Sample Means CBD

Sample Means CBD - DISTRIBUTION OF THE SAMPLE MEAN for a...

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Unformatted text preview: DISTRIBUTION OF THE SAMPLE MEAN for a FINITE RANDOM VARIABLE Let X be the finite random variable which can assume only the values 0 or 1, with P(X = 0) = P(X = 1) = 0.5. Let M be the finite random variable which gives the sample mean for a sample of size n from X, and let S be the standardization of M. We are eventually interested in the distribution of S for large values of n. Since S can assume n + 1 values, we will treat S as a continuous random variable. Enter an integer between 1 and 30 as a value for n, in Cell C27, then press F9. Excel will pick 1,000 random samples, of size n each, from X. The parameters E(M) and V(M), and the statistics of mean and variance for the set of 1,000 observations of M will all be displayed. The 1,000 observations of M are used to approximate a plot of the p.m.f. of M, and a plot of the p.d.f. of S. Pressing F9 will select a new sample and redisplay all data. Sample Size n 6 0.6 0.4 p.m.f. 0.2 0.0 0.0 Parameters For M E(M) V (M ) 0.5000 0.0417 Sample Statistics For 1,000 Sample Means Mean Variance 0.4917 0.0406 STANDARDIZED SAMPLE MEAN 0.5 SAMPLE MEAN 0.4 0.3 p.d.f. 0.2 0.1 0.0 0.2 0.4 0.6 sample mean 0.8 1.0 -4 -3 -2 -1 0 1 sample mean 2 3 4 Approximate p.m.f. of M Approximate p.d.f. of S Calculus for Business Decisions Release 2.1, 2010 Published and Distributed by The Mathematical Association of America © 2010 by The Arizona Board of Regents for The University of Arizona. All rights reserved. Computation of this file requires that the add-ins Analysis ToolPak and Analysis ToolPak - VBA be enabled. D SAMPLE MEAN -1 0 1 mple mean 2 3 4 .d.f. of S 1000 samples of X, where P(X=0)=.5 and P(X=1)=.5 n Theory mean variance Sample mean Variance 6 0.5 0.04 0.49 0.04 # of 1's 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 mean 0 0.17 0.33 0.5 0.67 0.83 1 1 1 1 1 1 1 1 1 1 plot 0.02 0.09 0.25 0.34 0.21 0.08 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 stand adj plot rel freq Adj freq -2.45 0.02 0.02 0.02 -1.63 0.11 0.09 0.11 -0.82 0.3 0.25 0.3 0 0.42 0.34 0.42 0.82 0.25 0.21 0.25 1.63 0.1 0.08 0.1 2.45 0.02 0.02 0.02 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 2.45 0.02 0 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 2.45 sum 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0.02 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 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0.5 0.5 0.5 0.67 0.33 0.33 0.67 0.5 0.5 0.83 0.5 0.33 0.67 0.5 0.67 0.67 0.5 0.5 0.5 0.17 0.33 0.5 0.5 0.33 0.33 0.67 0.33 0.67 0.83 0.33 0.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.5 0.17 0.67 0.67 0.33 0.5 1 0.5 0.67 0.5 0.5 0.67 0.5 0.67 0.5 0.67 0.5 0.33 0.5 0.5 0.5 0.67 0.33 0.5 0.83 0.17 0.17 0.5 0 0.33 0.5 0 0.5 0.5 0.17 0.67 0.5 0.67 0.67 0.33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.5 0.5 0.33 0.33 0.5 0.67 0.5 0.33 0.17 0.5 0.83 0.67 0.5 0.5 0.5 0.67 0.67 0.5 0.33 1 0.5 0.67 0.67 0.33 0.67 0.5 0.33 0.5 0.5 0.5 0.5 0.83 0.17 0.5 0.67 0.5 0.67 0.67 0.5 0.33 0.17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.67 0.83 0.83 0.5 0.5 0.33 0.67 0.5 0.33 0.5 0.5 0.67 0.67 0.5 0.5 0.67 0.5 0.83 0.5 0.17 0.5 0.83 0.33 0.33 0.33 0.5 0.33 0.67 0.5 0.33 0.5 0.83 0.33 DISTRIBUTION OF THE SAMPLE MEAN for a CONTINUOUS RANDOM VARIABLE Let Y be the continuous random variable which is uniform on the interval [0, 10]. Let K be the continuous random variable which gives the sample mean for a sample of size n from Y, and let T be the standardization of K. Enter an integer between 1 and 30 as a value for n, in Cell C24, then press F9. Excel will pick 1,000 random samples, of size n each, from Y. The parameters E(K) and V(K), and the statistics of mean and variance for the set of 1,000 observations of K will all be displayed. The 1,000 observations of K are used to approximate a plot of the p.d.f. of K, and a plot of the p.d.f. of T. Pressing F9 will select a new sample and redisplay all data. Sample Statistics For 1,000 Sample Means