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 7 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 9 9 9 10 10 11 12 11 11 10 10 10 11 13 14 15 15 15 14 13 11 10 10 10 10 11 11 11 10 9 8 8 8 10 11 11 11 10 9 9 9 9 9 9 9 12 17 20 18 10 2 1 5 8 9 9 9 9 12 17 23 25 20 13 9 7 6 6 7 7 7 8 9 9 9 9 9 9 9 8 7 7 7 8 10 11 12 12 12 11 10 9 8 7 6 7 8 7 7 7 8 10 11 12 12 11 9 8 8 8 10 12 15 18 21 23 23 21 18 15 12 10 9 9 10 10 9 8 7 6 6 7 7 6 6 6 7 7 7 7 7 7 nan
nan 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 12 14 15 15 14 13 11 11 11 12 12 11 11 10 9 8 8 10 11 11 11 11 10 10 10 10 9 8 9 11 15 18 16 8 1 2 5 8 9 8 9 11 15 19 22 22 18 14 11 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 7 7 6 7 9 10 11 11 11 11 10 9 8 7 7 7 7 6 6 7 9 10 11 12 12 11 10 8 7 7 8 9 12 15 17 19 19 18 15 12 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 10 12 12 13 13 11 11 11 11 12 12 11 11 9 8 8 10 11 12 12 12 11 11 10 10 9 8 8 9 12 16 15 8 4 3 6 8 8 9 11 14 17 17 15 15 16 17 14 10 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 6 7 7 9 10 10 10 10 10 9 8 8 8 7 6 5 5 7 8 10 11 12 12 11 9 7 6 5 6 7 8 10 11 13 13 12 11 9 7 6 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 nan
nan 10 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 9 9 9 9 11 10 10 10 11 12 12 12 11 10 9 8 9 12 13 13 12 12 12 12 11 9 8 7 8 11 15 15 12 8 5 6 8 8 9 13 17 18 12 7 9 15 20 18 13 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 6 6 7 8 9 10 10 10 9 9 9 9 8 7 5 4 5 7 8 9 10 11 11 10 9 7 6 5 5 5 6 7 7 8 8 8 7 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 nan
nan 9 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 10 11 10 10 10 9 8 8 9 8 8 8 10 11 12 12 12 11 10 8 9 11 13 12 12 12 13 13 11 9 8 8 9 12 15 16 13 8 6 6 8 8 10 13 16 14 6 2 5 14 21 21 16 12 10 8 8 8 9 8 9 9 9 9 9 8 8 8 8 7 6 7 8 8 9 10 10 9 9 9 9 8 6 5 5 6 8 9 9 9 10 10 9 8 7 6 5 5 5 5 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
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nan 10 9 9 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 11 11 11 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 9 9 8 9 10 12 13 13 12 12 11 11 12 14 15 16 16 15 15 16 15 14 14 13 11 8 5 2 -0 -2 -2 -1 -0 0 1 2 3 5 7 9 nan
nan 10 10 10 9 9 8 7 6 7 7 8 8 9 9 9 9 10 10 10 10 9 10 10 10 11 12 12 13 13 13 12 12 11 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 12 11 11 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 9 9 9 8 8 8 7 7 8 9 11 12 12 12 12 11 10 10 11 13 13 14 14 15 15 15 15 16 16 16 16 13 10 6 3 -0 -2 -4 -5 -5 -4 -2 -1 1 3 nan
nan 10 10 10 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 13 12 12 11 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 11 11 12 13 12 12 11 11 11 12 11 12 12 12 12 11 11 11 11 11 12 11 11 10 10 10 10 10 11 11 12 13 13 12 12 11 10 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 11 12 12 11 10 9 10 10 10 11 10 10 11 12 14 15 17 19 21 20 20 17 12 8 5 0 -3 -4 -4 -4 -4 -4 -4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
