testgee <-
structure(.Data = list(id = c(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
	1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 
	3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 
	4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
	5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
	6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
	7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 
	9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10,
	10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 
	11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
	12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
	12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 
	13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 
	14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
	15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 
	16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 
	17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 
	18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 
	19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 
	20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 
	21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 
	21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 
	22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 
	23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
	24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
	25, 25, 25, 25, 25, 25, 25, 25, 25, 25), x1 = c(6.51, 5.79, 6.5, 5.62, 
	5.02, 7.91, 5.95, 5.39, 5.4, 5.69, 5.86, 4.2, 5.6, 5.78, 6.46, 6.15, 
	6.09, 5.4, 5.06, 7.15, 4.98, 5.82, 5.44, 5.03, 4.17, 5.98, 5.3, 5.84, 
	5.68, 5.31, 5.58, 7.35, 6.03, 6.42, 6.17, 5.64, 5.22, 5.46, 6.94, 6.02, 
	4.37, 5.81, 5.6, 7.3, 6.44, 5.81, 4.19, 5.67, 5.96, 4.96, 5.31, 5.28, 
	4.7, 6.51, 5.49, 7.05, 5.22, 5.06, 5.33, 6.03, 5.5, 4.9, 5.11, 6.21, 
	6.81, 6.79, 5.41, 5.76, 4.35, 5.46, 6.16, 6.1, 5.28, 5.04, 6.27, 4.99, 
	5.28, 5.82, 5.13, 4.84, 5.1, 5.49, 6.57, 4.83, 6.94, 6.07, 7.13, 5.36, 
	5.9, 4.07, 6.51, 5.31, 6.25, 7.06, 6.09, 6.37, 5.54, 8.32, 6.86, 7.31, 
	6.28, 6.48, 7.89, 5.91, 5.45, 4.07, 3.96, 5.52, 6.66, 6.26, 6.44, 5.01, 
	5.24, 6.1, 6.57, 4.21, 4.75, 4.46, 5.55, 5.58, 5.23, 5.83, 5.52, 6.3, 
	6.66, 4, 5.4, 5.64, 4.68, 6.59, 4.63, 6.36, 4.87, 5.43, 5.73, 6.1, 6.04,
	6.42, 6.17, 5.12, 5.65, 7.22, 5.71, 6.4, 6.05, 5.38, 4.76, 5.25, 6.05, 
	3.64, 5.55, 4.12, 4.99, 6.39, 5.56, 7.12, 6.37, 6.3, 6.06, 5.36, 4.67, 
	5.66, 7.82, 6.16, 5.11, 5.88, 6.12, 4.36, 5.99, 5.52, 4.38, 7.03, 5.56, 
	6.52, 6.01, 6.1, 4.83, 7.4, 4.89, 7.45, 6.64, 6.33, 6.54, 4.67, 5.5, 
	6.29, 6.37, 7.36, 5.46, 6.43, 5.4, 5.91, 5.49, 4.88, 6.11, 5.08, 5.68, 
	5.49, 5.7, 5.83, 5.59, 5.82, 5.34, 3.82, 5.78, 5.93, 8.39, 6.76, 6.34, 
	6.65, 5.86, 5.06, 6.76, 5.45, 5.33, 5.55, 5.7, 5.4, 5.75, 6.1, 6.78, 
	5.89, 6.25, 6.01, 6, 4.43, 5.2, 5.3, 5.45, 5.4, 5.72, 5.82, 5.01, 7.25, 
	6.57, 6.6, 7.65, 4.87, 4.26, 6.41, 5.84, 7.11, 5.65, 6.16, 6.17, 5.73, 
	7.24, 5.31, 5.77, 6.05, 3.53, 4.35, 5.54, 6.1, 7.38, 5.92, 6.63, 6.63, 
	6.4, 5.59, 6.32, 6.19, 4.73, 4.05, 5.74, 4.81, 6.02, 4.7, 6.25, 6.31, 
	5.72, 5.69, 5.21, 5.59, 5.88, 5.39, 5.29, 5.04, 5.57, 6.34, 6.25, 6.85, 
	6.46, 6.67, 5.83, 5.39, 6.85, 5.61, 6.22, 7.04, 6.09, 6.69, 6.47, 5.32, 
	5.92, 5.71, 6.01, 6.69, 4.68, 6.69, 5.26, 6.36, 5.85, 4.2, 6.68, 5.53, 
	5.44, 5.14, 5.92, 5.36, 4.91, 6.18, 5.57, 6.78, 7.49, 7.31, 5.38, 6.72, 
	5.28, 6.1, 5.56, 4.96, 5.94, 6.02, 6.66, 5.87, 7.44, 6.09, 6.69, 3.29, 
	7.51, 4.36, 6.13, 5.96, 5.64, 6.71, 6.14, 5.43, 5.18, 7.11, 6.38, 5.26, 
	5.93, 5.51, 7.25, 5.55, 3.61, 4.99, 4.76, 4.91, 6.04, 5.97, 6.76, 6.57, 
