Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 5 5 6 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 10 10 9 9 9 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 11 9 8 7 6 5 4 4 6 9 11 10 7 3 3 7 13 18 21 21 18 12 6 0 -3 -3 -0 2 5 6 7 7 7 6 6 6 6 7 8 8 8 8 6 5 4 5 6 6 6 7 8 8 8 9 10 11 9 6 4 3 4 3 4 5 6 6 7 7 6 5 3 2 2 3 5 7 8 10 11 12 13 14 15 14 12 9 7 5 5 6 9 9 7 5 5 6 6 6 6 6 6 7 5 1 -2 -2 1 6 8 7 6 6 8 10 12 13 13 13 12 10 9 7 6 nan
nan 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 5 6 6 7 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 9 9 10 10 11 11 12 12 12 12 11 11 12 11 9 7 6 7 8 10 13 16 17 16 14 11 8 7 9 12 16 18 18 15 10 4 -2 -5 -4 -1 2 4 5 6 6 6 6 6 6 7 8 8 8 8 7 5 4 4 5 6 6 7 7 7 7 6 7 9 10 9 7 7 6 4 3 3 5 6 6 6 6 5 5 4 3 4 6 8 10 10 10 8 6 7 9 13 15 14 12 8 6 5 6 9 10 9 6 5 6 7 7 7 8 8 7 4 -0 -3 -2 2 6 8 7 5 4 4 6 8 9 9 9 9 8 8 7 6 nan
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nan 18 19 19 19 20 20 18 16 15 14 14 14 14 14 13 13 13 12 10 8 7 8 9 10 11 10 8 6 5 6 6 4 2 1 1 3 6 10 11 10 9 8 7 7 6 6 9 13 16 19 21 20 18 15 14 14 15 17 18 18 17 17 17 16 14 10 7 7 11 15 16 15 12 9 8 8 7 5 5 6 8 9 10 10 11 13 15 15 13 10 8 6 5 5 3 2 5 8 11 11 9 5 4 6 9 11 12 13 16 17 17 14 12 11 14 17 16 14 11 8 7 7 9 10 10 9 11 13 12 8 3 2 6 13 19 21 19 17 15 14 13 12 11 9 6 4 4 6 8 10 11 10 8 6 6 9 12 14 17 19 21 24 24 23 21 17 14 13 13 13 13 14 16 19 19 17 13 9 6 5 5 6 7 8 8 8 7 7 8 nan
nan 14 16 18 19 19 18 15 11 8 8 10 11 12 12 12 12 12 11 10 9 8 8 8 9 9 8 6 4 3 3 3 3 3 3 4 7 10 12 12 10 8 7 7 8 8 9 10 11 12 12 13 14 16 15 14 14 14 16 19 20 20 20 20 18 15 11 7 7 8 11 14 15 15 14 12 11 8 7 6 6 7 8 9 10 11 12 14 14 13 12 10 8 6 5 3 3 5 8 9 9 7 5 4 6 9 11 12 13 17 22 25 23 19 15 15 15 15 14 12 11 9 9 7 6 6 10 17 20 16 9 -0 -7 -5 2 9 15 18 18 17 16 14 13 11 10 8 6 6 7 9 11 13 12 11 9 8 8 9 11 13 14 15 18 20 22 21 18 15 13 12 12 14 17 19 20 17 13 9 7 6 5 5 6 7 8 8 8 7 7 8 nan
nan 12 15 17 18 16 13 10 7 6 7 9 10 11 11 11 10 10 10 10 9 8 8 8 8 8 7 5 4 4 3 3 2 3 4 6 9 11 12 11 9 7 6 7 8 9 10 11 11 10 8 8 8 10 12 12 13 13 14 16 19 21 23 23 21 17 12 9 8 8 9 10 11 13 16 17 15 12 11 11 11 10 9 9 9 11 12 13 13 13 13 12 10 8 7 6 5 5 6 8 8 6 6 6 8 10 11 11 12 16 23 29 30 26 20 15 13 10 9 9 9 10 10 8 5 4 8 15 18 15 9 1 -5 -7 -3 1 5 9 12 14 14 12 10 8 7 8 9 9 10 11 12 13 13 13 12 11 10 10 10 10 9 9 11 16 19 20 19 17 14 13 13 15 18 19 17 12 9 7 6 6 6 6 6 7 8 7 7 7 7 8 nan
nan 12 16 18 18 14 9 6 4 5 7 9 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 4 3 4 7 10 12 12 10 7 6 6 7 8 8 9 11 11 9 8 7 6 7 7 8 10 12 13 13 14 17 21 23 23 20 15 12 11 10 9 8 8 9 12 15 16 15 14 15 16 15 13 11 10 11 13 14 14 13 13 13 13 10 8 5 3 3 4 5 6 6 5 6 8 11 13 12 12 15 20 27 29 27 22 17 13 8 4 3 4 6 7 7 5 5 8 11 13 11 9 7 5 4 3 3 4 5 7 8 8 7 5 3 4 6 9 10 10 9 9 10 13 15 16 15 13 11 9 8 8 8 11 15 19 20 20 19 17 16 16 16 15 14 11 9 7 6 6 7 7 7 7 7 7 7 7 8 8 8 nan
nan 13 18 20 18 12 6 3 4 6 9 10 9 9 8 8 9 9 10 10 9 8 7 7 7 7 7 8 9 8 7 5 3 3 4 8 11 13 12 9 7 6 6 7 7 8 10 11 10 9 8 7 6 4 4 4 7 10 11 11 12 14 18 21 22 21 20 18 16 13 11 8 7 7 8 11 14 17 18 19 20 19 17 14 13 14 16 17 17 15 14 14 14 12 9 5 3 2 3 4 5 5 5 5 8 13 15 15 14 14 16 20 22 21 19 17 14 10 5 2 1 1 2 4 5 7 9 10 10 9 9 10 11 11 10 10 10 9 8 7 7 6 5 4 5 7 8 8 7 6 5 8 14 19 20 18 14 9 7 7 8 11 15 19 22 23 23 23 22 21 18 14 11 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 15 20 20 16 10 5 3 5 7 9 10 9 8 8 8 9 10 10 10 9 8 8 7 7 6 6 6 6 4 2 1 1 3 5 9 12 14 13 9 7 7 7 8 8 8 10 11 9 8 7 7 6 4 3 3 4 6 7 10 12 14 16 17 16 18 20 22 21 17 14 10 8 7 7 10 13 16 18 19 19 19 17 15 15 17 21 23 23 21 17 15 14 13 9 7 5 5 6 6 7 7 6 6 9 13 15 14 13 13 13 14 14 13 13 14 14 12 9 6 4 2 1 0 2 5 8 10 11 9 8 8 9 9 10 12 13 13 12 11 10 9 8 7 7 8 7 7 6 5 5 8 14 18 18 15 10 5 4 7 11 16 21 25 26 27 28 28 27 24 18 13 9 8 8 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 nan
