Vorticity
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nan 3 3 3 4 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 7 7 9 11 11 10 8 7 7 6 6 6 6 6 5 5 5 5 4 4 3 2 0 -1 -2 0 3 5 6 7 9 9 7 6 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 nan
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nan 7 7 7 7 7 7 7 7 8 11 13 14 13 12 10 9 8 8 8 8 7 8 8 8 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 11 11 10 9 9 9 8 9 10 12 13 12 11 10 8 6 5 5 5 3 2 3 3 5 8 12 18 23 23 21 18 15 13 13 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 7 6 5 5 5 6 8 11 13 13 12 11 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 10 9 9 10 11 12 13 12 11 9 8 7 7 7 5 4 4 4 5 5 7 12 18 22 24 24 22 20 19 18 17 14 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 7 6 6 6 7 8 10 12 13 12 10 8 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 8 8 7 7 7 7 7 6 6 6 7 8 9 9 10 10 11 12 13 13 12 10 9 8 8 8 10 10 10 10 9 9 8 8 8 7 6 7 6 5 4 6 10 15 21 25 26 28 28 27 25 21 16 13 12 11 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 8 8 8 9 10 10 9 8 6 5 5 5 6 7 8 7 7 6 7 7 7 7 6 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 7 6 6 6 6 6 6 7 8 9 10 10 11 11 11 12 13 13 14 13 11 9 8 8 9 9 10 9 9 9 8 9 9 8 8 7 7 6 5 4 5 8 13 18 21 24 27 29 29 26 21 17 14 13 12 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 9 10 10 9 8 8 8 7 7 7 7 6 6 5 5 6 6 7 8 8 7 6 6 6 7 7 6 6 5 5 6 7 7 7 6 6 7 8 8 7 7 7 8 9 10 11 11 10 10 9 8 7 7 7 6 5 4 4 5 7 8 9 10 10 11 11 12 11 11 11 12 14 14 14 12 11 11 10 10 10 10 9 9 8 9 9 9 8 8 8 8 7 6 5 6 8 10 12 14 17 21 25 27 25 21 18 15 14 13 12 12 11 11 11 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 8 7 8 8 7 6 6 6 6 6 6 6 7 6 7 7 9 9 7 6 6 7 7 7 7 7 6 5 6 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 8 7 7 6 5 4 4 6 8 8 8 8 9 10 11 12 11 10 10 10 11 12 12 12 12 11 11 12 12 11 10 9 9 9 10 10 10 9 9 9 9 8 7 6 6 7 8 8 9 12 19 24 27 26 23 19 17 15 14 13 13 12 12 11 11 11 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 nan
nan 8 9 9 8 8 9 9 8 7 7 8 7 7 7 7 7 6 6 6 8 9 8 7 7 7 7 8 8 9 8 7 6 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 10 11 11 11 11 10 9 9 9 10 10 10 10 11 12 12 12 11 10 10 9 10 10 10 10 9 9 9 9 8 7 6 6 7 7 7 9 14 20 25 28 27 24 21 18 16 15 14 14 13 12 12 12 11 11 11 10 10 9 8 8 7 7 7 6 6 6 6 6 nan
nan 9 9 10 10 10 10 10 9 9 8 9 8 7 7 7 6 5 4 4 5 7 8 8 7 7 7 7 8 9 9 8 6 5 4 6 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 9 10 12 13 14 14 13 12 10 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 12 12 11 9 9 9 10 10 9 9 9 8 7 6 6 7 7 7 8 10 14 19 24 27 29 27 23 20 18 16 15 14 13 13 13 12 12 12 11 11 10 9 9 8 8 7 7 7 6 6 6 nan
