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 10 10 9 10 10 10 10 10 11 11 11 12 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 8 9 9 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 9 9 9 12 15 16 15 9 6 7 8 8 9 9 9 9 10 12 14 16 16 15 14 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 13 14 15 17 18 19 20 20 20 20 19 18 17 16 14 13 12 12 11 11 11 11 11 10 10 9 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 nan
nan 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 9 10 11 12 12 12 11 10 9 10 12 15 17 15 10 8 8 9 9 9 9 9 8 9 10 13 15 17 16 15 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 16 17 17 18 18 18 17 17 16 16 15 14 13 12 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 nan
nan 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 9 8 8 8 9 10 10 9 9 8 7 7 7 7 7 9 11 12 13 13 13 12 10 10 10 12 15 17 15 11 9 9 10 10 9 10 10 10 10 10 12 15 17 18 16 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 14 15 16 16 16 15 15 15 14 14 14 13 12 12 11 11 11 11 11 10 10 9 8 8 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 10 nan
nan 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 8 8 8 7 8 9 11 12 13 13 13 12 10 10 9 11 13 14 14 12 11 11 11 11 10 11 12 14 13 11 11 14 18 19 18 15 14 13 13 12 12 11 11 10 10 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 14 14 15 16 16 15 14 13 13 12 12 12 12 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 9 10 10 nan
nan 9 9 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 8 9 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 11 11 10 9 9 9 12 14 14 14 12 12 12 12 11 12 13 15 14 12 11 13 17 20 21 20 18 16 14 13 12 12 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 12 13 14 15 15 15 15 14 13 12 11 11 10 10 11 11 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 11 nan
nan 10 10 10 10 10 9 8 8 8 8 8 9 9 10 10 11 10 10 10 9 9 9 9 10 10 10 9 10 10 10 10 11 11 11 12 12 12 10 9 9 8 7 8 9 9 10 10 11 10 11 11 11 10 9 9 9 10 11 11 11 10 10 9 8 8 10 12 13 14 13 13 13 12 12 12 13 14 13 11 10 12 15 19 21 23 22 20 17 15 14 13 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 10 10 11 12 13 14 15 15 15 14 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 11 11 11 nan
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nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 14 17 18 18 18 19 19 18 17 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 12 13 16 18 20 21 21 21 20 18 15 12 8 3 -0 -2 -5 -7 -7 -7 -5 -3 0 3 6 8 8 9 10 11 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 13 14 15 15 17 17 17 17 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 11 11 11 11 11 10 10 10 11 13 16 20 23 25 26 26 24 22 19 16 12 8 4 -1 -4 -7 -9 -9 -8 -7 -4 -0 2 3 5 7 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 13 14 16 17 17 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 13 13 13 12 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 14 17 22 24 26 28 29 29 27 26 24 22 18 14 10 4 -2 -5 -8 -10 -10 -9 -8 -7 -6 -3 nan
nan 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 15 16 17 17 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 9 9 12 14 16 18 20 21 24 26 28 29 30 31 31 30 28 24 18 12 7 2 -4 -7 -8 -10 -11 -12 -11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
