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 5 9 13 18 20 21 21 21 20 20 20 19 17 15 13 11 9 8 6 5 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 4 3 4 5 5 6 6 6 6 7 7 6 7 13 21 28 30 28 24 20 16 10 3 -3 -7 -7 -3 1 3 3 3 3 4 5 5 4 2 1 2 3 4 5 4 4 3 3 4 7 10 10 9 8 9 11 13 14 15 16 16 14 12 9 7 7 8 9 10 10 8 6 4 4 7 13 15 14 12 11 10 9 9 10 10 6 1 1 3 6 6 6 5 5 9 12 11 11 11 13 15 17 18 16 15 14 14 14 14 13 11 8 6 5 4 6 9 12 12 10 6 2 0 1 6 12 14 14 13 10 9 8 9 10 10 9 9 9 8 7 6 6 7 8 8 7 6 7 8 10 12 14 nan
nan 3 6 9 12 15 17 19 21 22 23 24 23 21 19 16 13 10 9 7 5 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 4 4 3 3 4 5 5 5 5 6 6 6 5 8 14 23 30 32 29 23 18 12 6 0 -5 -8 -7 -3 1 3 4 4 4 5 6 7 6 4 4 6 8 9 8 8 6 5 5 7 9 10 9 8 8 10 12 12 12 12 14 15 16 14 12 10 8 9 10 10 10 8 6 5 5 8 12 14 14 13 11 9 8 9 9 9 6 2 0 2 4 6 7 6 5 7 11 13 13 13 13 14 16 16 15 14 13 12 13 13 12 10 7 5 3 2 3 6 7 8 7 5 3 2 3 6 11 14 14 12 10 8 9 10 11 10 9 7 7 6 4 2 0 -0 -0 0 1 2 4 6 9 12 14 nan
nan 3 4 5 8 10 12 15 18 22 26 28 28 27 23 19 15 12 9 8 6 5 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 5 4 3 3 4 5 5 5 5 5 5 5 5 8 16 25 32 33 29 22 15 9 4 -2 -8 -10 -9 -4 0 2 3 5 6 8 10 10 9 7 8 10 11 12 12 11 9 8 8 9 10 10 9 7 7 9 11 11 10 10 11 13 15 15 13 11 9 9 10 10 9 8 6 6 7 8 11 13 15 14 12 9 8 8 9 9 8 6 3 1 2 5 8 9 8 7 9 11 11 11 11 11 12 13 12 12 11 11 11 12 12 10 7 5 4 3 3 4 4 5 5 4 3 3 4 6 10 12 12 10 9 8 9 10 11 10 9 7 6 4 2 -1 -4 -6 -6 -5 -3 -0 2 5 8 11 13 nan
nan 4 3 4 5 6 8 10 14 19 25 29 32 32 28 22 17 13 10 8 7 5 5 4 4 4 5 5 5 5 5 4 3 3 2 2 3 4 5 5 3 3 4 4 5 5 5 5 5 5 4 5 10 20 30 36 34 27 19 12 6 2 -4 -9 -11 -8 -4 -0 2 4 7 10 12 14 13 11 9 9 11 13 14 14 13 12 10 10 11 11 10 8 7 7 8 10 10 9 8 9 11 13 13 12 11 10 10 10 10 7 5 6 7 8 8 9 11 14 15 13 8 7 8 9 9 10 11 8 4 2 5 8 10 10 9 8 8 8 7 7 8 9 10 10 9 9 10 10 11 11 10 9 7 5 4 3 4 4 4 4 4 3 3 4 6 9 10 10 9 9 9 9 10 10 10 9 8 7 5 2 -2 -5 -7 -8 -7 -4 -1 1 4 7 10 12 nan
nan 5 4 3 3 3 4 6 9 13 20 26 32 36 35 29 21 15 11 8 7 6 5 4 4 4 5 5 5 5 5 4 3 2 2 2 3 5 6 5 3 3 4 5 5 5 5 6 6 4 3 6 14 26 37 40 35 25 16 9 4 -1 -5 -8 -8 -5 -1 2 4 7 10 13 15 15 12 9 7 8 10 12 14 15 15 13 12 12 12 11 9 6 6 7 8 9 9 9 9 9 10 11 10 9 9 9 10 11 9 5 2 4 6 8 8 9 11 14 15 13 8 6 8 9 9 11 13 12 7 5 5 8 10 12 12 10 8 6 5 5 7 8 8 8 8 8 8 8 9 10 9 9 7 6 5 4 4 5 5 4 3 2 3 4 6 8 9 9 10 10 10 10 10 10 9 10 10 9 7 3 -1 -4 -6 -6 -6 -4 -2 1 3 6 8 10 nan
