Vorticity
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nan 9 8 8 9 11 12 10 6 5 5 7 8 8 8 8 8 7 7 7 7 7 8 9 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 7 7 7 7 6 5 5 5 5 5 6 6 7 7 7 7 8 9 9 9 9 8 7 5 2 1 1 2 4 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 10 10 10 11 11 9 6 4 5 7 8 8 8 8 8 8 8 7 7 7 8 9 8 7 7 6 6 6 7 8 9 9 9 8 8 7 7 6 6 7 8 9 9 9 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 9 7 5 2 1 1 2 3 4 5 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 11 12 11 11 10 7 4 3 5 7 8 8 8 8 8 8 8 8 7 7 8 9 8 8 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 8 6 4 3 3 3 3 3 3 4 7 9 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 6 6 nan
nan 11 12 11 11 11 10 7 3 3 5 6 8 8 8 7 8 8 8 8 7 7 8 8 9 9 8 7 6 5 6 7 9 10 10 10 9 8 8 8 8 8 9 9 8 8 7 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 6 6 5 6 6 6 7 7 7 8 8 9 9 9 9 8 7 6 6 5 4 3 3 5 8 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 7 7 7 6 nan
nan 10 11 11 10 11 11 8 4 3 5 6 7 8 8 8 8 7 7 7 8 8 8 8 9 10 9 7 6 5 6 7 8 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 8 7 7 7 6 6 7 6 6 7 7 6 7 7 6 5 5 5 6 6 7 7 8 9 9 8 9 9 9 9 9 8 8 7 6 4 3 4 6 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 6 nan
nan 9 10 11 11 11 10 7 5 4 5 6 7 8 8 9 8 7 6 7 9 10 8 7 8 8 8 7 6 6 6 6 7 7 8 8 8 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 7 8 9 9 9 8 8 9 9 9 9 9 8 8 6 4 3 4 5 7 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 11 12 12 10 8 6 5 5 6 7 7 8 8 9 8 7 6 7 9 10 9 7 7 7 7 6 7 7 7 6 5 5 5 5 7 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 5 5 5 6 7 7 8 9 9 9 8 8 7 8 9 9 9 8 8 7 7 6 4 3 3 5 7 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 12 13 11 8 6 6 5 5 6 8 8 7 8 8 8 8 8 8 9 9 8 7 7 6 6 6 8 8 8 7 5 4 4 4 6 7 9 10 11 11 9 8 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 7 6 5 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 5 5 5 6 7 9 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 6 5 3 3 4 6 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 10 12 12 10 7 6 7 6 5 6 8 8 7 7 8 10 11 11 10 9 8 8 7 6 6 7 8 9 9 9 9 7 5 3 4 5 6 7 9 10 10 10 8 6 5 5 6 6 6 6 6 6 6 6 7 8 9 10 10 10 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 5 6 6 8 9 10 9 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 6 5 4 4 4 5 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 8 9 10 9 7 8 8 7 5 6 8 9 8 7 8 10 12 12 11 10 9 8 7 6 6 8 9 8 8 9 9 8 6 4 5 6 6 7 7 8 10 9 7 5 5 5 6 6 6 6 6 5 5 5 5 6 8 9 10 10 9 