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 9 9 8 8 9 9 8 8 9 10 10 10 9 8 8 7 6 5 6 6 5 6 8 9 8 7 8 8 8 9 10 9 8 8 9 10 11 10 10 12 10 7 7 9 12 12 11 10 9 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 8 8 6 7 9 10 10 9 8 9 10 10 10 11 10 10 9 9 9 8 7 7 7 8 8 9 9 8 8 7 7 8 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 8 9 10 9 9 8 9 10 9 8 9 11 10 9 7 7 9 9 9 11 13 15 14 11 10 8 8 7 6 7 7 8 10 14 nan
nan 9 9 8 8 9 9 8 7 9 10 11 11 11 10 10 9 8 7 6 6 5 7 9 9 8 8 8 8 8 8 9 9 8 9 10 9 8 9 10 12 10 9 8 9 11 12 11 10 9 9 9 9 9 10 9 8 8 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 8 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 9 11 10 10 9 9 9 8 9 8 8 8 8 8 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 10 10 11 10 9 9 10 9 8 8 8 8 9 10 10 8 8 10 11 10 8 7 8 8 10 10 11 11 10 8 8 8 10 10 9 8 8 9 10 11 nan
nan 10 10 9 8 8 8 8 6 7 9 11 12 12 12 11 9 10 9 7 6 5 6 8 8 9 9 9 8 8 8 8 9 10 10 9 7 6 7 9 11 11 10 8 9 10 11 11 10 10 10 9 9 9 10 10 8 8 7 8 9 8 8 9 9 10 10 10 10 9 7 6 6 6 8 10 10 9 8 8 8 7 8 9 9 9 8 7 7 8 9 10 10 10 9 8 8 8 10 9 9 9 9 8 8 9 9 8 8 9 10 11 10 9 9 10 10 9 9 9 9 9 10 10 11 12 11 10 9 7 10 12 11 9 9 9 9 9 10 10 8 7 9 10 10 9 9 9 9 10 11 11 10 8 7 7 7 8 10 10 10 10 9 10 10 nan
nan 10 11 10 10 9 8 6 5 6 9 10 10 12 12 12 11 10 10 8 6 5 5 6 8 8 9 9 8 8 8 8 9 11 11 9 7 7 7 8 11 12 11 9 8 10 10 11 11 10 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 10 10 11 11 9 8 6 5 5 8 10 9 9 8 8 8 8 8 8 9 9 9 8 7 8 9 9 9 10 10 9 8 8 9 10 10 10 9 9 9 9 10 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 10 10 11 12 11 9 8 7 11 13 11 9 9 9 9 9 9 11 10 7 9 10 9 10 10 10 10 11 10 10 10 9 8 8 8 8 8 9 9 10 9 9 9 nan
nan 11 11 12 10 10 8 6 5 6 8 9 9 10 10 11 12 12 11 9 7 5 4 5 6 7 8 9 9 8 8 8 9 11 10 9 7 7 7 7 8 10 11 10 9 10 11 11 11 10 9 9 9 10 10 10 9 8 8 7 8 9 9 9 9 10 10 10 11 10 8 7 6 6 7 9 9 8 8 8 8 8 8 8 8 8 9 9 8 9 8 8 9 9 9 9 8 8 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 9 10 11 11 9 9 9 9 8 6 8 9 8 9 10 9 10 10 9 9 9 9 10 10 10 11 10 10 10 9 10 9 9 10 10 10 9 8 9 9 9 8 nan
nan 11 12 11 10 9 7 6 6 6 8 8 9 9 8 9 11 12 13 10 8 6 5 5 5 5 7 9 9 8 8 7 8 10 10 9 7 7 8 8 8 8 9 11 11 11 11 12 11 10 10 9 9 9 10 10 9 8 8 7 7 9 10 9 9 10 10 10 10 10 9 9 8 7 7 8 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 10 9 10 9 9 9 9 10 9 9 9 10 10 10 10 10 9 7 6 6 9 9 8 9 11 10 9 9 9 10 9 9 9 10 10 10 10 10 10 9 10 11 10 10 10 10 9 9 9 9 9 9 nan
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nan 13 12 11 10 8 8 8 7 7 7 6 6 7 9 11 12 11 9 8 8 8 7 7 9 11 12 12 12 13 13 13 13 12 11 11 11 9 7 6 6 7 8 9 9 9 9 9 8 7 6 7 9 12 13 14 12 10 9 9 13 20 19 14 12 11 11 10 9 9 7 3 1 4 6 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 7 5 7 10 12 12 13 13 11 8 7 7 7 8 8 8 8 9 10 10 9 7 8 9 8 6 6 7 9 10 10 9 7 8 8 8 8 8 8 10 11 10 11 10 10 11 12 13 14 11 9 8 9 10 10 10 10 10 10 9 9 10 10 9 9 nan
