Input: 0.69978946 0.010526316 0.003368421 0.0018947369 0.004210526 0.00084210525 0.00084210525 0.0037894738 0.005894737 0.002105263 0.00063157897 0.00021052631 0.00063157897 0.00084210525 0.00063157897 0.0069473684 0.006736842 0.0 0.00021052631 0.0 0.00021052631 0.0010526315 0.00021052631 0.0 0.00042105262 0.0 0.0 0.0 0.00021052631 0.00042105262 0.0 0.00063157897 0.009052631 0.00084210525 0.0016842105 0.0 0.00063157897 0.00063157897 0.00021052631 0.0 0.0016842105 0.00021052631 0.0 0.0 0.0 0.00021052631 0.0050526317 0.0012631579 0.003368421 0.0029473684 0.002105263 0.0012631579 0.002105263 0.0010526315 0.00063157897 0.0 0.00084210525 0.0023157895 0.0012631579 0.0 0.00042105262 0.00042105262 0.002105263 0.0010526315 0.0010526315 0.00021052631 0.00042105262 0.0016842105 0.0010526315 0.0023157895 0.0014736842 0.00021052631 0.00021052631 0.0010526315 0.0 0.00063157897 0.0014736842 0.002105263 0.002105263 0.0010526315 0.0018947369 0.0 0.0014736842 0.0014736842 0.0010526315 0.00021052631 0.0025263159 0.0012631579 0.00021052631 0.0 0.00021052631 0.0 0.0 0.0 0.00042105262 0.00063157897 0.00042105262 0.005894737 0.00042105262 0.002736842 0.003368421 0.008631579 0.0012631579 0.0014736842 0.0016842105 0.0075789476 0.0 0.0 0.004631579 0.0029473684 0.0056842105 0.006736842 0.0018947369 0.0 0.007157895 0.004 0.0044210525 0.0014736842 0.0 0.00084210525 0.0018947369 0.002105263 0.0 0.0 0.00042105262 0.0 0.0 0.00063157897 0.009894737 0.00021052631 0.0 0.00021052631 0.0 0.0 0.0 0.0 0.0048421053 0.0 0.002736842 0.00021052631 0.0 0.00021052631 0.00042105262 0.0014736842 0.00042105262 0.0 0.0 0.0 0.0 0.0 0.00021052631 0.0 0.0 0.00042105262 0.0 0.0 0.0 0.0 0.0 0.0010526315 0.0 0.0 0.00021052631 0.0 0.0 0.0 0.0 0.0 0.00021052631 0.0 0.0 0.0 0.00021052631 0.00021052631 0.0 0.00021052631 0.00063157897 0.0 0.0 0.0 0.00084210525 0.0 0.0 0.0 0.00063157897 0.0 0.00021052631 0.00042105262 0.0 0.00021052631 0.0 0.00042105262 0.002736842 0.0 0.00021052631 0.002105263 0.0 0.00021052631 0.0 0.00021052631 0.00021052631 0.0 0.00021052631 0.00021052631 0.0010526315 0.00042105262 0.0 0.0010526315 0.00042105262 0.0 0.0 0.0 0.0 0.0 0.00021052631 0.0 0.00021052631 0.00042105262 0.0 0.0 0.0 0.0 0.0 0.0 0.00084210525 0.0 0.0 0.0 0.00021052631 0.0 0.0 0.0 0.00063157897 0.0 0.0 0.00021052631 0.0 0.0 0.00021052631 0.00021052631 0.008210527 0.0 0.0010526315 0.0 0.0 0.0 0.00021052631 0.0 0.004210526 0.0014736842 0.00021052631 0.00021052631 0.0018947369 0.0 0.00063157897 0.03957895 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.55777997 0.008626302 0.0069986978 0.005533854 0.0053710938 0.0050455728 0.010904948 0.0063476562 0.0100911455 0.0013020834 0.00081380206 0.001953125 0.0060221353 0.0011393229 0.0017903646 0.036946613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.22135417 0.0017903646 0.0065104165 0.0056966147 0.0060221353 0.0029296875 0.019856771 0.009114583 0.01171875 0.0013020834 0.00016276042 0.0014648438 0.0034179688 0.00016276042 0.0011393229 0.040690105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 21.181818 233.0 0.094420604 0.0042918455 0.025751073 0.0 0.0 0.0 0.0042918455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06437768 0.0 0.025751073 0.030042918 0.021459227 0.012875536 0.017167382 0.012875536 0.0042918455 0.0 0.008583691 0.008583691 0.017167382 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008583691 0.008583691 0.021459227 0.0 0.0042918455 0.0 0.0 0.0 0.012875536 0.008583691 0.0042918455 0.017167382 0.0042918455 0.0042918455 0.0 0.012875536 0.008583691 0.017167382 0.0042918455 0.0042918455 0.008583691 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042918455 0.034334764 0.008583691 0.021459227 0.030042918 0.03862661 0.0 0.0042918455 0.017167382 0.034334764 0.0 0.0 0.030042918 0.03862661 0.03862661 0.030042918 0.012875536 0.0 0.03862661 0.034334764 0.025751073 0.021459227 0.0 0.0 0.025751073 0.008583691 0.0 0.0 0.0 0.0 0.0 0.0 5.2389235 0.0 0.0 0.0 1.0 4750.0 12288.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1027992300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 5.0 12.0 5.0 0.0 4.0 0.0 512.0 1536.0 4096.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0942106 0.0 3.2935803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -248.0 0.0 2320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 4220.0 2320.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 536.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05668207 0.008300418 0.006166025 0.005655469 0.005747638 0.0049647167 0.004195258 0.0054234923 0.0050548147 0.005633721 0.00374891 0.004472802 0.004951254 0.0031751818 0.0043226383 0.0046384996 0.005047566 0.0037706578 0.0049357195 0.0041579762 0.0043516355 0.0031793243 0.004110338 0.0038452218 0.005077598 0.0033460576 0.0031617188 0.0029338845 0.004150727 0.00343512 0.0037830852 0.0037903343 0.006166025 0.0038172603 0.003482758 0.0030250184 0.0048942952 0.0041704034 0.0038317589 0.0037209485 0.0047285976 0.0038938955 0.0033357015 0.0030995822 0.0043702764 0.0037323402 0.0037199128 0.0035873547 0.0055239466 0.0039394624 0.0031109739 0.002903852 0.0036753817 0.0030716208 0.002688445 0.0028758903 0.0041704034 0.0033118825 0.0035272893 0.003358485 0.004001599 0.0032228199 0.0035013992 0.0034547967 0.006591661 0.003946712 0.0036153162 0.0032269624 0.0041600475 0.0032290334 0.003543859 0.0030695496 0.0050019985 0.003772729 0.0037002363 0.0035873547 0.004128979 0.0031223656 0.0035666425 0.0034630815 0.0051625185 0.0036298148 0.0036577764 0.003334666 0.00393532 0.003371948 0.0033615916 0.0035355743 0.00464782 0.00364742 0.0038079398 0.0035086484 0.0041186227 0.0033895532 0.0036836665 0.0037955125 0.0059123 0.0036287792 0.0033388082 0.002956668 0.0040129907 0.0030488374 0.0032663154 0.0030301963 0.004982322 0.0031658614 0.003195894 0.003055051 0.003575963 0.0028303235 0.0030830125 0.0031927873 0.0045100837 0.0032922057 0.0032228199 0.0031420423 0.0038959668 0.003331559 0.0032932414 0.003626708 0.004619858 0.00329117 0.0034817224 0.0031782887 0.0040378454 0.0031948583 0.003467224 0.0033470932 0.008649419 0.004607431 0.0040057413 0.003528325 0.0043671695 0.0034268352 0.0030208759 0.0033895532 