	6.7, 5.14, 7.39, 4.14, 6.87, 7.45, 7.29, 6.65, 5.13, 5.46, 6.5, 5.97, 
	5.47, 4.83, 6.44, 5.71, 6.52, 5.77, 6.76, 5.99, 7.28, 5.68, 6.02, 6.42, 
	7.2, 3.93, 6.18, 4.86, 6.1, 6.43, 5.22, 5.25, 6.64, 6.34, 7.08, 5.32, 
	7.84, 7.03, 5.92, 3.94, 6.31, 4.45, 6.38, 5.15, 5.08, 5.12, 5.99, 4.78, 
	5.56, 4.98, 6.77, 7.06, 5.77, 5.41, 5.45, 4.88, 5.47, 6.52, 6.76, 6.96, 
	5.13, 5.66, 5.1, 5.97, 6.88, 5.36, 7.33, 7.53, 6.22, 4.58, 6.01, 6.13, 
	7.51, 5.74, 6.01, 4.21, 4.99, 6.42, 5.4, 6.49, 4.65, 5.93, 5.16, 5.77, 
	6.34, 5.62, 4.8, 6.63, 5.65, 6.59, 5.13, 4.97, 7.18, 6.14, 5.09, 6.36, 
	5.98, 6.87, 6.49, 4.83, 6.07, 5.58, 4.62, 5.44, 6.73, 4.8, 4.55, 5.17, 
	6.88, 6.41, 5.73, 5.59, 5.85, 6.49, 7.5, 4.49, 6.83, 4.8, 5.59, 6.23, 
	4.36, 5.98, 6.16, 5.53, 5.32, 7.05, 4.41, 6.54, 4.35, 7, 6.03, 5.75, 
	7.17, 6.95, 5.94, 6.37, 5.4, 5.44, 4.66, 5.48, 6.67, 7.78, 7.02, 7.81, 
	6.04, 4.74), x2 = c(5.5, 5.14, 9.52, 4.74, 11.69, 6.73, 6.62, 7.37, 
	7.51, 7.02, 9.44, 7.65, 9.74, 10.85, 7.02, 7.08, 8.1, 10.02, 7.06, 8.83,
	7.55, 9.24, 7.94, 10.1, 8.01, 8.51, 6.42, 7.97, 5.65, 8.56, 9.85, 8.03, 
	8.06, 7.88, 8.7, 7.18, 6.71, 6.49, 5.73, 8.71, 9.51, 8.66, 7.58, 7.36, 
	7.05, 7, 8.08, 5.53, 8.59, 5.44, 7.5, 8.18, 4.61, 9.11, 7.44, 5.96, 
	9.73, 8.25, 9.03, 4.86, 6.13, 7.12, 7.38, 7.89, 4.99, 6.67, 3.99, 6.52, 
	11.29, 10.33, 6.91, 8.67, 10.32, 7.66, 10.97, 6.26, 9.24, 10.63, 7.36, 
	5.22, 6.86, 8.03, 9.38, 8.06, 7.86, 8.98, 8.14, 8.72, 9.97, 5.25, 10.04,
	6.36, 7.28, 9.39, 6.47, 6.87, 6.67, 7.28, 7.67, 6.42, 7.99, 6.34, 7.69, 
	9.72, 8.33, 10.33, 7.11, 5.07, 6.95, 9.43, 8.66, 11.06, 5.34, 6.62, 
	10.79, 9.34, 7.12, 6.04, 8.63, 9.02, 10.11, 9.21, 7.06, 6.71, 10.25, 
	11.03, 7.65, 10.82, 9.73, 7.86, 9.86, 7.52, 7.27, 6.77, 8.33, 6.51, 
	6.79, 7.72, 7.58, 9.23, 8.79, 8.45, 7.61, 7.11, 8.62, 9.51, 7.86, 8.49, 
	10.83, 10.77, 8.85, 6.64, 4.74, 8.87, 7.28, 7.37, 8.68, 5.6, 7.64, 7.63,
	8.18, 9.39, 5.06, 6.58, 7.1, 8.67, 9.59, 8.05, 5.45, 4.36, 9.56, 7.16, 
	9.67, 6.38, 8.04, 7.53, 7.02, 11.06, 7.44, 6.9, 7.18, 8.54, 8.7, 7.86, 
	3.58, 7.5, 9.56, 7.55, 7.56, 7.37, 8.89, 6.62, 7.96, 8.64, 3.04, 7.98, 
	6.71, 10.85, 7.44, 9.17, 7.62, 7.18, 8.29, 11.38, 4.35, 7.98, 4.89, 
	8.97, 9.09, 6.67, 10.01, 6.04, 6.91, 5.38, 6.41, 4.97, 6.5, 9.3, 9.03, 
	7.56, 4.47, 6.31, 4.62, 11.13, 6.35, 9.71, 8.16, 9.45, 8.2, 8.4, 8.73, 
	9.61, 7.11, 4.16, 4.83, 8.7, 7.78, 4.74, 6.22, 7.43, 7.77, 7.26, 8.34, 
	6.26, 9.69, 6.9, 10.38, 5.42, 6.96, 7.04, 9.31, 7.74, 6.61, 2.79, 8.34, 
	3.94, 6.61, 4.49, 5.99, 7.24, 8.71, 7.14, 7.34, 9.68, 8.9, 6.44, 4, 
	8.83, 5.03, 8.55, 6.73, 9.99, 7.37, 8.07, 7.4, 4.31, 7.94, 7.17, 8.05, 
	5.39, 7.85, 8.51, 5.21, 8.07, 9.56, 11.2, 8.03, 7.52, 8.69, 7.65, 6.29, 
	7.34, 7.7, 9.43, 6.89, 5.85, 3.59, 8.53, 10.2, 7.27, 7.59, 7.5, 6.65, 
	8.13, 8.26, 7.04, 5.19, 10.15, 8.39, 7.82, 7.89, 5.79, 8.14, 5.09, 
	10.26, 7.5, 8.14, 8.98, 7.85, 6.68, 6.72, 6.93, 6.1, 5.23, 7.98, 8.93, 
	8.66, 8.19, 7.88, 6.75, 6.88, 8.35, 6.94, 8.31, 8.09, 6.66, 6.55, 8.5, 
	7.39, 7.19, 7.07, 6.99, 7.81, 7.78, 7.16, 6.68, 7.9, 4.33, 7.72, 5.78, 
	9.33, 8.41, 9.51, 7.31, 4.22, 5.77, 6.78, 5.08, 3.79, 8.17, 9.06, 6, 
	6.11, 5.11, 9.25, 6.82, 3.92, 7.25, 5.5, 5.26, 7.5, 8.69, 8.42, 5.79, 
	9.17, 8.4, 8.87, 7.73, 8.23, 8.43, 8.82, 9.28, 6.21, 4.72, 8.43, 5.53, 
	5.56, 9.41, 7.33, 10.74, 5.89, 4.64, 9.19, 7.62, 8.82, 5.75, 4.8, 4.42, 
	8.2, 8.97, 7.7, 6.92, 3.14, 7.08, 6.24, 7.91, 6.76, 8.2, 9.96, 9.64, 
	9.32, 4.99, 7.17, 6.79, 9.04, 5.6, 9.57, 8.12, 8.61, 4.8, 6.7, 6.66, 
	7.56, 10.3, 6.82, 7.68, 5.26, 6.9, 9.6, 6.08, 8, 6.26, 4.7, 6.77, 4.82, 
	6.99, 7.22, 8.21, 7.96, 7.58, 4.79, 7.18, 5.39, 4.25, 5.64, 7.68, 8.77, 
	6.36, 7.94, 8.37, 8.82, 4.45, 9.87, 4.9, 5.43, 7.11, 5.5, 4.1, 6.16, 