64 89 117 156 198 232 260 284 313 331 343 353 363 367 370 369 367 365 359 344 326 305 281 257 235 218 200 181 164 153 150 147 140 139 145 156 165 167 165 159 149 131 108 89 73 60 45 28 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 19 27 39 56 74 100 129 162 202 263 337 415 500 595 702 796 850 882 918 974 1037 1078 1086 1043 971 912 834 759 698 643 592 549 491 428 361 290 219 162 118 87 68 55 44 34 25 16 9 6 6 5 4 3 3 2 2 3 2 2 2 2 3
7 15 26 43 70 111 152 186 222 254 284 311 337 356 372 385 395 402 404 393 380 366 348 327 304 281 258 232 205 184 178 169 161 159 163 167 167 166 164 163 156 135 109 90 77 67 51 44 33 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 11 19 28 42 59 82 110 145 185 239 297 362 439 525 625 709 772 816 853 905 956 997 1011 988 923 861 796 728 658 592 539 484 424 358 290 225 174 129 92 65 47 36 26 18 11 7 5 4 5 4 3 2 2 2 2 1 1 2 3 3 3
0 1 2 3 12 39 60 81 106 135 168 205 247 291 331 361 380 393 401 403 403 402 398 390 374 353 330 308 286 265 240 218 202 194 190 186 177 167 162 159 152 134 107 86 71 57 43 37 29 15 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 1 2 1 0 0 0 0 1 3 6 12 19 32 49 70 96 131 171 215 265 323 389 460 537 615 684 738 782 825 858 883 894 877 828 770 706 634 560 500 450 393 333 275 219 167 127 92 63 41 24 15 10 6 3 3 4 4 4 3 2 2 2 1 1 1 1 2 2 3 4
0 0 0 1 5 12 18 24 31 41 58 86 131 179 225 265 296 324 350 374 394 410 424 425 420 409 393 376 358 337 307 279 256 240 226 211 198 185 174 165 155 140 115 88 64 43 32 29 28 23 16 8 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 1 3 4 2 2 1 0 0 1 2 7 14 25 42 66 94 124 158 197 242 290 340 393 451 516 586 644 686 722 744 751 758 743 700 643 580 511 443 391 343 290 237 189 149 109 76 52 32 17 4 1 2 1 1 3 3 3 3 2 2 2 2 1 1 1 1 2 2 3 4
0 0 0 0 0 4 5 6 7 8 12 26 50 74 97 122 173 220 269 316 357 389 412 421 426 427 424 418 407 385 362 337 313 291 270 252 237 222 205 187 172 160 141 112 79 45 29 25 26 25 23 18 10 6 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 1 5 9 8 5 3 1 0 0 1 3 9 19 35 61 88 117 148 182 218 254 290 330 376 430 488 542 576 601 622 623 612 596 557 501 443 386 328 282 238 191 146 110 81 56 34 18 9 4 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 2 3 3 4
0 0 0 0 0 0 0 3 4 2 3 12 24 36 45 55 81 121 166 216 270 318 351 375 395 412 426 439 430 418 404 388 367 344 322 302 285 267 246 221 203 189 172 147 113 73 47 33 28 26 26 24 18 12 12 15 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 2 7 10 10 8 5 3 2 0 1 2 6 15 30 53 80 107 135 163 190 217 244 273 309 350 391 437 469 480 488 489 470 447 415 368 319 276 230 184 142 105 77 52 33 20 10 4 1 0 0 0 0 0 1 1 1 2 1 0 1 1 0 0 0 1 2 2 3 4 5
0 0 0 0 0 0 0 1 1 2 7 22 30 33 40 48 55 65 83 114 158 206 250 289 324 356 382 402 412 420 425 423 409 390 371 354 336 315 289 263 242 224 206 184 145 102 66 43 30 23 21 20 18 16 17 11 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 1 5 8 10 10 8 7 6 6 4 3 6 12 25 43 66 91 117 139 157 179 202 224 252 286 313 342 369 377 369 366 348 320 291 255 222 185 143 104 71 49 32 17 7 4 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 3 3 5 7
0 0 0 0 0 0 0 0 0 1 5 13 20 25 30 34 36 37 40 52 74 105 140 177 216 255 288 321 355 390 417 432 430 425 418 408 395 375 345 320 299 279 253 225 180 132 87 52 32 23 18 16 15 16 13 8 5 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 1 4 6 7 9 10 9 8 7 6 6 10 19 33 51 72 92 110 125 142 161 179 203 230 252 266 278 285 269 257 245 223 191 164 136 105 74 47 29 18 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 9