Mean Variance 5.020 1.441 STANDARDIZED SAMPLE MEAN 0.5 0.4 0.3 p.d.f. 0.2 0.1 0 1 2 3 4 5 6 7 8 9 10 sample mean 0 -4 -3 -2 -1 0 1 sample mean 2 3 4 Sample Size n 6 1.0 0.8 0.6 p.d.f. 0.4 0.2 0.0 Parameters For K E (K ) V(K) 5.000 1.389 SAMPLE MEAN Approximate p.d.f. of K Approximate p.d.f. of T MEAN 2 3 4 1000 sample of random variable Y, where Y is continuous, uniform on [0, 10]. n 6 Cumulative midpoint plot 0 0.16667 0 0.50000 0 0.83333 0 1.16667 0 1.50000 3 1.83333 12 2.16667 25 2.50000 48 2.83333 83 3.16667 138 3.50000 203 3.83333 284 4.16667 398 4.50000 501 4.83333 595 5.16667 699 5.50000 776 5.83333 856 6.16667 919 6.50000 Theory mean variance Sample 5 1.39 stand 0 0 0 0 0 0.01 0.03 0.04 0.07 0.11 0.17 0.2 0.24 0.34 0.31 0.28 0.31 0.23 0.24 0.19 -4.1 -3.82 -3.54 -3.25 -2.97 -2.69 -2.4 -2.12 -1.84 -1.56 -1.27 -0.99 -0.71 -0.42 -0.14 0.14 0.42 0.71 0.99 1.27 adj plot 0 0 0 0 0 0.01 0.03 0.05 0.08 0.12 0.19 0.23 0.29 0.4 0.36 0.33 0.37 0.27 0.28 0.22 1.0 0.8 0.6 p.d.f. 0.4 0.2 0.0 0 1 2 3 4 5 6 7 8 9 10 sample mean STANDARDIZED SAMPLE MEAN 0.5 0.4 0.3 p.d.f. 0.2 0.1 0 -4 -3 -2 -1 0 1 sample mean 2 3 mean Variance 5.02 1.44 SAMPLE MEAN 4 951 972 983 999 999 1000 1000 1000 1000 1000 6.83333 7.16667 7.50000 7.83333 8.16667 8.50000 8.83333 9.16667 9.50000 9.83333 0.1 0.06 0.03 0.05 0 0 0 0 0 0 3 1.56 1.84 2.12 2.4 2.69 2.97 3.25 3.54 3.82 4.1 sum 0.11 0.07 0.04 0.06 0 0 0 0 0 0 1000 samples 4.91 7.91 7.39 6.4 8.83 1.56 6.98 3.57 8.41 0.41 6.64 7.44 7.72 5.74 2.56 5.91 1.65 4.04 3.86 9.58 1.96 3.25 6.61 8.43 1.38 1.21 9.36 7.81 7.23 7.7 9.23 0.17 9.18 3.47 4.79 7.59 8.46 5.74 9.84 7.93 8.82 3.99 7.99 9.94 2.59 7.68 0.71 7.63 3.5 0.48 7.26 4.05 6.89 0.49 5.88 4.79 9.56 0.33 3.18 5.19 4.9 8.57 9.94 9.57 8.62 7.39 9.42 1.1 8.88 9.4 2.05 0.17 9.05 3.12 2.68 8.26 1.51 9.24 6.89 2.57 5.26 6.34 5.67 6.16 3.41 5.41 4.47 8.45 2.54 1.12 7.32 6.75 3.6 5.31 5.21 7.38 7.29 4.36 9.96 5.34 2.74 2.92 3.27 1.63 2.13 2.31 9.73 1.11 9.64 2.71 8.6 4.7 3.67 0.4 8.88 9.59 8.56 6.88 0.2 2.06 6.91 8.28 0.95 5.25 5.57 7.59 3.3 5.15 9.96 4.97 5.06 7.59 8.84 3.23 0.18 7.31 8.53 2.62 8.18 4.52 5.87 6.26 1.66 6.81 1.34 2.23 0.34 8.45 8.21 5.95 6.31 1.29 0.94 6.31 0.33 1.12 4.3 8.7 0.27 1.56 6.65 9.2 1.86 7.63 2.84 5.18 8.89 6.34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6.56 6.75 4.85 6.38 0.93 3.43 1.51 9.22 9.05 1.44 6.12 5.27 4.44 0.26 8.78 3.29 4.49 8.56 4.02 0.48 0.32 9.86 4.58 4.78 6.42 2.89 2.22 9.67 3.65 3.99 1.71 0.68 1.2 8.48 0.16 8.07 8.56 2.94 7.63 9.52 8.13 2.95 5.44 6.29 8.36 4.78 6.03 1.9 8.76 6.33 9.31 9.83 5.15 0.47 2.34 4.94 7.58 1.52 3.28 1.4 1.21 5.81 1.62 9.75 0.09 8.63 1.16 9.29 0.47 8.28 3.56 5.38 2.04 3.24 7.99 9.58 2.89 1.2 7.74 3.03 3.44 0.22 0.38 4.59 3.61 2.11 5.08 2.55 2.04 3.41 0.77 2.52 8.02 5.08 7.75 4.04 1.72 7.95 6.74 8.45 4.08 2.51 1.54 9.31 1.42 3.95 7.6 5.92 4.67 5.61 1.76 8.54 0.53 9.25 5.6 7.38 8.06 5.93 7.78 4.59 6.91 2.08 6.15 9.12 2.01 1.19 2.04 7.09 3.81 6.1 2.82 1.16 6.52 8.67 7.32 7.85 1.04 1.3 1.32 9.57 6.31 8.06 2.2 8.27 6.6 3.04 8.85 8.93 4.44 1.53 1.1 7.6 1.59 7.63 5.34 6.81 0.25 8.7 8.6 7.81 8.53 5.01 7.58 4.06 4.06 5.08 9 6.97 9.47 5.15 3.91 9.96 8.37 6.4 3.64 1.25 3.29 3.49 1.46 6.25 8.84 1.13 2.43 2.51 7.12 1.19 6.07 8.15 0.83 9.43 5.88 3.5 7.13 2.49 9.82 3.57 4.33 5.59 1.18 0.52 6.54 4.55 3.28 2.14 8.82 7.7 3.12 6.23 0.29 9.6 6.61 7.12 2.41 7.74 1.99 3.18 8.99 7.71 2.42 8.12 1.59 7.99 1.74 7.57 3.96 7.79 8.14 2.56 6.39 0.12 3.05 5.86 1.67 9.91 9.37 9.96 5.13 9.1 4.51 0.55 5.74 1.35 8.92 2.5 3.26 6.66 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.81 8.94 2.45 1.87 7.21 0.02 2.29 1.14 3.88 8.93 5.38 0.6 3.91 1.77 2.96 8.25 4.96 6.04 7.76 0.19 2.05 8.57 4.72 0.37 1.25 6.82 5.78 5.43 8.09 1.7 5.7 5.29 5.67 5.48 5.22 8.78 8.87 3.35 8.78 0.73 6.38 7.38 8.12 4.29 8.82 4.54 8.41 4.94 0.93 2.16 3.32 6.7 6.87 2.44 7.19 6.47 9.6 0.59 3.43 8.39 0.51 0.06 8.62 5.93 5.44 1.55 1.4 2.99 8.7 9.96 8.26 7 4.08 0.35 1.88 4.71 3.2 7.16 3.38 5.6 0.5 1.6 7.86 2.15 9.73 6.45 8.81 5.02 8.33 9.28 7.4 8.34 5.36 6.3 5.71 8.16 7.59 0.97 2.42 6.17 6.68 0.67 4.48 5.07 8.02 3.03 1.09 2.97 5.25 1.06 4.19 7.11 7.84 5.25 7.92 7.47 2.73 9.92 