nan 8 10 11 11 11 12 11 10 8 8 8 8 7 7 6 6 5 4 3 4 5 6 6 5 5 5 5 5 7 8 8 6 5 3 4 6 7 8 9 11 12 11 10 10 9 9 8 7 8 8 9 10 12 14 16 17 17 16 15 13 12 10 8 7 6 7 9 10 10 10 9 9 9 9 9 9 9 8 9 9 10 12 13 13 12 10 8 8 9 9 10 9 9 9 8 8 7 7 7 7 7 7 9 12 16 22 27 29 28 25 23 21 20 18 17 15 14 13 13 13 12 12 11 10 10 9 8 8 8 7 7 7 6 nan
nan 7 9 10 11 11 11 11 9 7 6 7 7 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 6 7 8 8 7 6 6 7 8 9 10 11 12 10 8 7 7 6 6 6 7 9 10 12 13 14 15 16 17 17 17 16 15 13 10 7 5 6 8 9 10 9 9 9 9 9 9 9 9 8 7 7 8 9 11 12 12 11 10 9 9 9 10 9 9 9 10 9 9 7 6 6 6 6 6 7 9 13 18 24 27 29 28 28 28 28 26 23 19 16 14 14 13 13 12 12 11 10 10 9 8 8 7 7 7 nan
nan 6 7 8 9 10 10 10 8 6 5 5 6 6 5 5 6 6 7 7 7 7 6 6 5 4 4 4 4 5 7 8 9 9 8 8 8 8 9 10 10 9 7 5 4 4 3 4 5 7 9 10 12 13 14 15 16 17 17 17 17 17 15 14 11 9 8 8 10 10 10 10 9 9 9 9 10 10 9 7 6 6 7 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 7 6 5 5 5 4 4 5 7 11 16 20 25 28 29 30 33 34 31 25 20 17 16 15 14 14 13 13 12 11 10 10 9 8 8 7 nan
nan 6 6 6 8 9 9 9 8 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 9 9 8 8 9 9 10 9 7 5 3 2 2 3 4 6 7 8 9 10 12 14 16 17 17 18 18 18 18 17 17 16 13 11 10 10 11 11 10 10 10 9 9 10 10 10 9 7 7 7 7 9 10 11 12 13 13 12 11 10 9 8 8 8 8 8 7 6 5 5 4 4 5 6 8 10 12 16 19 21 22 25 28 29 26 22 19 17 16 15 15 15 14 13 13 12 11 10 10 9 8 nan
nan 6 6 6 7 8 9 10 10 8 5 4 5 7 8 9 10 10 10 10 10 10 10 10 9 9 8 6 4 4 5 6 7 8 8 9 9 9 10 10 10 7 4 2 2 3 4 6 7 8 8 8 8 9 11 13 14 15 16 17 17 18 19 20 19 17 14 11 11 11 11 11 11 11 10 9 9 10 10 10 9 7 6 7 8 9 10 11 12 13 13 12 12 11 9 8 7 8 8 8 7 6 5 5 4 5 5 7 7 8 9 10 12 13 14 16 18 20 19 18 17 17 16 16 15 15 14 14 13 13 12 11 10 9 nan
nan 8 6 6 6 7 9 10 10 9 7 5 6 7 9 11 12 12 11 11 11 10 10 10 10 9 9 7 5 4 4 5 6 7 8 9 10 11 12 12 12 10 7 4 3 4 6 7 8 8 8 7 6 6 7 8 10 12 14 15 15 16 18 19 19 18 16 13 11 11 10 10 11 11 10 9 8 9 10 11 10 8 6 7 7 8 9 9 10 11 12 12 12 12 11 9 9 9 9 9 8 8 7 6 5 4 4 5 7 7 7 7 8 9 10 11 12 13 15 15 16 16 16 16 15 15 15 14 14 14 13 13 12 11 nan
nan 8 7 6 7 7 8 9 10 10 8 6 6 7 8 10 11 12 12 11 11 10 10 10 10 10 9 8 7 6 5 5 5 6 7 8 10 12 13 14 14 12 9 7 6 6 7 7 7 7 6 6 6 5 6 6 7 9 11 12 12 13 13 14 14 15 14 13 12 11 9 9 9 9 9 9 9 9 10 11 10 9 7 7 8 8 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 8 8 8 6 5 4 4 5 6 7 7 8 8 10 11 12 13 15 15 15 14 14 15 15 14 14 14 14 14 14 14 13 12 nan
nan 9 8 8 8 8 7 8 8 9 9 8 7 7 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 8 7 5 4 4 5 7 8 10 12 13 13 13 11 10 8 7 7 6 5 4 5 5 6 6 6 6 6 7 8 8 8 8 7 8 8 9 10 11 11 11 10 9 8 7 8 9 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 6 4 3 4 5 6 7 8 9 12 15 17 19 21 21 18 16 14 13 13 13 13 13 13 13 14 14 14 14 nan
