a = [1.25, 3.4, 1.0, 1.59, 1.08, 1.56, 1.82, 1.02, 1.61, 7.78, 1.69, 7.69, 3.74,
1.19, 1.09, 2.65, 1.07, 1.02, 2.03, 7.71, 2.49, 2.18, 20.52, 1.9, 1.75, 2.03, 2.23,
2.82, 1.24, 1.96, 1.16, 1.59, 9.72, 2.35, 1.0, 1.22, 8.52, 1.85, 1.89, 1.86,
7.74, 1.11, 1.42, 1.0, 1.87, 1.0, 1.0, 2.98, 4.69, 3.97, 1.64, 1.0, 45.98, 2.03,
1.97, 2.94, 1.91, 1.21, 10.68, 1.01, 1.25, 2.82, 3.03, 1.15, 1.08, 1.09, 9.44,
1.0, 1.18, 1.0, 1.0, 4.81, 1.0, 1.84, 1.0, 1.26, 2.28, 2.71, 2.57, 8.86, 7.06,
4.62, 1.54, 1.47, 2.42, 1.4, 2.41, 1.6, 2.33, 2.41, 1.07, 1.0, 1.58, 1.14, 2.15,
3.74, 2.96, 20.08, 5.35, 1.87, 1.75, 1.04, 28.65, 1.14, 1.68, 75.53, 1.15, 1.73,
3.32, 4.93, 2.71, 1.08, 2.28, 1.81, 41.86, 2.61, 5.73, 1.12, 7.12, 44.77, 8.03,
2.46, 2.46, 1.58, 1.38, 1.11, 1.04, 1.85, 3.65, 2.94, 7.37, 3.0, 21.96, 1.12,
1.81, 1.75, 9.02, 3.41, 1.96, 1.46, 1.01, 2.25, 1.23, 7.05, 1.92, 9.57, 1.81,
31.38, 2366.02, 1.08, 3.16, 1.38, 2.07, 6.7, 1.71, 1.95, 2.52, 1.15, 1.16, 1.87,
3.81, 4.73, 1.35, 1.22, 1.29, 1.56, 5.27, 1.58, 1.0, 1.67, 1.36, 1.98, 1.24, 3.53,
2.93, 3.48, 2.26, 1.63, 1.03, 1.84, 1.08, 1.07, 1.59, 1.42, 1.47, 1.86, 2.6, 21.31,
1.19, 1.0, 1.26, 1.88,  4.45, 3.3, 1.5, 10.98, 1.0, 1.71, 1.0, 4.11, 1.89, 5.19,
16.59, 3.45, 42.12, 6.47, 6.89, 1.57, 6.22, 38.57, 8.76, 1.99, 1.5, 8.6, 1.69, 2.09,
6.58, 1.41, 6.72, 1.23, 1.0, 2.55, 3.44, 1.38, 1.05, 1.23, 2.72, 4.24, 8.5, 1.85,
11.75, 5.69, 15.48, 1.4, 1.24, 2.05, 1.25, 1.93, 1.32, 11.24, 1.13, 2.56, 1.3,
1.45, 1.17, 2.12, 7.84, 1.33, 1.35, 1.33, 1.59, 9.18, 1.0, 2.8, 2.25, 1.21, 4.66,
3.28, 5.33, 1.52, 1.22, 2.64, 1.48, 4.45, 1.71, 2.14, 1.65, 1.46, 3.45, 37.54,
32.19, 1.04, 1.5, 1.1, 1.39, 1.15, 1.29, 1.77, 1.9, 7.46, 6.91, 1.26, 1.13, 1.04,
2.4, 6.59, 1.57, 1.0, 1.54, 2.8,  4.27, 1.28, 4.0, 12.32, 1.03, 1.18, 1.22, 1.91,
11.34, 2.76, 1.12, 1.76, 2.44, 1.0, 1.13, 6.48, 2.1, 1.03, 1.09, 12.25, 1.09,
2.76, 1.03, 1.78, 149.09, 2.18, 2.95, 4.28, 1.22, 2.96, 1.22, 1.37, 2.49, 2.2,
14.79, 1.69, 2.34, 1.38, 2.63, 8.05, 1.44, 2.99, 6.63, 1.0, 5.06, 6.35, 2.23,
