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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
84 79 66 54 41 37 38 59 86 124 164 190 185 163 128 88 58 31 22 24 33 52 72 101 129 145 162 174 181 181 174 161 142 120 97 77 63 51 47 45 46 48 50 50 51 51 51 50 50 47 43 38 34 29 26 23 20 18 14 10 7 5 2 1 1 1 0 1 1 1 1 2 3 4 6 7 8 6 5 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 0 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 3 4 5 5 5 5 4 3 3 5 8 9 12 13 13 12 10 8 8 10 12 15 14 14 14 15 15 16 18 21 25 27 26 21 17 14 12 12 13 14 15 16 17 18 20 20 20 20 20 21 22 23 22 22 22 23 24 24 23 22 22 21 21 22 23 22 22 23 23 23 22 21 20 18 17 17 17 16 15 15 14 14 15 16 17 18 20 23 25 26 26 28 29 31 34 38 41 45 47 49 52 55 56 52 49 47 48 50 53 56 56 56 58 61 62 62 55 48 42 36 32 31 33 36 38 40 41 41 41 39 37 34 32 31 29 28 27 25 22 18 17 17 19 21 23 27 30 31 32 32 31 30 29 28 30 31 32 34 36 37 38 40 41 40 39 39 39 41 45 50 55 61 67 72 74 75 76 77 77 77 79 82 88 95 99 101 101 101 103 106 108 110 113 117 117 116 116 117 120 126 130 135 141 146 151 156 160 164 171 176 180 185 192 201 208 211 222 232 238 245 255 266 274 281 290 297 302 310 321 334 345 350 364 386 411 432 456 478 492 493 476 462 466 475 487 502 522 531 529 520 505 486 453 439 433 425 412 390 367 341 310 273 232 206 186 170 154 133 114 93 77 69 69 66 65 72 84 94 89 85 81 80 83 89 92 94 94 93 92 95 91 84 70 52 34 18 9 5 6 6 5 5 6 8 12 28 50 67 72 63 51 43 42 45 50 56 56 49 35 18 3 1 0 0 0 0 0 0 1 1 1 1 2 3 3 4 5 5 5 6 6 6 6 6 5 4 4 4 5 6 7 8 9 7 5 4 4 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 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
92 93 92 84 73 67 62 70 90 124 161 190 195 185 154 117 76 40 11 5 4 5 10 19 37 58 74 96 113 127 136 146 136 128 112 99 82 69 57 52 46 45 43 44 43 45 47 48 49 47 43 39 35 32 30 26 23 21 18 14 10 7 4 2 1 0 0 0 0 0 0 1 1 3 4 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 2 2 2 4 7 9 9 10 9 7 5 4 5 7 10 13 14 13 13 13 15 16 17 20 22 24 24 21 17 13 13 13 15 16 18 19 19 20 22 22 21 20 20 20 20 21 20 20 19 18 19 21 21 21 20 20 20 20 21 21 21 22 22 21 21 20 19 17 15 16 16 15 15 14 13 13 13 14 14 16 18 21 24 26 26 26 26 28 31 34 38 42 44 46 48 50 51 49 46 45 47 49 52 54 55 56 58 62 63 61 55 48 43 37 32 30 31 34 37 39 41 41 40 39 37 35 33 32 29 27 23 21 19 17 17 18 20 22 24 27 29 31 32 32 31 30 28 29 30 32 33 34 35 37 38 40 41 41 40 39 39 43 48 52 55 60 65 71 76 77 77 76 76 76 78 82 86 90 96 97 96 98 104 107 107 108 111 114 116 116 115 116 117 120 124 128 133 137 142 150 155 161 167 175 178 180 187 198 209 214 223 231 238 245 255 267 273 277 281 286 292 301 313 326 339 348 362 380 401 424 447 471 498 512 502 479 470 473 483 496 515 534 538 531 520 508 484 462 450 441 428 406 391 370 338 295 246 209 183 166 152 138 123 106 87 72 66 61 61 68 79 87 86 82 77 76 79 92 94 94 92 89 87 89 86 81 70 52 33 20 11 7 7 5 5 5 5 6 10 18 39 58 69 67 53 45 41 43 48 54 56 50 36 18 2 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 5 5 5 5 5 6 6 6 5 4 5 6 8 9 8 6 5 4 5 7 8 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 1 0 0 0 0 0 0 0 0