nan 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 11 11 11 11 11 11 11 11 10 10 9 8 8 6 4 3 4 5 6 7 9 10 11 12 12 11 9 7 5 4 3 3 3 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 9 10 10 10 9 8 8 8 9 9 7 7 8 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 10 10 10 9 9 8 8 7 6 4 3 4 5 6 8 10 14 19 22 23 24 26 25 22 18 15 13 12 12 12 12 12 12 13 13 14 nan
nan 9 8 8 7 7 7 7 8 9 9 10 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 7 5 4 4 5 5 6 7 8 10 11 12 12 9 6 4 4 3 2 2 2 4 5 5 5 5 5 4 3 3 4 6 7 7 7 7 7 8 9 9 9 9 7 7 7 8 8 7 7 8 8 8 7 7 8 8 8 7 8 9 11 12 12 12 11 10 10 10 10 9 9 9 8 8 8 7 6 5 4 4 6 8 10 13 15 17 18 21 24 28 27 24 19 14 12 12 11 11 11 11 11 12 13 nan
nan 9 9 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 8 6 4 4 5 6 8 8 9 11 12 13 11 8 6 5 4 2 1 2 3 4 4 4 4 3 3 3 4 6 8 10 10 9 7 7 8 8 8 8 7 6 6 6 7 8 9 8 8 7 6 5 5 5 6 7 7 7 8 10 11 12 12 12 11 10 10 10 9 9 9 8 8 8 8 8 7 5 5 7 8 8 9 9 9 11 13 17 22 26 27 23 17 14 12 12 11 11 10 10 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 9 9 9 9 8 8 9 10 10 10 11 12 12 11 8 5 4 5 7 8 8 8 9 11 13 12 11 10 9 7 3 2 3 3 4 4 3 3 3 4 4 6 8 10 10 10 8 7 8 8 9 9 9 9 8 7 6 6 7 9 8 8 6 5 4 3 3 4 5 6 6 6 8 9 10 11 12 12 12 11 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 7 6 6 6 7 8 12 17 23 23 19 15 14 13 12 11 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 10 10 9 9 10 10 10 10 11 11 12 11 9 8 7 7 7 7 7 8 9 10 11 11 12 12 10 7 4 4 5 5 4 4 4 4 4 5 7 9 10 9 8 8 8 8 9 10 9 10 11 10 9 8 7 7 8 9 9 8 8 7 5 5 4 4 4 4 4 5 7 9 10 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 8 9 9 9 8 7 5 4 2 -0 -0 4 10 15 15 14 14 13 12 11 11 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 6 7 8 9 10 10 10 10 10 10 10 8 8 9 10 11 12 10 9 8 8 7 7 7 8 9 9 10 11 12 12 9 7 6 6 5 4 3 4 3 4 4 5 6 7 7 7 7 8 8 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 10 9 9 9 8 6 5 4 5 6 7 9 9 10 11 11 11 11 12 12 11 11 10 9 9 9 10 9 9 9 9 10 9 7 5 1 -3 -5 -4 -0 5 9 11 11 11 11 11 11 10 10 9 nan
nan 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 8 7 7 7 8 9 9 10 10 10 9 8 8 7 6 7 8 10 11 10 9 8 8 8 8 8 8 8 9 9 10 11 12 11 10 9 8 7 5 5 5 4 4 3 2 2 2 4 5 6 7 7 8 8 8 9 10 10 11 12 12 11 11 10 11 12 12 12 12 12 12 11 10 9 7 6 5 6 7 8 8 9 10 11 11 12 13 12 12 10 9 9 9 9 8 8 8 8 8 9 9 10 10 7 4 2 2 3 5 7 8 9 10 10 10 9 9 9 nan