nan 15 19 18 13 8 5 5 6 8 8 9 8 8 9 9 10 10 10 9 8 7 7 6 5 4 4 4 2 -0 -2 -0 2 5 7 9 12 14 13 10 8 8 8 8 8 9 9 9 8 7 6 6 6 4 4 4 4 4 5 8 12 15 16 15 12 13 16 20 22 21 19 15 12 10 8 9 12 14 15 14 13 13 13 13 13 17 23 27 29 27 22 18 16 13 11 9 9 9 9 9 9 9 8 7 8 9 10 8 7 9 11 12 12 10 9 10 10 11 10 10 11 9 5 1 -1 1 4 8 9 8 6 5 5 6 7 9 11 12 12 12 12 10 9 9 9 8 7 6 6 6 7 8 12 13 12 9 6 5 6 10 16 22 26 29 30 30 29 28 26 23 17 13 10 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 nan
nan 14 17 16 12 8 6 6 7 7 7 7 7 8 9 10 10 10 8 7 6 5 5 4 3 2 3 2 0 -0 1 3 5 7 8 9 10 12 13 11 10 8 8 8 8 8 7 7 6 6 6 6 6 6 6 5 4 4 5 7 11 13 15 14 12 11 14 17 21 23 23 21 18 15 12 11 13 13 11 8 5 5 6 7 10 14 21 27 30 30 26 21 17 15 13 12 12 12 12 12 11 10 8 7 5 4 2 1 1 4 8 12 14 14 12 10 9 9 10 12 15 16 14 9 5 2 3 5 7 7 6 5 4 4 4 5 7 9 10 10 9 8 8 9 10 9 8 7 7 7 7 7 8 8 6 4 3 4 9 16 21 25 27 28 27 25 24 22 20 17 14 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 nan
nan 14 17 16 12 9 7 7 7 7 7 6 6 7 8 9 10 9 7 5 4 4 5 5 5 4 4 3 3 4 6 7 8 8 7 7 9 12 14 13 10 8 7 7 8 8 7 6 6 6 6 5 5 6 6 5 4 4 5 7 7 8 10 11 11 11 13 16 19 23 25 26 25 22 19 16 15 14 11 7 2 1 1 3 6 10 17 23 26 27 24 20 17 15 14 13 13 12 12 12 11 10 7 4 1 -0 -1 -2 -1 2 7 11 15 16 16 14 12 10 10 13 16 19 19 18 14 10 8 7 8 9 8 6 5 3 2 0 0 2 4 6 7 8 9 10 10 9 8 7 7 8 8 8 8 7 5 3 1 1 7 16 22 24 23 22 20 18 16 15 13 11 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 nan
nan 16 18 17 13 10 8 8 7 7 6 5 5 6 7 8 9 8 6 5 5 5 6 7 8 9 8 7 8 8 9 8 7 6 6 7 10 13 14 13 10 8 7 8 9 10 10 9 8 7 6 6 6 6 6 5 5 6 7 7 6 4 5 7 9 10 11 14 18 22 25 28 30 30 26 21 16 14 12 9 5 2 1 2 5 9 13 18 21 21 20 17 14 13 12 12 12 12 12 12 12 11 9 6 4 2 2 2 3 4 6 9 12 14 15 14 13 12 13 14 16 19 20 20 19 16 14 14 14 13 12 9 6 4 2 -1 -3 -4 -2 2 6 9 10 10 9 8 7 7 7 9 10 10 10 8 4 2 -0 -1 4 13 19 20 19 17 14 12 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 nan
nan 19 21 18 14 10 9 8 7 6 4 4 5 6 7 8 9 8 7 6 5 5 6 7 9 11 11 10 9 8 7 5 4 4 6 8 10 12 12 11 9 8 8 9 11 13 13 12 10 8 7 7 7 7 7 6 6 7 8 8 6 4 4 6 8 9 9 11 15 20 24 28 31 31 27 21 14 10 9 9 7 4 3 5 8 10 12 14 16 17 16 14 13 12 12 13 13 13 13 13 14 14 14 13 12 10 9 8 8 8 6 6 8 9 9 9 9 11 13 14 15 16 17 18 18 18 18 19 19 18 16 12 9 6 5 3 1 -1 -2 2 7 12 13 13 11 10 9 9 10 11 12 12 11 8 3 0 -1 -1 4 11 15 16 14 12 10 9 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 20 22 19 14 11 9 8 6 4 3 3 5 7 9 11 11 11 9 7 5 4 4 6 8 9 9 8 6 5 4 3 4 6 8 10 10 10 9 8 8 8 9 10 13 14 15 13 11 10 9 9 10 11 10 10 9 10 10 9 7 6 6 8 9 8 8 9 13 17 22 25 25 24 21 16 11 7 5 5 5 4 4 7 10 11 12 12 13 13 13 13 13 13 14 15 15 15 14 13 13 15 16 16 16 15 13 11 10 8 6 4 5 5 5 5 5 7 10 11 11 12 13 14 15 16 18 19 20 21 19 16 12 9 7 7 7 5 2 3 10 16 20 20 17 13 12 12 12 12 12 12 10 7 3 -1 -3 -1 4 10 12 12 10 8 7 7 6 6 6 7 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 nan
nan 20 21 17 13 11 9 8 6 4 2 3 5 8 11 13 14 13 11 8 5 4 4 6 7 7 6 5 5 5 5 5 6 8 9 10 9 8 7 7 8 10 11 12 13 14 14 14 13 13 13 13 13 14 13 12 12 12 11 10 8 8 9 9 9 8 8 8 10 14 17 19 17 14 12 11 9 6 4 3 3 3 4 7 10 12 13 13 13 12 13 14 14 14 15 15 15 14 13 12 10 11 11 12 12 12 11 10 8 7 5 4 4 4 3 4 4 5 6 7 7 8 9 11 12 14 15 16 17 18 17 15 12 10 8 8 7 6 5 6 12 19 23 23 19 15 14 12 11 9 9 9 8 6 4 -1 -4 -2 4 9 11 9 8 7 7 7 7 6 7 7 8 9 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 nan
nan 17 17 15 12 10 9 8 6 4 3 3 6 9 12 14 14 13 12 9 8 8 9 9 9 8 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 11 13 13 13 13 13 14 15 16 16 16 15 15 14 14 13 12 11 10 8 8 9 9 8 9 9 9 9 11 12 12 9 6 6 7 8 7 6 4 3 3 5 8 11 13 15 16 15 15 15 15 15 14 13 12 11 10 11 11 10 8 7 7 8 9 9 8 7 6 6 5 4 4 3 4 4 4 4 5 5 6 7 8 10 12 13 15 15 14 13 13 12 11 10 8 7 8 10 13 15 17 18 18 17 14 12 9 7 6 6 6 6 6 5 -0 -3 -0 4 8 9 8 6 7 8 8 8 7 8 8 8 9 9 9 8 8 7 7 7 6 7 7 7 7 7 7 7 8 8 8 nan
