[0,0.01,0.01,0.08999999,0.08999999,0.37999997,0.37999997,1.02,1.03,2.01,2.09,3.2199998,3.5099998,4.5699997,5.21,6.1499996,7.1299996,8.15,9.28,10.690001,11.76,13.66,14.65,16.689999,17.740002,19.35,20.41,21.320002,22.04,22.340002,22.560001,22.37,22.440002,21.88,22.160002,21.469997,21.75,21.189999,20.99,20.68,20.05,19.83,19.400002,18.900002,18.980001,18.03,18.170002,16.9,16.720001,15.199999,15.23,13.549999,14.709999,13.379999,15.629999,15.289999,17.32,18.059998,18.79,19.999998,19.720001,20.529999,19.869999,19.99,18.869999,19.14,17.39,18.84,16.66,19.050001,16.609999,18.779999,16.23,17.41,15.23,15.179999,14.27,12.96,14.44,11.93,16.339998,12.42,18.769999,13.36,19.509998,13.559999,17.91,12.84,15.559999,12.14,14.779999,13.26,16.91,17.19,20.909998,21.91,23.719997,23.759998,23.159998,21.939999,20.38,20.779999,19.66,26.989998,25.8,42.809998,39.239998,61.95,54.03,76.41,64.42,85.06,70.99,90.02,76.09,90.46,78.520004,85.81,76.729996,78.84,72.14,72.25,67.11,66.53,62.73,61.559998,59.299995,58.199997,57.999996,58.659996,61.11,64.63,69.55,74.56,81.200005,84.95,92.44,93.44,99.8,98.08,100.810005,96.770004,95.75,90.020004,87.53,81.020004,78.64,72.29,69.880005,64.47,61.82,57.6,56.04,52.8,55.34,52.89,61.56,59.389996,72.17,69.119995,81.740005,77.14,86.740005,81.479996,86.28,81.96,80.99,78.45,73.619995,72.71,67.479996,67.63,63.550003,64.07,60.950005,61.170002,58.960003,58.64,58,57.65,60.04,60.39,67.08,67.89,78.66,78.03,92.53,87.56,105.76001,94.89,113.37001,98.8,110.850006,97.28001,99.670006,89.90001,85.590004,78.9,72.41,67.16,60.85,56.789997,51.26,49.789997,45.449997,48.93,46.73,56.1,56.61,69.08,71.020004,82.51001,83.39,92.79001,91.09,100.00001,95.729996,106.41,99.81999,114.3,105.12999,122.600006,111.689995,126.51,118.119995,123.5,122.84,117.53,124.46001,114.84,123.39,117.63,122.54,123.01,123.89,127.03001,125.53,128.64,123.31,127.659996,114.95,121.25,102.28,108.08,89.33,92.369995,78.5,78.259995,68.95,65.28999,58.78,52.54,48.32,41.96,40.809998,36.87,40.53,40.519997,49.739998,53.54,65.64,70.490005,81.7,83.57001,93.520004,90.73,101.61,96.149994,108.86,104.09,116.7,113.77,122.36,119.37999,121.75,117.829994,116.880005,114.47,115.16,115.59,119.72,119.97,126.27,123,129.56,123.19,128.53,121.23,125.659996,117.64,122.189995,112,114.71999,102.29001,100.06999,87.89,81.56,72.56,65.5,60.63,54.999996,54.28,52.21,57.559998,62.35,75.78,88.100006,105.66,120.79001,132.52002,145.1,144.77002,154,146.24002,152.4,146.15001,146.12,143.67,135.16,132.79001,119.71999,117.200005,107.28,110.82001,109.810005,123.97001,132.4,151.5,164.23999,175.31001,185.09,180.1,182.94,164.97,161.48999,139.8,133.63,118.22,115.48001,114.34,120.06,133.79,144.81,164.7,170.13,186.87,179.49,190.85999,174.65001,181.94,166.27,169.75,161.86,162.36,166.20999,165.17,179.06,176.48,191.33,187.06999,194.29001,189.16998,189.02,183.70999,181.85,177.5,176.55,174.34,172.34001,170.52,165.77002,162.1,155.71,153.16,145.79001,150.43999,139.64,154.09,137.91,159.20999,141.03,162.51,148.88,164.35999,157.95999,166.26999,164.01999