Vorticity
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nan 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 1 1 2 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 8 9 11 12 13 13 11 7 5 5 4 4 4 5 6 6 7 6 6 6 6 6 6 3 -2 -5 -4 0 4 6 7 8 9 8 8 7 6 5 5 5 5 6 7 9 11 12 12 11 9 8 6 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 6 5 5 5 nan
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nan 7 7 7 7 6 6 7 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 6 7 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 6 5 5 6 7 8 8 9 9 9 9 9 9 8 8 7 6 6 7 7 7 7 7 6 5 2 -2 -4 -3 0 3 4 5 5 5 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 6 8 10 11 10 8 8 7 7 7 7 7 8 8 8 8 8 7 6 7 7 8 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 7 6 7 8 9 9 8 7 7 7 7 8 9 8 8 8 8 7 7 8 8 8 7 6 5 5 6 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 7 7 6 6 5 2 -0 -0 1 2 4 6 6 4 3 2 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 8 8 7 8 9 11 11 10 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 5 5 5 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 8 6 5 4 6 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 4 3 2 3 5 8 8 5 2 -0 -0 1 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 8 9 11 10 9 8 8 8 8 7 7 8 8 8 9 10 9 9 8 7 7 7 8 9 8 8 7 7 6 5 5 5 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 6 4 4 7 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 5 4 5 8 10 9 5 0 -3 -3 -0 2 3 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 nan
nan 7 8 8 8 8 8 10 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 8 7 6 6 6 5 5 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 8 7 6 4 5 6 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 9 8 5 -0 -4 -5 -1 1 3 4 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 7 8 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 6 5 4 6 7 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 6 1 -3 -4 -1 0 2 3 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 9 9 8 7 6 6 6 7 7 8 8 8 6 5 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 7 6 3 1 0 -0 -1 0 2 4 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 6 6 6 7 8 9 10 9 9 9 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 7 6 7 9 11 12 11 10 8 8 8 7 8 9 10 10 10 10 10 10 9 9 10 11 11 10 9 7 7 6 6 6 6 6 7 8 8 6 5 6 7 9 9 9 8 8 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 8 7 7 6 6 5 4 2 0 0 1 2 4 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 8 8 9 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 6 6 8 10 11 11 9 8 8 7 7 8 9 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 8 8 7 7 7 8 9 9 6 5 6 8 9 9 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 8 8 8 8 7 7 7 7 7 6 5 3 2 1 1 2 4 5 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 9 10 10 11 10 10 9 7 6 6 7 9 10 9 7 7 7 7 8 9 10 10 10 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 8 9 9 9 7 6 6 7 8 9 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 7 8 8 9 9 8 7 7 6 7 7 7 6 6 5 3 1 1 3 6 8 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 10 11 11 11 11 10 9 7 6 6 7 8 8 7 6 6 7 8 10 10 10 9 8 8 8 8 9 11 11 11 10 10 9 9 9 9 9 9 9 8 5 4 5 7 8 9 8 8 7 7 7 7 7 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 6 6 5 3 3 4 8 11 12 10 8 5 4 5 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 nan
