[0,0,0.02,0.01,0.16999997,0.09999999,0.6499999,0.44999993,1.5,1.2099998,2.42,2.1899998,3.11,2.8899999,3.59,3.0299997,3.8899999,2.8399997,3.83,2.7199998,3.4099998,2.85,3.0099998,3.1299999,3.02,3.38,3.57,3.86,4.91,5.71,8.54,10.620001,18.380001,20.76,39.260002,39.28,70.57,66.56999,100.77,92.89,113.149994,101.89,100.899994,88.33,75.240005,66.78,56.480003,57.170002,56.530006,65.73,70.28001,82.41,82.79001,91.979996,82.46001,85.58,68.270004,66.58,48.810005,48.61,36.620003,45.440002,41.13,59.99,61.44,81.770004,83.36,94.34,89.060005,87.61,73.950005,66.29,50.920002,47.15,37.66,45.81,42.519997,62.100002,58.919994,78.44,70.45,77.41,65.549995,59.28,47.92,37.79,30.269999,24.34,21.689999,21.719997,23.32,27.369997,31.230001,36.609997,39.870003,43.699997,44.08,43.620003,41,36.25,32.75,29.210001,27.36,33.49,34.31,53.079998,55.55,79.659996,81.77,100.94,101.34,111.69,109.53999,111.97,106.78,102.56,97.32,89.96999,90.47,85.08,91.31,88.97,93.16,90.59,88.46001,82.72,80.11,71.130005,76.08,66.61,80.04,74.69,90.32001,93.100006,103.05,113.79001,113.28,125.81001,114.27,120.810005,101.909996,101.56,83.329994,82.96999,73.03999,77.74999,76.40001,83.36,84.96001,88.18,88.14,84.53,81.28999,71.44,65.119995,52.04,44.5,32.18,26.13,17.32,14,8.969999,7.7400002,5.2699995,5.09,3.9199998,4.35,3.53,4.72,3.52,5.6,3.85,6.2299995,4.55,6.16,5.3199997,5.6699996,5.73,5.2799997,5.66,5.13,5.3199997,5.05,5.09,5.17,6.16,7.17,11.41,15.1,24.119999,32.72,44.54,57.91,67.31,80.54,82.25,88.72,81.17,80.01,67.86,65.850006,57.609997,61.25,61.719997,69.57,75.38,79.71,83.8,78.57001,77.16,64.08,57.82,44.510002,36.05,29.74,22.67,27.81,25.19,42.589996,43.75,67.159996,67.25,85.729996,80.67,88.42,79.84,80.21,73.62,73.28,71.65,74.31,75.29,79.93001,79.4,82.12,78.47,76.52,70.82,65.09999,59.18,52.89,48.4,44.739998,42.71,43.96,44.489998,51.11,53.66,63.17,66.8,74.56,77.869995,80.09999,81.47,77.67999,76.01,68.54,63.890003,56.100002,49.660004,44.63,39.370003,38.14,39.41,39.989998,50.94,50.799995,65.96,64.97,74.04,73.78,72.73,73.95,67.21001,68.58,61.010002,60.05,52.210003,47.71,39.120003,32.519997,24.870003,18.88,14.140001,10.4,8.380001,6.6799994,6.05,5.2799997,5.31,4.7099996,5.14,4.64,5.12,4.8500004,5.12,5.04,5.12,5.1099997,5.1099997,5.1099997,5.0299997,5.04,4.76,4.87,4.4500003,5.0600004,5.5,7.5299997,11.059999,15.23,23.44,28.600002,39.81,43.230003,53.270004,53.97,59.72,59.449997,60.190002,59.719994,56.18,54.229996,48.300003,46.079994,40.73,43.42,41.629997,52.46,55.129997,70.39,74.62999,86.630005,88.14,91.8,90.03999,85.86,84.31,76.46,77.62,70.17,73.39,68.079994,71.75,68.299995,71.18001,68.39,69.25001,65.909996,63.86,59.6,55.04,50.47,45.19,41.15,36.85,33.55,30.329998,27.199999,24.3,20.82,18.24,14.71,12.95,10.15,9.08,7.4399996,6.4799995,5.8199997,4.74,4.6499996,3.6,3.87,2.9499998,3.58,2.7299998,3.6399999,2.8599997,3.7699997,3.1999998,3.83,3.5499997,3.84,3.7599