0.004542188 0.003836937 0.0029535613 0.0031896804 0.0037323402 0.0027961484 0.0028448221 0.0029835938 0.005240189 0.0032124638 0.0034920785 0.0030291607 0.0036598474 0.0031813954 0.0033015262 0.0032642444 0.004551508 0.002836537 0.0030374457 0.002709157 0.0035210757 0.0032217843 0.0029970568 0.0031544697 0.0050102836 0.0034030161 0.0032683867 0.0027951128 0.0037768716 0.0030115554 0.0030540153 0.0031876091 0.0041382997 0.0030032704 0.0031254725 0.003014662 0.003645349 0.0028375727 0.002914208 0.0030291607 0.0046633543 0.0031120095 0.0038410793 0.0028593205 0.0035666425 0.0031482559 0.002988772 0.0031202945 0.0042480743 0.0031420423 0.0033408795 0.0031731105 0.0036463847 0.0031865735 0.0033263809 0.0033512355 0.0067221476 0.0040627 0.0037271623 0.0033357015 0.004113445 0.0032528525 0.003304633 0.0032290334 0.004328852 0.0033305234 0.0031182233 0.0030964755 0.003650527 0.0029825582 0.0030757631 0.0027961484 0.004240825 0.0032683867 0.0030830125 0.0029918787 0.0037157706 0.003022947 0.0029359558 0.0029473475 0.0039808867 0.0031130451 0.0027309048 0.0026366643 0.0035303961 0.002941134 0.0035790699 0.002890389 0.0049543604 0.003233176 0.0033968023 0.0029825582 0.003813118 0.0030747275 0.0031927873 0.0029079942 0.004437591 0.0054524895 0.0034610103 0.0031368642 0.003799655 0.0030850838 0.0032424964 0.0031896804 0.0046115736 0.0033191317 0.0034154435 0.0030343388 0.0037375183 0.003081977 0.003312918 0.003246639 0.0043454217 0.0030343388 0.0031948583 0.0028686412 0.0040129907 0.0030881905 0.0042232196 0.004515262 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922384 0.062030397 0.06244396 0.05533145 0.060589943 0.0595589 0.054942276 0.054483056 0.060463853 0.053171806 0.052117925 0.052928444 0.056433067 0.050534256 0.05666657 0.053819906 4022.0 5.702884 22937.0 0.017177487 0.010463444 0.009417099 0.008588743 0.0134716835 0.012468937 0.011771373 0.01146619 0.012556132 0.00976588 0.008501547 0.008588743 0.013864063 0.010550639 0.011814971 0.010027466 0.016785108 0.011858569 0.008763134 0.0075423988 0.009809478 0.008501547 0.007803985 0.008370754 0.0102454545 0.00845795 0.009678685 0.00885033 0.011553385 0.008981123 0.009678685 0.009242708 0.018005842 0.010855823 0.0103326505 0.009111915 0.010943018 0.008893927 0.01072503 0.008327157 0.014256442 0.011596983 0.009722283 0.008937525 0.011422592 0.009329904 0.011684178 0.00959149 0.014779613 0.00959149 0.009983869 0.008981123 0.012076558 0.009329904 0.009547892 0.009809478 0.01373327 0.009242708 0.010550639 0.009547892 0.011117409 0.009853076 0.010376248 0.010681432 0.017918646 0.010986616 0.009678685 0.008196364 0.013079304 0.008239961 0.009373501 0.008327157 0.015433579 0.009286306 0.008981123 0.008806732 0.011335397 0.008021973 0.009896673 0.00789118 0.013166499 0.008021973 0.0087195365 0.008806732 0.011422592 0.009460697 0.008196364 0.00789118 0.01089942 0.008806732 0.011989363 0.008588743 0.011291799 0.00902472 0.009940271 0.008763134 6.5547085 0.0 0.0 0.0 14.0 965614.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.17780967 0.014195244 0.0061745453 0.00618945 0.011900555 0.004233686 0.0031422335 0.0023825641 0.010853196 0.0020253193 0.0018643184 0.0014482313 0.009396115 0.002372162 0.0015053657 0.0105624 0.0071466053 0.0013817817 0.0011487418 0.00080143334 0.00433926 0.0011062016 0.00089629495 0.000879372 0.003599153 0.0012052552 0.00072194205 0.0009972116 0.0034674956 0.00094069826 0.0006694654 0.0006724153 0.0053029363 0.0005592334 0.0009897593 0.0007185264 0.014197418 0.0015069182 0.00045924832 0.0005478997 0.0024761837 0.0005312873 0.0003955932 0.0020538864 0.0017492734 0.0008489418 0.0008261191 0.00037432308 0.0027540924 0.0007093663 0.00092858827 0.003597911 0.0017266059 0.0014266507 0.0006176098 0.00071868167 0.0024030579 0.0012018395 0.0011908163 0.00490548 0.0026124988 0.0011520021 0.0011180011 0.0024850334 0.006506018 0.0032742014 0.0015395221 0.0018633868 0.006159175 0.011562717 0.003607692 0.0018671129 0.0029599625 0.0012408089 0.0010327653 0.00094892684 0.003335683 0.004886073 0.0014249429 0.0010930047 0.009739076 0.0032124093 0.0012305619 0.002508477 0.002648363 0.0045224624 0.004038839 0.0027797099 0.0018208466 0.0013328758 0.0006294093 0.0019605772 0.0032839824 0.005175626 0.0048512956 0.0073284106 0.0049562487 0.0056496235 0.003803315 0.0042391196 0.0058179214 0.005881732 0.0023231008 0.0011471893 0.0072894413 0.0043509044 0.007197064 0.0011756012 0.0038700753 0.0018335776 0.0025618852 0.002688885 0.0030613448 0.0010558985 0.0030975195 0.0029113672 0.012365392 0.009314295 0.0013269761 0.0009330907 0.0036320672 0.0017604518 0.00057864044 0.0008138538 0.0028992572 0.0023005886 0.0025937126 0.0021945487 0.003517488 0.002142693 0.0007099873 0.014976805 0.005263035 0.009597172 0.0016634166 0.0011683041 0.0035527314 0.012054725 0.0026742907 0.036982995 0.0021731232 0.037145086 0.0025949548 0.0012844359 0.0031586906 0.000713403 0.000683749 0.00094116403 0.0015944828 0.00050209905 0.00042276306 0.00033659578 0.00108105 0.000524456 0.00030647605 0.0005253875 0.0017222587 0.00039792203 0.00050101225 0.00079258374 0.0017602966 0.002057302 0.0009621237 0.00077084784 0.001866492 0.0005966502 0.00034591116 0.00026160697 0.002287392 0.00025213632 0.00026781723 0.00035631334 0.003018339 0.0007045534 0.0002914162 0.0021593054 0.0022998124 0.00033038552 0.00033209336 0.00037867026 0.0012841254 0.00054758915 0.0011870902 0.0010605562 0.0026548838 0.001130111 0.0006045683 0.0005629596 0.0016578274 0.000719458 0.0011357003 0.00090141845 0.010204379 0.0054752706 0.003380552 0.0035976004 0.008124566 0.0004283523 0.0033147233 0.007759868 0.0029382266 0.0033220204 0.0015986747 0.0014516469 0.023868337 0.00049775187 0.0018033026 0.00135958 0.0021437798 0.0016006931 0.0029854246 0.0007823368 0.0018343539 0.00038084385 0.0006700864 0.0006290988 0.0052874107 0.011684438 0.00054758915 0.0017567257 0.0020079305 0.0023555495 0.0028332733 0.0011922136 0.003334596 0.0008587229 0.0006683786 0.0004454305 0.0022259103 0.0017113908 0.0005224376 0.00048424458 0.015007235 0.0033825703 0.0006828175 0.0041282666 0.0059484923 0.0006644972 0.0010318338 0.0006738126 0.004552893 0.0012179861 