100 108 118 117 116 111 107 107 122 141 171 195 205 199 177 145 107 66 30 11 1 0 1 1 6 9 21 31 51 65 79 91 100 102 105 101 94 83 72 63 56 49 44 42 40 41 42 44 45 44 42 39 36 32 30 28 25 22 19 16 12 9 6 3 2 0 0 0 0 0 0 1 1 2 3 4 4 4 3 2 1 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 0 0 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 3 4 5 6 6 5 3 2 2 2 2 5 9 10 11 11 11 12 14 16 19 20 22 22 20 17 14 14 16 18 19 19 19 20 21 23 23 22 21 20 19 18 18 18 18 18 17 18 19 20 20 19 19 18 18 19 20 21 21 20 20 19 19 17 16 15 15 16 15 14 13 12 11 10 10 11 13 16 18 21 24 25 25 25 26 29 33 36 38 40 42 44 46 46 47 47 47 51 53 55 56 55 56 58 60 62 60 55 50 46 42 38 36 37 39 39 40 40 40 40 39 38 37 35 32 29 26 22 19 18 17 18 20 22 23 25 27 30 32 33 32 31 29 28 29 31 33 34 34 35 36 37 39 40 40 40 39 39 44 49 53 55 58 62 67 72 77 79 79 78 76 75 81 86 91 94 93 94 97 102 105 106 108 111 114 117 117 117 116 115 114 116 120 126 131 135 140 145 150 155 162 167 171 176 187 201 213 223 237 248 254 261 269 271 274 278 280 282 290 301 315 327 339 353 374 398 419 440 455 479 505 517 505 483 476 479 487 499 519 532 534 528 518 502 478 459 447 440 427 412 390 360 320 268 219 183 161 149 140 130 119 102 83 68 61 63 70 81 92 91 85 79 77 79 89 97 99 97 94 89 86 84 80 72 55 36 26 18 12 12 13 10 8 5 4 6 13 29 50 67 68 56 47 41 41 46 53 56 51 38 18 6 1 0 0 0 0 0 0 0 1 1 2 2 2 3 4 5 5 5 5 5 6 7 7 7 7 6 5 7 9 9 6 5 4 4 5 8 7 5 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 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
106 116 127 140 147 156 155 158 161 172 192 208 216 204 188 163 137 98 63 30 12 2 1 0 0 1 2 7 16 26 35 45 53 62 72 80 88 85 82 73 66 58 52 46 43 42 42 42 43 44 42 40 37 33 31 29 26 23 21 18 14 10 7 5 3 2 0 0 0 0 0 0 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 0 0 2 4 6 7 8 9 10 11 14 16 18 20 19 17 15 15 15 16 18 19 19 19 20 21 22 23 22 21 21 20 19 18 18 19 18 18 19 19 19 19 20 19 19 19 20 21 21 21 21 20 19 19 18 17 15 14 14 14 13 11 10 9 8 8 9 10 13 16 18 20 22 23 24 25 28 30 32 34 36 37 39 41 43 45 47 50 53 55 56 56 56 55 57 60 61 59 55 50 48 46 44 43 42 43 41 41 39 38 38 38 38 37 35 31 27 24 22 19 16 17 20 21 22 23 26 30 34 37 37 34 31 29 28 29 31 33 34 34 35 36 37 38 40 40 39 38 39 44 49 53 55 56 60 65 70 76 79 79 77 75 73 76 83 88 91 92 94 97 101 103 103 104 109 112 115 116 116 115 114 114 114 117 120 125 130 133 136 139 143 147 154 158 162 172 186 202 215 227 242 254 263 268 270 276 280 280 280 281 289 302 316 330 343 363 385 408 428 440 459 485 511 523 502 484 478 481 492 506 524 534 535 528 516 490 463 448 447 447 433 406 374 337 290 234 192 167 154 147 136 