	4.88, 11.81, 6.86, 6.76, 7.3, 7.46, 9.58, 6.89, 6.93, 8.1, 6.82, 8.62, 
	4.09, 6.18, 9.12, 5.66, 7.54, 7.38, 6.64, 7.79, 11.48, 9.53, 8.28, 8.34,
	5.72, 7.42, 7.42, 8.64, 5.31, 9.32, 7.07, 4.51, 7.39, 9.17, 6.1, 7.88, 
	7.67, 6.31, 9.05, 6.9, 9.71), x3 = c(10.88, 7.94, 10.3, 11.92, 11.15, 
	10.79, 9.27, 9.68, 11.04, 8.16, 12.45, 11.9, 11.19, 9.57, 10.28, 9.68, 
	12.71, 10.74, 11.24, 10.91, 8.12, 10.56, 11.38, 11.21, 11.93, 8.6, 9.97,
	8.06, 11.46, 11.49, 9.02, 10.61, 11.42, 8.97, 11.49, 11.86, 11, 9.4, 
	11.28, 9.36, 7.97, 10.18, 10.67, 9.97, 10.28, 10.22, 10.06, 11, 9.23, 
	9.48, 11.71, 10.03, 11.88, 11.52, 11, 11.59, 11.66, 10.02, 11.22, 10.17,
	9.98, 8.64, 8.43, 7.66, 7.8, 10.25, 11.75, 10.49, 8.47, 10.72, 8.72, 
	8.96, 10.24, 8.36, 9.03, 11.92, 10.11, 11.06, 9.06, 9.69, 10.41, 10.52, 
	11.28, 8.45, 10.58, 9.44, 10.81, 6.58, 9.55, 12.33, 9.33, 9.61, 11.71, 
	11.05, 9.03, 11.04, 9.3, 11.5, 11.18, 10.88, 10.28, 10.83, 10.88, 9.14, 
	8.25, 10.6, 9.39, 11.63, 8.11, 10, 8.09, 12.05, 7.64, 10.21, 10.73, 
	11.68, 9.42, 10.55, 11.16, 8.76, 9.33, 7.17, 9.28, 11.03, 7.77, 10.41, 
	11.66, 11.39, 8.64, 12.26, 10.98, 11.61, 9.05, 8.78, 10.87, 10.08, 9.55,
	9.93, 11.18, 9.53, 12.21, 10.01, 10.47, 11.46, 9.09, 10.1, 8.74, 9.56, 
	8.8, 8.22, 9.62, 12.22, 12.31, 11.28, 12.58, 10.65, 11.31, 9.4, 9.33, 
	11.52, 11.41, 9.01, 7.76, 8.39, 9.53, 9.67, 9.24, 9.47, 11, 11.41, 
	10.38, 10.07, 12.31, 9.49, 9.82, 8.2, 11.43, 10.15, 10.52, 8.35, 9.6, 
	9.39, 10.47, 12.52, 10.58, 9.85, 10.24, 9.28, 8.55, 8.26, 8.97, 10.77, 
	9.06, 11.47, 11.41, 11.38, 11.55, 9.51, 10.1, 11.82, 10.36, 8.11, 10.87,
	10.16, 10.36, 10.83, 8.22, 9.06, 11.23, 11.58, 8.27, 12.24, 10.68, 10.1,
	8.99, 11.45, 9.41, 8.46, 9.99, 11.32, 11.51, 8.85, 12.29, 11.18, 11.51, 
	12.46, 7.06, 9.49, 9.15, 10.16, 11.42, 12.04, 9.85, 10.85, 10.78, 11.49,
	9.64, 10.85, 9.68, 10.22, 11.35, 10.7, 8.61, 8.89, 10.48, 9.98, 9.57, 
	9.96, 9.22, 10.98, 8.76, 9.51, 9.97, 8.68, 9.98, 10.04, 10.62, 8.4, 
	9.02, 12.19, 11.79, 9.01, 9.16, 12.01, 11.85, 9.54, 8.88, 10, 10.49, 
	10.52, 10.49, 9.4, 8.68, 11.07, 9.94, 10.01, 9.26, 9.37, 10.78, 7.65, 
	8.57, 10.02, 9.45, 13.3, 9.63, 8.65, 11.64, 10.16, 10.41, 10.58, 8.65, 
	10.92, 11.31, 9.23, 11.16, 9.52, 10.04, 11.56, 10.49, 7.74, 8.89, 9.81, 
	9.54, 11.66, 11.44, 9.71, 10.48, 8.53, 10.91, 10.23, 9.75, 9.92, 11.85, 
	10.47, 11.55, 8.07, 10.23, 10.87, 8.13, 9.94, 11.05, 11.63, 12.37, 9.93,
	7.41, 8.95, 9.16, 11.2, 9.48, 9.88, 12.23, 9.65, 8.12, 10.83, 9.27, 
	8.01, 9.99, 8.16, 11.06, 10.76, 9.45, 8.09, 8.15, 12.92, 9.79, 9.22, 
	10.89, 12.12, 9.25, 10.37, 8.63, 8.92, 11.96, 12.1, 9.71, 9.18, 11.18, 
	11.99, 10.94, 12.24, 10.39, 9.29, 11.16, 10.69, 9.13, 10.88, 9.72, 9.92,
	11.84, 13.17, 10.23, 10.79, 9.25, 10, 9.27, 10.57, 10.96, 9.78, 11.63, 
	8.62, 10.03, 7.55, 8.53, 8.98, 8.21, 11.89, 11.1, 11.79, 9.44, 13.47, 
	12.06, 6.28, 11.47, 9.97, 9.84, 10.04, 10.56, 9.58, 12.05, 9.69, 11.04, 
	10.99, 10.59, 8.6, 11.87, 9.05, 10.18, 12.68, 12.04, 11.6, 11.17, 11.42,
	9.01, 10.39, 9.8, 9.03, 9.67, 10.62, 11.35, 10.29, 11.92, 9.37, 12.62, 
	8.3, 9.98, 11.75, 10.17, 9.67, 9.73, 7.84, 10.03, 8.79, 10.16, 7.79, 9, 
	10, 11.59, 10.55, 11.97, 10.98, 12.09, 10.21, 9.95, 12.08, 11.15, 12.11,
	10.27, 11.16, 10.38, 9.95, 10.87, 10.79, 8.86, 9.2, 10.59, 11.76, 10.23,
	9.39, 9.39, 10.35, 12.04, 10.65, 11.29, 9.67, 10.59, 8.02, 7.14, 10.52, 
	9.8, 10.64, 9.86, 9.69, 10.36, 11.72, 10.76, 10.22, 10.51, 12.26, 10.77,
	11.19, 9.13, 9.52, 12.96, 8.5, 11.47, 12.62, 10.43, 9, 8.24, 10.01, 
	8.41, 9.13, 10.2, 9.47, 6.85, 11.28, 11.13, 8.14, 9.87, 10.83), x4 = c(
	8.15, 9.36, 10.89, 8.29, 10.84, 8.98, 4.22, 7.4, 9.65, 8.37, 11.53, 
	9.22, 10.28, 6.81, 10.96, 11.25, 5.57, 6.72, 11.19, 13.44, 7.94, 10.58, 
