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 8 8 8 7 8 9 8 7 7 8 8 9 9 9 8 8 9 9 9 8 8 8 8 10 10 11 11 11 11 12 11 10 9 10 11 13 13 12 10 9 8 9 8 8 8 8 7 8 8 8 8 7 7 7 8 8 10 10 10 10 9 8 8 8 8 7 7 7 7 7 6 7 8 9 9 10 10 9 9 8 7 8 8 8 8 7 7 8 9 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 8 7 8 8 8 8 10 10 9 10 9 8 6 6 8 10 10 10 9 10 11 11 10 10 11 11 11 10 8 8 9 8 7 8 9 10 10 9 9 9 9 10 10 10 10 9 10 12 nan
nan 8 8 8 8 8 9 9 7 7 7 9 10 10 9 9 9 10 10 9 8 8 8 8 9 11 11 11 12 11 9 9 10 10 10 10 10 10 10 11 10 9 9 8 8 8 7 7 8 8 8 8 7 7 6 7 8 10 11 11 10 10 8 7 7 7 7 7 7 8 7 6 7 9 10 10 10 9 9 9 8 7 8 9 9 8 7 7 7 8 9 10 11 10 9 9 9 9 10 11 9 7 5 5 6 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 8 9 9 10 11 10 7 5 6 8 8 9 8 8 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 8 9 10 11 11 10 10 10 11 11 nan
nan 8 8 8 7 7 8 9 7 7 7 8 10 11 11 11 10 10 11 9 7 7 7 9 10 10 12 14 13 10 7 8 12 12 10 9 8 9 10 11 11 11 9 8 8 8 8 8 9 8 7 7 7 8 7 7 8 10 11 11 10 9 9 7 6 7 7 8 8 7 7 6 6 7 8 10 9 8 8 9 8 8 8 9 9 9 8 8 7 7 8 9 10 10 10 10 10 10 11 12 11 8 7 7 7 7 8 8 8 7 8 9 8 7 6 7 8 8 7 7 7 7 7 8 8 10 10 10 7 6 7 7 6 6 7 7 9 10 10 11 11 10 9 9 10 9 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 10 9 8 9 nan
nan 8 8 9 8 8 8 8 7 6 8 8 9 11 11 12 12 11 11 10 8 7 7 8 9 10 12 14 12 8 7 11 14 14 12 9 9 9 9 9 10 12 11 10 9 8 8 9 9 8 7 6 7 8 8 8 9 10 11 10 10 9 8 7 7 7 7 8 8 7 7 7 6 5 6 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 10 9 9 9 8 8 8 9 9 10 9 9 8 7 7 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 7 6 5 7 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 8 7 7 nan
nan 8 9 10 9 9 8 8 7 7 8 8 9 9 10 11 12 12 12 12 11 9 8 8 9 10 11 12 9 6 7 12 14 12 10 9 8 7 7 6 8 11 12 13 12 10 9 8 8 8 8 8 7 8 8 9 9 10 11 10 9 8 9 9 8 8 8 7 7 8 8 8 7 6 6 7 8 8 7 8 9 9 9 10 9 9 9 10 10 10 9 9 8 10 10 10 9 8 8 10 10 10 9 8 8 8 8 10 11 11 11 9 9 9 7 6 8 9 8 7 7 7 8 9 9 8 8 9 10 11 11 10 8 6 7 8 9 9 9 10 10 10 9 9 9 10 10 10 9 10 10 10 11 12 12 12 11 9 9 9 10 9 9 8 6 nan
nan 9 9 10 9 9 8 7 7 7 8 8 9 9 9 10 12 13 13 13 13 12 11 10 11 11 11 8 5 4 8 11 9 8 7 6 6 6 6 6 6 8 10 11 12 11 9 8 6 6 8 8 7 7 8 9 10 10 11 10 8 8 9 9 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 11 10 9 8 7 8 10 9 8 7 7 8 9 10 11 10 9 9 9 9 8 7 8 10 9 8 8 8 9 9 9 8 8 8 10 11 11 10 9 8 8 7 7 8 9 10 11 11 10 10 10 11 10 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 10 10 10 nan
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nan 10 10 10 9 9 8 6 5 5 6 8 9 7 7 8 8 7 8 11 11 10 12 13 13 10 7 5 4 4 4 4 4 5 5 5 5 5 6 7 6 6 6 5 4 4 4 5 6 7 8 8 8 7 9 12 13 13 11 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 8 8 7 7 6 6 6 6 6 8 8 8 8 8 8 8 7 7 8 8 9 8 10 10 10 9 9 9 10 9 9 9 9 8 9 10 10 10 11 10 9 9 9 8 9 10 10 9 9 9 9 9 10 11 11 11 11 10 10 9 10 10 10 11 12 13 13 14 nan
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nan 12 12 13 15 18 19 18 15 12 9 7 8 9 10 10 10 9 10 11 12 12 11 11 10 9 9 7 6 7 6 6 6 7 7 7 7 6 5 6 5 6 8 9 9 9 9 10 9 8 8 9 11 11 10 9 8 7 6 6 8 14 17 15 13 10 9 9 8 9 10 9 9 10 9 8 6 4 4 5 6 8 10 11 11 11 10 9 8 10 11 11 10 9 8 9 10 11 13 18 24 27 23 19 15 11 8 9 9 9 8 7 7 7 6 6 7 7 7 6 7 8 9 8 8 7 7 8 9 8 8 8 7 7 6 6 6 7 7 7 7 6 7 8 7 7 8 8 8 9 10 10 9 10 11 11 11 10 9 9 9 9 9 8 8 nan