nan 9 9 9 8 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 11 11 10 8 7 7 7 8 8 7 6 6 7 7 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 8 5 1 2 5 7 9 9 8 8 7 6 7 7 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 6 6 6 6 5 6 7 10 12 12 9 4 -1 -1 4 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 9 9 8 8 7 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 8 9 9 10 11 11 12 11 9 3 -0 1 5 8 10 9 8 7 7 6 7 8 9 8 7 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 10 9 4 -4 -8 -4 3 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 10 9 9 8 8 8 8 8 8 9 9 7 6 6 6 7 7 8 8 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 8 9 10 10 10 10 9 9 8 7 8 8 10 11 12 12 12 11 7 2 1 3 7 10 10 9 7 7 7 7 8 9 8 7 7 8 8 9 9 7 6 7 7 7 7 7 8 8 8 9 9 9 9 8 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 4 -2 -10 -10 -2 4 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 7 7 8 10 11 9 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 11 11 10 9 7 7 7 7 8 8 9 11 11 11 10 9 8 7 8 8 9 10 11 11 11 8 5 2 2 6 10 13 11 8 6 5 6 7 8 8 7 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 7 7 6 5 5 6 7 7 6 1 -6 -10 -5 3 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 7 7 8 10 11 10 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 11 10 9 9 9 9 8 9 9 9 8 5 2 2 4 10 14 15 12 8 5 4 5 6 7 7 6 7 8 9 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 10 10 9 9 8 8 9 9 9 8 8 7 5 5 5 6 7 7 5 -0 -6 -5 2 9 12 11 9 8 7 6 6 6 5 5 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 7 7 8 9 10 10 9 8 7 6 5 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 8 8 7 8 10 11 11 11 11 10 9 8 8 8 8 6 3 2 3 8 14 17 16 12 8 5 5 6 6 6 6 7 7 7 8 8 9 9 9 9 8 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 6 6 5 2 -0 4 12 16 15 11 8 7 6 5 5 5 5 5 6 6 6 6 6 7 nan
nan 9 9 9 8 8 8 7 8 8 9 10 10 9 8 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 7 6 7 7 8 8 8 9 9 9 9 8 7 7 7 8 7 7 9 10 11 11 11 11 9 8 7 7 7 6 4 4 7 12 16 17 14 10 7 7 7 8 8 8 7 7 7 6 6 7 8 9 9 8 7 6 7 7 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 7 6 5 5 6 6 6 6 8 13 18 18 15 11 8 6 4 3 3 4 5 5 6 6 6 6 7 7 nan
