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 13 12 11 10 9 10 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 7 7 7 8 10 10 10 11 11 11 12 12 11 11 10 9 9 8 8 9 13 16 17 14 8 6 7 9 10 10 11 10 10 11 13 17 19 19 17 15 14 12 11 10 10 9 9 9 8 8 8 9 9 9 9 10 11 12 13 14 14 14 14 13 12 12 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
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nan 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 13 15 17 18 18 17 16 15 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 9 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 11 14 18 22 24 26 26 25 24 22 20 17 14 10 5 2 -2 -5 -7 -6 -5 -3 1 2 3 4 5 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 12 13 15 17 18 18 17 16 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 8 7 7 9 14 18 22 24 26 27 28 29 29 29 28 27 25 21 17 12 6 1 -3 -6 -7 -6 -6 -6 -6 -5 nan
nan 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 13 15 17 18 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 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 12 15 17 19 20 20 22 24 27 28 30 31 32 32 31 28 23 18 14 9 3 -1 -3 -5 -7 -9 -9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
297 281 266 249 235 229 232 245 255 261 262 257 243 224 203 176 148 122 99 81 69 60 54 50 49 49 47 44 43 41 38 36 35 37 38 38 37 35 33 31 27 19 11 7 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 3 10 22 36 51 68 86 112 131 143 147 148 152 170 197 233 272 309 327 321 298 264 225 197 174 150 128 107 82 62 46 29 16 6 2 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 4 4 5 6 6 6 7 9 9 10 13 15 16 21 25
352 339 321 301 289 284 282 290 298 302 305 302 289 276 257 233 205 176 145 118 99 85 74 67 64 62 59 56 55 51 47 43 41 43 45 43 41 37 35 34 30 23 16 11 6 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 2 5 11 19 28 38 50 62 73 79 81 84 97 117 141 169 200 225 235 230 210 179 148 124 100 78 62 47 30 19 12 6 2 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 4 6 6 6 7 8 9 9 10 12 14 14 18 23 25
397 389 379 368 352 334 334 338 341 343 345 346 336 325 308 286 260 227 190 160 134 113 98 88 82 78 75 72 70 64 58 54 51 50 50 50 47 42 37 32 28 23 17 11 5 2 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 4 7 12 19 26 32 35 39 40 45 56 73 94 118 140 155 160 153 134 104 80 60 42 26 20 13 6 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 1 1 2 3 4 4 5 6 6 7 8 9 9 10 11 13 14 15 19 24 25
418 420 423 418 404 383 376 376 377 379 381 381 373 362 347 329 305 271 231 195 165 143 128 119 112 106 100 95 91 85 78 70 64 57 54 53 50 46 41 34 29 24 18 11 5 0 1 2 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 1 3 6 10 15 17 15 17 18 20 27 38 56 72 87 96 97 86 65 41 27 19 12 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 1 1 2 2 3 4 5 6 6 6 8 9 9 9 10 13 14 13 15 20 25 24
430 443 450 447 438 423 412 410 412 411 409 404 398 393 385 370 345 312 273 234 202 185 172 162 153 145 136 127 121 114 107 97 86 75 67 63 60 54 47 41 35 31 25 18 10 3 2 3 5 6 5 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 0 0 1 3 6 9 12 11 11 9 8 12 17 25 34 42 47 44 34 19 8 3 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 1 1 2 3 4 4 5 6 7 7 9 10 10 11 13 14 14 13 16 22 25 24
430 451 464 466 461 453 444 441 442 440 434 427 422 419 414 403 378 346 313 279 249 235 220 207 196 186 175 167 160 152 143 133 122 108 97 88 81 72 63 52 47 42 36 29 19 10 6 6 7 9 12 13 10 7 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 9 9 7 4 2 3 4 7 10 12 13 9 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 1 1 2 3 4 5 6 7 7 9 10 10 10 11 14 14 14 13 15 22 23 23
