Vorticity
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nan 7 8 7 6 5 4 4 4 3 3 2 2 3 3 3 3 3 4 4 3 3 3 4 5 5 5 4 3 3 3 4 4 4 4 4 5 5 6 7 9 11 12 11 10 9 8 7 6 5 5 4 3 2 0 -1 -1 -1 1 2 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 10 10 9 7 6 6 6 6 6 6 5 4 3 3 3 5 7 8 8 8 7 7 6 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 nan
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nan 9 9 8 8 9 9 10 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 6 5 5 5 6 7 8 9 8 7 7 6 7 7 6 6 6 6 7 7 8 8 8 7 6 6 7 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 8 8 7 7 7 8 8 9 10 11 12 12 12 13 14 15 17 18 19 21 22 23 21 17 14 11 10 9 9 9 9 9 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 7 7 7 8 9 9 9 9 8 8 7 8 8 7 7 7 7 8 9 10 11 12 12 12 12 13 14 14 14 15 17 19 22 22 21 18 14 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 nan
nan 11 11 11 10 10 10 9 8 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 7 7 7 6 7 7 8 8 8 8 8 9 9 8 8 8 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 7 8 9 10 10 10 10 9 8 8 8 8 7 7 6 7 9 10 10 11 10 11 11 11 11 11 10 10 12 16 19 22 23 21 18 15 13 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 nan
nan 10 10 10 10 9 9 9 8 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 7 8 8 7 7 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 8 8 9 10 11 12 11 10 8 8 7 7 7 6 7 8 8 9 9 9 9 9 10 10 9 8 7 6 8 13 17 21 24 25 23 20 17 15 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 nan
nan 8 8 8 8 9 9 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 9 9 8 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 11 12 12 11 9 8 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 6 5 6 10 15 20 24 27 27 25 22 19 16 14 13 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 nan
nan 7 8 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 8 6 5 5 6 7 7 8 8 8 8 9 9 9 9 9 8 7 6 5 7 10 16 21 26 27 26 24 21 18 16 14 13 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 12 12 nan
nan 8 9 10 10 9 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 6 6 7 7 7 6 6 7 8 8 8 8 9 8 8 8 7 6 6 6 6 7 7 8 8 9 10 10 10 10 9 8 8 8 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 11 11 10 8 6 5 6 6 7 7 7 7 8 8 9 9 9 8 8 9 9 8 6 4 5 9 15 20 23 23 22 21 19 17 15 15 14 14 14 13 13 13 13 14 14 15 15 15 14 14 13 13 12 nan
nan 8 9 10 9 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 7 7 6 5 5 6 7 8 9 9 10 9 8 7 6 6 6 6 6 7 7 8 8 9 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 11 11 11 10 10 10 9 9 10 10 8 7 7 8 8 7 7 7 7 8 8 9 9 9 8 8 8 9 9 7 4 3 3 6 11 16 18 19 19 18 17 16 15 15 14 14 14 14 14 14 14 15 15 15 15 14 14 13 13 12 nan
nan 8 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 5 5 6 7 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 9 9 8 7 7 8 8 8 9 9 8 8 8 9 9 9 8 7 5 3 2 4 7 11 13 14 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 nan