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nan 8 9 11 12 11 11 12 12 11 11 12 14 14 13 12 12 11 10 10 9 9 10 9 8 8 8 7 8 8 8 9 9 9 9 10 10 9 9 8 8 9 10 9 8 9 10 11 11 12 11 10 10 10 9 8 8 8 9 14 20 20 17 14 10 9 9 8 7 5 2 -1 0 3 6 7 8 9 10 10 10 9 9 9 9 11 10 9 9 9 8 8 8 8 8 9 9 10 10 10 9 12 18 22 22 19 16 14 12 11 10 10 8 7 7 7 7 8 9 9 9 8 9 11 13 13 13 16 19 19 19 20 20 21 21 21 18 16 15 14 13 10 8 7 7 7 7 3 1 3 6 8 8 9 9 9 9 11 11 10 9 8 9 8 8 nan
nan 6 8 11 12 11 11 12 12 12 13 14 15 14 13 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 8 8 10 12 10 9 10 11 10 9 9 8 8 9 9 10 12 14 13 12 10 10 10 9 9 9 10 14 20 22 19 14 10 9 8 8 6 5 2 -1 -1 3 7 8 8 9 9 10 10 10 9 9 10 11 11 11 11 10 9 9 9 8 8 9 10 10 10 10 10 14 22 28 28 22 15 10 7 7 8 8 7 6 7 7 7 8 8 8 8 8 9 11 14 19 23 25 25 22 18 16 15 14 13 11 7 6 6 6 5 4 4 5 6 7 7 5 2 1 2 4 6 9 9 9 9 9 10 10 8 8 8 8 8 nan
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nan 15 12 12 11 10 10 11 9 8 8 9 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 11 11 11 12 12 13 14 14 14 13 12 12 11 10 11 12 12 12 12 12 11 10 10 11 12 12 11 10 10 11 12 12 13 14 14 14 14 12 12 12 12 12 13 13 13 13 13 13 13 14 14 13 14 15 16 17 14 10 8 9 11 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 11 10 10 10 10 9 10 13 16 17 18 18 15 13 10 9 9 10 11 11 11 11 11 12 12 12 11 11 11 11 10 8 9 11 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 nan
nan 12 12 11 11 10 10 10 9 8 8 8 9 8 8 10 10 10 10 10 10 9 9 10 10 10 9 9 9 10 11 12 12 11 10 10 10 10 11 11 11 10 11 13 14 14 13 13 12 12 11 11 11 12 12 11 11 11 11 10 10 11 12 12 12 12 13 14 15 17 17 16 16 14 12 11 11 12 12 12 12 12 12 13 12 13 13 13 14 15 16 17 15 13 11 9 9 10 10 10 9 9 9 10 9 9 9 10 10 9 10 10 11 10 11 11 11 11 10 11 14 17 17 17 15 13 12 10 9 9 9 11 12 13 12 12 13 13 12 11 11 11 11 9 10 13 14 13 12 12 11 10 11 12 12 12 12 11 9 9 10 11 11 11 11 nan
nan 12 12 12 11 11 10 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 9 10 10 9 9 9 9 10 11 10 10 10 9 8 8 9 9 10 10 10 10 10 12 13 14 13 12 12 11 10 11 12 12 12 12 11 11 11 11 12 12 12 12 13 14 15 16 16 15 15 14 13 12 11 11 12 11 11 11 11 12 11 11 12 12 13 14 14 15 15 13 12 10 9 9 8 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 13 12 12 13 14 15 15 13 11 10 11 10 10 10 11 13 13 14 12 13 13 12 12 12 11 11 12 13 14 14 13 11 11 10 10 11 12 12 12 12 11 10 9 10 11 11 12 11 nan
nan 14 13 13 13 12 11 11 10 11 11 11 11 10 10 9 9 8 8 9 9 10 10 9 9 10 9 9 10 10 10 10 9 8 9 8 8 7 8 9 9 11 11 10 11 12 13 13 13 11 9 9 9 10 10 11 11 11 11 12 13 13 12 12 12 12 13 13 14 13 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 11 10 9 8 8 8 9 10 10 11 10 10 9 9 9 10 10 11 11 11 12 12 13 14 14 12 11 12 14 15 14 12 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 10 10 10 11 12 11 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 11 nan