411 438 458 470 475 474 470 468 467 462 455 444 437 432 426 413 390 365 342 319 292 277 260 240 222 211 209 204 197 191 185 177 166 150 134 119 106 94 84 71 61 52 43 37 26 16 11 8 7 9 13 17 18 16 9 4 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 3 6 6 4 1 0 0 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 1 1 2 3 4 5 5 6 7 8 9 10 10 10 13 15 15 14 13 17 21 23 22
360 393 421 445 461 473 479 482 480 472 457 444 435 429 424 413 395 376 359 344 325 311 291 268 248 239 238 234 230 227 225 220 207 189 171 152 135 119 105 90 75 62 49 42 30 19 11 7 5 6 10 15 19 20 14 12 7 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 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 1 1 2 3 4 5 6 7 8 10 10 10 9 11 14 16 16 15 14 17 21 23 22
287 326 359 393 419 442 460 470 472 466 448 428 415 414 423 419 408 394 381 369 355 339 319 298 282 269 261 259 260 257 253 246 233 216 198 180 159 142 122 103 90 79 65 54 41 27 15 7 4 4 7 12 18 23 17 9 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 0 0 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 5 7 8 8 9 10 10 10 13 15 16 16 15 15 18 21 23 22
217 254 289 328 362 390 413 426 430 433 429 418 405 401 425 434 432 426 416 405 393 375 356 338 321 306 298 296 290 279 271 261 247 232 217 201 176 149 129 117 109 103 91 79 66 51 33 19 12 10 10 13 17 21 16 10 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 0 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 3 4 5 6 7 7 8 10 11 10 11 12 14 17 17 16 16 17 20 22 23
139 179 221 257 287 314 335 339 349 363 379 394 402 398 414 425 434 440 443 439 431 418 403 386 365 348 337 328 318 306 294 282 267 254 243 230 205 175 154 145 142 134 123 112 101 86 64 45 32 26 23 21 21 20 14 7 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 0 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 6 7 7 7 10 10 11 11 11 14 16 17 17 17 16 19 22 24
78 112 147 172 192 212 232 232 245 271 307 346 378 390 403 416 427 439 453 456 453 445 435 422 407 391 380 371 361 348 330 315 303 293 282 269 249 223 202 192 182 169 155 143 130 107 82 65 55 48 43 36 33 27 16 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 0 0 0 0 0 0 0 0 0 0 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 6 6 7 7 8 9 11 11 11 10 12 15 17 17 16 17 18 20 22
40 60 78 92 104 115 124 128 151 188 236 291 344 375 395 411 427 444 455 461 462 459 454 450 443 431 419 409 400 386 367 351 339 332 322 309 290 270 253 237 221 205 189 175 159 133 114 103 91 76 64 56 52 47 36 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 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 1 1 2 3 4 4 5 5 6 6 6 7 9 11 12 11 10 11 13 16 16 16 16 16 18 20
23 32 39 42 44 49 52 60 83 119 168 231 291 330 359 389 422 448 463 474 481 483 481 479 472 460 446 432 422 406 388 373 360 346 338 333 318 296 278 263 249 237 225 212 198 182 166 148 130 109 91 80 76 74 65 30 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 5 6 6 7 7 8 10 12 12 12 11 12 15 16 16 16 15 16 17
18 24 25 21 17 18 20 23 36 62 101 155 204 247 297 352 402 433 459 479 496 513 518 512 501 488 473 458 441 421 404 393 383 375 370 356 332 310 296 282 271 262 254 246 242 231 213 191 168 143 120 105 101 105 106 71 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 6 6 6 6 7 9 11 11 12 12 12 13 14 15 17 16 16 16
