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 9 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 12 12 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 7 7 7 8 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 12 13 13 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 11 10 9 9 9 8 8 9 10 11 11 11 11 12 12 12 10 10 9 9 9 10 10 11 12 13 13 12 12 11 11 11 11 12 13 15 15 15 14 13 13 13 13 15 17 20 21 22 22 21 20 19 17 14 12 9 7 4 2 -1 -3 -5 -6 -6 -5 -4 -2 0 3 5 7 nan
nan 9 9 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 13 12 11 10 10 11 12 13 12 12 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 12 13 13 12 12 11 10 9 9 8 8 9 10 11 11 11 11 11 12 11 11 11 10 9 9 9 9 10 11 11 12 12 12 11 11 11 11 12 15 16 17 15 14 13 12 12 12 12 14 16 17 18 19 20 21 22 22 21 20 19 17 15 12 8 4 -1 -4 -7 -8 -8 -7 -5 -4 -2 -1 nan
nan 10 10 11 11 11 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 9 9 9 10 11 11 11 12 12 12 12 12 11 10 9 10 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 11 12 12 11 11 11 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 13 14 15 15 13 12 11 11 11 11 12 13 13 14 15 16 18 19 21 21 22 23 24 24 23 20 15 10 5 0 -3 -5 -5 -6 -7 -7 -7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
156 148 138 140 149 162 177 184 222 263 304 336 346 370 379 407 423 402 349 300 244 218 195 159 134 125 114 111 121 142 167 184 205 231 252 259 251 240 242 248 254 257 255 239 215 191 163 118 104 121 171 212 191 143 93 66 56 57 62 67 71 78 95 120 154 176 201 245 301 338 301 185 140 121 98 63 40 46 44 36 30 29 25 15 6 2 2 2 3 18 50 101 174 286 454 671 859 957 948 861 793 744 728 744 761 739 695 636 564 503 548 655 788 933 1048 1069 1093 1075 1018 907 739 615 581 571 513 429 385 336 283 223 163 109 102 130 193 257 355 467 530 488 431 388 294 218 189 188 174 133 103 110 125 124 107 95 87 81 69 55 44 52 54 52
220 204 189 180 179 189 217 238 272 316 360 390 367 376 392 413 424 410 353 298 245 205 177 152 132 123 120 125 138 158 164 172 196 229 257 271 266 255 251 253 257 269 264 242 213 185 153 120 80 55 78 134 147 145 127 102 82 72 71 77 85 99 111 119 135 143 160 189 221 238 172 109 78 70 69 63 67 65 53 43 42 43 38 28 17 8 3 2 7 24 58 117 210 353 543 751 926 1029 1031 966 905 872 882 900 870 834 796 738 639 541 548 633 761 891 1001 1045 977 863 754 657 523 459 459 468 450 399 352 311 257 186 112 54 30 37 59 88 133 204 239 232 213 181 140 124 111 103 96 89 76 77 81 76 65 89 76 65 66 74 54 60 61 58
273 261 250 241 237 239 258 279 310 351 401 452 445 427 400 372 349 327 289 266 235 198 164 144 125 118 121 126 130 131 138 155 184 219 252 266 267 265 266 270 275 278 261 244 223 179 125 112 86 46 16 38 98 142 152 140 117 93 80 97 132 161 159 138 133 139 151 175 207 166 102 56 45 61 68 71 74 71 64 59 67 68 59 41 19 6 3 3 8 24 60 134 248 402 598 794 927 1022 1046 1075 1074 1037 1059 1042 978 912 858 800 683 576 536 575 668 762 828 833 734 598 496 438 389 355 350 372 387 369 336 302 254 182 103 52 21 10 15 25 43 69 88 89 74 62 58 57 56 52 52 44 56 76 86 87 84 84 77 66 64 70 63 63 66 70
