Vorticity
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nan 5 4 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 11 11 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 4 1 1 4 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
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nan 7 7 7 7 7 8 9 10 11 10 9 9 9 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 9 8 7 6 5 6 8 8 9 9 9 8 8 7 8 9 9 9 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 6 6 7 7 8 10 13 14 12 9 7 4 3 2 2 4 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 nan
nan 7 7 7 7 7 8 10 11 11 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 8 9 9 9 8 7 6 6 6 7 8 9 9 9 8 7 7 7 8 10 10 8 6 5 4 5 5 5 5 5 6 7 8 9 9 9 8 8 7 7 8 7 7 7 7 7 8 8 7 7 7 8 10 13 16 15 12 8 5 3 1 1 2 4 5 5 6 7 7 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 nan
nan 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 8 9 9 9 8 7 6 6 6 7 8 9 9 9 9 7 6 6 8 9 10 10 8 5 4 4 5 5 5 6 6 7 9 9 8 9 9 8 8 8 7 7 7 7 7 7 9 9 7 7 7 7 8 10 14 15 13 10 6 3 1 1 1 3 4 5 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 nan
nan 7 7 7 7 7 9 10 11 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 8 9 9 9 9 8 7 6 7 7 8 9 10 9 9 8 6 6 6 8 10 11 10 7 4 3 4 5 5 6 6 7 9 9 8 8 8 9 9 8 8 7 7 7 7 7 8 9 8 7 7 7 7 8 9 11 11 10 7 3 0 0 2 3 3 4 5 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 7 7 6 6 7 8 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 9 10 10 10 9 8 7 7 8 9 9 10 9 9 8 6 5 5 7 9 10 11 9 6 3 3 4 5 5 6 7 9 10 9 8 8 9 9 9 8 7 7 7 8 7 7 9 9 8 7 7 8 7 7 8 8 8 8 6 3 1 2 3 4 5 5 6 7 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 7 nan
nan 6 6 6 6 7 8 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 9 10 11 11 10 8 7 7 7 7 8 9 10 10 10 9 8 7 8 9 10 10 9 8 7 6 5 5 6 7 9 11 10 8 5 3 3 4 5 6 7 8 9 9 9 8 8 8 9 9 8 7 7 7 7 7 8 9 9 8 7 8 8 7 7 7 8 7 7 6 5 5 5 5 6 6 6 7 6 6 7 7 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 nan
nan 6 6 6 6 7 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 10 11 11 9 8 7 6 7 8 9 10 10 10 9 8 7 8 9 10 10 10 9 8 7 6 5 5 6 8 10 11 10 7 4 3 3 3 5 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 9 10 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 6 6 6 6 7 7 7 8 8 8 9 8 8 nan
nan 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 10 10 9 7 7 7 8 9 10 10 10 9 8 8 8 9 10 11 11 11 10 9 7 6 5 6 8 10 11 11 9 6 3 2 2 4 6 7 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 9 8 8 9 9 8 8 7 8 8 9 9 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 nan
nan 7 7 8 8 7 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 9 8 8 7 8 8 8 9 8 7 7 7 9 10 10 10 9 8 8 8 8 10 11 11 11 11 10 9 7 6 6 8 9 11 11 9 7 5 3 2 3 4 6 8 9 9 9 8 8 7 7 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 8 7 6 5 6 7 7 8 8 8 9 9 10 9 9 8 9 10 11 12 12 11 10 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 7 8 8 8 8 10 11 10 9 8 7 7 8 8 8 8 7 7 8 9 10 10 9 8 7 7 8 9 10 11 12 11 11 10 8 6 6 7 9 11 11 9 6 5 4 3 3 4 5 8 9 