Vorticity
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nan 7 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 8 9 10 10 9 7 6 6 6 7 8 9 9 9 9 8 7 7 8 9 9 9 8 6 5 4 5 6 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 5 2 1 -1 -1 -1 -0 1 2 2 3 4 5 6 7 8 9 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 14 nan
nan 7 7 7 7 7 8 9 10 10 10 9 8 8 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 9 9 10 9 8 7 6 6 6 8 9 9 9 9 8 7 6 7 9 10 10 8 7 5 4 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 8 9 8 5 1 -0 -1 1 1 1 2 2 3 4 5 5 6 7 7 7 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 10 nan
nan 6 7 7 7 8 8 10 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 10 9 8 7 6 6 6 7 9 9 9 9 8 7 6 6 8 10 10 9 7 5 4 5 6 7 7 8 8 8 8 8 7 7 7 7 6 7 8 8 9 8 8 7 8 8 8 8 8 7 7 8 9 9 6 2 -1 -1 2 3 2 3 3 4 5 7 7 7 7 7 7 7 7 6 5 5 4 4 3 4 4 5 5 6 6 7 7 7 nan
nan 6 6 7 7 7 8 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 7 8 8 8 8 8 8 7 6 5 5 6 6 7 8 9 10 10 9 8 7 7 7 7 9 9 10 9 8 7 6 6 7 9 10 10 8 5 4 4 6 7 7 7 8 8 9 9 7 7 7 7 6 6 7 8 9 9 8 7 8 9 8 8 8 8 8 7 7 8 8 6 3 -1 -2 1 3 3 3 4 5 7 7 8 8 8 8 8 7 6 5 4 3 3 3 3 4 5 5 6 6 6 6 6 7 nan
nan 6 6 6 6 7 8 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 9 10 11 10 9 8 7 7 8 9 9 9 9 8 7 6 5 6 8 9 10 9 7 4 4 5 6 7 7 7 8 8 9 8 7 7 7 7 6 7 7 8 9 9 8 7 8 8 8 8 9 8 7 7 7 8 8 6 3 -0 -0 1 3 3 3 4 5 6 7 8 8 9 9 8 8 6 5 4 4 4 5 5 6 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 7 8 10 10 10 9 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 8 9 10 10 11 10 8 6 6 6 7 8 9 10 11 10 9 8 7 8 9 10 10 9 8 7 6 5 5 7 8 10 10 8 5 3 4 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 7 8 8 8 8 8 8 8 7 6 7 7 7 7 5 4 3 3 2 2 3 4 5 5 6 7 8 8 8 8 7 6 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 8 9 9 10 9 9 8 8 8 7 7 7 7 7 7 7 8 7 7 8 8 9 9 8 8 8 8 9 10 11 11 9 8 6 6 6 7 9 10 11 10 9 8 8 8 9 10 11 10 9 8 6 5 5 6 7 9 9 9 7 4 3 3 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 4 2 2 3 4 4 4 5 6 7 7 7 7 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 6 7 8 8 9 9 9 9 8 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 8 7 7 7 7 8 9 10 10 10 8 8 8 9 10 11 11 11 10 8 7 6 6 7 8 9 9 9 6 4 3 3 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 6 5 4 3 3 3 4 5 6 7 7 7 5 4 3 3 4 6 7 7 7 7 7 7 7 8 8 8 9 9 nan
nan 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 7 8 8 8 8 9 10 9 8 7 7 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 10 11 12 12 11 10 8 7 7 8 9 9 9 9 8 5 3 3 4 5 7 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 6 7 7 7 7 7 7 8 9 9 8 8 7 7 5 4 3 4 6 8 9 9 7 5 3 2 3 5 6 7 7 7 7 7 7 7 8 8 9 10 11 nan
nan 8 8 7 7 7 7 7 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 10 10 9 8 7 7 8 9 10 11 12 11 11 10 8 7 7 9 10 11 9 8 6 4 3 3 5 6 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 7 6 6 7 7 7 7 8 8 9 9 8 8 8 8 8 7 5 5 6 8 11 12 10 6 3 -0 1 4 6 7 7 7 7 6 7 7 7 8 9 10 11 13 nan
nan 9 9 8 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 9 9 8 7 7 7 8 9 10 11 11 10 10 9 8 8 9 11 13 12 9 5 4 3 3 4 5 7 9 10 9 8 8 7 7 6 7 8 9 8 8 8 8 8 8 7 7 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 12 12 9 3 -3 -5 -1 4 6 7 7 7 6 7 7 7 8 9 10 11 13 15 nan
