Vorticity
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nan 6 6 8 9 11 12 11 8 6 5 6 7 8 7 7 9 9 8 8 8 8 8 8 7 6 5 6 6 7 8 8 8 8 8 7 7 7 7 6 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 3 2 2 3 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 9 10 12 12 10 7 5 5 6 8 8 7 7 8 9 9 9 8 8 8 8 7 6 6 6 6 6 8 9 9 9 8 8 7 7 7 6 6 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 6 6 7 7 8 8 8 8 8 7 5 3 2 2 2 2 3 4 5 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 nan
nan 10 10 10 11 11 11 8 5 3 4 6 8 8 7 7 8 9 9 9 8 8 8 8 8 7 7 6 6 6 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 5 5 5 6 7 7 8 8 7 6 6 6 6 6 6 6 7 8 9 9 7 6 4 2 1 1 1 2 3 5 7 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 nan
nan 11 12 11 11 11 12 8 3 3 5 7 8 8 8 7 7 9 9 9 8 8 8 8 9 9 8 7 6 6 7 8 8 9 9 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 7 6 5 6 6 6 6 6 7 9 9 9 8 8 6 5 4 3 3 3 3 4 6 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 11 11 11 11 12 13 8 4 4 5 7 8 8 8 7 7 8 8 8 9 9 8 9 9 10 9 8 7 6 6 7 8 9 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 6 6 7 6 7 7 7 7 8 9 8 7 6 5 5 6 6 6 7 8 9 8 8 8 8 7 7 6 6 6 6 5 4 5 6 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 9 11 11 12 13 12 7 4 4 6 7 8 8 8 7 7 7 7 8 9 10 9 8 9 9 8 7 6 6 6 6 6 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 7 5 4 5 6 7 8 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 nan
nan 9 11 12 12 11 10 7 5 5 6 8 8 8 7 8 7 7 6 7 9 10 9 8 8 7 6 5 5 6 6 5 5 6 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 11 10 10 9 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 6 5 5 5 6 7 9 9 9 9 8 8 8 8 9 9 8 8 8 7 6 5 4 4 5 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 11 12 11 9 8 7 5 5 6 8 9 8 7 7 7 7 7 8 9 9 8 7 7 6 5 5 6 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 9 9 11 11 11 11 10 9 7 6 5 6 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 6 5 5 6 7 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 5 6 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 nan
nan 9 10 11 9 8 8 8 6 4 6 9 9 8 8 9 9 9 9 10 9 8 7 7 6 5 6 6 7 7 8 8 7 6 5 6 8 8 8 9 9 9 8 7 6 5 5 6 6 6 6 6 6 7 7 8 10 11 12 12 11 9 7 6 5 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 9 10 10 10 9 8 8 8 7 7 7 7 8 8 8 8 7 7 6 5 5 4 5 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 9 9 8 8 8 8 6 5 6 8 9 9 9 11 12 11 10 10 10 8 8 7 6 6 7 7 6 7 8 8 8 5 5 6 8 8 8 8 8 8 7 6 5 5 5 6 6 6 5 5 5 5 6 7 8 10 11 12 11 10 9 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 10 9 8 8 7 6 6 5 6 7 8 8 8 8 8 8 7 7 6 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 nan
nan 7 7 8 8 8 9 9 7 5 5 7 9 10 11 13 12 11 11 11 11 10 9 7 6 6 6 5 5 6 7 8 8 6 6 7 9 9 8 8 8 8 7 6 5 5 6 7 7 7 6 5 5 4 4 5 6 8 9 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 8 7 6 6 7 9 9 10 9 8 8 7 7 6 5 4 4 5 7 7 7 7 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 8 8 8 8 8 7 7 7 nan
nan 7 6 6 7 9 10 10 8 6 5 6 8 10 12 12 12 10 10 10 11 10 8 6 5 5 4 3 4 5 7 8 7 7 7 8 10 10 9 8 8 7 6 5 5 6 7 9 9 8 7 7 5 4 4 3 4 5 6 7 8 9 9 9 8 7 7 8 9 10 10 10 10 10 9 8 9 11 10 9 7 6 7 8 9 9 8 8 7 6 6 5 5 4 5 5 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 7 nan