2.3 7.56 3.24 0.95 1.65 7.59 3.53 9.36 3.95 3.36 7.88 4.44 0.87 0.34 7.75 0.4 8.93 3.19 9.16 1.3 3.6 1.27 1.75 5.92 7.79 3.02 0.99 0.89 7.05 1.93 1.3 0.84 3.45 1.12 2.79 8.67 0.54 6.74 9.67 2.33 6.62 4.12 1.27 6.25 3.46 6.29 5.19 6.66 9.3 6.4 8.6 6 8.48 0.29 6.11 6.68 4.58 1.31 3.31 7.53 4.21 9.99 9.52 6.62 7.55 1.81 3.66 9.89 7.68 1.36 9.34 4.42 3.98 9.59 7 0.18 8.3 4.92 3.8 3 7.5 1.87 7.7 0.11 5.27 2.83 8.22 4.4 6.7 3.01 8.6 7.63 0.2 4.99 8.58 3.8 6.94 1.36 4.78 6 4.27 4.27 5.55 3.73 9.48 4.21 4.89 4.48 4.59 4.64 0.58 2.91 6.63 5.13 8.75 5.55 6.45 2.26 9.23 7.51 4.47 2.92 8.22 7.22 1.36 6.25 8.45 3.52 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.51 4.03 2.95 2.44 1.85 7.02 6.09 9.74 9.96 9.28 2.84 0.02 3.36 2.63 1.03 5.09 0.42 5.65 4.59 9.5 2.03 3.3 9.58 6.95 9.88 2.73 9.95 0.67 3.87 2.78 5.23 8.29 8.71 4.16 5.91 1.95 0.45 1.33 8.38 2.42 5.93 7.09 4.56 4.61 1.6 1.44 2.25 3.08 7.62 6.25 1.49 2.01 5.81 3.4 0.58 3.06 2.85 8.69 0.82 6.01 1.34 5.62 9.27 5.62 8.42 5.13 0.42 6.52 5.7 5.6 7.01 1.05 8.01 0.26 4.71 0.66 9.63 0.26 2.49 6.18 9.31 0.99 0.68 1.76 7.48 3.24 7.67 2.98 8.76 9.2 1.67 8.16 8.14 0.28 2.57 2.63 3.77 0.77 6.31 3.38 4.57 1.42 4.28 1.63 9.91 9.3 0.96 7.11 5.23 0.81 3.05 3.82 2.64 2.38 4.2 8.45 2.6 1.96 8.03 7.88 3.42 1.96 5.99 6.81 1.59 6.19 3.39 3.5 7.71 7.86 7.21 3.21 6.95 5.82 8.77 2.56 4.3 9.19 3.23 0.7 8.21 7.22 3.26 2.8 9.6 2.96 1.53 1.3 7.01 1.58 0.58 3.17 3.74 2.34 3.52 9.53 7.22 9.73 4.59 2.83 5.53 6.83 5.02 7.9 1.21 5.83 0.87 5.06 7.73 9.05 4.67 3.81 9.65 4.99 9.72 3.67 0.62 3.78 0.01 8.67 7.46 3.38 0.31 0.53 8.85 9.97 3.83 5.64 8.4 3.22 6.12 8.65 7.13 8.32 8.06 9.59 0.84 7.87 4.4 1.97 3.78 2.02 3.4 9.04 5.58 8.39 1.88 2.75 6.07 5.89 4.2 4.59 0.07 6.73 5.9 7.2 4.95 6.38 2.28 8.76 0.49 9.98 4 8.36 1.43 2.94 9.09 3.29 9.62 1.49 5.96 5.2 4.64 8.69 2.22 5.86 8.5 2.85 5.58 0.92 0.02 7.62 8.72 1.3 6.36 7.95 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7.92 3.57 0.16 4.89 3.2 7.14 7.35 8.34 7.12 6.98 3.43 6.38 4.29 7.08 5.89 3.88 0.35 3.21 4.44 6.49 3.56 3.22 2.57 0.52 2.4 6.25 7.06 1.27 5.78 4.09 1.64 1.43 6.84 8.01 2.9 2.51 8.31 4.07 0.02 1.57 1.15 6.03 0.19 4.1 3.36 4.3 0.11 9.63 1.24 9.71 9.76 6.09 8.8 8.98 7.13 6.63 2.48 9.33 6.09 3.39 6.59 9.25 8.68 3.14 4 2.67 6.77 2.65 7.8 9.88 8.9 9.95 7.19 1.73 2.88 6.55 3.38 2.17 3.18 3.84 4.1 7.72 8.21 4.49 2.69 5.41 5.44 7.04 6.1 5.93 0.22 2.89 5.21 0.89 3.2 7.74 4.06 9.11 9.36 8.97 6.11 2.4 3.93 6.21 4.1 3.8 1.09 5.72 2.74 5.81 9.35 8.2 8.18 0.26 3.3 2.53 7.94 1.59 8.91 1.09 1.08 0.1 5.21 5.95 1.45 3.59 6.85 9.19 5.36 1.83 1.03 2.53 2.41 0.47 2.47 0.22 7.3 8.79 9.08 1.24 6.41 2.19 0.55 2.66 2.58 1.55 6.63 4.8 0.18 3.27 5.37 9.59 5.18 7.37 4.17 2.65 7.36 1.1 0.7 8.57 7.37 2.54 9.51 2.74 8.86 5.72 0.94 8.37 2.2 6.06 1.07 4.83 6.56 8.95 1.45 0.64 0.01 9.66 9.05 2.95 1.8 6.31 0.7 5.38 8.34 9.93 9.55 6.18 3.21 9.43 5.23 9.35 6.51 3.7 0.13 0.45 7.1 2.47 1.73 0.74 6.34 5.83 1.2 5.2 8.41 1.99 6.51 6.09 4.45 1.02 5.9 1.82 6.86 8.59 5.09 1.27 1.97 8.03 4.3 3.01 0.56 10 8.98 5.77 1.45 6.88 8.01 0.41 4.5 6.47 4.06 2.67 5.36 5.54 1.41 7.61 5.49 2.65 9.03 1.64 1.72 9.36 8.19 3.55 1.83 5.95 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.46 2.74 2.02 6.65 8.58 9.74 2.33 3.46 9.29 9.74 9.23 5.86 3.24 0.11 8.37 4.3 4.03 4.2 8.19 4.04 8.16 7.61 2.73 6.94 5.83 8.92 9.36 4.82 6.44 2.96 5.97 2.45 7.94 7.71 5.97 1.92 2.32 1.49 4.5 7.78 9.92 6.72 9.36 6.74 0.86 1.52 8.72 4.83 0.69 0.44 5.77 9.3 9.51 2.94 3.01 4.67 9.17 4.92 9.34 1.49 8.91 2.41 4.56 3.54 6.04 2.6 2.08 3.99 7.15 2.07 6.82 3.14 2.11 0.96 2.34 4.72 6.09 7.48 5.95 2.56 1.09 5 8.12 7.65 7.32 2.62 5.54 0.67 5.32 8.8 8.94 0.83 3.82 0.75 0.1 4.33 7.28 6.14 2.82 5.25 1.98 1.57 0.69 4.68 0.12 2.99 2.45 2.98 8.07 0.96 4.85 6.01 2.01 2.38 3.94 1.14 8.96 6.33 1.19 8.3 6.55 3.04 9.25 3.37 3.83 3.1 6.75 3.79 7.87 9.98 0.77 1.92 5.28 9.9 1.18 2.03 9.06 9.2 8.12 4.78 4.3 2.52 1.32 4.3 0.43 7.98 8.92 7.4 9.61 4.03 4.94 9.42 5.4 8.94 0.52 8.9 2.56 1.99 3.93 4.7 5.43 5.64 6.74 6.25 5.29 6.73 9.29 0.37 4.26 2.1 8.66 3.79 7.19 9.56 7.17 9.49 3.72 4.93 9.94 9.06 6.11 1.37 0.55 8.12 0.53 9.35 7.85 8.56 3.92 6.38 4.42 5.13 0.99 4.22 2.75 6.15 