[0,0,0,0,0,0,0,0.01,0.02,0.09999999,0.17999998,0.45999998,0.73999995,1.3,1.8699999,2.6599998,3.4699998,4.75,5.7999997,8.58,10.1,15.110001,17.36,23.490002,26.970001,32.13,38.72,42,54.64,55.97,74.52,73.08,91.20999,86.08,96.35999,87.95,89.70999,79.590004,78.119995,68.92,68.770004,64.35,66.57,69.33,72.6,80.06,82.21001,89.04999,89.01001,92.42999,90.89001,91.60999,89.42001,88.81,86.32001,85.37,83.1,82.97,80.71999,82.22,78.119995,82.36,75.75,86.39,81.59,102.15,105.310005,131.68,142.58002,163.2,174.16,180.81,185.12,180.09,178.27002,169.7,166.28,159.41,155.78,150.12,142.79001,136.18999,121.840004,114.82999,94.8,90.53,69.84,70.619995,54.32,58.26,49.159996,51.16,49.04,45.85,47.530003,40.510002,42.300003,35.300003,35.93,32.59,32.14,35.11,32.83,42.729996,39.280003,53.199997,52.800003,65.78,71.42,80.01,88.32,91.29001,96.759995,93.95,95.520004,88.47,88.55,80.490005,82.06,75.56,81.729996,78.14,89.07,89.98,100.740005,106.55,112.54,120.12001,122.27,127.67001,129.13,131.42001,132.8,132.55,133.98,131,135.16998,130.01001,138.12,132.13,139.67,132.7,134.44,125.94,122.16,113.97,107.62,103.28,95.46,98.3,91.27,103.55,103.079994,123.03,131.04,150.10999,159.56999,167.56,172.56999,166.5,172.47,156.62,171.66,150.23001,171.42001,146.18001,162.82,137.28,143.03,123.98999,119.57,112.11,101.73,103.56,93.600006,96.57001,92.97,90.56001,94.11,85.420006,91.25,78.65,80.93,67.79,64.8,55.170006,49.989998,46.460003,42.89,43.82,42.88,45.1,45.660004,51.51,52.230003,68.15999,68.270004,92.499985,93.01,112.649994,117.200005,123.179985,133.34,131.04999,139.77,141.04999,137.53,146.76,129.48001,140.31,118.86,123.5,107.53,105.82,96.89,94.86,87.54,91.119995,79.22,90.61,73.729996,89.78,74.09,88.45,78.91,89.58,82.6,94.850006,83.27,100.48,85,100.520004,89.259995,94.01,90.14,85.89,82.869995,80.53,71.45,76.85,63.32,72.33,61.739998,69.17,65.77,71.33,73.049995,78.05,81.299995,85.16,88.45,89.84001,92.17,90.59001,91.17,85.630005,86.27,75.28,78.84,64.39,70.149994,58.36,61.999992,57.16,55.739998,56.699997,51.79,55.46,50.53,55.88,51.53,59.28,53.39,63.839996,57.36,69.24,67.89001,79.75,85.64,98.8,104.85,121.57,121.36,138.29001,135.99,145,147.33,144.87001,149.94,140.04001,141.84,129.93,127.03,116.149994,110.24,102.53,95.729996,93.52,91.99,96.28999,107.909996,115.89,138.95,144.22,166.75,164.34,177.93,168.17001,174.12999,160.75,162.56999,149.6,147.91,138.12,133.01,125.89,119.079994,111.61,106.56999,98.1,98.52,92.26,98.399994,97.25,104.55,108.36,111.53,118.479996,116.11,123.81,118.1,123.23,116.57,116.03001,108.95,101.810005,93.75,81.91,73.28,61.469997,54.39,47.57,44.54,42.42,44.920002,41.65,49.260002,40.81,50.600002,39.440002,47.660004,39.140003,44.39,41.65,45.09,47.79,50.809998,55.82,59.019997,62.239998,65.31,65.649994,67.2,68.96,68.63,76.94,78.22,91.47,99.26,109.45,123.50001,125.229996,138.88,134.20999,141.54001,134.51999,136.61,126.91999,129.39,114.67999,121.729996,105.17999,118.5,109.22,129.02,131.86,154.33,