nan 6 5 5 7 9 11 11 9 7 4 5 7 9 11 11 10 9 9 10 11 10 8 6 5 4 3 3 4 5 6 7 7 6 7 8 10 10 9 8 8 7 5 5 6 7 9 10 10 9 8 7 7 6 5 5 4 3 4 5 6 7 8 8 7 7 7 8 9 10 10 11 11 10 9 9 10 11 11 10 8 7 7 8 8 8 7 6 5 5 5 4 4 4 5 7 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 7 7 7 7 7 7 nan
nan 6 5 6 7 8 10 11 11 9 5 4 6 8 9 9 8 8 8 10 10 9 8 6 5 5 4 4 4 5 5 6 6 5 6 7 9 9 8 7 7 6 6 5 6 8 9 10 9 9 8 7 7 7 7 7 6 5 4 5 6 7 7 7 7 7 8 8 9 9 10 10 10 10 9 10 11 11 11 10 9 8 7 7 7 7 6 6 5 5 4 4 4 5 6 7 7 7 7 6 6 7 7 7 8 8 9 9 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 6 6 7 9 11 12 10 6 5 5 7 8 8 8 8 9 10 10 9 8 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 7 7 6 6 6 8 8 8 8 7 7 7 8 9 9 9 7 7 7 8 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 11 10 8 7 7 6 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 7 6 5 5 7 10 12 12 10 7 5 5 6 7 8 9 10 10 10 10 9 8 7 6 6 5 5 4 4 5 5 4 3 4 5 6 6 6 6 7 7 7 6 6 7 8 7 7 6 6 7 9 10 10 9 8 7 8 10 12 12 11 9 7 6 7 8 9 8 7 7 7 8 9 9 10 10 11 11 10 8 6 5 5 6 6 6 5 6 6 7 8 8 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 nan
nan 8 6 5 7 9 11 12 11 9 7 5 4 5 7 8 9 11 11 11 10 9 8 7 7 7 6 5 4 5 6 5 3 2 3 5 6 7 6 6 7 8 7 6 5 6 7 7 6 6 7 7 8 9 9 8 7 7 8 11 13 13 12 10 8 7 7 8 8 8 7 6 6 7 8 9 10 11 11 10 8 6 5 4 5 6 6 7 6 6 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 7 6 6 5 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 7 nan
nan 8 7 7 9 11 11 11 9 7 5 4 4 5 7 8 9 10 10 11 11 10 9 8 8 8 7 6 5 6 8 6 2 1 3 5 8 8 7 6 7 8 8 7 6 5 6 6 6 7 7 8 7 7 7 7 7 7 8 11 13 13 12 10 8 7 7 7 8 8 7 6 7 7 8 9 10 11 10 8 6 4 4 5 6 6 7 8 7 6 6 7 8 7 7 6 6 5 5 6 6 7 7 8 8 8 9 9 9 9 9 8 8 7 6 6 5 5 5 4 4 3 3 3 4 5 6 6 7 7 7 7 7 7 nan
nan 8 7 8 9 10 10 10 8 6 4 3 4 5 7 8 9 9 11 12 12 11 9 9 8 8 7 6 6 7 8 7 4 2 3 6 8 8 7 6 7 8 9 9 7 6 6 5 6 6 7 8 8 7 6 7 7 8 10 12 12 11 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 10 8 6 5 5 5 5 6 6 8 7 6 5 5 7 8 8 7 6 6 5 5 6 6 7 7 8 8 8 8 9 8 8 7 7 7 7 6 6 6 5 5 5 4 3 2 2 4 6 7 7 7 8 8 8 8 8 nan
nan 7 7 7 8 9 10 10 8 5 3 3 4 5 7 8 9 9 11 12 13 12 10 9 8 7 6 6 5 7 9 9 7 5 5 7 8 8 6 6 6 7 9 9 8 7 7 6 6 6 6 7 8 9 8 8 9 10 12 12 11 9 8 7 8 8 6 6 6 6 7 8 9 9 9 9 9 8 7 6 6 6 6 5 5 6 7 6 5 5 5 6 8 8 7 6 6 5 5 5 6 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 5 5 5 4 3 1 2 5 7 8 8 8 8 8 8 8 8 nan
nan 6 6 6 6 7 9 10 9 6 3 3 4 6 7 7 8 9 11 12 12 12 11 10 8 6 6 5 5 6 8 10 9 8 7 8 7 6 6 5 5 6 8 9 9 8 8 8 8 7 7 7 8 9 10 10 11 12 12 12 10 8 7 8 9 8 7 6 5 5 6 7 8 9 10 10 9 7 6 6 7 8 6 5 5 6 6 6 5 5 5 6 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 7 6 5 5 5 5 5 5 6 5 5 5 5 5 3 2 4 7 8 8 9 8 8 8 8 8 8 nan
nan 7 7 6 6 6 8 9 9 7 4 4 4 6 7 8 8 9 10 10 10 11 11 11 8 6 6 5 5 6 8 9 9 8 8 8 6 5 6 6 5 5 7 8 9 8 9 9 10 9 9 9 9 10 11 12 12 13 12 11 10 8 7 8 9 9 8 7 6 6 6 7 8 9 11 11 10 8 7 7 8 8 8 6 6 6 7 7 6 5 4 4 5 6 6 6 6 6 6 6 6 7 8 8 8 8 8 7 5 4 4 5 5 5 5 5 4 4 4 5 5 4 5 6 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 8 9 9 8 6 5 4 5 7 9 9 9 8 7 7 8 11 11 10 8 7 6 7 7 7 7 8 8 9 7 4 4 6 6 5 5 6 7 8 9 9 9 9 10 10 9 10 10 11 13 14 14 13 12 10 9 9 9 9 9 9 9 8 8 7 8 8 9 11 12 10 9 7 7 8 9 8 8 7 7 8 8 7 6 5 4 4 5 6 6 7 7 7 6 7 8 8 9 9 8 7 5 4 4 5 5 5 5 5 4 4 3 4 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 7 7 7 7 8 8 8 7 6 4 4 6 8 10 10 8 6 5 7 10 11 11 10 9 8 8 7 6 5 6 8 10 7 3 3 5 6 7 6 6 7 8 8 8 8 8 8 9 9 9 9 10 12 13 13 13 13 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 9 8 8 7 8 9 9 8 8 8 9 9 9 8 7 6 5 5 5 6 6 7 7 7 7 8 9 9 9 8 6 5 5 5 5 5 5 5 4 4 3 3 4 4 4 5 6 7 7 7 7 7 7 7 8 8 8 8 nan