311 317 330 338 331 315 306 311 333 374 430 487 503 493 459 413 370 324 294 267 234 196 158 139 122 114 112 110 110 99 116 137 158 183 208 227 235 244 263 284 295 295 274 252 219 140 76 111 133 102 40 13 46 83 115 134 129 108 105 150 202 212 176 154 165 169 167 178 201 158 82 34 34 58 59 61 65 71 78 81 87 87 81 65 35 17 8 7 13 31 68 150 263 409 568 723 759 795 867 1003 1134 1099 1081 1037 960 882 799 703 608 526 475 475 511 545 553 508 421 326 285 266 251 238 233 250 265 287 290 280 258 199 114 58 29 14 7 16 29 49 64 63 57 62 61 57 59 76 78 89 104 113 114 113 109 102 81 51 49 52 58 69 82 109
338 362 385 397 391 367 345 336 348 387 451 503 531 535 515 474 431 388 347 307 262 208 172 147 126 111 99 91 97 93 101 115 131 147 158 177 191 206 236 273 304 306 286 251 203 127 56 66 92 92 61 16 28 38 50 81 99 98 111 172 244 251 215 194 178 167 173 184 191 154 79 23 23 33 36 47 60 70 85 95 102 104 104 98 75 50 31 22 26 41 76 143 215 277 334 433 465 479 545 683 870 957 948 899 851 798 699 585 497 421 367 361 367 354 309 243 192 153 147 146 145 147 169 187 197 213 232 247 243 204 135 76 40 16 6 10 20 34 52 63 65 71 72 65 72 79 88 102 107 112 119 112 101 88 70 47 53 66 77 86 109 149
342 376 404 418 413 389 363 349 356 390 447 494 526 536 523 493 463 431 398 360 309 239 198 163 137 119 107 95 92 90 94 107 125 141 150 162 172 186 215 250 281 292 282 254 198 115 55 31 24 18 12 19 31 29 20 31 56 77 118 187 258 252 204 174 161 167 186 186 169 114 55 30 28 23 29 42 57 80 100 107 110 111 113 115 108 89 66 52 50 52 65 95 126 145 161 192 229 268 333 448 624 792 840 818 794 732 610 481 386 332 279 251 246 206 142 105 99 82 80 92 113 133 140 141 148 166 190 221 221 196 154 101 46 17 7 11 25 47 61 67 67 64 62 59 67 71 77 85 96 110 105 96 90 83 71 69 80 99 111 121 142 139
343 374 406 428 426 401 373 357 360 383 422 464 495 508 499 480 461 442 417 382 332 271 222 182 151 129 116 108 100 95 96 104 118 129 146 168 185 187 199 225 251 268 272 260 183 100 50 29 17 13 27 35 33 22 7 8 32 87 168 240 261 194 155 152 170 197 206 180 143 88 34 24 25 27 35 44 56 80 100 101 98 99 102 111 117 109 92 77 65 57 55 62 79 98 120 144 169 202 246 341 493 630 683 652 624 560 485 418 363 320 248 184 138 92 49 53 61 52 50 64 84 104 111 111 118 135 164 201 208 194 171 120 52 20 16 27 46 75 85 86 81 74 65 59 61 63 66 73 97 112 119 117 109 99 90 83 88 128 157 160 140 114
335 367 405 438 438 414 386 366 360 373 400 434 459 465 451 431 427 419 403 378 336 289 245 210 180 151 135 122 111 101 93 85 91 97 110 131 158 186 193 208 229 249 269 257 179 107 65 46 19 10 15 28 34 25 4 1 37 98 154 166 163 112 105 134 165 187 197 168 115 60 26 24 24 32 45 56 67 80 72 69 78 86 86 88 91 93 92 85 66 52 46 50 67 81 89 99 112 134 163 216 279 348 402 411 386 364 348 337 310 259 178 105 55 26 15 30 39 41 45 55 58 63 68 75 84 98 126 156 176 181 175 117 57 24 20 34 57 74 78 74 75 70 60 58 58 58 66 88 124 148 160 165 141 113 93 81 70 109 123 114 103 110
