Vorticity
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nan 11 12 13 13 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 10 10 11 12 12 11 11 12 11 12 12 11 11 10 9 9 9 9 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 9 9 10 11 11 10 9 9 9 10 11 11 10 9 9 10 11 13 13 12 11 10 9 10 10 11 11 12 11 10 9 9 9 10 11 11 11 12 13 13 13 13 12 12 13 13 14 16 18 21 22 22 21 20 18 16 13 11 9 6 3 -1 -3 -5 -5 -5 -5 -5 -4 -1 2 5 7 10 nan
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nan 9 8 8 8 9 10 12 12 11 11 10 11 12 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 11 11 11 10 10 11 11 12 12 12 11 10 9 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 12 11 11 10 10 11 12 12 12 11 10 10 10 11 11 11 11 12 11 11 10 9 8 9 11 13 14 12 11 9 8 8 8 9 10 10 11 10 10 10 10 10 11 11 11 12 13 14 15 15 13 12 11 10 10 11 12 13 14 15 16 17 17 18 19 19 20 22 23 23 22 19 14 10 5 1 -2 -4 -4 -5 -6 -7 -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 nan nan nan 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
313 304 287 278 280 290 303 328 417 456 478 510 551 542 533 536 552 575 583 512 441 371 306 250 202 172 148 141 146 155 166 175 189 215 242 251 255 269 294 314 319 307 289 272 246 228 208 144 86 86 130 184 216 239 207 175 152 142 149 197 221 246 276 308 339 354 316 263 259 313 349 167 127 130 123 91 49 34 33 38 48 59 38 18 9 10 15 23 45 56 71 104 173 326 525 713 895 1046 1122 1071 986 868 743 623 498 475 431 390 364 368 432 491 522 532 528 517 556 615 692 763 820 920 952 897 795 718 724 695 603 418 228 112 73 55 61 85 169 320 386 286 278 287 259 227 189 172 166 155 148 157 163 154 136 124 103 101 101 99 99 102 66 69
307 309 288 259 235 227 229 260 316 365 401 433 482 493 495 500 512 535 556 525 489 437 369 299 243 201 151 113 103 122 144 153 163 181 201 212 225 238 258 278 285 279 271 262 251 241 216 160 96 67 97 167 222 255 242 229 215 184 176 219 247 269 289 312 332 328 292 278 283 236 182 122 98 89 74 52 42 35 31 32 45 69 51 30 17 14 15 20 28 35 50 79 127 243 367 499 637 765 809 770 711 636 596 581 531 459 372 305 286 277 285 286 289 297 302 321 363 430 513 584 630 702 756 741 673 610 600 604 516 348 196 95 45 21 14 22 42 104 161 142 114 117 122 117 99 88 83 71 80 80 85 87 85 109 98 89 85 80 96 85 90 89
308 323 305 266 225 199 195 220 268 322 367 386 421 433 435 434 440 459 478 478 469 444 395 326 273 236 188 133 91 58 113 145 165 181 193 199 201 207 219 233 244 253 259 257 236 189 138 122 86 70 101 179 265 313 290 276 284 230 240 294 322 329 326 304 283 273 283 313 335 266 177 118 85 64 46 32 23 22 26 33 54 71 68 53 36 27 24 24 23 25 35 60 102 170 247 325 403 479 515 541 579 636 658 620 515 377 245 179 172 163 156 157 172 177 180 183 213 269 345 403 438 469 497 514 492 472 474 471 415 305 202 108 49 22 13 10 14 29 51 57 44 55 69 78 75 61 55 31 32 47 62 69 65 72 78 75 72 67 102 142 174 179