nan 6 5 4 3 3 3 4 5 8 14 20 28 35 39 36 27 19 13 9 7 6 5 5 4 4 5 5 5 5 4 4 3 2 3 4 5 7 7 5 3 3 4 5 5 5 5 6 6 4 3 8 19 33 42 44 36 23 13 6 2 -2 -5 -6 -4 -1 3 5 7 11 14 16 15 12 9 6 6 8 11 13 14 15 16 15 14 13 12 10 7 5 6 7 9 9 9 9 9 9 9 9 8 7 7 9 11 11 10 5 0 -1 2 5 7 9 12 14 15 13 9 6 8 11 12 13 15 14 10 6 6 7 9 11 13 12 10 8 6 5 6 7 7 7 6 6 6 7 7 7 7 7 6 5 5 5 6 6 5 4 2 1 2 3 5 7 8 10 11 11 11 11 11 11 10 10 9 8 6 3 0 -2 -3 -4 -3 -2 -1 1 3 5 7 9 nan
nan 8 7 5 4 3 3 3 3 5 8 14 21 29 35 36 31 22 15 10 7 6 5 5 5 5 5 5 6 5 4 3 2 3 4 7 8 9 7 5 3 4 5 5 5 5 6 6 5 4 4 12 25 39 47 44 34 21 10 4 1 -2 -3 -2 0 2 4 6 10 15 17 15 12 8 4 4 7 12 15 16 17 17 17 16 15 13 11 8 6 5 6 8 9 9 8 7 7 7 7 7 7 7 8 9 10 11 10 8 3 -1 -1 3 7 10 11 13 13 11 8 6 9 12 14 15 16 15 11 7 6 7 9 11 12 13 11 10 7 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 3 1 1 2 3 5 6 7 9 10 11 11 12 12 12 10 8 5 4 3 1 0 -1 -1 -1 -0 -0 0 2 4 6 7 8 nan
nan 8 8 7 5 4 3 2 2 3 5 9 15 22 28 31 30 24 17 11 8 7 6 5 5 5 5 6 6 5 3 2 2 3 6 9 10 9 7 5 4 4 5 5 5 5 6 6 5 4 6 17 32 45 48 42 30 17 8 3 0 -1 0 2 2 2 2 6 12 16 16 12 7 3 2 5 12 19 21 21 20 19 18 17 15 13 10 7 6 6 8 9 8 7 6 5 5 6 6 7 8 9 9 10 9 9 9 9 8 6 4 5 8 9 9 9 8 7 5 5 8 12 14 15 15 13 11 8 6 6 8 10 11 11 11 10 8 5 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 3 2 1 2 3 4 5 6 7 8 8 8 8 9 9 9 7 3 1 -0 -1 -0 -0 0 1 1 2 2 3 4 5 6 7 8 nan
nan 8 8 8 7 6 4 3 2 2 3 6 11 18 24 28 28 24 18 13 9 7 7 6 6 6 6 6 5 4 3 2 2 4 6 8 9 8 6 5 4 5 5 5 5 5 6 6 4 5 10 22 38 48 47 37 23 12 5 1 -0 1 3 4 2 -1 -0 5 11 14 12 7 2 -0 3 10 20 27 28 25 23 21 18 16 14 12 9 7 7 7 8 7 6 5 4 4 5 6 7 8 9 10 11 10 9 6 5 6 8 10 9 9 9 8 6 6 6 5 4 5 8 12 13 13 12 11 9 6 4 4 5 7 8 9 9 8 5 2 -0 -1 0 1 2 3 3 3 3 3 4 4 4 4 5 5 5 4 3 1 2 3 4 5 5 6 6 6 6 4 3 1 1 1 -0 -1 -2 -2 -2 -1 0 1 2 3 4 5 6 6 6 6 7 7 nan
nan 7 7 8 8 7 6 5 3 2 2 4 7 14 22 28 30 27 22 16 12 9 8 7 7 7 6 6 5 4 3 2 2 3 4 6 6 6 6 5 5 5 5 5 5 5 6 5 4 6 14 28 41 48 42 29 16 7 2 -0 1 3 5 4 -1 -4 -3 3 9 11 7 2 -2 -1 6 19 30 34 32 28 24 20 17 14 12 10 8 7 6 6 6 5 5 4 4 5 7 8 9 9 10 11 12 11 9 6 1 0 3 7 9 9 9 8 6 6 7 6 5 6 8 10 11 10 9 8 7 5 3 2 2 3 5 7 7 5 2 -1 -2 -2 -0 1 2 2 3 3 3 3 3 3 4 4 4 4 4 3 2 2 3 4 5 6 6 6 6 6 5 2 -1 -5 -7 -7 -6 -4 -3 -2 -1 0 1 3 4 5 6 7 7 6 6 6 6 7 nan
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nan 7 7 7 7 7 7 7 7 6 7 6 4 1 1 9 23 38 50 51 41 27 16 11 8 7 6 5 5 4 4 3 3 2 2 2 3 5 6 7 7 6 5 5 6 6 5 4 7 16 28 36 35 27 17 8 3 0 0 2 2 4 5 5 4 4 4 5 5 3 -1 -3 -1 4 9 14 15 15 12 11 10 8 7 6 6 7 8 9 9 10 11 11 11 10 9 9 8 8 9 9 10 11 11 11 11 10 9 8 6 4 4 5 8 10 10 9 7 6 6 7 8 8 9 10 10 10 9 9 9 8 7 6 6 5 5 5 5 4 4 4 4 4 5 6 6 5 5 6 6 6 5 4 3 2 3 3 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 3 4 4 4 4 3 2 2 2 3 5 6 6 6 nan
