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
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nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 12 14 15 16 16 16 15 14 14 13 12 10 9 7 5 3 1 -1 -1 -1 1 4 4 3 3 3 nan
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nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 9 11 13 13 14 14 14 16 17 19 20 22 22 23 23 22 20 18 15 13 10 6 2 0 -2 -5 -7 -9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
10 14 18 22 25 26 26 25 22 20 17 16 15 17 22 28 32 34 34 33 33 35 37 37 38 38 40 41 42 43 46 51 55 58 58 53 45 39 34 28 20 13 7 5 10 13 15 25 43 58 75 97 115 119 132 159 203 258 305 310 255 207 182 171 157 141 134 116 79 50 92 155 197 235 281 341 407 436 436 415 376 308 235 176 133 103 88 93 97 97 102 100 79 45 28 24 30 41 52 139 211 283 371 476 584 736 873 999 1066 1042 1089 1081 1016 988 1019 943 950 926 901 867 803 756 722 677 644 628 598 564 525 476 430 392 351 302 257 229 229 242 240 210 231 282 304 309 323 356 380 399 418 438 474 505 528 537 516 486 428 355 277 198 154 132
9 10 13 17 21 24 25 26 24 22 20 19 17 19 23 28 32 33 33 34 36 37 39 40 40 40 41 41 42 44 47 50 54 58 60 56 50 45 38 31 25 17 11 6 8 13 19 38 55 63 73 90 108 121 139 153 179 228 275 282 254 210 171 160 152 146 140 121 91 69 119 170 221 281 351 418 457 464 457 440 401 315 272 254 233 201 169 172 175 185 196 186 136 82 53 42 44 74 96 156 217 267 315 400 504 636 757 885 1032 972 975 1009 979 894 953 919 895 862 829 822 762 697 663 616 560 543 519 477 431 396 373 351 319 280 249 238 245 242 209 185 218 297 344 350 372 400 411 386 371 430 490 527 524 514 459 385 301 221 161 117 95 83
10 9 10 11 15 19 22 23 24 24 24 24 21 20 22 25 27 29 30 34 38 41 43 45 46 47 45 43 42 45 51 53 54 57 60 60 55 49 42 35 29 21 12 6 4 9 21 43 56 62 67 81 99 124 154 169 173 199 234 256 254 217 162 146 138 137 132 122 116 129 165 207 269 352 426 469 478 474 462 429 379 311 276 269 262 221 232 249 259 276 290 248 188 150 129 108 86 118 137 165 201 246 308 372 444 559 682 758 928 924 857 869 931 875 891 867 850 814 729 711 692 627 571 541 483 450 438 407 366 345 326 306 279 251 233 230 242 224 187 179 238 339 388 417 458 507 508 466 458 483 516 533 503 442 346 252 172 119 89 69 57 48
12 10 9 8 10 13 16 18 21 23 25 25 25 24 22 21 19 22 25 30 35 41 46 47 49 50 50 48 48 49 53 55 56 59 63 64 61 55 48 40 34 26 16 9 6 7 17 39 54 61 67 74 93 130 174 200 190 186 197 217 228 213 167 136 120 120 122 113 115 143 182 236 311 406 472 512 518 503 465 391 329 268 228 224 247 270 300 315 319 311 295 249 224 201 189 205 196 202 212 234 254 244 299 367 398 454 599 644 723 801 792 758 807 801 822 775 719 720 643 573 567 545 481 447 410 380 366 351 319 290 274 253 229 211 198 185 191 191 190 208 270 340 404 459 500 515 506 495 487 486 473 432 368 287 207 142 98 72 53 40 31 24