9 9 9 8 7 7 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 5 6 7 8 8 9 8 8 9 9 9 9 8 9 10 13 15 17 16 13 9 5 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 6 6 8 9 9 9 9 7 7 6 6 6 7 7 7 8 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 7 7 7 7 8 10 9 9 8 7 7 8 9 10 11 11 11 10 9 7 6 7 10 12 12 10 6 4 4 3 3 3 5 7 9 9 9 9 8 7 7 7 9 10 9 8 8 8 9 9 9 8 8 8 8 8 8 7 6 5 6 8 9 8 9 8 8 8 8 8 8 8 8 9 11 13 15 16 14 10 4 -0 1 3 5 7 8 9 9 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 7 6 7 7 8 9 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 8 8 8 8 8 9 10 10 10 10 9 9 8 7 8 10 12 14 13 9 4 2 2 2 3 5 7 9 10 9 9 8 8 7 7 8 10 10 9 8 7 8 8 8 8 8 7 8 8 8 7 6 6 6 8 9 9 9 9 8 8 8 8 7 7 7 8 9 10 11 12 11 8 2 -5 -5 -1 4 7 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 8 7 7 8 8 9 9 10 9 8 7 7 7 7 6 7 7 7 8 7 7 8 8 9 9 9 10 10 10 10 9 8 7 6 7 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 9 11 13 14 11 5 1 0 0 2 5 7 9 10 10 9 8 7 7 7 7 8 10 10 10 8 8 7 7 7 7 7 7 8 8 7 7 6 7 8 9 9 9 9 9 8 8 8 7 6 6 7 8 8 8 9 9 7 2 -6 -9 -5 2 6 9 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 7 6 6 6 7 8 8 8 7 8 8 8 8 8 9 10 10 11 10 9 7 7 8 9 9 8 7 7 7 8 9 10 10 10 9 8 8 8 8 9 9 11 12 11 6 1 -1 -1 1 4 8 10 10 10 9 8 7 7 7 7 8 9 9 10 10 9 8 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 7 7 6 7 8 8 8 9 8 4 -2 -7 -5 1 7 10 11 11 10 9 9 9 9 9 9 9 9 9 10 10 nan
nan 9 9 9 9 8 8 7 7 8 9 10 10 9 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 9 9 9 8 7 7 7 7 8 10 10 10 9 9 9 9 9 9 9 9 9 6 2 -0 -0 2 5 8 11 12 10 9 8 7 7 7 7 8 8 8 9 10 10 9 8 7 7 7 7 7 8 8 8 7 7 8 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 6 3 -2 -3 3 10 14 14 13 11 10 9 9 8 8 8 8 9 9 10 10 11 nan
nan 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 7 6 7 7 7 8 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 8 9 10 10 8 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 7 6 3 1 1 3 5 8 11 12 11 9 8 7 7 7 7 7 8 8 9 9 10 9 8 7 7 6 7 7 8 8 8 8 8 9 9 10 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 8 7 6 4 3 7 14 18 18 16 13 11 10 8 7 7 7 7 8 9 10 11 12 13 nan
nan 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 9 10 10 8 6 6 7 8 8 8 8 9 10 10 10 9 8 7 7 6 5 3 3 4 5 8 10 11 11 10 8 7 8 8 8 7 7 7 8 9 10 9 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 14 18 19 17 14 12 11 8 6 5 5 6 7 8 9 10 12 13 14 nan
nan 9 9 9 9 9 8 9 9 9 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 7 8 7 7 8 9 10 10 9 8 6 6 7 9 8 8 8 8 8 8 9 9 8 7 6 5 4 4 4 6 8 9 10 10 9 8 7 8 8 8 8 8 8 8 9 9 9 8 7 6 7 7 7 7 8 9 9 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 13 14 13 12 11 10 8 5 3 3 4 6 8 9 10 11 12 14 15 nan
nan 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 7 7 8 9 10 10 9 8 7 7 8 9 9 9 8 8 7 7 7 8 8 7 6 5 5 5 6 7 9 9 9 8 6 6 7 8 9 9 9 9 8 8 9 9 9 7 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 7 5 2 -0 1 4 7 8 10 10 11 12 12 13 nan