17 22 21 16 11 9 9 10 16 31 59 102 150 200 253 309 360 405 440 471 501 533 541 536 525 512 498 484 465 447 432 418 400 384 366 350 337 325 318 306 295 287 276 263 251 243 233 218 198 177 153 135 129 133 138 119 57 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 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 3 3 4 5 5 5 5 6 7 6 8 10 13 14 13 13 13 13 13 15 16 16 17
15 21 22 19 15 15 11 9 11 19 36 66 95 131 179 238 301 362 418 468 513 547 563 564 556 543 526 513 497 481 464 444 423 409 397 382 366 354 347 338 328 318 302 281 261 248 240 231 219 206 188 169 156 153 159 154 104 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 2 3 3 3 4 5 5 5 5 6 7 7 8 9 10 11 12 12 14 15 14 14 14 15 17
17 20 24 28 28 29 23 15 13 16 24 38 53 73 103 147 213 284 352 416 482 535 570 583 578 568 555 543 528 510 491 472 457 443 428 411 398 387 378 369 359 348 331 308 284 264 252 249 242 232 219 201 183 164 165 158 121 48 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 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 1 1 1 1 2 3 3 3 4 3 5 6 5 5 4 6 7 7 8 9 9 9 9 10 12 13 14 14 13 13 15
20 22 26 32 33 33 26 19 14 15 18 26 34 40 47 69 123 191 263 329 393 467 531 570 581 583 576 569 556 536 521 507 491 473 453 437 428 419 408 397 387 375 357 334 309 289 276 277 270 259 246 231 212 187 180 169 123 37 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 1 2 1 1 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 4 4 5 6 6 5 5 6 7 7 7 8 9 9 9 10 10 10 11 11 12 13 15
24 25 27 33 34 31 25 18 15 13 16 21 25 27 29 41 69 115 178 241 292 365 436 492 531 555 574 585 582 568 557 543 523 502 487 476 466 454 440 426 412 396 378 360 344 331 319 307 295 282 269 255 235 217 205 189 141 37 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 1 2 2 3 4 4 3 3 2 2 2 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 5 5 5 6 6 7 7 6 6 6 7 7 8 9 8 7 8 9 9 9 8 9 10 12 14
29 29 30 31 31 30 26 18 16 16 17 19 21 23 25 36 53 80 121 183 232 276 327 390 447 504 554 584 589 581 571 560 546 529 516 506 495 480 463 444 428 414 400 387 371 354 337 322 307 293 279 268 254 241 230 219 170 78 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 4 3 3 2 2 1 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 5 6 6 7 8 8 8 8 7 7 7 7 8 8 8 7 6 7 7 7 7 8 9 9 10 13
27 28 28 27 26 25 23 18 18 17 19 21 23 23 25 34 48 68 91 143 191 235 283 334 393 457 507 537 555 562 554 546 542 540 531 522 508 490 472 453 436 421 408 394 376 358 340 324 310 296 284 274 263 253 244 246 189 102 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 3 2 2 3 4 5 6 5 2 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 7 7 7 8 9 9 9 9 9 8 9 9 8 7 6 6 6 7 8 8 9 8 8 8 9 11
18 19 19 19 20 22 21 17 15 16 20 24 23 23 25 32 42 53 67 99 140 188 243 294 347 403 455 498 529 541 539 538 539 536 530 520 506 488 473 456 441 428 416 401 378 357 338 323 312 303 295 286 273 258 248 250 194 102 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 4 4 4 6 7 8 8 5 2 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 6 7 8 8 7 8 9 10 11 11 11 11 9 7 7 7 7 8 8 8 8 8 8 8 8 9 11
8 9 9 10 12 13 14 12 11 12 16 21 20 22 25 30 36 40 49 67 94 132 179 231 286 341 390 427 460 481 490 493 499 505 503 496 484 468 454 442 433 425 413 397 378 358 339 325 317 312 308 302 289 268 260 254 214 129 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 2 5 4 4 5 5 6 7 9 11 12 10 9 7 5 3 1 1 0 0 0 0 0 1 1 2 2 3 3 4 4 4 6 7 7 8 8 9 10 11 10 12 12 11 9 8 9 9 9 9 8 8 7 7 8 8 9 9 10
