Input: 0.101707175 0.016411072 0.0097849155 0.007228974 0.01047936 0.005840085 0.011868249 0.0060185185 0.0052710264 0.004060571 0.01133777 0.0036410107 0.0029658566 0.0028694058 0.0040653935 0.0027729552 0.0030767748 0.007214506 0.0056568286 0.00472608 0.0029272763 0.0033323688 0.0049479166 0.0034866899 0.0033420138 0.0032118056 0.0035300925 0.0031732253 0.003370949 0.0031828703 0.0038001544 0.0026475694 0.0053288965 0.002671682 0.0023485725 0.0071903937 0.004875579 0.002734375 0.006693673 0.0024016204 0.00863233 0.0023099922 0.004576582 0.006674383 0.0032310956 0.0057822145 0.0025559415 0.002136381 0.006679205 0.0048611113 0.004740548 0.004591049 0.004658565 0.004277585 0.004591049 0.004224537 0.005078125 0.004750193 0.0019097222 0.0018229167 0.0020495756 0.014819637 0.0020592206 0.0019820603 0.0023244598 0.0063175154 0.00470679 0.005063657 0.0053096064 0.00510706 0.005367477 0.004653742 0.0046923226 0.0050925924 0.0046248073 0.004721258 0.0053578317 0.004938272 0.004822531 0.004417438 0.004576582 0.005222801 0.005005787 0.005251736 0.004822531 0.00470679 0.0045187115 0.004701968 0.0050829477 0.004957562 0.0044270833 0.0023341049 0.0020592206 0.0020399306 0.0020543982 0.005251736 0.0022135417 0.0069733798 0.00508777 0.0059558256 0.005111883 0.009770447 0.005261381 0.0062114196 0.00470679 0.006539352 0.004484954 0.004779128 0.0060185185 0.005521798 0.0064091436 0.010146605 0.004870756 0.009818673 0.0065634646 0.0071518132 0.008222415 0.0054446375 0.0046199844 0.005150463 0.004489776 0.005623071 0.0041087964 0.0038580247 0.0019772376 0.0030044366 0.0042582946 0.002170139 0.0039014274 0.0034770449 0.00234375 0.002015818 0.0022762346 0.002252122 0.0020929785 0.002015818 0.001861497 0.002261767 0.0021942516 0.0018518518 0.002416088 0.002117091 0.0020640432 0.0019290124 0.0019917053 0.0022907022 0.0018807871 0.0019338349 0.0019145447 0.0021122685 0.0018036265 0.0018470293 0.0021460261 0.0020736882 0.002425733 0.0020688658 0.0023003472 0.0022569445 0.0019675926 0.001996528 0.0020640432 0.0019290124 0.0022569445 0.0028452931 0.0020592206 0.0020978008 0.00194348 0.0019675926 0.0021508487 0.002469136 0.0024112654 0.002271412 0.0021412037 0.0022858796 0.002117091 0.0023051698 0.0021122685 0.0020302855 0.0020688658 0.0021412037 0.002242477 0.0022135417 0.0016830632 0.0019386574 0.001953125 0.0019483025 0.0018229167 0.0017698688 0.0019820603 0.0018518518 0.001798804 0.0026765047 0.0020833334 0.0020688658 0.0017939815 0.0019000772 0.0019241899 0.0019917053 0.0019290124 0.0020013503 0.0019917053 0.0024739583 0.0018277392 0.0017891589 0.002117091 0.0019386574 0.001953125 0.0018373843 0.0032986111 0.001871142 0.0016444831 0.0019579476 0.0018036265 0.0018470293 0.0018325617 0.0018952546 0.0020736882 0.0020495756 0.001808449 0.0017939815 0.0019338349 0.0019675926 0.002898341 0.0018807871 0.0022280093 0.0018952546 0.0018952546 0.0017746914 0.0020302855 0.0018470293 0.001972415 0.0019868826 0.0019338349 0.0021604938 0.0020013503 0.0019579476 0.0019145447 0.002179784 0.0020447532 0.0019290124 0.0018856096 0.0020399306 0.002025463 0.0027006173 0.002117091 0.0020495756 0.0017361111 0.0021315587 0.0022038966 0.0020013503 0.0018325617 0.0019675926 0.001861497 0.001953125 0.002353395 0.0033371914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042536343 0.0007360658 0.00032795008 9.474114e-05 0.0015911653 0.0009134017 0.0071638874 0.004110308 0.0004421253 7.0448536e-05 1.943408e-05 2.672186e-05 1.7004819e-05 1.4575559e-05 8.016558e-05 3.886816e-05 0.014512399 0.0031701843 0.0013409515 0.00041540345 0.0005247202 0.000607315 0.00042026196 0.00039111087 0.0015012827 0.0004251205 0.00041540345 0.00015304338 0.00025021378 0.00019919932 0.00032795008 0.00022106266 0.0765727 0.012406231 0.0192033 0.004115166 0.004319224 0.003289218 0.009967254 0.010057136 0.0023685284 0.001654326 0.0013871074 0.0014575559 0.0010397233 0.0024632695 0.0012753615 0.002652752 0.053980585 0.010419096 0.01736678 0.03929571 0.04043746 0.03210267 0.044946168 0.037072938 0.0027596394 0.0015595849 0.0019069691 0.0011806203 0.000794368 0.0016251749 0.0011271766 0.001982276 0.018204873 0.0044236826 0.002764498 0.00097170396 0.0011150303 0.0013968245 0.0034155394 0.0017539257 0.0016227457 0.00054172496 0.0008429532 0.00057330535 0.00058302237 0.00043969604 0.00048342274 0.0006680465 0.0060804375 0.0013093711 0.0005028568 0.0004615594 0.0005441542 0.00043240827 0.0006534709 0.00037896456 0.00060488575 0.00051986164 0.0011271766 0.0006291783 0.0003765353 0.00032309158 0.0003886816 0.00059273944 0.001644609 0.0004615594 0.0001093167 0.00014089707 0.00013846782 0.0001093167 0.00024049674 0.00015061411 0.00014089707 0.00020891636 0.0005951687 0.00038382306 0.0001336093 9.959966e-05 0.0001336093 0.0002842234 0.0025580106 0.000597598 0.0006947683 0.00037410602 0.0006607587 0.0005465835 0.00059031014 0.00047613494 0.00037410602 0.0003571012 0.00063403684 0.00061460276 0.00036681825 0.00033280862 0.0003765353 0.00039596937 0.02800208 0.028138118 0.02786847 0.027394764 0.028385902 0.027778588 0.028121114 0.02718342 0.02721014 0.027559955 0.028310595 0.027171273 0.027948637 0.02694535 0.02747493 0.027292736 2168.0 22.240314 48217.0 0.0011199369 0.00058070803 0.00045627062 0.022274302 0.011551943 0.00055996847 0.0019495199 0.00080884335 0.00089180167 0.00074662466 0.0009747599 0.00080884335 0.0010784578 0.0015139888 0.0022606135 0.00072588504 0.010846796 0.010950495 0.011344546 0.010597922 0.011510463 0.009913516 0.01165564 0.010535703 0.011448245 0.011365286 0.00089180167 0.00033183317 0.0006844059 0.055727232 0.00074662466 0.00047701018 0.0006014476 0.016612398 0.012091171 0.013957732 0.012381525 0.013169629 0.012236348 0.0121741295 0.011012713 0.012962233 0.011386026 0.011821557 0.011863036 0.0116763795 0.011759338 0.011323807 0.011800817 0.014351784 0.012609661 0.013854035 0.011966733 0.0121741295 0.011137151 0.012070431 0.010826057 0.011033453 0.010577182 0.00080884335 0.0006429268 0.00051848934 0.0006429268 0.0140614305 0.0006429268 0.019267064 0.013314806 0.017213846 0.014040691 0.0330174 0.014538441 0.017110148 0.0120082125 0.019101147 0.010950495 0.0125059625 0.017296804 0.014496962 0.01943298 0.020988448 0.013169629 0.032332994 0.020179605 0.018686356 0.025571894 0.014662879 0.01165564 0.014994712 0.011987473 0.01358442 0.009996475 0.00041479146 0.0006221872 0.0009954995 0.0009747599 0.00080884335 6.0738916 0.0 0.0 0.0 13.0 207360.0 229376.