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 8 8 8 8 9 8 7 7 8 9 9 9 9 8 8 8 8 8 7 8 8 7 7 8 8 7 6 6 7 8 9 8 8 9 9 9 8 9 10 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 10 9 9 9 9 9 8 8 9 9 9 8 9 9 7 7 8 9 10 9 8 8 8 7 6 5 6 7 7 6 5 6 7 8 9 9 9 8 8 7 7 7 7 6 4 4 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 7 9 10 9 9 9 9 10 10 8 8 9 10 9 9 8 8 9 9 9 10 11 10 9 8 9 10 9 10 11 11 11 10 10 12 nan
nan 9 9 8 8 8 9 9 8 7 8 9 10 10 10 9 8 8 8 7 7 7 8 7 7 9 10 8 7 6 7 7 8 8 8 8 8 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 8 8 8 9 9 9 9 9 8 7 7 8 10 10 9 8 8 8 6 6 6 7 8 7 6 5 5 7 8 9 9 9 8 7 7 8 8 8 6 5 5 5 5 6 7 8 7 7 7 7 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 5 7 8 9 9 8 8 9 10 9 8 7 7 9 9 9 8 7 8 8 8 8 9 9 8 8 8 9 9 10 11 11 11 10 10 10 nan
nan 9 9 8 8 8 9 10 8 7 8 9 11 11 10 10 9 8 9 7 6 6 8 8 8 9 10 8 7 7 7 7 8 8 8 8 7 8 8 10 10 9 9 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 7 6 7 9 10 10 8 8 8 7 6 6 7 8 8 7 5 5 6 7 8 9 9 8 7 7 8 9 9 9 7 6 6 5 6 7 7 7 7 6 7 8 7 6 7 8 8 7 8 8 8 7 6 6 7 7 7 5 4 6 7 8 8 8 9 9 9 9 9 8 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 10 11 10 10 9 9 9 nan
nan 9 9 9 8 8 9 9 8 7 8 8 10 11 10 11 11 10 9 8 7 7 7 8 9 9 9 8 7 7 7 8 8 9 9 7 7 8 8 8 10 11 10 9 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 7 6 5 8 9 9 9 8 8 8 7 6 6 7 7 7 6 5 5 6 7 8 8 8 7 7 7 8 9 10 9 8 7 8 8 7 7 8 8 7 8 8 7 6 6 7 8 7 7 7 7 8 7 5 5 6 7 7 6 6 7 7 8 8 9 9 10 10 11 9 7 8 9 9 9 9 9 8 8 8 10 10 10 9 9 9 10 10 10 10 10 10 8 7 nan
nan 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 11 11 10 8 7 7 7 8 9 9 9 8 8 8 9 7 8 11 10 8 7 7 8 7 8 9 10 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 9 8 8 8 9 9 9 9 8 9 9 9 9 9 8 6 7 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 5 6 8 9 8 7 7 8 8 8 9 8 8 8 8 9 9 6 5 7 8 8 7 7 7 8 8 7 5 5 6 8 9 8 7 8 8 8 9 9 9 9 10 10 8 7 8 9 9 9 10 9 9 9 10 11 12 11 10 9 9 10 10 10 10 10 9 8 nan
nan 10 10 10 10 9 9 8 9 9 8 8 9 9 9 9 10 11 11 9 7 7 7 7 8 9 8 9 8 8 9 8 8 10 10 9 7 7 8 7 7 8 9 11 10 9 9 9 9 9 9 9 9 8 9 9 8 8 9 8 8 8 9 9 9 10 9 9 9 9 9 9 9 8 7 8 9 9 8 8 8 9 9 9 8 7 7 8 7 8 7 7 7 8 8 8 7 6 5 7 8 8 7 6 7 8 8 8 7 7 7 8 9 9 8 7 7 9 9 8 8 7 8 9 8 7 5 5 7 9 9 7 8 9 8 8 8 8 9 9 10 9 9 8 9 10 10 11 11 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 nan
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nan 11 10 10 9 8 8 8 7 7 7 8 9 10 8 8 9 9 9 8 8 8 8 9 9 8 9 8 8 9 9 8 9 10 11 10 9 8 8 8 8 8 8 8 8 9 10 11 11 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 8 8 9 10 9 9 10 10 9 9 9 10 9 9 8 8 9 9 8 7 7 7 9 9 8 6 7 7 8 7 7 7 6 6 7 7 7 7 7 8 8 7 7 7 8 7 7 7 8 9 9 10 10 9 9 8 9 10 8 7 6 6 6 6 6 7 8 9 9 8 8 8 9 9 11 11 11 10 10 9 9 11 12 12 12 11 11 10 10 10 10 11 11 11 10 10 9 nan
