Input: 0.4086914 0.00970459 0.0064086914 0.002380371 0.0063476562 0.0030517578 0.0048217773 0.001953125 0.0025024414 0.0008544922 0.0021362305 0.0006713867 0.0010986328 0.0010375977 0.0032348633 0.00030517578 0.0007324219 0.0013427734 0.0006713867 0.0017089844 0.0013427734 0.0004272461 0.0012207031 0.001159668 0.00091552734 0.00048828125 0.0005493164 0.0007324219 0.00048828125 0.0017089844 0.00061035156 0.0010986328 0.002380371 0.00048828125 0.0004272461 0.001159668 0.0006713867 0.003967285 0.00018310547 0.00018310547 0.0014038086 0.00048828125 0.001159668 6.1035156e-05 0.00012207031 0.0010375977 0.019165039 0.01586914 0.001953125 0.0009765625 0.00061035156 0.00061035156 0.0004272461 0.00048828125 0.00061035156 0.00030517578 0.00061035156 0.00030517578 0.002380371 0.00030517578 0.00024414062 0.00012207031 0.00018310547 0.00036621094 0.0005493164 0.007080078 0.0018310547 0.0041503906 0.0018920898 0.0014038086 0.0018920898 0.0038452148 0.00048828125 0.0025024414 0.0012817383 0.00018310547 0.0014038086 0.002746582 0.0010986328 0.0006713867 0.0022583008 0.00012207031 0.001953125 0.0030517578 0.0036621094 0.0010986328 0.0006713867 0.00024414062 0.00079345703 0.00012207031 0.00036621094 0.00012207031 6.1035156e-05 6.1035156e-05 0.00012207031 0.011352539 0.0004272461 0.030212402 0.004333496 0.018127441 0.022949219 0.032348633 0.002380371 0.02368164 0.00061035156 0.027709961 0.00030517578 0.0038452148 0.017211914 0.028869629 0.02923584 0.0491333 0.01361084 0.00018310547 0.023864746 0.02508545 0.018493652 0.004333496 0.0036010742 0.00048828125 0.0010986328 0.004699707 0.0006713867 0.00012207031 0.00012207031 0.00012207031 0.0017089844 6.1035156e-05 0.0029907227 0.00030517578 0.0 0.00024414062 0.00018310547 0.00018310547 6.1035156e-05 0.0 6.1035156e-05 0.00024414062 0.0 0.00018310547 0.0 0.00091552734 6.1035156e-05 6.1035156e-05 0.00018310547 0.0009765625 0.0 0.00018310547 6.1035156e-05 0.00012207031 6.1035156e-05 0.00012207031 6.1035156e-05 0.00012207031 0.00036621094 0.00018310547 0.00012207031 6.1035156e-05 0.0 6.1035156e-05 0.00012207031 0.00018310547 0.0037841797 0.00012207031 0.00018310547 0.00030517578 0.0 0.00012207031 6.1035156e-05 0.00024414062 0.0 0.00012207031 6.1035156e-05 0.0 0.0 0.00012207031 0.00024414062 0.00012207031 6.1035156e-05 6.1035156e-05 6.1035156e-05 0.00012207031 6.1035156e-05 6.1035156e-05 0.00018310547 0.0 0.00036621094 6.1035156e-05 6.1035156e-05 0.00012207031 0.00018310547 0.0 0.00012207031 0.0 0.00018310547 0.0 0.00012207031 6.1035156e-05 6.1035156e-05 6.1035156e-05 0.0 0.0 0.00024414062 0.0 0.00012207031 0.00012207031 0.00018310547 0.00012207031 0.00012207031 6.1035156e-05 0.0 6.1035156e-05 6.1035156e-05 6.1035156e-05 0.0 0.00012207031 0.0 6.1035156e-05 0.0 6.1035156e-05 0.0 6.1035156e-05 6.1035156e-05 6.1035156e-05 0.00012207031 6.1035156e-05 0.0 0.0 0.00030517578 0.00018310547 6.1035156e-05 0.00012207031 6.1035156e-05 0.00012207031 6.1035156e-05 0.00061035156 6.1035156e-05 0.0 0.0 0.00012207031 6.1035156e-05 0.0 6.1035156e-05 0.0 0.00012207031 6.1035156e-05 0.0 0.00012207031 0.0 0.00012207031 0.00018310547 0.0 0.0 0.00012207031 0.0009765625 0.00030517578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.052571613 0.00013020834 0.00091145834 0.0010091146 0.0013346354 0.00091145834 0.0068033854 0.0026692708 6.510417e-05 0.0 3.2552085e-05 6.510417e-05 0.0 3.2552085e-05 3.2552085e-05 9.765625e-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 0.004166667 0.0 0.00078125 3.2552085e-05 0.0017903646 0.0060221353 0.039485678 0.014388021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2188802 0.0 0.02327474 0.0024088542 0.014095052 0.0071940105 0.15397136 0.043196615 0.002018229 0.000390625 0.0004231771 0.00029296876 0.00013020834 0.0001953125 0.00013020834 6.510417e-05 0.0680013 0.005501302 0.008365885 0.0016276041 0.0044270833 0.0025390624 0.02470703 0.0113932295 0.0013671875 0.0004231771 0.0022786458 0.0005533854 0.000390625 9.765625e-05 0.00068359374 0.0009765625 0.05253906 0.004166667 0.011783854 0.004199219 0.011263021 0.008528646 0.07773437 0.025813801 0.0008463542 0.0009440104 0.0005533854 0.00045572917 0.00035807292 0.00026041668 0.00035807292 0.0001953125 0.03466797 0.0045247395 0.0046875 0.001171875 0.0017252604 0.0022460937 0.0068033854 0.005110677 0.0012695312 0.0010091146 0.0013997395 0.00035807292 0.000390625 0.0001953125 0.0007486979 0.00035807292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136.0 27.125 3689.0 0.0043372186 0.0005421523 0.0005421523 0.0013553809 0.0 0.00027107616 0.00081322854 0.00027107616 0.0005421523 0.00027107616 0.00027107616 0.0 0.00027107616 0.00081322854 0.04011927 0.0005421523 0.0029818378 0.0024396856 0.0021686093 0.0013553809 0.00081322854 0.0016264571 0.0013553809 0.00027107616 0.0016264571 0.0005421523 0.0005421523 0.0 0.00027107616 0.00027107616 0.00027107616 0.0 0.00027107616 0.013282732 0.0021686093 0.0056926 0.0040661427 0.00081322854 0.0010843046 0.0056926 0.00081322854 0.0032529142 0.0035239903 0.0 0.0016264571 0.0089455135 0.0010843046 0.0010843046 0.0027107617 0.0 0.0027107617 0.005150447 0.007861209 0.0018975332 0.00081322854 0.00027107616 0.0016264571 0.0 0.0 0.0 0.0 0.0 0.0 0.049878016 0.0005421523 0.07454595 0.010843047 0.036324207 0.0455408 0.06587151 0.0048793713 0.058281377 0.0010843046 0.056383844 0.00081322854 0.01274058 0.032800216 0.058010302 0.05855245 0.09704527 0.029547302 0.0 0.044185415 0.045811873 0.04039035 0.01274058 0.0056926 0.00081322854 0.00081322854 0.011927351 0.0 0.0 0.0 0.0 0.0 0.0 4.7684712 0.0 0.0 0.0 1.0 16384.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1521052900.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 13824.0 512.0 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 -13824.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.62354 0.0 2.5051687 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 -13780.0 0.0 1536.0 0.0 0.0 0.0 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 21884.0 1536.