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1424566100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 116736.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116736.0 0.0 89600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6016765 0.0 7.9975266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -116632.0 0.0 89600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 124728.0 89600.0 139264.0 0.0 0.0 0.0 0.0 12.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.020645143 0.004533956 0.004212032 0.0041555753 0.004256477 0.0039117304 0.004044464 0.0038498684 0.0040456653 0.0038582769 0.0038865053 0.0037874056 0.003876295 0.0038853039 0.0038552738 0.003974794 0.0039327517 0.003717135 0.0037189368 0.0038120304 0.003827646 0.0039051238 0.003810829 0.003757976 0.0037964147 0.0037267446 0.0037597779 0.0038270454 0.003859478 0.0038456642 0.003694312 0.003830649 0.004073293 0.0037922105 0.0037591772 0.0038096278 0.003889508 0.0036498674 0.003714132 0.0036570746 0.0038402586 0.0037417598 0.003685303 0.003760979 0.0039009196 0.0037603783 0.0038012194 0.0039801993 0.004160981 0.003786805 0.003862481 0.0038666853 0.0038102285 0.0037850032 0.003838457 0.0037369549 0.0038588773 0.0037513694 0.0037543725 0.0039399588 0.003827646 0.0038060243 0.003833652 0.0037699882 0.0042696903 0.0038696884 0.003765784 0.0037717898 0.0038630816 0.004118338 0.003810829 0.0039603794 0.003803622 0.0037982163 0.0036810988 0.0037393572 0.0038576762 0.003942962 0.0037435615 0.0037946128 0.0041465666 0.0037994178 0.0037165345 0.004015635 0.003763982 0.0038919107 0.004013833 0.003986806 0.0037417598 0.0037597779 0.0037477657 0.003700318 0.0037645826 0.0037771952 0.0038012194 0.0038432616 0.003813832 0.0039543733 0.0037850032 0.0038859046 0.0039375564 0.004266687 0.0039285473 0.0039069257 0.0039808 0.0040126317 0.0039699893 0.0037705887 0.0040678876 0.0038630816 0.0039057245 0.004159179 0.003918938 0.0037916098 0.004003623 0.004103323 0.0043225433 0.004071491 0.0037711894 0.0037862044 0.0038582769 0.0037826009 0.0037826009 0.0037507687 0.0038474659 0.0039147334 0.0037039218 0.003803622 0.004132753 0.003948367 0.0039597787 0.0039765956 0.0037795978 0.0039033222 0.0038300485 0.003777796 0.003882301 0.0039195386 0.0037303483 0.004213834 0.003818637 0.0038600785 0.0038606792 0.0038648834 0.0037525706 0.0037219399 0.0037339518 0.0037219399 0.0038162346 0.00366248 0.0037225403 0.0037177356 0.0038210393 0.0036877054 0.0038204389 0.003879298 0.0036865042 0.003717135 0.003741159 0.0037417598 0.0037687868 0.0038030213 0.0036510685 0.0037711894 0.0037333514 0.0037717898 0.0037537718 0.003618636 0.003762781 0.0037525706 0.0037435615 0.0037910093 0.0036991169 0.0036955134 0.0037795978 0.0038961149 0.003775994 0.0036823 0.0036522697 0.0036810988 0.0036889066 0.003762781 0.003718336 0.0037447626 0.0037099277 0.0036835012 0.0036967145 0.003697315 0.003850469 0.0037075253 0.003741159 0.0037531713 0.0040889084 0.0038042224 0.0037964147 0.0038498684 0.0037075253 0.0037880063 0.003777796 0.0037099277 0.0038210393 0.0036630807 0.0037405584 0.0038174358 0.0037009188 0.003798817 0.0037441622 0.0036937115 0.0038841027 0.0037435615 0.003739958 0.003745964 0.003775994 0.0036979157 0.003715333 0.0037225403 0.0038997184 0.0036762939 0.0037225403 0.0036666843 0.0037363542 0.0038288473 0.0036895073 0.003738156 0.003803622 0.0037027204 0.00373215 0.0037573755 0.0037801983 0.0037039218 0.0037495675 0.0037615797 0.0040919115 0.0038258443 0.0037615797 0.003850469 0.0038570757 0.0038120304 0.003763982 0.0038474659 0.003899118 0.0036588765 0.0037111288 0.003786805 0.0038720907 0.0036348524 0.0038042224 0.0038570757 0.0039663855 0.003838457 0.003830649 0.0038342527 0.003971791 0.0038474659 0.0038642827 0.006904538 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053939444 3.3073238e-06 8.117976e-06 3.6079896e-06 2.4053263e-06 3.6079896e-06 5.1113184e-06 2.4053263e-06 2.3451932e-05 4.509987e-06 3.3073238e-06 3.0066578e-06 4.8106526e-06 2.705992e-06 2.1046606e-06 3.9086553e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013848667 2.1046606e-05 5.502184e-05 1.8941944e-05 2.856325e-05 4.2694544e-05 5.3217846e-05 3.7583224e-05 4.149188e-05 9.621305e-06 1.503329e-05 1.5935288e-05 1.6536618e-05 1.4131292e-05 1.924261e-05 7.3362455e-05 0.003965481 6.193716e-05 0.0001494309 6.434248e-05 0.00011816166 0.00017348416 0.00027781518 0.0001247763 0.00015333956 1.2627964e-05 1.4732624e-05 2.1948603e-05 3.788389e-05 1.6837284e-05 3.2471904e-05 0.00031660107 0.0019669556 2.5255928e-05 8.358509e-05 6.584581e-05 0.00011816166 9.14024e-05 0.0003175031 0.00013860693 9.2003735e-05 3.1269243e-05 2.4955261e-05 1.2026631e-05 2.1647937e-05 1.5333955e-05 1.14253e-05 6.283915e-05 0.002003637 2.5556592e-05 0.00019723676 0.000226702 0.00024985327 0.0001942301 0.0010090345 0.00050451723 1.864128e-05 3.006658e-05 3.42759e-05 5.8028498e-05 0.000109743014 5.1714516e-05 1.1725966e-05 0.00020114542 0.00052676647 8.719308e-06 9.019974e-06 1.503329e-05 4.2393876e-05 3.698189e-05 9.531106e-05 4.509987e-05 6.283915e-05 3.998855e-05 3.2471904e-05 5.4721175e-05 5.7727833e-05 2.1347272e-05 9.019974e-06 0.0001740855 0.0019816882 8.508842e-05 0.00014973157 0.00017468682 0.0002495526 0.00018430813 0.00032892838 0.00021948603 0.00023572198 9.0500405e-05 7.666978e-05 0.00010493236 0.00014642424 0.000101324375 6.915313e-05 0.0007279119 0.0007639918 5.1413852e-05 9.290573e-05 0.00013109029 0.0001371036 0.00012207031 0.000118462325 8.508842e-05 9.681439e-05 9.23044e-05 4.6001867e-05 5.3217846e-05 7.1859125e-05 7.817311e-05 5.983249e-05 0.00046272465 