Vorticity
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nan 13 14 14 15 15 15 14 14 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 11 11 12 12 13 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 12 12 12 11 12 13 14 15 15 16 15 15 15 15 15 15 15 15 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 9 6 1 -3 -6 -7 -7 -6 -3 0 5 11 15 18 23 29 34 35 35 34 31 28 25 21 17 15 14 14 12 nan
nan 13 13 14 14 15 15 15 14 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 11 12 13 13 13 12 12 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 13 12 13 13 13 14 15 15 15 15 15 15 15 15 15 14 13 12 11 11 10 9 9 9 9 9 9 9 10 11 12 13 14 13 10 6 2 -2 -4 -6 -7 -8 -8 -5 -2 1 3 8 15 21 28 34 38 39 38 38 38 34 31 29 27 24 nan
nan 13 13 13 14 14 14 14 14 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 12 11 10 10 9 10 10 10 10 10 11 12 13 14 14 13 12 10 8 6 5 3 2 -0 -2 -4 -5 -4 -4 -3 -2 1 7 16 24 29 33 37 40 41 40 39 38 38 37 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 2 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 2 3 5 7 10 13 16 17 17 16 16 16 17 17 16 16 16 16 15 13 11 9 10 10 9 8 7 6 5 4 4 9 11 13 14 15 13 10 8 8 8 8 5 3 2 3 3 2 1 1 0 0 0 2 1 1 0 0 0 0 0 0 0 0 2 6 7 8 9 12 16 16 16 15 12 9 7 8 9 10 11 10 9 8 6 5 4 5 4 3 3 2 11 78 205 300 328 302 334 460 515 471 383 354 302 272 255 221 170 129 70 34 28 78 179 295 357 344 322 319 314 305 296 294 289 276 267 270 295 360 467 624 792 903 981 1021 1036 1052 1045 1041 1044 1049 1046 1002 933
2 2 1 1 0 1 0 1 1 1 1 2 2 3 3 3 3 4 5 6 8 10 12 15 15 14 14 15 15 16 16 15 16 18 18 16 15 12 11 10 11 8 6 4 3 3 4 5 6 9 11 14 16 17 17 15 13 11 9 6 4 3 2 3 2 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 4 7 8 8 12 14 15 15 13 11 9 8 8 8 9 10 10 9 7 6 5 4 4 4 4 3 2 1 38 117 230 317 266 240 284 388 426 305 269 261 231 209 192 148 105 65 41 43 78 141 220 297 321 295 281 283 279 274 270 267 256 246 244 262 312 402 598 749 864 943 982 998 1016 1018 1022 1028 1014 986 917 836
4 2 1 0 1 1 2 2 2 2 2 3 2 3 3 3 4 6 5 5 6 8 10 11 11 11 11 12 12 14 15 16 17 19 19 18 16 14 12 11 9 7 6 4 3 3 5 8 13 17 18 21 23 23 22 20 17 14 10 7 5 3 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 3 5 8 11 15 16 16 14 13 11 9 8 8 8 9 9 9 8 7 6 4 3 3 3 4 3 2 2 14 63 164 284 264 202 171 235 369 297 199 208 221 184 164 140 109 83 70 76 102 145 202 263 295 284 262 258 257 254 254 255 244 237 240 259 306 372 516 658 785 930 985 1006 1007 1012 1019 1008 953 873 786 702