	7.96, 11.92, 11.05, 4.65, 6.32, 4.57, 8.68, 10.38, 10.63, 8.85, 4.21, 
	5.5, 8.98, 6.19, 10.42, 10.35, 5.94, 5.76, 11.35, 5.43, 11.86, 6.69, 
	8.79, 13.73, 8.87, 9.9, 11.97, 8.07, 9.19, 3.49, 10.37, 7.32, 12.04, 
	8.16, 5.73, 9.99, 9.34, 9.83, 5.86, 10.58, 9.21, 9.21, 8.09, 14.33, 
	7.25, 9.56, 12.78, 9.83, 11.64, 7.11, 8.96, 9.25, 5.2, 9.98, 8.49, 6.62,
	10.07, 5.23, 10.85, 10.25, 8.82, 10.37, 8.34, 7.41, 6.32, 9.53, 8.82, 
	10.48, 10.84, 8.04, 5.65, 6.62, 8.79, 12.95, 10.82, 9.93, 12.14, 6.55, 
	9.95, 9.45, 6.59, 8.35, 9.46, 12.34, 6.78, 8.78, 10.06, 7.67, 7.85, 
	10.2, 12.04, 5.32, 6.95, 11.87, 6.59, 8.85, 8.4, 11.51, 8.32, 6.91, 
	9.74, 10.85, 6.82, 9.72, 12.04, 8.88, 13.81, 10.28, 8.53, 10.43, 10.18, 
	8.78, 8.57, 13.35, 8.99, 13.35, 6.31, 8.54, 10.16, 9.03, 10.29, 8.57, 
	8.58, 9.21, 14.93, 5.69, 11.38, 9.92, 11.39, 7.09, 16.35, 8.22, 10.28, 
	10.61, 14.08, 10.18, 5.08, 8.74, 12.42, 12.72, 11.18, 11.42, 12.01, 
	6.62, 9.41, 7.23, 6.8, 8.88, 7.97, 9.58, 8.94, 6.75, 13.42, 7.65, 6.8, 
	11.7, 5.16, 10.81, 13.47, 9.19, 8.6, 4.73, 6, 7.02, 7.86, 5.53, 8.21, 
	7.15, 12.17, 15.99, 12.02, 7.59, 10.84, 10.81, 7.66, 12.5, 10.94, 9.43, 
	9.38, 12.62, 7.02, 8.14, 5.14, 10.29, 8.47, 10.7, 11.79, 5.88, 8.82, 
	7.94, 7.3, 9.96, 3.61, 6.53, 9.7, 10.26, 9.88, 6, 7.35, 8.77, 8.85, 
	7.33, 9.61, 8.91, 6.83, 8.31, 9.73, 7.73, 9.55, 8.86, 3.27, 8.46, 9.72, 
	10.64, 8.58, 8.68, 13.4, 9.15, 13.64, 9.83, 7.48, 7.96, 7.67, 7.82, 
	8.83, 9.44, 12.65, 8.31, 7.5, 11.54, 10.16, 11.19, 8.08, 9.04, 10.81, 
	10.91, 9.26, 8.98, 5.12, 10.63, 9.26, 5.42, 7.92, 10, 3.83, 10.15, 8.74,
	5.48, 10.85, 10.67, 8.12, 11.43, 9.09, 7.34, 7.28, 10.85, 6.42, 9.18, 
	8.49, 6.36, 9.09, 12.91, 8, 7.37, 4.83, 8.45, 8.46, 7.94, 11.21, 8.91, 
	6.07, 11.44, 7.88, 8.51, 5.62, 8.04, 3.87, 11.42, 5.74, 11.98, 5.51, 
	8.75, 5.97, 9.19, 8.22, 9.72, 9.53, 8.91, 15.94, 10.34, 9.55, 8.81, 
	10.99, 8.24, 11.33, 11.23, 13.35, 10.7, 5.97, 11.52, 9.35, 12.12, 13.09,
	5.27, 9.28, 11.86, 8.56, 10.3, 3.96, 9.92, 4.34, 6.57, 6.52, 3.81, 
	10.29, 4.83, 13.44, 6.48, 6.03, 7.89, 6.73, 6.84, 9.23, 6.55, 10.64, 
	11.27, 7.02, 4.48, 14.72, 9.03, 14.31, 7, 11, 12.14, 10.24, 11.2, 10.13,
	7.1, 8.29, 10.63, 6.14, 7.57, 10.94, 6.59, 9.27, 11.29, 15.52, 8.36, 
	13.02, 9.01, 6.92, 7.5, 9.22, 7.9, 6.95, 8.94, 9.38, 8.35, 12.6, 12.29, 
	9.64, 5.98, 9.52, 6.13, 11.53, 8.69, 7.41, 9.86, 6.43, 7.31, 13.57, 
	6.67, 6.39, 9.97, 5.46, 13.26, 10.07, 5.19, 8.75, 13.15, 7.15, 9.04, 
	8.98, 8.81, 14.72, 13.15, 8.3, 10.46, 5.09, 9.57, 7.19, 11.52, 9.48, 
	5.3, 9.27, 9.78, 11.21, 10.22, 11.48, 10.24, 11, 11.47, 6.46, 8.28, 
	5.85, 4.55, 9.74, 9.05, 6.24, 7.03, 10.44, 7.99, 8.85, 8.92, 11.1, 
	12.57, 12.77, 8.65, 10.03, 4.1, 7.08, 9.56, 6.88, 11.05, 11.91, 10.73, 
	8.45, 11.7, 10.53, 6.76, 9.59, 13.32, 11.67, 10.59, 8.82, 8.68, 10.56, 
	11.37, 8.14, 9.36, 6.1, 8.51, 9.92, 6.43, 12.38, 11.18, 8.01, 7.79, 
	9.26, 13.95, 10.43, 15.48, 9.1, 13.97, 7.46, 7.4, 12.23, 8.65, 12.99, 
	9.33, 10.99, 5.86, 9.83, 9.61, 7.66, 13.07, 11.46, 7.4, 6.61, 11.64, 
	10.53, 14.33, 8.59, 8.16, 7.93, 13.43, 11.09, 7.43), gsind = c(12.7486, 
	16.0917, 23.1507, 10.1253, 31.0258, 18.9569, 10.7906, 15.1091, 19.7495, 
	20.1042, 23.7864, 15.7544, 26.1592, 21.0509, 18.2019, 23.5453, 14.1164, 
	24.506, 20.003, 24.5678, 20.4092, 23.9136, 19.4152, 27.1123, 19.1262, 
	14.8139, 11.967, 14.5825, 10.9858, 22.9799, 28.7852, 20.9501, 9.0616, 
	15.4275, 20.5906, 12.6231, 18.8607, 19.5489, 10.2297, 19.3459, 25.687, 
	16.7869, 22.6276, 15.7675, 13.9956, 25.8894, 19.4243, 12.8368, 28.2018, 
	12.535, 16.5173, 12.0416, 13.5062, 21.5692, 20.4491, 14.6755, 14.679, 
	21.0024, 19.3102, 13.8611, 7.1293, 20.3299, 22.2865, 22.7912, 14.9687, 
