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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 22 21 19 16 14 13 12 12 11 11 9 8 7 6 7 7 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 6 6 7 7 7 6 5 4 3 3 2 3 3 4 4 5 5 6 7 7 8 8 8 8 7 8 8 7 7 8 8 8 9 10 10 11 12 13 16 17 16 12 10 10 8 8 10 11 10 8 6 6 6 8 9 11 13 12 10 8 6 5 5 6 5 5 5 6 7 8 8 7 6 5 4 4 5 7 9 11 12 10 8 6 6 7 9 12 13 12 11 11 12 12 13 12 10 8 7 7 7 6 5 4 5 8 11 12 11 10 9 7 5 4 5 6 7 8 9 9 8 8 9 10 11 12 12 13 13 13 12 nan
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nan 9 8 8 9 11 15 19 20 19 15 10 5 2 2 8 21 33 41 46 44 37 29 23 19 16 14 13 12 11 10 10 9 9 8 8 7 7 9 11 12 12 10 6 2 -3 -6 -7 -4 -1 2 5 7 9 11 11 11 12 13 15 16 16 16 15 14 12 9 8 8 10 11 13 15 18 21 20 18 14 11 10 11 12 12 10 7 4 1 1 2 3 5 6 6 5 3 1 3 5 7 8 9 8 7 5 6 9 12 16 19 22 23 21 18 12 6 4 3 4 7 9 11 12 14 16 14 10 7 6 7 7 6 5 6 8 9 9 9 9 9 8 5 3 3 2 1 0 1 4 8 13 16 17 17 17 16 16 17 17 17 15 12 11 10 11 14 14 14 13 12 11 10 8 4 3 4 5 6 7 9 13 17 18 17 15 13 11 10 11 12 13 13 12 10 7 5 4 6 12 18 23 26 27 27 26 nan
nan 9 8 7 8 10 14 17 20 19 16 11 6 2 3 8 20 34 43 46 45 36 27 21 17 15 14 13 12 11 10 9 9 9 8 8 8 8 8 10 12 12 12 9 5 -1 -6 -8 -5 -2 2 3 5 7 9 11 11 11 11 12 13 14 15 15 14 11 9 9 10 13 16 18 20 21 21 19 16 12 9 9 12 13 14 12 10 7 5 3 4 6 7 8 8 6 3 2 2 4 5 6 5 4 3 2 3 6 11 15 19 23 23 20 16 11 6 4 4 6 8 10 11 11 12 14 15 13 10 9 9 9 9 9 10 12 13 12 11 9 8 8 7 7 6 5 2 -0 -1 0 5 10 14 16 17 17 17 16 15 14 14 12 9 6 5 6 10 13 13 12 11 10 8 6 3 2 3 4 5 6 6 9 13 16 17 16 14 12 11 11 11 11 10 8 5 2 0 2 6 12 18 21 23 22 22 23 nan
nan 9 8 7 7 9 13 16 19 19 16 11 7 2 2 8 20 33 44 47 44 36 26 18 15 13 12 12 11 11 10 9 9 9 8 8 9 9 9 10 12 13 13 13 9 2 -3 -7 -6 -2 2 3 5 7 8 10 10 10 11 12 12 12 13 13 12 10 8 9 13 17 22 24 23 21 19 17 14 10 7 8 11 13 13 12 11 10 9 7 7 8 10 11 10 8 5 3 4 5 6 7 7 5 2 1 2 4 9 14 18 20 20 18 15 11 7 4 3 5 8 9 9 8 9 11 14 13 12 11 11 11 11 11 14 16 17 15 13 11 9 9 10 10 9 6 3 1 -1 -1 2 7 11 13 15 15 15 14 12 11 10 9 8 5 2 1 3 7 10 11 10 9 7 4 3 2 2 3 3 3 3 5 11 14 16 16 15 13 12 11 10 9 8 5 2 -1 -1 2 7 12 15 17 18 18 18 19 nan
nan 9 8 7 7 8 11 15 18 19 17 12 7 3 0 7 19 32 42 47 44 36 25 17 13 12 11 10 10 10 10 10 9 9 9 9 9 9 10 11 12 14 15 15 13 6 -1 -5 -6 -2 2 4 6 7 9 9 9 9 11 13 13 13 12 12 10 9 7 8 13 18 23 26 24 19 15 12 9 7 6 6 8 10 11 11 11 11 10 10 9 11 13 14 13 11 8 6 7 8 10 12 11 8 4 2 3 5 8 12 14 16 16 15 13 11 8 5 3 4 6 7 7 6 7 9 12 12 11 11 12 12 11 11 13 16 16 15 14 14 13 13 11 11 9 7 4 2 0 0 3 5 8 10 11 11 11 10 9 8 9 10 10 9 6 3 2 4 7 9 10 9 8 6 5 4 4 4 4 4 4 6 11 15 17 17 16 14 12 11 9 8 6 4 1 0 1 4 8 11 13 14 15 16 17 17 nan
