Vorticity
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nan 8 9 10 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 10 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 13 13 13 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 13 13 14 15 16 16 17 16 16 15 13 12 11 9 6 4 2 2 2 2 2 2 3 4 6 8 10 12 nan
nan 7 7 8 9 10 11 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 14 14 14 14 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 12 11 10 10 9 10 11 11 11 10 10 11 11 11 12 12 13 12 12 12 12 11 11 10 11 12 13 13 12 11 11 11 11 12 12 12 13 13 14 15 16 17 17 18 18 17 17 16 14 12 9 6 2 -0 -3 -4 -3 -1 1 2 4 6 nan
nan 8 7 7 8 9 10 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 13 13 14 14 14 13 13 13 12 12 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 14 13 12 11 10 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 13 12 11 10 10 11 11 12 12 12 12 11 12 13 14 15 16 18 18 19 20 21 21 21 18 14 10 6 1 -2 -3 -3 -3 -3 -3 -3 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
167 141 149 164 181 195 211 241 256 269 269 254 232 210 212 212 206 192 172 153 148 153 162 169 173 179 183 179 163 147 167 197 210 217 220 223 236 238 232 221 205 187 180 169 142 93 35 11 10 18 24 23 12 4 1 2 5 8 8 13 12 8 3 0 0 0 0 10 37 70 78 49 36 25 13 2 1 1 1 1 2 3 3 3 3 3 3 3 8 17 32 56 94 157 171 170 164 158 153 143 127 105 89 88 111 121 133 152 178 214 261 295 321 328 320 310 291 279 270 241 204 201 216 205 196 212 273 395 444 426 450 570 743 1021 1321 1478 1328 960 636 369 181 75 21 4 3 5 7 6 1 5 13 15 20 33 52 124 211 292 342 339 323 527
145 115 112 122 139 160 182 219 238 239 219 186 164 148 142 137 130 119 109 106 108 112 115 115 114 125 137 143 141 139 145 165 181 192 202 211 223 230 240 250 249 231 212 202 186 145 74 31 17 21 34 42 29 14 4 2 4 6 4 7 8 5 2 1 0 0 1 11 36 78 60 37 24 18 11 2 1 1 1 1 1 3 3 3 3 3 3 3 5 9 17 34 61 105 130 141 142 140 141 124 92 57 36 25 43 53 63 73 81 111 156 193 218 235 249 267 245 224 213 211 204 189 177 162 146 148 197 243 265 281 313 413 576 817 1006 991 777 516 316 169 69 15 3 3 3 4 6 4 3 7 12 19 30 41 73 112 154 208 247 248 258 373
218 167 136 125 130 144 169 207 240 249 220 169 139 107 83 68 62 62 72 78 85 88 85 75 69 74 82 90 93 99 107 122 142 161 177 185 195 205 225 255 274 259 233 216 196 158 101 54 26 20 31 42 37 24 12 5 4 3 1 2 4 4 1 2 1 0 1 12 44 72 57 30 12 8 6 3 1 1 1 2 2 3 3 3 3 3 4 4 4 4 7 16 36 65 95 117 123 121 111 86 53 27 23 10 11 16 21 28 38 54 79 106 129 149 163 167 172 174 181 198 202 185 177 180 154 130 144 155 156 170 211 286 407 584 739 708 454 259 140 68 18 3 2 3 3 3 3 1 3 7 14 24 42 60 83 99 101 130 152 169 203 287