15 14 11 9 8 9 11 13 16 19 22 25 27 29 29 28 23 22 23 24 27 34 41 45 48 51 52 53 53 53 54 56 59 64 71 72 69 64 57 49 42 33 22 12 6 4 9 28 45 53 58 68 91 132 177 201 190 173 173 186 200 200 176 144 122 117 123 124 132 137 174 248 331 414 491 547 563 519 398 300 222 165 134 125 165 224 266 287 290 267 252 251 248 247 264 294 282 300 331 354 370 331 309 357 406 412 528 591 616 654 685 704 740 693 700 708 627 600 574 498 456 459 421 376 355 335 316 300 278 247 226 203 175 153 140 130 136 157 186 229 290 359 425 475 498 491 480 461 431 418 374 314 245 171 109 79 60 44 30 21 15 10
16 15 14 13 11 8 8 10 12 14 18 23 27 31 33 30 28 27 26 25 26 30 37 42 47 50 52 54 53 53 53 55 59 68 74 74 72 69 64 56 49 39 27 16 6 2 7 19 32 38 46 63 87 120 154 174 175 162 159 170 187 198 187 162 140 133 133 130 120 116 164 263 354 438 505 508 436 338 245 168 113 82 64 42 61 100 132 149 165 166 181 188 198 234 274 286 337 389 408 403 396 397 358 365 432 441 510 532 567 612 598 592 676 641 566 594 591 536 518 479 412 384 367 331 309 297 278 256 240 210 178 150 120 98 79 78 97 130 175 232 301 375 440 484 497 485 453 401 348 328 280 220 159 108 71 50 34 23 16 10 6 3
14 14 15 16 15 10 8 8 9 10 13 18 22 26 30 34 34 34 35 36 35 36 39 43 49 54 55 55 54 53 52 54 60 66 70 71 70 69 65 61 53 43 31 20 10 3 5 14 25 34 50 64 78 94 112 127 137 141 148 165 186 208 206 185 161 148 135 115 93 113 185 277 369 446 457 374 229 125 75 59 57 54 37 12 9 22 36 38 53 74 109 163 229 240 278 354 389 359 386 480 472 447 421 409 427 407 486 505 456 516 581 490 518 562 480 467 538 505 459 437 392 335 315 296 274 260 248 224 204 179 142 102 78 62 54 56 73 118 173 239 311 380 431 469 476 451 399 327 279 236 187 133 93 67 46 29 16 10 6 3 2 2
11 13 14 15 15 13 10 8 8 8 9 12 15 18 21 27 34 41 47 52 52 51 51 53 57 62 63 63 61 60 58 58 64 67 69 70 72 73 69 65 58 50 42 28 16 9 7 11 18 29 46 57 63 67 71 76 86 101 122 150 179 215 223 205 177 154 128 109 107 135 197 282 368 406 361 239 116 62 43 51 69 73 52 32 25 24 16 11 24 38 70 113 108 93 173 285 323 240 277 372 459 486 449 412 436 389 398 430 363 343 481 452 399 463 482 411 453 464 407 360 352 303 273 260 243 225 213 192 166 137 106 73 55 48 46 46 68 118 180 246 315 371 401 415 410 385 323 262 207 161 121 79 56 41 28 16 8 6 4 2 2 1
9 11 12 13 14 13 11 10 9 8 7 7 9 11 13 16 22 32 44 55 64 70 74 76 73 73 71 70 71 71 69 68 70 71 73 74 75 77 75 71 65 60 59 43 28 16 8 4 9 20 30 36 38 35 31 30 38 57 87 129 169 212 235 223 186 155 132 124 138 174 229 294 352 362 305 203 120 80 75 92 113 112 99 85 70 49 19 8 20 35 50 75 74 40 53 107 161 156 220 209 266 434 498 422 437 394 316 302 305 234 314 377 350 353 451 395 358 376 368 300 289 268 236 217 208 194 181 164 135 99 76 54 42 43 47 48 79 128 185 245 304 334 338 324 297 279 231 181 136 102 78 54 39 26 15 8 5 4 3 2 2 2
9 10 12 13 13 12 11 10 9 8 7 6 6 7 8 9 12 19 29 42 57 72 85 92 93 91 87 84 83 83 79 78 78 78 77 76 73 75 76 75 71 69 68 57 41 24 14 12 16 21 21 17 12 8 6 7 12 24 58 110 168 218 247 242 197 163 142 142 167 212 261 311 346 352 327 248 175 140 138 149 166 159 148 133 109 70 29 13 20 40 57 60 70 56 40 45 75 123 148 124 127 245 326 349 387 371 295 280 330 318 320 367 402 292 326 346 303 281 303 263 235 223 207 187 179 166 148 125 99 71 53 44 42 43 51 67 97 136 179 225 256 260 246 220 199 182 151 120 90 69 50 33 18 10 7 5 4 3 3 2 2 2