0.003869268 0.00046813666 0.00041972945 0.00056465034 0.0009588232 0.0007709071 0.00060704426 0.0006214762 0.0009873864 0.00043476274 0.00033073238 0.00033704637 0.00056044105 0.00032712438 0.0005315771 0.0017576922 0.003348515 0.0008361516 0.000678302 0.0009564179 0.0011308041 0.0010135444 0.0010905148 0.00091011537 0.0012468611 0.00025225861 0.0003331377 0.0002751092 0.00057547435 0.00033614435 0.0006921327 0.0011028422 0.060141876 0.059245292 0.058973793 0.05915419 0.05877054 0.058849618 0.059272654 0.059544455 0.059511684 0.058983114 0.059114203 0.058649976 0.058939815 0.05905497 0.05940224 0.059435915 7912.0 6.2635236 49557.0 0.012793349 0.009544564 0.010028856 0.0083943745 0.009201526 0.008818129 0.0094436705 0.008999738 0.008757592 0.009161168 0.009887604 0.0094234925 0.009504207 0.010392074 0.011622979 0.011501906 0.013196925 0.011602801 0.010876365 0.0094234925 0.00978671 0.009665637 0.009181347 0.009544564 0.010271001 0.0094436705 0.009524386 0.009241883 0.009605101 0.009726174 0.010230644 0.009181347 0.009484028 0.0104122525 0.009221705 0.012349416 0.011037795 0.010109571 0.0094638495 0.010795649 0.009080453 0.009645458 0.009221705 0.009504207 0.009907783 0.010331538 0.01029118 0.010392074 0.0094033135 0.008313659 0.009544564 0.012046734 0.010149929 0.00879795 0.0094436705 0.010513146 0.008858486 0.009080453 0.009019917 0.0094436705 0.008596162 0.009322599 0.009221705 0.008575983 0.0077082957 0.015234982 0.010069213 0.01311621 0.012208165 0.02106665 0.010331538 0.010775471 0.010331538 0.014992837 0.009342777 0.009181347 0.014084791 0.013358355 0.013479427 0.015699094 0.011401013 0.008878665 0.015113909 0.0143672945 0.018221442 0.010553504 0.009584922 0.0104122525 0.0094033135 0.010069213 0.0077688317 0.008697056 0.008999738 0.008717234 0.008697056 0.008575983 6.5572853 0.0 26.0 0.0 24.0 1664992.0 2224128.0 0.0 0.0 165.0 0.0 1.0 1.0 0.0 0.0 1517284700.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26112.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 119808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2209525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.000561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4795256 0.0 7.1853714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1638400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -418648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25609.0 0.0 119312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 34044.0 119312.0 2101248.0 0.0 0.0 13120.0 1651872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.20380254 0.004543981 0.005171582 0.0021108498 0.0020430011 0.0017075267 0.0017131808 0.0040483084 0.0013532055 0.00038070683 0.00056540617 0.00043724745 0.0004447862 0.00049944216 0.00026385623 0.00090088055 0.009427206 0.00034866715 0.0002374706 0.00031662747 0.00047117184 0.00043347807 0.00030720403 0.00027704902 0.00094045897 0.00030531935 0.00021673903 0.00024689402 0.0002996653 0.0002506634 0.00020166155 0.00037882215 0.009836183 0.00023558592 0.0029759211 0.0050830017 0.0011515439 0.014602557 0.0003090887 0.00059556117 0.001790453 0.0009875761 0.003320819 0.0005409052 0.001253317 0.00067660277 0.0009517671 0.001590676 0.0014813642 0.003929573 0.0027026415 0.0027158344 0.0010723871 0.00061252335 0.0012947802 0.000427824 0.0019318045 0.00046928713 0.0013362432 0.0007557596 0.0021410047 0.001650986 0.0019148423 0.0014644021 0.0017866836 0.0043724747 0.0014116308 0.0020034227 0.0026197154 0.0037637206 0.0012740486 0.0007840299 0.004683448 0.0026969875 0.0002808184 0.00049944216 0.0024614015 0.0021805833 0.0022088536 0.0023615132 0.0019845758 0.00029212653 0.00219943 0.004670255 0.0025725982 0.0015567517 0.00056540617 0.00062383147 0.001061079 0.0006068693 0.00026762558 0.00023935529 0.0005126349 0.0003543212 0.00015454435 0.0003712834 0.000915958 0.0036694861 0.0011100809 0.0014022073 0.002542443 0.004585444 0.001187353 0.0009969996 0.0012307008 0.002284241 0.0002544328 0.0002544328 0.0020392316 0.0013456667 0.0026988722 0.002416169 0.001892226 0.00012815873 0.0022578554 0.0061158105 0.0047588353 0.0015982148 0.00079345336 0.0029570744 0.0009969996 0.0016566401 0.0033585127 0.0001639678 0.0004033231 0.00023181654 0.00019035341 0.00026385623 0.012137386 0.058031406 0.042064335 0.040660243 0.004044539 0.0023841294 0.0022710483 0.003567713 0.0066642542 0.004253739 0.003543212 0.006219468 0.006833876 0.0042462004 0.0005672909 0.0025104035 0.0033735903 0.0010101924 0.002964613 0.0039616125 0.0021259272 0.006492748 0.0027384507 0.00804573 0.0024859025 0.0052469694 0.0017584133 0.004464824 0.0017508744 0.0015869067 0.0012928955 0.003742989 0.0028779176 0.0044403234 0.0023313581 0.0019563055 0.0065172487 0.0014757102 0.005018922 0.006707602 0.005007614 0.0032868946 0.0053430884 0.0062402 0.0016641789 0.0044554006 0.0068904166 0.006762258 0.00256129 0.00097061397 0.0006068693 0.0054241302 0.0011081961 0.0013324739 0.001066733 0.0024086304 0.0032831253 0.0039559584 0.0015134038 0.0018941107 0.006191198 0.0027214885 0.00744263 0.0041934294 0.001585022 0.00061440805 0.00040897715 0.0006407937 0.00046551775 0.00019035341 0.00033547432 0.00040520777 0.001061079 0.0004919034 0.00027516435 0.00033735903 0.0010460014 0.0011892377 0.0003580906 0.0002544328 0.0010799258 0.00029401123 0.0003731681 0.0003147428 0.00026197152 0.00020166155 0.0001922381 0.00024312465 0.00095930585 0.0002223931 0.00015642904 0.0002808184 0.0007425668 0.00020166155 0.00015077498 0.00016962185 0.0010516555 0.00021108497 0.00018092999 0.13383165 0.004044539 0.013978725 0.0072164675 0.0054203607 0.005333665 0.002470825 0.0001941228 0.0005032115 0.00039201495 0.00018846872 0.00015265968 0.00015454435 0.00045232495 0.00016773716 0.00016019843 0.00014323623 0.00016773716 0.00012438936 0.0002223931 0.00031851215 0.00096684456 0.00021108497 0.00026008685 0.00017527591 0.00025631746 0.00023181654 0.00028647247 0.0077649117 0.0057894858 1.8889024e-06 2.8333534e-06 1.8889024e-06 1.8889024e-06 9.444512e-07 