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 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 11 14 16 15 13 13 15 17 18 16 10 2 -2 -3 -2 1 3 4 6 8 9 11 13 14 15 14 11 8 7 7 8 9 10 10 9 8 7 7 7 7 8 9 10 11 13 14 14 14 12 11 10 10 12 14 15 15 13 11 9 9 10 11 12 14 16 19 20 20 19 16 13 11 9 8 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 8 8 10 10 9 nan
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nan 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 10 11 13 13 12 12 12 12 13 13 11 8 3 -0 -0 2 4 5 7 9 11 13 14 15 17 18 17 14 11 7 5 4 5 7 9 10 11 10 8 7 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 8 9 9 8 7 6 5 6 7 9 12 15 16 14 11 8 6 4 2 1 -0 -1 -0 -0 -0 -1 -1 -1 1 3 4 5 5 3 1 -1 -4 -5 -6 -7 -9 nan
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nan 9 8 7 6 6 6 7 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 12 12 14 18 23 28 28 24 19 13 9 8 8 9 11 14 15 15 14 14 13 14 13 13 10 8 9 13 17 21 22 23 23 22 19 15 10 6 7 9 11 11 9 6 4 3 4 5 7 8 8 7 5 4 4 5 5 5 5 6 7 8 10 11 13 14 16 16 16 14 11 9 7 7 8 11 12 13 12 11 10 9 8 8 7 7 6 6 6 8 10 12 15 16 15 14 12 10 9 8 7 7 5 3 1 -0 -0 1 3 5 8 9 9 9 8 8 8 8 8 9 9 10 11 11 10 8 6 5 5 5 6 7 7 7 8 9 11 13 14 15 16 17 19 20 20 19 17 15 14 13 11 10 9 8 9 13 19 25 30 32 31 26 20 nan
nan 10 8 7 6 6 6 7 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 12 13 17 24 28 30 26 19 13 9 7 7 9 11 14 16 15 14 13 13 14 13 12 11 10 12 15 19 24 26 25 23 19 16 12 8 5 6 9 11 11 10 7 6 5 6 7 8 9 10 9 6 5 5 5 6 7 7 7 8 9 9 10 10 11 12 13 13 11 9 7 7 8 9 11 12 12 11 10 9 8 7 8 9 8 8 7 7 8 10 13 15 16 16 14 13 11 10 9 9 8 7 5 4 3 2 2 3 4 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 6 5 6 7 10 13 16 17 18 19 18 17 16 14 13 11 10 7 5 4 6 12 20 30 36 39 37 30 22 nan
nan 10 9 8 7 6 7 7 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 13 17 22 27 27 25 18 11 8 6 6 8 11 14 15 14 13 13 13 13 13 13 12 12 13 14 16 19 21 21 19 15 11 8 6 4 5 8 9 10 10 9 8 8 9 9 9 10 11 10 9 7 6 7 9 10 11 11 10 9 9 8 8 9 9 10 10 9 7 7 7 9 10 11 11 10 10 9 7 7 6 7 8 8 8 7 8 9 10 12 14 15 15 14 13 12 11 10 10 9 8 6 6 5 6 6 5 4 5 6 7 8 8 6 5 5 5 5 5 5 5 6 8 9 9 9 9 9 9 9 9 8 6 5 4 6 10 14 17 19 19 19 18 16 15 14 12 10 7 4 1 0 4 10 19 30 37 40 37 31 24 nan
nan 9 9 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 13 17 22 26 26 22 17 10 6 6 6 7 10 13 14 14 14 13 13 13 14 13 13 13 12 11 12 14 16 16 13 10 7 4 4 5 7 8 9 9 10 11 12 12 10 9 9 9 10 10 10 9 8 9 10 12 13 13 11 10 8 8 7 7 7 7 7 6 6 6 8 10 11 12 11 10 9 8 7 6 6 6 7 8 7 7 8 9 10 12 13 13 13 14 14 13 11 10 9 9 8 7 6 7 8 10 8 7 6 5 6 8 8 7 5 5 5 5 5 6 6 7 8 9 10 10 9 9 8 7 7 7 7 7 8 10 13 17 20 20 20 19 17 15 14 12 11 9 6 3 1 -0 3 9 16 24 32 34 32 29 24 nan