nan 10 9 7 7 7 10 13 17 18 17 12 7 3 1 4 17 30 40 46 44 36 26 18 13 11 10 9 10 10 10 10 10 9 9 9 9 9 10 11 13 14 16 16 14 9 2 -3 -4 -3 1 4 5 7 8 9 8 9 11 14 15 14 12 11 11 9 8 7 10 15 20 23 21 16 11 7 4 3 4 7 9 10 10 11 12 12 11 10 10 11 13 14 14 13 11 10 10 12 14 15 14 11 6 5 6 7 9 11 11 11 10 11 11 11 9 7 5 5 6 6 6 5 5 7 9 10 10 10 10 9 9 9 11 13 14 14 16 17 17 14 11 9 9 8 6 4 3 4 6 7 8 8 8 8 8 7 7 7 9 10 12 12 9 6 4 4 6 8 9 9 8 6 5 4 5 6 8 10 11 14 17 20 21 20 17 14 11 9 8 7 6 4 3 3 4 6 9 12 13 14 14 15 16 16 nan
nan 10 9 8 7 7 9 12 16 18 16 13 8 3 1 4 14 27 38 44 44 37 27 19 14 11 9 9 9 9 10 10 10 10 10 9 9 9 9 11 12 14 15 16 15 11 6 0 -2 -1 1 4 6 7 8 9 9 10 12 14 15 14 13 12 12 10 9 7 8 11 15 17 17 15 10 6 4 3 6 10 12 12 12 13 14 15 13 9 7 8 11 12 13 12 11 11 12 13 14 15 15 13 10 9 10 11 11 11 10 8 8 8 10 10 10 8 6 6 7 7 6 5 5 5 7 8 9 8 8 8 7 8 10 11 12 14 16 17 17 13 10 10 10 11 9 7 8 9 10 10 10 8 7 7 7 7 6 6 8 9 11 12 10 7 6 5 5 6 7 7 6 4 1 1 2 6 10 15 18 20 23 25 24 22 18 13 10 9 7 7 6 5 4 4 6 9 11 13 14 14 14 15 15 15 nan
nan 10 10 8 7 7 8 11 14 17 17 13 9 4 1 4 12 24 35 41 42 38 28 19 15 12 10 9 9 9 10 10 10 10 10 10 9 9 9 9 11 12 14 15 14 11 7 3 1 1 3 5 6 7 8 9 10 11 13 14 14 14 14 13 12 11 9 9 8 9 10 12 13 14 13 10 8 7 10 14 17 17 16 17 18 18 15 10 7 8 9 11 11 10 9 9 9 9 10 11 13 14 15 15 14 14 13 12 12 11 10 9 10 11 10 9 8 7 8 7 7 7 6 5 6 7 8 9 9 9 9 9 9 10 11 12 14 14 13 11 11 12 12 12 12 11 12 13 14 13 11 9 8 7 7 6 6 6 6 7 8 10 10 8 6 5 5 5 6 6 5 3 2 1 2 4 8 13 18 21 24 25 25 22 18 13 9 7 5 4 3 1 1 3 6 10 14 15 15 14 15 14 14 13 nan
nan 9 10 9 8 7 7 10 14 17 17 14 9 5 1 4 12 22 32 39 40 37 30 22 16 13 11 10 9 10 10 10 10 11 11 10 10 9 9 9 9 11 13 14 12 9 7 4 3 3 4 4 5 6 8 9 10 12 14 15 15 15 14 12 11 10 9 9 9 8 7 7 10 13 16 16 14 14 15 18 20 20 19 18 19 18 15 12 11 11 11 11 10 9 8 6 5 5 6 8 12 15 16 16 15 13 12 12 12 13 13 13 12 12 11 9 9 8 8 8 8 7 7 5 5 6 8 10 11 11 11 11 10 9 9 9 10 10 10 11 13 13 13 12 12 14 16 17 16 13 11 8 7 6 6 6 6 6 5 5 6 8 10 10 8 6 5 5 6 7 8 8 7 6 5 6 8 11 15 19 21 22 22 20 16 12 8 4 1 -2 -3 -4 -2 3 8 12 15 16 15 15 15 14 13 13 nan
nan 9 10 9 8 7 7 9 13 16 17 14 10 5 3 3 11 22 31 37 40 36 30 23 17 14 12 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 11 10 7 5 5 5 5 5 5 5 6 7 9 10 12 15 16 17 17 16 13 11 10 10 9 8 7 5 6 9 13 17 19 18 17 17 18 19 18 17 16 15 14 12 11 12 13 13 12 10 9 8 6 5 4 6 9 13 16 14 11 9 6 6 6 9 11 13 14 14 14 12 11 10 9 8 7 7 7 6 5 4 6 8 10 12 12 12 11 9 9 9 9 9 10 10 11 12 12 12 12 13 16 19 18 16 12 9 6 5 5 5 7 8 7 6 4 5 8 11 12 10 8 7 7 8 10 10 10 9 8 6 7 10 14 17 19 19 19 18 16 14 11 7 1 -4 -7 -9 -6 -0 6 10 13 15 14 14 14 14 13 13 13 nan
