[0,0,0.01,0.01,0.08999999,0.08999999,0.36999997,0.36999997,0.93999994,0.93999994,1.7299999,1.7399999,2.6799998,2.79,4.1299996,4.68,7.0299997,8.719999,12.59,16.18,21.25,26.789997,31.75,38.109997,41.33,47.05,47.15,51.88,48.39,52.7,47.19,50.96,46.59,48.739998,47.7,47.6,49.47,47.769997,50.420002,48.42,50.120003,48.46,49.129997,47.35,47.719997,45.79,45.799995,45.259995,44.079998,46.109997,43.46,46.72,43.42,45.36,42.77,42.4,41.58,39.940002,41.03,39.239998,41.82,39.370003,43.28,38.960003,43.96,38.22,43.63,38.370003,43.940002,40.04,45.84,42.800003,47.98,45.56,48.809998,47.48,48.37,48.78,47.55,50.059998,47.07,51.239998,47.050003,52.11,46.86,52.730003,45.91,52.510002,44.57,50.73,43.54,48.05,42.82,45.52,41.96,43,40.62,40.18,38.92,37.68,37.86,36.240005,38.39,36.020004,39.879997,36.620003,41.019997,37.21,41.42,37.28,41,37.08,39.62,36.79,37.979996,36.339996,37.159996,36.29,37.55,37.34,38.85,38.949997,40.15,39.71,40.44,38.939995,39.84,37.369995,39.260002,36.43,38.670002,36.72,37.190002,37.29,35,37.199997,33.86,37.04,35.309998,37.77,38.81,39.269997,42.020004,40.82,43.16,41.809998,42.79,42.049995,42.489998,41.949997,42.36,41.65,41.29,40.660004,39.190002,39.300003,37.370003,38.63,36.760006,38.370003,36.600006,37.300003,35.460007,35.78,33.58,35.44,32.79,36.409996,33.59,36.879997,34.489998,35.54,34.629997,33.28,34.58,32.31,34.86,33.730003,35.699997,36.239998,37.08,37.74,37.9,37.270004,36.79,35.130005,34.23,32.860004,32.449997,32.420002,32.839996,33.6,34.33,34.059998,34.870003,32.979996,34.02,32.259995,33.489998,33.809998,35.43,37.8,40.86,43.73,49.420006,51.52,59.130005,60.24,66.47001,66.700005,68.840004,67.75,67.02,64.06,64.009995,60.02,62.659996,59.68,64.69,62.95,69.43,66.07,73.34,66.13,73.149994,63.769997,68.92999,60.740005,62.699997,57.350002,56.45,54.11,52.68,53.41,53.5,56.699997,57.739998,61.259995,61.019997,62.699997,59.8,60.14,54.93,56.34,50.45,53.670002,49.260002,52.870003,51.18,54.08,53.979996,55.679996,54.629997,54.38999,51.329998,49.28,45.43,43.01,39.84,38.149998,35.97,35.04,33.67,33.09,32.74,32.15,32.850002,32.33,33.260002,32.989998,33.72,32.879997,34.36,31.779999,34.600002,31.169998,33.97,32.88,33.41,37.04,34.17,41.350002,36.68,43.590004,40.870003,44.6,45.66,46.35,48.77,48.01,48.68,47.109997,45.910004,43.399994,42.06,38.92,38.6,35.64,36.29,34.36,35.03,34.33,34.3,34.019997,33.809998,33.71,34.04,36.129997,36.33,43.260002,41.45,53.130005,47.85,60.290005,52.59,60.33,53.93,54.44,52.54,48.16,51.13,45.47,52.25,45.75,55.329994,46.629997,57.649998,47.6,58.1,49.22,57.21,50.68,55.059998,50.57,51.87,48.79,48.410004,45.99,44.59,42.34,40.15,38.19,36.559998,35.16,35.57,34.81,36.36,36.06,36.4,36.11,34.649998,34.37,32.32,33.079998,31.189999,34.229996,32.48,38.04,36.7,43.39,43.25,48.480003,50.33,52.370003,55.87,55.41,58.209995,57.35,56.589996,57.33,52.139996,55.9,47.379997,54.030003,43.97,50.97,41.69,46.08,39.75,41.06,38.31,37.93,37.760002,36.770004,37.32,36.770004,36.32,37.700005,35.769997,39.660004,36.699