45 33 19 11 7 6 5 4 5 5 5 6 7 7 11 23 43 71 105 162 225 277 315 341 354 358 337 340 370 414 398 341 286 273 295 325 365 385 394 391 367 311 240 179 124 71 29 14 11 11 12 12 10 2 0 0 0 0 0 0 0 0 0 0 0 0 5 23 55 86 79 42 22 10 3 0 0 0 1 5 15 32 52 65 73 77 79 86 100 114 129 145 159 161 149 149 157 178 220 299 443 644 873 1098 1191 852 672 601 568 513 449 352 287 277 345 518 524 476 474 485 408 339 284 228 226 292 390 434 423 407 417 454 479 542 669 782 852 913 879 805 744 720 739 790 800 802 762 643 538 496 394 305 228 172 167 123 104 82 52 28 36 32
23 17 9 4 1 2 2 2 4 5 6 7 7 6 6 7 10 12 17 33 69 112 157 202 254 303 323 359 420 459 434 395 345 320 330 351 380 397 416 432 424 370 288 207 140 88 43 23 15 11 10 10 7 3 1 0 0 0 0 0 1 1 1 0 0 2 10 30 65 103 67 34 15 6 1 1 0 0 0 1 3 15 29 35 36 31 24 36 49 62 80 98 108 105 107 115 129 151 196 270 380 527 733 1050 1112 999 878 787 696 559 427 321 262 262 324 441 441 421 449 493 389 333 335 340 331 351 360 339 310 295 304 346 391 432 535 702 823 848 794 709 624 551 487 433 399 369 332 269 217 208 192 163 127 80 75 62 41 21 9 6 6 6
6 5 3 1 0 0 0 1 2 3 5 6 7 8 8 7 7 6 7 9 14 25 43 64 105 169 234 308 404 505 506 446 393 370 361 366 376 385 405 437 447 403 318 226 148 94 52 26 11 5 5 6 4 3 2 2 1 1 0 1 2 1 1 0 1 4 13 41 96 104 70 36 16 9 5 2 1 0 0 0 0 8 14 17 16 7 2 8 14 26 46 62 69 73 80 91 105 131 173 232 315 429 589 913 1061 1090 1061 1007 835 624 425 283 229 235 267 287 303 338 397 446 412 385 399 436 418 363 294 228 183 170 174 180 199 236 300 394 499 562 549 490 412 341 299 258 215 180 168 119 96 90 91 84 75 58 38 20 8 3 4 4 5 5
1 0 0 0 0 0 0 0 0 1 2 4 5 6 7 8 7 7 7 7 7 8 10 13 25 56 102 162 236 341 421 437 418 401 382 365 361 365 378 403 424 421 354 257 164 91 52 26 14 10 8 6 6 7 6 4 3 2 2 5 6 4 2 1 6 11 19 39 102 112 78 40 22 16 11 8 3 0 0 0 1 3 5 6 7 3 2 1 2 5 15 25 36 47 57 67 81 107 143 193 261 353 492 676 886 1057 1074 897 679 562 411 263 213 205 197 188 209 274 377 442 449 446 469 492 431 322 215 135 83 66 65 55 58 79 104 148 201 245 273 281 269 250 209 168 140 125 110 79 58 47 40 36 30 18 10 5 4 4 4 4 3 4
0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 5 5 6 6 6 7 8 8 9 9 16 31 56 96 177 267 341 388 409 395 369 353 350 355 374 392 419 396 317 205 99 51 28 19 17 13 9 8 8 6 3 2 2 2 2 3 3 1 5 13 20 25 35 70 100 83 43 28 21 19 16 9 3 2 2 2 1 1 2 3 3 2 2 1 1 2 6 14 25 38 48 61 83 118 164 217 277 361 493 710 942 1029 919 737 541 381 263 210 181 162 158 189 268 379 442 452 455 500 489 377 242 132 66 34 24 21 19 18 22 27 42 62 85 110 130 132 113 96 91 98 104 103 89 65 45 28 22 19 15 11 6 5 4 3 1 2 3
0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 4 4 6 7 8 9 9 10 14 24 52 97 156 226 303 362 375 369 356 341 325 343 372 413 435 398 276 137 66 35 25 24 20 14 10 6 4 2 1 1 0 0 0 0 2 8 16 20 23 34 64 95 86 46 28 22 21 19 14 11 10 6 3 2 1 2 3 3 3 2 2 2 1 1 4 9 16 24 42 66 97 139 176 211 263 382 580 800 942 906 744 545 383 271 206 170 154 160 201 297 392 435 434 444 473 428 303 161 64 28 18 16 16 14 12 9 10 13 20 32 42 53 53 44 40 51 74 88 89 73 52 39 32 26 16 9 6 5 5 4 2 2 4 5
