Vorticity
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nan 11 11 12 12 13 13 13 12 13 13 12 12 13 13 13 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 13 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 14 14 14 14 13 13 14 14 14 13 12 12 11 10 10 10 11 10 10 11 12 13 14 15 15 14 14 12 11 10 9 8 6 5 3 1 1 2 3 5 8 13 20 28 34 37 38 39 41 42 42 41 41 40 39 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
27 28 28 28 28 29 29 27 27 26 25 24 22 13 9 7 6 5 5 6 8 10 10 10 11 12 12 12 14 17 19 19 20 20 19 17 15 13 12 14 17 16 17 19 21 24 27 29 30 33 37 43 47 45 42 39 38 38 35 30 24 21 18 16 13 9 6 5 5 7 10 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 12 15 16 16 17 16 15 14 13 12 11 9 7 6 7 13 36 123 233 325 395 444 480 492 501 513 524 525 515 463 407 373 373 394 361 326 293 271 248 245 254 269 265 269 311 323 314 313 332 372 412 439 457 483 522 575 650 727 799 846 863 878 876 839 785 738 711 726 710
27 27 28 28 29 28 28 27 26 25 24 24 23 14 9 5 4 3 4 7 9 10 10 10 10 11 12 11 11 12 14 14 16 18 18 16 15 14 12 12 15 18 20 23 27 31 33 36 38 41 44 46 49 48 46 42 40 39 35 31 26 21 18 15 11 9 7 7 8 10 11 11 9 7 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 4 7 7 9 12 14 15 14 13 13 13 13 12 9 7 6 5 8 27 96 187 275 340 383 405 412 415 424 447 463 468 462 413 339 287 263 256 256 246 222 190 158 160 205 281 324 318 298 271 255 266 314 361 401 442 484 521 584 656 727 786 832 822 817 801 770 731 693 674 649 623
25 24 25 25 25 26 26 25 24 23 22 21 19 13 7 4 2 2 3 4 6 8 9 8 9 9 8 8 8 9 10 10 13 15 17 16 15 14 12 12 15 21 24 28 33 37 40 43 48 52 55 52 52 50 48 45 42 40 36 30 25 21 16 13 10 9 9 9 9 12 14 14 12 10 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 8 10 12 13 13 13 14 13 14 13 10 8 6 5 6 25 72 145 223 281 318 341 349 349 350 368 387 406 420 409 354 283 221 205 226 253 261 246 198 155 145 187 274 287 268 240 228 255 296 337 383 435 483 527 599 669 720 752 773 774 780 774 749 710 673 633 599 574
21 20 21 22 22 22 22 21 20 19 18 17 15 12 9 6 4 3 3 4 5 7 7 6 6 6 5 6 6 8 8 9 10 12 14 14 14 13 12 11 15 24 31 35 39 43 46 51 55 58 59 56 51 48 46 44 42 39 33 28 23 20 16 12 12 12 14 15 14 16 17 17 15 13 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 9 10 11 12 13 14 14 15 15 14 11 8 6 5 8 22 57 117 181 224 254 274 284 283 279 290 310 338 367 382 353 296 232 191 193 225 265 289 276 229 168 105 142 187 209 217 220 249 283 323 372 431 486 552 619 674 712 727 747 766 781 783 758 725 686 643 606 580
