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 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 11 10 10 9 10 10 9 8 8 8 9 10 10 11 12 12 11 10 9 8 8 8 9 9 10 10 10 10 11 11 10 10 9 9 9 11 14 15 14 9 6 6 8 8 9 9 9 9 10 12 15 17 17 16 15 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 14 15 16 16 16 16 16 15 14 14 13 12 12 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 9 9 nan
nan 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 9 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 9 10 12 15 17 15 10 8 8 8 9 9 10 9 9 10 11 14 16 17 17 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 14 14 15 15 14 14 13 13 13 12 12 11 11 11 10 10 10 9 9 8 8 8 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 9 9 nan
nan 10 11 11 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 7 7 7 8 9 9 10 10 9 8 8 8 9 9 10 10 9 8 8 8 8 8 7 7 8 10 10 11 11 11 10 9 9 10 12 15 17 15 12 10 9 9 9 9 10 10 11 11 12 13 15 18 19 17 14 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 13 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 nan
nan 10 10 10 10 11 11 10 9 9 8 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 9 10 11 11 11 11 10 9 8 7 7 8 8 8 8 8 8 7 7 7 7 7 8 10 11 11 11 11 10 9 9 9 10 12 14 14 13 11 10 9 9 9 10 12 13 13 11 11 14 19 21 20 17 15 13 12 12 11 10 10 10 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 9 9 9 9 10 9 9 8 7 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 12 12 12 12 11 10 9 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 11 11 11 10 10 10 9 8 9 11 13 14 14 13 12 11 10 10 11 13 15 14 11 10 13 18 21 22 21 19 16 14 13 12 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 9 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 nan
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nan 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 12 12 12 12 11 12 12 13 14 15 15 15 16 17 17 16 15 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 12 11 12 12 12 12 12 12 11 10 10 10 9 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 12 12 12 12 12 11 12 13 15 18 21 22 24 24 23 21 19 17 14 10 6 2 -1 -4 -7 -8 -7 -6 -3 0 2 3 5 7 nan
nan 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 12 12 12 11 12 12 12 12 12 13 14 15 16 16 16 16 16 15 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 9 8 7 7 8 9 9 9 8 9 10 10 11 11 12 12 12 10 9 9 10 13 16 20 23 25 27 28 28 27 26 25 24 21 17 12 7 1 -3 -6 -8 -9 -8 -7 -7 -6 -4 nan
nan 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 11 11 10 10 12 12 13 12 12 11 11 11 12 12 12 12 12 13 14 15 16 17 17 16 15 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 9 8 7 7 8 8 8 9 9 9 10 10 11 12 12 12 11 10 9 9 10 12 14 17 18 20 22 25 27 28 30 30 31 31 29 25 20 15 10 4 -1 -5 -7 -8 -10 -12 -12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
75 115 170 221 265 301 335 365 388 402 410 414 414 409 408 409 410 411 414 430 441 443 436 423 403 377 346 312 277 247 217 193 171 143 120 107 107 114 121 139 161 168 173 172 170 166 150 111 71 45 32 28 25 21 13 6 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 1 1 4 10 16 25 37 50 77 113 155 198 240 280 332 383 434 481 526 560 603 650 689 709 719 734 743 723 689 661 604 527 453 377 298 222 150 88 40 15 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
20 36 63 99 147 203 248 292 336 369 394 414 429 439 446 450 452 451 451 458 464 468 467 460 449 433 410 382 351 316 280 245 214 194 181 162 160 160 182 214 222 215 206 196 192 192 183 150 107 69 47 43 46 42 32 20 8 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 2 4 9 16 24 35 53 80 113 152 194 235 278 324 371 414 448 472 501 538 575 596 610 620 618 601 568 526 470 402 328 258 189 123 74 39 15 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