163.49,180.49,186.89001,192.72,193.43,189.56999,187.18,178.81999,175.79,166.48999,162.95,153,147.69,136.42,127.54,116.740005,103.06999,96,79.17999,76.66,61.789997,63.030003,55.289997,60.440002,61.07,69.07,74.97,82.19,88.97,91.600006,96.97,92.32001,96.45,84.33,87.91,72.36,76.659996,62.780003,69.85999,59.72,68.92999,63.85,70.369995,73.06,72.43,82.34,74.4,85.44,73.979996,80.76,70.770004,73.47,67.24,68.94,64.67,68.240005,63.71,71.670006,67.88,79.600006,79.35,88.310005,92.18,92.91,97.43,94.08,94.32,95.479996,90.659996,98.729996,93.439995,104.619995,101.14,111.64,104.99,113.09,99.78999,105.08,91.61,95.17999,89.37,94.38,93.31,104.53,99.590004,119.850006,109.08001,133.97,121.88001,140.56,130.80002,134.91,128.96,119.39,117.59,101.920006,102.44,88.93001,90.060005,85.619995,89.66,98.479996,108.53,127.149994,140.25,157.48,166.43999,173.51999,175.84,173.61,173.04001,166.29001,165.69,156.08,154.64,142.54001,139.75,127.18,124.810005,112.82,113.54,100.72,106.31,92.090004,100.84,88.11,93.95999,87.259995,84.01999,84.979996,72.09,77.44,60.85,66.3,52.83,57.29,48.840004,52.949997,48.210003,52.01,51.960003,57.1,64.41,74.21,88.09,101.130005,116.72,125.56,138.2,138.35,146.9,141.26001,147.61,140.77,146.03,140.42001,142.11002,138.63,132.97,130.5,116.74,112.869995,94.51999,88.74999,72.28999,66.729996,59.75,56.809998,63.54,64.32,80.65,84.44,101.14,105.020004,116.55,116.86,122.58,119.04,118.23001,115.740005,107.16,110.93001,95.350006,104.72,85.729996,94.91,78.909996,83.240005,76.25,76.01,78.13,76.64,82.75,82.369995,88.33,88.43999,93.03,91.24999,93.729996,89.35,88.72,84.14,80.41,77.8,73.09,71.08,69.079994,64.8,67.909996,61.320004,68.03,62.4,68.2,66.33,67.85999,69.06,67.439995,69.27,67.97,71.42,70.399994,81.579994,77.14,99.46999,92.549995,117.98999,117.31,132.61,143.99,145.38,163,156.93,170.73,162.48999,168.51999,158.73999,157.35999,146.79001,137.9,127.84,115.84,106.1,104.40001,95.4,114.23,107.51,138.43,133.04001,157.55,150.69,162.06,152.85,157.29,146.02,147.60999,135.12,132.48,122.509995,115.81,111.82001,103.71001,103.3,95.54,94.78001,87.86,88.87,83.2,90.600006,87.07,100.350006,100.020004,115.26,117.90001,132.71,135.19002,147.37001,144.11002,150.47,137.28,137.19,115.41,111.44,87.3,82.020004,62.03,57.55,45.08,43.439995,38.59,39.309998,40.28,40.010002,44.11,41.210003,46.06,43.200005,48.15,48.39,53.6,56.53,60.620003,64.64,65.630005,71.229996,70.200005,78.229996,80.39001,89.53999,100.14,108.17,126.020004,131.07,148,148.14,157.92,151.92,156.54001,144.66,148.05,131.16,131.73999,113.19,108.299995,97.020004,90.369995,94.329994,92.159996,107.03999,109.119995,121.899994,122.24,126.02,121.12,119.29,111.33,109.84,102.53,103.46,97.42,98.97,91.229996,92.520004,79.69,83.520004,65.41,73.95,54.260002,65.25,48.81,59.1,48.85,58.629997,55.1,65.74,67.71,77,81.53,84.33,87.54001,82.2,81.3,73.4,67.47,65.57,55.190002,62.95,50.97,63.910004,55.020004,65.29,61.910004,65.06,64.82001,61.57,60.88,54.91