17 17 17 18 18 18 18 18 16 16 16 16 15 13 12 10 9 7 5 5 4 5 5 5 4 3 3 3 4 5 6 7 8 9 11 11 12 12 13 14 18 25 34 42 48 50 53 57 60 61 61 59 52 46 43 41 41 37 32 27 23 20 16 16 16 18 20 22 22 22 23 21 18 14 12 10 8 5 3 2 1 1 0 0 0 0 0 0 0 0 1 1 2 4 7 8 10 12 15 17 16 15 15 14 11 9 6 5 7 17 46 101 150 179 198 211 215 207 197 199 218 254 303 336 332 295 236 179 156 170 209 253 292 313 282 174 116 125 161 196 215 235 268 314 362 426 494 560 617 662 692 716 744 775 799 795 770 735 700 676 633 598
16 15 14 15 16 15 16 17 17 18 18 18 17 17 18 16 12 9 6 5 4 4 3 3 3 2 3 3 4 4 5 5 5 6 7 8 9 11 13 12 14 22 37 53 59 58 59 61 65 68 65 61 54 48 44 41 40 36 31 26 22 20 19 20 22 24 26 26 26 26 24 22 19 15 13 12 10 8 5 3 1 1 0 0 0 0 0 0 0 0 0 1 2 3 6 9 12 15 18 18 16 15 14 13 11 9 7 6 5 12 37 85 128 151 157 157 149 132 115 109 126 167 229 284 305 281 223 159 116 113 138 179 236 304 330 278 186 119 148 180 206 234 272 319 371 440 513 577 628 669 703 736 770 806 816 809 783 750 724 700 658 608
17 15 13 13 14 14 16 17 18 18 16 17 19 19 16 11 9 8 8 8 6 5 8 9 8 5 3 4 5 4 3 3 4 7 9 9 9 12 29 29 28 35 52 70 67 63 61 63 67 70 68 63 57 51 45 41 39 35 29 24 22 23 23 25 27 29 28 26 23 22 21 20 17 16 15 14 14 12 8 4 2 1 1 0 0 0 0 0 0 0 0 0 1 3 7 12 17 20 21 18 16 14 12 11 10 8 7 5 4 7 29 71 111 134 132 116 97 77 59 49 56 85 140 203 249 255 206 138 89 70 74 99 151 220 278 301 270 172 164 184 209 237 279 323 378 446 524 610 664 712 753 787 827 852 857 838 800 760 742 715 669 608
23 20 17 15 15 15 17 21 25 26 24 24 27 30 31 30 27 25 26 28 27 30 38 47 53 55 38 30 29 24 15 11 13 23 33 36 30 27 53 61 61 62 68 80 76 69 65 63 65 69 69 66 62 54 46 40 35 31 28 26 26 27 28 29 29 28 26 23 21 20 20 17 15 15 15 15 15 14 11 7 4 2 1 0 0 0 0 0 0 0 0 0 1 3 8 15 21 24 24 20 16 14 11 9 8 7 6 5 3 6 22 54 88 106 104 87 66 45 27 18 26 38 71 118 168 212 188 134 79 45 35 46 81 134 197 259 281 228 202 207 223 246 282 325 377 444 534 616 688 754 813 854 879 889 886 873 830 781 743 706 661 595
47 34 25 21 20 22 30 44 58 63 59 55 58 66 75 76 69 63 61 61 62 67 77 88 95 99 105 105 102 93 76 64 67 79 90 94 82 83 92 96 93 87 82 85 83 77 71 65 63 64 66 66 63 54 44 36 30 27 27 28 28 28 28 29 29 24 21 19 17 16 17 14 13 12 13 14 16 15 13 10 7 3 2 0 0 0 0 0 0 0 0 0 1 3 10 17 22 22 23 20 15 12 9 8 6 5 5 3 2 4 16 37 59 73 79 66 46 26 9 6 12 20 33 53 82 126 136 122 95 47 30 30 47 81 127 188 226 235 231 232 237 257 289 331 378 449 540 626 702 771 839 887 917 917 900 895 849 793 739 685 634 564