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 8 8 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 8 8 7 6 5 5 5 6 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 7 7 8 8 8 10 9 7 6 6 7 9 8 8 8 10 12 13 12 11 11 10 8 6 6 7 6 6 7 8 9 9 7 6 7 8 8 7 7 7 9 8 6 5 5 6 7 7 7 7 6 5 5 4 4 4 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 8 9 9 8 7 6 6 7 8 8 7 6 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 5 5 6 7 9 10 10 8 6 5 6 8 8 8 9 10 11 12 12 12 11 10 8 6 5 5 4 4 5 7 8 8 8 8 8 9 9 8 7 8 8 7 5 5 5 7 8 8 8 8 7 7 6 5 4 4 4 4 5 6 7 8 8 8 7 7 8 9 9 9 9 8 8 7 7 8 9 9 8 7 6 6 7 8 7 6 4 4 4 4 5 5 6 7 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 4 3 4 6 8 9 10 9 8 5 5 6 7 7 8 9 10 10 10 11 11 9 7 6 6 4 3 4 5 6 7 7 7 8 9 10 10 9 8 8 8 6 5 5 6 8 9 10 9 8 8 7 7 7 6 5 4 3 4 5 6 7 7 7 7 8 9 9 9 9 9 9 8 7 7 9 10 10 9 7 6 6 7 7 6 5 4 4 4 4 5 5 6 7 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 8 8 7 7 6 7 8 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 nan
nan 4 3 4 6 7 8 9 10 10 7 4 5 6 6 6 6 7 8 9 10 9 8 7 7 6 5 4 4 5 5 6 6 6 6 8 9 10 9 8 8 7 6 6 6 7 8 9 10 9 8 7 7 7 8 8 7 6 5 6 7 7 6 6 7 7 8 9 10 10 10 9 9 9 8 9 10 10 10 9 8 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 6 6 6 7 7 8 8 9 9 10 10 9 9 9 9 9 8 7 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 nan
nan 6 5 5 5 6 7 9 11 11 8 5 4 5 6 6 6 7 8 9 9 8 8 7 6 7 6 5 5 4 5 5 5 5 5 7 8 8 8 7 6 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 8 7 8 9 10 9 8 7 6 6 8 9 10 10 10 10 9 9 10 10 10 9 9 9 9 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 8 8 8 9 10 10 10 9 9 9 8 8 7 5 5 6 6 5 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 nan
nan 7 6 5 4 6 8 10 11 11 9 6 4 5 6 6 7 8 9 9 9 9 8 7 7 7 6 5 4 4 5 6 5 4 5 6 7 7 7 6 5 6 7 7 8 8 8 8 7 6 6 7 9 10 10 9 8 7 8 11 12 12 11 8 6 6 7 9 10 10 10 9 9 9 9 10 10 10 10 10 9 7 5 4 5 6 6 7 7 7 7 7 7 7 6 5 5 5 6 7 8 8 8 8 9 10 10 10 10 9 8 8 7 6 5 5 5 4 3 3 4 4 5 5 5 6 6 7 7 7 7 7 7 7 nan
nan 7 5 4 5 7 8 9 9 9 8 5 4 4 6 7 8 9 9 9 10 9 8 8 8 7 6 5 4 5 7 6 3 2 4 6 7 8 7 5 5 5 6 7 7 7 7 7 6 6 7 7 8 9 9 8 7 7 8 11 13 14 12 10 7 6 7 8 10 10 9 8 8 8 8 9 11 11 11 10 8 6 4 4 5 6 7 7 7 6 6 7 7 6 5 5 5 6 7 7 8 8 8 8 9 9 9 10 9 9 8 7 7 6 5 4 4 4 3 3 3 3 4 4 5 5 6 7 7 7 7 7 7 7 nan
nan 7 5 5 6 8 8 8 8 7 5 4 3 4 6 7 8 9 10 10 11 10 8 8 9 8 7 6 5 6 8 6 3 1 3 6 9 10 8 6 5 5 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 8 11 12 13 12 10 8 6 6 8 9 9 8 7 6 6 7 9 11 11 10 8 6 5 5 5 6 7 8 7 6 5 5 6 6 5 5 5 5 6 7 7 7 8 8 8 8 9 9 9 8 8 7 6 6 5 5 5 4 4 4 4 3 2 2 3 4 6 7 7 8 8 8 8 8 8 nan