nan 8 8 7 7 7 7 8 8 8 7 5 4 4 6 8 10 11 9 6 5 7 9 11 11 11 10 8 7 6 5 4 5 8 10 8 6 5 6 7 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 9 10 11 11 12 12 12 12 13 13 12 11 10 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 7 6 6 6 6 6 7 7 7 7 8 9 9 8 7 6 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 6 7 7 7 7 7 8 8 8 8 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
100 125 157 197 260 288 302 256 239 219 192 160 127 103 87 65 44 38 39 40 36 46 59 74 85 90 95 97 109 123 115 78 41 29 28 23 14 5 1 2 5 8 13 19 38 73 86 72 44 22 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 2 18 55 166 298 361 405 427 462 543 582 581 515 458 473 403 303 219 165 121 116 144 177 198 205 211 215 213 271 358 383 407 420 375 311 258 254 278 303 292 296 332 396 487 624 782 854 640 412 227 119 64 35 20 13 12 12 15 32
120 151 190 234 294 298 323 277 235 198 159 119 80 55 48 40 26 25 23 27 27 49 121 236 331 342 277 175 107 79 46 32 23 18 15 12 6 2 0 1 5 6 11 20 55 90 85 51 24 14 7 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 6 17 33 71 125 180 247 310 371 425 402 373 307 229 205 147 97 81 85 102 116 112 110 105 101 104 111 121 121 121 125 129 141 166 184 189 202 201 193 186 195 215 246 313 458 662 862 769 683 518 341 200 121 99 77 70 66 92 101
134 154 193 222 225 254 294 266 210 157 110 73 47 28 24 23 21 22 23 29 52 123 272 460 563 505 373 192 92 62 40 25 14 8 5 3 1 0 0 0 3 4 9 21 63 92 74 36 17 11 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 2 10 16 26 41 67 103 132 137 123 158 154 110 87 67 55 51 54 59 58 57 64 67 74 79 77 75 74 76 79 82 87 90 93 97 77 72 85 86 87 94 99 104 120 189 323 462 582 711 781 756 639 521 421 339 288 247 212 216
129 143 152 166 176 221 245 212 157 104 64 44 36 25 20 24 31 33 36 49 84 160 264 324 271 160 135 100 68 52 36 18 6 2 2 1 1 0 0 0 1 4 10 26 63 73 41 19 9 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 7 12 15 19 25 35 48 55 54 46 47 39 32 30 29 30 34 30 30 34 36 42 49 48 44 42 39 39 42 45 48 50 54 56 56 49 41 36 32 34 42 51 62 83 128 187 280 399 528 671 843 923 924 834 741 684 610 561
102 105 101 98 105 117 117 105 83 61 49 48 47 46 43 43 53 58 49 53 69 96 132 138 90 73 66 56 46 35 21 8 2 1 0 0 0 0 0 1 2 5 12 27 58 62 23 11 6 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 1 5 8 9 10 14 17 18 24 36 33 28 27 24 18 12 10 10 12 11 12 18 18 16 14 16 18 17 19 19 22 25 30 33 34 32 29 29 27 25 26 28 35 46 55 63 85 110 142 195 255 321 503 684 861 892 913 1003 1052
69 59 46 38 34 29 25 27 38 61 88 98 91 95 91 79 86 89 61 55 67 76 89 82 52 41 35 30 23 14 7 2 0 0 0 0 0 0 0 2 4 6 14 32 54 45 15 7 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 0 1 2 3 5 3 4 5 6 6 9 11 10 11 12 9 5 2 2 2 2 2 1 0 0 1 2 3 3 3 2 0 5 6 8 10 11 13 14 17 17 17 17 18 20 23 25 32 42 52 63 82 96 90 120 204 325 461 551 617 700