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nan 14 14 14 13 12 11 10 8 8 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 7 5 5 5 5 4 6 8 7 7 7 8 8 8 7 7 8 9 10 11 11 11 10 10 9 8 8 8 7 7 7 10 14 16 16 13 12 10 9 7 6 6 5 1 -2 2 5 7 7 7 7 8 8 8 8 8 8 9 11 11 10 10 9 9 9 8 7 7 8 7 4 3 3 7 11 12 12 12 11 11 11 10 10 10 9 9 8 7 6 7 9 11 13 14 15 15 15 17 15 11 5 4 5 6 6 7 7 7 7 7 8 8 7 6 6 7 9 10 10 12 14 14 12 11 10 8 7 7 8 8 8 8 7 7 7 7 nan
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nan 13 13 13 12 10 9 9 10 10 10 10 10 10 10 9 9 10 11 12 12 12 12 11 11 11 11 11 10 9 8 8 8 5 4 6 8 9 9 9 9 9 9 8 9 9 8 9 9 10 9 8 8 7 6 6 6 6 6 7 14 17 15 12 9 9 9 8 9 10 11 8 3 2 4 8 9 9 9 11 12 14 14 14 13 13 11 10 10 9 9 9 8 8 9 10 10 11 12 12 11 10 10 15 19 19 15 13 13 12 10 9 9 9 9 9 9 8 8 8 9 9 9 10 12 16 23 26 23 21 17 14 11 9 8 7 7 9 9 9 10 10 10 10 11 11 10 9 9 9 9 9 9 10 11 11 10 11 12 14 14 13 13 15 16 nan
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nan 12 10 10 9 7 7 8 8 8 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 10 10 11 12 12 11 11 13 13 11 11 10 9 9 9 8 7 7 9 10 11 10 9 9 8 9 9 9 9 9 9 13 14 13 12 11 10 10 11 12 13 14 12 8 5 8 11 12 11 12 13 14 14 12 12 10 9 8 6 5 6 8 9 10 11 12 13 14 14 14 15 14 11 10 10 10 10 12 16 18 15 10 8 7 7 8 9 9 10 10 10 11 10 10 9 10 11 14 13 15 19 21 23 23 20 18 16 14 13 13 14 13 10 8 9 9 9 10 10 6 4 5 7 9 10 11 12 12 12 12 12 12 12 11 11 11 11 nan
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nan 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 9 10 11 11 11 12 13 14 13 12 12 11 11 11 12 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 11 11 12 12 13 15 15 14 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 11 12 12 11 11 12 12 13 13 13 12 11 10 10 9 8 8 9 10 10 11 12 12 12 12 12 13 13 12 12 11 11 11 11 10 10 11 10 11 10 10 10 10 10 10 9 10 10 9 10 10 11 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 10 10 11 11 12 11 11 nan
nan 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 12 12 12 13 13 13 14 13 12 12 12 11 11 10 11 12 11 11 10 9 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 10 10 11 11 11 12 12 13 14 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 12 12 11 10 9 8 8 9 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 11 10 10 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 10 11 12 11 11 11 12 12 12 10 9 11 12 12 12 11 nan
nan 9 8 7 7 7 7 8 8 8 8 10 9 9 9 10 10 11 11 11 11 12 12 13 13 13 14 12 12 11 10 10 10 10 9 9 9 10 9 9 9 9 9 9 8 8 9 9 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 12 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 10 9 8 8 9 10 12 12 12 11 11 10 11 12 11 12 12 12 12 11 11 11 12 13 13 12 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 12 12 12 11 11 11 10 11 13 13 13 12 nan