nan 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 9 8 8 8 8 9 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 7 7 6 6 6 6 6 8 9 9 8 6 5 6 8 9 9 9 9 9 8 8 9 9 8 7 8 8 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 8 8 8 8 8 8 7 7 8 9 8 8 7 6 5 4 3 2 -1 -4 -5 -0 4 7 9 10 10 10 9 9 9 nan
nan 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 8 9 9 9 8 8 8 8 8 8 9 10 9 9 8 7 6 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 6 6 7 9 9 9 9 9 8 8 8 9 8 7 7 8 8 8 7 6 6 7 7 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 6 4 1 -1 -3 -4 -6 -10 -6 -0 4 8 9 10 9 8 6 6 5 nan
nan 8 8 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 8 8 7 7 8 9 9 9 9 8 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 8 7 7 8 8 8 7 7 8 8 8 8 7 8 9 9 9 9 9 8 8 8 9 8 8 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 5 3 1 -1 -1 -2 -5 -5 -2 3 6 8 9 9 8 6 5 5 5 nan
nan 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 6 6 7 8 9 8 6 6 7 8 9 8 8 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 7 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 7 6 6 6 6 7 4 2 2 3 4 6 8 8 7 6 6 6 6 6 nan
nan 8 8 8 8 8 9 9 8 8 9 9 10 10 8 7 6 6 7 8 9 8 6 6 7 7 8 8 8 8 9 10 9 8 7 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 7 8 8 8 9 9 9 10 10 9 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 9 9 9 9 8 8 8 8 8 9 10 11 11 7 4 2 2 4 6 8 8 7 6 6 7 7 7 nan
nan 9 8 8 8 8 9 9 8 8 9 9 10 9 8 7 6 6 6 8 8 8 7 7 7 7 8 9 9 10 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 9 8 7 8 8 7 6 5 5 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 9 9 9 10 10 8 3 -1 -2 0 4 7 8 7 7 6 6 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
96 94 102 101 92 83 72 73 65 55 47 42 39 35 33 31 33 42 59 76 86 93 80 57 44 40 38 37 29 21 20 20 20 20 19 19 20 19 19 24 34 39 30 27 27 28 30 32 34 35 34 33 33 35 36 43 42 39 36 36 48 63 54 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 1 0 1 2 3 2 2 2 1 1 1 1 1 5 7 10 12 12 10 8 7 8 7 5 4 3 3 3 3 4 4 6 8 10 14 18 20 21 23 30 32 33 36 39 42 44 44 41 39 40
126 127 120 111 111 105 95 84 73 62 52 46 42 39 35 32 39 54 77 93 101 92 70 52 41 29 21 20 18 14 14 14 16 16 17 18 19 20 20 27 36 43 29 25 25 26 27 30 32 34 34 33 34 32 33 36 40 46 63 81 91 89 47 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 4 0 0 2 5 5 3 1 0 1 1 1 1 2 4 5 9 11 12 11 9 7 8 8 6 5 5 5 5 5 4 5 6 8 10 12 13 16 19 21 25 28 35 41 40 42 43 41 41 40 41
129 140 158 136 131 130 114 97 82 69 59 53 50 45 38 46 54 67 85 96 92 72 55 49 44 28 17 16 17 14 15 15 15 15 15 15 17 20 20 21 28 35 29 27 29 28 27 28 30 31 30 28 28 26 27 28 32 45 81 112 101 88 38 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 0 0 1 4 5 4 3 2 1 2 2 3 3 5 5 9 11 12 10 8 8 9 9 8 7 7 6 5 5 5 5 6 8 9 11 11 12 14 18 21 25 32 39 41 45 45 38 47 49 46
174 186 177 160 152 140 127 117 99 82 71 65 61 56 48 57 65 70 78 80 67 57 54 51 48 28 15 16 20 21 21 21 21 18 14 14 16 18 20 21 23 26 26 28 29 27 26 27 30 30 30 30 28 27 26 25 27 36 63 96 84 70 38 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 0 0 1 2 4 5 6 6 5 3 5 7 7 6 8 10 11 12 12 11 10 10 10 11 10 10 9 7 6 5 5 5 7 8 10 10 10 11 13 16 21 25 30 38 50 50 44 47 48 50