nan 9 9 9 9 8 8 7 8 8 9 9 9 9 9 8 7 7 7 6 6 7 7 7 6 6 7 8 8 8 7 6 6 6 6 7 7 8 10 10 9 8 7 7 9 9 7 7 7 8 9 9 10 11 10 8 7 7 7 7 6 7 9 12 14 13 10 8 7 8 9 10 10 9 8 7 6 6 6 7 8 8 8 7 6 6 7 8 8 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 6 8 9 11 14 15 14 12 10 7 3 1 -0 1 3 5 5 6 6 6 6 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 8 10 10 10 9 8 9 10 10 9 7 6 6 6 7 8 8 8 8 7 7 7 7 6 7 9 11 10 9 7 7 8 10 10 9 9 9 8 7 6 7 7 7 8 8 7 6 6 6 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 7 6 7 8 9 9 10 10 9 9 7 5 1 -3 -4 -0 3 5 6 6 6 6 6 7 7 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 7 7 7 8 9 9 9 10 11 11 11 10 8 5 4 4 5 5 6 6 7 7 6 6 6 6 8 9 9 9 8 7 8 10 11 10 9 9 9 7 6 6 7 8 8 7 7 6 6 6 6 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 9 9 8 8 8 9 8 8 7 7 8 9 9 8 7 5 3 1 -1 -4 -8 -7 -1 3 5 6 6 6 6 6 7 7 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 7 8 9 10 10 9 9 9 9 9 10 10 9 7 6 6 7 8 9 10 11 11 10 9 7 5 4 4 5 5 6 7 7 7 7 6 6 6 7 8 9 9 8 8 8 9 10 9 9 9 8 7 6 7 8 8 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 8 9 9 10 11 10 10 10 9 9 8 9 9 9 9 8 7 7 8 9 10 8 4 -1 -4 -6 -7 -9 -11 -6 -0 4 5 6 6 6 6 6 6 6 nan
nan 8 8 9 9 9 8 8 7 8 8 9 9 9 8 9 9 8 8 7 7 6 6 6 8 9 10 10 10 9 9 8 9 10 10 9 7 5 5 6 7 8 9 10 10 10 9 7 6 6 7 8 8 8 7 7 7 7 7 6 5 5 6 7 8 8 7 7 8 8 8 8 8 7 7 7 8 9 8 7 6 6 6 7 8 8 9 9 8 7 7 6 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 7 3 -1 -4 -6 -6 -8 -6 -1 3 5 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 9 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 8 6 5 5 6 7 8 8 9 9 9 8 7 7 8 10 10 10 9 8 7 7 8 8 6 4 3 3 5 6 7 7 7 7 6 6 6 6 6 7 8 9 9 8 6 5 6 7 8 9 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 10 10 10 9 8 7 7 7 8 9 8 7 6 5 4 3 0 -1 -0 2 4 5 6 6 6 6 6 6 6 5 nan
nan 8 7 8 8 9 9 8 8 8 8 9 9 10 9 8 7 6 6 6 7 7 7 7 7 7 7 8 10 10 10 10 10 9 8 7 5 5 6 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 8 6 4 4 5 6 6 7 7 6 5 4 4 5 6 7 8 8 8 7 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 10 9 8 7 7 8 9 9 9 9 9 10 10 8 4 1 0 1 4 5 6 6 6 6 6 5 5 5 nan
nan 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 7 6 6 6 7 7 8 7 7 7 7 9 11 11 11 11 10 10 9 8 6 6 6 7 6 6 7 7 7 7 7 7 8 9 10 10 10 11 12 12 13 12 12 11 10 9 8 7 7 7 7 6 5 5 5 5 6 6 7 7 7 6 6 6 7 8 9 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 10 10 9 9 10 10 10 7 2 -2 -3 -0 3 6 6 6 6 6 5 5 4 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
160 156 160 156 132 103 77 65 54 47 37 23 13 9 9 10 10 11 11 12 23 31 31 32 37 44 46 45 45 43 38 31 31 26 26 26 22 19 18 22 29 38 48 54 57 58 57 59 63 66 70 79 79 58 52 55 63 69 70 80 104 126 114 50 27 23 20 19 16 12 11 10 6 2 0 0 0 0 0 0 0 0 0 0 4 10 10 10 12 18 19 21 19 24 31 36 40 47 56 68 86 161 246 282 253 192 132 96 79 69 62 62 61 59 55 52 52 48 43 38 37 36 34 33 30 28 28 29 34 53 86 118 132 127 116
164 167 170 165 150 123 97 80 67 55 42 29 17 11 11 11 12 13 11 13 20 27 34 38 41 44 44 42 37 33 31 29 30 26 22 19 14 9 11 14 20 29 38 42 48 51 52 53 56 63 70 77 82 75 66 67 66 64 73 107 142 138 115 39 22 19 18 17 14 10 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 13 15 17 17 19 23 28 36 41 45 57 72 126 209 293 349 337 269 204 156 120 93 86 78 70 63 59 58 58 55 49 48 45 44 40 36 34 32 33 36 43 65 90 109 126 129