nan 9 8 7 8 7 7 8 9 9 9 9 9 10 10 10 11 12 11 11 11 12 13 12 13 13 12 11 11 10 10 9 9 9 8 8 8 8 8 9 8 9 8 9 9 9 9 9 9 10 10 11 11 11 12 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 10 10 10 10 10 9 9 10 11 10 10 11 11 10 10 10 10 11 11 12 12 12 12 12 11 10 9 8 8 9 10 11 12 12 11 11 10 10 11 11 12 11 11 11 12 12 13 14 14 13 12 17 19 14 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 12 11 10 11 12 12 12 12 12 12 12 12 12 12 12 13 nan
nan 9 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 10 10 10 10 10 10 11 12 12 12 11 10 9 9 9 10 10 11 12 12 12 11 10 10 11 11 12 11 11 11 13 15 17 18 18 15 12 17 24 20 14 11 11 11 10 10 10 11 11 11 11 11 10 11 10 9 9 10 9 9 10 10 10 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 11 nan
nan 9 8 8 9 9 9 9 9 10 10 10 10 10 11 10 10 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 9 8 8 8 9 9 9 10 10 10 10 11 10 11 11 12 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 10 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 10 10 10 10 11 12 12 11 10 9 10 11 11 11 12 12 12 12 11 10 11 11 11 12 11 10 11 13 16 18 19 19 16 12 14 20 21 17 14 11 10 11 12 13 12 11 11 11 11 10 10 9 9 9 8 8 10 11 11 11 11 11 11 12 11 12 11 11 11 11 11 12 12 12 11 11 11 nan
nan 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 9 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 12 11 11 10 10 11 11 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 10 11 11 11 10 11 12 11 10 10 10 10 11 11 12 13 13 12 12 11 11 11 11 11 11 12 12 13 14 15 12 10 11 9 7 9 12 15 18 16 11 9 12 15 15 14 12 11 11 11 11 10 9 9 9 9 10 11 12 12 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 10 10 11 11 11 12 12 12 11 11 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 12 12 11 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 12 13 12 11 11 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 13 15 16 16 16 14 11 8 6 5 4 5 6 8 12 13 10 9 12 15 15 12 11 10 10 11 11 10 9 8 9 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 10 10 nan
nan 10 11 11 12 12 13 13 13 13 12 11 10 11 10 10 10 11 11 11 11 10 10 10 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 13 12 12 12 13 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 10 10 10 11 12 12 13 14 13 13 13 13 13 14 15 18 21 19 17 14 12 9 7 7 7 6 6 6 9 10 10 10 10 11 11 11 10 10 11 11 10 9 8 9 10 11 11 12 12 11 11 11 12 12 12 12 13 11 11 12 12 13 13 12 11 11 11 11 nan
nan 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 11 12 12 11 11 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 12 13 13 12 12 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 10 10 11 12 12 12 12 12 13 14 14 15 17 19 21 21 20 16 12 9 8 9 10 9 8 7 7 8 9 11 11 9 7 7 10 10 11 11 11 10 9 10 9 10 11 11 11 12 11 11 11 12 12 12 13 12 11 11 11 12 13 13 12 11 12 12 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
6 13 20 20 16 14 12 11 11 15 22 28 31 32 32 33 34 36 41 50 60 71 80 87 89 84 81 79 73 68 62 55 47 34 24 15 10 7 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 1 4 12 20 26 27 25 23 20 15 9 6 4 2 1 0 0 0 0 0 0 0 0 0 4 16 30 39 46 54 60 64 62 62 70 81 90 89 90 87 78 65 52 41 38 42 49 59 68 75 81 94 78 52 35 30 31 33 31 27 23 21 23 28 34 38 39 36 41 44 42 38 34 32 32 32 34 39 45 50 52 52 52 51 48 44 40 36 32 24 14