0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 3 4 5 6 8 9 11 17 26 42 64 94 135 205 277 324 349 354 341 307 313 341 388 437 460 331 189 90 40 24 23 21 17 11 6 2 1 0 0 0 0 0 1 2 6 11 14 20 32 87 107 67 40 31 27 25 21 16 14 13 7 2 1 1 2 2 2 3 3 2 2 1 1 1 3 5 11 29 52 74 102 131 158 203 294 461 663 845 864 719 547 396 285 214 174 158 174 226 323 403 428 410 405 415 350 225 101 35 14 9 10 11 10 9 10 12 13 14 23 26 28 27 28 36 45 59 67 61 45 40 40 38 31 19 9 6 5 5 5 5 5 7 21
0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 3 4 4 5 6 8 13 20 28 39 51 64 84 132 193 254 307 345 340 310 301 314 347 393 435 336 210 103 40 21 21 21 18 15 9 2 0 0 1 1 0 0 1 3 5 7 7 20 36 54 62 47 36 32 28 25 22 19 16 9 4 1 0 1 2 2 2 4 4 3 2 2 4 8 10 12 17 26 38 50 65 84 112 160 253 416 599 746 786 696 539 405 303 231 185 168 189 238 318 403 444 403 386 359 290 169 66 21 6 5 7 8 8 9 11 13 15 15 19 21 21 22 26 32 39 47 50 43 41 44 46 42 34 17 8 5 5 5 5 4 7 24 70
0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 4 5 5 7 14 21 26 33 40 49 64 91 128 177 235 297 315 310 302 303 322 357 382 330 231 118 31 21 18 18 18 19 13 4 2 4 6 3 0 1 4 7 7 6 7 20 37 49 52 43 33 27 25 25 23 21 16 11 5 1 0 1 2 2 2 3 3 3 3 3 3 4 12 18 22 25 29 36 43 57 85 136 229 387 552 668 709 651 532 417 323 248 195 180 198 245 316 409 465 424 375 326 245 126 51 17 8 7 6 8 8 9 12 16 19 20 19 20 23 26 27 30 37 46 52 54 55 58 60 47 31 16 8 5 6 6 10 15 47 99 168
1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 2 2 3 4 5 7 15 24 26 28 34 42 54 70 92 122 163 213 255 286 298 297 304 332 352 341 277 146 49 23 16 14 15 21 12 5 3 4 6 0 0 3 5 6 5 6 9 20 34 47 49 40 31 25 21 18 15 17 17 13 8 1 0 1 1 2 2 2 3 3 3 3 3 6 12 19 23 23 25 31 40 54 83 144 219 348 498 608 632 591 512 423 338 261 208 194 210 253 330 456 495 448 368 293 201 99 39 14 8 8 7 8 9 10 11 17 23 27 26 24 23 24 34 45 52 75 75 67 59 63 63 53 38 22 11 8 13 16 42 105 174 233 253
2 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 2 4 5 7 11 20 25 28 34 43 55 69 85 104 129 171 217 258 282 287 288 301 318 334 321 195 95 39 15 10 8 11 6 2 1 0 0 0 0 0 2 5 6 9 15 23 33 44 45 39 33 26 19 17 18 17 16 15 14 7 4 2 1 1 2 2 2 3 3 3 3 7 12 18 22 21 23 27 37 51 80 144 222 322 444 536 566 540 485 418 346 272 228 213 220 250 348 456 478 420 336 257 162 81 31 10 7 6 7 9 11 14 13 22 32 38 39 32 32 41 55 70 65 64 52 40 39 48 59 62 47 15 13 36 84 151 220 262 275 285 260
1 0 0 1 2 3 3 2 2 1 1 1 0 1 1 0 0 0 0 0 1 2 3 5 6 8 16 25 29 35 44 58 76 95 109 123 141 178 221 250 266 275 282 292 304 301 217 131 61 19 6 3 2 2 1 0 0 0 0 0 0 1 5 8 12 15 18 26 37 42 41 37 30 23 22 21 18 15 18 19 14 8 3 0 1 1 1 2 2 4 3 3 4 8 12 17 20 23 27 34 50 79 133 206 291 402 470 493 484 451 409 347 287 245 223 216 245 343 421 428 366 296 220 139 71 28 11 6 4 6 11 14 18 24 33 39 41 41 36 35 42 53 62 55 48 44 42 39 42 43 35 24 29 64 132 215 288 292 287 279 250 215