,53.34,48.4,48.100002,46.22,48.91,51.72,57.14,66.97,72.31,87.91,89.18001,102.67,99.43001,103.009995,100.00001,94.03999,95.62001,86.689995,93.62001,86.99,100.270004,95.99,117.119995,111.12,136.08,124.380005,143.63,126.520004,133.98,116.420006,116.6,105.130005,110.600006,109.64,128.54001,136.43,161.15,168.43,182.63,179.15,176.56001,162.57,151.07,136.43,124.94,118.10999,109.31,113.439995,109.17999,124.51,127.08,148.64001,153.66,172.04001,171.19,182.37,176.04999,184.54,180.27,189.67,187.98001,195.77,189.41,193.33,178.06,181.34,159.04,165.73999,141.54,150.4,131.09,137.76999,127.78,129.81,127.340004,122.96001,122.76,109.94001,108.03999,89.33,84.76999,67.450005,63.289997,51.260002,52.83,44.86,53.620003,50.97,63.140003,70.270004,83.310005,99.33,113.840004,131.16,145.42001,157.56,167.31,172.04001,175.69,172.63998,171.65999,162.67,158.82999,148.32,143.12999,134.22,129.14,121.579994,118.07,111.229996,111.130005,105.70999,111.23,107.43,118.880005,116.9,128.68,132.34,134.22,149.31,134.76001,160.12,131.43001,155.93999,122.26,135.23999,108.840004,109.25,99.07001,91.28,96.11,83.32001,95.48,81.41,96.58,86.66,104.37,99.94,117.55,113.49,126.170006,118.19,123.19,113.28,111.450005,102.92,97.72,89.59,84.700005,75.23999,71.43001,63.619995,58.9,57.6,51.510002,56.69,52.449997,58.8,59.57,62.43,67.07001,66.91,70.83,72.66,72.14,82.04,77.86,99.32,95.25,126.4,122.14,155.58,145.45999,172.26001,154.70999,169.36,151.04,153.48,140.97,136.72,129.81,127.26001,120.21,124.33,111.87,122.020004,106.68001,120.51,110.979996,125.770004,125.46,137.1,140.17,145.75,145.15,145.63,139.69,138.20001,130.26999,128.76001,122.579994,120.81999,115.009995,113.37999,102.72,105.16,89.240005,100.19,86.68,105.12,101.55,122.060005,127.37001,146.31,153.22,169.93,172.66,186.59,183.1,192.68,182.57,184.89001,169.04001,161.08002,142.22002,125.23001,107.14001,88.280014,74.100006,61.890007,52.090004,50.380005,42.630005,48.36,40.910004,48.64,42.61,51.120003,47.83,58.410004,56.71,66.33,65.729996,68.64001,74.02,69.37001,87.92,80.06001,111.81,104.43001,139.15,133.07,158.29001,153.43,164.18,161.33,162.09,162.44,160.2,162.6,158.93,158.98,151.59,146.3,137.55,129.87,127.15,122.33,127.579994,126.35,131.70999,131.67,129.43,131.81,123.36,133.03998,124.520004,143.18997,137.3,159.51999,155.37001,172.56,169.32,177.57,174.3,175.98999,171.6,168.39,165.13,153.77,157.11,134.4,147.29001,115.91,135.88,104.31999,125.33,103.34999,117.28,110.13999,109.58,115.11,99.62,110.64,88.93001,98.33,81.22,85.65001,77.44,77.64,75.17,73.31,71.83,69.11,67.17,63.76,62.58,58.289997,58.79,53.839996,56.54,52.46,59.190002,57.86,69.840004,71.31,85.090004,87.45,96.450005,97.56,98.520004,97.38,93.100006,90.659996,85.899994,85.189995,80.6,84.56,76.67,84.70999,73.52,81.64,74.32,79.35,82.090004,84.53,94.060005,96.94,104.51,110.19,110.71,117.91,112,115.880005,107.32,103.5,97.38,86,85.96999,71.72,79.15999,68.08,85.58,81.770004,111.13,114.18,148.07,152.58,177