5 4 4 4 5 4 4 4 3 3 3 3 3 2 2 2 2 5 4 4 4 5 7 7 7 7 8 9 9 11 12 14 16 18 18 18 17 15 14 13 10 9 8 5 3 4 7 14 23 30 34 31 30 28 25 20 18 16 15 11 7 5 3 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 3 5 9 13 15 16 14 12 10 8 7 6 7 8 8 8 8 7 6 4 3 3 3 3 4 3 2 2 25 109 212 260 228 154 131 254 313 196 124 189 184 148 132 119 107 100 106 126 154 196 242 271 271 260 254 253 254 258 264 260 257 266 299 339 395 471 564 664 845 930 965 979 990 989 955 879 776 681 612
5 5 5 5 6 6 5 4 3 2 3 3 3 2 1 1 2 3 3 2 2 3 4 5 5 5 6 7 8 9 10 12 14 16 15 15 15 15 14 13 11 12 12 12 10 10 15 23 32 38 36 31 28 27 23 17 14 14 15 14 10 6 2 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 2 6 10 13 14 12 10 8 7 6 5 6 6 7 8 7 6 5 4 3 2 2 2 3 4 3 2 5 60 151 231 237 149 97 156 289 289 149 131 167 146 131 131 132 136 141 147 160 185 216 236 247 251 255 261 267 266 269 283 303 317 356 389 425 476 537 604 738 857 933 944 950 946 912 836 734 669 612
6 5 5 5 5 5 4 3 2 2 2 2 1 1 0 0 0 1 1 1 1 2 2 3 3 4 4 6 7 7 8 9 10 11 10 11 12 12 12 11 13 18 23 26 26 25 27 32 39 45 41 32 26 22 19 15 11 10 13 14 10 5 2 1 1 1 1 0 0 0 0 0 1 2 2 1 1 1 1 0 0 0 0 0 2 5 9 12 11 10 8 6 5 4 4 4 5 7 7 6 5 5 4 3 2 1 1 2 3 3 2 3 21 86 171 219 184 108 102 195 291 221 89 115 138 137 146 154 162 162 160 165 180 200 211 219 230 245 266 275 278 286 307 351 381 417 446 467 506 547 605 702 817 909 906 911 907 873 804 732 685 645
5 5 5 5 5 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 6 6 6 9 12 12 12 13 19 25 28 32 38 43 47 45 38 30 27 29 32 31 27 22 18 15 14 10 10 12 10 5 2 1 1 1 0 0 0 0 0 0 1 2 3 3 2 2 1 0 0 0 0 0 0 1 2 4 7 8 7 5 3 2 2 3 4 5 7 7 5 4 4 4 3 2 1 0 1 2 3 3 3 7 41 113 180 200 147 108 126 201 248 104 58 99 129 156 168 173 172 169 169 181 192 199 202 208 226 252 270 281 290 309 361 404 438 468 501 520 551 608 696 822 864 882 881 856 812 757 722 714 719
3 3 4 4 3 3 3 2 2 2 2 2 3 4 3 3 4 3 3 3 1 1 1 1 1 2 3 7 11 13 16 22 29 34 39 44 50 54 55 55 56 58 57 61 52 37 23 16 15 16 17 17 16 12 10 8 8 10 11 7 3 4 4 3 2 0 0 0 0 0 0 3 4 4 3 3 2 0 0 0 0 0 0 0 0 1 1 3 4 3 2 1 1 1 2 3 5 8 9 7 5 4 4 3 2 0 0 0 1 2 3 2 4 16 55 125 188 198 161 122 127 207 173 77 47 84 133 162 172 173 172 169 175 182 187 188 192 205 223 244 266 284 309 344 378 406 442 468 493 533 601 700 793 845 872 874 842 774 724 703 716 762