12 16 23 31 53 97 127 162 204 246 288 333 366 403 435 458 470 476 477 485 492 496 496 493 485 473 458 439 417 391 366 332 297 268 248 234 225 212 210 220 225 216 192 174 169 173 172 158 135 104 74 59 54 52 50 42 29 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 12 21 34 54 82 114 151 188 228 270 310 343 367 386 408 438 469 488 498 500 486 457 417 373 323 265 205 152 100 56 26 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 1
11 13 16 18 22 36 50 67 85 108 138 181 214 251 299 354 400 420 442 466 485 500 515 520 514 504 495 489 483 467 441 410 377 343 313 291 273 254 236 222 212 201 180 161 149 141 142 144 137 120 97 74 58 50 51 53 45 28 11 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 1 0 0 1 2 2 0 0 2 5 10 19 34 58 86 116 147 182 217 246 269 285 301 321 346 370 383 383 370 350 316 278 242 202 155 105 68 40 20 7 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 1 2
11 12 15 17 19 23 27 31 35 40 50 67 82 95 116 153 218 267 308 348 390 437 477 502 522 535 543 545 537 517 492 463 431 400 371 348 329 310 287 263 239 218 196 169 141 121 115 119 123 117 104 86 69 56 50 51 47 36 22 9 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 1 1 1 0 0 1 1 3 9 19 36 59 86 114 143 170 190 207 222 236 249 261 274 279 270 254 231 203 174 142 110 70 36 18 9 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 2 3 3
10 12 13 15 16 17 18 20 22 24 27 31 34 35 41 58 89 132 177 217 256 315 370 422 472 515 546 568 566 553 533 508 483 462 441 421 400 378 353 324 291 257 221 182 141 109 94 93 97 98 96 87 76 63 55 54 45 39 24 7 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 3 8 20 37 58 82 104 126 143 156 169 180 187 191 193 190 179 162 143 122 98 71 44 22 9 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 2 3 4 5
5 7 9 10 11 10 10 12 14 15 18 23 25 26 30 40 55 78 108 138 167 211 261 316 372 426 471 508 526 532 532 529 519 508 496 483 467 446 416 377 334 288 238 185 138 96 71 61 61 64 66 69 67 60 51 29 29 31 24 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 1 2 3 3 1 0 0 0 0 0 0 0 1 4 12 24 39 53 67 82 97 108 119 128 132 130 125 117 103 91 77 60 42 21 8 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 1 2 3 4 5 6
3 5 6 5 6 5 4 5 6 7 11 14 18 22 25 28 35 49 69 92 118 149 190 229 268 311 348 390 423 448 468 488 497 503 510 515 511 491 455 406 352 294 237 177 127 85 55 38 32 35 40 46 50 50 46 54 52 36 18 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 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 4 11 16 21 30 38 45 53 62 73 78 77 73 67 59 46 36 27 20 11 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 1 1 2 4 5 6 7
1 2 4 3 3 2 2 2 2 3 6 10 16 20 23 25 28 35 46 62 85 113 148 180 202 227 257 291 323 354 382 404 422 438 458 480 492 481 452 409 354 291 232 181 136 95 57 29 19 20 25 32 38 40 46 50 39 21 10 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 2 4 4 4 2 0 0 0 0 0 0 0 2 6 9 14 17 20 21 25 33 39 39 36 29 23 19 13 9 6 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 1 3 4 5 6 7 8
0 1 3 2 2 2 1 2 2 3 5 9 14 19 22 26 28 31 37 47 69 91 116 141 158 171 183 206 238 270 288 299 311 324 347 392 422 432 427 406 370 322 271 227 181 134 85 50 27 17 17 22 27 29 34 35 30 21 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 1 2 5 3 1 0 0 0 0 0 0 0 2 3 6 7 8 9 9 12 14 13 10 6 4 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 0 0 0 0 0 0 0 0 0 2 2 3 4 5 7 8 10
1 2 3 3 3 3 3 3 3 4 6 9 13 19 21 25 28 31 33 40 57 76 95 114 128 137 142 157 181 201 212 218 226 239 265 313 351 373 393 402 391 362 324 276 225 177 125 79 44 23 14 13 12 14 18 23 33 66 24 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 2 1 0 0 0 0 0 0 0 0 1 2 2 2 1 2 3 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 1 2 3 4 5 7 8 9 11 12