1 2 4 4 5 7 7 6 7 9 12 15 17 19 25 33 40 39 40 46 64 96 132 178 226 271 310 344 381 408 429 447 459 461 460 456 447 432 418 410 404 399 391 379 366 351 336 323 316 314 312 308 297 280 270 261 233 165 44 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 0 1 2 2 3 4 6 10 14 18 20 20 19 19 17 13 7 2 1 1 0 0 0 1 1 1 2 2 3 3 4 4 5 6 6 7 7 8 9 10 9 8 9 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10
0 0 0 0 0 2 2 3 5 7 9 12 14 17 22 31 34 31 29 30 40 67 97 130 162 191 219 266 313 354 388 418 431 435 433 427 414 395 379 369 365 363 358 350 341 333 324 316 309 305 302 297 288 275 267 262 243 164 66 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 21 23 29 31 31 27 19 10 3 0 1 1 1 1 1 1 1 2 2 2 3 4 4 5 5 5 5 6 7 7 6 7 7 7 7 8 9 10 10 10 10 10 10 11 12 12 12 12 11 10 10
0 0 0 0 0 0 1 3 5 7 10 13 16 18 20 26 29 29 24 22 26 36 50 68 91 122 143 185 233 281 329 376 401 414 415 408 395 374 353 337 328 328 325 320 315 311 309 305 297 290 286 284 278 269 261 254 243 155 61 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 23 26 22 21 19 13 6 2 1 1 2 2 2 2 3 3 3 3 3 4 5 4 4 4 4 4 5 5 4 5 6 7 7 8 9 10 10 9 10 12 13 13 13 13 13 12 11 12 13
0 0 0 0 0 0 2 4 7 10 14 17 18 19 19 22 22 21 18 16 14 14 16 23 39 63 86 114 146 184 237 298 342 372 388 388 379 365 349 333 321 311 303 297 292 290 290 292 289 286 285 286 283 275 265 255 236 169 73 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 3 8 10 7 9 13 12 8 4 1 1 1 2 2 3 3 3 4 4 4 5 5 4 4 4 4 3 3 4 5 5 5 6 7 8 9 10 10 11 13 15 14 14 13 14 14 13 14 15 15
0 0 0 0 0 2 4 7 10 13 17 18 20 21 23 22 22 21 19 17 16 16 12 8 12 24 38 55 76 103 151 204 254 301 340 357 361 358 350 338 324 308 295 283 276 275 279 285 291 295 299 298 297 290 279 268 245 199 117 23 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 1 1 1 2 3 4 5 3 1 0 0 1 2 2 3 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 5 6 7 8 9 11 12 14 16 17 16 14 13 14 16 16 16 16 16
0 0 0 1 2 4 7 9 13 16 18 19 21 23 21 25 29 31 30 28 30 29 25 23 21 12 11 17 26 44 73 110 151 197 252 293 321 338 343 342 331 318 303 290 281 279 283 291 301 308 309 310 308 301 291 280 264 226 157 62 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 5 5 5 5 5 4 4 5 5 5 4 4 3 3 3 4 4 4 5 6 7 8 9 11 13 15 16 17 16 15 15 17 19 18 17 16 16
1 2 2 4 6 8 9 12 15 18 19 21 23 26 27 29 34 39 42 42 46 45 43 45 45 45 41 29 15 17 26 37 56 91 135 182 230 276 308 323 327 325 319 308 299 298 302 310 318 324 323 320 313 305 297 283 266 236 180 97 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 10 8 5 3 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 8 10 11 13 16 17 18 17 16 18 20 20 20 20 20 21
4 5 7 8 9 10 10 12 14 16 18 20 22 26 29 34 39 45 49 49 53 56 55 55 56 61 58 46 37 34 29 26 26 32 48 78 123 181 236 270 297 316 326 322 315 314 318 327 337 337 333 327 319 312 301 280 259 238 200 127 51 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 16 17 12 7 2 1 1 1 2 3 4 5 5 4 4 4 5 5 5 6 7 8 8 8 9 10 11 13 16 18 19 18 17 19 22 22 21 22 22 23
9 10 11 11 10 10 9 10 11 13 14 17 21 25 27 30 35 42 47 48 50 55 58 59 58 60 64 63 57 55 53 48 42 31 24 23 39 85 130 174 215 250 282 300 308 315 322 334 342 342 341 338 331 313 295 273 249 229 220 154 76 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 13 16 13 8 3 1 0 0 0 1 1 3 3 3 3 3 4 4 5 6 7 8 8 8 9 10 11 11 13 16 19 20 20 19 21 23 24 24 23 21 21