nan 9 10 10 9 8 8 9 12 15 17 15 11 7 3 4 10 21 31 37 40 37 31 24 19 15 12 11 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 8 7 6 4 4 5 7 7 7 6 6 7 8 10 13 15 17 19 19 19 17 14 12 10 8 7 6 5 5 8 12 16 18 19 18 17 17 16 15 13 12 11 9 8 8 9 11 12 12 11 10 8 7 7 7 10 14 17 16 10 4 1 -1 -2 -1 3 7 10 12 14 14 12 11 11 10 8 6 5 6 6 5 5 6 7 9 11 12 11 10 9 8 9 11 13 14 13 11 10 10 10 10 12 15 18 18 14 11 8 6 3 3 5 8 10 9 6 3 4 9 12 13 13 12 11 11 11 11 10 8 5 3 1 4 12 19 23 24 21 17 13 11 9 8 5 1 -5 -10 -11 -6 2 9 12 14 13 11 10 11 12 13 13 12 nan
nan 9 10 10 9 8 8 8 11 15 17 15 12 7 4 5 11 21 31 37 40 38 31 24 19 15 13 11 10 10 10 11 11 11 12 12 12 12 12 11 10 9 8 7 5 3 3 3 5 8 9 8 7 7 7 8 10 12 15 17 19 21 22 22 19 15 11 7 4 3 3 4 6 9 14 17 18 17 17 16 16 15 14 12 11 10 9 7 6 7 9 11 11 10 8 7 8 11 16 21 22 16 7 -1 -5 -6 -6 -4 -0 4 8 10 11 11 11 11 12 10 7 5 4 4 5 6 6 6 7 9 10 11 11 10 10 10 12 15 18 17 14 10 8 7 8 8 10 12 14 14 13 11 9 7 4 5 7 10 12 9 5 2 4 9 12 13 14 13 13 13 12 11 9 6 3 0 -2 2 12 21 27 28 22 15 8 4 3 4 4 2 -4 -10 -11 -6 3 10 14 14 11 9 8 9 10 11 12 12 nan
nan 8 9 10 10 9 8 8 11 14 17 15 12 8 4 5 12 22 32 38 40 38 32 25 19 15 13 11 10 10 10 10 11 11 12 12 13 13 13 13 11 10 8 7 4 2 1 2 4 8 9 8 7 7 7 7 9 11 14 16 18 20 22 23 23 19 14 9 5 3 3 4 5 7 11 15 17 18 16 16 16 16 17 17 17 17 15 12 9 8 8 9 9 8 7 8 11 16 21 26 24 15 4 -4 -7 -6 -4 -1 2 5 7 9 9 9 9 10 12 10 8 6 5 5 6 7 7 7 8 10 11 12 12 11 11 13 15 19 20 17 13 9 7 6 6 7 8 10 12 12 12 10 10 9 8 9 11 13 13 9 4 2 5 10 13 14 14 12 11 11 11 10 9 8 7 6 3 4 12 20 26 27 22 13 4 -2 -2 1 4 5 -1 -7 -8 -5 2 9 13 13 11 8 8 9 9 10 11 11 nan
nan 8 9 10 10 9 8 8 10 14 16 16 12 8 5 4 12 24 33 39 41 38 32 25 19 15 12 11 10 9 9 10 10 11 12 13 14 14 14 14 13 12 10 8 5 2 0 1 3 6 8 8 7 6 6 7 8 10 13 15 18 20 22 24 25 23 20 15 11 8 8 8 7 8 11 14 16 16 15 14 14 15 16 17 19 21 21 19 16 14 13 11 10 9 10 11 14 19 23 26 22 11 1 -5 -6 -2 3 6 8 9 9 9 8 8 8 9 10 11 9 8 7 7 8 8 9 9 10 12 13 13 12 12 12 13 15 19 19 15 11 8 6 6 5 5 6 10 13 14 13 12 11 12 12 13 14 13 11 6 2 3 6 10 14 16 15 13 9 7 7 9 10 12 13 12 10 9 14 19 23 24 19 10 1 -4 -4 0 4 8 4 -1 -3 -1 3 8 12 12 10 9 9 9 9 10 10 11 nan
nan 8 9 11 11 10 9 9 10 14 17 16 13 8 5 6 12 24 34 40 42 39 32 24 18 15 12 11 10 9 9 9 10 10 11 12 13 14 14 14 14 13 11 9 6 3 1 0 2 4 7 8 7 6 6 6 7 9 12 15 17 20 22 24 26 27 26 23 20 18 17 14 11 10 11 13 15 14 13 12 12 12 12 12 15 20 22 23 22 20 18 16 14 15 17 18 19 20 22 21 16 7 -2 -4 -2 4 12 16 15 13 10 8 7 7 7 8 10 10 10 9 8 8 9 9 10 10 11 12 13 13 12 11 11 12 13 15 15 13 12 11 9 7 5 3 5 9 14 16 17 16 14 14 14 15 15 13 10 4 1 2 5 9 14 18 18 14 8 3 3 5 8 12 15 17 17 17 19 21 22 22 17 8 1 -3 -4 0 5 9 9 5 3 3 5 8 11 11 11 10 10 10 10 10 10 11 nan
