[0,0,0,0,0.01,0.01,0.08999999,0.08999999,0.36999997,0.36999997,0.92999995,0.92999995,1.64,1.64,2.28,2.28,2.84,2.84,3.49,3.48,4.29,4.21,5.2200003,4.96,6.46,6.09,8.440001,8.55,11.75,13.250001,17.02,20.27,24.530003,28.870003,33.870003,38.190002,44.16,47.600002,54.46,56.49,63.85,64.07,71.36,69.22,75.9,70.54,76.04,67.21,70.45,60.45,60.21,54.100002,50.84,52.740005,49.36,58.36,57.77,69.18,71.35,81.69,84.119995,92.979996,93.61,101.329994,100.03,105.979996,103.7,107.2,104.64,106.149994,103.35,103.83,100.67,100.03999,96.72,93.61,90.44,83.689995,80.79001,71.13,68.71001,58.910004,57.59,51.300003,51.78,52.74,54.67,65.67,66.67999,86.55,83.89,105.98,100.18001,116.65,111.69,119.46001,118.009995,119.57001,120.09,119.64,119.42999,119.399994,118.229996,118.99,118.090004,119.56,119.020004,121.86,120.74,126.15,123.92999,131.71,128.94,136.07,134.29999,137.45001,137.69998,136.76001,137.54999,134.90001,133.48999,131.37001,126.86,127.020004,120.520004,123.770004,116.81,121.17,115.14,116.99,112.21,110.28999,105.899994,102,98.48999,94.61,94.45,91.53999,95.91,94.45999,101.46,101.56999,108.14,109.49,113.42,115.53999,115.54,117.71,113.350006,114.66,107.8,107.899994,103.25,102.119995,103.77,99.490005,107.11,95.81,106.64,88.42,100.81,84.48,95.81,92.17,96.97,106.84999,102.130005,115.84999,106,114.62999,107.450005,110.12999,109.69,110.1,115.450005,115.5,123.71,122.64,130.62,128.04001,133.45999,130.47,132.94998,131,131.94,132.38,133.31,136.93001,137.90999,143.63,143.35999,148.22,146.34,147.48999,145.98001,142.5,143.41,136.18,138.93,129.59,132.15,123.17999,124.78,118.93001,120.39,117.420006,121.01999,116.41,125.87999,115.15,132.01999,115.49,135.63,118.17999,135.26999,122.34,133.36998,127.009995,133.65997,130.69,137.62,132.02,141.63998,132.24,140.31,134.93001,136.32,142.12001,139.57,151.57,151.61002,159.77002,161.63002,166.20001,162.83002,171.53,161.52,174.87,165.61,176.11,174.65,176.67001,184.65,176.44,192.72,174.38,194.7,171.78,188.2,170.98999,178.82,172.34,174.38,175.38,175.05,180.48,175.90001,186.68,174.77,191.15,173.72,192.01999,175.83,189.10999,180.79,183.78,182.81,180.34,176.12,182.13998,163.16998,184.40999,152.35,178.79,147.78,166.15,147.28,156.09,147.8,152.79999,147.58002,150.91,146.37001,146.4,145.25,142.44,144.7,143.91,144.93999,151.19,147.29,157.98999,152.25,157.32,157.94,151.66,161.56,149.87,161.54999,154.56,159.47,160.81999,159.76999,164.26999,165.62,164.82999,175.02,164.86,182.44,165.42001,184.2,165.85,182.02,167.63,180.99,173.45001,182.69,181.12,182.09,185,174.78,183.8,163.75,181.12,154.91,179.62,151.45,178.42,154.4,175.41,161.09,171.83,163.94998,172.15,157.91998,175.90999,147.35999,175.20999,142.72,166.17,151.63,156.99,171.84999,158.52002,192.37,171.62001,203.59,189.20001,204.64,205.91,200,220.37,194.93,231.91998,195.20001,239.13998,203.74,239.69,215.79001,231.79001,222.37,217.34001,218.41,201.85,205.37,190.20999,189.63998,184.16998,179.47998,184.04,177.34,188.90999,175.47,194.46997,166.37,196.34998,154.09999,195.62,147.15,195.13998,146.38,193.51