998,3.83,3.8199997,3.7599998,3.7699997,3.5499997,3.6399999,3.1999998,3.57,2.85,3.77,2.6499999,4.1800003,2.6499999,4.3900003,2.8399997,4.1000004,3.12,3.48,3.2599998,2.9299998,3.12,2.6499999,2.85,2.57,2.7199998,2.56,2.85,2.56,3.12,2.56,3.2599998,2.56,3.12,2.56,2.85,2.56,2.79,2.61,3.4299998,2.9699998,5.2599998,4.08,7.9499993,6.09,10.209999,8.809999,11.579999,12.19,13.179999,15.579999,16.039999,18.009998,23.099998,24.010002,43.219994,45.550003,81.67999,85.94001,123.92999,125.40001,145.37999,140.47002,140.55,132.64001,125.8,119.87001,114.56,109.73001,105.42,96.84,92.17999,78.46,75.84,62.21,65.8,57.619995,67.83,61.67,72.7,60.429996,66.22,48.34,48.92,35.620003,34.260002,32.43,29.75,35.619995,30.28,35.64,28.29,29.699999,23.4,24.739998,22.939999,31.080002,35.789997,52.700005,61.909996,79.630005,86.479996,93.57,92.25,86.88,79.509995,70.72,64.490005,59.619995,58.180004,56.01,56.930004,53.53,52.490005,46.87,41.880005,35.35,27.850002,22.16,15.26,11.61,7.32,5.73,3.8999999,3.59,3.06,3.25,3.1399999,3.3600001,3.2699997,3.48,3.1999998,3.6799998,3.1299999,3.9099998,3.2799997,3.92,3.5499997,3.7599998,3.6899998,3.77,3.62,3.9899998,3.48,4.1099997,3.41,3.96,3.3400002,3.62,3.1299999,3.2099998,2.8399997,2.8599997,2.6799998,2.9799998,3.3599997,5.5,7.839999,15.31,21.489998,36.840004,45.78,65.310005,71.549995,85.83,84.94,87.41,81,74.020004,66.64,57.6,51.570004,45.32,40.380005,36.58,32.020004,28.09,24.11,19,16.5,11.39,10.63,6.99,7.2699995,5.29,6.2,5.1400003,7.3099995,7.0600004,11.67,13.7,21.75,27.509998,38.559998,46.96,57.61,65.729996,71.409996,77.1,76.96,79.59,77.22,77.17999,75.38,72.7,70.19,64.03,58.72,50.899998,45.440002,42.33,44.28,51.39,64.04,79.83,93.020004,109.09,106.66,114.14,92.770004,89.81,62.880005,55.619995,37.16,33.23,25.26,27.349998,23.220001,28.34,22.41,26.6,19.119999,22.900002,17.75,26.170002,25.449997,41.88,43.319996,64.36,63.629993,82.88,77.42,92.380005,82.78,93.2,81.759995,85.149994,74.42999,69.899994,62.579994,54.73,52.469994,46.370003,48.35,45.199997,50.09,49.579998,57.38,58.829998,68.04001,69.61,76.05,77.81999,78.869995,84.06,81.020004,90.39,85.79,94.37,88.880005,90.740005,83.31,78.090004,69.2,62.940002,55.67,54.21,50.100002,52.950005,50.2,53.590004,51.23,54.160004,53.42,56.870003,57.36,60.6,59.48,60.209995,55.59,52.359997,45.26,39.079998,32.79,26.57,25.04,21.05,26.77,25.169998,37.15,36.829998,50.079998,49.449997,57.989998,55.39,57.010002,51.87,48.54,41.899998,36.15,29.77,23.35,18.82,13.5,11.610001,8.369999,8.610001,6.799999,7.84,6.3999996,7.2299995,5.8799996,6.3199997,5.2,5.5599995,4.64,5.13,4.35,4.76,4.2799997,4.2799997,4.35,4.58,5.57,9.07,12.120001,23.64,30.070002,50.979996,59.08,82.71999,87.22,102.67,100.21001,101.56,93.83,84.42,74.86,63.96,55.33,52.15,46.84,54.9,54.239998,68.48,71.399994,81.71001,84.35,83.740005,81.64,71.34,63.95,51.33,43.06,35.35,30.630001,30.29,29.460001,34.57,35.5,