10 10 13 14 14 13 11 10 9 8 7 7 6 6 6 7 9 13 18 27 41 60 79 95 105 107 108 105 102 97 92 90 89 86 81 78 75 75 78 80 79 76 73 66 52 31 20 21 26 31 30 17 6 2 0 1 2 6 41 91 148 200 234 239 207 177 162 170 201 249 294 329 347 344 319 271 232 215 212 199 204 197 186 170 140 91 47 22 18 35 69 69 70 72 72 74 92 117 122 109 111 145 134 212 308 335 319 357 369 374 364 314 395 331 274 279 272 229 225 208 188 181 177 163 149 133 114 88 67 49 38 35 39 43 57 77 100 126 149 169 176 168 150 131 126 119 106 91 68 47 31 18 9 5 4 4 3 2 2 2 2 1
10 11 12 13 14 14 12 11 10 9 8 8 8 5 5 5 6 8 11 17 28 46 69 94 112 119 120 119 115 108 102 96 90 85 80 74 72 74 79 82 81 79 76 70 60 40 29 27 33 42 45 25 9 2 0 0 0 10 34 72 120 169 198 214 210 200 195 204 241 282 315 334 333 304 268 239 227 228 230 202 196 198 199 190 149 101 59 30 19 23 54 66 71 79 96 98 108 118 122 124 134 158 172 200 250 278 271 231 226 265 291 208 225 233 230 233 241 207 181 165 154 147 142 130 117 102 77 53 37 27 24 23 27 36 50 63 76 93 99 101 97 87 74 70 72 75 76 66 45 29 17 10 6 5 4 3 2 2 2 2 1 1
8 9 10 12 13 13 12 11 10 10 10 9 7 6 5 5 5 6 8 11 19 34 55 82 110 124 129 130 125 116 107 97 86 79 70 62 58 60 67 73 76 78 75 70 64 49 36 30 34 44 52 34 15 3 1 0 0 8 28 61 102 150 180 201 212 219 233 255 282 310 330 334 308 262 225 200 182 171 166 152 150 160 174 178 140 96 59 36 23 23 38 51 58 62 81 86 90 94 101 119 125 138 153 170 199 201 190 164 136 127 160 145 150 167 182 192 189 168 144 129 130 125 115 101 86 66 43 26 16 11 13 15 21 30 36 39 45 45 41 38 38 31 30 32 35 40 40 34 26 19 15 8 5 3 3 2 2 1 1 1 1 0
8 8 9 11 12 12 11 11 10 10 11 9 7 6 5 5 5 5 6 8 14 24 40 69 100 123 136 142 141 130 116 100 84 71 61 54 50 50 54 59 66 72 74 70 67 61 49 40 38 45 51 41 21 4 1 0 2 10 28 56 92 137 173 199 217 233 255 278 305 331 347 338 294 239 187 142 109 98 94 95 105 123 135 135 114 83 53 36 25 22 24 29 34 32 39 44 45 45 49 61 71 78 84 92 106 107 101 90 74 59 68 77 84 98 112 110 100 87 78 75 79 79 71 57 43 27 14 7 4 2 6 9 11 11 13 16 17 13 9 5 8 10 11 12 14 17 17 15 13 13 9 5 3 3 2 2 1 1 1 1 1 0
5 7 8 9 10 10 10 10 10 10 11 9 8 6 6 6 5 5 5 7 11 18 31 50 76 103 126 143 147 141 127 107 87 67 55 49 46 44 43 49 58 68 73 75 79 84 75 61 54 56 58 48 28 8 1 1 4 9 22 49 86 125 162 200 236 247 262 285 315 347 364 336 278 207 139 89 66 56 55 62 76 85 88 90 84 69 46 33 25 21 19 17 15 10 9 10 9 8 9 12 14 17 24 28 31 29 30 28 22 17 16 18 16 5 19 26 24 19 16 20 24 24 19 14 9 4 1 0 0 0 1 2 1 0 1 2 3 2 1 0 1 2 3 4 5 7 8 8 5 6 4 3 3 2 2 1 1 1 0 0 0 0
4 5 6 7 8 8 8 8 8 8 9 8 8 7 5 5 5 5 5 7 9 15 24 36 52 71 93 116 131 137 133 116 93 72 58 50 45 44 46 54 65 74 81 85 91 98 96 86 77 72 68 55 32 10 3 5 8 13 24 51 78 106 140 178 207 228 253 282 318 358 365 320 242 156 92 55 42 38 41 48 66 69 65 61 58 52 37 29 23 19 15 11 5 1 0 1 0 0 0 0 1 1 3 4 4 1 0 3 2 1 0 1 1 0 0 0 1 1 1 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 5 9 3 2 1 1 1 1 1 0 0 0 0 0 0 0