6 13 18 17 14 12 11 11 11 14 18 22 25 26 27 29 29 30 37 49 59 71 81 88 89 80 78 76 69 63 58 43 26 17 12 9 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 3 10 18 25 26 23 22 22 17 10 6 4 3 2 1 0 0 0 0 0 0 0 0 1 10 26 36 48 60 67 66 58 58 62 70 75 72 73 73 69 62 56 50 48 47 49 58 72 81 85 98 92 73 49 29 27 30 31 30 29 26 28 32 39 47 49 43 45 49 48 44 40 39 38 37 39 43 48 53 54 54 53 53 52 51 50 47 43 36 27
5 11 14 14 12 10 8 10 12 14 18 21 22 22 23 25 27 30 37 50 59 72 84 91 90 83 80 74 66 56 42 24 13 9 6 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 2 7 13 17 19 14 12 12 12 10 8 6 5 3 1 0 0 0 0 0 0 0 0 1 10 24 36 50 64 70 66 60 57 56 56 57 56 56 56 55 55 55 50 48 45 45 51 67 78 83 94 99 87 57 36 28 29 32 32 33 34 37 41 48 56 58 48 45 45 46 44 43 44 44 44 45 49 52 52 51 50 50 51 54 56 57 56 53 47 37
3 6 8 9 9 8 7 9 11 15 20 24 25 22 23 26 30 36 42 51 62 75 87 94 93 88 83 73 60 42 22 8 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 2 5 8 10 11 8 7 7 8 8 8 7 6 4 2 1 0 0 0 0 0 0 1 7 24 34 43 54 64 68 64 58 52 48 46 48 49 48 47 48 53 60 56 52 48 46 49 61 73 81 89 93 90 76 60 46 38 33 30 31 36 42 48 54 61 64 52 44 41 40 40 42 42 43 44 47 50 52 50 48 46 45 48 52 56 58 59 59 56 47
1 4 4 5 6 6 7 8 10 16 22 26 28 28 30 32 37 43 48 55 68 80 89 95 96 93 82 64 43 23 8 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 1 2 3 4 4 3 3 4 5 7 8 9 7 6 4 1 0 0 0 0 0 3 15 35 48 52 54 59 65 63 60 55 48 40 37 45 46 44 43 47 57 65 65 62 58 54 53 60 68 79 91 98 95 94 88 74 56 40 33 32 36 41 46 48 51 60 53 45 40 35 35 37 38 38 41 48 53 56 54 50 47 45 45 48 51 54 56 57 57 53
1 2 3 4 5 6 7 8 11 18 24 30 34 37 38 41 47 52 55 58 70 81 88 93 95 90 68 42 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 1 1 2 2 4 5 6 6 5 4 1 0 0 0 0 2 9 30 56 69 69 65 67 71 68 65 62 55 47 45 47 45 42 42 46 57 67 71 68 63 58 59 62 64 74 89 100 98 99 98 90 75 54 47 43 41 41 44 42 40 44 44 40 36 32 32 32 34 37 42 49 56 59 58 55 52 50 51 53 55 56 55 53 52 51
0 2 4 5 6 7 9 11 15 22 29 36 40 41 42 49 57 61 59 57 65 74 80 84 87 77 46 18 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 1 0 1 1 2 2 2 1 0 0 0 0 0 3 13 36 60 74 77 74 76 80 82 84 82 75 66 59 55 52 50 48 50 60 72 78 75 69 64 63 64 66 71 80 90 94 98 100 100 98 74 65 60 55 49 47 46 43 37 33 30 30 29 30 32 35 40 45 51 56 60 62 62 59 58 61 64 65 63 58 54 51 49
0 1 4 5 7 8 9 12 18 27 35 41 43 42 45 53 61 62 57 52 56 61 67 71 71 51 18 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 1 4 15 33 52 65 71 75 80 87 96 103 102 93 83 76 71 68 66 63 66 75 87 93 87 76 70 68 70 72 73 75 83 92 103 112 110 112 96 86 80 75 64 56 51 45 39 34 28 26 28 32 38 44 50 54 58 61 63 66 64 60 60 64 67 67 65 59 54 50 46
0 1 2 5 6 7 9 11 18 28 38 45 46 44 47 51 53 51 44 40 40 43 50 53 45 21 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 1 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 2 3 6 10 19 32 44 53 59 68 76 84 94 101 101 94 87 85 84 84 82 82 87 98 110 116 106 89 80 78 81 87 86 88 95 105 118 130 126 122 115 108 100 94 78 68 59 50 42 36 32 28 31 39 49 59 62 67 69 69 69 70 69 66 66 66 67 65 62 57 53 50 49