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nan 13 13 12 12 12 12 12 12 11 10 10 11 11 11 12 13 16 16 14 12 11 12 11 11 11 11 11 11 11 12 12 12 13 11 9 11 15 16 14 12 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 11 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 12 12 10 9 11 13 13 13 12 10 10 11 10 10 10 10 9 9 8 8 9 10 12 13 12 12 12 13 13 12 11 12 13 13 13 11 10 9 9 10 10 10 10 11 13 14 13 12 13 13 12 12 12 13 14 14 13 12 11 11 12 13 13 12 12 nan
nan 13 13 12 12 12 12 12 12 11 11 11 10 10 11 11 12 11 11 12 11 12 11 11 11 11 12 12 11 11 12 11 11 11 9 7 6 4 3 4 7 11 12 12 11 11 12 12 12 11 11 11 11 11 11 12 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 10 10 10 11 11 10 10 10 10 10 9 8 8 9 10 10 10 10 11 12 12 12 11 10 10 11 12 12 12 11 11 11 11 11 11 10 9 9 8 7 4 3 8 14 15 14 13 13 13 12 12 12 13 13 12 12 11 10 10 11 12 12 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 13 14 13 14 14 14 nan
nan 13 13 13 12 12 12 12 11 11 11 11 11 10 11 10 9 7 6 9 11 12 12 11 11 12 12 11 11 11 10 10 11 10 11 10 9 6 6 8 10 12 11 12 12 11 11 12 12 12 12 12 11 11 11 12 11 11 12 12 11 11 11 11 10 10 11 11 11 10 10 11 12 11 11 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 11 11 10 11 12 12 11 10 8 7 6 4 2 -0 7 17 18 15 12 11 12 12 13 13 13 13 13 12 12 10 11 11 11 12 12 12 11 12 12 11 12 11 12 12 13 13 13 12 12 13 13 13 13 14 14 14 13 nan
nan 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 10 11 11 12 11 11 11 10 10 11 10 10 10 11 11 11 11 11 12 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 12 12 12 12 12 11 11 11 10 9 9 9 9 10 10 10 11 10 11 10 11 11 11 11 10 11 11 11 10 7 5 3 3 4 6 12 16 17 13 10 9 9 11 14 15 15 14 13 12 12 12 12 12 11 12 12 12 13 13 13 12 12 12 13 13 13 13 13 12 12 11 12 12 13 13 13 13 13 nan
nan 13 13 12 12 13 13 13 13 13 12 11 11 11 10 10 10 10 11 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 12 11 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 11 10 11 11 11 11 10 10 10 11 10 11 11 11 11 11 11 11 10 8 8 8 9 8 9 9 9 10 11 11 10 10 10 9 9 10 9 8 7 4 2 4 8 12 14 14 15 14 10 7 7 12 17 20 19 15 14 13 13 13 13 13 13 12 13 14 15 14 14 13 12 12 14 14 13 13 12 11 12 12 12 13 13 13 13 13 13 nan
nan 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 12 11 11 12 12 11 12 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 11 11 11 11 11 12 12 11 10 9 9 10 9 8 8 9 9 9 9 9 9 9 9 8 8 7 5 5 5 5 8 11 11 11 14 22 23 14 8 8 14 18 20 18 14 13 14 14 14 13 12 13 13 13 14 15 14 13 12 12 12 13 14 14 14 13 12 13 13 14 14 14 13 12 12 12 nan
nan 13 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 11 11 11 12 12 11 11 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 11 10 11 11 11 11 12 11 11 11 11 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 9 9 8 8 9 9 8 7 7 7 6 5 4 6 9 11 12 11 8 7 15 26 27 21 15 12 12 12 14 15 14 13 13 13 13 11 12 13 14 14 15 14 13 12 12 12 12 13 13 14 15 14 12 12 14 14 14 13 12 12 12 12 nan