nan 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 13 17 22 28 30 26 19 12 7 6 6 7 9 13 15 16 15 14 14 13 14 14 14 13 11 11 12 13 13 12 9 6 4 4 5 8 11 12 11 11 12 14 15 13 10 8 8 8 8 9 9 9 9 10 11 11 12 12 12 11 10 9 8 7 7 6 5 5 5 7 8 10 12 12 11 9 8 7 7 6 6 6 7 7 7 7 7 8 10 11 11 10 11 13 15 15 12 9 9 9 9 8 7 8 10 12 12 10 7 6 5 6 7 7 6 5 6 6 7 8 8 8 9 9 9 9 8 6 5 4 5 6 8 11 14 16 18 20 22 22 21 19 16 13 11 10 9 7 4 2 2 2 4 9 13 19 25 28 27 25 22 nan
nan 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 16 23 29 33 31 23 15 9 7 7 7 9 13 16 18 17 16 15 14 14 15 14 13 12 12 13 13 12 9 7 5 5 6 8 12 15 16 15 14 15 16 16 14 10 8 8 8 8 8 8 9 8 8 9 9 10 12 13 13 12 10 9 8 7 6 6 6 6 7 9 11 12 12 11 9 7 6 6 6 6 6 6 7 7 7 7 8 9 10 8 8 8 11 13 14 12 10 9 9 9 9 9 10 11 13 13 12 9 7 5 5 6 6 6 6 6 7 9 9 8 8 8 8 8 9 8 6 5 4 5 7 9 13 16 18 20 21 22 22 20 18 15 12 9 7 5 3 1 0 2 4 7 10 14 18 22 24 24 23 21 nan
nan 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 15 22 29 32 33 26 17 11 7 7 8 10 12 16 18 18 18 17 15 15 15 15 14 14 15 15 15 11 7 5 5 7 10 12 15 17 17 17 16 16 17 16 13 11 11 11 10 9 8 8 8 7 7 6 7 9 13 14 14 12 10 8 7 6 6 7 7 8 9 10 11 12 12 11 9 7 6 6 7 6 6 7 7 8 8 8 8 9 9 8 8 8 9 11 12 11 11 10 9 9 9 10 11 12 13 13 12 10 8 7 6 7 7 7 7 7 7 9 10 9 8 7 7 7 8 8 8 8 8 8 10 12 16 18 19 19 19 19 19 18 16 13 9 5 2 -1 -3 -4 -2 2 5 8 12 15 18 21 22 22 21 20 nan
nan 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 15 21 28 31 32 27 17 9 7 7 8 11 13 15 18 19 19 18 16 15 15 15 15 15 16 16 15 11 7 5 5 8 11 14 15 16 16 15 15 15 14 12 10 10 12 13 12 10 8 7 7 7 6 6 7 11 14 15 12 8 6 4 4 4 5 6 7 8 9 10 10 11 12 11 9 7 7 7 7 7 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 8 9 11 12 13 12 11 10 8 8 7 8 9 9 8 7 7 9 11 11 10 9 8 7 7 8 8 9 9 10 12 16 21 22 20 18 17 16 16 15 13 10 6 1 -5 -8 -9 -6 -0 4 7 10 13 15 17 19 21 21 20 19 nan
nan 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 15 20 26 31 31 26 16 7 5 5 7 10 12 14 17 18 18 17 16 16 16 16 16 15 15 14 13 11 8 5 5 7 10 13 14 14 14 13 12 11 10 8 7 8 10 12 12 11 9 7 6 6 7 8 10 14 16 15 9 4 1 1 1 2 2 4 6 8 10 10 10 10 12 11 9 7 6 6 7 7 7 7 8 9 10 10 10 10 10 10 11 13 13 13 11 10 10 11 11 10 9 9 9 11 11 12 11 10 8 8 8 8 9 8 8 7 7 10 12 13 13 13 12 11 10 8 8 7 7 8 11 18 25 27 24 20 16 13 12 10 8 6 3 -2 -9 -13 -12 -6 3 8 11 12 12 14 15 18 19 20 19 18 nan
nan 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 14 19 24 29 30 24 16 8 5 4 5 7 10 13 15 16 15 14 14 14 16 16 15 13 12 11 11 11 9 7 6 6 8 11 13 12 12 12 12 12 11 10 8 8 8 10 11 11 10 7 5 5 8 10 14 18 19 14 7 1 -1 -0 1 2 2 3 6 8 9 9 9 10 11 10 8 7 5 6 7 7 7 8 9 10 10 11 10 10 10 11 13 15 16 15 12 10 10 10 12 12 12 11 10 10 10 11 11 11 10 9 9 9 9 8 7 6 8 10 12 13 13 13 13 13 12 11 9 7 6 6 9 17 26 30 29 24 17 12 8 4 3 3 2 -1 -9 -14 -14 -8 2 9 12 12 12 13 14 16 17 18 18 17 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 13 18 24 28 30 25 18 12 7 5 4 5 7 11 14 14 14 13 12 13 15 16 15 13 11 11 12 13 12 9 7 6 7 9 10 10 11 12 14 15 15 13 11 9 9 9 10 11 9 6 5 6 9 13 17 22 21 13 4 -2 -3 -1 2 4 5 6 8 9 9 8 9 10 11 10 8 7 6 6 7 8 8 8 9 10 11 11 10 10 10 11 13 16 17 15 12 9 8 9 10 13 14 14 13 12 11 11 11 12 11 11 