[0,0,0,0,0,0,0,0,0,0.09,0.23,1.0000001,2.19,5.17,9.610001,16.59,26.109999,37.4,50.34,64.18,75.979996,89.93,97.83,110.43,114.84999,126.55,127.28999,140.11,135.09,149.84999,139.01999,151.88998,138.85999,142.29001,130.20999,119.880005,108.77,89.600006,79.36,62.08,54.489998,46.51,42.260002,44.29,41.230003,50.21,46.32,57.530003,53.660004,62.530003,61.739998,67.36,72.619995,77.79,88.51,94.950005,104.82001,111.090004,113.65001,118.76,115.520004,120.770004,117.69,122.99,120.590004,122.729996,117.060005,114.22,104.71001,100.31,89.93001,89.68,79.95,85.52,76.36,83.81999,76.670006,81.53,78.82001,80.34,82.06,82.31,85.03999,86.3,85.81999,89.63,84.19,91.799995,83.200005,95.42,87.73,102.83,100.1,112.770004,115.67,120.37,124.47,120.2,120.11,111.03999,105.729996,97.159996,89.81,84.049995,78.78,74.67,73.81,69.509995,72.64,67.78999,73.49,67.88,75.6,68.299995,77.58,69.49,78.520004,72.66,79.11,76.86,79.86,79.71001,80.03001,80.19,79.420006,79.4,79.54,79.26,81.14,80.200005,82.16,80.600006,80.47,79.090004,76.61,75.54,71.77,70.03,66.21,64.16,61.96,62.22,62.58,66.57001,67.32,73.68001,71.25,78.84,73.159996,81.67999,76.31999,84.28,81.34,87.17999,84.84,88.55999,84.24,86.38999,80.17,81.439995,74.990005,76.579994,70.41,73.03,66.64,69.42,62.95,64.16,59.059998,57.91,56.19,52.87,54.43,48.629997,50.19,42.23,40.93,34.390003,30.279999,29.87,23.7,29.439999,21.58,28.289999,20.369999,24.14,18.31,19.949999,16.619999,17.669998,16.259998,15.99,16.58,14.51,16.91,14.779999,17.71,17.24,19.66,20.27,22.07,22.31,23.45,23.119999,23.37,22.64,22.46,20.96,21.939999,20.3,23.84,24.22,29.76,33.61,39.04,45.07,48.68,54.16,55.13,59.489998,57.4,62.86,58.79,66.58,63.47,71.240005,70.39,74.61,73.36,73.909996,69.65,71.049995,65.32,72.3,67.799995,79.97,76.31,88.66,84.78999,93.350006,90.95,95.93,96.1,99.11,99.32,100.3,98.64,96.87,95.380005,91.89,92.67,90.09,91.66,91.09,90.83,90.729996,88.56,88.32,85.899994,87.09,85.28,87.97,86.880005,88.57,87.57,85.979996,83.829994,78.229996,76.689995,67.61,71.899994,61.000004,73.009995,62.13,77.42,67.43,81.57,73.33,86.630005,82.19,95.5,96.06,106.35,109.67,113.89,115.91,116.130005,115.31,115.75,114.59,115.369995,116.88999,114.329994,118.189995,110.189995,113.82,101.78999,104.14,90.84999,93.310005,81.73999,85.71001,78.20999,82.509995,78.770004,80.11,77.71001,74.020004,71.87,64.56,63.98,56.659996,58.96,54.309998,59.079998,57.5,62.910004,63.88,67.21001,70.29001,69.68001,74.14,70.950005,75.94,73.119995,77.78999,75.81999,78.61,75.97,75,72.39,67.36,68.079994,61.109997,66.61,60.32,68.090004,63.120003,69.41,64.92,67.450005,63.699997,62.620003,61.289997,59.09,60.969997,59.86,63.940002,63.469994,67.83,67.09999,68.98,69.22,66.37,68.75,62.69,65.69,60.679996,62.119995,60.249996,60.069996,60.649998,59.519997,62.29,59.969997,65.33,62.44,69.22,67.39,72.89,71.67,73.909996,70.72,69.92,63.75,62