8 5 4 4 5 5 6 6 5 6 8 8 8 7 6 5 5 5 5 6 7 12 20 29 39 49 57 75 92 106 110 100 87 74 62 54 51 59 65 76 86 94 97 99 102 105 104 99 89 82 78 65 37 10 3 6 13 21 32 49 57 70 98 133 167 197 234 283 337 381 358 286 193 112 60 39 32 34 42 48 62 64 59 51 45 33 25 20 17 14 10 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 2 3 4 4 1 3 4 4 0 0 1 1 0 0 0 0 0 0 0 0
11 8 5 1 2 3 4 4 3 4 6 8 8 7 6 5 5 4 5 5 5 9 17 28 38 45 44 49 56 64 72 67 67 70 71 70 68 77 87 98 108 113 109 108 108 108 106 101 91 86 82 71 45 13 6 10 18 27 32 33 28 31 50 80 113 150 204 279 349 364 310 221 133 77 47 33 30 34 44 53 60 60 52 39 28 20 13 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 3 0 2 4 3 0 0 0 0 0 0 0 0 0 0 0 0
12 11 8 0 0 1 1 1 1 3 5 7 7 7 6 5 4 4 4 3 4 7 15 27 38 44 42 40 39 40 45 42 43 46 49 52 55 68 83 96 106 114 112 112 114 114 107 101 91 86 84 76 50 23 12 14 20 23 19 12 9 12 24 41 70 113 171 242 286 270 208 130 75 44 29 24 26 33 46 56 61 58 46 33 22 15 9 2 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 0 0 0 0 1 1 3 5 5 6 3 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
10 10 10 7 5 2 1 0 1 1 3 5 6 7 8 6 4 3 3 2 3 5 13 27 40 46 44 40 37 34 31 23 16 13 16 21 27 38 52 67 82 96 104 111 115 115 102 94 88 87 89 91 57 27 10 7 11 12 8 5 3 5 10 18 43 82 126 166 181 159 111 60 33 18 13 14 20 33 50 62 64 57 46 32 22 15 10 2 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 0 0 1 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 8 9 10 8 5 3 2 1 1 2 4 6 9 10 8 5 3 2 2 4 8 17 31 46 55 51 42 37 34 29 20 10 5 4 6 9 13 21 33 51 71 88 102 111 110 98 89 85 86 90 87 55 20 2 3 8 8 5 3 1 2 2 11 31 58 82 95 96 81 53 27 15 7 4 6 15 34 53 66 68 63 50 36 23 14 8 3 1 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 1 1 1 0 1 2 3 2 3 4 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 6 7 8 8 8 7 6 4 4 4 5 9 12 13 11 8 4 3 4 10 19 29 39 48 59 57 45 37 31 28 23 16 8 5 5 5 6 8 13 26 43 62 80 95 97 93 89 88 88 87 74 48 19 0 0 3 3 2 1 2 1 0 6 21 44 55 56 51 41 28 19 12 8 7 11 25 39 52 61 66 63 54 40 24 12 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 1 1 1 2 2 2 2 1 3 5 6 5 4 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 5 7 7 7 7 8 8 9 10 11 14 17 18 17 13 8 5 8 17 30 44 49 50 55 57 52 44 29 27 28 24 16 12 9 9 9 8 10 15 22 31 46 69 81 87 90 93 92 84 66 39 12 1 0 0 0 0 0 2 1 1 2 10 31 39 40 34 22 14 11 9 8 10 18 31 39 44 51 57 58 53 40 24 11 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 1 2 4 3 3 3 3 2 4 6 7 9 9 9 6 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
3 4 4 5 6 7 7 8 10 12 15 17 20 23 24 24 21 17 13 13 18 29 44 52 53 54 56 54 42 28 23 24 24 23 20 17 15 15 15 14 15 16 21 34 52 69 84 94 101 99 88 69 41 10 3 1 0 1 1 1 2 2 1 1 5 23 36 40 32 13 7 4 3 6 16 25 33 37 39 43 47 46 39 29 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 0 0 0 0 0 0 0 1 1 1 1 1 4 3 2 2 2 1 2 4 7 11 11 7 4 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 4 4 5 7 8 9 10 12 15 19 22 25 28 30 31 28 25 21 19 18 19 25 35 41 46 51 49 37 28 24 24 27 24 19 15 14 16 18 18 18 20 23 31 43 61 81 