126 110 92 77 68 70 76 85 94 94 87 80 74 73 78 90 99 103 100 94 89 86 82 74 60 51 42 29 18 13 16 17 13 7 6 6 11 25 46 68 72 63 52 44 41 45 51 55 52 41 23 7 1 0 0 0 0 0 0 0 1 1 1 2 3 3 4 5 6 6 6 6 6 6 7 7 7 6 6 7 9 6 4 4 4 5 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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143 142 145 153 165 183 203 220 240 254 262 265 247 224 201 183 173 159 139 111 80 52 26 16 4 2 1 1 1 1 3 8 12 19 20 16 22 20 32 42 47 58 58 64 58 57 58 58 53 49 46 43 41 37 34 31 28 25 23 20 18 14 12 9 6 3 1 1 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 3 4 5 8 11 13 12 12 11 11 12 13 15 16 18 18 18 18 18 17 19 20 20 19 20 20 19 18 18 19 19 20 20 20 20 21 21 21 21 19 19 19 19 18 19 20 19 17 16 14 12 10 9 9 8 6 5 5 5 6 7 9 10 13 16 18 21 22 24 25 26 27 29 31 33 34 37 42 46 52 55 58 58 58 58 57 57 59 63 62 60 56 54 51 49 47 45 44 42 40 38 36 35 35 34 33 28 25 22 21 20 19 18 18 19 21 21 23 26 30 35 38 38 34 31 30 31 32 33 33 33 34 35 35 35 37 38 38 39 40 40 41 44 48 50 51 52 56 64 69 72 72 70 68 70 74 80 86 89 92 95 96 99 101 102 104 106 109 112 114 115 114 114 113 115 117 121 124 124 125 127 128 129 131 133 136 139 145 154 167 184 202 219 237 256 274 284 286 287 287 289 292 296 301 310 323 337 348 360 376 393 413 431 449 474 505 529 520 502 488 486 495 503 513 520 521 514 500 479 458 443 438 429 420 406 378 328 274 229 198 179 167 157 141 122 102 83 75 73 75 82 91 93 86 74 62 53 47 57 74 90 98 94 93 92 89 82 70 55 42 34 30 30 33 31 26 19 11 10 14 24 40 61 73 70 60 48 42 42 48 52 54 49 32 16 7 2 0 0 0 0 0 1 1 1 2 2 3 3 4 5 5 6 5 5 5 5 5 6 6 6 6 7 7 6 5 5 7 9 11 9 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 0 0 0 0 0 0 0 0 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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106 105 105 105 106 106 106 106 105 104 104 103 102 97 90 85 82 79 76 77 77 78 81 83 85 87 87 85 83 81 78 74 70 67 65 66 68 70 72 75 77 78 78 78 78 77 76 73 69 62 56 52 49 46 45 44 43 44 44 44 44 44 45 44 42 42 41 41 42 42 47 52 54 56 56 55 54 54 53 54 54 55 56 56 57 59 65 72 81 87 98 108 115 120 122 123 124 126 130 135 141 146 148 150 149 146 141 135 134 137 139 142 148 157 167 177 188 203 214 222 228 227 227 224 221 212 200 181 160 147 138 138 141 145 153 160 161 159 142 125 121 117 129 139 151 160 168 176 183 189 195 200 204 211 222 235 247 256 261 261 262 262 261 258 251 243 232 222 214 199 182 167 151 140 127 116 104 90 76 67 59 53 48 46 44 43 42 42 41 39 36 35 34 42 52 64 77 90 103 119 133 136 136 115 87 51 21 12 5 3 1 0 0 0 0 0 0 0 0 0 0 2 7 9 11 14 19 29 42 56 67 70 67 66 66 68 70 71 72 73 74 74 72 70 68 65 65 65 66 67 67 68 62 54 42 35 29 24 20 26 39 51 62 61 57 57 56 56 56 55 55 53 52 52 51 50 50 49 48 45 42 39 37 36 35 33 32 31 32 31 29 27 25 24 23 24 24 23 22 21 21 21 21 21 20 20 20 21 21 22 22 23 22 21 20 21 22 23 21 20 19 19 19 18 18 17 