3.07, 2.68, 1.15, 1.8, 1.73, 1.62, 1.07, 1.18, 1.29, 2.73, 1.29, 2.86, 1.35, 1.08,
1.45, 1.31, 2.53, 2.84, 1.86, 2.48, 1.78, 1.32, 4.53, 1.51, 2.02, 1.89, 8.46, 1.88,
77.24, 23.65, 1.0, 1.18, 44.82, 3.69, 1.36, 1.59, 6.96, 1.0, 1.48, 1.85, 1.09, 1.0,
4.93, 1.7, 22.72, 3.21, 1.02, 1.71, 1.28, 1.04, 1.65, 2.32, 1.07, 1.04, 1.0, 1.0,
49.25, 172.09, 1.03, 1.13, 1.22, 2.09, 1.12, 1.24, 22.1, 1.05, 1.56, 3.6, 4.99, 1.91,
1.26, 18.55, 1.33, 1.29, 1.0, 2.35, 3.77, 1.43, 17.93, 1.91, 1.0, 3.4, 1.08, 1.81,
9.77, 2.08, 4.94, 1.19, 1.71, 1.0, 5.18, 1.4, 2.07, 2.31, 1.32, 3.41, 1.09, 1.0,
2.53, 1.57, 66.58, 1.83, 1.33, 1.04, 8.02, 3.44, 10.35, 1.73, 2.71, 1.31, 22.93,
9.91, 2.18, 1.64,  7.53, 1.44, 1.0, 7.53, 3.12, 8.33, 1.51, 1.44, 4.13, 1.72, 3.34,
1.35, 2.83, 3.95, 1.58, 2.62, 6.22, 1.0, 1.27, 1.23, 1.75, 26.39, 1.12, 4.29, 2.22,
1.7, 1.7, 4.78, 1.21, 2.18, 1.73, 1.36, 1.92, 3.7, 1.83, 12.68, 1.0, 1.38, 2.12,
14.13, 1.99, 1.27, 1.95, 1.04, 2.33, 1.34, 1.62, 1.24, 1.0, 6.97, 1.0, 1.69, 1.21,
1.1, 1.29, 1.42, 34.99, 1.79, 1.07]

a = [1.25, 3.4, 1.0, 1.59, 1.08, 1.56, 1.82, 1.02, 1.61, 7.78, 1.69, 7.69, 3.74,
1.19, 1.09, 2.65, 1.07, 1.02, 2.03, 7.71, 2.49, 2.18, 20.52, 1.9, 1.75, 2.03, 2.23,
2.82, 1.24, 1.96, 1.16, 1.59, 9.72, 2.35, 1.0, 1.22, 8.52, 1.85, 1.89, 1.86,
7.74, 1.11, 1.42, 1.0, 1.87, 1.0, 1.0, 2.98, 4.69, 3.97, 1.64, 1.0, 45.98, 2.03,
1.97, 2.94, 1.91, 1.21, 10.68, 1.01, 1.25, 2.82, 3.03, 1.15, 1.08, 1.09, 9.44,
1.0, 1.18, 1.0, 1.0, 4.81, 1.0, 1.84, 1.0, 1.26, 2.28, 2.71, 2.57, 8.86, 7.06,
4.62, 1.54, 1.47, 2.42, 1.4, 2.41, 1.6, 2.33, 2.41, 1.07, 1.0, 1.58, 1.14, 2.15,
3.74, 2.96, 20.08, 5.35, 1.87, 1.75, 1.04, 28.65, 1.14, 1.68, 75.53, 1.15, 1.73,
3.32, 4.93, 2.71, 1.08, 2.28, 1.81, 41.86, 2.61, 5.73, 1.12, 7.12, 44.77, 8.03,
2.46, 2.46, 1.58, 1.38, 1.11, 1.04, 1.85, 3.65, 2.94, 7.37, 3.0, 21.96, 1.12,
1.81, 1.75, 9.02, 3.41, 1.96, 1.46, 1.01, 2.25, 1.23, 7.05, 1.92, 9.57, 1.81,
31.38, 2366.02, 1.08, 3.16, 1.38, 2.07, 6.7, 1.71, 1.95, 2.52, 1.15, 1.16, 1.87,
3.81, 4.73, 1.35, 1.22, 1.29, 1.56, 5.27, 1.58, 1.0, 1.67, 1.36, 1.98, 1.24, 3.53,