5.9 1.77 0.12 5.03 8.01 4.85 5.12 3.08 8.93 4.46 3.48 8.52 7.82 3.95 5.96 2.05 8.08 9.31 5.09 5.92 9.42 3.89 1.51 6.84 3.31 2.3 8.96 6.91 1.52 9.75 0.78 1.5 3.53 0.56 3.51 7.42 8.81 3.41 9.93 8.39 6.79 9.07 2.14 3.18 9.08 7.34 4.2 8.31 3.16 4.28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.33 3.85 6.36 1.22 7.41 0.94 2.48 8.76 0.14 1.89 5.65 6.79 1.63 7.12 4.78 8.61 9.75 6.8 2.03 8.43 8.87 6.27 5.31 1.22 8.32 0.15 6.68 1.41 2.2 2.83 6.13 8.63 9.88 6.51 5.51 8.92 7.75 9.84 8.34 1.37 3.16 1.25 7.44 7.38 0.8 7.46 9.03 9.4 7.91 2.03 3.7 1.3 6.48 3.43 5.46 6.83 1.78 1.8 1.2 1.19 8.16 1.6 2.75 7.04 3.08 3.59 0.93 7.77 1.53 8.36 8.98 0.29 7.87 3.55 5.52 4.18 8.29 2.8 6.81 5.99 4.93 5.04 1.76 5.72 3.13 9.34 7.41 7.59 0.99 1.24 5.06 0.06 2.8 7.75 7.21 0.06 0.04 1.7 2.18 0.29 1.08 2.85 0.76 7.58 8.36 3.62 5.15 9.75 5.5 2.79 6.92 5.68 8.67 7.93 5.68 1.18 0.82 1.26 0.33 6.01 4.85 0.38 0.83 6.52 2.15 2.9 4.25 6.66 2.7 8.19 1.89 9.48 9.3 3.24 7.77 2.87 2.18 4.84 1.4 7.5 4.01 2.09 8.47 0.57 8.45 5.6 2.3 1.17 0.9 4.26 9.77 5.83 7.98 5.88 4.13 2.67 3.43 1.19 7.59 5.68 5.52 9.52 2.19 4.43 5.95 2.87 3.02 7.54 3.71 5.55 1.55 0.81 6.29 0.36 4 4.67 5.32 4.94 6.13 5.02 9.57 4.07 3.37 2.99 3 0.25 1.05 5.16 2.06 1.5 6.22 7.14 0.66 0.15 1.19 2.13 3.32 1.35 2.16 4.17 6.93 9.48 9.42 6.12 2.63 9.77 0.57 8.25 2.42 6.34 3.54 3.86 4.26 2.6 3.77 8.35 9.3 8.02 6.34 0.4 5.7 6.86 5.62 6.02 8.98 5.78 7.15 2.43 7 8.15 2.75 5.75 3.84 2.08 7.74 0.16 4.15 2.82 1.84 0.97 2.46 2.46 9.33 6.2 2.54 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6.88 9.67 5.01 6.07 8.99 4.83 7.34 9.87 3.28 2.09 9.71 6.8 3.2 9.84 9.93 5.33 0.35 8.21 0.54 6.6 8.62 2.17 0.82 5.02 9.74 2.98 4.93 5.69 6.4 3.85 0.46 4.95 9.79 9.99 1.3 3.42 6.09 6.91 5.03 5.55 9.01 0.38 5.9 9.77 0.66 6.01 7.32 4.21 4.9 0.84 6.28 0.93 0.89 9.64 9.79 6.51 0.8 2.83 0.32 2.03 0.42 3.16 4.09 6.64 4.18 5.71 8.89 4.68 7.12 1.81 1.72 0.51 6.39 3.83 0.19 8.93 2.62 8.41 1.36 4.42 6.82 7.46 7.79 1.53 7 1.34 2.5 5.51 7.49 8.67 8.62 7.48 5.24 3.99 8.78 4.38 7.95 5 9.45 8.85 5.15 6.07 7.97 6.82 4.26 8.48 9.39 0.38 8.21 3.28 1.1 5.92 5.08 2.26 5.67 4.27 7.97 6.01 3.85 5.82 9.79 3.79 8.59 7.21 5.68 9.86 6.45 9.83 2.62 8.87 6.87 4.63 4.58 5.22 4.29 1.87 8.46 7.41 0.58 4.34 7 4.93 4.56 3.62 1.62 9.67 0.17 5.81 0.94 1.75 9.95 4.88 3.24 0.84 3.16 3.07 1.09 7.23 8.5 8.35 2.58 9.3 3.51 5.02 6.07 1.42 9.29 2.85 0.44 4.53 9.89 4.77 7.29 6.11 3.55 9.76 6.51 4.42 1.09 6.02 7.12 2.19 0.49 7.83 3.74 8.43 3.64 9.11 0.27 2.51 6.29 6.79 1.98 7.53 1.45 8.14 3.79 5.07 2.17 3.46 1.57 4.43 5.51 4.04 5.97 4.72 1.01 6.41 7.46 5.13 1.58 8.91 7.96 1.47 7.92 9.78 3.88 3.55 1.67 4.06 8.55 9.21 5.35 9.57 7.16 3.99 3.94 6.45 8.97 7.22 4.12 6.64 6.92 0.21 6.19 7.59 8.55 2.46 6.25 5.5 7.46 1.99 9.61 4.87 5.96 2.05 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.48 8.32 3.74 8.4 8.16 8.79 1.28 2.49 2.5 5.69 3.82 2.45 6.03 3.61 8.28 8.16 1.11 7.69 3.38 9.96 3.65 8.48 9.48 4.12 3.66 0.64 5.48 7.42 2.59 0.28 6.38 8.89 9.1 9.12 3.02 5.51 7.22 7.59 2.94 9.45 2.96 2.06 7.32 4.93 9.78 2.3 9.81 4.45 2.33 4.27 4.63 0.17 0.7 7.85 5.08 7.84 3.44 3.82 4.14 0.46 3.03 5.75 8.43 1.22 7.21 5.61 5.38 5.21 0.99 5.61 2.08 5.06 2.91 2.73 1.91 1.24 2.16 5.02 6.36 2.68 3.95 2.87 0.46 3.39 2.25 4.58 6.08 4.11 1.84 6.67 0.69 6.28 3.41 3.99 4.91 5.05 6.16 7.7 7.82 1.03 8.69 8.68 1.74 6.92 9.16 6.46 4.26 7.6 3.34 8.1 9.13 0.38 7.49 9.43 1.93 9.04 9.55 9.03 9.37 7.41 8.64 0.84 8.78 6.33 4.14 3.54 2.2 6.75 9.25 4.67 4.73 7.07 1.77 7.93 4.29 2.71 4.3 4.56 1.57 5.11 2.6 8.44 6.12 1.36 6.3 0.51 2.81 2.34 2.37 2.4 6.59 9.06 4.53 3.98 2.23 7.2 8.25 3.4 3 6.65 9.52 1.98 8.99 1.98 0.41 9.9 4.23 3.29 7.32 6.13 8.59 5.87 6.47 1.38 9.42 5.36 2.58 2.15 9.61 1.37 8.11 6.84 4.76 7.59 7.32 3.53 3.82 5.64 1.73 6.73 1.51 1.49 8.43 4.42 7.43 5.31 9.32 0.96 5.78 6.13 7.25 3.56 0.93 7.36 5.87 2.03 7.82 7.76 8.62 2.05 4.52 1.74 0.91 3.98 3.6 9.54 2.58 0.78 1.53 7.53 7.12 3.18 3.61 0.84 8.3 3.1 5.03 6.01 1.22 1.85 4.91 6.87 1.92 4.77 2.11 4.22 0.94 3.42 7.46 3.97 6.46 4.68 6.73 9.6 6.62 4.91 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0.62 6.82 0.59 7.18 7.1 0.71 2.02 0.76 3.57 7.73 9.28 0.7 9.02 