180 188 174 164 165 146 122 103 84 66 49 36 28 24 23 25 25 22 20 23 29 38 46 51 54 53 49 40 36 32 33 34 33 27 21 16 12 9 9 11 14 22 28 33 37 43 49 50 49 55 61 74 67 70 69 67 63 58 64 97 130 111 67 26 19 19 19 15 11 7 5 4 4 3 1 0 0 0 0 0 0 0 0 2 3 0 0 0 5 8 12 14 15 17 19 22 32 36 39 45 55 88 166 383 590 617 576 494 377 268 194 143 113 93 78 70 65 64 63 57 56 54 51 48 44 41 38 39 41 45 56 62 69 78 88
203 210 192 178 177 166 149 128 104 80 60 49 46 46 45 44 40 39 47 54 55 63 72 72 72 67 59 46 42 42 45 46 37 25 15 9 9 10 9 18 14 18 21 25 32 39 44 44 43 51 52 57 60 63 62 57 50 44 52 84 110 92 44 20 18 17 18 17 12 7 4 3 4 4 1 0 0 0 0 0 0 0 1 6 18 0 0 0 1 4 9 12 13 17 21 22 25 30 35 38 42 57 97 251 522 720 817 804 682 510 380 285 202 136 102 90 80 77 73 70 66 64 59 54 53 49 43 42 43 46 46 45 47 49 54
228 227 214 202 199 187 169 147 127 109 97 87 78 71 69 65 59 66 83 96 107 113 107 92 87 77 64 55 47 50 61 73 61 32 15 8 6 6 9 17 16 16 19 25 32 37 40 41 37 44 47 50 47 45 44 40 36 35 46 72 72 38 25 21 19 17 17 16 13 9 5 3 4 2 0 0 0 0 0 0 1 1 1 11 23 9 2 0 1 5 10 12 16 17 22 24 22 23 29 34 38 44 58 107 232 428 656 723 680 561 449 354 261 173 125 111 100 94 90 86 72 70 67 64 67 62 54 49 50 50 48 50 48 45 46
259 252 243 226 214 199 187 170 155 141 122 107 99 91 90 86 86 98 117 150 160 147 139 110 88 67 61 67 61 65 86 102 93 69 48 26 17 15 19 17 15 16 20 25 30 33 35 35 33 38 38 36 31 31 30 31 33 32 40 53 37 20 17 18 16 14 14 13 11 9 7 3 5 2 0 0 0 0 0 0 1 1 2 17 23 13 6 5 6 11 16 16 17 15 17 23 23 23 26 30 36 43 50 60 79 129 299 401 422 405 365 307 246 183 139 122 114 106 98 84 74 74 73 73 74 65 62 55 60 63 64 73 74 55 54
300 275 256 235 219 218 214 189 164 144 117 101 100 105 116 126 138 138 146 178 187 161 148 130 100 89 87 98 92 92 107 115 105 95 89 80 60 49 42 30 25 23 25 26 27 30 36 43 36 40 33 42 40 30 21 18 20 22 32 46 29 20 16 14 12 12 12 12 10 9 7 3 3 2 1 1 1 0 0 0 0 0 5 22 34 25 14 16 20 20 22 19 19 15 12 15 19 22 24 26 30 35 45 52 57 70 120 178 216 238 241 215 185 166 138 123 116 112 106 93 79 73 72 74 88 82 76 70 81 90 95 112 122 114 124
312 268 248 236 238 240 210 164 131 113 98 92 102 107 123 142 148 149 154 176 194 173 151 160 145 153 147 136 122 114 113 108 95 88 80 75 85 85 70 49 38 35 34 31 29 31 40 52 44 52 48 47 37 22 13 12 16 25 47 71 52 29 17 13 11 10 10 11 8 6 4 2 1 1 0 0 1 0 0 0 0 1 5 21 51 46 24 22 28 32 34 22 24 20 12 9 11 15 20 23 25 28 35 41 48 55 70 96 127 153 165 157 140 128 118 110 106 101 93 81 70 69 70 71 83 84 79 81 91 91 96 124 138 156 178
329 295 268 266 267 240 181 124 91 75 73 72 75 78 95 106 107 108 116 134 156 170 173 165 155 160 160 146 131 121 110 97 94 93 82 65 63 74 70 64 59 54 49 44 39 36 41 49 50 50 45 34 21 12 10 11 27 47 69 85 58 28 14 11 9 6 6 7 4 2 1 1 1 0 0 0 0 0 0 0 0 0 2 12 45 61 40 26 27 36 53 38 32 26 17 11 9 13 18 24 25 26 28 32 37 45 55 69 91 123 147 156 142 119 102 91 83 74 68 64 64 62 64 64 62 62 60 61 61 58 61 83 103 141 167