1 1 1 1 2 3 2 2 3 3 4 5 2 0 0 0 0 0 0 0 0 1 1 2 4 7 12 21 30 33 39 51 69 90 108 118 123 146 184 210 232 257 275 286 289 268 209 143 81 33 10 4 2 1 0 0 0 0 0 0 0 0 2 7 12 14 11 24 34 39 41 44 39 36 32 27 23 17 20 19 15 9 5 1 1 1 1 1 2 4 3 3 3 4 7 12 16 21 26 30 50 79 119 171 230 326 395 431 436 415 391 345 294 250 222 215 250 326 390 399 346 268 188 118 63 24 12 6 5 8 13 17 23 32 38 35 35 34 30 28 34 38 38 36 34 33 45 42 38 37 41 64 122 203 280 330 336 330 325 274 186 150
1 1 1 1 3 3 2 3 3 4 5 4 1 0 0 0 0 0 0 0 0 0 0 2 3 4 7 14 22 28 36 48 62 76 88 98 107 122 146 169 195 226 255 277 283 254 210 165 117 62 30 14 7 5 1 1 0 0 0 1 0 0 2 6 10 13 13 22 30 35 36 46 52 49 42 35 37 31 29 24 18 13 9 4 1 1 1 1 2 3 3 3 2 3 6 8 10 13 22 29 47 74 110 153 198 262 323 368 393 388 374 338 288 237 217 223 264 328 390 371 310 234 162 104 62 32 18 11 9 9 14 20 25 30 32 29 30 30 26 18 24 25 22 17 15 15 13 18 36 79 141 198 251 302 330 322 295 270 241 201 136 114
2 3 3 3 4 4 4 4 4 3 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 13 26 42 59 75 90 93 96 104 114 126 142 161 184 210 238 256 242 217 187 154 106 63 35 20 16 11 6 2 0 0 1 1 1 2 5 7 11 15 22 27 29 28 38 42 39 34 34 41 44 42 34 23 17 12 8 5 2 2 1 2 2 3 4 3 4 5 6 5 7 19 31 46 69 103 148 190 231 269 308 344 362 356 322 264 225 212 226 270 335 362 317 254 192 139 97 64 39 23 15 11 12 15 21 27 31 35 35 32 26 19 10 10 9 7 4 5 7 15 39 81 154 214 251 278 308 277 245 216 189 163 131 109 94
3 4 4 4 4 5 5 5 4 4 4 3 2 1 1 2 2 1 1 0 0 0 0 0 1 2 3 4 8 23 44 66 88 108 120 122 119 117 119 123 133 145 160 181 204 205 199 194 182 149 104 66 41 28 21 15 7 1 1 0 0 0 3 8 11 12 15 19 22 22 22 28 35 42 45 44 48 50 50 45 28 18 13 11 7 2 1 1 1 2 3 4 5 6 7 7 6 12 23 35 48 69 105 145 181 208 227 264 304 329 328 294 240 212 206 225 271 327 310 257 203 161 124 92 64 41 25 15 12 14 17 23 32 37 39 39 34 20 12 6 4 4 4 4 7 19 52 103 167 221 240 232 235 239 217 191 169 145 126 108 91 79
4 3 4 5 6 6 6 5 5 5 5 6 6 5 5 4 3 3 2 1 1 1 0 0 0 1 2 2 4 11 22 35 62 89 110 124 133 130 125 122 122 125 123 137 148 155 163 178 187 174 142 103 67 41 27 21 17 11 7 2 0 0 2 7 9 11 15 18 16 14 15 21 31 41 52 59 62 60 52 43 28 19 13 8 4 3 2 2 2 4 4 6 8 9 9 8 10 18 29 42 54 79 111 144 175 201 219 252 284 302 297 262 227 205 202 224 275 300 275 225 177 140 110 83 58 36 22 15 15 19 24 30 38 40 40 37 31 16 8 4 3 3 5 7 15 39 88 150 208 235 232 212 215 199 179 161 140 116 100 85 70 57
3 3 3 5 6 8 8 7 7 7 8 10 11 10 8 7 6 5 3 2 1 1 1 1 0 0 1 1 1 3 5 9 23 44 76 113 145 145 138 134 134 136 122 128 131 131 135 152 171 175 162 132 90 52 32 27 26 22 15 6 1 1 1 3 6 9 12 14 12 10 13 22 36 54 65 69 68 60 45 32 24 18 12 7 5 4 5 6 9 11 9 8 10 13 13 14 18 27 38 50 66 87 113 142 169 195 223 250 269 275 256 231 211 199 199 228 271 282 257 205 153 120 93 69 45 33 24 20 22 27 36 41 43 41 37 35 25 13 5 3 2 3 5 11 27 60 122 177 212 221 212 207 196 176 154 138 113 89 74 65 56 54