997,42.090004,38.449997,43.54,39.940002,43.24,41.22,42.55,43.090004,43.379997,46,45.690002,49.34,47.86,51.59,48.73,51.68,48.28,49.93,47.13,47.25,46.510002,44.77,48.060005,44.38,51.89,47.25,55.39,51.77,55.870003,54.87,53.500004,54.989998,50.550003,53.26,49.300003,52.48,51.239998,54.5,56.379997,58.3,61.910004,60.9,63.110004,59.82,58.22,55.160004,51.04,49.610004,46.120003,45.780003,44.04,44.27,43.68,44.48,44.82,45.199997,46.37,44.64,46.46,42.239998,45.2,39.88,44.13,39.59,44.129997,41.18,45.689995,43.43,48.909996,46.16,52.699997,49.780003,55.81,53.99,57.960003,57.809998,59.100006,60.08,59.030003,60.31,58.34,59.61,58.510002,59.46,60.489998,60.05,63.539997,61.12,65.49,62.19,64.270004,61.51,59.940002,57.94,54.940002,53.16,51.59,49.59,50.29,47.91,50.51,47.89,51.84,49.47,53.82,52.12,56.27,54.559998,59.760002,55.91,64.240005,56.77,67.5,58.49,67.15,61.04,63.93,62.64,61.089996,62.589996,61.229996,63.029995,64.81999,65.97,70.02,69.72,73.19,70.55,71.62,67.39,66.369995,62.71,60.969997,59.089996,57.64,57.039997,56.190002,55.82,55.58,54.640003,54.93,53.4,54.04,53.149998,54.1,55.129997,56.75,58.92,61.76,62.53,66.63,64.41,68.78999,64.3,67.81999,62.71,65.399994,60.679996,63.199997,59.35,61.76,59.43,61.55,61.42,63.35,65.56999,67.229996,71.34,72.399994,77.47,77.54,82.31,80.43001,84.06,79.08,81.5,74.21001,74.8,68.59,65.83,65.09,58.050003,67.36,55.4,77.08,59.68,89.09999,68.899994,97.31999,79.86,103.53,91.32,111.56,102.07,118.420006,109.520004,120.200005,114.16,119.62,119.12999,120.100006,122.69999,120.149994,120.59999,118.649994,115.09999,117.34999,111.89,116.62999,112.09,115.159996,113.86,112.44,116.75,109.630005,120.82001,108.64001,123.65001,108.89,121.37001,107.19,113.97,102.75,106.67999,98.78,104.99,98.99,109.990005,104.35,117.92,112.63,124.9,120.9,131.41,126.76,138.20999,127.700005,141.87,123.71001,139.39001,118.42,132.31,115.17,124.65999,115.5,119.42,119.009995,115.5,122.28999,110.31,122.36,105.049995,119.59,101.81999,115.97,99.62999,113.759995,97.31,112.92,95.369995,110.81,95.509995,107.96999,99.53,107.619995,106.23,109.20999,112.3,109.56,116.15999,107.64,117.65999,105.28,116.85999,104.259995,113.56999,102.299995,106.96999,96.08,98.31,88.770004,92,87.19,91.11,92.29001,93.94,98.520004,96.8,101.490005,99.87,102.12,106.03,102.46,112.36,101.81,111.99,99.649994,105.38,97.38,99.25,95.72,97.09999,94.479996,98.52,94.43,102.83,97.91,109.15,106.17999,114.98,114.53,116.450005,115.189995,112.04,107.47,105.68,98.76,103.72,95.92,108.91,100.44,118.259995,109.149994,126.899994,116.83,131.98999,119.86,132.01,118.5,127.71,116.2,124.39,116.31999,126.46001,119.42,132.09,124.28,137.1,129.12,138.41002,131.73,134.86002,131.45,129.65001,129.41998,126.96999,126.87999,126.109985,125.56,124.43999,126.28,122.48999,127.61,122.34,129.08,123.549995,130.54001,122.78999,129.37,118.35,125.33,113.369995,123.22,113.78,127.05,124.88,136.33,146.12,146.41,166.4,151.4,172.56,150.56,165.26999,148.78,157.04,149.30002,154.54999,150.63,154.