nan 13 14 14 12 10 10 9 7 5 4 4 6 9 12 13 13 12 11 10 11 13 13 12 11 11 11 13 13 13 13 12 11 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 14 15 16 16 15 14 14 13 12 12 11 9 8 8 9 9 8 9 9 9 9 9 10 9 5 3 3 5 6 7 6 5 5 6 7 9 12 14 16 18 18 18 17 16 15 13 11 8 6 7 10 13 12 8 6 5 6 7 8 7 7 8 8 8 6 4 3 3 3 3 4 4 4 4 5 6 7 9 11 14 15 14 13 13 13 13 12 11 10 12 16 19 18 16 14 13 13 11 9 7 5 4 4 4 5 6 6 2 -1 2 6 9 10 8 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 nan
nan 10 13 15 13 11 9 8 8 6 4 4 6 9 11 12 11 9 9 10 12 13 14 13 12 12 13 15 17 17 17 15 13 12 11 11 11 11 12 12 11 10 10 10 10 10 9 9 10 12 12 12 12 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 7 7 9 9 6 3 2 3 4 5 5 6 7 8 10 12 13 14 16 17 17 17 15 14 13 11 9 6 3 4 9 14 14 11 7 6 6 7 7 7 7 9 9 9 7 4 3 2 3 4 6 7 6 6 5 5 5 7 8 11 12 13 14 14 15 15 15 14 15 17 19 19 17 13 10 9 10 9 7 5 5 6 6 5 6 8 8 5 3 5 8 11 12 10 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 8 8 9 nan
nan 10 14 16 15 11 9 8 7 6 4 2 4 7 9 10 9 7 6 7 9 11 11 11 11 12 13 15 17 19 19 19 18 16 14 13 13 12 12 11 9 9 8 8 8 8 7 7 7 8 8 8 7 6 6 7 9 9 10 10 10 9 8 7 7 7 8 7 6 6 7 9 10 7 5 3 2 3 4 6 8 11 12 13 13 13 13 13 13 11 10 10 10 9 7 4 2 2 7 14 15 14 12 9 7 7 7 8 8 8 9 8 8 6 5 5 7 10 13 13 12 10 8 6 6 7 8 9 10 11 12 14 15 16 17 17 17 17 17 15 12 9 5 5 6 7 7 7 8 8 8 7 7 11 12 10 8 9 10 11 11 11 9 8 7 7 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 nan
nan 15 17 17 15 11 8 6 5 5 3 2 2 4 5 6 6 4 4 4 5 6 7 8 8 10 12 13 15 17 19 21 22 21 19 16 14 12 10 9 8 7 7 8 8 7 7 7 7 7 6 5 5 5 5 6 8 9 9 10 10 9 9 8 8 7 7 7 7 6 6 9 11 12 10 7 4 3 4 7 9 12 13 13 13 12 11 11 10 8 7 7 8 8 7 5 4 4 9 14 17 17 15 13 10 8 8 9 9 9 9 9 10 11 12 13 14 16 18 18 16 13 10 8 8 9 10 11 11 11 11 12 13 15 16 17 18 18 16 14 11 8 4 4 5 8 11 11 11 9 7 5 8 13 14 13 11 9 8 8 7 7 8 7 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 nan
nan 23 22 19 14 10 6 4 3 3 2 1 1 2 2 2 3 2 2 2 3 5 5 6 7 9 11 11 11 13 16 19 21 21 19 17 14 11 9 8 8 8 8 9 9 8 8 7 6 6 6 5 6 6 6 7 8 9 9 9 9 9 10 11 11 10 8 7 6 6 7 8 10 12 13 12 10 7 6 8 10 11 12 12 11 11 11 10 9 8 7 7 7 8 8 7 7 9 13 16 16 15 14 13 12 11 10 9 9 9 9 10 11 14 16 18 17 16 14 13 12 10 8 8 8 9 10 11 11 11 11 11 11 12 13 15 16 17 17 16 14 12 9 9 10 13 16 16 13 9 7 7 12 17 17 14 10 8 7 6 5 5 5 5 5 4 5 5 6 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 nan
nan 27 27 21 15 10 6 4 3 2 1 1 2 3 3 2 1 1 0 1 4 6 6 6 8 10 12 11 10 10 11 14 15 16 16 14 12 10 9 9 10 10 10 10 10 10 10 9 7 6 6 7 8 8 8 9 9 9 9 9 9 10 11 13 15 14 12 9 6 5 6 7 8 10 13 15 14 12 9 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 11 13 14 14 12 11 12 12 13 12 10 8 8 8 8 10 12 14 15 14 12 8 6 4 4 4 5 7 8 9 9 9 9 9 9 8 9 10 11 12 14 15 16 16 15 14 14 15 17 19 19 17 14 13 15 21 23 20 15 11 8 8 8 7 5 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 24 25 22 17 13 9 6 4 3 3 4 5 6 7 5 4 2 1 3 5 7 7 8 9 11 12 11 9 9 9 10 11 13 15 14 11 10 10 11 12 13 13 12 12 12 11 10 9 8 7 8 9 9 10 10 10 10 9 10 10 11 12 13 15 15 14 11 8 6 5 5 6 9 12 14 13 11 8 6 5 6 7 8 9 10 10 10 9 9 8 8 8 9 10 10 10 11 11 11 11 10 10 10 11 12 11 9 7 6 6 7 7 7 9 12 15 13 9 5 2 1 2 4 5 6 6 6 6 6 7 7 7 7 8 8 9 11 12 13 14 15 16 16 15 16 16 18 18 18 18 21 25 26 23 17 12 10 10 10 9 8 6 6 7 7 8 8 8 7 7 7 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 10 10 nan
nan 14 18 19 18 16 14 12 10 8 7 7 9 10 10 9 8 7 6 6 6 8 8 8 9 10 11 10 8 8 9 9 11 13 16 16 12 9 9 10 12 13 13 13 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 10 11 11 11 12 13 14 14 13 11 9 7 6 6 8 9 10 9 6 4 3 3 4 5 7 8 10 10 10 9 8 8 8 9 10 11 11 11 12 12 11 11 11 10 10 10 11 11 10 9 7 6 6 4 3 5 10 15 16 12 8 4 2 2 3 4 4 4 4 4 5 5 6 6 7 7 6 7 8 10 12 14 15 16 14 13 13 13 14 13 12 12 16 19 20 18 14 10 9 9 10 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 nan