4.02 1.76 7.95 4.89 3.35 0.96 7.51 1.88 7.27 9.36 0.93 5.86 1.09 5.25 5.11 2.64 4.72 6.65 9.22 4.3 6.69 6.06 6.53 5.09 1.16 6.19 8.04 1.46 4 0.02 9.72 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.54 0.86 8.62 7.24 2.09 6.52 7.36 4.13 3.03 3.57 3.2 9.08 1.94 2.2 5.29 5.57 2.12 2.73 8.83 2.59 0.48 8.78 6.97 8.12 0.13 9.52 4.05 0.22 7.91 3.25 9.97 1.58 2.78 2.79 7.31 1.62 0.33 4.43 7.43 5 7.74 2.02 7.28 0.87 3.86 7.85 0.75 4.44 0.22 0.71 4.86 8.19 9.72 2.2 3.5 6.96 3.25 7.66 9.7 6.56 5.46 5.85 5.02 9.37 2.25 9.17 5.36 7.59 8.39 8.81 6.38 5.7 2.24 5.71 0.51 9.26 5.7 6.59 8.23 7.1 6.17 9.82 7.66 1 4.14 6.86 9.52 2.13 1.03 2.72 1.41 9.53 1.49 9.5 1.32 5.49 3.12 2.97 5.06 5.34 9.31 9.67 2.97 9.21 6.67 7.59 3.21 9.35 7.28 3.3 8.97 4.72 4.95 1.34 1.15 0.66 3.28 5.16 5.6 6.81 9.92 5.19 6.62 2.83 7.16 3.25 2.06 6.81 4.18 8.35 8.27 9.89 3.09 5.33 0.1 4.66 3.61 4.83 7.05 1.62 4.05 4.33 5.7 3.45 3.84 2.31 7.43 9.8 2.49 3.25 6.89 5.5 6.47 9.32 8.86 6.08 1.76 2.03 6.57 1.67 5.58 8.1 8.28 2.91 1.62 0.81 4.83 0.28 1.21 3.58 1.6 3.46 2.77 1.66 2.37 8.08 0.47 3.39 0.05 8.58 7.76 4.36 0.17 0.29 2.91 6.64 3.42 6.58 4.87 8.81 1.42 0.7 6.24 6.18 8.2 5.5 2.6 6.01 5.73 5.02 5.45 4.31 8.86 8.2 6.39 3.18 5.77 4.76 3.68 0.11 3.75 1.84 7.54 1.68 0.74 5.06 1.1 4.79 8.26 4.78 5.33 3.13 5.81 2.71 9.72 1.55 6.97 1.03 7.75 3.5 2.26 3.92 6.71 5.55 9.59 3.76 2.76 1.85 6.9 9.46 3.36 1.1 9.41 5.93 0.92 1.64 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6.27 2.96 9.18 5.03 1.15 9.41 1.32 9.46 4.97 9.89 9.06 6.45 6.28 0.13 3.02 0.93 1 3.73 8.06 5.82 3.94 2.75 1.75 3.11 2.87 1.97 4.88 2.83 3.84 6.28 6.3 1.81 3.63 5.31 7.72 3.04 5.96 2.17 7.15 8 8.02 6.72 2.82 5.84 8.94 4.97 4.14 8.97 7.92 2.06 3.44 0.61 9.57 2.26 0.01 3.24 8.58 3.58 7.02 8.4 9.39 3.37 7.33 9.05 4.5 1.11 9.33 6.3 8.9 6.92 1.09 0.72 0.45 1.76 9.81 7.96 4.33 2.04 0.73 7.3 8.88 4.61 8.23 1.91 3.33 8.36 6.38 9.5 0.71 4.96 7.83 0.02 2.03 7 3.65 2.74 8.46 0.28 8.1 3.16 8.21 4.79 2.89 3.6 1.37 8.04 3.79 9.59 3.25 7.62 8.56 4.97 9.68 9.53 5.59 6.31 5.63 5.11 1.13 1.82 7.59 7.23 9.6 1.87 9.77 9.1 0.23 7.77 7.64 3.23 2.78 3.33 6.28 8.56 7.16 1.24 7.97 3.04 2.96 7.99 7.38 0.8 4.28 4.22 0.85 4.91 1.31 7.66 4.85 8.48 4.2 1.88 0.07 5.89 5.06 1.25 3.87 2.69 2.72 5.49 7.76 3.47 3.64 3.13 8.39 8.41 3.94 7.22 7.87 6 8.74 7.02 2.29 1.21 8.25 2.8 5.04 3.34 9.52 7.13 0.74 8.26 6.37 2.43 6.33 5.32 6.44 5.3 5.39 3.55 7.15 3.81 8.23 8.75 5.57 8.93 5.96 1.68 8.03 0.22 7.1 1.98 1.16 1.57 7.33 3.68 6.22 2.19 6.56 2.78 7.89 9.12 8.9 5.05 7.89 8.03 5.74 0.68 5.02 9.67 8.53 0.9 8.2 1.55 4.31 0.02 4.35 9.64 4.4 6.23 5.92 8.57 4.06 3.85 0.35 3.23 6.68 9.4 4.54 4.39 0.68 0.06 7.78 9.27 5.27 9.82 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.81 5 4.6 1.46 3.96 3.39 4.2 5.55 4.64 4.24 1.96 2.38 2.21 1.81 6.41 2.11 2.68 8.56 1.16 4.73 2.23 3.7 4.76 2.44 3.43 5.51 4.9 1.98 1.9 7.97 0.29 8.14 6.84 7.73 6.37 7.41 7.05 6.14 6.19 5.98 5.2 3.29 0.95 5.87 7.34 9 5.94 5.87 7.29 0.93 3.58 0.53 9.97 9.41 8.58 6.47 7.87 8.03 8.18 2.33 7.37 2.67 2.32 5.15 6.44 4.31 6.44 5.21 2.27 1.34 1.59 3.62 0.9 8.33 6.91 4.34 8.47 6 2.04 9.41 8.05 0.25 1.86 9.69 8.96 9.01 5.19 5.82 5.55 0.14 6.81 6.79 4.85 1.59 1.57 1.97 5.18 2.85 8.6 1.87 4.38 3.09 6.87 0.55 4.7 7.55 5.88 9.11 1.06 2.8 4.53 8.42 9.06 5.79 5.57 5.82 5.56 7.28 4.18 8.86 0.78 1.49 8.14 4.94 6.82 2.19 8.69 3.56 5.24 3.89 4.52 3.66 9.43 7.78 7.94 2.34 8.62 3.19 6.96 4.28 0.13 3.13 9.9 5.08 2.3 6.63 6.82 6.52 2.38 5.45 6.68 9.46 3.85 9.4 9.19 9.65 2.26 4.79 6.48 2.84 1.72 2.01 1.54 2.49 8.78 8.71 9.33 0.98 2.13 0.87 2.69 9.47 9.62 7.14 5.77 3.86 3.93 2.23 5.91 5.65 5.97 0.52 0.96 0.56 9.63 6.59 5.28 9.58 4.21 1.51 7.51 8.9 8.16 8.1 6 6.35 5.01 6.37 8.18 7.87 5.19 1.68 1.68 2.84 6.73 8.96 1.67 0.13 0.58 2.53 4.6 4.27 9.47 7.79 8.91 5.72 4.28 1.04 1.59 2.32 8.62 2.46 5.8 6.61 9 2.52 6.53 5.22 8.51 6.44 8.74 7.65 8.09 4.11 2.63 0.58 3.3 4.48 3.97 3.66 3.28 0.53 3.87 7.15 9.67 6.01 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.77 0.47 3.2 1.14 2.3 6.46 5.68 5.85 8.21 1.19 4.24 8.2 8.81 7.93 7.26 5.49 2.55 4.77 4.25 2.18 4.94 4.01 3.24 6.84 2.17 0.22 5.83 2.85 6.73 8.66 3.26 3.79 6.98 9.76 8.28 