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.48946583 0.010062112 0.014857143 0.0056397514 0.0121490685 0.0024347827 0.009093167 0.00710559 0.0042484473 0.0023602485 0.018757764 0.0022608696 0.001515528 0.0024099378 0.0011925466 0.001515528 0.0022857143 0.0027826086 0.002310559 0.0024347827 0.0010434783 0.0009937888 0.0026086958 0.0025093167 0.0011925466 0.0007701863 0.0007204969 0.0006459627 0.00032298136 0.0003726708 0.002236025 0.0020621119 0.017490683 0.00054658385 0.0011925466 0.0035776398 0.00054658385 0.0007701863 0.002037267 0.00042236026 0.009763975 0.0009192547 0.0060124225 0.0011428571 0.0016149068 0.0021863354 0.0035776398 0.00052173913 0.0035279503 0.001242236 0.0018385093 0.002037267 0.0004968944 0.00054658385 0.00039751554 0.00042236026 0.0007701863 0.00067080744 0.00089440995 0.0013913043 0.0002484472 0.00057142857 0.00022360249 0.0004968944 0.0018385093 0.0009440994 0.0007701863 0.0015652174 0.0026335404 0.0005962733 0.0009937888 0.00044720498 0.0010931677 0.0007950311 0.00027329192 0.0009689441 0.0014161491 0.0009689441 0.00042236026 0.0011180125 0.0026335404 0.00039751554 0.0011925466 0.0014161491 0.0014658385 0.0006459627 0.0018385093 0.00057142857 0.0014409937 0.00086956524 0.00086956524 0.00089440995 0.0002484472 0.00067080744 0.00032298136 0.0010931677 0.0010434783 0.004968944 0.0011180125 0.003652174 0.002931677 0.009192547 0.0027329193 0.0015900622 0.0016645963 0.005763975 0.00054658385 0.0011428571 0.0054161493 0.002757764 0.0045465836 0.014285714 0.0049192547 0.00057142857 0.006857143 0.006931677 0.007006211 0.0019378882 0.0012173913 0.014857143 0.003031056 0.001242236 0.0053913044 0.0050186333 0.0013416149 0.0014409937 0.0008447205 0.007875777 0.0067826086 0.00067080744 0.001068323 0.0005962733 0.0007950311 0.00027329192 0.00029813664 0.0024099378 0.005590062 9.9378885e-05 0.00067080744 0.0011180125 0.00042236026 0.00027329192 0.0004720497 0.0017391305 0.0002484472 9.9378885e-05 0.00017391304 0.0001242236 0.00032298136 0.00017391304 0.00014906832 0.00017391304 0.0002484472 0.000621118 0.000621118 0.0001242236 7.453416e-05 7.453416e-05 0.00022360249 7.453416e-05 0.0007950311 0.00022360249 0.00057142857 0.00057142857 0.0001242236 0.00032298136 0.00014906832 0.0043975157 0.0015403726 0.00027329192 0.03985093 0.00014906832 0.00014906832 0.00032298136 0.0004720497 7.453416e-05 0.001068323 0.00034782608 0.0002484472 0.00054658385 0.00032298136 0.00022360249 0.0002484472 0.00042236026 0.0019130434 0.00022360249 0.00022360249 0.00057142857 0.00029813664 0.00034782608 0.00044720498 0.00054658385 0.001863354 0.00022360249 0.00019875777 0.00032298136 0.0003726708 0.0001242236 0.00039751554 0.0002484472 0.0004720497 0.00014906832 0.00017391304 2.4844721e-05 0.000621118 0.00027329192 9.9378885e-05 0.00019875777 0.0008447205 7.453416e-05 0.00022360249 0.00032298136 0.00027329192 0.0002484472 0.0001242236 0.0002484472 0.00017391304 0.00022360249 0.0003726708 0.00034782608 0.00042236026 0.00022360249 0.00029813664 7.453416e-05 0.00044720498 0.0003726708 7.453416e-05 0.0001242236 0.00029813664 0.0001242236 0.00022360249 0.00017391304 0.0005962733 0.00017391304 0.00027329192 0.0001242236 0.00014906832 0.00017391304 0.00019875777 0.00019875777 0.0019875776 0.00014906832 0.0001242236 0.0002484472 0.00044720498 0.0001242236 7.453416e-05 0.004795031 0.0019378882 4.9689443e-05 0.0001242236 0.0009440994 0.0005962733 0.0001242236 0.0011428571 0.04263354 0.05263158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024645353 0.0001927426 0.00033408718 5.1398027e-05 0.0002055921 6.4247535e-05 0.0003983347 0.0001927426 2.5699013e-05 2.5699013e-05 0.0 6.4247535e-05 3.854852e-05 1.2849507e-05 1.2849507e-05 5.1398027e-05 0.021741366 5.1398027e-05 0.00010279605 2.5699013e-05 2.5699013e-05 0.0 0.0 0.00012849507 0.00033408718 0.0 0.0 0.0 7.709704e-05 0.0 5.1398027e-05 0.003777755 0.02004523 7.709704e-05 0.00015419407 2.5699013e-05 3.854852e-05 0.0 2.5699013e-05 6.4247535e-05 0.00050113077 0.0 0.0 0.0 0.0001927426 0.0 0.00014134457 0.005049856 0.021278784 0.00035978618 0.00043688322 0.00017989309 0.0003726357 0.00034693666 0.0009765625 0.00050113077 0.0005782278 5.1398027e-05 0.00012849507 8.9946545e-05 8.9946545e-05 0.0002055921 0.00028268914 0.00043688322 0.09412263 0.0018760279 0.0046258224 0.0016575863 0.002004523 0.0017089844 0.0061035156 0.0043945312 0.0016061884 0.00033408718 0.003880551 0.00026983963 0.0006167763 0.00028268914 0.00047543173 0.007619757 0.091835424 0.0012335526 0.012374075 0.0022229645 0.002736945 0.0024285568 0.028230365 0.013234992 0.001066509 0.00012849507 0.00016704359 0.00021844161 0.0001927426 0.00035978618 0.0003983347 0.001066509 0.059531763 0.002659848 0.0043431334 0.0015162418 0.0016832853 0.0024028576 0.005101254 0.0063862046 0.0026341488 0.00034693666 0.009328742 0.0006938733 0.0006938733 0.0005782278 0.00043688322 0.006925884 0.17434211 0.01874743 0.030080695 0.007889597 0.0068102386 0.009444388 0.021201685 0.019030118 0.0057437294 0.0021972656 0.0039961967 0.002993935 0.003572163 0.0025956004 0.0017218338 0.0054224916 0.004972759 0.00025699014 0.0002055921 0.0007452714 0.00088661595 5.1398027e-05 0.00042403373 0.011654503 0.0043431334 0.00015419407 0.01638312 0.001143606 8.9946545e-05 2.5699013e-05 7.709704e-05 0.011217619 0.011397513 0.0004111842 0.0006424753 0.0017860815 0.0023000618 0.00035978618 0.0023771587 0.016871402 0.007144326 0.0002055921 0.017385382 0.0019145765 0.0001927426 0.00015419407 0.00024414062 0.015560753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14.615385 1520.0 0.17828947 0.0032894737 0.0138157895 0.08618421 0.0 0.0 0.0 0.002631579 0.009868421 0.009868421 0.0019736842 0.0019736842 0.005263158 0.0019736842 0.011842106 0.0 0.0019736842 0.007236842 0.002631579 0.0065789474 0.00065789477 0.0 0.0 0.0019736842 0.00065789477 0.002631579 0.0032894737 0.0 0.002631579 0.008552631 0.00065789477 0.0 0.0013157895 0.0013157895 0.0 0.002631579 0.016447369 0.0032894737 0.002631579 0.0013157895 0.002631579 0.0019736842 0.0 0.0 0.00065789477 0.0019736842 0.0013157895 0.0065789474 0.005263158 0.0019736842 0.004605263 0.005921053 0.008552631 0.0 0.0 0.0 0.0 0.0 0.00065789477 0.0039473684 0.0 0.0032894737 0.0 0.015131579 0.004605263 0.022368422 0.0032894737 0.028947368 0.004605263 0.051973686 0.008552631 0.0019736842 0.005921053 0.020394737 0.0013157895 0.00065789477 0.02631579 0.015131579 0.024342105 0.022368422 0.025 0.0013157895 0.02631579 0.023026315 0.03355263 0.011184211 0.007236842 0.13092105 0.008552631 0.005263158 0.0125 0.0013157895 0.002631579 0.0 0.0 0.008552631 4.8592405 0.0 0.0 0.0 2.0 40250.0 98304.