97 103 102 94 76 43 15 4 1 2 2 2 3 3 2 0 0 8 23 38 47 46 28 15 7 5 12 25 35 39 40 36 35 31 24 16 9 5 3 2 0 0 0 0 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 0 1 1 0 1 1 1 0 0 0 0 1 3 6 4 3 5 9 6 4 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 3 4 6 8 10 12 15 19 23 26 29 32 36 41 39 34 30 26 24 21 18 18 21 25 32 33 30 27 25 26 30 26 20 13 10 13 15 18 21 26 30 38 45 59 79 94 98 98 91 74 38 15 4 2 3 4 4 4 4 2 0 1 9 24 41 57 58 43 24 9 4 9 22 33 38 36 26 19 12 7 3 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 0 1 0 0 0 0 0 0 0 1 3 4 2 4 5 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 4 6 11 14 17 23 28 32 34 36 38 41 45 47 46 42 37 36 30 24 19 14 13 16 18 20 22 23 25 28 27 23 17 11 11 13 16 20 25 33 45 57 69 83 94 93 86 75 53 28 11 4 3 4 4 5 5 5 4 3 5 12 24 46 61 62 50 32 11 4 7 14 20 22 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 0 0 0 1 2 4 5 7 8 12 13 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 3 8 20 21 26 35 43 43 41 38 34 33 36 39 43 45 46 44 38 32 25 17 13 13 12 12 14 16 18 19 20 20 19 14 12 12 13 14 18 26 40 58 73 84 92 87 73 55 33 15 6 4 4 5 5 5 6 6 6 8 11 15 22 43 55 57 50 34 14 7 5 5 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 18 19 19 18 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 5 15 25 29 36 45 49 46 42 36 30 27 29 32 36 39 41 41 39 36 32 28 23 19 15 13 12 11 11 12 12 12 13 11 9 9 10 10 9 13 23 36 49 65 75 71 54 32 13 4 3 4 5 6 6 6 6 8 9 12 15 18 24 41 50 47 34 21 13 7 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 5 8 12 17 23 24 19 16 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 4 10 23 27 31 37 46 46 45 42 37 31 25 26 28 31 35 39 40 39 37 33 31 30 28 25 21 18 15 13 11 10 8 8 7 6 6 7 7 6 7 10 13 18 32 43 47 43 21 6 2 3 5 6 7 8 8 8 10 12 15 20 23 31 42 45 37 19 12 8 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 0 0 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 5 6 8 10 11 12 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 9 14 22 31 33 31 30 31 35 35 32 30 33 27 25 27 30 33 37 38 39 37 34 31 29 27 26 26 24 23 21 18 14 11 8 7 5 4 5 5 5 4 5 5 7 10 14 18 21 13 6 5 6 7 8 9 11 11 11 12 15 19 23 23 24 27 27 20 9 5 4 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 0 0 0 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 3 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 19 29 39 44 43 38 31 26 23 18 14 15 21 12 14 22 29 33 36 38 38 36 33 31 29 28 27 25 24 24 24 23 20 17 13 9 7 6 5 5 4 3 3 4 5 5 5 4 3 3 4 5 5 7 8 9 10 11 10 11 14 15 12 9 8 7 6 3 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 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 1 1 1 1 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
22 27 38 51 56 54 46 41 36 31 27 25 25 23 18 16 16 17 25 30 35 37 36 33 32 30 27 26 25 24 23 23 22 22 21 20 18 12 10 8 6 4 3 3 3 4 4 5 3 3 2 2 2 2 3 3 3 2 2 3 3 4 3 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 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0