nan 9 9 9 8 6 6 7 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 7 7 7 7 9 10 10 10 10 9 9 8 8 9 12 14 15 13 7 2 1 1 2 5 7 9 10 10 9 8 7 7 6 6 8 9 9 8 7 7 7 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 8 4 -4 -10 -8 -0 4 7 7 7 6 6 7 7 8 9 10 12 14 15 16 nan
nan 9 9 9 8 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 9 9 10 11 11 10 9 8 7 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 8 8 10 13 15 15 10 4 -0 -1 1 3 7 9 10 10 9 8 7 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 5 -1 -9 -11 -5 2 6 8 8 7 6 7 7 8 8 10 12 14 16 16 15 nan
nan 9 9 9 9 8 8 7 7 7 9 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 8 9 9 8 7 7 6 7 8 10 10 10 9 8 8 8 9 9 10 12 13 11 5 -0 -2 -1 2 6 9 11 11 10 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 7 7 7 7 7 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 2 -4 -9 -6 2 7 9 9 8 7 7 7 7 8 9 10 13 15 16 14 12 nan
nan 9 9 9 9 9 8 7 7 7 9 11 11 10 8 7 7 6 7 7 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 9 8 8 9 10 10 9 8 7 6 6 8 9 10 10 9 9 9 9 9 10 10 10 9 6 1 -1 -1 2 6 10 12 12 11 8 7 7 6 7 7 7 8 8 9 10 10 9 8 7 6 6 7 7 8 7 7 8 8 8 9 9 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 5 1 -4 -4 3 10 12 11 9 9 8 7 7 7 7 8 11 13 14 13 10 7 nan
nan 9 9 9 9 9 8 8 8 8 9 11 11 10 9 8 7 6 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 8 8 8 9 10 10 9 8 7 6 6 7 8 9 10 9 9 10 10 9 9 9 8 6 3 1 0 3 6 9 12 13 12 9 7 6 7 7 7 7 7 8 8 9 9 9 8 8 7 6 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 5 3 1 5 12 15 14 11 9 9 8 6 5 5 5 7 10 12 11 8 5 3 nan
nan 9 9 9 9 8 8 8 8 9 10 10 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 8 8 9 10 10 9 8 7 7 8 8 8 8 9 9 9 9 9 9 8 7 6 4 2 2 3 6 8 10 12 12 10 7 6 7 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 7 7 7 7 7 11 15 16 13 11 9 8 6 4 3 3 4 7 9 9 8 5 2 -0 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 9 9 8 7 8 9 9 9 8 8 7 7 8 8 8 8 6 5 4 4 4 6 8 10 10 10 9 7 7 7 8 9 9 8 7 7 8 9 9 8 7 7 7 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 7 7 9 8 9 11 12 12 10 9 8 6 3 1 1 2 4 6 8 7 6 2 -0 -1 nan
nan 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 10 9 9 9 8 8 7 8 9 10 10 9 8 7 6 7 7 8 7 6 5 5 5 6 8 9 10 9 8 6 6 7 8 9 9 9 9 8 8 8 9 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 6 3 0 -1 -0 2 4 6 7 7 4 1 -0 -0 nan
nan 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 8 8 8 8 7 8 8 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 9 9 10 10 9 9 8 7 7 7 8 7 7 7 6 6 6 7 8 9 9 8 7 6 6 8 10 10 9 9 8 7 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 8 7 6 5 4 2 -1 -5 -5 -1 2 4 6 7 6 5 2 1 1 nan
nan 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 9 8 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 9 10 9 9 8 8 7 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 7 7 7 8 7 8 9 9 8 8 8 7 7 6 6 7 7 7 8 8 8 9 9 8 7 4 2 0 -1 -2 -6 -9 -7 -2 1 4 5 7 7 6 5 4 3 nan
nan 8 8 9 9 9 9 9 9 9 10 10 10 8 8 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 7 8 9 9 9 9 9 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 7 6 6 7 7 8 8 8 8 8 9 9 8 5 3 1 0 -1 -2 -5 -5 -2 0 2 4 5 7 8 8 7 7 6 nan