0 0 0 0 0 0 0 0 0 0 1 6 12 15 16 19 20 21 24 29 37 46 64 88 115 145 180 226 275 323 365 398 425 446 458 461 456 441 421 400 378 352 311 271 225 175 122 72 44 28 18 14 14 17 13 11 8 5 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 1 3 3 6 9 9 10 11 11 9 10 16 26 39 55 71 83 95 109 126 148 165 183 199 207 204 205 197 182 167 146 118 95 73 50 28 16 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 8 10
0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 11 14 17 22 27 31 37 48 62 84 109 144 190 245 300 356 410 455 487 501 505 502 485 461 432 401 355 311 269 226 177 118 79 53 37 26 19 18 14 11 8 6 5 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 1 1 1 3 6 8 11 13 13 13 13 15 24 38 48 58 68 80 94 113 131 142 150 156 150 142 134 120 99 81 61 43 26 10 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 9 11
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 8 13 20 25 25 26 31 42 57 80 110 149 200 265 335 403 460 497 515 519 513 498 477 454 428 390 347 305 267 219 166 128 98 75 57 39 28 19 12 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 13 11 9 14 22 31 37 44 55 69 85 98 105 110 112 107 97 85 72 52 35 21 13 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 1 1 2 3 5 7 8 10 12
0 0 0 0 0 0 0 0 1 1 1 0 2 1 1 2 3 6 10 17 22 25 24 23 27 43 64 91 126 171 230 298 367 428 473 492 491 488 486 480 473 456 427 387 345 309 273 235 197 161 131 107 81 56 36 21 7 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 1 2 5 8 9 8 8 10 14 18 21 28 37 47 56 66 73 77 76 70 56 42 34 22 10 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 1 2 3 4 6 7 8 11 14
0 0 0 1 1 1 1 1 3 4 5 7 6 5 5 4 5 7 9 16 22 26 26 23 28 39 54 76 106 136 181 243 312 377 420 426 423 441 477 504 511 501 477 442 401 363 332 301 264 221 182 153 126 100 76 55 25 10 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 5 6 7 8 10 14 18 23 31 41 46 47 45 38 23 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 0 0 1 2 2 4 5 6 8 9 12 17
1 1 2 3 4 4 5 6 8 10 12 14 15 13 11 10 13 17 20 24 28 31 30 31 34 38 45 59 82 105 140 188 243 297 339 357 386 433 494 548 569 559 529 490 446 407 376 340 299 255 216 185 163 142 119 103 70 39 21 14 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 1 2 3 3 3 3 2 1 1 3 6 8 12 12 18 21 20 17 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 6 4 1 0 0 0 1 1 2 3 4 5 6 8 11 13 18
3 3 5 7 9 11 13 15 17 19 22 24 24 22 20 19 23 27 31 33 36 40 38 38 40 43 46 47 60 80 105 137 180 240 300 350 393 436 482 555 591 587 551 503 455 415 374 329 288 256 231 210 195 184 166 147 124 86 45 15 4 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 1 2 2 2 1 0 0 1 2 2 1 1 1 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 3 6 7 7 5 2 1 0 0 1 1 1 2 3 5 7 8 10 13 15 19
6 8 10 13 16 20 22 26 30 33 35 37 36 35 32 29 31 34 38 42 46 52 51 50 51 53 52 51 58 70 86 107 135 185 242 303 358 398 417 475 522 542 528 479 422 381 347 307 274 249 236 225 216 212 203 185 163 136 100 58 29 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 9 9 7 4 2 0 0 0 1 1 2 2 4 6 8 9 12 15 16 18
14 17 21 24 27 31 34 38 43 47 49 51 48 44 40 37 38 40 44 47 51 57 61 64 67 69 65 64 66 71 80 94 114 150 195 245 296 345 359 389 430 466 485 472 442 402 358 318 288 255 232 217 206 201 198 186 170 157 139 108 74 38 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 3 5 6 7 8 8 6 4 2 1 1 1 1 1 2 3 4 6 8 11 15 17 18 19