2 4 4 4 5 5 6 6 6 7 9 12 14 18 21 23 25 27 32 37 48 65 86 109 120 124 130 138 148 158 166 169 172 181 204 238 272 315 350 365 364 348 323 284 239 205 163 115 67 31 14 8 6 7 10 13 16 40 33 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 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 0 0 0 0 0 0 0 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 5 6 8 8 10 13 14
2 3 4 5 6 7 8 9 10 12 16 19 21 22 23 25 25 25 30 35 42 54 71 90 108 116 119 122 125 131 135 135 135 138 152 173 193 224 260 289 304 310 307 290 258 225 178 132 84 41 20 12 8 7 8 10 15 37 40 23 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 1 2 3 3 4 5 7 9 10 12 15 16
4 4 5 7 9 10 12 13 15 19 22 26 28 30 30 29 30 29 31 35 41 47 58 74 93 105 108 105 103 110 116 119 122 126 132 145 161 181 207 233 258 281 296 297 280 242 194 146 100 57 34 22 15 11 11 12 19 28 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 8 9 11 14 17 18
5 6 8 10 12 15 16 18 21 24 27 30 33 35 36 36 35 36 37 41 46 52 67 82 93 99 99 94 91 96 103 109 116 128 131 141 152 159 167 188 222 256 278 285 276 256 217 167 118 78 53 37 29 26 24 17 18 29 35 24 14 8 13 15 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 1 1 2 3 4 5 7 8 10 12 16 18 19
7 9 12 15 18 21 23 24 26 28 30 34 37 41 43 43 43 44 47 50 55 62 73 85 93 97 96 93 90 92 96 100 103 116 127 133 134 131 131 151 187 224 249 256 248 238 217 184 147 104 67 45 36 34 29 18 15 21 32 31 24 19 16 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 6 7 8 9 13 16 18 19
9 12 17 22 26 28 29 30 31 33 33 34 37 42 46 48 49 50 52 55 57 63 73 82 91 97 97 93 89 87 85 82 87 94 98 99 99 100 106 124 151 180 204 212 209 201 191 178 150 105 65 40 29 25 19 14 14 18 24 27 26 25 25 13 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 0 0 0 0 0 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 1 2 2 3 5 6 7 8 9 10 13 16 17 19
14 17 21 27 31 33 33 32 30 29 29 30 34 40 44 47 50 52 54 58 62 67 73 78 84 89 91 90 87 83 78 74 74 75 75 75 75 81 88 98 111 125 139 149 152 153 152 150 129 94 60 36 23 17 13 11 12 14 16 19 18 20 28 24 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 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 10 11 12 13 16 18 19
17 20 23 27 31 34 34 31 27 24 24 27 31 36 41 44 48 52 56 60 62 64 66 68 72 76 80 82 81 78 73 69 66 63 63 64 64 71 78 83 87 88 97 105 110 114 116 120 108 86 63 43 30 21 15 12 12 13 14 14 13 14 22 23 11 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 1 1 1 1 1 1 1 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 6 6 6 9 11 12 13 16 18 19
19 21 23 27 29 31 30 27 25 20 21 24 29 33 39 44 47 49 53 55 56 54 53 55 56 60 64 67 67 67 62 57 54 54 55 57 61 68 74 78 79 80 83 88 93 97 103 104 97 85 71 61 46 34 24 18 15 18 21 20 17 15 20 26 19 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 1 1 2 2 2 2 2 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 7 7 9 12 13 14 16 17 18
19 21 23 26 26 25 23 22 20 17 17 21 26 31 37 42 46 47 48 46 42 38 37 40 42 45 49 52 54 55 55 54 54 54 56 59 64 72 78 79 78 78 80 84 90 93 94 93 89 82 74 67 56 46 38 33 30 30 29 27 22 18 23 26 19 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 1 1 2 2 2 2 2 3 3 4 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 6 6 7 8 10 12 12 13 14 15
14 16 18 20 20 18 15 14 13 13 15 18 23 31 34 36 37 37 36 34 32 32 33 36 39 43 46 48 48 49 50 51 52 56 59 65 72 80 85 84 82 79 78 80 89 91 90 88 84 78 74 68 62 55 50 46 42 38 34 30 26 22 31 34 21 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 1 0 0 0 0 0 0 1 1 2 2 2 3 2 2 3 4 4 5 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 4 5 5 5 5 6 6 7 9 10 11 10 10 11
4 4 7 8 6 5 7 8 9 10 13 18 23 29 31 30 29 27 25 29 34 38 41 43 43 45 46 47 46 47 51 55 56 57 63 71 80 88 92 90 88 86 86 90 93 94 93 90 88 82 77 71 65 59 58 56 50 44 37 33 29 26 30 33 21 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 4 5 6 6 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 5 6 5 4 4 5 6 8 9 9 9 9 8 8