320 354 343 292 232 197 185 199 240 296 346 360 378 393 396 391 399 427 447 461 458 435 405 342 292 254 218 181 151 144 131 136 154 176 198 211 207 202 206 216 234 254 269 250 183 82 50 94 142 170 169 155 211 247 249 265 275 237 271 402 465 389 314 248 212 204 221 261 319 267 161 86 56 37 27 20 19 21 25 28 38 46 57 64 51 40 31 20 14 13 20 41 76 127 161 169 202 258 318 382 448 496 453 378 297 214 131 106 85 68 60 69 90 88 94 129 171 193 241 287 293 287 300 330 340 354 371 379 361 309 220 123 55 27 19 19 21 28 41 51 50 80 100 107 114 125 117 103 94 92 87 95 103 100 83 61 61 85 117 142 173 188
320 376 382 329 258 207 187 190 220 268 310 312 319 339 358 367 392 414 442 464 469 454 423 368 314 263 213 163 125 129 122 116 120 135 157 183 199 208 219 229 250 278 294 273 196 86 33 50 90 108 83 66 111 106 117 204 240 219 263 403 515 434 320 238 176 148 164 190 197 172 105 45 29 20 17 16 19 24 27 26 23 21 30 49 44 27 11 3 2 5 10 20 41 53 45 37 75 131 185 230 271 273 237 172 124 109 82 64 51 34 20 22 26 30 44 80 129 150 177 203 210 202 209 226 263 288 301 309 304 304 235 142 67 29 23 27 35 49 69 76 78 105 125 127 135 153 158 155 144 132 117 111 104 97 92 75 73 73 72 89 153 174
340 385 390 350 287 232 202 194 207 228 243 242 247 260 273 286 319 341 374 404 426 471 433 382 330 287 243 150 82 56 55 70 96 102 112 131 155 185 216 240 273 307 325 306 228 123 58 35 39 63 82 70 70 59 56 126 167 169 240 365 448 404 288 202 159 167 196 182 146 99 49 22 17 16 17 19 22 22 24 23 17 11 13 26 27 19 11 7 4 5 8 14 21 26 19 20 35 65 99 119 126 128 121 99 70 57 42 26 14 9 6 9 15 24 43 77 104 124 131 134 138 132 137 155 188 218 233 248 270 279 243 162 73 36 29 42 64 92 102 100 93 85 87 94 107 119 128 140 150 140 130 119 107 95 83 86 86 92 114 113 157 169
374 402 405 376 318 262 220 196 183 175 170 175 181 182 173 158 168 202 257 303 320 381 381 359 330 302 280 197 114 58 43 72 118 116 109 110 121 141 174 211 257 301 326 305 225 138 77 48 49 80 104 93 68 45 42 84 88 116 214 357 449 364 251 173 155 196 231 203 177 118 36 13 17 19 21 22 24 25 25 18 11 7 5 9 14 18 18 13 7 7 13 20 24 28 24 17 15 23 40 48 49 57 56 43 27 16 11 8 6 8 10 16 27 42 57 65 66 81 89 86 88 98 109 117 127 143 164 196 233 258 248 176 85 45 41 53 69 98 101 95 87 78 89 86 90 97 108 131 140 146 148 144 130 119 110 96 93 139 201 200 170 144
445 453 454 427 355 280 214 164 131 114 108 121 130 124 112 100 98 111 144 188 223 272 294 308 315 302 286 238 182 136 123 159 180 169 143 122 119 126 151 181 218 262 311 273 210 148 101 67 43 62 73 81 79 60 34 45 52 100 207 345 407 322 226 168 156 188 234 213 151 84 32 25 27 28 26 23 21 20 15 11 11 10 8 5 5 10 19 20 11 9 14 21 24 21 18 12 7 6 10 12 19 26 24 16 9 5 5 9 16 22 30 39 49 58 62 56 51 57 68 67 68 76 83 83 82 91 116 150 196 245 254 173 95 50 41 50 60 77 82 77 68 75 91 95 95 102 117 137 161 170 163 164 143 125 112 102 113 168 184 155 126 129