nan 8 11 14 16 16 16 16 17 15 13 12 11 12 11 11 11 11 10 8 8 9 9 8 7 8 9 9 7 8 9 9 10 13 16 17 13 9 8 9 11 12 11 10 9 9 10 11 11 10 10 8 8 8 8 9 9 10 10 11 11 11 12 12 12 13 14 15 14 13 11 10 10 10 10 9 8 4 1 1 1 2 4 6 8 10 11 10 9 8 7 8 9 11 11 11 13 15 15 13 12 10 10 10 11 11 12 12 11 11 10 8 6 4 5 8 11 13 12 8 5 3 3 3 4 3 3 2 2 2 3 4 4 5 5 4 4 5 8 12 15 16 15 12 10 10 11 10 6 1 2 5 9 11 11 8 6 5 5 6 9 12 14 15 15 13 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 11 nan
nan 9 10 11 12 12 13 16 18 18 17 15 13 11 10 10 10 11 10 10 9 9 8 7 7 8 9 8 7 8 9 9 10 11 12 13 11 8 8 9 10 10 10 9 7 8 9 11 12 13 13 12 10 9 9 8 8 9 10 10 11 11 12 13 15 16 17 17 17 17 16 16 16 15 14 12 9 6 2 2 3 4 5 7 9 10 11 11 9 7 7 8 10 10 10 11 13 15 15 13 10 8 8 9 10 12 13 14 14 14 13 13 11 9 8 9 10 11 10 8 5 4 5 6 6 5 4 3 2 2 1 1 1 1 1 1 1 2 5 11 15 15 13 10 8 8 9 8 4 -1 -2 1 3 5 5 4 2 0 0 1 4 8 12 15 16 15 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 nan
nan 11 10 10 10 9 8 10 13 14 15 14 12 10 9 8 8 8 9 9 9 8 8 7 8 10 10 9 8 9 9 10 10 9 9 9 9 8 8 9 11 12 12 10 9 9 10 12 14 17 18 17 16 14 13 12 12 11 10 10 11 12 13 14 16 19 20 20 19 19 19 19 19 20 19 16 13 9 7 6 7 8 9 9 10 10 10 9 8 7 8 9 11 10 9 10 11 13 12 10 8 7 6 7 9 11 13 15 15 16 15 15 14 13 12 12 12 11 11 10 8 7 8 9 8 8 7 6 5 4 3 2 1 -0 -1 -1 -1 0 4 10 14 14 12 10 9 10 10 9 7 4 3 3 3 4 4 3 1 -1 -1 -1 1 5 8 12 14 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 nan
nan 11 9 8 8 7 6 6 7 8 9 10 9 8 7 7 6 6 7 8 8 8 8 8 9 11 11 10 10 10 10 11 10 8 7 7 7 8 9 10 12 14 16 15 13 11 11 12 15 17 19 19 18 17 18 19 19 18 16 14 13 14 14 14 16 18 20 20 18 16 15 15 16 18 20 20 18 16 14 13 13 14 15 14 11 9 7 6 6 7 9 11 12 11 8 8 9 10 10 9 7 6 6 8 10 11 12 13 14 14 14 14 14 15 15 15 14 14 13 13 11 11 11 11 10 9 9 8 8 8 8 7 6 4 2 1 0 2 5 9 12 13 12 11 11 13 13 12 10 8 7 6 5 4 4 3 2 1 1 1 3 5 8 11 13 14 14 14 13 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 8 8 8 nan
nan 9 8 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 7 8 9 9 9 10 10 11 12 11 11 11 12 12 11 9 6 5 6 7 8 9 12 15 17 18 16 13 11 12 13 14 13 14 14 15 19 23 26 27 25 21 18 17 15 14 14 15 16 15 12 8 6 6 8 10 14 18 21 22 22 20 20 21 21 20 14 7 4 3 4 6 10 12 13 12 8 7 8 9 9 9 8 7 8 10 11 11 11 11 11 11 11 12 13 14 15 16 16 16 16 15 15 15 14 13 12 11 10 10 10 11 11 12 11 11 10 8 8 8 10 11 12 12 11 11 11 13 14 13 10 8 7 7 7 6 6 5 4 4 4 5 6 8 10 12 13 13 13 13 12 12 12 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 nan
nan 10 9 8 8 7 8 8 8 8 7 6 5 5 5 6 7 7 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 10 6 5 5 6 8 9 11 13 15 15 14 12 11 10 11 10 9 8 8 11 16 23 29 32 31 27 22 19 16 13 10 10 10 9 7 3 0 1 2 4 7 11 16 21 23 23 24 24 23 21 16 8 3 2 4 6 10 13 15 13 9 7 7 8 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 12 13 15 17 17 18 18 17 17 17 16 15 14 12 12 12 13 14 15 15 16 17 17 17 16 15 14 12 11 9 9 10 12 13 12 10 7 6 7 9 9 8 7 6 6 8 9 11 13 14 14 14 13 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 10 9 8 8 9 9 10 10 10 10 9 8 8 8 8 9 9 9 11 12 13 13 13 12 11 10 9 9 10 11 12 12 11 8 6 6 8 10 11 11 12 13 12 11 10 10 10 10 10 8 7 6 8 13 20 27 31 30 26 21 18 14 10 7 6 6 6 5 3 1 0 1 2 4 7 11 14 17 18 18 18 17 15 12 8 6 5 6 8 11 14 15 14 11 8 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 13 15 17 18 18 18 18 18 18 17 17 16 15 16 16 17 17 18 18 19 21 21 19 18 15 13 11 9 9 10 11 12 11 9 8 7 8 10 11 10 8 7 8 10 12 16 19 19 16 14 12 10 9 7 7 7 7 8 8 8 9 9 9 9 8 9 9 9 9 9 9 10 9 9 9 nan