3 3 3 3 3 3 2 2 3 5 10 17 24 31 32 26 22 19 16 16 18 20 19 18 24 29 31 33 36 40 43 50 55 57 57 58 63 64 62 59 57 53 49 53 45 32 18 8 5 7 10 12 13 9 5 5 7 12 14 11 12 13 13 11 8 5 3 1 0 0 1 4 5 5 4 3 1 0 0 0 0 0 0 0 0 1 1 4 5 4 2 1 1 2 3 5 8 13 12 8 6 5 4 2 1 1 0 0 1 2 2 2 3 5 16 72 139 188 197 173 152 176 197 145 40 46 88 131 159 159 164 165 167 171 179 182 182 188 199 217 249 277 304 330 350 373 410 439 463 499 574 677 769 833 861 854 791 723 675 662 685 760
3 3 3 3 2 2 2 5 12 29 50 69 78 69 51 37 31 29 26 26 36 48 56 58 56 56 61 62 57 49 44 46 47 46 43 42 42 40 42 46 48 45 43 42 39 32 23 11 6 6 8 10 11 6 4 5 10 17 20 21 23 23 22 21 18 15 12 7 3 2 2 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 2 4 5 5 4 1 1 2 3 7 14 17 14 9 7 6 4 2 2 1 0 0 0 1 2 2 2 2 7 35 86 147 191 210 212 213 223 216 108 68 83 118 150 144 148 159 170 161 167 171 175 179 190 208 236 268 300 327 343 365 388 407 427 466 541 637 734 796 812 789 739 692 666 669 699 764
11 8 8 7 6 7 10 20 44 65 75 76 69 61 50 39 30 24 19 20 31 46 56 59 59 53 47 43 40 36 33 32 33 34 35 36 36 35 36 38 43 44 43 42 39 35 30 19 12 9 9 11 9 6 4 6 12 22 23 25 26 25 22 22 21 19 17 14 9 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 1 2 3 4 3 3 2 0 1 2 4 10 19 19 14 8 5 5 3 2 2 1 0 0 0 0 1 2 3 2 4 14 38 99 156 200 232 244 239 225 165 115 106 122 147 142 132 135 182 167 164 165 169 180 192 211 237 268 297 319 339 359 377 393 405 438 497 584 675 721 758 760 727 689 739 755 768 794
18 18 16 15 18 26 45 74 89 91 86 84 88 71 54 39 28 18 11 13 23 36 51 62 64 57 50 42 37 33 31 29 31 35 36 36 35 37 39 40 44 46 47 46 44 43 37 28 20 14 12 13 12 8 6 7 12 17 21 23 24 23 19 18 17 15 13 13 11 9 7 6 4 3 2 1 0 0 0 0 0 0 0 2 3 4 5 5 3 3 1 1 2 3 6 16 20 17 10 6 5 4 2 2 1 0 1 1 0 0 0 2 2 2 2 3 10 55 104 148 187 228 244 228 189 142 125 110 120 134 139 101 153 167 166 161 157 177 193 215 243 275 291 306 324 342 359 377 387 410 458 537 641 710 757 770 747 722 775 839 873 857
13 14 15 16 21 31 48 64 72 77 85 100 100 79 57 39 25 14 9 11 18 30 45 61 64 59 51 43 38 32 32 30 29 29 32 33 31 31 36 43 48 52 55 54 49 49 41 30 21 16 15 16 16 13 11 10 11 14 17 19 20 20 17 15 12 10 8 8 8 8 8 8 7 6 5 4 3 1 1 1 2 2 3 4 4 6 6 5 4 3 2 2 3 6 12 21 23 19 15 12 11 8 6 4 4 2 1 1 2 3 2 3 4 5 4 3 4 24 61 109 145 191 225 235 217 172 149 123 109 121 176 132 131 145 157 156 154 170 192 216 245 270 282 294 306 317 330 350 372 401 449 520 603 680 738 762 742 742 792 877 936 898
9 10 10 11 13 17 24 33 49 65 81 106 110 95 70 43 27 17 13 12 15 23 36 45 55 56 50 44 43 33 31 31 29 28 31 33 33 32 35 41 50 57 61 60 56 49 41 31 22 17 16 17 17 16 14 13 12 13 13 14 17 18 17 14 11 6 5 5 5 5 6 8 8 8 8 7 5 4 2 2 3 4 6 6 6 7 7 6 4 2 1 1 4 13 21 25 23 21 25 21 16 13 10 7 7 5 2 2 4 5 5 5 5 4 4 3 4 14 40 88 119 157 197 226 224 200 180 153 114 106 169 165 133 96 105 124 145 170 192 218 241 258 269 276 282 283 297 326 363 402 460 519 574 622 662 676 690 728 800 882 900 879