512 502 474 419 325 230 151 97 70 63 64 73 80 82 78 69 62 64 78 103 149 205 233 250 270 279 273 249 220 195 188 217 230 216 182 146 134 140 158 182 210 244 300 256 207 162 124 83 54 62 87 110 112 76 37 26 46 110 222 331 339 268 188 148 156 180 202 183 129 77 50 42 42 43 40 35 22 15 11 10 10 10 8 6 6 9 16 23 17 12 11 11 13 12 9 5 3 2 3 5 13 22 22 16 16 18 20 24 30 37 43 47 52 60 67 60 55 55 56 50 56 65 66 59 56 66 87 125 185 247 236 166 94 52 41 51 66 76 82 87 91 100 106 108 108 117 141 172 184 171 148 143 133 128 133 134 152 166 167 152 117 109
373 368 344 271 188 113 60 34 27 30 39 50 58 61 64 58 52 49 52 62 89 129 164 193 217 230 238 236 224 209 200 210 221 218 198 169 158 160 173 192 212 227 258 249 219 179 142 106 88 87 101 117 111 64 30 24 59 140 252 280 249 192 141 125 151 163 155 130 102 79 67 61 61 63 68 66 44 27 17 14 9 12 14 14 13 14 14 19 21 16 10 4 4 3 2 3 4 8 11 16 26 34 31 26 26 29 31 34 34 36 36 37 38 47 49 50 50 50 52 50 51 48 43 39 43 54 77 119 189 233 209 149 85 46 47 55 65 75 85 95 108 111 107 102 98 103 116 128 132 128 123 120 117 129 167 184 197 190 156 130 114 107
155 128 121 94 61 31 11 6 5 13 28 44 57 64 65 63 57 50 42 42 49 65 94 133 164 174 179 187 192 191 193 194 199 200 193 183 177 179 188 203 216 220 233 240 232 203 157 128 110 104 112 126 92 42 16 21 66 175 231 227 199 163 119 118 132 135 126 110 90 79 75 76 82 93 111 112 85 52 30 33 29 28 24 18 13 17 13 16 21 21 16 9 7 7 7 5 5 11 19 28 33 32 24 19 21 26 28 27 27 29 29 28 29 36 42 42 39 38 37 32 26 22 21 23 31 47 73 109 169 198 188 145 82 54 49 54 62 69 78 83 87 86 76 70 70 75 81 85 90 101 114 122 124 142 178 188 174 145 118 114 111 101
49 26 18 13 9 4 1 0 0 8 23 43 63 73 70 65 59 53 45 38 34 39 52 74 94 112 128 135 134 142 167 181 191 198 199 195 187 178 180 199 210 215 218 225 229 209 168 140 124 121 125 126 73 28 7 18 59 158 187 178 163 162 110 104 105 102 94 93 84 80 85 98 115 128 128 121 114 102 79 84 75 55 31 13 13 13 14 17 19 19 17 14 13 12 8 5 4 7 11 18 26 18 10 7 12 19 19 17 17 19 20 20 22 26 26 24 21 19 17 13 8 7 9 12 18 32 59 95 136 162 166 148 90 57 46 47 51 51 51 51 51 48 38 37 41 46 53 61 73 91 113 133 146 166 176 164 126 105 94 86 85 86
9 3 1 1 0 0 0 0 1 6 18 37 55 63 63 58 52 48 50 43 35 30 30 39 40 62 73 63 46 62 101 135 161 183 198 204 196 182 175 182 195 209 219 226 226 204 162 122 95 95 112 101 71 35 11 28 84 151 178 163 130 144 102 82 76 75 68 75 76 84 101 123 140 145 145 150 163 171 152 143 125 94 48 12 11 16 19 18 21 20 15 11 10 10 5 3 3 5 8 17 16 11 6 6 9 15 17 16 14 12 12 11 10 9 10 10 9 9 8 7 8 9 9 10 11 16 35 61 89 115 132 117 81 55 40 34 30 24 20 19 23 18 16 17 21 24 31 44 61 85 114 126 134 134 129 114 82 62 52 54 62 66
0 0 0 0 0 0 0 0 2 6 15 26 34 38 40 39 35 34 44 47 42 30 21 26 32 44 48 33 11 16 43 77 112 147 176 196 197 186 172 170 181 199 220 237 242 216 162 93 41 45 68 70 63 47 28 51 96 135 155 141 102 105 86 66 56 58 53 56 69 89 113 138 152 156 161 171 189 191 175 154 129 99 55 26 16 17 20 14 21 22 21 17 10 9 6 4 4 4 5 8 9 8 6 6 10 13 13 10 8 8 8 7 6 6 6 7 7 8 8 9 9 10 10 10 10 12 22 39 61 84 95 81 57 33 18 15 11 7 5 3 7 8 8 9 9 12 18 29 45 66 89 98 93 79 64 48 39 36 40 43 42 37