	24.522, 7.8248, 19.317, 34.6778, 27.9852, 24.647, 18.874, 27.0272, 
	22.2108, 22.953, 18.1317, 22.5078, 25.0576, 19.0843, 7.6931, 19.4176, 
	22.9808, 22.6833, 25.6808, 16.58, 18.4109, 15.3265, 26.5431, 26.0072, 
	12.2211, 27.2765, 15.8283, 13.0942, 15.2883, 19.8938, 23.9748, 18.9954, 
	18.5346, 21.9446, 12.5569, 22.0334, 14.7064, 16.3798, 23.9, 29.5028, 
	29.5253, 15.2212, 11.2884, 23.9889, 22.1614, 26.3226, 26.1634, 21.5029, 
	13.5344, 22.6753, 26.4306, 15.5057, 14.0679, 18.3155, 25.2832, 19.8474, 
	21.8364, 20.0882, 19.5819, 26.128, 28.4344, 21.155, 25.8587, 31.896, 
	17.8153, 23.6668, 17.8477, 22.9517, 19.5586, 18.1881, 21.4773, 19.8668, 
	25.9088, 14.1154, 22.4847, 25.0065, 19.7364, 19.9378, 18.2413, 21.1259, 
	24.2389, 26.8654, 18.0848, 31.8189, 31.2263, 27.2109, 13.2559, 22.8186, 
	18.6993, 16.1739, 20.1277, 30.1602, 16.5315, 10.6839, 14.9835, 26.1788, 
	30.4024, 21.5225, 18.6587, 23.1875, 18.2453, 26.7329, 16.299, 9.6155, 
	11.8032, 20.243, 19.0314, 20.2858, 13.5362, 26.749, 15.2381, 13.739, 
	32.2182, 16.1917, 23.7593, 27.0596, 26.4023, 18.595, 13.0867, 5.8452, 
	16.5698, 23.6296, 12.2129, 18.3058, 16.418, 28.5978, 27.4641, 26.3865, 
	16.3968, 10.1123, 22.9185, 14.1404, 33.313, 22.2114, 22.0453, 18.8171, 
	27.5581, 18.0225, 26.9062, 1.7074, 19.6234, 12.8987, 23.8117, 24.081, 
	8.7607, 28.3594, 12.6577, 12.9113, 15.2214, 11.938, 10.0195, 19.9577, 
	28.0495, 24.9874, 11.6063, 5.9616, 19.7857, 7.3425, 24.7391, 13.3034, 
	24.7628, 21.7602, 27.3136, 23.3263, 20.0408, 17.8869, 22.7925, 12.4408, 
	9.1292, 12.4074, 22.8685, 23.3499, 9.7119, 22.4842, 18.6163, 23.5837, 
	19.3903, 19.1875, 15.0275, 22.0135, 16.0341, 24.5798, 12.7823, 25.9646, 
	16.3624, 21.3062, 23.6177, 18.3606, 10.0184, 18.3492, 12.4101, 16.7381, 
	17.5567, 17.8604, 16.6377, 13.3262, 22.441, 19.2721, 17.2475, 17.8261, 
	21.2385, 6.0329, 24.2062, 10.5107, 14.5307, 17.9242, 28.2659, 20.6861, 
	23.8017, 20.6567, 11.9575, 19.3638, 21.9738, 15.8798, 17.0007, 21.3248, 
	18.9966, 12.491, 21.1425, 23.075, 27.0038, 10.3327, 16.6436, 18.8661, 
	16.8221, 22.2297, 13.6227, 12.7368, 28.609, 15.6146, 13.6221, 4.1211, 
	19.1194, 17.3293, 24.1955, 19.3472, 23.5841, 10.1101, 17.4938, 12.8573, 
	19.6349, 11.2475, 28.0906, 20.6527, 18.7668, 30.9768, 14.9534, 15.8564, 
	11.846, 26.8626, 22.7107, 23.6037, 25.0209, 32.856, 21.7115, 13.981, 
	21.2474, 16.3839, 19.7439, 27.6113, 20.3248, 24.109, 23.9297, 20.7815, 
	18.7582, 8.4491, 24.5351, 13.6821, 17.6317, 18.966, 11.426, 19.0825, 
	20.3812, 27.1967, 12.3672, 16.2019, 21.1391, 14.9459, 13.0785, 17.822, 
	17.9828, 20.2828, 10.9798, 18.4058, 12.2515, 31.7237, 23.8641, 31.0336, 
	13.8685, 15.8543, 18.7098, 20.9644, 12.0814, 11.5727, 18.3766, 22.7873, 
	19.7542, 7.8805, 9.257, 24.559, 12.2334, 11.6512, 21.3935, 20.9949, 
	11.4729, 24.2273, 19.1683, 18.417, 12.4827, 25.6068, 16.6291, 16.4194, 
	17.5633, 19.6512, 22.4151, 26.2079, 30.242, 19.4057, 9.1604, 23.1861, 
	10.4534, 19.1577, 20.4863, 17.6042, 22.6951, 8.5845, 15.5573, 26.3478, 
	17.1875, 18.9617, 16.123, 7.3974, 19.5377, 20.1901, 17.3221, 15.641, 
	23.4281, 3.0472, 19.5827, 13.2701, 20.8612, 24.3645, 22.6339, 18.8706, 
	21.711, 16.2132, 12.5224, 16.7523, 20.0366, 20.8553, 11.3477, 23.7927, 
	20.6488, 24.3405, 15.7786, 18.5693, 18.8994, 17.362, 31.4344, 11.7502, 
	17.43, 10.334, 13.3166, 23.9533, 14.769, 21.1427, 16.1826, 14.2015, 
	18.4549, 13.9901, 16.117, 18.2081, 26.6566, 22.551, 16.5093, 13.1614, 
	9.6691, 11.9295, 10.8405, 13.0419, 21.3079, 23.1361, 15.119, 19.9801, 
	28.8694, 24.7045, 5.5714, 26.8103, 22.2138, 21.2884, 17.2, 14.4973, 
	13.0317, 21.0066, 14.2485, 27.2534, 18.8371, 13.924, 18.7029, 22.3978, 
	20.7232, 26.0924, 18.9022, 20.961, 15.9312, 24.949, 20.1194, 15.1662, 