10 10 9 8 6 6 8 11 13 13 13 11 11 11 12 12 10 9 7 7 9 18 27 32 32 27 19 11 4 -0 -1 1 2 1 -6 -13 -13 -9 -1 6 10 12 12 12 13 15 16 17 17 16 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 11 12 17 23 29 32 29 21 14 10 6 4 4 5 9 12 13 14 14 14 15 17 18 18 16 15 15 16 17 16 13 9 7 6 6 7 8 8 10 12 14 16 15 13 12 11 12 12 12 10 8 7 8 11 15 19 22 20 10 1 -4 -5 -1 5 9 11 11 11 10 9 8 8 10 11 11 9 8 8 8 9 9 8 9 9 10 11 11 11 10 10 11 12 14 15 13 10 7 6 6 8 10 14 17 17 17 15 13 12 12 13 12 12 11 10 8 6 6 8 10 13 14 14 12 9 7 7 8 9 9 8 9 11 19 28 32 33 28 18 8 2 -2 -2 1 3 4 -2 -10 -11 -8 -3 4 9 12 13 13 14 14 15 15 16 16 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 12 15 22 29 32 32 24 15 10 7 5 4 5 8 11 14 15 16 18 20 22 24 23 22 20 19 19 18 17 15 12 9 6 5 5 6 6 8 9 10 12 13 13 14 14 15 15 15 13 13 13 13 13 15 18 19 16 7 -1 -5 -4 1 8 14 16 15 12 10 9 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 12 11 9 7 6 5 6 8 12 17 19 19 17 14 13 14 14 13 13 12 11 9 5 4 4 6 10 14 15 13 8 4 2 3 4 5 7 10 13 19 26 29 29 24 15 6 0 -2 -2 2 5 5 2 -4 -7 -6 -3 3 9 11 13 14 14 15 15 15 15 15 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 12 15 20 27 32 31 24 16 10 8 6 5 5 8 11 14 16 18 20 21 23 24 23 21 19 17 15 14 15 15 14 12 9 8 7 7 7 7 8 8 9 10 12 13 13 14 14 14 15 18 19 18 17 16 17 17 13 7 0 -3 -1 4 11 17 18 17 14 11 9 9 9 10 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 9 10 9 9 8 6 5 7 10 13 16 16 15 13 12 12 11 11 11 12 12 10 6 3 2 3 6 12 15 13 9 4 -0 -2 -2 -1 2 7 11 16 21 24 23 20 13 5 1 -1 -1 2 5 6 5 1 -2 -2 -1 3 8 12 13 14 15 15 15 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
34 29 26 24 24 24 24 25 27 27 29 29 32 38 41 40 35 30 27 28 31 33 34 28 22 20 22 23 23 18 15 17 21 22 16 11 7 6 6 6 7 7 7 7 8 13 15 16 17 19 20 20 20 19 19 20 20 20 16 15 14 15 15 15 14 13 12 12 11 11 10 9 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 1 0 0 1 38 127 245 385 345 181 52 4 0 0 0 0 1 6 12 16 33 102 198 264 294 311 324 326 312 289 268 251 236 230 216 197 181 169 164 186 247 343 492 693 887 1016 1072 1096 1138 1179 1186 1214 1258 1263 1213 1104 995 964 961 965 963 962 975 993 963 822 661 516 458 459 466 455 436 416 393 354 313 268 221 176 134 98 73 50 30 10 0 0 0 0 0 0
37 32 25 24 24 25 26 26 26 27 28 28 33 39 40 38 33 28 26 27 30 32 31 27 21 19 20 22 21 18 14 14 14 16 16 15 11 7 5 5 6 6 6 8 9 13 15 16 16 17 19 20 19 18 18 19 19 20 19 18 18 17 15 15 14 13 12 11 11 10 9 8 8 8 8 9 7 6 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 48 173 330 410 282 93 16 0 0 0 0 0 0 0 0 11 61 147 234 284 306 320 329 327 317 310 303 287 263 258 249 230 208 183 162 161 199 279 400 557 718 840 912 959 1018 1075 1078 1091 1137 1162 1126 1041 968 959 986 1008 1007 986 968 950 897 757 581 442 398 414 439 442 423 399 376 335 291 251 213 173 132 94 66 47 27 8 0 0 0 0 0 0