nan 7 8 8 8 8 7 8 8 7 7 7 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 7 6 6 6 7 9 10 11 11 10 9 8 8 7 7 8 7 7 7 6 6 7 8 9 10 11 11 11 11 10 9 9 10 11 11 11 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 8 9 9 10 9 9 9 9 8 8 9 8 8 8 9 9 9 9 9 9 8 6 3 2 1 2 4 5 6 7 10 13 15 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 11 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 7 7 6 5 6 7 8 9 9 10 11 10 10 10 10 11 10 10 10 11 11 11 11 11 10 9 9 9 10 9 9 9 10 9 9 9 9 10 10 10 9 8 8 8 9 8 9 10 10 10 9 9 9 9 9 9 7 4 2 -0 -0 1 1 3 6 10 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 nan
nan 6 6 7 7 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 5 6 7 8 8 9 9 9 9 10 9 8 7 6 6 7 9 10 10 10 10 9 8 7 7 7 7 6 6 7 8 9 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 8 8 9 9 10 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 5 4 3 3 5 7 9 11 12 13 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 nan
nan 7 6 7 8 9 9 10 10 9 8 8 8 8 8 9 9 10 10 9 8 8 8 7 7 7 6 5 5 5 5 5 6 7 8 8 9 9 10 10 10 9 8 7 7 8 10 11 12 12 11 10 8 8 9 9 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 9 10 11 11 10 9 8 8 8 8 7 7 7 8 9 9 9 9 10 10 10 9 9 10 10 9 9 8 8 8 7 7 8 10 13 15 14 12 11 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 nan
nan 7 7 8 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 5 5 5 6 6 7 8 9 10 11 11 11 10 10 10 10 9 9 10 10 9 8 9 10 10 9 8 8 7 6 6 7 7 8 9 9 9 9 10 9 9 9 9 10 11 11 11 9 8 8 10 11 11 10 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 13 16 16 13 10 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 nan
nan 9 8 8 9 9 10 11 11 11 10 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 6 7 9 11 11 12 13 13 12 8 5 6 7 8 9 9 10 10 10 9 9 9 8 6 5 5 6 7 7 7 8 9 9 10 10 10 10 10 10 10 10 8 7 8 9 10 10 9 9 9 8 8 8 7 7 8 8 8 8 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 12 15 16 14 10 7 6 6 6 7 7 7 6 6 5 5 4 4 3 3 2 1 nan
nan 10 8 7 7 8 9 11 11 11 10 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 5 4 4 4 6 8 9 10 12 13 13 12 8 7 7 8 8 9 9 9 9 8 8 8 9 8 6 4 5 6 6 6 6 7 7 8 8 9 10 10 9 8 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 8 9 9 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 13 13 11 7 4 3 3 3 3 3 4 3 2 1 1 -0 -1 -2 -2 -3 -3 -4 nan
nan 10 9 7 7 8 10 11 11 10 10 9 8 8 8 8 8 9 9 10 10 10 10 9 10 10 10 10 9 9 9 9 9 7 6 5 5 5 5 5 7 9 11 12 13 12 12 13 14 12 9 8 7 7 6 6 6 7 8 8 7 6 6 7 7 6 6 6 6 6 6 7 9 9 8 7 6 6 6 7 8 8 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 4 1 0 1 1 -1 -2 -2 -2 -2 -3 -3 -4 -4 -5 -5 -5 -5 -5 -5 nan
nan 10 10 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 9 10 11 11 10 10 11 11 11 10 10 11 11 11 10 8 7 7 6 6 5 5 6 8 10 11 12 13 15 17 17 14 10 7 5 5 4 4 5 6 8 8 7 6 7 7 7 7 5 5 6 5 5 6 7 8 8 7 6 6 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 6 6 7 7 8 8 8 7 7 8 7 5 2 2 3 4 2 -1 -5 -6 -6 -6 -5 -5 -5 -4 -4 -4 -4 -3 -3 -3 nan
nan 12 13 13 12 12 11 10 10 10 9 9 9 9 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 12 11 11 10 9 9 9 8 6 5 6 7 8 9 10 12 15 16 16 13 10 7 5 5 4 5 5 7 8 7 6 6 6 7 8 7 5 4 5 5 5 5 6 8 8 7 7 6 7 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 7 6 5 5 6 6 4 1 -3 -6 -7 -7 -4 -3 -2 -1 -0 0 0 1 1 1 nan
nan 13 14 13 13 12 11 10 10 10 10 10 10 11 11 10 10 11 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 11 8 6 6 6 6 6 8 10 12 13 13 11 9 9 8 8 7 7 7 7 7 6 6 6 7 8 9 7 5 4 4 5 4 5 6 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 8 7 7 6 7 7 7 7 7 7 6 6 7 7 6 5 5 6 7 7 7 6 6 6 5 4 1 -3 -5 -3 -0 1 2 2 3 4 5 4 4 5 nan