nan 13 12 11 12 13 13 13 13 13 13 12 12 11 10 9 9 9 9 10 10 11 10 9 9 10 11 11 11 10 9 10 10 10 10 9 9 8 9 9 10 12 12 11 11 11 12 12 12 11 9 8 8 8 8 9 10 10 10 11 12 12 12 12 11 12 12 11 11 10 10 9 9 8 9 9 10 11 11 11 11 11 12 12 12 11 11 11 12 13 14 14 13 12 10 9 9 9 9 9 10 10 10 11 11 10 10 9 10 10 11 11 11 12 13 14 15 15 15 17 17 16 16 15 12 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 11 10 10 9 8 9 9 10 10 9 10 11 11 11 12 11 12 12 11 11 12 11 11 11 11 nan
nan 12 12 11 11 11 13 13 13 13 13 12 11 10 9 8 10 12 12 11 11 10 10 11 11 11 10 11 12 10 9 9 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 12 12 11 10 10 10 9 9 8 9 9 9 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 10 10 11 11 11 12 11 12 12 12 11 10 11 12 12 13 14 13 13 10 9 10 10 10 10 10 10 10 12 12 12 11 10 10 10 10 11 11 11 12 13 14 16 20 21 19 15 13 13 13 12 11 10 11 11 11 11 10 9 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 9 9 10 11 10 9 8 7 10 11 13 13 12 12 12 12 12 11 10 11 11 11 10 10 10 9 10 11 11 11 12 12 11 11 12 11 11 12 12 12 12 12 13 13 13 13 11 11 11 10 10 11 11 11 10 11 11 12 12 13 12 10 10 9 9 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 14 13 11 10 10 11 11 10 10 10 11 13 13 13 12 11 10 10 11 10 11 12 12 13 14 16 16 15 12 10 10 12 13 13 12 11 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 12 12 14 16 16 14 12 11 11 11 11 10 10 11 10 9 11 12 12 12 11 12 11 10 11 12 12 12 11 12 13 14 15 15 15 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 10 9 10 10 11 11 12 13 13 13 12 12 11 11 12 13 13 13 13 12 11 11 12 13 13 12 11 11 11 11 11 10 11 12 13 13 14 13 12 11 10 11 11 12 12 13 14 15 15 13 10 8 7 9 10 10 11 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 12 12 11 12 11 11 10 9 10 11 11 11 12 11 11 11 11 11 11 10 10 nan
nan 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 14 16 16 13 11 11 11 11 11 11 11 11 10 11 12 12 12 11 12 12 11 10 11 11 11 11 11 12 13 15 15 15 15 14 14 14 14 14 13 12 11 11 12 12 12 12 10 9 9 10 11 11 11 12 13 13 12 12 12 11 11 12 13 13 14 13 13 11 10 11 11 13 13 13 12 11 10 11 11 11 12 12 12 13 13 12 12 12 12 13 14 13 15 17 17 15 12 9 8 8 7 7 7 8 9 9 9 9 9 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 11 10 10 9 10 11 11 11 11 11 11 11 11 10 10 11 nan
nan 8 9 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 14 14 14 13 12 12 11 11 11 12 12 11 12 12 12 12 12 11 11 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 11 11 10 10 10 10 11 12 12 12 12 12 12 12 11 12 12 13 13 13 13 12 12 11 10 10 11 11 11 12 12 11 11 10 10 10 11 11 11 12 13 13 13 14 15 16 17 18 19 18 15 12 9 10 10 9 7 5 2 1 3 7 8 9 9 10 11 11 11 11 11 11 11 11 10 11 10 10 10 11 12 13 14 13 11 9 9 10 10 10 10 10 10 10 10 11 11 11 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
CAPE
4 5 4 3 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 2 5 10 15 20 22 21 22 24 26 26 21 12 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 1 2 2 1 1 0 0 0 0 0 0 2 8 18 32 49 63 70 72 72 72 72 74 80 84 83 77 68 58 46 43 44 49 57 63 64 59 54 49 44 38 35 37 39 41 41 39 44 46 46 47 49 52 56 60 66 73 79 81 80 76 71 68 67 66 66 67 71 76 78