21 25 30 34 39 43 47 52 58 62 59 61 57 52 47 44 45 47 50 52 54 59 64 70 75 78 76 73 71 71 75 89 103 126 157 193 231 267 288 313 346 385 422 452 463 447 411 360 320 270 224 191 173 172 177 176 171 168 157 138 107 65 21 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 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 1 2 2 2 3 5 7 9 12 10 10 12 13 4 2 1 1 1 1 2 2 3 4 7 10 14 18 19 19 20
19 25 32 39 47 52 56 59 61 61 60 62 62 59 55 54 54 55 56 56 58 61 66 70 73 75 74 70 67 66 68 78 87 96 106 119 138 162 185 213 249 293 345 393 429 445 441 391 338 280 226 188 170 162 166 176 182 183 172 156 127 82 37 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 2 3 3 4 4 6 8 11 12 13 14 15 15 13 6 2 1 1 1 2 3 4 4 5 7 11 16 20 20 20 20
11 19 29 41 51 58 62 64 65 67 66 67 67 67 64 67 68 67 65 62 60 58 59 63 63 62 61 58 55 57 60 63 68 73 78 88 92 100 112 129 154 193 244 298 345 383 388 358 313 266 225 186 171 165 166 176 189 193 185 174 159 132 69 22 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4 5 6 7 8 10 13 16 17 20 23 23 18 13 7 3 2 2 2 2 3 4 4 5 8 11 16 19 20 20 23
9 15 25 38 51 61 68 71 70 75 77 77 78 80 80 81 80 78 75 69 63 60 58 58 57 55 53 52 53 57 61 63 66 70 76 82 84 84 84 87 100 127 162 201 242 282 287 277 259 237 213 181 165 158 157 162 169 174 176 176 178 177 97 37 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 2 2 3 4 6 7 9 11 13 16 18 21 24 29 31 32 27 20 10 4 2 2 3 3 3 4 5 7 8 10 15 18 20 21 24
10 14 21 31 44 56 64 69 72 77 82 85 87 94 95 93 88 83 83 77 71 67 63 61 58 57 56 57 59 64 69 72 75 80 84 89 89 87 84 84 89 97 106 123 160 188 203 210 210 201 187 164 146 137 137 137 135 139 146 152 160 179 133 65 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 3 4 5 8 11 13 15 17 19 23 27 32 36 37 33 22 14 13 8 5 4 4 3 3 4 6 7 8 10 14 17 19 21 24
9 14 19 26 38 50 60 65 71 76 82 87 90 95 97 94 90 86 84 80 75 70 66 64 61 59 58 57 60 69 79 84 86 90 95 101 104 102 101 98 97 100 105 111 130 150 167 180 187 185 179 166 150 139 136 130 126 124 124 123 128 146 135 85 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 0 0 0 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 1 1 1 2 3 4 5 7 10 13 15 17 19 22 26 31 35 39 38 37 34 29 24 16 9 4 3 3 4 6 7 7 10 12 12 13 16 18 20
9 11 17 23 32 43 53 60 67 73 79 83 86 88 87 82 77 76 73 72 73 72 68 70 67 63 59 57 60 71 81 89 94 101 106 113 119 119 117 113 109 107 108 113 126 141 156 169 180 183 182 177 169 164 155 144 133 123 117 109 105 111 117 104 19 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 1 1 1 1 1 1 1 1 1 0 0 1 2 3 4 6 9 12 15 17 19 21 24 28 32 37 38 40 43 46 43 35 24 14 7 4 5 6 7 8 8 10 10 10 11 14 17 19
7 9 14 20 27 34 42 52 61 68 73 76 77 73 67 61 54 50 51 56 65 74 75 76 73 68 62 60 61 69 78 87 94 103 109 116 122 125 125 123 121 120 122 128 136 145 155 163 168 174 177 177 175 176 169 156 140 125 113 101 94 97 108 96 32 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 1 1 3 5 8 11 14 17 19 21 23 26 30 33 36 40 44 49 52 48 41 30 18 11 9 8 9 9 9 8 9 9 10 11 12 14 16
7 9 13 19 26 33 41 48 55 60 64 66 63 56 49 43 36 32 33 40 51 67 74 78 76 67 61 60 60 63 69 77 85 93 100 107 113 117 118 120 121 122 124 128 137 147 155 162 165 166 168 171 170 169 166 158 146 130 115 103 97 103 129 70 23 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 0 0 0 0 0 0 0 1 4 7 9 12 16 19 22 24 25 27 31 35 38 43 49 53 53 51 45 34 23 16 13 12 13 12 11 10 9 9 10 11 11 11 12