9.444512e-07 0.0 9.444512e-07 0.0 0.0 0.0 0.0 1.8889024e-06 0.0 0.0 0.0018907912 3.8722497e-05 9.444511e-06 2.8333534e-06 1.4166767e-05 1.5111219e-05 2.8333534e-06 6.611158e-06 1.8889024e-06 5.666707e-06 1.8889024e-06 1.8889024e-06 9.444512e-07 9.444511e-06 3.7778047e-06 0.0018624577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002158071 7.5556095e-06 2.8333534e-06 3.7778047e-06 9.444512e-07 6.611158e-06 9.444512e-07 2.8333534e-06 5.666707e-06 0.0 0.0 3.7778047e-06 0.0 9.444512e-07 0.0 0.0016745119 0.0016017891 0.000116167495 5.666707e-06 7.5556095e-06 1.9833475e-05 1.7944572e-05 7.5556095e-06 1.0388962e-05 4.7222557e-06 7.5556095e-06 8.50006e-06 8.50006e-05 5.666707e-06 7.5556095e-06 7.5556095e-06 2.0777925e-05 0.005103814 0.0003012799 0.00011427859 0.00012750091 9.727847e-05 7.177829e-05 0.00013411207 8.972286e-05 3.211134e-05 1.4166767e-05 3.4944693e-05 0.00010672298 3.400024e-05 6.3278225e-05 4.155585e-05 0.0013703987 0.019467028 0.0019946808 0.00059689314 0.00091517315 0.00071872736 0.00027955754 0.000715894 0.00032300228 0.0002436684 0.00033433572 0.00023139053 7.838944e-05 0.0003173356 0.00015394554 0.00039100277 0.00031828004 0.07773211 0.0076585542 0.001837902 0.0024565174 0.002087237 0.0011569527 0.003052466 0.001798235 0.0015215108 0.0030685219 0.0016886786 0.0011843417 0.002570796 0.0018974023 0.001731179 0.0007432831 0.0024499062 0.000102945174 8.12228e-05 7.838944e-05 7.0833834e-05 6.422268e-05 4.911146e-05 7.272274e-05 4.816701e-05 5.005591e-05 0.00046655888 5.005591e-05 0.00010861189 8.4056155e-05 4.6278106e-05 4.5333654e-05 0.0018747356 6.422268e-05 0.00016905676 0.00012938981 0.000125612 9.255621e-05 0.00014450103 0.00014450103 0.003372635 0.00073383853 0.0008197836 0.0009690069 9.444511e-06 1.605567e-05 0.0029192986 2.0777925e-05 0.026387965 0.00078578334 0.005272871 0.0033801908 0.0035615254 0.001886069 0.0043425863 0.0035010804 0.04369031 0.010904633 0.014008099 0.010109405 0.00051472586 0.00033433572 0.038883053 0.000715894 0.051176976 0.000715894 0.019229027 0.007270385 0.010171739 0.0066999365 0.0062428224 0.0094577335 0.10576153 0.027159583 0.040606678 0.023586724 0.0006167266 0.0006318378 0.094276056 0.0006516713 0.016508061 3.966695e-05 0.011348525 0.0052719265 0.0067037144 0.004023362 0.0070484392 0.0058584306 0.03164667 0.008229948 0.010340796 0.0072836075 7.177829e-05 3.3055792e-05 0.02867637 4.911146e-05 0.0131854825 0.0015451221 0.0057479297 0.004046029 0.0093274 0.0025679627 0.005309704 0.0048639234 0.012009641 0.0020126253 0.0022449605 0.0022704606 0.003876972 0.0014383991 0.0075574983 0.0032338009 0.003405691 0.00092745107 0.0010426741 0.0013703987 0.0022260714 0.00082828366 0.001488455 0.0013052315 0.0017774571 0.00033905797 0.0003673915 0.000579893 0.0012070086 0.0007895612 0.00077917223 0.00090856204 0.0008622839 0.00029844657 0.0004335031 0.00077633886 0.00025500183 0.00027766865 0.00025216845 0.00025594627 0.00022666827 0.0002417795 0.0002417795 0.00043066972 0.00030505774 0.00034661358 0.00032583566 0.00027294637 4294.0 14.441779 62013.0 0.058794122 0.00024188477 0.023430571 0.037717897 0.00062890036 0.07279119 0.00080628257 0.0031606276 0.0055956007 0.0053375904 0.022575911 0.0005643978 0.008627224 0.003563769 0.005740732 0.011513715 0.0049183234 0.022108268 0.016351411 0.012690888 0.006111622 0.0037572768 0.003741151 0.0021608372 0.006240627 0.0012578007 0.006466386 0.00032251302 0.015658008 0.010352668 0.015367745 0.0005643978 0.004676439 0.022446906 0.0034831406 0.014255076 0.009707642 0.023333818 0.008723977 0.0051440825 0.004724816 0.015690258 0.00090303645 0.0019350782 0.0126102595 0.012981149 0.015851514 0.017931724 0.012336123 0.000693403 0.016770678 0.030477481 0.018479995 0.009256124 0.0032896327 0.0036121458 0.0019350782 0.0038056537 0.0006611517 0.0003547643 0.0009191621 0.0007417799 0.00038701564 0.0018221986 0.00020963346 0.028687533 0.0072887945 0.009288375 0.01723832 0.035863448 0.003934659 0.005740732 0.003741151 0.016254656 0.0009997904 0.0008224082 0.013964814 0.009272249 0.016480416 0.017512457 0.01190073 0.00019350782 0.015706385 0.042587843 0.03110638 0.005966491 0.0047893184 0.007982197 0.0015480625 0.0066437684 0.013964814 0.0001290052 0.0007095286 8.0628255e-05 9.675391e-05 0.00019350782 5.7804837 0.0 22.0 1.0 4.0 530592.0 548864.0 1.0 4.0 37.0 1.0 1.0 1.0 0.0 0.0 1517884300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 5.0 2.0 29184.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 467968.0 0.0 0.0 0.0 0.0 1536.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 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 -4.6241193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.49026 0.0 0.0 0.0 0.0 4.6920953 0.0 -4.7350626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4608243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.507409 0.0 2.6511939 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11834.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 467325.0 0.0 0.0 0.0 0.0 1272.0 0.0 -456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28705.0 0.0 1088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 133.0 120432.0 40.0 119388.0 1088.0 532480.0 1272.0 139264.0 5280.0 525312.0 9128.0 536576.0 28.0 37248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 304.