322 358 402 437 442 427 402 375 356 358 378 402 416 412 387 355 355 363 367 363 341 308 269 238 216 184 155 135 122 114 105 95 86 84 90 100 118 150 175 197 218 247 276 261 204 133 81 82 48 30 34 47 50 33 10 7 40 97 146 108 80 65 77 115 157 184 185 154 103 57 35 30 31 41 59 77 83 83 76 68 72 82 78 76 76 74 73 75 59 41 29 21 19 22 28 33 36 42 48 76 121 166 196 211 208 202 198 190 162 116 68 33 18 9 12 26 34 38 42 42 42 43 43 44 52 70 94 115 130 145 150 109 58 23 19 34 54 65 67 65 67 70 68 61 51 55 100 147 166 161 153 142 122 107 103 106 98 112 129 136 117 114
321 353 402 438 454 449 422 377 334 323 334 350 356 340 316 287 283 301 326 342 340 325 300 274 255 226 191 162 143 134 123 111 101 98 102 116 133 147 161 166 170 218 255 270 249 188 100 99 79 67 65 65 57 38 21 23 57 120 160 102 58 39 52 103 148 167 158 128 91 59 46 41 42 48 58 66 73 73 67 65 66 71 66 61 57 53 47 49 43 29 16 6 2 4 8 12 11 12 14 20 35 54 71 84 86 76 56 38 38 32 26 24 24 23 31 39 42 41 33 25 25 31 36 38 46 57 68 74 80 108 118 97 53 15 16 30 48 63 71 81 90 87 77 63 58 70 94 110 117 119 114 104 99 110 140 163 176 178 157 135 118 104
361 381 427 464 479 460 406 328 284 273 280 286 276 249 234 218 220 243 275 300 314 319 316 309 295 267 241 212 184 167 154 140 129 120 118 130 148 167 174 160 126 160 203 244 267 251 175 143 116 100 89 78 71 52 35 36 71 146 124 88 49 25 33 93 130 143 134 108 78 57 47 43 45 55 71 78 71 59 49 58 56 50 42 37 35 36 30 27 26 20 12 8 6 10 17 20 18 20 22 24 23 32 39 42 40 36 28 17 12 14 23 34 34 37 43 48 47 46 38 34 36 39 44 44 42 41 44 47 61 89 102 86 43 19 20 34 53 68 75 83 86 83 73 63 59 61 66 72 78 88 97 102 102 131 182 196 180 149 127 115 103 89
434 448 478 496 485 432 341 258 223 215 217 214 198 171 154 144 145 159 192 224 258 293 321 330 317 296 274 252 228 205 189 174 160 147 133 129 132 147 164 170 146 154 171 202 236 256 225 190 153 126 110 89 79 63 48 51 94 163 161 119 68 41 31 65 90 100 95 76 55 41 35 36 47 65 75 75 68 56 41 49 42 29 20 19 21 23 21 17 17 25 22 17 13 13 17 20 22 25 27 28 23 30 35 38 37 33 26 19 14 15 21 30 31 34 41 46 43 44 43 43 46 47 44 37 31 30 37 46 66 86 91 72 38 20 22 35 52 64 69 71 70 63 52 44 38 33 34 52 65 83 108 142 165 195 196 174 145 123 109 96 86 76
505 503 503 488 440 355 252 183 158 161 174 172 146 112 88 72 64 63 88 117 158 205 246 264 263 260 255 247 236 216 201 191 182 170 153 137 123 124 136 143 150 160 169 183 210 235 227 190 152 133 119 96 77 61 52 60 117 173 182 147 89 70 56 60 64 66 65 52 36 29 30 34 53 69 78 82 83 76 62 54 41 26 17 13 15 16 15 11 11 18 16 13 13 15 17 20 23 25 26 23 24 27 28 26 23 20 17 14 12 15 18 23 27 30 33 38 37 35 34 34 35 35 31 25 21 23 31 47 69 88 82 56 34 24 30 40 48 50 49 44 37 29 22 18 17 21 42 53 69 94 126 163 171 162 146 127 113 97 79 68 63 55