,168.36,166.82999,170.2,169.59999,172.49,174.55,175.79001,180.47002,178.73001,183.82,178.09001,180.23001,169.26001,165.26001,149.25,138.41,122.9,108.42,101.97,88.68,94.08,85.17,97.130005,94.740005,105.65,112.94,116.66,135.04999,128.8,152.9,139.5,158.82,144.43999,152.49,140.65999,141.62,130.48,135.01,121.090004,134.59999,118.310005,135.54999,120.4,132.81,120.36,125.06,114.41,113.899994,105.380005,101.93,97.71001,91.58,92.31,84.74,88.119995,82.38,85.7,83.229996,85.83,84.12999,86.979996,84.16,87.45,86.020004,87.89,91.270004,89.61,98.270004,92.9,105.31999,98.24,112.649994,107.229996,123.149994,121.75,140.13,141.16,160.34,159.69,174.09,169.61,176.1,167.51999,170.05002,156.35,161.19,142.95,151.46,133.16,142.44,128.17,136.61,126.399994,133.95999,125.86,130.93,123.64,124.25,117.31999,114.48001,107.27,104.41,95.79,95.299995,85.51,87.649994,79.41,84.979996,81.53001,93.850006,96.73,118.36,126.31,153.06,161.69,183.08002,187.43,195.36002,194.29001,188.76001,185.21,171.18,167.66,150.47,146.76001,131.95,128.29001,122.43999,122.56,129.7,137.56999,153.25,166.84,179.19,191.07,190.62999,195.37,182.48999,179.72,161.62999,154.42,137.95999,134.2,122.869995,132.6,126.950005,150.59,147.78001,172.72,167.32,181.16,168.86002,170.15001,150.93,146.38,125.25,123.75,108.270004,116.45,110.54001,127.6,128.46,146.23001,149.63,160.16,164.95001,166.7,171.64001,168.93,170.77,168.45,165.83,164.31999,159.19,156.63998,151.06,149.45999,143.68,146.85,140.29999,145.93,138.98999,139.74,133.38998,126.50001,120.06999,110.420006,102.259995,96.04,86.34,85.32,76.19,77.560005,72.090004,71.450005,73.64,67.97,80.25,69.51,89.15,76.08,96.55,84.51,100.310005,91.39,99.9,95.600006,96.729996,98.65,94.880005,102.58,97.31,106.59,101.79,107.66,103.72,105.14,101.630005,101.88,97.98,100.92,95.89,102.619995,96.149994,104.28999,97.06999,103.03,97.05,99.36,96.66,96.53,98.03,97.009995,102.94,101.45999,110.759995,109.13,117.95,117.15,120.96001,121.17,118.83001,118.740005,112.770004,112.740005,106.24,110.560005,104.439995,116.53001,109.369995,125.59,116.42999,129.16,119.14,125.68,116.28999,120.66,112.7,118.67,112.96,118.76999,115.549995,116.84999,115.439995,111.03,111.53,103.79,107.16,98.69,104.41,97.03,102.54,98.37999,100.729996,101.759995,98.829994,105.06999,96.509995,105.899994,94.07,104.369995,93.39,103.729996,96.270004,107.35999,102.26,114.74,108.96001,120.44,113.79,119.399994,115.509995,112.85999,114.53999,105.98999,112.229996,101.81999,110.73999,101.020004,112.03,104.07001,115.03999,109.729996,116.56,114.2,116.1,114.95,116.67999,114.11,120.219986,115.49,124.19999,118.44,123.979996,118.4,118.33,114.03,110.700005,108.9,104.73,106.16,101.38,106.27,100.119995,108.13,99.759995,108.770004,98.72,105.28001,96.67,98.850006,94.95,93.64001,94.78,92.64,96.83,96.75,101.65,104.42999,107.78,110.96999,111.049995,111.829994,108.79,107.369995,103.630005,102.729996,101.12,103.38,104.18,110.22,110.68,118.39001,115.54,121.920006,114.850006,119.270004,109.53001,113.850006,105.09001,109.990005,105.71001,108.44,109.04