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nan 8 8 8 7 7 7 7 7 7 6 6 6 6 4 2 5 13 23 31 34 30 22 16 12 9 7 6 6 5 4 3 3 2 2 2 4 6 8 8 8 6 5 5 6 6 4 6 15 26 35 37 31 20 10 2 -2 -3 -1 0 1 2 3 4 5 6 7 5 2 -0 -0 2 5 8 8 6 6 8 10 10 9 8 8 7 7 7 8 9 10 10 10 9 8 7 6 6 5 5 6 7 8 8 8 7 7 7 8 10 12 14 14 13 12 10 9 8 7 7 6 4 3 4 7 10 11 11 11 11 11 10 8 6 4 4 4 6 6 7 7 6 6 6 6 6 6 6 7 8 8 7 5 4 3 3 4 4 5 5 6 6 6 6 6 6 5 4 4 3 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 7 7 7 7 7 7 6 6 5 4 3 7 13 19 24 26 24 20 15 11 9 7 6 5 4 3 3 2 2 3 4 6 8 8 8 6 5 5 6 6 5 9 20 32 39 38 30 18 7 -0 -3 -2 1 2 3 2 2 4 7 9 8 5 2 1 2 5 9 10 8 6 6 8 11 12 12 11 10 8 7 7 8 9 9 9 8 7 7 6 6 6 6 6 6 7 8 8 7 6 6 6 8 11 14 16 17 14 11 9 8 7 7 6 5 4 3 5 9 13 14 12 11 10 10 9 7 5 4 4 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 nan
nan 7 8 9 9 9 8 7 7 7 7 7 7 6 5 4 3 4 8 14 19 23 24 22 19 15 11 9 7 5 4 3 2 2 2 3 5 7 8 8 7 5 4 4 6 6 8 14 26 38 43 39 29 16 4 -3 -3 0 4 5 3 2 1 5 9 11 8 4 2 3 5 8 11 12 10 7 6 7 9 11 12 13 11 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 7 6 6 7 9 13 16 17 14 10 8 8 7 7 6 5 5 5 8 12 16 16 14 12 10 9 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 4 nan
nan 7 8 8 9 9 9 8 7 6 6 7 7 7 6 4 3 3 6 11 17 22 25 25 22 19 15 11 8 6 4 3 2 2 2 4 5 7 7 7 6 5 3 4 6 8 11 19 32 43 46 39 27 13 2 -3 -2 2 5 5 3 1 1 6 10 9 5 2 2 4 7 10 12 12 10 7 6 7 8 10 11 11 11 10 9 8 8 7 7 6 6 6 8 8 9 10 10 11 11 11 11 10 9 8 7 6 6 8 12 14 14 12 9 8 8 8 7 6 6 7 8 11 14 16 15 13 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 4 4 4 5 5 6 6 7 7 7 7 7 5 4 4 6 8 8 8 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 nan
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nan 7 7 8 8 8 8 9 9 8 7 6 7 8 8 7 5 3 3 6 12 18 25 29 29 25 20 15 11 8 5 3 2 2 3 4 5 6 6 6 6 5 5 7 11 14 21 31 40 44 41 32 17 4 -2 -2 2 3 2 1 0 0 3 6 5 1 -1 0 4 6 8 9 11 11 10 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 9 7 5 4 4 5 7 9 9 8 7 7 7 7 6 6 6 8 10 11 10 9 8 7 7 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 7 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 nan
nan 7 8 8 7 7 8 8 9 9 8 7 7 7 9 9 6 4 3 5 10 17 24 30 31 27 22 16 12 8 6 4 3 3 3 4 5 6 6 6 6 5 7 11 14 16 23 35 43 44 38 25 11 0 -3 -0 3 3 1 -1 -0 2 5 7 4 -0 -2 0 3 6 7 10 13 14 12 10 9 10 10 8 8 7 7 7 7 8 9 9 9 9 8 7 6 6 6 6 6 6 7 8 8 8 7 5 4 2 2 4 6 9 9 8 6 5 5 5 6 6 6 7 7 8 8 7 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 8 9 11 11 11 11 10 9 9 9 9 10 10 8 6 5 5 6 6 6 5 5 5 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 8 8 8 7 7 8 8 8 8 7 7 7 9 9 8 5 3 3 8 15 23 30 32 29 23 16 12 8 6 4 3 3 3 4 6 6 6 6 6 7 10 15 17 17 22 35 46 45 35 21 6 -3 -3 2 4 4 2 0 1 4 7 7 4 -0 -1 1 4 6 8 11 14 15 14 12 12 12 11 9 7 6 6 7 8 10 11 10 9 8 8 7 6 6 5 5 4 5 5 7 7 7 6 4 2 2 3 6 9 10 9 7 5 4 5 5 6 6 6 5 5 5 6 6 5 5 5 7 8 8 8 7 6 7 8 8 9 9 9 8 8 9 8 7 6 6 7 10 11 13 12 11 11 10 11 12 12 11 9 7 7 7 8 8 8 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 nan