24 26 25 25 25 26 27 28 29 31 33 34 34 36 35 32 29 27 26 26 27 26 28 28 22 17 17 19 19 17 14 13 10 10 13 16 13 8 5 5 6 6 7 8 10 13 14 17 17 18 19 19 19 18 19 19 19 20 19 17 17 16 14 13 13 12 12 11 10 8 8 8 8 9 8 7 6 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 2 1 0 0 0 0 84 225 359 357 185 26 1 0 0 0 0 0 0 0 4 34 105 198 271 307 323 335 337 323 310 319 335 333 309 297 288 265 229 193 166 159 186 251 329 400 472 550 631 718 811 884 916 932 975 1023 1029 988 946 943 961 965 950 920 885 830 736 594 446 369 377 401 406 387 356 322 294 266 236 211 188 164 132 96 64 45 24 6 0 0 0 0 0 0
24 24 24 24 25 26 29 29 31 34 35 35 31 30 26 25 26 27 26 23 22 20 23 25 23 20 18 18 22 20 14 10 10 11 12 15 11 8 6 5 6 7 9 10 11 12 14 16 16 20 19 19 19 19 19 19 18 19 17 16 16 15 13 13 12 12 11 10 9 8 9 9 9 8 7 6 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 2 1 0 0 0 0 5 149 282 343 264 108 5 0 0 0 0 0 0 0 4 23 70 153 244 303 330 341 350 345 316 294 311 348 362 348 331 318 290 249 206 174 159 168 199 223 230 268 316 390 495 614 722 797 832 898 974 991 948 899 877 863 828 796 774 730 645 523 405 338 329 368 381 362 324 286 258 237 216 194 174 160 149 132 109 84 60 32 14 4 0 0 0 0 0
27 26 26 25 26 28 29 29 29 29 29 27 24 21 21 22 23 24 23 21 18 16 17 22 22 21 20 18 18 16 11 8 8 10 12 13 9 7 6 6 7 8 10 12 12 13 14 16 17 19 19 18 18 18 18 18 17 17 16 15 15 14 14 13 12 11 10 10 9 9 9 9 8 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 2 1 0 0 0 0 30 173 331 306 176 55 0 0 0 0 0 0 0 0 13 48 103 176 259 312 335 344 341 318 277 255 285 341 367 366 356 346 323 286 240 196 167 164 180 196 207 237 254 279 348 458 592 723 813 922 1000 968 885 819 781 742 684 642 621 565 463 350 280 281 319 344 331 306 278 260 249 235 211 183 158 141 132 128 128 127 115 83 51 25 11 5 3 1 0
28 29 29 25 26 26 26 26 26 26 22 19 17 17 19 19 21 20 19 17 16 15 15 17 18 17 16 13 9 8 6 7 8 9 10 9 7 6 7 7 7 8 11 13 14 15 18 17 17 18 18 18 18 18 17 16 16 15 15 13 14 13 12 12 12 11 10 9 9 9 8 8 6 4 5 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 2 0 0 0 0 0 32 145 296 224 93 21 0 0 0 0 0 0 0 0 19 53 91 140 203 251 274 277 259 224 189 190 241 323 359 365 365 364 352 327 286 234 196 190 209 231 247 263 279 272 281 339 477 675 874 1011 1031 928 826 770 729 668 591 538 512 448 347 263 240 270 304 304 283 285 292 293 281 254 217 181 156 136 118 112 123 150 177 172 132 86 64 52 36 17 4
31 32 31 28 28 22 20 22 22 21 18 15 15 16 18 17 17 17 16 15 14 14 13 13 14 12 11 9 7 6 6 6 7 6 6 6 6 6 7 7 7 9 10 11 13 16 22 19 17 17 17 17 17 17 16 15 15 15 13 12 12 12 11 11 10 10 9 8 9 9 8 6 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 1 29 99 162 110 27 4 0 0 0 0 0 0 0 0 13 26 40 61 91 120 131 126 112 94 90 115 180 276 327 339 347 358 361 349 319 264 223 214 225 242 261 275 279 271 255 274 397 617 846 983 994 893 819 796 761 678 579 518 491 420 341 290 280 287 286 274 272 304 335 339 313 264 211 178 167 146 107 83 82 108 149 179 176 158 152 143 115 73 33