416 323 252 199 172 189 193 217 258 278 243 194 149 101 57 26 17 36 58 73 80 79 73 60 51 48 50 52 51 45 48 64 89 112 127 132 143 159 187 226 255 250 226 197 168 137 106 75 54 43 40 42 40 32 22 12 5 2 1 0 1 2 1 1 1 0 1 10 59 78 53 19 2 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 3 5 14 34 61 88 97 93 77 53 31 22 15 6 4 4 5 11 14 21 35 52 61 73 92 113 116 108 131 167 194 191 165 168 159 117 98 100 94 101 141 197 290 420 536 500 323 167 74 24 4 2 2 2 3 3 2 2 4 8 19 32 58 90 111 115 100 97 99 115 163 265
682 557 411 303 290 276 256 268 301 320 283 235 183 129 78 38 21 27 43 62 75 77 71 62 55 50 46 40 25 12 12 23 39 55 64 71 84 106 136 173 202 210 197 170 139 110 97 87 79 71 61 52 48 42 32 18 8 3 0 0 0 0 0 0 0 1 3 6 33 62 46 9 1 0 0 0 0 1 1 2 2 2 2 3 3 3 3 3 4 4 4 3 4 12 30 52 61 59 48 32 18 13 8 4 3 3 3 4 5 6 11 18 21 33 56 64 41 51 94 134 158 157 138 139 152 117 62 43 43 63 98 142 199 273 346 327 234 116 30 7 1 1 2 2 2 8 8 6 10 18 31 43 59 78 100 104 97 88 80 83 145 288
803 734 624 509 435 382 353 347 351 347 314 270 226 180 134 87 41 20 23 38 56 67 66 61 56 52 49 41 20 6 2 5 11 21 27 33 45 61 82 117 148 161 154 129 100 76 76 84 92 94 88 71 59 51 39 23 11 3 0 0 0 0 0 0 0 1 2 9 30 57 48 9 0 0 0 0 0 1 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 12 21 27 27 20 11 4 3 4 4 4 4 3 3 3 4 4 7 15 25 35 40 33 69 93 101 105 110 118 119 120 102 52 17 13 39 70 98 131 172 216 213 158 75 16 2 1 1 1 2 2 3 5 14 32 32 35 45 61 71 90 97 97 92 87 84 154 298
762 780 760 713 657 594 526 469 428 387 338 294 258 226 190 140 84 39 17 16 28 42 46 47 46 44 43 37 22 8 0 1 4 12 17 22 25 30 40 68 98 116 113 86 58 42 48 66 84 100 105 91 75 63 50 30 15 5 1 0 0 2 1 0 0 0 1 5 46 59 25 3 0 0 0 0 0 1 3 3 2 2 1 2 3 3 3 3 3 3 4 4 3 3 4 6 8 8 5 3 3 4 4 4 4 3 3 3 3 4 4 5 12 19 20 17 22 62 74 54 53 87 109 95 66 49 28 11 11 26 44 56 78 107 129 135 109 50 14 3 2 2 2 2 2 4 14 52 48 35 35 52 76 88 103 111 111 110 102 111 170 299
754 782 795 780 748 720 660 584 522 461 382 320 281 256 227 187 137 89 49 23 17 18 23 26 26 25 26 26 21 11 0 0 5 13 17 17 17 19 24 38 57 73 78 50 27 17 22 38 60 84 94 91 82 72 56 38 21 8 1 2 2 2 1 0 0 0 3 7 16 21 7 1 0 0 0 0 0 1 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 9 18 24 13 12 23 29 15 18 50 67 53 26 17 15 13 14 22 31 34 46 66 91 107 79 38 12 2 2 2 1 1 2 3 9 62 60 42 43 70 101 124 135 135 132 143 149 169 227 347
708 707 706 696 681 659 629 596 563 523 456 394 345 303 257 213 170 133 98 63 40 16 7 8 11 16 18 19 18 12 3 3 10 19 21 14 8 10 17 27 38 46 48 29 13 6 9 20 44 65 80 87 87 77 58 43 28 15 3 1 0 0 0 0 1 3 9 15 18 16 5 2 0 0 0 0 0 0 1 2 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 5 8 13 20 12 7 7 7 6 7 15 21 14 8 8 11 14 18 20 29 35 43 53 57 57 45 26 9 1 2 2 2 3 1 1 23 49 58 43 62 104 142 165 173 181 196 211 227 269 346 453