0.0009588633 0.0011987344 0.0023041596 0.0005233692 0.0031771662 0.001690897 0.004770562 0.0018888488 0.0012793124 0.001001714 0.004221265 0.0012165888 0.002682364 0.03617318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015015677 4.8137126e-06 2.096294e-06 1.3198888e-06 6.211242e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00014363497 0.0 7.764052e-08 5.512477e-06 3.4938234e-06 1.3198888e-06 1.3198888e-06 0.0 2.1739347e-06 2.3292156e-07 0.0 0.0 0.0 0.0 0.0 1.2422483e-06 0.0008269492 1.5528104e-07 8.5404577e-07 4.619611e-05 3.4472392e-05 1.2267203e-05 1.2111922e-05 1.5528104e-07 1.29659675e-05 1.3975294e-06 0.0 0.0 0.0 0.0 0.0 6.521804e-06 0.0019032022 5.310612e-05 1.6847993e-05 4.200352e-05 3.858734e-05 2.9037556e-05 4.5186785e-05 2.8882274e-05 4.301285e-05 1.4130575e-05 4.3478694e-06 7.3758497e-06 1.4441137e-05 6.2112417e-06 4.037307e-06 0.00013470631 0.0024959876 8.183311e-05 5.1087463e-05 5.062162e-05 2.6941261e-05 2.818351e-05 2.965868e-05 1.1335516e-05 9.076177e-05 4.743836e-05 2.1661706e-05 6.4441633e-06 3.5171157e-05 1.770204e-05 2.2593393e-05 0.0004807501 0.0064284024 0.0002666952 0.00021832515 9.813762e-05 0.00024464529 0.00016040533 0.00015714442 9.052885e-05 0.0002785742 0.00029324825 6.917771e-05 3.2919583e-05 6.87895e-05 6.7547255e-05 6.5839165e-05 0.000682072 0.015214825 0.000588981 0.0007473677 0.00029674207 0.00034138537 0.00042057873 0.0014573903 0.001023535 0.0010312991 0.0008441854 0.00024355832 0.0002040393 0.00065730466 0.00020993997 0.00017111971 0.0018299872 0.0065279375 0.00014852632 0.0010604142 0.00040054746 0.00051180634 0.0007389825 0.004319065 0.0024640772 0.00026087216 0.00033323313 0.00021886863 0.00010621224 0.00070078333 0.00010520291 8.160019e-05 0.00078479043 0.0048385574 0.00013742373 0.0014538964 0.0006013258 0.0015679504 0.001158319 0.0065158256 0.0037459224 0.00031390064 0.00015590218 0.00010830853 0.00013843305 0.00034348166 8.2687155e-05 0.00016234633 0.0003007794 0.025663454 0.00118099 0.0019818519 0.0021354249 0.0043849815 0.0056871683 0.017491711 0.0045881667 0.012070695 0.0008830833 0.00056910503 0.00086243096 0.0013601843 0.00086491543 0.001152263 0.0008535799 0.02572875 0.001345355 0.0014505578 0.0015240834 0.0019309975 0.0040860656 0.012829475 0.002974719 0.015798604 0.001410573 0.0010599485 0.0009764072 0.0032591939 0.0018031235 0.0015118163 0.0013372027 0.02731448 0.0029400138 0.0025643113 0.0021454406 0.0062103104 0.0059679165 0.0030324836 0.0039949156 0.013223345 0.0012828544 0.0016502494 0.0016637588 0.0146885775 0.004999817 0.004648416 0.007823214 0.10336353 0.014960474 0.013448736 0.013336313 0.025125483 0.02592316 0.011672011 0.020294534 0.06427711 0.0056342175 0.008522911 0.0076216594 0.040840935 0.018844597 0.021979567 0.03633794 0.044857822 0.007890995 0.010234884 0.008276713 0.012156798 0.012487391 0.0068697887 0.011349492 0.02980348 0.002952669 0.0051767593 0.0047642556 0.016459247 0.011247395 0.011377675 0.017801108 0.0005812946 0.00037803172 0.00030039117 0.0005866518 0.0007016374 0.00035838864 0.00034262764 0.00026886913 0.0003155311 0.00035279852 0.0003142112 0.000403886 0.0007087027 0.00044829637 0.0005994625 0.0004945701 14375.0 23.2976 334903.0 0.044421818 0.0005494128 0.00056135654 0.0006449629 0.012003476 0.008584575 0.000489694 0.0027440782 0.0016243509 0.0010928537 0.0005165675 0.0014869977 0.0014004055 0.0036965928 0.007217015 0.0004120596 0.0040519196 0.004311696 0.0025649217 0.004678967 0.0020214808 0.00058823003 0.0007046817 0.00037025646 0.0033203645 0.0019886356 0.0038130444 0.0026216547 0.0016362946 0.0014810258 0.0027530359 0.012818637 0.050127946 0.0106627885 0.0035711832 0.004523698 0.009101143 0.0076917796 0.004717784 0.0034129284 0.003284533 0.0047237556 0.00050462375 0.0008957818 0.0044878665 0.003917552 0.0039205384 0.003039686 0.00875776 0.0018393386 0.003487577 0.008921986 0.0047954186 0.011764601 0.005792722 0.0027261626 0.003487577 0.0013347148 0.0026724157 0.005512044 0.0018632261 0.0054971143 0.0010510506 0.03268409 0.0005762863 0.05420077 0.017252756 0.025523808 0.030187845 0.074735075 0.010994229 0.008972747 0.012275196 0.045813266 0.0015825478 0.0038429038 0.04347229 0.021967554 0.03730334 0.036503106 0.02212581 0.0011555585 0.03647325 0.03889783 0.060136817 0.02508189 0.008268066 0.0042698933 0.007960514 0.006975154 0.0011734741 0.00034636894 0.0011495866 0.0007046817 0.0012690242 0.00086592237 5.479748 0.0 2.0 0.0 5.0 6440960.0 7360512.0 0.0 0.0 208.0 0.0 1.0 0.0 0.0 0.0 1447344600.0 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 2.0 5.0 11.0 0.0 5.0 1.0 5.0 1.0 4820992.0 1024.0 8388608.0 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 630784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -969728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4820992.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.541473 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7108946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6550198 0.0 5.2814813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 630338.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1880852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4820903.0 0.0 17984.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 5450532.0 17984.0 7340032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5273008.0 0.0 0.0 868.0 4825088.0 64.0 5450348.0 0.0 0.0