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.24345559 0.028590992 0.0067791324 0.015842833 0.014883585 0.0035183697 0.0029895974 0.0031082323 0.0138226515 0.0012541395 0.0017998597 0.0012744769 0.009622979 0.0013185412 0.0012439708 0.004758951 0.007728211 0.0017795223 0.0009728055 0.0016202127 0.0050741807 0.003538707 0.00072536716 0.0005118245 0.0034200724 0.0005118245 0.00039657924 0.0011219464 0.0031082323 0.0006338489 0.00051521405 0.00042369578 0.003189582 0.00040674795 0.00042030623 0.0010846612 0.011466903 0.00055588887 0.00056605757 0.0004304749 0.0019286632 0.00045759144 0.0005423306 0.001257529 0.0016202127 0.0007016402 0.00083722285 0.0027726651 0.0016947831 0.0003321775 0.0007728211 0.005172478 0.0029895974 0.00064740714 0.0003220088 0.00044403318 0.00156259 0.0016778352 0.0006846924 0.0034607472 0.0010507655 0.0010982194 0.00035251488 0.00034912533 0.0031116218 0.0035963298 0.002609966 0.0020032336 0.0066130436 0.01789691 0.0025896286 0.001077882 0.002711653 0.0011083882 0.00042708535 0.00035929403 0.0032777106 0.013104063 0.0011388942 0.00082705414 0.012568512 0.0068740402 0.0046674325 0.0050029997 0.0029828183 0.009670433 0.005847002 0.004548798 0.00117279 0.0021049206 0.00043725406 0.0016744457 0.0018032492 0.003538707 0.0026743677 0.0021998284 0.00090501417 0.00453185 0.001586317 0.0024337086 0.0046369266 0.009504343 0.0020913624 0.0010270386 0.0035658237 0.0055826157 0.0045352397 0.0024370982 0.005219932 0.002125258 0.0027421592 0.0038234307 0.0030607784 0.00023726963 0.0061317254 0.0044132154 0.014080258 0.01125336 0.0013185412 0.0016473292 0.0013626056 0.0016981727 0.0003423462 0.00018642614 0.0028913 0.0046877703 0.0010134804 0.000383021 0.0043081385 0.0028574043 0.0018269762 0.010924572 0.0044199945 0.008168855 0.00051860366 0.0006507967 0.0012948143 0.012934585 0.00046776014 0.054199163 0.0017252893 0.011555031 0.0003220088 0.00042369578 0.004196283 0.00031861922 0.00016269917 0.00021693224 0.00089823507 0.00062029064 0.00031522967 0.0002406592 0.0010304281 0.0003694627 0.00015592005 0.00012880351 0.00078976894 0.00025421748 0.00025421748 0.0001898157 0.0006440176 0.0005796158 0.0002304905 0.00046776014 0.00066774455 0.0007490941 0.0002304905 0.00032539835 0.0007931585 0.00014914092 0.0005694471 0.00040335837 0.0007219776 0.00047453927 0.000281334 0.00051860366 0.0010439864 0.00020337397 0.00019659485 0.00031522967 0.0010846612 0.000281334 0.00038980012 0.00022710094 0.0015964857 0.00037624186 0.00033556705 0.00045759144 0.0009355203 0.00046437056 0.0006541863 0.0007931585 0.008684069 0.003189582 0.0046369266 0.0022710094 0.002172712 0.00052877236 0.0026675886 0.009555187 0.0018134179 0.0025014998 0.001149063 0.00069825066 0.008416293 0.00040674795 0.0014134491 0.00081010634 0.0011626212 0.0019083258 0.0017252893 0.0009253516 0.0010405969 0.00036607316 0.001125336 0.0006338489 0.0019557797 0.00064062804 0.00048470797 0.0010067011 0.0014710717 0.00039996882 0.00056605757 0.00046776014 0.0015185256 0.00066774455 0.000586395 0.00043386448 0.0014405657 0.0016405501 0.0002203218 0.00024404877 0.011734678 0.0024269295 0.00081688544 0.0046606534 0.0052233217 0.0003016714 0.0003118401 0.00067791325 0.003806483 0.00093213073 0.00055588887 0.0018574822 0.005460591 0.0006033428 0.0014507343 0.0017829118 0.0072028283 0.0006745237 0.00070502976 0.00117279 0.014409046 0.0012473604 0.001742237 0.03392278 0.027874565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032971743 0.0 3.4026568e-06 6.8053137e-06 2.041594e-05 1.3610627e-05 8.506642e-05 5.274118e-05 0.0 0.0 0.0 1.7013284e-06 0.0 0.0 1.7013284e-06 1.7013284e-06 0.0032291212 1.7013284e-06 3.232524e-05 2.7221255e-05 8.336509e-05 1.8714612e-05 3.0623913e-05 5.103985e-06 1.020797e-05 1.5311956e-05 8.506642e-06 0.0 6.8053137e-06 8.506642e-06 0.0 6.8053137e-06 0.006201342 2.5519927e-05 2.2117269e-05 0.00011058635 0.00010888502 3.7429225e-05 8.506642e-05 1.8714612e-05 8.166376e-05 1.1909298e-05 3.232524e-05 0.0 0.00012930096 4.253321e-05 4.083188e-05 2.041594e-05 0.011580942 6.805314e-05 0.00016332752 0.00011569033 0.00020245808 0.00012419697 0.0004967879 0.0004253321 0.0002160687 5.1039853e-05 3.0623913e-05 4.7637193e-05 0.00013610628 3.9130555e-05 4.7637193e-05 0.00019225011 0.019150153 0.0003538763 0.00022457534 0.00026540723 0.00035727897 0.00020245808 0.0019922554 0.00033346037 0.00036238294 0.00030964176 0.00015311956 0.00017693815 0.00010378103 0.00013610628 0.00013270362 0.00013610628 0.004734797 5.274118e-05 0.00012249565 3.5727895e-05 0.0002756152 0.00015311956 0.0009697572 0.0003725909 7.655978e-05 2.7221255e-05 4.253321e-05 2.041594e-05 3.7429225e-05 1.8714612e-05 1.020797e-05 1.8714612e-05 0.039821293 0.0003351617 0.0020177756 0.00013270362 0.0037139999 0.0024856408 0.015260915 0.008989819 5.274118e-05 4.9338523e-05 5.9546495e-05 3.9130555e-05 6.294915e-05 5.9546495e-05 4.7637193e-05 4.253321e-05 0.033956815 0.0010224984 0.0015277929 0.00046276132 0.0030436765 0.002414185 0.00917016 0.005078465 0.0005325158 0.0002092634 0.00024669262 0.00019395143 0.00030623912 0.00016673018 0.00022627668 0.0006754274 0.020352991 0.000683934 0.00091361336 0.00046616397 0.002708515 0.001993957 0.0077580577 0.0041733584 0.0019361117 0.00030794044 0.00043554007 0.00038109755 0.0012283591 0.00038109755 0.00034877233 0.0012266578 0.016781904 0.0008523655 0.00052060647 0.0006414008 0.0017761869 0.0012725936 0.0015567155 0.0012334631 0.0035217497 0.00035047365 0.00032835637 0.00029092716 0.002325716 0.0004746706 0.0005563344 0.0023597425 0.017804401 0.0007843124 0.00056484103 0.00091871736 0.003503035 0.001993957 0.0034179688 0.0017030297 0.0050223214 0.00036238294 0.0003896042 0.0003827989 0.0027969838 0.000694142 0.0007485845 0.0042090863 0.0284309 0.003030066 0.001144994 0.0021147511 0.009831977 0.0069141984 0.0031933933 0.0032563426 0.018313099 0.00085406686 0.00077410444 0.00057845167 0.010177347 0.0014274145 0.004750109 0.013222724 0.10435438 0.019939568 0.01424182 0.014046167 0.03139121 0.043203533 0.010570353 0.024659054 0.07144728 0.0054697706 0.004113812 0.0061928355 0.027289307 0.008962598 0.022010086 0.04855421 0.015345982 0.005003607 0.006694727 0.0032138093 0.005520811 0.007130267 0.0021334658 0.0045442483 0.015398723 0.0021351671 0.0011790206 0.0010650316 0.0064735548 0.0035115418 0.0041019027 0.0071404753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 654.0 9.292048 6077.0 0.008063189 0.0009873293 0.0014809939 0.00032910975 0.024354123 0.00016455488 0.00082277437 0.0006582195 0.0029619879 0.0006582195 0.00049366464 0.0 0.005430311 0.0011518842 0.009379628 0.00082277437 0.0029619879 0.0009873293 0.008227744 0.009050518 0.002468323 0.00032910975 0.00082277437 0.00082277437 0.0019746586 