525 501 520 515 510 507 511 523 529 512 487 464 439 395 332 268 210 164 132 108 88 47 18 10 13 17 19 18 15 12 9 11 18 26 27 15 6 7 14 24 36 43 40 29 16 7 4 9 36 61 85 103 100 79 57 41 31 23 11 5 2 1 1 2 2 2 6 14 21 20 9 3 0 0 0 0 0 1 2 3 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 5 6 7 8 8 5 5 8 13 19 19 25 36 49 55 48 39 26 12 3 2 1 2 5 8 3 4 25 58 85 66 93 132 172 200 208 235 263 293 336 403 498 546
505 387 382 374 365 361 376 431 459 463 463 471 484 464 418 362 300 239 183 147 128 93 59 42 38 36 29 21 15 12 11 12 15 19 20 11 6 6 11 21 38 47 47 39 29 19 11 14 28 47 71 96 84 66 50 37 28 30 21 14 8 5 5 7 8 8 11 17 26 26 16 5 0 0 0 0 0 0 1 2 1 0 0 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 5 4 4 4 4 4 4 4 5 6 6 5 5 5 5 7 11 17 17 19 30 52 52 43 30 16 3 1 2 2 3 7 10 5 7 27 64 101 99 123 167 210 241 268 302 346 403 450 519 599 636
504 387 333 307 287 270 271 324 364 386 393 397 414 414 402 383 357 321 265 206 168 134 102 85 75 62 47 33 21 10 6 5 5 6 7 5 6 10 15 24 37 47 50 48 42 32 23 21 26 36 52 70 68 65 57 45 28 35 33 25 16 9 8 10 12 14 18 21 27 25 16 6 0 0 0 0 0 0 0 1 1 0 0 0 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 5 4 3 3 3 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 5 8 10 10 9 9 12 33 38 34 23 13 3 1 1 3 5 9 9 8 8 17 59 93 136 195 259 330 343 382 453 506 565 582 616 663 704
346 329 298 261 220 187 171 193 220 248 265 254 197 216 242 264 283 302 286 251 218 183 144 106 91 77 62 45 26 7 2 1 1 2 3 4 9 17 25 28 33 42 49 52 50 42 33 25 23 30 51 63 71 70 64 56 43 43 43 38 26 15 12 10 11 13 18 26 25 21 15 9 5 3 2 1 0 0 1 1 1 1 0 0 1 2 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 2 3 4 4 4 4 4 4 4 4 5 6 5 5 5 5 5 4 6 7 7 5 4 6 18 26 27 16 9 4 2 1 2 2 6 11 14 15 27 68 126 188 236 317 341 352 449 683 725 742 756 750 727 737
150 188 192 161 118 84 65 55 56 77 99 72 40 44 69 101 131 166 192 214 227 226 203 161 124 96 74 55 34 16 9 9 11 15 18 21 25 30 33 32 33 42 52 57 55 47 38 29 25 28 40 50 60 67 69 63 55 49 48 46 35 25 18 13 10 13 19 24 24 20 16 12 11 8 4 3 4 1 1 2 1 0 1 1 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 6 7 7 6 5 4 4 4 3 4 6 11 16 25 13 6 2 1 1 1 1 3 8 20 33 59 113 182 238 238 252 286 343 430 714 811 835 816 803 771 744
26 34 39 37 29 18 11 6 5 6 3 1 2 4 8 16 27 45 73 109 150 187 192 182 156 126 96 69 53 37 28 25 26 31 37 41 43 45 46 47 48 51 56 55 49 41 35 29 25 21 22 28 37 47 56 59 58 56 55 55 43 33 24 18 15 17 20 22 21 16 13 11 11 10 8 6 8 7 7 8 6 3 1 0 0 1 1 1 1 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 5 5 7 8 8 6 5 5 4 3 3 5 6 8 9 16 10 4 0 1 2 1 1 1 3 23 47 94 167 235 270 271 268 297 393 514 732 856 868 833 804 765 712