0 0 1 4 6 8 9 9 15 27 39 47 49 48 48 44 39 33 29 26 26 29 35 35 21 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 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 1 3 6 10 16 25 34 43 50 53 57 63 70 80 88 86 81 78 80 82 85 87 94 105 117 127 130 116 100 95 95 99 105 107 112 118 127 138 147 143 136 132 126 114 103 90 80 69 58 51 46 39 35 36 44 61 76 73 72 71 71 73 71 69 69 70 68 64 61 58 56 56 58 56
0 0 0 3 6 8 10 10 14 24 36 46 50 51 49 41 32 25 20 18 19 23 24 19 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 2 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 1 3 6 11 20 29 38 47 56 58 55 54 59 67 72 72 67 65 68 74 82 93 107 119 127 134 131 115 106 105 109 114 116 119 122 127 132 140 146 148 146 142 134 121 106 95 88 80 70 62 58 48 40 39 44 58 64 65 64 64 64 64 63 62 63 64 59 56 55 56 60 66 70 68
0 0 0 3 6 8 11 12 17 26 36 44 50 55 54 46 34 24 19 17 18 17 13 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 1 2 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 1 5 13 22 32 41 48 57 59 57 56 59 62 62 59 56 56 60 70 83 102 120 129 132 136 122 109 102 103 109 115 114 113 114 114 110 115 124 130 132 129 122 114 104 94 87 83 81 74 69 58 47 42 43 48 52 54 58 64 67 66 63 61 60 59 54 51 52 57 67 77 80 78
0 0 0 2 5 8 12 17 24 31 37 44 51 59 61 54 41 29 21 16 11 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 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 2 7 17 25 34 40 43 49 53 54 57 60 63 61 60 57 55 58 69 89 108 123 130 130 124 106 91 85 88 96 103 102 100 99 97 93 92 101 108 110 105 98 94 92 92 89 75 77 78 77 72 59 45 43 45 48 52 59 70 78 81 82 83 81 75 66 60 59 66 76 89 92 86
0 0 0 2 5 9 14 22 32 37 40 44 53 62 63 56 42 27 17 10 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 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 1 5 13 21 28 33 38 40 45 50 54 56 58 57 60 60 59 58 62 76 95 111 121 123 116 100 83 73 72 79 89 96 96 94 91 89 89 91 96 99 97 89 84 80 81 85 85 77 72 75 79 80 74 58 50 49 53 58 64 73 84 95 106 113 108 95 79 69 70 72 78 88 91 84
0 0 1 3 6 10 16 28 38 43 46 49 58 63 56 42 26 13 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 2 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 2 8 18 26 32 38 45 47 51 54 54 51 46 48 53 56 57 59 66 81 94 102 104 103 93 79 69 67 70 79 88 94 96 96 95 95 98 100 101 98 93 83 77 74 74 77 81 80 77 78 80 79 77 68 62 64 71 77 78 82 88 98 114 136 117 98 82 72 69 67 67 68 68 65
0 0 1 4 7 11 18 32 42 47 51 57 64 55 37 18 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 1 2 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 18 30 39 45 51 60 64 62 58 52 45 40 39 40 43 47 52 63 76 84 85 80 76 71 66 66 68 73 78 82 87 92 99 103 107 109 110 106 99 88 78 73 71 71 75 79 84 87 88 86 81 78 76 76 80 87 89 90 89 86 83 91 106 103 90 78 71 68 66 64 62 60 54