0.004442982 0.005101201 0.0023037684 0.0019746586 0.004278427 0.00032910975 0.00082277437 0.002797433 0.016620044 0.0021392135 0.014480829 0.018759256 0.011354286 0.011189732 0.01316439 0.0077340794 0.010531512 0.00016455488 0.0016455487 0.0185947 0.0077340794 0.004607537 0.004607537 0.027809775 0.016126378 0.01991114 0.041632384 0.014809939 0.012670726 0.029619878 0.034556523 0.002632878 0.002632878 0.00032910975 0.00049366464 0.0019746586 0.0009873293 0.0021392135 0.008721408 0.0006582195 0.030771762 0.004607537 0.01991114 0.021392135 0.07223959 0.004442982 0.009379628 0.012506171 0.033569194 0.013658055 0.0029619879 0.034227416 0.015632713 0.024189567 0.0320882 0.012341616 0.00032910975 0.03949317 0.03373375 0.057429653 0.012341616 0.004278427 0.0185947 0.0062530856 0.009544183 0.0009873293 0.0009873293 0.0016455487 0.00082277437 0.00082277437 0.00032910975 5.6480355 0.0 0.0 0.0 1.0 295023.0 299008.0 1.0 0.0 235.0 0.0 1.0 0.0 0.0 0.0 1029193200.0 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 4.0 1.0 6.0 22.0 4.0 0.0 4.0 0.0 208896.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -208896.0 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 4.566521 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.59365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4140983 0.0 3.5106664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 49316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -206121.0 0.0 2032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 257144.0 2032.0 294912.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 213984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 672.0 984.0 212992.0 0.0 0.0 0.0 0.0


Input: 0.23514067 0.00901393 0.0044796504 0.0024720023 0.0062824367 0.0016798689 0.0019393609 0.0011199126 0.0064053535 0.0012564873 0.0008331057 0.00096968043 0.0045342804 0.0012564873 0.0014067194 0.0026768642 0.031521443 0.0024446873 0.0008467632 0.00076481834 0.003168533 0.00464354 0.0009150505 0.00051898387 0.0026905218 0.0012838022 0.0010379677 0.00035509423 0.0017344988 0.0007375034 0.00047801147 0.0004233816 0.0036192297 0.00039606664 0.0013247747 0.00030046437 0.003168533 0.004179186 0.0003277793 0.0003277793 0.0014340344 0.0004233816 0.00040972413 0.00095602294 0.0015159793 0.00050532643 0.0014340344 0.00053264137 0.004561595 0.0031412183 0.0033051078 0.0047801146 0.002990986 0.0025402894 0.0035646 0.0038514067 0.0041382136 0.0019666757 0.0016115815 0.0020486205 0.0048620594 0.0018710735 0.0016388965 0.006378039 0.02159246 0.009000273 0.005107894 0.012482928 0.0076072114 0.013165802 0.0057361377 0.0027588091 0.0033597378 0.003223163 0.0016525539 0.00081944827 0.0046298825 0.00696531 0.003045616 0.0037558044 0.010174816 0.0035509423 0.0040289536 0.004056269 0.0054220157 0.0057224804 0.0047391425 0.0029090412 0.0043294183 0.0015023218 0.0035782573 0.00086042064 0.001160885 0.0035509423 0.002403715 0.0048893746 0.0014067194 0.009628517 0.002813439 0.0050396067 0.035495766 0.015036875 0.0017891286 0.0023764 0.0054356735 0.0059273425 0.00480743 0.0009150505 0.009888009 0.0033597378 0.008413002 0.0077984156 0.0037831194 0.0003277793 0.01052991 0.006337066 0.016648456 0.0069789677 0.002062278 0.0012291723 0.0017208413 0.0017754711 0.00066921604 0.00010925977 0.00087407813 0.00068287353 0.00069653103 0.00017754712 0.009164163 0.0019530182 0.001625239 0.005299099 0.0043977057 0.0035919147 0.0010652827 0.0007375034 0.0013384321 0.0040426115 0.000232177 0.016320677 0.0011882 0.007839388 0.0016935264 0.000928708 0.0019393609 0.00019120458 0.00030046437 0.00058727124 0.0012291723 0.00051898387 0.00021851953 0.0003277793 0.0007921333 0.00076481834 0.00096968043 0.00057361374 0.0014067194 0.0004233816 0.00047801147 0.00034143677 0.0019803334 0.0014613493 0.00040972413 0.0009423655 0.00095602294 0.00019120458 0.00038240917 0.00016388965 0.0009150505 0.0002731494 0.00047801147 0.00020486207 0.0007375034 0.0001365747 0.00015023218 0.00028680687 0.0018983884 0.00072384597 0.00057361374 0.0005462988 0.0013247747 0.0005462988 0.00090139307 0.0005462988 0.0019120459 0.00021851953 0.00031412183 0.00030046437 0.0009969954 0.00019120458 0.00053264137 0.0005599563 0.0044523356 0.0012155148 0.0033733952 0.0024310297 0.002813439 0.00077847583 0.0021305655 0.0037284894 0.0019666757 0.000928708 0.00045069653 0.00017754712 0.035550397 0.00047801147 0.0009833379 0.00061458617 0.001830101 0.00028680687 0.0003277793 0.00030046437 0.0009423655 0.00030046437 0.0009423655 0.00038240917 0.0013247747 0.0003687517 0.000464354 0.00043703907 0.0012701447 0.0001365747 0.00024583447 0.0002731494 0.0016798689 0.0003687517 0.00035509423 0.00031412183 0.0013247747 0.001160885 0.0007375034 0.00025949194 0.007880361 0.0013520896 0.00038240917 0.0010379677 0.0045342804 0.0003687517 0.00049166894 0.00024583447 0.0031002457 0.0013111172 0.00045069653 0.00062824367 0.001884731 0.000232177 0.0011199126 0.00061458617 0.001597924 0.0006419011 0.00030046437 0.0001365747 0.0034963125 0.00090139307 0.0014203769 0.041873805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010637556 0.00012555804 7.672991e-05 0.00011858259 0.0016183036 0.00065569195 0.0004952567 0.0002511161 6.277902e-05 6.277902e-05 1.3950893e-05 3.4877234e-05 5.580357e-05 1.3950893e-05 2.092634e-05 4.185268e-05 0.0095005585 0.0004185268 3.4877234e-05 4.185268e-05 0.002329799 0.0009416853 0.0004394531 2.092634e-05 0.00031389509 0.0001046317 1.3950893e-05 1.3950893e-05 3.4877234e-05 1.3950893e-05 2.7901786e-05 3.4877234e-05 0.018875558 0.0005998884 0.00038364955 0.0002859933 0.0029157365 0.0009974889 0.0021205358 0.0007672991 0.000390625 0.00018136161 3.4877234e-05 6.277902e-05 0.00011160714 2.7901786e-05 5.580357e-05 0.00076032366 0.042522322 0.0026646205 0.0020926339 0.0063406806 0.058231026 0.021784319 0.04693778 0.025237165 0.0010253906 0.00071847095 0.0006347656 0.0001953125 0.00034877233 0.0002092634 0.00022321429 0.0051199775 0.01654576 0.0025041853 0.0004045759 0.00014648438 0.0002859933 0.00015345983 