001,106.26,109.44,101.450005,105.10999,95.51,98.759995,91.11,92.869995,90.060005,88.18,93.22001,85.72,99.28001,86.54001,104.48,89.64001,106.29,92.61,105.64,94.31,104.23,96.130005,103.05,100.32001,103.42,106.22,105.5,109.68001,106.83,108.270004,105.06,103.98,100.399994,99.41,94.42999,95.63,88.78999,93.509995,85.42999,93.68,86.45,96.5,92.84999,101.979996,102.62999,107.66,110.619995,109.24,112.52999,104.92,108.95,97.32,105.11,93.39,108.71,102.74,124.29,127.68,145.45999,154.63,158.48,166.79001,157.31,163.28001,149.77998,155.69,146.91998,152.17001,150.45999,152.48001,154.15,152.83002,154.45001,151.04001,152.95001,147.16,149.39001,140.44998,140.72,129.35999,127.24999,114.65999,113.03999,99.70999,100.6,88.009995,90.25,81.45,82.92,79.149994,79.51,78.14,79.96,77.70999,84.35,80.909996,91.630005,89.15,98.67,99.54,103.39,108.799995,106.16,115.88999,108.24,122.31,112.07,130.94,120.31,141.43001,132.35999,149.73001,145.03,154.78,155.46,159.33,161.1,163.31,161.02,163.68001,157.68001,159.97,153.21,154.31,146.25,148.09,135.70999,141.34999,124.020004,133.18,113.83,122.56,104.69,109.88999,95.3,96.87999,87.33,86.67999,87.16,85.94,103.28,101.92999,135.91,131.85999,169.31,159.54,184.61,171.43,181.77,172.16,177.77,174.19,181.07999,177.06999,180.29,169.34999,163.20001,148.35999,136.96,126.899994,121.83,120.67,129.34,134.54001,151.33,158.88998,169.82,177.59999,174.56,180.97,167.36,169.32999,153.08,148.9,137.39,131.96999,131,132.07999,141.03,147.98999,159.4,162.49002,172.26,164.47002,175.98999,159.6,174.82,156.63,172.39001,158.95,172.89001,169.11,179.70001,185.3,188.59,196.84,191.58,195.87,187.63,187.32,181.91,180.44,176.98999,176.67001,170.15997,169.13002,158.07999,153.28001,142.87,136.01001,131.82,127.57001,128.29001,126.92,127.50001,125.22,124.15001,119.04,117.71001,110.9,109.57001,102.990005,100.85,96.33,92.759995,92.100006,86.69,91.31,83.83,93.22,84.07001,94.770004,85.87001,93.86001,88.59001,91.84001,93.47001,90.21001,101.08,87.950005,109.72,84.65001,116.060005,83.15,116.62,86.990005,112.41,96.8,110.490005,109.33,115.69,119.229996,125.21,123.159996,133.87,122.49999,138.56999,121.619995,138.12,124.33,134.06,130.10999,130.26001,132.96999,127.450005,127.34999,119.91,114.28,102.33,98.91,78.369995,84.3,58.44,70.04,50.1,55.97,52.01,45.17,55.969997,41.92,54.57,46.89,47.75,54.989998,41.92,58.669994,42.61,54.38999,49.06,46.539997,56.08,44.300003,59.190002,52.460003,57.8,66.130005,56.829998,78.14,65.53,88.79,88.840004,102.56,119.27,118.96999,143.45,132.94,154.75,141.27,155.26,143.78,150.98,140.01999,146.77,129.73999,142.09001,117.729996,134.49,112.53999,125.25,114.04,114.759995,109.07001,100.03999,89.12,82.85999,63.800003,69.329994,48.519997,60.429996,48.480003,55.17,60.170006,60.07,79.86,82.33,103.25001,114.73,120.780014,138.91,125.030014,145.54,122.46001,141.70999,124.229996,136.20999,128.19998,128.56999,124.25999,117.20999,112.98999,108.7,107.74999,113.04,119.97999,133.01001,146.63998,159.19,172.37,175.95001,183.66,174.94,178.82,160.82,164.37001,143.59,148.55,132