362 331 306 294 250 196 147 110 86 70 66 62 58 61 71 84 91 88 89 106 131 161 138 156 160 162 159 145 134 129 125 117 107 124 107 97 89 88 97 114 108 80 74 80 64 63 64 60 51 42 36 30 24 21 17 19 59 85 93 101 86 50 17 6 5 5 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 26 49 51 31 34 45 77 72 58 44 29 15 8 11 16 25 26 28 30 32 34 38 44 52 66 95 135 161 148 120 94 75 64 58 55 53 57 57 59 59 56 50 46 45 44 45 45 50 58 84 115
376 316 292 258 196 153 133 113 96 85 74 70 63 60 63 66 73 83 91 95 108 137 160 168 171 162 155 149 151 159 154 147 149 153 145 142 143 149 160 178 171 124 119 149 146 151 142 123 100 83 70 61 57 55 60 70 114 149 154 147 131 84 27 8 8 13 10 2 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 5 22 52 78 47 74 92 116 111 86 52 27 21 10 10 16 22 25 28 31 35 37 37 38 42 50 68 99 128 130 112 87 66 53 49 54 50 49 57 64 68 65 54 43 38 37 37 38 37 38 46 61
321 249 212 182 154 137 126 111 97 85 73 71 69 71 72 67 70 80 87 104 118 133 149 168 178 170 169 177 195 215 221 221 211 203 206 202 184 196 209 218 227 201 203 222 230 239 241 218 193 165 132 118 112 117 146 162 181 205 197 173 144 95 45 21 8 5 1 0 0 0 1 1 1 1 1 3 0 0 0 0 0 0 2 8 28 89 144 145 173 201 200 168 119 65 29 32 25 21 22 23 25 28 30 33 36 39 37 39 43 53 65 84 95 93 89 76 59 60 70 68 70 73 75 82 86 76 58 48 39 39 39 37 34 34 45
214 178 161 151 140 129 116 104 94 81 65 66 73 73 84 92 94 100 108 122 136 151 168 186 203 207 211 223 240 256 264 270 284 284 267 250 253 279 290 270 264 292 309 286 251 259 311 320 304 281 239 221 210 195 214 227 229 229 214 193 167 126 80 40 15 4 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 4 10 18 36 124 195 261 315 361 364 307 221 164 116 90 68 62 52 42 38 35 32 33 40 51 38 41 51 68 86 94 94 107 123 99 84 84 84 87 92 88 82 86 95 95 87 84 85 68 59 54 48 43 43
175 174 164 174 181 157 119 103 96 88 69 70 80 79 87 98 106 115 125 141 168 204 225 232 240 246 252 263 275 282 293 318 312 318 319 357 384 401 414 396 387 403 411 388 344 335 365 381 375 367 355 328 298 257 262 257 250 241 227 208 182 140 68 48 33 14 4 1 0 0 0 0 0 0 0 0 0 1 1 3 5 9 14 22 74 173 276 360 427 485 517 500 438 389 324 243 180 167 140 110 95 79 51 36 39 51 49 63 84 97 103 107 108 113 110 107 109 110 110 109 111 113 108 100 100 103 106 110 111 103 89 75 68 65 64
269 300 297 323 337 278 184 146 132 114 85 85 96 102 105 106 104 105 124 155 194 240 267 277 279 281 288 297 305 315 356 339 379 385 392 398 431 491 525 513 522 509 505 506 484 446 416 401 390 373 354 362 359 326 299 279 260 240 222 205 188 168 86 67 52 29 12 5 3 3 4 5 2 1 1 0 0 0 1 3 8 14 31 72 146 229 317 402 470 524 579 620 628 609 558 482 376 325 287 243 211 185 128 88 77 83 87 99 122 137 129 124 133 140 135 126 129 137 145 145 137 135 132 129 122 118 121 122 122 120 112 96 85 78 74