.68001,177.96,188.96002,184.45001,185.81001,179.56,174.64001,169.26001,156.77002,154.58002,134.11002,137.71,112.93,123.26,100.32,114.92,98.67999,112.8,102.61,114.100006,103.78,115.71,100.22,115.28,96.67,111.87999,96.86,107.60999,100.06,106.06999,102.87,107.70999,102.350006,110.28,100.64001,114.149994,104.630005,121.619995,116.810005,131.37,130.28,138.98001,136.47,141.55002,134.10999,138.31001,127.909996,129.07,120.61,114.770004,110.3,98.58,96.600006,84.86,84.810005,76.840004,81.14,76.08,86.59,82.619995,96.35,93.17,103.64,101.82,104.68,105.12,101.48,104.200005,99.98,102.14,103.24,100.66,105.81,98.12,99.49,92.68,85.909996,87.73,77.03,88.310005,82.009995,93.020004,98.85,96.340004,117.17,96.36,125.119995,94.7,117.97,92.47,102.68,89.97,90.43001,87.64,85.46001,85.35,83.96001,82.049995,80.94,77.24,74.950005,72.06,67.56,68.189995,61.73,66.81,61.72,69.69,71.74,79.950005,91.490005,98.880005,113.29,121.380005,126.67999,137.54001,127.13999,140.44,118.62,130.95001,107.66,114.62001,96.979996,96.31,85.58,81.24,76.27,79.67999,80.04,99.92999,103.69,132.93,134.76999,156.51999,152.06999,158.88,149.43,146.88998,137.94,133.48999,129.67,126.369995,127.14,124.409996,124.22,120.41,115.2,110.82001,103.229996,100.46,95.16,94.259995,90.93001,90.35,85.92,85.23,79.740005,80.14,75.770004,78.630005,75.71001,80.8,78.31,82.44,80.869995,79.97,81.11,74.810005,79.009995,71.22,76.66,71.36,76.09,74.270004,78.17,77.810005,82.909996,79.670006,88.06999,78.32001,89.17999,75.83,86.03999,78.06,85.82,88.22,93.24,101.59999,103.2,110.36,109.10999,112.09,110.74,109.700005,109.020004,104.450005,101.65,95.020004,88.09,84.479996,74.46,82.87,72.11,98.03,88.88,124.73999,118.35999,148.16998,143.03,157.97998,151,154.18999,144.34,142.02,131.51999,126.63001,117.39,111.23,102.32001,97.729996,88.740005,88.520004,82.05,85.36,82.82,87.2,85.18,91.659996,84.6,95.96,80.869995,95.7,74.99,88.86,68.95,79.770004,65.53999,72.96,64.78999,67.63,63.699997,61.949997,60.379997,57.32,56.69,58.699997,58.75,73.47,74.369995,102.96,103.27,132.58,129.92,141.69,136.5,128.34,125.26999,113.759995,117.27999,116.69,125.26999,132.64001,139.23999,144.88,144.18,145.59,138.20999,136.38998,125.229996,118.03,105.33,91.990005,82.43,67.12,68.67,55.61,71.74,61.45,84.36,75.75,93.07001,86.18001,93.26001,88.700005,90.21001,87.590004,90.880005,88.9,98.840004,95.509995,111.19,104.34999,119.17,108.83,116.049995,104.97,103.149994,93.86,87.33,80.4,75.34999,70.15,70.10999,65.58,71.14,67.76,78.49,79.09,92.61,97.7,110.119995,114.54,124.8,122.11,131.78,120.3,128.10999,112.649994,114.509995,102.67,97.28,92.26,82.17,80.33,68.520004,65.07001,53.810005,48.03,39.090004,33.28,27.080002,23.23,19.08,17.55,14.849999,14.91,13.280001,13.97,12.930001,13.400001,12.540001,12.130001,11.35,10.02,9.45,7.9199996,7.6399994,6.6099997,6.5199995,6.08,5.99,5.88,5.6,5.53,4.9700003,4.76,4.06,3.77,3.21,3.0099998,2.73,2.6499999,2.57,2.49,2.48,2.2800002,2.2800002,2,2,1.86]