46 40 47 68 73 50 22 16 50 111 159 157 140 158 139 107 125 114 75 55 54 54 55 41 24 17 12 9 6 2 1 0 0 0 0 0 0 0 1 2 4 8 15 35 48 28 8 3 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 1 1 3 4 1 0 0 2 3 3 1 1 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 8 8 11 11 12 13 13 16 22 28 32 38 49 58 72 77 83 104 153 210 236 256
77 119 219 302 320 265 174 120 137 186 207 190 180 187 174 159 180 150 92 53 36 28 23 14 6 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 17 29 34 16 4 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 1 2 1 0 0 0 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 1 4 6 6 7 7 9 12 13 13 13 16 20 20 23 29 37 45 50 56 66 81 98 109 123
194 424 573 605 623 606 519 394 307 283 253 237 271 247 233 216 185 133 86 56 34 21 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 13 21 27 26 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 0 0 0 0 1 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 2 5 7 6 4 6 9 11 12 10 11 14 14 14 17 22 27 32 36 38 42 50 56 56
302 530 592 575 619 711 743 650 498 395 336 321 341 316 272 216 161 112 72 42 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 10 24 37 21 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 0 0 0 0 0 1 3 2 2 4 5 5 5 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 4 5 4 3 3 5 8 9 11 11 11 11 11 14 17 19 21 23 26 28 32 36
321 429 388 368 422 532 621 623 546 446 386 359 340 292 225 160 106 65 34 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 16 40 53 20 7 3 1 0 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 3 5 3 3 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 1 1 1 1 1 2 6 8 9 9 10 9 9 11 13 14 15 16 17 21 25
303 343 296 286 308 352 399 424 416 376 336 300 257 202 146 95 57 25 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 23 52 45 15 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 0 0 1 3 2 2 2 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 1 1 1 1 0 0 1 1 1 1 2 3 4 5 6 8 8 7 6 5 7 9 10 12 14 15
290 283 239 229 238 248 258 266 268 255 232 195 154 115 79 49 24 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 15 32 52 27 8 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 1 2 1 1 1 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 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 7 7 5 3 3 4 5 6 7 8
241 227 197 179 176 176 171 167 169 159 145 119 90 65 43 25 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 17 37 55 38 13 6 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 1 2 3 3 3 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 2 3 3 3 4 4 5 6
210 195 173 149 132 123 115 108 109 100 92 75 56 39 25 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 14 32 57 60 22 9 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 0 0 1 2 2 3 4 3 3 3 2 1 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 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 4 4 5 6
202 190 176 149 115 94 87 81 77 69 61 50 35 24 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 22 42 59 44 15 6 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 1 2 2 2 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 5