nan 8 6 6 7 8 8 8 8 6 3 2 3 4 6 7 8 9 10 12 12 10 8 8 9 9 8 6 5 7 9 7 4 2 3 7 10 10 9 6 5 5 6 6 6 6 6 6 6 7 8 9 8 7 6 7 8 9 10 12 12 11 10 9 8 7 6 7 8 8 8 7 7 6 7 8 10 10 8 6 5 6 6 6 6 7 8 7 5 4 5 5 6 5 5 4 5 5 6 7 7 8 8 8 8 8 8 8 7 7 6 5 5 5 5 6 5 5 6 6 4 3 1 2 4 6 7 8 8 8 8 8 8 8 nan
nan 9 7 7 8 8 8 9 9 6 2 2 3 4 6 7 8 9 11 12 13 12 10 8 8 8 7 6 5 6 8 9 7 5 5 7 10 10 9 7 6 5 5 6 6 6 6 6 6 6 8 9 9 8 8 8 10 11 13 13 11 10 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 6 6 6 7 7 6 6 7 7 6 5 4 5 6 6 6 5 4 4 5 6 7 7 7 8 8 8 8 7 7 6 5 5 4 4 4 5 6 6 6 6 6 5 2 0 1 5 6 7 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 9 10 10 7 3 2 2 4 5 6 8 9 11 12 12 11 11 10 8 7 7 6 4 5 8 10 9 8 7 8 8 8 8 8 6 5 4 5 6 7 7 7 6 7 8 9 10 10 10 11 12 13 13 12 10 9 7 8 9 8 7 6 6 6 6 7 7 8 8 8 7 6 6 6 8 8 8 6 6 6 6 5 4 4 4 5 6 6 5 4 4 5 6 6 7 7 7 8 8 8 7 6 5 4 4 4 4 4 5 5 6 5 5 5 4 2 1 2 5 7 8 8 8 8 7 7 8 8 nan
nan 9 9 8 8 9 9 10 10 8 5 3 2 3 5 6 8 9 10 10 10 10 11 10 8 7 7 6 5 6 8 9 9 9 9 8 6 6 8 8 6 4 4 5 6 6 7 7 7 7 8 9 10 11 12 13 13 13 12 11 9 8 8 9 9 9 8 8 7 6 6 7 7 8 9 9 8 6 6 6 8 9 8 7 6 6 6 6 5 3 3 4 5 5 5 5 4 5 6 6 7 7 7 8 7 7 6 5 4 3 4 4 4 4 4 5 4 4 4 4 4 3 3 5 6 7 7 7 7 7 7 7 8 8 nan
nan 9 9 9 8 8 9 9 9 9 7 5 3 2 4 7 9 10 9 8 7 8 10 10 9 8 8 8 7 7 7 8 8 9 9 7 4 5 7 8 7 5 5 6 6 6 6 7 7 7 7 8 9 10 11 13 14 14 13 11 9 8 9 10 10 10 10 9 9 8 8 7 7 8 9 10 9 7 6 6 8 9 8 7 7 7 7 7 5 4 4 4 4 5 5 5 5 5 6 6 7 7 8 8 7 7 6 5 4 3 4 4 3 3 4 4 3 3 4 4 4 5 5 6 7 7 7 7 7 7 7 7 8 8 nan
nan 9 9 8 8 8 9 9 9 9 8 6 4 2 4 8 10 10 9 6 5 7 10 10 10 10 10 10 9 7 6 6 7 9 10 7 3 4 6 8 8 7 7 7 6 6 6 6 7 7 6 7 7 8 9 11 12 13 13 13 11 10 9 10 11 11 11 10 10 10 9 9 8 8 9 9 8 8 7 7 8 9 9 8 8 7 8 8 6 6 5 5 4 4 4 5 5 5 6 6 7 7 8 8 8 7 6 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 nan
nan 9 9 8 8 8 8 9 10 10 9 7 4 3 4 7 10 11 10 7 6 7 8 9 10 10 11 10 8 7 5 5 6 8 10 8 5 5 6 8 9 9 8 7 7 6 6 7 7 6 6 6 7 7 7 8 10 11 12 12 12 11 10 9 10 11 11 11 10 10 10 10 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 5 6 6 7 7 8 8 8 7 6 5 4 4 3 3 3 3 4 4 4 5 5 5 4 4 5 5 6 6 6 7 7 7 7 7 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
90 102 103 98 99 93 98 98 109 133 154 175 202 215 189 149 129 129 141 123 135 128 116 104 99 107 119 131 142 181 263 370 566 576 471 321 207 157 107 76 77 84 86 89 84 77 89 113 130 136 139 127 75 20 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 81 344 645 777 916 1049 1125 1024 883 887 917 840 620 362 214 133 92 64 53 60 69 81 107 144 223 319 422 522 553 487 430 462 544 616 653 693 822 859 792 859 953 1068 1154 1230 1311 1119 685 488 443 318 223 213 263 385 514 552 521 474 462