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1193197400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6478324 0.0 0.0 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 -66260.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 74360.0 1080.0 81920.0 0.0 0.0 0.0 0.0 12.0 90112.0 28.0 74232.0 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: 0.10925808 0.004423627 0.00837414 0.0030515932 0.0033827738 0.0027282978 0.002736183 0.003138331 0.0029885112 0.0032092982 0.0024365433 0.0027519537 0.0027125273 0.0024996256 0.0026652159 0.0030042818 0.0033670033 0.0028386915 0.0027834945 0.0030358227 0.003201413 0.0031462163 0.003020052 0.0031541015 0.003138331 0.002862347 0.003012167 0.003201413 0.002767724 0.003508938 0.0029254293 0.0035641347 0.0048730867 0.0049282834 0.004313234 0.0035404789 0.0035247083 0.0033433477 0.003359118 0.0028702323 0.0030042818 0.0028938882 0.0025390517 0.008303172 0.0031619868 0.0040214793 0.0032487246 0.0032408393 0.005062333 0.0052594645 0.005101759 0.005472366 0.006079531 0.0042816927 0.004313234 0.0041712993 0.0038795448 0.0038795448 0.0038795448 0.004194955 0.004218611 0.004258037 0.0037849217 0.0041476437 0.0053304317 0.005811432 0.005101759 0.0046838406 0.005811432 0.0043211193 0.0045813327 0.0054565957 0.003982053 0.004415742 0.0041476437 0.00403725 0.0041712993 0.004076676 0.0040451353 0.0036745283 0.0040057087 0.003012167 0.0029963965 0.0033827738 0.0033670033 0.0029017734 0.003603561 0.008397795 0.0031541015 0.0029017734 0.0029254293 0.0031462163 0.008121812 0.002917544 0.0029254293 0.003012167 0.0029411996 0.008902452 0.008090271 0.003296036 0.003508938 0.0095096165 0.003232954 0.0032723802 0.00325661 0.003359118 0.0081770085 0.0029490849 0.0037454956 0.0026257895 0.003012167 0.0036824136 0.0029885112 0.0028938882 0.0041161026 0.0036902989 0.0035325936 0.0031304457 0.0029096587 0.0029096587 0.0027519537 0.0026573306 0.0024917403 0.0024917403 0.0025153959 0.008468763 0.003351233 0.003848004 0.002917544 0.0030989049 0.0027519537 0.0030673638 0.0027834945 0.0032487246 0.007640811 0.0027598387 0.0030042818 0.0027519537 0.0026573306 0.003824348 0.0023024941 0.0029885112 0.0024680845 0.0025863633 0.0025075106 0.0025153959 0.0026731011 0.0025311664 0.0026257895 0.0026888715 0.0025627075 0.0027519537 0.0023734614 0.0026731011 0.0026494453 0.0026336748 0.0024128878 0.0024996256 0.00777486 0.0025390517 0.0077196634 0.0024601992 0.0024365433 0.0026179042 0.0024917403 0.0021526744 0.0022394122 0.0021053627 0.0024365433 0.0026573306 0.0027204126 0.0075225323 0.002610019 0.0022946089 0.002428658 0.003075249 0.003020052 0.0024680845 0.0027125273 0.0026731011 0.002546937 0.0026257895 0.0076644667 0.0025942484 0.0025705928 0.0025075106 0.0022551825 0.008066614 0.002917544 0.0024759697 0.002980626 0.0025232811 0.0029254293 0.002610019 0.0029490849 0.0075540734 0.0026179042 0.0024365433 0.0024759697 0.0024601992 0.002610019 0.002546937 0.0023734614 0.0025942484 0.0028544618 0.002231527 0.002270953 0.0026021337 0.0028308062 0.0025075106 0.0031935277 0.0025232811 0.00264156 0.002365576 0.0025075106 0.0071913516 0.0026336748 0.0028544618 0.0023734614 0.0026809862 0.0028308062 0.008271631 0.0034222002 0.0028465765 0.0030279374 0.0025232811 0.0028860029 0.002483855 0.002862347 0.002799265 0.0026809862 0.0024996256 0.003359118 0.0027834945 0.003911086 0.0027282978 0.0029963965 0.0027282978 0.0025705928 0.00264156 0.002610019 0.007837942 0.0028150356 0.0024601992 0.0028860029 0.0025705928 0.0026731011 0.002862347 0.0030515932 0.0024601992 0.002428658 0.00264156 0.0027125273 0.0024444286 0.002578478 0.005093874 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1805.0 6.3977838 11548.0 0.012123311 0.018877728 0.00510911 0.0032906132 0.0047627296 0.004329754 0.0038101836 0.0044163493 0.0036369935 0.0034638033 0.0027710425 0.04979217 0.0036369935 0.0048493245 0.004069969 0.0038101836 0.01619328 0.016453065 0.01740561 0.019137513 0.017232422 0.009352269 0.011950121 0.009005888 0.008746103 0.008746103 0.011170765 0.009179079 0.009265673 0.01021822 0.010304815 0.011603741 0.011257361 0.01740561 0.01021822 0.014028403 0.017059231 0.010997576 0.012296502 0.02182196 0.010651195 0.012902667 0.008659508 0.011603741 0.010824385 0.01108417 0.012469692 0.009698649 0.013075857 0.0039833738 0.0045895395 0.0069276066 0.0038967787 0.0030308277 0.005368895 0.050051957 0.0058884653 0.0044163493 0.0038101836 0.0046761343 0.047454104 0.0047627296 0.0045895395 0.0050225146 0.0039833738 0.008832699 0.0050225146 0.007447177 0.008313128 0.017059231 0.0050225146 0.0056286803 0.0059750606 0.0101316245 0.04702113 0.0048493245 0.011690336 0.0058018705 0.007880152 0.010478005 0.004502944 0.0045895395 0.012469692 0.0079667475 0.012296502 0.0050225146 0.004069969 0.0050225146 0.0038101836 0.0047627296 0.0026844474 0.0023380672 0.0034638033 0.04702113 0.004069969 0.007533772 6.136599 0.0 0.0 0.0 4.0 126819.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.31508407 0.0025710943 0.0015568094 0.0008208631 0.00083029835 0.0006934878 0.007784047 0.0018162776 0.0010190025 0.0010992017 0.0017077727 0.00085388636 0.0003538203 0.00069820543 0.0017926896 0.001632291 0.00030664427 0.00039627875 0.0023588021 0.0005802653 0.00033966752 0.00024531543 0.00040571397 0.00021229219 0.00024531543 0.0005519597 0.000226445 0.00018870417 0.00014624573 0.00048591325 0.0004387372 0.00031607947 0.00746325 0.0008774744 0.0010756138 0.00029720907 0.00033966752 0.0010048497 0.0005378069 0.00035853792 0.0006887702 0.0003349499 0.0006746174 0.00028305626 0.00043401957 0.00040099636 0.0018162776 0.00040099636 0.0007500991 0.00033966752 0.0002311626 0.00024059782 0.0016228559 0.00029249146 0.00024059782 0.0021040514 0.00029720907 0.00036325553 0.00025946824 0.00018398656 0.00030664427 0.00033966752 0.00024531543 0.00029249146 0.0007123582 0.0005802653 0.00038684355 0.00046704282 0.00038212593 0.00024059782 0.00024059782 0.0011510954 0.00021229219 0.00036325553 0.0001132225 0.00015568094 0.00019813937 0.00027833864 0.00019342177 0.000226445 0.00036797312 0.0002217274 0.00029249146 0.0005849829 0.000226445 0.0028918914 0.0003443851 0.00018398656 0.000226445 0.00025003302 0.00027362103 0.00020285699 0.00031607947 