	30.5949, 12.7177, 24.8721, 17.8501, 14.2831, 22.9439, 26.0541, 29.6643, 
	20.8722, 21.6154, 16.1821, 20.4042, 17.8289, 19.2288, 19.9803, 27.8261, 
	17.3724, 12.0401, 24.1888, 23.8428, 26.6805, 22.5788, 17.5812, 13.864, 
	33.4805, 21.7478, 20.3589), gs = c(13.331, 38.2959, 58.0373, 27.0939, 
	38.1073, 62.3312, 19.4367, 42.7934, 20.361, 47.1955, 77.2897, 47.4412, 
	54.4599, 63.3644, 35.9001, 54.2558, 42.8013, 73.1339, 56.3624, 63.6888, 
	22.2223, 67.3002, 54.4229, 55.9647, 40.0618, 48.8777, 17.851, 25.4836, 
	17.5909, 58.1542, 50.1319, 36.574, 10.4197, 33.6922, 26.052, 37.2157, 
	58.7821, 32.1652, 27.4381, 51.1408, 28.9383, 21.115, 31.0977, 38.7466, 
	25.6598, 72.349, 47.5117, 22.5778, 62.4045, 21.47, 35.9251, 14.1134, 
	27.7372, 59.4417, 23.7734, 40.9578, 46.1426, 42.5664, 62.6063, 36.4888, 
	9.3627, 42.2409, 66.0439, 56.2882, 22.4937, 78.0202, 24.1253, 19.5454, 
	63.1169, 73.8027, 32.1655, 20.6566, 53.7745, 50.2643, 65.0508, 21.888, 
	30.0034, 68.875, 36.2159, 13.0985, 21.809, 73.774, 69.9364, 67.7052, 
	23.0421, 48.8737, 25.4875, 28.0336, 64.2495, 14.3594, 58.9796, 17.0962, 
	33.5711, 41.9866, 63.2956, 29.1078, 32.7946, 58.8333, 67.7832, 17.4151, 
	22.1713, 36.7639, 27.7774, 44.5788, 85.9849, 61.7877, 38.3713, 19.0374, 
	34.5609, 53.0567, 56.9388, 67.5037, 52.0171, 36.5034, 57.2052, 73.0334, 
	37.7342, 17.744, 43.034, 68.7155, 20.5465, 47.1011, 45.1236, 36.0424, 
	67.6559, 91.4582, 49.9612, 59.0404, 101.6792, 22.9443, 40.0618, 43.3975,
	47.2771, 29.1141, 33.1918, 57.3211, 61.9192, 66.5974, 38.5048, 51.8605, 
	27.9902, 56.9455, 28.2453, 29.5599, 43.7451, 63.4647, 28.3639, 38.6755, 
	38.6, 71.4789, 44.8469, 42.7717, 73.5319, 51.298, 30.0498, 28.7894, 
	74.1117, 48.2621, 27.1049, 43.6879, 26.1879, 67.3274, 62.0961, 35.8603, 
	26.484, 50.3076, 61.5769, 35.29, 18.3778, 17.0299, 32.1673, 48.198, 
	37.6499, 41.2707, 74.7264, 25.1081, 17.6008, 67.7878, 45.2387, 50.7196, 
	27.4796, 43.6815, 38.1562, 41.5752, 19.1286, 50.3268, 26.5572, 23.3763, 
	50.124, 49.1488, 55.9182, 55.9591, 54.7398, 42.8648, 32.4974, 56.2906, 
	16.2855, 64.4606, 69.2968, 50.7128, 19.7023, 90.4612, 47.5283, 75.8518, 
	4.2326, 52.8194, 33.67, 56.4836, 66.0778, 18.6208, 32.3531, 32.305, 
	36.924, 44.2018, 29.9927, 24.0912, 46.5324, 90.5178, 27.8595, 16.1715, 
	8.1331, 24.6451, 17.7497, 36.0455, 25.6401, 59.0025, 49.2067, 80.6379, 
	25.5971, 66.0079, 56.3122, 47.3417, 21.9334, 16.1898, 29.3392, 73.3715, 
	71.6341, 23.6399, 48.4334, 32.9987, 23.756, 33.1895, 50.5038, 42.415, 
	51.2383, 17.452, 42.6463, 31.2625, 40.6278, 31.7591, 34.0013, 54.6604, 
	47.32, 20.6585, 25.0451, 38.0151, 47.1826, 24.3019, 41.6631, 16.827, 
	14.4746, 30.9558, 60.9644, 53.5544, 22.7483, 39.5512, 14.5266, 71.545, 
	24.4495, 43.761, 50.4548, 58.8425, 40.7327, 52.7421, 58.4777, 32.9296, 
	23.2492, 72.1102, 27.0423, 27.7989, 21.391, 50.9608, 24.8825, 56.0332, 
	32.2768, 62.4501, 31.2096, 40.5428, 34.853, 50.798, 43.7017, 37.9093, 
	21.304, 49.9856, 41.0512, 31.2697, 4.3375, 28.468, 41.7424, 41.8823, 
	20.8476, 76.9562, 17.8294, 53.2211, 41.9694, 48.3353, 29.6758, 72.0819, 
	60.6546, 36.894, 57.1167, 29.138, 42.9944, 21.7601, 50.874, 58.0939, 
	25.1461, 51.7929, 100.6789, 62.2358, 14.0719, 43.8394, 44.8167, 53.7919,
	36.7186, 34.2413, 27.9093, 63.1046, 46.5329, 56.4507, 16.1296, 59.0537, 
	36.5147, 51.8341, 52.0163, 24.038, 61.4125, 31.0327, 80.8641, 17.9049, 
	16.6875, 35.4907, 29.5572, 34.0923, 20.6142, 20.8316, 20.4874, 32.5082, 
	53.8266, 25.4892, 78.2338, 37.7257, 93.1192, 32.3535, 50.92, 44.6754, 
	60.2365, 30.3144, 29.5336, 19.0777, 24.6866, 49.6681, 17.2319, 27.1156, 
	68.3794, 24.9423, 14.5974, 64.1683, 38.9804, 22.1513, 26.2893, 36.5707, 
	34.4832, 39.0632, 72.8505, 22.9859, 24.5787, 21.175, 24.8163, 39.0601, 