nan 13 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 11 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 12 11 11 12 12 12 12 12 11 11 11 11 10 11 11 10 11 11 11 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 9 10 11 11 12 12 11 11 10 10 10 9 8 7 7 7 7 6 5 4 3 5 9 14 16 15 11 7 7 13 22 24 24 19 15 13 12 12 14 15 14 13 12 11 11 12 14 15 14 13 13 12 11 12 12 12 13 12 13 13 12 11 11 13 14 14 12 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 2 3 2 2 3 5 6 6 7 8 7 5 5 7 10 12 14 16 19 22 27 33 38 40 38 36 33 32 33 33 31 28 25 22 20 20 20 17 11 10 10 14 18 17 15 15 17 19 21 22 23 24 26 31 38 49 56 53 50 47 45 45 48 51 58 69 77 82 93 101 100 98 95 92 90 89 93 95 94 91 89 90 93 94 94 95 96 97 102 102 99 97 95 90 90 84 69 56 50 47 38 30 28 28 27 24 18 15 14 16 19 19 21 23 23 23 21 16 12 10 12 14 16 17 11 9 8 14 22 26 28 26 24 20 15 10 5 2 2 2 2 1 2 1 0 0 0 0 3 8 15 14 10 11 13 10 12 14 16 18 20 24 28 28 23
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7 6 5 4 2 0 1 4 12 19 23 21 24 31 39 43 40 32 22 14 14 15 19 26 28 21 11 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 6 8 9 8 6 5 4 3 3 3 4 4 5 5 5 5 6 6 5 5 5 4 4 3 2 2 1 2 2 4 5 5 5 5 5 6 7 8 9 9 9 9 8 7 7 6 7 8 9 9 8 8 7 7 6 6 7 7 7 7 8 9 10 9 9 7 6 6 7 8 10 11 13 14 14 14 14 10 8 6 5 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 8 9 8 9 9 10 11 12 14 14 15 14 14 15
6 7 7 6 3 0 0 1 7 15 24 30 41 56 71 70 66 55 40 27 20 19 23 28 27 19 10 3 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 2 7 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 8 7 7 6 6 7 8 9 10 11 12 12 12 11 11 11 11 12 13 13 13 13 12 12 11 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 9 10 11 12 12 14 15 15 16 16 17 17 18 19 20 20
5 7 6 6 4 2 1 1 9 26 47 62 68 72 77 81 84 76 60 41 31 27 26 26 22 17 11 6 4 4 5 6 5 4 3 3 2 2 1 0 0 0 0 2 5 9 10 11 11 10 11 12 12 12 10 10 10 10 9 9 8 8 8 8 8 8 8 9 8 8 6 5 4 5 12 12 12 12 12 13 13 13 13 14 16 17 16 16 16 16 16 16 17 17 17 17 16 16 15 15 14 14 13 13 13 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 8 8 9 10 14 17 20 22 21 20 20 20 20 19 19 20 22 24 24
4 6 5 5 4 3 2 2 12 33 65 88 90 77 57 49 45 41 38 37 38 40 41 37 24 15 10 9 9 11 15 18 18 15 12 8 3 2 1 0 0 2 4 7 9 11 11 11 11 12 12 13 13 14 12 12 11 11 9 6 4 3 3 2 1 1 3 4 4 3 6 2 5 12 16 17 17 18 18 17 16 16 16 18 20 22 22 21 20 20 20 21 22 21 20 19 18 18 18 18 18 17 16 16 16 15 14 14 14 13 12 12 11 11 10 10 10 9 9 8 8 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 7 7 8 8 7 7 7 8 9 10 11 10 12 16 20 23 24 22 21 21 22 22 21 21 22 23 24 24
4 6 6 5 3 2 1 2 6 22 49 75 80 68 42 28 21 16 14 18 30 45 54 49 28 17 14 15 19 24 28 30 27 19 12 6 1 0 0 0 2 6 9 11 12 12 11 11 11 12 14 14 15 15 13 12 11 8 5 2 1 0 0 0 1 3 6 7 7 5 14 13 14 18 19 20 20 21 21 21 21 22 23 24 26 27 28 26 25 25 26 27 27 26 24 23 22 22 22 21 21 20 20 19 18 17 16 15 14 13 13 12 11 11 11 10 10 10 10 9 8 8 8 8 8 6 6 8 8 7 7 7 7 7 7 7 6 7 8 8 9 9 9 8 8 10 12 12 13 13 14 16 20 22 24 22 20 19 20 21 23 24 24 24 24 23