183 189 192 185 191 173 147 134 116 97 86 81 76 68 61 58 55 62 67 67 64 63 63 59 56 34 20 19 22 29 33 34 33 29 22 18 19 19 20 25 25 25 24 24 24 24 25 27 29 31 32 31 30 29 28 27 27 31 44 71 68 41 28 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 4 0 0 1 2 4 5 5 6 7 7 8 7 6 7 8 9 9 9 8 7 9 11 11 12 12 11 10 9 7 5 4 3 6 7 9 10 10 10 10 12 14 19 26 31 48 59 56 51 49 51
286 269 252 236 241 214 178 153 132 115 109 104 95 84 83 86 87 83 79 72 75 81 75 65 66 63 50 44 36 36 40 43 42 38 30 23 25 26 26 24 22 22 21 22 23 23 24 25 27 30 32 33 32 31 32 32 30 30 38 56 48 29 20 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 3 0 0 1 2 3 4 4 5 5 5 6 5 4 6 7 6 7 7 7 9 8 10 10 11 11 11 12 11 9 6 4 3 4 6 7 8 9 10 10 11 10 11 20 26 39 50 56 57 55 57
452 376 330 307 286 243 206 177 148 130 127 129 117 107 117 134 142 102 88 97 97 95 95 87 92 99 100 93 78 69 65 62 57 50 47 46 42 38 33 25 21 19 19 20 21 22 22 23 27 30 32 33 32 32 33 34 31 30 37 58 37 24 17 14 11 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 1 1 3 3 4 5 6 5 4 5 6 5 6 7 8 8 8 8 9 9 10 10 11 11 12 12 8 4 3 3 4 6 8 9 9 10 11 10 10 15 22 32 44 55 63 67 70
553 474 427 378 318 250 200 164 136 119 119 126 116 119 133 137 133 119 112 111 113 115 111 105 115 132 148 147 138 129 121 111 95 80 66 65 64 61 58 47 34 23 19 18 19 20 20 21 24 27 29 30 30 31 33 33 33 42 40 52 33 24 19 16 12 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 1 2 2 3 6 8 7 7 8 7 7 5 5 7 7 6 6 7 7 7 6 5 8 10 11 8 5 4 4 4 5 7 8 9 11 10 10 10 11 17 27 40 57 75 85 83
533 485 454 391 309 223 154 110 92 93 99 108 132 124 134 129 120 120 124 123 118 111 118 123 146 186 191 191 193 190 179 164 150 140 107 93 85 85 81 67 46 29 21 17 15 17 16 18 20 21 22 23 26 29 30 30 38 75 64 51 38 28 21 17 14 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 2 2 3 5 8 9 9 8 8 6 5 5 5 4 4 4 5 5 4 3 4 8 10 8 6 5 5 5 4 6 5 7 8 9 10 11 12 14 20 34 60 91 119 114
511 498 432 335 243 161 102 72 64 71 81 90 126 136 147 148 145 149 156 156 148 139 168 178 202 238 237 228 231 233 230 228 214 184 150 116 105 104 102 88 65 46 32 21 13 13 11 12 12 13 14 17 20 26 28 31 42 80 74 57 58 42 20 16 12 10 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 2 2 4 6 8 9 9 8 8 7 5 4 4 4 4 5 6 6 6 5 6 8 9 9 9 7 6 6 3 5 6 6 7 8 9 10 10 13 17 27 52 87 134 162
353 312 262 209 156 111 81 67 63 66 77 90 116 150 171 182 189 189 186 190 207 225 231 233 240 260 268 261 252 247 249 254 235 206 178 148 129 122 122 114 102 92 65 38 20 11 9 9 10 11 12 13 14 19 23 30 44 64 69 55 55 44 16 11 9 7 4 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 5 7 8 9 9 9 9 9 6 5 5 6 6 7 7 8 8 8 8 9 11 12 13 11 8 8 5 5 6 7 8 9 9 9 9 11 16 21 35 63 104 150
216 197 167 140 116 97 85 80 80 87 110 130 154 186 191 188 185 179 175 174 191 212 235 231 227 233 245 241 228 233 243 239 219 204 187 160 129 127 138 141 138 137 105 56 29 16 10 8 8 7 7 9 8 10 15 23 33 40 47 45 39 27 11 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 1 2 4 5 6 7 8 8 9 9 9 9 7 5 6 7 7 7 7 8 9 9 9 10 11 12 14 16 14 12 9 8 8 8 9 9 9 9 9 9 14 17 23 39 66 106