0 0 0 0 0 0 1 1 4 9 15 20 20 18 22 31 31 33 41 50 51 37 29 33 41 43 34 18 13 20 33 52 76 109 136 162 178 178 170 163 169 187 212 236 246 237 203 147 89 70 71 67 57 43 33 50 70 90 96 74 68 67 53 31 13 23 27 36 54 81 102 116 125 129 134 143 152 154 145 122 90 73 56 37 20 8 11 9 12 16 18 16 11 10 7 5 5 6 6 6 7 8 8 11 15 15 10 7 8 8 8 8 8 8 8 9 10 12 11 11 11 11 12 11 12 15 22 31 44 51 47 35 24 17 11 7 4 3 3 3 4 5 6 7 8 11 15 19 24 35 41 36 32 32 30 28 31 31 28 24 22 21
0 0 0 0 1 1 2 4 10 16 20 24 28 32 43 64 73 76 72 68 64 50 45 47 46 38 23 20 27 36 46 56 70 102 126 146 165 174 169 160 161 175 199 224 238 236 223 199 158 127 103 84 65 45 33 29 30 33 32 20 23 23 18 8 0 4 8 12 22 38 52 56 54 55 76 102 108 100 84 69 43 34 29 25 15 2 3 4 6 9 13 12 11 10 8 7 8 8 8 9 11 13 13 16 18 16 8 9 9 9 9 9 9 8 9 9 10 14 14 13 13 13 12 11 12 12 13 19 21 17 11 6 3 2 3 3 2 2 3 4 4 4 5 7 9 12 12 11 12 15 16 14 14 18 23 25 23 21 22 21 21 23
0 1 1 1 3 6 11 18 25 33 41 49 63 81 105 129 146 150 143 132 120 97 73 53 37 26 24 38 53 65 75 86 105 129 148 166 182 188 182 173 168 172 187 212 232 240 236 220 185 143 109 84 62 42 31 23 18 13 8 2 1 2 2 1 0 1 1 2 3 5 11 16 27 48 76 76 68 51 30 25 15 9 7 6 4 4 4 4 6 11 13 15 14 12 10 11 11 11 12 13 15 16 18 22 23 15 12 10 10 10 10 9 9 9 8 9 7 9 9 10 11 9 7 6 4 3 2 0 0 1 1 0 0 0 0 1 1 1 2 2 3 3 3 5 6 8 11 12 12 13 14 16 18 24 26 24 23 23 24 27 31 36
4 7 10 14 20 32 43 54 63 70 78 92 111 137 166 191 211 217 217 214 201 178 154 128 100 77 85 100 113 127 146 165 183 198 209 213 212 205 196 187 180 178 185 202 222 239 246 233 184 135 97 69 45 26 20 17 12 7 3 1 0 0 0 0 0 0 0 0 1 0 2 10 27 44 45 43 41 36 17 9 6 5 5 4 5 6 8 13 24 30 26 20 16 15 15 17 22 26 26 19 19 21 27 33 30 18 12 9 9 8 7 6 6 5 4 4 3 3 2 1 2 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 2 3 4 5 7 9 11 13 15 17 19 24 27 27 24 24 25 25 28 31 35 41
13 18 24 31 49 68 85 98 107 115 127 142 163 188 211 230 250 261 266 270 273 268 256 239 218 208 207 209 211 215 235 254 264 264 254 236 214 206 197 187 181 182 188 199 215 231 242 228 177 124 83 52 35 19 9 5 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 8 24 40 49 42 32 29 15 6 3 4 6 5 7 10 13 16 24 29 28 23 18 15 14 16 22 29 32 22 18 19 25 32 22 12 7 6 5 4 3 2 2 2 1 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 4 6 7 9 10 12 13 14 16 21 24 23 19 17 20 22 26 28 26 26 28
13 17 21 22 39 59 79 99 122 142 159 178 199 218 231 250 268 281 290 300 306 310 309 303 296 297 298 296 292 289 294 299 298 290 272 249 230 215 200 186 180 182 188 198 210 219 222 209 172 124 75 40 25 15 8 3 0 2 2 1 0 0 0 0 0 0 0 1 1 3 6 11 20 30 35 32 25 19 11 6 4 4 5 8 12 17 21 23 25 23 20 17 14 10 9 9 9 10 10 10 9 9 10 7 3 3 3 3 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 2 1 1 1 2 3 3 4 4 5 5 5 7 8 8 8 9 9 10 11 12 10 11 11 11 12 13 13 13 13