,148.43,188.73,153.94,183.41,163.77,181.05002,172.87001,181.31001,176.06001,182.23001,176.03,183.37001,178.57,185.61002,182.62,190.39001,182.26999,197.52002,177.60999,202.72,175.73999,201.66,179.56,196.4,182.6,192.56,178.29999,190.97,169.28,186.75,163.08,176.61,162.38998,165.19,164.53998,162.18,167.84999,171.18999,173.03,184.87999,179.92001,194.48999,187.27,199.35999,194.51001,203.87999,200.54001,209.26999,201.73001,210.91,194.59001,203.73001,182.65001,189.87999,176.87,178.15999,183.20999,175.13,194.45,180.06001,200.93,188.35,202.63998,196.01001,205.45,201.05,211.83,203.95001,218.67,206.3,221.29,207.37,217.79001,204.01,209.98001,194.58,201.76001,181.79001,195.8,171.88998,190.54,169.97998,183.84,175.19998,178.88998,182.06,179.62,186.38,183.03,188.21,184.53,189.49,185.76,191.11,189.45999,192.54,193.72,192.19,196.49,188.13,198.2,181.3,197.25,177.17,190.23001,179.67,180,184.70999,176.91,185.69,185.88,183.85,197.62,186.18,198.45001,194,184.87,200.60999,166.15,200.38998,154.55002,193.65999,153.96002,182.82999,160.02002,171.25,168.02,164.95001,174.48,167.48001,175.81,173.61,171.92,174.08002,167.53,166.03001,166.98,154.87001,169.75,146.68001,171.07,143,166.05,142.39001,155.12,142.38,146.10999,140.73001,146.79999,137.72,154.45,135.79999,158.58,136.4,153.67,138.47,142.29999,139.81,128.60999,138.56,116.5,133.6,110.759995,125.56,112.03999,117.89,114.03,114.42,111.97,115.130005,109.51,117.01001,112.76,119.54,122.32001,125.009995,132.65002,132.45999,136.22002,136.77998,130.37001,134.70999,120.82001,127.40999,115.08,118.23999,114.09,110.399994,112.89,104.88,107.41,100.799995,99.03,98.03,92.56,97.51999,91.08,99.92999,94.229996,104.689995,99.64,109.27,104.13,110.31,105.22,106.59,103.49,101.03,102.78999,98.94,106.42999,102.520004,113.56,108.67999,120.490005,114.31999,125,119.83,127.72,124.88,128.97,126.259995,127.01999,122.96001,121.28,118.21,114.5,114.60999,110,112.03,108.46001,110.14,108.06,108.25,106.6,104.020004,103.1,96.21,97.78,87.32,92.03999,82.15,89.49,85.08,93.91,97.01,104.14,113.21,114.920006,126.81,123.44,134.63,130.13998,137.68,134.68999,138.54,136.76,139.65,138,141.18,138.84,140.51999,136.76,135.82,130.63,128.67,123.38,121.850006,118.07,116.21,113.87,111.52,108.76,108.81,104.1,108.979996,102.17,109.729996,101.270004,107.049995,98.28001,100.06999,93.73,92.22,90.340004,87.22,89.15001,85.84,89.72,87.01,92.07001,89.75,96.44,92.99,101.45,95.159996,103.92,95.07,101.77,92.86,96.1,89.40001,89.25,84.93001,82.55,79.700005,76.85,75.88,73.56,76.63,74.46,82.67,80.119995,91.14,87.88,98.17999,93.2,101.85,94.380005,102.45,94.18001,101.579994,97.350006,103.009995,108.770004,112.899994,130.53,133.91,158.17001,159.37,183.98001,179.79999,203.39001,194.01001,214.21002,206.59,215.56,217.62,212.13,222.12,212.03,216.79,215.89,203.1,214.03,186.34,199.44,172.54,179.11002,163.94,165.61002,158.59,161.12,154.97,158.06,152.91,152.4,150.61,147.38,146.74,144.7,143.52,140.66,141.62,133.61,136.56,127.61,126.3,125.06999,116.23,122.48999,112.100006,116.74999,113.95