43.11,44.280003,52.449997,53.05,60.1,58.789997,62.359997,57.429996,56.149994,47.249996,42.86,32.57,28.83,21.430002,20.95,18.580002,20.780003,21.560001,23.36,23.970001,22.960001,22.050001,19.17,17.6,17.380001,16.15,24.98,23.380001,43.93,39,64.06,52.71,69.91,52.98,57.800003,40.59,39.61,26.89,28.53,21.099998,28.140001,25.48,35.160004,37.800003,45.120003,51.990005,53.610004,60.410004,56.850006,59.75,53.610004,52.78,46.13,44.4,38.69,38.119995,34.53,35.19,34.129997,35.300003,36.589996,37.809998,40.84,41.77,45,45,46.79,45.160004,45.300003,42.480003,41.78,39.7,38.749996,38.65,37.64,38.260002,36.909996,36.2,33.51,31.329998,26.400002,24.259998,17.76,16.529999,10.629999,9.91,6.2599993,5.71,4.1099997,3.9799998,3.31,3.6799998,3.2199998,3.7699997,3.2699997,3.83,3.12,3.84,2.8399997,3.83,2.6499999,3.7599998,2.6599998,3.5499997,2.9199998,3.1999998,3.3999999,2.85,3.8199997,2.6499999,3.8399997,2.6799998,3.5899997,3.1,3.7399998,4.14,5.08,6.08,9.16,10.619999,19.74,22.089998,40.239998,43.07,66.61,67.17999,86.32,81.439995,88.94,78.42999,75.72,62.66,56.550003,44.25,40,29.67,28.150002,19.550001,19.29,12.470001,12.43,7.7500005,7.9000006,5.04,5.53,3.71,4.33,3.2399998,3.67,3.4399998,4.35,4.84,9.56,10.46,24.660002,26.760002,53.430004,58.730003,93.04001,101.420006,133.42,140.05,162.12,161.04999,170.35999,159.65999,156.28998,138.98999,126.36999,109.259995,94.85,84.3,75.34001,70.57,69.06001,63.130005,66.21001,56.06,59.740005,51.14,53.35,53.399998,54.45,61.78,61.160004,67.42,62.050003,62.43,51.920002,50.200005,41.410004,43.910004,44.950005,51.25,61.740005,64.2,75.25,69.47,73.26,63.93,60.43,53.839996,47.71,44.77,39.469997,37.86,34.53,32.36,30.779999,27.57,26.22,22.970001,20.42,18.95,15.74,17.45,15.2,19.96,19.17,25.1,24.95,29.95,29.650002,32.87,32.280003,33.34,32.550003,30.87,29.69,25.82,23.7,19.71,16.34,13.989999,9.98,9.499999,6.0199995,6.6299996,4.45,5.12,4.3,4.23,4.4,3.49,4.1000004,2.9399998,3.49,2.7399998,3.02,2.9399998,3.0099998,3.48,3.4099998,4.1000004,3.8199997,4.3900003,3.83,4.1900005,3.4799998,3.84,3.2099998,3.7799997,3.2999997,3.9899998,3.6299999,4.1099997,3.96,3.9699998,4.1,3.6999998,3.8999999,3.49,3.4099998,3.42,2.9299998,3.42,2.7299998,3.41,2.85,3.41,3.1299999,3.42,3.3400002,3.41,3.41,3.41,3.49,3.42,3.6999998,3.42,3.98,3.48,4.18,3.62,4.18,3.6899998,3.9699998,3.54,3.62,3.1999998,3.2099998,2.85,2.85,2.6499999,2.6499999,2.6499999,2.6499999,2.8399997,2.8399997,3.12,3.12,3.2599998,3.2599998,3.12,3.12,2.85,2.8399997,2.7199998,2.6499999,2.85,2.6499999,3.12,2.85,3.2599998,3.1999998,3.12,3.54,2.85,3.6799998,2.7299998,3.54,2.9299998,3.1999998,3.3999999,2.85,3.83,2.6699998,3.94,2.83,4.01,3.57,4.71,5.12,6.66,8.51,12.139999,17.580002,26.409998,36.940002,50.949997,62.840004,74.619995,79.69,81.05,74.91,67.65,56.560005,50.25,47.61,47.659996,60.940002,64.2,85.64,86.55,101.2,98.03,100.270004,94.65,90.93,84.14,81.68001,74.