0 0 1 4 8 12 19 34 44 51 57 62 58 36 17 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 1 2 3 3 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 15 28 43 54 59 62 69 72 67 56 44 35 30 26 25 27 32 40 53 65 72 70 64 60 59 61 63 65 66 67 70 75 84 96 106 111 112 108 102 96 83 74 70 70 74 76 78 82 85 85 82 80 78 77 79 84 85 84 83 82 80 78 84 89 88 82 76 74 75 78 80 79 72 61
0 0 1 5 9 14 21 35 45 55 62 60 41 17 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 1 4 6 6 6 7 6 4 2 0 0 0 0 0 0 0 0 0 1 4 7 10 13 21 33 48 60 68 69 68 62 52 42 34 30 25 20 17 16 18 24 33 42 49 51 47 46 48 50 51 53 51 51 55 64 75 87 95 98 98 95 89 81 72 66 63 63 66 67 69 71 70 68 67 67 66 66 70 70 70 69 69 69 74 77 78 77 78 80 78 77 81 88 96 97 87 73
0 0 2 6 10 15 23 34 47 59 62 50 22 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 3 6 8 8 9 9 8 6 3 1 0 0 0 0 0 0 2 5 10 14 16 18 25 37 52 64 69 66 57 47 37 32 32 30 28 23 18 14 13 13 16 20 24 27 27 28 30 33 36 38 38 39 44 53 62 68 71 73 74 72 68 62 58 54 50 50 51 54 61 65 56 53 52 50 50 52 54 53 52 52 54 58 63 63 62 65 72 77 75 76 82 92 103 101 90 76
0 1 4 7 12 18 26 37 52 60 54 32 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 3 6 9 10 11 12 13 12 10 6 1 0 0 0 0 1 5 12 19 22 22 24 31 42 57 70 74 63 47 34 27 29 35 35 31 26 19 14 12 11 10 10 10 12 13 15 17 21 24 26 27 28 32 36 40 44 46 48 51 52 50 48 45 42 41 43 47 57 71 74 50 42 39 40 43 47 44 40 38 40 46 50 54 54 55 59 64 64 64 68 79 93 100 96 87 75
0 2 5 9 15 22 32 44 58 56 38 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 13 15 18 19 15 7 2 1 1 2 6 11 17 21 23 25 30 36 46 60 73 75 60 44 36 41 52 55 52 42 29 18 12 10 9 8 7 5 4 4 6 7 9 11 13 15 15 16 16 19 23 27 31 35 39 40 38 36 36 42 48 54 64 75 68 48 37 32 33 39 45 45 44 44 45 48 49 53 55 56 55 56 53 54 61 73 83 89 95 96 83
1 2 5 11 19 29 40 54 57 40 17 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 2 4 10 14 17 21 25 23 16 10 7 6 10 16 20 20 18 17 22 32 41 51 62 70 67 57 48 45 53 70 80 78 64 43 24 15 11 9 8 5 2 1 0 0 1 2 2 3 3 4 4 5 7 10 14 17 23 28 32 33 34 39 47 54 57 59 62 53 43 36 32 33 40 48 52 54 54 49 45 44 46 48 48 46 48 48 50 56 60 68 86 106 114 98
1 4 7 13 23 36 50 56 40 19 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 2 9 14 17 21 26 30 29 27 23 21 22 27 28 25 19 17 26 38 49 57 62 64 58 50 46 51 59 75 89 95 91 71 49 33 23 16 11 7 4 1 0 0 0 0 0 0 0 0 0 0 2 3 5 8 12 16 20 24 25 28 33 40 47 53 55 49 42 36 34 36 48 55 58 58 56 48 42 38 36 38 41 43 48 52 55 59 61 64 79 100 99 88
1 4 8 14 27 41 50 39 19 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 1 6 11 15 18 23 32 40 46 48 48 46 42 37 30 23 25 35 46 54 57 58 60 60 60 65 76 82 90 98 106 109 100 84 68 52 37 24 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 11 10 13 19 28 38 49 51 49 47 44 40 45 54 59 59 58 53 47 42 39 37 40 47 53 60 63 62 63 57 56 64 82 71 65
2 4 8 15 27 37 35 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 16 21 29 36 43 51 60 62 58 50 39 33 37 44 50 53 53 50 54 60 69 83 106 102 93 91 96 103 102 96 89 78 63 45 30 20 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 4 5 8 12 17 28 44 46 46 47 45 44 48 51 54 55 59 52 50 51 51 49 52 60 68 72 74 70 72 70 65 63 60 48 47