Input: 0.12054325 0.016228247 0.0151383905 0.008116352 0.00515732 0.0034344986 0.0041632988 0.0036633166 0.0032428263 0.003071213 0.0048244935 0.003167792 0.0029152005 0.0033743226 0.0031989943 0.0035229055 0.0028178787 0.003210138 0.0031336178 0.0032138526 0.0028535386 0.0030422392 0.004161813 0.0031819073 0.002938974 0.0028639394 0.002892913 0.003061555 0.0031648204 0.0031462475 0.0031180165 0.0034545574 0.003438956 0.0027123848 0.0027302147 0.0029768627 0.0026990122 0.0029352594 0.0029100003 0.0030935004 0.0031960227 0.0027955913 0.002894399 0.0032829437 0.0030318385 0.0031618485 0.0033089458 0.0031692777 0.0031507048 0.003044468 0.0028431378 0.0030942434 0.0029241156 0.0029352594 0.0029404599 0.0031551623 0.0029716622 0.0031351037 0.0030392676 0.0030868142 0.003272543 0.0031544194 0.0033594642 0.004149183 0.0027465587 0.0028847412 0.0027220426 0.0031172738 0.002779247 0.0028669112 0.0029545752 0.003008808 0.0028119355 0.0027770184 0.0031440186 0.0029456601 0.0029456601 0.0034798165 0.0030504114 0.0032324255 0.0026180344 0.0028602248 0.002675239 0.0031247027 0.0030756705 0.0028030204 0.0028802836 0.003097958 0.0028201074 0.002965719 0.002919658 0.002966462 0.003008065 0.0029553182 0.0031804214 0.003661088 0.0027339293 0.0037175494 0.0030481825 0.003590511 0.0032138526 0.004757631 0.0029092573 0.0034032962 0.0032963164 0.0039017925 0.0027064413 0.0031165308 0.0037145778 0.0033572353 0.0037093775 0.005348249 0.0035377638 0.0032235107 0.004054833 0.0044664084 0.0048527243 0.0033995816 0.0031722495 0.0032747719 0.003361693 0.0034894743 0.0032621422 0.004391374 0.0033824944 0.003607598 0.0035110188 0.0035600513 0.0031833933 0.003114302 0.002852053 0.0030229234 0.002867654 0.0034114684 0.0028431378 0.0030013788 0.002735415 0.0028869698 0.0026158057 0.0029233727 0.0029798343 0.0028891987 0.0031076157 0.0032004802 0.0027829616 0.002825308 0.0028646823 0.0029144578 0.003114302 0.0029174294 0.002947146 0.0031321319 0.0029352594 0.002868397 0.0029582898 0.0029991502 0.002947146 0.0030466968 0.0031618485 0.0034790735 0.0027049556 0.0028706258 0.002753988 0.002912229 0.002781476 0.0029107432 0.0029248586 0.0031700206 0.0026990122 0.002825308 0.0027138705 0.002956061 0.002920401 0.0030199517 0.0029040568 0.0032131097 0.0028297654 0.0029285732 0.0027822189 0.003069727 0.0030823566 0.002965719 0.0030853283 0.0032331685 0.0032272253 0.0030808707 0.0028624537 0.00314179 0.0030882999 0.0031700206 0.0034211262 0.003519191 0.002990235 0.0028550245 0.0029946927 0.003053383 0.0027502733 0.0029315448 0.003168535 0.0032703143 0.0028022774 0.0029679476 0.0029716622 0.0038468167 0.002892913 0.0030689843 0.002956061 0.0034211262 0.0030489254 0.0029040568 0.0029724052 0.0030868142 0.0028312511 0.0028884558 0.0030244093 0.0032353972 0.0029263443 0.0029404599 0.0031692777 0.0031313892 0.0031960227 0.003158134 0.00341444 0.0036967478 0.0031388183 0.0030942434 0.0029939497 0.0034077538 0.00305264 0.0031462475 0.0031544194 0.0034411848 0.0031351037 0.003300031 0.0031195024 0.0033408913 0.0031908224 0.0035169623 0.0031157879 0.0045013255 0.0032606565 0.003344606 0.0036209705 0.0037814402 0.0034203832 0.003395124 0.003518448 0.003746523 0.0037316647 0.003678918 0.0036061122 0.0037346366 0.0036729744 0.0043757726 0.0045013255 0.039333664 0.001486413 2.231293e-06 2.603175e-06 7.437643e-07 1.4875286e-06 2.231293e-06 0.0 1.4875286e-06 7.437643e-07 7.437643e-07 1.4875286e-06 1.4875286e-06 1.4875286e-06 1.4875286e-06 2.231293e-06 1.6362814e-05 0.016049318 5.5782322e-05 4.2766445e-05 3.1609983e-05 3.1609983e-05 2.417234e-05 3.0122454e-05 1.6362814e-05 6.6938787e-06 1.7106579e-05 2.1197282e-05 3.0866217e-05 3.2725628e-05 3.8675742e-05 3.9047623e-05 0.0002874649 0.0078080376 7.102949e-05 5.392291e-05 4.722903e-05 2.5287985e-05 2.5659867e-05 2.4916104e-05 1.4503404e-05 2.2312928e-05 2.4916104e-05 2.1197282e-05 1.9709754e-05 3.793198e-05 2.5287985e-05 3.4213157e-05 0.00012160546 0.024654299 0.00026366443 0.00017961908 0.00014243086 0.00012309299 0.000120489814 0.0001312744 0.00011007711 0.00019337871 0.000105242645 0.00011825852 0.00012234923 0.000114167815 0.00017106578 0.00020118823 0.001429143 0.023403287 0.00021048529 0.0002394921 0.00014763721 0.0001584218 0.00015953743 0.00016995014 0.0001997007 0.00018482542 0.00015693426 0.00017664401 0.00020713835 0.00015358733 0.0002435828 0.00022461682 0.001382286 0.0030914561 3.3469394e-05 2.5287985e-05 2.6775515e-05 2.417234e-05 3.681633e-05 1.896599e-05 3.681633e-05 0.000110820874 2.4916104e-05 1.9709754e-05 1.227211e-05 2.417234e-05 6.3219964e-06 1.6362814e-05 0.0010613516 0.0077667586 0.00014429027 8.925171e-05 0.00017775966 0.00018222225 2.1197282e-05 0.0002331701 0.00030717466 0.00020118823 3.3841276e-05 5.8013615e-05 6.5451255e-05 0.00013387758 2.6403632e-05 0.0002313107 0.0040371525 0.012190669 0.0003369252 0.00054443546 0.00022015422 0.0011848165 0.000709923 0.0057764454 0.003391565 0.0002562268 0.00011379593 7.660772e-05 0.00013648074 0.00019486624 0.000108217704 0.00028448983 0.004177352 0.033248123 0.0022350117 0.0018757735 0.0012625399 0.00090887997 0.0005938958 0.0021409255 0.0024763632 0.0011431657 0.00048419053 0.00045853067 0.00062624953 0.00094495254 0.00077983685 0.0014306306 0.018697862 0.012766714 0.0013551385 0.0008337598 0.00066120643 0.0006463312 0.00043584587 0.0017121454 0.0016373971 0.0006336872 0.00039047626 0.00025548303 0.00030903405 0.0003168436 0.00041130165 0.0004708028 0.00458196 0.010686405 0.00095871213 0.0008054967 0.0007062042 0.0006061679 0.00041911117 0.0005541044 0.0007653334 0.0005128255 0.0007300046 0.00029639006 0.00047340596 0.0004920001 0.00037746038 0.00065339694 0.0045730346 0.0030278645 0.00037634472 0.0002792835 0.0005035284 0.00028597735 0.00024023587 0.00046373703 0.00033878462 0.00019486624 0.00020081636 0.0001000363 0.00016809073 0.00015767803 0.00010933335 0.00017999095 0.0009895784 0.002268853 0.00035291616 0.0003875012 0.0003748572 0.00016771884 0.00020490706 0.00027965536 0.00031609982 0.0001688345 0.00018482542 0.00013424945 0.00015507486 0.00022238553 0.00012978687 0.00016511566 0.00058013614 0.0019951477 0.00028225855 0.00026106127 0.00014652156 0.0002748209 0.00029601817 0.00025325172 0.0002331701 0.00023205446 0.0002458141 0.0002435828 0.00018036284 0.00025102045 0.00014094333 0.0001539592 0.0009029298 0.0004562994 9.817688e-05 8.441725e-05 2.7519278e-05 9.743312e-05 5.8013615e-05 6.917008e-05 8.1070306e-05 4.9832208e-05 5.4294793e-05 5.6526085e-05 5.355103e-05 9.557371e-05 3.681633e-05 3.793198e-05 0.0001666032 0.042260315 0.043515418 0.04262662 0.045806956 0.042792477 0.044311617 0.04464073 0.048620615 0.043776106 0.04517996 0.044294138 0.046978757 0.045820713 0.047073957 0.04858231 0.051822893 5402.0 7.778045 42017.0 0.008329961 0.0055453745 0.00647357 0.0055929744 0.0059499727 0.0056881737 0.0056405743 0.0057357736 0.0053073755 0.0056643737 0.0056643737 0.005854773 0.00649737 0.007782564 0.0118285455 0.0066163694 0.008972559 