8 9 9 9 10 10 13 19 37 60 79 110 127 117 85 50 29 21 17 15 15 21 34 43 50 53 50 42 42 36 33 32 31 31 35 35 34 36 38 42 51 59 63 62 55 46 37 30 23 18 16 16 17 17 15 14 14 15 16 17 19 19 18 15 11 7 5 3 3 3 4 5 6 6 6 4 2 1 1 1 2 2 3 4 5 7 8 6 4 1 0 0 4 18 30 33 26 20 22 21 17 14 12 8 5 4 2 1 4 5 6 7 7 4 3 3 4 10 33 68 100 135 177 200 200 197 193 165 80 81 126 164 159 60 51 72 112 162 191 212 227 237 245 246 241 240 258 297 350 400 463 523 558 554 561 580 625 697 769 809 818 827
8 9 10 10 10 10 11 13 25 48 73 109 143 137 98 61 37 25 21 19 19 23 31 37 43 46 44 41 39 36 34 34 33 32 30 30 33 37 41 45 53 61 63 61 53 44 36 29 24 20 17 16 15 15 15 14 16 19 22 23 22 21 18 15 12 9 5 4 3 3 3 3 2 1 0 0 0 0 0 0 0 1 2 2 3 5 7 6 4 1 0 0 6 18 33 46 40 32 25 20 19 14 10 6 3 1 0 0 2 4 6 8 10 9 7 4 4 8 32 62 92 121 181 195 194 179 154 139 66 54 102 183 188 102 55 43 64 132 165 189 203 210 219 214 206 206 228 276 327 384 448 504 518 497 499 534 591 644 680 698 731 780
7 8 9 9 9 9 9 10 16 30 52 81 122 128 95 67 47 33 26 25 26 28 29 34 40 46 43 42 40 39 37 37 35 33 30 28 29 33 41 50 60 65 62 62 55 45 35 29 25 21 18 16 14 14 14 13 14 18 21 21 22 22 19 15 11 8 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 2 0 1 4 13 29 49 48 39 27 21 23 15 9 5 3 1 0 1 2 4 7 10 12 12 9 5 5 15 38 70 103 114 178 218 229 208 172 143 97 74 111 228 182 119 77 51 41 87 119 148 174 186 197 195 187 182 201 252 304 361 419 466 465 461 469 497 544 573 605 638 681 751
7 7 7 9 10 9 9 10 13 18 28 45 68 83 79 69 58 44 34 31 33 31 29 30 37 47 46 47 46 43 39 36 35 34 31 28 28 32 41 53 66 75 67 63 57 48 39 30 25 21 18 16 14 12 11 11 11 13 15 17 19 20 18 14 10 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 0 1 6 16 34 51 52 42 29 25 22 15 9 4 3 1 0 1 2 4 7 9 10 10 8 5 8 21 51 94 120 126 162 211 253 241 230 206 168 133 167 195 148 112 112 78 63 65 70 91 152 175 187 187 180 171 200 242 291 343 391 424 441 446 449 462 489 520 572 631 672 728
6 6 7 7 8 8 8 7 8 11 14 30 51 68 75 69 63 52 41 35 32 28 25 26 31 38 44 48 50 48 42 38 37 34 30 26 26 30 39 52 68 84 77 67 58 48 38 30 24 21 19 17 13 11 10 10 10 11 11 13 15 16 17 15 12 9 7 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 7 19 38 55 64 63 57 49 37 28 17 7 3 2 1 1 1 1 3 4 7 9 10 9 7 8 20 46 86 91 98 115 147 210 231 245 247 235 186 200 174 108 66 126 94 72 57 44 42 106 152 177 182 178 186 212 247 282 323 363 394 416 428 428 434 453 490 548 619 664 703