0.00012265772 0.00012737532 0.0004387372 0.00020285699 0.0021559452 0.00080671033 0.0006510294 0.00062744133 0.0027173401 0.0002311626 0.0004623252 0.00040099636 0.0014813277 0.00013681051 0.0002311626 0.00091521523 0.0008774744 0.0012124242 0.0014530221 0.0005849829 0.00014624573 0.001561527 0.001585115 0.002038005 0.00080671033 0.00033966752 0.00020757459 0.00030664427 0.00070292305 0.00017926896 0.0003538203 8.491688e-05 0.00050478365 0.00014624573 0.0020049817 0.00061800616 0.00020757459 0.00013681051 0.00034910272 0.00017926896 0.000226445 0.00037740835 0.00026418583 0.00024059782 0.00014152813 0.0009718265 0.00017455136 0.00018398656 0.00027362103 0.000429302 0.000226445 0.00040571397 0.0002311626 0.00020757459 6.604646e-05 8.491688e-05 0.00035853792 0.00029720907 0.00025475063 0.00018870417 0.00024531543 0.0004481724 0.00059913576 0.00015568094 7.5481665e-05 0.00030192666 0.0004387372 0.00038684355 0.00041043156 0.0004387372 0.00018870417 0.0002217274 0.00012265772 0.00037269073 0.00041514917 0.00046704282 0.00039156116 0.00047647802 0.00018870417 0.0010614609 9.4352086e-05 0.00041043156 0.0003538203 0.00040571397 0.00048591325 0.0003113619 0.00013681051 5.661125e-05 0.00021229219 0.00038212593 0.0004434548 0.0007736871 0.00038684355 3.7740832e-05 0.00024531543 0.0004434548 0.00039156116 0.00036325553 0.000858604 0.00047647802 0.00010850489 0.0003302323 0.00040571397 0.00093408563 0.00050006603 0.0014907629 0.00010850489 0.00082558073 0.0009718265 0.0005378069 0.00093408563 0.0014011285 0.00042458437 0.00048119563 0.0014388693 0.0008869096 0.0029296323 0.0012124242 0.001335082 0.00042458437 0.0031041836 0.00083501596 0.00081142795 0.0019200649 0.00034910272 0.0016889023 0.0018493008 0.0021182043 0.0011652482 0.0010237201 0.0003302323 0.0054771383 0.0075434493 0.0022833205 0.002108769 0.0059017227 0.00061800616 0.0058356766 0.0036419905 0.012907365 0.021748155 0.0003302323 0.0029720906 0.019007226 0.0033636517 0.015237861 0.0011416603 0.011577001 0.0020898986 0.012657332 0.014483045 0.0011982715 0.017332477 0.008892684 0.01825241 0.003981658 0.0179552 0.0018634537 0.041797973 0.093903914 0.0017219256 0.010086237 0.16549356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008713213 2.3702973e-05 0.00045983767 1.4221784e-05 9.481189e-06 1.4221784e-05 0.0004408753 4.7405947e-06 2.8443568e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004060319 1.1851486e-05 3.3184162e-05 4.7405947e-06 0.0 4.7405947e-06 2.3702974e-06 0.00011140398 2.3702974e-06 0.0 0.0 7.110892e-06 7.110892e-06 1.4221784e-05 0.00024177032 0.0003531743 0.01147935 3.7924758e-05 4.503565e-05 3.3184162e-05 7.110892e-06 1.4221784e-05 6.399803e-05 0.00060442585 1.1851486e-05 2.3702974e-06 4.7405947e-06 1.6592081e-05 1.1851486e-05 1.4221784e-05 0.00024651093 0.001969717 0.04710018 0.0007110892 0.0021735628 0.00083908526 0.00028917627 0.00025836242 0.00048354064 0.0003768773 0.00039346935 0.00019673468 0.0003318416 0.0008936021 0.0017492794 0.002128527 0.0028325054 0.10429071 0.067330666 0.0010144872 0.0024129627 0.00084619614 0.0006020555 0.00030102776 0.00029391688 0.0008082714 0.00046694858 0.0008272338 0.0008864912 0.000853307 0.0020716398 0.0049634026 0.024565762 0.11020223 0.10046268 0.0021806736 0.0046268203 0.0017611309 0.0011519645 0.001962606 0.0018630537 0.0013321071 0.001642616 0.0011045586 0.0025670321 0.0020194934 0.003086127 0.007248369 0.025222333 0.11846746 0.05125057 0.0013344774 0.0035625568 0.0014648438 0.001666319 0.0015572853 0.00566264 0.0042309808 0.00082960405 0.0014648438 0.0013724022 0.0010144872 0.0031927906 0.005245468 0.04464929 0.0656762 0.033854958 0.0013202556 0.002223339 0.0020029012 0.0012586279 0.0021948954 0.0026120676 0.0021143053 0.0011330021 0.0003650258 0.00058783375 0.0009030833 0.0010476714 0.0017753527 0.010566786 0.018564168 0.014627105 0.0007039783 0.0011827784 0.0010500418 0.00086752884 0.0007584951 0.0026642142 0.00167343 0.00048354064 0.00041480202 0.000263103 0.00024414062 0.00024177032 0.00068264565 0.0023134102 0.0058095986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 231.0 17.77489 4106.0 0.017535314 0.00024354603 0.005358013 0.0012177301 0.0007306381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038967365 0.0051144664 0.024841694 0.0014612762 0.011203118 0.0063321968 0.0012177301 0.0031660984 0.0038967365 0.0036531906 0.0024354602 0.0024354602 0.0026790064 0.0031660984 0.0017048222 0.0 0.0031660984 0.005845105 0.0031660984 0.00048709207 0.00024354603 0.014369216 0.0048709204 0.0131514855 0.009741841 0.0051144664 0.0046273745 0.0034096444 0.0021919142 0.005601559 0.0 0.0019483683 0.0024354602 0.0043838285 0.0026790064 0.0012177301 0.0038967365 0.00024354603 0.009011203 0.01899659 0.0065757427 0.0017048222 0.0034096444 0.0014612762 0.0 0.0 0.0 0.0 0.0017048222 0.0 0.0 0.0085241115 0.00048709207 0.040428642 0.019240137 0.02386751 0.021919142 0.11446664 0.006088651 0.01656113 0.008037019 0.05163176 0.0012177301 0.0031660984 0.031660985 0.032391623 0.045056015 0.05090112 0.013882124 0.00097418413 0.062347785 0.057963956 0.07890891 0.0306868 0.0051144664 0.005601559 0.0036531906 0.023623966 0.0031660984 0.00024354603 0.0 0.00024354603 0.0 0.0 5.139988 1.0 0.0 0.0 1.0 211972.0 237568.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1517503500.0 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 -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 11.0 0.0 4.0 0.0 6.0 0.0 109568.0 512.0 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 -109568.0 0.0 101376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.593061 0.0 4.3095303 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 -109348.0 0.0 101344.0 0.0 0.0 0.0 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 75.0 117456.0 101344.0 122880.0 0.0 0.0 0.0 0.0 12.0 229376.0 28.0 117144.0 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: 0.15298568 0.011399887 0.0064326283 0.004110883 0.0067865313 0.0039840387 0.0016013242 0.0026770497 0.019694537 0.0036925066 0.003315477 0.002627293 0.012601756 0.0016468761 0.0014043999 0.0063583436 0.008803429 0.002918825 0.0018739348 0.0014667709 0.004122096 0.0027702558 0.0010448904 0.00095168414 0.0026286945 0.0008970219 0.0008066189 0.0008045165 0.0021941997 0.001240413 0.0008122253 