41 31 30 35 42 52 66 85 105 110 107 106 108 110 106 104 92 77 68 68 73 76 82 92 102 115 128 138 146 149 140 135 139 143 141 135 132 138 133 123 111 101 90 85 82 80 76 70 65 62 62 62 58 49 40 32 28 27 30 30 28 27 26 28 28 26 22 17 11 9 9 9 9 10 11 12 13 14 13 11 8 5 3 1 0 0 0 0 0 0 0 0 1 5 12 20 21 19 20 18 14 11 8 7 5 4 3 2 1 3 10 23 36 42 39 34 26 16 6 3 6 15 22 28 44 67 86 102 118 74 48 38 43 63 100 145 183 209 227 236 242 261 295 339 385 454 532 609 678 746 808 864 906 910 883 862 820 765 705 643 581 518
29 32 41 56 74 89 99 102 118 124 127 128 124 106 88 72 57 48 50 58 68 79 92 104 111 119 122 126 133 140 140 142 146 147 145 140 135 131 129 124 110 97 88 84 82 80 75 71 66 61 58 54 48 41 34 29 26 25 28 29 27 24 23 24 25 23 18 13 6 4 4 5 6 7 10 11 11 12 12 11 9 6 4 2 0 0 0 0 0 0 0 0 1 6 14 24 23 20 17 15 12 10 8 7 5 3 1 1 0 2 6 15 20 21 19 16 13 9 9 13 19 21 23 25 37 55 74 87 114 99 74 60 66 81 105 132 158 180 196 213 235 263 296 337 386 446 515 583 632 686 738 786 824 828 832 812 771 719 645 582 522 466
23 30 42 60 81 99 108 108 110 114 118 115 100 91 79 66 55 47 46 51 58 67 80 93 96 100 104 109 113 117 118 120 123 127 133 135 135 129 122 117 106 95 89 84 81 77 72 69 65 59 53 47 41 35 31 28 24 22 26 27 26 22 19 21 21 20 16 11 6 4 4 4 3 4 7 9 10 11 12 11 9 6 4 2 0 0 0 0 0 0 0 0 1 6 16 25 24 19 14 11 9 8 7 6 4 2 1 0 0 1 3 9 10 8 5 4 6 8 11 14 16 21 24 29 41 63 98 102 109 109 97 83 92 103 115 128 144 159 169 184 209 249 288 329 380 440 499 550 579 609 643 681 717 751 773 760 703 636 570 512 457 411
20 24 30 42 58 75 90 102 112 121 127 129 123 115 100 83 65 51 46 46 47 50 55 55 61 72 82 89 95 101 102 104 107 110 115 120 125 123 115 109 102 93 87 82 77 71 66 64 59 53 48 43 39 35 32 28 25 26 27 27 24 21 21 22 20 17 12 9 6 5 5 4 4 3 5 7 10 11 13 12 10 7 4 3 2 1 0 0 0 0 0 0 1 5 17 23 22 16 11 9 8 7 7 6 4 2 0 0 0 0 2 5 4 2 0 0 4 7 9 12 23 28 31 36 42 49 92 114 118 116 106 101 106 112 116 117 127 137 145 156 179 225 269 315 368 436 479 508 520 531 560 593 630 677 710 686 618 555 498 446 397 362
20 21 23 28 36 46 58 75 98 117 129 132 135 129 116 99 81 67 57 51 48 46 45 46 52 61 68 74 77 83 88 93 96 96 96 102 105 103 98 94 93 89 86 83 76 65 62 60 56 49 44 40 37 35 35 29 25 24 25 24 20 20 18 16 14 12 11 9 8 7 6 6 5 4 4 6 10 12 14 14 12 7 3 3 2 1 0 0 0 0 0 0 2 6 16 20 18 13 9 8 7 7 7 6 4 2 1 0 0 0 2 3 3 0 0 0 2 4 7 9 20 30 37 41 49 63 91 109 110 112 102 99 101 106 109 101 104 111 121 131 162 205 248 292 343 415 462 478 474 468 498 523 552 592 629 581 515 465 432 396 356 330