nan 7 7 8 8 8 7 7 8 8 8 8 7 7 8 10 9 7 4 3 6 13 22 29 32 31 24 17 12 9 6 4 3 3 4 5 6 7 7 7 7 10 14 18 17 16 20 32 44 46 35 18 3 -4 -2 4 6 6 4 2 2 4 6 6 4 1 1 2 5 7 9 12 15 15 15 14 13 12 11 9 7 6 7 9 12 14 14 12 10 9 9 8 7 7 6 5 4 4 5 5 6 5 5 4 3 4 7 10 12 12 9 5 4 4 6 7 8 9 7 4 3 4 5 5 5 4 5 8 9 10 9 8 7 7 8 9 11 11 11 11 11 10 10 9 7 6 7 9 11 13 12 10 10 12 14 15 15 14 12 10 9 10 12 12 12 12 11 9 7 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 6 7 8 8 8 7 7 8 8 8 8 7 8 9 9 8 6 3 4 10 19 27 32 31 25 19 13 9 6 4 4 4 5 6 7 8 7 8 9 12 17 18 15 12 15 25 37 41 33 17 4 0 4 7 7 6 6 3 1 1 3 4 4 4 4 5 6 8 10 13 14 14 13 13 12 11 9 8 8 8 9 11 13 15 15 14 12 11 10 10 9 8 7 6 4 4 4 4 4 4 5 5 6 9 11 13 14 11 7 4 4 6 9 11 13 12 9 5 2 3 4 4 3 3 5 8 10 11 11 10 9 9 10 12 15 16 16 15 14 13 12 11 9 8 8 10 12 12 10 7 7 11 15 16 17 16 15 14 14 15 16 17 17 16 15 13 10 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
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nan 5 5 5 6 7 8 7 8 8 8 9 9 9 8 8 8 8 7 5 4 6 11 20 28 30 28 23 17 11 7 5 5 5 7 8 9 8 8 8 10 13 14 11 7 5 6 11 16 21 23 22 20 21 21 17 11 8 9 7 0 -3 -2 1 4 6 8 8 9 11 14 13 10 8 8 9 8 7 6 6 6 8 9 10 12 13 13 13 14 15 14 13 12 11 9 7 5 4 4 4 5 6 9 13 16 16 15 13 10 9 8 9 11 13 14 13 12 10 7 5 4 4 4 3 3 2 2 2 4 6 9 11 12 12 13 17 21 21 20 18 16 16 15 13 12 12 14 16 15 12 7 1 -1 3 8 12 15 16 16 17 19 21 22 22 22 21 19 17 15 13 12 10 10 10 10 11 11 10 10 9 8 8 7 7 7 6 6 6 6 6 nan
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CAPE
39 74 111 145 166 158 151 157 160 155 159 178 187 172 150 125 94 61 35 18 9 2 3 4 4 4 7 13 20 22 20 15 15 17 19 21 28 39 50 50 39 33 26 28 42 59 70 69 60 70 83 86 82 80 93 126 175 217 218 134 102 99 86 56 25 10 8 10 7 4 2 5 11 17 17 12 5 1 0 0 1 2 5 11 25 51 74 107 140 149 126 81 33 5 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 14 19
23 49 81 112 135 146 146 149 160 171 188 203 197 171 152 137 110 76 47 25 12 5 2 3 4 4 5 9 13 15 14 12 13 16 18 19 24 36 46 46 39 30 27 29 43 59 67 64 59 69 79 81 80 77 88 128 189 231 195 110 98 100 72 38 17 10 12 15 11 5 3 6 10 11 9 5 1 1 3 4 6 8 9 14 30 60 76 117 147 142 104 56 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 4 20 49 71