0.0019517234 0.00865556 0.00094047136 0.0017954453 0.0009369674 0.001706444 0.0020554415 0.0007561614 0.00086618675 0.0023448712 0.0008970219 0.0007211215 0.0010196615 0.0012348067 0.0013350209 0.0018585172 0.0016707033 0.002974889 0.0018017526 0.0011906564 0.0058089173 0.0012880673 0.0012579331 0.0007113103 0.0010701191 0.0018452021 0.0010967494 0.0010617095 0.0015585755 0.0024612038 0.002064552 0.0010827335 0.0006019858 0.0019475187 0.0017197592 0.0024906374 0.0016721048 0.0022860041 0.027244937 0.0010154569 0.00090963626 0.00220331 0.0013714624 0.0007204207 0.0006342225 0.0022565706 0.018224262 0.0011822468 0.0012284995 0.0117089385 0.010031928 0.010676662 0.0015298428 0.0022012077 0.01841558 0.0010904422 0.00085637555 0.0012348067 0.0007211215 0.0006181041 0.0006902864 0.0017085464 0.0023665961 0.00077438215 0.001768815 0.0012481218 0.0040611266 0.0012425155 0.0031872308 0.003328792 0.006131285 0.0025740324 0.0014632669 0.006554567 0.00422231 0.008001716 0.002669341 0.00340588 0.0021101038 0.0036861994 0.003860698 0.0023343593 0.0007638702 0.004131907 0.0038151462 0.013797318 0.006603623 0.0014969052 0.0013287137 0.0017709174 0.0018304853 0.0012299011 0.0008094221 0.0014927005 0.007923927 0.000934865 0.0018010518 0.0053407843 0.0028536508 0.0028298236 0.025682857 0.0021906956 0.008303059 0.00053470914 0.0005634419 0.004830603 0.016635552 0.00115001 0.052946717 0.0011619236 0.009331831 0.0009257546 0.0006377265 0.0025137637 0.0027064832 0.00065244327 0.00060548977 0.0013308161 0.0030211417 0.0006874832 0.00079400453 0.0017253655 0.00079050055 0.0005578355 0.00086268276 0.0014695742 0.0009965353 0.0009026283 0.0009369674 0.0015803003 0.0015648827 0.0009593929 0.0012691459 0.0018648244 0.000986724 0.00081993407 0.0008017133 0.0025389923 0.00083885563 0.0007694766 0.0007792878 0.0015172284 0.000844462 0.0007652718 0.00090122665 0.0017562007 0.0007428462 0.0006783728 0.000677672 0.0014660702 0.0007120111 0.0023441706 0.0010820327 0.00448581 0.0018718324 0.0017996501 0.0007120111 0.001477283 0.001734476 0.0016728056 0.0011969636 0.0057402393 0.0040779454 0.002349076 0.0023392648 0.011503605 0.000927857 0.0014464478 0.0065594725 0.0024829286 0.0014373374 0.0008500684 0.0006314193 0.014957139 0.00092154986 0.0006398289 0.0010371816 0.002397431 0.0027779646 0.0017407831 0.00076316943 0.002068056 0.0005241972 0.0007561614 0.00064964005 0.002030213 0.0006783728 0.00057395385 0.0006783728 0.0017772246 0.00048495247 0.00049826765 0.00075335824 0.0032271764 0.0016657977 0.0017316727 0.0004737397 0.0024275654 0.0015866074 0.00042047902 0.0005508275 0.013937478 0.0049469355 0.001025268 0.0057108058 0.005269303 0.0008010125 0.0007975085 0.0013125953 0.0036637739 0.0006587505 0.0006321201 0.0010245672 0.0040492127 0.0008122253 0.0012446179 0.0021192143 0.0063380203 0.0012761538 0.0013469345 0.0034142896 0.00819864 0.002179483 0.008543433 0.055285282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006156132 3.156991e-06 0.0 2.4554374e-06 0.0 0.0 0.0 1.7538838e-06 1.403107e-06 0.0 7.366312e-06 4.209321e-06 2.1046606e-06 0.0 1.087408e-05 6.9453796e-05 0.0029128501 0.00016767129 2.700981e-05 3.7533115e-05 3.9637773e-05 3.8234666e-05 4.630253e-05 3.0868356e-05 3.9287e-05 8.769419e-06 3.4726898e-05 1.50834e-05 1.0523303e-05 7.717089e-06 1.50834e-05 0.00016065575 0.0017240677 0.00015784954 7.752166e-05 2.8763694e-05 0.0003805928 0.00026062713 1.4732624e-05 1.50834e-05 1.0523303e-05 1.6135731e-05 1.2627964e-05 5.2616515e-06 1.087408e-05 0.0 5.963205e-06 0.00015293866 0.0025655811 0.00032832703 8.734341e-05 4.3847096e-05 0.00010172526 3.4726898e-05 8.874652e-05 7.822322e-05 7.822322e-05 2.4203597e-05 3.7533115e-05 1.96435e-05 1.403107e-05 1.6486507e-05 1.087408e-05 6.243827e-05 0.0039073024 1.5434178e-05 0.0011389721 9.6463606e-05 0.00058158784 0.00050757395 0.0035053121 0.001671802 8.979885e-05 4.5250203e-05 3.0517578e-05 1.96435e-05 0.0004528528 1.403107e-05 6.138593e-05 7.471545e-05 0.005962503 0.00025466393 0.0013455796 0.00033148404 0.00071418146 0.00046232378 0.005026631 0.0024193074 9.6463606e-05 9.400817e-05 5.963205e-05 3.4376124e-05 5.0511855e-05 3.8234666e-05 4.4548648e-05 0.00030692967 0.010850578 0.0003742788 0.0055524455 0.0030033507 0.002914955 0.002233045 0.013087831 0.006652832 0.00031780376 0.0002595748 0.00010558381 0.00012207031 0.00047600406 8.734341e-05 0.00013575061 0.00052195584 0.010527161 0.00062297954 0.0027286925 0.0019397954 0.0036828052 0.0030163294 0.0061003584 0.0037133228 0.00046372687 0.0004826688 0.0003588446 0.00016626819 0.00020590596 0.00013294439 0.00014101226 0.00091833354 0.01097791 0.00090781023 0.0011035437 0.0015416639 0.0016500539 0.001489749 0.002520331 0.0036477274 0.0031099867 0.0011905363 0.0010091848 0.0006685805 0.0015055338 0.0010533826 0.0006415707 0.0043387576 0.06086082 0.008027877 0.0057401108 0.005921813 0.013706602 0.014213825 0.007894932 0.008473364 0.035696447 0.0058930498 0.0060610715 0.006672125 0.013514025 0.0040847952 0.009559719 0.029311609 0.12287324 0.020327864 0.007408405 0.010675189 0.036070023 0.03885589 0.015890889 0.020523949 0.08693511 0.00846249 0.006771745 0.012361373 0.036636177 0.008700667 0.02929477 0.05904555 0.0037708501 0.0010656598 0.00043215696 0.0011358152 0.0041423226 0.0023305607 0.00036270317 0.0016163794 0.006269433 0.0009888397 0.0012898061 0.001282089 0.002052395 0.0018450858 0.0028356793 0.0023445918 0.0036042312 0.0030629826 0.0031138454 0.0030689458 0.0031717236 0.0030033507 0.0030131724 0.0031226147 0.0029531897 0.0031019188 0.0030401822 0.003062632 0.0030180833 0.0031899638 0.003175582 0.0035849386 4686.0 22.557405 105704.0 0.0818039 0.00059600396 0.013358057 0.002194808 0.004304473 0.00921441 0.0009838796 0.00079467194 0.0025353818 0.0024596988 0.0007568304 0.000274351 0.0015893439 0.007994021 0.012412018 0.0041720276 0.007871036 0.010917278 0.0052126693 0.0030746234 0.00248808 0.002592144 0.001967759 0.0022610307 0.0048910165 0.0064803604 0.006489821 0.0027340497 0.006924998 0.011551124 0.0069912206 0.0005865436 0.0015136608 0.009668509 0.0041909483 0.013282374 0.0069817603 0.015628548 0.0060168016 0.0038787557 0.004408537 0.009867176 0.00059600396 0.0019488382 0.010737531 0.009630667 0.0084765 0.0059884205 0.0068587754 0.0028759555 0.009573905 0.011371377 0.009886097 0.0047585713 0.0050423825 0.0027908122 0.0030840838 0.0021758873 0.0009081965 0.0008514342 0.009999622 0.00083251344 0.00059600396 0.014786574 0.0004257171 0.041417543 0.0072088097 0.028021645 0.02712291 0.066364564 0.010746991 0.010538863 0.014502763 0.04240142 0.0012487702 0.004559903 0.027586468 0.017567925 0.03804965 0.038219936 0.016375918 0.0012487702 0.0423352 0.03613865 0.0522686 0.012307954 0.0083535155 0.0065844245 0.005108605 0.010387497 0.0024313177 0.0008514342 0.00045409825 0.0006527662 0.00041625672 0.00041625672 5.653846 140.0 5.0 0.0 28.0 1426944.0 1454080.0 1.0 0.0 313.0 0.0 1.0 0.0 1.0 0.0 1538051200.0 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 14.0 14.0 6.0 0.0 6.0 0.0 1042432.