497 479 453 405 329 233 154 115 113 136 157 135 94 61 41 31 26 24 29 44 68 97 121 124 136 153 166 173 175 169 166 165 165 164 154 142 129 122 126 131 143 157 169 179 199 218 216 178 132 120 109 93 82 72 59 65 107 151 173 155 103 92 85 82 76 61 46 28 22 27 34 39 55 70 87 104 111 102 90 76 55 31 21 17 19 22 23 17 15 16 16 15 13 13 17 22 26 27 26 32 33 31 29 26 19 17 15 14 9 12 14 16 19 21 19 24 25 25 24 21 23 23 20 17 14 17 27 44 66 89 71 48 34 33 42 42 36 28 19 12 10 9 8 9 12 21 36 54 77 109 140 147 130 113 106 96 87 75 62 51 44 38
373 356 323 265 189 115 74 71 92 120 134 107 70 43 28 22 20 19 20 25 32 37 45 44 48 57 67 75 79 85 93 101 109 119 121 118 113 113 118 125 138 152 165 179 195 210 203 172 128 106 96 86 80 75 63 72 103 143 169 160 125 106 94 82 66 48 32 23 26 38 44 57 72 84 98 119 124 124 120 108 86 58 38 29 25 24 33 28 23 20 18 16 13 13 15 16 14 19 21 24 25 24 23 21 18 18 18 18 9 7 7 8 9 10 13 15 17 19 19 15 13 14 14 11 9 12 20 33 50 67 61 47 36 35 34 27 16 9 5 3 3 4 6 10 14 23 36 51 64 85 91 80 74 79 78 72 65 55 44 37 35 37
193 180 157 118 76 44 32 45 73 98 108 90 61 39 27 22 20 19 20 19 16 12 16 16 14 12 15 17 19 22 27 35 47 59 64 69 76 85 94 107 119 129 141 159 189 204 198 178 145 109 91 81 72 66 62 75 108 150 179 160 119 92 75 57 35 28 29 30 37 58 62 70 76 78 80 109 119 124 124 114 83 54 43 34 23 12 26 28 24 21 23 21 18 15 14 15 12 10 11 15 16 13 13 11 11 11 8 11 7 5 5 5 5 6 8 9 10 12 10 7 8 9 10 9 8 9 13 24 36 46 45 36 29 23 16 8 2 1 2 2 2 4 6 7 9 15 24 32 36 45 50 53 61 65 61 53 45 40 41 42 44 49
67 54 43 30 21 17 17 31 55 75 85 75 55 35 23 16 15 14 13 12 9 7 8 9 7 3 2 2 2 2 3 6 11 16 19 27 44 62 67 74 81 85 90 111 138 165 186 194 179 140 109 89 77 75 74 77 95 120 129 103 73 54 44 35 26 27 36 43 42 52 55 59 67 79 87 89 86 79 67 49 29 17 10 6 2 3 12 17 20 26 27 23 18 13 11 13 10 9 10 12 13 10 9 8 8 9 7 6 6 6 6 7 7 7 8 8 8 9 8 8 10 10 10 9 9 10 12 16 21 23 19 11 6 5 4 1 0 1 1 1 2 3 5 5 6 10 18 20 24 33 44 54 61 57 50 46 48 47 47 48 50 55
17 11 8 7 8 8 12 23 40 56 63 56 42 26 15 11 8 6 6 9 11 12 11 8 5 3 2 1 0 0 0 0 1 1 6 16 36 51 53 51 47 42 43 62 86 115 149 182 195 175 144 114 86 78 81 93 107 112 94 63 40 30 27 26 27 30 35 35 31 35 38 41 45 53 53 49 41 30 19 8 4 1 1 2 2 3 6 10 17 36 28 19 12 8 7 8 8 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 10 12 14 12 9 8 8 9 8 6 5 4 3 1 0 0 0 0 0 0 0 1 2 4 6 10 13 13 16 19 23 30 41 43 39 37 37 36 34 34 37 38 37 39
4 2 1 1 2 5 10 18 26 35 39 35 28 20 14 9 6 4 4 7 10 12 11 8 5 3 1 0 0 0 0 1 1 1 2 4 15 30 38 39 33 26 30 43 58 76 99 142 174 184 175 149 99 75 69 82 104 105 82 49 23 12 11 14 19 26 32 31 34 36 37 36 31 28 25 20 14 9 6 2 1 1 1 2 3 4 5 6 7 11 13 12 9 7 8 8 9 10 9 10 10 11 11 10 10 10 10 10 10 9 8 8 9 7 7 7 7 7 8 13 13 9 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 12 15 17 16 15 15 14 17 17 17 17 19 18 16 18 20 19 21 21