0.008401361 0.0074731656 0.0077349646 0.007853963 0.007901563 0.006735369 0.0070209675 0.0066163694 0.007949163 0.006378371 0.00652117 0.0092819575 0.0069971676 0.009448556 0.006687769 0.0053311754 0.009638956 0.007925363 0.012161744 0.010162553 0.008615561 0.009876954 0.008377561 0.0061641717 0.00873456 0.00644977 0.006378371 0.008544161 0.010210153 0.007925363 0.008353761 0.0072589666 0.006687769 0.008139563 0.012352143 0.009638956 0.006378371 0.0073065665 0.00656877 0.006306971 0.006259371 0.0068067685 0.0055453745 0.005854773 0.006687769 0.0070209675 0.01973011 0.0056405743 0.026655877 0.011995145 0.018183116 0.016850322 0.052026562 0.008377561 0.013970536 0.0118285455 0.02613228 0.005188376 0.009638956 0.025918081 0.01513673 0.023609491 0.03027346 0.012256944 0.0061641717 0.02575148 0.027964871 0.039817218 0.015517528 0.008853559 0.009067758 0.009210558 0.012399743 0.008044363 0.0066401693 0.006306971 0.0070923674 0.0068067685 0.0071399673 6.314847 0.0 0.0 0.0 10.0 1346048.0 1368064.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3209265000.0 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 48.0 0.0 4.0 0.0 4.0 0.0 1250304.0 512.0 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 -1250304.0 0.0 94720.0 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 -7.6125183 0.0 3.6744535 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 -1250228.0 0.0 94320.0 0.0 0.0 0.0 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 83.0 1258328.0 94320.0 1261568.0 0.0 0.0 0.0 0.0 12.0 1359872.0 56.0 1258176.0 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: 0.2178357 0.015110176 0.0064875837 0.0077855587 0.010422215 0.0032483782 0.0035677124 0.0026286293 0.009815652 0.0018827523 0.0033905592 0.0015880705 0.005894207 0.0018145283 0.0012354845 0.005722787 0.007356149 0.0032506716 0.0013512933 0.0019956944 0.005107625 0.004534314 0.0016127229 0.0009247501 0.0035442065 0.0011156625 0.0007235181 0.001400598 0.0029261776 0.00074759714 0.000732691 0.00086397916 0.0081668105 0.0007642231 0.0014556358 0.00091443054 0.015610676 0.0016024034 0.0007315444 0.0007258113 0.00228063 0.0008376069 0.0008106613 0.0015186999 0.0021992198 0.001077824 0.0015410591 0.0010055869 0.00395527 0.0012119787 0.0011529278 0.0064938897 0.002035253 0.0014573557 0.0010170531 0.0012165653 0.002074238 0.0023092953 0.0010439988 0.003838315 0.0021476217 0.0014848746 0.0008611126 0.0015737378 0.005877581 0.0027581977 0.001653428 0.003913419 0.026446247 0.006715761 0.0045927917 0.0035367536 0.0064950367 0.003838315 0.002579898 0.00068969274 0.0049258852 0.00345993 0.0022617106 0.0013891318 0.009206222 0.0032713106 0.0028109422 0.0042528184 0.0030953044 0.0031881807 0.005722214 0.0050371075 0.0018162482 0.003864114 0.0007000123 0.0019412299 0.0018603931 0.0024337037 0.004124397 0.0037511718 0.0012394977 0.0038910594 0.0012372044 0.0026641747 0.0047452925 0.0072558196 0.0050428407 0.0018959384 0.004912126 0.0038509278 0.004763638 0.0009367896 0.0066045388 0.0016425351 0.0041897544 0.0043468415 0.0029204446 0.0005801904 0.0049700304 0.0037282393 0.012164506 0.009445293 0.0024279708 0.0025254334 0.001989388 0.001424677 0.0006747866 0.0006541475 0.0022370582 0.0018661262 0.0015536719 0.0011672606 0.004882314 0.0013369605 0.0007057454 0.012345672 0.0031228233 0.006884888 0.001037119 0.0006340816 0.003550513 0.010070202 0.0014992073 0.029381026 0.0015926571 0.009863237 0.00076479645 0.0010927301 0.0011609541 0.0004408759 0.00052859244 0.00087945856 0.00094882917 0.0006822397 0.0005262992 0.0004901806 0.0009981339 0.0019607225 0.0006455478 0.00049190054 0.0009924008 0.00057331065 0.00048444752 0.00057331065 0.0014143575 0.0021694077 0.0012893757 0.0023494272 0.00089551124 0.00058305694 0.0005956698 0.00062548195 0.0011311419 0.000599683 0.00075906335 0.00060598936 0.0011982193 0.00043972928 0.0004987803 0.0004569286 0.0010594781 0.000496487 0.0005062333 0.0005429252 0.0008748721 0.0006873995 0.0013610396 0.0008668457 0.0022880828 0.0006558674 0.0005119664 0.0010273727 0.001162674 0.0007831424 0.00073842413 0.00068969274 0.007009296 0.0023838258 0.0020564653 0.004339962 0.0053874003 0.0009041109 0.00572508 0.0036640286 0.0021717008 0.001815675 0.0010405589 0.000765943 0.02966424 0.000717785 0.0015152601 0.0009327765 0.0015989634 0.0016603078 0.0012974021 0.0014235304 0.0010348258 0.00096430857 0.00093220314 0.00084104674 0.0019309103 0.0008227008 0.00094194943 0.0011896197 0.0009075508 0.00072753127 0.0006266286 0.0005331789 0.001897085 0.00068395963 0.0014183706 0.0005910833 0.0012010859 0.0005973897 0.00068911945 0.0006724934 0.012126667 0.002557539 0.0009998538 0.005198781 0.0031102104 0.0006616005 0.0007407174 0.00088289846 0.0028728598 0.0011775801 0.0007217981 0.0015381925 0.0017835695 0.0010921569 0.0024732621 0.0030345335 0.0037643579 0.0013249209 0.0011512078 0.0014332767 0.0036250434 0.0016299222 0.0031675415 0.057157353 0.01990449 1.7213206e-05 2.5819807e-06 1.7213205e-06 1.0327923e-05 7.745943e-06 7.745943e-06 1.7213205e-06 8.606603e-06 1.7213205e-06 2.8688675e-07 2.8688676e-06 1.4344338e-06 5.737735e-07 1.4344338e-06 6.0246216e-06 0.0050374446 8.032829e-06 2.3237826e-05 9.75415e-06 3.2131316e-05 1.4057451e-05 5.1065843e-05 2.5819807e-05 1.0041036e-05 7.4590557e-06 8.319716e-06 1.2049243e-05 1.061481e-05 1.3196791e-05 4.590188e-06 2.0082072e-05 0.0059695393 2.38116e-05 4.676254e-05 2.9549336e-05 5.7664238e-05 3.3852637e-05 8.606602e-05 5.737735e-05 3.0123108e-05 2.0655845e-05 1.7213206e-05 1.6639431e-05 1.6352546e-05 1.147547e-05 1.8360752e-05 2.7541128e-05 0.007757131 0.00010069725 9.553329e-05 5.5942917e-05 0.00010844319 9.553329e-05 0.0001669681 0.0001104514 8.8934896e-05 2.7254242e-05 3.0123108e-05 3.5000183e-05 2.7828015e-05 4.0164145e-05 3.098377e-05 4.2172353e-05 0.003470469 9.782838e-05 7.4303665e-05 3.9303486e-05 0.00045155975 0.00015118932 8.118895e-05 6.942659e-05 5.393471e-05 2.4098486e-05 2.5819807e-05 1.6352546e-05 1.9221412e-05 1.2049243e-05 2.5819807e-05 8.7787346e-05 0.0042447764 9.467263e-05 7.057414e-05 8.577914e-05 0.007258235 0.00018877148 0.001091891 0.00015950903 6.913971e-05 1.6639431e-05 1.9221412e-05 1.29099035e-05 