nan 9 8 8 9 10 11 12 13 14 14 13 12 12 11 11 12 12 12 13 14 14 13 13 12 11 9 9 9 10 10 11 13 13 11 9 9 11 12 12 11 10 11 10 9 8 9 10 11 11 10 9 8 8 11 15 20 22 21 17 14 11 9 6 4 4 4 6 6 6 5 3 2 2 4 6 8 10 10 10 10 10 9 8 7 6 7 9 10 11 12 13 14 13 11 9 8 7 8 9 10 10 9 8 8 7 8 9 10 11 12 12 12 11 11 12 14 16 17 18 18 18 18 17 17 17 17 16 17 17 18 19 19 20 21 22 21 19 18 16 14 11 9 8 8 8 9 9 8 8 8 9 10 10 9 8 7 8 10 14 20 24 21 17 13 11 9 7 7 6 7 8 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 8 7 7 8 10 12 13 15 16 16 15 14 13 13 13 13 13 14 14 14 13 11 10 9 9 7 8 10 11 11 12 13 14 13 11 10 11 11 10 9 9 10 10 8 8 9 11 12 12 11 10 9 8 9 11 12 12 11 8 6 5 4 3 2 2 3 5 6 7 7 6 4 3 4 6 7 7 7 6 6 6 7 6 5 5 7 10 13 14 14 12 11 10 9 9 8 8 9 10 10 9 8 7 7 7 8 10 11 13 14 15 15 14 13 13 13 13 15 15 15 16 16 16 16 15 14 13 14 14 15 17 18 21 22 23 23 21 20 19 17 14 11 8 7 7 7 8 8 9 10 10 10 9 8 7 7 8 11 17 22 24 21 17 13 11 10 9 9 9 9 10 10 10 10 10 10 9 8 8 8 7 7 8 8 9 9 9 9 9 nan
nan 8 7 6 6 8 10 12 14 15 15 14 14 13 13 13 13 13 14 14 12 10 8 6 5 4 4 6 10 12 12 12 12 12 11 10 9 9 9 8 7 7 9 10 9 8 9 10 12 13 12 11 10 9 8 8 8 7 6 4 3 2 1 1 0 1 2 4 6 7 7 6 5 4 4 5 5 5 4 4 5 6 8 8 7 7 8 10 13 14 13 11 9 8 9 9 9 8 9 10 10 9 9 8 8 9 10 11 12 15 16 16 15 13 12 11 11 11 11 11 11 12 13 14 14 13 12 10 8 9 10 11 14 17 19 21 23 24 25 25 24 21 17 12 11 10 11 11 11 10 10 10 9 7 6 7 8 10 14 19 21 20 18 15 13 12 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 nan
nan 10 8 6 6 6 7 9 10 10 10 10 12 13 12 12 12 12 13 14 12 9 5 3 2 1 2 5 10 13 14 13 12 11 10 9 8 7 5 4 5 7 9 10 10 9 9 10 13 14 14 12 10 9 7 6 5 5 5 4 3 1 -0 -1 -1 0 2 4 5 6 7 6 6 5 5 5 4 3 3 4 5 7 8 9 9 9 9 11 12 12 12 10 8 8 8 9 9 9 9 8 8 9 9 10 10 11 11 12 13 14 14 13 11 9 8 8 8 8 8 8 8 10 11 13 14 12 9 5 2 2 4 6 9 12 14 16 19 22 25 27 27 25 22 19 19 19 18 16 12 9 7 6 5 5 5 6 9 13 17 18 17 16 14 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 nan
nan 13 11 9 7 7 7 7 8 8 8 8 10 12 12 12 12 12 14 14 12 9 6 3 1 -0 2 6 11 14 14 13 12 11 10 9 8 5 2 2 3 8 10 11 11 10 10 11 13 15 15 13 11 8 6 4 3 3 3 2 0 -2 -3 -3 -2 -0 2 4 5 6 7 7 7 7 7 6 4 3 4 4 6 8 9 9 9 9 10 10 11 11 10 9 8 8 8 9 10 10 10 8 7 8 9 10 11 12 12 13 14 13 11 8 6 4 4 5 6 8 8 9 10 11 12 14 14 10 5 0 -3 -3 0 4 7 8 10 12 14 16 19 21 21 20 20 21 22 23 22 18 12 6 4 4 5 5 6 7 9 13 17 16 13 11 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 nan
nan 14 13 12 11 10 9 9 10 10 10 9 11 12 12 12 13 14 16 16 14 11 9 5 2 1 4 9 12 14 14 13 12 11 11 10 9 5 1 0 3 8 12 13 12 12 11 12 14 15 15 13 10 8 5 3 1 1 -0 -2 -4 -5 -6 -4 -2 1 3 5 7 7 8 8 8 8 8 7 6 6 6 7 8 10 10 9 9 10 10 10 10 10 9 8 8 8 8 10 11 11 10 9 8 8 9 10 10 11 12 12 13 12 8 6 4 3 3 4 6 7 9 11 12 13 15 16 14 7 1 -3 -5 -3 0 4 6 7 8 10 11 12 13 12 12 13 14 17 19 21 21 19 14 10 9 10 11 12 12 11 12 14 15 13 11 9 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 11 12 12 11 10 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
9 8 7 7 7 6 3 2 2 2 2 3 4 3 4 3 3 3 3 3 3 4 3 4 4 4 4 5 5 6 7 7 6 5 6 6 6 5 5 5 4 4 5 5 5 5 6 5 7 8 9 10 11 11 12 12 12 12 12 14 14 14 14 13 14 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 21 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 52 288 762 1110 981 607 359 248 201 195 251 377 543 742 1054 1513 2016 2477 2943 3352 3574 3593 3549 3552 3542 3524 3498 3459 3407 3339 3239 3086 2888 2674
8 6 5 4 4 3 1 1 2 2 3 4 4 3 2 3 3 3 3 4 4 4 3 4 4 4 4 5 5 6 7 7 6 6 5 5 4 4 4 4 4 3 4 5 4 4 5 5 6 8 8 10 11 11 11 12 12 12 12 13 12 14 13 14 14 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 51 161 126 46 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 39 265 697 1002 889 509 257 171 156 180 259 418 666 1011 1489 1944 2217 2408 2666 2983 3238 3360 3419 3473 3462 3424 3394 3362 3313 3236 3122 2965 2776 2582
6 5 4 4 4 3 2 2 2 1 3 4 3 2 2 2 1 2 2 3 4 4 3 4 3 3 4 4 5 6 6 6 6 5 5 4 3 2 2 2 3 2 3 4 3 4 4 5 6 8 9 11 12 11 11 12 12 11 12 14 14 14 13 14 14 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 80 261 408 276 87 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 208 598 934 904 571 325 261 266 310 423 623 933 1342 1741 2009 2061 2122 2273 2505 2778 3052 3292 3450 3478 3437 3389 3326 3241 3133 3002 2851 2688 2524