296 381 423 450 455 397 285 224 186 140 109 104 113 129 131 112 97 105 136 176 220 269 296 307 313 317 316 322 351 359 405 435 438 455 501 548 568 584 623 597 615 598 587 585 566 523 476 445 430 428 431 410 393 370 340 304 267 235 214 200 196 147 82 66 49 29 17 11 8 7 4 4 1 0 0 0 0 0 0 4 11 22 51 114 203 282 360 436 496 539 585 634 663 671 669 625 543 475 430 381 335 310 254 205 182 173 159 151 166 191 191 224 218 185 172 164 166 177 193 209 216 203 181 179 177 172 160 146 144 143 139 124 111 99 91
247 327 321 299 325 346 302 267 216 157 128 132 132 132 134 128 114 134 182 227 273 313 333 345 354 353 355 377 442 450 483 531 559 572 606 665 700 709 736 685 667 642 623 611 602 586 558 526 507 493 479 449 417 382 344 304 265 232 210 190 163 96 48 29 21 14 11 10 8 6 3 1 0 0 0 0 0 0 2 7 15 33 74 161 255 338 412 483 547 588 601 618 636 644 648 631 594 553 511 453 405 382 348 319 297 287 275 262 263 282 282 276 279 238 227 240 251 253 262 299 331 299 260 254 259 271 270 248 239 207 179 166 149 131 118
124 144 122 109 150 202 229 248 230 189 163 157 153 167 197 212 213 223 259 293 335 361 373 386 390 387 403 428 468 532 589 640 690 701 703 722 724 722 729 710 687 648 618 600 594 596 587 566 543 523 496 457 417 374 332 292 255 216 174 132 92 53 30 18 11 7 6 5 3 3 1 0 0 0 0 0 0 1 5 12 18 53 113 204 303 386 453 516 574 612 625 631 629 621 607 588 566 551 526 473 435 414 399 381 373 374 371 371 370 364 373 375 370 336 325 346 370 376 370 404 418 422 399 377 364 366 392 409 421 373 303 266 236 214 199
61 61 62 69 91 114 158 195 206 182 178 183 192 205 227 266 270 284 320 342 383 399 408 418 418 410 427 468 511 571 639 687 730 749 736 704 688 739 713 678 641 576 552 551 548 552 548 523 495 474 453 425 389 350 309 268 233 185 138 101 72 44 28 19 13 9 6 3 1 1 0 0 0 0 0 0 0 2 7 15 25 69 140 224 311 399 479 539 577 602 627 640 636 623 602 572 541 532 516 482 450 433 431 420 410 413 414 420 433 419 425 426 429 430 433 454 489 503 508 543 568 578 565 535 506 484 498 532 566 564 514 462 412 369 342
58 50 48 53 63 76 108 154 184 170 187 217 230 237 265 296 316 339 341 386 413 423 420 426 442 444 461 494 546 584 649 677 703 728 695 620 622 652 611 588 539 476 470 486 479 469 453 427 402 383 362 351 327 290 255 224 191 144 112 91 65 44 30 22 15 9 6 2 0 0 0 0 0 0 0 0 1 3 10 22 45 92 155 233 325 414 502 564 597 612 630 649 653 638 621 602 574 556 538 515 485 464 458 459 455 451 449 442 465 460 460 463 470 480 497 526 568 585 606 645 690 727 732 705 679 651 647 662 693 728 733 702 650 595 544
45 45 43 41 52 55 69 93 101 114 144 182 231 271 269 300 332 338 381 415 429 446 457 455 460 476 504 515 546 578 604 602 608 606 541 487 514 505 490 474 435 408 410 412 393 370 347 326 305 289 273 257 237 213 190 168 129 100 85 73 59 46 35 24 15 7 4 3 1 0 0 0 0 0 0 1 2 8 17 31 60 108 173 250 344 444 532 581 606 618 635 662 677 668 668 658 642 622 598 576 551 526 512 510 505 502 503 488 495 496 494 492 495 501 518 556 601 633 665 710 776 847 891 897 887 854 844 869 878 891 911 913 881 834 784