5 5 5 3 1 0 0 1 2 7 20 41 48 41 27 16 12 10 10 16 26 37 45 43 28 18 16 20 29 37 40 35 24 13 6 2 0 0 0 2 6 10 12 12 12 11 11 12 12 14 14 15 15 14 13 13 12 6 3 1 0 0 0 1 4 10 14 16 18 22 25 26 26 26 25 24 24 24 24 24 26 27 29 30 31 32 31 30 29 30 31 31 30 28 26 25 24 24 23 22 22 21 20 19 18 17 16 15 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 8 6 3 3 6 7 7 7 7 8 7 7 7 6 7 7 8 9 9 9 9 9 11 12 12 13 13 12 14 19 21 23 24 22 20 20 21 24 25 25 25 24 23
7 5 4 3 1 0 0 0 1 2 6 16 21 19 13 8 6 5 6 13 21 26 28 27 22 18 16 17 23 30 34 30 14 7 4 2 0 2 6 11 13 14 14 14 14 13 14 14 15 15 15 14 14 13 13 13 11 6 3 1 0 0 0 2 7 16 20 23 27 30 30 30 29 26 19 22 27 28 28 29 30 32 33 34 34 33 32 31 30 30 30 29 28 26 24 22 21 21 20 20 19 18 18 17 16 15 14 13 12 12 12 11 11 11 11 10 10 9 9 9 9 10 10 10 5 2 0 2 1 1 2 4 5 5 5 5 6 7 7 7 9 10 10 10 12 12 12 11 12 12 11 11 14 18 20 22 24 23 22 23 26 26 26 25 25 24
10 6 4 3 2 1 2 1 1 1 2 6 7 7 5 4 3 2 3 8 14 19 21 19 17 14 12 10 11 12 11 8 5 6 8 8 8 10 12 14 15 16 16 16 16 16 16 16 16 15 14 12 11 12 12 11 8 5 2 1 0 0 0 5 15 20 23 25 27 28 29 30 30 28 21 22 29 31 32 33 34 35 35 34 33 31 30 28 28 27 26 25 24 22 20 18 18 17 17 16 16 15 14 14 13 13 13 13 13 13 12 12 10 9 10 10 10 8 8 8 9 11 12 11 7 2 0 0 0 0 0 0 1 1 1 1 2 3 5 6 6 6 8 9 11 12 12 10 10 10 10 10 11 12 14 14 18 22 24 26 27 27 26 25 25 24
11 8 4 3 3 3 2 1 0 1 2 3 4 3 3 2 2 2 2 3 6 8 9 8 6 5 3 2 2 4 6 8 10 11 11 11 14 15 12 5 14 18 19 19 19 19 19 18 18 16 14 12 11 11 10 8 5 3 1 0 0 0 1 2 5 15 23 27 28 29 31 32 32 31 29 29 31 33 34 34 34 34 33 31 30 28 26 24 23 22 22 21 19 18 17 16 16 15 15 14 14 14 14 14 14 14 14 13 13 14 8 5 2 1 4 4 4 4 7 8 10 12 14 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 9 10 10 10 10 9 10 10 10 10 10 12 16 20 24 26 27 26 26 26 27
11 9 4 3 3 2 1 0 0 2 4 4 4 3 2 1 0 0 0 0 1 2 2 2 1 1 0 0 0 1 3 4 4 3 3 4 14 18 18 17 20 22 22 22 22 22 22 22 21 20 17 14 12 9 6 3 3 1 0 0 0 0 2 7 17 26 29 30 31 31 33 33 33 32 32 32 32 32 32 31 31 29 27 26 24 22 21 20 19 19 19 18 18 17 17 17 17 16 16 16 15 16 16 16 15 15 15 10 6 11 4 1 0 0 0 0 0 0 0 3 5 8 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 9 9 8 8 9 10 11 11 11 10 11 14 17 21 24 25 24 25 25 25
9 5 4 3 2 1 0 0 1 3 7 5 4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 0 1 2 3 4 4 4 3 1 12 19 21 22 23 23 23 23 24 25 26 27 26 24 20 17 13 10 5 0 0 0 0 2 7 13 19 25 30 32 33 34 34 34 34 33 32 32 31 31 30 29 28 27 26 24 22 21 20 19 18 18 18 18 19 19 20 20 20 20 20 19 18 18 18 18 18 18 17 17 16 11 3 2 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 0 0 0 0 0 2 5 7 7 8 8 8 10 12 12 12 11 11 12 14 16 19 21 22 22 23 22 22
8 4 2 2 2 1 0 0 3 5 4 4 6 7 8 8 7 4 1 1 3 4 2 3 5 6 4 2 3 4 5 6 6 5 4 6 16 22 24 24 25 26 26 27 30 31 32 30 28 24 20 16 13 10 6 0 0 0 5 16 27 32 35 35 35 35 35 35 34 34 33 32 31 30 29 28 27 25 23 21 20 19 18 18 18 17 17 18 20 21 22 22 24 24 24 24 23 22 21 20 20 20 20 19 16 13 10 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 1 2 3 6 7 8 8 9 10 11 11 11 11 11 13 15 18 20 21 22 23 23 23