16 14 13 12 11 9 8 6 5 4 4 4 4 3 3 3 3 3 3 4 4 5 6 8 9 10 10 10 9 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 13 16 19 22 24 26 28 28 27 25 23 20 16 12 8 5 3 2 2 2 3 6 11 17 24 26 26 25 23 22 19 15 12 9 7 5 4 2 1 0 0 0 0 0 0 1 3 6 9 11 11 10 7 4 4 4 5 7 9 10 10 9 9 7 5 3 1 1 0 0 0 0 0 1 2 2 3 3 4 4 4 4 3 5 6 7 7 7 7 7 7 6 6 6 7 7 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 1 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 1
109 108 108 108 109 109 109 110 109 107 106 107 107 104 100 97 92 88 84 81 79 78 78 79 80 82 82 81 80 79 77 74 70 68 65 64 63 65 67 70 73 74 75 75 75 74 73 70 64 58 55 53 51 49 47 46 45 44 44 43 43 43 43 43 43 42 42 42 44 49 55 58 60 60 59 57 56 55 55 55 55 56 57 57 58 60 67 80 93 108 121 123 127 129 132 133 134 136 135 136 134 136 143 151 153 149 143 137 133 131 127 128 130 137 147 163 180 192 202 209 209 207 204 202 194 186 169 148 133 121 117 118 124 133 142 148 148 137 124 113 106 118 131 148 163 175 183 180 180 191 205 216 218 220 226 234 246 255 259 260 257 254 253 252 249 244 232 218 204 189 177 164 153 140 129 121 107 91 75 62 54 47 44 42 42 42 43 44 45 44 46 48 51 57 65 76 88 101 118 135 145 150 135 112 79 42 23 13 9 6 4 2 1 0 0 0 0 0 0 0 0 0 1 0 0 0 4 10 20 32 48 62 73 76 74 73 75 77 78 79 79 78 76 74 71 70 69 70 71 65 59 49 42 28 15 11 6 7 9 18 31 45 53 52 49 49 54 59 60 59 57 55 54 52 52 52 53 52 49 46 42 40 39 38 36 34 32 32 32 30 29 27 25 24 23 24 25 25 25 24 24 23 22 22 22 22 21 21 21 20 21 21 20 20 19 19 20 20 19 19 19 19 19 19 18 15 15 15 14 13 11 9 7 6 5 4 4 4 4 4 4 4 3 3 3 4 5 6 7 9 10 11 11 12 10 9 9 8 9 9 10 9 8 7 6 5 5 5 5 5 4 3 3 3 3 3 2 2 3 3 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 9 11 10 10 9 8 8 7 7 8 9 10 11 14 17 21 24 26 28 29 29 28 25 23 18 14 9 5 4 3 2 2 1 2 4 8 12 18 21 25 28 32 28 25 19 15 10 7 4 2 1 0 0 0 0 1 1 2 2 3 5 6 9 11 12 10 7 6 5 6 7 8 9 10 11 11 9 6 4 3 1 0 0 0 1 1 1 1 1 2 3 3 3 3 3 2 4 6 7 7 7 7 8 8 7 7 7 7 7 5 3 1 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 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
113 114 114 113 112 112 111 111 112 111 109 109 110 110 108 105 101 97 94 90 86 83 79 78 77 78 78 77 76 75 72 69 67 65 62 60 59 60 61 64 67 69 70 71 71 71 71 68 64 62 59 55 52 51 49 48 47 45 43 42 41 41 42 43 43 43 43 45 47 51 57 61 63 63 62 60 58 57 55 54 54 56 57 58 58 65 76 91 109 126 129 130 126 127 130 133 137 140 138 135 133 133 135 140 145 148 147 141 137 133 128 123 126 129 144 160 166 174 179 181 180 176 175 174 169 157 144 129 112 104 101 105 114 127 140 143 135 126 113 104 111 121 141 162 178 191 190 180 190 205 221 238 249 253 254 259 267 273 275 274 268 256 246 243 240 232 224 213 200 187 175 169 163 155 144 129 113 93 73 59 49 44 40 40 41 43 45 48 50 53 56 61 66 70 75 83 92 104 119 132 144 138 118 91 60 36 19 12 11 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 13 31 51 68 81 