3 3 3 4 6 7 7 7 8 7 11 15 16 14 12 12 9 6 5 4 2 1 1 1 0 0 0 0 0 1 1 2 4 11 31 66 102 120 130 138 147 159 145 138 132 123 119 134 156 174 180 168 119 74 48 37 31 27 16 6 1 1 1 1 3 5 6 9 11 12 18 29 45 61 68 66 57 44 28 17 13 11 7 4 3 3 4 5 8 12 11 10 12 15 15 18 24 33 45 57 73 92 113 135 152 174 198 220 236 239 231 220 208 198 202 233 258 258 229 180 133 100 78 61 43 35 30 30 34 42 51 56 54 46 38 29 17 7 2 3 3 4 8 21 47 97 150 190 208 206 199 184 162 137 114 100 84 68 57 51 49 47
2 2 3 4 4 4 5 7 9 9 15 18 18 17 15 14 12 8 6 6 4 4 4 3 2 1 0 0 0 1 1 1 2 2 6 21 44 66 89 112 128 139 142 140 131 118 117 133 156 179 197 205 158 112 78 56 46 38 23 11 6 4 1 0 0 2 5 8 13 19 28 41 53 56 51 40 29 18 9 5 3 3 2 2 2 2 3 6 8 8 5 4 6 6 8 12 18 26 40 55 71 87 101 117 130 145 163 182 202 210 209 202 194 193 205 221 228 217 185 147 113 88 74 63 52 44 39 41 50 61 66 66 61 44 29 16 7 2 3 3 4 6 14 34 71 116 158 185 188 172 151 125 100 76 62 58 57 55 47 40 39 39
2 2 2 2 2 3 4 5 9 13 18 24 26 24 23 22 18 15 12 13 15 15 13 11 8 3 1 0 0 0 1 1 1 2 2 5 11 23 41 65 84 108 132 148 150 133 130 141 161 184 204 215 192 157 120 90 77 65 49 34 22 12 4 1 0 2 8 12 18 28 39 50 51 43 31 17 6 2 1 0 0 0 0 1 2 2 6 8 6 4 3 3 4 5 5 6 13 18 26 37 50 63 80 98 111 123 141 159 176 185 187 184 180 190 203 212 214 200 166 132 103 83 74 62 52 45 44 51 61 66 63 52 32 16 8 4 2 2 4 4 6 11 25 51 83 114 139 151 138 113 83 59 45 34 29 29 33 31 24 22 23 24
2 3 3 2 1 1 3 4 11 20 30 39 46 43 40 36 31 27 27 27 27 26 26 22 13 7 4 2 1 0 0 0 1 1 1 1 3 5 11 22 35 57 92 137 175 172 174 177 185 201 215 225 220 199 165 128 109 93 77 62 49 29 13 4 1 3 13 20 27 35 44 55 46 31 18 7 1 0 0 0 0 0 0 2 3 3 6 8 6 4 4 4 6 16 27 30 25 22 22 24 31 44 63 80 90 95 110 127 140 150 162 176 188 193 198 202 197 175 143 110 84 68 60 53 50 54 57 61 58 47 29 11 5 2 1 0 2 3 5 5 8 14 30 49 68 77 83 80 68 50 29 18 13 11 10 11 12 11 9 9 11 12
3 5 7 8 6 3 4 7 17 31 46 59 72 69 63 56 48 43 42 39 37 36 34 33 21 12 7 4 2 1 1 1 1 0 0 0 1 1 2 4 7 12 34 92 147 184 214 234 240 248 252 249 239 226 207 169 137 111 92 80 70 48 25 8 2 6 18 29 33 34 36 39 33 23 14 4 1 0 0 0 0 0 0 1 3 3 6 6 4 4 4 4 6 13 23 27 35 36 34 34 39 49 57 63 67 70 84 101 115 125 137 150 162 171 177 180 166 134 102 81 64 59 55 50 50 58 60 50 36 21 8 1 0 0 0 1 2 4 5 5 8 13 18 22 27 28 27 23 17 11 5 3 2 1 2 3 3 3 4 5 7 8
15 12 17 18 16 10 9 14 29 48 66 79 88 92 90 84 72 59 51 48 47 46 40 40 29 19 12 6 5 3 2 2 1 0 0 0 0 1 1 1 1 1 10 54 100 150 204 258 289 304 310 306 295 278 249 211 171 133 104 92 79 59 33 9 4 9 20 31 39 34 28 22 18 14 10 4 1 0 0 0 0 0 0 1 1 3 4 3 2 3 3 3 3 5 7 13 27 35 38 39 46 50 52 51 53 59 74 92 108 125 137 149 159 166 174 167 146 120 91 66 55 52 49 46 44 37 28 17 9 5 2 0 0 0 0 2 3 4 4 2 4 5 4 3 2 2 2 2 1 1 0 0 0 0 0 1 1 1 2 3 4 5
16 14 19 19 15 9 9 26 50 74 92 101 107 112 114 111 100 83 75 77 82 77 59 47 35 26 19 15 10 6 3 2 1 0 0 0 0 0 1 1 1 1 1 16 38 71 120 183 247 309 350 362 349 328 295 254 209 164 128 105 84 59 32 12 7 9 17 28 38 31 22 14 8 4 6 5 3 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 2 1 2 8 16 19 20 20 21 24 25 27 36 47 58 68 79 100 112 116 115 112 98 79 55 30 24 23 21 19 12 8 9 7 3 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2