.13,54.77,54.510002,47.95,48.24,43.059998,41.25,37.659996,34.92,33.559998,35.03,36.96,43.850002,50.270004,57.15,68.39,70.56,86.34,84.59,104.689995,101.55999,122.909996,118.54999,134.01999,126.31,131.52,118.86,117.58,102.08,100.729996,88.11,88.35,83.700005,83.91,87.53001,87.47,94.47,94.119995,98.3,95.53999,94.61,88.74,85.700005,80.369995,79.42,77.83,79.5,79.96001,81.14001,81.270004,79.520004,80.380005,76.42,78.479996,74.689995,75.20999,73.7,71.479996,73.15,70.39001,74.29001,73.12001,77.100006,79.5,81.72,89.87,89.14,100.4,95.86,102.36,94.44,92.6,83.93,79.27,72.55,71.95,67.28999,71.869995,67.97,75.46001,71.61,80.200005,75.84,84.01,79.31,86.380005,83.32,90.82,89.87,98.78999,95.62,103.93,93.53,100.21001,83.21001,90.95001,73.73,83.67001,73.76,82.25001,82.89,85.94,93,89.86001,96.35,88.72,92.72,83.06,88.009995,78.270004,87.1,78.83,90.43,84.73,94.59,90.31,94.74,89.46,90.03,83.79,85.45,79.880005,84.700005,79.35,85.04001,78.61,82.84,75.83,78.92,71.85,75.13,67.61,71.11,64.64,66.729996,64.15001,63.550003,64.90001,62.64,65.33,63.13,65.69,63.83,66.3,65.05,66.53999,66.89,66.01999,67.45,65.17999,65.52,64.44,62.62,63.329998,60.53,61.44,59.3,59.26,57.96,56.859997,55.739998,54.079998,53.27,52.63,52.65,54.420002,55.36,58.15,60.369995,61.049995,64.67999,62.21,65.53999,61.73,62.729996,59.85,58.8,58.190002,56.17,58.300003,54.89,59.09,54.019997,58.43,53.1,56.35,52.19,54.799995,52.08,54.84,53.230003,55.83,54.7,57.33,55.65,59.29,56.25,60.730003,56.6,60.66,56.13,58.809998,53.960003,55.01,50.230003,50.43,47.06,47.97,47.01,49.350006,50.679996,53.410004,55.899994,57.560005,59.249992,59.760002,58.979996,59.260002,56.1,56.38,52.62,52.460003,49.82,49.550003,48.510002,49.160004,49.58,51.17,52.73,54.12,55.96,56.719997,57.87,58.39,58.5,58.260002,57.47,55.690002,54.269997,52.140003,50.64,50.47,49.67,51.840004,51.809998,54.63,54.62,57.050003,56.93,59.17,59.56,61.38,62.38,63.280003,64.71,65,67.02,66.96,69.119995,68.02,69.03999,66.28,65.81,61.93,61.18,57.420002,57.190002,54.670006,54.36,53.690002,53.14,53.550003,53.969997,53.57,55.589996,54.010002,56.369995,55.44,56.8,57.809998,58.489998,61.010002,61.45,64.71,64.11,67.58,65.53,68.5,65.619995,67.6,64.479996,65.82,63.47,64.41,64.17,64.020004,65.61,64.29,65.76,64.65,64.76,64.78,64.3,64.81999,65.479996,65.979996,69.03,70.51,76.01999,79.450005,85.59999,89.600006,92.909996,95.05,92.83,93.15,86.03999,86.93,78.53,81.17,74.99,78.39,75.65,78.96,79.020004,82.27,83.41,86.46,86.310005,88.97,86.08,88.77,84.17,87.95999,84.17,89.909996,87.77,94.130005,91.83,95.81,91.97,93.060005,88.490005,89.54001,85.17,88.07001,83.97,88.170006,85.14,90.62,90.2,97.03,98.990005,103.67,105.399994,103.54,103.049995,96.54,94.009995,89.63,85.6,85.88,80.79001,81.51,76.90001,73.9,71.61,65.42,66.01,59.16,62.190002,56.18,61.160004,57.13,63.360004,62.200005,68.29001,69.3,73