14 28 55 85 109 122 129 131 134 151 171 178 175 163 154 149 131 97 61 33 15 6 3 2 3 3 4 7 9 9 9 9 10 12 16 17 22 33 43 46 43 34 32 32 40 49 53 50 47 52 61 67 65 63 80 132 193 209 152 98 100 109 61 29 15 13 16 17 10 3 2 5 7 6 2 0 0 2 6 11 15 19 17 23 45 73 84 126 149 130 79 33 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 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 0 0 0 0 0 0 0 0 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 22 61 108
12 14 28 51 73 88 99 103 104 109 119 130 139 147 157 161 146 116 80 43 17 8 5 3 2 2 3 3 5 5 4 4 6 9 13 16 19 30 42 48 48 45 40 38 41 43 36 28 24 29 41 54 63 63 78 136 197 192 141 108 105 94 45 24 21 23 19 10 4 2 2 3 4 3 1 0 0 2 8 17 20 28 31 44 67 87 102 133 148 118 62 20 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 9 7 6 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 1 8 46 117
15 12 14 22 36 50 61 71 81 91 98 113 138 149 170 181 165 139 109 74 31 13 9 6 3 2 2 3 2 3 2 2 5 8 12 16 19 30 45 54 57 52 44 38 36 31 18 9 7 11 22 40 61 71 76 130 191 177 134 108 95 65 29 22 26 22 15 9 5 2 2 2 2 2 1 0 1 4 14 27 32 37 47 65 84 101 121 145 144 102 42 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 4 10 14 15 13 9 5 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 1 26 95
23 17 15 15 19 25 30 39 56 77 93 113 137 142 149 160 171 165 139 99 56 25 14 11 7 4 3 2 1 1 1 2 5 9 13 17 22 34 49 63 69 57 42 33 28 23 11 3 2 3 9 21 39 59 86 139 191 161 127 104 76 45 22 20 15 9 7 5 4 3 3 2 1 0 0 0 1 9 26 44 51 64 69 88 102 118 139 155 138 84 26 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 3 3 2 3 10 22 24 20 15 11 6 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 1 1 1 0 0 0 0 0 0 0 10 58
30 23 19 17 17 16 15 14 22 37 58 88 120 147 181 207 199 180 151 111 69 40 22 15 11 7 2 1 1 0 0 1 3 7 12 18 28 43 60 75 79 58 41 33 27 18 8 3 2 1 4 8 19 51 106 169 202 145 104 77 56 37 23 18 13 8 4 3 4 3 2 1 0 0 0 0 4 22 45 62 73 83 87 109 125 136 154 155 121 63 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 3 1 3 4 5 4 5 14 30 35 22 18 15 12 8 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 1 2 2 2 0 0 0 0 0 0 0 2 27
36 31 24 20 17 14 11 7 5 3 15 46 86 142 238 347 333 235 159 113 81 56 37 24 18 14 3 0 0 0 0 0 1 3 9 22 43 65 83 90 81 57 40 32 20 9 4 2 2 2 4 7 19 65 139 197 195 126 80 52 44 35 23 20 20 14 9 6 4 2 1 0 0 0 0 4 18 51 73 89 98 107 120 133 143 153 165 148 98 43 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 0 0 2 5 6 5 4 8 20 31 20 15 12 13 13 8 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 1 1 0 0 0 0 0 0 0 0 0 8