4 4 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 5 11 16 16 14 17 23 28 29 22 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 0 0 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 3 2 1 1 0 1 2 2 1 1 0 0 0 0 0 0 0 0 1 4 9 16 27 45 63 76 82 85 86 86 86 86 85 80 74 70 69 61 57 56 57 59 62 65 65 62 54 46 38 36 37 39 41 39 33 35 39 41 42 43 46 50 53 55 59 66 73 74 72 67 63 60 59 59 61 66 74 80
3 3 3 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 9 11 17 25 30 28 18 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 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 8 8 6 4 3 3 3 4 4 2 1 0 0 0 0 0 0 0 1 2 4 5 8 16 33 55 72 84 91 95 94 92 87 81 74 70 68 72 71 68 64 61 58 55 60 64 62 55 45 39 36 35 35 35 32 27 27 30 33 34 34 35 39 42 45 48 53 59 63 64 62 57 55 54 54 56 63 72 79
2 2 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 8 14 20 27 29 23 14 6 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 1 4 9 12 12 10 8 6 5 5 4 3 2 1 0 0 0 0 0 0 0 1 2 2 1 2 8 28 53 72 84 91 94 92 87 80 72 64 61 62 67 73 73 68 61 56 46 45 47 48 46 43 40 37 33 30 27 24 21 22 26 28 28 27 28 28 31 35 38 42 46 50 53 53 53 53 53 55 59 66 75 80
1 2 3 4 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 18 22 25 23 17 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 2 7 13 16 16 14 12 10 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 31 59 80 93 97 94 87 80 72 63 57 56 62 68 74 74 67 60 51 38 30 33 40 46 48 47 43 38 29 22 16 14 15 18 20 21 22 23 24 26 31 34 37 39 41 42 42 40 43 50 57 66 74 80 82
1 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 15 16 17 17 12 6 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 3 8 16 19 19 17 15 13 10 7 4 1 0 0 0 0 0 0 0 0 1 0 0 1 2 6 19 42 68 91 104 104 97 87 77 68 60 57 62 69 74 77 77 69 61 54 44 34 31 38 48 51 50 48 46 38 32 25 19 15 13 13 15 19 22 26 30 33 35 37 38 38 39 40 42 48 55 63 71 77 80 80
1 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 11 10 9 10 7 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 2 7 14 18 18 16 14 12 10 8 5 2 0 0 0 0 0 0 0 2 3 3 4 6 12 21 34 53 77 99 112 108 99 90 81 73 67 67 75 80 82 82 81 74 66 60 54 44 30 32 39 41 40 41 47 50 49 45 37 27 20 18 20 24 29 34 36 37 37 38 39 40 42 46 52 58 63 65 66 67 67 68
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4 6 9 12 13 14 14 13 12 11 11 10 8 6 4 1 0 0 1 3 5 6 6 6 4 3 1 0 0 0 0 1 6 21 42 62 78 90 99 101 95 85 72 58 46 38 31 23 14 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 1 2 4 7 10 12 13 13 12 12 11 10 8 7 6 6 6 7 8 9 10 11 11 10 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 0 0 0 0 0 0 0 0 0 0 0