nan 8 10 11 11 10 9 9 10 13 17 16 13 9 5 6 13 23 34 40 41 39 31 23 18 14 12 11 10 9 9 9 10 10 11 12 13 13 14 14 13 13 12 10 7 4 2 1 2 5 7 9 8 7 6 6 6 9 11 14 16 18 20 21 24 26 26 26 24 22 20 16 14 13 12 12 13 12 11 10 10 11 11 11 12 14 17 18 19 18 17 16 16 19 23 25 24 22 20 17 12 6 -0 -2 2 9 18 23 20 16 11 7 6 7 8 8 9 9 9 9 8 8 8 8 9 9 10 10 11 10 10 9 9 10 11 11 11 12 14 14 13 9 5 3 5 9 13 16 17 16 14 12 11 11 13 13 11 6 1 1 5 9 15 20 20 15 8 1 -2 -1 2 6 13 19 22 22 22 22 22 20 15 7 2 -2 -3 0 6 10 11 9 7 7 7 9 10 11 11 12 12 11 10 10 10 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
273 250 219 214 226 238 241 251 272 276 287 295 297 288 269 261 267 264 254 239 221 210 221 232 222 206 192 184 176 153 129 123 122 109 95 86 79 71 63 60 60 59 55 57 63 53 52 46 37 36 37 35 33 33 36 45 55 61 56 57 58 56 51 46 42 39 37 39 42 45 43 37 30 29 27 24 21 16 10 7 6 7 8 7 8 10 13 15 14 13 11 10 10 10 9 8 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 51 71 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
323 350 342 300 255 242 242 251 266 276 295 305 299 283 269 257 247 240 225 217 216 214 221 238 236 224 213 207 198 179 157 146 147 133 115 99 82 67 60 61 60 54 48 47 51 50 55 49 45 44 44 40 36 35 37 40 43 46 50 57 60 55 52 49 44 40 38 39 43 44 41 33 27 25 23 19 16 13 10 8 7 6 6 5 6 10 14 16 15 13 12 11 10 10 9 8 7 6 5 4 4 4 3 3 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 22 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
248 327 379 387 369 332 305 290 288 299 315 320 304 276 258 246 232 218 203 197 202 199 205 221 227 222 216 216 215 202 187 180 173 157 134 111 87 70 64 60 56 48 44 40 39 43 51 53 51 54 56 53 46 40 39 38 37 35 39 51 60 55 53 53 50 43 39 40 45 44 40 32 27 22 19 17 16 14 11 9 7 7 6 6 6 9 13 16 15 13 12 11 10 10 9 8 7 6 5 4 4 3 3 3 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
78 148 227 308 377 386 381 369 366 364 353 339 321 291 267 246 225 210 199 188 183 174 180 194 205 210 215 220 217 207 197 191 185 167 140 117 93 76 66 59 53 46 41 38 36 38 45 53 55 58 61 60 57 52 47 43 39 33 34 45 55 54 53 53 55 49 41 39 42 42 42 34 27 20 17 18 18 16 12 9 8 7 7 6 6 9 14 16 16 15 13 11 11 10 10 9 8 6 5 4 4 4 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 39 58 108 173 256 322 362 389 394 372 347 321 291 249 227 210 202 192 174 160 148 149 159 178 195 207 212 204 190 186 184 174 156 134 117 97 81 66 57 51 47 42 42 37 37 43 50 52 50 57 61 63 63 58 50 44 38 38 48 54 55 53 51 53 49 40 38 39 42 42 35 26 16 16 19 20 17 13 10 9 7 7 6 6 9 15 18 18 16 14 12 11 10 9 8 7 6 4 4 4 4 4 4 4 4 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