nan 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 11 12 12 13 14 14 14 14 14 15 16 16 15 12 9 7 6 6 6 6 7 9 10 10 10 9 10 11 11 11 10 10 9 9 8 7 6 7 8 9 9 8 6 4 4 3 2 4 5 6 7 7 7 8 8 9 9 9 8 9 9 9 9 8 7 7 7 8 9 9 8 7 6 7 7 8 8 8 8 8 8 8 7 7 6 5 6 6 7 7 6 5 5 5 5 5 3 0 -1 1 2 4 4 5 5 6 7 7 7 7 nan
nan 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 12 13 12 12 11 10 11 11 10 11 11 12 13 15 15 15 14 15 15 14 13 12 10 8 6 6 6 7 7 8 8 8 9 9 10 12 12 12 12 11 11 10 9 8 7 7 8 8 8 7 6 5 4 2 2 4 5 6 6 6 7 7 8 8 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 7 6 7 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 6 6 6 6 5 5 4 3 3 4 4 5 6 6 7 7 8 8 8 8 nan
nan 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 11 12 12 13 13 12 12 13 13 13 12 11 10 9 8 7 7 7 7 7 7 8 9 9 10 11 11 11 11 11 11 11 10 9 8 7 7 8 8 7 7 6 5 4 4 5 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 6 7 8 8 8 8 8 8 nan
nan 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 10 10 11 11 11 11 11 10 9 8 8 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 10 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 6 6 6 7 8 8 7 7 7 8 8 8 8 8 8 9 9 10 9 9 9 9 10 9 9 8 7 7 6 6 5 5 5 6 7 7 7 7 7 8 8 nan
nan 11 11 12 12 13 13 12 11 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 8 7 6 5 5 5 5 5 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 9 9 9 9 9 8 7 7 6 5 5 6 6 6 7 7 7 7 7 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
178 206 247 221 72 7 4 4 3 3 1 2 9 21 27 24 22 45 73 87 66 67 125 194 206 157 94 37 6 8 21 28 26 31 36 36 37 40 46 54 67 89 128 189 252 285 292 275 241 197 143 87 51 34 25 15 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 0 0 0 0 0 0 0 1 2 4 8 45 97 155 187 180 160 126 104 97 141 210 294 378 437 482 521 545 568 564 584 597 600 600 572 529 499 480 450 420 398 398 394 392 386 372 332 271 213 168 130 102 86
214 255 357 351 145 57 27 14 8 4 1 1 3 8 11 10 17 69 88 74 72 84 130 195 232 203 107 37 2 4 22 27 28 33 37 37 35 38 45 53 59 74 104 153 201 230 238 226 199 165 123 74 46 27 12 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 0 0 1 1 1 3 4 6 8 18 40 70 94 100 106 78 57 49 58 76 127 185 212 219 231 246 245 213 220 227 218 219 221 212 188 164 154 145 129 142 157 162 181 175 133 96 71 61 53 48 39
272 327 412 403 238 138 62 28 15 6 0 0 4 11 6 10 59 103 120 118 118 126 152 214 293 286 132 37 4 1 11 18 23 30 36 35 32 34 41 48 52 63 86 121 156 182 191 184 164 129 103 63 37 20 8 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 1 1 2 3 3 3 4 6 7 10 17 26 29 31 33 47 43 40 39 39 39 50 72 89 85 79 85 86 61 42 50 52 50 54 56 48 40 28 34 27 34 43 50 54 47 41 37 29 27 28 26 21
309 318 345 320 236 133 66 41 26 10 0 0 6 21 8 6 81 129 129 118 134 174 213 267 334 291 134 41 11 10 16 15 13 24 34 29 23 28 33 39 44 52 69 93 119 139 145 135 117 97 76 46 25 12 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 1 2 4 5 5 6 6 7 8 11 19 29 25 25 28 32 34 37 37 34 32 30 32 38 39 35 36 37 33 30 29 27 26 24 21 19 15 13 13 13 13 14 15 16 17 18 18 19 19 19 17 19