46 59 64 60 68 63 66 76 99 139 187 241 297 322 280 213 152 142 156 139 137 145 154 151 140 134 136 158 196 284 450 530 634 565 393 237 144 96 62 47 50 61 76 92 89 88 110 139 143 127 118 86 31 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 6 8 56 378 642 739 816 970 1130 1199 1245 1264 1021 784 476 307 189 121 83 58 43 34 27 28 41 60 110 182 258 317 337 311 281 288 319 371 395 402 419 467 483 574 640 683 798 1018 1264 1294 1203 1071 1068 1035 851 721 746 850 1021 1082 1084 1040 1122
15 27 36 31 31 34 43 57 80 116 171 249 339 403 373 313 256 223 200 187 196 219 228 212 192 180 164 202 263 368 429 411 395 314 194 117 93 74 41 32 33 47 67 84 84 88 111 128 110 83 71 41 11 4 3 2 1 0 0 0 0 0 1 1 2 3 5 3 1 0 0 1 1 7 26 84 256 490 609 631 641 708 789 815 776 662 627 529 384 300 204 126 80 54 33 13 7 8 16 30 56 94 144 186 197 172 126 107 127 153 180 200 233 253 271 297 339 395 464 532 659 789 918 1069 1246 1414 1439 1382 1398 1439 1453 1404 1342 1455 1586
6 9 14 10 9 16 28 39 54 77 123 198 286 357 357 334 317 285 264 276 319 343 310 237 193 201 214 230 262 303 241 204 192 154 122 122 96 87 58 42 33 36 43 55 74 94 108 101 69 49 43 32 17 10 5 3 1 0 0 0 0 0 2 3 5 7 8 5 1 1 1 2 4 10 54 204 380 515 581 581 556 540 513 485 457 416 372 332 296 243 173 108 64 40 27 11 10 12 14 19 27 45 76 106 119 108 70 38 38 53 65 58 65 97 124 154 195 234 272 319 377 439 533 677 830 951 1041 1146 1198 1208 1134 1003 878 848 887
22 22 13 4 5 13 26 36 45 65 102 156 210 251 260 258 255 239 229 224 220 229 229 198 182 215 209 185 184 174 139 124 122 110 103 115 109 98 76 53 37 29 33 52 84 106 99 70 44 36 35 28 21 15 8 4 2 0 0 0 0 0 1 2 6 7 6 3 1 2 2 2 4 13 100 281 422 495 513 495 466 430 359 337 314 282 237 199 171 138 98 63 38 17 12 12 12 15 16 18 22 30 46 65 77 72 52 31 29 31 32 31 30 33 40 56 83 111 132 167 234 293 354 410 443 461 470 458 498 550 448 396 365 348 347
24 20 16 7 6 8 27 45 59 76 98 131 164 187 194 184 168 153 144 139 136 129 122 122 123 152 154 128 122 124 117 106 97 94 103 119 113 93 67 44 32 28 35 61 91 98 77 50 35 32 31 22 16 12 9 5 2 1 0 0 1 0 2 5 8 7 3 0 0 1 1 1 7 12 112 263 374 419 402 356 317 271 243 242 207 146 102 75 60 48 36 26 19 12 12 11 11 15 18 19 23 28 36 47 59 56 44 35 31 29 27 26 26 28 33 41 47 57 70 93 125 166 210 247 275 288 299 306 272 286 269 239 221 233 255