4 5 6 7 12 20 31 48 70 95 125 148 166 185 194 210 229 251 277 304 325 331 329 325 328 327 329 330 326 322 321 321 313 295 270 248 231 218 206 191 184 184 189 199 208 197 196 183 156 118 71 42 23 10 4 2 0 3 4 3 1 0 0 0 0 1 2 5 9 16 25 33 36 40 41 36 28 21 15 11 9 7 9 15 22 27 29 26 22 19 17 13 11 10 8 5 5 3 3 3 3 3 4 4 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 4 4 4 4 3 5 5 5 5 6
0 0 0 1 2 5 10 16 23 34 43 53 66 82 97 115 140 172 208 251 282 299 307 312 323 323 324 327 326 326 326 324 314 290 263 235 214 201 192 186 187 191 197 205 213 194 176 154 126 97 66 41 21 7 1 0 0 1 3 3 2 1 0 0 0 1 3 7 16 29 44 57 65 70 70 62 50 38 27 20 17 15 16 20 25 26 21 16 12 9 7 8 8 9 10 10 7 5 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 2 2 1 1 1 2 2 2 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 5 5 5 7
0 0 0 0 0 0 0 0 4 7 8 9 9 13 23 35 48 64 96 134 167 193 217 234 249 256 263 275 287 294 302 305 297 276 246 215 195 185 176 176 181 191 205 217 216 203 181 150 108 74 50 32 17 7 2 1 0 0 0 1 0 0 0 0 0 0 2 8 18 30 41 68 92 108 115 103 85 64 44 30 19 13 12 14 15 12 7 5 4 4 4 4 5 6 7 8 10 9 9 8 7 7 7 6 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 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 1 1 2 4 5 5 5 6 7 9
1 1 0 1 1 0 0 0 0 1 2 3 1 1 3 7 10 12 20 36 51 66 80 101 120 137 153 172 191 214 239 255 256 240 215 189 173 170 169 169 170 177 191 201 205 199 181 149 101 62 35 19 13 10 5 2 0 0 0 0 0 0 0 0 1 2 5 9 16 25 34 54 85 122 154 140 118 92 64 37 18 8 5 5 5 4 3 2 2 3 3 2 2 3 4 6 9 10 10 10 10 9 8 8 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 8 8 8 7 7 6 4 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 1 1 3 4 5 6 7 8 9
2 1 1 1 1 2 1 1 2 3 3 3 2 4 4 3 1 1 2 6 10 14 13 18 29 44 59 76 90 120 156 184 199 190 172 155 145 146 151 154 159 167 179 187 190 184 166 134 91 54 27 10 4 1 0 0 0 0 0 0 0 0 0 1 4 8 13 20 35 39 46 62 87 122 148 135 104 70 40 22 10 4 2 2 2 2 2 2 2 2 2 1 1 1 2 3 3 4 6 6 6 6 6 6 7 8 9 10 10 10 11 12 11 11 12 11 10 9 10 10 11 12 12 11 10 8 6 4 2 1 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 1 3 6 7 8 9 11
4 11 10 8 9 9 8 9 12 13 13 16 22 30 35 31 20 15 16 20 26 25 20 16 13 13 23 34 44 60 85 113 141 143 134 123 115 117 125 135 146 158 167 172 171 158 134 101 68 42 23 8 2 0 0 0 0 0 0 0 2 4 5 8 13 19 27 37 44 46 50 56 63 79 84 72 49 25 7 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 3 4 5 4 4 5 7 8 10 10 10 10 10 9 9 12 15 14 13 11 9 7 5 3 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 11 12 13
5 6 11 16 17 18 21 25 31 43 60 87 117 132 124 99 82 71 60 55 60 55 46 36 24 14 22 28 34 43 55 70 96 107 107 100 91 91 98 111 127 139 141 138 126 105 79 55 36 23 12 5 1 0 0 0 1 2 4 7 10 11 13 16 22 31 39 43 42 41 38 31 24 23 20 14 8 2 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 1 1 1 1 1 1 0 0 1 3 5 5 5 7 9 10 11 13 16 14 13 11 9 7 5 4 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 9 11 13 14 13