20 22 23 24 27 31 37 50 71 95 113 114 110 110 109 104 97 85 74 64 55 50 45 43 44 49 56 66 69 74 78 81 82 78 83 89 91 90 86 80 82 84 82 80 71 59 55 55 51 47 43 39 35 33 33 29 25 22 21 21 20 17 14 12 11 10 9 9 8 7 7 6 6 6 6 6 8 11 14 16 15 9 5 3 2 1 0 0 0 0 0 0 4 11 18 19 15 10 7 6 6 6 6 6 4 2 1 0 0 0 1 2 1 0 0 0 0 1 4 9 18 29 39 38 52 79 111 128 101 102 96 88 79 80 82 78 78 83 95 111 141 179 220 260 314 371 411 430 426 426 445 464 487 514 525 476 409 360 361 347 329 312
21 22 22 23 25 26 26 32 44 62 88 99 99 98 99 101 99 94 88 78 63 55 48 44 40 40 46 59 68 73 74 72 73 73 80 84 84 82 80 76 76 77 76 71 61 53 49 51 51 47 43 37 34 34 33 29 26 23 22 22 19 15 12 11 11 9 7 6 6 6 6 6 6 5 4 5 6 9 13 17 16 12 9 5 2 1 1 1 1 1 1 2 10 17 20 18 12 8 5 5 5 5 5 5 4 3 1 0 0 0 1 3 1 0 0 0 0 0 1 6 15 24 33 31 48 88 143 156 120 106 99 86 68 59 53 51 54 60 75 95 119 150 188 221 263 310 351 373 374 388 410 429 445 460 451 411 351 295 305 313 310 302
22 23 24 24 25 24 22 24 30 41 58 77 97 109 112 112 101 95 92 86 75 62 52 44 40 38 43 53 63 70 74 72 73 73 73 74 74 74 75 73 69 68 70 63 53 47 47 50 52 48 41 34 31 31 31 29 27 25 24 21 17 14 13 12 10 8 6 6 5 5 5 5 5 5 4 5 5 7 11 16 15 13 11 8 2 1 2 2 2 5 6 13 20 23 20 15 11 7 4 4 4 5 5 5 4 3 1 0 0 0 0 1 0 0 0 0 0 0 2 9 16 17 19 21 36 75 156 145 119 106 113 93 73 57 45 38 43 52 63 76 93 118 147 176 209 247 291 307 322 347 382 413 424 426 418 394 345 306 298 299 299 294
23 23 24 25 27 27 24 23 25 29 40 55 81 109 126 128 113 105 101 99 91 76 61 49 41 37 40 46 53 61 68 70 70 70 69 70 68 70 72 70 67 63 61 57 54 51 51 54 52 48 41 33 29 26 26 27 26 23 23 19 14 12 11 12 13 11 9 8 7 6 6 5 5 4 4 4 4 6 8 12 12 11 10 9 5 6 9 12 14 16 19 20 22 20 15 11 6 3 1 3 4 5 5 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 1 4 12 13 12 17 34 63 120 128 103 73 103 86 68 55 48 37 44 52 57 61 66 83 103 131 168 206 237 261 276 290 326 360 382 389 386 383 358 332 311 300 294 295
24 24 24 24 27 28 28 27 27 30 37 45 59 79 102 124 119 113 115 121 119 99 77 58 45 39 38 40 44 50 57 63 66 66 66 69 66 68 69 68 65 58 50 46 46 48 51 54 51 45 39 34 29 26 25 26 24 23 22 18 14 12 12 13 14 13 12 11 10 10 9 7 5 3 2 2 3 5 6 7 7 8 11 13 17 22 27 30 32 33 29 24 19 16 11 7 3 1 1 3 4 5 5 3 3 2 1 0 0 0 1 1 1 0 0 0 0 0 0 0 6 9 11 16 36 60 83 92 80 37 55 55 48 40 44 41 44 50 56 57 56 60 69 88 121 157 192 226 249 250 267 287 312 334 341 347 346 331 303 286 282 293