26 24 24 17 12 8 24 49 74 95 115 135 148 155 174 165 144 123 105 90 82 80 77 69 73 84 94 79 76 82 83 77 73 75 83 94 97 78 61 46 35 35 48 73 93 84 60 42 33 28 22 15 10 8 6 3 1 1 0 0 0 3 5 7 6 5 2 0 0 0 0 1 4 10 72 180 274 306 274 213 182 146 155 162 136 80 44 30 24 22 18 14 11 10 8 9 12 16 19 21 25 29 35 39 42 40 39 37 35 32 28 25 28 26 29 33 36 40 46 52 61 82 113 141 158 163 181 192 198 213 225 209 178 170 169
30 33 36 31 26 19 26 48 77 105 129 139 128 112 138 133 129 109 79 55 43 36 30 30 44 37 37 26 29 39 48 55 59 61 66 74 81 67 59 48 42 46 62 82 90 75 52 38 32 32 24 16 10 4 2 1 0 0 0 0 1 3 6 7 6 4 2 0 0 0 0 0 1 4 27 85 152 180 161 112 102 97 99 109 95 66 43 28 19 16 15 11 7 7 5 6 9 13 17 22 27 31 36 39 40 40 39 37 36 34 29 24 23 23 24 27 29 30 32 36 44 52 58 63 67 70 78 77 81 99 114 112 102 97 97
35 39 45 46 44 37 34 40 58 88 105 107 91 80 89 83 69 57 47 37 27 19 12 4 13 6 1 0 6 14 25 34 38 39 45 56 62 54 49 47 49 61 79 91 88 67 47 43 39 34 25 17 10 5 2 1 0 0 0 0 1 5 9 10 6 2 0 0 0 0 0 0 1 3 9 26 53 66 73 70 76 70 79 91 81 56 36 24 17 12 11 7 4 2 1 1 4 8 11 17 25 30 34 37 38 38 37 36 34 32 29 25 23 23 21 21 23 26 27 27 28 29 30 31 31 31 33 30 25 32 43 43 41 45 55
37 55 66 78 78 64 43 28 36 65 80 95 76 57 54 55 48 40 36 29 14 2 0 0 0 0 0 0 1 3 6 9 9 12 17 23 33 34 35 38 51 72 91 95 81 57 45 44 40 33 25 16 8 6 6 4 1 0 0 0 1 5 8 8 5 1 0 0 0 0 0 0 1 3 10 19 23 28 33 52 53 47 56 61 53 44 35 25 17 9 8 4 1 0 0 0 1 3 7 15 22 27 30 33 36 36 36 34 31 30 31 27 23 21 20 20 20 22 24 22 23 25 24 23 22 22 24 25 24 23 21 17 18 22 28
48 67 87 112 118 105 74 41 36 48 61 78 66 50 42 51 51 38 28 17 5 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 10 19 32 52 74 87 86 69 49 42 40 36 33 26 17 14 12 11 7 4 2 1 0 0 3 6 6 3 1 1 1 1 0 0 0 1 3 7 11 15 16 17 32 31 29 35 38 36 30 27 24 19 12 8 5 2 0 0 0 1 3 9 16 22 25 28 31 35 36 36 34 30 28 29 27 24 21 20 19 18 19 22 20 19 19 19 19 18 19 21 25 25 22 19 17 16 18 20
75 79 94 107 115 133 154 160 132 61 39 62 84 54 32 48 51 29 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 23 47 73 80 71 56 43 40 37 31 24 17 15 17 14 11 8 5 3 1 0 0 2 7 6 3 2 1 2 2 1 2 3 2 2 4 7 9 10 14 19 19 18 21 27 31 28 26 24 23 21 17 15 12 6 1 2 5 8 14 19 23 26 28 30 33 35 36 36 32 29 27 26 24 22 20 18 17 17 19 19 17 15 16 16 15 17 21 23 25 21 19 17 16 16 18
83 60 56 64 82 144 285 435 387 98 30 88 136 72 35 41 36 15 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 13 37 76 84 58 46 42 39 37 32 22 16 16 18 15 9 7 4 2 0 0 0 1 4 6 3 2 4 4 3 2 3 3 1 1 4 6 8 10 11 13 13 14 16 22 27 28 28 28 29 29 28 27 26 21 15 13 14 16 19 23 26 27 28 30 32 34 37 38 34 31 29 27 24 22 20 18 16 17 18 17 13 11 14 15 14 16 18 18 20 16 14 12 13 16 18