6.39 4.54 2.31 3.01 2.34 8.17 3.78 2.77 0.67 8.66 5.41 3.66 4.08 6.62 1.74 6.67 3.57 7.73 8.51 2.92 2.39 0.97 7.08 7.16 2.12 6.88 4.8 9.56 1.29 4.74 7.95 2.88 0.33 5.87 5.39 1.46 4.5 8.92 1.93 1.35 2.9 7.47 1.28 5.39 3.27 7.68 2.44 2.01 9.24 0.34 0.07 3.16 3.67 3.06 8.22 9.56 5.17 6.72 4.41 4.44 6.78 7.82 8.51 8.29 9.45 7.07 0.66 8.37 4.33 9.84 6.16 2.65 6.76 3.34 1.14 6.37 0.09 0.91 7.57 6.07 0.02 0.77 9.56 1.57 2.58 8.56 5.7 7.37 9.95 9.33 3.99 2.63 0.45 8.47 4.93 6.19 8.28 4.35 7.91 1.27 7.03 7.49 2.43 2.22 6.95 9.21 1.03 10 3.45 2.3 2.69 3.9 2.82 8.58 0.16 2.69 2.89 1.31 0.02 7.13 8.12 6.13 8.36 7.3 2.11 8.38 3.03 3.11 7.74 6.62 4.48 2.68 0.2 7.89 3.6 3.41 0.6 4.37 7.12 2.05 2.65 4.7 1.2 6.74 8.88 8.35 4.19 9.62 9.31 7.02 6.52 0.49 5.77 7.94 6.33 2.63 8.56 9.29 4.29 3.09 9.08 4.62 4.24 4.21 7.49 8.41 3.51 9.4 6.04 9.74 7.21 0.93 2.02 2.91 9.89 0.3 7.55 0.9 9.77 3.06 0.33 7.82 5.04 1.15 4.94 0.56 0.94 4.15 8.27 7.39 7.25 2.68 4.04 5.77 1.95 3.77 9.85 1.63 2.14 8.03 7.24 0.2 4.63 9.31 5.06 2.65 0.65 7.21 2.8 9.9 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1.38 6.1 6.3 9.42 9.39 2.77 5.18 6.62 1.52 1.53 6.85 6.39 7.09 3.12 8.57 4.48 6.82 4.62 7.98 1.19 7.26 6.54 0.93 8.84 9.46 5.83 4.8 6.85 5.83 3.98 3.28 0.85 5.69 3.8 6.55 1.24 1.3 8.88 6.14 7.38 3.09 6.94 5.82 7.48 3.75 8.74 4.6 9.83 4.9 1.97 9.11 4.13 4.53 3.44 6.11 9.84 2.02 2.69 8.48 1.71 5.74 6.97 8.66 2.72 7.72 0.65 8.45 3.82 3.52 8.89 5.61 2.95 9.92 6.9 4.78 0.08 5.75 7.75 2.66 1.34 8.33 2.87 1.81 9.48 8.1 4.17 8.93 3.33 5.51 5.17 6.48 5.23 3.05 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.18 5.38 8.23 7.44 9.16 0.65 4.04 9.35 6.62 4.4 8.16 7.36 2.71 4.43 0.38 9.03 1.82 7.73 6.96 6.9 1.84 3.17 5.2 9.79 3.11 7.11 4.14 9.33 8.35 8.88 2.51 4.37 8.84 4.14 4.95 5.71 1.91 0.32 7.86 0.28 0.25 8.71 8.55 9.9 7.09 9.08 6.11 1.36 2.65 1.05 4.14 2.4 3.87 2.48 1.1 6.47 3.84 7.02 7.17 9.46 7.93 8.71 2.97 3.26 5.76 2.09 2.43 3.19 1.02 1.06 4.6 3.98 3.93 2.76 7.44 6.16 4.53 6.77 9.45 0.68 2.58 3.33 6.78 5.21 2.65 4.34 4.81 7.65 0.09 5.16 3.66 1.36 3.4 0.74 7.81 2.48 1.6 5.75 9.46 5.05 0.63 9.16 8.68 5.36 6.99 1.49 6.98 5.36 9.47 8.26 2.81 0.09 3.09 6.3 3.13 5.47 1.55 2.4 6.11 2.31 8.84 2.27 8.83 9.87 3.06 0.96 3.93 7.61 7.43 9.25 2 0.96 9.22 5.82 7.45 7.86 8.09 1.74 2.44 2.57 5.54 9.44 8.5 7.59 2.63 0.26 0.42 2.27 5.8 9.51 6.32 9.84 5.86 7.87 3.84 7.09 6.95 5.04 8.8 8.21 3.45 3.33 1.83 2.65 3.89 5.17 1.41 8.62 5.93 5.98 4.42 3.61 4.98 1.75 9.83 3.12 4.48 2.06 5.68 9.66 4.46 5.03 7.56 9.67 1.14 5.53 8.8 5.19 0.58 0.02 5.81 1.27 1.48 6.87 9.78 3.43 9.09 7.28 2.02 2.4 0.61 6.54 7.63 7.62 2.13 6.61 0.11 4.62 3.44 8.95 1.54 5.26 6.57 2.28 7.29 9.39 5.16 1.42 7.46 3.35 5.58 2.58 9.53 2.69 4.84 8.34 9.82 2.03 9.04 6.65 6.5 5 7.05 8 0.67 3.11 2.11 4.41 6.95 8.42 2.19 9.55 1.4 6.11 4.3 1.23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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9 1.88 7.31 9.35 9.56 6 2.28 0.36 7.11 9.79 0.17 4.2 4.85 3.38 3.79 3.26 5.23 5.49 9.31 5.02 0.81 4.11 6.63 2.31 3.83 6.36 8.54 7.21 8.4 1.2 4.5 8.62 4.6 2.91 3.12 8.58 4.88 3.49 4.6 1.42 3.22 8.29 8.1 2.18 9.04 3.32 7.52 0.81 5.07 5 5.8 8.27 0.97 8.96 3.75 1.49 6.51 4.5 2.05 4.59 5.01 2.53 7.54 4.51 8.4 2.46 0.05 7.28 9.98 8.44 4.49 7.78 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.86 4.31 7.64 2.21 7.35 6.55 5.26 8.27 1.26 2.22 5.29 3.92 3.98 5.06 9.38 5.48 8.02 2.52 2.99 7.89 8.86 5.86 4.32 4.35 5.82 6.57 6.59 3.62 6.55 8.39 0.11 7.2 3.06 6.49 2.65 2.21 0.65 6.11 4.51 1.83 3.95 8.31 8.1 7.99 8.95 5.64 3.31 4.65 9.96 5.94 6.16 1.49 3.39 4.82 6.64 5 1.79 3.1 5.62 8.07 9.14 7.32 6.92 8.55 7.42 1.35 6.11 5.27 1.4 7.4 6.92 6.44 5.02 2.92 8.05 9.03 2.47 3.87 4.06 8.1 3.59 9.6 0.09 7.9 2.3 4.88 9.29 2.1 4.63 3.41 6.62 3.33 6.09 1.09 3.37 3.04 8.02 4.44 5.95 7.32 9.35 7.12 5.42 7.69 4.96 6.04 4.94 4.1 9.92 4.49 6.35 1.15 4.52 9.19 7.67 8.12 6.13 2.43 5.89 8.11 7.66 7.33 2.16 7.03 7.66 3.77 2.87 8.77 6.64 3.16 0.56 6.14 1.51 7.39 8.55 7.39 1.69 2.7 1.58 9.11 5.89 6.03 5.91 3.3 1.81 1.64 3.7 2.95 1.99 4.28 8.58 2.59 3.33 4.2 7.12 7.56 2.84 3.8 6.73 9.84 3.79 2.62 7.96 6.38 4.44 0.79 4.27 1.06 9.45 0.34 2.32 