1 1 3 3 3 2 1 1 1 1 1 0 0 0 1 1 1 5 13 23 38 66 89 112 130 136 117 85 66 53 43 38 37 38 41 44 48 52 55 59 58 51 44 38 31 27 24 20 13 7 7 9 15 24 34 48 60 66 67 63 49 35 25 21 22 23 23 23 21 15 11 10 9 11 14 12 12 14 16 17 12 6 2 0 0 1 1 2 1 1 2 3 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 5 5 5 5 7 7 6 6 5 5 4 4 5 6 6 7 8 5 1 0 1 1 1 1 1 2 15 53 126 211 263 293 294 290 331 453 608 762 837 766 779 757 690 599
2 2 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 1 1 2 4 13 32 65 104 115 96 76 59 45 41 41 41 43 46 54 62 61 58 50 39 29 24 23 22 18 13 7 3 3 4 7 13 25 42 59 70 77 73 56 38 28 25 26 24 22 21 20 16 12 10 8 8 13 15 17 19 18 17 13 8 3 0 2 3 4 3 2 1 2 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 2 0 0 1 1 1 1 2 8 25 68 146 218 278 304 290 266 381 517 632 707 730 703 644 600 552 457
4 5 6 8 8 7 7 6 5 4 3 2 2 2 1 1 1 1 0 0 0 0 1 3 16 50 74 82 74 58 44 40 42 45 51 61 76 83 78 67 55 44 37 33 31 27 20 16 12 10 11 12 11 13 20 35 53 67 77 79 68 53 41 30 21 19 22 25 25 20 14 10 9 8 11 15 21 24 19 16 14 10 6 4 8 12 12 9 4 4 5 6 4 3 3 3 3 3 3 3 2 2 2 3 3 2 2 2 3 4 4 4 4 4 4 5 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 3 2 1 0 0 0 1 0 0 5 24 63 111 159 227 287 314 299 326 422 527 594 594 546 480 449 437 433 377
5 7 9 11 11 12 12 10 7 6 5 4 4 3 3 3 3 2 2 1 1 0 0 0 1 7 27 48 56 51 47 49 54 61 73 87 96 103 100 91 79 68 59 49 38 25 16 20 21 22 25 25 25 24 27 37 50 63 73 76 71 61 48 35 26 25 29 33 32 27 20 16 14 13 14 17 22 26 21 16 17 18 20 23 29 31 26 16 7 7 9 9 5 3 3 3 3 4 3 2 2 3 3 3 2 2 2 3 4 4 4 4 4 4 5 6 6 5 5 5 6 6 6 5 4 5 5 5 5 6 5 4 3 2 1 0 0 0 1 1 0 0 2 20 80 116 180 251 311 350 369 408 458 494 480 442 407 395 393 372 350 319
6 8 11 16 18 19 18 16 13 10 8 7 6 5 5 5 4 4 3 2 1 1 0 0 0 1 6 17 28 34 47 64 78 91 105 120 128 126 122 118 105 91 76 59 43 31 32 32 33 36 40 44 44 43 44 50 60 67 73 75 71 63 52 40 32 30 33 34 35 31 26 22 19 17 15 16 19 21 18 20 26 34 40 50 54 50 38 22 13 12 13 11 6 4 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 5 6 6 5 5 5 5 5 6 6 5 5 6 6 6 5 6 5 3 1 0 0 0 0 0 1 0 0 0 2 14 83 164 238 293 340 383 423 438 427 416 382 362 344 332 329 306 283 259
6 10 13 17 22 26 28 29 27 24 20 15 12 10 8 7 6 5 5 3 3 3 2 1 1 0 0 4 11 18 32 57 90 120 136 151 158 154 147 147 138 122 101 81 69 60 55 49 47 48 53 59 62 61 57 54 60 67 73 77 78 74 61 46 35 29 26 25 28 29 27 25 21 17 14 14 16 18 16 21 34 45 59 71 73 65 49 33 23 20 20 17 11 7 4 2 2 3 3 3 2 2 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 6 6 7 5 2 0 0 0 0 0 0 0 0 0 1 4 34 100 188 271 322 361 384 387 378 370 354 337 320 305 287 260 230 207 192
7 9 12 16 21 25 32 40 44 44 41 35 27 20 15 11 8 7 5 5 4 4 3 3 2 1 0 2 7 13 23 32 57 106 138 164 184 195 199 195 186 173 157 136 111 92 77 66 58 56 63 70 73 69 58 48 50 55 63 72 82 79 66 49 34 23 18 19 23 27 29 30 25 20 18 18 20 19 19 25 39 56 71 82 84 74 57 45 36 30 29 25 20 17 13 7 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 8 8 8 8 7 5 1 0 0 0 0 0 0 1 1 1 1 15 60 133 220 295 346 375 373 345 320 318 311 297 284 267 230 191 156 132 127