7 8 9 11 15 20 26 43 74 107 115 126 132 132 128 122 114 107 103 100 91 85 76 61 42 33 35 38 41 45 48 56 70 80 85 83 78 76 80 91 103 105 98 85 68 49 34 22 13 6 1 0 0 0 1 2 3 4 7 12 15 14 14 16 20 27 31 31 28 23 15 7 4 3 1 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 1 1 2 4 6 8 9 10 8 9 10 9 7 7 6 5 4 4 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 1 0 1 2 3 4 6 8 9 10 11 12 10 10
9 10 11 12 16 22 31 56 86 98 91 89 94 105 116 115 110 103 98 92 91 95 98 95 86 75 67 62 58 53 52 53 56 62 69 72 71 67 62 60 58 53 47 39 32 25 19 12 5 1 0 0 0 1 1 1 2 3 5 7 6 6 7 8 10 15 17 16 12 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 3 4 5 5 6 6 5 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 7 9 10 10 10 11
11 12 13 15 17 20 27 38 49 50 53 54 60 76 99 101 96 92 89 86 82 87 95 102 106 112 110 99 85 71 62 54 48 48 51 54 52 47 40 33 23 16 14 15 16 16 14 9 3 1 1 2 2 2 3 2 2 2 3 3 1 0 1 3 6 8 8 8 7 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 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 1 1 1 0 0 1 1 2 4 7 10 10 9 8 8 7 6 6 5 5 5 4 3 2 1 1 0 0 0 0 0 1 2 1 1 1 1 2 2 2 3 3 3 5 7 8 7 9 12 14 14
14 15 17 18 17 16 16 18 18 18 20 22 26 35 45 65 79 83 81 77 75 79 84 85 85 90 92 90 86 77 67 55 44 36 33 29 24 21 19 17 12 9 8 9 8 9 8 5 2 1 2 4 4 5 5 5 4 5 5 3 2 0 1 5 9 9 5 3 8 4 1 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 1 3 5 9 14 17 17 15 13 11 10 9 9 8 6 4 3 2 1 1 0 0 0 0 0 1 2 1 1 2 2 2 3 3 3 5 5 6 9 11 11 10 11 12 14 15
16 18 19 19 17 15 14 13 11 10 9 8 8 10 11 32 54 67 72 67 69 73 76 75 69 68 64 54 50 46 43 40 36 31 25 19 12 6 7 5 5 6 7 11 6 4 3 1 0 0 1 2 3 3 4 4 4 5 5 3 2 2 4 10 14 14 14 14 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 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 1 2 3 4 7 13 18 19 18 17 16 15 14 13 12 10 7 4 2 1 1 1 1 1 1 1 1 1 1 2 4 5 6 5 5 7 8 10 11 13 15 13 12 12 13 14 15 18
16 17 18 18 18 18 18 18 15 13 10 9 8 6 6 12 21 31 46 52 59 66 68 72 62 50 40 31 26 21 19 20 23 24 23 20 13 5 3 3 3 4 5 8 5 3 2 0 0 0 0 0 0 0 1 1 1 1 0 1 3 5 8 14 16 16 15 17 14 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 1 2 3 5 5 7 9 14 17 16 17 18 18 17 17 15 14 12 9 6 3 2 1 0 0 1 2 2 3 2 2 4 5 6 7 8 9 10 12 13 13 12 10 10 11 12 13 15 16 17
17 17 17 18 20 23 27 28 29 29 24 14 12 9 6 5 5 6 16 27 40 52 55 60 54 44 33 25 20 14 11 10 12 13 15 14 11 9 8 8 6 3 3 3 2 1 1 0 0 0 1 3 5 4 4 3 2 1 2 5 8 10 12 18 20 18 17 14 9 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 2 4 6 8 9 12 14 15 16 17 17 17 17 17 17 15 14 12 8 5 3 1 1 2 2 3 4 4 4 4 6 7 10 12 13 13 13 13 12 10 9 9 10 11 11 13 15 15 14
19 21 23 25 27 30 34 40 48 53 51 39 28 17 10 7 5 6 6 10 16 22 35 40 40 38 34 32 25 18 12 9 9 9 8 8 8 12 16 15 12 7 6 5 3 2 1 1 2 4 7 11 15 18 19 18 16 17 20 25 30 30 29 30 30 28 23 16 7 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 13 17 19 19 20 20 19 19 20 19 19 18 15 11 7 4 3 2 2 2 2 2 2 3 4 6 8 10 11 12 14 13 11 10 10 9 10 11 12 12 12 13 13 12