333 312 281 256 192 111 63 48 33 14 3 1 3 11 6 18 75 122 148 157 188 230 261 302 344 263 134 47 17 27 32 19 7 17 27 6 3 11 21 31 35 41 53 71 91 105 107 98 83 67 49 30 15 4 0 0 0 0 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 3 4 5 6 7 7 7 8 11 18 24 26 25 26 30 33 35 36 35 32 27 24 24 26 26 26 27 27 26 25 24 22 21 18 16 14 12 11 10 9 8 9 9 7 8 11 12 12 11 14 22
348 308 246 193 142 90 58 47 39 28 23 22 14 3 5 24 81 143 189 189 196 232 272 320 332 255 139 53 23 35 39 32 19 8 9 0 0 0 9 20 24 29 38 52 68 78 80 72 57 42 27 10 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 1 2 3 3 4 5 6 7 7 8 8 9 15 22 24 25 25 28 32 34 36 37 36 31 25 22 22 21 20 21 20 20 20 21 20 19 17 16 15 12 9 8 6 6 8 7 7 8 9 9 7 5 6 13
278 244 194 151 121 92 66 52 46 40 39 41 31 13 24 45 96 174 198 187 199 241 294 330 307 243 136 61 29 34 43 40 24 5 1 0 0 0 1 2 10 16 24 35 48 58 60 53 42 25 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 0 1 2 2 3 4 6 6 6 7 8 7 6 7 10 16 22 24 25 27 30 32 34 35 38 35 32 27 23 20 17 17 17 16 14 13 13 12 12 12 12 12 9 6 4 4 5 5 6 6 5 4 3 2 1 2
189 199 160 132 108 79 60 54 48 37 34 29 37 35 48 113 134 154 176 192 211 252 304 299 213 208 128 69 31 20 23 22 13 1 0 0 0 0 0 0 0 2 8 17 27 39 45 41 31 10 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 1 2 2 3 5 6 6 6 6 7 6 6 5 7 12 17 21 24 25 26 29 31 28 32 32 31 29 27 25 24 20 18 16 13 12 12 11 10 10 9 9 8 5 2 3 2 2 2 2 2 2 3 4 2 4
138 154 133 98 75 61 58 66 61 37 33 25 21 32 69 134 134 128 160 207 243 284 319 277 162 159 96 58 34 20 20 23 17 4 0 0 0 0 0 0 0 0 1 3 8 16 26 21 11 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 1 2 2 4 5 6 6 7 7 7 5 5 5 6 9 12 17 22 22 22 26 26 24 24 24 24 25 26 26 27 23 21 19 15 12 11 11 10 8 5 2 1 3 2 2 2 2 2 2 3 6 8 7 5 8
86 95 80 55 46 60 78 89 81 47 39 31 27 40 101 160 153 138 167 219 256 285 312 263 172 99 50 36 33 27 26 30 24 12 2 0 0 0 0 0 0 0 0 0 1 2 8 6 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 1 1 3 4 6 8 9 9 7 7 4 4 5 6 7 9 14 19 18 19 22 23 21 20 18 16 16 17 18 20 20 17 14 13 13 11 10 9 7 4 2 3 3 3 3 3 5 6 6 10 12 13 12 10 10
47 47 47 40 45 80 110 105 83 58 44 38 38 62 131 173 146 125 162 214 246 269 277 219 147 81 38 27 27 28 28 22 21 17 6 1 0 0 0 0 0 0 0 0 0 0 1 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 1 1 3 4 6 7 9 9 8 6 5 4 5 6 6 8 13 17 16 17 19 20 18 16 16 14 11 9 10 11 9 7 8 10 9 8 8 6 7 8 8 7 6 5 6 8 11 15 17 18 18 17 15 15 15
42 59 80 72 71 102 125 111 88 68 51 47 51 78 151 145 95 99 159 212 246 268 246 176 106 58 33 26 29 36 43 35 29 24 15 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 1 1 1 3 5 7 10 11 10 8 6 5 4 4 5 6 8 12 16 18 18 18 18 18 17 16 14 10 4 5 5 5 4 4 4 5 6 7 5 8 10 12 11 11 12 15 16 17 20 22 20 20 20 20 20 17
78 115 134 120 114 127 135 120 94 65 52 49 54 85 129 112 85 117 176 220 247 246 199 135 78 48 36 30 30 37 46 44 39 32 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 3 5 7 10 11 11 9 7 6 5 4 5 5 8 12 15 16 17 16 15 13 12 13 13 9 2 3 4 4 4 4 6 6 6 5 5 5 7 11 15 17 20 22 21 18 20 20 20 23 26 26 24 18
135 143 133 123 120 119 110 92 79 71 58 58 94 131 123 87 83 126 183 224 247 239 187 117 65 43 34 29 28 32 42 52 62 44 31 21 10 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 3 6 6 4 4 5 7 10 10 10 9 8 7 6 5 5 6 7 10 11 11 12 13 11 11 11 11 13 10 7 7 7 7 6 6 6 5 6 6 6 6 8 11 15 18 20 22 19 17 17 18 22 28 31 28 23 20