.69,75.06,76.82001,76.979996,76.03,74.119995,71.46,67.85,65.7,62.09,62.869995,60.97,65.24,65.2,70.649994,70.92999,74.24999,73.409996,73.369995,71.909996,70.229996,69.70999,68.93,69.799995,70.37,72.38,72.44,76.04,74.57001,79.75,78.240005,83.36,83.06,86.26,85.86,86.65,84.369995,84.26,80.21,82.1,77.17,82.25,77.44,83.31999,80.82001,84.52,85.37,86.08,87.18,84.73,82.75,76.33,73.23999,63.44,64.06999,54.249996,59.839996,53.67,61.3,59.620003,66.73,67.73,73.71,75.32,79.5,80.630005,81.96,81.950005,80.58,78.96001,76.38,73.74,71.439995,69.28999,68.12999,67.64,68.21,70.01,72.350006,76.37001,79.17,83.50001,84.770004,86.3,85.27,82.65,80.5,75.35,73.83,68.45999,68.17,63.769997,64.33,61.67,62.88,62.139996,63.83,63.519997,64.79,63.269997,62.989998,60.8,59.199997,58.17,57.199997,57.690002,58.67,59.28,61.35,61.53,63.689995,64.729996,67.11,69.52,71.42,73.619995,72.979996,74.55,70.57999,74.36,68.469986,76.78,70.20999,81.3,74.479996,84.8,78.95,86.619995,82.73,88.130005,85.37,89.950005,87.29,91.54001,88.98,92.3,89.76,92.630005,89.259995,92.78999,87.8,91.979996,85.92,90.64,85.46999,90.6,88.56999,92.299995,94.37999,94.5,98.77,95.19,98.45,92.66,94.560005,87.71001,90.200005,83.46001,86.31,82.28001,82.61,83.850006,80.19,86.270004,80.79001,88.3,84.2,89.36,88.13,88.95999,91.13,87.92,93.42999,88.229996,95.74,91.490005,99.62,98.270004,105.86,107.11001,111.54001,114.11,112.37,115.229996,107.34,109.52,99.36,100.2,92.509995,92.24,89.509995,89.009995,91.42,91.25,97.61,97.41,104.89,103.909996,108.69,106.53999,106.22,103.3,97.94,95.53999,86.43001,85.92999,75.14001,76.729996,67.350006,69.45,63.72,64.31,61.969997,60.989998,60.649998,59.82,60.199997,60.439995,60.05,60.829998,58.7,59.76,56.62,58.789997,56.319996,60.039997,59.069996,63.069996,62.979996,65.83,65.61,67.64,67.11,69.26,68.64,70.85,69.53,71.58,69.46001,71.38,71.37,71.7,77.020004,73.49,82.479996,76.399994,84.41,80.89,85.83,87.22,89.14,91.869995,90.479996,90.34,86.649994,83.88,80.869995,78.240005,77.72,76.090004,77.43,75.990005,78.19,77.58,80.12,81.37,83.16,84.19,83.990005,81.08,79.490005,72.509995,71.94,65.28999,67.42,64.78,70.07,70.94,80.56,83.200005,96.75,100.44,111.350006,114.770004,114.71001,116.5,105.39,106.04,92.17,92.28,83.44,81.729996,80.23,75.26001,79.380005,72.09001,78.97,72.22,79.54,75.15,81.33,78.3,82.47,78.53,81.28999,75.83,79.42999,73.91,80.58,76.060005,86.18,82.479996,93.950005,91.23999,99.79001,98.31999,100.08001,98.63,93.58,90.5,82.02,77.82,69.42,66.9,60.399998,61.489998,56.9,60.69,57.35,62.01,59.94,64.16,63.449997,65.5,65.53999,64.229996,65.31,62.719997,66.44,66.83,72.490005,77.57001,81,88.8,87.57001,96.03,92.01,100.490005,95.41,103.130005,96.65001,102.39,95.98,99.01,97.29,97.57,103.59999,101.38,112.52999,108.13,119.149994,112.56999,121.24,112.09999,118.729996,108.399994,112.380005,104.38999,104.270004,99.799