8 9 11 14 19 24 31 41 51 58 61 56 45 36 27 21 15 10 7 6 5 4 4 4 3 2 1 1 4 10 34 52 58 83 126 162 195 226 244 239 225 206 187 166 136 111 90 72 55 63 73 76 72 61 49 40 35 34 39 54 69 69 61 48 34 21 17 20 24 26 24 20 19 21 23 25 25 22 20 25 37 55 73 85 88 81 68 55 44 38 35 32 26 20 14 6 4 4 4 4 4 4 5 5 4 3 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 7 3 1 0 0 0 0 0 1 1 2 2 5 29 84 170 256 315 353 365 347 299 275 275 267 238 212 182 150 118 91 77 79
9 10 11 14 17 22 28 37 47 58 66 68 64 55 45 35 25 18 14 10 7 5 4 4 3 2 1 1 1 3 17 36 53 93 138 175 208 247 269 263 244 217 187 160 133 110 91 75 62 73 78 76 68 55 39 26 17 13 14 33 47 52 51 44 33 23 20 21 22 20 16 13 12 15 19 24 23 20 19 26 40 57 72 83 90 87 72 55 45 40 37 31 24 16 10 5 5 4 4 4 6 6 6 6 5 5 6 6 6 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 7 8 9 9 6 3 1 0 0 0 0 0 0 1 2 2 8 39 109 205 282 330 340 314 274 243 226 215 203 175 144 110 81 60 50 49 53
10 10 11 14 16 20 26 33 42 54 65 74 78 77 70 57 41 31 24 18 13 8 5 4 3 2 1 1 1 2 3 9 28 88 150 203 243 275 286 277 256 227 193 157 125 101 87 78 75 76 71 59 43 28 18 11 6 3 5 19 31 37 36 30 25 22 21 23 26 21 15 10 6 6 8 14 17 20 25 32 43 53 62 70 79 81 77 69 57 43 33 26 20 14 8 4 3 4 4 4 5 5 5 5 5 6 7 7 7 8 7 7 7 7 6 6 6 6 7 7 7 7 8 9 9 9 9 8 7 3 2 1 0 0 0 0 0 0 1 2 2 9 41 123 223 298 326 299 241 195 179 173 160 144 120 91 64 45 34 31 34 39
11 12 13 14 16 20 26 35 45 55 67 80 90 100 104 94 70 48 36 29 25 17 11 6 3 2 1 1 1 1 1 1 6 54 126 206 274 309 308 292 270 241 205 170 135 106 87 78 73 69 64 54 37 27 20 14 8 7 11 20 27 29 26 20 17 17 19 23 26 25 20 11 2 1 2 6 12 20 30 36 38 40 42 51 58 62 63 62 57 43 32 25 19 13 5 2 3 3 3 3 3 4 4 4 4 5 6 6 7 7 7 8 7 7 7 6 6 7 7 6 7 8 10 10 10 10 9 6 3 1 0 0 1 0 0 0 0 1 1 2 2 9 40 112 205 270 277 235 187 156 141 133 120 100 73 46 32 25 23 23 25 27
12 13 13 14 17 20 26 38 51 64 77 94 109 123 128 119 96 77 58 45 40 31 22 13 6 3 3 2 2 2 1 1 2 24 69 135 219 266 279 274 257 217 187 162 136 112 93 78 70 63 57 50 40 34 28 23 18 18 21 25 28 27 23 20 16 15 18 21 22 20 14 6 1 0 0 2 7 13 20 23 23 23 27 34 38 39 39 41 41 35 28 23 20 17 12 8 5 2 3 3 3 3 3 3 4 4 5 5 5 6 7 7 7 7 7 6 7 8 7 7 7 9 11 11 11 10 8 6 2 0 0 0 0 0 0 0 0 1 1 2 5 14 49 93 151 205 204 184 156 129 114 102 86 66 45 28 21 17 18 20 21 23
14 15 16 17 18 21 27 39 56 72 83 96 104 109 111 106 93 79 68 61 52 43 36 26 16 10 7 5 3 2 1 1 1 5 15 34 76 111 123 115 109 110 102 91 81 72 65 58 52 47 41 36 30 27 25 23 21 21 23 25 26 24 24 22 19 15 16 16 12 6 1 1 0 0 0 2 5 7 7 6 5 10 18 23 22 17 15 19 20 19 18 17 20 21 20 14 7 3 2 2 2 2 2 3 4 4 4 4 4 5 6 6 6 6 6 5 6 7 7 8 8 9 11 12 12 10 8 7 5 3 3 2 1 0 0 0 1 2 2 3 4 14 44 86 127 155 165 162 142 111 90 73 58 43 29 20 15 14 16 18 20 21