40 37 30 24 20 15 11 7 5 4 6 17 45 90 167 253 293 261 186 131 98 74 53 37 27 19 3 1 0 0 0 0 0 3 12 37 76 109 118 106 79 52 35 30 17 7 3 2 2 3 8 15 39 104 181 210 172 103 60 37 42 32 20 21 20 13 5 2 1 0 0 0 0 1 4 18 50 96 111 122 128 135 144 150 155 167 167 124 67 24 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 2 0 1 2 3 2 2 5 11 15 14 10 6 8 9 8 6 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 1
42 40 36 33 28 21 16 11 8 8 9 13 29 50 90 156 219 239 213 164 125 96 72 51 37 23 8 1 0 0 1 1 2 5 20 53 105 140 130 99 66 43 29 24 13 5 2 1 2 4 10 31 79 162 225 206 141 81 51 41 39 19 18 18 11 4 1 1 2 1 1 0 0 2 14 41 86 134 146 151 155 158 161 166 171 166 136 81 30 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 4 0 0 0 0 0 1 4 6 8 9 8 5 6 5 7 8 6 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 2 7 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
48 43 40 37 34 29 23 17 11 7 7 12 25 46 74 121 170 201 203 181 146 115 90 66 46 28 14 5 1 0 2 3 2 4 15 42 79 105 90 69 52 37 29 23 12 4 1 1 3 6 17 53 124 212 251 182 109 67 48 39 29 20 20 13 5 1 1 4 6 5 2 0 0 3 20 58 107 146 159 175 184 175 169 176 171 138 89 43 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 2 3 4 7 9 9 7 7 4 7 9 8 5 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 1 4 12 15 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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70 62 52 46 42 39 35 30 23 15 10 9 10 15 37 78 122 156 188 190 171 154 147 129 77 41 22 10 3 1 4 5 4 1 1 4 12 25 39 48 47 44 38 23 10 3 3 6 7 12 37 113 203 241 199 114 60 49 35 24 17 14 10 2 0 0 3 7 7 4 1 0 0 0 13 73 125 152 165 177 185 196 182 143 103 65 34 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 5 9 9 8 7 5 2 3 4 5 5 4 3 2 1 2 2 2 2 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 1 3 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 83 69 57 50 44 38 34 28 20 14 13 12 10 14 42 92 139 189 211 198 185 180 158 104 48 27 14 9 6 7 8 6 2 0 2 9 22 38 51 58 56 38 16 6 2 6 9 10 15 44 137 225 235 171 94 52 38 26 12 14 11 5 1 0 0 2 3 4 2 1 0 0 2 13 66 98 126 139 143 149 157 144 106 68 36 15 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 1 2 6 8 7 5 4 2 1 1 1 1 2 1 2 2 1 1 2 4 4 3 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
102 101 92 76 61 50 42 36 31 26 20 17 15 10 6 14 54 123 205 271 267 246 231 192 121 56 36 23 20 14 15 14 8 2 0 2 7 23 46 67 74 63 34 9 3 4 9 11 12 25 71 173 253 226 141 69 33 18 9 4 17 11 6 4 3 2 3 5 5 5 3 1 0 1 8 31 48 67 77 78 81 83 72 45 20 8 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 1 1 1 2 4 6 4 2 1 1 0 0 0 0 0 0 1 2 2 2 2 3 4 3 3 5 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
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