5 8 10 12 13 14 14 13 13 12 12 10 8 6 4 2 2 2 3 5 7 8 8 7 5 4 2 2 2 2 2 5 12 24 38 50 61 74 86 98 104 107 105 97 85 72 60 46 30 17 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 2 6 11 15 19 21 20 19 18 16 14 12 10 8 7 6 6 7 8 9 9 10 10 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 0 0 0 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 9 11 12 12 12 12 12 12 12 11 10 9 8 6 5 4 4 6 9 11 12 11 10 9 8 8 8 7 7 9 14 23 32 40 46 53 61 72 85 98 109 117 116 108 96 81 63 45 28 14 4 1 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 3 2 1 2 3 6 10 16 22 28 33 34 32 29 26 22 18 14 10 8 6 6 5 6 7 8 8 8 8 8 7 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
8 9 10 10 11 10 10 11 10 10 10 10 11 11 10 8 8 9 11 14 16 17 16 15 16 17 18 17 16 16 19 25 32 38 42 46 51 57 65 75 86 96 106 110 108 101 88 70 54 38 23 11 5 1 0 0 0 0 0 0 0 1 4 8 13 17 19 20 18 16 13 14 17 22 28 34 39 44 45 42 37 32 27 21 16 11 7 4 3 2 2 4 6 7 7 7 7 7 6 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
5 6 6 7 8 8 9 10 10 11 12 13 14 15 14 12 13 14 16 17 19 19 19 19 20 22 24 22 23 24 28 32 35 37 40 43 47 52 60 69 77 84 91 98 101 98 88 71 56 42 29 17 8 2 0 0 0 0 0 0 1 4 9 17 25 31 36 38 36 34 34 36 40 44 48 49 49 48 45 40 34 29 23 17 11 7 4 2 1 0 1 2 5 7 7 7 7 7 6 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
4 4 4 5 6 7 9 12 14 16 16 16 16 15 15 15 16 16 17 17 17 16 15 16 18 20 22 22 24 29 36 42 45 44 40 40 40 42 46 52 59 68 78 89 95 94 84 70 57 43 30 18 8 2 0 0 0 0 0 0 1 5 12 21 29 35 40 42 42 42 44 48 53 56 58 56 52 46 40 35 30 25 19 13 8 4 2 1 0 0 0 2 5 7 7 6 6 5 4 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
6 5 5 5 7 10 14 18 19 19 16 14 13 13 15 16 17 17 16 14 12 11 11 14 15 16 16 18 22 28 36 42 45 44 42 39 35 33 32 35 40 49 63 76 84 86 79 68 55 42 29 17 7 1 0 0 0 0 0 0 2 5 12 19 26 32 36 39 41 42 44 48 51 54 55 52 47 41 36 32 28 23 17 11 7 5 3 1 0 0 0 2 5 8 7 6 5 4 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
8 7 8 10 12 15 18 18 17 14 11 10 11 13 15 17 17 15 12 10 10 10 13 15 16 15 15 16 20 24 30 34 37 39 40 38 35 30 25 23 25 33 51 66 75 78 73 62 51 40 28 18 10 4 2 1 0 0 0 0 2 5 9 15 22 29 35 39 41 40 40 42 45 48 48 46 42 37 33 30 26 21 14 10 7 5 3 2 0 0 0 2 5 8 8 6 4 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
10 10 12 15 17 18 18 15 13 11 10 10 11 13 16 17 16 14 12 12 13 14 16 16 15 14 13 14 16 19 22 25 28 32 34 33 30 25 19 15 15 22 41 60 74 78 70 58 47 36 26 19 14 10 8 6 4 3 2 2 2 4 6 12 19 27 33 37 38 37 36 38 41 43 43 40 37 34 32 28 23 16 10 6 4 3 2 1 0 0 0 2 5 8 7 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
8 10 12 15 16 16 16 14 12 11 10 10 12 15 18 20 19 18 17 16 16 16 15 14 13 12 12 12 13 15 17 19 21 22 21 20 18 16 13 11 10 13 26 46 65 80 74 60 46 33 23 18 15 14 14 12 10 7 5 4 3 4 6 11 18 25 32 35 37 36 37 38 41 42 39 36 33 31 29 25 19 13 7 3 1 1 0 0 0 0 0 1 4 7 7 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 6 8 10 11 12 13 12 12 12 13 15 18 22 24 26 25 24 22 18 15 12 10 9 8 9 9 10 12 14 16 17 17 15 12 10 10 12 12 11 10 10 15 28 46 68 73 64 49 34 24 19 16 16 15 14 12 9 