5 6 7 7 7 7 7 7 8 9 13 27 47 65 77 70 62 53 45 41 35 28 24 24 26 31 36 44 49 47 43 40 38 34 30 27 25 28 34 44 61 77 78 73 64 49 38 31 25 22 21 21 17 14 11 10 10 12 13 14 15 17 19 19 16 12 9 7 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 14 44 72 86 84 74 67 54 46 36 23 6 3 2 1 1 0 0 1 2 4 8 10 11 11 14 21 44 59 60 54 54 72 126 174 203 209 218 200 182 153 117 70 87 77 63 55 42 51 83 123 156 167 172 189 217 247 269 299 331 360 381 396 401 409 428 466 525 590 645 693
6 6 7 7 7 7 7 8 9 12 19 29 42 60 82 80 69 57 49 46 39 31 26 22 22 25 30 39 47 48 45 44 41 36 32 29 26 26 27 33 47 62 74 79 70 53 40 32 27 24 23 24 21 17 14 13 15 17 18 17 16 15 18 20 18 15 11 9 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 17 55 86 103 100 82 74 67 62 52 35 14 4 1 1 0 0 0 2 4 4 6 8 12 15 17 20 34 37 29 16 18 35 62 103 147 142 144 135 109 79 92 99 97 82 62 56 55 65 82 103 124 137 158 182 204 226 251 271 293 321 340 354 363 372 392 444 506 563 619 678
5 6 7 7 8 8 8 9 11 15 21 27 36 51 75 83 76 61 50 44 40 34 28 22 19 22 30 39 46 50 49 46 40 34 31 28 26 24 23 26 36 48 60 68 65 52 41 33 28 28 26 24 21 17 15 15 18 20 21 20 18 18 19 19 18 15 10 8 7 6 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 19 49 74 87 91 84 79 79 77 68 47 24 8 1 0 0 0 0 1 3 2 2 6 13 20 26 31 30 29 27 10 14 29 37 45 95 96 88 74 54 13 47 94 123 112 81 68 68 75 83 91 102 117 137 154 173 205 236 256 270 297 313 328 341 356 384 439 496 553 608 656
4 5 6 7 8 10 11 11 13 17 22 28 38 52 71 84 82 62 53 47 41 34 27 22 19 22 29 36 43 48 53 52 44 36 30 28 26 25 23 25 32 41 50 56 53 47 40 33 29 29 27 24 20 17 15 15 16 18 20 20 19 18 17 16 14 12 8 6 5 4 5 6 5 4 3 3 2 1 1 0 0 0 0 0 1 1 1 0 0 1 3 14 41 67 81 84 78 77 80 83 75 50 28 11 2 0 0 0 0 0 0 2 4 8 13 20 24 24 23 24 28 18 19 41 72 69 83 90 86 71 44 16 30 83 147 140 107 84 76 80 83 86 90 91 95 120 152 178 201 225 245 271 296 315 333 360 398 447 495 544 597 634
3 4 5 6 8 10 12 14 17 21 26 32 42 56 75 93 103 84 68 56 45 38 30 25 21 22 27 35 39 46 51 51 47 41 33 30 28 27 26 26 30 36 41 41 44 43 39 35 30 28 26 23 20 15 15 15 16 17 18 18 18 17 15 12 10 8 7 5 5 3 3 4 5 5 4 5 4 2 2 0 0 0 1 1 1 2 2 1 0 1 3 7 29 70 104 112 95 82 83 86 78 57 34 16 6 1 0 0 0 0 0 1 1 4 9 16 24 35 40 26 27 27 27 39 93 101 98 96 97 93 72 46 38 61 126 126 108 86 69 71 75 77 80 84 88 103 123 145 166 185 210 246 275 294 319 358 406 442 470 518 573 607