12 13 13 12 10 9 8 7 8 10 12 13 18 22 24 24 25 34 38 40 42 44 47 50 52 54 56 56 55 59 59 54 53 54 40 21 8 10 32 59 90 130 177 219 254 283 306 322 330 336 341 343 337 315 295 276 254 229 223 163 80 14 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 1 2 3 6 11 12 10 6 3 1 0 0 0 0 0 1 2 2 3 3 3 3 4 6 7 7 8 8 9 10 11 11 12 14 18 20 21 20 19 21 23 25 26 26 25 23
14 15 14 12 9 8 6 5 6 8 9 10 13 17 21 22 20 29 34 37 40 42 42 44 46 48 50 52 56 58 59 57 54 53 43 31 27 21 9 3 12 41 74 110 152 199 243 268 290 308 320 331 330 320 307 291 267 229 208 170 101 13 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 2 5 8 9 9 8 5 2 1 0 0 0 0 0 0 0 1 2 2 2 2 3 4 6 6 7 8 9 10 11 12 13 13 14 16 20 22 19 19 21 24 25 26 27 27 26
16 16 14 11 7 5 3 3 3 3 4 3 5 9 14 18 19 25 31 37 42 43 42 43 46 47 49 50 52 53 55 57 57 58 56 51 43 29 20 15 12 15 21 38 67 101 144 186 225 259 280 295 303 306 306 299 275 246 221 194 152 46 9 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 2 6 9 9 7 4 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 6 6 7 9 10 11 12 13 14 13 13 14 17 22 22 21 22 22 23 25 26 27 28
15 16 15 12 7 2 1 1 0 1 1 1 2 3 5 8 12 17 23 29 38 41 46 48 49 48 48 50 51 52 54 57 61 63 62 59 55 50 46 43 38 34 17 6 12 29 65 104 146 189 219 240 259 275 286 284 270 252 232 213 193 102 34 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 2 4 5 6 5 2 0 0 0 0 0 0 0 0 0 1 1 3 3 2 3 4 5 6 7 8 9 10 11 12 13 14 13 13 13 14 17 21 22 23 20 21 24 26 28 29
12 15 15 13 8 2 0 0 0 0 0 0 0 1 2 4 7 10 15 23 29 34 39 42 45 46 46 47 49 52 53 55 56 57 57 58 59 61 62 59 56 54 41 24 14 12 22 39 63 100 135 168 200 227 245 250 250 247 241 234 213 147 66 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 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 6 8 9 10 9 9 10 11 12 12 12 12 14 14 14 16 18 21 22 22 24 26 28 29
6 8 9 9 6 4 2 1 0 0 0 0 0 1 3 4 6 10 14 19 22 26 30 33 34 37 40 42 45 46 47 47 47 47 49 49 52 58 64 69 77 80 76 69 53 21 10 16 30 55 83 113 143 173 196 213 225 233 235 230 208 163 95 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 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 7 8 9 9 9 9 9 9 8 9 9 10 11 11 13 15 15 17 21 22 22 24 26 27
2 5 8 9 8 6 5 3 2 0 0 0 0 1 3 5 8 11 15 19 21 24 27 28 29 32 34 36 40 40 40 39 39 39 39 41 45 49 56 66 79 89 94 99 96 77 59 51 54 65 80 98 117 139 158 174 190 205 213 213 200 167 109 39 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 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 3 4 4 5 6 8 8 8 8 8 8 8 7 7 7 8 7 7 8 9 11 13 15 15 18 20 20 20 23 26
2 4 7 9 8 7 5 4 3 2 0 0 0 1 2 5 9 14 18 18 21 24 26 28 29 30 32 34 36 37 38 38 38 37 36 37 38 39 42 48 56 64 72 83 96 101 100 100 98 99 104 111 118 128 140 150 160 175 187 192 186 162 112 60 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 9 9 9 8 8 7 7 6 6 6 6 5 5 6 8 10 12 14 14 18 18 18 19 21 24
1 3 6 6 6 5 4 3 2 1 0 0 0 0 1 4 10 16 20 20 22 25 28 30 31 32 34 36 37 37 37 37 35 34 32 30 29 28 28 30 32 36 40 49 63 77 89 102 109 112 114 118 126 125 125 127 131 139 144 150 154 142 111 72 32 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 1 2 3 4 5 6 8 9 9 8 7 6 6 6 6 5 5 4 4 5 7 9 11 13 15 17 17 17 18 19 22
0 1 2 2 3 3 3 3 2 1 0 0 0 0 2 5 10 14 19 23 26 29 32 33 35 37 39 41 40 39 37 34 32 30 27 24 21 19 17 17 17 19 22 28 35 43 52 61 69 74 76 76 79 79 79 81 82 80 80 85 95 87 74 56 32 6 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 2 3 4 4 5 7 7 7 7 6 6 5 5 6 6 6 5 5 5 7 9 11 12 15 18 20 20 20 22 24
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