4 1 0 0 0 3 6 10 12 12 16 19 21 18 15 13 13 14 14 13 13 12 11 9 6 3 1 0 0 1 1 1 2 2 3 3 8 17 29 38 38 32 36 46 60 74 89 119 150 175 189 181 127 89 71 69 74 75 62 39 15 2 1 1 5 14 26 39 49 51 46 36 22 11 5 2 1 2 2 2 2 2 2 3 3 5 6 7 7 8 8 8 8 8 9 9 9 10 11 10 11 11 11 11 10 10 9 9 9 8 6 6 6 4 4 3 3 2 2 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 5 6 6 6 6 6 5 4 3 3 4 4 6 6 6 8 10 11 12 14
5 3 1 1 0 0 0 2 10 18 24 28 30 32 34 37 40 41 39 32 27 23 19 14 9 4 1 1 1 1 1 2 2 3 4 4 7 14 24 37 44 44 46 54 75 98 111 128 148 170 191 186 150 111 83 73 72 68 55 36 18 2 0 0 4 14 29 49 62 64 55 38 16 4 1 1 1 1 1 2 2 2 3 4 5 7 10 11 10 9 9 9 9 10 10 8 8 8 8 8 7 8 9 9 7 6 6 6 5 4 3 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 1 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 2 3 4 4 6 8 9 10 11
8 6 4 2 1 0 2 6 20 30 37 42 48 55 64 71 74 74 74 68 61 50 37 25 17 12 9 8 9 8 7 4 6 11 14 16 16 20 31 45 54 54 52 62 94 116 131 146 163 182 196 193 171 138 103 86 78 68 56 43 29 18 11 8 13 29 47 64 71 68 59 39 15 2 1 1 1 1 2 2 2 2 3 4 6 7 8 8 8 7 7 7 8 11 13 12 9 7 6 5 4 5 6 4 2 1 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 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 1 1 2 3 5 7 7 8 8 8 8
6 4 3 1 1 0 1 8 14 17 20 24 35 46 57 72 94 117 103 96 88 78 65 60 51 51 56 60 56 53 52 52 51 51 54 56 54 53 62 76 87 96 104 113 130 142 153 164 179 199 207 203 187 158 120 99 83 70 59 51 42 32 24 21 24 40 57 66 67 62 50 31 14 3 1 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 5 7 9 8 10 9 8 6 5 5 5 4 3 3 4 4 3 3 3 2 2 2 1 2 1 1 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 0 0 0 0 1 2 3 3 5 6 6 6 6 6 5
2 1 0 0 0 0 0 1 2 3 3 3 7 12 17 24 31 35 51 68 79 84 89 96 98 109 128 144 158 153 146 141 138 139 137 136 134 128 128 131 138 146 152 164 171 176 182 189 197 207 213 210 195 163 134 110 90 73 60 55 49 44 40 37 33 42 51 57 58 49 34 18 7 1 1 2 2 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 2 3 5 8 8 7 7 7 7 6 6 6 6 6 6 5 5 4 4 3 4 3 3 3 3 3 3 3 3 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 0 0 0 1 2 3 4 5 6 6 6 6 6
1 1 0 0 0 1 1 1 0 0 0 0 0 2 4 5 3 8 19 32 42 48 58 75 96 120 144 167 196 214 223 228 234 236 231 224 217 207 202 196 194 195 196 200 203 209 214 216 217 218 217 211 193 162 136 114 95 76 60 52 47 44 41 40 38 41 46 51 51 38 25 15 6 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 4 5 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 6 6 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 1 1 2 3 4 5 5 5 5 5
0 0 1 3 6 7 8 8 9 11 15 18 20 30 41 41 27 19 20 25 32 35 41 50 61 74 89 104 124 154 193 231 257 272 276 271 263 253 244 236 231 228 227 229 231 235 240 241 240 235 225 209 183 154 128 106 89 70 54 44 37 34 33 34 37 40 44 48 44 38 31 21 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 1 1 1 1 1 1 1 1 2 3 4 4 5 6 7 7 8 8 7 7 6 5 5 6 8 8 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 1 1 1 2 2 3 4 4 4 4