169 164 148 136 126 115 108 109 116 131 166 183 188 185 172 158 145 131 123 122 120 119 130 148 157 163 171 169 167 182 190 183 177 167 166 168 164 151 146 147 146 166 157 91 47 29 17 9 6 6 6 7 8 9 16 16 17 20 29 36 31 21 13 5 3 3 2 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 5 6 7 8 8 9 9 8 7 6 6 7 7 8 8 7 8 9 9 9 10 11 12 12 16 17 15 12 10 7 6 8 9 10 11 11 9 12 15 20 28 40 61
185 187 189 190 179 153 132 135 153 167 190 188 186 169 150 135 121 106 94 86 80 73 67 72 79 86 88 90 100 113 122 117 142 152 154 146 159 178 185 192 194 213 241 195 135 92 56 26 9 4 5 7 11 11 23 14 8 10 17 23 21 13 4 0 0 1 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 5 6 6 7 7 8 9 9 8 8 7 7 8 10 9 9 10 10 10 10 10 10 11 12 12 14 16 16 17 15 11 7 7 8 9 13 15 13 12 15 19 25 31 40
238 255 276 287 259 199 143 138 153 167 184 181 183 169 145 128 115 102 95 90 85 80 73 67 65 66 67 68 75 85 100 103 137 177 194 202 214 233 253 257 246 241 302 300 264 213 150 89 43 17 4 3 6 8 11 7 3 3 5 9 9 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 6 7 8 8 8 9 10 10 10 11 11 10 11 13 14 13 15 15 15 14 14 13 12 12 12 13 13 14 17 19 21 16 10 8 7 8 12 15 14 15 16 18 23 34 45
273 339 378 338 268 212 145 138 148 171 189 191 182 161 141 129 120 106 101 99 96 93 89 87 86 86 87 89 95 103 115 126 165 214 257 295 326 350 366 363 335 312 348 372 377 347 287 210 120 63 35 16 7 5 2 1 0 0 1 1 2 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 9 9 10 11 12 12 14 15 16 16 17 16 16 17 15 17 21 23 20 19 18 18 19 18 15 14 13 13 14 16 19 22 22 14 10 8 8 9 11 13 15 18 19 21 29 40
368 441 352 193 139 161 169 189 204 221 219 208 185 163 148 135 127 117 113 111 112 111 108 108 110 112 113 112 116 120 136 163 209 268 333 391 437 474 464 437 390 383 402 429 452 445 402 337 225 145 105 63 35 18 9 3 0 0 0 0 0 0 1 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 7 10 12 13 14 15 15 15 17 21 22 23 24 27 28 30 27 27 34 43 42 28 22 20 20 22 23 21 18 15 14 15 15 16 19 23 17 14 12 11 9 7 10 13 16 19 20 23 31
422 359 180 34 38 110 204 267 294 294 250 223 196 169 154 142 132 123 126 135 143 150 153 151 148 146 144 143 146 147 164 203 258 310 373 439 469 487 460 426 381 383 398 402 405 399 383 372 301 225 165 112 66 38 24 12 3 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 15 17 19 24 26 24 27 32 34 35 39 40 48 55 56 56 64 68 71 71 58 51 36 24 21 23 24 22 20 20 17 16 14 16 17 16 16 16 15 13 10 9 10 12 15 19 21 27
292 184 92 39 40 99 212 313 377 340 272 231 201 172 156 157 157 159 171 186 204 220 229 226 215 203 194 193 195 194 201 219 239 260 305 367 388 397 409 390 361 340 326 307 286 279 286 306 295 258 207 148 88 51 33 20 11 4 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 14 18 22 24 31 39 42 44 49 54 57 59 61 62 69 76 80 83 88 93 96 98 101 109 82 56 36 29 27 24 31 49 24 20 17 15 13 15 21 24 30 28 13 10 8 10 13 15 18 20