0.002280971 0.0008998326 0.00022321429 0.0009416853 0.00069056917 0.00055106025 0.00018833706 0.00014648438 0.00018136161 0.0024274553 0.03267299 0.002811105 0.0012207031 0.005887277 0.0060546873 0.004157366 0.009619141 0.0046177455 0.0015625 0.0015834264 0.00082310266 0.0008091518 0.0023228237 0.00069056917 0.0010672433 0.009814453 0.036467634 0.012806919 0.00546875 0.029024832 0.008768137 0.0061174664 0.023863003 0.0077427453 0.0045270645 0.002734375 0.0027692523 0.0033970424 0.003264509 0.0028320313 0.003062221 0.004296875 0.03451451 0.0071916855 0.0029366629 0.0033691407 0.009381975 0.00609654 0.013288225 0.0052734376 0.009340122 0.0011648996 0.0013253348 0.0025669644 0.00874721 0.0016531808 0.0031529018 0.004282924 0.051890347 0.017229352 0.005231585 0.0053710938 0.012437221 0.017131696 0.015004185 0.007310268 0.032868303 0.0020996095 0.0020926339 0.003327288 0.036837332 0.0025390624 0.0100306915 0.021456473 0.016064454 0.008119419 0.0032017299 0.0028738838 0.004903739 0.0060407366 0.008307757 0.0034319197 0.012332589 0.001499721 0.0013950893 0.0013044085 0.011446708 0.0018345424 0.0048060827 0.012437221 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 726.0 25.256199 18336.0 0.004363002 0.00016361257 0.0013634381 0.00016361257 0.004581152 0.0009816753 0.0002726876 0.000109075045 0.001254363 0.0002726876 0.00021815009 0.00021815009 0.001145288 0.0005453752 0.0036540139 0.00092713785 0.008398779 0.00616274 0.0060536647 0.0036540139 0.004417539 0.004526614 0.00572644 0.0064354273 0.00616274 0.0027814137 0.0030541013 0.0021269633 0.004308464 0.0033813263 0.0029450261 0.021596858 0.0773342 0.03326789 0.016470332 0.048102096 0.024760036 0.02530541 0.016579406 0.008453316 0.007526178 0.011561954 0.0038176265 0.0023451135 0.014125219 0.009162304 0.008235166 0.012870855 0.017724695 0.0058900523 0.0131980805 0.012652705 0.016688481 0.010798429 0.0094349915 0.0050719897 0.014943281 0.0015815882 0.013252618 0.0002726876 0.0017452007 5.4537522e-05 0.00032722513 0.014779668 0.0010907504 0.03670375 0.0033813263 0.010580279 0.015270506 0.056010034 0.0032722512 0.008453316 0.007689791 0.022033159 0.00087260036 0.002508726 0.035831153 0.012270942 0.0316863 0.029613875 0.010034904 0.0004908377 0.037903577 0.023014834 0.053883072 0.009325916 0.0041448516 0.0026723386 0.0033813263 0.004308464 0.0014179755 0.000109075045 0.0011998254 0.00016361257 0.0002726876 0.000109075045 5.6344075 1.0 1.0 0.0 2.0 73220.0 86016.0 0.0 242.0 78.0 1.0 1.0 0.0 0.0 0.0 1487583400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 11.0 0.0 5.0 1.0 5.0 1.0 27648.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28160.0 0.0 0.0 0.0 0.0 0.0 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 -27648.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8911214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7372637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1057844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0996966 0.0 4.3229914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5282.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28011.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27356.0 0.0 5176.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 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 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -3.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 3.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 -2.0 1.0 2.0 2.0 -2.0 0.0 1.0 1.0 0.0 -2.0 1.0 -1.0 -1.0 -3.0 0.0 0.0 -2.0 1.0 -2.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 2.0 0.0 1.0 0.0 -1.0 3.0 1.0 0.0 0.0 2.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 2.0 2.0 -3.0 0.0 1.0 2.0 1.0 -4.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 2.0 -1.0 0.0 -2.0 0.0 -1.0 4.0 0.0 14123.0 46656.0 220.0 43576.0 5176.0 69632.0 0.0 0.0 0.0 0.0 4344.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 39488.0 0.0 0.0 1140.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.26113808 0.014106354 0.0072805677 0.0030413526 0.0043447893 0.003280925 0.0034961344 0.0018475506 0.0033661968 0.0015754937 0.0052502924 0.0019856093 0.0017297947 0.0015024039 0.001518646 0.0012953158 0.0010313799 0.0022211215 0.0018313085 0.0025419048 0.0016039176 0.001510525 0.0020221544 0.0016079781 0.0020221544 0.0017054314 0.0014942827 0.0018394296 0.001672947 0.0015633121 0.001798824 0.0018394296 0.006618698 0.0011369543 0.0017135525 0.0016039176 0.0011694387 0.0016039176 0.0021277287 0.0016242204 0.0027571141 0.0012506497 0.0016688864 0.0016607654 0.00479145 0.0023307563 0.011211181 0.0018556718 0.005428957 0.0036544958 0.002387604 0.0053842906 0.0020221544 0.0037397675 0.0023794828 0.0031266243 0.002070881 0.0023388774 0.001709492 0.0015430093 0.0019247012 0.004961993 0.0038209783 0.002217061 0.00056847715 0.0017013708 0.0023916645 0.0034149233 0.003995582 0.0018922167 0.0029154755 0.0016404625 0.0010638643 0.0025743893 0.0012506497 0.0025337837 0.0027855379 0.002115547 0.0023551194 0.0025662682 0.0030413526 0.0013440424 0.0025540865 0.0055507733 0.0031591086 0.0018434902 0.002984505 0.0031469269 0.0015673727 0.0020911838 0.0024972388 0.0021602132 0.001437435 0.0014861616 0.0016891892 0.0054573803 0.0007349597 0.010715794 0.004430061 0.006257309 0.0043204264 0.020241847 0.004754905 0.0058431327 0.002675903 0.013594724 0.0013927689 0.003963098 0.00950981 0.0077597126 0.012880067 0.014983433 0.0042432756 0.0016485837 0.013436363 0.011308635 0.015275792 0.00818201 0.0028058407 0.0055710757 0.0026962059 0.0065496685 0.0025337837 0.003382439 0.00191658 0.0022657875 0.0017013708 0.0028545673 0.001798824 0.001112591 0.000795868 0.00082429184 0.0009339267 0.0009055029 0.00633852 0.0012465891 0.0009948349 0.0016932498 0.0013562241 0.001835369 0.0017622791 0.0016688864 0.0015430093 0.0019856093 0.0010313799 0.0016648258 0.001437435 0.0018313085 0.0010354405 0.0013684056 0.0021399104 0.0015145855 0.0014130718 0.0034798922 0.0017825819 0.0018962773 0.0013684056 