18 31 35 23 34 43 56 68 61 60 66 88 121 159 227 305 328 343 383 426 456 479 494 494 483 501 529 547 562 562 533 488 445 400 342 311 341 380 394 372 340 322 320 318 303 283 262 247 231 218 204 188 172 153 124 102 78 65 59 51 44 39 31 21 13 6 5 6 4 3 1 1 2 2 1 2 5 14 24 39 75 137 216 306 397 493 558 589 601 614 639 672 704 718 725 730 724 697 662 632 606 583 567 559 548 552 560 556 551 548 544 537 541 530 534 563 603 653 707 759 815 885 930 982 1013 992 964 967 977 990 1031 1067 1058 973 934
1 8 15 12 20 35 45 50 43 40 41 50 75 105 149 255 325 374 401 426 446 465 491 494 477 517 539 542 541 517 456 377 310 249 192 213 286 325 316 289 263 241 226 226 226 209 196 193 185 177 167 152 133 110 72 59 52 42 36 32 28 26 24 19 15 11 9 8 7 6 4 2 1 1 2 3 8 16 28 51 102 179 256 344 427 502 553 579 592 609 637 670 711 753 772 780 765 730 689 654 626 604 585 575 574 590 611 623 627 625 615 593 591 571 560 559 587 649 699 718 758 763 772 806 849 865 871 893 903 923 958 928 880 861 914
1 1 3 6 17 28 35 49 49 61 72 64 63 90 139 186 234 283 334 380 376 354 390 419 436 497 516 515 502 456 371 281 233 247 230 322 332 286 243 220 203 183 158 144 151 138 138 149 151 143 129 114 97 71 45 36 29 21 16 14 13 15 15 13 12 10 9 9 8 7 4 3 2 2 3 5 9 18 33 64 122 202 284 361 410 469 525 558 568 578 597 622 673 717 747 743 722 694 666 645 628 616 589 587 603 628 653 673 686 682 662 647 635 619 600 576 590 626 617 587 534 477 529 544 556 567 583 600 633 723 696 619 577 660 812
6 10 18 29 36 37 44 75 76 73 80 73 53 44 47 61 84 112 156 226 254 233 276 340 407 470 473 454 416 361 291 221 190 230 327 318 237 158 133 138 137 129 115 94 87 80 79 88 93 84 70 58 50 31 23 17 12 7 7 7 6 7 7 7 7 7 7 7 6 5 2 1 2 3 3 8 12 22 40 75 140 231 315 397 422 460 506 518 501 494 509 505 558 584 604 610 606 601 600 601 598 613 613 609 619 652 687 713 736 743 729 724 727 717 683 648 650 690 704 655 571 493 481 472 449 440 448 430 450 506 553 565 611 740 876
16 29 43 56 53 47 42 54 47 35 34 34 27 18 6 2 10 24 54 100 153 203 248 295 371 410 397 350 289 231 183 150 147 179 148 95 68 49 45 54 62 67 66 58 51 45 38 35 32 27 19 12 9 12 11 8 4 3 3 4 2 2 3 3 3 3 3 3 2 2 1 1 1 0 0 4 11 23 43 83 155 244 297 366 406 440 458 431 384 377 370 369 388 403 418 430 438 446 459 469 485 521 562 582 609 656 702 741 784 796 788 804 836 846 826 795 789 820 826 827 760 691 652 619 598 612 581 601 636 686 729 755 820 950 1069
21 36 40 39 33 26 19 17 12 7 8 8 5 4 4 4 8 11 21 54 117 203 279 316 338 321 278 213 145 98 77 64 58 46 34 13 7 8 8 10 16 20 21 22 19 17 14 10 7 6 4 4 5 8 7 4 2 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 4 10 23 44 80 150 199 238 261 275 297 312 288 247 248 221 214 214 213 223 238 245 246 258 284 314 340 379 435 501 572 638 701 773 846 861 867 900 952 993 1007 1022 1018 1033 1039 1024 997 965 943 906 930 937 974 1010 1033 1043 1061 1115 1228 1306
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