26 27 26 26 27 28 28 28 28 32 36 41 48 59 78 106 114 113 119 134 144 122 93 70 53 43 38 37 38 40 46 54 61 62 58 64 63 64 65 64 59 51 43 38 41 48 52 51 46 40 35 31 29 28 28 28 28 24 21 19 16 15 14 14 14 14 14 15 14 13 12 9 6 4 2 2 2 3 3 4 5 8 13 21 30 39 44 40 35 31 27 23 17 13 10 6 2 0 1 3 5 7 7 5 3 1 1 0 0 0 1 2 2 0 0 0 0 0 0 2 5 7 13 22 51 75 85 83 71 42 28 23 25 21 27 32 35 39 52 57 58 57 56 59 73 95 127 167 208 231 241 245 259 285 297 296 297 298 277 264 265 282
26 28 29 30 30 30 29 30 31 33 36 41 46 51 66 96 114 116 118 156 169 148 113 83 62 49 42 39 38 38 43 52 59 62 59 60 60 62 63 59 52 44 38 37 41 48 51 48 43 38 34 31 31 32 32 30 29 26 23 21 19 19 17 15 14 13 14 16 16 15 14 11 8 5 4 2 2 2 1 2 4 6 11 15 21 27 35 35 31 26 22 17 12 8 7 6 1 0 1 3 5 7 7 5 3 1 0 0 0 0 0 0 0 2 2 1 2 1 1 3 6 9 13 28 61 96 116 118 103 74 37 7 12 11 13 18 22 24 37 50 58 60 56 48 41 38 47 77 120 174 217 228 233 254 271 269 248 251 245 245 256 278
23 25 28 31 32 33 33 33 35 36 38 42 48 49 61 81 96 102 117 169 180 161 127 93 69 56 49 45 42 39 35 42 54 61 61 60 59 61 63 58 50 42 39 40 42 47 48 45 40 35 33 33 33 34 32 28 27 25 23 22 21 19 17 15 14 13 13 14 14 15 15 13 11 8 5 3 3 2 1 2 3 5 7 9 9 11 18 27 27 20 14 8 5 3 2 1 0 0 0 2 4 6 6 5 3 1 0 0 0 0 0 0 2 4 4 3 4 3 3 7 13 14 11 21 53 96 115 129 140 124 77 31 17 11 9 11 14 14 17 28 45 52 49 43 34 27 22 25 34 70 134 160 184 219 250 262 246 234 228 232 250 281
21 23 26 29 32 34 33 35 38 40 43 47 52 51 56 63 72 81 112 150 165 158 135 104 77 62 56 52 48 42 36 38 48 58 61 61 59 58 59 56 50 43 39 40 43 45 45 42 36 34 33 33 32 30 29 25 23 22 21 21 20 20 19 16 14 12 11 11 10 10 11 12 11 10 7 5 4 3 2 2 2 4 6 7 7 7 12 21 23 13 6 2 1 0 0 0 0 0 0 0 2 3 4 3 2 1 0 0 0 0 0 0 0 1 2 3 3 2 4 8 12 13 13 15 24 58 78 105 136 156 137 99 62 36 20 17 17 13 6 5 19 26 28 32 38 30 25 17 11 14 45 77 112 150 193 224 235 232 225 227 252 282
19 22 24 27 30 32 34 37 40 44 49 55 60 59 57 59 66 75 95 120 140 148 137 113 88 70 60 56 54 49 44 43 49 59 65 64 59 55 54 54 51 45 40 42 43 43 42 41 35 32 32 32 32 28 27 23 20 19 18 17 17 18 17 15 14 11 9 8 6 5 6 9 10 11 10 8 7 6 4 3 3 4 4 5 4 6 8 11 13 10 4 2 1 0 0 0 0 0 0 0 1 2 2 2 2 1 3 4 3 2 0 0 0 0 0 1 2 6 10 7 9 11 10 4 1 21 43 68 102 136 151 154 129 95 57 36 26 17 8 2 3 5 6 8 12 16 22 25 22 23 43 65 75 79 112 161 198 216 219 223 249 277
16 19 21 24 27 30 33 37 42 48 53 61 67 69 66 63 69 73 86 106 129 150 141 119 95 76 65 58 56 53 50 48 52 61 66 65 59 52 50 52 52 47 43 42 42 42 42 40 35 32 31 33 33 28 25 22 20 19 17 15 14 14 14 12 12 10 9 8 7 6 7 8 10 13 12 10 9 8 7 5 5 5 4 3 3 4 7 11 13 8 4 2 1 1 0 0 0 0 0 0 1 2 3 3 1 2 13 29 32 11 2 0 0 0 0 0 1 1 2 2 3 6 8 4 1 4 9 20 47 71 90 102 109 114 87 53 28 19 8 2 0 0 0 0 1 4 11 22 31 56 80 92 90 77 76 99 143 190 216 215 226 252