22 29 35 41 46 50 54 60 68 72 69 64 53 34 18 10 7 6 6 6 6 5 12 19 23 26 27 29 26 21 17 11 11 11 11 10 8 9 11 13 13 12 10 6 1 1 1 1 3 6 9 12 15 19 24 31 36 42 50 58 62 57 50 44 41 37 26 14 5 1 2 2 1 1 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 2 3 6 9 12 17 21 24 25 24 23 23 22 22 21 19 16 13 9 6 4 2 1 1 1 1 1 1 2 4 6 6 7 9 12 13 11 11 13 11 10 13 15 14 13 13 11 11
23 34 44 54 65 77 88 93 96 91 80 68 59 42 23 14 10 9 9 8 5 3 2 2 4 7 11 12 13 14 17 11 9 10 13 15 11 9 8 9 11 12 13 14 13 8 3 0 0 1 1 4 6 7 9 19 28 35 44 55 56 53 47 38 28 20 19 13 5 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 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 1 1 2 4 9 14 19 22 22 24 24 23 22 22 20 17 15 11 8 5 3 2 1 1 2 2 2 2 4 5 6 7 7 10 13 11 10 12 12 10 9 12 17 19 20 20 16 15
28 39 49 60 71 81 94 101 97 82 63 50 41 31 19 13 9 6 4 4 2 1 0 0 0 0 1 2 2 4 6 6 6 8 11 13 13 11 9 9 9 12 15 20 26 22 11 3 0 0 0 0 1 1 2 2 5 11 20 37 37 34 29 23 19 23 21 15 8 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 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 1 1 6 12 17 20 20 21 21 21 21 22 20 17 15 11 8 6 5 4 3 3 3 3 3 5 5 5 6 7 13 19 19 16 15 13 11 8 8 11 16 22 28 32 26 21
32 40 51 62 72 72 76 73 62 46 33 23 17 13 10 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 8 8 7 7 6 9 15 23 32 29 17 6 1 0 0 0 1 3 3 3 3 7 15 31 36 37 34 28 25 24 21 16 9 4 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 16 17 18 17 16 17 17 17 18 16 13 11 9 7 6 5 5 6 7 7 6 6 6 8 11 21 36 34 31 26 20 14 11 9 11 14 18 25 31 31 24
34 43 55 69 82 75 68 59 46 29 19 10 6 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 4 4 4 3 3 3 5 11 16 15 10 5 4 3 3 3 2 6 9 12 14 15 19 24 29 33 38 35 28 21 13 8 4 2 0 0 0 1 0 0 0 0 0 0 0 0 1 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 1 2 4 6 9 13 14 14 12 11 12 15 17 17 16 15 12 9 7 6 7 9 9 8 6 6 8 12 24 45 52 43 37 33 28 24 20 15 12 11 16 21 25 26 22
37 44 53 69 85 80 69 57 45 27 14 6 2 2 3 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 3 2 5 14 20 22 22 17 13 10 9 8 11 17 21 21 17 15 17 18 15 21 23 19 13 3 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 11 10 9 10 11 13 16 18 19 19 17 14 11 10 9 10 10 9 7 9 13 23 38 51 47 45 44 47 54 42 27 18 12 12 15 17 17 18 16
46 52 60 71 79 78 69 54 37 22 11 5 1 1 3 7 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 4 4 5 8 15 26 36 39 38 32 27 24 23 24 24 27 31 29 25 19 17 18 12 8 6 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 1 1 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 1 1 2 2 6 8 10 11 12 14 16 18 21 22 22 22 21 19 16 14 14 19 15 17 24 38 54 52 49 49 52 55 54 46 34 24 16 11 6 5 7 9 10
62 67 71 77 82 82 72 52 31 18 9 3 0 1 7 13 15 10 2 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 2 4 9 10 10 7 3 6 17 24 27 29 24 30 37 37 31 34 39 44 48 49 48 40 30 26 22 16 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 2 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 2 4 6 8 9 11 12 14 17 20 23 26 29 28 28 32 41 40 33 31 37 48 53 52 52 54 57 55 52 48 39 27 19 11 4 1 2 3 4
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