32 31 29 27 25 20 16 16 17 17 16 15 16 17 16 15 15 17 17 17 15 13 12 11 10 10 9 9 8 7 7 7 6 5 5 5 6 7 7 8 9 11 11 12 13 17 21 18 18 18 18 18 17 16 15 15 15 14 13 13 12 11 11 10 9 9 9 9 8 8 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 14 44 65 62 32 5 0 0 0 0 0 0 0 0 0 0 0 4 10 16 21 22 18 16 17 26 46 94 170 240 273 296 319 333 335 316 271 225 212 210 213 221 233 241 241 234 259 379 583 780 883 869 828 834 861 844 757 641 557 510 419 387 393 374 336 297 277 290 335 374 363 319 268 227 207 207 182 110 62 44 52 81 119 148 167 191 212 202 151 87
29 26 24 23 22 18 13 12 14 15 15 15 15 14 12 12 14 15 16 17 15 13 10 9 9 8 7 6 5 6 7 6 5 4 5 5 7 7 7 9 12 13 12 13 15 18 19 17 16 16 18 18 17 16 15 14 13 13 13 13 12 11 10 9 9 9 9 9 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 2 1 0 0 0 0 5 52 65 42 20 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 26 62 111 159 206 248 271 278 267 238 203 185 179 182 187 193 199 209 227 276 393 549 658 692 697 738 822 889 880 783 661 541 433 351 388 470 468 411 357 338 357 399 426 412 381 347 320 312 305 257 146 58 25 24 49 90 136 177 212 232 212 157 97
19 19 19 19 16 14 13 13 14 15 14 13 12 12 11 12 14 16 18 17 14 12 11 13 9 7 6 6 6 6 6 6 5 4 5 6 8 8 8 12 15 15 14 15 17 18 18 17 16 17 19 19 18 17 15 14 13 14 13 11 11 10 9 9 8 9 8 8 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 15 60 49 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 25 52 88 140 180 193 182 157 131 115 110 115 124 138 153 177 220 288 378 459 495 504 540 641 768 841 782 617 482 366 281 269 349 461 489 455 439 459 495 516 506 477 484 505 506 498 465 369 209 64 16 10 33 79 138 193 225 219 157 87 48
14 14 15 15 16 14 14 14 15 15 13 12 10 9 10 12 14 16 20 17 14 12 13 14 9 7 7 6 6 7 6 6 5 5 6 7 8 9 9 14 16 15 14 15 17 19 18 16 16 17 18 17 17 16 15 13 13 13 12 10 10 9 9 8 8 9 8 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 13 30 17 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 2 7 17 40 64 79 79 65 47 36 38 50 71 94 110 139 186 245 299 331 347 369 431 542 655 683 558 339 229 186 195 245 322 395 427 437 502 589 636 622 568 528 566 635 679 684 612 455 251 74 8 2 13 45 100 162 201 185 96 25 8
13 13 14 15 16 14 13 13 12 13 13 11 10 10 11 13 15 16 15 15 12 12 13 11 8 7 7 7 8 9 8 7 6 6 7 7 9 10 11 16 14 13 13 15 17 19 18 17 16 15 16 16 15 15 14 13 12 12 11 10 10 9 8 8 8 8 8 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 2 7 8 3 0 0 0 27 35 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 15 17 14 7 4 7 20 36 49 61 89 132 175 209 229 247 280 340 418 472 447 316 152 115 149 223 294 341 362 377 421 539 649 684 651 590 558 602 682 746 791 697 488 250 70 3 0 2 14 50 105 151 149 70 8 0
16 16 16 15 14 12 11 11 10 10 11 11 10 11 11 12 14 12 11 11 10 10 11 10 9 9 9 10 12 14 12 10 9 8 8 8 8 8 12 15 13 11 14 17 17 17 15 15 14 15 15 14 14 14 13 12 12 12 11 10 10 9 8 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 1 5 17 7 1 0 0 0 7 103 150 73 15 0 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 0 0 0 1 2 17 33 51 85 128 169 203 227 243 252 262 264 233 167 115 143 223 308 358 373 374 391 443 529 596 620 619 607 602 625 673 731 824 732 496 239 65 2 0 0 1 10 41 73 77 56 5 1