51 32 24 38 55 112 176 239 302 351 357 336 302 258 223 195 175 162 151 146 140 135 135 144 165 182 192 195 189 177 171 173 163 145 131 116 98 85 70 62 56 51 46 41 38 38 45 50 51 51 56 61 67 70 67 59 50 45 50 62 64 61 58 54 49 44 38 39 42 45 42 36 29 18 18 21 21 18 13 10 9 8 7 6 7 10 15 17 18 15 13 12 10 10 8 7 7 6 5 4 4 4 4 4 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
89 57 33 25 30 45 71 114 173 243 295 315 313 289 241 204 184 168 146 139 139 141 143 151 167 171 181 187 186 179 172 168 161 149 139 120 104 95 84 80 72 64 55 49 46 45 47 47 49 53 57 62 68 72 72 67 59 56 60 67 71 67 65 60 53 46 42 43 49 52 48 40 31 24 22 21 19 16 13 11 9 8 7 6 8 11 14 16 15 14 13 11 10 9 8 7 7 6 5 4 4 4 4 4 4 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
130 103 67 40 24 21 25 42 62 109 180 253 314 338 280 228 214 213 201 181 172 171 173 179 184 183 187 187 187 188 188 183 168 150 142 124 116 106 99 99 92 83 71 59 53 51 50 50 51 55 59 62 66 71 73 71 65 63 66 69 69 70 69 66 58 51 48 49 53 56 50 40 31 26 24 23 19 16 14 13 10 8 6 7 10 12 15 15 14 13 11 10 10 8 7 7 6 5 5 4 4 4 4 4 4 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
110 122 109 98 71 44 30 25 21 32 74 140 213 264 237 199 207 221 227 215 203 200 202 208 207 204 203 205 198 176 181 188 181 158 135 118 115 108 104 106 104 98 86 70 59 54 52 51 50 47 51 57 64 71 75 74 70 66 67 67 67 68 67 67 62 55 52 53 55 55 50 38 29 24 23 23 20 17 16 14 11 9 7 8 10 11 14 13 12 11 10 9 9 8 7 6 5 5 5 4 4 4 4 4 4 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
59 82 100 121 121 102 74 48 34 29 40 57 72 83 118 136 161 190 207 199 193 195 199 200 201 199 189 166 144 132 135 153 156 145 126 103 87 96 103 104 104 97 84 73 64 56 55 59 61 54 53 54 64 74 78 76 71 66 66 65 64 64 65 65 62 57 54 55 55 53 47 38 31 23 22 21 17 16 15 13 11 9 7 7 9 11 13 11 9 8 8 8 8 8 7 6 5 5 5 5 4 4 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 44 63 85 104 118 109 86 60 44 48 57 69 91 94 86 82 94 138 140 145 155 162 160 162 167 170 163 140 108 90 108 124 120 108 88 69 73 86 90 90 80 66 57 53 46 45 53 60 61 60 62 67 77 83 80 71 61 55 56 60 64 66 65 61 59 56 56 55 51 43 35 29 24 22 23 20 16 14 12 10 9 7 7 8 10 12 10 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 38 45 58 71 89 105 101 82 65 63 71 78 83 85 67 50 48 65 85 90 102 110 114 118 122 115 92 98 80 63 67 73 69 71 69 60 51 52 62 70 63 53 45 39 34 30 38 52 60 66 70 70 69 75 74 65 51 43 47 60 67 68 66 62 60 59 57 53 48 40 33 27 24 22 22 19 16 14 12 9 8 7 8 9 11 12 10 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
104 72 50 43 51 70 92 104 101 91 91 97 106 109 100 81 68 56 56 62 61 63 68 73 80 83 78 65 65 52 41 41 44 45 46 51 53 49 47 50 51 45 39 34 29 27 29 32 36 55 66 71 68 59 53 54 50 42 39 46 58 65 66 67 66 64 62 57 50 44 39 34 29 24 20 18 16 15 14 11 8 7 7 9 11 12 11 9 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