87 84 82 82 82 82 80 78 77 76 75 74 72 66 55 44 31 20 7 2 1 1 2 4 7 18 33 38 39 32 27 36 46 57 61 61 59 58 55 53 52 53 52 50 48 46 43 41 39 38 36 34 32 30 28 27 28 28 28 27 27 27 27 27 27 26 25 24 24 23 23 23 22 20 19 18 19 19 19 19 18 17 17 17 18 18 19 18 18 17 15 14 14 13 12 10 9 8 7 6 5 5 4 4 4 4 4 4 4 5 6 7 7 9 11 11 12 12 12 11 11 10 10 10 10 11 10 9 8 7 6 6 5 5 4 4 3 2 2 2 2 2 2 3 3 3 2 2 3 4 4 4 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 9 11 13 13 13 12 11 11 10 9 8 8 10 12 14 17 22 25 27 27 26 26 25 22 19 14 10 6 4 2 2 2 2 2 3 4 6 9 12 17 23 31 38 34 28 21 15 9 5 2 1 0 0 0 1 1 1 2 3 3 4 4 5 7 8 9 9 8 6 4 5 6 7 8 10 11 11 9 6 3 2 1 0 0 0 1 1 1 1 2 2 3 2 2 1 1 1 2 4 5 6 6 6 5 5 5 6 6 5 5 3 2 1 0 0 0 0 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
118 120 120 120 118 116 115 113 112 112 111 110 111 112 112 110 108 104 101 98 93 89 85 82 79 77 76 75 75 75 72 69 66 63 60 58 58 56 57 58 61 63 64 65 67 70 72 70 68 64 61 58 55 53 51 50 48 45 43 41 39 39 40 41 42 43 45 48 53 60 62 64 65 65 64 62 59 56 54 53 52 53 56 59 66 73 87 102 114 121 124 114 109 112 116 122 126 129 131 130 128 127 128 131 136 142 147 145 141 137 134 135 137 145 155 156 156 151 147 148 148 146 146 148 147 139 128 114 103 92 91 94 103 116 124 124 119 108 100 100 105 124 145 169 187 195 199 212 225 241 262 278 289 292 288 286 290 300 306 302 289 275 256 241 223 205 199 195 191 183 175 169 162 157 147 135 118 99 77 57 46 39 38 38 41 44 48 53 57 62 66 70 74 78 82 86 94 106 117 126 128 116 96 69 45 27 15 13 11 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 23 38 56 73 80 84 83 82 82 81 81 81 80 78 71 65 50 36 25 15 8 2 1 0 0 0 0 1 2 5 12 16 15 17 20 35 52 54 57 59 60 58 54 51 50 50 51 52 50 46 43 40 37 33 32 31 30 29 28 28 28 28 29 29 29 28 27 27 27 26 26 25 24 23 23 21 19 18 18 18 18 19 18 16 16 15 15 16 16 17 18 18 16 15 14 13 11 10 8 8 7 7 7 6 6 6 5 5 5 5 5 6 7 8 7 8 8 9 9 10 12 13 13 12 11 9 8 7 7 7 7 7 7 6 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 14 15 15 15 14 13 12 11 10 9 11 13 15 17 19 21 22 23 25 24 23 20 17 12 8 5 4 3 3 3 3 4 4 5 6 7 8 13 19 26 32 32 32 27 20 12 6 3 1 0 0 1 2 2 4 6 7 6 3 3 4 4 5 4 3 3 3 3 4 5 7 9 10 11 11 9 6 4 2 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 2 3 5 5 6 5 4 3 2 2 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1
122 123 126 124 123 121 119 118 116 113 111 110 110 110 110 110 109 108 107 103 99 95 91 88 84 80 77 75 74 74 72 69 66 63 61 59 57 55 55 55 56 56 56 59 62 66 69 71 72 68 64 60 57 55 53 51 49 46 43 41 39 39 39 40 43 45 48 52 57 61 64 65 66 66 64 62 59 56 54 53 53 54 56 60 68 85 101 106 110 106 98 92 93 95 105 113 121 125 123 120 121 122 123 126 127 125 129 136 140 139 138 142 151 157 160 163 144 126 121 122 130 137 142 146 144 135 124 109 94 84 79 82 88 96 100 98 92 88 87 89 102 118 142 166 181 195 210 224 243 266 283 293 298 297 291 282 282 290 