18 17 15 13 11 10 10 10 10 10 10 10 11 11 10 10 11 10 9 8 9 10 11 12 11 11 13 14 12 15 17 16 16 14 11 9 7 7 11 14 12 11 14 18 18 16 15 14 13 15 14 13 13 13 13 12 12 12 10 10 10 9 8 9 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 1 0 0 0 5 17 41 23 7 1 0 0 15 90 162 70 15 0 0 0 0 0 0 0 0 0 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 31 68 112 159 201 225 221 188 138 121 117 123 159 239 333 380 384 372 368 382 410 442 477 543 632 712 742 731 721 725 801 697 463 224 66 6 0 0 0 0 2 16 29 21 3 0
12 12 12 12 11 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 11 12 13 13 13 13 11 11 12 16 18 20 18 14 10 8 8 10 13 12 12 14 16 16 15 14 14 14 14 13 13 13 12 12 12 12 11 10 9 9 8 8 8 7 6 6 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 3 24 55 49 20 5 1 0 2 10 14 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 3 22 49 75 105 134 152 152 146 98 89 106 155 232 318 386 402 376 351 338 338 348 360 385 481 644 811 890 877 821 763 757 628 411 205 70 12 0 0 0 0 0 0 0 1 0 0
9 9 11 12 12 10 10 8 8 8 7 7 8 8 8 8 8 9 9 8 8 10 11 12 12 13 12 10 10 11 12 13 15 15 13 10 8 9 11 14 13 13 13 14 14 14 14 14 14 13 12 12 12 12 12 12 11 10 9 8 8 8 8 7 6 6 6 5 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 1 1 1 3 4 0 0 1 28 61 63 36 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 0 0 0 0 0 0 0 0 0 0 0 1 8 17 22 26 38 61 85 102 119 137 156 211 280 340 378 380 355 335 331 327 312 297 312 396 530 703 845 917 899 815 730 591 381 193 72 16 0 0 0 0 0 0 0 0 0 0
9 11 13 14 14 12 9 7 7 7 7 7 7 6 7 7 7 8 8 9 8 9 11 11 12 13 12 11 12 13 13 13 13 13 12 11 11 12 14 16 15 15 15 14 14 14 15 17 15 13 12 12 12 12 11 10 10 9 9 8 8 9 7 6 6 6 5 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 2 0 0 0 3 7 8 0 0 1 21 49 51 27 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 1 2 1 0 4 16 37 70 120 167 191 232 277 315 339 344 333 326 339 347 324 288 282 334 393 551 719 841 865 808 716 581 388 197 70 14 0 0 0 0 0 0 0 0 0 0
12 13 13 13 12 12 10 8 7 6 6 6 6 6 6 7 8 10 10 11 11 10 11 13 13 13 15 16 16 15 16 16 15 14 15 14 14 14 15 16 17 18 16 14 15 15 15 15 14 14 12 11 11 11 10 9 9 9 9 9 8 8 6 6 6 5 5 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 1 1 0 0 0 0 2 5 4 0 0 0 6 24 21 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 0 0 0 0 0 0 1 4 10 18 34 64 113 157 197 242 273 292 302 307 307 318 334 334 306 287 310 363 486 630 711 704 652 595 515 381 206 68 13 1 1 0 0 0 0 0 0 0 0
16 14 11 10 10 11 11 9 7 5 5 6 6 7 7 8 9 11 10 13 11 11 11 11 12 12 12 13 15 16 18 19 17 17 18 18 17 15 17 18 19 19 17 15 16 15 14 13 12 11 11 10 10 9 9 8 8 8 8 8 8 7 6 6 5 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 11 23 48 86 127 179 217 240 259 283 309 326 330 328 331 351 381 428 521 618 582 469 362 297 263 214 121 38 9 3 2 0 0 0 0 0 0 0 0
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