nan 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 8 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 7 8 8 8 7 7 6 7 7 7 7 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 8 9 9 8 8 9 9 9 9 8 6 6 5 5 5 3 1 1 1 2 3 4 6 7 9 10 10 10 9 nan
nan 9 9 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 8 7 6 6 6 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 6 7 7 8 9 10 9 9 9 9 9 9 8 8 8 8 9 9 8 5 2 0 0 2 3 4 6 7 9 11 12 12 10 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 6 1 -3 -4 -1 2 4 5 6 7 9 11 11 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
140 145 142 130 130 115 77 69 56 44 37 33 30 27 24 22 19 14 12 11 9 5 2 4 11 16 12 8 8 7 8 9 9 10 10 10 10 10 12 13 13 13 13 14 14 13 11 10 9 9 9 8 6 6 9 8 6 5 7 14 23 31 31 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 0 0 0 2 5 8 18 39 74 99 102 88 61 32 13 1 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 6 12 21 35 42 48 52 44 29 22 20 22
149 142 138 128 135 132 96 77 62 49 40 34 30 27 25 23 20 12 7 4 2 4 5 5 7 10 9 6 5 5 6 7 7 8 9 9 9 10 12 13 13 14 13 15 15 13 11 10 10 11 11 9 7 7 9 8 7 6 11 23 35 40 30 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 3 6 12 31 67 109 131 115 79 43 18 5 1 0 0 0 0 1 2 1 1 1 1 3 3 4 5 5 5 5 5 4 6 7 7 10 16 28 37 43 46 40 32 23 18 18
182 148 124 124 136 133 108 85 66 53 43 37 32 29 26 24 19 7 2 1 2 3 4 5 5 4 4 4 3 4 4 5 5 6 7 7 7 8 10 10 12 12 12 12 12 11 10 11 11 12 13 11 9 8 8 8 7 7 11 23 35 41 21 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 2 4 8 22 51 87 108 100 72 42 20 7 1 0 0 0 0 1 2 1 1 1 2 4 4 5 6 6 6 7 7 7 7 8 7 8 12 18 25 29 33 33 31 26 21 18
223 169 128 125 142 139 114 90 71 57 48 41 36 32 31 32 27 18 9 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 8 8 8 7 7 8 9 10 10 12 12 11 11 10 10 9 8 7 10 20 31 39 19 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 2 5 11 22 38 46 46 33 21 11 6 2 0 0 0 0 1 2 2 2 1 1 2 4 5 6 7 6 8 8 7 6 7 6 7 10 13 18 27 32 27 26 25 20 17
206 158 130 135 152 148 128 104 82 66 55 46 41 40 41 45 52 52 41 18 6 5 4 4 4 3 3 4 4 4 3 3 3 4 4 5 5 5 5 4 3 4 5 5 5 6 7 8 9 9 8 8 9 10 10 9 8 11 15 23 26 18 16 8 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 2 4 6 11 14 14 10 7 5 4 2 1 1 1 1 1 1 2 2 2 2 2 3 5 5 6 6 7 8 8 8 8 8 8 9 11 16 25 24 18 18 19 18 18
231 180 157 167 171 142 135 122 101 82 68 59 55 55 56 62 67 73 66 36 13 9 6 5 5 4 4 4 4 5 4 3 3 3 4 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 5 6 5 7 7 6 8 14 20 26 20 8 6 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 2 1 3 6 7 6 4 3 2 2 1 1 1 1 1 1 1 2 2 2 2 1 3 4 5 6 6 8 9 9 10 9 10 10 9 20 23 21 18 16 16 16 18
351 286 244 238 213 150 133 135 126 112 98 89 85 74 67 82 80 74 54 34 24 16 10 10 9 7 7 7 6 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 8 14 21 31 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 1 2 2 2 6 6 4 3 2 1 1 0 0 0 1 1 1 1 1 1 2 3 2 2 3 5 6 7 7 7 9 10 10 10 10 10 24 30 29 28 25 19 21 27
521 497 409 344 260 167 126 128 136 138 130 111 102 103 76 81 88 84 63 42 30 23 18 20 19 14 14 16 14 10 6 3 3 3 2 3 5 4 5 5 5 5 5 5 5 5 5 6 4 5 5 5 5 5 6 7 9 16 22 40 30 15 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 1 2 3 3 5 5 3 2 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 4 6 7 7 7 8 10 10 10 10 10 15 25 34 38 35 30 33 43