995,95,91.83,83.84,81.32,73.41,73.2,67.79,69.77,66.97,68.77,67.65,67.62,67.45,66.15001,66.479996,65.81,65.81,67.009995,65.36,67.56,63.69,65.07,60.19,61.04,57.659996,60.649998,60.17,66.39,66.72,73.70999,71.45,76.59,71.619995,74.94,70.02,72.78001,69.42999,72.71001,69.94,74.770004,70.8,77.05,71.25,77.369995,71.579994,77.18,74.27,80.350006,79.81,86.07001,83.61,89.15,83.22,88.69,83.5,88.990005,88.31,91.44,94.09,93.61,97.21,96.08,100.3,101.59,106.5,108.869995,114.82001,116.009995,124.89001,125.17999,136.92001,134.79,144.16,135.73999,137.72,125.03,121.41,113.16,109.420006,110.5,108.16,115.240005,111.54,120.5,115.61,127.33,127.65,143.53,153.78,168.3,182.64,185.17,192.14,178.57999,174.39,153.28998,144.8,127.17,121.490005,108.36,105.00001,90.899994,86.32001,70.56,65.630005,53.189995,52.010002,45.93,49.54,48.260002,53.239998,54.42,57,59.309998,58.059998,59.49,54.93,53.710003,48.46,46.070004,44.07,43.950005,46.22,49.730003,52.51,58.510002,57.69,64.3,59.17,63.930004,55.969997,56.870003,48.589996,46.840004,41.909996,41.25,42.039997,43.940002,49.1,51.06,57.53,56.63,62.309998,57.670002,61.149998,53.36,54.129997,45.42,45.69,39.550003,42.8,40.72,47.059998,47.370003,53.17,54.22,56.87,58.480003,58.36,59.920002,58.09,58.160004,55.839996,53.900005,53.68,51.030006,54.76,53.64,59.199997,60.719997,63.889996,66.64,65.799995,67.17,63.829994,62.629997,58.6,56.329998,52.61,52.699997,49.77,54.6,52.32,60.04,58.299995,63.840004,63.729996,63.300003,66.479996,60.120003,66.11,57.190002,62.380005,55.86,57.25,56.36,55.12,58.72,57.81,62.59,62.590004,67.47,66.350006,72.44,68.03,74.57001,67.47,71.14001,65.8,65.44,66.369995,65.100006,71.64,72.14001,79.11,80.5,84.35,86.31,88.9,94.5,99.71001,110.68,118.520004,131.23,137.70001,146.7,148.96,151.44,150.29001,145.73,143.65,133.48,132.87,121.71001,123.880005,116.740005,121.240005,119.12001,126.05,127.44,139.61002,144,162.66,168.53,187.87999,190.13,201,195.87,194.92001,186.12,178.19002,172.83,164.94002,164.26,159.75,158.57999,156.65,151.11,150.09,142.12,141.51999,136.01,135.23999,134.4,131.62999,132.4,126.71999,123.87999,118.19,110.369995,109.66,101.270004,106.51,102.71001,108.86,110.17,112.770004,115.72,116.22,117.13,118.45,116.149994,117.71999,114.81,116.13999,117.09,120.84,127.55998,134.36,144.45998,148.52,157.84998,151.63,157.96999,140.33,144.95,123.31,129.16,113.06999,122.020004,114.23999,125.81,120.689995,132.26,124,133.32999,123.850006,132.18,127.64,137.65,139.62,150.76999,156.23001,166.37999,173.86,182.78998,191.43,196.91998,200.79001,195.88,186.83,168,145.75,119.89,93.979996,71.91,52.019997,38.550003,26.96,20.400002,14.269999,11.540001,8.059999,7.08,5.05,4.5599995,3.54,2.9499998,2.57,1.8099998,1.7199999,0.9499999,0.93999994,0.36999997,0.36999997,0.08999999,0.08999999,0.01,0.01,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]