,110.659996,118.14,109.03,121.270004,111.95,122.95,116,125.13,120.619995,128.37,128.18,131.62,138.15,134.60999,146.08002,138.09,149.36002,144.9,150.94,159.68,155.99,181.6,166.24,201.36,178.43,211.88,187.45,215.91,190.37,217.96002,188.76001,216.56,187.98001,209.73999,191.79,201.33,196.97,196.68001,197.62,196.71,194.65,198.58,194.66998,198.20001,200.35999,193.04001,207.37,185.57,208.69,180.88,199.98,179.76999,183.81,177.51999,169.07,170.67001,163.52002,162.74,166.11002,159.36,168.74,159.29,166.36,156.66998,161.23999,150.25,156.76999,143.81,153.51,140.48,152.43,141.82999,155.48001,148.44,160.7,157.57,161.67,163.35,154.98,160.89001,145.78998,150.90001,142.99998,141.45001,149.13998,140.48999,157.26999,145.4,158.45999,147.25,150.45999,143.94998,139.21999,140.90999,133.79,141.50998,138.51999,144.22998,148.60999,147.4,154.81999,151.19,153.57999,154.86,150.07999,155.85,150.45,152.61,155.17001,146.28,161.69,139.31,168.07,133.85,171.81,130.77,169.50998,129.25,160.75998,128.56999,150.52998,129.60999,144.41998,132.56999,142.51999,135.81999,141.66,139.47,141.8,146.26999,144.97,156.72,149.51001,167.15002,151.4,173.54001,151.04999,173.77002,153.41,167.12,160.38,155.11,166.92,141.95001,166.3,131.95001,156.98001,126.69,143.42001,124.87,132.22,124.23,127.770004,123.72,129.79001,123.56,134.31999,123.49,137.26999,123.380005,137.86,125,138.18001,130.25998,137.89,138.20999,132.88998,144.53,122.67999,144.45,113.46,138.16,110.14,131.45001,111.06,128.43,112.91,126.770004,115.22,122.08,118.1,114.13,120.32,107.1,121.81,104.54,123.96999,105.95,125.77999,109.03,124.03,112.259995,118.53999,114.11,113.399994,113.51,112.53,112.15,115.979996,113.7,120.9,119.95,125.14,128.26001,128.26001,133.62,129.16,133.25,125.7,127.8,117.70999,118.990005,107.579994,108.45,97.20999,98.7,87.969986,93.64,83.59,95.82001,87.65,102.630005,97.42,108.06,104.84999,108.72,104.729996,106.1,99.92999,104.45999,98.28,107.53,104.19,114.649994,113.55,120.28,117.97,119.55,113.94,113.68,106.729996,108.94,104.2,110.36,107.7,116.509995,112.39,121.869995,115.53,124.21,118.729996,125.399994,121.8,125.11,120.45,120.61,112.17,112.75,100.270004,105.04001,90.420006,98.29001,86.25,92.09001,88.259995,88.37001,94.009995,88.89001,100.079994,92.18,105.12999,95.96,110.189995,101.3,116.81,111.55,125.74999,125.78001,136.31,136.99,146.2,139.99,152.05,136.79001,151.05,131.66,143.33,126.07,132.40999,120.729996,123.13999,117.759995,118.61,118.14,117.43,119.68,115.19,119.2,109.8,114.899994,102.81,106.369995,95.649994,95.229996,88.68,86.03,83.810005,83.21,83.89,86.549995,88.69,91.95,94.509995,96.259995,98.28999,99.05,99.78999,100.86,100.439995,102.04,101.75,102.229996,103.46,100.17,103.05,95.170006,98.26,88.01001,89.08,79.630005,77.55,70.7,67.42,63.199997,62.7,60.739998,64.83,65.49,71.91,75.009995,80.6,84.35,88.3,91.2,94.33,96.44,99.490005,100.86,104.81,104.82,111.17,109.71,118.86,116.28,126.56,122.84,132.23,127.49999,135.32999,130.40999,136.91,132.37,138.06999,133.12999,138.71999,131.94,137.01999,128.82,130.98,124