7 10 15 21 27 34 39 44 49 53 57 58 53 45 37 31 29 29 30 34 42 49 56 62 62 57 55 56 58 61 65 69 74 79 84 90 96 99 101 104 108 110 114 118 124 134 147 158 164 166 165 166 166 166 167 167 158 145 131 117 110 118 144 111 52 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 4 6 9 13 16 18 21 23 24 26 29 32 37 42 48 52 54 53 52 47 38 30 24 21 19 17 16 15 14 13 13 12 11 11 10 10
5 10 16 21 26 32 35 38 43 47 49 46 39 28 19 18 22 28 33 34 32 30 31 33 35 35 39 45 49 52 58 63 67 71 76 82 84 85 86 89 92 95 98 102 107 115 126 138 146 151 155 158 161 164 166 171 168 162 154 146 141 150 166 160 108 15 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 0 1 0 0 0 0 1 2 4 5 7 9 12 15 18 21 23 24 25 28 30 35 41 48 53 54 54 55 55 51 45 39 35 31 26 24 22 21 18 17 15 13 11 10 9 9
2 5 10 15 18 23 26 29 32 34 32 27 21 15 11 12 15 18 20 18 13 11 12 14 17 21 27 34 41 48 55 59 63 66 70 76 78 78 79 80 83 83 85 88 91 94 99 107 113 116 122 132 142 150 155 160 162 164 165 165 165 174 186 196 177 66 17 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 1 2 4 9 12 15 18 20 22 23 24 26 29 33 40 46 53 56 57 58 61 59 54 49 46 45 39 34 31 28 24 21 19 16 13 12 10 8 9
0 1 3 5 9 13 15 17 18 16 14 12 10 8 7 7 8 9 8 7 5 5 6 7 10 14 19 27 33 36 43 48 54 58 59 65 70 73 75 77 76 76 77 78 77 78 80 83 86 87 90 93 105 120 131 139 146 151 157 163 169 179 194 211 219 133 45 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 1 1 2 3 6 10 14 17 19 20 22 24 25 28 31 36 43 49 54 57 60 62 65 64 59 53 50 46 42 39 35 30 25 21 18 15 13 13 12 13 15
0 0 1 4 7 9 9 10 8 7 6 5 4 3 2 3 4 5 5 5 4 4 5 5 7 9 12 18 25 28 32 35 40 46 48 52 58 65 70 72 71 72 74 75 71 69 68 69 70 69 70 73 80 90 100 110 119 128 139 148 159 170 187 207 214 166 79 8 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 0 0 1 2 3 5 6 9 12 16 18 20 22 23 24 27 30 34 40 46 50 53 56 60 65 66 64 60 56 52 49 45 40 35 30 25 22 19 16 15 15 16 18 20
0 0 1 3 5 7 6 5 3 3 2 1 0 0 0 1 2 3 4 4 3 3 4 5 5 7 10 14 18 23 25 27 30 34 38 43 49 54 60 64 66 68 72 75 70 67 65 63 62 60 60 61 63 69 77 86 95 102 110 123 138 155 172 189 196 178 122 44 11 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 0 1 3 6 7 9 12 16 19 22 23 24 25 26 29 34 40 45 49 50 52 55 61 65 65 62 59 56 52 47 42 37 32 28 24 21 18 17 17 17 18 18 18
0 1 2 3 4 5 4 2 1 1 1 0 0 0 0 0 1 1 2 3 3 4 6 7 6 7 10 12 16 19 21 23 24 27 31 35 40 47 52 55 58 60 63 68 67 66 65 63 55 54 53 52 52 56 63 71 79 86 91 99 114 133 152 169 186 180 138 71 25 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 15 19 23 26 26 27 28 30 34 38 43 47 48 49 50 54 59 61 60 60 61 56 50 45 39 33 28 25 22 19 18 18 18 19 18 17 17
1 2 4 5 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4 7 8 9 10 11 13 16 17 19 21 22 24 28 31 33 36 39 44 47 50 54 58 58 58 59 59 56 54 51 49 47 50 55 61 68 74 77 85 98 115 134 153 174 183 162 114 51 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 12 14 19 23 26 28 29 31 33 36 38 41 44 46 47 47 47 51 54 56 58 61 62 58 52 43 34 28 24 22 19 17 18 19 20 19 18 17 17
3 5 7 8 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 11 12 14 16 17 17 19 20 23 25 26 27 27 28 31 35 39 44 48 49 49 50 51 52 52 50 49 47 49 53 56 61 67 71 77 87 100 117 138 162 182 185 153 94 38 10 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 7 9 11 14 18 22 26 28 29 31 33 36 38 40 43 45 45 44 43 45 49 52 54 58 61 61 57 48 39 30 24 20 18 17 18 19 21 22 20 18 17 19
