049735177 0.011432632 0.011432632 0.010722129 0.010915902 0.010592947 0.0098824445 0.011690996 0.010915902 0.012595272 0.011561814 0.012207725 0.01136804 0.010592947 0.010592947 0.011109676 0.011174267 0.0058777938 0.0072987988 0.006523705 0.005619429 0.0062653404 0.0058132024 0.006136158 0.0062653404 0.069629245 0.006588296 0.004263015 0.0049089263 0.0068466607 0.006071567 0.0058132024 0.0053610643 0.10386255 0.0051027 0.07046893 0.005167291 0.00568402 0.0066528874 0.0058132024 0.007750937 0.0063299313 0.004650562 0.00568402 0.0072987988 0.0062653404 0.035783492 0.00568402 0.0062007494 0.005619429 0.008719804 0.0062007494 0.0063945227 0.008267665 0.011690996 0.0059423847 0.006975843 0.070791885 0.007492572 0.0052964734 0.006588296 0.0080093015 0.0063945227 0.0067174784 0.008267665 0.0069112517 0.0060069757 0.009236533 0.007750937 0.010076217 0.006588296 0.005554838 0.006136158 0.0058777938 0.008138483 0.0057486114 0.0054256557 0.00568402 0.005167291 0.007105025 0.005619429 5.9086933 0.0 0.0 0.0 7.0 436736.0 450560.0 0.0 0.0 41.0 1.0 1.0 0.0 0.0 0.0 1395740700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.0 0.0 4.0 0.0 144384.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -144384.0 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 0.0 0.0 0.0 0.0 0.0 0.0 288768.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2215157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5015864 0.0 -5.038151 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9745903 0.0 0.0 0.0 0.0 0.0 0.0 -1068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -144008.0 0.0 -629.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 288560.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 155712.0 288560.0 159744.0 0.0 0.0 0.0 0.0 6172.0 141932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 151552.0 0.0 0.0 0.0 0.0