59,74.95001,70.31,72.450005,73.03,75.83,80.5,82.490005,87.04001,87.380005,88.810005,88.19,87.12,86.57,85.93,85.740005,87.25,87.420006,89.92,90.93001,92.200005,94.619995,93.380005,96.369995,92.630005,93.56,87.82001,84.51,76.2,69.48,57.59,50.81,37.27,33.39,23.12,23.130001,20.04,23.71,29.099998,35.47,47.899998,54.699997,68.45,72.67,80.5,80.37999,79.869995,75.71999,69.369995,62.659996,53.199997,45.76,35.309998,28.89,20.249998,15.709999,10.91,7.8999996,6.55,4.36,4.73,3.06,3.9499998,2.6599998,3.8600001,2.57,4.1900005,2.56,4.3900003,2.57,4.1000004,2.6399999,3.49,2.8399997,3.02,3.12,3.0099998,3.2599998,3.4099998,3.1299996,3.8199997,2.9199996,3.8199997,2.9199996,3.4099998,3.1299996,2.9999998,3.2599998,2.9299998,3.12,3.1299996,2.8399997,3.2699997,2.6499999,3.2099998,2.6599998,3.21,3.0299997,3.6999998,4.5299997,5.46,9.119999,10.370001,18.989998,20.420002,33.43,34.39,47.420002,47.07,55.410004,53.92,56.410004,55.47,54.4,55.7,53.940002,57.21,55.809998,58.89,56.879997,57.32,53.46,50.050003,44.51,38.25,32.519997,25.939999,21.45,16.42,13.660001,10.35,9.150001,6.89,6.83,5.1499996,5.54,4.5299997,4.5699997,4.56,3.86,4.76,3.59,4.76,3.71,4.54,3.9699998,4.33,4.1099997,4.2,3.9899998,3.9899998,3.7799997,3.6999998,3.85,3.57,4.28,3.7199998,4.76,4.06,5.0299997,4.4700003,5.1099997,4.83,5.12,5.04,5.12,5.1099997,5.12,5.12,5.12,5.12,5.12,5.1099997,5.12,5.04,5.12,4.83,5.1099997,4.48,5.06,4.7,5.62,8.98,10.49,24.009998,26.5,51.999992,55.55,83.439995,88.67,108.17999,116.659996,129.22,139.57999,150.42,155.97,162.35,157.95999,158.4,147.23,148.66,136.63,142.42001,129.32,133.04001,114.69,110.39,87.490005,77.39,57.99,49.59,43.06,42.510002,51.510002,57.579998,75.16,79.03999,94.65,89.10999,97.09,84.39,85.58,72.71001,71.2,61.550003,61.899998,55.86,60.16,58.48,64.9,67.240005,72.86,76.48,80.18,81.8,83.47,80.829994,80.04,72.17999,68.67,56.47,50.92,37.579998,31.650002,21.239998,16.81,11.339999,9.279999,7.62,7.419999,7.05,7.83,7.13,9.15,8.940001,14.179998,17.84,27.859999,38.69,51.350002,68.939995,79.5,99.22999,105.4,121.11999,124.479996,131.79999,133.98999,132.81,132.38998,126.450005,120.359985,113.86,102.12999,97.44,84.93,82.090004,73.850006,70.83,67.869995,63.4,64.399994,60.96,64.77,65.89,70.16,74.63,74.76,76.7,69.520004,65.28,52.83,45.52,32.59,28.26,17.49,18.43,10,13.48,7.59,9.99,7.05,7.2099996,6.5099998,5.41,5.4099994,4.32,4.1399994,3.58,3.37,3.2199998,3.2399998,3.2999997,3.3600001,3.6399999,3.49,4.04,3.76,4.38,4.19,4.4700003,4.62,4.38,5.9700003,5.71,11.690001,12.5199995,25.86,28.56,47.19,51.239998,66.61,70.81,74.53,78.17,69.240005,71.5,56.09,55.66,41.329998,38.47,28.599998,25.970001,18.969997,18.78,12.339999,14.09,8.599999,10.45,8.03,8.84,10.91,10.35,16.119999,14.150002,20.490002,17.330002,21.03,17.2,17.78,14.119999,13.389999,10.74,10.12,8.58,8.190001,7.1699996,6.77,5.95,5.39,4.9700003,4.0699997,4.0800004,2.9,3.02,2.12,2.16]