0 0 2 4 7 12 21 30 45 65 92 127 163 180 167 128 102 84 66 56 61 56 51 47 45 45 53 58 65 82 111 159 203 234 254 266 267 263 256 249 244 241 242 244 248 252 258 263 264 256 239 212 178 144 115 94 78 62 47 35 27 24 25 28 32 36 40 41 37 33 27 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 1 1 1 2 2 3 5 6 6 6 7 8 7 7 8 10 8 7 5 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 1 1 1 1 2 2 2 2 2 2 4
1 0 0 1 4 10 21 52 99 146 167 178 180 171 158 141 124 110 100 95 82 71 61 53 47 47 49 50 52 57 70 103 141 175 203 228 238 246 249 251 250 246 248 252 257 263 269 276 277 271 253 221 179 141 110 89 73 57 41 26 18 16 18 21 24 26 28 27 23 15 6 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 1 1 2 3 4 6 7 7 7 7 6 5 5 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 1 1 2 3 3 3 2 2 1 2
2 2 2 3 4 8 17 44 80 99 102 103 100 94 85 89 88 81 70 64 61 56 50 47 46 47 48 47 48 53 63 79 100 123 146 172 191 207 221 232 239 237 240 246 255 265 270 275 278 274 259 227 182 140 107 83 67 51 33 17 9 9 12 15 14 10 9 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 2 2 2 2 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 2 3 4 5 3 3 3 2 2
4 4 4 3 4 6 12 22 34 37 45 52 59 66 69 63 58 52 45 38 32 26 24 28 33 41 47 48 45 45 48 54 63 75 91 111 130 148 167 185 196 201 206 215 228 241 252 261 267 267 254 224 183 140 105 80 60 43 27 13 6 5 10 14 8 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 2 3 3 4 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 3 5 5 3 4 5 5 6
4 4 4 4 4 4 6 8 13 17 20 24 29 36 38 44 43 37 30 22 16 12 11 13 15 17 23 32 39 39 38 36 34 36 42 50 61 75 93 112 122 130 138 150 165 181 201 218 228 228 215 191 161 132 109 86 64 42 24 13 8 9 13 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 5 5 5 5 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 1 1 2 4 6 8 6 4 6 7 8 9
6 6 6 6 6 6 6 5 5 5 4 4 5 9 10 17 25 29 26 23 18 13 9 8 9 9 10 14 19 22 26 28 27 23 19 16 14 17 32 43 49 54 59 72 87 102 116 125 130 130 123 113 103 98 92 80 63 47 29 16 10 9 12 13 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 1 2 3 4 6 8 8 7 6 5 5 4 3 2 2 1 1 1 1 2 2 1 1 1 1 0 0 0 1 2 4 4 4 4 3 4 5 7 9 11 10 8 7 8 8 9 10
9 10 10 11 10 10 9 9 8 8 6 4 3 2 4 9 14 17 20 21 19 15 10 8 7 7 8 8 8 11 15 19 23 22 18 14 9 4 6 8 10 12 12 18 29 38 43 42 37 36 35 35 34 35 40 40 34 25 18 12 8 5 5 3 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 1 2 3 4 5 7 8 7 7 7 6 4 3 3 3 3 2 1 1 2 3 4 4 2 1 1 0 0 0 1 2 4 5 5 5 7 8 10 11 10 8 7 7 8 8 8 11 13
14 13 13 13 12 12 12 12 11 10 9 8 6 5 4 3 2 4 8 10 11 10 5 4 4 4 5 5 6 7 8 10 13 14 16 16 14 10 7 5 3 1 1 2 4 6 7 8 5 3 3 4 4 3 6 9 8 4 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 0 0 0 0 0 1 2 4 5 6 7 6 6 6 5 5 3 2 1 1 0 1 0 1 1 2 2 2 2 2 2 2 2 2 3 4 5 5 5 7 10 10 10 10 8 6 6 6 7 9 10 13 14