19 15 22 25 23 20 28 59 87 107 120 124 129 134 141 147 142 132 131 145 170 155 115 81 54 35 28 25 18 11 6 2 2 1 0 0 0 0 0 1 1 1 1 1 2 10 29 68 126 223 314 353 360 346 318 281 241 200 164 131 97 62 31 15 9 9 15 25 32 29 21 11 4 1 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 3 4 6 9 13 17 17 13 17 30 32 28 21 10 3 3 1 1 2 4 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2
43 41 46 49 48 53 66 98 130 154 174 193 201 202 196 179 186 212 214 224 275 245 196 140 86 52 44 38 30 22 12 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 12 26 77 162 253 306 326 318 288 261 230 195 156 113 71 40 20 9 7 11 21 26 23 16 9 3 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 2 1 0 0 0 0 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2
114 86 74 70 78 96 102 128 169 207 226 222 207 186 162 147 156 174 198 225 265 262 242 193 123 85 71 59 47 34 20 11 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 11 37 107 187 257 298 293 280 254 220 176 127 84 49 23 7 2 6 13 16 10 1 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 0 0 0 1 0 1 1 1 1 1 1 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 2 2 2 2 2
218 164 126 109 127 138 141 156 175 174 190 177 153 129 113 117 111 109 111 121 155 198 218 208 183 151 118 93 74 53 34 20 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 19 61 133 222 274 296 284 247 197 142 94 56 26 6 1 1 3 4 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 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 2 3 3 3 2 1 1
310 251 210 185 200 196 189 186 186 157 161 145 117 91 72 63 60 56 51 56 81 136 181 193 199 183 161 134 107 80 58 39 23 10 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 36 104 172 264 301 270 219 155 100 59 31 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 2 1 1 2 2 1 1 1 2 2 3 3 2 2 3 2 1 0
360 312 289 267 277 266 243 214 188 174 144 107 81 79 41 34 34 33 29 30 42 85 133 160 173 162 141 128 128 109 84 67 54 31 18 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 23 49 128 209 243 234 167 107 63 34 13 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 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 0 1 1 2 2 2 2 1 1 1 0 0 1
340 326 325 328 333 316 283 246 194 154 110 76 59 56 27 17 19 22 20 22 30 47 72 96 120 143 146 130 123 104 84 78 77 57 38 21 10 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 25 60 112 182 166 119 72 31 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 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1 2 3 4 3 3 2 2 2 2 2 2 1 0 0 0 0 1 2
298 330 348 356 355 333 297 263 204 148 110 88 66 46 28 16 10 9 9 11 15 24 36 51 69 99 126 126 102 82 68 63 62 55 46 37 27 14 9 6 4 2 0 0 0 0 0 0 1 1 1 1 1 1 1 0 2 5 17 65 91 89 61 22 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 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 2 2 1 1 1 2 3 4 4 3 2 1 1 1 1 1 1 0 1 1 1 1 2 3