4 4 3 4 3 3 3 3 3 2 3 3 2 2 2 2 1 1 2 4 4 3 4 3 2 2 3 4 5 5 5 4 4 3 3 3 2 2 1 2 2 2 2 3 3 3 4 5 6 8 9 11 11 10 10 11 12 11 11 13 14 14 14 15 14 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37 242 494 535 296 70 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 147 481 840 932 705 487 445 464 518 670 916 1221 1526 1725 1866 1966 2033 2115 2203 2337 2584 2944 3297 3477 3466 3385 3286 3174 3047 2908 2769 2633 2502
4 3 4 4 4 5 4 4 3 2 1 2 2 1 2 2 2 2 3 4 5 3 3 2 2 2 2 3 4 3 4 3 2 2 2 1 1 1 2 1 1 1 2 3 3 2 4 5 6 8 9 10 11 9 9 10 11 11 12 14 14 14 14 15 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 159 435 578 474 231 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 2 83 351 734 951 827 637 577 614 704 844 1075 1318 1491 1606 1767 1911 1981 1980 1901 1836 1909 2215 2723 3222 3441 3425 3263 3105 2969 2843 2719 2603 2496
4 4 5 5 4 4 3 3 2 1 1 2 2 2 2 1 1 2 3 3 3 2 1 1 1 1 1 1 2 2 3 2 1 1 1 1 1 1 1 2 1 1 1 2 2 2 4 5 7 8 9 11 10 9 9 10 11 11 12 13 14 14 14 13 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 32 305 510 502 335 144 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 33 211 567 848 810 633 523 644 851 962 1112 1269 1370 1457 1612 1761 1814 1715 1445 1213 1123 1188 1537 2232 2957 3416 3295 3074 2896 2773 2672 2577 2489
6 5 4 3 3 2 1 2 2 2 1 1 2 2 3 1 1 1 2 2 2 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 2 2 2 4 5 7 8 10 11 10 9 9 10 11 12 12 13 14 15 14 11 5 1 0 0 0 0 0 0 0 0 0 0 7 31 18 6 8 37 170 420 472 363 198 77 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 87 317 580 635 472 415 663 967 1063 1114 1183 1251 1327 1443 1559 1571 1378 979 634 464 349 393 848 1786 3004 3235 3050 2856 2724 2632 2553 2477
5 4 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 2 2 2 3 4 6 7 8 10 10 9 9 9 10 11 12 12 14 13 14 13 8 3 1 0 0 0 0 0 0 0 0 0 6 61 246 129 70 74 128 251 347 320 201 83 32 16 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 128 340 423 304 337 646 1051 1151 1116 1133 1194 1261 1332 1387 1353 1157 768 376 164 55 39 235 923 2243 2989 2989 2829 2692 2600 2527 2455
4 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 3 4 6 7 8 10 9 8 9 10 11 11 12 12 14 12 12 12 6 1 0 0 0 0 0 0 0 0 0 4 45 209 676 365 252 225 243 259 235 169 85 30 19 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 38 156 217 184 239 518 997 1193 1135 1107 1159 1229 1280 1298 1234 1018 633 243 62 8 2 49 509 1662 2637 2890 2793 2661 2564 2493 2428
3 3 3 3 3 2 2 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 2 2 3 5 6 7 9 9 8 10 11 11 12 12 13 14 12 11 7 3 1 0 0 0 0 0 0 0 0 1 24 146 442 833 519 397 287 224 166 112 67 38 23 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 65 96 97 150 389 845 1176 1155 1072 1090 1162 1219 1222 1128 872 450 111 16 0 0 18 412 1394 2368 2780 2746 2629 2535 2466 2404
4 3 3 3 2 2 2 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 4 6 7 8 8 8 9 10 10 12 12 13 12 8 6 2 1 0 0 0 0 0 0 0 0 0 21 127 424 598 564 457 361 218 148 100 66 42 27 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 29 42 48 96 282 652 1045 1148 1016 971 1034 1114 1128 1008 707 289 46 7 0 0 19 404 1283 2198 2659 2683 2586 2510 2446 2383
5 4 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 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 1 1 1 3 4 6 8 8 8 8 9 10 10 11 12 13 11 7 4 1 0 0 0 0 0 0 0 0 0 0 119 415 500 323 241 343 297 174 99 78 55 50 59 52 24 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 4 13 22 28 50 157 424 800 1038 930 842 900 1002 1031 889 561 184 23 3 0 0 66 493 1305 2119 2544 2606 2537 2481 2420 2353
6 4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 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 1 1 1 2 4 5 7 8 8 8 9 11 11 11 12 12 14 9 5 2 0 0 0 0 0 0 0 0 0 0 37 283 1044 845 268 76 179 230 211 129 116 145 175 170 122 57 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 32 84 244 534 825 837 751 808 912 940 800 500 176 29 1 0 20 216 746 1493 2147 2475 2543 2500 2453 2386 2312