8 3 1 1 1 1 1 1 4 6 5 6 8 10 12 12 12 10 9 5 7 8 6 8 9 8 6 6 7 8 8 8 8 7 8 16 23 27 28 29 30 31 32 33 34 34 32 30 26 22 19 16 14 9 4 3 2 6 14 26 34 37 37 36 35 34 34 33 32 31 30 29 29 27 26 25 23 22 20 19 18 17 16 17 17 15 14 16 19 22 24 22 20 23 25 25 24 20 17 16 18 16 12 8 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 1 3 5 7 7 7 8 8 10 12 12 12 11 12 14 17 19 20 22 23 24 24
9 4 1 1 0 1 1 2 3 6 8 10 11 12 12 12 10 8 8 8 9 10 11 12 10 9 8 9 10 10 11 11 11 12 14 21 27 31 32 33 33 33 33 34 34 33 31 28 24 21 19 19 18 19 18 15 12 13 19 31 35 36 36 35 34 34 33 32 31 29 27 26 25 24 23 22 22 21 19 18 17 16 15 15 14 12 12 12 13 14 14 10 9 12 13 13 11 10 9 8 8 6 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 1 4 7 9 8 7 6 6 7 9 11 12 12 12 13 16 17 19 21 22 23 23
13 8 2 2 2 2 2 3 6 9 12 12 12 12 12 10 9 9 11 13 15 17 18 16 11 9 9 10 10 11 12 12 13 15 19 27 30 31 32 32 32 31 31 32 32 32 31 29 26 23 22 22 22 21 20 21 22 24 25 32 34 34 34 33 33 32 31 30 28 26 24 22 21 21 21 20 19 17 15 13 12 11 10 9 9 9 9 9 9 9 9 9 7 6 4 4 6 6 4 3 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 0 0 0 0 0 0 0 2 4 6 6 4 3 3 4 7 9 12 12 12 11 13 14 15 17 17 18 19
15 11 5 4 3 3 3 5 8 12 14 13 13 13 13 13 13 14 13 15 16 16 14 12 10 9 9 10 10 11 11 12 13 15 19 27 29 30 30 29 28 28 28 29 30 30 29 27 26 25 24 24 22 18 13 14 22 28 31 32 32 32 31 31 30 29 29 28 26 24 22 21 21 21 20 17 12 9 8 8 7 7 7 6 6 6 6 5 4 4 3 2 0 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 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 3 2 2 2 3 5 7 11 12 11 10 12 13 14 13 12 13 14
11 10 6 5 4 4 4 5 7 10 14 14 15 15 15 16 17 18 18 18 18 16 10 9 9 9 9 10 10 10 11 11 12 16 23 23 24 26 26 25 24 24 25 26 26 25 23 21 21 22 24 24 22 18 11 12 20 27 31 31 31 30 29 28 27 26 25 24 23 21 19 18 17 15 13 11 8 7 6 6 6 6 4 4 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 1 1 1 2 3 3 3 2 3 3 4 6 10 12 13 12 12 12 13 12 12 13 14
7 6 5 5 4 4 4 4 6 9 15 15 16 16 16 17 18 18 17 18 16 13 9 8 8 9 9 9 9 9 10 10 11 11 11 12 14 16 17 16 15 16 20 19 18 16 14 13 14 16 18 17 19 20 13 12 15 19 23 26 26 23 21 18 15 15 18 17 16 13 11 10 8 7 6 6 5 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 1 3 3 4 4 4 3 3 3 4 5 7 9 11 16 17 16 13 12 12 12 13 14
5 4 4 4 4 4 5 10 14 15 16 16 17 17 17 15 12 9 9 13 13 12 14 16 15 13 10 10 10 9 9 13 13 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 13 14 13 13 13 13 14 14 13 12 12 12 11 11 11 10 9 8 8 7 6 4 3 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 0 0 0 0 0 0 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 2 2 2 3 4 5 7 8 9 11 14 15 15 13 12 11 11 12 12
3 2 3 4 4 4 4 10 14 16 16 17 18 18 18 16 12 8 8 8 11 16 20 21 20 20 19 19 16 13 11 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 9 11 14 17 15 13 11 10 9 10 10 10 10 10