nan 9 9 9 9 9 9 9 9 8 8 8 7 7 8 9 9 9 8 7 7 7 7 8 9 9 8 7 7 7 8 8 9 10 11 11 9 8 8 8 9 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 9 8 8 6 4 2 1 2 4 5 6 6 6 6 7 8 9 9 9 11 12 12 12 11 11 11 12 12 12 12 12 12 13 12 11 9 7 6 6 6 7 9 10 10 10 11 12 13 12 11 11 10 8 7 7 7 8 7 7 7 10 13 17 19 18 15 11 7 6 6 6 7 8 8 8 8 8 8 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 8 9 9 9 9 9 10 11 11 10 8 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 12 13 13 12 12 11 10 8 6 5 5 5 5 5 5 5 6 6 7 8 9 10 12 12 12 12 11 11 11 10 10 11 11 12 13 13 13 12 11 9 8 7 8 8 9 9 9 9 10 11 12 12 11 9 8 6 6 7 9 9 9 9 11 13 16 20 22 20 16 12 9 8 7 7 7 7 7 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
14 8 4 3 2 3 5 7 8 9 9 8 9 9 8 8 8 9 9 9 7 8 11 16 18 17 15 14 13 12 11 9 9 8 7 7 7 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 1 2 5 10 16 23 30 39 47 57 71 75 70 61 57 58 57 59 62 66 71 75 75 68 50 34 28 29 29 28 26 25 24 25 26 26 26 26 28 29 31 36 42 45 42 34 28 23 21 21 20 20 19 19 20 21 23 26 30
10 4 0 0 1 3 6 7 11 14 14 12 10 9 10 9 7 9 10 11 9 9 13 16 18 17 15 14 13 13 11 9 8 8 8 7 7 6 5 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 2 4 9 15 22 29 34 40 54 75 89 83 71 65 66 69 73 76 79 80 78 78 66 46 33 29 30 30 28 25 21 20 19 21 25 26 27 28 28 30 33 38 45 40 32 27 24 23 22 20 20 20 19 19 21 24 26 28
7 0 0 0 2 5 6 8 13 17 19 17 13 10 11 11 12 12 12 11 10 11 13 17 18 17 15 14 13 11 9 8 7 8 9 8 7 6 4 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 1 3 6 12 18 23 29 38 53 75 91 85 72 62 59 61 65 65 65 62 61 62 53 39 31 29 30 30 27 22 18 14 14 14 18 22 24 26 27 27 28 33 40 37 32 30 27 26 25 24 23 23 22 20 23 26 28 30
7 1 0 0 3 6 8 11 15 20 23 22 18 15 15 14 13 14 13 12 11 11 13 16 17 16 14 13 11 9 8 7 7 7 8 7 5 4 4 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 1 3 8 12 16 22 37 52 72 82 76 62 49 42 39 37 37 38 37 39 41 38 32 30 30 30 28 23 18 14 12 12 13 16 18 20 21 23 24 24 26 32 32 30 30 29 28 28 27 26 25 23 22 24 27 29 31
8 3 0 2 6 11 14 15 19 24 27 24 21 19 17 16 14 14 15 13 10 10 11 14 16 15 14 12 9 7 7 7 7 6 7 7 5 3 4 4 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 2 4 6 5 13 35 54 68 73 64 49 36 29 25 23 22 23 23 25 27 28 28 29 28 26 22 16 13 12 12 12 13 14 15 15 16 18 18 19 21 25 26 26 28 30 29 29 29 28 26 26 26 26 26 28 28
9 4 2 5 11 18 21 22 25 28 28 24 20 19 19 16 16 16 16 14 11 9 9 12 14 13 13 11 7 7 6 6 6 5 5 5 4 3 2 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 1 1 0 6 25 44 59 63 53 38 29 23 17 14 13 14 13 17 19 21 23 25 22 17 13 11 11 12 13 13 13 12 11 12 12 13 13 14 14 17 19 23 27 28 30 31 29 31 30 29 28 27 26 26 26
13 8 6 9 17 23 28 30 31 30 27 21 19 17 16 17 18 17 17 15 11 10 9 10 12 12 12 9 7 6 6 5 5 5 5 5 4 3 2 2 2 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 4 15 34 50 56 49 36 27 20 15 13 11 10 11 12 14 15 16 16 14 13 15 13 12 13 13 13 13 12 11 12 12 13 13 12 13 14 16 21 25 27 30 34 35 34 32 30 29 28 26 25 24