3.73 8.81 4.93 8.13 6.55 5.38 2.78 6.5 9.18 1.65 3.01 9.76 1.84 8.9 6.03 4.44 3.46 7.25 9.41 7.08 3.05 1.09 9.87 8.43 9.3 1.5 0.64 2.36 6.67 0.99 1.62 0.94 7.39 6.32 8.63 5.1 0.69 6.08 3.79 6.53 5.42 7.68 7.69 2.78 6.44 3.41 7.1 1.86 2.95 2.56 2.51 2.71 2.13 3.63 4.6 9.34 7.97 5.8 6.78 3 5.95 8.93 9.81 8.41 3.92 6.27 0.72 9.21 5.99 0.87 5.19 9.61 8.29 9.69 8.83 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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1.17 6.68 9.37 5.47 1.58 0.37 2.43 3.7 9.37 8.41 9.39 5.31 9.1 8.75 3.81 3.13 4.68 0.24 2.02 6 6.96 6.39 9.64 2.47 7.44 3.59 2.49 8.69 3.69 8.89 3.88 1.02 5.51 3.33 6.69 3.91 8.43 1.35 6.96 8.73 4.67 0.6 3.95 0.92 9.82 5.19 1.2 6.4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.56 6.53 0.63 2.23 3.46 9.57 2.41 3.55 3.54 7.81 0.91 8.6 6.66 4.46 7.37 2.29 4.3 4.17 9.8 1.92 3.1 1.36 2.66 3.59 2.05 9.66 3.26 0.76 2.04 6.74 7.94 7.64 2.75 7.49 1.24 8.58 1.49 6.74 6.59 1.41 8.5 8.21 0.23 6.88 1.34 0.58 3.76 5.89 7.34 6.61 2.34 5.09 3.8 7.6 3.9 7.2 6.26 6.74 8.94 8.08 1.03 3.05 5.95 6 5.6 3.94 6.79 9.68 7.33 8.86 4.04 1.88 2.53 9.17 5.8 0.11 5.01 4.61 6.63 6.34 5.93 2.57 6.73 7.84 9.2 1.95 0.33 0.98 6.94 8.01 1.12 2.36 6.32 1.58 5.63 6.62 7.83 8.43 3.63 5.28 9.54 6.13 7.73 2.61 3.83 5.52 0.22 4.02 1.63 9.47 0.87 6.82 7.3 5.29 7.29 1.42 7.44 1.53 3.34 0.92 0.49 3.97 6.04 5.6 0.81 7.04 2.26 3.18 6.31 0.25 2.76 5.49 8.14 1.88 5.54 4.68 5.59 9.73 8.61 5.88 9.79 6.42 9.75 1.53 4.99 7.94 3.12 8.18 7.39 5.88 4.59 7.56 6.96 1.96 9.28 2.22 8.35 8.06 5.87 6.78 4.03 8 8.85 0.04 5.74 4.19 1.78 0.66 0.2 9.37 6.71 4.38 8.88 5.51 1.39 4.05 0.36 9.39 5.35 8.14 2.28 3.62 3.66 0.76 1.66 1.83 5.8 2.02 3.69 8.32 4.66 5.27 1.98 2.22 9.27 8.41 3.77 3.36 7.07 6.97 3.88 8.85 4.69 4 8.45 6.1 3.31 0.78 2.32 2.76 6.71 1.13 9.79 1.78 2.56 5.69 8.29 0.01 5.5 3.35 9.83 7.68 5.64 8.93 1.48 5.87 4.89 7.44 9.19 0.98 5.68 3.47 5.27 2.89 0.51 5.62 9.96 2.56 3.4 9.66 0.8 1.75 4.69 3.86 1.04 3.01 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.84 5.92 1.53 5.88 0.89 9.94 9.06 4.18 5.5 7.38 6.85 1.36 7 0.33 5.03 4.58 4.28 2.12 1.17 6.53 3.24 0.33 4.79 7.31 0.51 8.27 7.95 8.15 0.14 1.32 1.03 7.67 2.03 6.94 9.5 2.14 7.29 2.47 1.26 2.64 1.68 9.94 3.46 4.07 3.48 0.83 1.7 1.8 0.18 8.09 8.82 5.69 2.31 3.68 6.68 3.51 8.26 5.36 2.79 0.75 2.3 1.25 2.03 8.03 9.74 6.15 1.4 1.89 9.49 7.26 8.62 0.58 9.64 7.94 7.01 0.42 4.28 2.43 1.36 3.51 1.42 0.3 7.62 8.13 3.32 3.94 0.51 8.89 9.07 0.63 6.19 9.34 1.91 9.59 8.42 8.71 5.48 6.92 2.48 5.67 3.53 3.18 2.84 2.2 0.79 1.95 1.52 9.45 9.23 3.17 1.47 7.24 6.8 0.24 4.42 1.63 8.37 1.26 2.6 0.32 4.2 3.72 1.26 4.18 6.84 2.03 9.85 6.93 7.56 7.2 7.5 9.45 7.89 5.75 0.43 7.63 6.52 4.37 6.49 3.88 0.54 9.88 2.01 0.16 2.81 0.46 0.85 3.69 1.11 0.15 8.93 2.09 2.84 0.48 6.9 5.2 8.41 6.74 8.94 7.54 6.89 2.9 1.01 2.95 6.72 7.49 2.07 2.33 0.87 5.88 8.65 2.21 7.94 5.75 3.25 9.51 1.18 6.13 1.41 4 5.8 0.42 7.27 6.67 7.75 5.91 8.57 9.62 8.16 1.56 4.69 9.95 8.11 2.31 1.69 9.79 6.87 9.1 3.25 4.76 9.33 6.57 1.92 8.16 9.23 1.5 6.98 8.01 7.94 8.96 5.61 6.56 2.71 8.51 0.21 7.79 8.24 0.63 6.65 1.23 0.17 1.99 6.85 9.66 4.58 6.84 8 1.21 9.22 8.19 7.19 5.14 1.74 1.09 5.4 8.36 4.94 4.37 9.74 0.68 2.96 2.39 7.19 3.3 6.98 6.02 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.9 0.88 8.4 5.91 6.61 3.88 0.11 4.97 5.33 8.59 9.84 7.43 5.57 4.11 1.92 2.65 3.02 8.29 0.77 4.05 0.64 4.71 6.76 3.79 7.19 1.32 9.71 9.09 9.01 7.92 7.25 2.64 8.42 8.72 0.67 6.74 2.72 8.25 8.27 4.34 5.78 6.52 6.53 4.69 0.23 2.91 1.76 1.14 0.75 9.27 5.51 7.26 9.71 3.94 3.45 9.93 9.37 3.41 3.77 8.93 8.25 0.25 0.98 8.74 7.36 4.38 5.67 8.25 6.26 6.26 8.27 9.08 1.32 0.71 1.36 4.57 0.59 9.2 7.92 1.91 2.12 5.05 8.45 9.14 9.22 2.56 1.01 6.76 7.36 5.48 3.29 7.43 5.06 6.46 9.56 2.19 6.6 7.24 6.54 9.45 1.03 2.3 1.2 0.59 2.55 6.29 0.86 8.72 7.66 6.86 0.81 5.51 6.22 8.02 3.77 2.5 1.84 8.69 1.62 3.96 7.67 8.89 2.83 8.5 1.21 2.61 9.63 7.87 2.33 9.26 4.19 7.88 9.6 6.6 4.79 1.05 7.4 9.36 7.71 9.48 7.85 2.96 0.66 7.87 1.25 6.21 4.82 9.49 2.53 0.3 1.64 5.3 8.78 5.96 0.3 5.27 9.54 6.19 2.96 0.74 2.03 0.76 6.18 4.47 4.06 3.43 7.59 1.23 5.86 0.26 2.35 3.36 8.9 3.38 9.59 8.97 