350 352 347 338 333 319 289 251 194 146 108 77 65 53 38 22 6 2 3 3 6 13 24 38 51 68 87 92 76 64 55 46 39 36 34 31 27 20 15 13 9 5 2 1 0 0 0 0 1 2 2 2 3 2 2 2 1 0 0 2 11 25 18 7 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 1 1 1 2 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 1 2 3 3 4 4 3 2 1 0 0 0 0 0 0 1 1 2 2 4 5
363 332 305 284 278 276 265 228 171 129 100 67 67 64 55 38 10 5 2 2 2 4 15 28 41 52 65 66 59 54 49 40 27 24 22 18 14 11 12 14 13 9 6 3 1 0 0 0 0 1 2 3 4 3 3 3 1 1 1 0 0 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 1 2 2 2 3 3 3 4 4 4 5 6 5 4 3 3 4 3 3 3 3 3 4 4 5 4 4 3 2 0 0 0 0 0 0 0 1 1 2 3 4 5 6 8
315 267 243 229 226 229 226 214 177 135 102 84 78 64 48 34 12 6 4 3 3 2 10 16 24 35 47 43 40 40 42 37 26 25 24 17 11 6 5 7 9 8 7 5 2 1 0 0 0 1 2 4 4 5 5 5 3 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 1 2 3 4 5 5 4 5 5 5 5 5 5 5 4 5 3 4 4 4 4 4 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 2 3 3 5 6 7 8 9
250 220 209 207 211 221 235 240 213 160 104 69 56 42 28 19 12 8 7 6 6 4 4 6 10 17 27 24 21 22 29 21 13 9 8 12 10 6 3 3 3 4 4 4 4 3 1 0 0 0 2 3 5 5 4 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 6 6 6 6 6 5 5 5 5 4 4 3 3 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 2 3 3 4 5 6 8 8 9
217 201 196 199 205 205 211 217 203 167 127 88 63 45 31 21 15 11 10 10 10 9 11 14 16 13 15 14 13 14 13 9 5 4 5 9 7 5 4 3 3 2 2 2 3 2 1 1 0 0 1 3 4 5 3 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 7 7 6 6 5 4 4 4 4 4 4 3 3 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 8 9 10
199 184 177 180 192 189 193 189 179 169 164 132 101 76 54 37 26 18 14 14 14 15 17 21 24 25 23 21 20 19 17 14 10 6 2 3 5 5 3 3 3 2 1 1 1 1 2 1 0 0 1 2 3 4 3 3 2 2 4 5 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 7 7 7 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 9 10
189 171 160 164 188 175 159 148 146 151 167 160 144 126 103 82 63 46 32 23 21 23 28 34 36 35 32 30 29 27 23 19 16 14 12 10 9 8 6 5 3 2 2 1 0 0 0 1 1 0 0 1 2 3 3 2 2 1 2 3 3 3 3 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 2 4 8 7 7 7 7 6 5 5 4 4 4 3 4 4 4 3 4 4 3 2 3 3 2 1 1 1 1 1 1 0 0 0 0 1 1 2 3 5 6 7 8 9 9
191 175 165 167 183 159 133 112 103 104 131 155 176 190 173 157 135 109 87 52 35 33 40 48 51 51 50 49 44 40 36 31 27 24 22 20 19 19 18 15 11 7 5 2 1 1 1 2 1 0 0 0 1 2 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 1 2 6 7 8 7 6 6 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 1 2 3 3 3 4 5 7 8 9 10 11
207 194 180 166 154 139 121 102 91 92 111 143 186 243 230 200 170 157 168 96 56 44 48 64 70 73 74 73 68 62 55 48 42 38 35 33 32 33 34 30 25 17 4 5 4 2 1 1 0 0 0 0 1 2 2 3 2 2 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 7 6 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 2 2 3 4 4 5 7 8 11 11 11
224 225 219 208 188 161 133 109 99 97 104 129 177 233 270 274 239 171 210 158 102 67 58 86 96 101 104 104 98 91 81 70 61 55 50 47 46 49 47 44 42 45 36 25 17 13 8 6 5 4 4 2 1 2 2 2 2 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 5 5 5 4 4 4 4 4 5 5 4 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 10 12 12 11
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