151 128 124 119 98 79 72 64 58 50 43 33 23 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 19 32 42 22 9 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 1 2 2 2 2 1 2 3 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 1 1 2 1 1 2 2 2 2 2 3 3 2 2 3 3 4
66 56 58 66 70 71 69 62 45 38 31 22 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 10 10 11 14 17 9 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 1 1 1 2 2 2 1 1 1 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3
7 16 30 47 59 66 65 63 38 29 21 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 12 11 8 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 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 2 1 2 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2
0 6 25 45 51 65 48 54 31 21 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 11 10 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 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 3 2 2 2 3 3 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 4 4 3 3 3 2 2 1
0 9 26 34 28 45 34 43 28 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 5 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 1 2 2 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 2 2 2 2 2 2 2 2 2 1 1 2 3 2 2 2 3 4 3 3 3 3 4 5 5 4 3 2 3 4 3 3 3 3 3 3 3 3
0 1 2 3 10 19 23 22 18 12 5 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 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 3 3 4 4 5 5 5 4 4 3 4 5 5 4 3 4 4 5 5 5 4 4 3 3 3 4
0 0 0 1 4 9 10 6 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 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 3 4 5 6 6 6 6 5 4 4 3 4 5 5 5 6 6 7 7 6 6 5 4 3 2 3
0 0 0 1 1 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 1 1 0 0 0 0 1 2 2 2 2 2 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 4 5 6 7 7 7 7 6 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 5 4 2 3
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 2 2 2 3 4 2 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 7 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 7 6 6 5 4 3 3
0 0 0 0 0 0 0 5 6 3 6 12 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 2 2 2 3 4 3 2 1 1 0 0 1 0 0 0 0 1 1 1 2 2 3 3 3 3 4 5 6 7 8 8 8 8 8 8 8 9 8 9 6 6 7 7 6 6 7 8 8 7 7 6 5 5 4 5
0 0 0 0 0 0 0 4 3 4 12 17 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 0 0 0 0 0 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 4 4 4 2 2 1 1 1 0 0 0 1 1 1 2 3 4 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 10 10 8 6 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5
0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 4 4 2 2 2 1 1 2 2 3 3 4 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 10 9 7 6 6 6 6 7 7 8 8 9 9 9 8 7 6 6 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 6 3 3 3 3 3 4 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 6 5 5 6 6 7 8 9 9 9 9 8 7 7 6 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 6 7 7 5 4 4 4 4 5 5 5 6 6 7 7 7 7 7 8 7 7 7 7 8 8 8 8 9 8 8 9 8 7 5 6 5 6 6 7 8 9 9 9 9 8 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 6 7 7 6 5 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 8 8 7 7 8 8 8 9 10 9 9 9 9 8 7 7 7
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