2 3 4 6 8 10 14 18 22 26 30 34 44 59 82 110 136 122 98 72 55 48 38 30 24 21 25 33 38 43 48 48 46 41 36 32 30 27 26 26 29 34 38 41 43 41 38 34 29 26 24 22 21 18 17 16 16 16 17 17 16 14 10 9 8 8 8 7 7 5 4 4 5 5 5 6 5 4 3 2 2 2 2 1 1 1 2 1 1 2 3 9 33 81 123 139 123 100 93 84 84 70 42 23 14 5 1 1 1 2 1 0 0 2 6 16 26 30 28 28 26 31 45 58 85 102 97 81 85 89 81 73 69 68 78 79 73 64 58 59 61 63 62 68 74 80 94 112 121 130 166 212 251 279 296 316 344 381 427 482 531 562
2 2 3 4 7 9 13 20 25 29 34 38 46 57 89 144 175 165 135 97 73 60 46 34 27 24 25 32 38 42 45 47 46 42 37 32 31 29 28 27 28 33 36 38 37 36 34 30 26 22 20 20 20 19 18 17 16 14 14 14 12 10 7 8 9 10 10 9 9 9 8 7 6 6 6 6 6 5 4 4 4 4 3 2 0 1 1 1 2 4 5 12 33 76 118 135 132 123 106 82 75 72 49 30 22 16 9 6 4 6 4 2 2 1 2 10 21 24 24 34 35 28 38 42 60 79 80 59 58 66 67 62 75 70 50 38 42 44 46 46 49 54 52 50 52 58 64 70 74 101 147 192 225 243 262 287 303 342 394 447 491 518
1 1 2 3 5 8 12 20 27 33 39 44 50 60 87 152 206 230 191 131 109 81 58 41 32 29 30 32 36 42 48 49 47 43 37 33 33 33 31 30 32 34 36 36 35 34 31 28 24 21 20 19 18 17 17 16 15 14 12 11 10 10 10 11 12 13 14 13 13 12 11 10 8 7 6 6 5 4 4 4 5 4 3 1 1 1 2 3 7 8 7 7 15 32 61 92 109 113 102 75 53 50 49 38 34 33 26 14 7 6 8 8 10 8 5 5 10 13 20 40 54 38 32 54 67 66 59 44 37 43 52 44 48 48 34 16 21 28 36 39 36 44 55 47 35 32 30 31 39 70 125 158 171 188 218 252 278 314 350 382 425 470
1 1 2 3 5 7 12 20 32 42 44 44 47 54 71 113 175 218 217 174 130 94 68 49 35 33 34 36 38 41 43 47 47 45 40 35 35 35 35 38 39 38 36 35 35 33 31 28 25 21 20 18 16 15 14 14 13 12 11 11 12 12 13 13 14 16 17 17 16 16 14 11 8 7 6 6 5 4 4 4 4 4 3 2 2 2 3 10 12 11 8 5 4 5 15 42 66 74 65 44 22 18 30 36 41 47 39 23 11 7 9 15 21 23 20 11 2 2 7 18 32 20 11 16 32 51 46 38 33 31 33 36 37 34 21 8 15 25 32 30 21 23 28 29 25 19 13 15 24 41 71 97 110 121 146 177 229 272 302 320 326 382
0 1 1 2 4 7 14 25 38 47 43 41 42 48 60 89 144 183 186 153 113 87 67 51 38 35 34 35 37 40 44 47 48 46 43 40 37 36 35 33 30 35 36 35 34 34 31 28 26 22 20 20 18 17 15 13 13 12 12 12 13 14 16 16 17 17 17 17 15 13 11 9 8 7 7 7 6 5 5 5 5 4 3 2 1 2 3 8 11 9 6 4 3 2 4 10 23 29 23 10 3 2 6 19 38 52 47 35 21 12 9 13 21 27 28 20 9 3 2 3 6 11 11 7 11 22 37 47 46 39 36 44 54 54 36 17 17 23 25 21 18 14 10 10 11 11 9 9 14 26 39 50 58 66 86 118 160 204 247 278 269 282