.42,140.51,135.18,146.36,151.73999,161.20001,168.87,171.98,172.04999,169.69,159.04001,154.25,138.3,133.09,123.08001,120.259995,125.740005,126.87,145.90001,147.07,167.13,163.4,173.78,166.61,166.22,161.26001,155.59,155.6,149.85,153.28,148.18,152.27,145.76001,149.38,141.38,145.54,139.24,143.77998,143.68,143.47998,153.83,142.29001,163.75,141.98001,167.72,145.69,165.33002,151.44,160.08002,153.89,153.17001,150.01999,142.04001,140.67,126.91,129.11,114.71001,119.93,112.64,118.57001,120.43,127.06,131.02,139.01001,137.5,145.9,139.97,147.78,144.95999,151.14,156.26001,159.37,169.38,169.51001,177.23001,176.68,178.03,180.72,176.08,185.55,176.15,190.88,178.25,191.43,179.04001,186.01,177.15,180.15,174.12,178.61,171.28,180.23001,168.93,180.76001,167.36,177.76999,166.17,171.47998,163.73999,162.70999,158.84999,152.96999,152.62,145.94,148.76999,145.36,150.79999,150.79001,157.60999,156.61002,162.76999,155.30002,159.03,143.72,144.62999,127.31,125.979996,114.78999,111.63,108.53999,103.369995,104.44,97.24,99.94,91.31999,96.72,87.19999,96.31,86.23999,98.49999,88.56999,103.14,93.66,108.979996,99.57001,111.93,103.01,108.33,101.72,100.41,97.21,95.78,94.1,98.729996,95.399994,104.74,100.53999,108.38,109.24,112.53,121.73,122.83,133.99,137.26001,140.81,148.77,143.54999,154.71,147.62,157.66,154.24,160.12,159.07,161.93001,157.34,160.94,149.38,155.49,140.03,146.65,132.03,137.5,124.75001,130.29,118.86,124.119995,114.759995,116.37,109.47,106.990005,102.19,98.72001,97.54001,93.380005,98.810005,91.17001,103.33,92.09001,106.55,95.56001,107.71,100.36,109.54,105.5,112.69,109.56,114.17,111.29,113.19,113.25001,114.39,120.90001,121.97,134.95,133.41,148.48999,142.85,154.45,148.31,153.41,151.44,151.52002,153.16,151.59001,153.18002,150.16,151.39001,144.69,147.99002,138.55,142.77,135.5,134.92,134.07,125.590004,131.37,119.48,127.85,119.979996,125.03999,124.509995,123.14,128.14,122.369995,128.98,122.729996,127.82999,123.05,126.44999,123.29,127.79999,125.96,134.26,132.79001,143.91,141.04001,150.70999,145.09999,149.75,141.73999,141.22,132.5,128.91,121.770004,117.15,114.03999,109.259995,111.1,105.64,110.04,103.21001,105.95,99.090004,98.02,94.03,90.95999,91.049995,89.2,92.51,92.03,98.76001,95.94,107.33,99.24,114.020004,102.59,116.740005,106.8,116.630005,111.380005,115.03999,114.59,112.67999,114.94,110.92,112.92,110.53999,110.61,110.729996,109.560005,110.94,110.08,111.35,112.06,111.189995,114.01,108.59,111.78,101.9,102.130005,90.95,87.65,78.19,74.74,67.979996,67.46,63.399998,65.67,64.13,67,67.57,68.600006,71.06,68.78,72.93,67.97,72.53,67.22,70.14,66.18,66.57,63.53,62.43,59.240005,58.120003,56.780003,54.690002,63.04,54.280003,81.29,57.99,101.130005,61.84,103.64001,58.47,82.75,46.38,52.910004,32.77,31.160002,24.31,21.230001,20.679998,17.61,18.449999,15.57,15.92,13.73,13.27,12.04,11.13,10.5199995,9.75,9.089999,8.67,7.5399995,7.1800003,5.7699995,5.26,4.0599995,3.57,2.7299998,2.46,1.7399999,1.66,0.93999994,0.92999995,0.36999997,0.36999997,0.08999999,0.08999999,0.01,0.01,0,0,0,0,0,0,0,0,0,0,0]