66 54 51 85 135 203 357 580 555 107 38 139 148 92 51 32 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 9 29 66 78 49 39 35 30 27 22 17 16 14 16 13 6 6 5 3 1 0 0 1 4 7 4 3 4 3 3 2 3 3 3 4 8 7 7 9 9 9 9 9 12 16 20 21 22 24 24 25 26 27 27 25 23 22 23 23 25 26 27 27 28 30 32 34 36 35 33 31 29 26 22 21 19 17 15 15 15 13 11 11 13 14 12 15 13 12 14 12 10 8 7 10 14
89 114 176 268 345 348 326 446 483 135 80 131 111 63 28 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 10 28 49 52 39 31 22 15 11 8 8 10 9 10 10 9 8 6 3 2 1 0 0 3 4 4 5 4 3 3 2 3 6 9 10 13 10 7 7 6 5 5 4 7 9 9 9 10 11 10 11 13 16 17 18 20 24 25 25 26 26 26 25 26 30 30 28 27 27 26 25 23 17 14 13 14 13 12 13 13 11 11 10 11 12 9 11 10 9 9 8 7 7 6 5 6
154 226 325 424 489 432 271 274 309 149 98 85 56 26 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 44 39 30 26 20 10 4 2 3 6 7 5 5 6 6 5 4 2 1 1 0 0 1 3 5 7 7 6 4 4 6 9 10 10 9 8 6 5 4 2 2 2 2 2 1 1 2 1 0 2 6 8 11 13 15 15 18 20 21 22 22 22 22 21 23 22 20 20 20 19 18 14 11 9 10 10 10 10 11 10 11 10 9 10 8 8 8 8 8 8 6 7 6 4 4
179 201 230 299 369 336 212 182 168 103 62 37 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 18 38 28 20 14 8 3 0 1 2 6 4 2 2 3 3 3 2 1 0 0 0 0 2 4 7 8 9 8 5 6 8 12 12 9 10 11 8 3 1 0 0 0 0 1 2 2 1 0 0 1 2 4 5 7 10 12 13 13 15 17 19 19 18 18 17 16 15 15 16 14 11 8 7 8 8 8 8 8 8 10 10 10 8 8 8 8 8 7 8 9 8 7 5 4 3
135 121 125 161 204 197 151 125 84 42 20 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 28 26 22 16 11 6 2 1 0 0 2 2 1 0 1 1 1 1 1 0 0 0 0 0 1 4 4 4 6 6 5 6 9 10 10 8 7 8 6 2 0 0 0 0 0 0 1 1 1 0 0 0 1 2 2 3 5 6 7 8 9 11 11 12 14 12 10 10 11 13 12 11 9 7 8 7 6 6 6 6 5 6 7 7 6 6 7 8 8 7 7 8 9 7 5 4 4
92 89 99 117 127 114 88 62 32 10 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 15 44 48 29 17 11 6 4 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 5 7 9 9 7 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 6 6 7 9 9 10 11 11 10 10 10 10 10 8 7 6 6 6 4 4 4 5 5 6 6 5 5 6 6 6 6 5 6 7 8 7 5 4 4
80 77 82 87 78 60 43 22 8 1 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 14 38 58 37 20 13 9 6 5 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 2 4 7 8 7 6 4 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 5 7 8 8 8 8 8 7 8 7 6 6 6 5 4 3 3 3 3 3 2 4 5 5 5 5 5 5 5 5 4 5 5 5 6 6 5 4 4