33 35 41 55 59 56 51 49 45 41 36 32 39 38 31 22 13 9 14 20 27 34 33 32 31 30 28 26 25 24 23 23 23 23 22 22 22 20 17 14 10 5 3 3 3 3 4 4 4 3 3 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 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 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
52 50 51 59 59 55 53 53 51 48 46 43 53 54 49 37 18 13 12 14 17 19 28 30 30 28 27 25 24 23 22 22 22 23 23 23 22 21 20 19 17 11 8 4 2 2 3 3 3 3 2 2 2 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 1 1 1 0 0 1 1 1 1 2 3 3 3 3 3 3 3 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
72 73 69 67 63 59 57 59 57 54 54 58 62 60 53 40 20 14 12 12 11 11 20 24 24 24 23 21 20 19 20 19 20 22 23 24 23 23 22 21 21 19 16 10 4 4 3 3 3 3 3 2 2 2 2 3 3 2 2 2 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 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 2 2 1 1 2 2 2 2 3 4 4 5 5 4 4 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
74 72 66 62 61 62 61 65 64 60 58 60 62 58 47 35 23 17 13 12 11 10 9 9 11 14 15 14 12 12 15 12 10 12 18 24 24 24 24 24 24 23 22 20 18 13 8 6 6 6 5 4 3 2 0 2 3 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 3 3 3 4 5 5 5 5 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
55 47 45 47 53 60 62 65 65 61 57 58 59 58 53 42 30 21 16 14 13 12 10 9 7 6 7 7 6 5 6 5 5 7 12 18 21 23 24 26 26 26 25 24 23 18 14 11 8 7 7 6 5 3 1 2 3 3 4 4 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 1 1 2 3 3 3 3 3 3 2 3 3 4 4 5 5 5 4 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
41 34 34 40 49 56 61 62 60 59 59 63 67 68 65 57 42 30 22 18 17 15 13 11 10 8 7 6 5 5 5 5 6 6 6 6 10 15 18 18 15 17 22 23 25 21 17 13 9 8 7 7 6 5 2 1 2 3 5 5 5 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 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
41 33 32 38 46 53 56 59 61 62 63 68 72 73 72 75 64 47 33 25 22 20 17 14 12 10 8 7 6 6 6 6 5 6 7 8 8 9 11 12 12 13 13 14 14 11 9 10 10 9 9 8 8 7 5 3 2 3 5 5 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 3 4 6 4 4 3 3 3 3 3 4 4 4 4 4 3 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
46 37 34 36 50 51 50 50 53 55 60 66 71 75 76 90 90 75 55 31 25 23 20 18 15 11 8 7 6 6 6 6 6 6 7 7 8 9 11 13 15 16 16 14 12 12 12 12 11 11 10 10 10 9 7 5 3 4 6 6 5 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 5 5 4 3 3 2 2 3 3 3 3 2 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
54 46 42 41 42 44 44 44 48 49 53 59 65 74 79 90 94 88 71 46 35 30 24 21 17 13 10 8 7 6 6 5 6 6 6 6 8 9 12 15 17 19 19 19 17 15 13 11 10 10 10 11 11 10 10 9 7 9 10 10 7 5 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 4 3 3 3 2 2 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
60 55 48 41 38 42 44 41 43 45 48 52 59 70 89 103 104 87 76 67 55 39 25 23 20 16 12 9 7 6 6 5 5 5 5 5 7 9 13 18 25 29 32 28 24 21 18 13 11 12 12 10 9 10 11 13 14 16 18 18 14 11 8 6 6 4 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 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 3 3 2 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 0 0 0 0
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