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 -888320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -80384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154112.0 0.0 249856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.510876 0.0 0.0 -6.05591 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.561152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1594124 0.0 6.8856015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53048.0 0.0 0.0 -887897.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100908.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -153950.0 0.0 249848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 0.0 -3.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 3.0 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 -2.0 0.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 3.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 1.0 -1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 2.0 0.0 0.0 0.0 2.0 -1.0 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 1.0 0.0 2.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 2.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 580.0 1093596.0 249848.0 1204224.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1087024.0 0.0 0.0 0.0 0.0 24.0 1087184.0 64.0 1087112.0 0.0 0.0 2376.0 1048576.0 0.0 0.0 0.0 0.0


Input: 0.15442114 0.01086095 0.006181805 0.00822564 0.014925618 0.0048534283 0.003617457 0.0026017774 0.013824161 0.0031721957 0.002539784 0.0025557699 0.009416774 0.004152005 0.0018855381 0.008711841 0.0099326065 0.0018114579 0.0011681292 0.0010129504 0.005910047 0.002284012 0.0010952185 0.0008164427 0.0049848235 0.00083944655 0.0007255969 0.0008796059 0.0056035887 0.0009837082 0.00095680536 0.0015915564 0.0071865674 0.00091547635 0.0008772665 0.0014492443 0.027805839 0.0011923027 0.00068777695 0.00062695314 0.003264601 0.00067413057 0.0005879635 0.0030493785 0.0023908436 0.00091937534 0.0008488041 0.0007103909 0.003576518 0.00085114344 0.0008281396 0.004815998 0.0022438527 0.0009825384 0.0006924557 0.0006581448 0.0031269677 0.0016414631 0.0016964385 0.0059424085 0.0035628718 0.0020730782 0.001311221 0.0039145583 0.0042853495 0.0021514473 0.002227867 0.0016254773 0.011863372 0.01036734 0.002904337 0.0019490912 0.0035418174 0.0017194423 0.0010952185 0.00068894663 0.0055774655 0.0074224547 0.0014749775 0.0013236977 0.009120063 0.005568108 0.0037593795 0.0037484623 0.00447133 0.008243966 0.0042923675 0.002978807 0.0018812492 0.0024504978 0.0007345645 0.002243073 0.0047968933 0.0029589224 0.0044483263 0.005012896 0.003137495 0.005192638 0.002209152 0.0026201026 0.004553598 0.006710894 0.003388588 0.0013240876 0.00578684 0.0037730257 0.0034135415 0.0015397002 0.004452225 0.0019280368 0.0031078628 0.003103184 0.0047501056 0.0005571617 0.003716491 0.0026867748 0.011906651 0.007540593 0.0015088985 0.0042256955 0.00371961 0.0023846054 0.001788454 0.0008671292 0.004863566 0.0029109654 0.0020687894 0.001799761 0.0026243916 0.0025604486 0.0007232575 0.01852007 0.0027585158 0.00623678 0.0008300891 0.0005684687 0.0021537868 0.02291537 0.0013946588 0.05061672 0.0013907598 0.010082327 0.0007470412 0.0004893198 0.0023378178 0.00045227964 0.00033687035 0.00048425113 0.0013533299 0.0011965915 0.00084607484 0.00041134053 0.0010039827 0.0009681123 0.00038248822 0.000514663 0.001074164 0.00054312544 0.0007337847 0.00056807883 0.0014410565 0.0021222052 0.0006179855 0.0011162729 0.00092249445 0.0006101876 0.0003820983 0.0003220543 0.0009782496 0.00039457498 0.00038053872 0.00037079133 0.0007879803 0.00041484958 0.00040042342 0.00085972116 0.0013915397 0.00041095063 0.00036689235 0.00036650244 0.0009634336 0.00065775495 0.0017876743 0.0010168494 0.0022645174 0.0013911497 0.00070532225 0.0005170024 0.0009123572 0.00073105545 0.0014375474 0.0013108312 0.008181972 0.0056679216 0.0038997422 0.006278499 0.010416858 0.0012110177 0.0024965056 0.0068360507 0.002445819 0.0018679928 0.0011884037 0.0010963882 0.023417557 0.00076185726 0.0011568221 0.0014344283 0.002498455 0.0015568556 0.0022150006 0.0016695356 0.0010589581 0.0009989141 0.0007037627 0.00089325226 0.0025378345 0.0025643476 0.00061720575 0.0013700953 0.0025822828 0.0015693323 0.00074860075 0.00057119795 0.0029721789 0.0010359543 0.0011540928 0.0005793858 0.001837191 0.0010562289 0.0005840646 0.0005743171 0.016448162 0.0037847226 0.00081332354 0.0044884854 0.0035741788 0.0008577717 0.00085465255 0.0007006435 0.0039781113 0.0008682989 0.0011131538 0.0011147133 0.0022524304 0.00077082484 0.0023233916 0.001965467 0.004836273 0.0023155937 0.0017237313 0.0014558726 0.003599522 0.001619239 0.0029140844 0.03303864 0.012351585 0.0 1.950784e-06 7.4129794e-06 1.7557056e-06 1.950784e-07 1.2680096e-05 3.7064897e-06 0.0 0.0 0.0 0.0 3.901568e-07 0.0 0.0 5.4621955e-06 0.002296658 3.901568e-07 7.803136e-07 4.0966465e-06 5.8523524e-06 1.5606272e-06 1.71669e-05 6.827744e-06 7.803136e-07 1.1704705e-06 1.950784e-07 7.803136e-07 7.803136e-07 1.950784e-06 1.950784e-07 5.7938287e-05 0.007534318 0.00022687619 0.00027993752 6.6911896e-05 2.0288155e-05 1.5411195e-05 3.1407624e-05 2.4774958e-05 2.3604487e-05 1.8142291e-05 1.1509626e-05 6.827744e-06 3.7064897e-06 2.9261762e-06 4.681882e-06 0.00011860767 0.0028387809 7.451995e-05 9.6368734e-05 2.692082e-05 1.4825959e-05 8.973607e-06 2.945684e-05 2.0873389e-05 4.8769602e-06 5.8523524e-06 9.363764e-06 7.217901e-06 6.437587e-06 7.0228225e-06 4.291725e-06 4.038123e-05 0.0029199335 9.948999e-05 6.671681e-05 2.0483232e-05 3.8430448e-05 