19 19 19 19 18 22 28 40 56 67 71 78 83 88 96 98 87 75 65 59 53 48 45 43 39 30 21 13 8 5 3 2 1 1 1 2 7 14 15 13 9 10 16 21 21 20 22 23 24 24 23 21 18 16 15 14 15 16 18 21 22 24 26 26 24 23 19 13 6 1 0 0 0 0 0 1 3 3 2 1 3 8 13 13 8 4 3 5 8 9 11 16 22 24 22 15 7 3 2 2 3 3 2 2 3 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 9 9 9 10 9 8 7 8 9 9 9 5 2 1 1 1 2 2 3 4 5 6 21 57 96 116 134 141 122 91 67 49 35 26 21 15 13 13 16 21 24 26
23 22 22 21 20 21 25 34 46 55 58 59 59 60 66 78 76 69 64 58 52 48 47 48 49 48 43 33 20 13 9 6 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 4 5 8 10 10 10 9 7 5 5 6 8 10 13 19 25 28 28 24 16 8 2 0 0 0 0 0 0 0 0 0 1 3 7 11 12 7 1 0 0 1 2 5 10 19 25 27 24 16 8 3 2 3 2 3 3 2 3 4 4 4 4 5 7 8 9 9 8 7 8 9 10 11 12 11 10 9 7 6 6 8 11 12 9 4 1 2 2 3 3 3 4 6 5 4 9 33 59 79 98 112 95 66 42 28 20 16 13 11 11 12 15 19 24 32
21 22 22 22 21 21 22 23 26 40 44 42 40 44 46 52 58 61 61 57 50 45 44 45 46 47 45 40 32 25 19 14 10 6 4 2 1 1 0 1 0 0 0 0 0 0 0 0 0 1 2 3 4 3 1 1 0 0 0 2 4 10 17 22 21 14 6 1 0 0 0 0 0 0 0 0 0 0 0 4 10 14 13 6 2 1 1 2 1 6 16 25 29 27 18 10 5 2 2 3 3 4 4 3 3 4 5 6 10 11 10 10 12 13 12 11 12 14 15 16 15 13 10 7 6 5 6 8 10 10 6 2 1 2 3 3 4 4 5 5 4 2 4 15 36 62 81 80 59 38 22 15 13 9 6 8 9 11 12 14 19 27
16 16 17 18 20 22 23 22 23 28 28 27 26 26 20 26 37 48 53 54 50 46 43 42 44 44 42 37 34 29 26 22 17 13 9 5 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 6 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 10 7 5 3 4 5 2 7 16 23 26 20 12 5 2 1 1 1 2 2 3 3 3 3 4 4 5 5 5 7 8 12 15 17 19 21 22 20 16 13 11 9 8 8 8 10 10 7 3 1 2 3 3 4 4 4 5 5 4 1 5 19 40 62 64 54 38 22 11 10 11 11 12 12 11 9 10 13 16 16
13 12 12 15 19 23 26 28 29 32 38 43 41 33 24 19 19 24 33 39 42 44 43 41 42 43 43 41 37 34 31 28 23 19 15 12 9 6 5 3 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 5 4 3 2 3 6 4 7 12 17 15 11 6 2 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 2 2 6 12 19 22 22 23 22 19 15 14 12 12 12 12 11 7 2 0 1 2 3 4 5 5 4 5 5 3 1 6 17 32 41 37 28 17 9 8 10 11 13 15 14 12 11 11 11 10 10
12 11 10 12 16 21 27 33 35 37 41 49 52 46 34 20 8 7 12 17 24 30 37 39 39 40 43 44 42 39 37 34 29 23 18 15 14 11 9 7 5 3 2 1 0 0 0 0 1 1 1 1 1 2 2 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 1 1 1 0 0 0 2 2 3 5 8 10 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 11 14 16 18 16 14 13 13 13 13 9 4 1 0 1 2 3 4 5 5 5 5 5 2 0 2 6 11 13 9 3 2 4 8 9 10 12 13 13 13 14 16 15 12 9
12 11 10 11 13 19 29 38 42 43 44 50 58 53 44 31 12 7 5 6 7 9 11 18 23 27 29 33 35 35 34 34 32 26 20 16 14 12 11 10 9 6 4 3 1 0 0 0 0 0 1 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 0 0 0 0 0 0 1 0 0 1 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 5 7 11 12 11 11 10 11 10 6 2 0 1 1 2 3 4 5 6 6 6 4 2 0 0 0 0 1 1 0 2 4 6 7 8 7 9 11 13 14 14 12 9 8