297 300 299 286 264 240 219 205 193 184 178 173 167 156 142 133 129 124 114 95 72 55 44 39 38 40 46 52 57 61 66 71 74 76 76 78 84 90 100 110 116 118 110 97 71 48 35 23 17 13 12 10 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 20 37 59 78 86 86 84 84 84 84 83 82 74 64 50 35 20 5 3 1 1 0 0 0 0 0 1 2 5 7 10 10 10 12 18 26 32 40 48 55 59 56 53 52 51 52 53 49 45 42 39 35 33 31 31 32 32 32 31 29 28 28 28 28 28 27 26 26 26 25 24 24 23 21 20 19 19 19 18 18 17 16 15 15 15 15 15 16 17 17 16 15 14 13 11 10 9 8 7 7 7 7 6 6 6 6 6 5 5 6 6 6 7 6 6 7 8 8 8 8 10 12 11 10 8 7 6 6 6 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 7 7 8 7 7 8 9 10 10 10 9 9 9 9 9 10 9 9 9 9 9 10 10 13 15 16 16 16 16 16 14 13 12 12 13 13 14 15 16 17 18 19 19 19 19 18 16 13 10 6 5 5 5 5 5 6 5 5 3 4 6 12 20 24 27 28 28 25 20 9 4 2 2 2 2 3 4 4 6 7 7 5 3 2 2 4 5 5 5 3 3 4 5 6 8 9 10 10 9 7 5 3 2 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 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 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
121 122 123 123 121 120 119 119 118 116 113 111 109 109 108 107 108 109 108 105 101 98 95 92 88 83 79 76 74 72 70 67 64 61 59 57 56 55 55 55 55 55 55 57 58 62 65 70 71 69 67 63 60 57 54 52 49 46 43 41 40 39 39 40 42 47 51 56 59 62 64 65 66 67 66 63 59 56 54 53 52 53 56 63 77 94 103 107 95 82 78 79 86 93 101 109 118 118 114 113 114 118 124 127 125 122 121 122 124 128 134 144 153 161 166 158 141 131 127 130 135 143 152 152 145 137 118 101 84 69 70 72 81 89 91 85 83 81 80 84 95 114 136 153 169 182 193 207 226 241 250 258 261 258 249 247 250 254 263 271 271 265 244 225 210 194 183 174 174 171 164 153 141 132 121 110 97 82 66 51 44 43 45 51 56 64 70 73 76 77 79 76 75 80 86 95 103 109 112 102 91 71 51 38 26 21 17 15 13 11 10 8 6 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 19 39 62 80 92 94 90 87 85 82 77 68 53 37 23 10 3 1 0 0 0 0 0 0 0 1 3 5 9 13 13 11 8 7 11 16 24 36 53 63 60 58 55 53 52 50 47 44 41 38 36 34 33 34 34 34 33 32 31 31 30 28 27 26 26 26 26 25 25 24 23 23 21 19 19 19 19 18 17 17 16 16 15 15 15 15 16 16 16 15 14 14 13 12 11 10 9 7 7 6 6 6 6 5 5 5 4 4 5 5 6 6 6 7 7 7 8 8 8 10 11 10 9 7 7 6 6 5 4 4 3 3 2 2 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 5 6 7 7 7 7 7 7 8 9 9 10 10 11 10 10 10 10 10 11 11 10 10 10 10 11 12 15 17 17 18 19 19 18 16 14 13 12 12 12 13 14 16 17 18 17 16 17 17 17 15 13 11 9 9 11 10 9 8 7 6 4 2 2 5 8 11 13 15 16 17 15 12 7 3 2 1 1 2 3 5 6 9 9 6 4 4 3 2 4 6 6 5 5 6 7 8 7 7 8 8 7 6 4 2 1 0 0 0 0 1 2 3 2 1 1 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 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 1