21 12 11 14 20 27 32 34 33 31 29 26 23 18 16 18 18 17 17 15 12 10 10 11 12 13 11 8 6 6 5 5 5 5 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 1 6 22 39 46 43 37 30 18 13 14 12 10 10 11 12 12 13 14 13 14 15 13 12 12 12 13 13 12 12 12 12 12 12 12 13 14 15 17 21 25 27 32 35 37 36 33 31 29 27 23 20
29 18 16 17 22 28 32 34 34 34 33 31 22 19 18 18 18 18 17 15 14 13 12 14 14 13 10 7 6 6 5 5 4 4 4 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 2 12 27 37 41 41 36 19 13 12 10 8 8 9 10 12 12 13 12 13 13 12 11 12 12 12 12 12 12 11 12 12 12 12 12 13 13 11 18 23 26 29 32 34 34 32 30 29 26 21 19
36 27 22 20 22 26 29 32 34 36 34 30 21 20 19 18 17 17 17 17 16 16 15 16 15 14 11 8 6 6 6 5 4 4 3 3 2 1 2 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 0 0 0 0 0 0 0 0 0 0 1 6 16 29 39 43 41 27 18 14 11 8 6 6 7 10 11 11 12 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 16 20 24 27 29 29 27 27 27 28 26 24 24
38 31 27 25 24 25 28 31 35 37 34 27 22 20 19 18 17 17 18 19 19 19 15 15 15 13 11 9 7 6 6 5 4 4 3 3 2 2 2 3 3 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 0 0 0 0 0 0 0 2 7 21 33 42 45 38 27 19 16 11 8 7 7 9 11 12 13 14 14 14 13 13 14 14 14 14 15 15 15 14 14 14 14 14 14 14 16 17 19 21 25 26 26 26 28 29 29 30 30
37 32 30 28 27 27 27 30 33 37 35 29 25 21 18 18 18 19 19 19 20 19 17 17 15 12 10 9 8 6 5 4 4 4 4 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 2 13 23 35 44 48 42 29 19 14 12 11 10 10 11 12 13 14 15 14 14 14 14 15 15 15 16 16 16 15 15 15 16 15 15 17 18 18 18 19 21 22 27 29 30 31 32 32 33
41 33 30 30 30 28 25 24 28 33 36 32 29 23 18 16 17 17 17 17 18 17 17 16 15 13 11 9 9 7 6 5 4 5 4 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 1 5 13 24 37 48 53 44 28 18 15 13 11 11 10 11 13 14 14 14 14 14 15 16 17 17 17 17 17 16 16 16 17 17 19 21 23 21 19 20 22 20 24 27 29 31 33 35 36
47 38 32 30 30 28 23 20 24 30 40 38 33 24 18 16 15 16 17 17 17 17 18 18 17 15 13 11 10 10 10 8 6 6 5 4 5 5 5 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 27 41 52 55 46 30 21 16 13 11 10 10 11 12 13 13 13 15 16 17 17 17 17 18 17 17 17 16 17 18 20 21 21 20 17 19 20 19 19 21 25 31 35 38 41
52 41 33 30 29 27 22 18 23 29 40 40 35 27 21 18 16 16 18 18 18 19 20 20 19 17 16 15 13 12 12 11 8 7 6 5 5 5 5 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 18 29 42 53 56 43 32 25 19 14 11 8 8 7 10 12 13 14 15 16 16 17 17 18 18 18 18 17 16 17 18 18 18 17 15 16 18 18 18 19 24 30 35 40 42