7.4715026e-05 7.237409e-05 3.8430448e-05 3.2383014e-05 7.217901e-06 7.803136e-06 1.0339156e-05 1.697182e-05 7.0228225e-06 1.8922605e-05 0.00016445109 0.00381905 0.0001507956 0.00012660588 8.212801e-05 8.368864e-05 7.1398696e-05 0.0003802078 0.00018844575 2.1263546e-05 1.8532448e-05 1.7557057e-05 8.778528e-06 2.7701133e-05 1.7361977e-05 1.7361977e-05 0.00016289047 0.0066794846 0.00015586764 0.0001662068 0.00026491648 0.00020268647 0.000243848 0.0009551039 0.00039991073 6.5546345e-05 0.0001102193 3.686982e-05 4.15517e-05 8.193293e-05 4.389264e-05 7.86166e-05 0.00046136044 0.00786244 0.00022570572 0.00041415147 0.00050291215 0.00049198774 0.0005475851 0.0025966887 0.0013831059 0.00014435803 0.00012992222 8.076246e-05 0.00010865867 0.0012375774 0.00014201707 0.000151771 0.0007602206 0.011117518 0.0003415823 0.0028926225 0.0008565893 0.0017065459 0.001870997 0.012385723 0.006262212 0.00023897104 0.00026160013 0.00016191507 0.00015411194 0.0017867232 0.00017966721 0.00016289047 0.001569991 0.006464118 0.0005153972 0.0010936095 0.0007963101 0.0013756929 0.0016142738 0.0056120157 0.003137251 0.00022336477 0.00017576564 0.00014962514 0.00012777635 0.0006500012 0.00014143184 0.00016932805 0.002923835 0.005593093 0.00038332905 0.0009184291 0.0005073989 0.0011388677 0.00086049084 0.003114817 0.0015740877 0.00020112583 0.00020931913 0.00011158485 0.00015313654 0.0003413872 0.00014806452 0.00015391686 0.0009712954 0.005747205 0.00044614432 0.00063361466 0.00058035826 0.00075144204 0.0010356712 0.0017164949 0.001117019 0.000530028 0.000291057 0.00043248883 0.00039503377 0.0005068137 0.00023994644 0.00035582302 0.0008021624 0.012166845 0.0018838722 0.0015584814 0.00169172 0.0036339206 0.0024620846 0.0013959811 0.0021441067 0.006944401 0.0011168239 0.000838447 0.0011129223 0.003145054 0.001781651 0.002600005 0.006262797 0.09111878 0.018178966 0.023467736 0.014982217 0.029762723 0.03154886 0.01267717 0.019953985 0.065869786 0.0049891304 0.0046990486 0.0069046053 0.039202567 0.010941753 0.02142195 0.028571574 0.072493285 0.017651279 0.021215947 0.016606634 0.02069977 0.02611183 0.014904185 0.020766487 0.05012969 0.005600701 0.0053131552 0.0068478375 0.031072868 0.010172363 0.015692303 0.022692105 0.00069760036 0.000281108 0.00027584087 0.00093169446 0.00030744358 0.0002717442 0.0002701836 0.00026433123 0.00026452632 0.00027779164 0.00025808872 0.00035445747 0.00032773172 0.00033670533 0.00051032513 0.000363236 10504.0 15.281226 160514.0 0.05777689 0.003980961 0.0008348182 0.0006915285 0.013980089 0.0055446876 0.00064791855 0.0015388066 0.0033517326 0.0015699565 0.00052954885 0.0016447164 0.0034389524 0.0021742652 0.0057751974 0.0008098982 0.008248501 0.0034950222 0.002311325 0.002716274 0.0027411939 0.0026041341 0.0014578168 0.0017568561 0.0029031734 0.0030589232 0.015543816 0.004030801 0.0019686755 0.0016197964 0.0016571763 0.007588123 0.0048220092 0.00872198 0.0043859105 0.010154878 0.011245125 0.00451674 0.0055758376 0.009843378 0.0032894327 0.008852811 0.0008161282 0.0011276274 0.0068031447 0.003999651 0.0034140325 0.0048095495 0.009438429 0.004080641 0.008074062 0.019250657 0.007762563 0.006859215 0.008055372 0.007214324 0.0019312957 0.0032084428 0.0008721981 0.0033641926 0.001812926 0.0033641926 0.005332868 0.01366236 0.0012210773 0.04942248 0.009787308 0.025592783 0.025000935 0.08122033 0.010809026 0.014528328 0.01850929 0.048544053 0.0046475697 0.0043360703 0.029505214 0.016609143 0.041747138 0.043130193 0.016341254 0.0009781078 0.04461916 0.030034764 0.061116163 0.019238198 0.009475809 0.006765765 0.005806347 0.008136362 0.0012958371 0.00043609904 0.0020558955 0.0013768269 0.0011650074 0.0018939158 5.6073313 1.0 1.0 0.0 11.0 2564785.0 3952640.0 1.0 0.0 270.0 0.0 1.0 0.0 0.0 0.0 1490638300.0 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 2049024.0 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 271872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -119296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2049024.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8709416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8945446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7007093 0.0 4.6931396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 271506.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1578456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048573.0 0.0 40024.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 0.0 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 1.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 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 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 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -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 -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 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 2321352.0 40024.0 3911680.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 2057712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1140.0 2056192.0 0.0 0.0 0.0 0.0


Input: 0.22495095 0.011674958 0.005771791 0.005579106 0.008933576 0.003862458 0.0030566845 0.002855241 0.011823851 0.0020407091 0.002828966 0.0020669843 0.0072432035 0.0025749719 0.0011999019 0.006314812 0.0072432035 0.0014013452 0.00084080716 0.00072694785 0.004186519 0.0033457119 0.0011561099 0.0005868133 0.0031617854 0.0009809417 0.0005430213 0.000902116 0.0026362808 0.0008758408 0.00061308854 0.0017429232 0.0113071045 0.000858324 0.0008933576 0.0011736266 0.007847534 0.0009634249 0.0005868133 0.0008933576 0.0016728559 0.0007094311 0.00059557176 0.001996917 0.0013050028 0.0012349355 0.0012261771 0.00059557176 0.004177761 0.0019881586 0.0019881586 0.007663607 0.0021983604 0.002828966 0.0016290639 0.0016203055 0.0035909472 0.003538397 0.0018830578 0.00605206 0.0028902746 0.0035734305 0.0024961464 0.0024961464 0.0075672646 0.019434908 0.0015940303 0.002189602 0.006612598 0.01051009 0.003389504 0.002767657 0.0025136631 0.0021545684 0.0009634249 0.0008845992 0.00253118 0.005579106 0.0023297365 0.0013487948 0.0076373317 0.0026362808 0.0020669843 0.005123669 0.0022421526 0.004169002 0.0058506164 0.0040463847 0.0016991312 0.0053513874 0.0007357063 0.0018655409 0.0014538957 0.0040025925 