6 5 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 5 7 9 9 9 10 11 11 12 12 12 13 8 2 0 0 0 0 0 0 0 0 0 0 0 59 361 1126 1226 408 68 116 190 213 217 239 298 261 166 85 32 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 15 26 61 176 398 647 705 666 702 793 837 760 557 312 150 84 90 209 567 1153 1771 2227 2450 2497 2467 2423 2349 2265
7 5 3 2 1 1 1 1 0 0 1 0 0 0 0 0 0 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 1 1 1 2 3 6 8 9 9 8 8 10 12 12 13 13 11 5 0 0 0 0 0 0 0 0 0 0 0 0 33 210 593 856 528 109 170 202 268 347 291 214 122 47 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 30 89 222 405 551 592 588 598 634 691 705 648 544 450 408 448 658 1063 1552 1989 2287 2427 2449 2422 2379 2308 2216
6 5 3 2 1 1 1 1 0 0 0 0 0 0 0 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 1 1 1 1 0 2 4 6 8 9 8 8 8 10 12 12 13 12 7 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 76 247 298 173 232 168 306 524 513 237 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 8 53 194 358 464 487 486 474 455 467 508 547 579 610 647 704 818 1051 1403 1773 2086 2287 2371 2373 2346 2303 2231 2132
4 4 3 1 1 1 0 0 0 0 0 0 0 0 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 1 1 0 1 1 1 2 4 6 8 8 8 7 8 9 11 12 14 12 5 0 0 0 0 0 0 0 0 0 0 0 0 6 15 11 56 111 182 296 170 63 91 273 308 140 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 1 9 85 374 534 539 495 467 430 375 332 305 301 335 405 497 616 799 1103 1501 1833 2080 2222 2270 2261 2228 2182 2115 2027
4 3 2 1 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 1 2 3 4 6 9 8 8 8 9 10 11 12 14 11 4 0 0 0 0 0 0 0 0 0 0 3 14 43 77 18 4 53 88 98 23 0 0 0 0 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 5 79 457 594 558 484 424 373 311 225 151 115 120 158 217 308 498 879 1420 1787 2008 2119 2146 2122 2081 2039 1986 1914
5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 3 4 6 9 8 8 9 10 10 11 12 14 9 3 0 0 0 0 0 0 0 0 0 0 12 49 103 130 20 3 5 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 40 356 488 474 430 395 341 261 175 99 54 33 38 57 95 224 579 1196 1650 1890 1996 2012 1983 1946 1920 1887 1824
5 4 3 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 2 2 1 3 4 5 6 8 8 8 10 11 11 12 13 12 5 0 0 0 0 0 0 0 0 0 0 0 12 47 78 62 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 197 338 369 352 329 292 228 157 103 56 24 11 16 43 130 379 897 1393 1672 1806 1844 1837 1826 1824 1809 1759
6 5 4 3 3 2 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 2 2 1 3 5 6 7 7 7 7 10 11 12 13 12 8 2 0 0 0 0 0 0 0 0 0 0 0 3 13 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 85 251 338 322 275 236 202 171 154 122 69 34 39 76 147 282 541 922 1261 1476 1578 1632 1677 1715 1722 1667
7 6 5 5 5 5 5 4 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 2 2 3 3 3 3 5 7 8 7 7 8 9 11 13 14 10 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 8 55 220 359 361 303 267 268 280 291 234 149 106 109 154 236 338 433 549 767 1002 1168 1299 1431 1547 1600 1579
7 6 7 6 6 6 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 3 4 5 4 3 4 6 8 9 7 7 8 10 13 15 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 79 217 332 356 325 318 352 387 375 314 245 226 241 305 413 544 645 640 572 602 713 897 1115 1316 1444 1480
8 8 8 7 8 8 9 8 6 3 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 3 4 5 6 7 6 5 4 5 7 10 8 6 7 9 12 14 15 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 34 129 255 261 267 266 307 385 442 430 362 307 305 339 416 525 649 752 778 690 553 494 694 950 1154 1290 1365
8 8 8 9 10 9 10 9 7 4 2 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 5 7 8 8 8 6 5 5 6 8 8 7 5 7 10 13 15 15 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 63 205 355 262 233 258 320 399 434 403 352 319 316 351 420 510 607 699 756 743 660 529 668 884 1046 1156 1250