16 16 15 13 12 12 11 11 10 9 8 7 8 7 5 3 1 2 2 3 4 4 3 2 2 2 3 3 4 4 5 6 7 8 9 11 12 11 11 10 7 4 2 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 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 7 6 5 4 4 2 1 1 0 0 0 0 1 2 1 1 2 2 4 5 5 6 6 7 9 9 9 10 11 10 9 7 6 6 5 4 3 6 8 9 11 12
18 17 15 14 13 12 11 11 11 10 9 9 9 8 6 4 3 2 2 2 1 1 2 2 2 2 2 2 2 2 3 4 4 5 6 7 8 9 9 9 10 7 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 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 3 5 7 9 9 8 6 4 3 2 1 1 0 0 0 1 2 3 3 3 3 4 3 5 7 8 10 11 12 12 9 9 9 8 7 7 7 7 6 4 4 7 9 10 11 11
20 18 16 15 14 14 14 14 14 14 12 11 10 8 6 5 4 3 2 2 3 2 2 2 2 2 1 1 0 1 1 1 2 3 5 7 7 8 9 9 9 8 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 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 1 2 6 9 10 8 6 5 4 2 2 2 1 1 0 0 2 3 3 4 3 2 2 3 4 9 12 12 10 8 7 7 7 7 7 9 11 10 10 10 10 11 13 14 14 13
22 20 17 15 12 11 13 14 14 14 13 11 8 6 5 4 4 5 4 3 4 4 4 3 2 1 1 0 0 0 0 0 0 0 1 2 4 5 7 7 8 7 7 5 3 1 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 1 1 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 0 0 0 0 2 7 11 12 11 9 7 5 4 2 1 1 1 1 2 2 1 2 1 0 1 2 4 7 12 13 11 8 6 6 5 5 6 6 9 11 13 14 16 17 18 18 20 18 15
23 20 16 12 8 6 5 5 6 7 9 8 7 5 3 2 2 3 3 3 4 4 4 4 3 3 2 2 1 1 0 0 0 0 0 0 1 2 3 3 3 3 4 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 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 2 7 12 14 15 14 12 8 7 5 3 2 2 2 2 2 1 0 0 1 2 4 5 9 12 13 12 10 8 5 3 2 4 5 8 10 12 15 18 22 24 23 26 26 19
24 19 15 10 7 4 2 1 1 3 3 5 5 5 3 2 1 0 0 1 2 2 2 3 4 4 4 3 3 3 2 1 1 1 1 1 0 1 1 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 0 0 0 0 0 0 0 0 0 1 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 2 6 14 15 16 16 15 14 12 9 6 4 3 2 2 2 1 2 2 3 4 6 7 8 10 12 16 17 15 11 4 4 5 6 8 11 14 16 18 20 23 23 24 26 21
24 20 16 12 8 5 2 1 0 1 1 2 3 3 2 3 2 1 0 0 1 1 1 2 3 3 4 5 5 5 5 4 3 3 3 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 2 9 12 14 14 14 14 13 11 10 6 5 4 4 5 6 6 5 6 7 8 7 6 8 12 18 23 23 16 7 5 6 7 9 11 13 15 16 21 25 27 28 25 19
25 21 17 13 9 6 4 1 1 1 1 1 2 2 3 3 3 2 1 0 0 0 0 1 1 2 3 4 5 6 6 6 5 5 5 5 5 5 6 5 4 3 2 1 1 2 2 1 1 0 0 1 2 2 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 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 4 9 12 10 10 11 12 13 13 12 11 12 11 9 9 9 9 8 8 7 5 6 7 11 18 26 29 18 10 8 8 7 7 7 8 10 11 13 15 19 20 17 14
27 23 19 14 10 8 5 3 2 2 1 1 1 2 3 4 4 4 3 3 2 1 0 0 0 1 2 3 5 6 7 8 9 8 8 8 9 12 13 12 11 10 8 8 10 12 12 10 8 5 3 1 1 3 4 4 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 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 2 5 10 7 6 6 7 8 11 13 16 19 19 19 19 19 18 16 13 9 5 6 7 11 16 24 28 22 15 12 11 10 9 7 7 6 6 7 8 8 10 11 12
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