0.0029778588 0.0027588985 0.0021983604 0.0051411856 0.001007217 0.0033632286 0.0035734305 0.009713074 0.0047295406 0.0016991312 0.005403938 0.0047470573 0.0061046104 0.0009371497 0.0042741033 0.0017429232 0.004422996 0.0054214546 0.003328195 0.00048171246 0.007663607 0.004440513 0.015283423 0.015476107 0.0024173206 0.0015765134 0.0016115471 0.0016991312 0.00056053814 0.00037661154 0.0016553391 0.0038099075 0.0015940303 0.0015064462 0.0036785314 0.0025486967 0.0011035594 0.016351948 0.002828966 0.008040219 0.0007444647 0.000621847 0.0026888312 0.012384389 0.0018742994 0.029612178 0.0011736266 0.007917601 0.00069191423 0.0007006726 0.0014013452 0.00035909473 0.00035909473 0.0007357063 0.0011298347 0.0011210763 0.0005167461 0.0005342629 0.0011210763 0.00068315584 0.0004116452 0.00038536996 0.0006568806 0.0005517797 0.00036785315 0.00029778588 0.0010422505 0.0019794002 0.00045543723 0.0018305073 0.0009809417 0.0012086603 0.000429162 0.0004379204 0.0009809417 0.00028902746 0.00029778588 0.0005780549 0.00080577354 0.00049922924 0.0006393638 0.00035909473 0.0010510089 0.0005780549 0.00036785315 0.0004379204 0.0006306054 0.00071818946 0.0009809417 0.0019706418 0.002557455 0.0010334922 0.0004379204 0.0007532231 0.0009459081 0.0007094311 0.0010597673 0.0007707399 0.008259179 0.0038361826 0.0027588985 0.0059732343 0.0046857484 0.000621847 0.0027501401 0.0047996077 0.0023647703 0.0025136631 0.0014714126 0.00080577354 0.0071643777 0.00052550447 0.0011736266 0.00079701515 0.0019005745 0.0014976878 0.0014101038 0.0021720852 0.0014101038 0.00039412835 0.0009634249 0.00056929654 0.001953125 0.0006743974 0.0006306054 0.0011736266 0.0012349355 0.00049922924 0.0006393638 0.0004116452 0.0036434978 0.00071818946 0.0008495656 0.0004116452 0.002426079 0.0014626541 0.00091087446 0.00060433015 0.0154673485 0.0027501401 0.000621847 0.0052900785 0.004335412 0.0003240611 0.00059557176 0.00059557176 0.0036347394 0.0011823851 0.00059557176 0.0011035594 0.0022596694 0.0004116452 0.0024611126 0.0020494675 0.005053601 0.0014626541 0.0008845992 0.0030391675 0.004790849 0.0016991312 0.003844941 0.051928602 0.018181818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014568537 0.00027965198 0.0003240412 2.6633523e-05 0.00085671165 0.00023970171 0.00025301846 0.0002840909 0.00043057528 5.7705965e-05 0.0002840909 2.6633523e-05 9.321733e-05 0.00013316762 7.9900565e-05 0.00024414062 0.0066006747 0.0003684304 0.00029740768 8.877841e-05 0.00049272017 0.00018643466 0.0005193537 0.00025301846 3.9950282e-05 3.5511363e-05 2.6633523e-05 3.9950282e-05 1.3316761e-05 6.2144885e-05 1.7755681e-05 4.8828126e-05 0.0195712 0.0 0.0025346235 0.00022194603 0.0014692827 0.0009099787 0.007892401 0.0037642044 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03062855 0.00052379264 0.0017356179 0.0023215555 0.0032670454 0.0013627486 0.0050514913 0.0030184658 0.0006480824 0.0006392045 0.00033291904 0.00031960226 0.00027521307 0.00047052556 0.00025745737 0.0036931818 0.020303622 0.00078125 0.0021928267 0.0009055398 0.0030584163 0.0012650923 0.008118786 0.0051535866 0.0009898792 0.0003062855 0.00039506392 0.00024414062 0.00044833097 0.00026633524 0.00029296876 0.0007324219 0.018563565 0.0006791548 0.0033336293 0.0017622514 0.004132635 0.0022416548 0.012557706 0.0072975853 0.00025745737 0.00096768467 0.00034623579 0.0001953125 0.0006036932 0.00040838067 0.00033735795 0.00086115056 0.019393643 0.0021173651 0.0025656961 0.013862749 0.0026056464 0.0019841974 0.0043279473 0.0030672941 0.0020330255 0.0017356179 0.0014160157 0.0013627486 0.0019975142 0.0013316761 0.0013716264 0.0024636008 0.012677557 0.0010209517 0.0021528765 0.006028054 0.0047851563 0.0024769176 0.00497603 0.0034446022 0.0037064985 0.0008034446 0.0009943182 0.001229581 0.0015181107 0.00090110087 0.0014648438 0.006365412 0.0551891 0.009303978 0.008203125 0.008216442 0.019824218 0.015851384 0.008806818 0.011514559 0.031844817 0.0026988636 0.0030584163 0.0039905896 0.016304154 0.004132635 0.012610973 0.024813564 0.078586645 0.016193181 0.010879794 0.017862216 0.032759234 0.028799716 0.012686434 0.026451526 0.054252487 0.0034446022 0.0061168326 0.0077636717 0.029838424 0.010063033 0.025057705 0.048335403 0.0 0.0 0.0 0.0 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 14.068808 9201.0 0.04532116 0.0015215738 0.0026084122 0.0017389414 0.007825237 0.0007607869 0.0010868384 0.0053255083 0.003369199 0.0010868384 0.0010868384 0.0019563092 0.0023910445 0.0039126184 0.004564721 0.0017389414 0.015650474 0.0084773395 0.007607869 0.008586023 0.007825237 0.009238127 0.007607869 0.0077165524 0.010216281 0.00793392 0.0063036624 0.0069557657 0.011194435 0.008586023 0.0120639065 0.011520487 0.006738398 0.017389415 0.0023910445 0.0070644496 0.02010651 0.006738398 0.0049994565 0.012498641 0.004564721 0.011520487 0.0017389414 0.0021736769 0.006194979 0.004673405 0.008586023 0.0035865668 0.02206282 0.0057602436 0.0084773395 0.024127813 0.0069557657 0.0030431475 0.016737312 0.015650474 0.008259972 0.0022823606 0.0011955223 0.0026084122 0.0029344636 0.0024997282 0.002064993 0.0066297143 0.0065210303 0.0322791 0.0068470817 0.025105966 0.017172046 0.06325399 0.0071731335 0.008586023 0.013368112 0.031518314 0.0038039344 0.0029344636 0.026736224 0.010868384 0.030214107 0.03706119 0.014128899 0.0013042061 0.04021302 0.025758069 0.053146396 0.020541245 0.008586023 0.0019563092 0.006194979 0.0084773395 0.0032605152 0.0009781546 0.0018476252 0.0010868384 0.0011955223 0.0018476252 5.9112883 1.0 0.0 0.0 3.0 114176.0 135168.0 1.0 0.0 113.0 1.0 1.0 0.0 0.0 0.0 1434774100.0 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 9.0 0.0 5.0 0.0 5.0 0.0 74240.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -74240.0 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 -4.7128925 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.93422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2714443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6519847 0.0 4.297986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74064.0 0.0 1136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 102564.0 1136.0 122880.0 0.0 0.0 0.0 0.0 4456.0 126976.0 28.0 82496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 99408.0 0.0 0.0 480.0 81920.0 0.0 0.0 0.0 0.0