9 8 9 10 11 10 11 9 6 3 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 4 5 5 6 7 8 8 8 8 7 6 6 7 8 8 6 6 7 11 14 16 14 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 90 294 487 353 287 333 377 422 444 435 407 377 359 372 395 424 489 575 640 655 621 512 549 702 855 987 1116
10 10 10 11 11 10 11 7 4 2 2 2 1 1 2 2 2 2 2 2 2 2 3 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 9 8 8 7 6 7 8 9 8 6 6 8 12 16 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 90 356 589 457 373 408 418 428 436 436 426 402 383 375 352 332 342 390 446 477 480 426 445 561 701 848 1001
11 11 11 11 11 10 8 5 3 2 2 2 2 2 2 2 3 2 2 4 5 5 6 7 7 7 7 7 8 8 7 8 8 7 7 8 8 9 8 7 6 6 6 6 7 8 7 7 7 9 13 16 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 56 357 610 517 414 419 403 393 395 391 376 356 340 323 274 227 206 233 284 327 362 384 427 522 646 788 943
12 12 11 12 12 8 5 3 3 3 2 3 2 3 3 2 3 4 5 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 6 6 6 6 6 7 8 7 7 8 11 14 16 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 321 573 542 426 404 398 375 348 321 297 281 271 261 211 155 135 154 197 246 292 341 405 507 637 781 937
13 12 12 13 11 6 4 3 3 3 3 3 3 3 4 4 6 8 8 9 9 10 9 9 9 8 8 8 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 5 6 9 12 16 16 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 276 533 572 464 389 387 374 335 287 252 232 224 221 192 156 137 146 174 211 254 307 383 502 646 793 943
13 13 12 11 8 4 3 3 3 3 3 4 4 5 7 8 9 10 9 10 10 10 9 9 9 8 8 7 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 4 3 4 6 9 13 17 16 9 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 0 207 483 613 547 421 381 380 354 303 262 234 223 227 214 198 183 179 186 201 228 275 358 511 657 827 979
14 13 12 9 6 4 3 3 4 4 5 6 7 8 9 10 11 10 9 10 10 10 9 9 8 8 7 8 7 8 7 7 7 7 7 7 7 6 6 6 6 6 5 4 2 3 4 7 11 14 16 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 368 607 659 548 439 410 395 352 312 283 268 266 258 250 236 222 210 206 216 254 337 523 656 852 1005
14 14 13 9 6 5 5 6 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 8 7 8 8 8 7 8 7 7 7 7 6 5 5 5 4 4 4 3 2 1 3 6 10 12 11 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27 200 473 690 728 626 541 498 460 422 383 352 330 313 295 271 248 232 220 219 247 331 506 672 872 1020
15 14 13 10 8 8 9 10 11 11 10 10 10 11 11 11 10 10 11 10 10 10 9 9 8 7 8 7 7 7 7 8 8 7 6 5 4 3 3 2 2 2 2 2 3 5 10 11 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 65 240 521 754 803 713 654 591 541 487 438 396 356 320 290 262 245 232 223 244 327 487 670 870 1025
16 15 14 13 11 12 12 12 12 12 11 11 10 11 10 11 10 10 10 10 9 9 9 8 8 7 8 7 7 7 6 6 6 6 4 3 2 2 1 1 0 0 2 2 4 6 10 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 66 235 519 743 773 751 672 618 562 507 447 378 319 292 273 264 253 246 260 327 470 649 845 1016
16 15 14 14 13 13 13 12 12 11 11 11 10 11 11 11 10 10 10 9 9 10 9 8 7 7 8 8 6 6 5 5 4 3 2 1 1 1 0 0 0 0 3 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 47 211 431 586 657 630 596 553 501 443 380 323 298 281 290 285 284 296 342 454 632 837 1021
15 15 14 14 13 12 12 11 11 9 10 10 10 10 10 11 10 9 9 9 8 9 8 8 7 7 7 7 5 5 5 4 3 2 1 0 0 0 0 0 0 1 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 44 153 299 409 456 463 443 404 363 326 298 291 296 304 311 320 336 373 462 627 842 1042
14 14 13 12 11 11 11 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 8 8 8 7 6 4 3 4 3 2 1 1 0 0 0 0 0 1 2 4 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 0 0 0 11 49 117 197 265 302 306 288 263 245 241 254 285 303 324 346 372 410 485 626 838 1054
14 13 13 12 12 11 10 9 8 8 8 9 8 8 8 8 7 8 7 8 8 8 8 9 8 7 6 4 3 2 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 30 64 109 155 192 208 200 183 171 174 194 232 270 312 356 399 444 510 628 815 1036
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