0 0 1 0 0 0 0 2 4 8 14 20 25 27 27 25 22 19 23 31 39 46 45 45 43 43 43 42 42 48 54 58 60 63 71 82 92 97 97 95 92 92 93 99 103 104 103 100 99 94 88 81 75 71 70 67 61 52 43 37 34 33 31 23 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 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 3 4 5 6 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 3 4 5 5 5 5 6 6 7 8 7 7 8 8 8 8
0 0 0 0 0 0 0 1 2 6 14 22 26 26 21 17 17 20 26 33 43 55 50 46 43 41 39 37 39 45 52 58 64 72 83 94 102 105 103 100 98 97 101 107 111 114 114 112 111 107 101 94 86 83 80 75 68 60 53 47 42 36 25 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 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 5 5 4 5 6 6 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 4 5 6 6 7 7 8 9 9 9 8 7 6 6 6 5
0 0 0 0 0 0 1 3 4 6 12 16 17 15 12 9 13 22 30 38 48 60 57 52 47 42 38 35 37 42 48 56 66 78 90 100 107 109 109 108 107 105 107 112 116 118 118 118 117 113 109 104 99 94 90 84 75 68 64 60 56 45 19 6 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 2 4 5 6 7 6 3 1 3 6 7 7 8 8 7 6 5 4 2 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 6 7 7 9 10 10 9 9 9 9 8 6 5 4 5 4
0 0 0 0 0 0 3 6 7 7 8 9 10 10 9 6 11 19 27 38 50 55 56 54 50 43 37 35 38 43 49 54 65 76 86 94 101 104 106 108 110 109 110 113 116 118 118 119 118 115 113 112 108 104 100 94 84 78 72 69 68 61 27 8 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 1 4 4 4 5 6 4 2 2 5 8 10 11 11 10 9 8 6 3 1 0 0 0 0 0 0 1 2 2 3 3 4 5 6 7 8 10 12 13 11 10 9 8 8 9 8 6 5 5 5
0 0 0 0 0 0 3 6 8 9 9 6 6 5 4 4 8 14 23 32 37 38 38 38 36 31 31 33 36 40 45 51 60 71 80 87 90 91 91 92 95 97 100 104 108 112 112 113 114 114 114 110 106 103 100 96 88 80 72 68 68 59 35 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 2 3 6 11 14 14 13 11 9 6 3 1 0 0 0 0 1 2 2 2 3 3 4 5 7 8 10 12 14 14 13 11 11 13 13 13 13 12 10 7 6 5
0 0 0 0 0 0 3 6 8 9 7 4 2 1 1 3 5 9 13 16 16 16 16 16 18 20 24 29 34 39 42 48 56 65 73 79 79 77 75 73 72 75 81 87 93 97 99 101 103 104 103 100 96 92 89 84 76 67 58 53 54 49 35 16 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 1 0 1 2 5 9 11 14 13 9 7 4 1 0 0 0 1 1 2 3 3 3 5 6 8 9 10 12 14 15 13 13 14 17 20 20 19 18 16 13 9 6 4
0 0 0 0 0 0 1 3 5 6 4 2 1 0 0 1 3 5 6 7 6 6 6 7 10 13 17 23 29 33 39 46 52 59 65 70 73 72 68 65 64 65 69 73 77 81 83 86 88 89 89 86 82 77 71 64 57 49 40 33 34 36 33 23 9 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 1 2 5 8 10 11 13 12 10 7 4 1 0 1 1 1 2 2 3 4 5 7 9 10 12 12 13 15 14 15 18 20 22 21 21 20 18 16 13 10 7 5
0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 2 4 4 4 4 5 6 8 10 11 14 21 26 33 41 48 54 59 64 68 67 63 60 59 59 61 65 66 69 71 73 73 73 72 70 66 62 57 50 44 36 28 21 20 26 31 28 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 0 0 0 0 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 4 7 11 13 14 14 15 12 8 5 3 1 2 2 2 3 4 5 5 6 8 12 14 15 15 15 16 18 20 23 23 22 21 20 18 16 14 11 9 8 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 7 9 11 13 16 20 25 31 37 43 50 59 65 66 62 59 56 54 54 56 57 58 59 59 61 60 58 56 53 51 47 41 34 27 20 18 16 19 25 26 21 10 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 2 5 9 12 16 18 18 18 15 11 6 3 3 3 3 4 6 6 6 7 7 9 13 16 17 16 16 18 20 23 26 24 22 20 18 16 15 13 11 11 11 12