120 120 120 119 119 118 117 119 119 117 115 114 113 112 110 108 107 108 108 107 104 102 99 96 92 88 83 77 73 70 67 65 63 60 57 55 53 53 52 52 52 52 52 53 54 56 60 64 68 69 68 65 64 61 57 54 51 47 43 42 40 39 39 40 42 47 53 58 61 62 63 64 65 66 66 63 60 56 53 51 49 49 53 60 77 98 106 97 84 72 64 67 77 89 98 105 108 109 111 110 111 113 119 123 124 121 119 118 119 124 130 138 150 160 165 162 155 146 145 146 145 147 138 124 108 87 78 75 65 62 61 73 85 94 101 101 96 90 88 92 98 107 120 138 156 170 180 189 198 204 218 225 223 218 216 214 214 221 227 228 225 216 205 193 179 172 165 167 171 172 170 162 152 137 121 104 88 74 60 51 53 56 63 69 77 83 85 86 83 81 78 76 78 82 88 95 100 105 94 84 71 57 44 32 25 20 18 16 14 13 11 10 8 6 5 4 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 3 6 14 26 40 57 73 90 95 95 85 76 65 54 37 22 15 8 4 1 0 0 0 0 0 0 0 0 1 2 5 10 15 17 16 14 12 13 15 22 31 45 56 59 60 56 53 50 47 44 42 40 39 39 38 38 37 35 33 32 30 29 29 28 27 26 25 25 24 24 24 23 22 21 19 18 19 19 19 17 16 15 15 15 14 14 14 15 15 16 16 15 15 15 14 13 12 10 8 7 7 7 6 6 5 5 4 4 4 4 5 6 7 8 9 10 10 10 11 12 12 11 11 10 9 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 5 5 6 6 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 11 13 14 16 18 19 21 22 23 23 22 22 19 16 14 14 15 16 18 19 20 20 21 19 18 17 15 13 13 15 16 18 16 13 11 9 7 4 2 1 2 3 5 5 5 5 4 5 6 5 3 2 1 0 1 2 4 5 7 8 6 5 5 5 4 4 4 3 2 4 5 5 5 4 4 4 4 4 3 2 1 1 0 0 0 1 2 3 5 4 4 2 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 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 0 0 0 0 0 0 0 0 0
121 120 119 118 118 117 118 120 118 115 114 114 115 116 113 110 110 109 108 107 105 103 100 99 97 93 88 83 76 69 66 63 60 58 55 53 52 51 49 48 48 47 47 48 49 51 54 59 64 68 68 68 67 64 61 57 53 49 45 43 42 41 41 42 45 50 55 58 61 63 64 65 66 67 65 63 59 55 51 47 46 47 49 62 79 92 97 92 79 65 56 51 63 79 93 97 100 102 104 108 112 115 118 120 120 119 117 116 120 125 135 145 150 154 159 160 159 157 155 149 146 131 108 77 47 34 30 28 41 50 66 78 92 106 112 112 107 102 101 103 108 114 125 143 160 180 195 204 210 220 231 234 232 227 219 208 199 202 205 206 199 189 176 163 161 157 159 162 165 168 163 155 141 125 108 90 76 67 62 65 69 76 83 89 94 95 96 87 81 76 72 73 74 80 86 88 90 86 79 71 62 52 41 33 25 22 20 19 17 15 12 11 9 8 7 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 1 2 5 9 15 23 29 35 45 58 67 70 65 54 38 21 17 14 11 7 4 1 0 0 0 0 0 0 0 0 1 2 5 9 15 19 20 19 19 21 25 36 51 60 65 64 61 56 50 47 44 42 41 41 41 40 40 38 37 35 34 32 31 29 28 27 26 25 25 24 24 23 22 21 20 19 19 19 18 18 17 16 14 14 14 14 13 13 13 13 14 15 16 16 16 14 13 11 10 8 8 7 7 7 6 6 5 5 5 5 6 7 8 9 11 11 12 13 13 14 15 13 11 9 8 8 7 6 5 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 12 13 12 12 13 14 16 18 20 21 23 24 25 27 28 28 27 25 22 19 17 17 18 19 19 20 22 25 22 20 20 21 22 22 21 20 18 16 14 11 8 6 4 2 1 2 4 6 6 6 4 3 2 1 1 1 0 0 1 2 4 5 7 7 7 6 6 5 4 2 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