0 0 0 2 4 7 14 26 39 45 43 41 40 41 46 62 111 155 167 145 109 83 64 48 36 29 31 34 37 40 46 48 49 49 44 42 40 38 35 33 32 34 35 34 35 34 32 30 27 24 22 22 21 19 17 16 15 14 14 14 14 16 18 19 19 18 16 14 13 12 11 10 9 9 8 8 7 7 6 6 4 3 3 2 1 2 3 5 6 6 5 4 3 3 2 2 4 5 4 1 1 0 5 16 32 46 50 44 31 17 11 10 14 20 26 28 19 6 1 0 1 5 10 14 21 30 51 71 65 57 51 64 88 94 74 42 26 34 29 23 21 19 9 2 1 2 4 8 17 20 22 25 29 43 49 66 97 127 166 211 235 230
0 0 1 2 4 6 12 21 30 38 40 39 39 43 45 59 94 133 153 136 106 81 62 45 31 25 26 32 37 43 46 50 54 53 48 43 39 37 36 37 35 34 33 34 35 34 32 31 29 25 24 23 22 20 18 17 16 15 15 15 15 16 18 20 20 19 16 13 13 12 11 11 11 11 10 10 9 8 7 6 5 4 3 3 2 2 2 3 4 4 5 5 4 3 2 2 2 1 1 1 0 0 2 6 18 32 41 43 39 21 13 9 7 10 18 20 14 4 0 0 0 2 6 11 21 32 44 54 47 44 47 58 80 88 99 103 88 66 40 25 20 19 11 3 0 0 2 4 6 7 8 11 14 23 29 35 50 67 82 111 159 188
0 0 1 2 4 6 11 19 25 31 32 33 35 40 34 49 79 113 140 124 99 75 55 38 24 19 22 29 32 32 33 37 45 49 48 45 44 47 43 42 39 37 35 36 36 36 34 32 28 26 24 23 22 21 19 18 16 15 15 14 15 16 17 19 19 18 16 15 13 12 11 11 12 12 12 11 10 9 7 7 6 6 5 4 3 2 1 2 2 3 3 5 6 3 2 2 2 2 1 0 0 0 0 1 9 19 27 31 30 22 13 6 3 3 7 8 6 6 2 1 1 2 1 1 8 17 23 22 15 10 13 17 25 38 56 77 84 77 50 25 17 13 9 4 2 5 7 5 2 2 2 3 8 19 29 33 32 46 64 59 61 99
0 0 0 2 4 7 11 19 26 32 37 42 46 46 45 52 63 72 103 99 85 68 49 32 20 16 19 24 23 24 24 25 28 34 40 44 48 47 48 47 43 39 38 40 40 39 37 34 30 27 25 24 23 21 20 19 18 18 17 16 16 17 18 20 20 19 17 15 13 12 11 11 11 12 12 11 10 9 8 8 8 7 7 5 4 3 2 2 1 1 2 3 6 4 3 2 2 2 1 1 0 0 0 0 4 10 18 19 19 15 8 1 1 0 0 0 2 5 4 4 6 5 2 2 6 14 17 11 3 0 0 2 3 6 12 20 25 34 29 14 9 4 2 2 3 6 6 4 4 4 1 0 3 9 20 33 31 37 57 52 28 39
0 0 0 2 4 8 13 20 27 34 40 47 55 57 54 50 44 43 63 69 67 59 41 26 17 14 15 16 16 18 20 20 20 24 30 36 41 46 48 50 48 41 41 43 43 43 40 36 32 29 27 26 24 23 22 21 21 20 18 17 17 19 21 24 24 22 20 17 14 13 11 11 11 11 11 11 10 9 9 8 8 8 7 6 5 4 3 3 2 1 1 2 3 4 4 2 2 2 1 1 0 0 0 0 1 3 9 9 9 7 3 1 0 0 0 0 0 1 3 7 14 10 4 3 8 18 20 15 6 0 1 1 1 0 2 5 5 4 2 3 2 2 2 2 2 2 2 1 4 5 2 0 0 1 3 13 17 14 23 46 41 25
0 0 0 2 5 8 14 21 28 34 40 49 64 67 66 62 53 57 60 60 52 34 29 20 13 11 10 9 11 13 14 14 15 18 24 29 31 32 33 39 45 41 44 45 45 45 44 38 34 31 29 28 26 25 24 24 22 22 21 20 20 22 26 28 28 26 23 20 18 15 13 12 12 12 11 10 10 9 8 8 7 7 7 6 5 4 3 3 2 1 1 2 3 4 5 3 2 2 2 1 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 1 3 17 15 5 1 4 14 19 18 13 8 9 11 11 8 10 14 14 9 3 2 2 3 4 2 1 0 0 0 1 2 1 0 0 0 0 1 3 3 3 9 19 23