	26.6683, 41.7474, 58.6211, 24.6033, 42.9033, 28.4336, 44.0574, 66.8656, 
	24.818, 61.4596, 26.7145, 40.0109, 66.3077, 37.5847, 39.3708, 16.535, 
	7.5857, 22.1838, 23.0006, 19.1669, 17.56, 42.486, 4.5173, 29.31, 
	33.7853, 53.2503, 62.6526, 40.2162, 27.9628, 46.6797, 18.275, 35.4258, 
	23.3633, 35.8938, 48.5243, 30.5173, 60.3304, 66.6189, 44.3019, 32.167, 
	19.0626, 45.4617, 25.1618, 39.3223, 32.8114, 30.9711, 31.9131, 21.3215, 
	52.0275, 37.4443, 57.161, 35.1758, 42.1535, 60.5707, 23.6515, 51.2295, 
	47.1465, 60.4556, 31.0105, 19.9325, 13.9604, 24.5196, 23.8792, 30.8363, 
	38.2846, 59.1495, 40.3304, 21.3746, 31.4765, 70.5176, 46.537, 6.9723, 
	69.6051, 34.1714, 60.7, 25.5905, 47.6184, 35.97, 41.1773, 39.4866, 
	27.2777, 52.7579, 30.7871, 45.1793, 60.3041, 36.4217, 41.1332, 47.5206, 
	40.4645, 18.8891, 27.6893, 49.6794, 32.132, 69.0409, 21.7652, 55.7033, 
	30.9356, 25.4129, 56.2675, 76.4604, 30.2068, 57.9954, 62.7815, 43.9835, 
	58.0816, 43.5894, 53.1245, 47.5515, 51.0022, 31.7615, 28.0936, 78.6489, 
	27.2061, 50.3383, 26.4995, 46.5132, 23.8955, 63.9197, 62.9146, 48.0041),
	lgind = c(0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1,
	0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
	0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
	0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 
	0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 
	0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
	0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
	0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
	0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 
	1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 
	0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 
	0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 
	0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
	0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 
	0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
	1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 
	0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 
	0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 
	1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
	0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 
	1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0), 
	lg = c(1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1,
	1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 
	0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
	1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 
	1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 
	0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
	0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 
	1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
	0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 
	1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 
	0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 
	1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 
	0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 
	1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 
	1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 
	1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 
	1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 
	1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 
	0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 
	0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 
	1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1), lg1
	 = c(8, 9, 4, 11, 7, 12, 18, 6, 3, 12, 2, 7, 6, 14, 7, 9, 5, 5, 2, 3, 1,
	7, 1, 7, 1, 4, 10, 11, 13, 4, 1, 5, 17, 2, 1, 17, 1, 3, 14, 1, 12, 1, 9,