0.0016120387 0.0021926975 0.0021277287 0.0018110058 0.00077150465 0.00095422944 0.0014942827 0.002152092 0.0016485837 0.0016770075 0.002099305 0.0006618698 0.0017054314 0.0009988955 0.0018516112 0.0018313085 0.0024728754 0.0017500975 0.0020302755 0.00097047165 0.001880035 0.0030454132 0.0019328223 0.0019856093 0.0026109342 0.0024119671 0.002241424 0.0013805873 0.0017460369 0.0015064644 0.0022657875 0.0017541581 0.0020424572 0.0018678535 0.0024485122 0.0028464461 0.00092986616 0.0014333745 0.0012831341 0.0014983433 0.0016323415 0.001636402 0.0024444517 0.0007430808 0.0016648258 0.001238468 0.0018922167 0.0049132667 0.002034336 0.0013887084 0.0020383967 0.0005806588 0.0013927689 0.0017744608 0.0023226351 0.0014293139 0.0015267672 0.0026190553 0.0025175416 0.0014617983 0.0016770075 0.0023551194 0.0022860903 0.0016079781 0.0019125195 0.0019287617 0.0023348168 0.000795868 0.0013156185 0.0017176131 0.0028139618 0.001510525 0.0020140333 0.0019571856 0.0018069452 0.0008486551 0.002070881 0.0013399818 0.0021926975 0.0014942827 0.002034336 0.0018597323 0.0018394296 0.0011978626 0.0018191268 0.0017622791 0.001835369 0.0017419764 0.0020952444 0.0019937304 0.0019328223 0.0018475506 0.0017866424 0.0018191268 0.002143971 0.0018759746 0.0018881562 0.0021561526 0.045348234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0835676 0.00022677498 0.00045559296 0.00045150693 0.00022473195 0.00022473195 0.00022677498 0.00022677498 0.00045150693 0.0006803249 0.00022473195 0.0 0.00022677498 0.00022677498 0.00045150693 0.0 0.0038347444 1.4301125e-05 2.4516214e-05 2.860225e-05 1.0215089e-05 1.6344142e-05 1.4301125e-05 2.860225e-05 3.0645268e-05 3.677432e-05 1.6344142e-05 1.6344142e-05 2.0430178e-05 2.6559232e-05 3.881734e-05 2.6559232e-05 0.007501961 8.784977e-05 6.333355e-05 8.784977e-05 4.0860356e-05 7.150562e-05 4.494639e-05 5.516148e-05 6.537657e-05 8.989278e-05 3.677432e-05 3.0645268e-05 5.1075443e-05 6.1290535e-05 5.9247515e-05 2.0430178e-05 0.0071832505 9.8064855e-05 6.537657e-05 7.763468e-05 0.0001266671 0.00010010787 0.00017161349 0.00010827994 3.2688284e-05 2.860225e-05 1.6344142e-05 2.4516214e-05 3.677432e-05 9.19358e-05 8.580674e-05 0.00012053805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002766246 1.838716e-05 9.602184e-05 6.741958e-05 0.00013075313 8.580674e-05 0.0006496796 0.00031053871 1.2258107e-05 0.0 2.0430177e-06 1.0215089e-05 4.0860355e-06 1.838716e-05 6.1290534e-06 6.1290534e-06 0.0011849503 0.0 0.00016548444 9.8064855e-05 0.0019306518 0.001483231 0.010415304 0.005642815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0481192 0.002204416 0.004582489 0.0020900073 0.0031196882 0.0028275365 0.014299082 0.0094183115 0.0019122646 0.00060473324 0.0005822601 0.00029419456 0.0008703256 0.0003330119 0.00038613036 0.004590661 0.03955691 0.0029705479 0.0046907687 0.002312696 0.0026089337 0.002858182 0.0120538045 0.008120996 0.0020879642 0.00059043214 0.0007661317 0.00047602315 0.0013361336 0.00042903374 0.00040043148 0.0066071195 0.053527065 0.0037162493 0.01156961 0.01309983 0.0070790565 0.009567453 0.04284617 0.02504127 0.0041759284 0.0015629086 0.0018754903 0.0018080707 0.0034138828 0.00066193775 0.00090301386 0.019988885 0.019553723 0.0016180701 0.0036365716 0.004235176 0.002169685 0.0025190408 0.010762618 0.0075203483 0.0015077471 0.0009070999 0.00087645464 0.0011359178 0.0015159192 0.00070892717 0.00071709923 0.0075612087 0.008715514 0.00095817534 0.0019490389 0.0020532329 0.0013218325 0.0011624771 0.0051320605 0.003469044 0.0008335513 0.000572045 0.0006782819 0.0008621535 0.0008478524 0.00051892654 0.0003554851 0.004043132 0.00787379 0.0008396803 0.001716135 0.0018673183 0.0014137683 0.0011277458 0.003908293 0.0025088259 0.00063742156 0.0006353785 0.00081107806 0.00089279877 0.0007048411 0.00062107743 0.00047602315 0.0032545272 0.0011400039 0.00016752745 0.00013075313 0.00019204368 0.00015731237 0.00016957047 0.00022677498 0.00022268893 0.00012871012 0.00021247385 0.0001613984 0.00023086101 0.00020634479 0.00027785043 0.0002758074 0.00028397946 0.02911096 0.015439086 0.016064249 0.022289325 0.015582097 0.020027703 0.023733737 0.02401976 0.0150836 0.02214427 0.020013401 0.026485683 0.020558888 0.025919767 0.023617286 0.027190523 1886.0 23.529692 44377.0 0.027671993 0.0005633549 0.0013745859 0.0009013678 0.0010816414 0.0005633549 0.001036573 0.0006985601 0.00033801293 0.00067602587 0.0006985601 0.00060842326 0.018162562 0.001960475 0.04409942 0.0013745859 0.02481015 0.010027717 0.006670122 0.009915046 0.0030871849 0.011199495 0.0039434843 0.008224982 0.0026365009 0.005227933 0.0011041756 0.0005408207 0.001487257 0.01665277 0.0018027356 0.0011267097 0.00020280776 0.003109719 0.0038758817 0.009441828 0.013723325 0.0041913604 0.007909503 0.0029519796 0.00076616264 0.0043491 0.00067602587 0.006241972 0.002974514 0.0022308854 0.0016675305 0.0018703382 0.0096897045 0.0030871849 0.0045519075 0.0208892 0.0071884086 0.0034251977 0.0065123825 0.0063997116 0.00083376525 0.0011943124 0.001036573 0.001261915 0.00067602587 0.00078869687 0.00076616264 0.009779841 0.00029294455 0.04029114 0.013543052 0.017418934 0.014444419 0.07868941 0.012483944 0.020010365 0.0075489557 0.047840096 0.00065349165 0.00811231 0.03276472 0.023660906 0.048786532 0.040155936 0.008224982 0.0009689704 0.046172567 0.04135025 0.056921378 0.031547874 0.004484305 0.015909143 0.0021632828 0.023796111 0.0028618427 0.0011717782 0.001149244 0.00067602587 0.0004957523 0.00087883364 5.482482 1.0 6.0 7.0 1.0 246272.0 270336.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1538666500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 243712.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -243712.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3537884 0.0 3.2274902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -243712.0 0.0 1080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 251816.0 1080.0 253952.0 0.0 0.0 0.0 0.0 12.0 262144.0 28.0 251504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0