0 0 0 2 5 9 14 21 28 34 44 62 74 70 65 63 56 61 69 71 58 33 23 15 9 7 8 7 8 9 12 12 12 14 18 23 25 26 24 25 31 36 41 45 47 48 45 40 36 34 31 30 28 27 27 27 25 24 24 24 26 27 30 31 31 29 26 23 21 18 15 14 14 13 11 9 8 7 7 6 6 6 6 4 3 3 3 3 2 0 0 1 2 3 5 4 3 2 2 1 0 0 0 0 0 0 1 2 3 0 0 0 0 0 0 0 0 0 0 0 7 11 11 5 3 6 10 13 18 20 23 28 32 29 30 29 26 20 11 7 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 24
0 0 0 1 5 9 16 25 31 34 41 57 69 65 55 58 62 72 85 89 67 41 21 7 2 3 5 5 5 7 10 8 5 7 13 21 21 21 20 20 22 26 32 43 56 55 47 42 38 36 33 32 31 30 30 27 27 27 28 29 29 30 33 34 34 30 26 24 23 20 19 17 15 13 11 9 8 7 6 5 6 6 5 4 3 3 3 3 2 1 0 0 2 3 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 4 11 20 8 3 2 1 2 9 13 17 22 32 31 29 27 24 20 13 6 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 18
0 0 0 1 4 10 18 24 27 31 38 53 62 61 58 63 72 87 97 92 69 44 22 8 2 0 1 2 2 3 2 2 1 3 7 14 16 16 16 17 17 21 28 36 45 46 46 44 41 38 37 36 34 33 33 31 30 31 32 33 33 34 36 37 33 29 27 27 27 25 24 21 17 14 11 10 8 6 6 6 6 6 5 4 3 3 3 2 1 0 0 1 2 4 5 5 5 3 2 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 2 0 0 2 3 4 5 11 13 14 12 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10
0 0 0 2 5 10 19 26 30 35 39 55 63 65 65 72 81 95 104 95 72 48 24 6 2 1 1 2 2 1 2 2 2 1 1 1 6 10 11 12 10 15 24 31 39 43 47 47 42 41 40 39 37 37 34 34 34 35 38 39 39 40 40 41 34 30 29 31 33 31 29 25 20 15 12 10 8 6 7 7 6 6 5 4 3 2 2 1 1 0 0 0 2 3 5 6 6 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 1 2 2 1 0 0 0 0 0 2 4 5 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3
0 0 0 2 6 12 21 30 39 46 48 60 71 75 77 93 100 104 104 91 71 48 26 10 4 2 2 2 3 3 3 2 2 1 2 3 5 7 10 9 10 13 17 24 32 37 41 43 42 42 42 43 41 39 38 37 37 39 43 44 43 43 43 39 35 32 32 36 38 38 36 31 24 18 14 11 8 7 7 7 7 6 4 3 2 2 1 1 1 1 0 1 1 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 22 30 38 45 54 67 80 90 92 117 131 134 130 111 85 57 32 16 7 4 3 4 4 5 4 4 5 3 3 3 5 8 8 8 10 12 17 22 29 36 41 43 42 41 41 42 40 38 38 39 41 43 46 47 46 41 37 35 34 34 33 39 43 44 41 33 25 18 13 9 7 6 6 6 6 5 4 3 2 2 1 1 1 1 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 23 30 35 43 55 70 86 96 99 120 142 156 154 131 104 73 45 25 13 7 5 6 6 7 7 7 6 5 5 5 6 7 6 7 9 12 17 21 26 32 37 39 39 39 39 40 40 39 39 41 44 47 49 50 49 41 37 36 37 37 37 42 46 46 40 26 15 9 7 5 4 4 5 5 4 4 3 2 2 2 1 1 1 1 1 0 1 1 2 4 5 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 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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