169 124 88 60 57 105 228 343 419 379 321 269 220 190 191 209 224 236 260 288 316 339 349 344 325 302 282 269 266 263 264 269 259 240 245 282 318 356 358 332 320 299 273 239 204 190 200 222 233 222 188 147 96 54 34 23 16 4 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 17 22 26 30 39 48 53 57 60 63 67 69 73 82 89 91 96 105 117 126 130 128 127 132 111 93 81 68 50 29 33 49 34 32 22 14 12 17 25 26 38 31 18 13 11 11 12 13 14 17
152 121 94 75 67 88 162 182 203 248 286 279 238 222 272 319 344 315 349 375 395 418 439 443 429 417 405 393 378 364 356 356 349 325 301 299 318 345 310 262 243 235 217 186 151 130 134 136 162 176 180 145 91 52 34 25 12 4 3 2 1 1 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 13 19 24 27 31 35 46 55 61 65 71 75 79 85 93 102 111 116 123 134 142 149 169 165 165 153 135 123 117 115 101 62 47 41 43 49 35 18 17 17 19 18 22 19 16 17 16 14 12 12 12 16
107 90 77 60 41 35 60 57 51 85 137 173 197 243 293 295 286 245 249 260 281 307 330 353 382 399 437 475 481 467 449 442 438 421 394 382 362 308 279 217 158 127 116 108 92 76 81 85 111 134 134 109 74 48 30 21 9 5 4 3 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 13 18 23 27 31 35 41 52 62 68 74 81 87 93 107 114 121 128 135 147 164 169 172 200 210 229 240 219 173 148 160 171 128 94 71 60 62 60 46 35 31 27 18 15 27 30 27 28 15 12 10 11 14
50 42 34 20 8 2 19 27 16 14 25 43 59 64 67 63 75 57 42 55 81 102 116 135 172 219 315 398 463 504 513 508 504 488 473 445 391 330 254 170 101 60 42 39 41 36 37 48 66 80 85 74 56 40 20 13 10 7 5 4 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 16 19 24 28 33 38 44 51 61 71 77 83 90 96 102 118 128 138 149 160 179 213 208 232 252 278 304 343 353 276 231 213 216 181 147 125 103 83 72 64 62 56 54 34 22 23 32 50 69 30 33 26 21 17
12 10 7 4 3 3 5 5 3 7 9 6 8 8 8 7 4 4 3 2 5 11 19 24 32 80 172 282 404 493 527 536 552 539 511 470 394 303 207 126 71 37 18 13 17 16 18 25 33 42 52 56 49 33 18 14 11 9 6 4 3 4 4 3 3 1 0 0 0 0 0 0 0 0 0 1 2 5 9 14 19 23 28 30 34 38 45 54 64 73 80 86 93 101 107 114 128 144 160 177 191 214 250 270 303 345 377 386 405 444 390 336 299 269 233 212 200 176 138 104 82 76 72 75 65 55 44 30 42 104 68 67 61 57 38
0 0 0 0 5 6 1 0 31 56 44 15 3 2 2 2 2 2 2 2 2 3 9 17 21 35 81 176 332 485 553 543 543 540 515 448 351 238 147 89 55 31 15 10 10 10 10 12 17 26 41 53 41 26 20 16 12 10 8 6 4 4 3 2 1 0 0 1 0 0 0 0 0 0 1 2 5 9 15 21 26 31 34 39 43 47 52 60 72 83 89 97 107 115 124 135 148 165 184 206 224 253 292 331 380 436 478 488 489 512 475 420 386 351 309 286 280 255 202 165 132 111 104 95 85 92 110 72 57 79 85 86 85 85 80
11 17 16 15 21 10 4 8 42 72 62 25 2 2 2 2 1 1 1 1 1 2 6 11 15 30 83 184 329 472 554 564 554 542 477 351 248 170 112 73 47 29 14 11 10 10 10 7 8 16 24 24 21 21 21 19 17 14 13 10 6 4 3 1 0 0 1 1 0 0 0 0 0 0 3 7 11 16 22 29 34 39 42 47 51 55 59 65 75 88 99 110 119 132 145 158 170 186 205 230 256 290 331 379 436 502 566 596 603 613 589 549 520 467 401 366 365 343 275 236 205 196 190 151 103 128 216 145 100 88 88 94 98 94 93