508 529 486 367 234 132 84 79 94 116 129 120 113 116 91 80 85 99 98 74 44 38 35 32 28 24 21 24 26 22 15 7 2 2 2 3 3 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 6 8 10 19 24 44 42 24 9 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 1 2 3 3 4 5 4 2 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 5 6 6 7 7 8 9 10 12 12 18 25 24 32 39 43 44 50
232 243 242 192 121 65 41 37 47 71 93 102 98 107 104 98 94 92 95 87 50 44 43 42 37 33 26 27 32 33 24 11 3 2 2 1 2 3 5 5 5 5 6 6 5 6 5 5 5 5 4 4 5 5 6 9 13 21 25 38 48 34 13 8 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 1 2 2 2 3 5 6 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 3 4 7 7 7 7 11 17 21 22 23 25 19 26 43 43 45 49
73 67 55 47 38 26 20 24 35 51 67 84 87 96 100 97 100 95 85 84 66 63 56 52 47 38 30 28 33 37 34 24 9 3 1 2 3 4 4 4 4 5 5 5 4 5 6 6 6 5 5 4 5 5 7 10 16 23 28 34 56 55 24 13 9 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 1 2 2 2 1 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 5 6 5 7 13 19 26 30 31 32 28 29 42 51 57 58
61 46 35 30 28 24 21 25 35 48 65 87 100 106 106 95 91 91 83 80 75 70 62 58 54 44 40 38 33 31 29 27 14 5 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 7 8 11 17 26 34 38 44 40 20 15 12 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 2 2 3 3 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4 5 7 9 17 29 34 35 35 35 35 43 56 65 65
90 80 69 61 55 50 45 44 50 60 75 98 118 121 125 119 108 102 99 95 87 76 67 61 58 51 48 45 38 31 22 13 12 10 10 5 1 1 2 3 4 4 4 4 4 5 5 4 4 5 6 5 7 8 11 13 18 24 33 43 47 38 20 17 12 8 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 3 2 3 4 6 5 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 4 3 5 7 11 17 30 37 39 38 37 39 45 54 65 80
134 133 127 123 115 96 78 74 73 79 89 106 126 133 139 142 139 132 121 107 94 78 68 61 57 53 46 41 39 35 26 18 8 7 12 8 2 2 2 4 4 3 4 4 5 5 4 4 5 6 5 6 9 8 12 14 17 20 26 36 48 45 12 10 9 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 1 2 3 3 5 6 4 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 4 18 18 6 5 12 23 13 31 38 39 38 40 44 48 54 56 69
182 192 199 223 216 161 112 94 86 88 93 104 120 135 148 155 153 139 119 103 90 77 67 60 55 53 50 47 44 41 27 18 17 17 14 7 3 4 6 8 2 3 3 4 4 4 3 4 4 4 4 4 9 8 11 13 15 16 19 22 32 56 16 8 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 1 3 4 4 5 3 2 4 5 4 2 1 1 0 0 0 0 0 0 0 1 0 1 1 1 2 18 31 18 11 21 45 26 34 36 36 41 46 50 52 57 56 60
186 237 290 309 266 188 127 98 88 86 90 101 119 140 155 159 152 139 114 96 84 74 67 60 54 50 48 47 47 52 38 37 32 29 25 23 23 19 11 18 4 3 3 3 3 3 3 3 3 2 2 3 5 8 10 11 12 13 14 17 23 33 12 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 0 0 0 0 0 2 2 2 3 2 3 5 6 3 2 2 2 1 0 0 0 0 0 0 3 2 1 1 1 11 33 43 37 16 42 47 51 48 44 45 49 53 56 60 61 62
216 283 262 193 142 125 99 87 89 96 103 118 139 157 167 164 147 130 112 97 86 76 69 63 58 54 51 49 49 57 52 55 59 59 51 48 56 51 14 28 14 5 3 2 2 2 2 2 2 1 3 4 4 6 7 7 7 6 9 17 22 12 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 1 1 1 1 1 1 2 2 3 3 6 7 5 3 6 7 5 3 3 8 8 2 2 13 14 11 8 3 4 18 53 76 41 43 56 65 68 65 49 49 53 58 60 62 64