118 118 119 118 117 116 114 111 112 112 111 112 113 113 114 114 113 113 111 108 106 106 106 105 103 100 95 89 83 77 71 65 62 58 55 53 50 46 44 43 43 43 43 44 46 47 51 55 59 63 66 68 67 66 63 59 55 51 48 45 44 43 43 45 48 53 57 60 63 65 67 68 69 67 66 63 59 55 50 46 44 45 51 61 75 88 90 85 75 65 57 56 57 63 74 83 86 88 96 103 107 110 112 114 114 114 115 120 124 131 140 148 154 155 155 159 163 162 157 147 130 115 88 52 35 26 20 26 39 56 73 85 98 102 107 106 102 102 105 114 128 141 158 173 199 224 237 249 257 265 268 270 271 263 249 231 216 204 196 188 183 175 163 161 160 160 160 159 160 154 144 129 113 98 81 70 67 66 70 75 85 94 100 105 101 99 88 78 72 66 66 66 70 75 79 81 80 78 74 68 61 52 44 35 30 27 25 23 21 18 16 14 12 10 9 9 8 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 12 14 18 23 28 35 40 43 38 29 21 15 11 10 7 4 2 0 0 0 0 0 0 0 0 1 1 5 9 13 16 17 19 21 26 43 57 66 70 67 63 58 52 48 44 43 42 41 41 42 41 40 38 36 34 33 31 30 27 25 24 24 23 23 23 22 21 20 19 19 18 18 18 17 16 15 14 14 14 14 14 13 13 13 14 14 15 15 14 13 12 10 9 8 8 7 7 7 7 7 7 8 8 9 10 10 10 11 12 12 12 12 13 13 14 13 11 10 9 7 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 7 8 8 7 8 8 8 8 9 9 10 11 14 14 14 13 13 13 14 15 16 17 19 20 21 23 25 26 27 29 33 36 35 34 30 27 24 22 20 20 21 22 24 26 27 23 23 28 32 33 31 27 21 14 13 12 10 8 5 2 1 2 3 6 9 10 11 8 4 2 1 1 1 0 0 0 1 4 6 9 7 6 5 5 4 2 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
114 114 114 114 114 113 112 113 113 113 111 110 111 111 111 112 114 115 112 110 109 110 111 109 108 107 103 96 89 83 77 72 66 61 57 53 49 46 42 39 39 39 39 40 43 45 47 51 55 59 62 65 66 66 65 62 59 54 49 46 45 45 45 47 51 56 59 62 65 67 69 70 70 69 67 64 60 55 51 46 44 46 51 60 73 83 88 84 77 71 68 67 75 83 84 85 87 91 95 96 99 101 104 107 108 110 114 121 130 138 145 152 147 141 145 152 159 162 160 145 125 103 80 67 54 51 52 57 66 71 79 91 92 94 97 98 103 105 120 141 162 186 207 233 261 270 283 286 292 290 291 288 282 277 269 259 234 212 194 179 173 167 172 176 173 169 162 157 147 135 119 100 85 72 64 62 65 76 84 92 100 105 111 104 98 88 77 68 60 60 61 64 68 73 77 78 78 77 74 70 64 57 49 42 36 32 29 26 24 22 20 18 16 14 12 11 9 7 5 3 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 2 2 4 5 6 8 10 15 22 26 27 25 19 13 9 6 4 3 2 1 0 0 0 0 0 0 0 1 2 4 6 9 12 14 22 32 54 74 71 66 61 56 51 46 44 43 42 42 43 43 42 40 39 37 36 34 31 29 27 25 23 23 23 22 21 21 20 19 18 18 18 18 17 16 15 15 14 14 14 15 14 13 13 13 14 15 15 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 8 7 8 10 11 12 11 10 9 9 10 10 9 9 9 9 8 7 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 5 6 6 7 8 8 8 9 9 9 8 8 9 10 13 17 20 22 20 18 17 17 18 20 22 24 24 25 25 26 28 31 34 38 41 42 41 35 30 26 24 22 23 23 26 28 29 29 29 32 39 42 40 34 27 19 12 9 7 6 4 2 1 0 1 3 6 10 11 11 7 3 2 2 1 0 0 1 2 3 6 7 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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