59 48 48 51 48 34 33 15 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 18 33 37 20 15 12 12 11 9 9 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 6 8 7 6 4 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 4 5 7 7 7 7 6 6 5 5 5 5 5 5 4 4 3 2 3 4 3 4 5 5 6 7 6 5 5 4 3 3 3 3 4 5 6 5 4 4
33 27 23 22 25 21 21 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 19 28 18 11 9 9 10 10 10 11 11 7 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 10 12 7 2 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 7 8 8 7 6 5 5 5 4 2 3 3 4 5 5 4 4 4
26 27 22 19 16 14 12 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 1 1 2 2 0 1 3 5 5 5 6 7 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 9 10 6 2 0 0 0 0 0 0 0 1 2 3 3 2 2 3 4 5 5 3 3 4 4 3 3 3 4 5 6 6 6 6 6 5 6 6 6 6 6 5 6 6 7 8 8 7 5 5 5 5 4 3 3 3 3 4 5 5 5 5 4
23 30 22 16 13 11 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 1 1 1 1 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 1 3 5 5 2 1 0 0 1 1 1 2 3 3 4 4 3 2 3 4 4 3 1 1 2 2 2 2 3 4 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 8 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 4
13 18 13 10 10 8 6 2 0 1 4 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 1 2 1 1 0 0 1 2 3 3 3 4 4 4 5 4 3 2 2 3 3 1 1 1 1 1 1 2 3 3 5 6 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 5 4
6 5 3 2 4 5 5 5 4 6 8 8 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 2 10 4 0 0 1 1 3 5 5 6 6 5 5 5 5 4 2 1 2 2 2 2 1 1 0 1 2 3 4 5 6 6 6 6 6 6 7 6 7 8 9 9 9 8 7 6 6 7 7 7 7 6 6 5 5 6 6 6 7 6 6 6
2 1 0 0 0 1 3 3 2 3 4 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 0 0 0 0 0 0 0 0 0 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 3 6 6 6 7 7 7 6 5 6 4 2 1 1 2 1 1 1 0 1 3 4 6 5 5 6 6 6 7 7 7 6 7 8 8 9 8 8 7 7 7 8 9 9 8 7 6 6 6 6 7 7 7 7 7 7
1 0 0 0 0 0 0 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 1 2 2 1 3 6 6 6 7 8 8 8 5 6 5 3 1 1 1 1 0 0 2 3 5 6 6 6 5 6 6 6 7 7 7 7 7 8 8 9 8 9 8 8 8 8 9 9 8 8 7 7 6 7 7 7 7 7 7 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 0 0 0 0 0 0 0 1 1 1 3 5 6 6 7 8 9 8 6 6 5 4 2 1 1 1 1 2 3 5 6 6 6 6 5 5 6 6 7 8 8 8 8 7 8 8 8 8 9 8 8 8 8 8 8 8 7 7 6 6 7 8 7 7 7 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 0 0 0 0 0 0 0 0 0 1 3 4 6 6 8 9 9 9 7 6 6 5 3 3 2 2 2 4 5 6 6 6 6 5 5 5 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 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 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 8 9 9 7 6 6 6 6 5 3 3 4 6 6 6 6 6 6 5 5 6 6 7 7 8 8 7 7 7 7 7 7 8 8 7 7 8 7 7 7 6 6 6 6 6 7 7 9 9 8 8
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