22,149.76001,154.1,146.43,157.22,144.01999,162.13998,144.25,162.69998,145.3,158.44,147.36,154.21,151.69,151.96,154.83,150.89,152.94,150.04999,149.16998,148.79,149.23,148.43,152.62,149.62001,154.16,149.63,151.32,147.34,145.82,145.41,141.85,145.95999,143.98001,149.74,152.01999,157.1,159.95999,165.7,162.45,170.29,158.18,167.85,149.91,161.63,144.38,157.29999,145.55002,156.73,149.76001,158.31999,152.26001,160.01999,151.43001,160.60999,147.29001,160.42,142.6,159.31,140.88,156.27,142.34,153.15001,145.82,151.99,150.67,150.76001,155.18,148.35,157.11,146.79,155.63,147.09999,151.47,149.34999,146.3,152.56999,143.17001,153.56,144.69,150.41,147.65001,143.63998,145.52,134.91,139.05,129.14,135.17001,131.53001,136.08002,140.22002,138.34001,148.72002,139.02,154.36002,138.56,158.44002,139.59,160.30002,141.47,157.95999,140.38,153.53,138.08,151,140.28,150.70001,145.83002,150.75,148.65001,150.08,147.53,149.4,146.23001,150.87,146.94,153.38,147.77,152.31,145.91,147.66,141.49002,144.06,138.02,143.33,139.27998,144.65,145.07997,146.98999,151.59998,148.42,156.34999,148.37001,158.84,148.45001,158.95001,149.09001,158.75,150.06001,160.22,153.12001,161.39001,159.25,160.06,165.11,156.2,166.41,149.37,162.43,139.47,154.37999,128.78,144.59999,121.21,138.04999,119.16,137.19,120.82,138.20001,122.76,136.76001,122.90001,131.76001,120.500015,124.25,118.09001,117.28,119.54,113.57,124.149994,114.11,128.79999,119.46001,132.22998,127.009995,133.19,131.06999,130.8,130.93999,127.03,131.46999,124.91,133.95999,125.509995,135.2,126.969986,134.41,127.27999,133.72,127.68,133.5,129.05002,132.10999,129.00002,129.26999,127.78001,127,129.19,127.47,133.38998,130.37,137.02998,132.24,138.26999,130.40001,136.75,127.03,133.18001,125.59,129.88,126.01999,128.32,127.09999,128.20999,128.75,130.03,130.86002,134.27002,133.23001,137.98001,134.29001,136.84,131.24,130.73999,125.87,124.35,125.009995,123.619995,131.87,131.09,141.79999,141.43,147.45999,146.03,146.45,143.69,143.56,139.89,144.85,138.61,150.78,140.76001,155.81001,143.9,154.20001,143.13998,146.52,138.7,138.72,136.57,135.15,138.92001,135.35999,142.46,136.34,145.12,136.69,146.75,138.18,146.23001,141.26999,143.78,143.54,143.34,145.72998,148.34,152.53998,157.45,166.07999,166.04,182.29999,168.95,191.20999,164.26999,183.54,156.97,163.45,153.49,146.95,153.85,142.6,154.30002,143.9,151.83002,142.72,144.27002,139.3,133.43001,136.92,125.42,134.95999,123.38,130.73999,125,124.37999,126.7,118.689995,126.009995,115.28999,122.759995,112.70999,118.44,108.67,113.29001,103.43001,107.69,99.14,103.48,95.8,99.200005,90.92,91.12,83.979996,81.45,77.84999,76.14,74.67999,75.53999,73.42999,76.17,72.61,77.46001,72.770004,80.21001,75.51,84.33,81.69,90.67,90.43,99.45,100.25,107.869995,110.22,111.89,115.86,107.81999,108.99,94.42999,89.47,76.39,68.840004,61.26,56.15,52.25,49.990005,47.550003,46.04,44.68,42.95,42.450005,40.77,40.600002,39.65,39.950005,41.42,43.81,51.07,58,73.47,84.95,105.630005,117.439995,135.97,144.73999,