58 45 34 29 29 26 21 18 21 28 34 34 31 27 23 22 22 22 23 22 21 21 21 21 20 19 19 19 18 14 12 12 12 11 9 7 6 5 5 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 17 27 41 53 54 47 37 27 21 17 9 9 8 9 10 11 12 14 15 15 16 17 16 16 17 17 16 16 16 17 16 17 17 16 16 17 18 19 21 23 28 32 35 38
62 50 37 30 29 26 22 19 21 25 27 27 24 22 21 22 23 24 27 27 25 25 25 23 22 22 22 23 23 20 16 14 13 13 12 11 9 6 6 7 6 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 18 31 45 56 59 51 38 28 23 16 12 9 8 8 8 10 13 13 14 15 14 13 13 13 14 14 14 13 14 15 17 17 17 16 16 17 18 20 22 25 27 29 30
63 52 39 32 31 28 24 21 22 22 23 24 22 21 21 21 22 24 26 28 29 29 29 28 26 24 25 26 26 24 21 18 15 13 13 13 12 9 9 11 10 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 1 3 7 13 21 33 45 56 61 52 40 32 25 19 13 10 8 9 9 9 9 10 10 10 10 10 10 11 11 11 12 11 12 14 15 16 16 16 17 18 19 21 22 23 23 25
59 51 44 39 35 28 23 22 23 21 21 23 23 23 24 24 25 28 30 31 32 32 33 33 31 29 29 30 29 29 26 23 20 18 15 14 13 12 12 13 11 7 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 1 4 9 13 19 29 42 55 58 54 46 33 25 19 14 11 10 9 7 8 8 8 8 9 9 9 9 10 9 9 9 10 11 12 14 15 16 17 17 18 19 19 20 20 21
55 53 49 43 34 26 22 26 24 22 22 22 23 24 25 26 27 32 34 35 35 36 36 36 36 36 36 36 36 37 34 29 25 23 21 18 15 15 14 13 11 8 6 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 2 5 9 12 17 26 38 52 60 61 47 31 24 19 17 14 12 9 8 8 8 8 9 9 9 10 10 9 9 10 10 10 10 13 15 16 17 17 17 17 17 18 18 19
50 49 45 38 30 24 22 26 26 24 24 25 25 26 26 27 29 33 36 38 39 40 40 39 39 40 40 40 42 44 43 38 33 28 25 22 19 18 17 15 14 12 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 0 0 0 0 0 0 0 1 4 8 11 15 23 37 51 58 54 43 31 22 21 18 16 13 11 9 8 9 10 8 9 9 9 9 9 9 9 10 10 11 14 16 17 18 18 18 18 18 18 18
43 44 42 35 27 24 23 24 25 25 25 27 28 28 27 28 30 33 39 41 41 42 43 43 41 42 42 42 43 45 47 46 43 40 36 30 25 20 20 19 17 14 12 9 7 5 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 1 4 7 10 14 23 34 43 48 49 43 29 25 22 20 16 12 10 10 8 10 9 10 9 8 8 9 10 10 10 10 10 13 15 17 17 18 19 19 19 18 17
39 42 41 33 25 22 22 23 25 27 28 28 29 30 28 27 31 35 39 42 43 44 45 46 43 44 45 45 45 47 48 48 47 43 41 37 33 27 24 21 16 13 12 11 10 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 1 2 5 9 14 20 29 39 48 51 43 35 29 24 20 16 13 13 9 10 10 12 11 9 9 9 10 10 10 10 10 11 13 15 16 18 18 18 18 18 17
34 36 34 29 22 21 22 24 27 29 30 29 30 28 27 27 30 33 37 40 42 43 46 49 46 46 46 47 48 49 50 50 48 46 45 43 39 33 27 23 18 13 10 9 10 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 1 2 3 6 9 14 20 31 37 45 48 45 39 32 26 22 18 16 14 13 12 14 14 12 11 10 10 10 10 10 10 10 11 12 14 16 17 17 18 17 15