129 108 44 6 18 57 86 110 129 150 155 161 177 188 183 171 150 129 113 101 90 81 74 69 64 61 60 64 71 80 83 89 102 108 93 71 60 40 30 33 23 13 11 8 3 1 0 0 1 0 2 2 2 2 1 1 2 1 2 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 1 1 1 1 2 2 3 3 5 7 14 18 20 25 25 24 21 16 20 27 25 19 11 20 30 32 27 17 12 3 30 64 69 72 70 64 76 80 65 58 55 57 60 64 65
63 41 19 8 11 41 106 191 263 264 241 223 218 211 195 176 155 136 120 108 98 90 83 79 79 82 88 98 113 126 129 130 145 152 133 109 101 86 74 69 66 66 66 50 28 16 7 6 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 1 1 1 1 2 4 6 10 13 13 19 30 34 36 39 40 42 40 34 35 38 38 34 29 28 31 38 43 33 27 24 29 45 67 86 85 65 77 81 76 74 71 64 60 62 63
55 43 30 19 26 89 209 304 344 356 322 273 238 217 198 177 158 144 131 122 114 106 102 105 115 126 136 148 160 173 178 177 187 193 177 168 167 163 152 147 150 150 136 105 71 54 43 30 18 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 1 3 4 7 11 13 12 17 23 27 27 32 38 41 43 44 45 48 51 45 40 40 42 41 40 40 35 37 52 48 40 32 29 32 48 74 93 78 67 81 83 89 87 75 66 63 64
44 40 33 24 43 137 211 189 270 368 377 317 259 228 202 183 170 156 152 146 141 140 145 154 167 178 189 200 210 223 228 225 226 231 229 224 215 208 195 176 164 149 129 105 76 55 43 32 26 10 3 2 2 3 2 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 1 2 4 8 11 14 17 20 22 23 26 29 32 36 39 43 48 50 51 55 66 64 56 49 49 56 68 79 62 58 66 65 59 45 34 31 36 58 90 82 64 66 73 82 90 87 75 67 67
43 39 35 33 40 76 73 36 81 183 269 320 325 268 226 216 205 196 190 183 182 187 195 203 215 225 238 254 265 276 282 283 281 277 272 267 249 221 196 146 98 70 58 51 38 25 25 19 14 8 4 4 5 5 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 4 7 10 13 16 17 18 20 22 24 26 29 34 40 46 53 61 68 74 77 85 91 91 84 74 68 81 116 109 105 100 94 89 80 63 48 40 50 75 76 77 82 79 77 86 91 88 81 76
49 43 37 39 49 42 38 39 49 75 114 235 378 328 278 267 263 258 246 232 228 235 242 245 254 267 285 301 312 323 329 329 322 312 310 300 270 235 176 100 39 12 8 9 7 4 6 3 2 2 3 4 6 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 0 0 0 0 0 0 3 8 10 11 13 15 17 18 21 23 26 29 34 41 48 56 63 71 80 90 96 102 111 121 131 127 101 92 110 127 136 139 139 133 116 102 89 62 58 72 75 80 83 75 69 85 89 103 102 91
52 62 65 64 79 85 77 79 88 78 69 142 282 319 329 331 334 326 307 288 282 285 285 280 285 304 328 346 355 359 360 361 365 356 323 311 266 206 131 60 14 0 0 0 0 0 0 0 0 0 1 3 6 6 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 1 6 9 10 12 14 15 18 20 22 27 33 39 45 51 58 65 74 83 93 103 112 119 124 133 151 172 162 142 130 134 148 169 185 179 164 162 143 105 91 89 86 89 99 96 84 92 91 101 113 111
50 69 76 79 106 91 69 58 50 36 31 57 112 175 258 305 320 334 337 331 326 327 319 310 314 331 348 364 365 364 365 361 367 370 348 310 243 154 82 34 6 0 0 0 0 0 0 0 0 0 2 4 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 6 10 12 14 15 17 23 29 35 40 44 48 52 58 65 73 83 93 101 110 123 137 146 151 170 202 211 208 184 168 171 187 200 202 216 199 176 160 143 122 103 102 110 117 108 101 98 105 128 141
33 30 26 32 51 35 22 19 15 10 9 12 22 37 56 119 147 209 260 278 291 312 318 317 332 336 341 355 360 356 357 366 378 386 359 273 190 119 60 20 2 0 0 0 0 0 0 0 0 0 0 1 1 1 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 1 4 9 13 15 18 20 23 33 39 43 46 50 55 59 64 72 81 91 101 113 127 142 160 176 181 199 239 252 262 256 235 220 220 229 221 241 235 231 216 193 173 147 128 134 143 129 118 116 115 125 145