7 9 9 10 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 9 11 13 14 15 15 16 16 17 19 20 21 21 22 24 26 27 29 32 36 39 42 43 46 48 49 47 48 48 48 50 53 55 59 64 70 77 84 97 117 142 173 196 173 122 64 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 14 17 21 24 26 27 29 30 32 35 39 42 44 44 43 41 41 44 47 51 55 59 61 59 51 41 32 25 20 18 18 17 18 19 21 21 20 19 19 20
10 13 14 14 13 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 11 11 10 11 13 13 12 13 15 17 19 20 21 23 23 23 24 25 27 31 34 37 41 45 45 46 46 46 46 48 51 55 61 66 69 72 82 98 122 156 187 187 157 105 40 12 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 1 2 6 11 15 17 20 22 24 25 26 28 30 32 35 39 42 42 41 40 40 42 45 48 55 60 63 61 54 43 34 26 20 18 17 17 17 18 20 20 19 20 21 21 22
14 17 19 19 17 14 7 4 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 5 7 7 6 6 8 9 9 10 12 15 18 20 21 21 21 21 21 21 22 23 25 27 31 37 40 42 42 43 45 46 48 51 55 60 64 68 76 87 103 139 173 191 187 149 77 28 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 18 19 21 22 24 25 27 30 32 34 37 39 39 38 40 43 46 52 58 62 63 60 52 42 33 28 23 20 18 18 19 20 20 19 18 17 19 24 24 23
16 22 25 25 22 16 10 6 2 0 0 0 0 0 0 0 0 0 1 3 5 8 9 9 10 8 7 7 7 9 9 10 10 11 11 12 14 16 17 18 16 16 17 18 21 21 22 23 25 28 32 35 37 37 39 39 40 42 48 52 58 64 71 74 87 113 143 167 177 154 102 50 14 4 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 1 4 9 13 14 15 17 18 20 22 24 26 28 31 32 33 35 36 38 42 46 53 61 66 65 59 51 42 34 29 27 24 22 20 19 20 20 19 17 16 16 18 22 24 23
18 24 27 26 24 17 12 7 3 0 0 0 0 0 0 1 2 3 6 10 12 13 13 13 13 12 11 10 11 12 13 13 13 13 13 13 13 13 13 14 12 11 11 12 13 14 16 20 21 21 23 25 27 28 29 30 31 32 37 40 44 49 53 51 57 70 85 99 112 106 86 59 35 18 9 5 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 1 4 11 12 12 13 14 16 18 20 22 24 26 28 29 31 32 35 39 46 54 62 66 64 57 48 40 35 32 30 28 25 23 21 21 19 18 16 16 16 17 18 19 20 20
17 23 25 23 20 16 11 7 4 1 0 0 0 0 0 3 6 10 14 15 17 18 18 18 17 16 15 14 14 15 15 15 15 14 13 13 13 12 11 11 10 9 10 9 10 12 14 16 17 17 17 17 19 20 20 21 22 23 27 29 31 33 33 32 34 36 38 40 48 51 49 45 36 26 17 10 4 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 7 10 12 12 13 14 15 17 19 21 23 25 27 29 31 37 45 54 62 66 64 56 46 38 34 32 31 29 27 25 23 21 21 19 17 16 15 16 16 17 18 19 20
16 19 20 18 15 11 9 7 6 4 2 2 1 1 0 4 9 16 21 21 23 24 23 22 20 19 18 17 17 18 18 17 16 14 13 12 11 10 9 8 7 7 8 9 10 12 13 14 15 15 15 15 15 16 16 16 17 19 21 23 23 23 22 22 22 22 22 23 24 26 28 28 26 22 17 11 5 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 4 8 12 12 12 13 14 15 18 19 21 23 26 31 37 45 53 60 60 58 52 43 36 32 31 29 29 27 26 24 22 20 18 17 16 15 16 16 16 15 16 17 19
15 16 16 14 12 10 9 8 8 6 5 4 2 1 5 10 16 19 23 29 33 32 28 25 23 22 21 20 20 20 19 17 16 14 13 11 9 8 8 7 7 8 12 14 16 18 20 18 17 17 17 16 15 14 14 14 15 16 17 18 18 18 17 17 18 18 17 17 16 16 18 19 19 18 14 9 4 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 2 5 11 11 12 13 14 16 18 19 21 24 30 37 45 52 58 58 54 48 40 33 30 29 28 27 25 24 23 22 21 19 18 18 18 17 16 16 14 14 14 15 16
13 13 12 11 12 11 11 11 10 9 7 6 4 3 6 12 19 22 25 30 35 35 31 28 26 25 24 24 23 22 21 20 18 16 14 11 8 6 5 5 6 10 15 21 25 28 29 28 26 25 23 21 19 17 16 16 15 15 16 15 16 16 16 17 17 16 16 15 12 10 12 13 13 13 12 8 4 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 6 10 12 13 15 17 18 21 25 32 39 46 50 54 55 52 48 41 33 30 29 28 27 24 23 23 22 20 19 19 18 18 18 17 17 18 17 16 15 15 16
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