131 114 84 56 49 64 88 108 118 117 119 129 142 146 130 106 93 77 67 59 54 54 54 59 66 67 62 53 47 47 33 32 33 37 44 52 54 52 54 53 47 37 29 24 24 28 34 39 44 51 61 67 62 56 51 47 42 38 36 39 49 59 64 67 68 67 63 56 48 42 37 31 28 20 15 13 13 15 15 11 9 7 8 12 14 13 11 9 8 8 7 7 7 6 5 5 5 5 5 5 5 5 5 5 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
131 125 111 92 75 73 82 97 114 119 129 145 157 161 150 133 119 98 90 78 73 67 60 59 64 69 67 56 48 46 38 35 39 40 45 52 56 57 57 60 54 41 28 22 27 37 49 55 51 48 50 59 54 54 53 49 43 38 34 34 45 57 64 65 66 67 64 55 47 40 35 29 24 14 14 16 16 17 17 13 9 8 9 12 14 12 11 9 8 7 7 6 6 6 5 6 5 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
121 114 107 105 101 94 84 68 61 76 103 132 147 141 138 147 161 168 162 140 124 98 73 61 62 69 72 66 62 56 48 43 44 37 38 46 56 64 69 73 68 54 38 29 32 42 58 79 88 63 48 52 50 50 48 47 44 40 37 40 48 59 64 66 69 70 64 54 46 40 33 26 19 13 16 18 19 20 19 15 10 9 11 13 12 11 9 9 7 7 6 6 5 6 6 5 5 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
116 106 94 90 95 99 94 77 65 62 80 105 121 119 117 138 183 224 234 215 184 142 101 80 77 83 87 88 87 76 65 54 43 35 35 44 54 69 80 82 80 68 51 42 41 45 54 73 95 75 58 53 50 48 42 41 40 39 40 44 52 63 65 66 69 70 65 55 46 39 30 22 18 16 17 19 19 20 19 15 11 10 12 12 10 9 8 7 7 6 5 5 5 5 5 6 5 5 5 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
116 107 93 82 83 92 99 100 99 95 97 103 107 108 111 124 161 220 253 252 219 169 126 101 97 103 112 118 106 87 79 70 59 49 44 47 55 67 75 79 78 74 62 57 54 53 56 66 81 80 73 61 53 46 41 38 36 37 41 48 56 64 64 63 67 68 63 54 45 37 28 22 19 19 18 18 16 18 18 15 12 12 12 11 9 9 7 6 6 5 5 5 5 5 5 5 5 4 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
111 106 95 85 81 89 101 109 114 117 120 127 132 127 118 114 127 169 225 240 204 161 130 112 107 109 110 109 104 91 81 74 68 60 54 53 58 64 65 70 71 69 65 64 64 62 57 54 56 64 73 71 69 62 53 44 39 37 42 50 58 63 62 63 67 66 60 51 41 31 22 18 17 19 18 16 16 18 16 15 14 13 12 9 7 7 6 5 5 5 4 4 4 4 4 4 4 3 3 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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98 102 96 96 100 107 119 131 140 144 145 145 139 123 106 93 94 113 133 132 111 115 122 123 118 116 116 109 98 94 86 73 62 61 63 63 63 63 65 67 64 64 61 60 59 57 53 49 48 52 58 67 74 72 68 61 54 50 50 54 58 61 63 65 65 59 52 41 30 22 19 16 14 14 16 18 17 15 13 13 14 12 9 7 6 5 3 3 3 3 3 3 2 2 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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