0.0044800234 1.4344338e-05 0.0006859462 0.00030897703 0.00799123 0.00025475543 0.00031700986 0.00029922288 0.009005662 0.00012995969 0.00401957 0.00050807645 0.00013225479 5.5942917e-05 4.0164145e-05 4.76232e-05 0.008374224 4.618877e-05 6.3401974e-05 0.00044209248 0.02915257 0.0011575881 0.0019646005 0.0006242656 0.006844831 0.00063602795 0.0066732727 0.0037160441 0.00063717546 0.0005688964 0.00023467337 0.00050377316 0.003968791 0.00019020592 0.0002358209 0.0022334133 0.02206073 0.0010921778 0.0016900499 0.0008170535 0.0018673459 0.0014066057 0.005970974 0.0034159606 0.0009013982 0.00050406 0.0004070923 0.00025905872 0.0005872572 0.00019020592 0.00095475913 0.003703708 0.020571789 0.00067791337 0.0017703781 0.0013225479 0.0035880925 0.0019304609 0.0068637654 0.00430617 0.0011131206 0.00043578097 0.00034196902 0.00036233797 0.0013632858 0.00029119005 0.0004478302 0.0033795258 0.018621532 0.0018509934 0.0022641101 0.0020024695 0.00384543 0.0021192324 0.006923151 0.0044576465 0.0010815631 0.0007857828 0.0006016015 0.00051696994 0.0020693142 0.00044869087 0.00059815886 0.004104776 0.013450398 0.001246236 0.0018220177 0.0037226425 0.0026298908 0.0023943568 0.0049565425 0.002893253 0.0011188583 0.0008597996 0.0008032829 0.0006681592 0.0011389405 0.0008589389 0.00097598875 0.0039389553 0.016315823 0.0030774341 0.0020257074 0.0018911575 0.003576904 0.0028585396 0.0034710427 0.0024273489 0.0046751066 0.001084145 0.0015144752 0.001342343 0.0026557106 0.002272143 0.002340709 0.0060507283 0.07259009 0.015592008 0.016603284 0.010955344 0.021858763 0.024042545 0.009053859 0.013203676 0.045563642 0.003779446 0.00611327 0.0059371213 0.027263422 0.006963889 0.014162451 0.03416678 0.050392233 0.012571378 0.012139326 0.011549774 0.019696783 0.020749658 0.009306319 0.014650445 0.033012632 0.003961619 0.0052279374 0.004284367 0.017916651 0.0058269566 0.013304086 0.02921712 0.0007814795 0.00032532957 0.00032188694 0.00044324002 0.00033910014 0.00032848533 0.00047938776 0.00032819845 0.00030438683 0.0002361078 0.00022377167 0.00022807496 0.00023897666 0.00025274724 0.00018963215 0.00026709156 9726.0 17.95219 174603.0 0.033653487 0.0010480919 0.0021534567 0.00086481904 0.008590918 0.0032130033 0.00073309167 0.0014661833 0.0028006393 0.0019701838 0.0012542739 0.0010480919 0.0032874579 0.0027605481 0.0062198243 0.0022565478 0.006729552 0.0042496407 0.003516549 0.004730732 0.0027204573 0.0016551835 0.001993093 0.0039575496 0.0026460027 0.0030068213 0.0025658207 0.0037742765 0.003802913 0.0028235484 0.0014776378 0.006357279 0.010194556 0.011082284 0.0028464573 0.008401917 0.20580976 0.009478645 0.008671099 0.006907098 0.003270276 0.013453377 0.0008247281 0.0016208198 0.008596645 0.0043699136 0.0068154614 0.0038888222 0.013224286 0.004003368 0.009919646 0.011036466 0.0068154614 0.0050514597 0.007674553 0.009283918 0.0054466417 0.0034707307 0.0013860014 0.0027204573 0.0018384564 0.002898003 0.009604646 0.014616014 0.0010824556 0.026941119 0.006500461 0.016425835 0.021792294 0.04918014 0.026986936 0.011168193 0.008608099 0.02466166 0.0034020033 0.002691821 0.043888133 0.009358373 0.024180569 0.026505845 0.01001701 0.0014432742 0.031047577 0.02388275 0.038710676 0.011053648 0.009146464 0.009432828 0.0041923677 0.0057043694 0.0014890924 0.0010251829 0.0014547288 0.0008705463 0.00069872796 0.0019071837 5.372045 3.0 56.0 5.0 18.0 1744255.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.185378 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.29337636 0.026953125 0.033559784 0.010071332 0.03792459 0.006097147 0.017934782 0.0073029893 0.008101223 0.0041610054 0.03203125 0.0039572013 0.0050441576 0.0021059783 0.002734375 0.0009850543 0.0015455163 0.014266305 0.00579144 0.005689538 0.003294837 0.0020550273 0.008169157 0.004398777 0.0044497284 0.0021399457 0.0014945652 0.002734375 0.001171875 0.0024796196 0.0021059783 0.0014096467 0.00579144 0.0017153532 0.008474864 0.0010190217 0.0014945652 0.0012737772 0.0016644022 0.0006963315 0.015353261 0.0007642663 0.0036345108 0.00047554346 0.00078125 0.0011379076 0.0019021739 0.0008831522 0.0035665762 0.0011888586 0.0018002717 0.0011548913 0.0011888586 0.0006963315 0.0012058424 0.0006963315 0.003855299 0.003515625 0.0016474185 0.0005944293 0.0017323369 0.0014436141 0.00091711956 0.004925272 0.0028023098 0.002785326 0.0018172554 0.0036175272 0.0019191576 0.0016813859 0.0015625 0.0010699729 0.001002038 0.0021059783 0.00042459238 0.00062839675 0.0014266304 0.0031419836 0.0011209239 0.0012907608 0.0016813859 0.0006963315 0.0016474185 0.004738451 0.002683424 0.0012737772 0.0027004075 0.0013077445 0.0024116847 0.0019701086 0.004857337 0.0029381793 0.0016474185 0.0010699729 0.0009850543 0.0030061142 0.0004415761 0.013179348 0.0030570652 0.0062160324 0.006759511 0.023980979 0.0038722826 0.0048233694 0.005366848 0.011650816 0.001002038 0.007150136 0.0098675275 0.004347826 0.011514946 0.025407609 0.0074388585 0.0014096467 0.017663043 0.012924592 0.016644021 0.0058763586 0.0020380435 0.001341712 0.0024116847 0.003787364 0.0008831522 0.021433424 0.0012567935 0.0063349186 0.0016304348 0.0005944293 0.006861413 0.0013586957 0.0007642663 0.00061141304 0.0006453804 0.00045855978 0.0017323369 0.00050951086 0.00054347824 0.00054347824 0.00054347824 0.00049252715 0.0006623641 0.0007302989 0.00050951086 0.0008152174 0.0004415761 0.000390625 0.00013586956 0.00045855978 0.00025475543 0.00033967392 0.0008152174 0.0011379076 0.00061141304 0.00042459238 0.00078125 0.00042459238 0.00056046195 0.00045855978 0.00050951086 0.00023777173 0.00062839675 0.00062839675 0.0004415761 0.00049252715 0.00020380435 0.000118885866 0.000118885866 0.00084918475 0.00028872283 0.0003226902 0.00018682065 0.00025475543 0.00022078805 0.00018682065 0.00023777173 0.00023777173 0.00027173912 0.0003226902 0.00018682065 0.00020380435 0.00010190217 0.00027173912 0.00015285326 0.0004415761 0.00022078805 0.00030570652 6.793478e-05 0.00022078805 0.00033967392 8.491848e-05 8.491848e-05 6.793478e-05 0.00049252715 0.00022078805 0.00020380435 0.00033967392 0.00025475543 0.00015285326 0.0023947011 0.00010190217 0.00023777173 0.00022078805 0.000118885866 0.00018682065 