	3, 1, 2, 7, 10, 3, 6, 4, 11, 1, 6, 6, 11, 1, 10, 7, 16, 19, 3, 8, 4, 11,
	1, 1, 2, 5, 1, 10, 3, 9, 1, 17, 3, 4, 1, 11, 7, 7, 2, 6, 7, 3, 11, 11, 
	13, 4, 1, 6, 7, 3, 7, 4, 5, 13, 9, 5, 1, 7, 1, 1, 7, 3, 6, 1, 3, 4, 8, 
	8, 2, 12, 14, 2, 2, 10, 2, 4, 5, 3, 19, 1, 3, 9, 4, 9, 2, 8, 1, 2, 8, 8,
	17, 1, 2, 14, 4, 8, 6, 8, 13, 5, 7, 2, 5, 9, 4, 1, 4, 3, 2, 1, 12, 9, 1,
	3, 14, 12, 1, 1, 1, 14, 9, 7, 18, 1, 9, 11, 20, 6, 4, 9, 9, 3, 9, 5, 5, 
	11, 1, 1, 9, 1, 7, 3, 3, 1, 15, 7, 1, 1, 8, 11, 1, 1, 7, 16, 6, 4, 3, 1,
	4, 7, 1, 12, 5, 4, 1, 6, 9, 7, 6, 6, 4, 1, 7, 12, 5, 2, 5, 7, 9, 3, 3, 
	3, 5, 7, 8, 8, 2, 12, 8, 13, 2, 7, 1, 18, 6, 2, 13, 4, 1, 6, 5, 5, 12, 
	1, 5, 1, 8, 3, 5, 2, 7, 3, 16, 2, 6, 1, 7, 8, 6, 3, 6, 8, 17, 14, 2, 8, 
	7, 3, 4, 9, 5, 9, 12, 4, 8, 7, 11, 6, 12, 9, 1, 8, 6, 2, 3, 4, 5, 11, 
	10, 2, 2, 16, 9, 20, 1, 12, 2, 17, 2, 14, 7, 4, 6, 12, 5, 2, 9, 1, 3, 1,
	4, 5, 2, 9, 5, 5, 2, 1, 8, 5, 2, 5, 4, 2, 3, 6, 3, 4, 4, 11, 1, 14, 14, 
	3, 5, 1, 2, 9, 3, 5, 11, 9, 12, 3, 2, 3, 6, 1, 5, 3, 8, 14, 7, 4, 6, 16,
	2, 5, 15, 6, 13, 1, 2, 1, 3, 5, 7, 3, 1, 2, 10, 2, 4, 6, 1, 6, 1, 2, 4, 
	4, 8, 3, 7, 2, 6, 18, 1, 9, 1, 6, 7, 8, 18, 3, 4, 9, 1, 3, 1, 18, 3, 3, 
	6, 5, 2, 9, 5, 5, 7, 2, 3, 4, 3, 1, 3, 7, 14, 4, 10, 2, 4, 6, 3, 3, 4, 
	2, 1, 7, 2, 4, 7, 6, 8, 1, 3, 6, 5, 7, 11, 5, 10, 11, 4, 6, 2, 1, 6, 3, 
	17, 4, 12, 4, 1, 7, 1, 5, 8, 1, 6, 1, 3, 1, 5, 4, 3, 3, 8, 2, 1, 12, 1, 
	1, 5, 10, 1, 4, 5, 3, 8, 6, 8, 2, 3, 3, 8, 6, 4, 11, 2, 9, 3, 17, 1, 6, 
	3, 8, 9), nn = c(15, 18, 20, 12, 16, 18, 19, 8, 13, 13, 17, 17, 12, 21, 
	8, 11, 8, 8, 3, 16, 5, 10, 4, 19, 3, 5, 20, 18, 16, 14, 2, 19, 18, 7, 4,
	20, 9, 11, 21, 2, 21, 3, 17, 4, 12, 8, 10, 14, 20, 7, 6, 12, 4, 16, 10, 
	20, 1, 15, 18, 17, 20, 4, 19, 5, 12, 3, 2, 7, 11, 3, 16, 15, 16, 3, 20, 
	11, 11, 1, 13, 14, 17, 10, 13, 8, 8, 15, 20, 14, 12, 2, 18, 12, 8, 20, 
	5, 9, 18, 15, 10, 2, 14, 2, 4, 18, 5, 18, 5, 4, 6, 20, 14, 9, 13, 21, 
	18, 5, 11, 4, 10, 11, 6, 20, 7, 7, 19, 13, 18, 4, 16, 4, 6, 15, 12, 18, 
	1, 19, 16, 13, 10, 11, 18, 20, 16, 13, 5, 19, 17, 5, 7, 11, 4, 7, 1, 18,
	14, 2, 7, 15, 17, 1, 8, 10, 15, 14, 20, 21, 4, 16, 13, 21, 12, 11, 21, 
	10, 5, 10, 7, 11, 15, 2, 4, 17, 1, 15, 4, 9, 6, 21, 15, 1, 6, 19, 20, 2,
	2, 20, 19, 16, 6, 11, 2, 15, 14, 9, 13, 19, 5, 1, 13, 19, 17, 9, 11, 6, 
	1, 15, 15, 17, 5, 9, 12, 10, 8, 8, 12, 8, 9, 13, 11, 4, 21, 20, 14, 5, 
	8, 2, 20, 9, 8, 18, 17, 1, 7, 6, 19, 13, 5, 16, 1, 9, 5, 12, 3, 8, 16, 
	17, 14, 14, 2, 11, 16, 16, 4, 12, 9, 18, 15, 6, 20, 11, 11, 11, 16, 8, 
	18, 13, 8, 20, 12, 16, 10, 14, 10, 9, 12, 11, 3, 5, 18, 7, 13, 13, 4, 6,
	20, 20, 21, 3, 19, 3, 18, 5, 18, 15, 6, 9, 13, 17, 3, 18, 5, 6, 5, 6, 
	19, 3, 19, 13, 10, 9, 1, 12, 8, 8, 16, 10, 4, 12, 14, 7, 6, 7, 12, 5, 
	15, 15, 4, 6, 2, 3, 15, 4, 15, 16, 19, 13, 7, 3, 7, 7, 7, 10, 7, 12, 15,
	21, 8, 8, 17, 5, 19, 21, 14, 14, 12, 5, 2, 7, 12, 10, 12, 1, 3, 14, 5, 
	6, 12, 2, 18, 2, 10, 8, 11, 9, 9, 8, 8, 10, 19, 7, 12, 7, 21, 8, 15, 19,
	4, 17, 15, 2, 9, 6, 19, 6, 6, 19, 9, 15, 15, 7, 9, 8, 6, 8, 16, 5, 4, 4,
	12, 15, 9, 17, 8, 5, 7, 16, 4, 7, 17, 2, 10, 3, 21, 8, 7, 9, 4, 10, 11, 
	18, 15, 12, 14, 14, 15, 10, 18, 4, 4, 16, 16, 18, 7, 16, 8, 3, 18, 2, 9,
	13, 9, 11, 5, 4, 4, 6, 7, 4, 8, 9, 4, 2, 21, 7, 2, 12, 16, 3, 9, 17, 9, 
	13, 16, 9, 7, 5, 10, 10, 12, 5, 12, 3, 20, 14, 18, 2, 7, 8, 19, 15)), 
	row.names = c("1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", 
	"12", "13", "14", "15", "16", "17", "18", "19", "20", "21", "22", "23", 
	"24", "25", "26", "27", "28", "29", "30", "31", "32", "33", "34", "35", 
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	"487", "488", "489", "490", "491", "492", "493", "494", "495", "496", 
	"497", "498", "499", "500"), class = "data.frame")