141 137 121 101 88 81 74 73 107 122 120 133 158 148 108 74 75 118 188 226 249 244 172 97 54 39 33 29 29 33 45 71 75 56 38 27 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 6 8 10 10 10 9 7 7 7 6 5 6 6 7 8 8 8 8 8 8 10 9 11 12 12 11 10 9 9 9 8 8 8 8 8 8 8 9 11 13 15 18 18 18 17 19 23 29 31 27 21 21
98 95 88 77 71 75 92 119 169 174 168 163 142 104 74 64 71 106 174 213 245 219 142 81 53 42 37 31 31 40 47 58 67 61 44 29 20 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 6 7 5 6 8 10 10 10 9 7 7 6 6 5 5 6 7 7 7 6 6 6 6 6 7 9 12 13 12 11 9 9 10 10 10 9 9 9 8 7 6 7 8 10 13 16 18 19 18 20 23 26 24 23 23
74 62 58 61 67 82 110 140 161 148 132 111 87 69 61 58 62 82 145 176 201 174 107 69 57 47 42 34 36 45 46 54 74 78 56 32 23 12 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 2 4 4 4 6 7 6 6 7 9 10 10 10 8 7 7 5 5 6 7 7 8 7 6 6 6 6 7 8 9 12 14 12 10 10 9 10 10 10 8 8 8 7 7 6 5 7 8 9 12 16 18 16 17 20 22 22 21 20
64 54 51 54 59 70 80 91 95 85 76 68 57 52 53 56 62 73 115 117 126 130 94 68 60 49 47 44 45 46 47 60 84 91 66 35 24 13 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 2 6 4 4 6 8 8 8 8 9 10 10 9 8 7 7 6 6 7 9 10 10 9 8 7 7 6 7 8 9 10 13 12 10 9 9 10 9 7 6 6 7 7 8 7 7 8 8 7 9 11 12 13 15 18 20 21 19 17
39 43 52 57 53 48 44 44 50 50 51 54 55 54 56 63 80 105 103 88 82 80 68 57 53 50 54 62 64 61 67 78 96 105 85 45 25 15 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 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 3 4 7 9 9 9 9 10 11 10 7 7 7 7 6 6 8 11 13 13 12 10 8 7 6 8 12 12 10 11 13 11 10 9 9 7 5 4 5 6 7 8 8 8 8 7 7 8 9 9 11 15 18 21 21 20 18
17 30 41 43 34 26 20 19 19 26 36 44 47 47 51 66 96 123 114 111 99 78 61 53 52 53 63 84 97 100 111 108 115 124 102 61 29 19 17 13 6 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 1 5 8 1 3 5 7 9 9 10 10 10 11 9 7 7 7 7 7 8 9 10 13 13 13 12 12 10 8 8 10 10 8 9 13 13 12 10 9 7 5 5 6 6 7 8 8 7 7 7 7 9 11 12 14 16 19 21 22 21 19
9 17 20 18 13 11 8 7 6 9 17 26 33 39 46 68 115 126 99 126 132 108 83 68 60 61 80 118 131 137 125 97 95 120 122 82 38 31 33 24 13 8 8 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 3 12 3 2 3 5 7 9 10 11 12 11 12 11 8 7 7 7 7 7 7 9 11 13 12 12 12 12 12 12 13 13 10 9 10 10 11 11 9 8 6 6 6 6 6 7 7 6 7 7 9 12 13 14 16 18 19 20 20 20 18
5 7 7 6 6 6 5 5 5 5 7 9 13 19 35 72 134 141 143 162 174 159 126 96 75 77 108 146 161 160 138 115 115 130 126 80 51 47 36 19 9 9 11 12 11 12 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 8 17 6 3 3 5 7 9 11 12 12 13 13 12 8 6 6 6 6 6 6 7 8 10 11 11 11 11 11 12 13 12 11 9 8 8 10 11 10 9 9 8 7 7 7 7 6 7 9 9 12 13 14 16 18 19 20 20 19 18 17
3 4 6 6 6 6 5 5 5 5 5 5 6 8 22 78 126 155 173 197 228 218 151 105 89 100 132 166 186 189 180 166 142 110 102 59 55 37 18 6 2 2 4 5 4 9 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 2 17 15 5 3 3 5 7 9 12 13 13 14 14 12 9 7 6 6 5 5 6 6 6 7 8 9 10 10 11 11 13 10 9 8 7 7 9 10 10 10 10 10 9 9 9 9 9 10 10 10 12 13 15 17 19 20 21 22 21 19 18