0.0023607337 0.0013756794 0.00018682065 8.491848e-05 0.0011209239 0.0003566576 8.491848e-05 0.00030570652 0.00016983696 0.00020380435 0.00030570652 0.00025475543 0.0003566576 0.0003226902 0.00013586956 0.00023777173 0.00025475543 8.491848e-05 0.00057744567 0.000118885866 0.0006453804 0.0005944293 0.0003566576 0.0003566576 0.0005264946 0.0008152174 0.00015285326 0.00016983696 0.00025475543 0.00027173912 0.00018682065 0.00013586956 0.00020380435 0.00020380435 0.00025475543 0.00022078805 0.0011379076 0.00042459238 0.00042459238 0.00023777173 0.000390625 8.491848e-05 0.00013586956 0.00015285326 0.00022078805 0.00018682065 0.00028872283 0.00018682065 0.00022078805 0.00023777173 0.0011039402 0.0018172554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.080348425 0.0067225867 0.0073678154 0.007917131 0.013776506 0.009033203 0.07721819 0.045889717 0.00034877233 0.00016566685 0.00013950893 8.719308e-05 0.00023542132 0.00016566685 8.719308e-05 0.0004970006 0.17713274 0.0168893 0.013654436 0.00831822 0.0056413924 0.013924735 0.03665597 0.034964424 0.0035226005 0.001273019 0.0011945452 0.00057547435 0.001159668 0.002319336 0.0019967216 0.002205985 0.13180105 0.021998813 0.013218471 0.0075160437 0.0035138812 0.0078125 0.011727469 0.014604841 0.00718471 0.0030953544 0.0015781948 0.001473563 0.0025547573 0.00095040456 0.001273019 0.001839774 0.080104284 0.014787947 0.010777065 0.005606515 0.004525321 0.0042027063 0.012032645 0.007847377 0.0054146904 0.0030343193 0.002232143 0.00096784317 0.0045514787 0.0010027204 0.0016217913 0.0020054409 0.017560687 0.004080636 0.0018572126 0.0013950893 0.0007760184 0.0014038086 0.0013602121 0.0018484934 0.0016741072 0.00057547435 0.00038364955 0.00027901787 0.0006452288 0.00055803574 0.00047084264 0.00084577285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 751.0 13.656458 10256.0 0.0065327613 9.75039e-05 0.0003900156 0.0004875195 0.0007800312 0.0 9.75039e-05 0.0002925117 0.0014625585 0.0006825273 0.0 0.0 0.0010725429 0.0001950078 0.0027301093 0.0020475818 0.0016575663 0.0014625585 0.0017550702 0.0017550702 0.0010725429 0.0003900156 0.0008775351 0.0002925117 0.0001950078 0.0 0.0 0.0 0.0001950078 0.0005850234 0.0001950078 0.0001950078 0.0 0.010432918 0.006630265 0.015698127 0.0074102962 0.006045242 0.0073127924 0.0041926675 0.0027301093 0.007702808 0.0007800312 0.0003900156 0.002925117 0.011212949 0.0023400935 0.004582683 0.0062402496 0.000975039 0.00575273 0.015405616 0.0105304215 0.0021450857 0.0026326054 0.0018525741 0.0013650546 0.0005850234 0.0013650546 0.0 0.0 0.0 0.0 0.0088728545 0.0003900156 0.06464509 0.008677847 0.02398596 0.031201247 0.12070983 0.016380655 0.02125585 0.023595944 0.050312012 0.0015600624 0.0047776913 0.04806942 0.02047582 0.051872075 0.062890016 0.020573324 0.0012675507 0.07215288 0.039391577 0.07946568 0.027203588 0.0088728545 0.0041926675 0.008190327 0.009652887 0.0017550702 0.0 0.0 9.75039e-05 0.0 0.0007800312 4.9371443 0.0 0.0 0.0 1.0 58880.0 81920.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1540967700.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 57856.0 512.0 4096.0 2.0 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 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5720487 0.0 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 -57588.0 0.0 0.0 0.0 0.0 0.0 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 8216.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 73728.0 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 8208.0 0.0 0.0 72.0 8292.0


Input: 0.20359915 0.012527327 0.005549483 0.0052277027 0.009991772 0.004649849 0.0033160571 0.0028702316 0.012548205 0.0019312962 0.0020356907 0.0019312962 0.007790892 0.0015696003 0.0016678539 0.0056778267 0.008083196 0.001842868 0.000986834 0.0015002087 0.0046320404 0.0028610204 0.00080997765 0.0011808848 0.0036396796 0.0016132004 0.0006834762 0.0010949129 0.0027486428 0.0007596227 0.0006343494 0.0007393579 0.0051048854 0.00093402277 0.002140085 0.001233696 0.014680307 0.0009954312 0.00089840585 0.0006202255 0.0019128737 0.0005913635 0.0005391663 0.0021707893 0.0015069637 0.0009309523 0.0009549016 0.0005796959 0.0041886712 0.002350716 0.002285623 0.008400064 0.003060598 0.002082975 0.0021646484 0.0020406032 0.0037410036 0.0038619784 0.0021971948 0.005550711 0.0034259781 0.0023967724 0.0019497188 0.0019779666 0.0036660854 0.0031164796 0.0021775442 0.002386947 0.0059388126 0.014898308 0.0038226768 0.0021001694 0.0026061751 0.001414237 0.0016555722 0.00083822553 0.0035377417 0.0075839455 0.0038675051 0.0038828573 0.016678538 0.004724767 0.0034652797 0.0053965757 0.00612181 0.0031299894 0.004825477 0.004449657 0.0015874088 0.0037747782 0.00054960576 0.0016445187 0.0024483555 0.0029273415 0.00280084 0.002682936 0.0014259046 0.0022843948 0.00082103116 0.0024348455 0.003096829 0.005032424 0.0025011667 0.000935865 0.004904694 0.0025355555 0.0064104297 0.00078480016 0.0027547837 0.0011501806 0.0023697526 0.0026510034 0.003026209 0.0007276903 0.0032853528 0.0031760458 0.011441625 0.011672521 0.0018133919 0.0015554765 0.0019276117 0.0008953354 0.00055021985 0.00073321705 0.0027007442 0.0032700007 0.0015880229 0.0009788509 0.002713026 0.0014928398 0.00061838323 0.012056938 0.0042046374 0.0065541253 0.0009874481 0.0007135664 0.002343347 0.012241163 0.0012048341 0.033346638 0.0017863723 0.019013902 0.00081796077 0.0006589128 0.0016604849 0.00041819163 0.00040590996 0.0023083442 0.001457837 0.0006232959 0.00043108742 0.00039117193 0.0011870256 0.00079708186 0.00042985924 0.0006619833 0.0015757412 0.00067733537 0.0006116283 0.0007240058 0.0011882538 0.0013485298 0.00053670997 0.0009186706 0.0011305298 0.000921127 0.00044521136 0.00042433248 0.001312913 0.00045872122 0.0005968903 0.0006202255 0.0013571271 0.00046301982 0.00061838323 0.00043477194 0.001487313 0.00046916067 0.00042187615 0.00062882266 0.0014375722 0.0009966594 0.0012238707 0.0012017636 0.004266046 0.0013890595 0.0005317973 0.0006337353 0.0012386087 0.00069391564 0.00077313255 0.0006994424 0.007990469 0.002560733 0.0031232345 0.005101201 0.0030998993 0.00062391 0.005844244 0.00433728 0.0034585248 0.0024348455 0.0006355776 0.0010236792 