13 15 18 21 25 29 34 38 44 51 56 61 66 71 74 73 74 78 91 115 148 177 159 131 103 84 72 65 63 60 57 55 56 59 62 62 59 51 48 49 50 49 45 43 42 42 42 40 36 35 34 33 30 26 22 21 20 17 16 14 14 13 12 12 11 11 11 10 11 10 10 10 11 12 12 11 10 9 8 7 6 6 4 3 2 3 5 9 10 6 3 2 2 1 0 0 0 0 0 0 1 2 3 2 2 9 33 81 93 42 7 1 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 1 10 17 23 33 47 60 63 48 20 10 6 2 0 0 0 0 0 0 2 14 26 31 57 105 113 95 64 49 80 131 191 214 207 218
9 11 13 17 22 28 33 40 49 58 64 67 73 77 78 80 81 87 102 137 195 212 197 161 121 97 84 79 77 73 66 63 62 60 59 59 59 51 49 50 52 50 46 44 43 42 42 40 37 36 34 29 24 20 19 18 18 16 15 15 15 14 14 14 14 14 16 16 16 15 14 15 14 12 11 11 9 7 6 7 7 6 4 2 2 3 5 10 8 6 4 3 2 1 1 0 0 0 0 0 1 3 4 3 4 14 43 96 121 84 25 6 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 6 11 15 21 24 10 3 2 1 0 0 0 0 0 1 5 23 44 73 107 125 133 126 103 74 62 71 114 160 167 191
9 11 13 16 19 24 30 39 51 64 70 71 72 73 74 75 77 84 104 144 199 223 225 192 133 109 95 86 78 72 69 65 63 62 61 58 54 50 49 51 53 52 46 41 39 41 42 40 37 34 29 24 20 18 18 18 17 15 15 15 16 16 16 16 17 19 21 21 20 20 19 17 14 12 11 10 8 7 7 7 7 5 4 2 2 3 7 10 9 6 3 2 2 1 0 0 0 0 0 1 2 3 3 2 5 15 44 84 107 96 51 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 7 4 2 0 0 1 5 3 2 6 12 23 40 59 83 113 156 189 185 160 126 75 42 42 67 82 128
8 11 12 13 16 21 28 38 51 62 66 67 69 72 76 78 77 80 94 121 161 207 229 212 164 136 112 92 76 64 62 61 62 63 64 60 55 53 52 54 55 50 42 37 35 37 41 41 38 33 28 23 20 19 19 18 15 13 12 14 16 18 18 19 20 21 21 20 18 16 14 14 14 13 11 10 9 8 7 6 5 4 3 2 1 3 10 12 10 5 3 2 1 1 1 0 0 0 0 0 1 3 3 3 4 13 41 67 80 80 59 19 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 11 20 22 24 39 55 68 76 97 151 207 234 224 210 165 108 57 35 44 43 67
5 7 9 11 15 19 26 35 47 54 60 64 66 69 73 76 77 82 93 115 152 210 239 212 168 136 116 101 86 73 67 64 62 62 64 62 60 58 59 58 52 44 37 33 33 36 39 39 37 32 27 22 20 20 20 18 15 12 12 14 15 17 19 21 22 21 20 18 16 15 15 15 15 14 13 12 11 9 7 5 5 4 3 2 2 3 8 11 8 3 2 2 2 2 1 1 1 1 0 0 0 2 3 3 3 13 37 53 48 32 37 20 4 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 1 7 20 28 34 46 58 62 66 82 119 165 204 239 259 234 173 115 69 65 79 86