44 51 40 35 30 18 9 8 14 20 20 10 1 1 1 1 2 1 1 1 1 1 2 4 22 89 181 281 386 481 540 547 520 476 374 229 154 117 86 62 42 26 16 13 11 10 10 10 9 10 13 15 16 16 17 16 15 14 13 12 9 6 6 3 2 2 1 1 0 0 0 0 0 0 6 14 21 25 31 38 44 50 53 57 60 62 65 72 80 89 107 120 129 138 153 171 184 202 221 246 275 312 355 406 464 535 622 669 677 662 646 637 619 579 520 465 469 438 368 315 295 312 318 244 141 135 185 168 131 108 100 100 98 89 90
59 59 48 45 36 23 11 6 3 1 2 2 0 0 0 7 8 4 1 1 1 3 17 75 150 216 267 328 409 474 466 367 254 142 113 105 92 74 56 42 28 18 14 13 11 10 10 10 9 8 7 8 9 10 11 10 10 10 9 9 7 9 9 6 5 4 2 2 0 0 0 0 0 4 13 24 33 39 45 51 57 62 67 71 72 72 75 80 87 97 115 128 135 142 155 179 196 215 233 257 280 314 359 402 444 511 603 669 700 688 657 624 605 601 593 549 559 527 478 430 385 372 404 343 236 188 179 173 153 131 123 117 105 95 81
53 56 54 50 43 29 14 7 3 0 0 1 0 14 11 15 13 7 1 0 0 5 70 156 201 198 197 222 265 298 262 119 60 49 47 44 38 29 22 19 14 11 10 10 10 9 9 8 7 5 5 5 5 4 5 6 6 6 6 5 3 0 4 5 3 2 1 2 0 2 3 2 2 6 15 30 50 58 63 66 70 73 78 82 82 80 82 87 97 110 124 134 140 147 159 183 208 227 245 268 289 307 324 342 365 400 492 597 656 648 603 563 539 528 553 567 586 596 601 585 513 430 455 429 369 307 253 214 185 158 147 141 125 111 98
63 66 66 60 51 36 17 8 5 1 1 5 6 21 22 10 4 7 6 0 0 1 94 129 119 104 98 99 96 80 46 16 7 6 5 6 7 6 5 8 8 9 9 10 9 9 8 6 4 2 2 2 1 1 1 2 3 4 4 4 2 4 5 4 3 4 2 3 2 4 2 1 1 5 14 29 60 72 77 77 79 81 84 88 86 84 87 94 108 123 134 140 144 150 158 179 212 236 251 274 303 323 321 307 289 285 364 470 530 530 502 476 476 478 508 537 566 606 626 606 600 535 513 502 488 439 368 299 240 188 167 186 171 150 135
79 79 78 72 62 44 25 13 8 4 6 8 11 21 20 15 10 8 4 1 2 10 60 87 84 73 66 58 42 32 13 5 3 4 4 4 3 2 0 3 5 8 10 9 8 6 5 3 1 0 0 0 0 0 0 0 1 1 2 3 4 3 3 3 4 7 5 6 5 5 3 2 1 5 14 24 54 82 90 86 84 85 86 93 88 86 89 97 105 115 128 137 144 149 156 174 209 237 253 276 318 357 342 313 287 273 306 353 388 413 428 456 454 449 456 491 525 558 599 594 622 620 599 587 568 532 491 435 341 257 242 263 250 213 174
99 93 87 79 65 50 35 24 17 12 11 13 10 13 15 17 18 16 15 16 22 35 55 72 73 62 51 40 24 14 7 5 5 4 4 4 4 2 0 2 3 5 5 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 6 6 6 5 4 4 3 3 4 6 10 17 39 74 86 84 80 75 73 82 79 79 82 88 92 98 109 120 129 156 170 185 211 238 257 276 320 398 363 334 350 374 379 364 362 400 414 444 458 435 413 427 464 496 538 580 620 636 638 620 582 552 558 563 458 356 337 343 331 292 244
117 102 92 82 67 53 44 38 34 32 32 32 22 15 14 21 33 42 50 57 60 61 62 59 51 38 26 20 15 10 9 6 5 5 4 4 4 3 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 6 3 2 1 1 1 1 2 3 3 7 16 43 55 57 60 51 40 42 48 54 63 73 82 91 99 108 120 160 178 190 211 239 264 278 299 381 394 418 458 504 529 522 546 577 593 563 505 455 421 403 420 451 477 493 522 542 553 548 532 540 570 590 533 444 397 389 386 364 340
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