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