.69,121.38,120.04,111.649994,114.36,104.42,107.82,99.67,102.329994,96.61,99.99999,95.47,101.09999,96.53999,103.479996,99.01999,104.21,101.56,102.439995,103.23999,99.81999,103.81999,97.97,103.31999,97.189995,102.45,97.56,103.72,99.579994,109.36,103.26999,116.95,106.98999,120.299995,107.70999,115.829994,103.549995,105.759995,96.32,95.20999,90.58,88.38,89.91,87.28,94.770004,91.75,103.22,99.46001,112.03,107.33,117.89,113.75,119.590004,118.56,119.28,122.5,120.64,127.49,125.14,134.06999,130.77,138.94998,134.85,138.91998,136.45001,135.28,135.63,131.16,132.59,127.45,128.8,124.259995,126.88,122.88,127.34999,123.4,127.55,123.57,125.15,121.32,119.850006,115.990005,112.43001,108.880005,106.22,104.3,106.71001,106.31,115.259995,113.520004,126.17,120.68,132.93,125.18,134.52,128.67001,133.94,132.76001,133.7,136.35,134.23999,137.19,133.88,133.58,129.31,124.83,118.60999,112.380005,104.299995,99.82001,91.630005,89.759995,83.700005,82.079994,79.58,76.53999,77.34,74.39,77.31,76.25,81.020004,81.21999,88.479996,89.02,98.840004,100.259995,111.350006,113.049995,123.090004,122.28,129.98001,125.28999,132.45001,125.69,135.58,128.29999,142.22,132.93,148.9,136.13998,149.59999,136.79999,143.32999,137.22998,136.22998,139.79999,134.12,143.9,135.44,146.51999,134.98999,145.6,132.07,141.95001,129.95,137.38,128.97998,132.16,126.15999,125.68,120.74999,118.91,115.439995,114.66,113.07,115.25,114.840004,120,119.67,125.1,124.32,127.49,126.92,128.65,129.84,131.82,135.15001,136.51,139.75,138.97998,139.68,136.34999,134.94,128.51999,127.49,118.83,120.14,112.08,116.43,109.17999,116.78,106.87999,117.69,103.77999,116.200005,101.899994,112.240005,102.71001,107.86,105.17,105.6,107.02999,106.24,107.72999,109.09,109.87999,114.15001,115.48999,120.490005,121.95,124.55,124.96,124.26,123.86,121.909996,121.369995,120.399994,119.34,119.64,116.78999,117.51999,111.94,112.6,105.13,105.55,98.6,98.100006,93.25,90.880005,87.65,83.68001,81.16,77.71,76.04,75.17999,75.13,76.2,78.119995,78.5,81.64,80.89,83.81,84.75,86.61,91.09,92.28,98.28,100.119995,104.17,108.04,108.75,114.61,113.28,119.14,117.770004,121.46001,120.21,121.93,118.47,121.45,112.92,120.479996,105.869995,117.29,98.24,109.32001,89.259995,97.09,79.67,84.49,72.32,75.49,69.28999,71.84,70.56999,72.909996,75.35,77.57,82.65,85.79,90.76,96.69,97.630005,106.649994,102.21001,112.24,104.68001,113.619995,105.28001,112.729996,103.91,109.97,100.91,104.81,96.84,97.77,91.68,90.14,85.44,83,78.86,77.090004,73.25,73.17,70.66,72.08,72.71,73.46,77.49,74.93,80.25,74.26,79.19,71.98,77.54,70.979996,78.84,73.76999,83.45,80.259995,89.81,88.72,96.56,98.03,103.17,106.689995,108.9,111.579994,112.12,111.32,112.07,108.450005,109.83,105.4,106.340004,101.41,101.28,95.07001,94.22,86.71001,85.57001,77.69,76.72,69.649994,69.75,64.19,66.85,62.129997,69.579994,63.559998,76.88,67.92,83.39,72.840004,83,74.65001,75.24,71.78001,65.53,66.200005,59.129997,60.769997,56.679996,57.21,55.179996,56.77,52.78,59.49,51.469997,61.550003,52.559998,57.64,52.23,49.120003,47.71,44.55]