3 2 2 3 3 4 4 5 8 12 16 17 18 18 19 15 11 9 9 9 12 16 21 22 22 22 22 21 20 19 16 14 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 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 0 0 0 0 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 1 1 1 2 3 4 5 6 7 8 11 13 15 14 13 11 9 8 6 6 6 7 8 9 9
3 3 2 3 3 4 4 4 6 10 14 14 14 15 18 14 12 12 13 14 16 19 23 23 23 23 23 22 22 21 20 17 13 10 10 9 9 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 7 5 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 2 3 2 2 3 3 3 2 2 2 3 4 5 5 6 6 7 8 9 12 14 16 16 14 12 11 10 10 7 5 5 6 7 8 8
4 4 4 4 5 5 6 6 6 7 8 8 9 10 13 15 17 19 20 21 22 24 25 24 24 24 24 23 23 21 19 14 11 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 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 1 3 5 5 4 4 3 3 4 5 5 6 6 6 6 6 8 10 12 13 15 15 14 11 11 11 10 9 8 7 6 6 6 6 6
6 5 5 6 6 7 8 8 8 8 7 8 10 13 16 18 20 22 22 23 24 24 24 25 24 24 23 22 21 19 15 11 10 10 9 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 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 2 4 4 3 3 3 3 4 5 5 5 5 5 5 6 6 7 8 9 9 8 7 6 8 10 8 7 6 6 6 6 5 4 5
7 7 7 7 8 8 9 9 9 9 11 12 14 15 16 20 21 22 22 23 23 24 23 23 23 22 21 20 18 15 11 10 10 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 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 0 0 0 0 0 1 2 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 6 6 5 5 5 5 5 4 4
8 8 8 8 9 9 9 9 10 11 17 20 20 19 18 20 22 22 22 22 22 22 22 21 21 20 20 19 16 10 10 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 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 0 0 0 0 0 0 0 0 1 3 4 7 7 6 4 3 2 2 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 4 3
8 8 8 9 9 10 10 10 11 12 16 18 19 19 22 22 22 22 22 21 20 17 17 19 21 21 20 19 16 12 10 9 8 7 7 6 6 6 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 5 4 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 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 2 1 0 0 1 2 2 2 2 2 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 4
9 9 9 10 10 10 11 11 12 12 12 12 12 13 17 19 20 20 19 16 12 10 11 17 21 21 19 17 14 10 8 7 7 6 5 5 5 4 4 4 5 5 5 5 6 6 6 7 6 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 2 4 5 5 5 5 5 5 6 6 6 6 6 7
10 10 11 11 11 11 12 12 12 13 13 12 12 11 11 12 13 13 12 12 11 10 10 15 19 20 18 14 10 7 6 6 6 5 5 4 4 5 5 5 6 6 6 6 6 5 5 5 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 4 4 4 5 6 6 7
11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 10 12 12 10 10 11 13 15 14 11 8 7 6 6 5 4 4 4 5 6 6 7 7 7 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 4 4 4 5 5 6
11 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 8 8 9 9 8 8 8 9 9 9 8 7 6 6 5 5 4 5 5 6 7 7 7 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 3 4 4