10 3 2 1 2 6 7 8 10 11 8 4 2 4 4 10 18 46 68 96 153 207 256 273 302 309 309 322 339 349 357 366 373 378 324 210 132 85 45 14 2 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 12 16 18 21 25 28 31 39 48 53 57 60 64 69 74 81 90 100 116 137 154 167 185 205 211 222 264 299 323 333 318 295 282 293 281 270 270 267 247 235 235 204 176 173 165 146 145 148 141 140 141
10 9 13 20 26 35 37 30 19 13 11 7 0 3 5 2 1 3 4 7 26 72 148 180 220 230 232 251 284 312 321 275 229 164 153 132 97 62 33 15 5 4 4 1 0 0 0 0 0 0 0 1 2 3 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 9 20 26 25 26 30 33 37 40 46 53 60 66 70 75 80 86 93 98 106 120 143 170 190 211 239 248 259 282 314 356 387 398 393 380 386 375 358 350 332 296 289 285 258 230 214 203 196 194 186 172 172 144
40 39 47 59 67 80 83 68 45 26 15 18 5 2 2 2 2 2 1 0 1 9 78 116 125 126 136 160 204 271 295 205 185 151 122 100 83 64 42 26 13 9 10 8 6 4 5 5 5 3 4 4 5 4 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 4 9 11 21 35 39 35 36 40 45 50 55 59 64 68 74 81 91 95 100 107 112 118 130 152 178 207 231 269 295 323 351 375 408 440 477 488 490 490 483 475 461 435 389 354 327 305 294 274 248 236 236 226 190 196 179
85 86 92 95 98 107 109 94 73 58 45 45 32 23 19 18 19 18 10 2 1 3 57 80 89 109 131 142 149 176 221 216 197 161 126 101 86 72 46 32 20 13 12 12 12 11 10 9 8 9 8 5 3 3 3 3 2 2 3 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 7 14 27 34 38 46 50 49 49 53 59 65 72 78 84 88 94 102 112 118 123 130 136 143 158 179 196 224 250 288 331 380 433 487 519 526 559 587 602 602 596 585 563 536 500 460 415 372 357 347 305 273 273 270 219 206 205
126 124 123 122 115 113 113 106 94 88 83 83 84 86 71 59 62 63 44 20 17 25 61 95 127 154 180 193 186 198 207 197 174 144 112 83 66 56 35 27 20 15 14 16 18 18 17 17 16 15 13 11 7 4 2 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 24 30 41 56 63 64 66 67 66 68 73 81 89 96 103 108 116 133 141 149 160 172 182 186 194 212 230 253 279 314 360 422 498 550 578 607 644 680 703 709 704 686 657 631 610 592 548 487 446 423 385 342 314 306 264 224 208
153 148 144 138 129 123 121 117 111 110 114 119 118 138 131 111 106 104 88 72 71 85 110 139 162 177 189 196 184 173 150 123 91 62 43 32 26 24 17 14 13 13 13 15 17 18 19 19 18 16 16 15 14 11 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 21 38 46 58 81 104 113 94 93 91 89 91 97 103 110 118 132 146 163 176 190 208 228 243 247 257 275 288 307 329 357 400 465 543 622 665 688 718 745 766 787 795 791 769 732 703 692 665 607 538 468 480 450 383 340 309 273 231
172 168 162 154 145 139 138 137 134 134 139 149 144 155 155 149 146 145 141 139 145 147 144 146 144 136 129 117 93 64 45 31 19 10 4 2 5 5 5 5 5 6 8 11 12 11 11 9 7 6 8 8 8 9 11 8 7 4 2 1 0 2 4 2 2 1 1 0 0 0 0 0 0 0 1 5 10 22 44 69 89 103 121 140 134 136 135 131 128 127 123 123 131 156 175 192 212 237 260 281 297 315 331 346 363 380 396 415 449 510 583 652 711 753 784 804 815 838 850 851 861 825 785 761 742 711 642 578 572 548 480 411 381 375 322
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