156.08002,164.16,168.13,178.81,176.48999,188.66998,180.70999,192.98,180.7,195,179.22,197.18,177.63,197.76999,176.41,195.29,177.23999,191.22,180.14,187.6,182.74,184.79001,184.01001,182.39,185.35,181.48,187.47,183.14,188.70999,185.22,187.63,184.49,185.17001,181.08002,183.35,178.77,183.90001,181.65,187.76001,189.53,194.16,197.45999,200.66,201.67,204.28,202.94,203.28,203.4,199.23999,203.97,195.76001,204.69,194.51,205.17,194.78998,204.98,195.47998,204.09999,195.68,203.41998,195.3,204.25,194.64001,206.22,193.47,207.29001,192.53,206.29001,193.32999,203.5,195.13998,199.59999,195.57,194.73,193.29001,187.92,187.97,179.37,180.19998,172.54001,173.19,170.41,171.92,171.35,177.81999,171.67,185.65,170.55,188.79,170.27,186.45,172.68001,183.38,177.87001,183.62,185.01001,185.79999,191.54001,185.71999,194.14,182.82999,192.76,179.84999,190.5,177.56999,189.73001,175.40999,190.76001,174.10999,192.42,174.60999,193.04,177.05,191.95,180.72,189.9,184.28,188.41,187.29999,188.27002,189.79,188.16002,190.33,186.22002,187.84001,182.59001,184.50002,179.42001,184.47,179.25,189.28,182.73001,195.78,187.64001,200.15,191.27,202.01999,192.83,202.72,193.51999,202.38998,195.47,200.68,199.22,198.29999,202.44,196.48,203.37001,195.11,203.69,193.18,205.52002,191.26,207.32,189.98,205.25,187.23999,198.54001,181.79999,190.92001,176.66998,185.84,175.23999,183.4,177.57999,182.25,181.71999,181.18002,185.79999,179.17001,188.70001,175.8,189.98001,171.79,189.96,169.12,189.15,169.16,187.37,170.37,184.72,170.20001,182.69,168.64001,183.14,168.22,186.57,171.34001,190.70001,177.56001,192.06,183.83002,190.59,187.78,188.81,189.03,186.83,188.41,184.05,187.83002,182.56,188.74,183.75,190.38,185.63,191.22,185.69,191.25,184.04001,192.03,183.1,194.34,183.85,196.24,184.03,195,181.99,190.51001,179.71,186.03001,180.61002,185.83,186.12,190.64,194.43,196.23001,202.07,198.77,206.48999,198.59,207.10999,197.37,205.35999,196.06,203.75998,195.53,203.66,196.22,204.42,197.89,204.58,200.11,203.21002,202.51001,201.11002,205.16,199.53001,208.31,197.96,211.68999,196.23001,214.45999,195.63,215.44,195.46,213.99,193.38,210.36,188.77002,204.16,182.68001,194.79001,177.52,184.18001,176.31,176.28,179.23999,173.81,183.28,176.09,185.69,179.26999,185.6,180.01999,183.43001,178.68,180.82,177.38,180.20001,176.99,182.63,176.73,186.38,176.04,188.87,176.38,189.04999,179.08,187.39,182.41,185.09,184.04001,182.99,184.20999,181,184.09,179.6,183.64,179.84,182.92,181.25,183.91,182.54999,188.39,183.22,194.13,182.95001,196.39001,181.85,193.62,180.93001,189.13,181.44,186.91,184.66,187.82,191.46,190.94002,201.43,196.15002,212.47,202.07,220.66,204.6,222.32,201.92001,217.62,197.37,210.73999,194.59,206.15,193.58,205.07999,192.48,205.56999,190.9,205.92,190.38,205.65,191.11,203.07,190.67001,196.89,187.77,189.44,184.04001,183.87,181.39001,180.75,180.19,179.21,179.7,178.29001,179.06,177.28001,177.83002,176.1,175.86002,174.51001,172.58002,169.75002,164.71,156.40001,147.95999,135.38,127.94,121.42]