29 28 26 23 21 21 22 25 29 31 31 31 30 28 26 26 27 29 32 36 40 43 46 50 49 48 49 49 49 51 53 54 52 50 50 48 43 35 29 25 20 15 10 8 8 5 3 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 2 3 5 8 13 19 28 39 47 52 50 42 35 29 24 21 19 18 16 16 16 15 14 13 11 11 11 10 10 10 10 10 11 13 15 16 17 16 13
27 24 21 21 20 20 22 26 31 33 34 32 31 29 27 25 24 25 28 33 37 40 42 45 47 49 51 53 53 54 57 58 57 56 55 50 43 35 30 27 22 17 11 8 7 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 4 9 14 20 30 40 47 51 49 44 38 32 27 24 21 19 18 18 17 20 19 17 15 13 12 10 9 10 10 10 11 13 15 15 14 12
23 21 20 19 18 19 22 28 32 35 35 33 32 30 27 25 21 19 23 28 31 32 32 35 41 45 49 53 57 61 64 67 70 67 61 51 43 38 33 29 24 17 12 8 8 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 3 5 8 13 20 28 37 44 47 47 46 43 37 31 28 24 21 19 19 20 20 20 20 18 16 14 12 12 11 11 11 12 15 15 14 12
17 19 22 21 18 18 20 23 26 28 30 31 28 25 21 19 16 15 17 20 23 24 26 29 34 38 42 46 51 56 62 66 69 61 58 52 47 42 37 30 23 14 10 8 8 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 1 2 4 9 13 19 27 36 41 44 46 46 45 42 38 34 30 25 23 21 19 20 20 19 18 18 17 16 15 14 14 14 16 17 16 13
17 19 24 26 22 19 19 21 23 25 27 28 26 23 21 18 15 14 15 16 18 22 26 29 31 32 33 35 39 46 51 52 55 53 53 52 49 44 36 28 21 12 9 9 7 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 2 6 10 14 19 27 34 39 42 45 46 46 44 42 39 35 30 25 22 21 21 19 19 19 18 18 18 18 18 18 19 19 19 17
17 19 24 28 26 24 24 25 26 25 25 26 24 23 23 20 17 15 14 15 18 21 26 29 31 30 28 27 27 30 34 35 36 38 41 42 40 34 27 21 17 13 11 11 9 4 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 1 3 7 12 14 21 27 32 37 42 45 47 47 45 44 42 39 36 32 27 25 22 21 19 19 20 21 20 20 20 21 21 21 20
19 21 24 27 28 28 28 28 27 27 27 26 23 20 20 20 19 17 14 14 17 20 23 26 28 27 26 26 23 24 23 22 23 24 25 24 24 21 17 15 15 14 13 10 8 5 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 1 4 9 12 16 21 27 32 36 40 44 46 48 48 47 45 42 39 37 33 29 26 22 20 20 21 22 22 23 23 23 22 22
23 24 24 26 28 29 29 28 26 25 25 26 23 16 17 20 20 19 17 15 16 18 19 21 23 23 23 21 18 18 17 13 13 12 12 13 15 14 13 12 12 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 16 20 28 32 36 40 44 47 50 50 49 47 45 42 40 37 34 29 25 22 20 21 21 23 24 24 23 22
26 26 24 24 26 27 28 28 27 25 23 27 26 21 17 17 19 20 20 18 17 17 18 18 19 21 21 17 14 13 9 8 6 6 6 7 8 8 9 8 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 1 3 6 9 13 16 24 29 33 36 40 45 49 51 53 51 49 47 45 42 40 36 33 30 21 20 20 21 23 23 22 22
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