8.13 1.34 9.53 5.98 8.19 4.81 6.33 7.6 7.96 0.46 6.59 0.32 5.04 3.54 9.5 2.47 1.08 7.76 1.61 1.62 2.35 6.65 3.35 6.56 9.5 3.19 1.45 8.31 8.01 7.78 5.71 1.14 0.71 0.24 0.82 0.79 3.06 4.52 3.3 5.31 8.81 2.92 1.09 9.98 6.83 5.51 7.58 2.37 1.83 7.18 8.79 7.37 2.62 8.47 6.68 8.12 3.45 1.14 0.55 9.76 7.52 6.24 3.57 9.6 0.3 3.24 6.31 4.32 2.24 9.39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.76 9.63 9.89 1.88 3 5.23 1.91 7.12 0.8 8.49 2.59 7.62 5.29 5.5 8 7.47 3.77 3.29 3.65 3.82 2.84 0.72 7.83 9.43 5.24 4.5 2.45 8.25 7.12 6.99 2.64 9.67 5.28 6.61 4.01 0.67 6.49 3.39 6.9 0.09 1.72 0.73 9.72 0.01 5.11 7.07 6.3 2.32 5.79 5.23 9 0.07 5.8 0.85 9.88 3.85 2.98 9.97 0.84 1.35 0.46 9.89 2.94 6.81 2.24 6.8 5.54 6.1 1.34 9.86 4.75 3.92 3.67 9.5 6.39 9.21 0.44 6.68 7.68 5.94 3.77 5.43 8.59 6.01 1.11 4.69 8.05 6.78 7.96 9.72 5.61 3.97 1.81 6.81 8.5 7.09 2.09 7 6.69 1.26 0.22 9.44 2.8 5.12 1.51 8.7 1.61 3.93 6.04 6.37 7.21 6.98 5.22 6.69 1.54 1.83 6.1 9.45 4.34 5.1 0.76 2.19 0.44 6.38 3.59 7.56 0.77 5.84 3.82 7.92 8.23 5.49 6.54 9.37 5.58 5.01 1.11 1.97 9.28 0.58 1.79 0.73 5.91 9.83 7.41 9.09 9.65 4.67 7.3 7.58 9.77 5.83 8.6 6.57 5.72 1.65 3.82 0.99 5.9 3.19 4.93 8.74 6.19 1.17 1.46 1.74 0.78 1.29 1.54 2.69 5.9 3.35 6 4.84 3.89 3.73 9.08 5.36 0.39 2.35 5.55 5.85 2.45 2.42 9.17 3.52 8.6 2.98 2.7 5.37 3.51 0.43 9.52 9.43 1.22 1.25 9.27 2.22 7.81 7.01 2.4 9.32 9.76 4.76 1.33 8.09 9.2 2.56 3 6.05 8.25 9.71 0.49 6.9 5.5 4.49 2.71 1.86 3.09 6.93 0.89 0.42 0.34 5.58 9.82 5.15 0.68 7.36 1.16 4.04 3.1 9.56 4.97 0.18 9.68 0.6 0.2 1.97 1.35 5.53 0.67 5.59 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4.55 6.37 4.02 5.23 4.43 5.32 5.85 5.01 3.89 2.63 4.53 4.76 2.62 2.08 5.51 5.36 6.77 3.24 4.54 6.1 6.18 4.56 3.46 5.91 5.97 4.92 3.6 4.87 5.3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.47 3.81 4.41 4 4.6 3.48 4.1 4.39 3.25 3.91 4.27 6.26 2.56 4.41 4.17 5.46 4.56 5.33 5.32 5.57 2.87 6.74 4.96 6.62 5.12 6.3 4.59 4.37 7.16 6.1 6.98 3.71 3.36 3.11 6.18 4.57 3.46 6.46 7.89 5.63 5.85 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.86 5.35 5.6 6.06 5.15 7.43 5.35 6.84 4.26 4.79 6.09 6.45 3.19 3.2 6.16 4.74 3.72 6.29 5.56 5.17 3.46 4.03 5.53 4.44 4.51 5.87 6.44 5.24 5.55 3.59 5.23 5.41 4.6 5.25 6.07 2.68 3.63 3.71 5.99 5.77 7.09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.27 5.47 5.18 4.68 4.4 4.31 4.41 6.07 5.58 6.68 4.44 5 3.42 4.14 4.91 5.68 5.34 4.18 3.1 5.77 4.83 3.66 5.29 6.89 5.13 5.62 5.3 5.12 4.92 5.42 4.82 5.61 6.65 5.51 5.48 6.8 4.3 4.05 4.54 4.93 4.8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.89 4.54 2.15 2.6 4.85 4.36 4.78 4.73 6.99 4.59 4.14 5.35 6.42 4.58 5.26 4.44 5.69 6.49 5.39 6.07 5.97 4.9 3.6 5.53 4.25 4.76 3.69 3.79 5.47 3.97 3.17 6.12 5.39 5.14 4.93 6.81 3.09 4.9 5.01 5.79 6.72 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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3.64 5.46 7.1 5.25 6.56 6.08 6.62 4.91 2.79 3.83 7.64 6.52 7.33 5.91 4.03 5.44 3.16 4.41 3.06 6.06 6.17 6.4 5.53 4.72 5.86 6.82 4.33 4.96 4.44 3.61 7.68 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.99 3.82 4.39 1.79 1.75 6.12 3.89 5.97 4.57 4.79 3.55 5.31 4.16 5.91 6.8 7.26 5.08 6.24 7.74 3.51 3.82 3.61 5.61 4.84 3.18 6.98 4.76 5.45 4.03 4.55 5.66 7.18 4.63 4.97 5.6 4.79 3.64 5.31 4.99 4.2 4.77 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.13 6.47 3.51 5.57 3.16 6.6 7.06 2.9 7.61 6.57 5.21 5.24 4.76 5.84 3.5 5.07 3.96 3.06 5.38 4.21 3.68 3.55 3.97 6.45 4.7 4.83 4.84 6.9 3.36 4.62 3.16 6.53 5.14 7.14 4.83 4.06 5.26 4.14 2.85 3.99 3.57 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6.87 4.49 5.61 3.38 4.08 2.64 3.5 3.64 6.53 6.3 7.28 7.69 5.2 3.26 7.89 6.63 6.03 6.96 3.73 4.12 4.18 2.79 6.37 4.2 5.9 4.74 7.26 4.96 3.93 6.46 6.65 3.57 4.46 5.39 4.37 4.31 4.5 5.28 4.06 5.35 5.92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6.65 3.65 2.79 5.26 5.51 5.95 5.79 5 6.39 3.7 5.37 5.1 5.34 3.87 4.99 4.5 2.23 2.33 5.31 6.62 3.4 6.87 5.69 4.18 4.96 5.87 5.19 6.62 7.74 3.36 4.53 4.87 3.71 5.61 4.02 4.78 5.8 5.85 4.5 2.92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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