2.93, 3.48, 2.26, 1.63, 1.03, 1.84, 1.08, 1.07, 1.59, 1.42, 1.47, 1.86, 2.6, 21.31,
1.19, 1.0, 1.26, 1.88,  4.45, 3.3, 1.5, 10.98, 1.0, 1.71, 1.0, 4.11, 1.89, 5.19,
16.59, 3.45, 42.12, 6.47, 6.89, 1.57, 6.22, 38.57, 8.76, 1.99, 1.5, 8.6, 1.69, 2.09,
6.58, 1.41, 6.72, 1.23, 1.0, 2.55, 3.44, 1.38, 1.05, 1.23, 2.72, 4.24, 8.5, 1.85,
11.75, 5.69, 15.48, 1.4, 1.24, 2.05, 1.25, 1.93, 1.32, 11.24, 1.13, 2.56, 1.3,
1.45, 1.17, 2.12, 7.84, 1.33, 1.35, 1.33, 1.59, 9.18, 1.0, 2.8, 2.25, 1.21, 4.66,
3.28, 5.33, 1.52, 1.22, 2.64, 1.48, 4.45, 1.71, 2.14, 1.65, 1.46, 3.45, 37.54,
32.19, 1.04, 1.5, 1.1, 1.39, 1.15, 1.29, 1.77, 1.9, 7.46, 6.91, 1.26, 1.13, 1.04,
2.4, 6.59, 1.57, 1.0, 1.54, 2.8,  4.27, 1.28, 4.0, 12.32, 1.03, 1.18, 1.22, 1.91,
11.34, 2.76, 1.12, 1.76, 2.44, 1.0, 1.13, 6.48, 2.1, 1.03, 1.09, 12.25, 1.09,
2.76, 1.03, 1.78, 149.09, 2.18, 2.95, 4.28, 1.22, 2.96, 1.22, 1.37, 2.49, 2.2,
14.79, 1.69, 2.34, 1.38, 2.63, 8.05, 1.44, 2.99, 6.63, 1.0, 5.06, 6.35, 2.23,
3.07, 2.68, 1.15, 1.8, 1.73, 1.62, 1.07, 1.18, 1.29, 2.73, 1.29, 2.86, 1.35, 1.08,
1.45, 1.31, 2.53, 2.84, 1.86, 2.48, 1.78, 1.32, 4.53, 1.51, 2.02, 1.89, 8.46, 1.88,
77.24, 23.65, 1.0, 1.18, 44.82, 3.69, 1.36, 1.59, 6.96, 1.0, 1.48, 1.85, 1.09, 1.0,
4.93, 1.7, 22.72, 3.21, 1.02, 1.71, 1.28, 1.04, 1.65, 2.32, 1.07, 1.04, 1.0, 1.0,
49.25, 172.09, 1.03, 1.13, 1.22, 2.09, 1.12, 1.24, 22.1, 1.05, 1.56, 3.6, 4.99, 1.91,
1.26, 18.55, 1.33, 1.29, 1.0, 2.35, 3.77, 1.43, 17.93, 1.91, 1.0, 3.4, 1.08, 1.81,
9.77, 2.08, 4.94, 1.19, 1.71, 1.0, 5.18, 1.4, 2.07, 2.31, 1.32, 3.41, 1.09, 1.0,
2.53, 1.57, 66.58, 1.83, 1.33, 1.04, 8.02, 3.44, 10.35, 1.73, 2.71, 1.31, 22.93,
9.91, 2.18, 1.64,  7.53, 1.44, 1.0, 7.53, 3.12, 8.33, 1.51, 1.44, 4.13, 1.72, 3.34,
1.35, 2.83, 3.95, 1.58, 2.62, 6.22, 1.0, 1.27, 1.23, 1.75, 26.39, 1.12, 4.29, 2.22,
1.7, 1.7, 4.78, 1.21, 2.18, 1.73, 1.36, 1.92, 3.7, 1.83, 12.68, 1.0, 1.38, 2.12,
14.13, 1.99, 1.27, 1.95, 1.04, 2.33, 1.34, 1.62, 1.24, 1.0, 6.97, 1.0, 1.69, 1.21,
1.1, 1.29, 1.42, 34.99, 1.79, 1.07]