7 6 6 7 9 14 21 26 32 36 38 39 41 44 44 42 38 34 31 29 26 22 17 11 6 3 0 0 0 0 0 0 0 1 3 6 6 6 5 4 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 2 3 5 7 8 9 11 14 16 18 21 24 28 30 29 27 24 19 15 11 7 5 4 4 6 8 11 14 16 19 20 19 17 13 11 9 8 6 5 4 6 9 16 29 50 65 67 60 46 35 29 26 24 21 18 15 13 13 14 14 16 19 24 29 34 37 39 41 43 46 48 49 43 37 33 30 27 24 21 17 12 8 5 1 0 0 0 0 0 0 1 3 4 5 5 4 3 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 2 2 3 4 6 12 17 21 23 24 25 25 25 23 19 15 10 9 8 7 5 5 6 8 11 15 19 23 27 28 27 24 20 16 12 8 4 2 0 0 4 10 21 39 59 71 75 67 59 52 48 43 39 34 31 29 29 30 33 35 38 40 43 45 45 43 42 46 48 48 46 40 35 31 28 25 23 21 18 15 12 8 4 1 0 0 0 0 0 0 2 3 3 2 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
3 4 5 5 7 11 18 26 29 29 28 26 23 19 14 10 7 6 6 9 11 13 14 15 18 20 23 25 28 32 36 35 32 27 22 18 14 12 8 4 2 1 3 8 17 32 52 70 84 87 83 78 73 67 62 58 54 52 54 58 62 62 60 58 57 55 51 46 43 46 46 44 40 35 31 28 26 24 21 19 18 16 14 11 7 3 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 20 30 39 40 38 36 35 34 30 25 18 11 7 6 9 15 21 25 28 32 35 38 38 37 36 36 38 35 30 23 17 14 14 15 13 10 6 4 4 7 13 24 40 59 78 90 93 92 89 83 78 74 71 69 72 77 81 79 75 70 65 59 52 45 44 43 42 39 35 32 29 26 25 24 21 19 17 16 15 14 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 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 14 26 35 36 31 28 28 34 39 41 40 37 32 29 28 28 31 34 39 43 47 50 51 46 41 36 34 33 31 26 18 12 9 10 14 15 14 11 8 6 7 9 16 27 40 55 70 81 88 92 90 86 82 79 80 82 85 85 82 77 70 63 56 49 42 38 35 32 30 29 27 26 24 24 23 21 19 18 17 17 17 14 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 2 11 19 24 25 24 25 27 32 38 44 49 53 53 52 50 47 46 47 50 57 59 59 57 48 40 32 28 27 26 23 17 11 8 8 11 12 12 11 9 9 10 11 15 20 26 32 42 52 63 74 81 84 84 82 81 80 79 75 69 62 56 50 44 39 33 28 23 20 18 18 18 19 19 20 20 20 20 20 20 19 19 17 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0
3 1 1 5 10 15 19 24 28 33 39 44 49 54 61 65 67 65 60 56 55 59 69 70 67 61 50 39 30 24 23 23 23 19 15 11 9 9 8 8 8 9 11 13 14 16 17 19 21 26 31 38 45 50 54 57 60 60 59 59 57 52 45 39 35 31 28 24 19 15 12 10 10 11 12 13 15 16 18 21 22 22 22 21 19 16 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 10 9 10 14 19 24 30 35 40 44 47 52 58 67 74 77 76 71 68 68 70 76 76 71 63 52 41 32 26 24 23 23 22 19 17 14 12 9 8 8 10 12 14 15 16 16 17 18 21 25 28 29 30 29 29 29 30 31 35 36 35 32 28 25 22 20 19 16 12 10 9 8 8 9 10 12 14 17 20 22 24 24 23 20 17 12 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
32 30 28 28 29 31 34 37 41 44 47 52 57 64 72 78 80 81 78 76 75 75 75 72 67 60 51 44 38 32 29 27 25 24 23 22 20 19 16 14 14 15 16 16 16 15 15 16 18 21 23 25 24 21 18 16 14 14 15 17 20 21 22 21 20 19 19 18 16 14 12 10 9 9 9 10 11 13 16 19 22 24 25 24 22 18 13 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