3 4 8 15 22 25 17 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 1 3 6 10 14 17 22 25 28 33 44 53 56 53 46 43 46 48 48 45 44 45 49 58 73 95 108 93 79 75 79 83 81 78 78 78 72 58 45 35 28 23 17 12 9 7 4 0 1 1 1 1 1 0 0 0 0 0 1 4 10 15 20 30 39 42 45 53 60 60 55 52 52 57 60 61 63 68 70 69 70 75 77 75 80 80 79 77 75 73 59 42 42
3 5 9 14 17 16 8 1 0 0 0 0 0 0 1 1 1 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 14 15 17 20 29 39 46 48 46 47 49 47 41 36 38 43 47 50 57 70 74 67 60 58 63 62 59 57 58 61 59 59 58 56 53 50 44 39 34 28 23 16 13 10 9 9 7 5 3 1 0 0 0 3 10 22 34 41 43 44 52 70 80 76 68 60 55 62 69 76 79 75 72 74 79 80 75 68 69 68 67 66 65 64 57 50 53
5 6 9 12 13 9 1 0 0 0 0 0 0 1 2 3 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 2 10 14 10 4 1 0 0 0 0 0 0 0 0 0 1 3 7 9 10 12 13 14 17 24 34 42 47 47 47 47 44 38 35 35 34 33 30 29 34 41 45 48 49 50 50 50 51 51 51 50 51 57 63 66 66 64 60 55 49 43 36 31 28 27 26 27 24 16 7 2 1 1 4 12 29 45 53 54 55 72 90 96 90 79 70 63 63 67 71 73 66 62 63 65 63 56 51 47 44 42 46 50 52 54 57 60
6 5 7 9 8 4 0 0 0 0 0 0 0 1 2 3 3 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 1 6 22 29 20 8 0 0 0 0 0 0 0 0 0 0 1 4 9 11 13 14 15 17 21 29 38 48 53 49 45 42 41 41 39 33 25 17 11 9 14 25 34 40 42 42 43 44 46 46 48 49 50 52 54 59 61 60 57 52 49 44 40 37 36 37 41 49 53 50 42 25 14 8 8 17 36 55 67 73 78 88 90 87 81 73 68 62 57 52 47 45 44 41 40 39 40 38 38 37 35 34 43 51 59 65 70 63
4 4 4 5 4 1 0 0 0 0 0 0 0 0 0 1 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 3 12 31 38 26 8 0 0 0 0 0 0 0 0 0 0 2 5 10 14 16 19 22 26 32 42 53 62 61 50 40 36 38 41 36 30 22 15 9 8 13 22 29 32 34 35 35 35 36 38 44 50 51 49 46 47 47 45 43 40 38 36 34 33 34 36 43 56 70 83 86 72 52 34 28 38 56 74 86 91 90 85 73 63 56 49 46 40 34 28 22 19 18 17 16 16 18 22 28 33 38 45 53 60 66 72 72 54
1 0 1 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 1 4 15 38 42 26 7 0 0 0 0 0 0 0 0 0 1 3 8 13 17 21 26 33 39 46 57 67 72 61 45 34 29 31 31 27 24 21 18 16 18 22 27 31 33 32 27 23 22 24 29 37 42 42 38 33 30 30 31 31 30 29 29 30 33 36 43 52 63 75 88 100 101 90 75 67 75 86 94 92 81 66 50 38 31 26 21 17 13 10 8 6 4 4 3 3 3 5 10 17 27 36 43 52 59 55 59 56 45
0 0 2 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 1 5 16 36 36 23 7 0 0 0 0 0 0 0 0 0 1 6 15 20 24 30 36 45 52 60 66 71 70 55 37 24 18 18 16 18 20 24 25 26 28 32 35 38 36 26 16 11 10 12 16 21 24 24 20 17 16 18 20 22 23 24 26 31 38 44 52 61 66 67 66 74 84 89 87 80 74 69 62 50 36 23 14 10 7 6 4 3 2 1 0 0 0 0 0 0 2 6 13 22 24 24 25 33 43 35 35 31 28
2 2 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 19 28 25 15 4 0 0 0 0 0 0 0 0 0 3 12 24 32 39 46 53 61 66 68 66 62 55 41 26 14 8 8 10 16 24 30 32 32 34 37 41 42 37 23 11 5 3 3 4 6 8 10 9 10 11 14 16 16 18 21 28 37 47 51 59 65 65 62 56 51 49 49 49 42 33 24 17 6 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 6 14 21 17 12 11 15 20 26 25 24 24 29
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