1 4 8 10 15 19 24 31 40 48 54 58 64 72 74 78 81 86 94 114 146 197 232 209 169 139 115 97 86 76 71 68 68 64 63 61 60 62 66 66 58 48 38 31 31 36 39 39 35 29 24 22 20 20 20 19 17 16 16 16 16 17 19 22 23 22 19 17 16 15 16 17 17 16 15 14 12 10 9 7 6 5 3 3 3 3 5 6 5 1 1 2 2 2 1 1 1 1 0 0 1 1 2 2 2 14 32 45 39 11 11 12 5 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 1 3 4 5 11 20 23 27 34 38 44 47 60 102 151 207 236 218 188 156 108 80 90 99
0 2 6 9 13 17 22 29 36 41 46 53 61 67 67 74 82 87 94 110 135 167 194 190 163 137 111 88 72 63 59 60 63 63 61 59 60 65 73 73 64 52 39 30 31 35 38 36 32 27 24 22 21 21 21 19 17 16 16 16 16 17 19 22 22 21 18 17 15 15 16 17 18 16 15 14 13 11 9 8 6 6 5 5 4 4 4 3 1 0 0 1 2 2 2 1 1 1 0 0 0 0 1 2 2 8 20 31 25 11 3 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 1 1 4 8 12 9 11 15 15 18 21 21 23 31 57 88 117 137 157 154 141 119 92 91 95
0 1 3 6 10 15 22 29 35 40 46 54 62 66 69 73 76 75 86 100 123 149 167 166 149 125 100 79 63 52 48 48 47 48 51 59 67 70 81 83 73 56 41 34 34 36 37 35 27 24 23 23 24 21 21 20 19 18 17 16 17 18 21 23 22 20 18 16 15 15 16 17 16 15 14 13 13 11 9 8 7 6 6 6 5 5 5 3 1 0 0 0 3 3 3 2 2 1 1 0 0 0 2 2 2 3 7 13 9 4 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 1 5 8 5 2 5 5 7 9 12 14 19 27 42 65 95 106 98 93 97 98 105 99
0 0 2 4 8 13 20 28 35 41 46 52 65 72 75 75 72 69 70 82 106 135 145 145 132 111 87 65 53 43 37 37 37 35 38 46 56 69 83 92 86 62 45 37 36 38 41 36 29 24 23 24 27 24 23 21 20 19 18 17 18 21 23 25 24 22 19 17 17 17 16 17 16 14 12 11 11 10 9 9 8 7 7 7 7 6 5 4 2 1 0 1 2 4 4 3 2 1 1 1 0 1 2 2 2 1 2 2 2 1 1 1 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 1 3 4 2 1 1 1 2 4 4 2 8 22 34 42 48 55 62 68 52 58 75
0 0 0 2 6 12 19 27 35 42 48 54 72 81 85 83 75 74 69 70 77 81 113 119 109 92 73 55 43 34 29 28 29 26 27 34 42 53 67 81 85 66 55 44 39 39 42 37 31 27 25 23 24 24 23 22 22 20 18 18 20 23 26 27 27 24 21 19 20 20 18 18 17 14 11 9 9 8 8 8 7 7 7 7 7 7 5 4 2 1 0 1 2 4 4 4 3 2 2 1 0 1 1 2 2 1 1 1 1 1 1 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 1 2 4 2 0 0 0 0 0 0 2 7 14 34 54 61 54 54 49 43 41
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0 0 0 1 4 8 13 22 32 40 43 51 64 70 73 75 74 73 77 83 78 65 57 51 49 48 41 31 23 18 17 15 11 10 17 27 33 39 45 49 48 43 42 47 57 52 43 41 38 33 27 25 24 23 24 22 22 22 22 22 23 25 28 29 29 26 25 26 27 27 27 25 20 14 10 8 7 7 7 6 6 6 6 6 6 5 5 4 3 2 1 1 3 4 4 4 4 3 3 2 1 1 1 2 1 1 1 1 1 1 1 0 0 1 1 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 1 4 15 27 29 24 23 22 15
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