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 9 13 16 19 21 23 26 28 34 40 46 50 52 55 56 55 53 51 51 51 52 51 48 45 46 46 43 40 39 37 34 29 24 20 17 17 17 20 22 25 19 9 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 1 4 10 15 19 21 21 20 20 19 15 10 5 4 5 6 7 7 7 7 8 8 10 14 16 17 15 17 19 21 23 25 23 20 17 14 14 13 13 13 14 15 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 10 12 14 16 19 21 23 24 26 30 33 34 35 38 41 44 47 51 51 52 52 51 49 46 44 42 39 34 29 29 29 27 25 20 18 16 16 16 16 19 25 30 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 0 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 7 15 21 24 24 22 22 23 22 20 14 10 9 8 9 9 9 8 7 9 11 13 15 17 17 15 16 18 20 22 23 22 18 15 13 13 14 14 15 17 19 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 12 13 14 15 17 19 21 22 22 24 25 25 27 28 30 33 38 44 47 48 47 45 44 40 38 35 32 28 24 24 24 23 22 20 18 17 16 16 16 19 27 36 40 28 13 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 1 2 4 10 17 22 25 24 24 25 26 27 22 19 17 15 13 10 10 10 9 10 12 14 15 16 18 16 15 15 18 20 21 20 18 14 12 13 13 14 15 17 20 22 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 10 13 15 15 16 18 19 20 19 19 20 21 23 25 28 32 35 37 39 41 41 40 38 36 33 30 28 25 24 23 23 23 21 21 21 21 21 19 18 20 26 38 53 42 23 8 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 6 11 18 24 25 26 27 29 31 30 27 26 26 24 18 14 12 12 12 13 14 14 15 18 18 16 15 16 18 19 18 17 15 12 12 14 15 15 17 19 22 24 27
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 11 12 13 15 16 16 16 18 21 23 23 24 27 32 33 33 32 32 34 34 35 34 32 29 28 26 25 23 23 22 24 25 26 27 27 23 21 21 25 39 55 54 39 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 22 27 27 28 29 31 33 32 32 33 35 30 22 16 14 15 14 14 14 15 18 18 17 15 14 15 16 16 15 14 14 14 15 16 17 18 19 22 24 26 27
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 5 7 9 10 10 12 12 13 15 17 20 22 23 24 27 27 27 27 27 29 31 34 34 32 30 29 27 26 26 26 24 25 26 28 29 28 26 25 24 24 35 49 58 56 34 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 24 27 28 28 29 31 34 36 37 38 38 31 23 18 17 17 16 14 15 18 17 16 14 12 12 13 13 13 14 15 15 15 17 17 18 19 21 23 25 26 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 8 9 10 11 12 13 14 14 15 15 17 19 20 20 19 20 22 25 27 29 32 33 31 30 30 29 29 28 26 25 25 26 28 28 28 27 26 24 26 33 42 54 62 44 25 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 21 24 25 26 29 33 37 39 41 41 37 30 21 16 15 14 13 12 13 14 13 12 11 11 12 12 13 15 16 18 18 18 18 17 18 20 22 23 26 27 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 9 10 11 12 12 13 14 15 15 15 14 15 15 16 16 16 16 16 17 18 21 23 25 28 28 27 28 28 27 26 26 25 24 24 25 25 25 25 25 25 27 31 36 44 50 40 25 12 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 2 7 14 17 19 22 27 31 35 38 41 42 40 34 25 15 12 11 10 9 9 10 10 9 9 9 10 11 12 15 17 18 19 18 18 17 17 18 21 22 25 27 28 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 6 7 8 10 11 12 13 13 14 14 15 15 15 16 15 15 15 15 15 15 15 15 15 15 17 18 20 23 24 24 23 23 23 22 23 23 22 21 21 21 21 22 23 24 25 27 28 30 34 36 32 24 15 6 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 6 10 13 16 20 25 29 34 38 41 40 36 28 18 11 8 7 7 7 8 8 8 8 9 10 11 13 16 18 19 19 18 18 17 17 18 18 21 23 24 25 26 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 10 10 11 11 13 15 16 16 16 16 16 15 15 17 15 14 14 14 15 14 14 14 14 15 18 19 20 20 20 20 20 20 20 20 20 20 19 19 19 20 21 21 22 24 24 24 25 27 29 29 28 26 22 16 11 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 4 8 12 14 18 22 27 32 37 39 37 32 23 13 7 5 5 5 6 7 8 8 9 11 12 14 16 17 19 19 18 17 17 17 17 19 19 21 23 24 23 25 28
0 0 0 0 0 0 0 0 1 1 1 0 0 0 2 6 10 13 16 17 18 17 15 16 18 20 20 19 19 18 18 17 16 16 15 14 15 15 15 15 16 19 22 22 22 22 22 21 20 20 22 22 21 20 19 19 20 21 22 23 23 23 22 21 23 23 24 24 24 24 24 22 20 17 15 10 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 1 4 12 13 16 19 23 29 37 40 36 28 18 10 6 5 4 5 6 7 8 10 12 14 15 17 18 19 19 19 18 17 17 16 17 19 20 21 24 26 24 23 24
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