13 12 12 13 14 18 24 33 43 49 52 58 57 49 41 33 15 9 5 3 2 2 4 5 7 9 10 13 15 17 20 21 23 23 22 19 16 13 12 11 11 10 8 5 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 1 1 1 0 0 1 1 1 1 1 2 4 6 9 11 10 9 7 3 0 1 1 1 1 2 3 4 5 5 3 2 0 0 0 0 1 1 1 3 3 3 3 3 2 2 3 5 6 8 7 5 5 5
15 11 12 13 15 17 21 31 41 49 53 55 54 44 30 22 15 10 6 3 2 2 2 2 2 2 2 2 3 4 6 6 7 10 14 18 17 15 13 12 12 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 4 8 9 9 6 3 1 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 2 3 2 1 0
15 13 14 15 15 14 17 26 37 47 55 61 58 47 34 24 17 11 8 5 4 3 3 2 2 1 1 1 0 0 1 0 1 3 6 10 12 12 12 12 12 12 11 11 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 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 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 3 5 5 3 1 1 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 1 2
13 14 14 16 17 15 20 26 35 47 61 70 68 58 45 33 22 15 11 9 6 5 4 3 2 2 2 1 1 1 1 0 0 0 1 0 3 5 6 6 5 6 8 8 9 8 6 4 1 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 2 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 3 4 2 1 1 1 0 0 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 1 2 4 8
9 10 10 12 18 19 25 36 49 59 72 76 72 61 49 39 31 23 17 12 9 7 6 4 3 3 3 2 2 2 2 1 1 0 1 2 2 1 1 2 1 1 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 6 6 5 3 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 2 5 5 5 6 5 3 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 3 9 16
9 8 7 10 15 17 25 40 61 75 86 86 77 61 40 32 32 35 33 18 13 11 9 6 4 4 4 4 5 5 6 5 4 5 6 5 5 5 5 4 2 1 0 0 1 1 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 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 1 2 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 3 6 10 12 9 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 1 2 4 7 13 19
13 13 11 8 10 16 29 50 76 100 112 109 88 51 30 23 26 36 46 26 17 14 10 8 6 5 6 8 10 10 10 10 11 12 12 12 12 14 15 14 11 6 2 1 1 1 1 1 2 3 3 4 3 2 1 1 1 1 0 0 0 0 0 0 1 4 6 5 3 1 1 0 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 1 1 2 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 2 5 9 13 8 3 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 1 2 4 6 10 11 11
19 22 23 21 19 20 31 51 77 110 135 142 120 59 30 17 15 23 39 30 20 14 10 9 8 7 9 11 14 17 18 19 18 18 18 18 19 23 26 30 31 27 18 12 9 8 5 3 4 6 8 7 7 8 7 7 6 5 4 2 1 0 0 1 2 3 6 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 2 2 1 1 1 1 2 2 2 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 2 3 4 6 6 5 4 3
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