4 4 6 7 7 6 5 5 5 6 6 6 5 7 24 63 111 148 177 210 265 273 177 124 110 126 148 165 179 194 196 171 118 55 51 50 35 16 5 1 0 0 0 0 0 1 5 9 7 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 13 12 4 2 4 6 7 9 11 14 14 15 13 12 11 9 7 6 5 5 5 5 5 6 7 8 10 10 11 12 12 11 8 7 6 7 10 11 10 9 10 10 10 10 10 11 12 12 12 12 12 14 16 18 19 21 22 23 22 21 19
6 6 7 7 6 5 5 5 5 6 6 5 5 5 15 48 95 135 163 193 254 294 214 154 135 141 144 141 147 160 162 143 105 67 47 35 20 6 0 0 0 0 0 0 0 0 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 4 15 9 2 1 4 6 8 9 10 13 14 14 13 12 12 10 8 7 6 5 5 5 5 5 6 7 9 10 10 11 11 11 8 6 6 6 9 12 11 10 10 10 10 10 10 12 14 14 14 13 14 15 17 20 19 20 21 22 22 22 21
7 6 7 6 6 6 6 5 4 5 4 4 4 3 4 13 40 91 133 173 227 266 226 165 130 125 107 97 107 122 122 106 75 52 40 18 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 0 0 0 0 0 0 0 0 2 16 11 2 1 3 6 9 9 11 13 14 14 14 13 12 12 10 8 7 6 5 5 5 5 6 7 9 10 10 10 10 10 8 7 7 7 8 10 11 11 11 11 10 9 11 13 18 18 17 15 15 16 17 19 19 19 20 21 21 20 20
7 7 7 7 6 6 6 5 4 4 4 4 3 3 3 3 5 39 87 134 181 213 197 138 84 86 72 62 68 81 93 90 68 45 32 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 11 2 1 2 5 10 11 14 16 16 15 14 13 13 13 12 9 8 6 6 5 5 5 6 8 10 11 12 11 10 10 9 9 9 7 8 9 11 12 12 13 11 10 11 13 17 20 21 18 16 18 19 18 18 18 19 20 20 19 19
7 7 7 7 6 6 5 4 4 4 4 4 3 2 2 2 2 11 40 89 144 174 167 110 61 59 55 50 54 65 79 73 44 12 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 1 19 29 19 2 2 3 4 10 14 17 19 19 19 17 14 13 12 13 11 8 7 6 7 6 6 6 8 11 12 13 13 11 11 10 10 10 8 9 10 11 12 14 14 12 11 11 13 17 21 23 20 17 18 19 18 17 17 18 18 18 19 20
7 7 7 7 6 6 5 4 4 4 3 4 3 2 2 1 1 4 20 55 109 153 158 108 66 43 32 27 27 32 49 42 18 6 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 4 17 29 25 3 2 3 6 11 16 18 19 20 19 18 15 13 12 12 12 11 8 7 7 7 6 5 7 10 12 12 11 12 12 11 11 10 9 9 9 10 13 15 16 15 13 12 14 16 19 21 20 18 17 17 17 16 16 17 18 19 20 20
7 7 7 7 6 5 5 5 4 3 3 3 2 2 2 2 1 2 8 27 71 129 142 101 59 32 17 10 9 11 23 21 10 4 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 3 16 36 39 9 3 3 6 12 18 22 23 22 21 20 17 15 13 11 11 12 11 9 8 7 6 5 6 8 10 10 9 12 12 12 12 11 10 8 7 9 14 16 17 17 15 13 13 14 17 19 19 18 17 17 16 15 16 16 17 19 20 20
7 7 6 6 5 5 5 4 4 4 3 2 2 2 2 2 2 1 3 12 47 94 102 70 34 15 10 8 7 6 8 6 4 3 2 1 0 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 9 29 36 20 5 4 6 11 18 22 24 25 24 23 20 17 15 13 12 12 13 11 9 8 6 6 7 9 10 7 7 11 12 12 12 12 11 10 8 10 12 15 18 19 17 14 13 14 15 17 17 17 17 17 16 16 16 16 17 18 18 18
7 6 6 5 5 5 4 3 3 3 3 2 2 3 2 2 2 2 1 4 29 59 59 35 12 4 5 6 6 5 5 4 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 3 15 30 44 38 13 4 6 10 14 18 22 25 26 25 23 20 17 15 13 13 14 14 13 11 8 7 8 12 12 7 9 10 11 12 12 12 12 13 10 10 11 14 17 19 19 16 14 13 14 14 15 15 16 17 17 16 16 16 16 17 16 16
5 5 5 5 5 5 4 3 3 3 2 2 1 2 2 2 2 2 2 4 17 34 31 16 5 3 3 4 4 3 3 2 1 1 1 0 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 2 9 23 47 56 30 9 5 7 9 13 16 22 24 25 24 22 20 18 16 15 14 14 14 12 10 9 11 14 11 8 8 9 10 11 11 11 12 13 13 13 13 13 15 17 17 14 13 13 13 13 13 14 15 15 15 15 14 14 14 14 14 14
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