0.0059210043 0.00052320014 0.001385989 0.0011489524 0.0020706935 0.0009352509 0.0011225467 0.00089717767 0.0025920514 0.00043722827 0.00080567907 0.00069452974 0.0025220457 0.00091744243 0.00057416916 0.0015511778 0.0014572229 0.001102896 0.0007123382 0.0006128565 0.002075606 0.0006122424 0.00057723955 0.0005035494 0.002081133 0.00069452974 0.0006337353 0.0005281128 0.024919555 0.005169979 0.0005717128 0.004241483 0.0046541477 0.0005569748 0.00065277197 0.00062575226 0.00599408 0.0023703668 0.0011452679 0.0012275552 0.0029764683 0.0016138145 0.0028597922 0.0021787724 0.0060425927 0.0016267102 0.001167989 0.0020565696 0.009856673 0.0035807276 0.0041033137 0.06159883 0.02075979 0.0 0.0 3.994749e-06 0.0 0.0 0.0 0.0 9.218652e-07 1.2291536e-06 1.2291536e-06 6.145768e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00057524384 3.072884e-07 1.5364419e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.2598824e-05 2.5197647e-05 0.0 0.0 0.0 1.2291536e-06 1.3213401e-05 0.0005660252 8.296786e-06 6.1457677e-06 2.1510186e-06 3.6874608e-06 2.458307e-06 1.0447805e-05 4.3020373e-06 6.145768e-07 9.218652e-07 1.2291536e-06 6.7603446e-06 9.218652e-07 9.218652e-07 1.2291536e-06 1.3213401e-05 0.002641451 6.8218025e-05 8.696262e-05 2.673409e-05 3.626003e-05 2.4275783e-05 2.089561e-05 2.2739341e-05 4.1483934e-05 2.6426802e-05 4.2405798e-05 1.3213401e-05 1.3827977e-05 1.6900862e-05 1.6593573e-05 4.8244277e-05 0.0015278378 3.1957992e-05 1.5671707e-05 2.9499686e-05 1.6900862e-05 1.8130015e-05 3.072884e-05 8.296787e-05 1.536442e-05 7.3749216e-06 7.067633e-06 1.8130015e-05 9.218652e-06 7.3749216e-06 3.257257e-05 3.7181893e-05 0.0064985347 0.00018867507 0.00016747217 4.0562067e-05 0.00031066855 0.00029468955 0.00037274082 0.00017791998 5.6848352e-05 0.00014964945 5.162445e-05 3.3494434e-05 7.282735e-05 7.1598195e-05 6.852531e-05 0.0008840687 0.0380887 0.0011996538 0.0019565052 0.000890829 0.0028046211 0.0014371878 0.0036591901 0.0021878933 0.00038994895 0.0009338494 0.0004157612 0.00034047553 0.0003518452 0.00042405797 0.00033555893 0.004369948 0.029576201 0.00058784266 0.0015213848 0.0017051433 0.003265861 0.0021626956 0.005126185 0.0027572988 0.00041391747 0.0005641815 0.00043081833 0.00033924638 0.00029653328 0.00028946565 0.00027072107 0.0029266146 0.019672295 0.0006640502 0.0012982935 0.00093354215 0.0030194158 0.0019979891 0.005624914 0.003059056 0.00058446254 0.00086931884 0.00047476057 0.00035399623 0.0005608013 0.0009510576 0.000458167 0.0035307435 0.00860346 0.00068494584 0.0005294579 0.0005555774 0.0013895581 0.00086993346 0.0020886392 0.0013139652 0.00037673555 0.0007003102 0.0004953489 0.00037519913 0.0004369641 0.001075202 0.0003841105 0.002147024 0.011171162 0.0022216951 0.001921167 0.02295137 0.0035451862 0.0022192367 0.0034440882 0.0026199408 0.0017702885 0.0016332378 0.0017715176 0.001862475 0.0019675675 0.001839121 0.001648295 0.0022342938 0.0062914225 0.000852418 0.00063946715 0.001189206 0.0017420179 0.001096405 0.0011987321 0.0010337181 0.0017309554 0.0003887198 0.0004053134 0.0007298099 0.000724586 0.0004418807 0.0009993018 0.0031918045 0.05826188 0.010273266 0.011333411 0.009237089 0.018932037 0.022161024 0.007953852 0.012805322 0.040378615 0.0038739848 0.00364106 0.006418947 0.019740513 0.005058274 0.018749509 0.04067146 0.07822333 0.016938351 0.016214073 0.01397947 0.02836702 0.034879692 0.012403696 0.023190748 0.05500247 0.0051630596 0.0049722334 0.0075519197 0.025019113 0.008793364 0.026125966 0.050349817 0.0002144873 9.0957365e-05 9.894686e-05 0.00011830603 6.299412e-05 7.436379e-05 0.00012629553 9.126465e-05 6.422327e-05 4.2713087e-05 3.9947492e-05 4.793699e-05 5.1009873e-05 4.0254778e-05 3.9025625e-05 5.5926488e-05 5432.0 11.496502 62449.0 0.02642156 0.0014571891 0.009896075 0.0013611107 0.022386268 0.0015052282 0.0012810454 0.0028343129 0.0063732006 0.0015372544 0.0014732021 0.0039071883 0.008102612 0.0043875803 0.004291502 0.0024820254 0.02464411 0.019247707 0.01702189 0.0215696 0.023395091 0.01540457 0.01577287 0.015308492 0.021889862 0.020528752 0.01639738 0.018238883 0.023395091 0.014908165 0.015692806 0.016013067 0.008983331 0.0066294097 0.0029464043 0.007478102 0.01665359 0.004723855 0.006052939 0.0074941153 0.008262742 0.0066774487 0.0019696073 0.0018094765 0.011289212 0.0032666656 0.0036830052 0.0029143782 0.017678425 0.0054764687 0.005860782 0.016109144 0.0116415 0.0035709138 0.0122019565 0.012298035 0.0068375794 0.002930391 0.0014892152 0.0024980383 0.009511761 0.0025781037 0.0032986917 0.0056686257 0.006501305 0.021921888 0.0048679723 0.015116335 0.016909799 0.03911992 0.0065493444 0.006741501 0.013018623 0.021313392 0.005028103 0.0025620908 0.020768948 0.008663069 0.01921568 0.021377444 0.013963394 0.0018415026 0.02318692 0.018286923 0.04275489 0.0116415 0.0046437895 0.004563724 0.0075741806 0.005284312 0.002385947 0.0013130715 0.008518951 0.0015052282 0.0018254896 0.0014251629 6.1328316 0.0 14.0 0.0 5.0 1628440.0 1536000.0 1.0 0.0 453.0 1.0 1.0 0.0 0.0 0.0 1432036000.0 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 1051136.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -99328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1051136.0 0.0 74752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2637563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.427964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.36514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6144342 0.0 4.528238 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99210.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1050684.0 0.0 74660.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 -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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -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 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -2.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 3.0 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1303148.0 74660.0 1355776.0 0.0 0.0 0.0 0.0 67100.0 1433600.0 28.0 1058912.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1171208.0 0.0 0.0 1872.0 1056768.0 192.0 1299768.0 0.0 0.0